TSTP Solution File: SYO578+1 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : SYO578+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 : n009.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 17:35:40 EDT 2022

% Result   : Theorem 1.00s 1.20s
% Output   : CNFRefutation 5.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   42
%            Number of leaves      :  235
% Syntax   : Number of formulae    : 3258 ( 589 unt; 149 typ;   0 def)
%            Number of atoms       : 48931 (12989 equ;   0 cnn)
%            Maximal formula atoms :   16 (  15 avg)
%            Number of connectives : 68003 (25292   ~;19032   |; 622   &;22867   @)
%                                         (   2 <=>; 188  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   12 (  12   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  152 ( 149 usr; 139 con; 0-2 aty)
%            Number of variables   : 5143 (   0   ^5013   !; 130   ?;5143   :)

% Comments : 
%------------------------------------------------------------------------------
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_k04_buttercup10100,type,
    k04_buttercup10100: $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_sK100_X33,type,
    sK100_X33: $i ).

thf(tp_sK101_X29,type,
    sK101_X29: $i ).

thf(tp_sK102_SY207,type,
    sK102_SY207: $i ).

thf(tp_sK103_SY209,type,
    sK103_SY209: $i ).

thf(tp_sK104_X28,type,
    sK104_X28: $i ).

thf(tp_sK105_X19,type,
    sK105_X19: $i ).

thf(tp_sK106_SY210,type,
    sK106_SY210: $i ).

thf(tp_sK107_SY212,type,
    sK107_SY212: $i ).

thf(tp_sK108_X23,type,
    sK108_X23: $i ).

thf(tp_sK109_X25,type,
    sK109_X25: $i ).

thf(tp_sK10_X89,type,
    sK10_X89: $i ).

thf(tp_sK110_X19,type,
    sK110_X19: $i ).

thf(tp_sK111_SY213,type,
    sK111_SY213: $i ).

thf(tp_sK112_SY215,type,
    sK112_SY215: $i ).

thf(tp_sK113_X25,type,
    sK113_X25: $i ).

thf(tp_sK114_X19,type,
    sK114_X19: $i ).

thf(tp_sK115_SY216,type,
    sK115_SY216: $i ).

thf(tp_sK116_SY218,type,
    sK116_SY218: $i ).

thf(tp_sK117_X23,type,
    sK117_X23: $i ).

thf(tp_sK118_X19,type,
    sK118_X19: $i ).

thf(tp_sK119_SY219,type,
    sK119_SY219: $i ).

thf(tp_sK11_X88,type,
    sK11_X88: $i ).

thf(tp_sK120_SY221,type,
    sK120_SY221: $i ).

thf(tp_sK121_X18,type,
    sK121_X18: $i ).

thf(tp_sK122_X9,type,
    sK122_X9: $i ).

thf(tp_sK123_SY222,type,
    sK123_SY222: $i ).

thf(tp_sK124_SY224,type,
    sK124_SY224: $i ).

thf(tp_sK125_X13,type,
    sK125_X13: $i ).

thf(tp_sK126_X15,type,
    sK126_X15: $i ).

thf(tp_sK127_X9,type,
    sK127_X9: $i ).

thf(tp_sK128_SY225,type,
    sK128_SY225: $i ).

thf(tp_sK129_SY227,type,
    sK129_SY227: $i ).

thf(tp_sK12_X87,type,
    sK12_X87: $i ).

thf(tp_sK130_X15,type,
    sK130_X15: $i ).

thf(tp_sK131_X9,type,
    sK131_X9: $i ).

thf(tp_sK132_SY228,type,
    sK132_SY228: $i ).

thf(tp_sK133_SY230,type,
    sK133_SY230: $i ).

thf(tp_sK134_X13,type,
    sK134_X13: $i ).

thf(tp_sK135_X9,type,
    sK135_X9: $i ).

thf(tp_sK136_SY231,type,
    sK136_SY231: $i ).

thf(tp_sK137_SY233,type,
    sK137_SY233: $i ).

thf(tp_sK13_X86,type,
    sK13_X86: $i ).

thf(tp_sK14_X85,type,
    sK14_X85: $i ).

thf(tp_sK15_X84,type,
    sK15_X84: $i ).

thf(tp_sK16_X83,type,
    sK16_X83: $i ).

thf(tp_sK17_X82,type,
    sK17_X82: $i ).

thf(tp_sK18_X74,type,
    sK18_X74: $i ).

thf(tp_sK19_SY150,type,
    sK19_SY150: $i ).

thf(tp_sK1_X144,type,
    sK1_X144: $i ).

thf(tp_sK20_SY152,type,
    sK20_SY152: $i ).

thf(tp_sK21_X78,type,
    sK21_X78: $i ).

thf(tp_sK22_X80,type,
    sK22_X80: $i ).

thf(tp_sK23_X74,type,
    sK23_X74: $i ).

thf(tp_sK24_SY153,type,
    sK24_SY153: $i ).

thf(tp_sK25_SY155,type,
    sK25_SY155: $i ).

thf(tp_sK26_X80,type,
    sK26_X80: $i ).

thf(tp_sK27_X74,type,
    sK27_X74: $i ).

thf(tp_sK28_SY156,type,
    sK28_SY156: $i ).

thf(tp_sK29_SY158,type,
    sK29_SY158: $i ).

thf(tp_sK2_X142,type,
    sK2_X142: $i ).

thf(tp_sK30_X78,type,
    sK30_X78: $i ).

thf(tp_sK31_X74,type,
    sK31_X74: $i ).

thf(tp_sK32_SY159,type,
    sK32_SY159: $i ).

thf(tp_sK33_SY161,type,
    sK33_SY161: $i ).

thf(tp_sK34_X72,type,
    sK34_X72: $i ).

thf(tp_sK35_X63,type,
    sK35_X63: $i ).

thf(tp_sK36_SY162,type,
    sK36_SY162: $i ).

thf(tp_sK37_SY164,type,
    sK37_SY164: $i ).

thf(tp_sK38_X67,type,
    sK38_X67: $i ).

thf(tp_sK39_X69,type,
    sK39_X69: $i ).

thf(tp_sK3_X149,type,
    sK3_X149: $i ).

thf(tp_sK40_X63,type,
    sK40_X63: $i ).

thf(tp_sK41_SY165,type,
    sK41_SY165: $i ).

thf(tp_sK42_SY167,type,
    sK42_SY167: $i ).

thf(tp_sK43_X69,type,
    sK43_X69: $i ).

thf(tp_sK44_X63,type,
    sK44_X63: $i ).

thf(tp_sK45_SY168,type,
    sK45_SY168: $i ).

thf(tp_sK46_SY170,type,
    sK46_SY170: $i ).

thf(tp_sK47_X67,type,
    sK47_X67: $i ).

thf(tp_sK48_X63,type,
    sK48_X63: $i ).

thf(tp_sK49_SY171,type,
    sK49_SY171: $i ).

thf(tp_sK4_REN,type,
    sK4_REN: $o ).

thf(tp_sK50_SY173,type,
    sK50_SY173: $i ).

thf(tp_sK51_X62,type,
    sK51_X62: $i ).

thf(tp_sK52_X60,type,
    sK52_X60: $i ).

thf(tp_sK53_X58,type,
    sK53_X58: $i ).

thf(tp_sK54_X56,type,
    sK54_X56: $i ).

thf(tp_sK55_X47,type,
    sK55_X47: $i ).

thf(tp_sK56_SY174,type,
    sK56_SY174: $i ).

thf(tp_sK57_SY176,type,
    sK57_SY176: $i ).

thf(tp_sK58_X51,type,
    sK58_X51: $i ).

thf(tp_sK59_X53,type,
    sK59_X53: $i ).

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

thf(tp_sK60_X47,type,
    sK60_X47: $i ).

thf(tp_sK61_SY177,type,
    sK61_SY177: $i ).

thf(tp_sK62_SY179,type,
    sK62_SY179: $i ).

thf(tp_sK63_X53,type,
    sK63_X53: $i ).

thf(tp_sK64_X47,type,
    sK64_X47: $i ).

thf(tp_sK65_SY180,type,
    sK65_SY180: $i ).

thf(tp_sK66_SY182,type,
    sK66_SY182: $i ).

thf(tp_sK67_X51,type,
    sK67_X51: $i ).

thf(tp_sK68_X47,type,
    sK68_X47: $i ).

thf(tp_sK69_SY183,type,
    sK69_SY183: $i ).

thf(tp_sK6_X93,type,
    sK6_X93: $i ).

thf(tp_sK70_SY185,type,
    sK70_SY185: $i ).

thf(tp_sK71_X39,type,
    sK71_X39: $i ).

thf(tp_sK72_SY186,type,
    sK72_SY186: $i ).

thf(tp_sK73_SY188,type,
    sK73_SY188: $i ).

thf(tp_sK74_X43,type,
    sK74_X43: $i ).

thf(tp_sK75_X45,type,
    sK75_X45: $i ).

thf(tp_sK76_X39,type,
    sK76_X39: $i ).

thf(tp_sK77_SY189,type,
    sK77_SY189: $i ).

thf(tp_sK78_SY191,type,
    sK78_SY191: $i ).

thf(tp_sK79_X45,type,
    sK79_X45: $i ).

thf(tp_sK7_X92,type,
    sK7_X92: $i ).

thf(tp_sK80_X39,type,
    sK80_X39: $i ).

thf(tp_sK81_SY192,type,
    sK81_SY192: $i ).

thf(tp_sK82_SY194,type,
    sK82_SY194: $i ).

thf(tp_sK83_X43,type,
    sK83_X43: $i ).

thf(tp_sK84_X39,type,
    sK84_X39: $i ).

thf(tp_sK85_SY195,type,
    sK85_SY195: $i ).

thf(tp_sK86_SY197,type,
    sK86_SY197: $i ).

thf(tp_sK87_X38,type,
    sK87_X38: $i ).

thf(tp_sK88_X29,type,
    sK88_X29: $i ).

thf(tp_sK89_SY198,type,
    sK89_SY198: $i ).

thf(tp_sK8_X91,type,
    sK8_X91: $i ).

thf(tp_sK90_SY200,type,
    sK90_SY200: $i ).

thf(tp_sK91_X33,type,
    sK91_X33: $i ).

thf(tp_sK92_X35,type,
    sK92_X35: $i ).

thf(tp_sK93_X29,type,
    sK93_X29: $i ).

thf(tp_sK94_SY201,type,
    sK94_SY201: $i ).

thf(tp_sK95_SY203,type,
    sK95_SY203: $i ).

thf(tp_sK96_X35,type,
    sK96_X35: $i ).

thf(tp_sK97_X29,type,
    sK97_X29: $i ).

thf(tp_sK98_SY204,type,
    sK98_SY204: $i ).

thf(tp_sK99_SY206,type,
    sK99_SY206: $i ).

thf(tp_sK9_X90,type,
    sK9_X90: $i ).

thf(1,axiom,
    ! [X141: $i] :
      ( ( b48_buttercup10098 @ X141 )
     => ( ( b48_buttercup10102 @ X141 )
        | ( b48_buttercup10104 @ X141 )
        | ( b48_buttercup10107 @ X141 )
        | ( b48_buttercup10108 @ X141 )
        | ( b48_buttercup10109 @ X141 )
        | ( b48_buttercup10110 @ X141 )
        | ( b48_buttercup10111 @ X141 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_85) ).

thf(2,axiom,
    ! [X140: $i] :
      ( ( k04_buttercup10619 @ X140 )
     => ( ( k04_buttercup10620 @ X140 )
        | ( k04_buttercup10622 @ X140 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_84) ).

thf(3,axiom,
    ! [X139: $i] :
      ( ( b48_buttercup10111 @ X139 )
     => ~ ( b48_buttercup10110 @ X139 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_83) ).

thf(4,axiom,
    ! [X138: $i] :
      ( ( b48_buttercup10111 @ X138 )
     => ~ ( b48_buttercup10109 @ X138 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_82) ).

thf(5,axiom,
    ! [X137: $i] :
      ( ( b48_buttercup10111 @ X137 )
     => ~ ( b48_buttercup10108 @ X137 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_81) ).

thf(6,axiom,
    ! [X136: $i] :
      ( ( b48_buttercup10111 @ X136 )
     => ~ ( b48_buttercup10107 @ X136 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_80) ).

thf(7,axiom,
    ! [X135: $i] :
      ( ( b48_buttercup10111 @ X135 )
     => ~ ( b48_buttercup10104 @ X135 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_79) ).

thf(8,axiom,
    ! [X134: $i] :
      ( ( b48_buttercup10111 @ X134 )
     => ~ ( b48_buttercup10102 @ X134 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_78) ).

thf(9,axiom,
    ! [X133: $i] :
      ( ( b48_buttercup10110 @ X133 )
     => ~ ( b48_buttercup10111 @ X133 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_77) ).

thf(10,axiom,
    ! [X132: $i] :
      ( ( b48_buttercup10110 @ X132 )
     => ~ ( b48_buttercup10109 @ X132 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_76) ).

thf(11,axiom,
    ! [X131: $i] :
      ( ( b48_buttercup10110 @ X131 )
     => ~ ( b48_buttercup10108 @ X131 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_75) ).

thf(12,axiom,
    ! [X130: $i] :
      ( ( b48_buttercup10110 @ X130 )
     => ~ ( b48_buttercup10107 @ X130 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_74) ).

thf(13,axiom,
    ! [X129: $i] :
      ( ( b48_buttercup10110 @ X129 )
     => ~ ( b48_buttercup10104 @ X129 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_73) ).

thf(14,axiom,
    ! [X128: $i] :
      ( ( b48_buttercup10110 @ X128 )
     => ~ ( b48_buttercup10102 @ X128 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_72) ).

thf(15,axiom,
    ! [X127: $i] :
      ( ( b48_buttercup10109 @ X127 )
     => ~ ( b48_buttercup10111 @ X127 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_71) ).

thf(16,axiom,
    ! [X126: $i] :
      ( ( b48_buttercup10109 @ X126 )
     => ~ ( b48_buttercup10110 @ X126 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_70) ).

thf(17,axiom,
    ! [X125: $i] :
      ( ( b48_buttercup10109 @ X125 )
     => ~ ( b48_buttercup10108 @ X125 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_69) ).

thf(18,axiom,
    ! [X124: $i] :
      ( ( b48_buttercup10109 @ X124 )
     => ~ ( b48_buttercup10107 @ X124 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_68) ).

thf(19,axiom,
    ! [X123: $i] :
      ( ( b48_buttercup10109 @ X123 )
     => ~ ( b48_buttercup10104 @ X123 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_67) ).

thf(20,axiom,
    ! [X122: $i] :
      ( ( b48_buttercup10109 @ X122 )
     => ~ ( b48_buttercup10102 @ X122 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_66) ).

thf(21,axiom,
    ! [X121: $i] :
      ( ( b48_buttercup10108 @ X121 )
     => ~ ( b48_buttercup10111 @ X121 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_65) ).

thf(22,axiom,
    ! [X120: $i] :
      ( ( b48_buttercup10108 @ X120 )
     => ~ ( b48_buttercup10110 @ X120 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_64) ).

thf(23,axiom,
    ! [X119: $i] :
      ( ( b48_buttercup10108 @ X119 )
     => ~ ( b48_buttercup10109 @ X119 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_63) ).

thf(24,axiom,
    ! [X118: $i] :
      ( ( b48_buttercup10108 @ X118 )
     => ~ ( b48_buttercup10107 @ X118 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_62) ).

thf(25,axiom,
    ! [X117: $i] :
      ( ( b48_buttercup10108 @ X117 )
     => ~ ( b48_buttercup10104 @ X117 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_61) ).

thf(26,axiom,
    ! [X116: $i] :
      ( ( b48_buttercup10108 @ X116 )
     => ~ ( b48_buttercup10102 @ X116 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_60) ).

thf(27,axiom,
    ! [X115: $i] :
      ( ( b48_buttercup10107 @ X115 )
     => ~ ( b48_buttercup10111 @ X115 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_59) ).

thf(28,axiom,
    ! [X114: $i] :
      ( ( b48_buttercup10107 @ X114 )
     => ~ ( b48_buttercup10110 @ X114 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_58) ).

thf(29,axiom,
    ! [X113: $i] :
      ( ( b48_buttercup10107 @ X113 )
     => ~ ( b48_buttercup10109 @ X113 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_57) ).

thf(30,axiom,
    ! [X112: $i] :
      ( ( b48_buttercup10107 @ X112 )
     => ~ ( b48_buttercup10108 @ X112 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_56) ).

thf(31,axiom,
    ! [X111: $i] :
      ( ( b48_buttercup10107 @ X111 )
     => ~ ( b48_buttercup10104 @ X111 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_55) ).

thf(32,axiom,
    ! [X110: $i] :
      ( ( b48_buttercup10107 @ X110 )
     => ~ ( b48_buttercup10102 @ X110 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_54) ).

thf(33,axiom,
    ! [X109: $i] :
      ( ( b48_buttercup10104 @ X109 )
     => ~ ( b48_buttercup10111 @ X109 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_53) ).

thf(34,axiom,
    ! [X108: $i] :
      ( ( b48_buttercup10104 @ X108 )
     => ~ ( b48_buttercup10110 @ X108 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_52) ).

thf(35,axiom,
    ! [X107: $i] :
      ( ( b48_buttercup10104 @ X107 )
     => ~ ( b48_buttercup10109 @ X107 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_51) ).

thf(36,axiom,
    ! [X106: $i] :
      ( ( b48_buttercup10104 @ X106 )
     => ~ ( b48_buttercup10108 @ X106 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_50) ).

thf(37,axiom,
    ! [X105: $i] :
      ( ( b48_buttercup10104 @ X105 )
     => ~ ( b48_buttercup10107 @ X105 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_49) ).

thf(38,axiom,
    ! [X104: $i] :
      ( ( b48_buttercup10104 @ X104 )
     => ~ ( b48_buttercup10102 @ X104 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_48) ).

thf(39,axiom,
    ! [X103: $i] :
      ( ( b48_buttercup10102 @ X103 )
     => ~ ( b48_buttercup10111 @ X103 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_47) ).

thf(40,axiom,
    ! [X102: $i] :
      ( ( b48_buttercup10102 @ X102 )
     => ~ ( b48_buttercup10110 @ X102 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_46) ).

thf(41,axiom,
    ! [X101: $i] :
      ( ( b48_buttercup10102 @ X101 )
     => ~ ( b48_buttercup10109 @ X101 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_45) ).

thf(42,axiom,
    ! [X100: $i] :
      ( ( b48_buttercup10102 @ X100 )
     => ~ ( b48_buttercup10108 @ X100 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_44) ).

thf(43,axiom,
    ! [X99: $i] :
      ( ( b48_buttercup10102 @ X99 )
     => ~ ( b48_buttercup10107 @ X99 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_43) ).

thf(44,axiom,
    ! [X98: $i] :
      ( ( b48_buttercup10102 @ X98 )
     => ~ ( b48_buttercup10104 @ X98 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_42) ).

thf(45,axiom,
    ! [X97: $i] :
      ( ( k04_buttercup10619 @ X97 )
     => ~ ( k04_buttercup10100 @ X97 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_41) ).

thf(46,axiom,
    ! [X96: $i] :
      ( ( k04_buttercup10622 @ X96 )
     => ~ ( k04_buttercup10620 @ X96 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_40) ).

thf(47,axiom,
    ! [X95: $i] :
      ( ( k04_buttercup10620 @ X95 )
     => ~ ( k04_buttercup10622 @ X95 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_39) ).

thf(48,axiom,
    ! [X94: $i] :
      ( ( k04_buttercup10100 @ X94 )
     => ~ ( k04_buttercup10619 @ X94 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_38) ).

thf(49,axiom,
    ? [X93: $i] : ( b48_buttercup10109 @ X93 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_37) ).

thf(50,axiom,
    ? [X92: $i] : ( b48_buttercup10108 @ X92 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_36) ).

thf(51,axiom,
    ? [X91: $i] : ( b48_buttercup10107 @ X91 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_35) ).

thf(52,axiom,
    ? [X90: $i] : ( b48_buttercup10104 @ X90 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_34) ).

thf(53,axiom,
    ? [X89: $i] : ( b48_buttercup10102 @ X89 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_33) ).

thf(54,axiom,
    ? [X88: $i] : ( b48_buttercup10110 @ X88 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_32) ).

thf(55,axiom,
    ? [X87: $i] : ( b48_buttercup10111 @ X87 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_31) ).

thf(56,axiom,
    ? [X86: $i] : ( b48_buttercup10098 @ X86 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_30) ).

thf(57,axiom,
    ? [X85: $i] : ( k04_buttercup10622 @ X85 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_29) ).

thf(58,axiom,
    ? [X84: $i] : ( k04_buttercup10620 @ X84 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_28) ).

thf(59,axiom,
    ? [X83: $i] : ( k04_buttercup10619 @ X83 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_27) ).

thf(60,axiom,
    ? [X82: $i] : ( k04_buttercup10100 @ X82 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_26) ).

thf(61,axiom,
    ( ? [X74: $i,X75: $i,X76: $i] :
        ( ( k04_buttercup10100 @ X74 )
        & ( b48_buttercup10107 @ X74 )
        & ( k04_buttercup10100 @ X75 )
        & ~ ( b48_buttercup10107 @ X75 )
        & ~ ( k04_buttercup10100 @ X76 )
        & ( b48_buttercup10107 @ X76 ) )
    | ( ! [X77: $i] :
          ( ( b48_buttercup10107 @ X77 )
         => ( k04_buttercup10100 @ X77 ) )
      & ? [X78: $i] :
          ( ( k04_buttercup10100 @ X78 )
          & ~ ( b48_buttercup10107 @ X78 ) ) )
    | ( ! [X79: $i] :
          ( ( k04_buttercup10100 @ X79 )
         => ( b48_buttercup10107 @ X79 ) )
      & ? [X80: $i] :
          ( ( b48_buttercup10107 @ X80 )
          & ~ ( k04_buttercup10100 @ X80 ) ) )
    | ! [X81: $i] :
        ( ( k04_buttercup10100 @ X81 )
       => ~ ( b48_buttercup10107 @ X81 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_25) ).

thf(62,axiom,
    ! [X73: $i] :
      ( ( k04_buttercup10620 @ X73 )
    <=> ( b48_buttercup10107 @ X73 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_24) ).

thf(63,axiom,
    ( ! [X71: $i] :
        ( ( b48_buttercup10102 @ X71 )
       => ( k04_buttercup10622 @ X71 ) )
    & ? [X72: $i] :
        ( ( k04_buttercup10622 @ X72 )
        & ~ ( b48_buttercup10102 @ X72 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_23) ).

thf(64,axiom,
    ( ? [X63: $i,X64: $i,X65: $i] :
        ( ( k04_buttercup10100 @ X63 )
        & ( b48_buttercup10102 @ X63 )
        & ( k04_buttercup10100 @ X64 )
        & ~ ( b48_buttercup10102 @ X64 )
        & ~ ( k04_buttercup10100 @ X65 )
        & ( b48_buttercup10102 @ X65 ) )
    | ( ! [X66: $i] :
          ( ( b48_buttercup10102 @ X66 )
         => ( k04_buttercup10100 @ X66 ) )
      & ? [X67: $i] :
          ( ( k04_buttercup10100 @ X67 )
          & ~ ( b48_buttercup10102 @ X67 ) ) )
    | ( ! [X68: $i] :
          ( ( k04_buttercup10100 @ X68 )
         => ( b48_buttercup10102 @ X68 ) )
      & ? [X69: $i] :
          ( ( b48_buttercup10102 @ X69 )
          & ~ ( k04_buttercup10100 @ X69 ) ) )
    | ! [X70: $i] :
        ( ( k04_buttercup10100 @ X70 )
       => ~ ( b48_buttercup10102 @ X70 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_22) ).

thf(65,axiom,
    ( ! [X61: $i] :
        ( ( k04_buttercup10100 @ X61 )
       => ( b48_buttercup10098 @ X61 ) )
    & ? [X62: $i] :
        ( ( b48_buttercup10098 @ X62 )
        & ~ ( k04_buttercup10100 @ X62 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_21) ).

thf(66,axiom,
    ( ! [X59: $i] :
        ( ( b48_buttercup10108 @ X59 )
       => ( k04_buttercup10622 @ X59 ) )
    & ? [X60: $i] :
        ( ( k04_buttercup10622 @ X60 )
        & ~ ( b48_buttercup10108 @ X60 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_20) ).

thf(67,axiom,
    ( ! [X57: $i] :
        ( ( b48_buttercup10110 @ X57 )
       => ( k04_buttercup10622 @ X57 ) )
    & ? [X58: $i] :
        ( ( k04_buttercup10622 @ X58 )
        & ~ ( b48_buttercup10110 @ X58 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_19) ).

thf(68,axiom,
    ( ! [X55: $i] :
        ( ( b48_buttercup10104 @ X55 )
       => ( k04_buttercup10622 @ X55 ) )
    & ? [X56: $i] :
        ( ( k04_buttercup10622 @ X56 )
        & ~ ( b48_buttercup10104 @ X56 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_18) ).

thf(69,axiom,
    ( ? [X47: $i,X48: $i,X49: $i] :
        ( ( k04_buttercup10100 @ X47 )
        & ( b48_buttercup10110 @ X47 )
        & ( k04_buttercup10100 @ X48 )
        & ~ ( b48_buttercup10110 @ X48 )
        & ~ ( k04_buttercup10100 @ X49 )
        & ( b48_buttercup10110 @ X49 ) )
    | ( ! [X50: $i] :
          ( ( b48_buttercup10110 @ X50 )
         => ( k04_buttercup10100 @ X50 ) )
      & ? [X51: $i] :
          ( ( k04_buttercup10100 @ X51 )
          & ~ ( b48_buttercup10110 @ X51 ) ) )
    | ( ! [X52: $i] :
          ( ( k04_buttercup10100 @ X52 )
         => ( b48_buttercup10110 @ X52 ) )
      & ? [X53: $i] :
          ( ( b48_buttercup10110 @ X53 )
          & ~ ( k04_buttercup10100 @ X53 ) ) )
    | ! [X54: $i] :
        ( ( k04_buttercup10100 @ X54 )
       => ~ ( b48_buttercup10110 @ X54 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_17) ).

thf(70,axiom,
    ( ? [X39: $i,X40: $i,X41: $i] :
        ( ( k04_buttercup10100 @ X39 )
        & ( b48_buttercup10108 @ X39 )
        & ( k04_buttercup10100 @ X40 )
        & ~ ( b48_buttercup10108 @ X40 )
        & ~ ( k04_buttercup10100 @ X41 )
        & ( b48_buttercup10108 @ X41 ) )
    | ( ! [X42: $i] :
          ( ( b48_buttercup10108 @ X42 )
         => ( k04_buttercup10100 @ X42 ) )
      & ? [X43: $i] :
          ( ( k04_buttercup10100 @ X43 )
          & ~ ( b48_buttercup10108 @ X43 ) ) )
    | ( ! [X44: $i] :
          ( ( k04_buttercup10100 @ X44 )
         => ( b48_buttercup10108 @ X44 ) )
      & ? [X45: $i] :
          ( ( b48_buttercup10108 @ X45 )
          & ~ ( k04_buttercup10100 @ X45 ) ) )
    | ! [X46: $i] :
        ( ( k04_buttercup10100 @ X46 )
       => ~ ( b48_buttercup10108 @ X46 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_16) ).

thf(71,axiom,
    ( ! [X37: $i] :
        ( ( b48_buttercup10111 @ X37 )
       => ( k04_buttercup10100 @ X37 ) )
    & ? [X38: $i] :
        ( ( k04_buttercup10100 @ X38 )
        & ~ ( b48_buttercup10111 @ X38 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_15) ).

thf(72,axiom,
    ( ? [X29: $i,X30: $i,X31: $i] :
        ( ( k04_buttercup10619 @ X29 )
        & ( b48_buttercup10109 @ X29 )
        & ( k04_buttercup10619 @ X30 )
        & ~ ( b48_buttercup10109 @ X30 )
        & ~ ( k04_buttercup10619 @ X31 )
        & ( b48_buttercup10109 @ X31 ) )
    | ( ! [X32: $i] :
          ( ( b48_buttercup10109 @ X32 )
         => ( k04_buttercup10619 @ X32 ) )
      & ? [X33: $i] :
          ( ( k04_buttercup10619 @ X33 )
          & ~ ( b48_buttercup10109 @ X33 ) ) )
    | ( ! [X34: $i] :
          ( ( k04_buttercup10619 @ X34 )
         => ( b48_buttercup10109 @ X34 ) )
      & ? [X35: $i] :
          ( ( b48_buttercup10109 @ X35 )
          & ~ ( k04_buttercup10619 @ X35 ) ) )
    | ! [X36: $i] :
        ( ( k04_buttercup10619 @ X36 )
       => ~ ( b48_buttercup10109 @ X36 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_14) ).

thf(73,axiom,
    ( ! [X27: $i] :
        ( ( k04_buttercup10619 @ X27 )
       => ( b48_buttercup10098 @ X27 ) )
    & ? [X28: $i] :
        ( ( b48_buttercup10098 @ X28 )
        & ~ ( k04_buttercup10619 @ X28 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_13) ).

thf(74,axiom,
    ( ? [X19: $i,X20: $i,X21: $i] :
        ( ( k04_buttercup10619 @ X19 )
        & ( b48_buttercup10111 @ X19 )
        & ( k04_buttercup10619 @ X20 )
        & ~ ( b48_buttercup10111 @ X20 )
        & ~ ( k04_buttercup10619 @ X21 )
        & ( b48_buttercup10111 @ X21 ) )
    | ( ! [X22: $i] :
          ( ( b48_buttercup10111 @ X22 )
         => ( k04_buttercup10619 @ X22 ) )
      & ? [X23: $i] :
          ( ( k04_buttercup10619 @ X23 )
          & ~ ( b48_buttercup10111 @ X23 ) ) )
    | ( ! [X24: $i] :
          ( ( k04_buttercup10619 @ X24 )
         => ( b48_buttercup10111 @ X24 ) )
      & ? [X25: $i] :
          ( ( b48_buttercup10111 @ X25 )
          & ~ ( k04_buttercup10619 @ X25 ) ) )
    | ! [X26: $i] :
        ( ( k04_buttercup10619 @ X26 )
       => ~ ( b48_buttercup10111 @ X26 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_12) ).

thf(75,axiom,
    ( ! [X17: $i] :
        ( ( b48_buttercup10109 @ X17 )
       => ( k04_buttercup10100 @ X17 ) )
    & ? [X18: $i] :
        ( ( k04_buttercup10100 @ X18 )
        & ~ ( b48_buttercup10109 @ X18 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_11) ).

thf(76,axiom,
    ( ? [X9: $i,X10: $i,X11: $i] :
        ( ( k04_buttercup10100 @ X9 )
        & ( b48_buttercup10104 @ X9 )
        & ( k04_buttercup10100 @ X10 )
        & ~ ( b48_buttercup10104 @ X10 )
        & ~ ( k04_buttercup10100 @ X11 )
        & ( b48_buttercup10104 @ X11 ) )
    | ( ! [X12: $i] :
          ( ( b48_buttercup10104 @ X12 )
         => ( k04_buttercup10100 @ X12 ) )
      & ? [X13: $i] :
          ( ( k04_buttercup10100 @ X13 )
          & ~ ( b48_buttercup10104 @ X13 ) ) )
    | ( ! [X14: $i] :
          ( ( k04_buttercup10100 @ X14 )
         => ( b48_buttercup10104 @ X14 ) )
      & ? [X15: $i] :
          ( ( b48_buttercup10104 @ X15 )
          & ~ ( k04_buttercup10100 @ X15 ) ) )
    | ! [X16: $i] :
        ( ( k04_buttercup10100 @ X16 )
       => ~ ( b48_buttercup10104 @ X16 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_10) ).

thf(77,axiom,
    ! [X8: $i] :
      ( ( b48_buttercup10111 @ X8 )
     => ( b48_buttercup10098 @ X8 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_09) ).

thf(78,axiom,
    ! [X7: $i] :
      ( ( b48_buttercup10110 @ X7 )
     => ( b48_buttercup10098 @ X7 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_08) ).

thf(79,axiom,
    ! [X6: $i] :
      ( ( b48_buttercup10109 @ X6 )
     => ( b48_buttercup10098 @ X6 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_07) ).

thf(80,axiom,
    ! [X5: $i] :
      ( ( b48_buttercup10108 @ X5 )
     => ( b48_buttercup10098 @ X5 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_06) ).

thf(81,axiom,
    ! [X4: $i] :
      ( ( b48_buttercup10107 @ X4 )
     => ( b48_buttercup10098 @ X4 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_05) ).

thf(82,axiom,
    ! [X3: $i] :
      ( ( b48_buttercup10104 @ X3 )
     => ( b48_buttercup10098 @ X3 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_04) ).

thf(83,axiom,
    ! [X2: $i] :
      ( ( b48_buttercup10102 @ X2 )
     => ( b48_buttercup10098 @ X2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_03) ).

thf(84,axiom,
    ! [X1: $i] :
      ( ( k04_buttercup10622 @ X1 )
     => ( k04_buttercup10619 @ X1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02) ).

thf(85,axiom,
    ! [X0: $i] :
      ( ( k04_buttercup10620 @ X0 )
     => ( k04_buttercup10619 @ X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_01) ).

thf(86,conjecture,
    ( ( ! [X142: $i] :
          ( ( b48_buttercup10098 @ X142 )
         => ( k04_buttercup10100 @ X142 ) )
      & ? [X143: $i] :
          ( ( k04_buttercup10100 @ X143 )
          & ~ ( b48_buttercup10098 @ X143 ) ) )
    | ( ! [X144: $i] :
          ( ( k04_buttercup10100 @ X144 )
         => ( b48_buttercup10098 @ X144 ) )
      & ? [X145: $i] :
          ( ( b48_buttercup10098 @ X145 )
          & ~ ( k04_buttercup10100 @ X145 ) ) )
    | ? [X146: $i,X147: $i,X148: $i] :
        ( ( k04_buttercup10100 @ X146 )
        & ( b48_buttercup10098 @ X146 )
        & ( k04_buttercup10100 @ X147 )
        & ~ ( b48_buttercup10098 @ X147 )
        & ~ ( k04_buttercup10100 @ X148 )
        & ( b48_buttercup10098 @ X148 ) )
    | ! [X149: $i] :
        ( ( k04_buttercup10100 @ X149 )
       => ~ ( b48_buttercup10098 @ X149 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_86) ).

thf(87,negated_conjecture,
    ( ( ( ! [X142: $i] :
            ( ( b48_buttercup10098 @ X142 )
           => ( k04_buttercup10100 @ X142 ) )
        & ? [X143: $i] :
            ( ( k04_buttercup10100 @ X143 )
            & ~ ( b48_buttercup10098 @ X143 ) ) )
      | ( ! [X144: $i] :
            ( ( k04_buttercup10100 @ X144 )
           => ( b48_buttercup10098 @ X144 ) )
        & ? [X145: $i] :
            ( ( b48_buttercup10098 @ X145 )
            & ~ ( k04_buttercup10100 @ X145 ) ) )
      | ? [X146: $i,X147: $i,X148: $i] :
          ( ( k04_buttercup10100 @ X146 )
          & ( b48_buttercup10098 @ X146 )
          & ( k04_buttercup10100 @ X147 )
          & ~ ( b48_buttercup10098 @ X147 )
          & ~ ( k04_buttercup10100 @ X148 )
          & ( b48_buttercup10098 @ X148 ) )
      | ! [X149: $i] :
          ( ( k04_buttercup10100 @ X149 )
         => ~ ( b48_buttercup10098 @ X149 ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[86]) ).

thf(88,plain,
    ( ( ( ! [X142: $i] :
            ( ( b48_buttercup10098 @ X142 )
           => ( k04_buttercup10100 @ X142 ) )
        & ? [X143: $i] :
            ( ( k04_buttercup10100 @ X143 )
            & ~ ( b48_buttercup10098 @ X143 ) ) )
      | ( ! [X144: $i] :
            ( ( k04_buttercup10100 @ X144 )
           => ( b48_buttercup10098 @ X144 ) )
        & ? [X145: $i] :
            ( ( b48_buttercup10098 @ X145 )
            & ~ ( k04_buttercup10100 @ X145 ) ) )
      | ? [X146: $i,X147: $i,X148: $i] :
          ( ( k04_buttercup10100 @ X146 )
          & ( b48_buttercup10098 @ X146 )
          & ( k04_buttercup10100 @ X147 )
          & ~ ( b48_buttercup10098 @ X147 )
          & ~ ( k04_buttercup10100 @ X148 )
          & ( b48_buttercup10098 @ X148 ) )
      | ! [X149: $i] :
          ( ( k04_buttercup10100 @ X149 )
         => ~ ( b48_buttercup10098 @ X149 ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[87]) ).

thf(89,plain,
    ( ( ! [X141: $i] :
          ( ( b48_buttercup10098 @ X141 )
         => ( ( b48_buttercup10102 @ X141 )
            | ( b48_buttercup10104 @ X141 )
            | ( b48_buttercup10107 @ X141 )
            | ( b48_buttercup10108 @ X141 )
            | ( b48_buttercup10109 @ X141 )
            | ( b48_buttercup10110 @ X141 )
            | ( b48_buttercup10111 @ X141 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1]) ).

thf(90,plain,
    ( ( ! [X140: $i] :
          ( ( k04_buttercup10619 @ X140 )
         => ( ( k04_buttercup10620 @ X140 )
            | ( k04_buttercup10622 @ X140 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(91,plain,
    ( ( ! [X139: $i] :
          ( ( b48_buttercup10111 @ X139 )
         => ~ ( b48_buttercup10110 @ X139 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3]) ).

thf(92,plain,
    ( ( ! [X138: $i] :
          ( ( b48_buttercup10111 @ X138 )
         => ~ ( b48_buttercup10109 @ X138 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[4]) ).

thf(93,plain,
    ( ( ! [X137: $i] :
          ( ( b48_buttercup10111 @ X137 )
         => ~ ( b48_buttercup10108 @ X137 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5]) ).

thf(94,plain,
    ( ( ! [X136: $i] :
          ( ( b48_buttercup10111 @ X136 )
         => ~ ( b48_buttercup10107 @ X136 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[6]) ).

thf(95,plain,
    ( ( ! [X135: $i] :
          ( ( b48_buttercup10111 @ X135 )
         => ~ ( b48_buttercup10104 @ X135 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7]) ).

thf(96,plain,
    ( ( ! [X134: $i] :
          ( ( b48_buttercup10111 @ X134 )
         => ~ ( b48_buttercup10102 @ X134 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[8]) ).

thf(97,plain,
    ( ( ! [X133: $i] :
          ( ( b48_buttercup10110 @ X133 )
         => ~ ( b48_buttercup10111 @ X133 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[9]) ).

thf(98,plain,
    ( ( ! [X132: $i] :
          ( ( b48_buttercup10110 @ X132 )
         => ~ ( b48_buttercup10109 @ X132 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10]) ).

thf(99,plain,
    ( ( ! [X131: $i] :
          ( ( b48_buttercup10110 @ X131 )
         => ~ ( b48_buttercup10108 @ X131 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[11]) ).

thf(100,plain,
    ( ( ! [X130: $i] :
          ( ( b48_buttercup10110 @ X130 )
         => ~ ( b48_buttercup10107 @ X130 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[12]) ).

thf(101,plain,
    ( ( ! [X129: $i] :
          ( ( b48_buttercup10110 @ X129 )
         => ~ ( b48_buttercup10104 @ X129 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[13]) ).

thf(102,plain,
    ( ( ! [X128: $i] :
          ( ( b48_buttercup10110 @ X128 )
         => ~ ( b48_buttercup10102 @ X128 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[14]) ).

thf(103,plain,
    ( ( ! [X127: $i] :
          ( ( b48_buttercup10109 @ X127 )
         => ~ ( b48_buttercup10111 @ X127 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[15]) ).

thf(104,plain,
    ( ( ! [X126: $i] :
          ( ( b48_buttercup10109 @ X126 )
         => ~ ( b48_buttercup10110 @ X126 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[16]) ).

thf(105,plain,
    ( ( ! [X125: $i] :
          ( ( b48_buttercup10109 @ X125 )
         => ~ ( b48_buttercup10108 @ X125 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[17]) ).

thf(106,plain,
    ( ( ! [X124: $i] :
          ( ( b48_buttercup10109 @ X124 )
         => ~ ( b48_buttercup10107 @ X124 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[18]) ).

thf(107,plain,
    ( ( ! [X123: $i] :
          ( ( b48_buttercup10109 @ X123 )
         => ~ ( b48_buttercup10104 @ X123 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[19]) ).

thf(108,plain,
    ( ( ! [X122: $i] :
          ( ( b48_buttercup10109 @ X122 )
         => ~ ( b48_buttercup10102 @ X122 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[20]) ).

thf(109,plain,
    ( ( ! [X121: $i] :
          ( ( b48_buttercup10108 @ X121 )
         => ~ ( b48_buttercup10111 @ X121 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[21]) ).

thf(110,plain,
    ( ( ! [X120: $i] :
          ( ( b48_buttercup10108 @ X120 )
         => ~ ( b48_buttercup10110 @ X120 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[22]) ).

thf(111,plain,
    ( ( ! [X119: $i] :
          ( ( b48_buttercup10108 @ X119 )
         => ~ ( b48_buttercup10109 @ X119 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[23]) ).

thf(112,plain,
    ( ( ! [X118: $i] :
          ( ( b48_buttercup10108 @ X118 )
         => ~ ( b48_buttercup10107 @ X118 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[24]) ).

thf(113,plain,
    ( ( ! [X117: $i] :
          ( ( b48_buttercup10108 @ X117 )
         => ~ ( b48_buttercup10104 @ X117 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[25]) ).

thf(114,plain,
    ( ( ! [X116: $i] :
          ( ( b48_buttercup10108 @ X116 )
         => ~ ( b48_buttercup10102 @ X116 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[26]) ).

thf(115,plain,
    ( ( ! [X115: $i] :
          ( ( b48_buttercup10107 @ X115 )
         => ~ ( b48_buttercup10111 @ X115 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[27]) ).

thf(116,plain,
    ( ( ! [X114: $i] :
          ( ( b48_buttercup10107 @ X114 )
         => ~ ( b48_buttercup10110 @ X114 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[28]) ).

thf(117,plain,
    ( ( ! [X113: $i] :
          ( ( b48_buttercup10107 @ X113 )
         => ~ ( b48_buttercup10109 @ X113 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[29]) ).

thf(118,plain,
    ( ( ! [X112: $i] :
          ( ( b48_buttercup10107 @ X112 )
         => ~ ( b48_buttercup10108 @ X112 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[30]) ).

thf(119,plain,
    ( ( ! [X111: $i] :
          ( ( b48_buttercup10107 @ X111 )
         => ~ ( b48_buttercup10104 @ X111 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[31]) ).

thf(120,plain,
    ( ( ! [X110: $i] :
          ( ( b48_buttercup10107 @ X110 )
         => ~ ( b48_buttercup10102 @ X110 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[32]) ).

thf(121,plain,
    ( ( ! [X109: $i] :
          ( ( b48_buttercup10104 @ X109 )
         => ~ ( b48_buttercup10111 @ X109 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[33]) ).

thf(122,plain,
    ( ( ! [X108: $i] :
          ( ( b48_buttercup10104 @ X108 )
         => ~ ( b48_buttercup10110 @ X108 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[34]) ).

thf(123,plain,
    ( ( ! [X107: $i] :
          ( ( b48_buttercup10104 @ X107 )
         => ~ ( b48_buttercup10109 @ X107 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[35]) ).

thf(124,plain,
    ( ( ! [X106: $i] :
          ( ( b48_buttercup10104 @ X106 )
         => ~ ( b48_buttercup10108 @ X106 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[36]) ).

thf(125,plain,
    ( ( ! [X105: $i] :
          ( ( b48_buttercup10104 @ X105 )
         => ~ ( b48_buttercup10107 @ X105 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[37]) ).

thf(126,plain,
    ( ( ! [X104: $i] :
          ( ( b48_buttercup10104 @ X104 )
         => ~ ( b48_buttercup10102 @ X104 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[38]) ).

thf(127,plain,
    ( ( ! [X103: $i] :
          ( ( b48_buttercup10102 @ X103 )
         => ~ ( b48_buttercup10111 @ X103 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[39]) ).

thf(128,plain,
    ( ( ! [X102: $i] :
          ( ( b48_buttercup10102 @ X102 )
         => ~ ( b48_buttercup10110 @ X102 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[40]) ).

thf(129,plain,
    ( ( ! [X101: $i] :
          ( ( b48_buttercup10102 @ X101 )
         => ~ ( b48_buttercup10109 @ X101 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[41]) ).

thf(130,plain,
    ( ( ! [X100: $i] :
          ( ( b48_buttercup10102 @ X100 )
         => ~ ( b48_buttercup10108 @ X100 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[42]) ).

thf(131,plain,
    ( ( ! [X99: $i] :
          ( ( b48_buttercup10102 @ X99 )
         => ~ ( b48_buttercup10107 @ X99 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[43]) ).

thf(132,plain,
    ( ( ! [X98: $i] :
          ( ( b48_buttercup10102 @ X98 )
         => ~ ( b48_buttercup10104 @ X98 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[44]) ).

thf(133,plain,
    ( ( ! [X97: $i] :
          ( ( k04_buttercup10619 @ X97 )
         => ~ ( k04_buttercup10100 @ X97 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[45]) ).

thf(134,plain,
    ( ( ! [X96: $i] :
          ( ( k04_buttercup10622 @ X96 )
         => ~ ( k04_buttercup10620 @ X96 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[46]) ).

thf(135,plain,
    ( ( ! [X95: $i] :
          ( ( k04_buttercup10620 @ X95 )
         => ~ ( k04_buttercup10622 @ X95 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[47]) ).

thf(136,plain,
    ( ( ! [X94: $i] :
          ( ( k04_buttercup10100 @ X94 )
         => ~ ( k04_buttercup10619 @ X94 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[48]) ).

thf(137,plain,
    ( ( ? [X93: $i] : ( b48_buttercup10109 @ X93 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[49]) ).

thf(138,plain,
    ( ( ? [X92: $i] : ( b48_buttercup10108 @ X92 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[50]) ).

thf(139,plain,
    ( ( ? [X91: $i] : ( b48_buttercup10107 @ X91 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[51]) ).

thf(140,plain,
    ( ( ? [X90: $i] : ( b48_buttercup10104 @ X90 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[52]) ).

thf(141,plain,
    ( ( ? [X89: $i] : ( b48_buttercup10102 @ X89 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[53]) ).

thf(142,plain,
    ( ( ? [X88: $i] : ( b48_buttercup10110 @ X88 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[54]) ).

thf(143,plain,
    ( ( ? [X87: $i] : ( b48_buttercup10111 @ X87 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[55]) ).

thf(144,plain,
    ( ( ? [X86: $i] : ( b48_buttercup10098 @ X86 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[56]) ).

thf(145,plain,
    ( ( ? [X85: $i] : ( k04_buttercup10622 @ X85 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[57]) ).

thf(146,plain,
    ( ( ? [X84: $i] : ( k04_buttercup10620 @ X84 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[58]) ).

thf(147,plain,
    ( ( ? [X83: $i] : ( k04_buttercup10619 @ X83 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[59]) ).

thf(148,plain,
    ( ( ? [X82: $i] : ( k04_buttercup10100 @ X82 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[60]) ).

thf(149,plain,
    ( ( ? [X74: $i,X75: $i,X76: $i] :
          ( ( k04_buttercup10100 @ X74 )
          & ( b48_buttercup10107 @ X74 )
          & ( k04_buttercup10100 @ X75 )
          & ~ ( b48_buttercup10107 @ X75 )
          & ~ ( k04_buttercup10100 @ X76 )
          & ( b48_buttercup10107 @ X76 ) )
      | ( ! [X77: $i] :
            ( ( b48_buttercup10107 @ X77 )
           => ( k04_buttercup10100 @ X77 ) )
        & ? [X78: $i] :
            ( ( k04_buttercup10100 @ X78 )
            & ~ ( b48_buttercup10107 @ X78 ) ) )
      | ( ! [X79: $i] :
            ( ( k04_buttercup10100 @ X79 )
           => ( b48_buttercup10107 @ X79 ) )
        & ? [X80: $i] :
            ( ( b48_buttercup10107 @ X80 )
            & ~ ( k04_buttercup10100 @ X80 ) ) )
      | ! [X81: $i] :
          ( ( k04_buttercup10100 @ X81 )
         => ~ ( b48_buttercup10107 @ X81 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[61]) ).

thf(150,plain,
    ( ( ! [X73: $i] :
          ( ( k04_buttercup10620 @ X73 )
        <=> ( b48_buttercup10107 @ X73 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[62]) ).

thf(151,plain,
    ( ( ! [X71: $i] :
          ( ( b48_buttercup10102 @ X71 )
         => ( k04_buttercup10622 @ X71 ) )
      & ? [X72: $i] :
          ( ( k04_buttercup10622 @ X72 )
          & ~ ( b48_buttercup10102 @ X72 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[63]) ).

thf(152,plain,
    ( ( ? [X63: $i,X64: $i,X65: $i] :
          ( ( k04_buttercup10100 @ X63 )
          & ( b48_buttercup10102 @ X63 )
          & ( k04_buttercup10100 @ X64 )
          & ~ ( b48_buttercup10102 @ X64 )
          & ~ ( k04_buttercup10100 @ X65 )
          & ( b48_buttercup10102 @ X65 ) )
      | ( ! [X66: $i] :
            ( ( b48_buttercup10102 @ X66 )
           => ( k04_buttercup10100 @ X66 ) )
        & ? [X67: $i] :
            ( ( k04_buttercup10100 @ X67 )
            & ~ ( b48_buttercup10102 @ X67 ) ) )
      | ( ! [X68: $i] :
            ( ( k04_buttercup10100 @ X68 )
           => ( b48_buttercup10102 @ X68 ) )
        & ? [X69: $i] :
            ( ( b48_buttercup10102 @ X69 )
            & ~ ( k04_buttercup10100 @ X69 ) ) )
      | ! [X70: $i] :
          ( ( k04_buttercup10100 @ X70 )
         => ~ ( b48_buttercup10102 @ X70 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[64]) ).

thf(153,plain,
    ( ( ! [X61: $i] :
          ( ( k04_buttercup10100 @ X61 )
         => ( b48_buttercup10098 @ X61 ) )
      & ? [X62: $i] :
          ( ( b48_buttercup10098 @ X62 )
          & ~ ( k04_buttercup10100 @ X62 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[65]) ).

thf(154,plain,
    ( ( ! [X59: $i] :
          ( ( b48_buttercup10108 @ X59 )
         => ( k04_buttercup10622 @ X59 ) )
      & ? [X60: $i] :
          ( ( k04_buttercup10622 @ X60 )
          & ~ ( b48_buttercup10108 @ X60 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[66]) ).

thf(155,plain,
    ( ( ! [X57: $i] :
          ( ( b48_buttercup10110 @ X57 )
         => ( k04_buttercup10622 @ X57 ) )
      & ? [X58: $i] :
          ( ( k04_buttercup10622 @ X58 )
          & ~ ( b48_buttercup10110 @ X58 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[67]) ).

thf(156,plain,
    ( ( ! [X55: $i] :
          ( ( b48_buttercup10104 @ X55 )
         => ( k04_buttercup10622 @ X55 ) )
      & ? [X56: $i] :
          ( ( k04_buttercup10622 @ X56 )
          & ~ ( b48_buttercup10104 @ X56 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[68]) ).

thf(157,plain,
    ( ( ? [X47: $i,X48: $i,X49: $i] :
          ( ( k04_buttercup10100 @ X47 )
          & ( b48_buttercup10110 @ X47 )
          & ( k04_buttercup10100 @ X48 )
          & ~ ( b48_buttercup10110 @ X48 )
          & ~ ( k04_buttercup10100 @ X49 )
          & ( b48_buttercup10110 @ X49 ) )
      | ( ! [X50: $i] :
            ( ( b48_buttercup10110 @ X50 )
           => ( k04_buttercup10100 @ X50 ) )
        & ? [X51: $i] :
            ( ( k04_buttercup10100 @ X51 )
            & ~ ( b48_buttercup10110 @ X51 ) ) )
      | ( ! [X52: $i] :
            ( ( k04_buttercup10100 @ X52 )
           => ( b48_buttercup10110 @ X52 ) )
        & ? [X53: $i] :
            ( ( b48_buttercup10110 @ X53 )
            & ~ ( k04_buttercup10100 @ X53 ) ) )
      | ! [X54: $i] :
          ( ( k04_buttercup10100 @ X54 )
         => ~ ( b48_buttercup10110 @ X54 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[69]) ).

thf(158,plain,
    ( ( ? [X39: $i,X40: $i,X41: $i] :
          ( ( k04_buttercup10100 @ X39 )
          & ( b48_buttercup10108 @ X39 )
          & ( k04_buttercup10100 @ X40 )
          & ~ ( b48_buttercup10108 @ X40 )
          & ~ ( k04_buttercup10100 @ X41 )
          & ( b48_buttercup10108 @ X41 ) )
      | ( ! [X42: $i] :
            ( ( b48_buttercup10108 @ X42 )
           => ( k04_buttercup10100 @ X42 ) )
        & ? [X43: $i] :
            ( ( k04_buttercup10100 @ X43 )
            & ~ ( b48_buttercup10108 @ X43 ) ) )
      | ( ! [X44: $i] :
            ( ( k04_buttercup10100 @ X44 )
           => ( b48_buttercup10108 @ X44 ) )
        & ? [X45: $i] :
            ( ( b48_buttercup10108 @ X45 )
            & ~ ( k04_buttercup10100 @ X45 ) ) )
      | ! [X46: $i] :
          ( ( k04_buttercup10100 @ X46 )
         => ~ ( b48_buttercup10108 @ X46 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[70]) ).

thf(159,plain,
    ( ( ! [X37: $i] :
          ( ( b48_buttercup10111 @ X37 )
         => ( k04_buttercup10100 @ X37 ) )
      & ? [X38: $i] :
          ( ( k04_buttercup10100 @ X38 )
          & ~ ( b48_buttercup10111 @ X38 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[71]) ).

thf(160,plain,
    ( ( ? [X29: $i,X30: $i,X31: $i] :
          ( ( k04_buttercup10619 @ X29 )
          & ( b48_buttercup10109 @ X29 )
          & ( k04_buttercup10619 @ X30 )
          & ~ ( b48_buttercup10109 @ X30 )
          & ~ ( k04_buttercup10619 @ X31 )
          & ( b48_buttercup10109 @ X31 ) )
      | ( ! [X32: $i] :
            ( ( b48_buttercup10109 @ X32 )
           => ( k04_buttercup10619 @ X32 ) )
        & ? [X33: $i] :
            ( ( k04_buttercup10619 @ X33 )
            & ~ ( b48_buttercup10109 @ X33 ) ) )
      | ( ! [X34: $i] :
            ( ( k04_buttercup10619 @ X34 )
           => ( b48_buttercup10109 @ X34 ) )
        & ? [X35: $i] :
            ( ( b48_buttercup10109 @ X35 )
            & ~ ( k04_buttercup10619 @ X35 ) ) )
      | ! [X36: $i] :
          ( ( k04_buttercup10619 @ X36 )
         => ~ ( b48_buttercup10109 @ X36 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[72]) ).

thf(161,plain,
    ( ( ! [X27: $i] :
          ( ( k04_buttercup10619 @ X27 )
         => ( b48_buttercup10098 @ X27 ) )
      & ? [X28: $i] :
          ( ( b48_buttercup10098 @ X28 )
          & ~ ( k04_buttercup10619 @ X28 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[73]) ).

thf(162,plain,
    ( ( ? [X19: $i,X20: $i,X21: $i] :
          ( ( k04_buttercup10619 @ X19 )
          & ( b48_buttercup10111 @ X19 )
          & ( k04_buttercup10619 @ X20 )
          & ~ ( b48_buttercup10111 @ X20 )
          & ~ ( k04_buttercup10619 @ X21 )
          & ( b48_buttercup10111 @ X21 ) )
      | ( ! [X22: $i] :
            ( ( b48_buttercup10111 @ X22 )
           => ( k04_buttercup10619 @ X22 ) )
        & ? [X23: $i] :
            ( ( k04_buttercup10619 @ X23 )
            & ~ ( b48_buttercup10111 @ X23 ) ) )
      | ( ! [X24: $i] :
            ( ( k04_buttercup10619 @ X24 )
           => ( b48_buttercup10111 @ X24 ) )
        & ? [X25: $i] :
            ( ( b48_buttercup10111 @ X25 )
            & ~ ( k04_buttercup10619 @ X25 ) ) )
      | ! [X26: $i] :
          ( ( k04_buttercup10619 @ X26 )
         => ~ ( b48_buttercup10111 @ X26 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[74]) ).

thf(163,plain,
    ( ( ! [X17: $i] :
          ( ( b48_buttercup10109 @ X17 )
         => ( k04_buttercup10100 @ X17 ) )
      & ? [X18: $i] :
          ( ( k04_buttercup10100 @ X18 )
          & ~ ( b48_buttercup10109 @ X18 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[75]) ).

thf(164,plain,
    ( ( ? [X9: $i,X10: $i,X11: $i] :
          ( ( k04_buttercup10100 @ X9 )
          & ( b48_buttercup10104 @ X9 )
          & ( k04_buttercup10100 @ X10 )
          & ~ ( b48_buttercup10104 @ X10 )
          & ~ ( k04_buttercup10100 @ X11 )
          & ( b48_buttercup10104 @ X11 ) )
      | ( ! [X12: $i] :
            ( ( b48_buttercup10104 @ X12 )
           => ( k04_buttercup10100 @ X12 ) )
        & ? [X13: $i] :
            ( ( k04_buttercup10100 @ X13 )
            & ~ ( b48_buttercup10104 @ X13 ) ) )
      | ( ! [X14: $i] :
            ( ( k04_buttercup10100 @ X14 )
           => ( b48_buttercup10104 @ X14 ) )
        & ? [X15: $i] :
            ( ( b48_buttercup10104 @ X15 )
            & ~ ( k04_buttercup10100 @ X15 ) ) )
      | ! [X16: $i] :
          ( ( k04_buttercup10100 @ X16 )
         => ~ ( b48_buttercup10104 @ X16 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[76]) ).

thf(165,plain,
    ( ( ! [X8: $i] :
          ( ( b48_buttercup10111 @ X8 )
         => ( b48_buttercup10098 @ X8 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[77]) ).

thf(166,plain,
    ( ( ! [X7: $i] :
          ( ( b48_buttercup10110 @ X7 )
         => ( b48_buttercup10098 @ X7 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[78]) ).

thf(167,plain,
    ( ( ! [X6: $i] :
          ( ( b48_buttercup10109 @ X6 )
         => ( b48_buttercup10098 @ X6 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[79]) ).

thf(168,plain,
    ( ( ! [X5: $i] :
          ( ( b48_buttercup10108 @ X5 )
         => ( b48_buttercup10098 @ X5 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[80]) ).

thf(169,plain,
    ( ( ! [X4: $i] :
          ( ( b48_buttercup10107 @ X4 )
         => ( b48_buttercup10098 @ X4 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[81]) ).

thf(170,plain,
    ( ( ! [X3: $i] :
          ( ( b48_buttercup10104 @ X3 )
         => ( b48_buttercup10098 @ X3 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[82]) ).

thf(171,plain,
    ( ( ! [X2: $i] :
          ( ( b48_buttercup10102 @ X2 )
         => ( b48_buttercup10098 @ X2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[83]) ).

thf(172,plain,
    ( ( ! [X1: $i] :
          ( ( k04_buttercup10622 @ X1 )
         => ( k04_buttercup10619 @ X1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[84]) ).

thf(173,plain,
    ( ( ! [X0: $i] :
          ( ( k04_buttercup10620 @ X0 )
         => ( k04_buttercup10619 @ X0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[85]) ).

thf(174,plain,
    ( ( ~ ( ( ! [X142: $i] :
                ( ( b48_buttercup10098 @ X142 )
               => ( k04_buttercup10100 @ X142 ) )
            & ? [X143: $i] :
                ( ( k04_buttercup10100 @ X143 )
                & ~ ( b48_buttercup10098 @ X143 ) ) )
          | ( ! [X144: $i] :
                ( ( k04_buttercup10100 @ X144 )
               => ( b48_buttercup10098 @ X144 ) )
            & ? [X145: $i] :
                ( ( b48_buttercup10098 @ X145 )
                & ~ ( k04_buttercup10100 @ X145 ) ) )
          | ? [X146: $i,X147: $i,X148: $i] :
              ( ( k04_buttercup10100 @ X146 )
              & ( b48_buttercup10098 @ X146 )
              & ( k04_buttercup10100 @ X147 )
              & ~ ( b48_buttercup10098 @ X147 )
              & ~ ( k04_buttercup10100 @ X148 )
              & ( b48_buttercup10098 @ X148 ) )
          | ! [X149: $i] :
              ( ( k04_buttercup10100 @ X149 )
             => ~ ( b48_buttercup10098 @ X149 ) ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[88]) ).

thf(175,plain,
    ( ( ( k04_buttercup10100 @ sK3_X149 )
      & ( b48_buttercup10098 @ sK3_X149 )
      & ! [X146: $i,X147: $i,X148: $i] :
          ( ~ ( b48_buttercup10098 @ X146 )
          | ~ ( k04_buttercup10100 @ X146 )
          | ~ ( k04_buttercup10100 @ X147 )
          | ( b48_buttercup10098 @ X147 )
          | ( k04_buttercup10100 @ X148 )
          | ~ ( b48_buttercup10098 @ X148 ) )
      & ( sK5_REN
        | ! [X143: $i] :
            ( ~ ( k04_buttercup10100 @ X143 )
            | ( b48_buttercup10098 @ X143 ) ) )
      & ( sK5_REN
       => ( ( b48_buttercup10098 @ sK2_X142 )
          & ~ ( k04_buttercup10100 @ sK2_X142 ) ) )
      & ( sK4_REN
        | ! [X145: $i] :
            ( ~ ( b48_buttercup10098 @ X145 )
            | ( k04_buttercup10100 @ X145 ) ) )
      & ( sK4_REN
       => ( ( k04_buttercup10100 @ sK1_X144 )
          & ~ ( b48_buttercup10098 @ sK1_X144 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[174]) ).

thf(176,plain,
    ( ( ! [X141: $i] :
          ( ~ ( b48_buttercup10098 @ X141 )
          | ( b48_buttercup10111 @ X141 )
          | ( b48_buttercup10110 @ X141 )
          | ( b48_buttercup10109 @ X141 )
          | ( b48_buttercup10108 @ X141 )
          | ( b48_buttercup10107 @ X141 )
          | ( b48_buttercup10102 @ X141 )
          | ( b48_buttercup10104 @ X141 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[89]) ).

thf(177,plain,
    ( ( ! [X140: $i] :
          ( ~ ( k04_buttercup10619 @ X140 )
          | ( k04_buttercup10620 @ X140 )
          | ( k04_buttercup10622 @ X140 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[90]) ).

thf(178,plain,
    ( ( ! [X139: $i] :
          ( ~ ( b48_buttercup10111 @ X139 )
          | ~ ( b48_buttercup10110 @ X139 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[91]) ).

thf(179,plain,
    ( ( ! [X138: $i] :
          ( ~ ( b48_buttercup10111 @ X138 )
          | ~ ( b48_buttercup10109 @ X138 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[92]) ).

thf(180,plain,
    ( ( ! [X137: $i] :
          ( ~ ( b48_buttercup10111 @ X137 )
          | ~ ( b48_buttercup10108 @ X137 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[93]) ).

thf(181,plain,
    ( ( ! [X136: $i] :
          ( ~ ( b48_buttercup10111 @ X136 )
          | ~ ( b48_buttercup10107 @ X136 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[94]) ).

thf(182,plain,
    ( ( ! [X135: $i] :
          ( ~ ( b48_buttercup10111 @ X135 )
          | ~ ( b48_buttercup10104 @ X135 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[95]) ).

thf(183,plain,
    ( ( ! [X134: $i] :
          ( ~ ( b48_buttercup10111 @ X134 )
          | ~ ( b48_buttercup10102 @ X134 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[96]) ).

thf(184,plain,
    ( ( ! [X133: $i] :
          ( ~ ( b48_buttercup10110 @ X133 )
          | ~ ( b48_buttercup10111 @ X133 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[97]) ).

thf(185,plain,
    ( ( ! [X132: $i] :
          ( ~ ( b48_buttercup10110 @ X132 )
          | ~ ( b48_buttercup10109 @ X132 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[98]) ).

thf(186,plain,
    ( ( ! [X131: $i] :
          ( ~ ( b48_buttercup10110 @ X131 )
          | ~ ( b48_buttercup10108 @ X131 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[99]) ).

thf(187,plain,
    ( ( ! [X130: $i] :
          ( ~ ( b48_buttercup10110 @ X130 )
          | ~ ( b48_buttercup10107 @ X130 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[100]) ).

thf(188,plain,
    ( ( ! [X129: $i] :
          ( ~ ( b48_buttercup10110 @ X129 )
          | ~ ( b48_buttercup10104 @ X129 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[101]) ).

thf(189,plain,
    ( ( ! [X128: $i] :
          ( ~ ( b48_buttercup10110 @ X128 )
          | ~ ( b48_buttercup10102 @ X128 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[102]) ).

thf(190,plain,
    ( ( ! [X127: $i] :
          ( ~ ( b48_buttercup10109 @ X127 )
          | ~ ( b48_buttercup10111 @ X127 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[103]) ).

thf(191,plain,
    ( ( ! [X126: $i] :
          ( ~ ( b48_buttercup10109 @ X126 )
          | ~ ( b48_buttercup10110 @ X126 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[104]) ).

thf(192,plain,
    ( ( ! [X125: $i] :
          ( ~ ( b48_buttercup10109 @ X125 )
          | ~ ( b48_buttercup10108 @ X125 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[105]) ).

thf(193,plain,
    ( ( ! [X124: $i] :
          ( ~ ( b48_buttercup10109 @ X124 )
          | ~ ( b48_buttercup10107 @ X124 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[106]) ).

thf(194,plain,
    ( ( ! [X123: $i] :
          ( ~ ( b48_buttercup10109 @ X123 )
          | ~ ( b48_buttercup10104 @ X123 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[107]) ).

thf(195,plain,
    ( ( ! [X122: $i] :
          ( ~ ( b48_buttercup10109 @ X122 )
          | ~ ( b48_buttercup10102 @ X122 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[108]) ).

thf(196,plain,
    ( ( ! [X121: $i] :
          ( ~ ( b48_buttercup10108 @ X121 )
          | ~ ( b48_buttercup10111 @ X121 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[109]) ).

thf(197,plain,
    ( ( ! [X120: $i] :
          ( ~ ( b48_buttercup10108 @ X120 )
          | ~ ( b48_buttercup10110 @ X120 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[110]) ).

thf(198,plain,
    ( ( ! [X119: $i] :
          ( ~ ( b48_buttercup10108 @ X119 )
          | ~ ( b48_buttercup10109 @ X119 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[111]) ).

thf(199,plain,
    ( ( ! [X118: $i] :
          ( ~ ( b48_buttercup10108 @ X118 )
          | ~ ( b48_buttercup10107 @ X118 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[112]) ).

thf(200,plain,
    ( ( ! [X117: $i] :
          ( ~ ( b48_buttercup10108 @ X117 )
          | ~ ( b48_buttercup10104 @ X117 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[113]) ).

thf(201,plain,
    ( ( ! [X116: $i] :
          ( ~ ( b48_buttercup10108 @ X116 )
          | ~ ( b48_buttercup10102 @ X116 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[114]) ).

thf(202,plain,
    ( ( ! [X115: $i] :
          ( ~ ( b48_buttercup10107 @ X115 )
          | ~ ( b48_buttercup10111 @ X115 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[115]) ).

thf(203,plain,
    ( ( ! [X114: $i] :
          ( ~ ( b48_buttercup10107 @ X114 )
          | ~ ( b48_buttercup10110 @ X114 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[116]) ).

thf(204,plain,
    ( ( ! [X113: $i] :
          ( ~ ( b48_buttercup10107 @ X113 )
          | ~ ( b48_buttercup10109 @ X113 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[117]) ).

thf(205,plain,
    ( ( ! [X112: $i] :
          ( ~ ( b48_buttercup10107 @ X112 )
          | ~ ( b48_buttercup10108 @ X112 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[118]) ).

thf(206,plain,
    ( ( ! [X111: $i] :
          ( ~ ( b48_buttercup10107 @ X111 )
          | ~ ( b48_buttercup10104 @ X111 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[119]) ).

thf(207,plain,
    ( ( ! [X110: $i] :
          ( ~ ( b48_buttercup10107 @ X110 )
          | ~ ( b48_buttercup10102 @ X110 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[120]) ).

thf(208,plain,
    ( ( ! [X109: $i] :
          ( ~ ( b48_buttercup10104 @ X109 )
          | ~ ( b48_buttercup10111 @ X109 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[121]) ).

thf(209,plain,
    ( ( ! [X108: $i] :
          ( ~ ( b48_buttercup10104 @ X108 )
          | ~ ( b48_buttercup10110 @ X108 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[122]) ).

thf(210,plain,
    ( ( ! [X107: $i] :
          ( ~ ( b48_buttercup10104 @ X107 )
          | ~ ( b48_buttercup10109 @ X107 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[123]) ).

thf(211,plain,
    ( ( ! [X106: $i] :
          ( ~ ( b48_buttercup10104 @ X106 )
          | ~ ( b48_buttercup10108 @ X106 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[124]) ).

thf(212,plain,
    ( ( ! [X105: $i] :
          ( ~ ( b48_buttercup10104 @ X105 )
          | ~ ( b48_buttercup10107 @ X105 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[125]) ).

thf(213,plain,
    ( ( ! [X104: $i] :
          ( ~ ( b48_buttercup10104 @ X104 )
          | ~ ( b48_buttercup10102 @ X104 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[126]) ).

thf(214,plain,
    ( ( ! [X103: $i] :
          ( ~ ( b48_buttercup10102 @ X103 )
          | ~ ( b48_buttercup10111 @ X103 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[127]) ).

thf(215,plain,
    ( ( ! [X102: $i] :
          ( ~ ( b48_buttercup10102 @ X102 )
          | ~ ( b48_buttercup10110 @ X102 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[128]) ).

thf(216,plain,
    ( ( ! [X101: $i] :
          ( ~ ( b48_buttercup10102 @ X101 )
          | ~ ( b48_buttercup10109 @ X101 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[129]) ).

thf(217,plain,
    ( ( ! [X100: $i] :
          ( ~ ( b48_buttercup10102 @ X100 )
          | ~ ( b48_buttercup10108 @ X100 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[130]) ).

thf(218,plain,
    ( ( ! [X99: $i] :
          ( ~ ( b48_buttercup10102 @ X99 )
          | ~ ( b48_buttercup10107 @ X99 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[131]) ).

thf(219,plain,
    ( ( ! [X98: $i] :
          ( ~ ( b48_buttercup10102 @ X98 )
          | ~ ( b48_buttercup10104 @ X98 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[132]) ).

thf(220,plain,
    ( ( ! [X97: $i] :
          ( ~ ( k04_buttercup10619 @ X97 )
          | ~ ( k04_buttercup10100 @ X97 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[133]) ).

thf(221,plain,
    ( ( ! [X96: $i] :
          ( ~ ( k04_buttercup10622 @ X96 )
          | ~ ( k04_buttercup10620 @ X96 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[134]) ).

thf(222,plain,
    ( ( ! [X95: $i] :
          ( ~ ( k04_buttercup10620 @ X95 )
          | ~ ( k04_buttercup10622 @ X95 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[135]) ).

thf(223,plain,
    ( ( ! [X94: $i] :
          ( ~ ( k04_buttercup10100 @ X94 )
          | ~ ( k04_buttercup10619 @ X94 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[136]) ).

thf(224,plain,
    ( ( b48_buttercup10109 @ sK6_X93 )
    = $true ),
    inference(extcnf_combined,[status(esa)],[137]) ).

thf(225,plain,
    ( ( b48_buttercup10108 @ sK7_X92 )
    = $true ),
    inference(extcnf_combined,[status(esa)],[138]) ).

thf(226,plain,
    ( ( b48_buttercup10107 @ sK8_X91 )
    = $true ),
    inference(extcnf_combined,[status(esa)],[139]) ).

thf(227,plain,
    ( ( b48_buttercup10104 @ sK9_X90 )
    = $true ),
    inference(extcnf_combined,[status(esa)],[140]) ).

thf(228,plain,
    ( ( b48_buttercup10102 @ sK10_X89 )
    = $true ),
    inference(extcnf_combined,[status(esa)],[141]) ).

thf(229,plain,
    ( ( b48_buttercup10110 @ sK11_X88 )
    = $true ),
    inference(extcnf_combined,[status(esa)],[142]) ).

thf(230,plain,
    ( ( b48_buttercup10111 @ sK12_X87 )
    = $true ),
    inference(extcnf_combined,[status(esa)],[143]) ).

thf(231,plain,
    ( ( b48_buttercup10098 @ sK13_X86 )
    = $true ),
    inference(extcnf_combined,[status(esa)],[144]) ).

thf(232,plain,
    ( ( k04_buttercup10622 @ sK14_X85 )
    = $true ),
    inference(extcnf_combined,[status(esa)],[145]) ).

thf(233,plain,
    ( ( k04_buttercup10620 @ sK15_X84 )
    = $true ),
    inference(extcnf_combined,[status(esa)],[146]) ).

thf(234,plain,
    ( ( k04_buttercup10619 @ sK16_X83 )
    = $true ),
    inference(extcnf_combined,[status(esa)],[147]) ).

thf(235,plain,
    ( ( k04_buttercup10100 @ sK17_X82 )
    = $true ),
    inference(extcnf_combined,[status(esa)],[148]) ).

thf(236,plain,
    ( ( ( ! [X81: $i] :
            ( ~ ( k04_buttercup10100 @ X81 )
            | ~ ( b48_buttercup10107 @ X81 ) )
        | ! [X79: $i] :
            ( ~ ( k04_buttercup10100 @ X79 )
            | ( b48_buttercup10107 @ X79 ) )
        | ! [X77: $i] :
            ( ~ ( b48_buttercup10107 @ X77 )
            | ( k04_buttercup10100 @ X77 ) )
        | ( ( b48_buttercup10107 @ sK31_X74 )
          & ( k04_buttercup10100 @ sK31_X74 )
          & ( k04_buttercup10100 @ sK32_SY159 )
          & ~ ( b48_buttercup10107 @ sK32_SY159 )
          & ~ ( k04_buttercup10100 @ sK33_SY161 )
          & ( b48_buttercup10107 @ sK33_SY161 ) ) )
      & ( ! [X81: $i] :
            ( ~ ( k04_buttercup10100 @ X81 )
            | ~ ( b48_buttercup10107 @ X81 ) )
        | ! [X79: $i] :
            ( ~ ( k04_buttercup10100 @ X79 )
            | ( b48_buttercup10107 @ X79 ) )
        | ( ( k04_buttercup10100 @ sK30_X78 )
          & ~ ( b48_buttercup10107 @ sK30_X78 ) )
        | ( ( b48_buttercup10107 @ sK27_X74 )
          & ( k04_buttercup10100 @ sK27_X74 )
          & ( k04_buttercup10100 @ sK28_SY156 )
          & ~ ( b48_buttercup10107 @ sK28_SY156 )
          & ~ ( k04_buttercup10100 @ sK29_SY158 )
          & ( b48_buttercup10107 @ sK29_SY158 ) ) )
      & ( ! [X81: $i] :
            ( ~ ( k04_buttercup10100 @ X81 )
            | ~ ( b48_buttercup10107 @ X81 ) )
        | ( ( b48_buttercup10107 @ sK26_X80 )
          & ~ ( k04_buttercup10100 @ sK26_X80 ) )
        | ! [X77: $i] :
            ( ~ ( b48_buttercup10107 @ X77 )
            | ( k04_buttercup10100 @ X77 ) )
        | ( ( b48_buttercup10107 @ sK23_X74 )
          & ( k04_buttercup10100 @ sK23_X74 )
          & ( k04_buttercup10100 @ sK24_SY153 )
          & ~ ( b48_buttercup10107 @ sK24_SY153 )
          & ~ ( k04_buttercup10100 @ sK25_SY155 )
          & ( b48_buttercup10107 @ sK25_SY155 ) ) )
      & ( ! [X81: $i] :
            ( ~ ( k04_buttercup10100 @ X81 )
            | ~ ( b48_buttercup10107 @ X81 ) )
        | ( ( b48_buttercup10107 @ sK22_X80 )
          & ~ ( k04_buttercup10100 @ sK22_X80 ) )
        | ( ( k04_buttercup10100 @ sK21_X78 )
          & ~ ( b48_buttercup10107 @ sK21_X78 ) )
        | ( ( b48_buttercup10107 @ sK18_X74 )
          & ( k04_buttercup10100 @ sK18_X74 )
          & ( k04_buttercup10100 @ sK19_SY150 )
          & ~ ( b48_buttercup10107 @ sK19_SY150 )
          & ~ ( k04_buttercup10100 @ sK20_SY152 )
          & ( b48_buttercup10107 @ sK20_SY152 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[149]) ).

thf(237,plain,
    ( ( ! [X73: $i] :
          ( ~ ( b48_buttercup10107 @ X73 )
          | ( k04_buttercup10620 @ X73 ) )
      & ! [X73: $i] :
          ( ~ ( k04_buttercup10620 @ X73 )
          | ( b48_buttercup10107 @ X73 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[150]) ).

thf(238,plain,
    ( ( ! [X71: $i] :
          ( ~ ( b48_buttercup10102 @ X71 )
          | ( k04_buttercup10622 @ X71 ) )
      & ( k04_buttercup10622 @ sK34_X72 )
      & ~ ( b48_buttercup10102 @ sK34_X72 ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[151]) ).

thf(239,plain,
    ( ( ( ! [X70: $i] :
            ( ~ ( k04_buttercup10100 @ X70 )
            | ~ ( b48_buttercup10102 @ X70 ) )
        | ! [X68: $i] :
            ( ~ ( k04_buttercup10100 @ X68 )
            | ( b48_buttercup10102 @ X68 ) )
        | ! [X66: $i] :
            ( ~ ( b48_buttercup10102 @ X66 )
            | ( k04_buttercup10100 @ X66 ) )
        | ( ( b48_buttercup10102 @ sK48_X63 )
          & ( k04_buttercup10100 @ sK48_X63 )
          & ( k04_buttercup10100 @ sK49_SY171 )
          & ~ ( b48_buttercup10102 @ sK49_SY171 )
          & ~ ( k04_buttercup10100 @ sK50_SY173 )
          & ( b48_buttercup10102 @ sK50_SY173 ) ) )
      & ( ! [X70: $i] :
            ( ~ ( k04_buttercup10100 @ X70 )
            | ~ ( b48_buttercup10102 @ X70 ) )
        | ! [X68: $i] :
            ( ~ ( k04_buttercup10100 @ X68 )
            | ( b48_buttercup10102 @ X68 ) )
        | ( ( k04_buttercup10100 @ sK47_X67 )
          & ~ ( b48_buttercup10102 @ sK47_X67 ) )
        | ( ( b48_buttercup10102 @ sK44_X63 )
          & ( k04_buttercup10100 @ sK44_X63 )
          & ( k04_buttercup10100 @ sK45_SY168 )
          & ~ ( b48_buttercup10102 @ sK45_SY168 )
          & ~ ( k04_buttercup10100 @ sK46_SY170 )
          & ( b48_buttercup10102 @ sK46_SY170 ) ) )
      & ( ! [X70: $i] :
            ( ~ ( k04_buttercup10100 @ X70 )
            | ~ ( b48_buttercup10102 @ X70 ) )
        | ( ( b48_buttercup10102 @ sK43_X69 )
          & ~ ( k04_buttercup10100 @ sK43_X69 ) )
        | ! [X66: $i] :
            ( ~ ( b48_buttercup10102 @ X66 )
            | ( k04_buttercup10100 @ X66 ) )
        | ( ( b48_buttercup10102 @ sK40_X63 )
          & ( k04_buttercup10100 @ sK40_X63 )
          & ( k04_buttercup10100 @ sK41_SY165 )
          & ~ ( b48_buttercup10102 @ sK41_SY165 )
          & ~ ( k04_buttercup10100 @ sK42_SY167 )
          & ( b48_buttercup10102 @ sK42_SY167 ) ) )
      & ( ! [X70: $i] :
            ( ~ ( k04_buttercup10100 @ X70 )
            | ~ ( b48_buttercup10102 @ X70 ) )
        | ( ( b48_buttercup10102 @ sK39_X69 )
          & ~ ( k04_buttercup10100 @ sK39_X69 ) )
        | ( ( k04_buttercup10100 @ sK38_X67 )
          & ~ ( b48_buttercup10102 @ sK38_X67 ) )
        | ( ( b48_buttercup10102 @ sK35_X63 )
          & ( k04_buttercup10100 @ sK35_X63 )
          & ( k04_buttercup10100 @ sK36_SY162 )
          & ~ ( b48_buttercup10102 @ sK36_SY162 )
          & ~ ( k04_buttercup10100 @ sK37_SY164 )
          & ( b48_buttercup10102 @ sK37_SY164 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[152]) ).

thf(240,plain,
    ( ( ! [X61: $i] :
          ( ~ ( k04_buttercup10100 @ X61 )
          | ( b48_buttercup10098 @ X61 ) )
      & ( b48_buttercup10098 @ sK51_X62 )
      & ~ ( k04_buttercup10100 @ sK51_X62 ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[153]) ).

thf(241,plain,
    ( ( ! [X59: $i] :
          ( ~ ( b48_buttercup10108 @ X59 )
          | ( k04_buttercup10622 @ X59 ) )
      & ( k04_buttercup10622 @ sK52_X60 )
      & ~ ( b48_buttercup10108 @ sK52_X60 ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[154]) ).

thf(242,plain,
    ( ( ! [X57: $i] :
          ( ~ ( b48_buttercup10110 @ X57 )
          | ( k04_buttercup10622 @ X57 ) )
      & ( k04_buttercup10622 @ sK53_X58 )
      & ~ ( b48_buttercup10110 @ sK53_X58 ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[155]) ).

thf(243,plain,
    ( ( ! [X55: $i] :
          ( ~ ( b48_buttercup10104 @ X55 )
          | ( k04_buttercup10622 @ X55 ) )
      & ( k04_buttercup10622 @ sK54_X56 )
      & ~ ( b48_buttercup10104 @ sK54_X56 ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[156]) ).

thf(244,plain,
    ( ( ( ! [X54: $i] :
            ( ~ ( k04_buttercup10100 @ X54 )
            | ~ ( b48_buttercup10110 @ X54 ) )
        | ! [X52: $i] :
            ( ~ ( k04_buttercup10100 @ X52 )
            | ( b48_buttercup10110 @ X52 ) )
        | ! [X50: $i] :
            ( ~ ( b48_buttercup10110 @ X50 )
            | ( k04_buttercup10100 @ X50 ) )
        | ( ( b48_buttercup10110 @ sK68_X47 )
          & ( k04_buttercup10100 @ sK68_X47 )
          & ( k04_buttercup10100 @ sK69_SY183 )
          & ~ ( b48_buttercup10110 @ sK69_SY183 )
          & ~ ( k04_buttercup10100 @ sK70_SY185 )
          & ( b48_buttercup10110 @ sK70_SY185 ) ) )
      & ( ! [X54: $i] :
            ( ~ ( k04_buttercup10100 @ X54 )
            | ~ ( b48_buttercup10110 @ X54 ) )
        | ! [X52: $i] :
            ( ~ ( k04_buttercup10100 @ X52 )
            | ( b48_buttercup10110 @ X52 ) )
        | ( ( k04_buttercup10100 @ sK67_X51 )
          & ~ ( b48_buttercup10110 @ sK67_X51 ) )
        | ( ( b48_buttercup10110 @ sK64_X47 )
          & ( k04_buttercup10100 @ sK64_X47 )
          & ( k04_buttercup10100 @ sK65_SY180 )
          & ~ ( b48_buttercup10110 @ sK65_SY180 )
          & ~ ( k04_buttercup10100 @ sK66_SY182 )
          & ( b48_buttercup10110 @ sK66_SY182 ) ) )
      & ( ! [X54: $i] :
            ( ~ ( k04_buttercup10100 @ X54 )
            | ~ ( b48_buttercup10110 @ X54 ) )
        | ( ( b48_buttercup10110 @ sK63_X53 )
          & ~ ( k04_buttercup10100 @ sK63_X53 ) )
        | ! [X50: $i] :
            ( ~ ( b48_buttercup10110 @ X50 )
            | ( k04_buttercup10100 @ X50 ) )
        | ( ( b48_buttercup10110 @ sK60_X47 )
          & ( k04_buttercup10100 @ sK60_X47 )
          & ( k04_buttercup10100 @ sK61_SY177 )
          & ~ ( b48_buttercup10110 @ sK61_SY177 )
          & ~ ( k04_buttercup10100 @ sK62_SY179 )
          & ( b48_buttercup10110 @ sK62_SY179 ) ) )
      & ( ! [X54: $i] :
            ( ~ ( k04_buttercup10100 @ X54 )
            | ~ ( b48_buttercup10110 @ X54 ) )
        | ( ( b48_buttercup10110 @ sK59_X53 )
          & ~ ( k04_buttercup10100 @ sK59_X53 ) )
        | ( ( k04_buttercup10100 @ sK58_X51 )
          & ~ ( b48_buttercup10110 @ sK58_X51 ) )
        | ( ( b48_buttercup10110 @ sK55_X47 )
          & ( k04_buttercup10100 @ sK55_X47 )
          & ( k04_buttercup10100 @ sK56_SY174 )
          & ~ ( b48_buttercup10110 @ sK56_SY174 )
          & ~ ( k04_buttercup10100 @ sK57_SY176 )
          & ( b48_buttercup10110 @ sK57_SY176 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[157]) ).

thf(245,plain,
    ( ( ( ! [X46: $i] :
            ( ~ ( k04_buttercup10100 @ X46 )
            | ~ ( b48_buttercup10108 @ X46 ) )
        | ! [X44: $i] :
            ( ~ ( k04_buttercup10100 @ X44 )
            | ( b48_buttercup10108 @ X44 ) )
        | ! [X42: $i] :
            ( ~ ( b48_buttercup10108 @ X42 )
            | ( k04_buttercup10100 @ X42 ) )
        | ( ( b48_buttercup10108 @ sK84_X39 )
          & ( k04_buttercup10100 @ sK84_X39 )
          & ( k04_buttercup10100 @ sK85_SY195 )
          & ~ ( b48_buttercup10108 @ sK85_SY195 )
          & ~ ( k04_buttercup10100 @ sK86_SY197 )
          & ( b48_buttercup10108 @ sK86_SY197 ) ) )
      & ( ! [X46: $i] :
            ( ~ ( k04_buttercup10100 @ X46 )
            | ~ ( b48_buttercup10108 @ X46 ) )
        | ! [X44: $i] :
            ( ~ ( k04_buttercup10100 @ X44 )
            | ( b48_buttercup10108 @ X44 ) )
        | ( ( k04_buttercup10100 @ sK83_X43 )
          & ~ ( b48_buttercup10108 @ sK83_X43 ) )
        | ( ( b48_buttercup10108 @ sK80_X39 )
          & ( k04_buttercup10100 @ sK80_X39 )
          & ( k04_buttercup10100 @ sK81_SY192 )
          & ~ ( b48_buttercup10108 @ sK81_SY192 )
          & ~ ( k04_buttercup10100 @ sK82_SY194 )
          & ( b48_buttercup10108 @ sK82_SY194 ) ) )
      & ( ! [X46: $i] :
            ( ~ ( k04_buttercup10100 @ X46 )
            | ~ ( b48_buttercup10108 @ X46 ) )
        | ( ( b48_buttercup10108 @ sK79_X45 )
          & ~ ( k04_buttercup10100 @ sK79_X45 ) )
        | ! [X42: $i] :
            ( ~ ( b48_buttercup10108 @ X42 )
            | ( k04_buttercup10100 @ X42 ) )
        | ( ( b48_buttercup10108 @ sK76_X39 )
          & ( k04_buttercup10100 @ sK76_X39 )
          & ( k04_buttercup10100 @ sK77_SY189 )
          & ~ ( b48_buttercup10108 @ sK77_SY189 )
          & ~ ( k04_buttercup10100 @ sK78_SY191 )
          & ( b48_buttercup10108 @ sK78_SY191 ) ) )
      & ( ! [X46: $i] :
            ( ~ ( k04_buttercup10100 @ X46 )
            | ~ ( b48_buttercup10108 @ X46 ) )
        | ( ( b48_buttercup10108 @ sK75_X45 )
          & ~ ( k04_buttercup10100 @ sK75_X45 ) )
        | ( ( k04_buttercup10100 @ sK74_X43 )
          & ~ ( b48_buttercup10108 @ sK74_X43 ) )
        | ( ( b48_buttercup10108 @ sK71_X39 )
          & ( k04_buttercup10100 @ sK71_X39 )
          & ( k04_buttercup10100 @ sK72_SY186 )
          & ~ ( b48_buttercup10108 @ sK72_SY186 )
          & ~ ( k04_buttercup10100 @ sK73_SY188 )
          & ( b48_buttercup10108 @ sK73_SY188 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[158]) ).

thf(246,plain,
    ( ( ! [X37: $i] :
          ( ~ ( b48_buttercup10111 @ X37 )
          | ( k04_buttercup10100 @ X37 ) )
      & ( k04_buttercup10100 @ sK87_X38 )
      & ~ ( b48_buttercup10111 @ sK87_X38 ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[159]) ).

thf(247,plain,
    ( ( ( ! [X36: $i] :
            ( ~ ( k04_buttercup10619 @ X36 )
            | ~ ( b48_buttercup10109 @ X36 ) )
        | ! [X34: $i] :
            ( ~ ( k04_buttercup10619 @ X34 )
            | ( b48_buttercup10109 @ X34 ) )
        | ! [X32: $i] :
            ( ~ ( b48_buttercup10109 @ X32 )
            | ( k04_buttercup10619 @ X32 ) )
        | ( ( b48_buttercup10109 @ sK101_X29 )
          & ( k04_buttercup10619 @ sK101_X29 )
          & ( k04_buttercup10619 @ sK102_SY207 )
          & ~ ( b48_buttercup10109 @ sK102_SY207 )
          & ~ ( k04_buttercup10619 @ sK103_SY209 )
          & ( b48_buttercup10109 @ sK103_SY209 ) ) )
      & ( ! [X36: $i] :
            ( ~ ( k04_buttercup10619 @ X36 )
            | ~ ( b48_buttercup10109 @ X36 ) )
        | ! [X34: $i] :
            ( ~ ( k04_buttercup10619 @ X34 )
            | ( b48_buttercup10109 @ X34 ) )
        | ( ( k04_buttercup10619 @ sK100_X33 )
          & ~ ( b48_buttercup10109 @ sK100_X33 ) )
        | ( ( b48_buttercup10109 @ sK97_X29 )
          & ( k04_buttercup10619 @ sK97_X29 )
          & ( k04_buttercup10619 @ sK98_SY204 )
          & ~ ( b48_buttercup10109 @ sK98_SY204 )
          & ~ ( k04_buttercup10619 @ sK99_SY206 )
          & ( b48_buttercup10109 @ sK99_SY206 ) ) )
      & ( ! [X36: $i] :
            ( ~ ( k04_buttercup10619 @ X36 )
            | ~ ( b48_buttercup10109 @ X36 ) )
        | ( ( b48_buttercup10109 @ sK96_X35 )
          & ~ ( k04_buttercup10619 @ sK96_X35 ) )
        | ! [X32: $i] :
            ( ~ ( b48_buttercup10109 @ X32 )
            | ( k04_buttercup10619 @ X32 ) )
        | ( ( b48_buttercup10109 @ sK93_X29 )
          & ( k04_buttercup10619 @ sK93_X29 )
          & ( k04_buttercup10619 @ sK94_SY201 )
          & ~ ( b48_buttercup10109 @ sK94_SY201 )
          & ~ ( k04_buttercup10619 @ sK95_SY203 )
          & ( b48_buttercup10109 @ sK95_SY203 ) ) )
      & ( ! [X36: $i] :
            ( ~ ( k04_buttercup10619 @ X36 )
            | ~ ( b48_buttercup10109 @ X36 ) )
        | ( ( b48_buttercup10109 @ sK92_X35 )
          & ~ ( k04_buttercup10619 @ sK92_X35 ) )
        | ( ( k04_buttercup10619 @ sK91_X33 )
          & ~ ( b48_buttercup10109 @ sK91_X33 ) )
        | ( ( b48_buttercup10109 @ sK88_X29 )
          & ( k04_buttercup10619 @ sK88_X29 )
          & ( k04_buttercup10619 @ sK89_SY198 )
          & ~ ( b48_buttercup10109 @ sK89_SY198 )
          & ~ ( k04_buttercup10619 @ sK90_SY200 )
          & ( b48_buttercup10109 @ sK90_SY200 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[160]) ).

thf(248,plain,
    ( ( ! [X27: $i] :
          ( ~ ( k04_buttercup10619 @ X27 )
          | ( b48_buttercup10098 @ X27 ) )
      & ( b48_buttercup10098 @ sK104_X28 )
      & ~ ( k04_buttercup10619 @ sK104_X28 ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[161]) ).

thf(249,plain,
    ( ( ( ! [X26: $i] :
            ( ~ ( k04_buttercup10619 @ X26 )
            | ~ ( b48_buttercup10111 @ X26 ) )
        | ! [X24: $i] :
            ( ~ ( k04_buttercup10619 @ X24 )
            | ( b48_buttercup10111 @ X24 ) )
        | ! [X22: $i] :
            ( ~ ( b48_buttercup10111 @ X22 )
            | ( k04_buttercup10619 @ X22 ) )
        | ( ( b48_buttercup10111 @ sK118_X19 )
          & ( k04_buttercup10619 @ sK118_X19 )
          & ( k04_buttercup10619 @ sK119_SY219 )
          & ~ ( b48_buttercup10111 @ sK119_SY219 )
          & ~ ( k04_buttercup10619 @ sK120_SY221 )
          & ( b48_buttercup10111 @ sK120_SY221 ) ) )
      & ( ! [X26: $i] :
            ( ~ ( k04_buttercup10619 @ X26 )
            | ~ ( b48_buttercup10111 @ X26 ) )
        | ! [X24: $i] :
            ( ~ ( k04_buttercup10619 @ X24 )
            | ( b48_buttercup10111 @ X24 ) )
        | ( ( k04_buttercup10619 @ sK117_X23 )
          & ~ ( b48_buttercup10111 @ sK117_X23 ) )
        | ( ( b48_buttercup10111 @ sK114_X19 )
          & ( k04_buttercup10619 @ sK114_X19 )
          & ( k04_buttercup10619 @ sK115_SY216 )
          & ~ ( b48_buttercup10111 @ sK115_SY216 )
          & ~ ( k04_buttercup10619 @ sK116_SY218 )
          & ( b48_buttercup10111 @ sK116_SY218 ) ) )
      & ( ! [X26: $i] :
            ( ~ ( k04_buttercup10619 @ X26 )
            | ~ ( b48_buttercup10111 @ X26 ) )
        | ( ( b48_buttercup10111 @ sK113_X25 )
          & ~ ( k04_buttercup10619 @ sK113_X25 ) )
        | ! [X22: $i] :
            ( ~ ( b48_buttercup10111 @ X22 )
            | ( k04_buttercup10619 @ X22 ) )
        | ( ( b48_buttercup10111 @ sK110_X19 )
          & ( k04_buttercup10619 @ sK110_X19 )
          & ( k04_buttercup10619 @ sK111_SY213 )
          & ~ ( b48_buttercup10111 @ sK111_SY213 )
          & ~ ( k04_buttercup10619 @ sK112_SY215 )
          & ( b48_buttercup10111 @ sK112_SY215 ) ) )
      & ( ! [X26: $i] :
            ( ~ ( k04_buttercup10619 @ X26 )
            | ~ ( b48_buttercup10111 @ X26 ) )
        | ( ( b48_buttercup10111 @ sK109_X25 )
          & ~ ( k04_buttercup10619 @ sK109_X25 ) )
        | ( ( k04_buttercup10619 @ sK108_X23 )
          & ~ ( b48_buttercup10111 @ sK108_X23 ) )
        | ( ( b48_buttercup10111 @ sK105_X19 )
          & ( k04_buttercup10619 @ sK105_X19 )
          & ( k04_buttercup10619 @ sK106_SY210 )
          & ~ ( b48_buttercup10111 @ sK106_SY210 )
          & ~ ( k04_buttercup10619 @ sK107_SY212 )
          & ( b48_buttercup10111 @ sK107_SY212 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[162]) ).

thf(250,plain,
    ( ( ! [X17: $i] :
          ( ~ ( b48_buttercup10109 @ X17 )
          | ( k04_buttercup10100 @ X17 ) )
      & ( k04_buttercup10100 @ sK121_X18 )
      & ~ ( b48_buttercup10109 @ sK121_X18 ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[163]) ).

thf(251,plain,
    ( ( ( ! [X16: $i] :
            ( ~ ( k04_buttercup10100 @ X16 )
            | ~ ( b48_buttercup10104 @ X16 ) )
        | ! [X14: $i] :
            ( ~ ( k04_buttercup10100 @ X14 )
            | ( b48_buttercup10104 @ X14 ) )
        | ! [X12: $i] :
            ( ~ ( b48_buttercup10104 @ X12 )
            | ( k04_buttercup10100 @ X12 ) )
        | ( ( b48_buttercup10104 @ sK135_X9 )
          & ( k04_buttercup10100 @ sK135_X9 )
          & ( k04_buttercup10100 @ sK136_SY231 )
          & ~ ( b48_buttercup10104 @ sK136_SY231 )
          & ~ ( k04_buttercup10100 @ sK137_SY233 )
          & ( b48_buttercup10104 @ sK137_SY233 ) ) )
      & ( ! [X16: $i] :
            ( ~ ( k04_buttercup10100 @ X16 )
            | ~ ( b48_buttercup10104 @ X16 ) )
        | ! [X14: $i] :
            ( ~ ( k04_buttercup10100 @ X14 )
            | ( b48_buttercup10104 @ X14 ) )
        | ( ( k04_buttercup10100 @ sK134_X13 )
          & ~ ( b48_buttercup10104 @ sK134_X13 ) )
        | ( ( b48_buttercup10104 @ sK131_X9 )
          & ( k04_buttercup10100 @ sK131_X9 )
          & ( k04_buttercup10100 @ sK132_SY228 )
          & ~ ( b48_buttercup10104 @ sK132_SY228 )
          & ~ ( k04_buttercup10100 @ sK133_SY230 )
          & ( b48_buttercup10104 @ sK133_SY230 ) ) )
      & ( ! [X16: $i] :
            ( ~ ( k04_buttercup10100 @ X16 )
            | ~ ( b48_buttercup10104 @ X16 ) )
        | ( ( b48_buttercup10104 @ sK130_X15 )
          & ~ ( k04_buttercup10100 @ sK130_X15 ) )
        | ! [X12: $i] :
            ( ~ ( b48_buttercup10104 @ X12 )
            | ( k04_buttercup10100 @ X12 ) )
        | ( ( b48_buttercup10104 @ sK127_X9 )
          & ( k04_buttercup10100 @ sK127_X9 )
          & ( k04_buttercup10100 @ sK128_SY225 )
          & ~ ( b48_buttercup10104 @ sK128_SY225 )
          & ~ ( k04_buttercup10100 @ sK129_SY227 )
          & ( b48_buttercup10104 @ sK129_SY227 ) ) )
      & ( ! [X16: $i] :
            ( ~ ( k04_buttercup10100 @ X16 )
            | ~ ( b48_buttercup10104 @ X16 ) )
        | ( ( b48_buttercup10104 @ sK126_X15 )
          & ~ ( k04_buttercup10100 @ sK126_X15 ) )
        | ( ( k04_buttercup10100 @ sK125_X13 )
          & ~ ( b48_buttercup10104 @ sK125_X13 ) )
        | ( ( b48_buttercup10104 @ sK122_X9 )
          & ( k04_buttercup10100 @ sK122_X9 )
          & ( k04_buttercup10100 @ sK123_SY222 )
          & ~ ( b48_buttercup10104 @ sK123_SY222 )
          & ~ ( k04_buttercup10100 @ sK124_SY224 )
          & ( b48_buttercup10104 @ sK124_SY224 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[164]) ).

thf(252,plain,
    ( ( ! [X8: $i] :
          ( ~ ( b48_buttercup10111 @ X8 )
          | ( b48_buttercup10098 @ X8 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[165]) ).

thf(253,plain,
    ( ( ! [X7: $i] :
          ( ~ ( b48_buttercup10110 @ X7 )
          | ( b48_buttercup10098 @ X7 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[166]) ).

thf(254,plain,
    ( ( ! [X6: $i] :
          ( ~ ( b48_buttercup10109 @ X6 )
          | ( b48_buttercup10098 @ X6 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[167]) ).

thf(255,plain,
    ( ( ! [X5: $i] :
          ( ~ ( b48_buttercup10108 @ X5 )
          | ( b48_buttercup10098 @ X5 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[168]) ).

thf(256,plain,
    ( ( ! [X4: $i] :
          ( ~ ( b48_buttercup10107 @ X4 )
          | ( b48_buttercup10098 @ X4 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[169]) ).

thf(257,plain,
    ( ( ! [X3: $i] :
          ( ~ ( b48_buttercup10104 @ X3 )
          | ( b48_buttercup10098 @ X3 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[170]) ).

thf(258,plain,
    ( ( ! [X2: $i] :
          ( ~ ( b48_buttercup10102 @ X2 )
          | ( b48_buttercup10098 @ X2 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[171]) ).

thf(259,plain,
    ( ( ! [X1: $i] :
          ( ~ ( k04_buttercup10622 @ X1 )
          | ( k04_buttercup10619 @ X1 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[172]) ).

thf(260,plain,
    ( ( ! [X0: $i] :
          ( ~ ( k04_buttercup10620 @ X0 )
          | ( k04_buttercup10619 @ X0 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[173]) ).

thf(261,plain,
    ( ( ! [X0: $i] :
          ( ~ ( k04_buttercup10620 @ X0 )
          | ( k04_buttercup10619 @ X0 ) ) )
    = $true ),
    inference(copy,[status(thm)],[260]) ).

thf(262,plain,
    ( ( ! [X1: $i] :
          ( ~ ( k04_buttercup10622 @ X1 )
          | ( k04_buttercup10619 @ X1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[259]) ).

thf(263,plain,
    ( ( ! [X2: $i] :
          ( ~ ( b48_buttercup10102 @ X2 )
          | ( b48_buttercup10098 @ X2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[258]) ).

thf(264,plain,
    ( ( ! [X3: $i] :
          ( ~ ( b48_buttercup10104 @ X3 )
          | ( b48_buttercup10098 @ X3 ) ) )
    = $true ),
    inference(copy,[status(thm)],[257]) ).

thf(265,plain,
    ( ( ! [X4: $i] :
          ( ~ ( b48_buttercup10107 @ X4 )
          | ( b48_buttercup10098 @ X4 ) ) )
    = $true ),
    inference(copy,[status(thm)],[256]) ).

thf(266,plain,
    ( ( ! [X5: $i] :
          ( ~ ( b48_buttercup10108 @ X5 )
          | ( b48_buttercup10098 @ X5 ) ) )
    = $true ),
    inference(copy,[status(thm)],[255]) ).

thf(267,plain,
    ( ( ! [X6: $i] :
          ( ~ ( b48_buttercup10109 @ X6 )
          | ( b48_buttercup10098 @ X6 ) ) )
    = $true ),
    inference(copy,[status(thm)],[254]) ).

thf(268,plain,
    ( ( ! [X7: $i] :
          ( ~ ( b48_buttercup10110 @ X7 )
          | ( b48_buttercup10098 @ X7 ) ) )
    = $true ),
    inference(copy,[status(thm)],[253]) ).

thf(269,plain,
    ( ( ! [X8: $i] :
          ( ~ ( b48_buttercup10111 @ X8 )
          | ( b48_buttercup10098 @ X8 ) ) )
    = $true ),
    inference(copy,[status(thm)],[252]) ).

thf(270,plain,
    ( ( ( ! [X16: $i] :
            ( ~ ( k04_buttercup10100 @ X16 )
            | ~ ( b48_buttercup10104 @ X16 ) )
        | ! [X14: $i] :
            ( ~ ( k04_buttercup10100 @ X14 )
            | ( b48_buttercup10104 @ X14 ) )
        | ! [X12: $i] :
            ( ~ ( b48_buttercup10104 @ X12 )
            | ( k04_buttercup10100 @ X12 ) )
        | ( ( b48_buttercup10104 @ sK135_X9 )
          & ( k04_buttercup10100 @ sK135_X9 )
          & ( k04_buttercup10100 @ sK136_SY231 )
          & ~ ( b48_buttercup10104 @ sK136_SY231 )
          & ~ ( k04_buttercup10100 @ sK137_SY233 )
          & ( b48_buttercup10104 @ sK137_SY233 ) ) )
      & ( ! [X16: $i] :
            ( ~ ( k04_buttercup10100 @ X16 )
            | ~ ( b48_buttercup10104 @ X16 ) )
        | ! [X14: $i] :
            ( ~ ( k04_buttercup10100 @ X14 )
            | ( b48_buttercup10104 @ X14 ) )
        | ( ( k04_buttercup10100 @ sK134_X13 )
          & ~ ( b48_buttercup10104 @ sK134_X13 ) )
        | ( ( b48_buttercup10104 @ sK131_X9 )
          & ( k04_buttercup10100 @ sK131_X9 )
          & ( k04_buttercup10100 @ sK132_SY228 )
          & ~ ( b48_buttercup10104 @ sK132_SY228 )
          & ~ ( k04_buttercup10100 @ sK133_SY230 )
          & ( b48_buttercup10104 @ sK133_SY230 ) ) )
      & ( ! [X16: $i] :
            ( ~ ( k04_buttercup10100 @ X16 )
            | ~ ( b48_buttercup10104 @ X16 ) )
        | ( ( b48_buttercup10104 @ sK130_X15 )
          & ~ ( k04_buttercup10100 @ sK130_X15 ) )
        | ! [X12: $i] :
            ( ~ ( b48_buttercup10104 @ X12 )
            | ( k04_buttercup10100 @ X12 ) )
        | ( ( b48_buttercup10104 @ sK127_X9 )
          & ( k04_buttercup10100 @ sK127_X9 )
          & ( k04_buttercup10100 @ sK128_SY225 )
          & ~ ( b48_buttercup10104 @ sK128_SY225 )
          & ~ ( k04_buttercup10100 @ sK129_SY227 )
          & ( b48_buttercup10104 @ sK129_SY227 ) ) )
      & ( ! [X16: $i] :
            ( ~ ( k04_buttercup10100 @ X16 )
            | ~ ( b48_buttercup10104 @ X16 ) )
        | ( ( b48_buttercup10104 @ sK126_X15 )
          & ~ ( k04_buttercup10100 @ sK126_X15 ) )
        | ( ( k04_buttercup10100 @ sK125_X13 )
          & ~ ( b48_buttercup10104 @ sK125_X13 ) )
        | ( ( b48_buttercup10104 @ sK122_X9 )
          & ( k04_buttercup10100 @ sK122_X9 )
          & ( k04_buttercup10100 @ sK123_SY222 )
          & ~ ( b48_buttercup10104 @ sK123_SY222 )
          & ~ ( k04_buttercup10100 @ sK124_SY224 )
          & ( b48_buttercup10104 @ sK124_SY224 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[251]) ).

thf(271,plain,
    ( ( ! [X17: $i] :
          ( ~ ( b48_buttercup10109 @ X17 )
          | ( k04_buttercup10100 @ X17 ) )
      & ( k04_buttercup10100 @ sK121_X18 )
      & ~ ( b48_buttercup10109 @ sK121_X18 ) )
    = $true ),
    inference(copy,[status(thm)],[250]) ).

thf(272,plain,
    ( ( ( ! [X26: $i] :
            ( ~ ( k04_buttercup10619 @ X26 )
            | ~ ( b48_buttercup10111 @ X26 ) )
        | ! [X24: $i] :
            ( ~ ( k04_buttercup10619 @ X24 )
            | ( b48_buttercup10111 @ X24 ) )
        | ! [X22: $i] :
            ( ~ ( b48_buttercup10111 @ X22 )
            | ( k04_buttercup10619 @ X22 ) )
        | ( ( b48_buttercup10111 @ sK118_X19 )
          & ( k04_buttercup10619 @ sK118_X19 )
          & ( k04_buttercup10619 @ sK119_SY219 )
          & ~ ( b48_buttercup10111 @ sK119_SY219 )
          & ~ ( k04_buttercup10619 @ sK120_SY221 )
          & ( b48_buttercup10111 @ sK120_SY221 ) ) )
      & ( ! [X26: $i] :
            ( ~ ( k04_buttercup10619 @ X26 )
            | ~ ( b48_buttercup10111 @ X26 ) )
        | ! [X24: $i] :
            ( ~ ( k04_buttercup10619 @ X24 )
            | ( b48_buttercup10111 @ X24 ) )
        | ( ( k04_buttercup10619 @ sK117_X23 )
          & ~ ( b48_buttercup10111 @ sK117_X23 ) )
        | ( ( b48_buttercup10111 @ sK114_X19 )
          & ( k04_buttercup10619 @ sK114_X19 )
          & ( k04_buttercup10619 @ sK115_SY216 )
          & ~ ( b48_buttercup10111 @ sK115_SY216 )
          & ~ ( k04_buttercup10619 @ sK116_SY218 )
          & ( b48_buttercup10111 @ sK116_SY218 ) ) )
      & ( ! [X26: $i] :
            ( ~ ( k04_buttercup10619 @ X26 )
            | ~ ( b48_buttercup10111 @ X26 ) )
        | ( ( b48_buttercup10111 @ sK113_X25 )
          & ~ ( k04_buttercup10619 @ sK113_X25 ) )
        | ! [X22: $i] :
            ( ~ ( b48_buttercup10111 @ X22 )
            | ( k04_buttercup10619 @ X22 ) )
        | ( ( b48_buttercup10111 @ sK110_X19 )
          & ( k04_buttercup10619 @ sK110_X19 )
          & ( k04_buttercup10619 @ sK111_SY213 )
          & ~ ( b48_buttercup10111 @ sK111_SY213 )
          & ~ ( k04_buttercup10619 @ sK112_SY215 )
          & ( b48_buttercup10111 @ sK112_SY215 ) ) )
      & ( ! [X26: $i] :
            ( ~ ( k04_buttercup10619 @ X26 )
            | ~ ( b48_buttercup10111 @ X26 ) )
        | ( ( b48_buttercup10111 @ sK109_X25 )
          & ~ ( k04_buttercup10619 @ sK109_X25 ) )
        | ( ( k04_buttercup10619 @ sK108_X23 )
          & ~ ( b48_buttercup10111 @ sK108_X23 ) )
        | ( ( b48_buttercup10111 @ sK105_X19 )
          & ( k04_buttercup10619 @ sK105_X19 )
          & ( k04_buttercup10619 @ sK106_SY210 )
          & ~ ( b48_buttercup10111 @ sK106_SY210 )
          & ~ ( k04_buttercup10619 @ sK107_SY212 )
          & ( b48_buttercup10111 @ sK107_SY212 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[249]) ).

thf(273,plain,
    ( ( ! [X27: $i] :
          ( ~ ( k04_buttercup10619 @ X27 )
          | ( b48_buttercup10098 @ X27 ) )
      & ( b48_buttercup10098 @ sK104_X28 )
      & ~ ( k04_buttercup10619 @ sK104_X28 ) )
    = $true ),
    inference(copy,[status(thm)],[248]) ).

thf(274,plain,
    ( ( ( ! [X36: $i] :
            ( ~ ( k04_buttercup10619 @ X36 )
            | ~ ( b48_buttercup10109 @ X36 ) )
        | ! [X34: $i] :
            ( ~ ( k04_buttercup10619 @ X34 )
            | ( b48_buttercup10109 @ X34 ) )
        | ! [X32: $i] :
            ( ~ ( b48_buttercup10109 @ X32 )
            | ( k04_buttercup10619 @ X32 ) )
        | ( ( b48_buttercup10109 @ sK101_X29 )
          & ( k04_buttercup10619 @ sK101_X29 )
          & ( k04_buttercup10619 @ sK102_SY207 )
          & ~ ( b48_buttercup10109 @ sK102_SY207 )
          & ~ ( k04_buttercup10619 @ sK103_SY209 )
          & ( b48_buttercup10109 @ sK103_SY209 ) ) )
      & ( ! [X36: $i] :
            ( ~ ( k04_buttercup10619 @ X36 )
            | ~ ( b48_buttercup10109 @ X36 ) )
        | ! [X34: $i] :
            ( ~ ( k04_buttercup10619 @ X34 )
            | ( b48_buttercup10109 @ X34 ) )
        | ( ( k04_buttercup10619 @ sK100_X33 )
          & ~ ( b48_buttercup10109 @ sK100_X33 ) )
        | ( ( b48_buttercup10109 @ sK97_X29 )
          & ( k04_buttercup10619 @ sK97_X29 )
          & ( k04_buttercup10619 @ sK98_SY204 )
          & ~ ( b48_buttercup10109 @ sK98_SY204 )
          & ~ ( k04_buttercup10619 @ sK99_SY206 )
          & ( b48_buttercup10109 @ sK99_SY206 ) ) )
      & ( ! [X36: $i] :
            ( ~ ( k04_buttercup10619 @ X36 )
            | ~ ( b48_buttercup10109 @ X36 ) )
        | ( ( b48_buttercup10109 @ sK96_X35 )
          & ~ ( k04_buttercup10619 @ sK96_X35 ) )
        | ! [X32: $i] :
            ( ~ ( b48_buttercup10109 @ X32 )
            | ( k04_buttercup10619 @ X32 ) )
        | ( ( b48_buttercup10109 @ sK93_X29 )
          & ( k04_buttercup10619 @ sK93_X29 )
          & ( k04_buttercup10619 @ sK94_SY201 )
          & ~ ( b48_buttercup10109 @ sK94_SY201 )
          & ~ ( k04_buttercup10619 @ sK95_SY203 )
          & ( b48_buttercup10109 @ sK95_SY203 ) ) )
      & ( ! [X36: $i] :
            ( ~ ( k04_buttercup10619 @ X36 )
            | ~ ( b48_buttercup10109 @ X36 ) )
        | ( ( b48_buttercup10109 @ sK92_X35 )
          & ~ ( k04_buttercup10619 @ sK92_X35 ) )
        | ( ( k04_buttercup10619 @ sK91_X33 )
          & ~ ( b48_buttercup10109 @ sK91_X33 ) )
        | ( ( b48_buttercup10109 @ sK88_X29 )
          & ( k04_buttercup10619 @ sK88_X29 )
          & ( k04_buttercup10619 @ sK89_SY198 )
          & ~ ( b48_buttercup10109 @ sK89_SY198 )
          & ~ ( k04_buttercup10619 @ sK90_SY200 )
          & ( b48_buttercup10109 @ sK90_SY200 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[247]) ).

thf(275,plain,
    ( ( ! [X37: $i] :
          ( ~ ( b48_buttercup10111 @ X37 )
          | ( k04_buttercup10100 @ X37 ) )
      & ( k04_buttercup10100 @ sK87_X38 )
      & ~ ( b48_buttercup10111 @ sK87_X38 ) )
    = $true ),
    inference(copy,[status(thm)],[246]) ).

thf(276,plain,
    ( ( ( ! [X46: $i] :
            ( ~ ( k04_buttercup10100 @ X46 )
            | ~ ( b48_buttercup10108 @ X46 ) )
        | ! [X44: $i] :
            ( ~ ( k04_buttercup10100 @ X44 )
            | ( b48_buttercup10108 @ X44 ) )
        | ! [X42: $i] :
            ( ~ ( b48_buttercup10108 @ X42 )
            | ( k04_buttercup10100 @ X42 ) )
        | ( ( b48_buttercup10108 @ sK84_X39 )
          & ( k04_buttercup10100 @ sK84_X39 )
          & ( k04_buttercup10100 @ sK85_SY195 )
          & ~ ( b48_buttercup10108 @ sK85_SY195 )
          & ~ ( k04_buttercup10100 @ sK86_SY197 )
          & ( b48_buttercup10108 @ sK86_SY197 ) ) )
      & ( ! [X46: $i] :
            ( ~ ( k04_buttercup10100 @ X46 )
            | ~ ( b48_buttercup10108 @ X46 ) )
        | ! [X44: $i] :
            ( ~ ( k04_buttercup10100 @ X44 )
            | ( b48_buttercup10108 @ X44 ) )
        | ( ( k04_buttercup10100 @ sK83_X43 )
          & ~ ( b48_buttercup10108 @ sK83_X43 ) )
        | ( ( b48_buttercup10108 @ sK80_X39 )
          & ( k04_buttercup10100 @ sK80_X39 )
          & ( k04_buttercup10100 @ sK81_SY192 )
          & ~ ( b48_buttercup10108 @ sK81_SY192 )
          & ~ ( k04_buttercup10100 @ sK82_SY194 )
          & ( b48_buttercup10108 @ sK82_SY194 ) ) )
      & ( ! [X46: $i] :
            ( ~ ( k04_buttercup10100 @ X46 )
            | ~ ( b48_buttercup10108 @ X46 ) )
        | ( ( b48_buttercup10108 @ sK79_X45 )
          & ~ ( k04_buttercup10100 @ sK79_X45 ) )
        | ! [X42: $i] :
            ( ~ ( b48_buttercup10108 @ X42 )
            | ( k04_buttercup10100 @ X42 ) )
        | ( ( b48_buttercup10108 @ sK76_X39 )
          & ( k04_buttercup10100 @ sK76_X39 )
          & ( k04_buttercup10100 @ sK77_SY189 )
          & ~ ( b48_buttercup10108 @ sK77_SY189 )
          & ~ ( k04_buttercup10100 @ sK78_SY191 )
          & ( b48_buttercup10108 @ sK78_SY191 ) ) )
      & ( ! [X46: $i] :
            ( ~ ( k04_buttercup10100 @ X46 )
            | ~ ( b48_buttercup10108 @ X46 ) )
        | ( ( b48_buttercup10108 @ sK75_X45 )
          & ~ ( k04_buttercup10100 @ sK75_X45 ) )
        | ( ( k04_buttercup10100 @ sK74_X43 )
          & ~ ( b48_buttercup10108 @ sK74_X43 ) )
        | ( ( b48_buttercup10108 @ sK71_X39 )
          & ( k04_buttercup10100 @ sK71_X39 )
          & ( k04_buttercup10100 @ sK72_SY186 )
          & ~ ( b48_buttercup10108 @ sK72_SY186 )
          & ~ ( k04_buttercup10100 @ sK73_SY188 )
          & ( b48_buttercup10108 @ sK73_SY188 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[245]) ).

thf(277,plain,
    ( ( ( ! [X54: $i] :
            ( ~ ( k04_buttercup10100 @ X54 )
            | ~ ( b48_buttercup10110 @ X54 ) )
        | ! [X52: $i] :
            ( ~ ( k04_buttercup10100 @ X52 )
            | ( b48_buttercup10110 @ X52 ) )
        | ! [X50: $i] :
            ( ~ ( b48_buttercup10110 @ X50 )
            | ( k04_buttercup10100 @ X50 ) )
        | ( ( b48_buttercup10110 @ sK68_X47 )
          & ( k04_buttercup10100 @ sK68_X47 )
          & ( k04_buttercup10100 @ sK69_SY183 )
          & ~ ( b48_buttercup10110 @ sK69_SY183 )
          & ~ ( k04_buttercup10100 @ sK70_SY185 )
          & ( b48_buttercup10110 @ sK70_SY185 ) ) )
      & ( ! [X54: $i] :
            ( ~ ( k04_buttercup10100 @ X54 )
            | ~ ( b48_buttercup10110 @ X54 ) )
        | ! [X52: $i] :
            ( ~ ( k04_buttercup10100 @ X52 )
            | ( b48_buttercup10110 @ X52 ) )
        | ( ( k04_buttercup10100 @ sK67_X51 )
          & ~ ( b48_buttercup10110 @ sK67_X51 ) )
        | ( ( b48_buttercup10110 @ sK64_X47 )
          & ( k04_buttercup10100 @ sK64_X47 )
          & ( k04_buttercup10100 @ sK65_SY180 )
          & ~ ( b48_buttercup10110 @ sK65_SY180 )
          & ~ ( k04_buttercup10100 @ sK66_SY182 )
          & ( b48_buttercup10110 @ sK66_SY182 ) ) )
      & ( ! [X54: $i] :
            ( ~ ( k04_buttercup10100 @ X54 )
            | ~ ( b48_buttercup10110 @ X54 ) )
        | ( ( b48_buttercup10110 @ sK63_X53 )
          & ~ ( k04_buttercup10100 @ sK63_X53 ) )
        | ! [X50: $i] :
            ( ~ ( b48_buttercup10110 @ X50 )
            | ( k04_buttercup10100 @ X50 ) )
        | ( ( b48_buttercup10110 @ sK60_X47 )
          & ( k04_buttercup10100 @ sK60_X47 )
          & ( k04_buttercup10100 @ sK61_SY177 )
          & ~ ( b48_buttercup10110 @ sK61_SY177 )
          & ~ ( k04_buttercup10100 @ sK62_SY179 )
          & ( b48_buttercup10110 @ sK62_SY179 ) ) )
      & ( ! [X54: $i] :
            ( ~ ( k04_buttercup10100 @ X54 )
            | ~ ( b48_buttercup10110 @ X54 ) )
        | ( ( b48_buttercup10110 @ sK59_X53 )
          & ~ ( k04_buttercup10100 @ sK59_X53 ) )
        | ( ( k04_buttercup10100 @ sK58_X51 )
          & ~ ( b48_buttercup10110 @ sK58_X51 ) )
        | ( ( b48_buttercup10110 @ sK55_X47 )
          & ( k04_buttercup10100 @ sK55_X47 )
          & ( k04_buttercup10100 @ sK56_SY174 )
          & ~ ( b48_buttercup10110 @ sK56_SY174 )
          & ~ ( k04_buttercup10100 @ sK57_SY176 )
          & ( b48_buttercup10110 @ sK57_SY176 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[244]) ).

thf(278,plain,
    ( ( ! [X55: $i] :
          ( ~ ( b48_buttercup10104 @ X55 )
          | ( k04_buttercup10622 @ X55 ) )
      & ( k04_buttercup10622 @ sK54_X56 )
      & ~ ( b48_buttercup10104 @ sK54_X56 ) )
    = $true ),
    inference(copy,[status(thm)],[243]) ).

thf(279,plain,
    ( ( ! [X57: $i] :
          ( ~ ( b48_buttercup10110 @ X57 )
          | ( k04_buttercup10622 @ X57 ) )
      & ( k04_buttercup10622 @ sK53_X58 )
      & ~ ( b48_buttercup10110 @ sK53_X58 ) )
    = $true ),
    inference(copy,[status(thm)],[242]) ).

thf(280,plain,
    ( ( ! [X59: $i] :
          ( ~ ( b48_buttercup10108 @ X59 )
          | ( k04_buttercup10622 @ X59 ) )
      & ( k04_buttercup10622 @ sK52_X60 )
      & ~ ( b48_buttercup10108 @ sK52_X60 ) )
    = $true ),
    inference(copy,[status(thm)],[241]) ).

thf(281,plain,
    ( ( ! [X61: $i] :
          ( ~ ( k04_buttercup10100 @ X61 )
          | ( b48_buttercup10098 @ X61 ) )
      & ( b48_buttercup10098 @ sK51_X62 )
      & ~ ( k04_buttercup10100 @ sK51_X62 ) )
    = $true ),
    inference(copy,[status(thm)],[240]) ).

thf(282,plain,
    ( ( ( ! [X70: $i] :
            ( ~ ( k04_buttercup10100 @ X70 )
            | ~ ( b48_buttercup10102 @ X70 ) )
        | ! [X68: $i] :
            ( ~ ( k04_buttercup10100 @ X68 )
            | ( b48_buttercup10102 @ X68 ) )
        | ! [X66: $i] :
            ( ~ ( b48_buttercup10102 @ X66 )
            | ( k04_buttercup10100 @ X66 ) )
        | ( ( b48_buttercup10102 @ sK48_X63 )
          & ( k04_buttercup10100 @ sK48_X63 )
          & ( k04_buttercup10100 @ sK49_SY171 )
          & ~ ( b48_buttercup10102 @ sK49_SY171 )
          & ~ ( k04_buttercup10100 @ sK50_SY173 )
          & ( b48_buttercup10102 @ sK50_SY173 ) ) )
      & ( ! [X70: $i] :
            ( ~ ( k04_buttercup10100 @ X70 )
            | ~ ( b48_buttercup10102 @ X70 ) )
        | ! [X68: $i] :
            ( ~ ( k04_buttercup10100 @ X68 )
            | ( b48_buttercup10102 @ X68 ) )
        | ( ( k04_buttercup10100 @ sK47_X67 )
          & ~ ( b48_buttercup10102 @ sK47_X67 ) )
        | ( ( b48_buttercup10102 @ sK44_X63 )
          & ( k04_buttercup10100 @ sK44_X63 )
          & ( k04_buttercup10100 @ sK45_SY168 )
          & ~ ( b48_buttercup10102 @ sK45_SY168 )
          & ~ ( k04_buttercup10100 @ sK46_SY170 )
          & ( b48_buttercup10102 @ sK46_SY170 ) ) )
      & ( ! [X70: $i] :
            ( ~ ( k04_buttercup10100 @ X70 )
            | ~ ( b48_buttercup10102 @ X70 ) )
        | ( ( b48_buttercup10102 @ sK43_X69 )
          & ~ ( k04_buttercup10100 @ sK43_X69 ) )
        | ! [X66: $i] :
            ( ~ ( b48_buttercup10102 @ X66 )
            | ( k04_buttercup10100 @ X66 ) )
        | ( ( b48_buttercup10102 @ sK40_X63 )
          & ( k04_buttercup10100 @ sK40_X63 )
          & ( k04_buttercup10100 @ sK41_SY165 )
          & ~ ( b48_buttercup10102 @ sK41_SY165 )
          & ~ ( k04_buttercup10100 @ sK42_SY167 )
          & ( b48_buttercup10102 @ sK42_SY167 ) ) )
      & ( ! [X70: $i] :
            ( ~ ( k04_buttercup10100 @ X70 )
            | ~ ( b48_buttercup10102 @ X70 ) )
        | ( ( b48_buttercup10102 @ sK39_X69 )
          & ~ ( k04_buttercup10100 @ sK39_X69 ) )
        | ( ( k04_buttercup10100 @ sK38_X67 )
          & ~ ( b48_buttercup10102 @ sK38_X67 ) )
        | ( ( b48_buttercup10102 @ sK35_X63 )
          & ( k04_buttercup10100 @ sK35_X63 )
          & ( k04_buttercup10100 @ sK36_SY162 )
          & ~ ( b48_buttercup10102 @ sK36_SY162 )
          & ~ ( k04_buttercup10100 @ sK37_SY164 )
          & ( b48_buttercup10102 @ sK37_SY164 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[239]) ).

thf(283,plain,
    ( ( ! [X71: $i] :
          ( ~ ( b48_buttercup10102 @ X71 )
          | ( k04_buttercup10622 @ X71 ) )
      & ( k04_buttercup10622 @ sK34_X72 )
      & ~ ( b48_buttercup10102 @ sK34_X72 ) )
    = $true ),
    inference(copy,[status(thm)],[238]) ).

thf(284,plain,
    ( ( ! [X73: $i] :
          ( ~ ( b48_buttercup10107 @ X73 )
          | ( k04_buttercup10620 @ X73 ) )
      & ! [X73: $i] :
          ( ~ ( k04_buttercup10620 @ X73 )
          | ( b48_buttercup10107 @ X73 ) ) )
    = $true ),
    inference(copy,[status(thm)],[237]) ).

thf(285,plain,
    ( ( ( ! [X81: $i] :
            ( ~ ( k04_buttercup10100 @ X81 )
            | ~ ( b48_buttercup10107 @ X81 ) )
        | ! [X79: $i] :
            ( ~ ( k04_buttercup10100 @ X79 )
            | ( b48_buttercup10107 @ X79 ) )
        | ! [X77: $i] :
            ( ~ ( b48_buttercup10107 @ X77 )
            | ( k04_buttercup10100 @ X77 ) )
        | ( ( b48_buttercup10107 @ sK31_X74 )
          & ( k04_buttercup10100 @ sK31_X74 )
          & ( k04_buttercup10100 @ sK32_SY159 )
          & ~ ( b48_buttercup10107 @ sK32_SY159 )
          & ~ ( k04_buttercup10100 @ sK33_SY161 )
          & ( b48_buttercup10107 @ sK33_SY161 ) ) )
      & ( ! [X81: $i] :
            ( ~ ( k04_buttercup10100 @ X81 )
            | ~ ( b48_buttercup10107 @ X81 ) )
        | ! [X79: $i] :
            ( ~ ( k04_buttercup10100 @ X79 )
            | ( b48_buttercup10107 @ X79 ) )
        | ( ( k04_buttercup10100 @ sK30_X78 )
          & ~ ( b48_buttercup10107 @ sK30_X78 ) )
        | ( ( b48_buttercup10107 @ sK27_X74 )
          & ( k04_buttercup10100 @ sK27_X74 )
          & ( k04_buttercup10100 @ sK28_SY156 )
          & ~ ( b48_buttercup10107 @ sK28_SY156 )
          & ~ ( k04_buttercup10100 @ sK29_SY158 )
          & ( b48_buttercup10107 @ sK29_SY158 ) ) )
      & ( ! [X81: $i] :
            ( ~ ( k04_buttercup10100 @ X81 )
            | ~ ( b48_buttercup10107 @ X81 ) )
        | ( ( b48_buttercup10107 @ sK26_X80 )
          & ~ ( k04_buttercup10100 @ sK26_X80 ) )
        | ! [X77: $i] :
            ( ~ ( b48_buttercup10107 @ X77 )
            | ( k04_buttercup10100 @ X77 ) )
        | ( ( b48_buttercup10107 @ sK23_X74 )
          & ( k04_buttercup10100 @ sK23_X74 )
          & ( k04_buttercup10100 @ sK24_SY153 )
          & ~ ( b48_buttercup10107 @ sK24_SY153 )
          & ~ ( k04_buttercup10100 @ sK25_SY155 )
          & ( b48_buttercup10107 @ sK25_SY155 ) ) )
      & ( ! [X81: $i] :
            ( ~ ( k04_buttercup10100 @ X81 )
            | ~ ( b48_buttercup10107 @ X81 ) )
        | ( ( b48_buttercup10107 @ sK22_X80 )
          & ~ ( k04_buttercup10100 @ sK22_X80 ) )
        | ( ( k04_buttercup10100 @ sK21_X78 )
          & ~ ( b48_buttercup10107 @ sK21_X78 ) )
        | ( ( b48_buttercup10107 @ sK18_X74 )
          & ( k04_buttercup10100 @ sK18_X74 )
          & ( k04_buttercup10100 @ sK19_SY150 )
          & ~ ( b48_buttercup10107 @ sK19_SY150 )
          & ~ ( k04_buttercup10100 @ sK20_SY152 )
          & ( b48_buttercup10107 @ sK20_SY152 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[236]) ).

thf(286,plain,
    ( ( k04_buttercup10100 @ sK17_X82 )
    = $true ),
    inference(copy,[status(thm)],[235]) ).

thf(287,plain,
    ( ( k04_buttercup10619 @ sK16_X83 )
    = $true ),
    inference(copy,[status(thm)],[234]) ).

thf(288,plain,
    ( ( k04_buttercup10620 @ sK15_X84 )
    = $true ),
    inference(copy,[status(thm)],[233]) ).

thf(289,plain,
    ( ( k04_buttercup10622 @ sK14_X85 )
    = $true ),
    inference(copy,[status(thm)],[232]) ).

thf(290,plain,
    ( ( b48_buttercup10098 @ sK13_X86 )
    = $true ),
    inference(copy,[status(thm)],[231]) ).

thf(291,plain,
    ( ( b48_buttercup10111 @ sK12_X87 )
    = $true ),
    inference(copy,[status(thm)],[230]) ).

thf(292,plain,
    ( ( b48_buttercup10110 @ sK11_X88 )
    = $true ),
    inference(copy,[status(thm)],[229]) ).

thf(293,plain,
    ( ( b48_buttercup10102 @ sK10_X89 )
    = $true ),
    inference(copy,[status(thm)],[228]) ).

thf(294,plain,
    ( ( b48_buttercup10104 @ sK9_X90 )
    = $true ),
    inference(copy,[status(thm)],[227]) ).

thf(295,plain,
    ( ( b48_buttercup10107 @ sK8_X91 )
    = $true ),
    inference(copy,[status(thm)],[226]) ).

thf(296,plain,
    ( ( b48_buttercup10108 @ sK7_X92 )
    = $true ),
    inference(copy,[status(thm)],[225]) ).

thf(297,plain,
    ( ( b48_buttercup10109 @ sK6_X93 )
    = $true ),
    inference(copy,[status(thm)],[224]) ).

thf(298,plain,
    ( ( ! [X94: $i] :
          ( ~ ( k04_buttercup10100 @ X94 )
          | ~ ( k04_buttercup10619 @ X94 ) ) )
    = $true ),
    inference(copy,[status(thm)],[223]) ).

thf(299,plain,
    ( ( ! [X95: $i] :
          ( ~ ( k04_buttercup10620 @ X95 )
          | ~ ( k04_buttercup10622 @ X95 ) ) )
    = $true ),
    inference(copy,[status(thm)],[222]) ).

thf(300,plain,
    ( ( ! [X96: $i] :
          ( ~ ( k04_buttercup10622 @ X96 )
          | ~ ( k04_buttercup10620 @ X96 ) ) )
    = $true ),
    inference(copy,[status(thm)],[221]) ).

thf(301,plain,
    ( ( ! [X97: $i] :
          ( ~ ( k04_buttercup10619 @ X97 )
          | ~ ( k04_buttercup10100 @ X97 ) ) )
    = $true ),
    inference(copy,[status(thm)],[220]) ).

thf(302,plain,
    ( ( ! [X98: $i] :
          ( ~ ( b48_buttercup10102 @ X98 )
          | ~ ( b48_buttercup10104 @ X98 ) ) )
    = $true ),
    inference(copy,[status(thm)],[219]) ).

thf(303,plain,
    ( ( ! [X99: $i] :
          ( ~ ( b48_buttercup10102 @ X99 )
          | ~ ( b48_buttercup10107 @ X99 ) ) )
    = $true ),
    inference(copy,[status(thm)],[218]) ).

thf(304,plain,
    ( ( ! [X100: $i] :
          ( ~ ( b48_buttercup10102 @ X100 )
          | ~ ( b48_buttercup10108 @ X100 ) ) )
    = $true ),
    inference(copy,[status(thm)],[217]) ).

thf(305,plain,
    ( ( ! [X101: $i] :
          ( ~ ( b48_buttercup10102 @ X101 )
          | ~ ( b48_buttercup10109 @ X101 ) ) )
    = $true ),
    inference(copy,[status(thm)],[216]) ).

thf(306,plain,
    ( ( ! [X102: $i] :
          ( ~ ( b48_buttercup10102 @ X102 )
          | ~ ( b48_buttercup10110 @ X102 ) ) )
    = $true ),
    inference(copy,[status(thm)],[215]) ).

thf(307,plain,
    ( ( ! [X103: $i] :
          ( ~ ( b48_buttercup10102 @ X103 )
          | ~ ( b48_buttercup10111 @ X103 ) ) )
    = $true ),
    inference(copy,[status(thm)],[214]) ).

thf(308,plain,
    ( ( ! [X104: $i] :
          ( ~ ( b48_buttercup10104 @ X104 )
          | ~ ( b48_buttercup10102 @ X104 ) ) )
    = $true ),
    inference(copy,[status(thm)],[213]) ).

thf(309,plain,
    ( ( ! [X105: $i] :
          ( ~ ( b48_buttercup10104 @ X105 )
          | ~ ( b48_buttercup10107 @ X105 ) ) )
    = $true ),
    inference(copy,[status(thm)],[212]) ).

thf(310,plain,
    ( ( ! [X106: $i] :
          ( ~ ( b48_buttercup10104 @ X106 )
          | ~ ( b48_buttercup10108 @ X106 ) ) )
    = $true ),
    inference(copy,[status(thm)],[211]) ).

thf(311,plain,
    ( ( ! [X107: $i] :
          ( ~ ( b48_buttercup10104 @ X107 )
          | ~ ( b48_buttercup10109 @ X107 ) ) )
    = $true ),
    inference(copy,[status(thm)],[210]) ).

thf(312,plain,
    ( ( ! [X108: $i] :
          ( ~ ( b48_buttercup10104 @ X108 )
          | ~ ( b48_buttercup10110 @ X108 ) ) )
    = $true ),
    inference(copy,[status(thm)],[209]) ).

thf(313,plain,
    ( ( ! [X109: $i] :
          ( ~ ( b48_buttercup10104 @ X109 )
          | ~ ( b48_buttercup10111 @ X109 ) ) )
    = $true ),
    inference(copy,[status(thm)],[208]) ).

thf(314,plain,
    ( ( ! [X110: $i] :
          ( ~ ( b48_buttercup10107 @ X110 )
          | ~ ( b48_buttercup10102 @ X110 ) ) )
    = $true ),
    inference(copy,[status(thm)],[207]) ).

thf(315,plain,
    ( ( ! [X111: $i] :
          ( ~ ( b48_buttercup10107 @ X111 )
          | ~ ( b48_buttercup10104 @ X111 ) ) )
    = $true ),
    inference(copy,[status(thm)],[206]) ).

thf(316,plain,
    ( ( ! [X112: $i] :
          ( ~ ( b48_buttercup10107 @ X112 )
          | ~ ( b48_buttercup10108 @ X112 ) ) )
    = $true ),
    inference(copy,[status(thm)],[205]) ).

thf(317,plain,
    ( ( ! [X113: $i] :
          ( ~ ( b48_buttercup10107 @ X113 )
          | ~ ( b48_buttercup10109 @ X113 ) ) )
    = $true ),
    inference(copy,[status(thm)],[204]) ).

thf(318,plain,
    ( ( ! [X114: $i] :
          ( ~ ( b48_buttercup10107 @ X114 )
          | ~ ( b48_buttercup10110 @ X114 ) ) )
    = $true ),
    inference(copy,[status(thm)],[203]) ).

thf(319,plain,
    ( ( ! [X115: $i] :
          ( ~ ( b48_buttercup10107 @ X115 )
          | ~ ( b48_buttercup10111 @ X115 ) ) )
    = $true ),
    inference(copy,[status(thm)],[202]) ).

thf(320,plain,
    ( ( ! [X116: $i] :
          ( ~ ( b48_buttercup10108 @ X116 )
          | ~ ( b48_buttercup10102 @ X116 ) ) )
    = $true ),
    inference(copy,[status(thm)],[201]) ).

thf(321,plain,
    ( ( ! [X117: $i] :
          ( ~ ( b48_buttercup10108 @ X117 )
          | ~ ( b48_buttercup10104 @ X117 ) ) )
    = $true ),
    inference(copy,[status(thm)],[200]) ).

thf(322,plain,
    ( ( ! [X118: $i] :
          ( ~ ( b48_buttercup10108 @ X118 )
          | ~ ( b48_buttercup10107 @ X118 ) ) )
    = $true ),
    inference(copy,[status(thm)],[199]) ).

thf(323,plain,
    ( ( ! [X119: $i] :
          ( ~ ( b48_buttercup10108 @ X119 )
          | ~ ( b48_buttercup10109 @ X119 ) ) )
    = $true ),
    inference(copy,[status(thm)],[198]) ).

thf(324,plain,
    ( ( ! [X120: $i] :
          ( ~ ( b48_buttercup10108 @ X120 )
          | ~ ( b48_buttercup10110 @ X120 ) ) )
    = $true ),
    inference(copy,[status(thm)],[197]) ).

thf(325,plain,
    ( ( ! [X121: $i] :
          ( ~ ( b48_buttercup10108 @ X121 )
          | ~ ( b48_buttercup10111 @ X121 ) ) )
    = $true ),
    inference(copy,[status(thm)],[196]) ).

thf(326,plain,
    ( ( ! [X122: $i] :
          ( ~ ( b48_buttercup10109 @ X122 )
          | ~ ( b48_buttercup10102 @ X122 ) ) )
    = $true ),
    inference(copy,[status(thm)],[195]) ).

thf(327,plain,
    ( ( ! [X123: $i] :
          ( ~ ( b48_buttercup10109 @ X123 )
          | ~ ( b48_buttercup10104 @ X123 ) ) )
    = $true ),
    inference(copy,[status(thm)],[194]) ).

thf(328,plain,
    ( ( ! [X124: $i] :
          ( ~ ( b48_buttercup10109 @ X124 )
          | ~ ( b48_buttercup10107 @ X124 ) ) )
    = $true ),
    inference(copy,[status(thm)],[193]) ).

thf(329,plain,
    ( ( ! [X125: $i] :
          ( ~ ( b48_buttercup10109 @ X125 )
          | ~ ( b48_buttercup10108 @ X125 ) ) )
    = $true ),
    inference(copy,[status(thm)],[192]) ).

thf(330,plain,
    ( ( ! [X126: $i] :
          ( ~ ( b48_buttercup10109 @ X126 )
          | ~ ( b48_buttercup10110 @ X126 ) ) )
    = $true ),
    inference(copy,[status(thm)],[191]) ).

thf(331,plain,
    ( ( ! [X127: $i] :
          ( ~ ( b48_buttercup10109 @ X127 )
          | ~ ( b48_buttercup10111 @ X127 ) ) )
    = $true ),
    inference(copy,[status(thm)],[190]) ).

thf(332,plain,
    ( ( ! [X128: $i] :
          ( ~ ( b48_buttercup10110 @ X128 )
          | ~ ( b48_buttercup10102 @ X128 ) ) )
    = $true ),
    inference(copy,[status(thm)],[189]) ).

thf(333,plain,
    ( ( ! [X129: $i] :
          ( ~ ( b48_buttercup10110 @ X129 )
          | ~ ( b48_buttercup10104 @ X129 ) ) )
    = $true ),
    inference(copy,[status(thm)],[188]) ).

thf(334,plain,
    ( ( ! [X130: $i] :
          ( ~ ( b48_buttercup10110 @ X130 )
          | ~ ( b48_buttercup10107 @ X130 ) ) )
    = $true ),
    inference(copy,[status(thm)],[187]) ).

thf(335,plain,
    ( ( ! [X131: $i] :
          ( ~ ( b48_buttercup10110 @ X131 )
          | ~ ( b48_buttercup10108 @ X131 ) ) )
    = $true ),
    inference(copy,[status(thm)],[186]) ).

thf(336,plain,
    ( ( ! [X132: $i] :
          ( ~ ( b48_buttercup10110 @ X132 )
          | ~ ( b48_buttercup10109 @ X132 ) ) )
    = $true ),
    inference(copy,[status(thm)],[185]) ).

thf(337,plain,
    ( ( ! [X133: $i] :
          ( ~ ( b48_buttercup10110 @ X133 )
          | ~ ( b48_buttercup10111 @ X133 ) ) )
    = $true ),
    inference(copy,[status(thm)],[184]) ).

thf(338,plain,
    ( ( ! [X134: $i] :
          ( ~ ( b48_buttercup10111 @ X134 )
          | ~ ( b48_buttercup10102 @ X134 ) ) )
    = $true ),
    inference(copy,[status(thm)],[183]) ).

thf(339,plain,
    ( ( ! [X135: $i] :
          ( ~ ( b48_buttercup10111 @ X135 )
          | ~ ( b48_buttercup10104 @ X135 ) ) )
    = $true ),
    inference(copy,[status(thm)],[182]) ).

thf(340,plain,
    ( ( ! [X136: $i] :
          ( ~ ( b48_buttercup10111 @ X136 )
          | ~ ( b48_buttercup10107 @ X136 ) ) )
    = $true ),
    inference(copy,[status(thm)],[181]) ).

thf(341,plain,
    ( ( ! [X137: $i] :
          ( ~ ( b48_buttercup10111 @ X137 )
          | ~ ( b48_buttercup10108 @ X137 ) ) )
    = $true ),
    inference(copy,[status(thm)],[180]) ).

thf(342,plain,
    ( ( ! [X138: $i] :
          ( ~ ( b48_buttercup10111 @ X138 )
          | ~ ( b48_buttercup10109 @ X138 ) ) )
    = $true ),
    inference(copy,[status(thm)],[179]) ).

thf(343,plain,
    ( ( ! [X139: $i] :
          ( ~ ( b48_buttercup10111 @ X139 )
          | ~ ( b48_buttercup10110 @ X139 ) ) )
    = $true ),
    inference(copy,[status(thm)],[178]) ).

thf(344,plain,
    ( ( ! [X140: $i] :
          ( ~ ( k04_buttercup10619 @ X140 )
          | ( k04_buttercup10620 @ X140 )
          | ( k04_buttercup10622 @ X140 ) ) )
    = $true ),
    inference(copy,[status(thm)],[177]) ).

thf(345,plain,
    ( ( ! [X141: $i] :
          ( ~ ( b48_buttercup10098 @ X141 )
          | ( b48_buttercup10111 @ X141 )
          | ( b48_buttercup10110 @ X141 )
          | ( b48_buttercup10109 @ X141 )
          | ( b48_buttercup10108 @ X141 )
          | ( b48_buttercup10107 @ X141 )
          | ( b48_buttercup10102 @ X141 )
          | ( b48_buttercup10104 @ X141 ) ) )
    = $true ),
    inference(copy,[status(thm)],[176]) ).

thf(346,plain,
    ( ( ( k04_buttercup10100 @ sK3_X149 )
      & ( b48_buttercup10098 @ sK3_X149 )
      & ! [X146: $i,X147: $i,X148: $i] :
          ( ~ ( b48_buttercup10098 @ X146 )
          | ~ ( k04_buttercup10100 @ X146 )
          | ~ ( k04_buttercup10100 @ X147 )
          | ( b48_buttercup10098 @ X147 )
          | ( k04_buttercup10100 @ X148 )
          | ~ ( b48_buttercup10098 @ X148 ) )
      & ( sK5_REN
        | ! [X143: $i] :
            ( ~ ( k04_buttercup10100 @ X143 )
            | ( b48_buttercup10098 @ X143 ) ) )
      & ( sK5_REN
       => ( ( b48_buttercup10098 @ sK2_X142 )
          & ~ ( k04_buttercup10100 @ sK2_X142 ) ) )
      & ( sK4_REN
        | ! [X145: $i] :
            ( ~ ( b48_buttercup10098 @ X145 )
            | ( k04_buttercup10100 @ X145 ) ) )
      & ( sK4_REN
       => ( ( k04_buttercup10100 @ sK1_X144 )
          & ~ ( b48_buttercup10098 @ sK1_X144 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[175]) ).

thf(347,plain,
    ( ( ~ ( ~ ~ ( ~ ( ! [SX0: $i] :
                        ( ~ ( k04_buttercup10100 @ SX0 )
                        | ~ ( b48_buttercup10102 @ SX0 ) )
                    | ! [SX0: $i] :
                        ( ~ ( k04_buttercup10100 @ SX0 )
                        | ( b48_buttercup10102 @ SX0 ) )
                    | ! [SX0: $i] :
                        ( ~ ( b48_buttercup10102 @ SX0 )
                        | ( k04_buttercup10100 @ SX0 ) )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK48_X63 )
                                                | ~ ( k04_buttercup10100 @ sK48_X63 ) )
                                          | ~ ( k04_buttercup10100 @ sK49_SY171 ) )
                                    | ~ ~ ( b48_buttercup10102 @ sK49_SY171 ) )
                              | ~ ~ ( k04_buttercup10100 @ sK50_SY173 ) )
                        | ~ ( b48_buttercup10102 @ sK50_SY173 ) ) )
                | ~ ( ! [SX0: $i] :
                        ( ~ ( k04_buttercup10100 @ SX0 )
                        | ~ ( b48_buttercup10102 @ SX0 ) )
                    | ! [SX0: $i] :
                        ( ~ ( k04_buttercup10100 @ SX0 )
                        | ( b48_buttercup10102 @ SX0 ) )
                    | ~ ( ~ ( k04_buttercup10100 @ sK47_X67 )
                        | ~ ~ ( b48_buttercup10102 @ sK47_X67 ) )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK44_X63 )
                                                | ~ ( k04_buttercup10100 @ sK44_X63 ) )
                                          | ~ ( k04_buttercup10100 @ sK45_SY168 ) )
                                    | ~ ~ ( b48_buttercup10102 @ sK45_SY168 ) )
                              | ~ ~ ( k04_buttercup10100 @ sK46_SY170 ) )
                        | ~ ( b48_buttercup10102 @ sK46_SY170 ) ) ) )
          | ~ ~ ( ~ ( ! [SX0: $i] :
                        ( ~ ( k04_buttercup10100 @ SX0 )
                        | ~ ( b48_buttercup10102 @ SX0 ) )
                    | ~ ( ~ ( b48_buttercup10102 @ sK43_X69 )
                        | ~ ~ ( k04_buttercup10100 @ sK43_X69 ) )
                    | ! [SX0: $i] :
                        ( ~ ( b48_buttercup10102 @ SX0 )
                        | ( k04_buttercup10100 @ SX0 ) )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK40_X63 )
                                                | ~ ( k04_buttercup10100 @ sK40_X63 ) )
                                          | ~ ( k04_buttercup10100 @ sK41_SY165 ) )
                                    | ~ ~ ( b48_buttercup10102 @ sK41_SY165 ) )
                              | ~ ~ ( k04_buttercup10100 @ sK42_SY167 ) )
                        | ~ ( b48_buttercup10102 @ sK42_SY167 ) ) )
                | ~ ( ! [SX0: $i] :
                        ( ~ ( k04_buttercup10100 @ SX0 )
                        | ~ ( b48_buttercup10102 @ SX0 ) )
                    | ~ ( ~ ( b48_buttercup10102 @ sK39_X69 )
                        | ~ ~ ( k04_buttercup10100 @ sK39_X69 ) )
                    | ~ ( ~ ( k04_buttercup10100 @ sK38_X67 )
                        | ~ ~ ( b48_buttercup10102 @ sK38_X67 ) )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                                                | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                                          | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
                                    | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) )
                              | ~ ~ ( k04_buttercup10100 @ sK37_SY164 ) )
                        | ~ ( b48_buttercup10102 @ sK37_SY164 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[282]) ).

thf(348,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( b48_buttercup10104 @ SX0 )
                | ( k04_buttercup10622 @ SX0 ) )
          | ~ ~ ( ~ ( k04_buttercup10622 @ sK54_X56 )
                | ~ ~ ( b48_buttercup10104 @ sK54_X56 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[278]) ).

thf(349,plain,
    ( ( ~ ( ~ ~ ( ~ ( k04_buttercup10100 @ sK3_X149 )
                | ~ ( b48_buttercup10098 @ sK3_X149 ) )
          | ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
                      ( ~ ( b48_buttercup10098 @ SX0 )
                      | ~ ( k04_buttercup10100 @ SX0 )
                      | ~ ( k04_buttercup10100 @ SX1 )
                      | ( b48_buttercup10098 @ SX1 )
                      | ( k04_buttercup10100 @ SX2 )
                      | ~ ( b48_buttercup10098 @ SX2 ) )
                | ~ ~ ( ~ ~ ( ~ ( sK5_REN
                                | ! [SX0: $i] :
                                    ( ~ ( k04_buttercup10100 @ SX0 )
                                    | ( b48_buttercup10098 @ SX0 ) ) )
                            | ~ ( ~ sK5_REN
                                | ~ ( ~ ( b48_buttercup10098 @ sK2_X142 )
                                    | ~ ~ ( k04_buttercup10100 @ sK2_X142 ) ) ) )
                      | ~ ~ ( ~ ( sK4_REN
                                | ! [SX0: $i] :
                                    ( ~ ( b48_buttercup10098 @ SX0 )
                                    | ( k04_buttercup10100 @ SX0 ) ) )
                            | ~ ( ~ sK4_REN
                                | ~ ( ~ ( k04_buttercup10100 @ sK1_X144 )
                                    | ~ ~ ( b48_buttercup10098 @ sK1_X144 ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[346]) ).

thf(350,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( b48_buttercup10107 @ SX0 )
                | ( k04_buttercup10620 @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( k04_buttercup10620 @ SX0 )
                | ( b48_buttercup10107 @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[284]) ).

thf(351,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( k04_buttercup10100 @ SX0 )
                | ( b48_buttercup10098 @ SX0 ) )
          | ~ ~ ( ~ ( b48_buttercup10098 @ sK51_X62 )
                | ~ ~ ( k04_buttercup10100 @ sK51_X62 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[281]) ).

thf(352,plain,
    ( ( ~ ( ~ ~ ( ~ ( ! [SX0: $i] :
                        ( ~ ( k04_buttercup10619 @ SX0 )
                        | ~ ( b48_buttercup10109 @ SX0 ) )
                    | ! [SX0: $i] :
                        ( ~ ( k04_buttercup10619 @ SX0 )
                        | ( b48_buttercup10109 @ SX0 ) )
                    | ! [SX0: $i] :
                        ( ~ ( b48_buttercup10109 @ SX0 )
                        | ( k04_buttercup10619 @ SX0 ) )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK101_X29 )
                                                | ~ ( k04_buttercup10619 @ sK101_X29 ) )
                                          | ~ ( k04_buttercup10619 @ sK102_SY207 ) )
                                    | ~ ~ ( b48_buttercup10109 @ sK102_SY207 ) )
                              | ~ ~ ( k04_buttercup10619 @ sK103_SY209 ) )
                        | ~ ( b48_buttercup10109 @ sK103_SY209 ) ) )
                | ~ ( ! [SX0: $i] :
                        ( ~ ( k04_buttercup10619 @ SX0 )
                        | ~ ( b48_buttercup10109 @ SX0 ) )
                    | ! [SX0: $i] :
                        ( ~ ( k04_buttercup10619 @ SX0 )
                        | ( b48_buttercup10109 @ SX0 ) )
                    | ~ ( ~ ( k04_buttercup10619 @ sK100_X33 )
                        | ~ ~ ( b48_buttercup10109 @ sK100_X33 ) )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK97_X29 )
                                                | ~ ( k04_buttercup10619 @ sK97_X29 ) )
                                          | ~ ( k04_buttercup10619 @ sK98_SY204 ) )
                                    | ~ ~ ( b48_buttercup10109 @ sK98_SY204 ) )
                              | ~ ~ ( k04_buttercup10619 @ sK99_SY206 ) )
                        | ~ ( b48_buttercup10109 @ sK99_SY206 ) ) ) )
          | ~ ~ ( ~ ( ! [SX0: $i] :
                        ( ~ ( k04_buttercup10619 @ SX0 )
                        | ~ ( b48_buttercup10109 @ SX0 ) )
                    | ~ ( ~ ( b48_buttercup10109 @ sK96_X35 )
                        | ~ ~ ( k04_buttercup10619 @ sK96_X35 ) )
                    | ! [SX0: $i] :
                        ( ~ ( b48_buttercup10109 @ SX0 )
                        | ( k04_buttercup10619 @ SX0 ) )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK93_X29 )
                                                | ~ ( k04_buttercup10619 @ sK93_X29 ) )
                                          | ~ ( k04_buttercup10619 @ sK94_SY201 ) )
                                    | ~ ~ ( b48_buttercup10109 @ sK94_SY201 ) )
                              | ~ ~ ( k04_buttercup10619 @ sK95_SY203 ) )
                        | ~ ( b48_buttercup10109 @ sK95_SY203 ) ) )
                | ~ ( ! [SX0: $i] :
                        ( ~ ( k04_buttercup10619 @ SX0 )
                        | ~ ( b48_buttercup10109 @ SX0 ) )
                    | ~ ( ~ ( b48_buttercup10109 @ sK92_X35 )
                        | ~ ~ ( k04_buttercup10619 @ sK92_X35 ) )
                    | ~ ( ~ ( k04_buttercup10619 @ sK91_X33 )
                        | ~ ~ ( b48_buttercup10109 @ sK91_X33 ) )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                                                | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                                          | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
                                    | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) )
                              | ~ ~ ( k04_buttercup10619 @ sK90_SY200 ) )
                        | ~ ( b48_buttercup10109 @ sK90_SY200 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[274]) ).

thf(353,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( b48_buttercup10109 @ SX0 )
                | ( k04_buttercup10100 @ SX0 ) )
          | ~ ~ ( ~ ( k04_buttercup10100 @ sK121_X18 )
                | ~ ~ ( b48_buttercup10109 @ sK121_X18 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[271]) ).

thf(354,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( b48_buttercup10111 @ SX0 )
                | ( k04_buttercup10100 @ SX0 ) )
          | ~ ~ ( ~ ( k04_buttercup10100 @ sK87_X38 )
                | ~ ~ ( b48_buttercup10111 @ sK87_X38 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[275]) ).

thf(355,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( b48_buttercup10102 @ SX0 )
                | ( k04_buttercup10622 @ SX0 ) )
          | ~ ~ ( ~ ( k04_buttercup10622 @ sK34_X72 )
                | ~ ~ ( b48_buttercup10102 @ sK34_X72 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[283]) ).

thf(356,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( k04_buttercup10619 @ SX0 )
                | ( b48_buttercup10098 @ SX0 ) )
          | ~ ~ ( ~ ( b48_buttercup10098 @ sK104_X28 )
                | ~ ~ ( k04_buttercup10619 @ sK104_X28 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[273]) ).

thf(357,plain,
    ( ( ~ ( ~ ~ ( ~ ( ! [SX0: $i] :
                        ( ~ ( k04_buttercup10100 @ SX0 )
                        | ~ ( b48_buttercup10107 @ SX0 ) )
                    | ! [SX0: $i] :
                        ( ~ ( k04_buttercup10100 @ SX0 )
                        | ( b48_buttercup10107 @ SX0 ) )
                    | ! [SX0: $i] :
                        ( ~ ( b48_buttercup10107 @ SX0 )
                        | ( k04_buttercup10100 @ SX0 ) )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK31_X74 )
                                                | ~ ( k04_buttercup10100 @ sK31_X74 ) )
                                          | ~ ( k04_buttercup10100 @ sK32_SY159 ) )
                                    | ~ ~ ( b48_buttercup10107 @ sK32_SY159 ) )
                              | ~ ~ ( k04_buttercup10100 @ sK33_SY161 ) )
                        | ~ ( b48_buttercup10107 @ sK33_SY161 ) ) )
                | ~ ( ! [SX0: $i] :
                        ( ~ ( k04_buttercup10100 @ SX0 )
                        | ~ ( b48_buttercup10107 @ SX0 ) )
                    | ! [SX0: $i] :
                        ( ~ ( k04_buttercup10100 @ SX0 )
                        | ( b48_buttercup10107 @ SX0 ) )
                    | ~ ( ~ ( k04_buttercup10100 @ sK30_X78 )
                        | ~ ~ ( b48_buttercup10107 @ sK30_X78 ) )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK27_X74 )
                                                | ~ ( k04_buttercup10100 @ sK27_X74 ) )
                                          | ~ ( k04_buttercup10100 @ sK28_SY156 ) )
                                    | ~ ~ ( b48_buttercup10107 @ sK28_SY156 ) )
                              | ~ ~ ( k04_buttercup10100 @ sK29_SY158 ) )
                        | ~ ( b48_buttercup10107 @ sK29_SY158 ) ) ) )
          | ~ ~ ( ~ ( ! [SX0: $i] :
                        ( ~ ( k04_buttercup10100 @ SX0 )
                        | ~ ( b48_buttercup10107 @ SX0 ) )
                    | ~ ( ~ ( b48_buttercup10107 @ sK26_X80 )
                        | ~ ~ ( k04_buttercup10100 @ sK26_X80 ) )
                    | ! [SX0: $i] :
                        ( ~ ( b48_buttercup10107 @ SX0 )
                        | ( k04_buttercup10100 @ SX0 ) )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK23_X74 )
                                                | ~ ( k04_buttercup10100 @ sK23_X74 ) )
                                          | ~ ( k04_buttercup10100 @ sK24_SY153 ) )
                                    | ~ ~ ( b48_buttercup10107 @ sK24_SY153 ) )
                              | ~ ~ ( k04_buttercup10100 @ sK25_SY155 ) )
                        | ~ ( b48_buttercup10107 @ sK25_SY155 ) ) )
                | ~ ( ! [SX0: $i] :
                        ( ~ ( k04_buttercup10100 @ SX0 )
                        | ~ ( b48_buttercup10107 @ SX0 ) )
                    | ~ ( ~ ( b48_buttercup10107 @ sK22_X80 )
                        | ~ ~ ( k04_buttercup10100 @ sK22_X80 ) )
                    | ~ ( ~ ( k04_buttercup10100 @ sK21_X78 )
                        | ~ ~ ( b48_buttercup10107 @ sK21_X78 ) )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                                                | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                                          | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
                                    | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) )
                              | ~ ~ ( k04_buttercup10100 @ sK20_SY152 ) )
                        | ~ ( b48_buttercup10107 @ sK20_SY152 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[285]) ).

thf(358,plain,
    ( ( ~ ( ~ ~ ( ~ ( ! [SX0: $i] :
                        ( ~ ( k04_buttercup10100 @ SX0 )
                        | ~ ( b48_buttercup10104 @ SX0 ) )
                    | ! [SX0: $i] :
                        ( ~ ( k04_buttercup10100 @ SX0 )
                        | ( b48_buttercup10104 @ SX0 ) )
                    | ! [SX0: $i] :
                        ( ~ ( b48_buttercup10104 @ SX0 )
                        | ( k04_buttercup10100 @ SX0 ) )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK135_X9 )
                                                | ~ ( k04_buttercup10100 @ sK135_X9 ) )
                                          | ~ ( k04_buttercup10100 @ sK136_SY231 ) )
                                    | ~ ~ ( b48_buttercup10104 @ sK136_SY231 ) )
                              | ~ ~ ( k04_buttercup10100 @ sK137_SY233 ) )
                        | ~ ( b48_buttercup10104 @ sK137_SY233 ) ) )
                | ~ ( ! [SX0: $i] :
                        ( ~ ( k04_buttercup10100 @ SX0 )
                        | ~ ( b48_buttercup10104 @ SX0 ) )
                    | ! [SX0: $i] :
                        ( ~ ( k04_buttercup10100 @ SX0 )
                        | ( b48_buttercup10104 @ SX0 ) )
                    | ~ ( ~ ( k04_buttercup10100 @ sK134_X13 )
                        | ~ ~ ( b48_buttercup10104 @ sK134_X13 ) )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK131_X9 )
                                                | ~ ( k04_buttercup10100 @ sK131_X9 ) )
                                          | ~ ( k04_buttercup10100 @ sK132_SY228 ) )
                                    | ~ ~ ( b48_buttercup10104 @ sK132_SY228 ) )
                              | ~ ~ ( k04_buttercup10100 @ sK133_SY230 ) )
                        | ~ ( b48_buttercup10104 @ sK133_SY230 ) ) ) )
          | ~ ~ ( ~ ( ! [SX0: $i] :
                        ( ~ ( k04_buttercup10100 @ SX0 )
                        | ~ ( b48_buttercup10104 @ SX0 ) )
                    | ~ ( ~ ( b48_buttercup10104 @ sK130_X15 )
                        | ~ ~ ( k04_buttercup10100 @ sK130_X15 ) )
                    | ! [SX0: $i] :
                        ( ~ ( b48_buttercup10104 @ SX0 )
                        | ( k04_buttercup10100 @ SX0 ) )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK127_X9 )
                                                | ~ ( k04_buttercup10100 @ sK127_X9 ) )
                                          | ~ ( k04_buttercup10100 @ sK128_SY225 ) )
                                    | ~ ~ ( b48_buttercup10104 @ sK128_SY225 ) )
                              | ~ ~ ( k04_buttercup10100 @ sK129_SY227 ) )
                        | ~ ( b48_buttercup10104 @ sK129_SY227 ) ) )
                | ~ ( ! [SX0: $i] :
                        ( ~ ( k04_buttercup10100 @ SX0 )
                        | ~ ( b48_buttercup10104 @ SX0 ) )
                    | ~ ( ~ ( b48_buttercup10104 @ sK126_X15 )
                        | ~ ~ ( k04_buttercup10100 @ sK126_X15 ) )
                    | ~ ( ~ ( k04_buttercup10100 @ sK125_X13 )
                        | ~ ~ ( b48_buttercup10104 @ sK125_X13 ) )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                                                | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                                          | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
                                    | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) )
                              | ~ ~ ( k04_buttercup10100 @ sK124_SY224 ) )
                        | ~ ( b48_buttercup10104 @ sK124_SY224 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[270]) ).

thf(359,plain,
    ( ( ~ ( ~ ~ ( ~ ( ! [SX0: $i] :
                        ( ~ ( k04_buttercup10100 @ SX0 )
                        | ~ ( b48_buttercup10110 @ SX0 ) )
                    | ! [SX0: $i] :
                        ( ~ ( k04_buttercup10100 @ SX0 )
                        | ( b48_buttercup10110 @ SX0 ) )
                    | ! [SX0: $i] :
                        ( ~ ( b48_buttercup10110 @ SX0 )
                        | ( k04_buttercup10100 @ SX0 ) )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK68_X47 )
                                                | ~ ( k04_buttercup10100 @ sK68_X47 ) )
                                          | ~ ( k04_buttercup10100 @ sK69_SY183 ) )
                                    | ~ ~ ( b48_buttercup10110 @ sK69_SY183 ) )
                              | ~ ~ ( k04_buttercup10100 @ sK70_SY185 ) )
                        | ~ ( b48_buttercup10110 @ sK70_SY185 ) ) )
                | ~ ( ! [SX0: $i] :
                        ( ~ ( k04_buttercup10100 @ SX0 )
                        | ~ ( b48_buttercup10110 @ SX0 ) )
                    | ! [SX0: $i] :
                        ( ~ ( k04_buttercup10100 @ SX0 )
                        | ( b48_buttercup10110 @ SX0 ) )
                    | ~ ( ~ ( k04_buttercup10100 @ sK67_X51 )
                        | ~ ~ ( b48_buttercup10110 @ sK67_X51 ) )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK64_X47 )
                                                | ~ ( k04_buttercup10100 @ sK64_X47 ) )
                                          | ~ ( k04_buttercup10100 @ sK65_SY180 ) )
                                    | ~ ~ ( b48_buttercup10110 @ sK65_SY180 ) )
                              | ~ ~ ( k04_buttercup10100 @ sK66_SY182 ) )
                        | ~ ( b48_buttercup10110 @ sK66_SY182 ) ) ) )
          | ~ ~ ( ~ ( ! [SX0: $i] :
                        ( ~ ( k04_buttercup10100 @ SX0 )
                        | ~ ( b48_buttercup10110 @ SX0 ) )
                    | ~ ( ~ ( b48_buttercup10110 @ sK63_X53 )
                        | ~ ~ ( k04_buttercup10100 @ sK63_X53 ) )
                    | ! [SX0: $i] :
                        ( ~ ( b48_buttercup10110 @ SX0 )
                        | ( k04_buttercup10100 @ SX0 ) )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK60_X47 )
                                                | ~ ( k04_buttercup10100 @ sK60_X47 ) )
                                          | ~ ( k04_buttercup10100 @ sK61_SY177 ) )
                                    | ~ ~ ( b48_buttercup10110 @ sK61_SY177 ) )
                              | ~ ~ ( k04_buttercup10100 @ sK62_SY179 ) )
                        | ~ ( b48_buttercup10110 @ sK62_SY179 ) ) )
                | ~ ( ! [SX0: $i] :
                        ( ~ ( k04_buttercup10100 @ SX0 )
                        | ~ ( b48_buttercup10110 @ SX0 ) )
                    | ~ ( ~ ( b48_buttercup10110 @ sK59_X53 )
                        | ~ ~ ( k04_buttercup10100 @ sK59_X53 ) )
                    | ~ ( ~ ( k04_buttercup10100 @ sK58_X51 )
                        | ~ ~ ( b48_buttercup10110 @ sK58_X51 ) )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                                                | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                                          | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
                                    | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) )
                              | ~ ~ ( k04_buttercup10100 @ sK57_SY176 ) )
                        | ~ ( b48_buttercup10110 @ sK57_SY176 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[277]) ).

thf(360,plain,
    ( ( ~ ( ~ ~ ( ~ ( ! [SX0: $i] :
                        ( ~ ( k04_buttercup10100 @ SX0 )
                        | ~ ( b48_buttercup10108 @ SX0 ) )
                    | ! [SX0: $i] :
                        ( ~ ( k04_buttercup10100 @ SX0 )
                        | ( b48_buttercup10108 @ SX0 ) )
                    | ! [SX0: $i] :
                        ( ~ ( b48_buttercup10108 @ SX0 )
                        | ( k04_buttercup10100 @ SX0 ) )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK84_X39 )
                                                | ~ ( k04_buttercup10100 @ sK84_X39 ) )
                                          | ~ ( k04_buttercup10100 @ sK85_SY195 ) )
                                    | ~ ~ ( b48_buttercup10108 @ sK85_SY195 ) )
                              | ~ ~ ( k04_buttercup10100 @ sK86_SY197 ) )
                        | ~ ( b48_buttercup10108 @ sK86_SY197 ) ) )
                | ~ ( ! [SX0: $i] :
                        ( ~ ( k04_buttercup10100 @ SX0 )
                        | ~ ( b48_buttercup10108 @ SX0 ) )
                    | ! [SX0: $i] :
                        ( ~ ( k04_buttercup10100 @ SX0 )
                        | ( b48_buttercup10108 @ SX0 ) )
                    | ~ ( ~ ( k04_buttercup10100 @ sK83_X43 )
                        | ~ ~ ( b48_buttercup10108 @ sK83_X43 ) )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK80_X39 )
                                                | ~ ( k04_buttercup10100 @ sK80_X39 ) )
                                          | ~ ( k04_buttercup10100 @ sK81_SY192 ) )
                                    | ~ ~ ( b48_buttercup10108 @ sK81_SY192 ) )
                              | ~ ~ ( k04_buttercup10100 @ sK82_SY194 ) )
                        | ~ ( b48_buttercup10108 @ sK82_SY194 ) ) ) )
          | ~ ~ ( ~ ( ! [SX0: $i] :
                        ( ~ ( k04_buttercup10100 @ SX0 )
                        | ~ ( b48_buttercup10108 @ SX0 ) )
                    | ~ ( ~ ( b48_buttercup10108 @ sK79_X45 )
                        | ~ ~ ( k04_buttercup10100 @ sK79_X45 ) )
                    | ! [SX0: $i] :
                        ( ~ ( b48_buttercup10108 @ SX0 )
                        | ( k04_buttercup10100 @ SX0 ) )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK76_X39 )
                                                | ~ ( k04_buttercup10100 @ sK76_X39 ) )
                                          | ~ ( k04_buttercup10100 @ sK77_SY189 ) )
                                    | ~ ~ ( b48_buttercup10108 @ sK77_SY189 ) )
                              | ~ ~ ( k04_buttercup10100 @ sK78_SY191 ) )
                        | ~ ( b48_buttercup10108 @ sK78_SY191 ) ) )
                | ~ ( ! [SX0: $i] :
                        ( ~ ( k04_buttercup10100 @ SX0 )
                        | ~ ( b48_buttercup10108 @ SX0 ) )
                    | ~ ( ~ ( b48_buttercup10108 @ sK75_X45 )
                        | ~ ~ ( k04_buttercup10100 @ sK75_X45 ) )
                    | ~ ( ~ ( k04_buttercup10100 @ sK74_X43 )
                        | ~ ~ ( b48_buttercup10108 @ sK74_X43 ) )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                                                | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                                          | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
                                    | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) )
                              | ~ ~ ( k04_buttercup10100 @ sK73_SY188 ) )
                        | ~ ( b48_buttercup10108 @ sK73_SY188 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[276]) ).

thf(361,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( b48_buttercup10108 @ SX0 )
                | ( k04_buttercup10622 @ SX0 ) )
          | ~ ~ ( ~ ( k04_buttercup10622 @ sK52_X60 )
                | ~ ~ ( b48_buttercup10108 @ sK52_X60 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[280]) ).

thf(362,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( b48_buttercup10110 @ SX0 )
                | ( k04_buttercup10622 @ SX0 ) )
          | ~ ~ ( ~ ( k04_buttercup10622 @ sK53_X58 )
                | ~ ~ ( b48_buttercup10110 @ sK53_X58 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[279]) ).

thf(363,plain,
    ( ( ~ ( ~ ~ ( ~ ( ! [SX0: $i] :
                        ( ~ ( k04_buttercup10619 @ SX0 )
                        | ~ ( b48_buttercup10111 @ SX0 ) )
                    | ! [SX0: $i] :
                        ( ~ ( k04_buttercup10619 @ SX0 )
                        | ( b48_buttercup10111 @ SX0 ) )
                    | ! [SX0: $i] :
                        ( ~ ( b48_buttercup10111 @ SX0 )
                        | ( k04_buttercup10619 @ SX0 ) )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK118_X19 )
                                                | ~ ( k04_buttercup10619 @ sK118_X19 ) )
                                          | ~ ( k04_buttercup10619 @ sK119_SY219 ) )
                                    | ~ ~ ( b48_buttercup10111 @ sK119_SY219 ) )
                              | ~ ~ ( k04_buttercup10619 @ sK120_SY221 ) )
                        | ~ ( b48_buttercup10111 @ sK120_SY221 ) ) )
                | ~ ( ! [SX0: $i] :
                        ( ~ ( k04_buttercup10619 @ SX0 )
                        | ~ ( b48_buttercup10111 @ SX0 ) )
                    | ! [SX0: $i] :
                        ( ~ ( k04_buttercup10619 @ SX0 )
                        | ( b48_buttercup10111 @ SX0 ) )
                    | ~ ( ~ ( k04_buttercup10619 @ sK117_X23 )
                        | ~ ~ ( b48_buttercup10111 @ sK117_X23 ) )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK114_X19 )
                                                | ~ ( k04_buttercup10619 @ sK114_X19 ) )
                                          | ~ ( k04_buttercup10619 @ sK115_SY216 ) )
                                    | ~ ~ ( b48_buttercup10111 @ sK115_SY216 ) )
                              | ~ ~ ( k04_buttercup10619 @ sK116_SY218 ) )
                        | ~ ( b48_buttercup10111 @ sK116_SY218 ) ) ) )
          | ~ ~ ( ~ ( ! [SX0: $i] :
                        ( ~ ( k04_buttercup10619 @ SX0 )
                        | ~ ( b48_buttercup10111 @ SX0 ) )
                    | ~ ( ~ ( b48_buttercup10111 @ sK113_X25 )
                        | ~ ~ ( k04_buttercup10619 @ sK113_X25 ) )
                    | ! [SX0: $i] :
                        ( ~ ( b48_buttercup10111 @ SX0 )
                        | ( k04_buttercup10619 @ SX0 ) )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK110_X19 )
                                                | ~ ( k04_buttercup10619 @ sK110_X19 ) )
                                          | ~ ( k04_buttercup10619 @ sK111_SY213 ) )
                                    | ~ ~ ( b48_buttercup10111 @ sK111_SY213 ) )
                              | ~ ~ ( k04_buttercup10619 @ sK112_SY215 ) )
                        | ~ ( b48_buttercup10111 @ sK112_SY215 ) ) )
                | ~ ( ! [SX0: $i] :
                        ( ~ ( k04_buttercup10619 @ SX0 )
                        | ~ ( b48_buttercup10111 @ SX0 ) )
                    | ~ ( ~ ( b48_buttercup10111 @ sK109_X25 )
                        | ~ ~ ( k04_buttercup10619 @ sK109_X25 ) )
                    | ~ ( ~ ( k04_buttercup10619 @ sK108_X23 )
                        | ~ ~ ( b48_buttercup10111 @ sK108_X23 ) )
                    | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                                                | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                                          | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
                                    | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) )
                              | ~ ~ ( k04_buttercup10619 @ sK107_SY212 ) )
                        | ~ ( b48_buttercup10111 @ sK107_SY212 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[272]) ).

thf(364,plain,
    ! [SV1: $i] :
      ( ( ~ ( k04_buttercup10620 @ SV1 )
        | ( k04_buttercup10619 @ SV1 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[261]) ).

thf(365,plain,
    ! [SV2: $i] :
      ( ( ~ ( k04_buttercup10622 @ SV2 )
        | ( k04_buttercup10619 @ SV2 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[262]) ).

thf(366,plain,
    ! [SV3: $i] :
      ( ( ~ ( b48_buttercup10102 @ SV3 )
        | ( b48_buttercup10098 @ SV3 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[263]) ).

thf(367,plain,
    ! [SV4: $i] :
      ( ( ~ ( b48_buttercup10104 @ SV4 )
        | ( b48_buttercup10098 @ SV4 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[264]) ).

thf(368,plain,
    ! [SV5: $i] :
      ( ( ~ ( b48_buttercup10107 @ SV5 )
        | ( b48_buttercup10098 @ SV5 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[265]) ).

thf(369,plain,
    ! [SV6: $i] :
      ( ( ~ ( b48_buttercup10108 @ SV6 )
        | ( b48_buttercup10098 @ SV6 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[266]) ).

thf(370,plain,
    ! [SV7: $i] :
      ( ( ~ ( b48_buttercup10109 @ SV7 )
        | ( b48_buttercup10098 @ SV7 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[267]) ).

thf(371,plain,
    ! [SV8: $i] :
      ( ( ~ ( b48_buttercup10110 @ SV8 )
        | ( b48_buttercup10098 @ SV8 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[268]) ).

thf(372,plain,
    ! [SV9: $i] :
      ( ( ~ ( b48_buttercup10111 @ SV9 )
        | ( b48_buttercup10098 @ SV9 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[269]) ).

thf(373,plain,
    ! [SV10: $i] :
      ( ( ~ ( k04_buttercup10100 @ SV10 )
        | ~ ( k04_buttercup10619 @ SV10 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[298]) ).

thf(374,plain,
    ! [SV11: $i] :
      ( ( ~ ( k04_buttercup10620 @ SV11 )
        | ~ ( k04_buttercup10622 @ SV11 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[299]) ).

thf(375,plain,
    ! [SV12: $i] :
      ( ( ~ ( k04_buttercup10622 @ SV12 )
        | ~ ( k04_buttercup10620 @ SV12 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[300]) ).

thf(376,plain,
    ! [SV13: $i] :
      ( ( ~ ( k04_buttercup10619 @ SV13 )
        | ~ ( k04_buttercup10100 @ SV13 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[301]) ).

thf(377,plain,
    ! [SV14: $i] :
      ( ( ~ ( b48_buttercup10102 @ SV14 )
        | ~ ( b48_buttercup10104 @ SV14 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[302]) ).

thf(378,plain,
    ! [SV15: $i] :
      ( ( ~ ( b48_buttercup10102 @ SV15 )
        | ~ ( b48_buttercup10107 @ SV15 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[303]) ).

thf(379,plain,
    ! [SV16: $i] :
      ( ( ~ ( b48_buttercup10102 @ SV16 )
        | ~ ( b48_buttercup10108 @ SV16 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[304]) ).

thf(380,plain,
    ! [SV17: $i] :
      ( ( ~ ( b48_buttercup10102 @ SV17 )
        | ~ ( b48_buttercup10109 @ SV17 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[305]) ).

thf(381,plain,
    ! [SV18: $i] :
      ( ( ~ ( b48_buttercup10102 @ SV18 )
        | ~ ( b48_buttercup10110 @ SV18 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[306]) ).

thf(382,plain,
    ! [SV19: $i] :
      ( ( ~ ( b48_buttercup10102 @ SV19 )
        | ~ ( b48_buttercup10111 @ SV19 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[307]) ).

thf(383,plain,
    ! [SV20: $i] :
      ( ( ~ ( b48_buttercup10104 @ SV20 )
        | ~ ( b48_buttercup10102 @ SV20 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[308]) ).

thf(384,plain,
    ! [SV21: $i] :
      ( ( ~ ( b48_buttercup10104 @ SV21 )
        | ~ ( b48_buttercup10107 @ SV21 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[309]) ).

thf(385,plain,
    ! [SV22: $i] :
      ( ( ~ ( b48_buttercup10104 @ SV22 )
        | ~ ( b48_buttercup10108 @ SV22 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[310]) ).

thf(386,plain,
    ! [SV23: $i] :
      ( ( ~ ( b48_buttercup10104 @ SV23 )
        | ~ ( b48_buttercup10109 @ SV23 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[311]) ).

thf(387,plain,
    ! [SV24: $i] :
      ( ( ~ ( b48_buttercup10104 @ SV24 )
        | ~ ( b48_buttercup10110 @ SV24 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[312]) ).

thf(388,plain,
    ! [SV25: $i] :
      ( ( ~ ( b48_buttercup10104 @ SV25 )
        | ~ ( b48_buttercup10111 @ SV25 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[313]) ).

thf(389,plain,
    ! [SV26: $i] :
      ( ( ~ ( b48_buttercup10107 @ SV26 )
        | ~ ( b48_buttercup10102 @ SV26 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[314]) ).

thf(390,plain,
    ! [SV27: $i] :
      ( ( ~ ( b48_buttercup10107 @ SV27 )
        | ~ ( b48_buttercup10104 @ SV27 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[315]) ).

thf(391,plain,
    ! [SV28: $i] :
      ( ( ~ ( b48_buttercup10107 @ SV28 )
        | ~ ( b48_buttercup10108 @ SV28 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[316]) ).

thf(392,plain,
    ! [SV29: $i] :
      ( ( ~ ( b48_buttercup10107 @ SV29 )
        | ~ ( b48_buttercup10109 @ SV29 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[317]) ).

thf(393,plain,
    ! [SV30: $i] :
      ( ( ~ ( b48_buttercup10107 @ SV30 )
        | ~ ( b48_buttercup10110 @ SV30 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[318]) ).

thf(394,plain,
    ! [SV31: $i] :
      ( ( ~ ( b48_buttercup10107 @ SV31 )
        | ~ ( b48_buttercup10111 @ SV31 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[319]) ).

thf(395,plain,
    ! [SV32: $i] :
      ( ( ~ ( b48_buttercup10108 @ SV32 )
        | ~ ( b48_buttercup10102 @ SV32 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[320]) ).

thf(396,plain,
    ! [SV33: $i] :
      ( ( ~ ( b48_buttercup10108 @ SV33 )
        | ~ ( b48_buttercup10104 @ SV33 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[321]) ).

thf(397,plain,
    ! [SV34: $i] :
      ( ( ~ ( b48_buttercup10108 @ SV34 )
        | ~ ( b48_buttercup10107 @ SV34 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[322]) ).

thf(398,plain,
    ! [SV35: $i] :
      ( ( ~ ( b48_buttercup10108 @ SV35 )
        | ~ ( b48_buttercup10109 @ SV35 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[323]) ).

thf(399,plain,
    ! [SV36: $i] :
      ( ( ~ ( b48_buttercup10108 @ SV36 )
        | ~ ( b48_buttercup10110 @ SV36 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[324]) ).

thf(400,plain,
    ! [SV37: $i] :
      ( ( ~ ( b48_buttercup10108 @ SV37 )
        | ~ ( b48_buttercup10111 @ SV37 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[325]) ).

thf(401,plain,
    ! [SV38: $i] :
      ( ( ~ ( b48_buttercup10109 @ SV38 )
        | ~ ( b48_buttercup10102 @ SV38 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[326]) ).

thf(402,plain,
    ! [SV39: $i] :
      ( ( ~ ( b48_buttercup10109 @ SV39 )
        | ~ ( b48_buttercup10104 @ SV39 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[327]) ).

thf(403,plain,
    ! [SV40: $i] :
      ( ( ~ ( b48_buttercup10109 @ SV40 )
        | ~ ( b48_buttercup10107 @ SV40 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[328]) ).

thf(404,plain,
    ! [SV41: $i] :
      ( ( ~ ( b48_buttercup10109 @ SV41 )
        | ~ ( b48_buttercup10108 @ SV41 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[329]) ).

thf(405,plain,
    ! [SV42: $i] :
      ( ( ~ ( b48_buttercup10109 @ SV42 )
        | ~ ( b48_buttercup10110 @ SV42 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[330]) ).

thf(406,plain,
    ! [SV43: $i] :
      ( ( ~ ( b48_buttercup10109 @ SV43 )
        | ~ ( b48_buttercup10111 @ SV43 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[331]) ).

thf(407,plain,
    ! [SV44: $i] :
      ( ( ~ ( b48_buttercup10110 @ SV44 )
        | ~ ( b48_buttercup10102 @ SV44 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[332]) ).

thf(408,plain,
    ! [SV45: $i] :
      ( ( ~ ( b48_buttercup10110 @ SV45 )
        | ~ ( b48_buttercup10104 @ SV45 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[333]) ).

thf(409,plain,
    ! [SV46: $i] :
      ( ( ~ ( b48_buttercup10110 @ SV46 )
        | ~ ( b48_buttercup10107 @ SV46 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[334]) ).

thf(410,plain,
    ! [SV47: $i] :
      ( ( ~ ( b48_buttercup10110 @ SV47 )
        | ~ ( b48_buttercup10108 @ SV47 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[335]) ).

thf(411,plain,
    ! [SV48: $i] :
      ( ( ~ ( b48_buttercup10110 @ SV48 )
        | ~ ( b48_buttercup10109 @ SV48 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[336]) ).

thf(412,plain,
    ! [SV49: $i] :
      ( ( ~ ( b48_buttercup10110 @ SV49 )
        | ~ ( b48_buttercup10111 @ SV49 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[337]) ).

thf(413,plain,
    ! [SV50: $i] :
      ( ( ~ ( b48_buttercup10111 @ SV50 )
        | ~ ( b48_buttercup10102 @ SV50 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[338]) ).

thf(414,plain,
    ! [SV51: $i] :
      ( ( ~ ( b48_buttercup10111 @ SV51 )
        | ~ ( b48_buttercup10104 @ SV51 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[339]) ).

thf(415,plain,
    ! [SV52: $i] :
      ( ( ~ ( b48_buttercup10111 @ SV52 )
        | ~ ( b48_buttercup10107 @ SV52 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[340]) ).

thf(416,plain,
    ! [SV53: $i] :
      ( ( ~ ( b48_buttercup10111 @ SV53 )
        | ~ ( b48_buttercup10108 @ SV53 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[341]) ).

thf(417,plain,
    ! [SV54: $i] :
      ( ( ~ ( b48_buttercup10111 @ SV54 )
        | ~ ( b48_buttercup10109 @ SV54 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[342]) ).

thf(418,plain,
    ! [SV55: $i] :
      ( ( ~ ( b48_buttercup10111 @ SV55 )
        | ~ ( b48_buttercup10110 @ SV55 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[343]) ).

thf(419,plain,
    ! [SV56: $i] :
      ( ( ~ ( k04_buttercup10619 @ SV56 )
        | ( k04_buttercup10620 @ SV56 )
        | ( k04_buttercup10622 @ SV56 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[344]) ).

thf(420,plain,
    ! [SV57: $i] :
      ( ( ~ ( b48_buttercup10098 @ SV57 )
        | ( b48_buttercup10111 @ SV57 )
        | ( b48_buttercup10110 @ SV57 )
        | ( b48_buttercup10109 @ SV57 )
        | ( b48_buttercup10108 @ SV57 )
        | ( b48_buttercup10107 @ SV57 )
        | ( b48_buttercup10102 @ SV57 )
        | ( b48_buttercup10104 @ SV57 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[345]) ).

thf(421,plain,
    ( ( ~ ~ ( ~ ( ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ~ ( b48_buttercup10102 @ SX0 ) )
                | ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ( b48_buttercup10102 @ SX0 ) )
                | ! [SX0: $i] :
                    ( ~ ( b48_buttercup10102 @ SX0 )
                    | ( k04_buttercup10100 @ SX0 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK48_X63 )
                                            | ~ ( k04_buttercup10100 @ sK48_X63 ) )
                                      | ~ ( k04_buttercup10100 @ sK49_SY171 ) )
                                | ~ ~ ( b48_buttercup10102 @ sK49_SY171 ) )
                          | ~ ~ ( k04_buttercup10100 @ sK50_SY173 ) )
                    | ~ ( b48_buttercup10102 @ sK50_SY173 ) ) )
            | ~ ( ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ~ ( b48_buttercup10102 @ SX0 ) )
                | ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ( b48_buttercup10102 @ SX0 ) )
                | ~ ( ~ ( k04_buttercup10100 @ sK47_X67 )
                    | ~ ~ ( b48_buttercup10102 @ sK47_X67 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK44_X63 )
                                            | ~ ( k04_buttercup10100 @ sK44_X63 ) )
                                      | ~ ( k04_buttercup10100 @ sK45_SY168 ) )
                                | ~ ~ ( b48_buttercup10102 @ sK45_SY168 ) )
                          | ~ ~ ( k04_buttercup10100 @ sK46_SY170 ) )
                    | ~ ( b48_buttercup10102 @ sK46_SY170 ) ) ) )
      | ~ ~ ( ~ ( ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ~ ( b48_buttercup10102 @ SX0 ) )
                | ~ ( ~ ( b48_buttercup10102 @ sK43_X69 )
                    | ~ ~ ( k04_buttercup10100 @ sK43_X69 ) )
                | ! [SX0: $i] :
                    ( ~ ( b48_buttercup10102 @ SX0 )
                    | ( k04_buttercup10100 @ SX0 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK40_X63 )
                                            | ~ ( k04_buttercup10100 @ sK40_X63 ) )
                                      | ~ ( k04_buttercup10100 @ sK41_SY165 ) )
                                | ~ ~ ( b48_buttercup10102 @ sK41_SY165 ) )
                          | ~ ~ ( k04_buttercup10100 @ sK42_SY167 ) )
                    | ~ ( b48_buttercup10102 @ sK42_SY167 ) ) )
            | ~ ( ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ~ ( b48_buttercup10102 @ SX0 ) )
                | ~ ( ~ ( b48_buttercup10102 @ sK39_X69 )
                    | ~ ~ ( k04_buttercup10100 @ sK39_X69 ) )
                | ~ ( ~ ( k04_buttercup10100 @ sK38_X67 )
                    | ~ ~ ( b48_buttercup10102 @ sK38_X67 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                                            | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                                      | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
                                | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) )
                          | ~ ~ ( k04_buttercup10100 @ sK37_SY164 ) )
                    | ~ ( b48_buttercup10102 @ sK37_SY164 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[347]) ).

thf(422,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( b48_buttercup10104 @ SX0 )
            | ( k04_buttercup10622 @ SX0 ) )
      | ~ ~ ( ~ ( k04_buttercup10622 @ sK54_X56 )
            | ~ ~ ( b48_buttercup10104 @ sK54_X56 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[348]) ).

thf(423,plain,
    ( ( ~ ~ ( ~ ( k04_buttercup10100 @ sK3_X149 )
            | ~ ( b48_buttercup10098 @ sK3_X149 ) )
      | ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
                  ( ~ ( b48_buttercup10098 @ SX0 )
                  | ~ ( k04_buttercup10100 @ SX0 )
                  | ~ ( k04_buttercup10100 @ SX1 )
                  | ( b48_buttercup10098 @ SX1 )
                  | ( k04_buttercup10100 @ SX2 )
                  | ~ ( b48_buttercup10098 @ SX2 ) )
            | ~ ~ ( ~ ~ ( ~ ( sK5_REN
                            | ! [SX0: $i] :
                                ( ~ ( k04_buttercup10100 @ SX0 )
                                | ( b48_buttercup10098 @ SX0 ) ) )
                        | ~ ( ~ sK5_REN
                            | ~ ( ~ ( b48_buttercup10098 @ sK2_X142 )
                                | ~ ~ ( k04_buttercup10100 @ sK2_X142 ) ) ) )
                  | ~ ~ ( ~ ( sK4_REN
                            | ! [SX0: $i] :
                                ( ~ ( b48_buttercup10098 @ SX0 )
                                | ( k04_buttercup10100 @ SX0 ) ) )
                        | ~ ( ~ sK4_REN
                            | ~ ( ~ ( k04_buttercup10100 @ sK1_X144 )
                                | ~ ~ ( b48_buttercup10098 @ sK1_X144 ) ) ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[349]) ).

thf(424,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( b48_buttercup10107 @ SX0 )
            | ( k04_buttercup10620 @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( k04_buttercup10620 @ SX0 )
            | ( b48_buttercup10107 @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[350]) ).

thf(425,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( k04_buttercup10100 @ SX0 )
            | ( b48_buttercup10098 @ SX0 ) )
      | ~ ~ ( ~ ( b48_buttercup10098 @ sK51_X62 )
            | ~ ~ ( k04_buttercup10100 @ sK51_X62 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[351]) ).

thf(426,plain,
    ( ( ~ ~ ( ~ ( ! [SX0: $i] :
                    ( ~ ( k04_buttercup10619 @ SX0 )
                    | ~ ( b48_buttercup10109 @ SX0 ) )
                | ! [SX0: $i] :
                    ( ~ ( k04_buttercup10619 @ SX0 )
                    | ( b48_buttercup10109 @ SX0 ) )
                | ! [SX0: $i] :
                    ( ~ ( b48_buttercup10109 @ SX0 )
                    | ( k04_buttercup10619 @ SX0 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK101_X29 )
                                            | ~ ( k04_buttercup10619 @ sK101_X29 ) )
                                      | ~ ( k04_buttercup10619 @ sK102_SY207 ) )
                                | ~ ~ ( b48_buttercup10109 @ sK102_SY207 ) )
                          | ~ ~ ( k04_buttercup10619 @ sK103_SY209 ) )
                    | ~ ( b48_buttercup10109 @ sK103_SY209 ) ) )
            | ~ ( ! [SX0: $i] :
                    ( ~ ( k04_buttercup10619 @ SX0 )
                    | ~ ( b48_buttercup10109 @ SX0 ) )
                | ! [SX0: $i] :
                    ( ~ ( k04_buttercup10619 @ SX0 )
                    | ( b48_buttercup10109 @ SX0 ) )
                | ~ ( ~ ( k04_buttercup10619 @ sK100_X33 )
                    | ~ ~ ( b48_buttercup10109 @ sK100_X33 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK97_X29 )
                                            | ~ ( k04_buttercup10619 @ sK97_X29 ) )
                                      | ~ ( k04_buttercup10619 @ sK98_SY204 ) )
                                | ~ ~ ( b48_buttercup10109 @ sK98_SY204 ) )
                          | ~ ~ ( k04_buttercup10619 @ sK99_SY206 ) )
                    | ~ ( b48_buttercup10109 @ sK99_SY206 ) ) ) )
      | ~ ~ ( ~ ( ! [SX0: $i] :
                    ( ~ ( k04_buttercup10619 @ SX0 )
                    | ~ ( b48_buttercup10109 @ SX0 ) )
                | ~ ( ~ ( b48_buttercup10109 @ sK96_X35 )
                    | ~ ~ ( k04_buttercup10619 @ sK96_X35 ) )
                | ! [SX0: $i] :
                    ( ~ ( b48_buttercup10109 @ SX0 )
                    | ( k04_buttercup10619 @ SX0 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK93_X29 )
                                            | ~ ( k04_buttercup10619 @ sK93_X29 ) )
                                      | ~ ( k04_buttercup10619 @ sK94_SY201 ) )
                                | ~ ~ ( b48_buttercup10109 @ sK94_SY201 ) )
                          | ~ ~ ( k04_buttercup10619 @ sK95_SY203 ) )
                    | ~ ( b48_buttercup10109 @ sK95_SY203 ) ) )
            | ~ ( ! [SX0: $i] :
                    ( ~ ( k04_buttercup10619 @ SX0 )
                    | ~ ( b48_buttercup10109 @ SX0 ) )
                | ~ ( ~ ( b48_buttercup10109 @ sK92_X35 )
                    | ~ ~ ( k04_buttercup10619 @ sK92_X35 ) )
                | ~ ( ~ ( k04_buttercup10619 @ sK91_X33 )
                    | ~ ~ ( b48_buttercup10109 @ sK91_X33 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                                            | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                                      | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
                                | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) )
                          | ~ ~ ( k04_buttercup10619 @ sK90_SY200 ) )
                    | ~ ( b48_buttercup10109 @ sK90_SY200 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[352]) ).

thf(427,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( b48_buttercup10109 @ SX0 )
            | ( k04_buttercup10100 @ SX0 ) )
      | ~ ~ ( ~ ( k04_buttercup10100 @ sK121_X18 )
            | ~ ~ ( b48_buttercup10109 @ sK121_X18 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[353]) ).

thf(428,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( b48_buttercup10111 @ SX0 )
            | ( k04_buttercup10100 @ SX0 ) )
      | ~ ~ ( ~ ( k04_buttercup10100 @ sK87_X38 )
            | ~ ~ ( b48_buttercup10111 @ sK87_X38 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[354]) ).

thf(429,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( b48_buttercup10102 @ SX0 )
            | ( k04_buttercup10622 @ SX0 ) )
      | ~ ~ ( ~ ( k04_buttercup10622 @ sK34_X72 )
            | ~ ~ ( b48_buttercup10102 @ sK34_X72 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[355]) ).

thf(430,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( k04_buttercup10619 @ SX0 )
            | ( b48_buttercup10098 @ SX0 ) )
      | ~ ~ ( ~ ( b48_buttercup10098 @ sK104_X28 )
            | ~ ~ ( k04_buttercup10619 @ sK104_X28 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[356]) ).

thf(431,plain,
    ( ( ~ ~ ( ~ ( ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ~ ( b48_buttercup10107 @ SX0 ) )
                | ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ( b48_buttercup10107 @ SX0 ) )
                | ! [SX0: $i] :
                    ( ~ ( b48_buttercup10107 @ SX0 )
                    | ( k04_buttercup10100 @ SX0 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK31_X74 )
                                            | ~ ( k04_buttercup10100 @ sK31_X74 ) )
                                      | ~ ( k04_buttercup10100 @ sK32_SY159 ) )
                                | ~ ~ ( b48_buttercup10107 @ sK32_SY159 ) )
                          | ~ ~ ( k04_buttercup10100 @ sK33_SY161 ) )
                    | ~ ( b48_buttercup10107 @ sK33_SY161 ) ) )
            | ~ ( ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ~ ( b48_buttercup10107 @ SX0 ) )
                | ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ( b48_buttercup10107 @ SX0 ) )
                | ~ ( ~ ( k04_buttercup10100 @ sK30_X78 )
                    | ~ ~ ( b48_buttercup10107 @ sK30_X78 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK27_X74 )
                                            | ~ ( k04_buttercup10100 @ sK27_X74 ) )
                                      | ~ ( k04_buttercup10100 @ sK28_SY156 ) )
                                | ~ ~ ( b48_buttercup10107 @ sK28_SY156 ) )
                          | ~ ~ ( k04_buttercup10100 @ sK29_SY158 ) )
                    | ~ ( b48_buttercup10107 @ sK29_SY158 ) ) ) )
      | ~ ~ ( ~ ( ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ~ ( b48_buttercup10107 @ SX0 ) )
                | ~ ( ~ ( b48_buttercup10107 @ sK26_X80 )
                    | ~ ~ ( k04_buttercup10100 @ sK26_X80 ) )
                | ! [SX0: $i] :
                    ( ~ ( b48_buttercup10107 @ SX0 )
                    | ( k04_buttercup10100 @ SX0 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK23_X74 )
                                            | ~ ( k04_buttercup10100 @ sK23_X74 ) )
                                      | ~ ( k04_buttercup10100 @ sK24_SY153 ) )
                                | ~ ~ ( b48_buttercup10107 @ sK24_SY153 ) )
                          | ~ ~ ( k04_buttercup10100 @ sK25_SY155 ) )
                    | ~ ( b48_buttercup10107 @ sK25_SY155 ) ) )
            | ~ ( ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ~ ( b48_buttercup10107 @ SX0 ) )
                | ~ ( ~ ( b48_buttercup10107 @ sK22_X80 )
                    | ~ ~ ( k04_buttercup10100 @ sK22_X80 ) )
                | ~ ( ~ ( k04_buttercup10100 @ sK21_X78 )
                    | ~ ~ ( b48_buttercup10107 @ sK21_X78 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                                            | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                                      | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
                                | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) )
                          | ~ ~ ( k04_buttercup10100 @ sK20_SY152 ) )
                    | ~ ( b48_buttercup10107 @ sK20_SY152 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[357]) ).

thf(432,plain,
    ( ( ~ ~ ( ~ ( ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ~ ( b48_buttercup10104 @ SX0 ) )
                | ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ( b48_buttercup10104 @ SX0 ) )
                | ! [SX0: $i] :
                    ( ~ ( b48_buttercup10104 @ SX0 )
                    | ( k04_buttercup10100 @ SX0 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK135_X9 )
                                            | ~ ( k04_buttercup10100 @ sK135_X9 ) )
                                      | ~ ( k04_buttercup10100 @ sK136_SY231 ) )
                                | ~ ~ ( b48_buttercup10104 @ sK136_SY231 ) )
                          | ~ ~ ( k04_buttercup10100 @ sK137_SY233 ) )
                    | ~ ( b48_buttercup10104 @ sK137_SY233 ) ) )
            | ~ ( ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ~ ( b48_buttercup10104 @ SX0 ) )
                | ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ( b48_buttercup10104 @ SX0 ) )
                | ~ ( ~ ( k04_buttercup10100 @ sK134_X13 )
                    | ~ ~ ( b48_buttercup10104 @ sK134_X13 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK131_X9 )
                                            | ~ ( k04_buttercup10100 @ sK131_X9 ) )
                                      | ~ ( k04_buttercup10100 @ sK132_SY228 ) )
                                | ~ ~ ( b48_buttercup10104 @ sK132_SY228 ) )
                          | ~ ~ ( k04_buttercup10100 @ sK133_SY230 ) )
                    | ~ ( b48_buttercup10104 @ sK133_SY230 ) ) ) )
      | ~ ~ ( ~ ( ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ~ ( b48_buttercup10104 @ SX0 ) )
                | ~ ( ~ ( b48_buttercup10104 @ sK130_X15 )
                    | ~ ~ ( k04_buttercup10100 @ sK130_X15 ) )
                | ! [SX0: $i] :
                    ( ~ ( b48_buttercup10104 @ SX0 )
                    | ( k04_buttercup10100 @ SX0 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK127_X9 )
                                            | ~ ( k04_buttercup10100 @ sK127_X9 ) )
                                      | ~ ( k04_buttercup10100 @ sK128_SY225 ) )
                                | ~ ~ ( b48_buttercup10104 @ sK128_SY225 ) )
                          | ~ ~ ( k04_buttercup10100 @ sK129_SY227 ) )
                    | ~ ( b48_buttercup10104 @ sK129_SY227 ) ) )
            | ~ ( ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ~ ( b48_buttercup10104 @ SX0 ) )
                | ~ ( ~ ( b48_buttercup10104 @ sK126_X15 )
                    | ~ ~ ( k04_buttercup10100 @ sK126_X15 ) )
                | ~ ( ~ ( k04_buttercup10100 @ sK125_X13 )
                    | ~ ~ ( b48_buttercup10104 @ sK125_X13 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                                            | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                                      | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
                                | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) )
                          | ~ ~ ( k04_buttercup10100 @ sK124_SY224 ) )
                    | ~ ( b48_buttercup10104 @ sK124_SY224 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[358]) ).

thf(433,plain,
    ( ( ~ ~ ( ~ ( ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ~ ( b48_buttercup10110 @ SX0 ) )
                | ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ( b48_buttercup10110 @ SX0 ) )
                | ! [SX0: $i] :
                    ( ~ ( b48_buttercup10110 @ SX0 )
                    | ( k04_buttercup10100 @ SX0 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK68_X47 )
                                            | ~ ( k04_buttercup10100 @ sK68_X47 ) )
                                      | ~ ( k04_buttercup10100 @ sK69_SY183 ) )
                                | ~ ~ ( b48_buttercup10110 @ sK69_SY183 ) )
                          | ~ ~ ( k04_buttercup10100 @ sK70_SY185 ) )
                    | ~ ( b48_buttercup10110 @ sK70_SY185 ) ) )
            | ~ ( ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ~ ( b48_buttercup10110 @ SX0 ) )
                | ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ( b48_buttercup10110 @ SX0 ) )
                | ~ ( ~ ( k04_buttercup10100 @ sK67_X51 )
                    | ~ ~ ( b48_buttercup10110 @ sK67_X51 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK64_X47 )
                                            | ~ ( k04_buttercup10100 @ sK64_X47 ) )
                                      | ~ ( k04_buttercup10100 @ sK65_SY180 ) )
                                | ~ ~ ( b48_buttercup10110 @ sK65_SY180 ) )
                          | ~ ~ ( k04_buttercup10100 @ sK66_SY182 ) )
                    | ~ ( b48_buttercup10110 @ sK66_SY182 ) ) ) )
      | ~ ~ ( ~ ( ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ~ ( b48_buttercup10110 @ SX0 ) )
                | ~ ( ~ ( b48_buttercup10110 @ sK63_X53 )
                    | ~ ~ ( k04_buttercup10100 @ sK63_X53 ) )
                | ! [SX0: $i] :
                    ( ~ ( b48_buttercup10110 @ SX0 )
                    | ( k04_buttercup10100 @ SX0 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK60_X47 )
                                            | ~ ( k04_buttercup10100 @ sK60_X47 ) )
                                      | ~ ( k04_buttercup10100 @ sK61_SY177 ) )
                                | ~ ~ ( b48_buttercup10110 @ sK61_SY177 ) )
                          | ~ ~ ( k04_buttercup10100 @ sK62_SY179 ) )
                    | ~ ( b48_buttercup10110 @ sK62_SY179 ) ) )
            | ~ ( ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ~ ( b48_buttercup10110 @ SX0 ) )
                | ~ ( ~ ( b48_buttercup10110 @ sK59_X53 )
                    | ~ ~ ( k04_buttercup10100 @ sK59_X53 ) )
                | ~ ( ~ ( k04_buttercup10100 @ sK58_X51 )
                    | ~ ~ ( b48_buttercup10110 @ sK58_X51 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                                            | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                                      | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
                                | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) )
                          | ~ ~ ( k04_buttercup10100 @ sK57_SY176 ) )
                    | ~ ( b48_buttercup10110 @ sK57_SY176 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[359]) ).

thf(434,plain,
    ( ( ~ ~ ( ~ ( ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ~ ( b48_buttercup10108 @ SX0 ) )
                | ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ( b48_buttercup10108 @ SX0 ) )
                | ! [SX0: $i] :
                    ( ~ ( b48_buttercup10108 @ SX0 )
                    | ( k04_buttercup10100 @ SX0 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK84_X39 )
                                            | ~ ( k04_buttercup10100 @ sK84_X39 ) )
                                      | ~ ( k04_buttercup10100 @ sK85_SY195 ) )
                                | ~ ~ ( b48_buttercup10108 @ sK85_SY195 ) )
                          | ~ ~ ( k04_buttercup10100 @ sK86_SY197 ) )
                    | ~ ( b48_buttercup10108 @ sK86_SY197 ) ) )
            | ~ ( ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ~ ( b48_buttercup10108 @ SX0 ) )
                | ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ( b48_buttercup10108 @ SX0 ) )
                | ~ ( ~ ( k04_buttercup10100 @ sK83_X43 )
                    | ~ ~ ( b48_buttercup10108 @ sK83_X43 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK80_X39 )
                                            | ~ ( k04_buttercup10100 @ sK80_X39 ) )
                                      | ~ ( k04_buttercup10100 @ sK81_SY192 ) )
                                | ~ ~ ( b48_buttercup10108 @ sK81_SY192 ) )
                          | ~ ~ ( k04_buttercup10100 @ sK82_SY194 ) )
                    | ~ ( b48_buttercup10108 @ sK82_SY194 ) ) ) )
      | ~ ~ ( ~ ( ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ~ ( b48_buttercup10108 @ SX0 ) )
                | ~ ( ~ ( b48_buttercup10108 @ sK79_X45 )
                    | ~ ~ ( k04_buttercup10100 @ sK79_X45 ) )
                | ! [SX0: $i] :
                    ( ~ ( b48_buttercup10108 @ SX0 )
                    | ( k04_buttercup10100 @ SX0 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK76_X39 )
                                            | ~ ( k04_buttercup10100 @ sK76_X39 ) )
                                      | ~ ( k04_buttercup10100 @ sK77_SY189 ) )
                                | ~ ~ ( b48_buttercup10108 @ sK77_SY189 ) )
                          | ~ ~ ( k04_buttercup10100 @ sK78_SY191 ) )
                    | ~ ( b48_buttercup10108 @ sK78_SY191 ) ) )
            | ~ ( ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ~ ( b48_buttercup10108 @ SX0 ) )
                | ~ ( ~ ( b48_buttercup10108 @ sK75_X45 )
                    | ~ ~ ( k04_buttercup10100 @ sK75_X45 ) )
                | ~ ( ~ ( k04_buttercup10100 @ sK74_X43 )
                    | ~ ~ ( b48_buttercup10108 @ sK74_X43 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                                            | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                                      | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
                                | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) )
                          | ~ ~ ( k04_buttercup10100 @ sK73_SY188 ) )
                    | ~ ( b48_buttercup10108 @ sK73_SY188 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[360]) ).

thf(435,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( b48_buttercup10108 @ SX0 )
            | ( k04_buttercup10622 @ SX0 ) )
      | ~ ~ ( ~ ( k04_buttercup10622 @ sK52_X60 )
            | ~ ~ ( b48_buttercup10108 @ sK52_X60 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[361]) ).

thf(436,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( b48_buttercup10110 @ SX0 )
            | ( k04_buttercup10622 @ SX0 ) )
      | ~ ~ ( ~ ( k04_buttercup10622 @ sK53_X58 )
            | ~ ~ ( b48_buttercup10110 @ sK53_X58 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[362]) ).

thf(437,plain,
    ( ( ~ ~ ( ~ ( ! [SX0: $i] :
                    ( ~ ( k04_buttercup10619 @ SX0 )
                    | ~ ( b48_buttercup10111 @ SX0 ) )
                | ! [SX0: $i] :
                    ( ~ ( k04_buttercup10619 @ SX0 )
                    | ( b48_buttercup10111 @ SX0 ) )
                | ! [SX0: $i] :
                    ( ~ ( b48_buttercup10111 @ SX0 )
                    | ( k04_buttercup10619 @ SX0 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK118_X19 )
                                            | ~ ( k04_buttercup10619 @ sK118_X19 ) )
                                      | ~ ( k04_buttercup10619 @ sK119_SY219 ) )
                                | ~ ~ ( b48_buttercup10111 @ sK119_SY219 ) )
                          | ~ ~ ( k04_buttercup10619 @ sK120_SY221 ) )
                    | ~ ( b48_buttercup10111 @ sK120_SY221 ) ) )
            | ~ ( ! [SX0: $i] :
                    ( ~ ( k04_buttercup10619 @ SX0 )
                    | ~ ( b48_buttercup10111 @ SX0 ) )
                | ! [SX0: $i] :
                    ( ~ ( k04_buttercup10619 @ SX0 )
                    | ( b48_buttercup10111 @ SX0 ) )
                | ~ ( ~ ( k04_buttercup10619 @ sK117_X23 )
                    | ~ ~ ( b48_buttercup10111 @ sK117_X23 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK114_X19 )
                                            | ~ ( k04_buttercup10619 @ sK114_X19 ) )
                                      | ~ ( k04_buttercup10619 @ sK115_SY216 ) )
                                | ~ ~ ( b48_buttercup10111 @ sK115_SY216 ) )
                          | ~ ~ ( k04_buttercup10619 @ sK116_SY218 ) )
                    | ~ ( b48_buttercup10111 @ sK116_SY218 ) ) ) )
      | ~ ~ ( ~ ( ! [SX0: $i] :
                    ( ~ ( k04_buttercup10619 @ SX0 )
                    | ~ ( b48_buttercup10111 @ SX0 ) )
                | ~ ( ~ ( b48_buttercup10111 @ sK113_X25 )
                    | ~ ~ ( k04_buttercup10619 @ sK113_X25 ) )
                | ! [SX0: $i] :
                    ( ~ ( b48_buttercup10111 @ SX0 )
                    | ( k04_buttercup10619 @ SX0 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK110_X19 )
                                            | ~ ( k04_buttercup10619 @ sK110_X19 ) )
                                      | ~ ( k04_buttercup10619 @ sK111_SY213 ) )
                                | ~ ~ ( b48_buttercup10111 @ sK111_SY213 ) )
                          | ~ ~ ( k04_buttercup10619 @ sK112_SY215 ) )
                    | ~ ( b48_buttercup10111 @ sK112_SY215 ) ) )
            | ~ ( ! [SX0: $i] :
                    ( ~ ( k04_buttercup10619 @ SX0 )
                    | ~ ( b48_buttercup10111 @ SX0 ) )
                | ~ ( ~ ( b48_buttercup10111 @ sK109_X25 )
                    | ~ ~ ( k04_buttercup10619 @ sK109_X25 ) )
                | ~ ( ~ ( k04_buttercup10619 @ sK108_X23 )
                    | ~ ~ ( b48_buttercup10111 @ sK108_X23 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                                            | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                                      | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
                                | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) )
                          | ~ ~ ( k04_buttercup10619 @ sK107_SY212 ) )
                    | ~ ( b48_buttercup10111 @ sK107_SY212 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[363]) ).

thf(438,plain,
    ! [SV1: $i] :
      ( ( ( ~ ( k04_buttercup10620 @ SV1 ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV1 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[364]) ).

thf(439,plain,
    ! [SV2: $i] :
      ( ( ( ~ ( k04_buttercup10622 @ SV2 ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV2 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[365]) ).

thf(440,plain,
    ! [SV3: $i] :
      ( ( ( ~ ( b48_buttercup10102 @ SV3 ) )
        = $true )
      | ( ( b48_buttercup10098 @ SV3 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[366]) ).

thf(441,plain,
    ! [SV4: $i] :
      ( ( ( ~ ( b48_buttercup10104 @ SV4 ) )
        = $true )
      | ( ( b48_buttercup10098 @ SV4 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[367]) ).

thf(442,plain,
    ! [SV5: $i] :
      ( ( ( ~ ( b48_buttercup10107 @ SV5 ) )
        = $true )
      | ( ( b48_buttercup10098 @ SV5 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[368]) ).

thf(443,plain,
    ! [SV6: $i] :
      ( ( ( ~ ( b48_buttercup10108 @ SV6 ) )
        = $true )
      | ( ( b48_buttercup10098 @ SV6 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[369]) ).

thf(444,plain,
    ! [SV7: $i] :
      ( ( ( ~ ( b48_buttercup10109 @ SV7 ) )
        = $true )
      | ( ( b48_buttercup10098 @ SV7 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[370]) ).

thf(445,plain,
    ! [SV8: $i] :
      ( ( ( ~ ( b48_buttercup10110 @ SV8 ) )
        = $true )
      | ( ( b48_buttercup10098 @ SV8 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[371]) ).

thf(446,plain,
    ! [SV9: $i] :
      ( ( ( ~ ( b48_buttercup10111 @ SV9 ) )
        = $true )
      | ( ( b48_buttercup10098 @ SV9 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[372]) ).

thf(447,plain,
    ! [SV10: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV10 ) )
        = $true )
      | ( ( ~ ( k04_buttercup10619 @ SV10 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[373]) ).

thf(448,plain,
    ! [SV11: $i] :
      ( ( ( ~ ( k04_buttercup10620 @ SV11 ) )
        = $true )
      | ( ( ~ ( k04_buttercup10622 @ SV11 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[374]) ).

thf(449,plain,
    ! [SV12: $i] :
      ( ( ( ~ ( k04_buttercup10622 @ SV12 ) )
        = $true )
      | ( ( ~ ( k04_buttercup10620 @ SV12 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[375]) ).

thf(450,plain,
    ! [SV13: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ SV13 ) )
        = $true )
      | ( ( ~ ( k04_buttercup10100 @ SV13 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[376]) ).

thf(451,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( b48_buttercup10102 @ SV14 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10104 @ SV14 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[377]) ).

thf(452,plain,
    ! [SV15: $i] :
      ( ( ( ~ ( b48_buttercup10102 @ SV15 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10107 @ SV15 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[378]) ).

thf(453,plain,
    ! [SV16: $i] :
      ( ( ( ~ ( b48_buttercup10102 @ SV16 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10108 @ SV16 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[379]) ).

thf(454,plain,
    ! [SV17: $i] :
      ( ( ( ~ ( b48_buttercup10102 @ SV17 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10109 @ SV17 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[380]) ).

thf(455,plain,
    ! [SV18: $i] :
      ( ( ( ~ ( b48_buttercup10102 @ SV18 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10110 @ SV18 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[381]) ).

thf(456,plain,
    ! [SV19: $i] :
      ( ( ( ~ ( b48_buttercup10102 @ SV19 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10111 @ SV19 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[382]) ).

thf(457,plain,
    ! [SV20: $i] :
      ( ( ( ~ ( b48_buttercup10104 @ SV20 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10102 @ SV20 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[383]) ).

thf(458,plain,
    ! [SV21: $i] :
      ( ( ( ~ ( b48_buttercup10104 @ SV21 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10107 @ SV21 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[384]) ).

thf(459,plain,
    ! [SV22: $i] :
      ( ( ( ~ ( b48_buttercup10104 @ SV22 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10108 @ SV22 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[385]) ).

thf(460,plain,
    ! [SV23: $i] :
      ( ( ( ~ ( b48_buttercup10104 @ SV23 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10109 @ SV23 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[386]) ).

thf(461,plain,
    ! [SV24: $i] :
      ( ( ( ~ ( b48_buttercup10104 @ SV24 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10110 @ SV24 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[387]) ).

thf(462,plain,
    ! [SV25: $i] :
      ( ( ( ~ ( b48_buttercup10104 @ SV25 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10111 @ SV25 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[388]) ).

thf(463,plain,
    ! [SV26: $i] :
      ( ( ( ~ ( b48_buttercup10107 @ SV26 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10102 @ SV26 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[389]) ).

thf(464,plain,
    ! [SV27: $i] :
      ( ( ( ~ ( b48_buttercup10107 @ SV27 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10104 @ SV27 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[390]) ).

thf(465,plain,
    ! [SV28: $i] :
      ( ( ( ~ ( b48_buttercup10107 @ SV28 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10108 @ SV28 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[391]) ).

thf(466,plain,
    ! [SV29: $i] :
      ( ( ( ~ ( b48_buttercup10107 @ SV29 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10109 @ SV29 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[392]) ).

thf(467,plain,
    ! [SV30: $i] :
      ( ( ( ~ ( b48_buttercup10107 @ SV30 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10110 @ SV30 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[393]) ).

thf(468,plain,
    ! [SV31: $i] :
      ( ( ( ~ ( b48_buttercup10107 @ SV31 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10111 @ SV31 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[394]) ).

thf(469,plain,
    ! [SV32: $i] :
      ( ( ( ~ ( b48_buttercup10108 @ SV32 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10102 @ SV32 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[395]) ).

thf(470,plain,
    ! [SV33: $i] :
      ( ( ( ~ ( b48_buttercup10108 @ SV33 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10104 @ SV33 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[396]) ).

thf(471,plain,
    ! [SV34: $i] :
      ( ( ( ~ ( b48_buttercup10108 @ SV34 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10107 @ SV34 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[397]) ).

thf(472,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( b48_buttercup10108 @ SV35 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10109 @ SV35 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[398]) ).

thf(473,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( b48_buttercup10108 @ SV36 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10110 @ SV36 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[399]) ).

thf(474,plain,
    ! [SV37: $i] :
      ( ( ( ~ ( b48_buttercup10108 @ SV37 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10111 @ SV37 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[400]) ).

thf(475,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( b48_buttercup10109 @ SV38 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10102 @ SV38 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[401]) ).

thf(476,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( b48_buttercup10109 @ SV39 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10104 @ SV39 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[402]) ).

thf(477,plain,
    ! [SV40: $i] :
      ( ( ( ~ ( b48_buttercup10109 @ SV40 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10107 @ SV40 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[403]) ).

thf(478,plain,
    ! [SV41: $i] :
      ( ( ( ~ ( b48_buttercup10109 @ SV41 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10108 @ SV41 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[404]) ).

thf(479,plain,
    ! [SV42: $i] :
      ( ( ( ~ ( b48_buttercup10109 @ SV42 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10110 @ SV42 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[405]) ).

thf(480,plain,
    ! [SV43: $i] :
      ( ( ( ~ ( b48_buttercup10109 @ SV43 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10111 @ SV43 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[406]) ).

thf(481,plain,
    ! [SV44: $i] :
      ( ( ( ~ ( b48_buttercup10110 @ SV44 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10102 @ SV44 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[407]) ).

thf(482,plain,
    ! [SV45: $i] :
      ( ( ( ~ ( b48_buttercup10110 @ SV45 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10104 @ SV45 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[408]) ).

thf(483,plain,
    ! [SV46: $i] :
      ( ( ( ~ ( b48_buttercup10110 @ SV46 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10107 @ SV46 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[409]) ).

thf(484,plain,
    ! [SV47: $i] :
      ( ( ( ~ ( b48_buttercup10110 @ SV47 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10108 @ SV47 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[410]) ).

thf(485,plain,
    ! [SV48: $i] :
      ( ( ( ~ ( b48_buttercup10110 @ SV48 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10109 @ SV48 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[411]) ).

thf(486,plain,
    ! [SV49: $i] :
      ( ( ( ~ ( b48_buttercup10110 @ SV49 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10111 @ SV49 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[412]) ).

thf(487,plain,
    ! [SV50: $i] :
      ( ( ( ~ ( b48_buttercup10111 @ SV50 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10102 @ SV50 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[413]) ).

thf(488,plain,
    ! [SV51: $i] :
      ( ( ( ~ ( b48_buttercup10111 @ SV51 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10104 @ SV51 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[414]) ).

thf(489,plain,
    ! [SV52: $i] :
      ( ( ( ~ ( b48_buttercup10111 @ SV52 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10107 @ SV52 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[415]) ).

thf(490,plain,
    ! [SV53: $i] :
      ( ( ( ~ ( b48_buttercup10111 @ SV53 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10108 @ SV53 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[416]) ).

thf(491,plain,
    ! [SV54: $i] :
      ( ( ( ~ ( b48_buttercup10111 @ SV54 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10109 @ SV54 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[417]) ).

thf(492,plain,
    ! [SV55: $i] :
      ( ( ( ~ ( b48_buttercup10111 @ SV55 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10110 @ SV55 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[418]) ).

thf(493,plain,
    ! [SV56: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ SV56 ) )
        = $true )
      | ( ( ( k04_buttercup10620 @ SV56 )
          | ( k04_buttercup10622 @ SV56 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[419]) ).

thf(494,plain,
    ! [SV57: $i] :
      ( ( ( ~ ( b48_buttercup10098 @ SV57 ) )
        = $true )
      | ( ( ( b48_buttercup10111 @ SV57 )
          | ( b48_buttercup10110 @ SV57 )
          | ( b48_buttercup10109 @ SV57 )
          | ( b48_buttercup10108 @ SV57 )
          | ( b48_buttercup10107 @ SV57 )
          | ( b48_buttercup10102 @ SV57 )
          | ( b48_buttercup10104 @ SV57 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[420]) ).

thf(495,plain,
    ( ( ~ ~ ( ~ ( ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ~ ( b48_buttercup10102 @ SX0 ) )
                | ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ( b48_buttercup10102 @ SX0 ) )
                | ! [SX0: $i] :
                    ( ~ ( b48_buttercup10102 @ SX0 )
                    | ( k04_buttercup10100 @ SX0 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK48_X63 )
                                            | ~ ( k04_buttercup10100 @ sK48_X63 ) )
                                      | ~ ( k04_buttercup10100 @ sK49_SY171 ) )
                                | ~ ~ ( b48_buttercup10102 @ sK49_SY171 ) )
                          | ~ ~ ( k04_buttercup10100 @ sK50_SY173 ) )
                    | ~ ( b48_buttercup10102 @ sK50_SY173 ) ) )
            | ~ ( ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ~ ( b48_buttercup10102 @ SX0 ) )
                | ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ( b48_buttercup10102 @ SX0 ) )
                | ~ ( ~ ( k04_buttercup10100 @ sK47_X67 )
                    | ~ ~ ( b48_buttercup10102 @ sK47_X67 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK44_X63 )
                                            | ~ ( k04_buttercup10100 @ sK44_X63 ) )
                                      | ~ ( k04_buttercup10100 @ sK45_SY168 ) )
                                | ~ ~ ( b48_buttercup10102 @ sK45_SY168 ) )
                          | ~ ~ ( k04_buttercup10100 @ sK46_SY170 ) )
                    | ~ ( b48_buttercup10102 @ sK46_SY170 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[421]) ).

thf(496,plain,
    ( ( ~ ~ ( ~ ( ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ~ ( b48_buttercup10102 @ SX0 ) )
                | ~ ( ~ ( b48_buttercup10102 @ sK43_X69 )
                    | ~ ~ ( k04_buttercup10100 @ sK43_X69 ) )
                | ! [SX0: $i] :
                    ( ~ ( b48_buttercup10102 @ SX0 )
                    | ( k04_buttercup10100 @ SX0 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK40_X63 )
                                            | ~ ( k04_buttercup10100 @ sK40_X63 ) )
                                      | ~ ( k04_buttercup10100 @ sK41_SY165 ) )
                                | ~ ~ ( b48_buttercup10102 @ sK41_SY165 ) )
                          | ~ ~ ( k04_buttercup10100 @ sK42_SY167 ) )
                    | ~ ( b48_buttercup10102 @ sK42_SY167 ) ) )
            | ~ ( ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ~ ( b48_buttercup10102 @ SX0 ) )
                | ~ ( ~ ( b48_buttercup10102 @ sK39_X69 )
                    | ~ ~ ( k04_buttercup10100 @ sK39_X69 ) )
                | ~ ( ~ ( k04_buttercup10100 @ sK38_X67 )
                    | ~ ~ ( b48_buttercup10102 @ sK38_X67 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                                            | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                                      | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
                                | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) )
                          | ~ ~ ( k04_buttercup10100 @ sK37_SY164 ) )
                    | ~ ( b48_buttercup10102 @ sK37_SY164 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[421]) ).

thf(497,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( b48_buttercup10104 @ SX0 )
            | ( k04_buttercup10622 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[422]) ).

thf(498,plain,
    ( ( ~ ~ ( ~ ( k04_buttercup10622 @ sK54_X56 )
            | ~ ~ ( b48_buttercup10104 @ sK54_X56 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[422]) ).

thf(499,plain,
    ( ( ~ ~ ( ~ ( k04_buttercup10100 @ sK3_X149 )
            | ~ ( b48_buttercup10098 @ sK3_X149 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[423]) ).

thf(500,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
                  ( ~ ( b48_buttercup10098 @ SX0 )
                  | ~ ( k04_buttercup10100 @ SX0 )
                  | ~ ( k04_buttercup10100 @ SX1 )
                  | ( b48_buttercup10098 @ SX1 )
                  | ( k04_buttercup10100 @ SX2 )
                  | ~ ( b48_buttercup10098 @ SX2 ) )
            | ~ ~ ( ~ ~ ( ~ ( sK5_REN
                            | ! [SX0: $i] :
                                ( ~ ( k04_buttercup10100 @ SX0 )
                                | ( b48_buttercup10098 @ SX0 ) ) )
                        | ~ ( ~ sK5_REN
                            | ~ ( ~ ( b48_buttercup10098 @ sK2_X142 )
                                | ~ ~ ( k04_buttercup10100 @ sK2_X142 ) ) ) )
                  | ~ ~ ( ~ ( sK4_REN
                            | ! [SX0: $i] :
                                ( ~ ( b48_buttercup10098 @ SX0 )
                                | ( k04_buttercup10100 @ SX0 ) ) )
                        | ~ ( ~ sK4_REN
                            | ~ ( ~ ( k04_buttercup10100 @ sK1_X144 )
                                | ~ ~ ( b48_buttercup10098 @ sK1_X144 ) ) ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[423]) ).

thf(501,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( b48_buttercup10107 @ SX0 )
            | ( k04_buttercup10620 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[424]) ).

thf(502,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( k04_buttercup10620 @ SX0 )
            | ( b48_buttercup10107 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[424]) ).

thf(503,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( k04_buttercup10100 @ SX0 )
            | ( b48_buttercup10098 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[425]) ).

thf(504,plain,
    ( ( ~ ~ ( ~ ( b48_buttercup10098 @ sK51_X62 )
            | ~ ~ ( k04_buttercup10100 @ sK51_X62 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[425]) ).

thf(505,plain,
    ( ( ~ ~ ( ~ ( ! [SX0: $i] :
                    ( ~ ( k04_buttercup10619 @ SX0 )
                    | ~ ( b48_buttercup10109 @ SX0 ) )
                | ! [SX0: $i] :
                    ( ~ ( k04_buttercup10619 @ SX0 )
                    | ( b48_buttercup10109 @ SX0 ) )
                | ! [SX0: $i] :
                    ( ~ ( b48_buttercup10109 @ SX0 )
                    | ( k04_buttercup10619 @ SX0 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK101_X29 )
                                            | ~ ( k04_buttercup10619 @ sK101_X29 ) )
                                      | ~ ( k04_buttercup10619 @ sK102_SY207 ) )
                                | ~ ~ ( b48_buttercup10109 @ sK102_SY207 ) )
                          | ~ ~ ( k04_buttercup10619 @ sK103_SY209 ) )
                    | ~ ( b48_buttercup10109 @ sK103_SY209 ) ) )
            | ~ ( ! [SX0: $i] :
                    ( ~ ( k04_buttercup10619 @ SX0 )
                    | ~ ( b48_buttercup10109 @ SX0 ) )
                | ! [SX0: $i] :
                    ( ~ ( k04_buttercup10619 @ SX0 )
                    | ( b48_buttercup10109 @ SX0 ) )
                | ~ ( ~ ( k04_buttercup10619 @ sK100_X33 )
                    | ~ ~ ( b48_buttercup10109 @ sK100_X33 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK97_X29 )
                                            | ~ ( k04_buttercup10619 @ sK97_X29 ) )
                                      | ~ ( k04_buttercup10619 @ sK98_SY204 ) )
                                | ~ ~ ( b48_buttercup10109 @ sK98_SY204 ) )
                          | ~ ~ ( k04_buttercup10619 @ sK99_SY206 ) )
                    | ~ ( b48_buttercup10109 @ sK99_SY206 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[426]) ).

thf(506,plain,
    ( ( ~ ~ ( ~ ( ! [SX0: $i] :
                    ( ~ ( k04_buttercup10619 @ SX0 )
                    | ~ ( b48_buttercup10109 @ SX0 ) )
                | ~ ( ~ ( b48_buttercup10109 @ sK96_X35 )
                    | ~ ~ ( k04_buttercup10619 @ sK96_X35 ) )
                | ! [SX0: $i] :
                    ( ~ ( b48_buttercup10109 @ SX0 )
                    | ( k04_buttercup10619 @ SX0 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK93_X29 )
                                            | ~ ( k04_buttercup10619 @ sK93_X29 ) )
                                      | ~ ( k04_buttercup10619 @ sK94_SY201 ) )
                                | ~ ~ ( b48_buttercup10109 @ sK94_SY201 ) )
                          | ~ ~ ( k04_buttercup10619 @ sK95_SY203 ) )
                    | ~ ( b48_buttercup10109 @ sK95_SY203 ) ) )
            | ~ ( ! [SX0: $i] :
                    ( ~ ( k04_buttercup10619 @ SX0 )
                    | ~ ( b48_buttercup10109 @ SX0 ) )
                | ~ ( ~ ( b48_buttercup10109 @ sK92_X35 )
                    | ~ ~ ( k04_buttercup10619 @ sK92_X35 ) )
                | ~ ( ~ ( k04_buttercup10619 @ sK91_X33 )
                    | ~ ~ ( b48_buttercup10109 @ sK91_X33 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                                            | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                                      | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
                                | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) )
                          | ~ ~ ( k04_buttercup10619 @ sK90_SY200 ) )
                    | ~ ( b48_buttercup10109 @ sK90_SY200 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[426]) ).

thf(507,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( b48_buttercup10109 @ SX0 )
            | ( k04_buttercup10100 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[427]) ).

thf(508,plain,
    ( ( ~ ~ ( ~ ( k04_buttercup10100 @ sK121_X18 )
            | ~ ~ ( b48_buttercup10109 @ sK121_X18 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[427]) ).

thf(509,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( b48_buttercup10111 @ SX0 )
            | ( k04_buttercup10100 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[428]) ).

thf(510,plain,
    ( ( ~ ~ ( ~ ( k04_buttercup10100 @ sK87_X38 )
            | ~ ~ ( b48_buttercup10111 @ sK87_X38 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[428]) ).

thf(511,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( b48_buttercup10102 @ SX0 )
            | ( k04_buttercup10622 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[429]) ).

thf(512,plain,
    ( ( ~ ~ ( ~ ( k04_buttercup10622 @ sK34_X72 )
            | ~ ~ ( b48_buttercup10102 @ sK34_X72 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[429]) ).

thf(513,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( k04_buttercup10619 @ SX0 )
            | ( b48_buttercup10098 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[430]) ).

thf(514,plain,
    ( ( ~ ~ ( ~ ( b48_buttercup10098 @ sK104_X28 )
            | ~ ~ ( k04_buttercup10619 @ sK104_X28 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[430]) ).

thf(515,plain,
    ( ( ~ ~ ( ~ ( ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ~ ( b48_buttercup10107 @ SX0 ) )
                | ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ( b48_buttercup10107 @ SX0 ) )
                | ! [SX0: $i] :
                    ( ~ ( b48_buttercup10107 @ SX0 )
                    | ( k04_buttercup10100 @ SX0 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK31_X74 )
                                            | ~ ( k04_buttercup10100 @ sK31_X74 ) )
                                      | ~ ( k04_buttercup10100 @ sK32_SY159 ) )
                                | ~ ~ ( b48_buttercup10107 @ sK32_SY159 ) )
                          | ~ ~ ( k04_buttercup10100 @ sK33_SY161 ) )
                    | ~ ( b48_buttercup10107 @ sK33_SY161 ) ) )
            | ~ ( ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ~ ( b48_buttercup10107 @ SX0 ) )
                | ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ( b48_buttercup10107 @ SX0 ) )
                | ~ ( ~ ( k04_buttercup10100 @ sK30_X78 )
                    | ~ ~ ( b48_buttercup10107 @ sK30_X78 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK27_X74 )
                                            | ~ ( k04_buttercup10100 @ sK27_X74 ) )
                                      | ~ ( k04_buttercup10100 @ sK28_SY156 ) )
                                | ~ ~ ( b48_buttercup10107 @ sK28_SY156 ) )
                          | ~ ~ ( k04_buttercup10100 @ sK29_SY158 ) )
                    | ~ ( b48_buttercup10107 @ sK29_SY158 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[431]) ).

thf(516,plain,
    ( ( ~ ~ ( ~ ( ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ~ ( b48_buttercup10107 @ SX0 ) )
                | ~ ( ~ ( b48_buttercup10107 @ sK26_X80 )
                    | ~ ~ ( k04_buttercup10100 @ sK26_X80 ) )
                | ! [SX0: $i] :
                    ( ~ ( b48_buttercup10107 @ SX0 )
                    | ( k04_buttercup10100 @ SX0 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK23_X74 )
                                            | ~ ( k04_buttercup10100 @ sK23_X74 ) )
                                      | ~ ( k04_buttercup10100 @ sK24_SY153 ) )
                                | ~ ~ ( b48_buttercup10107 @ sK24_SY153 ) )
                          | ~ ~ ( k04_buttercup10100 @ sK25_SY155 ) )
                    | ~ ( b48_buttercup10107 @ sK25_SY155 ) ) )
            | ~ ( ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ~ ( b48_buttercup10107 @ SX0 ) )
                | ~ ( ~ ( b48_buttercup10107 @ sK22_X80 )
                    | ~ ~ ( k04_buttercup10100 @ sK22_X80 ) )
                | ~ ( ~ ( k04_buttercup10100 @ sK21_X78 )
                    | ~ ~ ( b48_buttercup10107 @ sK21_X78 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                                            | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                                      | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
                                | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) )
                          | ~ ~ ( k04_buttercup10100 @ sK20_SY152 ) )
                    | ~ ( b48_buttercup10107 @ sK20_SY152 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[431]) ).

thf(517,plain,
    ( ( ~ ~ ( ~ ( ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ~ ( b48_buttercup10104 @ SX0 ) )
                | ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ( b48_buttercup10104 @ SX0 ) )
                | ! [SX0: $i] :
                    ( ~ ( b48_buttercup10104 @ SX0 )
                    | ( k04_buttercup10100 @ SX0 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK135_X9 )
                                            | ~ ( k04_buttercup10100 @ sK135_X9 ) )
                                      | ~ ( k04_buttercup10100 @ sK136_SY231 ) )
                                | ~ ~ ( b48_buttercup10104 @ sK136_SY231 ) )
                          | ~ ~ ( k04_buttercup10100 @ sK137_SY233 ) )
                    | ~ ( b48_buttercup10104 @ sK137_SY233 ) ) )
            | ~ ( ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ~ ( b48_buttercup10104 @ SX0 ) )
                | ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ( b48_buttercup10104 @ SX0 ) )
                | ~ ( ~ ( k04_buttercup10100 @ sK134_X13 )
                    | ~ ~ ( b48_buttercup10104 @ sK134_X13 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK131_X9 )
                                            | ~ ( k04_buttercup10100 @ sK131_X9 ) )
                                      | ~ ( k04_buttercup10100 @ sK132_SY228 ) )
                                | ~ ~ ( b48_buttercup10104 @ sK132_SY228 ) )
                          | ~ ~ ( k04_buttercup10100 @ sK133_SY230 ) )
                    | ~ ( b48_buttercup10104 @ sK133_SY230 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[432]) ).

thf(518,plain,
    ( ( ~ ~ ( ~ ( ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ~ ( b48_buttercup10104 @ SX0 ) )
                | ~ ( ~ ( b48_buttercup10104 @ sK130_X15 )
                    | ~ ~ ( k04_buttercup10100 @ sK130_X15 ) )
                | ! [SX0: $i] :
                    ( ~ ( b48_buttercup10104 @ SX0 )
                    | ( k04_buttercup10100 @ SX0 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK127_X9 )
                                            | ~ ( k04_buttercup10100 @ sK127_X9 ) )
                                      | ~ ( k04_buttercup10100 @ sK128_SY225 ) )
                                | ~ ~ ( b48_buttercup10104 @ sK128_SY225 ) )
                          | ~ ~ ( k04_buttercup10100 @ sK129_SY227 ) )
                    | ~ ( b48_buttercup10104 @ sK129_SY227 ) ) )
            | ~ ( ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ~ ( b48_buttercup10104 @ SX0 ) )
                | ~ ( ~ ( b48_buttercup10104 @ sK126_X15 )
                    | ~ ~ ( k04_buttercup10100 @ sK126_X15 ) )
                | ~ ( ~ ( k04_buttercup10100 @ sK125_X13 )
                    | ~ ~ ( b48_buttercup10104 @ sK125_X13 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                                            | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                                      | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
                                | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) )
                          | ~ ~ ( k04_buttercup10100 @ sK124_SY224 ) )
                    | ~ ( b48_buttercup10104 @ sK124_SY224 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[432]) ).

thf(519,plain,
    ( ( ~ ~ ( ~ ( ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ~ ( b48_buttercup10110 @ SX0 ) )
                | ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ( b48_buttercup10110 @ SX0 ) )
                | ! [SX0: $i] :
                    ( ~ ( b48_buttercup10110 @ SX0 )
                    | ( k04_buttercup10100 @ SX0 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK68_X47 )
                                            | ~ ( k04_buttercup10100 @ sK68_X47 ) )
                                      | ~ ( k04_buttercup10100 @ sK69_SY183 ) )
                                | ~ ~ ( b48_buttercup10110 @ sK69_SY183 ) )
                          | ~ ~ ( k04_buttercup10100 @ sK70_SY185 ) )
                    | ~ ( b48_buttercup10110 @ sK70_SY185 ) ) )
            | ~ ( ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ~ ( b48_buttercup10110 @ SX0 ) )
                | ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ( b48_buttercup10110 @ SX0 ) )
                | ~ ( ~ ( k04_buttercup10100 @ sK67_X51 )
                    | ~ ~ ( b48_buttercup10110 @ sK67_X51 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK64_X47 )
                                            | ~ ( k04_buttercup10100 @ sK64_X47 ) )
                                      | ~ ( k04_buttercup10100 @ sK65_SY180 ) )
                                | ~ ~ ( b48_buttercup10110 @ sK65_SY180 ) )
                          | ~ ~ ( k04_buttercup10100 @ sK66_SY182 ) )
                    | ~ ( b48_buttercup10110 @ sK66_SY182 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[433]) ).

thf(520,plain,
    ( ( ~ ~ ( ~ ( ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ~ ( b48_buttercup10110 @ SX0 ) )
                | ~ ( ~ ( b48_buttercup10110 @ sK63_X53 )
                    | ~ ~ ( k04_buttercup10100 @ sK63_X53 ) )
                | ! [SX0: $i] :
                    ( ~ ( b48_buttercup10110 @ SX0 )
                    | ( k04_buttercup10100 @ SX0 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK60_X47 )
                                            | ~ ( k04_buttercup10100 @ sK60_X47 ) )
                                      | ~ ( k04_buttercup10100 @ sK61_SY177 ) )
                                | ~ ~ ( b48_buttercup10110 @ sK61_SY177 ) )
                          | ~ ~ ( k04_buttercup10100 @ sK62_SY179 ) )
                    | ~ ( b48_buttercup10110 @ sK62_SY179 ) ) )
            | ~ ( ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ~ ( b48_buttercup10110 @ SX0 ) )
                | ~ ( ~ ( b48_buttercup10110 @ sK59_X53 )
                    | ~ ~ ( k04_buttercup10100 @ sK59_X53 ) )
                | ~ ( ~ ( k04_buttercup10100 @ sK58_X51 )
                    | ~ ~ ( b48_buttercup10110 @ sK58_X51 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                                            | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                                      | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
                                | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) )
                          | ~ ~ ( k04_buttercup10100 @ sK57_SY176 ) )
                    | ~ ( b48_buttercup10110 @ sK57_SY176 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[433]) ).

thf(521,plain,
    ( ( ~ ~ ( ~ ( ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ~ ( b48_buttercup10108 @ SX0 ) )
                | ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ( b48_buttercup10108 @ SX0 ) )
                | ! [SX0: $i] :
                    ( ~ ( b48_buttercup10108 @ SX0 )
                    | ( k04_buttercup10100 @ SX0 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK84_X39 )
                                            | ~ ( k04_buttercup10100 @ sK84_X39 ) )
                                      | ~ ( k04_buttercup10100 @ sK85_SY195 ) )
                                | ~ ~ ( b48_buttercup10108 @ sK85_SY195 ) )
                          | ~ ~ ( k04_buttercup10100 @ sK86_SY197 ) )
                    | ~ ( b48_buttercup10108 @ sK86_SY197 ) ) )
            | ~ ( ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ~ ( b48_buttercup10108 @ SX0 ) )
                | ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ( b48_buttercup10108 @ SX0 ) )
                | ~ ( ~ ( k04_buttercup10100 @ sK83_X43 )
                    | ~ ~ ( b48_buttercup10108 @ sK83_X43 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK80_X39 )
                                            | ~ ( k04_buttercup10100 @ sK80_X39 ) )
                                      | ~ ( k04_buttercup10100 @ sK81_SY192 ) )
                                | ~ ~ ( b48_buttercup10108 @ sK81_SY192 ) )
                          | ~ ~ ( k04_buttercup10100 @ sK82_SY194 ) )
                    | ~ ( b48_buttercup10108 @ sK82_SY194 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[434]) ).

thf(522,plain,
    ( ( ~ ~ ( ~ ( ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ~ ( b48_buttercup10108 @ SX0 ) )
                | ~ ( ~ ( b48_buttercup10108 @ sK79_X45 )
                    | ~ ~ ( k04_buttercup10100 @ sK79_X45 ) )
                | ! [SX0: $i] :
                    ( ~ ( b48_buttercup10108 @ SX0 )
                    | ( k04_buttercup10100 @ SX0 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK76_X39 )
                                            | ~ ( k04_buttercup10100 @ sK76_X39 ) )
                                      | ~ ( k04_buttercup10100 @ sK77_SY189 ) )
                                | ~ ~ ( b48_buttercup10108 @ sK77_SY189 ) )
                          | ~ ~ ( k04_buttercup10100 @ sK78_SY191 ) )
                    | ~ ( b48_buttercup10108 @ sK78_SY191 ) ) )
            | ~ ( ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ~ ( b48_buttercup10108 @ SX0 ) )
                | ~ ( ~ ( b48_buttercup10108 @ sK75_X45 )
                    | ~ ~ ( k04_buttercup10100 @ sK75_X45 ) )
                | ~ ( ~ ( k04_buttercup10100 @ sK74_X43 )
                    | ~ ~ ( b48_buttercup10108 @ sK74_X43 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                                            | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                                      | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
                                | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) )
                          | ~ ~ ( k04_buttercup10100 @ sK73_SY188 ) )
                    | ~ ( b48_buttercup10108 @ sK73_SY188 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[434]) ).

thf(523,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( b48_buttercup10108 @ SX0 )
            | ( k04_buttercup10622 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[435]) ).

thf(524,plain,
    ( ( ~ ~ ( ~ ( k04_buttercup10622 @ sK52_X60 )
            | ~ ~ ( b48_buttercup10108 @ sK52_X60 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[435]) ).

thf(525,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( b48_buttercup10110 @ SX0 )
            | ( k04_buttercup10622 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[436]) ).

thf(526,plain,
    ( ( ~ ~ ( ~ ( k04_buttercup10622 @ sK53_X58 )
            | ~ ~ ( b48_buttercup10110 @ sK53_X58 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[436]) ).

thf(527,plain,
    ( ( ~ ~ ( ~ ( ! [SX0: $i] :
                    ( ~ ( k04_buttercup10619 @ SX0 )
                    | ~ ( b48_buttercup10111 @ SX0 ) )
                | ! [SX0: $i] :
                    ( ~ ( k04_buttercup10619 @ SX0 )
                    | ( b48_buttercup10111 @ SX0 ) )
                | ! [SX0: $i] :
                    ( ~ ( b48_buttercup10111 @ SX0 )
                    | ( k04_buttercup10619 @ SX0 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK118_X19 )
                                            | ~ ( k04_buttercup10619 @ sK118_X19 ) )
                                      | ~ ( k04_buttercup10619 @ sK119_SY219 ) )
                                | ~ ~ ( b48_buttercup10111 @ sK119_SY219 ) )
                          | ~ ~ ( k04_buttercup10619 @ sK120_SY221 ) )
                    | ~ ( b48_buttercup10111 @ sK120_SY221 ) ) )
            | ~ ( ! [SX0: $i] :
                    ( ~ ( k04_buttercup10619 @ SX0 )
                    | ~ ( b48_buttercup10111 @ SX0 ) )
                | ! [SX0: $i] :
                    ( ~ ( k04_buttercup10619 @ SX0 )
                    | ( b48_buttercup10111 @ SX0 ) )
                | ~ ( ~ ( k04_buttercup10619 @ sK117_X23 )
                    | ~ ~ ( b48_buttercup10111 @ sK117_X23 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK114_X19 )
                                            | ~ ( k04_buttercup10619 @ sK114_X19 ) )
                                      | ~ ( k04_buttercup10619 @ sK115_SY216 ) )
                                | ~ ~ ( b48_buttercup10111 @ sK115_SY216 ) )
                          | ~ ~ ( k04_buttercup10619 @ sK116_SY218 ) )
                    | ~ ( b48_buttercup10111 @ sK116_SY218 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[437]) ).

thf(528,plain,
    ( ( ~ ~ ( ~ ( ! [SX0: $i] :
                    ( ~ ( k04_buttercup10619 @ SX0 )
                    | ~ ( b48_buttercup10111 @ SX0 ) )
                | ~ ( ~ ( b48_buttercup10111 @ sK113_X25 )
                    | ~ ~ ( k04_buttercup10619 @ sK113_X25 ) )
                | ! [SX0: $i] :
                    ( ~ ( b48_buttercup10111 @ SX0 )
                    | ( k04_buttercup10619 @ SX0 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK110_X19 )
                                            | ~ ( k04_buttercup10619 @ sK110_X19 ) )
                                      | ~ ( k04_buttercup10619 @ sK111_SY213 ) )
                                | ~ ~ ( b48_buttercup10111 @ sK111_SY213 ) )
                          | ~ ~ ( k04_buttercup10619 @ sK112_SY215 ) )
                    | ~ ( b48_buttercup10111 @ sK112_SY215 ) ) )
            | ~ ( ! [SX0: $i] :
                    ( ~ ( k04_buttercup10619 @ SX0 )
                    | ~ ( b48_buttercup10111 @ SX0 ) )
                | ~ ( ~ ( b48_buttercup10111 @ sK109_X25 )
                    | ~ ~ ( k04_buttercup10619 @ sK109_X25 ) )
                | ~ ( ~ ( k04_buttercup10619 @ sK108_X23 )
                    | ~ ~ ( b48_buttercup10111 @ sK108_X23 ) )
                | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                                            | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                                      | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
                                | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) )
                          | ~ ~ ( k04_buttercup10619 @ sK107_SY212 ) )
                    | ~ ( b48_buttercup10111 @ sK107_SY212 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[437]) ).

thf(529,plain,
    ! [SV1: $i] :
      ( ( ( k04_buttercup10620 @ SV1 )
        = $false )
      | ( ( k04_buttercup10619 @ SV1 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[438]) ).

thf(530,plain,
    ! [SV2: $i] :
      ( ( ( k04_buttercup10622 @ SV2 )
        = $false )
      | ( ( k04_buttercup10619 @ SV2 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[439]) ).

thf(531,plain,
    ! [SV3: $i] :
      ( ( ( b48_buttercup10102 @ SV3 )
        = $false )
      | ( ( b48_buttercup10098 @ SV3 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[440]) ).

thf(532,plain,
    ! [SV4: $i] :
      ( ( ( b48_buttercup10104 @ SV4 )
        = $false )
      | ( ( b48_buttercup10098 @ SV4 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[441]) ).

thf(533,plain,
    ! [SV5: $i] :
      ( ( ( b48_buttercup10107 @ SV5 )
        = $false )
      | ( ( b48_buttercup10098 @ SV5 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[442]) ).

thf(534,plain,
    ! [SV6: $i] :
      ( ( ( b48_buttercup10108 @ SV6 )
        = $false )
      | ( ( b48_buttercup10098 @ SV6 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[443]) ).

thf(535,plain,
    ! [SV7: $i] :
      ( ( ( b48_buttercup10109 @ SV7 )
        = $false )
      | ( ( b48_buttercup10098 @ SV7 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[444]) ).

thf(536,plain,
    ! [SV8: $i] :
      ( ( ( b48_buttercup10110 @ SV8 )
        = $false )
      | ( ( b48_buttercup10098 @ SV8 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[445]) ).

thf(537,plain,
    ! [SV9: $i] :
      ( ( ( b48_buttercup10111 @ SV9 )
        = $false )
      | ( ( b48_buttercup10098 @ SV9 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[446]) ).

thf(538,plain,
    ! [SV10: $i] :
      ( ( ( k04_buttercup10100 @ SV10 )
        = $false )
      | ( ( ~ ( k04_buttercup10619 @ SV10 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[447]) ).

thf(539,plain,
    ! [SV11: $i] :
      ( ( ( k04_buttercup10620 @ SV11 )
        = $false )
      | ( ( ~ ( k04_buttercup10622 @ SV11 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[448]) ).

thf(540,plain,
    ! [SV12: $i] :
      ( ( ( k04_buttercup10622 @ SV12 )
        = $false )
      | ( ( ~ ( k04_buttercup10620 @ SV12 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[449]) ).

thf(541,plain,
    ! [SV13: $i] :
      ( ( ( k04_buttercup10619 @ SV13 )
        = $false )
      | ( ( ~ ( k04_buttercup10100 @ SV13 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[450]) ).

thf(542,plain,
    ! [SV14: $i] :
      ( ( ( b48_buttercup10102 @ SV14 )
        = $false )
      | ( ( ~ ( b48_buttercup10104 @ SV14 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[451]) ).

thf(543,plain,
    ! [SV15: $i] :
      ( ( ( b48_buttercup10102 @ SV15 )
        = $false )
      | ( ( ~ ( b48_buttercup10107 @ SV15 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[452]) ).

thf(544,plain,
    ! [SV16: $i] :
      ( ( ( b48_buttercup10102 @ SV16 )
        = $false )
      | ( ( ~ ( b48_buttercup10108 @ SV16 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[453]) ).

thf(545,plain,
    ! [SV17: $i] :
      ( ( ( b48_buttercup10102 @ SV17 )
        = $false )
      | ( ( ~ ( b48_buttercup10109 @ SV17 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[454]) ).

thf(546,plain,
    ! [SV18: $i] :
      ( ( ( b48_buttercup10102 @ SV18 )
        = $false )
      | ( ( ~ ( b48_buttercup10110 @ SV18 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[455]) ).

thf(547,plain,
    ! [SV19: $i] :
      ( ( ( b48_buttercup10102 @ SV19 )
        = $false )
      | ( ( ~ ( b48_buttercup10111 @ SV19 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[456]) ).

thf(548,plain,
    ! [SV20: $i] :
      ( ( ( b48_buttercup10104 @ SV20 )
        = $false )
      | ( ( ~ ( b48_buttercup10102 @ SV20 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[457]) ).

thf(549,plain,
    ! [SV21: $i] :
      ( ( ( b48_buttercup10104 @ SV21 )
        = $false )
      | ( ( ~ ( b48_buttercup10107 @ SV21 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[458]) ).

thf(550,plain,
    ! [SV22: $i] :
      ( ( ( b48_buttercup10104 @ SV22 )
        = $false )
      | ( ( ~ ( b48_buttercup10108 @ SV22 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[459]) ).

thf(551,plain,
    ! [SV23: $i] :
      ( ( ( b48_buttercup10104 @ SV23 )
        = $false )
      | ( ( ~ ( b48_buttercup10109 @ SV23 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[460]) ).

thf(552,plain,
    ! [SV24: $i] :
      ( ( ( b48_buttercup10104 @ SV24 )
        = $false )
      | ( ( ~ ( b48_buttercup10110 @ SV24 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[461]) ).

thf(553,plain,
    ! [SV25: $i] :
      ( ( ( b48_buttercup10104 @ SV25 )
        = $false )
      | ( ( ~ ( b48_buttercup10111 @ SV25 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[462]) ).

thf(554,plain,
    ! [SV26: $i] :
      ( ( ( b48_buttercup10107 @ SV26 )
        = $false )
      | ( ( ~ ( b48_buttercup10102 @ SV26 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[463]) ).

thf(555,plain,
    ! [SV27: $i] :
      ( ( ( b48_buttercup10107 @ SV27 )
        = $false )
      | ( ( ~ ( b48_buttercup10104 @ SV27 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[464]) ).

thf(556,plain,
    ! [SV28: $i] :
      ( ( ( b48_buttercup10107 @ SV28 )
        = $false )
      | ( ( ~ ( b48_buttercup10108 @ SV28 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[465]) ).

thf(557,plain,
    ! [SV29: $i] :
      ( ( ( b48_buttercup10107 @ SV29 )
        = $false )
      | ( ( ~ ( b48_buttercup10109 @ SV29 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[466]) ).

thf(558,plain,
    ! [SV30: $i] :
      ( ( ( b48_buttercup10107 @ SV30 )
        = $false )
      | ( ( ~ ( b48_buttercup10110 @ SV30 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[467]) ).

thf(559,plain,
    ! [SV31: $i] :
      ( ( ( b48_buttercup10107 @ SV31 )
        = $false )
      | ( ( ~ ( b48_buttercup10111 @ SV31 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[468]) ).

thf(560,plain,
    ! [SV32: $i] :
      ( ( ( b48_buttercup10108 @ SV32 )
        = $false )
      | ( ( ~ ( b48_buttercup10102 @ SV32 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[469]) ).

thf(561,plain,
    ! [SV33: $i] :
      ( ( ( b48_buttercup10108 @ SV33 )
        = $false )
      | ( ( ~ ( b48_buttercup10104 @ SV33 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[470]) ).

thf(562,plain,
    ! [SV34: $i] :
      ( ( ( b48_buttercup10108 @ SV34 )
        = $false )
      | ( ( ~ ( b48_buttercup10107 @ SV34 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[471]) ).

thf(563,plain,
    ! [SV35: $i] :
      ( ( ( b48_buttercup10108 @ SV35 )
        = $false )
      | ( ( ~ ( b48_buttercup10109 @ SV35 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[472]) ).

thf(564,plain,
    ! [SV36: $i] :
      ( ( ( b48_buttercup10108 @ SV36 )
        = $false )
      | ( ( ~ ( b48_buttercup10110 @ SV36 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[473]) ).

thf(565,plain,
    ! [SV37: $i] :
      ( ( ( b48_buttercup10108 @ SV37 )
        = $false )
      | ( ( ~ ( b48_buttercup10111 @ SV37 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[474]) ).

thf(566,plain,
    ! [SV38: $i] :
      ( ( ( b48_buttercup10109 @ SV38 )
        = $false )
      | ( ( ~ ( b48_buttercup10102 @ SV38 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[475]) ).

thf(567,plain,
    ! [SV39: $i] :
      ( ( ( b48_buttercup10109 @ SV39 )
        = $false )
      | ( ( ~ ( b48_buttercup10104 @ SV39 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[476]) ).

thf(568,plain,
    ! [SV40: $i] :
      ( ( ( b48_buttercup10109 @ SV40 )
        = $false )
      | ( ( ~ ( b48_buttercup10107 @ SV40 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[477]) ).

thf(569,plain,
    ! [SV41: $i] :
      ( ( ( b48_buttercup10109 @ SV41 )
        = $false )
      | ( ( ~ ( b48_buttercup10108 @ SV41 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[478]) ).

thf(570,plain,
    ! [SV42: $i] :
      ( ( ( b48_buttercup10109 @ SV42 )
        = $false )
      | ( ( ~ ( b48_buttercup10110 @ SV42 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[479]) ).

thf(571,plain,
    ! [SV43: $i] :
      ( ( ( b48_buttercup10109 @ SV43 )
        = $false )
      | ( ( ~ ( b48_buttercup10111 @ SV43 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[480]) ).

thf(572,plain,
    ! [SV44: $i] :
      ( ( ( b48_buttercup10110 @ SV44 )
        = $false )
      | ( ( ~ ( b48_buttercup10102 @ SV44 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[481]) ).

thf(573,plain,
    ! [SV45: $i] :
      ( ( ( b48_buttercup10110 @ SV45 )
        = $false )
      | ( ( ~ ( b48_buttercup10104 @ SV45 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[482]) ).

thf(574,plain,
    ! [SV46: $i] :
      ( ( ( b48_buttercup10110 @ SV46 )
        = $false )
      | ( ( ~ ( b48_buttercup10107 @ SV46 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[483]) ).

thf(575,plain,
    ! [SV47: $i] :
      ( ( ( b48_buttercup10110 @ SV47 )
        = $false )
      | ( ( ~ ( b48_buttercup10108 @ SV47 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[484]) ).

thf(576,plain,
    ! [SV48: $i] :
      ( ( ( b48_buttercup10110 @ SV48 )
        = $false )
      | ( ( ~ ( b48_buttercup10109 @ SV48 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[485]) ).

thf(577,plain,
    ! [SV49: $i] :
      ( ( ( b48_buttercup10110 @ SV49 )
        = $false )
      | ( ( ~ ( b48_buttercup10111 @ SV49 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[486]) ).

thf(578,plain,
    ! [SV50: $i] :
      ( ( ( b48_buttercup10111 @ SV50 )
        = $false )
      | ( ( ~ ( b48_buttercup10102 @ SV50 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[487]) ).

thf(579,plain,
    ! [SV51: $i] :
      ( ( ( b48_buttercup10111 @ SV51 )
        = $false )
      | ( ( ~ ( b48_buttercup10104 @ SV51 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[488]) ).

thf(580,plain,
    ! [SV52: $i] :
      ( ( ( b48_buttercup10111 @ SV52 )
        = $false )
      | ( ( ~ ( b48_buttercup10107 @ SV52 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[489]) ).

thf(581,plain,
    ! [SV53: $i] :
      ( ( ( b48_buttercup10111 @ SV53 )
        = $false )
      | ( ( ~ ( b48_buttercup10108 @ SV53 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[490]) ).

thf(582,plain,
    ! [SV54: $i] :
      ( ( ( b48_buttercup10111 @ SV54 )
        = $false )
      | ( ( ~ ( b48_buttercup10109 @ SV54 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[491]) ).

thf(583,plain,
    ! [SV55: $i] :
      ( ( ( b48_buttercup10111 @ SV55 )
        = $false )
      | ( ( ~ ( b48_buttercup10110 @ SV55 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[492]) ).

thf(584,plain,
    ! [SV56: $i] :
      ( ( ( k04_buttercup10619 @ SV56 )
        = $false )
      | ( ( ( k04_buttercup10620 @ SV56 )
          | ( k04_buttercup10622 @ SV56 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[493]) ).

thf(585,plain,
    ! [SV57: $i] :
      ( ( ( b48_buttercup10098 @ SV57 )
        = $false )
      | ( ( ( b48_buttercup10111 @ SV57 )
          | ( b48_buttercup10110 @ SV57 )
          | ( b48_buttercup10109 @ SV57 )
          | ( b48_buttercup10108 @ SV57 )
          | ( b48_buttercup10107 @ SV57 )
          | ( b48_buttercup10102 @ SV57 )
          | ( b48_buttercup10104 @ SV57 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[494]) ).

thf(586,plain,
    ( ( ~ ( ~ ( ! [SX0: $i] :
                  ( ~ ( k04_buttercup10100 @ SX0 )
                  | ~ ( b48_buttercup10102 @ SX0 ) )
              | ! [SX0: $i] :
                  ( ~ ( k04_buttercup10100 @ SX0 )
                  | ( b48_buttercup10102 @ SX0 ) )
              | ! [SX0: $i] :
                  ( ~ ( b48_buttercup10102 @ SX0 )
                  | ( k04_buttercup10100 @ SX0 ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK48_X63 )
                                          | ~ ( k04_buttercup10100 @ sK48_X63 ) )
                                    | ~ ( k04_buttercup10100 @ sK49_SY171 ) )
                              | ~ ~ ( b48_buttercup10102 @ sK49_SY171 ) )
                        | ~ ~ ( k04_buttercup10100 @ sK50_SY173 ) )
                  | ~ ( b48_buttercup10102 @ sK50_SY173 ) ) )
          | ~ ( ! [SX0: $i] :
                  ( ~ ( k04_buttercup10100 @ SX0 )
                  | ~ ( b48_buttercup10102 @ SX0 ) )
              | ! [SX0: $i] :
                  ( ~ ( k04_buttercup10100 @ SX0 )
                  | ( b48_buttercup10102 @ SX0 ) )
              | ~ ( ~ ( k04_buttercup10100 @ sK47_X67 )
                  | ~ ~ ( b48_buttercup10102 @ sK47_X67 ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK44_X63 )
                                          | ~ ( k04_buttercup10100 @ sK44_X63 ) )
                                    | ~ ( k04_buttercup10100 @ sK45_SY168 ) )
                              | ~ ~ ( b48_buttercup10102 @ sK45_SY168 ) )
                        | ~ ~ ( k04_buttercup10100 @ sK46_SY170 ) )
                  | ~ ( b48_buttercup10102 @ sK46_SY170 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[495]) ).

thf(587,plain,
    ( ( ~ ( ~ ( ! [SX0: $i] :
                  ( ~ ( k04_buttercup10100 @ SX0 )
                  | ~ ( b48_buttercup10102 @ SX0 ) )
              | ~ ( ~ ( b48_buttercup10102 @ sK43_X69 )
                  | ~ ~ ( k04_buttercup10100 @ sK43_X69 ) )
              | ! [SX0: $i] :
                  ( ~ ( b48_buttercup10102 @ SX0 )
                  | ( k04_buttercup10100 @ SX0 ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK40_X63 )
                                          | ~ ( k04_buttercup10100 @ sK40_X63 ) )
                                    | ~ ( k04_buttercup10100 @ sK41_SY165 ) )
                              | ~ ~ ( b48_buttercup10102 @ sK41_SY165 ) )
                        | ~ ~ ( k04_buttercup10100 @ sK42_SY167 ) )
                  | ~ ( b48_buttercup10102 @ sK42_SY167 ) ) )
          | ~ ( ! [SX0: $i] :
                  ( ~ ( k04_buttercup10100 @ SX0 )
                  | ~ ( b48_buttercup10102 @ SX0 ) )
              | ~ ( ~ ( b48_buttercup10102 @ sK39_X69 )
                  | ~ ~ ( k04_buttercup10100 @ sK39_X69 ) )
              | ~ ( ~ ( k04_buttercup10100 @ sK38_X67 )
                  | ~ ~ ( b48_buttercup10102 @ sK38_X67 ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                                          | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                                    | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
                              | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) )
                        | ~ ~ ( k04_buttercup10100 @ sK37_SY164 ) )
                  | ~ ( b48_buttercup10102 @ sK37_SY164 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[496]) ).

thf(588,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( b48_buttercup10104 @ SX0 )
          | ( k04_buttercup10622 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[497]) ).

thf(589,plain,
    ( ( ~ ( ~ ( k04_buttercup10622 @ sK54_X56 )
          | ~ ~ ( b48_buttercup10104 @ sK54_X56 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[498]) ).

thf(590,plain,
    ( ( ~ ( ~ ( k04_buttercup10100 @ sK3_X149 )
          | ~ ( b48_buttercup10098 @ sK3_X149 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[499]) ).

thf(591,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
                ( ~ ( b48_buttercup10098 @ SX0 )
                | ~ ( k04_buttercup10100 @ SX0 )
                | ~ ( k04_buttercup10100 @ SX1 )
                | ( b48_buttercup10098 @ SX1 )
                | ( k04_buttercup10100 @ SX2 )
                | ~ ( b48_buttercup10098 @ SX2 ) )
          | ~ ~ ( ~ ~ ( ~ ( sK5_REN
                          | ! [SX0: $i] :
                              ( ~ ( k04_buttercup10100 @ SX0 )
                              | ( b48_buttercup10098 @ SX0 ) ) )
                      | ~ ( ~ sK5_REN
                          | ~ ( ~ ( b48_buttercup10098 @ sK2_X142 )
                              | ~ ~ ( k04_buttercup10100 @ sK2_X142 ) ) ) )
                | ~ ~ ( ~ ( sK4_REN
                          | ! [SX0: $i] :
                              ( ~ ( b48_buttercup10098 @ SX0 )
                              | ( k04_buttercup10100 @ SX0 ) ) )
                      | ~ ( ~ sK4_REN
                          | ~ ( ~ ( k04_buttercup10100 @ sK1_X144 )
                              | ~ ~ ( b48_buttercup10098 @ sK1_X144 ) ) ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[500]) ).

thf(592,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( b48_buttercup10107 @ SX0 )
          | ( k04_buttercup10620 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[501]) ).

thf(593,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( k04_buttercup10620 @ SX0 )
          | ( b48_buttercup10107 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[502]) ).

thf(594,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( k04_buttercup10100 @ SX0 )
          | ( b48_buttercup10098 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[503]) ).

thf(595,plain,
    ( ( ~ ( ~ ( b48_buttercup10098 @ sK51_X62 )
          | ~ ~ ( k04_buttercup10100 @ sK51_X62 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[504]) ).

thf(596,plain,
    ( ( ~ ( ~ ( ! [SX0: $i] :
                  ( ~ ( k04_buttercup10619 @ SX0 )
                  | ~ ( b48_buttercup10109 @ SX0 ) )
              | ! [SX0: $i] :
                  ( ~ ( k04_buttercup10619 @ SX0 )
                  | ( b48_buttercup10109 @ SX0 ) )
              | ! [SX0: $i] :
                  ( ~ ( b48_buttercup10109 @ SX0 )
                  | ( k04_buttercup10619 @ SX0 ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK101_X29 )
                                          | ~ ( k04_buttercup10619 @ sK101_X29 ) )
                                    | ~ ( k04_buttercup10619 @ sK102_SY207 ) )
                              | ~ ~ ( b48_buttercup10109 @ sK102_SY207 ) )
                        | ~ ~ ( k04_buttercup10619 @ sK103_SY209 ) )
                  | ~ ( b48_buttercup10109 @ sK103_SY209 ) ) )
          | ~ ( ! [SX0: $i] :
                  ( ~ ( k04_buttercup10619 @ SX0 )
                  | ~ ( b48_buttercup10109 @ SX0 ) )
              | ! [SX0: $i] :
                  ( ~ ( k04_buttercup10619 @ SX0 )
                  | ( b48_buttercup10109 @ SX0 ) )
              | ~ ( ~ ( k04_buttercup10619 @ sK100_X33 )
                  | ~ ~ ( b48_buttercup10109 @ sK100_X33 ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK97_X29 )
                                          | ~ ( k04_buttercup10619 @ sK97_X29 ) )
                                    | ~ ( k04_buttercup10619 @ sK98_SY204 ) )
                              | ~ ~ ( b48_buttercup10109 @ sK98_SY204 ) )
                        | ~ ~ ( k04_buttercup10619 @ sK99_SY206 ) )
                  | ~ ( b48_buttercup10109 @ sK99_SY206 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[505]) ).

thf(597,plain,
    ( ( ~ ( ~ ( ! [SX0: $i] :
                  ( ~ ( k04_buttercup10619 @ SX0 )
                  | ~ ( b48_buttercup10109 @ SX0 ) )
              | ~ ( ~ ( b48_buttercup10109 @ sK96_X35 )
                  | ~ ~ ( k04_buttercup10619 @ sK96_X35 ) )
              | ! [SX0: $i] :
                  ( ~ ( b48_buttercup10109 @ SX0 )
                  | ( k04_buttercup10619 @ SX0 ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK93_X29 )
                                          | ~ ( k04_buttercup10619 @ sK93_X29 ) )
                                    | ~ ( k04_buttercup10619 @ sK94_SY201 ) )
                              | ~ ~ ( b48_buttercup10109 @ sK94_SY201 ) )
                        | ~ ~ ( k04_buttercup10619 @ sK95_SY203 ) )
                  | ~ ( b48_buttercup10109 @ sK95_SY203 ) ) )
          | ~ ( ! [SX0: $i] :
                  ( ~ ( k04_buttercup10619 @ SX0 )
                  | ~ ( b48_buttercup10109 @ SX0 ) )
              | ~ ( ~ ( b48_buttercup10109 @ sK92_X35 )
                  | ~ ~ ( k04_buttercup10619 @ sK92_X35 ) )
              | ~ ( ~ ( k04_buttercup10619 @ sK91_X33 )
                  | ~ ~ ( b48_buttercup10109 @ sK91_X33 ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                                          | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                                    | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
                              | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) )
                        | ~ ~ ( k04_buttercup10619 @ sK90_SY200 ) )
                  | ~ ( b48_buttercup10109 @ sK90_SY200 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[506]) ).

thf(598,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( b48_buttercup10109 @ SX0 )
          | ( k04_buttercup10100 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[507]) ).

thf(599,plain,
    ( ( ~ ( ~ ( k04_buttercup10100 @ sK121_X18 )
          | ~ ~ ( b48_buttercup10109 @ sK121_X18 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[508]) ).

thf(600,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( b48_buttercup10111 @ SX0 )
          | ( k04_buttercup10100 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[509]) ).

thf(601,plain,
    ( ( ~ ( ~ ( k04_buttercup10100 @ sK87_X38 )
          | ~ ~ ( b48_buttercup10111 @ sK87_X38 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[510]) ).

thf(602,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( b48_buttercup10102 @ SX0 )
          | ( k04_buttercup10622 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[511]) ).

thf(603,plain,
    ( ( ~ ( ~ ( k04_buttercup10622 @ sK34_X72 )
          | ~ ~ ( b48_buttercup10102 @ sK34_X72 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[512]) ).

thf(604,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( k04_buttercup10619 @ SX0 )
          | ( b48_buttercup10098 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[513]) ).

thf(605,plain,
    ( ( ~ ( ~ ( b48_buttercup10098 @ sK104_X28 )
          | ~ ~ ( k04_buttercup10619 @ sK104_X28 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[514]) ).

thf(606,plain,
    ( ( ~ ( ~ ( ! [SX0: $i] :
                  ( ~ ( k04_buttercup10100 @ SX0 )
                  | ~ ( b48_buttercup10107 @ SX0 ) )
              | ! [SX0: $i] :
                  ( ~ ( k04_buttercup10100 @ SX0 )
                  | ( b48_buttercup10107 @ SX0 ) )
              | ! [SX0: $i] :
                  ( ~ ( b48_buttercup10107 @ SX0 )
                  | ( k04_buttercup10100 @ SX0 ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK31_X74 )
                                          | ~ ( k04_buttercup10100 @ sK31_X74 ) )
                                    | ~ ( k04_buttercup10100 @ sK32_SY159 ) )
                              | ~ ~ ( b48_buttercup10107 @ sK32_SY159 ) )
                        | ~ ~ ( k04_buttercup10100 @ sK33_SY161 ) )
                  | ~ ( b48_buttercup10107 @ sK33_SY161 ) ) )
          | ~ ( ! [SX0: $i] :
                  ( ~ ( k04_buttercup10100 @ SX0 )
                  | ~ ( b48_buttercup10107 @ SX0 ) )
              | ! [SX0: $i] :
                  ( ~ ( k04_buttercup10100 @ SX0 )
                  | ( b48_buttercup10107 @ SX0 ) )
              | ~ ( ~ ( k04_buttercup10100 @ sK30_X78 )
                  | ~ ~ ( b48_buttercup10107 @ sK30_X78 ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK27_X74 )
                                          | ~ ( k04_buttercup10100 @ sK27_X74 ) )
                                    | ~ ( k04_buttercup10100 @ sK28_SY156 ) )
                              | ~ ~ ( b48_buttercup10107 @ sK28_SY156 ) )
                        | ~ ~ ( k04_buttercup10100 @ sK29_SY158 ) )
                  | ~ ( b48_buttercup10107 @ sK29_SY158 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[515]) ).

thf(607,plain,
    ( ( ~ ( ~ ( ! [SX0: $i] :
                  ( ~ ( k04_buttercup10100 @ SX0 )
                  | ~ ( b48_buttercup10107 @ SX0 ) )
              | ~ ( ~ ( b48_buttercup10107 @ sK26_X80 )
                  | ~ ~ ( k04_buttercup10100 @ sK26_X80 ) )
              | ! [SX0: $i] :
                  ( ~ ( b48_buttercup10107 @ SX0 )
                  | ( k04_buttercup10100 @ SX0 ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK23_X74 )
                                          | ~ ( k04_buttercup10100 @ sK23_X74 ) )
                                    | ~ ( k04_buttercup10100 @ sK24_SY153 ) )
                              | ~ ~ ( b48_buttercup10107 @ sK24_SY153 ) )
                        | ~ ~ ( k04_buttercup10100 @ sK25_SY155 ) )
                  | ~ ( b48_buttercup10107 @ sK25_SY155 ) ) )
          | ~ ( ! [SX0: $i] :
                  ( ~ ( k04_buttercup10100 @ SX0 )
                  | ~ ( b48_buttercup10107 @ SX0 ) )
              | ~ ( ~ ( b48_buttercup10107 @ sK22_X80 )
                  | ~ ~ ( k04_buttercup10100 @ sK22_X80 ) )
              | ~ ( ~ ( k04_buttercup10100 @ sK21_X78 )
                  | ~ ~ ( b48_buttercup10107 @ sK21_X78 ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                                          | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                                    | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
                              | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) )
                        | ~ ~ ( k04_buttercup10100 @ sK20_SY152 ) )
                  | ~ ( b48_buttercup10107 @ sK20_SY152 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[516]) ).

thf(608,plain,
    ( ( ~ ( ~ ( ! [SX0: $i] :
                  ( ~ ( k04_buttercup10100 @ SX0 )
                  | ~ ( b48_buttercup10104 @ SX0 ) )
              | ! [SX0: $i] :
                  ( ~ ( k04_buttercup10100 @ SX0 )
                  | ( b48_buttercup10104 @ SX0 ) )
              | ! [SX0: $i] :
                  ( ~ ( b48_buttercup10104 @ SX0 )
                  | ( k04_buttercup10100 @ SX0 ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK135_X9 )
                                          | ~ ( k04_buttercup10100 @ sK135_X9 ) )
                                    | ~ ( k04_buttercup10100 @ sK136_SY231 ) )
                              | ~ ~ ( b48_buttercup10104 @ sK136_SY231 ) )
                        | ~ ~ ( k04_buttercup10100 @ sK137_SY233 ) )
                  | ~ ( b48_buttercup10104 @ sK137_SY233 ) ) )
          | ~ ( ! [SX0: $i] :
                  ( ~ ( k04_buttercup10100 @ SX0 )
                  | ~ ( b48_buttercup10104 @ SX0 ) )
              | ! [SX0: $i] :
                  ( ~ ( k04_buttercup10100 @ SX0 )
                  | ( b48_buttercup10104 @ SX0 ) )
              | ~ ( ~ ( k04_buttercup10100 @ sK134_X13 )
                  | ~ ~ ( b48_buttercup10104 @ sK134_X13 ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK131_X9 )
                                          | ~ ( k04_buttercup10100 @ sK131_X9 ) )
                                    | ~ ( k04_buttercup10100 @ sK132_SY228 ) )
                              | ~ ~ ( b48_buttercup10104 @ sK132_SY228 ) )
                        | ~ ~ ( k04_buttercup10100 @ sK133_SY230 ) )
                  | ~ ( b48_buttercup10104 @ sK133_SY230 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[517]) ).

thf(609,plain,
    ( ( ~ ( ~ ( ! [SX0: $i] :
                  ( ~ ( k04_buttercup10100 @ SX0 )
                  | ~ ( b48_buttercup10104 @ SX0 ) )
              | ~ ( ~ ( b48_buttercup10104 @ sK130_X15 )
                  | ~ ~ ( k04_buttercup10100 @ sK130_X15 ) )
              | ! [SX0: $i] :
                  ( ~ ( b48_buttercup10104 @ SX0 )
                  | ( k04_buttercup10100 @ SX0 ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK127_X9 )
                                          | ~ ( k04_buttercup10100 @ sK127_X9 ) )
                                    | ~ ( k04_buttercup10100 @ sK128_SY225 ) )
                              | ~ ~ ( b48_buttercup10104 @ sK128_SY225 ) )
                        | ~ ~ ( k04_buttercup10100 @ sK129_SY227 ) )
                  | ~ ( b48_buttercup10104 @ sK129_SY227 ) ) )
          | ~ ( ! [SX0: $i] :
                  ( ~ ( k04_buttercup10100 @ SX0 )
                  | ~ ( b48_buttercup10104 @ SX0 ) )
              | ~ ( ~ ( b48_buttercup10104 @ sK126_X15 )
                  | ~ ~ ( k04_buttercup10100 @ sK126_X15 ) )
              | ~ ( ~ ( k04_buttercup10100 @ sK125_X13 )
                  | ~ ~ ( b48_buttercup10104 @ sK125_X13 ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                                          | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                                    | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
                              | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) )
                        | ~ ~ ( k04_buttercup10100 @ sK124_SY224 ) )
                  | ~ ( b48_buttercup10104 @ sK124_SY224 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[518]) ).

thf(610,plain,
    ( ( ~ ( ~ ( ! [SX0: $i] :
                  ( ~ ( k04_buttercup10100 @ SX0 )
                  | ~ ( b48_buttercup10110 @ SX0 ) )
              | ! [SX0: $i] :
                  ( ~ ( k04_buttercup10100 @ SX0 )
                  | ( b48_buttercup10110 @ SX0 ) )
              | ! [SX0: $i] :
                  ( ~ ( b48_buttercup10110 @ SX0 )
                  | ( k04_buttercup10100 @ SX0 ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK68_X47 )
                                          | ~ ( k04_buttercup10100 @ sK68_X47 ) )
                                    | ~ ( k04_buttercup10100 @ sK69_SY183 ) )
                              | ~ ~ ( b48_buttercup10110 @ sK69_SY183 ) )
                        | ~ ~ ( k04_buttercup10100 @ sK70_SY185 ) )
                  | ~ ( b48_buttercup10110 @ sK70_SY185 ) ) )
          | ~ ( ! [SX0: $i] :
                  ( ~ ( k04_buttercup10100 @ SX0 )
                  | ~ ( b48_buttercup10110 @ SX0 ) )
              | ! [SX0: $i] :
                  ( ~ ( k04_buttercup10100 @ SX0 )
                  | ( b48_buttercup10110 @ SX0 ) )
              | ~ ( ~ ( k04_buttercup10100 @ sK67_X51 )
                  | ~ ~ ( b48_buttercup10110 @ sK67_X51 ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK64_X47 )
                                          | ~ ( k04_buttercup10100 @ sK64_X47 ) )
                                    | ~ ( k04_buttercup10100 @ sK65_SY180 ) )
                              | ~ ~ ( b48_buttercup10110 @ sK65_SY180 ) )
                        | ~ ~ ( k04_buttercup10100 @ sK66_SY182 ) )
                  | ~ ( b48_buttercup10110 @ sK66_SY182 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[519]) ).

thf(611,plain,
    ( ( ~ ( ~ ( ! [SX0: $i] :
                  ( ~ ( k04_buttercup10100 @ SX0 )
                  | ~ ( b48_buttercup10110 @ SX0 ) )
              | ~ ( ~ ( b48_buttercup10110 @ sK63_X53 )
                  | ~ ~ ( k04_buttercup10100 @ sK63_X53 ) )
              | ! [SX0: $i] :
                  ( ~ ( b48_buttercup10110 @ SX0 )
                  | ( k04_buttercup10100 @ SX0 ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK60_X47 )
                                          | ~ ( k04_buttercup10100 @ sK60_X47 ) )
                                    | ~ ( k04_buttercup10100 @ sK61_SY177 ) )
                              | ~ ~ ( b48_buttercup10110 @ sK61_SY177 ) )
                        | ~ ~ ( k04_buttercup10100 @ sK62_SY179 ) )
                  | ~ ( b48_buttercup10110 @ sK62_SY179 ) ) )
          | ~ ( ! [SX0: $i] :
                  ( ~ ( k04_buttercup10100 @ SX0 )
                  | ~ ( b48_buttercup10110 @ SX0 ) )
              | ~ ( ~ ( b48_buttercup10110 @ sK59_X53 )
                  | ~ ~ ( k04_buttercup10100 @ sK59_X53 ) )
              | ~ ( ~ ( k04_buttercup10100 @ sK58_X51 )
                  | ~ ~ ( b48_buttercup10110 @ sK58_X51 ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                                          | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                                    | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
                              | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) )
                        | ~ ~ ( k04_buttercup10100 @ sK57_SY176 ) )
                  | ~ ( b48_buttercup10110 @ sK57_SY176 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[520]) ).

thf(612,plain,
    ( ( ~ ( ~ ( ! [SX0: $i] :
                  ( ~ ( k04_buttercup10100 @ SX0 )
                  | ~ ( b48_buttercup10108 @ SX0 ) )
              | ! [SX0: $i] :
                  ( ~ ( k04_buttercup10100 @ SX0 )
                  | ( b48_buttercup10108 @ SX0 ) )
              | ! [SX0: $i] :
                  ( ~ ( b48_buttercup10108 @ SX0 )
                  | ( k04_buttercup10100 @ SX0 ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK84_X39 )
                                          | ~ ( k04_buttercup10100 @ sK84_X39 ) )
                                    | ~ ( k04_buttercup10100 @ sK85_SY195 ) )
                              | ~ ~ ( b48_buttercup10108 @ sK85_SY195 ) )
                        | ~ ~ ( k04_buttercup10100 @ sK86_SY197 ) )
                  | ~ ( b48_buttercup10108 @ sK86_SY197 ) ) )
          | ~ ( ! [SX0: $i] :
                  ( ~ ( k04_buttercup10100 @ SX0 )
                  | ~ ( b48_buttercup10108 @ SX0 ) )
              | ! [SX0: $i] :
                  ( ~ ( k04_buttercup10100 @ SX0 )
                  | ( b48_buttercup10108 @ SX0 ) )
              | ~ ( ~ ( k04_buttercup10100 @ sK83_X43 )
                  | ~ ~ ( b48_buttercup10108 @ sK83_X43 ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK80_X39 )
                                          | ~ ( k04_buttercup10100 @ sK80_X39 ) )
                                    | ~ ( k04_buttercup10100 @ sK81_SY192 ) )
                              | ~ ~ ( b48_buttercup10108 @ sK81_SY192 ) )
                        | ~ ~ ( k04_buttercup10100 @ sK82_SY194 ) )
                  | ~ ( b48_buttercup10108 @ sK82_SY194 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[521]) ).

thf(613,plain,
    ( ( ~ ( ~ ( ! [SX0: $i] :
                  ( ~ ( k04_buttercup10100 @ SX0 )
                  | ~ ( b48_buttercup10108 @ SX0 ) )
              | ~ ( ~ ( b48_buttercup10108 @ sK79_X45 )
                  | ~ ~ ( k04_buttercup10100 @ sK79_X45 ) )
              | ! [SX0: $i] :
                  ( ~ ( b48_buttercup10108 @ SX0 )
                  | ( k04_buttercup10100 @ SX0 ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK76_X39 )
                                          | ~ ( k04_buttercup10100 @ sK76_X39 ) )
                                    | ~ ( k04_buttercup10100 @ sK77_SY189 ) )
                              | ~ ~ ( b48_buttercup10108 @ sK77_SY189 ) )
                        | ~ ~ ( k04_buttercup10100 @ sK78_SY191 ) )
                  | ~ ( b48_buttercup10108 @ sK78_SY191 ) ) )
          | ~ ( ! [SX0: $i] :
                  ( ~ ( k04_buttercup10100 @ SX0 )
                  | ~ ( b48_buttercup10108 @ SX0 ) )
              | ~ ( ~ ( b48_buttercup10108 @ sK75_X45 )
                  | ~ ~ ( k04_buttercup10100 @ sK75_X45 ) )
              | ~ ( ~ ( k04_buttercup10100 @ sK74_X43 )
                  | ~ ~ ( b48_buttercup10108 @ sK74_X43 ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                                          | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                                    | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
                              | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) )
                        | ~ ~ ( k04_buttercup10100 @ sK73_SY188 ) )
                  | ~ ( b48_buttercup10108 @ sK73_SY188 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[522]) ).

thf(614,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( b48_buttercup10108 @ SX0 )
          | ( k04_buttercup10622 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[523]) ).

thf(615,plain,
    ( ( ~ ( ~ ( k04_buttercup10622 @ sK52_X60 )
          | ~ ~ ( b48_buttercup10108 @ sK52_X60 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[524]) ).

thf(616,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( b48_buttercup10110 @ SX0 )
          | ( k04_buttercup10622 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[525]) ).

thf(617,plain,
    ( ( ~ ( ~ ( k04_buttercup10622 @ sK53_X58 )
          | ~ ~ ( b48_buttercup10110 @ sK53_X58 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[526]) ).

thf(618,plain,
    ( ( ~ ( ~ ( ! [SX0: $i] :
                  ( ~ ( k04_buttercup10619 @ SX0 )
                  | ~ ( b48_buttercup10111 @ SX0 ) )
              | ! [SX0: $i] :
                  ( ~ ( k04_buttercup10619 @ SX0 )
                  | ( b48_buttercup10111 @ SX0 ) )
              | ! [SX0: $i] :
                  ( ~ ( b48_buttercup10111 @ SX0 )
                  | ( k04_buttercup10619 @ SX0 ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK118_X19 )
                                          | ~ ( k04_buttercup10619 @ sK118_X19 ) )
                                    | ~ ( k04_buttercup10619 @ sK119_SY219 ) )
                              | ~ ~ ( b48_buttercup10111 @ sK119_SY219 ) )
                        | ~ ~ ( k04_buttercup10619 @ sK120_SY221 ) )
                  | ~ ( b48_buttercup10111 @ sK120_SY221 ) ) )
          | ~ ( ! [SX0: $i] :
                  ( ~ ( k04_buttercup10619 @ SX0 )
                  | ~ ( b48_buttercup10111 @ SX0 ) )
              | ! [SX0: $i] :
                  ( ~ ( k04_buttercup10619 @ SX0 )
                  | ( b48_buttercup10111 @ SX0 ) )
              | ~ ( ~ ( k04_buttercup10619 @ sK117_X23 )
                  | ~ ~ ( b48_buttercup10111 @ sK117_X23 ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK114_X19 )
                                          | ~ ( k04_buttercup10619 @ sK114_X19 ) )
                                    | ~ ( k04_buttercup10619 @ sK115_SY216 ) )
                              | ~ ~ ( b48_buttercup10111 @ sK115_SY216 ) )
                        | ~ ~ ( k04_buttercup10619 @ sK116_SY218 ) )
                  | ~ ( b48_buttercup10111 @ sK116_SY218 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[527]) ).

thf(619,plain,
    ( ( ~ ( ~ ( ! [SX0: $i] :
                  ( ~ ( k04_buttercup10619 @ SX0 )
                  | ~ ( b48_buttercup10111 @ SX0 ) )
              | ~ ( ~ ( b48_buttercup10111 @ sK113_X25 )
                  | ~ ~ ( k04_buttercup10619 @ sK113_X25 ) )
              | ! [SX0: $i] :
                  ( ~ ( b48_buttercup10111 @ SX0 )
                  | ( k04_buttercup10619 @ SX0 ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK110_X19 )
                                          | ~ ( k04_buttercup10619 @ sK110_X19 ) )
                                    | ~ ( k04_buttercup10619 @ sK111_SY213 ) )
                              | ~ ~ ( b48_buttercup10111 @ sK111_SY213 ) )
                        | ~ ~ ( k04_buttercup10619 @ sK112_SY215 ) )
                  | ~ ( b48_buttercup10111 @ sK112_SY215 ) ) )
          | ~ ( ! [SX0: $i] :
                  ( ~ ( k04_buttercup10619 @ SX0 )
                  | ~ ( b48_buttercup10111 @ SX0 ) )
              | ~ ( ~ ( b48_buttercup10111 @ sK109_X25 )
                  | ~ ~ ( k04_buttercup10619 @ sK109_X25 ) )
              | ~ ( ~ ( k04_buttercup10619 @ sK108_X23 )
                  | ~ ~ ( b48_buttercup10111 @ sK108_X23 ) )
              | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                                          | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                                    | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
                              | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) )
                        | ~ ~ ( k04_buttercup10619 @ sK107_SY212 ) )
                  | ~ ( b48_buttercup10111 @ sK107_SY212 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[528]) ).

thf(620,plain,
    ! [SV10: $i] :
      ( ( ( k04_buttercup10619 @ SV10 )
        = $false )
      | ( ( k04_buttercup10100 @ SV10 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[538]) ).

thf(621,plain,
    ! [SV11: $i] :
      ( ( ( k04_buttercup10622 @ SV11 )
        = $false )
      | ( ( k04_buttercup10620 @ SV11 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[539]) ).

thf(622,plain,
    ! [SV12: $i] :
      ( ( ( k04_buttercup10620 @ SV12 )
        = $false )
      | ( ( k04_buttercup10622 @ SV12 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[540]) ).

thf(623,plain,
    ! [SV13: $i] :
      ( ( ( k04_buttercup10100 @ SV13 )
        = $false )
      | ( ( k04_buttercup10619 @ SV13 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[541]) ).

thf(624,plain,
    ! [SV14: $i] :
      ( ( ( b48_buttercup10104 @ SV14 )
        = $false )
      | ( ( b48_buttercup10102 @ SV14 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[542]) ).

thf(625,plain,
    ! [SV15: $i] :
      ( ( ( b48_buttercup10107 @ SV15 )
        = $false )
      | ( ( b48_buttercup10102 @ SV15 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[543]) ).

thf(626,plain,
    ! [SV16: $i] :
      ( ( ( b48_buttercup10108 @ SV16 )
        = $false )
      | ( ( b48_buttercup10102 @ SV16 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[544]) ).

thf(627,plain,
    ! [SV17: $i] :
      ( ( ( b48_buttercup10109 @ SV17 )
        = $false )
      | ( ( b48_buttercup10102 @ SV17 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[545]) ).

thf(628,plain,
    ! [SV18: $i] :
      ( ( ( b48_buttercup10110 @ SV18 )
        = $false )
      | ( ( b48_buttercup10102 @ SV18 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[546]) ).

thf(629,plain,
    ! [SV19: $i] :
      ( ( ( b48_buttercup10111 @ SV19 )
        = $false )
      | ( ( b48_buttercup10102 @ SV19 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[547]) ).

thf(630,plain,
    ! [SV20: $i] :
      ( ( ( b48_buttercup10102 @ SV20 )
        = $false )
      | ( ( b48_buttercup10104 @ SV20 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[548]) ).

thf(631,plain,
    ! [SV21: $i] :
      ( ( ( b48_buttercup10107 @ SV21 )
        = $false )
      | ( ( b48_buttercup10104 @ SV21 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[549]) ).

thf(632,plain,
    ! [SV22: $i] :
      ( ( ( b48_buttercup10108 @ SV22 )
        = $false )
      | ( ( b48_buttercup10104 @ SV22 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[550]) ).

thf(633,plain,
    ! [SV23: $i] :
      ( ( ( b48_buttercup10109 @ SV23 )
        = $false )
      | ( ( b48_buttercup10104 @ SV23 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[551]) ).

thf(634,plain,
    ! [SV24: $i] :
      ( ( ( b48_buttercup10110 @ SV24 )
        = $false )
      | ( ( b48_buttercup10104 @ SV24 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[552]) ).

thf(635,plain,
    ! [SV25: $i] :
      ( ( ( b48_buttercup10111 @ SV25 )
        = $false )
      | ( ( b48_buttercup10104 @ SV25 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[553]) ).

thf(636,plain,
    ! [SV26: $i] :
      ( ( ( b48_buttercup10102 @ SV26 )
        = $false )
      | ( ( b48_buttercup10107 @ SV26 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[554]) ).

thf(637,plain,
    ! [SV27: $i] :
      ( ( ( b48_buttercup10104 @ SV27 )
        = $false )
      | ( ( b48_buttercup10107 @ SV27 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[555]) ).

thf(638,plain,
    ! [SV28: $i] :
      ( ( ( b48_buttercup10108 @ SV28 )
        = $false )
      | ( ( b48_buttercup10107 @ SV28 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[556]) ).

thf(639,plain,
    ! [SV29: $i] :
      ( ( ( b48_buttercup10109 @ SV29 )
        = $false )
      | ( ( b48_buttercup10107 @ SV29 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[557]) ).

thf(640,plain,
    ! [SV30: $i] :
      ( ( ( b48_buttercup10110 @ SV30 )
        = $false )
      | ( ( b48_buttercup10107 @ SV30 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[558]) ).

thf(641,plain,
    ! [SV31: $i] :
      ( ( ( b48_buttercup10111 @ SV31 )
        = $false )
      | ( ( b48_buttercup10107 @ SV31 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[559]) ).

thf(642,plain,
    ! [SV32: $i] :
      ( ( ( b48_buttercup10102 @ SV32 )
        = $false )
      | ( ( b48_buttercup10108 @ SV32 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[560]) ).

thf(643,plain,
    ! [SV33: $i] :
      ( ( ( b48_buttercup10104 @ SV33 )
        = $false )
      | ( ( b48_buttercup10108 @ SV33 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[561]) ).

thf(644,plain,
    ! [SV34: $i] :
      ( ( ( b48_buttercup10107 @ SV34 )
        = $false )
      | ( ( b48_buttercup10108 @ SV34 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[562]) ).

thf(645,plain,
    ! [SV35: $i] :
      ( ( ( b48_buttercup10109 @ SV35 )
        = $false )
      | ( ( b48_buttercup10108 @ SV35 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[563]) ).

thf(646,plain,
    ! [SV36: $i] :
      ( ( ( b48_buttercup10110 @ SV36 )
        = $false )
      | ( ( b48_buttercup10108 @ SV36 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[564]) ).

thf(647,plain,
    ! [SV37: $i] :
      ( ( ( b48_buttercup10111 @ SV37 )
        = $false )
      | ( ( b48_buttercup10108 @ SV37 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[565]) ).

thf(648,plain,
    ! [SV38: $i] :
      ( ( ( b48_buttercup10102 @ SV38 )
        = $false )
      | ( ( b48_buttercup10109 @ SV38 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[566]) ).

thf(649,plain,
    ! [SV39: $i] :
      ( ( ( b48_buttercup10104 @ SV39 )
        = $false )
      | ( ( b48_buttercup10109 @ SV39 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[567]) ).

thf(650,plain,
    ! [SV40: $i] :
      ( ( ( b48_buttercup10107 @ SV40 )
        = $false )
      | ( ( b48_buttercup10109 @ SV40 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[568]) ).

thf(651,plain,
    ! [SV41: $i] :
      ( ( ( b48_buttercup10108 @ SV41 )
        = $false )
      | ( ( b48_buttercup10109 @ SV41 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[569]) ).

thf(652,plain,
    ! [SV42: $i] :
      ( ( ( b48_buttercup10110 @ SV42 )
        = $false )
      | ( ( b48_buttercup10109 @ SV42 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[570]) ).

thf(653,plain,
    ! [SV43: $i] :
      ( ( ( b48_buttercup10111 @ SV43 )
        = $false )
      | ( ( b48_buttercup10109 @ SV43 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[571]) ).

thf(654,plain,
    ! [SV44: $i] :
      ( ( ( b48_buttercup10102 @ SV44 )
        = $false )
      | ( ( b48_buttercup10110 @ SV44 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[572]) ).

thf(655,plain,
    ! [SV45: $i] :
      ( ( ( b48_buttercup10104 @ SV45 )
        = $false )
      | ( ( b48_buttercup10110 @ SV45 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[573]) ).

thf(656,plain,
    ! [SV46: $i] :
      ( ( ( b48_buttercup10107 @ SV46 )
        = $false )
      | ( ( b48_buttercup10110 @ SV46 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[574]) ).

thf(657,plain,
    ! [SV47: $i] :
      ( ( ( b48_buttercup10108 @ SV47 )
        = $false )
      | ( ( b48_buttercup10110 @ SV47 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[575]) ).

thf(658,plain,
    ! [SV48: $i] :
      ( ( ( b48_buttercup10109 @ SV48 )
        = $false )
      | ( ( b48_buttercup10110 @ SV48 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[576]) ).

thf(659,plain,
    ! [SV49: $i] :
      ( ( ( b48_buttercup10111 @ SV49 )
        = $false )
      | ( ( b48_buttercup10110 @ SV49 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[577]) ).

thf(660,plain,
    ! [SV50: $i] :
      ( ( ( b48_buttercup10102 @ SV50 )
        = $false )
      | ( ( b48_buttercup10111 @ SV50 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[578]) ).

thf(661,plain,
    ! [SV51: $i] :
      ( ( ( b48_buttercup10104 @ SV51 )
        = $false )
      | ( ( b48_buttercup10111 @ SV51 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[579]) ).

thf(662,plain,
    ! [SV52: $i] :
      ( ( ( b48_buttercup10107 @ SV52 )
        = $false )
      | ( ( b48_buttercup10111 @ SV52 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[580]) ).

thf(663,plain,
    ! [SV53: $i] :
      ( ( ( b48_buttercup10108 @ SV53 )
        = $false )
      | ( ( b48_buttercup10111 @ SV53 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[581]) ).

thf(664,plain,
    ! [SV54: $i] :
      ( ( ( b48_buttercup10109 @ SV54 )
        = $false )
      | ( ( b48_buttercup10111 @ SV54 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[582]) ).

thf(665,plain,
    ! [SV55: $i] :
      ( ( ( b48_buttercup10110 @ SV55 )
        = $false )
      | ( ( b48_buttercup10111 @ SV55 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[583]) ).

thf(666,plain,
    ! [SV56: $i] :
      ( ( ( k04_buttercup10620 @ SV56 )
        = $true )
      | ( ( k04_buttercup10622 @ SV56 )
        = $true )
      | ( ( k04_buttercup10619 @ SV56 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[584]) ).

thf(667,plain,
    ! [SV57: $i] :
      ( ( ( b48_buttercup10111 @ SV57 )
        = $true )
      | ( ( ( b48_buttercup10110 @ SV57 )
          | ( b48_buttercup10109 @ SV57 )
          | ( b48_buttercup10108 @ SV57 )
          | ( b48_buttercup10107 @ SV57 )
          | ( b48_buttercup10102 @ SV57 )
          | ( b48_buttercup10104 @ SV57 ) )
        = $true )
      | ( ( b48_buttercup10098 @ SV57 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[585]) ).

thf(668,plain,
    ( ( ~ ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ~ ( b48_buttercup10102 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10102 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10102 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK48_X63 )
                                      | ~ ( k04_buttercup10100 @ sK48_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK49_SY171 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK49_SY171 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK50_SY173 ) )
              | ~ ( b48_buttercup10102 @ sK50_SY173 ) ) )
      | ~ ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ~ ( b48_buttercup10102 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10102 @ SX0 ) )
          | ~ ( ~ ( k04_buttercup10100 @ sK47_X67 )
              | ~ ~ ( b48_buttercup10102 @ sK47_X67 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK44_X63 )
                                      | ~ ( k04_buttercup10100 @ sK44_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK45_SY168 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK45_SY168 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK46_SY170 ) )
              | ~ ( b48_buttercup10102 @ sK46_SY170 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[586]) ).

thf(669,plain,
    ( ( ~ ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ~ ( b48_buttercup10102 @ SX0 ) )
          | ~ ( ~ ( b48_buttercup10102 @ sK43_X69 )
              | ~ ~ ( k04_buttercup10100 @ sK43_X69 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10102 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK40_X63 )
                                      | ~ ( k04_buttercup10100 @ sK40_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK41_SY165 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK41_SY165 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK42_SY167 ) )
              | ~ ( b48_buttercup10102 @ sK42_SY167 ) ) )
      | ~ ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ~ ( b48_buttercup10102 @ SX0 ) )
          | ~ ( ~ ( b48_buttercup10102 @ sK39_X69 )
              | ~ ~ ( k04_buttercup10100 @ sK39_X69 ) )
          | ~ ( ~ ( k04_buttercup10100 @ sK38_X67 )
              | ~ ~ ( b48_buttercup10102 @ sK38_X67 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                                      | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK37_SY164 ) )
              | ~ ( b48_buttercup10102 @ sK37_SY164 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[587]) ).

thf(670,plain,
    ! [SV58: $i] :
      ( ( ~ ( b48_buttercup10104 @ SV58 )
        | ( k04_buttercup10622 @ SV58 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[588]) ).

thf(671,plain,
    ( ( ~ ( k04_buttercup10622 @ sK54_X56 )
      | ~ ~ ( b48_buttercup10104 @ sK54_X56 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[589]) ).

thf(672,plain,
    ( ( ~ ( k04_buttercup10100 @ sK3_X149 )
      | ~ ( b48_buttercup10098 @ sK3_X149 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[590]) ).

thf(673,plain,
    ( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
            ( ~ ( b48_buttercup10098 @ SX0 )
            | ~ ( k04_buttercup10100 @ SX0 )
            | ~ ( k04_buttercup10100 @ SX1 )
            | ( b48_buttercup10098 @ SX1 )
            | ( k04_buttercup10100 @ SX2 )
            | ~ ( b48_buttercup10098 @ SX2 ) )
      | ~ ~ ( ~ ~ ( ~ ( sK5_REN
                      | ! [SX0: $i] :
                          ( ~ ( k04_buttercup10100 @ SX0 )
                          | ( b48_buttercup10098 @ SX0 ) ) )
                  | ~ ( ~ sK5_REN
                      | ~ ( ~ ( b48_buttercup10098 @ sK2_X142 )
                          | ~ ~ ( k04_buttercup10100 @ sK2_X142 ) ) ) )
            | ~ ~ ( ~ ( sK4_REN
                      | ! [SX0: $i] :
                          ( ~ ( b48_buttercup10098 @ SX0 )
                          | ( k04_buttercup10100 @ SX0 ) ) )
                  | ~ ( ~ sK4_REN
                      | ~ ( ~ ( k04_buttercup10100 @ sK1_X144 )
                          | ~ ~ ( b48_buttercup10098 @ sK1_X144 ) ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[591]) ).

thf(674,plain,
    ! [SV59: $i] :
      ( ( ~ ( b48_buttercup10107 @ SV59 )
        | ( k04_buttercup10620 @ SV59 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[592]) ).

thf(675,plain,
    ! [SV60: $i] :
      ( ( ~ ( k04_buttercup10620 @ SV60 )
        | ( b48_buttercup10107 @ SV60 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[593]) ).

thf(676,plain,
    ! [SV61: $i] :
      ( ( ~ ( k04_buttercup10100 @ SV61 )
        | ( b48_buttercup10098 @ SV61 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[594]) ).

thf(677,plain,
    ( ( ~ ( b48_buttercup10098 @ sK51_X62 )
      | ~ ~ ( k04_buttercup10100 @ sK51_X62 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[595]) ).

thf(678,plain,
    ( ( ~ ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10619 @ SX0 )
              | ~ ( b48_buttercup10109 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( k04_buttercup10619 @ SX0 )
              | ( b48_buttercup10109 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10109 @ SX0 )
              | ( k04_buttercup10619 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK101_X29 )
                                      | ~ ( k04_buttercup10619 @ sK101_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK102_SY207 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK102_SY207 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK103_SY209 ) )
              | ~ ( b48_buttercup10109 @ sK103_SY209 ) ) )
      | ~ ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10619 @ SX0 )
              | ~ ( b48_buttercup10109 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( k04_buttercup10619 @ SX0 )
              | ( b48_buttercup10109 @ SX0 ) )
          | ~ ( ~ ( k04_buttercup10619 @ sK100_X33 )
              | ~ ~ ( b48_buttercup10109 @ sK100_X33 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK97_X29 )
                                      | ~ ( k04_buttercup10619 @ sK97_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK98_SY204 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK98_SY204 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK99_SY206 ) )
              | ~ ( b48_buttercup10109 @ sK99_SY206 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[596]) ).

thf(679,plain,
    ( ( ~ ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10619 @ SX0 )
              | ~ ( b48_buttercup10109 @ SX0 ) )
          | ~ ( ~ ( b48_buttercup10109 @ sK96_X35 )
              | ~ ~ ( k04_buttercup10619 @ sK96_X35 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10109 @ SX0 )
              | ( k04_buttercup10619 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK93_X29 )
                                      | ~ ( k04_buttercup10619 @ sK93_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK94_SY201 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK94_SY201 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK95_SY203 ) )
              | ~ ( b48_buttercup10109 @ sK95_SY203 ) ) )
      | ~ ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10619 @ SX0 )
              | ~ ( b48_buttercup10109 @ SX0 ) )
          | ~ ( ~ ( b48_buttercup10109 @ sK92_X35 )
              | ~ ~ ( k04_buttercup10619 @ sK92_X35 ) )
          | ~ ( ~ ( k04_buttercup10619 @ sK91_X33 )
              | ~ ~ ( b48_buttercup10109 @ sK91_X33 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                                      | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK90_SY200 ) )
              | ~ ( b48_buttercup10109 @ sK90_SY200 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[597]) ).

thf(680,plain,
    ! [SV62: $i] :
      ( ( ~ ( b48_buttercup10109 @ SV62 )
        | ( k04_buttercup10100 @ SV62 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[598]) ).

thf(681,plain,
    ( ( ~ ( k04_buttercup10100 @ sK121_X18 )
      | ~ ~ ( b48_buttercup10109 @ sK121_X18 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[599]) ).

thf(682,plain,
    ! [SV63: $i] :
      ( ( ~ ( b48_buttercup10111 @ SV63 )
        | ( k04_buttercup10100 @ SV63 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[600]) ).

thf(683,plain,
    ( ( ~ ( k04_buttercup10100 @ sK87_X38 )
      | ~ ~ ( b48_buttercup10111 @ sK87_X38 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[601]) ).

thf(684,plain,
    ! [SV64: $i] :
      ( ( ~ ( b48_buttercup10102 @ SV64 )
        | ( k04_buttercup10622 @ SV64 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[602]) ).

thf(685,plain,
    ( ( ~ ( k04_buttercup10622 @ sK34_X72 )
      | ~ ~ ( b48_buttercup10102 @ sK34_X72 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[603]) ).

thf(686,plain,
    ! [SV65: $i] :
      ( ( ~ ( k04_buttercup10619 @ SV65 )
        | ( b48_buttercup10098 @ SV65 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[604]) ).

thf(687,plain,
    ( ( ~ ( b48_buttercup10098 @ sK104_X28 )
      | ~ ~ ( k04_buttercup10619 @ sK104_X28 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[605]) ).

thf(688,plain,
    ( ( ~ ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ~ ( b48_buttercup10107 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10107 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10107 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK31_X74 )
                                      | ~ ( k04_buttercup10100 @ sK31_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK32_SY159 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK32_SY159 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK33_SY161 ) )
              | ~ ( b48_buttercup10107 @ sK33_SY161 ) ) )
      | ~ ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ~ ( b48_buttercup10107 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10107 @ SX0 ) )
          | ~ ( ~ ( k04_buttercup10100 @ sK30_X78 )
              | ~ ~ ( b48_buttercup10107 @ sK30_X78 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK27_X74 )
                                      | ~ ( k04_buttercup10100 @ sK27_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK28_SY156 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK28_SY156 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK29_SY158 ) )
              | ~ ( b48_buttercup10107 @ sK29_SY158 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[606]) ).

thf(689,plain,
    ( ( ~ ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ~ ( b48_buttercup10107 @ SX0 ) )
          | ~ ( ~ ( b48_buttercup10107 @ sK26_X80 )
              | ~ ~ ( k04_buttercup10100 @ sK26_X80 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10107 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK23_X74 )
                                      | ~ ( k04_buttercup10100 @ sK23_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK24_SY153 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK24_SY153 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK25_SY155 ) )
              | ~ ( b48_buttercup10107 @ sK25_SY155 ) ) )
      | ~ ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ~ ( b48_buttercup10107 @ SX0 ) )
          | ~ ( ~ ( b48_buttercup10107 @ sK22_X80 )
              | ~ ~ ( k04_buttercup10100 @ sK22_X80 ) )
          | ~ ( ~ ( k04_buttercup10100 @ sK21_X78 )
              | ~ ~ ( b48_buttercup10107 @ sK21_X78 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                                      | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK20_SY152 ) )
              | ~ ( b48_buttercup10107 @ sK20_SY152 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[607]) ).

thf(690,plain,
    ( ( ~ ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ~ ( b48_buttercup10104 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10104 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10104 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK135_X9 )
                                      | ~ ( k04_buttercup10100 @ sK135_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK136_SY231 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK136_SY231 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK137_SY233 ) )
              | ~ ( b48_buttercup10104 @ sK137_SY233 ) ) )
      | ~ ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ~ ( b48_buttercup10104 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10104 @ SX0 ) )
          | ~ ( ~ ( k04_buttercup10100 @ sK134_X13 )
              | ~ ~ ( b48_buttercup10104 @ sK134_X13 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK131_X9 )
                                      | ~ ( k04_buttercup10100 @ sK131_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK132_SY228 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK132_SY228 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK133_SY230 ) )
              | ~ ( b48_buttercup10104 @ sK133_SY230 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[608]) ).

thf(691,plain,
    ( ( ~ ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ~ ( b48_buttercup10104 @ SX0 ) )
          | ~ ( ~ ( b48_buttercup10104 @ sK130_X15 )
              | ~ ~ ( k04_buttercup10100 @ sK130_X15 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10104 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK127_X9 )
                                      | ~ ( k04_buttercup10100 @ sK127_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK128_SY225 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK128_SY225 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK129_SY227 ) )
              | ~ ( b48_buttercup10104 @ sK129_SY227 ) ) )
      | ~ ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ~ ( b48_buttercup10104 @ SX0 ) )
          | ~ ( ~ ( b48_buttercup10104 @ sK126_X15 )
              | ~ ~ ( k04_buttercup10100 @ sK126_X15 ) )
          | ~ ( ~ ( k04_buttercup10100 @ sK125_X13 )
              | ~ ~ ( b48_buttercup10104 @ sK125_X13 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                                      | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK124_SY224 ) )
              | ~ ( b48_buttercup10104 @ sK124_SY224 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[609]) ).

thf(692,plain,
    ( ( ~ ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ~ ( b48_buttercup10110 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10110 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10110 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK68_X47 )
                                      | ~ ( k04_buttercup10100 @ sK68_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK69_SY183 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK69_SY183 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK70_SY185 ) )
              | ~ ( b48_buttercup10110 @ sK70_SY185 ) ) )
      | ~ ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ~ ( b48_buttercup10110 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10110 @ SX0 ) )
          | ~ ( ~ ( k04_buttercup10100 @ sK67_X51 )
              | ~ ~ ( b48_buttercup10110 @ sK67_X51 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK64_X47 )
                                      | ~ ( k04_buttercup10100 @ sK64_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK65_SY180 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK65_SY180 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK66_SY182 ) )
              | ~ ( b48_buttercup10110 @ sK66_SY182 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[610]) ).

thf(693,plain,
    ( ( ~ ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ~ ( b48_buttercup10110 @ SX0 ) )
          | ~ ( ~ ( b48_buttercup10110 @ sK63_X53 )
              | ~ ~ ( k04_buttercup10100 @ sK63_X53 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10110 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK60_X47 )
                                      | ~ ( k04_buttercup10100 @ sK60_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK61_SY177 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK61_SY177 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK62_SY179 ) )
              | ~ ( b48_buttercup10110 @ sK62_SY179 ) ) )
      | ~ ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ~ ( b48_buttercup10110 @ SX0 ) )
          | ~ ( ~ ( b48_buttercup10110 @ sK59_X53 )
              | ~ ~ ( k04_buttercup10100 @ sK59_X53 ) )
          | ~ ( ~ ( k04_buttercup10100 @ sK58_X51 )
              | ~ ~ ( b48_buttercup10110 @ sK58_X51 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                                      | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK57_SY176 ) )
              | ~ ( b48_buttercup10110 @ sK57_SY176 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[611]) ).

thf(694,plain,
    ( ( ~ ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ~ ( b48_buttercup10108 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10108 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10108 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK84_X39 )
                                      | ~ ( k04_buttercup10100 @ sK84_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK85_SY195 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK85_SY195 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK86_SY197 ) )
              | ~ ( b48_buttercup10108 @ sK86_SY197 ) ) )
      | ~ ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ~ ( b48_buttercup10108 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10108 @ SX0 ) )
          | ~ ( ~ ( k04_buttercup10100 @ sK83_X43 )
              | ~ ~ ( b48_buttercup10108 @ sK83_X43 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK80_X39 )
                                      | ~ ( k04_buttercup10100 @ sK80_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK81_SY192 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK81_SY192 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK82_SY194 ) )
              | ~ ( b48_buttercup10108 @ sK82_SY194 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[612]) ).

thf(695,plain,
    ( ( ~ ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ~ ( b48_buttercup10108 @ SX0 ) )
          | ~ ( ~ ( b48_buttercup10108 @ sK79_X45 )
              | ~ ~ ( k04_buttercup10100 @ sK79_X45 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10108 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK76_X39 )
                                      | ~ ( k04_buttercup10100 @ sK76_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK77_SY189 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK77_SY189 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK78_SY191 ) )
              | ~ ( b48_buttercup10108 @ sK78_SY191 ) ) )
      | ~ ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ~ ( b48_buttercup10108 @ SX0 ) )
          | ~ ( ~ ( b48_buttercup10108 @ sK75_X45 )
              | ~ ~ ( k04_buttercup10100 @ sK75_X45 ) )
          | ~ ( ~ ( k04_buttercup10100 @ sK74_X43 )
              | ~ ~ ( b48_buttercup10108 @ sK74_X43 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                                      | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK73_SY188 ) )
              | ~ ( b48_buttercup10108 @ sK73_SY188 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[613]) ).

thf(696,plain,
    ! [SV66: $i] :
      ( ( ~ ( b48_buttercup10108 @ SV66 )
        | ( k04_buttercup10622 @ SV66 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[614]) ).

thf(697,plain,
    ( ( ~ ( k04_buttercup10622 @ sK52_X60 )
      | ~ ~ ( b48_buttercup10108 @ sK52_X60 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[615]) ).

thf(698,plain,
    ! [SV67: $i] :
      ( ( ~ ( b48_buttercup10110 @ SV67 )
        | ( k04_buttercup10622 @ SV67 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[616]) ).

thf(699,plain,
    ( ( ~ ( k04_buttercup10622 @ sK53_X58 )
      | ~ ~ ( b48_buttercup10110 @ sK53_X58 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[617]) ).

thf(700,plain,
    ( ( ~ ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10619 @ SX0 )
              | ~ ( b48_buttercup10111 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( k04_buttercup10619 @ SX0 )
              | ( b48_buttercup10111 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10111 @ SX0 )
              | ( k04_buttercup10619 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK118_X19 )
                                      | ~ ( k04_buttercup10619 @ sK118_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK119_SY219 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK119_SY219 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK120_SY221 ) )
              | ~ ( b48_buttercup10111 @ sK120_SY221 ) ) )
      | ~ ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10619 @ SX0 )
              | ~ ( b48_buttercup10111 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( k04_buttercup10619 @ SX0 )
              | ( b48_buttercup10111 @ SX0 ) )
          | ~ ( ~ ( k04_buttercup10619 @ sK117_X23 )
              | ~ ~ ( b48_buttercup10111 @ sK117_X23 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK114_X19 )
                                      | ~ ( k04_buttercup10619 @ sK114_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK115_SY216 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK115_SY216 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK116_SY218 ) )
              | ~ ( b48_buttercup10111 @ sK116_SY218 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[618]) ).

thf(701,plain,
    ( ( ~ ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10619 @ SX0 )
              | ~ ( b48_buttercup10111 @ SX0 ) )
          | ~ ( ~ ( b48_buttercup10111 @ sK113_X25 )
              | ~ ~ ( k04_buttercup10619 @ sK113_X25 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10111 @ SX0 )
              | ( k04_buttercup10619 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK110_X19 )
                                      | ~ ( k04_buttercup10619 @ sK110_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK111_SY213 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK111_SY213 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK112_SY215 ) )
              | ~ ( b48_buttercup10111 @ sK112_SY215 ) ) )
      | ~ ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10619 @ SX0 )
              | ~ ( b48_buttercup10111 @ SX0 ) )
          | ~ ( ~ ( b48_buttercup10111 @ sK109_X25 )
              | ~ ~ ( k04_buttercup10619 @ sK109_X25 ) )
          | ~ ( ~ ( k04_buttercup10619 @ sK108_X23 )
              | ~ ~ ( b48_buttercup10111 @ sK108_X23 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                                      | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK107_SY212 ) )
              | ~ ( b48_buttercup10111 @ sK107_SY212 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[619]) ).

thf(702,plain,
    ! [SV57: $i] :
      ( ( ( b48_buttercup10110 @ SV57 )
        = $true )
      | ( ( ( b48_buttercup10109 @ SV57 )
          | ( b48_buttercup10108 @ SV57 )
          | ( b48_buttercup10107 @ SV57 )
          | ( b48_buttercup10102 @ SV57 )
          | ( b48_buttercup10104 @ SV57 ) )
        = $true )
      | ( ( b48_buttercup10111 @ SV57 )
        = $true )
      | ( ( b48_buttercup10098 @ SV57 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[667]) ).

thf(703,plain,
    ( ( ~ ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ~ ( b48_buttercup10102 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10102 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10102 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK48_X63 )
                                      | ~ ( k04_buttercup10100 @ sK48_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK49_SY171 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK49_SY171 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK50_SY173 ) )
              | ~ ( b48_buttercup10102 @ sK50_SY173 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[668]) ).

thf(704,plain,
    ( ( ~ ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ~ ( b48_buttercup10102 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10102 @ SX0 ) )
          | ~ ( ~ ( k04_buttercup10100 @ sK47_X67 )
              | ~ ~ ( b48_buttercup10102 @ sK47_X67 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK44_X63 )
                                      | ~ ( k04_buttercup10100 @ sK44_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK45_SY168 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK45_SY168 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK46_SY170 ) )
              | ~ ( b48_buttercup10102 @ sK46_SY170 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[668]) ).

thf(705,plain,
    ( ( ~ ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ~ ( b48_buttercup10102 @ SX0 ) )
          | ~ ( ~ ( b48_buttercup10102 @ sK43_X69 )
              | ~ ~ ( k04_buttercup10100 @ sK43_X69 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10102 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK40_X63 )
                                      | ~ ( k04_buttercup10100 @ sK40_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK41_SY165 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK41_SY165 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK42_SY167 ) )
              | ~ ( b48_buttercup10102 @ sK42_SY167 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[669]) ).

thf(706,plain,
    ( ( ~ ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ~ ( b48_buttercup10102 @ SX0 ) )
          | ~ ( ~ ( b48_buttercup10102 @ sK39_X69 )
              | ~ ~ ( k04_buttercup10100 @ sK39_X69 ) )
          | ~ ( ~ ( k04_buttercup10100 @ sK38_X67 )
              | ~ ~ ( b48_buttercup10102 @ sK38_X67 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                                      | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK37_SY164 ) )
              | ~ ( b48_buttercup10102 @ sK37_SY164 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[669]) ).

thf(707,plain,
    ! [SV58: $i] :
      ( ( ( ~ ( b48_buttercup10104 @ SV58 ) )
        = $true )
      | ( ( k04_buttercup10622 @ SV58 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[670]) ).

thf(708,plain,
    ( ( ~ ( k04_buttercup10622 @ sK54_X56 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[671]) ).

thf(709,plain,
    ( ( ~ ~ ( b48_buttercup10104 @ sK54_X56 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[671]) ).

thf(710,plain,
    ( ( ~ ( k04_buttercup10100 @ sK3_X149 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[672]) ).

thf(711,plain,
    ( ( ~ ( b48_buttercup10098 @ sK3_X149 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[672]) ).

thf(712,plain,
    ( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
            ( ~ ( b48_buttercup10098 @ SX0 )
            | ~ ( k04_buttercup10100 @ SX0 )
            | ~ ( k04_buttercup10100 @ SX1 )
            | ( b48_buttercup10098 @ SX1 )
            | ( k04_buttercup10100 @ SX2 )
            | ~ ( b48_buttercup10098 @ SX2 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[673]) ).

thf(713,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ( sK5_REN
                      | ! [SX0: $i] :
                          ( ~ ( k04_buttercup10100 @ SX0 )
                          | ( b48_buttercup10098 @ SX0 ) ) )
                  | ~ ( ~ sK5_REN
                      | ~ ( ~ ( b48_buttercup10098 @ sK2_X142 )
                          | ~ ~ ( k04_buttercup10100 @ sK2_X142 ) ) ) )
            | ~ ~ ( ~ ( sK4_REN
                      | ! [SX0: $i] :
                          ( ~ ( b48_buttercup10098 @ SX0 )
                          | ( k04_buttercup10100 @ SX0 ) ) )
                  | ~ ( ~ sK4_REN
                      | ~ ( ~ ( k04_buttercup10100 @ sK1_X144 )
                          | ~ ~ ( b48_buttercup10098 @ sK1_X144 ) ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[673]) ).

thf(714,plain,
    ! [SV59: $i] :
      ( ( ( ~ ( b48_buttercup10107 @ SV59 ) )
        = $true )
      | ( ( k04_buttercup10620 @ SV59 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[674]) ).

thf(715,plain,
    ! [SV60: $i] :
      ( ( ( ~ ( k04_buttercup10620 @ SV60 ) )
        = $true )
      | ( ( b48_buttercup10107 @ SV60 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[675]) ).

thf(716,plain,
    ! [SV61: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV61 ) )
        = $true )
      | ( ( b48_buttercup10098 @ SV61 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[676]) ).

thf(717,plain,
    ( ( ~ ( b48_buttercup10098 @ sK51_X62 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[677]) ).

thf(718,plain,
    ( ( ~ ~ ( k04_buttercup10100 @ sK51_X62 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[677]) ).

thf(719,plain,
    ( ( ~ ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10619 @ SX0 )
              | ~ ( b48_buttercup10109 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( k04_buttercup10619 @ SX0 )
              | ( b48_buttercup10109 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10109 @ SX0 )
              | ( k04_buttercup10619 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK101_X29 )
                                      | ~ ( k04_buttercup10619 @ sK101_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK102_SY207 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK102_SY207 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK103_SY209 ) )
              | ~ ( b48_buttercup10109 @ sK103_SY209 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[678]) ).

thf(720,plain,
    ( ( ~ ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10619 @ SX0 )
              | ~ ( b48_buttercup10109 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( k04_buttercup10619 @ SX0 )
              | ( b48_buttercup10109 @ SX0 ) )
          | ~ ( ~ ( k04_buttercup10619 @ sK100_X33 )
              | ~ ~ ( b48_buttercup10109 @ sK100_X33 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK97_X29 )
                                      | ~ ( k04_buttercup10619 @ sK97_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK98_SY204 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK98_SY204 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK99_SY206 ) )
              | ~ ( b48_buttercup10109 @ sK99_SY206 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[678]) ).

thf(721,plain,
    ( ( ~ ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10619 @ SX0 )
              | ~ ( b48_buttercup10109 @ SX0 ) )
          | ~ ( ~ ( b48_buttercup10109 @ sK96_X35 )
              | ~ ~ ( k04_buttercup10619 @ sK96_X35 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10109 @ SX0 )
              | ( k04_buttercup10619 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK93_X29 )
                                      | ~ ( k04_buttercup10619 @ sK93_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK94_SY201 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK94_SY201 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK95_SY203 ) )
              | ~ ( b48_buttercup10109 @ sK95_SY203 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[679]) ).

thf(722,plain,
    ( ( ~ ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10619 @ SX0 )
              | ~ ( b48_buttercup10109 @ SX0 ) )
          | ~ ( ~ ( b48_buttercup10109 @ sK92_X35 )
              | ~ ~ ( k04_buttercup10619 @ sK92_X35 ) )
          | ~ ( ~ ( k04_buttercup10619 @ sK91_X33 )
              | ~ ~ ( b48_buttercup10109 @ sK91_X33 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                                      | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK90_SY200 ) )
              | ~ ( b48_buttercup10109 @ sK90_SY200 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[679]) ).

thf(723,plain,
    ! [SV62: $i] :
      ( ( ( ~ ( b48_buttercup10109 @ SV62 ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV62 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[680]) ).

thf(724,plain,
    ( ( ~ ( k04_buttercup10100 @ sK121_X18 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[681]) ).

thf(725,plain,
    ( ( ~ ~ ( b48_buttercup10109 @ sK121_X18 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[681]) ).

thf(726,plain,
    ! [SV63: $i] :
      ( ( ( ~ ( b48_buttercup10111 @ SV63 ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV63 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[682]) ).

thf(727,plain,
    ( ( ~ ( k04_buttercup10100 @ sK87_X38 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[683]) ).

thf(728,plain,
    ( ( ~ ~ ( b48_buttercup10111 @ sK87_X38 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[683]) ).

thf(729,plain,
    ! [SV64: $i] :
      ( ( ( ~ ( b48_buttercup10102 @ SV64 ) )
        = $true )
      | ( ( k04_buttercup10622 @ SV64 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[684]) ).

thf(730,plain,
    ( ( ~ ( k04_buttercup10622 @ sK34_X72 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[685]) ).

thf(731,plain,
    ( ( ~ ~ ( b48_buttercup10102 @ sK34_X72 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[685]) ).

thf(732,plain,
    ! [SV65: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ SV65 ) )
        = $true )
      | ( ( b48_buttercup10098 @ SV65 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[686]) ).

thf(733,plain,
    ( ( ~ ( b48_buttercup10098 @ sK104_X28 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[687]) ).

thf(734,plain,
    ( ( ~ ~ ( k04_buttercup10619 @ sK104_X28 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[687]) ).

thf(735,plain,
    ( ( ~ ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ~ ( b48_buttercup10107 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10107 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10107 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK31_X74 )
                                      | ~ ( k04_buttercup10100 @ sK31_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK32_SY159 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK32_SY159 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK33_SY161 ) )
              | ~ ( b48_buttercup10107 @ sK33_SY161 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[688]) ).

thf(736,plain,
    ( ( ~ ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ~ ( b48_buttercup10107 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10107 @ SX0 ) )
          | ~ ( ~ ( k04_buttercup10100 @ sK30_X78 )
              | ~ ~ ( b48_buttercup10107 @ sK30_X78 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK27_X74 )
                                      | ~ ( k04_buttercup10100 @ sK27_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK28_SY156 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK28_SY156 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK29_SY158 ) )
              | ~ ( b48_buttercup10107 @ sK29_SY158 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[688]) ).

thf(737,plain,
    ( ( ~ ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ~ ( b48_buttercup10107 @ SX0 ) )
          | ~ ( ~ ( b48_buttercup10107 @ sK26_X80 )
              | ~ ~ ( k04_buttercup10100 @ sK26_X80 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10107 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK23_X74 )
                                      | ~ ( k04_buttercup10100 @ sK23_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK24_SY153 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK24_SY153 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK25_SY155 ) )
              | ~ ( b48_buttercup10107 @ sK25_SY155 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[689]) ).

thf(738,plain,
    ( ( ~ ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ~ ( b48_buttercup10107 @ SX0 ) )
          | ~ ( ~ ( b48_buttercup10107 @ sK22_X80 )
              | ~ ~ ( k04_buttercup10100 @ sK22_X80 ) )
          | ~ ( ~ ( k04_buttercup10100 @ sK21_X78 )
              | ~ ~ ( b48_buttercup10107 @ sK21_X78 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                                      | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK20_SY152 ) )
              | ~ ( b48_buttercup10107 @ sK20_SY152 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[689]) ).

thf(739,plain,
    ( ( ~ ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ~ ( b48_buttercup10104 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10104 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10104 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK135_X9 )
                                      | ~ ( k04_buttercup10100 @ sK135_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK136_SY231 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK136_SY231 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK137_SY233 ) )
              | ~ ( b48_buttercup10104 @ sK137_SY233 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[690]) ).

thf(740,plain,
    ( ( ~ ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ~ ( b48_buttercup10104 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10104 @ SX0 ) )
          | ~ ( ~ ( k04_buttercup10100 @ sK134_X13 )
              | ~ ~ ( b48_buttercup10104 @ sK134_X13 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK131_X9 )
                                      | ~ ( k04_buttercup10100 @ sK131_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK132_SY228 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK132_SY228 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK133_SY230 ) )
              | ~ ( b48_buttercup10104 @ sK133_SY230 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[690]) ).

thf(741,plain,
    ( ( ~ ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ~ ( b48_buttercup10104 @ SX0 ) )
          | ~ ( ~ ( b48_buttercup10104 @ sK130_X15 )
              | ~ ~ ( k04_buttercup10100 @ sK130_X15 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10104 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK127_X9 )
                                      | ~ ( k04_buttercup10100 @ sK127_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK128_SY225 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK128_SY225 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK129_SY227 ) )
              | ~ ( b48_buttercup10104 @ sK129_SY227 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[691]) ).

thf(742,plain,
    ( ( ~ ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ~ ( b48_buttercup10104 @ SX0 ) )
          | ~ ( ~ ( b48_buttercup10104 @ sK126_X15 )
              | ~ ~ ( k04_buttercup10100 @ sK126_X15 ) )
          | ~ ( ~ ( k04_buttercup10100 @ sK125_X13 )
              | ~ ~ ( b48_buttercup10104 @ sK125_X13 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                                      | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK124_SY224 ) )
              | ~ ( b48_buttercup10104 @ sK124_SY224 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[691]) ).

thf(743,plain,
    ( ( ~ ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ~ ( b48_buttercup10110 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10110 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10110 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK68_X47 )
                                      | ~ ( k04_buttercup10100 @ sK68_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK69_SY183 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK69_SY183 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK70_SY185 ) )
              | ~ ( b48_buttercup10110 @ sK70_SY185 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[692]) ).

thf(744,plain,
    ( ( ~ ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ~ ( b48_buttercup10110 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10110 @ SX0 ) )
          | ~ ( ~ ( k04_buttercup10100 @ sK67_X51 )
              | ~ ~ ( b48_buttercup10110 @ sK67_X51 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK64_X47 )
                                      | ~ ( k04_buttercup10100 @ sK64_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK65_SY180 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK65_SY180 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK66_SY182 ) )
              | ~ ( b48_buttercup10110 @ sK66_SY182 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[692]) ).

thf(745,plain,
    ( ( ~ ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ~ ( b48_buttercup10110 @ SX0 ) )
          | ~ ( ~ ( b48_buttercup10110 @ sK63_X53 )
              | ~ ~ ( k04_buttercup10100 @ sK63_X53 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10110 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK60_X47 )
                                      | ~ ( k04_buttercup10100 @ sK60_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK61_SY177 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK61_SY177 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK62_SY179 ) )
              | ~ ( b48_buttercup10110 @ sK62_SY179 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[693]) ).

thf(746,plain,
    ( ( ~ ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ~ ( b48_buttercup10110 @ SX0 ) )
          | ~ ( ~ ( b48_buttercup10110 @ sK59_X53 )
              | ~ ~ ( k04_buttercup10100 @ sK59_X53 ) )
          | ~ ( ~ ( k04_buttercup10100 @ sK58_X51 )
              | ~ ~ ( b48_buttercup10110 @ sK58_X51 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                                      | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK57_SY176 ) )
              | ~ ( b48_buttercup10110 @ sK57_SY176 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[693]) ).

thf(747,plain,
    ( ( ~ ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ~ ( b48_buttercup10108 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10108 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10108 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK84_X39 )
                                      | ~ ( k04_buttercup10100 @ sK84_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK85_SY195 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK85_SY195 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK86_SY197 ) )
              | ~ ( b48_buttercup10108 @ sK86_SY197 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[694]) ).

thf(748,plain,
    ( ( ~ ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ~ ( b48_buttercup10108 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10108 @ SX0 ) )
          | ~ ( ~ ( k04_buttercup10100 @ sK83_X43 )
              | ~ ~ ( b48_buttercup10108 @ sK83_X43 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK80_X39 )
                                      | ~ ( k04_buttercup10100 @ sK80_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK81_SY192 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK81_SY192 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK82_SY194 ) )
              | ~ ( b48_buttercup10108 @ sK82_SY194 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[694]) ).

thf(749,plain,
    ( ( ~ ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ~ ( b48_buttercup10108 @ SX0 ) )
          | ~ ( ~ ( b48_buttercup10108 @ sK79_X45 )
              | ~ ~ ( k04_buttercup10100 @ sK79_X45 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10108 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK76_X39 )
                                      | ~ ( k04_buttercup10100 @ sK76_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK77_SY189 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK77_SY189 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK78_SY191 ) )
              | ~ ( b48_buttercup10108 @ sK78_SY191 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[695]) ).

thf(750,plain,
    ( ( ~ ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ~ ( b48_buttercup10108 @ SX0 ) )
          | ~ ( ~ ( b48_buttercup10108 @ sK75_X45 )
              | ~ ~ ( k04_buttercup10100 @ sK75_X45 ) )
          | ~ ( ~ ( k04_buttercup10100 @ sK74_X43 )
              | ~ ~ ( b48_buttercup10108 @ sK74_X43 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                                      | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK73_SY188 ) )
              | ~ ( b48_buttercup10108 @ sK73_SY188 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[695]) ).

thf(751,plain,
    ! [SV66: $i] :
      ( ( ( ~ ( b48_buttercup10108 @ SV66 ) )
        = $true )
      | ( ( k04_buttercup10622 @ SV66 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[696]) ).

thf(752,plain,
    ( ( ~ ( k04_buttercup10622 @ sK52_X60 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[697]) ).

thf(753,plain,
    ( ( ~ ~ ( b48_buttercup10108 @ sK52_X60 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[697]) ).

thf(754,plain,
    ! [SV67: $i] :
      ( ( ( ~ ( b48_buttercup10110 @ SV67 ) )
        = $true )
      | ( ( k04_buttercup10622 @ SV67 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[698]) ).

thf(755,plain,
    ( ( ~ ( k04_buttercup10622 @ sK53_X58 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[699]) ).

thf(756,plain,
    ( ( ~ ~ ( b48_buttercup10110 @ sK53_X58 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[699]) ).

thf(757,plain,
    ( ( ~ ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10619 @ SX0 )
              | ~ ( b48_buttercup10111 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( k04_buttercup10619 @ SX0 )
              | ( b48_buttercup10111 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10111 @ SX0 )
              | ( k04_buttercup10619 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK118_X19 )
                                      | ~ ( k04_buttercup10619 @ sK118_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK119_SY219 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK119_SY219 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK120_SY221 ) )
              | ~ ( b48_buttercup10111 @ sK120_SY221 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[700]) ).

thf(758,plain,
    ( ( ~ ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10619 @ SX0 )
              | ~ ( b48_buttercup10111 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( k04_buttercup10619 @ SX0 )
              | ( b48_buttercup10111 @ SX0 ) )
          | ~ ( ~ ( k04_buttercup10619 @ sK117_X23 )
              | ~ ~ ( b48_buttercup10111 @ sK117_X23 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK114_X19 )
                                      | ~ ( k04_buttercup10619 @ sK114_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK115_SY216 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK115_SY216 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK116_SY218 ) )
              | ~ ( b48_buttercup10111 @ sK116_SY218 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[700]) ).

thf(759,plain,
    ( ( ~ ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10619 @ SX0 )
              | ~ ( b48_buttercup10111 @ SX0 ) )
          | ~ ( ~ ( b48_buttercup10111 @ sK113_X25 )
              | ~ ~ ( k04_buttercup10619 @ sK113_X25 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10111 @ SX0 )
              | ( k04_buttercup10619 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK110_X19 )
                                      | ~ ( k04_buttercup10619 @ sK110_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK111_SY213 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK111_SY213 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK112_SY215 ) )
              | ~ ( b48_buttercup10111 @ sK112_SY215 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[701]) ).

thf(760,plain,
    ( ( ~ ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10619 @ SX0 )
              | ~ ( b48_buttercup10111 @ SX0 ) )
          | ~ ( ~ ( b48_buttercup10111 @ sK109_X25 )
              | ~ ~ ( k04_buttercup10619 @ sK109_X25 ) )
          | ~ ( ~ ( k04_buttercup10619 @ sK108_X23 )
              | ~ ~ ( b48_buttercup10111 @ sK108_X23 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                                      | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK107_SY212 ) )
              | ~ ( b48_buttercup10111 @ sK107_SY212 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[701]) ).

thf(761,plain,
    ! [SV57: $i] :
      ( ( ( b48_buttercup10109 @ SV57 )
        = $true )
      | ( ( ( b48_buttercup10108 @ SV57 )
          | ( b48_buttercup10107 @ SV57 )
          | ( b48_buttercup10102 @ SV57 )
          | ( b48_buttercup10104 @ SV57 ) )
        = $true )
      | ( ( b48_buttercup10110 @ SV57 )
        = $true )
      | ( ( b48_buttercup10111 @ SV57 )
        = $true )
      | ( ( b48_buttercup10098 @ SV57 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[702]) ).

thf(762,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( k04_buttercup10100 @ SX0 )
          | ~ ( b48_buttercup10102 @ SX0 ) )
      | ! [SX0: $i] :
          ( ~ ( k04_buttercup10100 @ SX0 )
          | ( b48_buttercup10102 @ SX0 ) )
      | ! [SX0: $i] :
          ( ~ ( b48_buttercup10102 @ SX0 )
          | ( k04_buttercup10100 @ SX0 ) )
      | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK48_X63 )
                                  | ~ ( k04_buttercup10100 @ sK48_X63 ) )
                            | ~ ( k04_buttercup10100 @ sK49_SY171 ) )
                      | ~ ~ ( b48_buttercup10102 @ sK49_SY171 ) )
                | ~ ~ ( k04_buttercup10100 @ sK50_SY173 ) )
          | ~ ( b48_buttercup10102 @ sK50_SY173 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[703]) ).

thf(763,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( k04_buttercup10100 @ SX0 )
          | ~ ( b48_buttercup10102 @ SX0 ) )
      | ! [SX0: $i] :
          ( ~ ( k04_buttercup10100 @ SX0 )
          | ( b48_buttercup10102 @ SX0 ) )
      | ~ ( ~ ( k04_buttercup10100 @ sK47_X67 )
          | ~ ~ ( b48_buttercup10102 @ sK47_X67 ) )
      | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK44_X63 )
                                  | ~ ( k04_buttercup10100 @ sK44_X63 ) )
                            | ~ ( k04_buttercup10100 @ sK45_SY168 ) )
                      | ~ ~ ( b48_buttercup10102 @ sK45_SY168 ) )
                | ~ ~ ( k04_buttercup10100 @ sK46_SY170 ) )
          | ~ ( b48_buttercup10102 @ sK46_SY170 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[704]) ).

thf(764,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( k04_buttercup10100 @ SX0 )
          | ~ ( b48_buttercup10102 @ SX0 ) )
      | ~ ( ~ ( b48_buttercup10102 @ sK43_X69 )
          | ~ ~ ( k04_buttercup10100 @ sK43_X69 ) )
      | ! [SX0: $i] :
          ( ~ ( b48_buttercup10102 @ SX0 )
          | ( k04_buttercup10100 @ SX0 ) )
      | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK40_X63 )
                                  | ~ ( k04_buttercup10100 @ sK40_X63 ) )
                            | ~ ( k04_buttercup10100 @ sK41_SY165 ) )
                      | ~ ~ ( b48_buttercup10102 @ sK41_SY165 ) )
                | ~ ~ ( k04_buttercup10100 @ sK42_SY167 ) )
          | ~ ( b48_buttercup10102 @ sK42_SY167 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[705]) ).

thf(765,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( k04_buttercup10100 @ SX0 )
          | ~ ( b48_buttercup10102 @ SX0 ) )
      | ~ ( ~ ( b48_buttercup10102 @ sK39_X69 )
          | ~ ~ ( k04_buttercup10100 @ sK39_X69 ) )
      | ~ ( ~ ( k04_buttercup10100 @ sK38_X67 )
          | ~ ~ ( b48_buttercup10102 @ sK38_X67 ) )
      | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                                  | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                            | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
                      | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) )
                | ~ ~ ( k04_buttercup10100 @ sK37_SY164 ) )
          | ~ ( b48_buttercup10102 @ sK37_SY164 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[706]) ).

thf(766,plain,
    ! [SV58: $i] :
      ( ( ( b48_buttercup10104 @ SV58 )
        = $false )
      | ( ( k04_buttercup10622 @ SV58 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[707]) ).

thf(767,plain,
    ( ( k04_buttercup10622 @ sK54_X56 )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[708]) ).

thf(768,plain,
    ( ( ~ ( b48_buttercup10104 @ sK54_X56 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[709]) ).

thf(769,plain,
    ( ( k04_buttercup10100 @ sK3_X149 )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[710]) ).

thf(770,plain,
    ( ( b48_buttercup10098 @ sK3_X149 )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[711]) ).

thf(771,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ( b48_buttercup10098 @ SX0 )
          | ~ ( k04_buttercup10100 @ SX0 )
          | ~ ( k04_buttercup10100 @ SX1 )
          | ( b48_buttercup10098 @ SX1 )
          | ( k04_buttercup10100 @ SX2 )
          | ~ ( b48_buttercup10098 @ SX2 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[712]) ).

thf(772,plain,
    ( ( ~ ( ~ ~ ( ~ ( sK5_REN
                    | ! [SX0: $i] :
                        ( ~ ( k04_buttercup10100 @ SX0 )
                        | ( b48_buttercup10098 @ SX0 ) ) )
                | ~ ( ~ sK5_REN
                    | ~ ( ~ ( b48_buttercup10098 @ sK2_X142 )
                        | ~ ~ ( k04_buttercup10100 @ sK2_X142 ) ) ) )
          | ~ ~ ( ~ ( sK4_REN
                    | ! [SX0: $i] :
                        ( ~ ( b48_buttercup10098 @ SX0 )
                        | ( k04_buttercup10100 @ SX0 ) ) )
                | ~ ( ~ sK4_REN
                    | ~ ( ~ ( k04_buttercup10100 @ sK1_X144 )
                        | ~ ~ ( b48_buttercup10098 @ sK1_X144 ) ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[713]) ).

thf(773,plain,
    ! [SV59: $i] :
      ( ( ( b48_buttercup10107 @ SV59 )
        = $false )
      | ( ( k04_buttercup10620 @ SV59 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[714]) ).

thf(774,plain,
    ! [SV60: $i] :
      ( ( ( k04_buttercup10620 @ SV60 )
        = $false )
      | ( ( b48_buttercup10107 @ SV60 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[715]) ).

thf(775,plain,
    ! [SV61: $i] :
      ( ( ( k04_buttercup10100 @ SV61 )
        = $false )
      | ( ( b48_buttercup10098 @ SV61 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[716]) ).

thf(776,plain,
    ( ( b48_buttercup10098 @ sK51_X62 )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[717]) ).

thf(777,plain,
    ( ( ~ ( k04_buttercup10100 @ sK51_X62 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[718]) ).

thf(778,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( k04_buttercup10619 @ SX0 )
          | ~ ( b48_buttercup10109 @ SX0 ) )
      | ! [SX0: $i] :
          ( ~ ( k04_buttercup10619 @ SX0 )
          | ( b48_buttercup10109 @ SX0 ) )
      | ! [SX0: $i] :
          ( ~ ( b48_buttercup10109 @ SX0 )
          | ( k04_buttercup10619 @ SX0 ) )
      | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK101_X29 )
                                  | ~ ( k04_buttercup10619 @ sK101_X29 ) )
                            | ~ ( k04_buttercup10619 @ sK102_SY207 ) )
                      | ~ ~ ( b48_buttercup10109 @ sK102_SY207 ) )
                | ~ ~ ( k04_buttercup10619 @ sK103_SY209 ) )
          | ~ ( b48_buttercup10109 @ sK103_SY209 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[719]) ).

thf(779,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( k04_buttercup10619 @ SX0 )
          | ~ ( b48_buttercup10109 @ SX0 ) )
      | ! [SX0: $i] :
          ( ~ ( k04_buttercup10619 @ SX0 )
          | ( b48_buttercup10109 @ SX0 ) )
      | ~ ( ~ ( k04_buttercup10619 @ sK100_X33 )
          | ~ ~ ( b48_buttercup10109 @ sK100_X33 ) )
      | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK97_X29 )
                                  | ~ ( k04_buttercup10619 @ sK97_X29 ) )
                            | ~ ( k04_buttercup10619 @ sK98_SY204 ) )
                      | ~ ~ ( b48_buttercup10109 @ sK98_SY204 ) )
                | ~ ~ ( k04_buttercup10619 @ sK99_SY206 ) )
          | ~ ( b48_buttercup10109 @ sK99_SY206 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[720]) ).

thf(780,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( k04_buttercup10619 @ SX0 )
          | ~ ( b48_buttercup10109 @ SX0 ) )
      | ~ ( ~ ( b48_buttercup10109 @ sK96_X35 )
          | ~ ~ ( k04_buttercup10619 @ sK96_X35 ) )
      | ! [SX0: $i] :
          ( ~ ( b48_buttercup10109 @ SX0 )
          | ( k04_buttercup10619 @ SX0 ) )
      | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK93_X29 )
                                  | ~ ( k04_buttercup10619 @ sK93_X29 ) )
                            | ~ ( k04_buttercup10619 @ sK94_SY201 ) )
                      | ~ ~ ( b48_buttercup10109 @ sK94_SY201 ) )
                | ~ ~ ( k04_buttercup10619 @ sK95_SY203 ) )
          | ~ ( b48_buttercup10109 @ sK95_SY203 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[721]) ).

thf(781,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( k04_buttercup10619 @ SX0 )
          | ~ ( b48_buttercup10109 @ SX0 ) )
      | ~ ( ~ ( b48_buttercup10109 @ sK92_X35 )
          | ~ ~ ( k04_buttercup10619 @ sK92_X35 ) )
      | ~ ( ~ ( k04_buttercup10619 @ sK91_X33 )
          | ~ ~ ( b48_buttercup10109 @ sK91_X33 ) )
      | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                                  | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                            | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
                      | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) )
                | ~ ~ ( k04_buttercup10619 @ sK90_SY200 ) )
          | ~ ( b48_buttercup10109 @ sK90_SY200 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[722]) ).

thf(782,plain,
    ! [SV62: $i] :
      ( ( ( b48_buttercup10109 @ SV62 )
        = $false )
      | ( ( k04_buttercup10100 @ SV62 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[723]) ).

thf(783,plain,
    ( ( k04_buttercup10100 @ sK121_X18 )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[724]) ).

thf(784,plain,
    ( ( ~ ( b48_buttercup10109 @ sK121_X18 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[725]) ).

thf(785,plain,
    ! [SV63: $i] :
      ( ( ( b48_buttercup10111 @ SV63 )
        = $false )
      | ( ( k04_buttercup10100 @ SV63 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[726]) ).

thf(786,plain,
    ( ( k04_buttercup10100 @ sK87_X38 )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[727]) ).

thf(787,plain,
    ( ( ~ ( b48_buttercup10111 @ sK87_X38 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[728]) ).

thf(788,plain,
    ! [SV64: $i] :
      ( ( ( b48_buttercup10102 @ SV64 )
        = $false )
      | ( ( k04_buttercup10622 @ SV64 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[729]) ).

thf(789,plain,
    ( ( k04_buttercup10622 @ sK34_X72 )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[730]) ).

thf(790,plain,
    ( ( ~ ( b48_buttercup10102 @ sK34_X72 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[731]) ).

thf(791,plain,
    ! [SV65: $i] :
      ( ( ( k04_buttercup10619 @ SV65 )
        = $false )
      | ( ( b48_buttercup10098 @ SV65 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[732]) ).

thf(792,plain,
    ( ( b48_buttercup10098 @ sK104_X28 )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[733]) ).

thf(793,plain,
    ( ( ~ ( k04_buttercup10619 @ sK104_X28 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[734]) ).

thf(794,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( k04_buttercup10100 @ SX0 )
          | ~ ( b48_buttercup10107 @ SX0 ) )
      | ! [SX0: $i] :
          ( ~ ( k04_buttercup10100 @ SX0 )
          | ( b48_buttercup10107 @ SX0 ) )
      | ! [SX0: $i] :
          ( ~ ( b48_buttercup10107 @ SX0 )
          | ( k04_buttercup10100 @ SX0 ) )
      | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK31_X74 )
                                  | ~ ( k04_buttercup10100 @ sK31_X74 ) )
                            | ~ ( k04_buttercup10100 @ sK32_SY159 ) )
                      | ~ ~ ( b48_buttercup10107 @ sK32_SY159 ) )
                | ~ ~ ( k04_buttercup10100 @ sK33_SY161 ) )
          | ~ ( b48_buttercup10107 @ sK33_SY161 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[735]) ).

thf(795,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( k04_buttercup10100 @ SX0 )
          | ~ ( b48_buttercup10107 @ SX0 ) )
      | ! [SX0: $i] :
          ( ~ ( k04_buttercup10100 @ SX0 )
          | ( b48_buttercup10107 @ SX0 ) )
      | ~ ( ~ ( k04_buttercup10100 @ sK30_X78 )
          | ~ ~ ( b48_buttercup10107 @ sK30_X78 ) )
      | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK27_X74 )
                                  | ~ ( k04_buttercup10100 @ sK27_X74 ) )
                            | ~ ( k04_buttercup10100 @ sK28_SY156 ) )
                      | ~ ~ ( b48_buttercup10107 @ sK28_SY156 ) )
                | ~ ~ ( k04_buttercup10100 @ sK29_SY158 ) )
          | ~ ( b48_buttercup10107 @ sK29_SY158 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[736]) ).

thf(796,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( k04_buttercup10100 @ SX0 )
          | ~ ( b48_buttercup10107 @ SX0 ) )
      | ~ ( ~ ( b48_buttercup10107 @ sK26_X80 )
          | ~ ~ ( k04_buttercup10100 @ sK26_X80 ) )
      | ! [SX0: $i] :
          ( ~ ( b48_buttercup10107 @ SX0 )
          | ( k04_buttercup10100 @ SX0 ) )
      | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK23_X74 )
                                  | ~ ( k04_buttercup10100 @ sK23_X74 ) )
                            | ~ ( k04_buttercup10100 @ sK24_SY153 ) )
                      | ~ ~ ( b48_buttercup10107 @ sK24_SY153 ) )
                | ~ ~ ( k04_buttercup10100 @ sK25_SY155 ) )
          | ~ ( b48_buttercup10107 @ sK25_SY155 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[737]) ).

thf(797,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( k04_buttercup10100 @ SX0 )
          | ~ ( b48_buttercup10107 @ SX0 ) )
      | ~ ( ~ ( b48_buttercup10107 @ sK22_X80 )
          | ~ ~ ( k04_buttercup10100 @ sK22_X80 ) )
      | ~ ( ~ ( k04_buttercup10100 @ sK21_X78 )
          | ~ ~ ( b48_buttercup10107 @ sK21_X78 ) )
      | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                                  | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                            | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
                      | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) )
                | ~ ~ ( k04_buttercup10100 @ sK20_SY152 ) )
          | ~ ( b48_buttercup10107 @ sK20_SY152 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[738]) ).

thf(798,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( k04_buttercup10100 @ SX0 )
          | ~ ( b48_buttercup10104 @ SX0 ) )
      | ! [SX0: $i] :
          ( ~ ( k04_buttercup10100 @ SX0 )
          | ( b48_buttercup10104 @ SX0 ) )
      | ! [SX0: $i] :
          ( ~ ( b48_buttercup10104 @ SX0 )
          | ( k04_buttercup10100 @ SX0 ) )
      | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK135_X9 )
                                  | ~ ( k04_buttercup10100 @ sK135_X9 ) )
                            | ~ ( k04_buttercup10100 @ sK136_SY231 ) )
                      | ~ ~ ( b48_buttercup10104 @ sK136_SY231 ) )
                | ~ ~ ( k04_buttercup10100 @ sK137_SY233 ) )
          | ~ ( b48_buttercup10104 @ sK137_SY233 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[739]) ).

thf(799,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( k04_buttercup10100 @ SX0 )
          | ~ ( b48_buttercup10104 @ SX0 ) )
      | ! [SX0: $i] :
          ( ~ ( k04_buttercup10100 @ SX0 )
          | ( b48_buttercup10104 @ SX0 ) )
      | ~ ( ~ ( k04_buttercup10100 @ sK134_X13 )
          | ~ ~ ( b48_buttercup10104 @ sK134_X13 ) )
      | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK131_X9 )
                                  | ~ ( k04_buttercup10100 @ sK131_X9 ) )
                            | ~ ( k04_buttercup10100 @ sK132_SY228 ) )
                      | ~ ~ ( b48_buttercup10104 @ sK132_SY228 ) )
                | ~ ~ ( k04_buttercup10100 @ sK133_SY230 ) )
          | ~ ( b48_buttercup10104 @ sK133_SY230 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[740]) ).

thf(800,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( k04_buttercup10100 @ SX0 )
          | ~ ( b48_buttercup10104 @ SX0 ) )
      | ~ ( ~ ( b48_buttercup10104 @ sK130_X15 )
          | ~ ~ ( k04_buttercup10100 @ sK130_X15 ) )
      | ! [SX0: $i] :
          ( ~ ( b48_buttercup10104 @ SX0 )
          | ( k04_buttercup10100 @ SX0 ) )
      | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK127_X9 )
                                  | ~ ( k04_buttercup10100 @ sK127_X9 ) )
                            | ~ ( k04_buttercup10100 @ sK128_SY225 ) )
                      | ~ ~ ( b48_buttercup10104 @ sK128_SY225 ) )
                | ~ ~ ( k04_buttercup10100 @ sK129_SY227 ) )
          | ~ ( b48_buttercup10104 @ sK129_SY227 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[741]) ).

thf(801,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( k04_buttercup10100 @ SX0 )
          | ~ ( b48_buttercup10104 @ SX0 ) )
      | ~ ( ~ ( b48_buttercup10104 @ sK126_X15 )
          | ~ ~ ( k04_buttercup10100 @ sK126_X15 ) )
      | ~ ( ~ ( k04_buttercup10100 @ sK125_X13 )
          | ~ ~ ( b48_buttercup10104 @ sK125_X13 ) )
      | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                                  | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                            | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
                      | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) )
                | ~ ~ ( k04_buttercup10100 @ sK124_SY224 ) )
          | ~ ( b48_buttercup10104 @ sK124_SY224 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[742]) ).

thf(802,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( k04_buttercup10100 @ SX0 )
          | ~ ( b48_buttercup10110 @ SX0 ) )
      | ! [SX0: $i] :
          ( ~ ( k04_buttercup10100 @ SX0 )
          | ( b48_buttercup10110 @ SX0 ) )
      | ! [SX0: $i] :
          ( ~ ( b48_buttercup10110 @ SX0 )
          | ( k04_buttercup10100 @ SX0 ) )
      | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK68_X47 )
                                  | ~ ( k04_buttercup10100 @ sK68_X47 ) )
                            | ~ ( k04_buttercup10100 @ sK69_SY183 ) )
                      | ~ ~ ( b48_buttercup10110 @ sK69_SY183 ) )
                | ~ ~ ( k04_buttercup10100 @ sK70_SY185 ) )
          | ~ ( b48_buttercup10110 @ sK70_SY185 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[743]) ).

thf(803,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( k04_buttercup10100 @ SX0 )
          | ~ ( b48_buttercup10110 @ SX0 ) )
      | ! [SX0: $i] :
          ( ~ ( k04_buttercup10100 @ SX0 )
          | ( b48_buttercup10110 @ SX0 ) )
      | ~ ( ~ ( k04_buttercup10100 @ sK67_X51 )
          | ~ ~ ( b48_buttercup10110 @ sK67_X51 ) )
      | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK64_X47 )
                                  | ~ ( k04_buttercup10100 @ sK64_X47 ) )
                            | ~ ( k04_buttercup10100 @ sK65_SY180 ) )
                      | ~ ~ ( b48_buttercup10110 @ sK65_SY180 ) )
                | ~ ~ ( k04_buttercup10100 @ sK66_SY182 ) )
          | ~ ( b48_buttercup10110 @ sK66_SY182 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[744]) ).

thf(804,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( k04_buttercup10100 @ SX0 )
          | ~ ( b48_buttercup10110 @ SX0 ) )
      | ~ ( ~ ( b48_buttercup10110 @ sK63_X53 )
          | ~ ~ ( k04_buttercup10100 @ sK63_X53 ) )
      | ! [SX0: $i] :
          ( ~ ( b48_buttercup10110 @ SX0 )
          | ( k04_buttercup10100 @ SX0 ) )
      | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK60_X47 )
                                  | ~ ( k04_buttercup10100 @ sK60_X47 ) )
                            | ~ ( k04_buttercup10100 @ sK61_SY177 ) )
                      | ~ ~ ( b48_buttercup10110 @ sK61_SY177 ) )
                | ~ ~ ( k04_buttercup10100 @ sK62_SY179 ) )
          | ~ ( b48_buttercup10110 @ sK62_SY179 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[745]) ).

thf(805,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( k04_buttercup10100 @ SX0 )
          | ~ ( b48_buttercup10110 @ SX0 ) )
      | ~ ( ~ ( b48_buttercup10110 @ sK59_X53 )
          | ~ ~ ( k04_buttercup10100 @ sK59_X53 ) )
      | ~ ( ~ ( k04_buttercup10100 @ sK58_X51 )
          | ~ ~ ( b48_buttercup10110 @ sK58_X51 ) )
      | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                                  | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                            | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
                      | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) )
                | ~ ~ ( k04_buttercup10100 @ sK57_SY176 ) )
          | ~ ( b48_buttercup10110 @ sK57_SY176 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[746]) ).

thf(806,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( k04_buttercup10100 @ SX0 )
          | ~ ( b48_buttercup10108 @ SX0 ) )
      | ! [SX0: $i] :
          ( ~ ( k04_buttercup10100 @ SX0 )
          | ( b48_buttercup10108 @ SX0 ) )
      | ! [SX0: $i] :
          ( ~ ( b48_buttercup10108 @ SX0 )
          | ( k04_buttercup10100 @ SX0 ) )
      | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK84_X39 )
                                  | ~ ( k04_buttercup10100 @ sK84_X39 ) )
                            | ~ ( k04_buttercup10100 @ sK85_SY195 ) )
                      | ~ ~ ( b48_buttercup10108 @ sK85_SY195 ) )
                | ~ ~ ( k04_buttercup10100 @ sK86_SY197 ) )
          | ~ ( b48_buttercup10108 @ sK86_SY197 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[747]) ).

thf(807,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( k04_buttercup10100 @ SX0 )
          | ~ ( b48_buttercup10108 @ SX0 ) )
      | ! [SX0: $i] :
          ( ~ ( k04_buttercup10100 @ SX0 )
          | ( b48_buttercup10108 @ SX0 ) )
      | ~ ( ~ ( k04_buttercup10100 @ sK83_X43 )
          | ~ ~ ( b48_buttercup10108 @ sK83_X43 ) )
      | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK80_X39 )
                                  | ~ ( k04_buttercup10100 @ sK80_X39 ) )
                            | ~ ( k04_buttercup10100 @ sK81_SY192 ) )
                      | ~ ~ ( b48_buttercup10108 @ sK81_SY192 ) )
                | ~ ~ ( k04_buttercup10100 @ sK82_SY194 ) )
          | ~ ( b48_buttercup10108 @ sK82_SY194 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[748]) ).

thf(808,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( k04_buttercup10100 @ SX0 )
          | ~ ( b48_buttercup10108 @ SX0 ) )
      | ~ ( ~ ( b48_buttercup10108 @ sK79_X45 )
          | ~ ~ ( k04_buttercup10100 @ sK79_X45 ) )
      | ! [SX0: $i] :
          ( ~ ( b48_buttercup10108 @ SX0 )
          | ( k04_buttercup10100 @ SX0 ) )
      | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK76_X39 )
                                  | ~ ( k04_buttercup10100 @ sK76_X39 ) )
                            | ~ ( k04_buttercup10100 @ sK77_SY189 ) )
                      | ~ ~ ( b48_buttercup10108 @ sK77_SY189 ) )
                | ~ ~ ( k04_buttercup10100 @ sK78_SY191 ) )
          | ~ ( b48_buttercup10108 @ sK78_SY191 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[749]) ).

thf(809,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( k04_buttercup10100 @ SX0 )
          | ~ ( b48_buttercup10108 @ SX0 ) )
      | ~ ( ~ ( b48_buttercup10108 @ sK75_X45 )
          | ~ ~ ( k04_buttercup10100 @ sK75_X45 ) )
      | ~ ( ~ ( k04_buttercup10100 @ sK74_X43 )
          | ~ ~ ( b48_buttercup10108 @ sK74_X43 ) )
      | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                                  | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                            | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
                      | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) )
                | ~ ~ ( k04_buttercup10100 @ sK73_SY188 ) )
          | ~ ( b48_buttercup10108 @ sK73_SY188 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[750]) ).

thf(810,plain,
    ! [SV66: $i] :
      ( ( ( b48_buttercup10108 @ SV66 )
        = $false )
      | ( ( k04_buttercup10622 @ SV66 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[751]) ).

thf(811,plain,
    ( ( k04_buttercup10622 @ sK52_X60 )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[752]) ).

thf(812,plain,
    ( ( ~ ( b48_buttercup10108 @ sK52_X60 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[753]) ).

thf(813,plain,
    ! [SV67: $i] :
      ( ( ( b48_buttercup10110 @ SV67 )
        = $false )
      | ( ( k04_buttercup10622 @ SV67 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[754]) ).

thf(814,plain,
    ( ( k04_buttercup10622 @ sK53_X58 )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[755]) ).

thf(815,plain,
    ( ( ~ ( b48_buttercup10110 @ sK53_X58 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[756]) ).

thf(816,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( k04_buttercup10619 @ SX0 )
          | ~ ( b48_buttercup10111 @ SX0 ) )
      | ! [SX0: $i] :
          ( ~ ( k04_buttercup10619 @ SX0 )
          | ( b48_buttercup10111 @ SX0 ) )
      | ! [SX0: $i] :
          ( ~ ( b48_buttercup10111 @ SX0 )
          | ( k04_buttercup10619 @ SX0 ) )
      | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK118_X19 )
                                  | ~ ( k04_buttercup10619 @ sK118_X19 ) )
                            | ~ ( k04_buttercup10619 @ sK119_SY219 ) )
                      | ~ ~ ( b48_buttercup10111 @ sK119_SY219 ) )
                | ~ ~ ( k04_buttercup10619 @ sK120_SY221 ) )
          | ~ ( b48_buttercup10111 @ sK120_SY221 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[757]) ).

thf(817,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( k04_buttercup10619 @ SX0 )
          | ~ ( b48_buttercup10111 @ SX0 ) )
      | ! [SX0: $i] :
          ( ~ ( k04_buttercup10619 @ SX0 )
          | ( b48_buttercup10111 @ SX0 ) )
      | ~ ( ~ ( k04_buttercup10619 @ sK117_X23 )
          | ~ ~ ( b48_buttercup10111 @ sK117_X23 ) )
      | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK114_X19 )
                                  | ~ ( k04_buttercup10619 @ sK114_X19 ) )
                            | ~ ( k04_buttercup10619 @ sK115_SY216 ) )
                      | ~ ~ ( b48_buttercup10111 @ sK115_SY216 ) )
                | ~ ~ ( k04_buttercup10619 @ sK116_SY218 ) )
          | ~ ( b48_buttercup10111 @ sK116_SY218 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[758]) ).

thf(818,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( k04_buttercup10619 @ SX0 )
          | ~ ( b48_buttercup10111 @ SX0 ) )
      | ~ ( ~ ( b48_buttercup10111 @ sK113_X25 )
          | ~ ~ ( k04_buttercup10619 @ sK113_X25 ) )
      | ! [SX0: $i] :
          ( ~ ( b48_buttercup10111 @ SX0 )
          | ( k04_buttercup10619 @ SX0 ) )
      | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK110_X19 )
                                  | ~ ( k04_buttercup10619 @ sK110_X19 ) )
                            | ~ ( k04_buttercup10619 @ sK111_SY213 ) )
                      | ~ ~ ( b48_buttercup10111 @ sK111_SY213 ) )
                | ~ ~ ( k04_buttercup10619 @ sK112_SY215 ) )
          | ~ ( b48_buttercup10111 @ sK112_SY215 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[759]) ).

thf(819,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( k04_buttercup10619 @ SX0 )
          | ~ ( b48_buttercup10111 @ SX0 ) )
      | ~ ( ~ ( b48_buttercup10111 @ sK109_X25 )
          | ~ ~ ( k04_buttercup10619 @ sK109_X25 ) )
      | ~ ( ~ ( k04_buttercup10619 @ sK108_X23 )
          | ~ ~ ( b48_buttercup10111 @ sK108_X23 ) )
      | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                                  | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                            | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
                      | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) )
                | ~ ~ ( k04_buttercup10619 @ sK107_SY212 ) )
          | ~ ( b48_buttercup10111 @ sK107_SY212 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[760]) ).

thf(820,plain,
    ! [SV57: $i] :
      ( ( ( b48_buttercup10108 @ SV57 )
        = $true )
      | ( ( ( b48_buttercup10107 @ SV57 )
          | ( b48_buttercup10102 @ SV57 )
          | ( b48_buttercup10104 @ SV57 ) )
        = $true )
      | ( ( b48_buttercup10109 @ SV57 )
        = $true )
      | ( ( b48_buttercup10110 @ SV57 )
        = $true )
      | ( ( b48_buttercup10111 @ SV57 )
        = $true )
      | ( ( b48_buttercup10098 @ SV57 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[761]) ).

thf(821,plain,
    ( ( ( ! [SX0: $i] :
            ( ~ ( k04_buttercup10100 @ SX0 )
            | ~ ( b48_buttercup10102 @ SX0 ) ) )
      = $true )
    | ( ( ! [SX0: $i] :
            ( ~ ( k04_buttercup10100 @ SX0 )
            | ( b48_buttercup10102 @ SX0 ) )
        | ! [SX0: $i] :
            ( ~ ( b48_buttercup10102 @ SX0 )
            | ( k04_buttercup10100 @ SX0 ) )
        | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK48_X63 )
                                    | ~ ( k04_buttercup10100 @ sK48_X63 ) )
                              | ~ ( k04_buttercup10100 @ sK49_SY171 ) )
                        | ~ ~ ( b48_buttercup10102 @ sK49_SY171 ) )
                  | ~ ~ ( k04_buttercup10100 @ sK50_SY173 ) )
            | ~ ( b48_buttercup10102 @ sK50_SY173 ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[762]) ).

thf(822,plain,
    ( ( ( ! [SX0: $i] :
            ( ~ ( k04_buttercup10100 @ SX0 )
            | ~ ( b48_buttercup10102 @ SX0 ) ) )
      = $true )
    | ( ( ! [SX0: $i] :
            ( ~ ( k04_buttercup10100 @ SX0 )
            | ( b48_buttercup10102 @ SX0 ) )
        | ~ ( ~ ( k04_buttercup10100 @ sK47_X67 )
            | ~ ~ ( b48_buttercup10102 @ sK47_X67 ) )
        | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK44_X63 )
                                    | ~ ( k04_buttercup10100 @ sK44_X63 ) )
                              | ~ ( k04_buttercup10100 @ sK45_SY168 ) )
                        | ~ ~ ( b48_buttercup10102 @ sK45_SY168 ) )
                  | ~ ~ ( k04_buttercup10100 @ sK46_SY170 ) )
            | ~ ( b48_buttercup10102 @ sK46_SY170 ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[763]) ).

thf(823,plain,
    ( ( ( ! [SX0: $i] :
            ( ~ ( k04_buttercup10100 @ SX0 )
            | ~ ( b48_buttercup10102 @ SX0 ) ) )
      = $true )
    | ( ( ~ ( ~ ( b48_buttercup10102 @ sK43_X69 )
            | ~ ~ ( k04_buttercup10100 @ sK43_X69 ) )
        | ! [SX0: $i] :
            ( ~ ( b48_buttercup10102 @ SX0 )
            | ( k04_buttercup10100 @ SX0 ) )
        | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK40_X63 )
                                    | ~ ( k04_buttercup10100 @ sK40_X63 ) )
                              | ~ ( k04_buttercup10100 @ sK41_SY165 ) )
                        | ~ ~ ( b48_buttercup10102 @ sK41_SY165 ) )
                  | ~ ~ ( k04_buttercup10100 @ sK42_SY167 ) )
            | ~ ( b48_buttercup10102 @ sK42_SY167 ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[764]) ).

thf(824,plain,
    ( ( ( ! [SX0: $i] :
            ( ~ ( k04_buttercup10100 @ SX0 )
            | ~ ( b48_buttercup10102 @ SX0 ) ) )
      = $true )
    | ( ( ~ ( ~ ( b48_buttercup10102 @ sK39_X69 )
            | ~ ~ ( k04_buttercup10100 @ sK39_X69 ) )
        | ~ ( ~ ( k04_buttercup10100 @ sK38_X67 )
            | ~ ~ ( b48_buttercup10102 @ sK38_X67 ) )
        | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                                    | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                              | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
                        | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) )
                  | ~ ~ ( k04_buttercup10100 @ sK37_SY164 ) )
            | ~ ( b48_buttercup10102 @ sK37_SY164 ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[765]) ).

thf(825,plain,
    ( ( b48_buttercup10104 @ sK54_X56 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[768]) ).

thf(826,plain,
    ! [SV68: $i] :
      ( ( ! [SY234: $i,SY235: $i] :
            ( ~ ( b48_buttercup10098 @ SV68 )
            | ~ ( k04_buttercup10100 @ SV68 )
            | ~ ( k04_buttercup10100 @ SY234 )
            | ( b48_buttercup10098 @ SY234 )
            | ( k04_buttercup10100 @ SY235 )
            | ~ ( b48_buttercup10098 @ SY235 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[771]) ).

thf(827,plain,
    ( ( ~ ~ ( ~ ( sK5_REN
                | ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ( b48_buttercup10098 @ SX0 ) ) )
            | ~ ( ~ sK5_REN
                | ~ ( ~ ( b48_buttercup10098 @ sK2_X142 )
                    | ~ ~ ( k04_buttercup10100 @ sK2_X142 ) ) ) )
      | ~ ~ ( ~ ( sK4_REN
                | ! [SX0: $i] :
                    ( ~ ( b48_buttercup10098 @ SX0 )
                    | ( k04_buttercup10100 @ SX0 ) ) )
            | ~ ( ~ sK4_REN
                | ~ ( ~ ( k04_buttercup10100 @ sK1_X144 )
                    | ~ ~ ( b48_buttercup10098 @ sK1_X144 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[772]) ).

thf(828,plain,
    ( ( k04_buttercup10100 @ sK51_X62 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[777]) ).

thf(829,plain,
    ( ( ( ! [SX0: $i] :
            ( ~ ( k04_buttercup10619 @ SX0 )
            | ~ ( b48_buttercup10109 @ SX0 ) ) )
      = $true )
    | ( ( ! [SX0: $i] :
            ( ~ ( k04_buttercup10619 @ SX0 )
            | ( b48_buttercup10109 @ SX0 ) )
        | ! [SX0: $i] :
            ( ~ ( b48_buttercup10109 @ SX0 )
            | ( k04_buttercup10619 @ SX0 ) )
        | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK101_X29 )
                                    | ~ ( k04_buttercup10619 @ sK101_X29 ) )
                              | ~ ( k04_buttercup10619 @ sK102_SY207 ) )
                        | ~ ~ ( b48_buttercup10109 @ sK102_SY207 ) )
                  | ~ ~ ( k04_buttercup10619 @ sK103_SY209 ) )
            | ~ ( b48_buttercup10109 @ sK103_SY209 ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[778]) ).

thf(830,plain,
    ( ( ( ! [SX0: $i] :
            ( ~ ( k04_buttercup10619 @ SX0 )
            | ~ ( b48_buttercup10109 @ SX0 ) ) )
      = $true )
    | ( ( ! [SX0: $i] :
            ( ~ ( k04_buttercup10619 @ SX0 )
            | ( b48_buttercup10109 @ SX0 ) )
        | ~ ( ~ ( k04_buttercup10619 @ sK100_X33 )
            | ~ ~ ( b48_buttercup10109 @ sK100_X33 ) )
        | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK97_X29 )
                                    | ~ ( k04_buttercup10619 @ sK97_X29 ) )
                              | ~ ( k04_buttercup10619 @ sK98_SY204 ) )
                        | ~ ~ ( b48_buttercup10109 @ sK98_SY204 ) )
                  | ~ ~ ( k04_buttercup10619 @ sK99_SY206 ) )
            | ~ ( b48_buttercup10109 @ sK99_SY206 ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[779]) ).

thf(831,plain,
    ( ( ( ! [SX0: $i] :
            ( ~ ( k04_buttercup10619 @ SX0 )
            | ~ ( b48_buttercup10109 @ SX0 ) ) )
      = $true )
    | ( ( ~ ( ~ ( b48_buttercup10109 @ sK96_X35 )
            | ~ ~ ( k04_buttercup10619 @ sK96_X35 ) )
        | ! [SX0: $i] :
            ( ~ ( b48_buttercup10109 @ SX0 )
            | ( k04_buttercup10619 @ SX0 ) )
        | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK93_X29 )
                                    | ~ ( k04_buttercup10619 @ sK93_X29 ) )
                              | ~ ( k04_buttercup10619 @ sK94_SY201 ) )
                        | ~ ~ ( b48_buttercup10109 @ sK94_SY201 ) )
                  | ~ ~ ( k04_buttercup10619 @ sK95_SY203 ) )
            | ~ ( b48_buttercup10109 @ sK95_SY203 ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[780]) ).

thf(832,plain,
    ( ( ( ! [SX0: $i] :
            ( ~ ( k04_buttercup10619 @ SX0 )
            | ~ ( b48_buttercup10109 @ SX0 ) ) )
      = $true )
    | ( ( ~ ( ~ ( b48_buttercup10109 @ sK92_X35 )
            | ~ ~ ( k04_buttercup10619 @ sK92_X35 ) )
        | ~ ( ~ ( k04_buttercup10619 @ sK91_X33 )
            | ~ ~ ( b48_buttercup10109 @ sK91_X33 ) )
        | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                                    | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                              | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
                        | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) )
                  | ~ ~ ( k04_buttercup10619 @ sK90_SY200 ) )
            | ~ ( b48_buttercup10109 @ sK90_SY200 ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[781]) ).

thf(833,plain,
    ( ( b48_buttercup10109 @ sK121_X18 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[784]) ).

thf(834,plain,
    ( ( b48_buttercup10111 @ sK87_X38 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[787]) ).

thf(835,plain,
    ( ( b48_buttercup10102 @ sK34_X72 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[790]) ).

thf(836,plain,
    ( ( k04_buttercup10619 @ sK104_X28 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[793]) ).

thf(837,plain,
    ( ( ( ! [SX0: $i] :
            ( ~ ( k04_buttercup10100 @ SX0 )
            | ~ ( b48_buttercup10107 @ SX0 ) ) )
      = $true )
    | ( ( ! [SX0: $i] :
            ( ~ ( k04_buttercup10100 @ SX0 )
            | ( b48_buttercup10107 @ SX0 ) )
        | ! [SX0: $i] :
            ( ~ ( b48_buttercup10107 @ SX0 )
            | ( k04_buttercup10100 @ SX0 ) )
        | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK31_X74 )
                                    | ~ ( k04_buttercup10100 @ sK31_X74 ) )
                              | ~ ( k04_buttercup10100 @ sK32_SY159 ) )
                        | ~ ~ ( b48_buttercup10107 @ sK32_SY159 ) )
                  | ~ ~ ( k04_buttercup10100 @ sK33_SY161 ) )
            | ~ ( b48_buttercup10107 @ sK33_SY161 ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[794]) ).

thf(838,plain,
    ( ( ( ! [SX0: $i] :
            ( ~ ( k04_buttercup10100 @ SX0 )
            | ~ ( b48_buttercup10107 @ SX0 ) ) )
      = $true )
    | ( ( ! [SX0: $i] :
            ( ~ ( k04_buttercup10100 @ SX0 )
            | ( b48_buttercup10107 @ SX0 ) )
        | ~ ( ~ ( k04_buttercup10100 @ sK30_X78 )
            | ~ ~ ( b48_buttercup10107 @ sK30_X78 ) )
        | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK27_X74 )
                                    | ~ ( k04_buttercup10100 @ sK27_X74 ) )
                              | ~ ( k04_buttercup10100 @ sK28_SY156 ) )
                        | ~ ~ ( b48_buttercup10107 @ sK28_SY156 ) )
                  | ~ ~ ( k04_buttercup10100 @ sK29_SY158 ) )
            | ~ ( b48_buttercup10107 @ sK29_SY158 ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[795]) ).

thf(839,plain,
    ( ( ( ! [SX0: $i] :
            ( ~ ( k04_buttercup10100 @ SX0 )
            | ~ ( b48_buttercup10107 @ SX0 ) ) )
      = $true )
    | ( ( ~ ( ~ ( b48_buttercup10107 @ sK26_X80 )
            | ~ ~ ( k04_buttercup10100 @ sK26_X80 ) )
        | ! [SX0: $i] :
            ( ~ ( b48_buttercup10107 @ SX0 )
            | ( k04_buttercup10100 @ SX0 ) )
        | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK23_X74 )
                                    | ~ ( k04_buttercup10100 @ sK23_X74 ) )
                              | ~ ( k04_buttercup10100 @ sK24_SY153 ) )
                        | ~ ~ ( b48_buttercup10107 @ sK24_SY153 ) )
                  | ~ ~ ( k04_buttercup10100 @ sK25_SY155 ) )
            | ~ ( b48_buttercup10107 @ sK25_SY155 ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[796]) ).

thf(840,plain,
    ( ( ( ! [SX0: $i] :
            ( ~ ( k04_buttercup10100 @ SX0 )
            | ~ ( b48_buttercup10107 @ SX0 ) ) )
      = $true )
    | ( ( ~ ( ~ ( b48_buttercup10107 @ sK22_X80 )
            | ~ ~ ( k04_buttercup10100 @ sK22_X80 ) )
        | ~ ( ~ ( k04_buttercup10100 @ sK21_X78 )
            | ~ ~ ( b48_buttercup10107 @ sK21_X78 ) )
        | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                                    | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                              | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
                        | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) )
                  | ~ ~ ( k04_buttercup10100 @ sK20_SY152 ) )
            | ~ ( b48_buttercup10107 @ sK20_SY152 ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[797]) ).

thf(841,plain,
    ( ( ( ! [SX0: $i] :
            ( ~ ( k04_buttercup10100 @ SX0 )
            | ~ ( b48_buttercup10104 @ SX0 ) ) )
      = $true )
    | ( ( ! [SX0: $i] :
            ( ~ ( k04_buttercup10100 @ SX0 )
            | ( b48_buttercup10104 @ SX0 ) )
        | ! [SX0: $i] :
            ( ~ ( b48_buttercup10104 @ SX0 )
            | ( k04_buttercup10100 @ SX0 ) )
        | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK135_X9 )
                                    | ~ ( k04_buttercup10100 @ sK135_X9 ) )
                              | ~ ( k04_buttercup10100 @ sK136_SY231 ) )
                        | ~ ~ ( b48_buttercup10104 @ sK136_SY231 ) )
                  | ~ ~ ( k04_buttercup10100 @ sK137_SY233 ) )
            | ~ ( b48_buttercup10104 @ sK137_SY233 ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[798]) ).

thf(842,plain,
    ( ( ( ! [SX0: $i] :
            ( ~ ( k04_buttercup10100 @ SX0 )
            | ~ ( b48_buttercup10104 @ SX0 ) ) )
      = $true )
    | ( ( ! [SX0: $i] :
            ( ~ ( k04_buttercup10100 @ SX0 )
            | ( b48_buttercup10104 @ SX0 ) )
        | ~ ( ~ ( k04_buttercup10100 @ sK134_X13 )
            | ~ ~ ( b48_buttercup10104 @ sK134_X13 ) )
        | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK131_X9 )
                                    | ~ ( k04_buttercup10100 @ sK131_X9 ) )
                              | ~ ( k04_buttercup10100 @ sK132_SY228 ) )
                        | ~ ~ ( b48_buttercup10104 @ sK132_SY228 ) )
                  | ~ ~ ( k04_buttercup10100 @ sK133_SY230 ) )
            | ~ ( b48_buttercup10104 @ sK133_SY230 ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[799]) ).

thf(843,plain,
    ( ( ( ! [SX0: $i] :
            ( ~ ( k04_buttercup10100 @ SX0 )
            | ~ ( b48_buttercup10104 @ SX0 ) ) )
      = $true )
    | ( ( ~ ( ~ ( b48_buttercup10104 @ sK130_X15 )
            | ~ ~ ( k04_buttercup10100 @ sK130_X15 ) )
        | ! [SX0: $i] :
            ( ~ ( b48_buttercup10104 @ SX0 )
            | ( k04_buttercup10100 @ SX0 ) )
        | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK127_X9 )
                                    | ~ ( k04_buttercup10100 @ sK127_X9 ) )
                              | ~ ( k04_buttercup10100 @ sK128_SY225 ) )
                        | ~ ~ ( b48_buttercup10104 @ sK128_SY225 ) )
                  | ~ ~ ( k04_buttercup10100 @ sK129_SY227 ) )
            | ~ ( b48_buttercup10104 @ sK129_SY227 ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[800]) ).

thf(844,plain,
    ( ( ( ! [SX0: $i] :
            ( ~ ( k04_buttercup10100 @ SX0 )
            | ~ ( b48_buttercup10104 @ SX0 ) ) )
      = $true )
    | ( ( ~ ( ~ ( b48_buttercup10104 @ sK126_X15 )
            | ~ ~ ( k04_buttercup10100 @ sK126_X15 ) )
        | ~ ( ~ ( k04_buttercup10100 @ sK125_X13 )
            | ~ ~ ( b48_buttercup10104 @ sK125_X13 ) )
        | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                                    | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                              | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
                        | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) )
                  | ~ ~ ( k04_buttercup10100 @ sK124_SY224 ) )
            | ~ ( b48_buttercup10104 @ sK124_SY224 ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[801]) ).

thf(845,plain,
    ( ( ( ! [SX0: $i] :
            ( ~ ( k04_buttercup10100 @ SX0 )
            | ~ ( b48_buttercup10110 @ SX0 ) ) )
      = $true )
    | ( ( ! [SX0: $i] :
            ( ~ ( k04_buttercup10100 @ SX0 )
            | ( b48_buttercup10110 @ SX0 ) )
        | ! [SX0: $i] :
            ( ~ ( b48_buttercup10110 @ SX0 )
            | ( k04_buttercup10100 @ SX0 ) )
        | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK68_X47 )
                                    | ~ ( k04_buttercup10100 @ sK68_X47 ) )
                              | ~ ( k04_buttercup10100 @ sK69_SY183 ) )
                        | ~ ~ ( b48_buttercup10110 @ sK69_SY183 ) )
                  | ~ ~ ( k04_buttercup10100 @ sK70_SY185 ) )
            | ~ ( b48_buttercup10110 @ sK70_SY185 ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[802]) ).

thf(846,plain,
    ( ( ( ! [SX0: $i] :
            ( ~ ( k04_buttercup10100 @ SX0 )
            | ~ ( b48_buttercup10110 @ SX0 ) ) )
      = $true )
    | ( ( ! [SX0: $i] :
            ( ~ ( k04_buttercup10100 @ SX0 )
            | ( b48_buttercup10110 @ SX0 ) )
        | ~ ( ~ ( k04_buttercup10100 @ sK67_X51 )
            | ~ ~ ( b48_buttercup10110 @ sK67_X51 ) )
        | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK64_X47 )
                                    | ~ ( k04_buttercup10100 @ sK64_X47 ) )
                              | ~ ( k04_buttercup10100 @ sK65_SY180 ) )
                        | ~ ~ ( b48_buttercup10110 @ sK65_SY180 ) )
                  | ~ ~ ( k04_buttercup10100 @ sK66_SY182 ) )
            | ~ ( b48_buttercup10110 @ sK66_SY182 ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[803]) ).

thf(847,plain,
    ( ( ( ! [SX0: $i] :
            ( ~ ( k04_buttercup10100 @ SX0 )
            | ~ ( b48_buttercup10110 @ SX0 ) ) )
      = $true )
    | ( ( ~ ( ~ ( b48_buttercup10110 @ sK63_X53 )
            | ~ ~ ( k04_buttercup10100 @ sK63_X53 ) )
        | ! [SX0: $i] :
            ( ~ ( b48_buttercup10110 @ SX0 )
            | ( k04_buttercup10100 @ SX0 ) )
        | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK60_X47 )
                                    | ~ ( k04_buttercup10100 @ sK60_X47 ) )
                              | ~ ( k04_buttercup10100 @ sK61_SY177 ) )
                        | ~ ~ ( b48_buttercup10110 @ sK61_SY177 ) )
                  | ~ ~ ( k04_buttercup10100 @ sK62_SY179 ) )
            | ~ ( b48_buttercup10110 @ sK62_SY179 ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[804]) ).

thf(848,plain,
    ( ( ( ! [SX0: $i] :
            ( ~ ( k04_buttercup10100 @ SX0 )
            | ~ ( b48_buttercup10110 @ SX0 ) ) )
      = $true )
    | ( ( ~ ( ~ ( b48_buttercup10110 @ sK59_X53 )
            | ~ ~ ( k04_buttercup10100 @ sK59_X53 ) )
        | ~ ( ~ ( k04_buttercup10100 @ sK58_X51 )
            | ~ ~ ( b48_buttercup10110 @ sK58_X51 ) )
        | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                                    | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                              | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
                        | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) )
                  | ~ ~ ( k04_buttercup10100 @ sK57_SY176 ) )
            | ~ ( b48_buttercup10110 @ sK57_SY176 ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[805]) ).

thf(849,plain,
    ( ( ( ! [SX0: $i] :
            ( ~ ( k04_buttercup10100 @ SX0 )
            | ~ ( b48_buttercup10108 @ SX0 ) ) )
      = $true )
    | ( ( ! [SX0: $i] :
            ( ~ ( k04_buttercup10100 @ SX0 )
            | ( b48_buttercup10108 @ SX0 ) )
        | ! [SX0: $i] :
            ( ~ ( b48_buttercup10108 @ SX0 )
            | ( k04_buttercup10100 @ SX0 ) )
        | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK84_X39 )
                                    | ~ ( k04_buttercup10100 @ sK84_X39 ) )
                              | ~ ( k04_buttercup10100 @ sK85_SY195 ) )
                        | ~ ~ ( b48_buttercup10108 @ sK85_SY195 ) )
                  | ~ ~ ( k04_buttercup10100 @ sK86_SY197 ) )
            | ~ ( b48_buttercup10108 @ sK86_SY197 ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[806]) ).

thf(850,plain,
    ( ( ( ! [SX0: $i] :
            ( ~ ( k04_buttercup10100 @ SX0 )
            | ~ ( b48_buttercup10108 @ SX0 ) ) )
      = $true )
    | ( ( ! [SX0: $i] :
            ( ~ ( k04_buttercup10100 @ SX0 )
            | ( b48_buttercup10108 @ SX0 ) )
        | ~ ( ~ ( k04_buttercup10100 @ sK83_X43 )
            | ~ ~ ( b48_buttercup10108 @ sK83_X43 ) )
        | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK80_X39 )
                                    | ~ ( k04_buttercup10100 @ sK80_X39 ) )
                              | ~ ( k04_buttercup10100 @ sK81_SY192 ) )
                        | ~ ~ ( b48_buttercup10108 @ sK81_SY192 ) )
                  | ~ ~ ( k04_buttercup10100 @ sK82_SY194 ) )
            | ~ ( b48_buttercup10108 @ sK82_SY194 ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[807]) ).

thf(851,plain,
    ( ( ( ! [SX0: $i] :
            ( ~ ( k04_buttercup10100 @ SX0 )
            | ~ ( b48_buttercup10108 @ SX0 ) ) )
      = $true )
    | ( ( ~ ( ~ ( b48_buttercup10108 @ sK79_X45 )
            | ~ ~ ( k04_buttercup10100 @ sK79_X45 ) )
        | ! [SX0: $i] :
            ( ~ ( b48_buttercup10108 @ SX0 )
            | ( k04_buttercup10100 @ SX0 ) )
        | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK76_X39 )
                                    | ~ ( k04_buttercup10100 @ sK76_X39 ) )
                              | ~ ( k04_buttercup10100 @ sK77_SY189 ) )
                        | ~ ~ ( b48_buttercup10108 @ sK77_SY189 ) )
                  | ~ ~ ( k04_buttercup10100 @ sK78_SY191 ) )
            | ~ ( b48_buttercup10108 @ sK78_SY191 ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[808]) ).

thf(852,plain,
    ( ( ( ! [SX0: $i] :
            ( ~ ( k04_buttercup10100 @ SX0 )
            | ~ ( b48_buttercup10108 @ SX0 ) ) )
      = $true )
    | ( ( ~ ( ~ ( b48_buttercup10108 @ sK75_X45 )
            | ~ ~ ( k04_buttercup10100 @ sK75_X45 ) )
        | ~ ( ~ ( k04_buttercup10100 @ sK74_X43 )
            | ~ ~ ( b48_buttercup10108 @ sK74_X43 ) )
        | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                                    | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                              | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
                        | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) )
                  | ~ ~ ( k04_buttercup10100 @ sK73_SY188 ) )
            | ~ ( b48_buttercup10108 @ sK73_SY188 ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[809]) ).

thf(853,plain,
    ( ( b48_buttercup10108 @ sK52_X60 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[812]) ).

thf(854,plain,
    ( ( b48_buttercup10110 @ sK53_X58 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[815]) ).

thf(855,plain,
    ( ( ( ! [SX0: $i] :
            ( ~ ( k04_buttercup10619 @ SX0 )
            | ~ ( b48_buttercup10111 @ SX0 ) ) )
      = $true )
    | ( ( ! [SX0: $i] :
            ( ~ ( k04_buttercup10619 @ SX0 )
            | ( b48_buttercup10111 @ SX0 ) )
        | ! [SX0: $i] :
            ( ~ ( b48_buttercup10111 @ SX0 )
            | ( k04_buttercup10619 @ SX0 ) )
        | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK118_X19 )
                                    | ~ ( k04_buttercup10619 @ sK118_X19 ) )
                              | ~ ( k04_buttercup10619 @ sK119_SY219 ) )
                        | ~ ~ ( b48_buttercup10111 @ sK119_SY219 ) )
                  | ~ ~ ( k04_buttercup10619 @ sK120_SY221 ) )
            | ~ ( b48_buttercup10111 @ sK120_SY221 ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[816]) ).

thf(856,plain,
    ( ( ( ! [SX0: $i] :
            ( ~ ( k04_buttercup10619 @ SX0 )
            | ~ ( b48_buttercup10111 @ SX0 ) ) )
      = $true )
    | ( ( ! [SX0: $i] :
            ( ~ ( k04_buttercup10619 @ SX0 )
            | ( b48_buttercup10111 @ SX0 ) )
        | ~ ( ~ ( k04_buttercup10619 @ sK117_X23 )
            | ~ ~ ( b48_buttercup10111 @ sK117_X23 ) )
        | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK114_X19 )
                                    | ~ ( k04_buttercup10619 @ sK114_X19 ) )
                              | ~ ( k04_buttercup10619 @ sK115_SY216 ) )
                        | ~ ~ ( b48_buttercup10111 @ sK115_SY216 ) )
                  | ~ ~ ( k04_buttercup10619 @ sK116_SY218 ) )
            | ~ ( b48_buttercup10111 @ sK116_SY218 ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[817]) ).

thf(857,plain,
    ( ( ( ! [SX0: $i] :
            ( ~ ( k04_buttercup10619 @ SX0 )
            | ~ ( b48_buttercup10111 @ SX0 ) ) )
      = $true )
    | ( ( ~ ( ~ ( b48_buttercup10111 @ sK113_X25 )
            | ~ ~ ( k04_buttercup10619 @ sK113_X25 ) )
        | ! [SX0: $i] :
            ( ~ ( b48_buttercup10111 @ SX0 )
            | ( k04_buttercup10619 @ SX0 ) )
        | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK110_X19 )
                                    | ~ ( k04_buttercup10619 @ sK110_X19 ) )
                              | ~ ( k04_buttercup10619 @ sK111_SY213 ) )
                        | ~ ~ ( b48_buttercup10111 @ sK111_SY213 ) )
                  | ~ ~ ( k04_buttercup10619 @ sK112_SY215 ) )
            | ~ ( b48_buttercup10111 @ sK112_SY215 ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[818]) ).

thf(858,plain,
    ( ( ( ! [SX0: $i] :
            ( ~ ( k04_buttercup10619 @ SX0 )
            | ~ ( b48_buttercup10111 @ SX0 ) ) )
      = $true )
    | ( ( ~ ( ~ ( b48_buttercup10111 @ sK109_X25 )
            | ~ ~ ( k04_buttercup10619 @ sK109_X25 ) )
        | ~ ( ~ ( k04_buttercup10619 @ sK108_X23 )
            | ~ ~ ( b48_buttercup10111 @ sK108_X23 ) )
        | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                                    | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                              | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
                        | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) )
                  | ~ ~ ( k04_buttercup10619 @ sK107_SY212 ) )
            | ~ ( b48_buttercup10111 @ sK107_SY212 ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[819]) ).

thf(859,plain,
    ! [SV57: $i] :
      ( ( ( b48_buttercup10107 @ SV57 )
        = $true )
      | ( ( ( b48_buttercup10102 @ SV57 )
          | ( b48_buttercup10104 @ SV57 ) )
        = $true )
      | ( ( b48_buttercup10108 @ SV57 )
        = $true )
      | ( ( b48_buttercup10109 @ SV57 )
        = $true )
      | ( ( b48_buttercup10110 @ SV57 )
        = $true )
      | ( ( b48_buttercup10111 @ SV57 )
        = $true )
      | ( ( b48_buttercup10098 @ SV57 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[820]) ).

thf(860,plain,
    ! [SV69: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV69 )
          | ~ ( b48_buttercup10102 @ SV69 ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10102 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10102 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK48_X63 )
                                      | ~ ( k04_buttercup10100 @ sK48_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK49_SY171 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK49_SY171 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK50_SY173 ) )
              | ~ ( b48_buttercup10102 @ sK50_SY173 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[821]) ).

thf(861,plain,
    ! [SV70: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV70 )
          | ~ ( b48_buttercup10102 @ SV70 ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10102 @ SX0 ) )
          | ~ ( ~ ( k04_buttercup10100 @ sK47_X67 )
              | ~ ~ ( b48_buttercup10102 @ sK47_X67 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK44_X63 )
                                      | ~ ( k04_buttercup10100 @ sK44_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK45_SY168 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK45_SY168 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK46_SY170 ) )
              | ~ ( b48_buttercup10102 @ sK46_SY170 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[822]) ).

thf(862,plain,
    ! [SV71: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV71 )
          | ~ ( b48_buttercup10102 @ SV71 ) )
        = $true )
      | ( ( ~ ( ~ ( b48_buttercup10102 @ sK43_X69 )
              | ~ ~ ( k04_buttercup10100 @ sK43_X69 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10102 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK40_X63 )
                                      | ~ ( k04_buttercup10100 @ sK40_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK41_SY165 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK41_SY165 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK42_SY167 ) )
              | ~ ( b48_buttercup10102 @ sK42_SY167 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[823]) ).

thf(863,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV72 )
          | ~ ( b48_buttercup10102 @ SV72 ) )
        = $true )
      | ( ( ~ ( ~ ( b48_buttercup10102 @ sK39_X69 )
              | ~ ~ ( k04_buttercup10100 @ sK39_X69 ) )
          | ~ ( ~ ( k04_buttercup10100 @ sK38_X67 )
              | ~ ~ ( b48_buttercup10102 @ sK38_X67 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                                      | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK37_SY164 ) )
              | ~ ( b48_buttercup10102 @ sK37_SY164 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[824]) ).

thf(864,plain,
    ! [SV73: $i,SV68: $i] :
      ( ( ! [SY236: $i] :
            ( ~ ( b48_buttercup10098 @ SV68 )
            | ~ ( k04_buttercup10100 @ SV68 )
            | ~ ( k04_buttercup10100 @ SV73 )
            | ( b48_buttercup10098 @ SV73 )
            | ( k04_buttercup10100 @ SY236 )
            | ~ ( b48_buttercup10098 @ SY236 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[826]) ).

thf(865,plain,
    ( ( ~ ~ ( ~ ( sK5_REN
                | ! [SX0: $i] :
                    ( ~ ( k04_buttercup10100 @ SX0 )
                    | ( b48_buttercup10098 @ SX0 ) ) )
            | ~ ( ~ sK5_REN
                | ~ ( ~ ( b48_buttercup10098 @ sK2_X142 )
                    | ~ ~ ( k04_buttercup10100 @ sK2_X142 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[827]) ).

thf(866,plain,
    ( ( ~ ~ ( ~ ( sK4_REN
                | ! [SX0: $i] :
                    ( ~ ( b48_buttercup10098 @ SX0 )
                    | ( k04_buttercup10100 @ SX0 ) ) )
            | ~ ( ~ sK4_REN
                | ~ ( ~ ( k04_buttercup10100 @ sK1_X144 )
                    | ~ ~ ( b48_buttercup10098 @ sK1_X144 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[827]) ).

thf(867,plain,
    ! [SV74: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ SV74 )
          | ~ ( b48_buttercup10109 @ SV74 ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10619 @ SX0 )
              | ( b48_buttercup10109 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10109 @ SX0 )
              | ( k04_buttercup10619 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK101_X29 )
                                      | ~ ( k04_buttercup10619 @ sK101_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK102_SY207 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK102_SY207 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK103_SY209 ) )
              | ~ ( b48_buttercup10109 @ sK103_SY209 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[829]) ).

thf(868,plain,
    ! [SV75: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ SV75 )
          | ~ ( b48_buttercup10109 @ SV75 ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10619 @ SX0 )
              | ( b48_buttercup10109 @ SX0 ) )
          | ~ ( ~ ( k04_buttercup10619 @ sK100_X33 )
              | ~ ~ ( b48_buttercup10109 @ sK100_X33 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK97_X29 )
                                      | ~ ( k04_buttercup10619 @ sK97_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK98_SY204 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK98_SY204 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK99_SY206 ) )
              | ~ ( b48_buttercup10109 @ sK99_SY206 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[830]) ).

thf(869,plain,
    ! [SV76: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ SV76 )
          | ~ ( b48_buttercup10109 @ SV76 ) )
        = $true )
      | ( ( ~ ( ~ ( b48_buttercup10109 @ sK96_X35 )
              | ~ ~ ( k04_buttercup10619 @ sK96_X35 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10109 @ SX0 )
              | ( k04_buttercup10619 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK93_X29 )
                                      | ~ ( k04_buttercup10619 @ sK93_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK94_SY201 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK94_SY201 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK95_SY203 ) )
              | ~ ( b48_buttercup10109 @ sK95_SY203 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[831]) ).

thf(870,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ SV77 )
          | ~ ( b48_buttercup10109 @ SV77 ) )
        = $true )
      | ( ( ~ ( ~ ( b48_buttercup10109 @ sK92_X35 )
              | ~ ~ ( k04_buttercup10619 @ sK92_X35 ) )
          | ~ ( ~ ( k04_buttercup10619 @ sK91_X33 )
              | ~ ~ ( b48_buttercup10109 @ sK91_X33 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                                      | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK90_SY200 ) )
              | ~ ( b48_buttercup10109 @ sK90_SY200 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[832]) ).

thf(871,plain,
    ! [SV78: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV78 )
          | ~ ( b48_buttercup10107 @ SV78 ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10107 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10107 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK31_X74 )
                                      | ~ ( k04_buttercup10100 @ sK31_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK32_SY159 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK32_SY159 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK33_SY161 ) )
              | ~ ( b48_buttercup10107 @ sK33_SY161 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[837]) ).

thf(872,plain,
    ! [SV79: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV79 )
          | ~ ( b48_buttercup10107 @ SV79 ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10107 @ SX0 ) )
          | ~ ( ~ ( k04_buttercup10100 @ sK30_X78 )
              | ~ ~ ( b48_buttercup10107 @ sK30_X78 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK27_X74 )
                                      | ~ ( k04_buttercup10100 @ sK27_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK28_SY156 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK28_SY156 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK29_SY158 ) )
              | ~ ( b48_buttercup10107 @ sK29_SY158 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[838]) ).

thf(873,plain,
    ! [SV80: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV80 )
          | ~ ( b48_buttercup10107 @ SV80 ) )
        = $true )
      | ( ( ~ ( ~ ( b48_buttercup10107 @ sK26_X80 )
              | ~ ~ ( k04_buttercup10100 @ sK26_X80 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10107 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK23_X74 )
                                      | ~ ( k04_buttercup10100 @ sK23_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK24_SY153 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK24_SY153 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK25_SY155 ) )
              | ~ ( b48_buttercup10107 @ sK25_SY155 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[839]) ).

thf(874,plain,
    ! [SV81: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV81 )
          | ~ ( b48_buttercup10107 @ SV81 ) )
        = $true )
      | ( ( ~ ( ~ ( b48_buttercup10107 @ sK22_X80 )
              | ~ ~ ( k04_buttercup10100 @ sK22_X80 ) )
          | ~ ( ~ ( k04_buttercup10100 @ sK21_X78 )
              | ~ ~ ( b48_buttercup10107 @ sK21_X78 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                                      | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK20_SY152 ) )
              | ~ ( b48_buttercup10107 @ sK20_SY152 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[840]) ).

thf(875,plain,
    ! [SV82: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV82 )
          | ~ ( b48_buttercup10104 @ SV82 ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10104 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10104 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK135_X9 )
                                      | ~ ( k04_buttercup10100 @ sK135_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK136_SY231 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK136_SY231 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK137_SY233 ) )
              | ~ ( b48_buttercup10104 @ sK137_SY233 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[841]) ).

thf(876,plain,
    ! [SV83: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV83 )
          | ~ ( b48_buttercup10104 @ SV83 ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10104 @ SX0 ) )
          | ~ ( ~ ( k04_buttercup10100 @ sK134_X13 )
              | ~ ~ ( b48_buttercup10104 @ sK134_X13 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK131_X9 )
                                      | ~ ( k04_buttercup10100 @ sK131_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK132_SY228 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK132_SY228 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK133_SY230 ) )
              | ~ ( b48_buttercup10104 @ sK133_SY230 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[842]) ).

thf(877,plain,
    ! [SV84: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV84 )
          | ~ ( b48_buttercup10104 @ SV84 ) )
        = $true )
      | ( ( ~ ( ~ ( b48_buttercup10104 @ sK130_X15 )
              | ~ ~ ( k04_buttercup10100 @ sK130_X15 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10104 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK127_X9 )
                                      | ~ ( k04_buttercup10100 @ sK127_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK128_SY225 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK128_SY225 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK129_SY227 ) )
              | ~ ( b48_buttercup10104 @ sK129_SY227 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[843]) ).

thf(878,plain,
    ! [SV85: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV85 )
          | ~ ( b48_buttercup10104 @ SV85 ) )
        = $true )
      | ( ( ~ ( ~ ( b48_buttercup10104 @ sK126_X15 )
              | ~ ~ ( k04_buttercup10100 @ sK126_X15 ) )
          | ~ ( ~ ( k04_buttercup10100 @ sK125_X13 )
              | ~ ~ ( b48_buttercup10104 @ sK125_X13 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                                      | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK124_SY224 ) )
              | ~ ( b48_buttercup10104 @ sK124_SY224 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[844]) ).

thf(879,plain,
    ! [SV86: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV86 )
          | ~ ( b48_buttercup10110 @ SV86 ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10110 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10110 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK68_X47 )
                                      | ~ ( k04_buttercup10100 @ sK68_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK69_SY183 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK69_SY183 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK70_SY185 ) )
              | ~ ( b48_buttercup10110 @ sK70_SY185 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[845]) ).

thf(880,plain,
    ! [SV87: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV87 )
          | ~ ( b48_buttercup10110 @ SV87 ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10110 @ SX0 ) )
          | ~ ( ~ ( k04_buttercup10100 @ sK67_X51 )
              | ~ ~ ( b48_buttercup10110 @ sK67_X51 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK64_X47 )
                                      | ~ ( k04_buttercup10100 @ sK64_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK65_SY180 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK65_SY180 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK66_SY182 ) )
              | ~ ( b48_buttercup10110 @ sK66_SY182 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[846]) ).

thf(881,plain,
    ! [SV88: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV88 )
          | ~ ( b48_buttercup10110 @ SV88 ) )
        = $true )
      | ( ( ~ ( ~ ( b48_buttercup10110 @ sK63_X53 )
              | ~ ~ ( k04_buttercup10100 @ sK63_X53 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10110 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK60_X47 )
                                      | ~ ( k04_buttercup10100 @ sK60_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK61_SY177 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK61_SY177 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK62_SY179 ) )
              | ~ ( b48_buttercup10110 @ sK62_SY179 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[847]) ).

thf(882,plain,
    ! [SV89: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV89 )
          | ~ ( b48_buttercup10110 @ SV89 ) )
        = $true )
      | ( ( ~ ( ~ ( b48_buttercup10110 @ sK59_X53 )
              | ~ ~ ( k04_buttercup10100 @ sK59_X53 ) )
          | ~ ( ~ ( k04_buttercup10100 @ sK58_X51 )
              | ~ ~ ( b48_buttercup10110 @ sK58_X51 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                                      | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK57_SY176 ) )
              | ~ ( b48_buttercup10110 @ sK57_SY176 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[848]) ).

thf(883,plain,
    ! [SV90: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV90 )
          | ~ ( b48_buttercup10108 @ SV90 ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10108 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10108 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK84_X39 )
                                      | ~ ( k04_buttercup10100 @ sK84_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK85_SY195 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK85_SY195 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK86_SY197 ) )
              | ~ ( b48_buttercup10108 @ sK86_SY197 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[849]) ).

thf(884,plain,
    ! [SV91: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV91 )
          | ~ ( b48_buttercup10108 @ SV91 ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10108 @ SX0 ) )
          | ~ ( ~ ( k04_buttercup10100 @ sK83_X43 )
              | ~ ~ ( b48_buttercup10108 @ sK83_X43 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK80_X39 )
                                      | ~ ( k04_buttercup10100 @ sK80_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK81_SY192 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK81_SY192 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK82_SY194 ) )
              | ~ ( b48_buttercup10108 @ sK82_SY194 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[850]) ).

thf(885,plain,
    ! [SV92: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV92 )
          | ~ ( b48_buttercup10108 @ SV92 ) )
        = $true )
      | ( ( ~ ( ~ ( b48_buttercup10108 @ sK79_X45 )
              | ~ ~ ( k04_buttercup10100 @ sK79_X45 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10108 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK76_X39 )
                                      | ~ ( k04_buttercup10100 @ sK76_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK77_SY189 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK77_SY189 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK78_SY191 ) )
              | ~ ( b48_buttercup10108 @ sK78_SY191 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[851]) ).

thf(886,plain,
    ! [SV93: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV93 )
          | ~ ( b48_buttercup10108 @ SV93 ) )
        = $true )
      | ( ( ~ ( ~ ( b48_buttercup10108 @ sK75_X45 )
              | ~ ~ ( k04_buttercup10100 @ sK75_X45 ) )
          | ~ ( ~ ( k04_buttercup10100 @ sK74_X43 )
              | ~ ~ ( b48_buttercup10108 @ sK74_X43 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                                      | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK73_SY188 ) )
              | ~ ( b48_buttercup10108 @ sK73_SY188 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[852]) ).

thf(887,plain,
    ! [SV94: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ SV94 )
          | ~ ( b48_buttercup10111 @ SV94 ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10619 @ SX0 )
              | ( b48_buttercup10111 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10111 @ SX0 )
              | ( k04_buttercup10619 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK118_X19 )
                                      | ~ ( k04_buttercup10619 @ sK118_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK119_SY219 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK119_SY219 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK120_SY221 ) )
              | ~ ( b48_buttercup10111 @ sK120_SY221 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[855]) ).

thf(888,plain,
    ! [SV95: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ SV95 )
          | ~ ( b48_buttercup10111 @ SV95 ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10619 @ SX0 )
              | ( b48_buttercup10111 @ SX0 ) )
          | ~ ( ~ ( k04_buttercup10619 @ sK117_X23 )
              | ~ ~ ( b48_buttercup10111 @ sK117_X23 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK114_X19 )
                                      | ~ ( k04_buttercup10619 @ sK114_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK115_SY216 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK115_SY216 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK116_SY218 ) )
              | ~ ( b48_buttercup10111 @ sK116_SY218 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[856]) ).

thf(889,plain,
    ! [SV96: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ SV96 )
          | ~ ( b48_buttercup10111 @ SV96 ) )
        = $true )
      | ( ( ~ ( ~ ( b48_buttercup10111 @ sK113_X25 )
              | ~ ~ ( k04_buttercup10619 @ sK113_X25 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10111 @ SX0 )
              | ( k04_buttercup10619 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK110_X19 )
                                      | ~ ( k04_buttercup10619 @ sK110_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK111_SY213 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK111_SY213 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK112_SY215 ) )
              | ~ ( b48_buttercup10111 @ sK112_SY215 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[857]) ).

thf(890,plain,
    ! [SV97: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ SV97 )
          | ~ ( b48_buttercup10111 @ SV97 ) )
        = $true )
      | ( ( ~ ( ~ ( b48_buttercup10111 @ sK109_X25 )
              | ~ ~ ( k04_buttercup10619 @ sK109_X25 ) )
          | ~ ( ~ ( k04_buttercup10619 @ sK108_X23 )
              | ~ ~ ( b48_buttercup10111 @ sK108_X23 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                                      | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK107_SY212 ) )
              | ~ ( b48_buttercup10111 @ sK107_SY212 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[858]) ).

thf(891,plain,
    ! [SV57: $i] :
      ( ( ( b48_buttercup10102 @ SV57 )
        = $true )
      | ( ( b48_buttercup10104 @ SV57 )
        = $true )
      | ( ( b48_buttercup10107 @ SV57 )
        = $true )
      | ( ( b48_buttercup10108 @ SV57 )
        = $true )
      | ( ( b48_buttercup10109 @ SV57 )
        = $true )
      | ( ( b48_buttercup10110 @ SV57 )
        = $true )
      | ( ( b48_buttercup10111 @ SV57 )
        = $true )
      | ( ( b48_buttercup10098 @ SV57 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[859]) ).

thf(892,plain,
    ! [SV69: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV69 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10102 @ SV69 ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10102 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10102 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK48_X63 )
                                      | ~ ( k04_buttercup10100 @ sK48_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK49_SY171 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK49_SY171 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK50_SY173 ) )
              | ~ ( b48_buttercup10102 @ sK50_SY173 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[860]) ).

thf(893,plain,
    ! [SV70: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV70 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10102 @ SV70 ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10102 @ SX0 ) )
          | ~ ( ~ ( k04_buttercup10100 @ sK47_X67 )
              | ~ ~ ( b48_buttercup10102 @ sK47_X67 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK44_X63 )
                                      | ~ ( k04_buttercup10100 @ sK44_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK45_SY168 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK45_SY168 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK46_SY170 ) )
              | ~ ( b48_buttercup10102 @ sK46_SY170 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[861]) ).

thf(894,plain,
    ! [SV71: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV71 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10102 @ SV71 ) )
        = $true )
      | ( ( ~ ( ~ ( b48_buttercup10102 @ sK43_X69 )
              | ~ ~ ( k04_buttercup10100 @ sK43_X69 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10102 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK40_X63 )
                                      | ~ ( k04_buttercup10100 @ sK40_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK41_SY165 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK41_SY165 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK42_SY167 ) )
              | ~ ( b48_buttercup10102 @ sK42_SY167 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[862]) ).

thf(895,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV72 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10102 @ SV72 ) )
        = $true )
      | ( ( ~ ( ~ ( b48_buttercup10102 @ sK39_X69 )
              | ~ ~ ( k04_buttercup10100 @ sK39_X69 ) )
          | ~ ( ~ ( k04_buttercup10100 @ sK38_X67 )
              | ~ ~ ( b48_buttercup10102 @ sK38_X67 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                                      | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK37_SY164 ) )
              | ~ ( b48_buttercup10102 @ sK37_SY164 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[863]) ).

thf(896,plain,
    ! [SV98: $i,SV73: $i,SV68: $i] :
      ( ( ~ ( b48_buttercup10098 @ SV68 )
        | ~ ( k04_buttercup10100 @ SV68 )
        | ~ ( k04_buttercup10100 @ SV73 )
        | ( b48_buttercup10098 @ SV73 )
        | ( k04_buttercup10100 @ SV98 )
        | ~ ( b48_buttercup10098 @ SV98 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[864]) ).

thf(897,plain,
    ( ( ~ ( ~ ( sK5_REN
              | ! [SX0: $i] :
                  ( ~ ( k04_buttercup10100 @ SX0 )
                  | ( b48_buttercup10098 @ SX0 ) ) )
          | ~ ( ~ sK5_REN
              | ~ ( ~ ( b48_buttercup10098 @ sK2_X142 )
                  | ~ ~ ( k04_buttercup10100 @ sK2_X142 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[865]) ).

thf(898,plain,
    ( ( ~ ( ~ ( sK4_REN
              | ! [SX0: $i] :
                  ( ~ ( b48_buttercup10098 @ SX0 )
                  | ( k04_buttercup10100 @ SX0 ) ) )
          | ~ ( ~ sK4_REN
              | ~ ( ~ ( k04_buttercup10100 @ sK1_X144 )
                  | ~ ~ ( b48_buttercup10098 @ sK1_X144 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[866]) ).

thf(899,plain,
    ! [SV74: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ SV74 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10109 @ SV74 ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10619 @ SX0 )
              | ( b48_buttercup10109 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10109 @ SX0 )
              | ( k04_buttercup10619 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK101_X29 )
                                      | ~ ( k04_buttercup10619 @ sK101_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK102_SY207 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK102_SY207 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK103_SY209 ) )
              | ~ ( b48_buttercup10109 @ sK103_SY209 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[867]) ).

thf(900,plain,
    ! [SV75: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ SV75 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10109 @ SV75 ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10619 @ SX0 )
              | ( b48_buttercup10109 @ SX0 ) )
          | ~ ( ~ ( k04_buttercup10619 @ sK100_X33 )
              | ~ ~ ( b48_buttercup10109 @ sK100_X33 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK97_X29 )
                                      | ~ ( k04_buttercup10619 @ sK97_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK98_SY204 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK98_SY204 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK99_SY206 ) )
              | ~ ( b48_buttercup10109 @ sK99_SY206 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[868]) ).

thf(901,plain,
    ! [SV76: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ SV76 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10109 @ SV76 ) )
        = $true )
      | ( ( ~ ( ~ ( b48_buttercup10109 @ sK96_X35 )
              | ~ ~ ( k04_buttercup10619 @ sK96_X35 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10109 @ SX0 )
              | ( k04_buttercup10619 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK93_X29 )
                                      | ~ ( k04_buttercup10619 @ sK93_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK94_SY201 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK94_SY201 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK95_SY203 ) )
              | ~ ( b48_buttercup10109 @ sK95_SY203 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[869]) ).

thf(902,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ SV77 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10109 @ SV77 ) )
        = $true )
      | ( ( ~ ( ~ ( b48_buttercup10109 @ sK92_X35 )
              | ~ ~ ( k04_buttercup10619 @ sK92_X35 ) )
          | ~ ( ~ ( k04_buttercup10619 @ sK91_X33 )
              | ~ ~ ( b48_buttercup10109 @ sK91_X33 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                                      | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK90_SY200 ) )
              | ~ ( b48_buttercup10109 @ sK90_SY200 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[870]) ).

thf(903,plain,
    ! [SV78: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV78 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10107 @ SV78 ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10107 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10107 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK31_X74 )
                                      | ~ ( k04_buttercup10100 @ sK31_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK32_SY159 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK32_SY159 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK33_SY161 ) )
              | ~ ( b48_buttercup10107 @ sK33_SY161 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[871]) ).

thf(904,plain,
    ! [SV79: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV79 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10107 @ SV79 ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10107 @ SX0 ) )
          | ~ ( ~ ( k04_buttercup10100 @ sK30_X78 )
              | ~ ~ ( b48_buttercup10107 @ sK30_X78 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK27_X74 )
                                      | ~ ( k04_buttercup10100 @ sK27_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK28_SY156 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK28_SY156 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK29_SY158 ) )
              | ~ ( b48_buttercup10107 @ sK29_SY158 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[872]) ).

thf(905,plain,
    ! [SV80: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV80 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10107 @ SV80 ) )
        = $true )
      | ( ( ~ ( ~ ( b48_buttercup10107 @ sK26_X80 )
              | ~ ~ ( k04_buttercup10100 @ sK26_X80 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10107 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK23_X74 )
                                      | ~ ( k04_buttercup10100 @ sK23_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK24_SY153 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK24_SY153 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK25_SY155 ) )
              | ~ ( b48_buttercup10107 @ sK25_SY155 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[873]) ).

thf(906,plain,
    ! [SV81: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV81 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10107 @ SV81 ) )
        = $true )
      | ( ( ~ ( ~ ( b48_buttercup10107 @ sK22_X80 )
              | ~ ~ ( k04_buttercup10100 @ sK22_X80 ) )
          | ~ ( ~ ( k04_buttercup10100 @ sK21_X78 )
              | ~ ~ ( b48_buttercup10107 @ sK21_X78 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                                      | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK20_SY152 ) )
              | ~ ( b48_buttercup10107 @ sK20_SY152 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[874]) ).

thf(907,plain,
    ! [SV82: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV82 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10104 @ SV82 ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10104 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10104 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK135_X9 )
                                      | ~ ( k04_buttercup10100 @ sK135_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK136_SY231 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK136_SY231 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK137_SY233 ) )
              | ~ ( b48_buttercup10104 @ sK137_SY233 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[875]) ).

thf(908,plain,
    ! [SV83: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV83 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10104 @ SV83 ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10104 @ SX0 ) )
          | ~ ( ~ ( k04_buttercup10100 @ sK134_X13 )
              | ~ ~ ( b48_buttercup10104 @ sK134_X13 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK131_X9 )
                                      | ~ ( k04_buttercup10100 @ sK131_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK132_SY228 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK132_SY228 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK133_SY230 ) )
              | ~ ( b48_buttercup10104 @ sK133_SY230 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[876]) ).

thf(909,plain,
    ! [SV84: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV84 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10104 @ SV84 ) )
        = $true )
      | ( ( ~ ( ~ ( b48_buttercup10104 @ sK130_X15 )
              | ~ ~ ( k04_buttercup10100 @ sK130_X15 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10104 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK127_X9 )
                                      | ~ ( k04_buttercup10100 @ sK127_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK128_SY225 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK128_SY225 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK129_SY227 ) )
              | ~ ( b48_buttercup10104 @ sK129_SY227 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[877]) ).

thf(910,plain,
    ! [SV85: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV85 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10104 @ SV85 ) )
        = $true )
      | ( ( ~ ( ~ ( b48_buttercup10104 @ sK126_X15 )
              | ~ ~ ( k04_buttercup10100 @ sK126_X15 ) )
          | ~ ( ~ ( k04_buttercup10100 @ sK125_X13 )
              | ~ ~ ( b48_buttercup10104 @ sK125_X13 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                                      | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK124_SY224 ) )
              | ~ ( b48_buttercup10104 @ sK124_SY224 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[878]) ).

thf(911,plain,
    ! [SV86: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV86 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10110 @ SV86 ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10110 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10110 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK68_X47 )
                                      | ~ ( k04_buttercup10100 @ sK68_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK69_SY183 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK69_SY183 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK70_SY185 ) )
              | ~ ( b48_buttercup10110 @ sK70_SY185 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[879]) ).

thf(912,plain,
    ! [SV87: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV87 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10110 @ SV87 ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10110 @ SX0 ) )
          | ~ ( ~ ( k04_buttercup10100 @ sK67_X51 )
              | ~ ~ ( b48_buttercup10110 @ sK67_X51 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK64_X47 )
                                      | ~ ( k04_buttercup10100 @ sK64_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK65_SY180 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK65_SY180 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK66_SY182 ) )
              | ~ ( b48_buttercup10110 @ sK66_SY182 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[880]) ).

thf(913,plain,
    ! [SV88: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV88 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10110 @ SV88 ) )
        = $true )
      | ( ( ~ ( ~ ( b48_buttercup10110 @ sK63_X53 )
              | ~ ~ ( k04_buttercup10100 @ sK63_X53 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10110 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK60_X47 )
                                      | ~ ( k04_buttercup10100 @ sK60_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK61_SY177 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK61_SY177 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK62_SY179 ) )
              | ~ ( b48_buttercup10110 @ sK62_SY179 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[881]) ).

thf(914,plain,
    ! [SV89: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV89 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10110 @ SV89 ) )
        = $true )
      | ( ( ~ ( ~ ( b48_buttercup10110 @ sK59_X53 )
              | ~ ~ ( k04_buttercup10100 @ sK59_X53 ) )
          | ~ ( ~ ( k04_buttercup10100 @ sK58_X51 )
              | ~ ~ ( b48_buttercup10110 @ sK58_X51 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                                      | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK57_SY176 ) )
              | ~ ( b48_buttercup10110 @ sK57_SY176 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[882]) ).

thf(915,plain,
    ! [SV90: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV90 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10108 @ SV90 ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10108 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10108 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK84_X39 )
                                      | ~ ( k04_buttercup10100 @ sK84_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK85_SY195 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK85_SY195 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK86_SY197 ) )
              | ~ ( b48_buttercup10108 @ sK86_SY197 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[883]) ).

thf(916,plain,
    ! [SV91: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV91 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10108 @ SV91 ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10108 @ SX0 ) )
          | ~ ( ~ ( k04_buttercup10100 @ sK83_X43 )
              | ~ ~ ( b48_buttercup10108 @ sK83_X43 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK80_X39 )
                                      | ~ ( k04_buttercup10100 @ sK80_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK81_SY192 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK81_SY192 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK82_SY194 ) )
              | ~ ( b48_buttercup10108 @ sK82_SY194 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[884]) ).

thf(917,plain,
    ! [SV92: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV92 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10108 @ SV92 ) )
        = $true )
      | ( ( ~ ( ~ ( b48_buttercup10108 @ sK79_X45 )
              | ~ ~ ( k04_buttercup10100 @ sK79_X45 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10108 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK76_X39 )
                                      | ~ ( k04_buttercup10100 @ sK76_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK77_SY189 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK77_SY189 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK78_SY191 ) )
              | ~ ( b48_buttercup10108 @ sK78_SY191 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[885]) ).

thf(918,plain,
    ! [SV93: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV93 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10108 @ SV93 ) )
        = $true )
      | ( ( ~ ( ~ ( b48_buttercup10108 @ sK75_X45 )
              | ~ ~ ( k04_buttercup10100 @ sK75_X45 ) )
          | ~ ( ~ ( k04_buttercup10100 @ sK74_X43 )
              | ~ ~ ( b48_buttercup10108 @ sK74_X43 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                                      | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK73_SY188 ) )
              | ~ ( b48_buttercup10108 @ sK73_SY188 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[886]) ).

thf(919,plain,
    ! [SV94: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ SV94 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10111 @ SV94 ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10619 @ SX0 )
              | ( b48_buttercup10111 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10111 @ SX0 )
              | ( k04_buttercup10619 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK118_X19 )
                                      | ~ ( k04_buttercup10619 @ sK118_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK119_SY219 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK119_SY219 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK120_SY221 ) )
              | ~ ( b48_buttercup10111 @ sK120_SY221 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[887]) ).

thf(920,plain,
    ! [SV95: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ SV95 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10111 @ SV95 ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10619 @ SX0 )
              | ( b48_buttercup10111 @ SX0 ) )
          | ~ ( ~ ( k04_buttercup10619 @ sK117_X23 )
              | ~ ~ ( b48_buttercup10111 @ sK117_X23 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK114_X19 )
                                      | ~ ( k04_buttercup10619 @ sK114_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK115_SY216 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK115_SY216 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK116_SY218 ) )
              | ~ ( b48_buttercup10111 @ sK116_SY218 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[888]) ).

thf(921,plain,
    ! [SV96: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ SV96 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10111 @ SV96 ) )
        = $true )
      | ( ( ~ ( ~ ( b48_buttercup10111 @ sK113_X25 )
              | ~ ~ ( k04_buttercup10619 @ sK113_X25 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10111 @ SX0 )
              | ( k04_buttercup10619 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK110_X19 )
                                      | ~ ( k04_buttercup10619 @ sK110_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK111_SY213 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK111_SY213 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK112_SY215 ) )
              | ~ ( b48_buttercup10111 @ sK112_SY215 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[889]) ).

thf(922,plain,
    ! [SV97: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ SV97 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10111 @ SV97 ) )
        = $true )
      | ( ( ~ ( ~ ( b48_buttercup10111 @ sK109_X25 )
              | ~ ~ ( k04_buttercup10619 @ sK109_X25 ) )
          | ~ ( ~ ( k04_buttercup10619 @ sK108_X23 )
              | ~ ~ ( b48_buttercup10111 @ sK108_X23 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                                      | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK107_SY212 ) )
              | ~ ( b48_buttercup10111 @ sK107_SY212 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[890]) ).

thf(923,plain,
    ! [SV69: $i] :
      ( ( ( k04_buttercup10100 @ SV69 )
        = $false )
      | ( ( ~ ( b48_buttercup10102 @ SV69 ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10102 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10102 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK48_X63 )
                                      | ~ ( k04_buttercup10100 @ sK48_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK49_SY171 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK49_SY171 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK50_SY173 ) )
              | ~ ( b48_buttercup10102 @ sK50_SY173 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[892]) ).

thf(924,plain,
    ! [SV70: $i] :
      ( ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( ~ ( b48_buttercup10102 @ SV70 ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10102 @ SX0 ) )
          | ~ ( ~ ( k04_buttercup10100 @ sK47_X67 )
              | ~ ~ ( b48_buttercup10102 @ sK47_X67 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK44_X63 )
                                      | ~ ( k04_buttercup10100 @ sK44_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK45_SY168 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK45_SY168 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK46_SY170 ) )
              | ~ ( b48_buttercup10102 @ sK46_SY170 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[893]) ).

thf(925,plain,
    ! [SV71: $i] :
      ( ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( ~ ( b48_buttercup10102 @ SV71 ) )
        = $true )
      | ( ( ~ ( ~ ( b48_buttercup10102 @ sK43_X69 )
              | ~ ~ ( k04_buttercup10100 @ sK43_X69 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10102 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK40_X63 )
                                      | ~ ( k04_buttercup10100 @ sK40_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK41_SY165 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK41_SY165 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK42_SY167 ) )
              | ~ ( b48_buttercup10102 @ sK42_SY167 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[894]) ).

thf(926,plain,
    ! [SV72: $i] :
      ( ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( ~ ( b48_buttercup10102 @ SV72 ) )
        = $true )
      | ( ( ~ ( ~ ( b48_buttercup10102 @ sK39_X69 )
              | ~ ~ ( k04_buttercup10100 @ sK39_X69 ) )
          | ~ ( ~ ( k04_buttercup10100 @ sK38_X67 )
              | ~ ~ ( b48_buttercup10102 @ sK38_X67 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                                      | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK37_SY164 ) )
              | ~ ( b48_buttercup10102 @ sK37_SY164 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[895]) ).

thf(927,plain,
    ! [SV98: $i,SV73: $i,SV68: $i] :
      ( ( ( ~ ( b48_buttercup10098 @ SV68 )
          | ~ ( k04_buttercup10100 @ SV68 )
          | ~ ( k04_buttercup10100 @ SV73 )
          | ( b48_buttercup10098 @ SV73 )
          | ( k04_buttercup10100 @ SV98 ) )
        = $true )
      | ( ( ~ ( b48_buttercup10098 @ SV98 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[896]) ).

thf(928,plain,
    ( ( ~ ( sK5_REN
          | ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10098 @ SX0 ) ) )
      | ~ ( ~ sK5_REN
          | ~ ( ~ ( b48_buttercup10098 @ sK2_X142 )
              | ~ ~ ( k04_buttercup10100 @ sK2_X142 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[897]) ).

thf(929,plain,
    ( ( ~ ( sK4_REN
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10098 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) ) )
      | ~ ( ~ sK4_REN
          | ~ ( ~ ( k04_buttercup10100 @ sK1_X144 )
              | ~ ~ ( b48_buttercup10098 @ sK1_X144 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[898]) ).

thf(930,plain,
    ! [SV74: $i] :
      ( ( ( k04_buttercup10619 @ SV74 )
        = $false )
      | ( ( ~ ( b48_buttercup10109 @ SV74 ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10619 @ SX0 )
              | ( b48_buttercup10109 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10109 @ SX0 )
              | ( k04_buttercup10619 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK101_X29 )
                                      | ~ ( k04_buttercup10619 @ sK101_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK102_SY207 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK102_SY207 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK103_SY209 ) )
              | ~ ( b48_buttercup10109 @ sK103_SY209 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[899]) ).

thf(931,plain,
    ! [SV75: $i] :
      ( ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( ~ ( b48_buttercup10109 @ SV75 ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10619 @ SX0 )
              | ( b48_buttercup10109 @ SX0 ) )
          | ~ ( ~ ( k04_buttercup10619 @ sK100_X33 )
              | ~ ~ ( b48_buttercup10109 @ sK100_X33 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK97_X29 )
                                      | ~ ( k04_buttercup10619 @ sK97_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK98_SY204 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK98_SY204 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK99_SY206 ) )
              | ~ ( b48_buttercup10109 @ sK99_SY206 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[900]) ).

thf(932,plain,
    ! [SV76: $i] :
      ( ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( ~ ( b48_buttercup10109 @ SV76 ) )
        = $true )
      | ( ( ~ ( ~ ( b48_buttercup10109 @ sK96_X35 )
              | ~ ~ ( k04_buttercup10619 @ sK96_X35 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10109 @ SX0 )
              | ( k04_buttercup10619 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK93_X29 )
                                      | ~ ( k04_buttercup10619 @ sK93_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK94_SY201 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK94_SY201 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK95_SY203 ) )
              | ~ ( b48_buttercup10109 @ sK95_SY203 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[901]) ).

thf(933,plain,
    ! [SV77: $i] :
      ( ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( ~ ( b48_buttercup10109 @ SV77 ) )
        = $true )
      | ( ( ~ ( ~ ( b48_buttercup10109 @ sK92_X35 )
              | ~ ~ ( k04_buttercup10619 @ sK92_X35 ) )
          | ~ ( ~ ( k04_buttercup10619 @ sK91_X33 )
              | ~ ~ ( b48_buttercup10109 @ sK91_X33 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                                      | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK90_SY200 ) )
              | ~ ( b48_buttercup10109 @ sK90_SY200 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[902]) ).

thf(934,plain,
    ! [SV78: $i] :
      ( ( ( k04_buttercup10100 @ SV78 )
        = $false )
      | ( ( ~ ( b48_buttercup10107 @ SV78 ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10107 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10107 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK31_X74 )
                                      | ~ ( k04_buttercup10100 @ sK31_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK32_SY159 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK32_SY159 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK33_SY161 ) )
              | ~ ( b48_buttercup10107 @ sK33_SY161 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[903]) ).

thf(935,plain,
    ! [SV79: $i] :
      ( ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( ~ ( b48_buttercup10107 @ SV79 ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10107 @ SX0 ) )
          | ~ ( ~ ( k04_buttercup10100 @ sK30_X78 )
              | ~ ~ ( b48_buttercup10107 @ sK30_X78 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK27_X74 )
                                      | ~ ( k04_buttercup10100 @ sK27_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK28_SY156 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK28_SY156 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK29_SY158 ) )
              | ~ ( b48_buttercup10107 @ sK29_SY158 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[904]) ).

thf(936,plain,
    ! [SV80: $i] :
      ( ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( ~ ( b48_buttercup10107 @ SV80 ) )
        = $true )
      | ( ( ~ ( ~ ( b48_buttercup10107 @ sK26_X80 )
              | ~ ~ ( k04_buttercup10100 @ sK26_X80 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10107 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK23_X74 )
                                      | ~ ( k04_buttercup10100 @ sK23_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK24_SY153 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK24_SY153 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK25_SY155 ) )
              | ~ ( b48_buttercup10107 @ sK25_SY155 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[905]) ).

thf(937,plain,
    ! [SV81: $i] :
      ( ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( ~ ( b48_buttercup10107 @ SV81 ) )
        = $true )
      | ( ( ~ ( ~ ( b48_buttercup10107 @ sK22_X80 )
              | ~ ~ ( k04_buttercup10100 @ sK22_X80 ) )
          | ~ ( ~ ( k04_buttercup10100 @ sK21_X78 )
              | ~ ~ ( b48_buttercup10107 @ sK21_X78 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                                      | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK20_SY152 ) )
              | ~ ( b48_buttercup10107 @ sK20_SY152 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[906]) ).

thf(938,plain,
    ! [SV82: $i] :
      ( ( ( k04_buttercup10100 @ SV82 )
        = $false )
      | ( ( ~ ( b48_buttercup10104 @ SV82 ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10104 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10104 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK135_X9 )
                                      | ~ ( k04_buttercup10100 @ sK135_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK136_SY231 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK136_SY231 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK137_SY233 ) )
              | ~ ( b48_buttercup10104 @ sK137_SY233 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[907]) ).

thf(939,plain,
    ! [SV83: $i] :
      ( ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( ~ ( b48_buttercup10104 @ SV83 ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10104 @ SX0 ) )
          | ~ ( ~ ( k04_buttercup10100 @ sK134_X13 )
              | ~ ~ ( b48_buttercup10104 @ sK134_X13 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK131_X9 )
                                      | ~ ( k04_buttercup10100 @ sK131_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK132_SY228 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK132_SY228 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK133_SY230 ) )
              | ~ ( b48_buttercup10104 @ sK133_SY230 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[908]) ).

thf(940,plain,
    ! [SV84: $i] :
      ( ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( ~ ( b48_buttercup10104 @ SV84 ) )
        = $true )
      | ( ( ~ ( ~ ( b48_buttercup10104 @ sK130_X15 )
              | ~ ~ ( k04_buttercup10100 @ sK130_X15 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10104 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK127_X9 )
                                      | ~ ( k04_buttercup10100 @ sK127_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK128_SY225 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK128_SY225 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK129_SY227 ) )
              | ~ ( b48_buttercup10104 @ sK129_SY227 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[909]) ).

thf(941,plain,
    ! [SV85: $i] :
      ( ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( ~ ( b48_buttercup10104 @ SV85 ) )
        = $true )
      | ( ( ~ ( ~ ( b48_buttercup10104 @ sK126_X15 )
              | ~ ~ ( k04_buttercup10100 @ sK126_X15 ) )
          | ~ ( ~ ( k04_buttercup10100 @ sK125_X13 )
              | ~ ~ ( b48_buttercup10104 @ sK125_X13 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                                      | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK124_SY224 ) )
              | ~ ( b48_buttercup10104 @ sK124_SY224 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[910]) ).

thf(942,plain,
    ! [SV86: $i] :
      ( ( ( k04_buttercup10100 @ SV86 )
        = $false )
      | ( ( ~ ( b48_buttercup10110 @ SV86 ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10110 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10110 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK68_X47 )
                                      | ~ ( k04_buttercup10100 @ sK68_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK69_SY183 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK69_SY183 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK70_SY185 ) )
              | ~ ( b48_buttercup10110 @ sK70_SY185 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[911]) ).

thf(943,plain,
    ! [SV87: $i] :
      ( ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( ~ ( b48_buttercup10110 @ SV87 ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10110 @ SX0 ) )
          | ~ ( ~ ( k04_buttercup10100 @ sK67_X51 )
              | ~ ~ ( b48_buttercup10110 @ sK67_X51 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK64_X47 )
                                      | ~ ( k04_buttercup10100 @ sK64_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK65_SY180 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK65_SY180 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK66_SY182 ) )
              | ~ ( b48_buttercup10110 @ sK66_SY182 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[912]) ).

thf(944,plain,
    ! [SV88: $i] :
      ( ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( ~ ( b48_buttercup10110 @ SV88 ) )
        = $true )
      | ( ( ~ ( ~ ( b48_buttercup10110 @ sK63_X53 )
              | ~ ~ ( k04_buttercup10100 @ sK63_X53 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10110 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK60_X47 )
                                      | ~ ( k04_buttercup10100 @ sK60_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK61_SY177 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK61_SY177 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK62_SY179 ) )
              | ~ ( b48_buttercup10110 @ sK62_SY179 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[913]) ).

thf(945,plain,
    ! [SV89: $i] :
      ( ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( ~ ( b48_buttercup10110 @ SV89 ) )
        = $true )
      | ( ( ~ ( ~ ( b48_buttercup10110 @ sK59_X53 )
              | ~ ~ ( k04_buttercup10100 @ sK59_X53 ) )
          | ~ ( ~ ( k04_buttercup10100 @ sK58_X51 )
              | ~ ~ ( b48_buttercup10110 @ sK58_X51 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                                      | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK57_SY176 ) )
              | ~ ( b48_buttercup10110 @ sK57_SY176 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[914]) ).

thf(946,plain,
    ! [SV90: $i] :
      ( ( ( k04_buttercup10100 @ SV90 )
        = $false )
      | ( ( ~ ( b48_buttercup10108 @ SV90 ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10108 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10108 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK84_X39 )
                                      | ~ ( k04_buttercup10100 @ sK84_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK85_SY195 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK85_SY195 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK86_SY197 ) )
              | ~ ( b48_buttercup10108 @ sK86_SY197 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[915]) ).

thf(947,plain,
    ! [SV91: $i] :
      ( ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( ~ ( b48_buttercup10108 @ SV91 ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10108 @ SX0 ) )
          | ~ ( ~ ( k04_buttercup10100 @ sK83_X43 )
              | ~ ~ ( b48_buttercup10108 @ sK83_X43 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK80_X39 )
                                      | ~ ( k04_buttercup10100 @ sK80_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK81_SY192 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK81_SY192 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK82_SY194 ) )
              | ~ ( b48_buttercup10108 @ sK82_SY194 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[916]) ).

thf(948,plain,
    ! [SV92: $i] :
      ( ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( ~ ( b48_buttercup10108 @ SV92 ) )
        = $true )
      | ( ( ~ ( ~ ( b48_buttercup10108 @ sK79_X45 )
              | ~ ~ ( k04_buttercup10100 @ sK79_X45 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10108 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK76_X39 )
                                      | ~ ( k04_buttercup10100 @ sK76_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK77_SY189 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK77_SY189 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK78_SY191 ) )
              | ~ ( b48_buttercup10108 @ sK78_SY191 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[917]) ).

thf(949,plain,
    ! [SV93: $i] :
      ( ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( ~ ( b48_buttercup10108 @ SV93 ) )
        = $true )
      | ( ( ~ ( ~ ( b48_buttercup10108 @ sK75_X45 )
              | ~ ~ ( k04_buttercup10100 @ sK75_X45 ) )
          | ~ ( ~ ( k04_buttercup10100 @ sK74_X43 )
              | ~ ~ ( b48_buttercup10108 @ sK74_X43 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                                      | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK73_SY188 ) )
              | ~ ( b48_buttercup10108 @ sK73_SY188 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[918]) ).

thf(950,plain,
    ! [SV94: $i] :
      ( ( ( k04_buttercup10619 @ SV94 )
        = $false )
      | ( ( ~ ( b48_buttercup10111 @ SV94 ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10619 @ SX0 )
              | ( b48_buttercup10111 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10111 @ SX0 )
              | ( k04_buttercup10619 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK118_X19 )
                                      | ~ ( k04_buttercup10619 @ sK118_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK119_SY219 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK119_SY219 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK120_SY221 ) )
              | ~ ( b48_buttercup10111 @ sK120_SY221 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[919]) ).

thf(951,plain,
    ! [SV95: $i] :
      ( ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( ~ ( b48_buttercup10111 @ SV95 ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10619 @ SX0 )
              | ( b48_buttercup10111 @ SX0 ) )
          | ~ ( ~ ( k04_buttercup10619 @ sK117_X23 )
              | ~ ~ ( b48_buttercup10111 @ sK117_X23 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK114_X19 )
                                      | ~ ( k04_buttercup10619 @ sK114_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK115_SY216 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK115_SY216 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK116_SY218 ) )
              | ~ ( b48_buttercup10111 @ sK116_SY218 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[920]) ).

thf(952,plain,
    ! [SV96: $i] :
      ( ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( ~ ( b48_buttercup10111 @ SV96 ) )
        = $true )
      | ( ( ~ ( ~ ( b48_buttercup10111 @ sK113_X25 )
              | ~ ~ ( k04_buttercup10619 @ sK113_X25 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10111 @ SX0 )
              | ( k04_buttercup10619 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK110_X19 )
                                      | ~ ( k04_buttercup10619 @ sK110_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK111_SY213 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK111_SY213 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK112_SY215 ) )
              | ~ ( b48_buttercup10111 @ sK112_SY215 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[921]) ).

thf(953,plain,
    ! [SV97: $i] :
      ( ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( ~ ( b48_buttercup10111 @ SV97 ) )
        = $true )
      | ( ( ~ ( ~ ( b48_buttercup10111 @ sK109_X25 )
              | ~ ~ ( k04_buttercup10619 @ sK109_X25 ) )
          | ~ ( ~ ( k04_buttercup10619 @ sK108_X23 )
              | ~ ~ ( b48_buttercup10111 @ sK108_X23 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                                      | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK107_SY212 ) )
              | ~ ( b48_buttercup10111 @ sK107_SY212 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[922]) ).

thf(954,plain,
    ! [SV69: $i] :
      ( ( ( b48_buttercup10102 @ SV69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV69 )
        = $false )
      | ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10102 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10102 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK48_X63 )
                                      | ~ ( k04_buttercup10100 @ sK48_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK49_SY171 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK49_SY171 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK50_SY173 ) )
              | ~ ( b48_buttercup10102 @ sK50_SY173 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[923]) ).

thf(955,plain,
    ! [SV70: $i] :
      ( ( ( b48_buttercup10102 @ SV70 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10102 @ SX0 ) )
          | ~ ( ~ ( k04_buttercup10100 @ sK47_X67 )
              | ~ ~ ( b48_buttercup10102 @ sK47_X67 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK44_X63 )
                                      | ~ ( k04_buttercup10100 @ sK44_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK45_SY168 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK45_SY168 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK46_SY170 ) )
              | ~ ( b48_buttercup10102 @ sK46_SY170 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[924]) ).

thf(956,plain,
    ! [SV71: $i] :
      ( ( ( b48_buttercup10102 @ SV71 )
        = $false )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( ~ ( ~ ( b48_buttercup10102 @ sK43_X69 )
              | ~ ~ ( k04_buttercup10100 @ sK43_X69 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10102 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK40_X63 )
                                      | ~ ( k04_buttercup10100 @ sK40_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK41_SY165 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK41_SY165 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK42_SY167 ) )
              | ~ ( b48_buttercup10102 @ sK42_SY167 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[925]) ).

thf(957,plain,
    ! [SV72: $i] :
      ( ( ( b48_buttercup10102 @ SV72 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( ~ ( ~ ( b48_buttercup10102 @ sK39_X69 )
              | ~ ~ ( k04_buttercup10100 @ sK39_X69 ) )
          | ~ ( ~ ( k04_buttercup10100 @ sK38_X67 )
              | ~ ~ ( b48_buttercup10102 @ sK38_X67 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                                      | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK37_SY164 ) )
              | ~ ( b48_buttercup10102 @ sK37_SY164 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[926]) ).

thf(958,plain,
    ! [SV98: $i,SV73: $i,SV68: $i] :
      ( ( ( ~ ( b48_buttercup10098 @ SV68 )
          | ~ ( k04_buttercup10100 @ SV68 )
          | ~ ( k04_buttercup10100 @ SV73 )
          | ( b48_buttercup10098 @ SV73 ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV98 )
        = $true )
      | ( ( ~ ( b48_buttercup10098 @ SV98 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[927]) ).

thf(959,plain,
    ( ( ~ ( sK5_REN
          | ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10098 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[928]) ).

thf(960,plain,
    ( ( ~ ( ~ sK5_REN
          | ~ ( ~ ( b48_buttercup10098 @ sK2_X142 )
              | ~ ~ ( k04_buttercup10100 @ sK2_X142 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[928]) ).

thf(961,plain,
    ( ( ~ ( sK4_REN
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10098 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[929]) ).

thf(962,plain,
    ( ( ~ ( ~ sK4_REN
          | ~ ( ~ ( k04_buttercup10100 @ sK1_X144 )
              | ~ ~ ( b48_buttercup10098 @ sK1_X144 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[929]) ).

thf(963,plain,
    ! [SV74: $i] :
      ( ( ( b48_buttercup10109 @ SV74 )
        = $false )
      | ( ( k04_buttercup10619 @ SV74 )
        = $false )
      | ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10619 @ SX0 )
              | ( b48_buttercup10109 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10109 @ SX0 )
              | ( k04_buttercup10619 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK101_X29 )
                                      | ~ ( k04_buttercup10619 @ sK101_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK102_SY207 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK102_SY207 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK103_SY209 ) )
              | ~ ( b48_buttercup10109 @ sK103_SY209 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[930]) ).

thf(964,plain,
    ! [SV75: $i] :
      ( ( ( b48_buttercup10109 @ SV75 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10619 @ SX0 )
              | ( b48_buttercup10109 @ SX0 ) )
          | ~ ( ~ ( k04_buttercup10619 @ sK100_X33 )
              | ~ ~ ( b48_buttercup10109 @ sK100_X33 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK97_X29 )
                                      | ~ ( k04_buttercup10619 @ sK97_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK98_SY204 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK98_SY204 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK99_SY206 ) )
              | ~ ( b48_buttercup10109 @ sK99_SY206 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[931]) ).

thf(965,plain,
    ! [SV76: $i] :
      ( ( ( b48_buttercup10109 @ SV76 )
        = $false )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( ~ ( ~ ( b48_buttercup10109 @ sK96_X35 )
              | ~ ~ ( k04_buttercup10619 @ sK96_X35 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10109 @ SX0 )
              | ( k04_buttercup10619 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK93_X29 )
                                      | ~ ( k04_buttercup10619 @ sK93_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK94_SY201 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK94_SY201 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK95_SY203 ) )
              | ~ ( b48_buttercup10109 @ sK95_SY203 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[932]) ).

thf(966,plain,
    ! [SV77: $i] :
      ( ( ( b48_buttercup10109 @ SV77 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( ~ ( ~ ( b48_buttercup10109 @ sK92_X35 )
              | ~ ~ ( k04_buttercup10619 @ sK92_X35 ) )
          | ~ ( ~ ( k04_buttercup10619 @ sK91_X33 )
              | ~ ~ ( b48_buttercup10109 @ sK91_X33 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                                      | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK90_SY200 ) )
              | ~ ( b48_buttercup10109 @ sK90_SY200 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[933]) ).

thf(967,plain,
    ! [SV78: $i] :
      ( ( ( b48_buttercup10107 @ SV78 )
        = $false )
      | ( ( k04_buttercup10100 @ SV78 )
        = $false )
      | ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10107 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10107 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK31_X74 )
                                      | ~ ( k04_buttercup10100 @ sK31_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK32_SY159 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK32_SY159 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK33_SY161 ) )
              | ~ ( b48_buttercup10107 @ sK33_SY161 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[934]) ).

thf(968,plain,
    ! [SV79: $i] :
      ( ( ( b48_buttercup10107 @ SV79 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10107 @ SX0 ) )
          | ~ ( ~ ( k04_buttercup10100 @ sK30_X78 )
              | ~ ~ ( b48_buttercup10107 @ sK30_X78 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK27_X74 )
                                      | ~ ( k04_buttercup10100 @ sK27_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK28_SY156 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK28_SY156 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK29_SY158 ) )
              | ~ ( b48_buttercup10107 @ sK29_SY158 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[935]) ).

thf(969,plain,
    ! [SV80: $i] :
      ( ( ( b48_buttercup10107 @ SV80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( ~ ( ~ ( b48_buttercup10107 @ sK26_X80 )
              | ~ ~ ( k04_buttercup10100 @ sK26_X80 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10107 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK23_X74 )
                                      | ~ ( k04_buttercup10100 @ sK23_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK24_SY153 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK24_SY153 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK25_SY155 ) )
              | ~ ( b48_buttercup10107 @ sK25_SY155 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[936]) ).

thf(970,plain,
    ! [SV81: $i] :
      ( ( ( b48_buttercup10107 @ SV81 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( ~ ( ~ ( b48_buttercup10107 @ sK22_X80 )
              | ~ ~ ( k04_buttercup10100 @ sK22_X80 ) )
          | ~ ( ~ ( k04_buttercup10100 @ sK21_X78 )
              | ~ ~ ( b48_buttercup10107 @ sK21_X78 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                                      | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK20_SY152 ) )
              | ~ ( b48_buttercup10107 @ sK20_SY152 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[937]) ).

thf(971,plain,
    ! [SV82: $i] :
      ( ( ( b48_buttercup10104 @ SV82 )
        = $false )
      | ( ( k04_buttercup10100 @ SV82 )
        = $false )
      | ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10104 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10104 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK135_X9 )
                                      | ~ ( k04_buttercup10100 @ sK135_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK136_SY231 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK136_SY231 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK137_SY233 ) )
              | ~ ( b48_buttercup10104 @ sK137_SY233 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[938]) ).

thf(972,plain,
    ! [SV83: $i] :
      ( ( ( b48_buttercup10104 @ SV83 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10104 @ SX0 ) )
          | ~ ( ~ ( k04_buttercup10100 @ sK134_X13 )
              | ~ ~ ( b48_buttercup10104 @ sK134_X13 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK131_X9 )
                                      | ~ ( k04_buttercup10100 @ sK131_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK132_SY228 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK132_SY228 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK133_SY230 ) )
              | ~ ( b48_buttercup10104 @ sK133_SY230 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[939]) ).

thf(973,plain,
    ! [SV84: $i] :
      ( ( ( b48_buttercup10104 @ SV84 )
        = $false )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( ~ ( ~ ( b48_buttercup10104 @ sK130_X15 )
              | ~ ~ ( k04_buttercup10100 @ sK130_X15 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10104 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK127_X9 )
                                      | ~ ( k04_buttercup10100 @ sK127_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK128_SY225 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK128_SY225 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK129_SY227 ) )
              | ~ ( b48_buttercup10104 @ sK129_SY227 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[940]) ).

thf(974,plain,
    ! [SV85: $i] :
      ( ( ( b48_buttercup10104 @ SV85 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( ~ ( ~ ( b48_buttercup10104 @ sK126_X15 )
              | ~ ~ ( k04_buttercup10100 @ sK126_X15 ) )
          | ~ ( ~ ( k04_buttercup10100 @ sK125_X13 )
              | ~ ~ ( b48_buttercup10104 @ sK125_X13 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                                      | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK124_SY224 ) )
              | ~ ( b48_buttercup10104 @ sK124_SY224 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[941]) ).

thf(975,plain,
    ! [SV86: $i] :
      ( ( ( b48_buttercup10110 @ SV86 )
        = $false )
      | ( ( k04_buttercup10100 @ SV86 )
        = $false )
      | ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10110 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10110 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK68_X47 )
                                      | ~ ( k04_buttercup10100 @ sK68_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK69_SY183 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK69_SY183 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK70_SY185 ) )
              | ~ ( b48_buttercup10110 @ sK70_SY185 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[942]) ).

thf(976,plain,
    ! [SV87: $i] :
      ( ( ( b48_buttercup10110 @ SV87 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10110 @ SX0 ) )
          | ~ ( ~ ( k04_buttercup10100 @ sK67_X51 )
              | ~ ~ ( b48_buttercup10110 @ sK67_X51 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK64_X47 )
                                      | ~ ( k04_buttercup10100 @ sK64_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK65_SY180 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK65_SY180 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK66_SY182 ) )
              | ~ ( b48_buttercup10110 @ sK66_SY182 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[943]) ).

thf(977,plain,
    ! [SV88: $i] :
      ( ( ( b48_buttercup10110 @ SV88 )
        = $false )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( ~ ( ~ ( b48_buttercup10110 @ sK63_X53 )
              | ~ ~ ( k04_buttercup10100 @ sK63_X53 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10110 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK60_X47 )
                                      | ~ ( k04_buttercup10100 @ sK60_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK61_SY177 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK61_SY177 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK62_SY179 ) )
              | ~ ( b48_buttercup10110 @ sK62_SY179 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[944]) ).

thf(978,plain,
    ! [SV89: $i] :
      ( ( ( b48_buttercup10110 @ SV89 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( ~ ( ~ ( b48_buttercup10110 @ sK59_X53 )
              | ~ ~ ( k04_buttercup10100 @ sK59_X53 ) )
          | ~ ( ~ ( k04_buttercup10100 @ sK58_X51 )
              | ~ ~ ( b48_buttercup10110 @ sK58_X51 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                                      | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK57_SY176 ) )
              | ~ ( b48_buttercup10110 @ sK57_SY176 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[945]) ).

thf(979,plain,
    ! [SV90: $i] :
      ( ( ( b48_buttercup10108 @ SV90 )
        = $false )
      | ( ( k04_buttercup10100 @ SV90 )
        = $false )
      | ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10108 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10108 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK84_X39 )
                                      | ~ ( k04_buttercup10100 @ sK84_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK85_SY195 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK85_SY195 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK86_SY197 ) )
              | ~ ( b48_buttercup10108 @ sK86_SY197 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[946]) ).

thf(980,plain,
    ! [SV91: $i] :
      ( ( ( b48_buttercup10108 @ SV91 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10108 @ SX0 ) )
          | ~ ( ~ ( k04_buttercup10100 @ sK83_X43 )
              | ~ ~ ( b48_buttercup10108 @ sK83_X43 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK80_X39 )
                                      | ~ ( k04_buttercup10100 @ sK80_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK81_SY192 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK81_SY192 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK82_SY194 ) )
              | ~ ( b48_buttercup10108 @ sK82_SY194 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[947]) ).

thf(981,plain,
    ! [SV92: $i] :
      ( ( ( b48_buttercup10108 @ SV92 )
        = $false )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( ~ ( ~ ( b48_buttercup10108 @ sK79_X45 )
              | ~ ~ ( k04_buttercup10100 @ sK79_X45 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10108 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK76_X39 )
                                      | ~ ( k04_buttercup10100 @ sK76_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK77_SY189 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK77_SY189 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK78_SY191 ) )
              | ~ ( b48_buttercup10108 @ sK78_SY191 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[948]) ).

thf(982,plain,
    ! [SV93: $i] :
      ( ( ( b48_buttercup10108 @ SV93 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( ~ ( ~ ( b48_buttercup10108 @ sK75_X45 )
              | ~ ~ ( k04_buttercup10100 @ sK75_X45 ) )
          | ~ ( ~ ( k04_buttercup10100 @ sK74_X43 )
              | ~ ~ ( b48_buttercup10108 @ sK74_X43 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                                      | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK73_SY188 ) )
              | ~ ( b48_buttercup10108 @ sK73_SY188 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[949]) ).

thf(983,plain,
    ! [SV94: $i] :
      ( ( ( b48_buttercup10111 @ SV94 )
        = $false )
      | ( ( k04_buttercup10619 @ SV94 )
        = $false )
      | ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10619 @ SX0 )
              | ( b48_buttercup10111 @ SX0 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10111 @ SX0 )
              | ( k04_buttercup10619 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK118_X19 )
                                      | ~ ( k04_buttercup10619 @ sK118_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK119_SY219 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK119_SY219 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK120_SY221 ) )
              | ~ ( b48_buttercup10111 @ sK120_SY221 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[950]) ).

thf(984,plain,
    ! [SV95: $i] :
      ( ( ( b48_buttercup10111 @ SV95 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10619 @ SX0 )
              | ( b48_buttercup10111 @ SX0 ) )
          | ~ ( ~ ( k04_buttercup10619 @ sK117_X23 )
              | ~ ~ ( b48_buttercup10111 @ sK117_X23 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK114_X19 )
                                      | ~ ( k04_buttercup10619 @ sK114_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK115_SY216 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK115_SY216 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK116_SY218 ) )
              | ~ ( b48_buttercup10111 @ sK116_SY218 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[951]) ).

thf(985,plain,
    ! [SV96: $i] :
      ( ( ( b48_buttercup10111 @ SV96 )
        = $false )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( ~ ( ~ ( b48_buttercup10111 @ sK113_X25 )
              | ~ ~ ( k04_buttercup10619 @ sK113_X25 ) )
          | ! [SX0: $i] :
              ( ~ ( b48_buttercup10111 @ SX0 )
              | ( k04_buttercup10619 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK110_X19 )
                                      | ~ ( k04_buttercup10619 @ sK110_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK111_SY213 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK111_SY213 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK112_SY215 ) )
              | ~ ( b48_buttercup10111 @ sK112_SY215 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[952]) ).

thf(986,plain,
    ! [SV97: $i] :
      ( ( ( b48_buttercup10111 @ SV97 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( ~ ( ~ ( b48_buttercup10111 @ sK109_X25 )
              | ~ ~ ( k04_buttercup10619 @ sK109_X25 ) )
          | ~ ( ~ ( k04_buttercup10619 @ sK108_X23 )
              | ~ ~ ( b48_buttercup10111 @ sK108_X23 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                                      | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK107_SY212 ) )
              | ~ ( b48_buttercup10111 @ sK107_SY212 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[953]) ).

thf(987,plain,
    ! [SV69: $i] :
      ( ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10102 @ SX0 ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10102 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK48_X63 )
                                      | ~ ( k04_buttercup10100 @ sK48_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK49_SY171 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK49_SY171 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK50_SY173 ) )
              | ~ ( b48_buttercup10102 @ sK50_SY173 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV69 )
        = $false )
      | ( ( b48_buttercup10102 @ SV69 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[954]) ).

thf(988,plain,
    ! [SV70: $i] :
      ( ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10102 @ SX0 ) ) )
        = $true )
      | ( ( ~ ( ~ ( k04_buttercup10100 @ sK47_X67 )
              | ~ ~ ( b48_buttercup10102 @ sK47_X67 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK44_X63 )
                                      | ~ ( k04_buttercup10100 @ sK44_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK45_SY168 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK45_SY168 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK46_SY170 ) )
              | ~ ( b48_buttercup10102 @ sK46_SY170 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[955]) ).

thf(989,plain,
    ! [SV71: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10102 @ sK43_X69 )
              | ~ ~ ( k04_buttercup10100 @ sK43_X69 ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10102 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK40_X63 )
                                      | ~ ( k04_buttercup10100 @ sK40_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK41_SY165 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK41_SY165 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK42_SY167 ) )
              | ~ ( b48_buttercup10102 @ sK42_SY167 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[956]) ).

thf(990,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10102 @ sK39_X69 )
              | ~ ~ ( k04_buttercup10100 @ sK39_X69 ) ) )
        = $true )
      | ( ( ~ ( ~ ( k04_buttercup10100 @ sK38_X67 )
              | ~ ~ ( b48_buttercup10102 @ sK38_X67 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                                      | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK37_SY164 ) )
              | ~ ( b48_buttercup10102 @ sK37_SY164 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[957]) ).

thf(991,plain,
    ! [SV98: $i,SV73: $i,SV68: $i] :
      ( ( ( ~ ( b48_buttercup10098 @ SV68 )
          | ~ ( k04_buttercup10100 @ SV68 )
          | ~ ( k04_buttercup10100 @ SV73 ) )
        = $true )
      | ( ( b48_buttercup10098 @ SV73 )
        = $true )
      | ( ( k04_buttercup10100 @ SV98 )
        = $true )
      | ( ( ~ ( b48_buttercup10098 @ SV98 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[958]) ).

thf(992,plain,
    ( ( sK5_REN
      | ! [SX0: $i] :
          ( ~ ( k04_buttercup10100 @ SX0 )
          | ( b48_buttercup10098 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[959]) ).

thf(993,plain,
    ( ( ~ sK5_REN
      | ~ ( ~ ( b48_buttercup10098 @ sK2_X142 )
          | ~ ~ ( k04_buttercup10100 @ sK2_X142 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[960]) ).

thf(994,plain,
    ( ( sK4_REN
      | ! [SX0: $i] :
          ( ~ ( b48_buttercup10098 @ SX0 )
          | ( k04_buttercup10100 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[961]) ).

thf(995,plain,
    ( ( ~ sK4_REN
      | ~ ( ~ ( k04_buttercup10100 @ sK1_X144 )
          | ~ ~ ( b48_buttercup10098 @ sK1_X144 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[962]) ).

thf(996,plain,
    ! [SV74: $i] :
      ( ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10619 @ SX0 )
              | ( b48_buttercup10109 @ SX0 ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10109 @ SX0 )
              | ( k04_buttercup10619 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK101_X29 )
                                      | ~ ( k04_buttercup10619 @ sK101_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK102_SY207 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK102_SY207 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK103_SY209 ) )
              | ~ ( b48_buttercup10109 @ sK103_SY209 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV74 )
        = $false )
      | ( ( b48_buttercup10109 @ SV74 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[963]) ).

thf(997,plain,
    ! [SV75: $i] :
      ( ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10619 @ SX0 )
              | ( b48_buttercup10109 @ SX0 ) ) )
        = $true )
      | ( ( ~ ( ~ ( k04_buttercup10619 @ sK100_X33 )
              | ~ ~ ( b48_buttercup10109 @ sK100_X33 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK97_X29 )
                                      | ~ ( k04_buttercup10619 @ sK97_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK98_SY204 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK98_SY204 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK99_SY206 ) )
              | ~ ( b48_buttercup10109 @ sK99_SY206 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[964]) ).

thf(998,plain,
    ! [SV76: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10109 @ sK96_X35 )
              | ~ ~ ( k04_buttercup10619 @ sK96_X35 ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10109 @ SX0 )
              | ( k04_buttercup10619 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK93_X29 )
                                      | ~ ( k04_buttercup10619 @ sK93_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK94_SY201 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK94_SY201 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK95_SY203 ) )
              | ~ ( b48_buttercup10109 @ sK95_SY203 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[965]) ).

thf(999,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10109 @ sK92_X35 )
              | ~ ~ ( k04_buttercup10619 @ sK92_X35 ) ) )
        = $true )
      | ( ( ~ ( ~ ( k04_buttercup10619 @ sK91_X33 )
              | ~ ~ ( b48_buttercup10109 @ sK91_X33 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                                      | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK90_SY200 ) )
              | ~ ( b48_buttercup10109 @ sK90_SY200 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[966]) ).

thf(1000,plain,
    ! [SV78: $i] :
      ( ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10107 @ SX0 ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10107 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK31_X74 )
                                      | ~ ( k04_buttercup10100 @ sK31_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK32_SY159 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK32_SY159 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK33_SY161 ) )
              | ~ ( b48_buttercup10107 @ sK33_SY161 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV78 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[967]) ).

thf(1001,plain,
    ! [SV79: $i] :
      ( ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10107 @ SX0 ) ) )
        = $true )
      | ( ( ~ ( ~ ( k04_buttercup10100 @ sK30_X78 )
              | ~ ~ ( b48_buttercup10107 @ sK30_X78 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK27_X74 )
                                      | ~ ( k04_buttercup10100 @ sK27_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK28_SY156 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK28_SY156 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK29_SY158 ) )
              | ~ ( b48_buttercup10107 @ sK29_SY158 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[968]) ).

thf(1002,plain,
    ! [SV80: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10107 @ sK26_X80 )
              | ~ ~ ( k04_buttercup10100 @ sK26_X80 ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10107 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK23_X74 )
                                      | ~ ( k04_buttercup10100 @ sK23_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK24_SY153 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK24_SY153 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK25_SY155 ) )
              | ~ ( b48_buttercup10107 @ sK25_SY155 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[969]) ).

thf(1003,plain,
    ! [SV81: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10107 @ sK22_X80 )
              | ~ ~ ( k04_buttercup10100 @ sK22_X80 ) ) )
        = $true )
      | ( ( ~ ( ~ ( k04_buttercup10100 @ sK21_X78 )
              | ~ ~ ( b48_buttercup10107 @ sK21_X78 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                                      | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK20_SY152 ) )
              | ~ ( b48_buttercup10107 @ sK20_SY152 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[970]) ).

thf(1004,plain,
    ! [SV82: $i] :
      ( ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10104 @ SX0 ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10104 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK135_X9 )
                                      | ~ ( k04_buttercup10100 @ sK135_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK136_SY231 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK136_SY231 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK137_SY233 ) )
              | ~ ( b48_buttercup10104 @ sK137_SY233 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV82 )
        = $false )
      | ( ( b48_buttercup10104 @ SV82 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[971]) ).

thf(1005,plain,
    ! [SV83: $i] :
      ( ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10104 @ SX0 ) ) )
        = $true )
      | ( ( ~ ( ~ ( k04_buttercup10100 @ sK134_X13 )
              | ~ ~ ( b48_buttercup10104 @ sK134_X13 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK131_X9 )
                                      | ~ ( k04_buttercup10100 @ sK131_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK132_SY228 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK132_SY228 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK133_SY230 ) )
              | ~ ( b48_buttercup10104 @ sK133_SY230 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[972]) ).

thf(1006,plain,
    ! [SV84: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10104 @ sK130_X15 )
              | ~ ~ ( k04_buttercup10100 @ sK130_X15 ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10104 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK127_X9 )
                                      | ~ ( k04_buttercup10100 @ sK127_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK128_SY225 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK128_SY225 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK129_SY227 ) )
              | ~ ( b48_buttercup10104 @ sK129_SY227 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[973]) ).

thf(1007,plain,
    ! [SV85: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10104 @ sK126_X15 )
              | ~ ~ ( k04_buttercup10100 @ sK126_X15 ) ) )
        = $true )
      | ( ( ~ ( ~ ( k04_buttercup10100 @ sK125_X13 )
              | ~ ~ ( b48_buttercup10104 @ sK125_X13 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                                      | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK124_SY224 ) )
              | ~ ( b48_buttercup10104 @ sK124_SY224 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[974]) ).

thf(1008,plain,
    ! [SV86: $i] :
      ( ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10110 @ SX0 ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10110 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK68_X47 )
                                      | ~ ( k04_buttercup10100 @ sK68_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK69_SY183 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK69_SY183 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK70_SY185 ) )
              | ~ ( b48_buttercup10110 @ sK70_SY185 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV86 )
        = $false )
      | ( ( b48_buttercup10110 @ SV86 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[975]) ).

thf(1009,plain,
    ! [SV87: $i] :
      ( ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10110 @ SX0 ) ) )
        = $true )
      | ( ( ~ ( ~ ( k04_buttercup10100 @ sK67_X51 )
              | ~ ~ ( b48_buttercup10110 @ sK67_X51 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK64_X47 )
                                      | ~ ( k04_buttercup10100 @ sK64_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK65_SY180 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK65_SY180 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK66_SY182 ) )
              | ~ ( b48_buttercup10110 @ sK66_SY182 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[976]) ).

thf(1010,plain,
    ! [SV88: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10110 @ sK63_X53 )
              | ~ ~ ( k04_buttercup10100 @ sK63_X53 ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10110 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK60_X47 )
                                      | ~ ( k04_buttercup10100 @ sK60_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK61_SY177 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK61_SY177 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK62_SY179 ) )
              | ~ ( b48_buttercup10110 @ sK62_SY179 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[977]) ).

thf(1011,plain,
    ! [SV89: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10110 @ sK59_X53 )
              | ~ ~ ( k04_buttercup10100 @ sK59_X53 ) ) )
        = $true )
      | ( ( ~ ( ~ ( k04_buttercup10100 @ sK58_X51 )
              | ~ ~ ( b48_buttercup10110 @ sK58_X51 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                                      | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK57_SY176 ) )
              | ~ ( b48_buttercup10110 @ sK57_SY176 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[978]) ).

thf(1012,plain,
    ! [SV90: $i] :
      ( ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10108 @ SX0 ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10108 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK84_X39 )
                                      | ~ ( k04_buttercup10100 @ sK84_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK85_SY195 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK85_SY195 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK86_SY197 ) )
              | ~ ( b48_buttercup10108 @ sK86_SY197 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV90 )
        = $false )
      | ( ( b48_buttercup10108 @ SV90 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[979]) ).

thf(1013,plain,
    ! [SV91: $i] :
      ( ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10100 @ SX0 )
              | ( b48_buttercup10108 @ SX0 ) ) )
        = $true )
      | ( ( ~ ( ~ ( k04_buttercup10100 @ sK83_X43 )
              | ~ ~ ( b48_buttercup10108 @ sK83_X43 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK80_X39 )
                                      | ~ ( k04_buttercup10100 @ sK80_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK81_SY192 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK81_SY192 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK82_SY194 ) )
              | ~ ( b48_buttercup10108 @ sK82_SY194 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[980]) ).

thf(1014,plain,
    ! [SV92: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10108 @ sK79_X45 )
              | ~ ~ ( k04_buttercup10100 @ sK79_X45 ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10108 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK76_X39 )
                                      | ~ ( k04_buttercup10100 @ sK76_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK77_SY189 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK77_SY189 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK78_SY191 ) )
              | ~ ( b48_buttercup10108 @ sK78_SY191 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[981]) ).

thf(1015,plain,
    ! [SV93: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10108 @ sK75_X45 )
              | ~ ~ ( k04_buttercup10100 @ sK75_X45 ) ) )
        = $true )
      | ( ( ~ ( ~ ( k04_buttercup10100 @ sK74_X43 )
              | ~ ~ ( b48_buttercup10108 @ sK74_X43 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                                      | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK73_SY188 ) )
              | ~ ( b48_buttercup10108 @ sK73_SY188 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[982]) ).

thf(1016,plain,
    ! [SV94: $i] :
      ( ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10619 @ SX0 )
              | ( b48_buttercup10111 @ SX0 ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10111 @ SX0 )
              | ( k04_buttercup10619 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK118_X19 )
                                      | ~ ( k04_buttercup10619 @ sK118_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK119_SY219 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK119_SY219 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK120_SY221 ) )
              | ~ ( b48_buttercup10111 @ sK120_SY221 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV94 )
        = $false )
      | ( ( b48_buttercup10111 @ SV94 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[983]) ).

thf(1017,plain,
    ! [SV95: $i] :
      ( ( ( ! [SX0: $i] :
              ( ~ ( k04_buttercup10619 @ SX0 )
              | ( b48_buttercup10111 @ SX0 ) ) )
        = $true )
      | ( ( ~ ( ~ ( k04_buttercup10619 @ sK117_X23 )
              | ~ ~ ( b48_buttercup10111 @ sK117_X23 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK114_X19 )
                                      | ~ ( k04_buttercup10619 @ sK114_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK115_SY216 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK115_SY216 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK116_SY218 ) )
              | ~ ( b48_buttercup10111 @ sK116_SY218 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[984]) ).

thf(1018,plain,
    ! [SV96: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10111 @ sK113_X25 )
              | ~ ~ ( k04_buttercup10619 @ sK113_X25 ) ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10111 @ SX0 )
              | ( k04_buttercup10619 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK110_X19 )
                                      | ~ ( k04_buttercup10619 @ sK110_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK111_SY213 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK111_SY213 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK112_SY215 ) )
              | ~ ( b48_buttercup10111 @ sK112_SY215 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[985]) ).

thf(1019,plain,
    ! [SV97: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10111 @ sK109_X25 )
              | ~ ~ ( k04_buttercup10619 @ sK109_X25 ) ) )
        = $true )
      | ( ( ~ ( ~ ( k04_buttercup10619 @ sK108_X23 )
              | ~ ~ ( b48_buttercup10111 @ sK108_X23 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                                      | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK107_SY212 ) )
              | ~ ( b48_buttercup10111 @ sK107_SY212 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[986]) ).

thf(1020,plain,
    ! [SV69: $i,SV99: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV99 )
          | ( b48_buttercup10102 @ SV99 ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10102 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK48_X63 )
                                      | ~ ( k04_buttercup10100 @ sK48_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK49_SY171 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK49_SY171 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK50_SY173 ) )
              | ~ ( b48_buttercup10102 @ sK50_SY173 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV69 )
        = $false )
      | ( ( b48_buttercup10102 @ SV69 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[987]) ).

thf(1021,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV100 )
          | ( b48_buttercup10102 @ SV100 ) )
        = $true )
      | ( ( ~ ( ~ ( k04_buttercup10100 @ sK47_X67 )
              | ~ ~ ( b48_buttercup10102 @ sK47_X67 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK44_X63 )
                                      | ~ ( k04_buttercup10100 @ sK44_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK45_SY168 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK45_SY168 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK46_SY170 ) )
              | ~ ( b48_buttercup10102 @ sK46_SY170 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[988]) ).

thf(1022,plain,
    ! [SV71: $i] :
      ( ( ( ~ ( b48_buttercup10102 @ sK43_X69 )
          | ~ ~ ( k04_buttercup10100 @ sK43_X69 ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10102 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK40_X63 )
                                      | ~ ( k04_buttercup10100 @ sK40_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK41_SY165 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK41_SY165 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK42_SY167 ) )
              | ~ ( b48_buttercup10102 @ sK42_SY167 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[989]) ).

thf(1023,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( b48_buttercup10102 @ sK39_X69 )
          | ~ ~ ( k04_buttercup10100 @ sK39_X69 ) )
        = $false )
      | ( ( ~ ( ~ ( k04_buttercup10100 @ sK38_X67 )
              | ~ ~ ( b48_buttercup10102 @ sK38_X67 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                                      | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK37_SY164 ) )
              | ~ ( b48_buttercup10102 @ sK37_SY164 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[990]) ).

thf(1024,plain,
    ! [SV98: $i,SV73: $i,SV68: $i] :
      ( ( ( ~ ( b48_buttercup10098 @ SV68 )
          | ~ ( k04_buttercup10100 @ SV68 ) )
        = $true )
      | ( ( ~ ( k04_buttercup10100 @ SV73 ) )
        = $true )
      | ( ( b48_buttercup10098 @ SV73 )
        = $true )
      | ( ( k04_buttercup10100 @ SV98 )
        = $true )
      | ( ( ~ ( b48_buttercup10098 @ SV98 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[991]) ).

thf(1025,plain,
    ( ( sK5_REN = $true )
    | ( ( ! [SX0: $i] :
            ( ~ ( k04_buttercup10100 @ SX0 )
            | ( b48_buttercup10098 @ SX0 ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[992]) ).

thf(1026,plain,
    ( ( ( ~ sK5_REN )
      = $true )
    | ( ( ~ ( ~ ( b48_buttercup10098 @ sK2_X142 )
            | ~ ~ ( k04_buttercup10100 @ sK2_X142 ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[993]) ).

thf(1027,plain,
    ( ( sK4_REN = $true )
    | ( ( ! [SX0: $i] :
            ( ~ ( b48_buttercup10098 @ SX0 )
            | ( k04_buttercup10100 @ SX0 ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[994]) ).

thf(1028,plain,
    ( ( ( ~ sK4_REN )
      = $true )
    | ( ( ~ ( ~ ( k04_buttercup10100 @ sK1_X144 )
            | ~ ~ ( b48_buttercup10098 @ sK1_X144 ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[995]) ).

thf(1029,plain,
    ! [SV74: $i,SV101: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ SV101 )
          | ( b48_buttercup10109 @ SV101 ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10109 @ SX0 )
              | ( k04_buttercup10619 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK101_X29 )
                                      | ~ ( k04_buttercup10619 @ sK101_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK102_SY207 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK102_SY207 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK103_SY209 ) )
              | ~ ( b48_buttercup10109 @ sK103_SY209 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV74 )
        = $false )
      | ( ( b48_buttercup10109 @ SV74 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[996]) ).

thf(1030,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ SV102 )
          | ( b48_buttercup10109 @ SV102 ) )
        = $true )
      | ( ( ~ ( ~ ( k04_buttercup10619 @ sK100_X33 )
              | ~ ~ ( b48_buttercup10109 @ sK100_X33 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK97_X29 )
                                      | ~ ( k04_buttercup10619 @ sK97_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK98_SY204 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK98_SY204 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK99_SY206 ) )
              | ~ ( b48_buttercup10109 @ sK99_SY206 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[997]) ).

thf(1031,plain,
    ! [SV76: $i] :
      ( ( ( ~ ( b48_buttercup10109 @ sK96_X35 )
          | ~ ~ ( k04_buttercup10619 @ sK96_X35 ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10109 @ SX0 )
              | ( k04_buttercup10619 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK93_X29 )
                                      | ~ ( k04_buttercup10619 @ sK93_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK94_SY201 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK94_SY201 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK95_SY203 ) )
              | ~ ( b48_buttercup10109 @ sK95_SY203 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[998]) ).

thf(1032,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( b48_buttercup10109 @ sK92_X35 )
          | ~ ~ ( k04_buttercup10619 @ sK92_X35 ) )
        = $false )
      | ( ( ~ ( ~ ( k04_buttercup10619 @ sK91_X33 )
              | ~ ~ ( b48_buttercup10109 @ sK91_X33 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                                      | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK90_SY200 ) )
              | ~ ( b48_buttercup10109 @ sK90_SY200 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[999]) ).

thf(1033,plain,
    ! [SV78: $i,SV103: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV103 )
          | ( b48_buttercup10107 @ SV103 ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10107 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK31_X74 )
                                      | ~ ( k04_buttercup10100 @ sK31_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK32_SY159 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK32_SY159 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK33_SY161 ) )
              | ~ ( b48_buttercup10107 @ sK33_SY161 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV78 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1000]) ).

thf(1034,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV104 )
          | ( b48_buttercup10107 @ SV104 ) )
        = $true )
      | ( ( ~ ( ~ ( k04_buttercup10100 @ sK30_X78 )
              | ~ ~ ( b48_buttercup10107 @ sK30_X78 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK27_X74 )
                                      | ~ ( k04_buttercup10100 @ sK27_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK28_SY156 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK28_SY156 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK29_SY158 ) )
              | ~ ( b48_buttercup10107 @ sK29_SY158 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1001]) ).

thf(1035,plain,
    ! [SV80: $i] :
      ( ( ( ~ ( b48_buttercup10107 @ sK26_X80 )
          | ~ ~ ( k04_buttercup10100 @ sK26_X80 ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10107 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK23_X74 )
                                      | ~ ( k04_buttercup10100 @ sK23_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK24_SY153 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK24_SY153 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK25_SY155 ) )
              | ~ ( b48_buttercup10107 @ sK25_SY155 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1002]) ).

thf(1036,plain,
    ! [SV81: $i] :
      ( ( ( ~ ( b48_buttercup10107 @ sK22_X80 )
          | ~ ~ ( k04_buttercup10100 @ sK22_X80 ) )
        = $false )
      | ( ( ~ ( ~ ( k04_buttercup10100 @ sK21_X78 )
              | ~ ~ ( b48_buttercup10107 @ sK21_X78 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                                      | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK20_SY152 ) )
              | ~ ( b48_buttercup10107 @ sK20_SY152 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1003]) ).

thf(1037,plain,
    ! [SV82: $i,SV105: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV105 )
          | ( b48_buttercup10104 @ SV105 ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10104 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK135_X9 )
                                      | ~ ( k04_buttercup10100 @ sK135_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK136_SY231 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK136_SY231 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK137_SY233 ) )
              | ~ ( b48_buttercup10104 @ sK137_SY233 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV82 )
        = $false )
      | ( ( b48_buttercup10104 @ SV82 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1004]) ).

thf(1038,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV106 )
          | ( b48_buttercup10104 @ SV106 ) )
        = $true )
      | ( ( ~ ( ~ ( k04_buttercup10100 @ sK134_X13 )
              | ~ ~ ( b48_buttercup10104 @ sK134_X13 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK131_X9 )
                                      | ~ ( k04_buttercup10100 @ sK131_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK132_SY228 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK132_SY228 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK133_SY230 ) )
              | ~ ( b48_buttercup10104 @ sK133_SY230 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1005]) ).

thf(1039,plain,
    ! [SV84: $i] :
      ( ( ( ~ ( b48_buttercup10104 @ sK130_X15 )
          | ~ ~ ( k04_buttercup10100 @ sK130_X15 ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10104 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK127_X9 )
                                      | ~ ( k04_buttercup10100 @ sK127_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK128_SY225 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK128_SY225 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK129_SY227 ) )
              | ~ ( b48_buttercup10104 @ sK129_SY227 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1006]) ).

thf(1040,plain,
    ! [SV85: $i] :
      ( ( ( ~ ( b48_buttercup10104 @ sK126_X15 )
          | ~ ~ ( k04_buttercup10100 @ sK126_X15 ) )
        = $false )
      | ( ( ~ ( ~ ( k04_buttercup10100 @ sK125_X13 )
              | ~ ~ ( b48_buttercup10104 @ sK125_X13 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                                      | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK124_SY224 ) )
              | ~ ( b48_buttercup10104 @ sK124_SY224 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1007]) ).

thf(1041,plain,
    ! [SV86: $i,SV107: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV107 )
          | ( b48_buttercup10110 @ SV107 ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10110 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK68_X47 )
                                      | ~ ( k04_buttercup10100 @ sK68_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK69_SY183 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK69_SY183 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK70_SY185 ) )
              | ~ ( b48_buttercup10110 @ sK70_SY185 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV86 )
        = $false )
      | ( ( b48_buttercup10110 @ SV86 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1008]) ).

thf(1042,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV108 )
          | ( b48_buttercup10110 @ SV108 ) )
        = $true )
      | ( ( ~ ( ~ ( k04_buttercup10100 @ sK67_X51 )
              | ~ ~ ( b48_buttercup10110 @ sK67_X51 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK64_X47 )
                                      | ~ ( k04_buttercup10100 @ sK64_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK65_SY180 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK65_SY180 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK66_SY182 ) )
              | ~ ( b48_buttercup10110 @ sK66_SY182 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1009]) ).

thf(1043,plain,
    ! [SV88: $i] :
      ( ( ( ~ ( b48_buttercup10110 @ sK63_X53 )
          | ~ ~ ( k04_buttercup10100 @ sK63_X53 ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10110 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK60_X47 )
                                      | ~ ( k04_buttercup10100 @ sK60_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK61_SY177 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK61_SY177 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK62_SY179 ) )
              | ~ ( b48_buttercup10110 @ sK62_SY179 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1010]) ).

thf(1044,plain,
    ! [SV89: $i] :
      ( ( ( ~ ( b48_buttercup10110 @ sK59_X53 )
          | ~ ~ ( k04_buttercup10100 @ sK59_X53 ) )
        = $false )
      | ( ( ~ ( ~ ( k04_buttercup10100 @ sK58_X51 )
              | ~ ~ ( b48_buttercup10110 @ sK58_X51 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                                      | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK57_SY176 ) )
              | ~ ( b48_buttercup10110 @ sK57_SY176 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1011]) ).

thf(1045,plain,
    ! [SV90: $i,SV109: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV109 )
          | ( b48_buttercup10108 @ SV109 ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10108 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK84_X39 )
                                      | ~ ( k04_buttercup10100 @ sK84_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK85_SY195 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK85_SY195 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK86_SY197 ) )
              | ~ ( b48_buttercup10108 @ sK86_SY197 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV90 )
        = $false )
      | ( ( b48_buttercup10108 @ SV90 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1012]) ).

thf(1046,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV110 )
          | ( b48_buttercup10108 @ SV110 ) )
        = $true )
      | ( ( ~ ( ~ ( k04_buttercup10100 @ sK83_X43 )
              | ~ ~ ( b48_buttercup10108 @ sK83_X43 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK80_X39 )
                                      | ~ ( k04_buttercup10100 @ sK80_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK81_SY192 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK81_SY192 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK82_SY194 ) )
              | ~ ( b48_buttercup10108 @ sK82_SY194 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1013]) ).

thf(1047,plain,
    ! [SV92: $i] :
      ( ( ( ~ ( b48_buttercup10108 @ sK79_X45 )
          | ~ ~ ( k04_buttercup10100 @ sK79_X45 ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10108 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK76_X39 )
                                      | ~ ( k04_buttercup10100 @ sK76_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK77_SY189 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK77_SY189 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK78_SY191 ) )
              | ~ ( b48_buttercup10108 @ sK78_SY191 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1014]) ).

thf(1048,plain,
    ! [SV93: $i] :
      ( ( ( ~ ( b48_buttercup10108 @ sK75_X45 )
          | ~ ~ ( k04_buttercup10100 @ sK75_X45 ) )
        = $false )
      | ( ( ~ ( ~ ( k04_buttercup10100 @ sK74_X43 )
              | ~ ~ ( b48_buttercup10108 @ sK74_X43 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                                      | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK73_SY188 ) )
              | ~ ( b48_buttercup10108 @ sK73_SY188 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1015]) ).

thf(1049,plain,
    ! [SV94: $i,SV111: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ SV111 )
          | ( b48_buttercup10111 @ SV111 ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10111 @ SX0 )
              | ( k04_buttercup10619 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK118_X19 )
                                      | ~ ( k04_buttercup10619 @ sK118_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK119_SY219 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK119_SY219 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK120_SY221 ) )
              | ~ ( b48_buttercup10111 @ sK120_SY221 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV94 )
        = $false )
      | ( ( b48_buttercup10111 @ SV94 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1016]) ).

thf(1050,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ SV112 )
          | ( b48_buttercup10111 @ SV112 ) )
        = $true )
      | ( ( ~ ( ~ ( k04_buttercup10619 @ sK117_X23 )
              | ~ ~ ( b48_buttercup10111 @ sK117_X23 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK114_X19 )
                                      | ~ ( k04_buttercup10619 @ sK114_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK115_SY216 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK115_SY216 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK116_SY218 ) )
              | ~ ( b48_buttercup10111 @ sK116_SY218 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1017]) ).

thf(1051,plain,
    ! [SV96: $i] :
      ( ( ( ~ ( b48_buttercup10111 @ sK113_X25 )
          | ~ ~ ( k04_buttercup10619 @ sK113_X25 ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10111 @ SX0 )
              | ( k04_buttercup10619 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK110_X19 )
                                      | ~ ( k04_buttercup10619 @ sK110_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK111_SY213 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK111_SY213 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK112_SY215 ) )
              | ~ ( b48_buttercup10111 @ sK112_SY215 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1018]) ).

thf(1052,plain,
    ! [SV97: $i] :
      ( ( ( ~ ( b48_buttercup10111 @ sK109_X25 )
          | ~ ~ ( k04_buttercup10619 @ sK109_X25 ) )
        = $false )
      | ( ( ~ ( ~ ( k04_buttercup10619 @ sK108_X23 )
              | ~ ~ ( b48_buttercup10111 @ sK108_X23 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                                      | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK107_SY212 ) )
              | ~ ( b48_buttercup10111 @ sK107_SY212 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1019]) ).

thf(1053,plain,
    ! [SV69: $i,SV99: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV99 ) )
        = $true )
      | ( ( b48_buttercup10102 @ SV99 )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10102 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK48_X63 )
                                      | ~ ( k04_buttercup10100 @ sK48_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK49_SY171 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK49_SY171 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK50_SY173 ) )
              | ~ ( b48_buttercup10102 @ sK50_SY173 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV69 )
        = $false )
      | ( ( b48_buttercup10102 @ SV69 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1020]) ).

thf(1054,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV100 ) )
        = $true )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( ~ ( ~ ( k04_buttercup10100 @ sK47_X67 )
              | ~ ~ ( b48_buttercup10102 @ sK47_X67 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK44_X63 )
                                      | ~ ( k04_buttercup10100 @ sK44_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK45_SY168 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK45_SY168 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK46_SY170 ) )
              | ~ ( b48_buttercup10102 @ sK46_SY170 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1021]) ).

thf(1055,plain,
    ! [SV71: $i] :
      ( ( ( ~ ( b48_buttercup10102 @ sK43_X69 ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10102 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK40_X63 )
                                      | ~ ( k04_buttercup10100 @ sK40_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK41_SY165 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK41_SY165 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK42_SY167 ) )
              | ~ ( b48_buttercup10102 @ sK42_SY167 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1022]) ).

thf(1056,plain,
    ! [SV71: $i] :
      ( ( ( ~ ~ ( k04_buttercup10100 @ sK43_X69 ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10102 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK40_X63 )
                                      | ~ ( k04_buttercup10100 @ sK40_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK41_SY165 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK41_SY165 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK42_SY167 ) )
              | ~ ( b48_buttercup10102 @ sK42_SY167 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1022]) ).

thf(1057,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( b48_buttercup10102 @ sK39_X69 ) )
        = $false )
      | ( ( ~ ( ~ ( k04_buttercup10100 @ sK38_X67 )
              | ~ ~ ( b48_buttercup10102 @ sK38_X67 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                                      | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK37_SY164 ) )
              | ~ ( b48_buttercup10102 @ sK37_SY164 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1023]) ).

thf(1058,plain,
    ! [SV72: $i] :
      ( ( ( ~ ~ ( k04_buttercup10100 @ sK39_X69 ) )
        = $false )
      | ( ( ~ ( ~ ( k04_buttercup10100 @ sK38_X67 )
              | ~ ~ ( b48_buttercup10102 @ sK38_X67 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                                      | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK37_SY164 ) )
              | ~ ( b48_buttercup10102 @ sK37_SY164 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1023]) ).

thf(1059,plain,
    ! [SV98: $i,SV73: $i,SV68: $i] :
      ( ( ( ~ ( b48_buttercup10098 @ SV68 ) )
        = $true )
      | ( ( ~ ( k04_buttercup10100 @ SV68 ) )
        = $true )
      | ( ( ~ ( k04_buttercup10100 @ SV73 ) )
        = $true )
      | ( ( b48_buttercup10098 @ SV73 )
        = $true )
      | ( ( k04_buttercup10100 @ SV98 )
        = $true )
      | ( ( ~ ( b48_buttercup10098 @ SV98 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1024]) ).

thf(1060,plain,
    ! [SV113: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV113 )
          | ( b48_buttercup10098 @ SV113 ) )
        = $true )
      | ( sK5_REN = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1025]) ).

thf(1061,plain,
    ( ( sK5_REN = $false )
    | ( ( ~ ( ~ ( b48_buttercup10098 @ sK2_X142 )
            | ~ ~ ( k04_buttercup10100 @ sK2_X142 ) ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1026]) ).

thf(1062,plain,
    ! [SV114: $i] :
      ( ( ( ~ ( b48_buttercup10098 @ SV114 )
          | ( k04_buttercup10100 @ SV114 ) )
        = $true )
      | ( sK4_REN = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1027]) ).

thf(1063,plain,
    ( ( sK4_REN = $false )
    | ( ( ~ ( ~ ( k04_buttercup10100 @ sK1_X144 )
            | ~ ~ ( b48_buttercup10098 @ sK1_X144 ) ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1028]) ).

thf(1064,plain,
    ! [SV74: $i,SV101: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ SV101 ) )
        = $true )
      | ( ( b48_buttercup10109 @ SV101 )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10109 @ SX0 )
              | ( k04_buttercup10619 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK101_X29 )
                                      | ~ ( k04_buttercup10619 @ sK101_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK102_SY207 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK102_SY207 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK103_SY209 ) )
              | ~ ( b48_buttercup10109 @ sK103_SY209 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV74 )
        = $false )
      | ( ( b48_buttercup10109 @ SV74 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1029]) ).

thf(1065,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ SV102 ) )
        = $true )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( ~ ( ~ ( k04_buttercup10619 @ sK100_X33 )
              | ~ ~ ( b48_buttercup10109 @ sK100_X33 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK97_X29 )
                                      | ~ ( k04_buttercup10619 @ sK97_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK98_SY204 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK98_SY204 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK99_SY206 ) )
              | ~ ( b48_buttercup10109 @ sK99_SY206 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1030]) ).

thf(1066,plain,
    ! [SV76: $i] :
      ( ( ( ~ ( b48_buttercup10109 @ sK96_X35 ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10109 @ SX0 )
              | ( k04_buttercup10619 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK93_X29 )
                                      | ~ ( k04_buttercup10619 @ sK93_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK94_SY201 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK94_SY201 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK95_SY203 ) )
              | ~ ( b48_buttercup10109 @ sK95_SY203 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1031]) ).

thf(1067,plain,
    ! [SV76: $i] :
      ( ( ( ~ ~ ( k04_buttercup10619 @ sK96_X35 ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10109 @ SX0 )
              | ( k04_buttercup10619 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK93_X29 )
                                      | ~ ( k04_buttercup10619 @ sK93_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK94_SY201 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK94_SY201 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK95_SY203 ) )
              | ~ ( b48_buttercup10109 @ sK95_SY203 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1031]) ).

thf(1068,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( b48_buttercup10109 @ sK92_X35 ) )
        = $false )
      | ( ( ~ ( ~ ( k04_buttercup10619 @ sK91_X33 )
              | ~ ~ ( b48_buttercup10109 @ sK91_X33 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                                      | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK90_SY200 ) )
              | ~ ( b48_buttercup10109 @ sK90_SY200 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1032]) ).

thf(1069,plain,
    ! [SV77: $i] :
      ( ( ( ~ ~ ( k04_buttercup10619 @ sK92_X35 ) )
        = $false )
      | ( ( ~ ( ~ ( k04_buttercup10619 @ sK91_X33 )
              | ~ ~ ( b48_buttercup10109 @ sK91_X33 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                                      | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK90_SY200 ) )
              | ~ ( b48_buttercup10109 @ sK90_SY200 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1032]) ).

thf(1070,plain,
    ! [SV78: $i,SV103: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV103 ) )
        = $true )
      | ( ( b48_buttercup10107 @ SV103 )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10107 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK31_X74 )
                                      | ~ ( k04_buttercup10100 @ sK31_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK32_SY159 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK32_SY159 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK33_SY161 ) )
              | ~ ( b48_buttercup10107 @ sK33_SY161 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV78 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1033]) ).

thf(1071,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV104 ) )
        = $true )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( ~ ( ~ ( k04_buttercup10100 @ sK30_X78 )
              | ~ ~ ( b48_buttercup10107 @ sK30_X78 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK27_X74 )
                                      | ~ ( k04_buttercup10100 @ sK27_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK28_SY156 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK28_SY156 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK29_SY158 ) )
              | ~ ( b48_buttercup10107 @ sK29_SY158 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1034]) ).

thf(1072,plain,
    ! [SV80: $i] :
      ( ( ( ~ ( b48_buttercup10107 @ sK26_X80 ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10107 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK23_X74 )
                                      | ~ ( k04_buttercup10100 @ sK23_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK24_SY153 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK24_SY153 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK25_SY155 ) )
              | ~ ( b48_buttercup10107 @ sK25_SY155 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1035]) ).

thf(1073,plain,
    ! [SV80: $i] :
      ( ( ( ~ ~ ( k04_buttercup10100 @ sK26_X80 ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10107 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK23_X74 )
                                      | ~ ( k04_buttercup10100 @ sK23_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK24_SY153 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK24_SY153 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK25_SY155 ) )
              | ~ ( b48_buttercup10107 @ sK25_SY155 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1035]) ).

thf(1074,plain,
    ! [SV81: $i] :
      ( ( ( ~ ( b48_buttercup10107 @ sK22_X80 ) )
        = $false )
      | ( ( ~ ( ~ ( k04_buttercup10100 @ sK21_X78 )
              | ~ ~ ( b48_buttercup10107 @ sK21_X78 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                                      | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK20_SY152 ) )
              | ~ ( b48_buttercup10107 @ sK20_SY152 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1036]) ).

thf(1075,plain,
    ! [SV81: $i] :
      ( ( ( ~ ~ ( k04_buttercup10100 @ sK22_X80 ) )
        = $false )
      | ( ( ~ ( ~ ( k04_buttercup10100 @ sK21_X78 )
              | ~ ~ ( b48_buttercup10107 @ sK21_X78 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                                      | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK20_SY152 ) )
              | ~ ( b48_buttercup10107 @ sK20_SY152 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1036]) ).

thf(1076,plain,
    ! [SV82: $i,SV105: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV105 ) )
        = $true )
      | ( ( b48_buttercup10104 @ SV105 )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10104 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK135_X9 )
                                      | ~ ( k04_buttercup10100 @ sK135_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK136_SY231 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK136_SY231 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK137_SY233 ) )
              | ~ ( b48_buttercup10104 @ sK137_SY233 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV82 )
        = $false )
      | ( ( b48_buttercup10104 @ SV82 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1037]) ).

thf(1077,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV106 ) )
        = $true )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( ~ ( ~ ( k04_buttercup10100 @ sK134_X13 )
              | ~ ~ ( b48_buttercup10104 @ sK134_X13 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK131_X9 )
                                      | ~ ( k04_buttercup10100 @ sK131_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK132_SY228 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK132_SY228 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK133_SY230 ) )
              | ~ ( b48_buttercup10104 @ sK133_SY230 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1038]) ).

thf(1078,plain,
    ! [SV84: $i] :
      ( ( ( ~ ( b48_buttercup10104 @ sK130_X15 ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10104 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK127_X9 )
                                      | ~ ( k04_buttercup10100 @ sK127_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK128_SY225 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK128_SY225 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK129_SY227 ) )
              | ~ ( b48_buttercup10104 @ sK129_SY227 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1039]) ).

thf(1079,plain,
    ! [SV84: $i] :
      ( ( ( ~ ~ ( k04_buttercup10100 @ sK130_X15 ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10104 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK127_X9 )
                                      | ~ ( k04_buttercup10100 @ sK127_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK128_SY225 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK128_SY225 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK129_SY227 ) )
              | ~ ( b48_buttercup10104 @ sK129_SY227 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1039]) ).

thf(1080,plain,
    ! [SV85: $i] :
      ( ( ( ~ ( b48_buttercup10104 @ sK126_X15 ) )
        = $false )
      | ( ( ~ ( ~ ( k04_buttercup10100 @ sK125_X13 )
              | ~ ~ ( b48_buttercup10104 @ sK125_X13 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                                      | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK124_SY224 ) )
              | ~ ( b48_buttercup10104 @ sK124_SY224 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1040]) ).

thf(1081,plain,
    ! [SV85: $i] :
      ( ( ( ~ ~ ( k04_buttercup10100 @ sK126_X15 ) )
        = $false )
      | ( ( ~ ( ~ ( k04_buttercup10100 @ sK125_X13 )
              | ~ ~ ( b48_buttercup10104 @ sK125_X13 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                                      | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK124_SY224 ) )
              | ~ ( b48_buttercup10104 @ sK124_SY224 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1040]) ).

thf(1082,plain,
    ! [SV86: $i,SV107: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV107 ) )
        = $true )
      | ( ( b48_buttercup10110 @ SV107 )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10110 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK68_X47 )
                                      | ~ ( k04_buttercup10100 @ sK68_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK69_SY183 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK69_SY183 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK70_SY185 ) )
              | ~ ( b48_buttercup10110 @ sK70_SY185 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV86 )
        = $false )
      | ( ( b48_buttercup10110 @ SV86 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1041]) ).

thf(1083,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV108 ) )
        = $true )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( ~ ( ~ ( k04_buttercup10100 @ sK67_X51 )
              | ~ ~ ( b48_buttercup10110 @ sK67_X51 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK64_X47 )
                                      | ~ ( k04_buttercup10100 @ sK64_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK65_SY180 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK65_SY180 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK66_SY182 ) )
              | ~ ( b48_buttercup10110 @ sK66_SY182 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1042]) ).

thf(1084,plain,
    ! [SV88: $i] :
      ( ( ( ~ ( b48_buttercup10110 @ sK63_X53 ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10110 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK60_X47 )
                                      | ~ ( k04_buttercup10100 @ sK60_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK61_SY177 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK61_SY177 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK62_SY179 ) )
              | ~ ( b48_buttercup10110 @ sK62_SY179 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1043]) ).

thf(1085,plain,
    ! [SV88: $i] :
      ( ( ( ~ ~ ( k04_buttercup10100 @ sK63_X53 ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10110 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK60_X47 )
                                      | ~ ( k04_buttercup10100 @ sK60_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK61_SY177 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK61_SY177 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK62_SY179 ) )
              | ~ ( b48_buttercup10110 @ sK62_SY179 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1043]) ).

thf(1086,plain,
    ! [SV89: $i] :
      ( ( ( ~ ( b48_buttercup10110 @ sK59_X53 ) )
        = $false )
      | ( ( ~ ( ~ ( k04_buttercup10100 @ sK58_X51 )
              | ~ ~ ( b48_buttercup10110 @ sK58_X51 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                                      | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK57_SY176 ) )
              | ~ ( b48_buttercup10110 @ sK57_SY176 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1044]) ).

thf(1087,plain,
    ! [SV89: $i] :
      ( ( ( ~ ~ ( k04_buttercup10100 @ sK59_X53 ) )
        = $false )
      | ( ( ~ ( ~ ( k04_buttercup10100 @ sK58_X51 )
              | ~ ~ ( b48_buttercup10110 @ sK58_X51 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                                      | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK57_SY176 ) )
              | ~ ( b48_buttercup10110 @ sK57_SY176 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1044]) ).

thf(1088,plain,
    ! [SV90: $i,SV109: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV109 ) )
        = $true )
      | ( ( b48_buttercup10108 @ SV109 )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10108 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK84_X39 )
                                      | ~ ( k04_buttercup10100 @ sK84_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK85_SY195 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK85_SY195 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK86_SY197 ) )
              | ~ ( b48_buttercup10108 @ sK86_SY197 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV90 )
        = $false )
      | ( ( b48_buttercup10108 @ SV90 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1045]) ).

thf(1089,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV110 ) )
        = $true )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( ~ ( ~ ( k04_buttercup10100 @ sK83_X43 )
              | ~ ~ ( b48_buttercup10108 @ sK83_X43 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK80_X39 )
                                      | ~ ( k04_buttercup10100 @ sK80_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK81_SY192 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK81_SY192 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK82_SY194 ) )
              | ~ ( b48_buttercup10108 @ sK82_SY194 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1046]) ).

thf(1090,plain,
    ! [SV92: $i] :
      ( ( ( ~ ( b48_buttercup10108 @ sK79_X45 ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10108 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK76_X39 )
                                      | ~ ( k04_buttercup10100 @ sK76_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK77_SY189 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK77_SY189 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK78_SY191 ) )
              | ~ ( b48_buttercup10108 @ sK78_SY191 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1047]) ).

thf(1091,plain,
    ! [SV92: $i] :
      ( ( ( ~ ~ ( k04_buttercup10100 @ sK79_X45 ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10108 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK76_X39 )
                                      | ~ ( k04_buttercup10100 @ sK76_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK77_SY189 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK77_SY189 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK78_SY191 ) )
              | ~ ( b48_buttercup10108 @ sK78_SY191 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1047]) ).

thf(1092,plain,
    ! [SV93: $i] :
      ( ( ( ~ ( b48_buttercup10108 @ sK75_X45 ) )
        = $false )
      | ( ( ~ ( ~ ( k04_buttercup10100 @ sK74_X43 )
              | ~ ~ ( b48_buttercup10108 @ sK74_X43 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                                      | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK73_SY188 ) )
              | ~ ( b48_buttercup10108 @ sK73_SY188 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1048]) ).

thf(1093,plain,
    ! [SV93: $i] :
      ( ( ( ~ ~ ( k04_buttercup10100 @ sK75_X45 ) )
        = $false )
      | ( ( ~ ( ~ ( k04_buttercup10100 @ sK74_X43 )
              | ~ ~ ( b48_buttercup10108 @ sK74_X43 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                                      | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK73_SY188 ) )
              | ~ ( b48_buttercup10108 @ sK73_SY188 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1048]) ).

thf(1094,plain,
    ! [SV94: $i,SV111: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ SV111 ) )
        = $true )
      | ( ( b48_buttercup10111 @ SV111 )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10111 @ SX0 )
              | ( k04_buttercup10619 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK118_X19 )
                                      | ~ ( k04_buttercup10619 @ sK118_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK119_SY219 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK119_SY219 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK120_SY221 ) )
              | ~ ( b48_buttercup10111 @ sK120_SY221 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV94 )
        = $false )
      | ( ( b48_buttercup10111 @ SV94 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1049]) ).

thf(1095,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ SV112 ) )
        = $true )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( ~ ( ~ ( k04_buttercup10619 @ sK117_X23 )
              | ~ ~ ( b48_buttercup10111 @ sK117_X23 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK114_X19 )
                                      | ~ ( k04_buttercup10619 @ sK114_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK115_SY216 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK115_SY216 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK116_SY218 ) )
              | ~ ( b48_buttercup10111 @ sK116_SY218 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1050]) ).

thf(1096,plain,
    ! [SV96: $i] :
      ( ( ( ~ ( b48_buttercup10111 @ sK113_X25 ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10111 @ SX0 )
              | ( k04_buttercup10619 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK110_X19 )
                                      | ~ ( k04_buttercup10619 @ sK110_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK111_SY213 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK111_SY213 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK112_SY215 ) )
              | ~ ( b48_buttercup10111 @ sK112_SY215 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1051]) ).

thf(1097,plain,
    ! [SV96: $i] :
      ( ( ( ~ ~ ( k04_buttercup10619 @ sK113_X25 ) )
        = $false )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10111 @ SX0 )
              | ( k04_buttercup10619 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK110_X19 )
                                      | ~ ( k04_buttercup10619 @ sK110_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK111_SY213 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK111_SY213 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK112_SY215 ) )
              | ~ ( b48_buttercup10111 @ sK112_SY215 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1051]) ).

thf(1098,plain,
    ! [SV97: $i] :
      ( ( ( ~ ( b48_buttercup10111 @ sK109_X25 ) )
        = $false )
      | ( ( ~ ( ~ ( k04_buttercup10619 @ sK108_X23 )
              | ~ ~ ( b48_buttercup10111 @ sK108_X23 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                                      | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK107_SY212 ) )
              | ~ ( b48_buttercup10111 @ sK107_SY212 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1052]) ).

thf(1099,plain,
    ! [SV97: $i] :
      ( ( ( ~ ~ ( k04_buttercup10619 @ sK109_X25 ) )
        = $false )
      | ( ( ~ ( ~ ( k04_buttercup10619 @ sK108_X23 )
              | ~ ~ ( b48_buttercup10111 @ sK108_X23 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                                      | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK107_SY212 ) )
              | ~ ( b48_buttercup10111 @ sK107_SY212 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1052]) ).

thf(1100,plain,
    ! [SV69: $i,SV99: $i] :
      ( ( ( k04_buttercup10100 @ SV99 )
        = $false )
      | ( ( b48_buttercup10102 @ SV99 )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10102 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK48_X63 )
                                      | ~ ( k04_buttercup10100 @ sK48_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK49_SY171 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK49_SY171 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK50_SY173 ) )
              | ~ ( b48_buttercup10102 @ sK50_SY173 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV69 )
        = $false )
      | ( ( b48_buttercup10102 @ SV69 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1053]) ).

thf(1101,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( ~ ( ~ ( k04_buttercup10100 @ sK47_X67 )
              | ~ ~ ( b48_buttercup10102 @ sK47_X67 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK44_X63 )
                                      | ~ ( k04_buttercup10100 @ sK44_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK45_SY168 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK45_SY168 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK46_SY170 ) )
              | ~ ( b48_buttercup10102 @ sK46_SY170 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1054]) ).

thf(1102,plain,
    ! [SV71: $i] :
      ( ( ( b48_buttercup10102 @ sK43_X69 )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10102 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK40_X63 )
                                      | ~ ( k04_buttercup10100 @ sK40_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK41_SY165 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK41_SY165 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK42_SY167 ) )
              | ~ ( b48_buttercup10102 @ sK42_SY167 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1055]) ).

thf(1103,plain,
    ! [SV71: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK43_X69 ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10102 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK40_X63 )
                                      | ~ ( k04_buttercup10100 @ sK40_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK41_SY165 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK41_SY165 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK42_SY167 ) )
              | ~ ( b48_buttercup10102 @ sK42_SY167 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1056]) ).

thf(1104,plain,
    ! [SV72: $i] :
      ( ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( ~ ( ~ ( k04_buttercup10100 @ sK38_X67 )
              | ~ ~ ( b48_buttercup10102 @ sK38_X67 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                                      | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK37_SY164 ) )
              | ~ ( b48_buttercup10102 @ sK37_SY164 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1057]) ).

thf(1105,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK39_X69 ) )
        = $true )
      | ( ( ~ ( ~ ( k04_buttercup10100 @ sK38_X67 )
              | ~ ~ ( b48_buttercup10102 @ sK38_X67 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                                      | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK37_SY164 ) )
              | ~ ( b48_buttercup10102 @ sK37_SY164 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1058]) ).

thf(1106,plain,
    ! [SV98: $i,SV73: $i,SV68: $i] :
      ( ( ( b48_buttercup10098 @ SV68 )
        = $false )
      | ( ( ~ ( k04_buttercup10100 @ SV68 ) )
        = $true )
      | ( ( ~ ( k04_buttercup10100 @ SV73 ) )
        = $true )
      | ( ( b48_buttercup10098 @ SV73 )
        = $true )
      | ( ( k04_buttercup10100 @ SV98 )
        = $true )
      | ( ( ~ ( b48_buttercup10098 @ SV98 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1059]) ).

thf(1107,plain,
    ! [SV113: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ SV113 ) )
        = $true )
      | ( ( b48_buttercup10098 @ SV113 )
        = $true )
      | ( sK5_REN = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1060]) ).

thf(1108,plain,
    ( ( ( ~ ( b48_buttercup10098 @ sK2_X142 )
        | ~ ~ ( k04_buttercup10100 @ sK2_X142 ) )
      = $false )
    | ( sK5_REN = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1061]) ).

thf(1109,plain,
    ! [SV114: $i] :
      ( ( ( ~ ( b48_buttercup10098 @ SV114 ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV114 )
        = $true )
      | ( sK4_REN = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1062]) ).

thf(1110,plain,
    ( ( ( ~ ( k04_buttercup10100 @ sK1_X144 )
        | ~ ~ ( b48_buttercup10098 @ sK1_X144 ) )
      = $false )
    | ( sK4_REN = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1063]) ).

thf(1111,plain,
    ! [SV74: $i,SV101: $i] :
      ( ( ( k04_buttercup10619 @ SV101 )
        = $false )
      | ( ( b48_buttercup10109 @ SV101 )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10109 @ SX0 )
              | ( k04_buttercup10619 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK101_X29 )
                                      | ~ ( k04_buttercup10619 @ sK101_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK102_SY207 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK102_SY207 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK103_SY209 ) )
              | ~ ( b48_buttercup10109 @ sK103_SY209 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV74 )
        = $false )
      | ( ( b48_buttercup10109 @ SV74 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1064]) ).

thf(1112,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( ~ ( ~ ( k04_buttercup10619 @ sK100_X33 )
              | ~ ~ ( b48_buttercup10109 @ sK100_X33 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK97_X29 )
                                      | ~ ( k04_buttercup10619 @ sK97_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK98_SY204 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK98_SY204 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK99_SY206 ) )
              | ~ ( b48_buttercup10109 @ sK99_SY206 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1065]) ).

thf(1113,plain,
    ! [SV76: $i] :
      ( ( ( b48_buttercup10109 @ sK96_X35 )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10109 @ SX0 )
              | ( k04_buttercup10619 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK93_X29 )
                                      | ~ ( k04_buttercup10619 @ sK93_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK94_SY201 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK94_SY201 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK95_SY203 ) )
              | ~ ( b48_buttercup10109 @ sK95_SY203 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1066]) ).

thf(1114,plain,
    ! [SV76: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK96_X35 ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10109 @ SX0 )
              | ( k04_buttercup10619 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK93_X29 )
                                      | ~ ( k04_buttercup10619 @ sK93_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK94_SY201 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK94_SY201 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK95_SY203 ) )
              | ~ ( b48_buttercup10109 @ sK95_SY203 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1067]) ).

thf(1115,plain,
    ! [SV77: $i] :
      ( ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( ~ ( ~ ( k04_buttercup10619 @ sK91_X33 )
              | ~ ~ ( b48_buttercup10109 @ sK91_X33 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                                      | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK90_SY200 ) )
              | ~ ( b48_buttercup10109 @ sK90_SY200 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1068]) ).

thf(1116,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK92_X35 ) )
        = $true )
      | ( ( ~ ( ~ ( k04_buttercup10619 @ sK91_X33 )
              | ~ ~ ( b48_buttercup10109 @ sK91_X33 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                                      | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK90_SY200 ) )
              | ~ ( b48_buttercup10109 @ sK90_SY200 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1069]) ).

thf(1117,plain,
    ! [SV78: $i,SV103: $i] :
      ( ( ( k04_buttercup10100 @ SV103 )
        = $false )
      | ( ( b48_buttercup10107 @ SV103 )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10107 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK31_X74 )
                                      | ~ ( k04_buttercup10100 @ sK31_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK32_SY159 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK32_SY159 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK33_SY161 ) )
              | ~ ( b48_buttercup10107 @ sK33_SY161 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV78 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1070]) ).

thf(1118,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( ~ ( ~ ( k04_buttercup10100 @ sK30_X78 )
              | ~ ~ ( b48_buttercup10107 @ sK30_X78 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK27_X74 )
                                      | ~ ( k04_buttercup10100 @ sK27_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK28_SY156 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK28_SY156 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK29_SY158 ) )
              | ~ ( b48_buttercup10107 @ sK29_SY158 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1071]) ).

thf(1119,plain,
    ! [SV80: $i] :
      ( ( ( b48_buttercup10107 @ sK26_X80 )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10107 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK23_X74 )
                                      | ~ ( k04_buttercup10100 @ sK23_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK24_SY153 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK24_SY153 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK25_SY155 ) )
              | ~ ( b48_buttercup10107 @ sK25_SY155 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1072]) ).

thf(1120,plain,
    ! [SV80: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK26_X80 ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10107 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK23_X74 )
                                      | ~ ( k04_buttercup10100 @ sK23_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK24_SY153 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK24_SY153 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK25_SY155 ) )
              | ~ ( b48_buttercup10107 @ sK25_SY155 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1073]) ).

thf(1121,plain,
    ! [SV81: $i] :
      ( ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( ~ ( ~ ( k04_buttercup10100 @ sK21_X78 )
              | ~ ~ ( b48_buttercup10107 @ sK21_X78 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                                      | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK20_SY152 ) )
              | ~ ( b48_buttercup10107 @ sK20_SY152 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1074]) ).

thf(1122,plain,
    ! [SV81: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK22_X80 ) )
        = $true )
      | ( ( ~ ( ~ ( k04_buttercup10100 @ sK21_X78 )
              | ~ ~ ( b48_buttercup10107 @ sK21_X78 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                                      | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK20_SY152 ) )
              | ~ ( b48_buttercup10107 @ sK20_SY152 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1075]) ).

thf(1123,plain,
    ! [SV82: $i,SV105: $i] :
      ( ( ( k04_buttercup10100 @ SV105 )
        = $false )
      | ( ( b48_buttercup10104 @ SV105 )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10104 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK135_X9 )
                                      | ~ ( k04_buttercup10100 @ sK135_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK136_SY231 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK136_SY231 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK137_SY233 ) )
              | ~ ( b48_buttercup10104 @ sK137_SY233 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV82 )
        = $false )
      | ( ( b48_buttercup10104 @ SV82 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1076]) ).

thf(1124,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( ~ ( ~ ( k04_buttercup10100 @ sK134_X13 )
              | ~ ~ ( b48_buttercup10104 @ sK134_X13 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK131_X9 )
                                      | ~ ( k04_buttercup10100 @ sK131_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK132_SY228 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK132_SY228 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK133_SY230 ) )
              | ~ ( b48_buttercup10104 @ sK133_SY230 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1077]) ).

thf(1125,plain,
    ! [SV84: $i] :
      ( ( ( b48_buttercup10104 @ sK130_X15 )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10104 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK127_X9 )
                                      | ~ ( k04_buttercup10100 @ sK127_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK128_SY225 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK128_SY225 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK129_SY227 ) )
              | ~ ( b48_buttercup10104 @ sK129_SY227 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1078]) ).

thf(1126,plain,
    ! [SV84: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK130_X15 ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10104 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK127_X9 )
                                      | ~ ( k04_buttercup10100 @ sK127_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK128_SY225 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK128_SY225 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK129_SY227 ) )
              | ~ ( b48_buttercup10104 @ sK129_SY227 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1079]) ).

thf(1127,plain,
    ! [SV85: $i] :
      ( ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( ~ ( ~ ( k04_buttercup10100 @ sK125_X13 )
              | ~ ~ ( b48_buttercup10104 @ sK125_X13 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                                      | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK124_SY224 ) )
              | ~ ( b48_buttercup10104 @ sK124_SY224 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1080]) ).

thf(1128,plain,
    ! [SV85: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK126_X15 ) )
        = $true )
      | ( ( ~ ( ~ ( k04_buttercup10100 @ sK125_X13 )
              | ~ ~ ( b48_buttercup10104 @ sK125_X13 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                                      | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK124_SY224 ) )
              | ~ ( b48_buttercup10104 @ sK124_SY224 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1081]) ).

thf(1129,plain,
    ! [SV86: $i,SV107: $i] :
      ( ( ( k04_buttercup10100 @ SV107 )
        = $false )
      | ( ( b48_buttercup10110 @ SV107 )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10110 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK68_X47 )
                                      | ~ ( k04_buttercup10100 @ sK68_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK69_SY183 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK69_SY183 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK70_SY185 ) )
              | ~ ( b48_buttercup10110 @ sK70_SY185 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV86 )
        = $false )
      | ( ( b48_buttercup10110 @ SV86 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1082]) ).

thf(1130,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( ~ ( ~ ( k04_buttercup10100 @ sK67_X51 )
              | ~ ~ ( b48_buttercup10110 @ sK67_X51 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK64_X47 )
                                      | ~ ( k04_buttercup10100 @ sK64_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK65_SY180 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK65_SY180 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK66_SY182 ) )
              | ~ ( b48_buttercup10110 @ sK66_SY182 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1083]) ).

thf(1131,plain,
    ! [SV88: $i] :
      ( ( ( b48_buttercup10110 @ sK63_X53 )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10110 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK60_X47 )
                                      | ~ ( k04_buttercup10100 @ sK60_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK61_SY177 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK61_SY177 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK62_SY179 ) )
              | ~ ( b48_buttercup10110 @ sK62_SY179 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1084]) ).

thf(1132,plain,
    ! [SV88: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK63_X53 ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10110 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK60_X47 )
                                      | ~ ( k04_buttercup10100 @ sK60_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK61_SY177 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK61_SY177 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK62_SY179 ) )
              | ~ ( b48_buttercup10110 @ sK62_SY179 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1085]) ).

thf(1133,plain,
    ! [SV89: $i] :
      ( ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( ~ ( ~ ( k04_buttercup10100 @ sK58_X51 )
              | ~ ~ ( b48_buttercup10110 @ sK58_X51 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                                      | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK57_SY176 ) )
              | ~ ( b48_buttercup10110 @ sK57_SY176 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1086]) ).

thf(1134,plain,
    ! [SV89: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK59_X53 ) )
        = $true )
      | ( ( ~ ( ~ ( k04_buttercup10100 @ sK58_X51 )
              | ~ ~ ( b48_buttercup10110 @ sK58_X51 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                                      | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK57_SY176 ) )
              | ~ ( b48_buttercup10110 @ sK57_SY176 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1087]) ).

thf(1135,plain,
    ! [SV90: $i,SV109: $i] :
      ( ( ( k04_buttercup10100 @ SV109 )
        = $false )
      | ( ( b48_buttercup10108 @ SV109 )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10108 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK84_X39 )
                                      | ~ ( k04_buttercup10100 @ sK84_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK85_SY195 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK85_SY195 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK86_SY197 ) )
              | ~ ( b48_buttercup10108 @ sK86_SY197 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV90 )
        = $false )
      | ( ( b48_buttercup10108 @ SV90 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1088]) ).

thf(1136,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( ~ ( ~ ( k04_buttercup10100 @ sK83_X43 )
              | ~ ~ ( b48_buttercup10108 @ sK83_X43 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK80_X39 )
                                      | ~ ( k04_buttercup10100 @ sK80_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK81_SY192 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK81_SY192 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK82_SY194 ) )
              | ~ ( b48_buttercup10108 @ sK82_SY194 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1089]) ).

thf(1137,plain,
    ! [SV92: $i] :
      ( ( ( b48_buttercup10108 @ sK79_X45 )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10108 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK76_X39 )
                                      | ~ ( k04_buttercup10100 @ sK76_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK77_SY189 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK77_SY189 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK78_SY191 ) )
              | ~ ( b48_buttercup10108 @ sK78_SY191 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1090]) ).

thf(1138,plain,
    ! [SV92: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK79_X45 ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10108 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK76_X39 )
                                      | ~ ( k04_buttercup10100 @ sK76_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK77_SY189 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK77_SY189 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK78_SY191 ) )
              | ~ ( b48_buttercup10108 @ sK78_SY191 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1091]) ).

thf(1139,plain,
    ! [SV93: $i] :
      ( ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( ~ ( ~ ( k04_buttercup10100 @ sK74_X43 )
              | ~ ~ ( b48_buttercup10108 @ sK74_X43 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                                      | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK73_SY188 ) )
              | ~ ( b48_buttercup10108 @ sK73_SY188 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1092]) ).

thf(1140,plain,
    ! [SV93: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK75_X45 ) )
        = $true )
      | ( ( ~ ( ~ ( k04_buttercup10100 @ sK74_X43 )
              | ~ ~ ( b48_buttercup10108 @ sK74_X43 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                                      | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK73_SY188 ) )
              | ~ ( b48_buttercup10108 @ sK73_SY188 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1093]) ).

thf(1141,plain,
    ! [SV94: $i,SV111: $i] :
      ( ( ( k04_buttercup10619 @ SV111 )
        = $false )
      | ( ( b48_buttercup10111 @ SV111 )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10111 @ SX0 )
              | ( k04_buttercup10619 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK118_X19 )
                                      | ~ ( k04_buttercup10619 @ sK118_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK119_SY219 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK119_SY219 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK120_SY221 ) )
              | ~ ( b48_buttercup10111 @ sK120_SY221 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV94 )
        = $false )
      | ( ( b48_buttercup10111 @ SV94 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1094]) ).

thf(1142,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( ~ ( ~ ( k04_buttercup10619 @ sK117_X23 )
              | ~ ~ ( b48_buttercup10111 @ sK117_X23 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK114_X19 )
                                      | ~ ( k04_buttercup10619 @ sK114_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK115_SY216 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK115_SY216 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK116_SY218 ) )
              | ~ ( b48_buttercup10111 @ sK116_SY218 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1095]) ).

thf(1143,plain,
    ! [SV96: $i] :
      ( ( ( b48_buttercup10111 @ sK113_X25 )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10111 @ SX0 )
              | ( k04_buttercup10619 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK110_X19 )
                                      | ~ ( k04_buttercup10619 @ sK110_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK111_SY213 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK111_SY213 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK112_SY215 ) )
              | ~ ( b48_buttercup10111 @ sK112_SY215 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1096]) ).

thf(1144,plain,
    ! [SV96: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK113_X25 ) )
        = $true )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10111 @ SX0 )
              | ( k04_buttercup10619 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK110_X19 )
                                      | ~ ( k04_buttercup10619 @ sK110_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK111_SY213 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK111_SY213 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK112_SY215 ) )
              | ~ ( b48_buttercup10111 @ sK112_SY215 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1097]) ).

thf(1145,plain,
    ! [SV97: $i] :
      ( ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( ~ ( ~ ( k04_buttercup10619 @ sK108_X23 )
              | ~ ~ ( b48_buttercup10111 @ sK108_X23 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                                      | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK107_SY212 ) )
              | ~ ( b48_buttercup10111 @ sK107_SY212 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1098]) ).

thf(1146,plain,
    ! [SV97: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK109_X25 ) )
        = $true )
      | ( ( ~ ( ~ ( k04_buttercup10619 @ sK108_X23 )
              | ~ ~ ( b48_buttercup10111 @ sK108_X23 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                                      | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK107_SY212 ) )
              | ~ ( b48_buttercup10111 @ sK107_SY212 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1099]) ).

thf(1147,plain,
    ! [SV69: $i,SV99: $i] :
      ( ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10102 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK48_X63 )
                                      | ~ ( k04_buttercup10100 @ sK48_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK49_SY171 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK49_SY171 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK50_SY173 ) )
              | ~ ( b48_buttercup10102 @ sK50_SY173 ) ) )
        = $true )
      | ( ( b48_buttercup10102 @ SV99 )
        = $true )
      | ( ( k04_buttercup10100 @ SV99 )
        = $false )
      | ( ( k04_buttercup10100 @ SV69 )
        = $false )
      | ( ( b48_buttercup10102 @ SV69 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1100]) ).

thf(1148,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( ~ ( ~ ( k04_buttercup10100 @ sK47_X67 )
              | ~ ~ ( b48_buttercup10102 @ sK47_X67 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK44_X63 )
                                      | ~ ( k04_buttercup10100 @ sK44_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK45_SY168 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK45_SY168 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK46_SY170 ) )
              | ~ ( b48_buttercup10102 @ sK46_SY170 ) ) )
        = $true )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1101]) ).

thf(1149,plain,
    ! [SV71: $i] :
      ( ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10102 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK40_X63 )
                                      | ~ ( k04_buttercup10100 @ sK40_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK41_SY165 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK41_SY165 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK42_SY167 ) )
              | ~ ( b48_buttercup10102 @ sK42_SY167 ) ) )
        = $true )
      | ( ( b48_buttercup10102 @ sK43_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1102]) ).

thf(1150,plain,
    ! [SV71: $i] :
      ( ( ( k04_buttercup10100 @ sK43_X69 )
        = $false )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10102 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK40_X63 )
                                      | ~ ( k04_buttercup10100 @ sK40_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK41_SY165 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK41_SY165 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK42_SY167 ) )
              | ~ ( b48_buttercup10102 @ sK42_SY167 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1103]) ).

thf(1151,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( ~ ( k04_buttercup10100 @ sK38_X67 )
              | ~ ~ ( b48_buttercup10102 @ sK38_X67 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                                      | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK37_SY164 ) )
              | ~ ( b48_buttercup10102 @ sK37_SY164 ) ) )
        = $true )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1104]) ).

thf(1152,plain,
    ! [SV72: $i] :
      ( ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( ~ ( ~ ( k04_buttercup10100 @ sK38_X67 )
              | ~ ~ ( b48_buttercup10102 @ sK38_X67 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                                      | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK37_SY164 ) )
              | ~ ( b48_buttercup10102 @ sK37_SY164 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1105]) ).

thf(1153,plain,
    ! [SV98: $i,SV73: $i,SV68: $i] :
      ( ( ( k04_buttercup10100 @ SV68 )
        = $false )
      | ( ( b48_buttercup10098 @ SV68 )
        = $false )
      | ( ( ~ ( k04_buttercup10100 @ SV73 ) )
        = $true )
      | ( ( b48_buttercup10098 @ SV73 )
        = $true )
      | ( ( k04_buttercup10100 @ SV98 )
        = $true )
      | ( ( ~ ( b48_buttercup10098 @ SV98 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1106]) ).

thf(1154,plain,
    ! [SV113: $i] :
      ( ( ( k04_buttercup10100 @ SV113 )
        = $false )
      | ( ( b48_buttercup10098 @ SV113 )
        = $true )
      | ( sK5_REN = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1107]) ).

thf(1155,plain,
    ( ( ( ~ ( b48_buttercup10098 @ sK2_X142 ) )
      = $false )
    | ( sK5_REN = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1108]) ).

thf(1156,plain,
    ( ( ( ~ ~ ( k04_buttercup10100 @ sK2_X142 ) )
      = $false )
    | ( sK5_REN = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1108]) ).

thf(1157,plain,
    ! [SV114: $i] :
      ( ( ( b48_buttercup10098 @ SV114 )
        = $false )
      | ( ( k04_buttercup10100 @ SV114 )
        = $true )
      | ( sK4_REN = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1109]) ).

thf(1158,plain,
    ( ( ( ~ ( k04_buttercup10100 @ sK1_X144 ) )
      = $false )
    | ( sK4_REN = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1110]) ).

thf(1159,plain,
    ( ( ( ~ ~ ( b48_buttercup10098 @ sK1_X144 ) )
      = $false )
    | ( sK4_REN = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1110]) ).

thf(1160,plain,
    ! [SV74: $i,SV101: $i] :
      ( ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10109 @ SX0 )
              | ( k04_buttercup10619 @ SX0 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK101_X29 )
                                      | ~ ( k04_buttercup10619 @ sK101_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK102_SY207 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK102_SY207 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK103_SY209 ) )
              | ~ ( b48_buttercup10109 @ sK103_SY209 ) ) )
        = $true )
      | ( ( b48_buttercup10109 @ SV101 )
        = $true )
      | ( ( k04_buttercup10619 @ SV101 )
        = $false )
      | ( ( k04_buttercup10619 @ SV74 )
        = $false )
      | ( ( b48_buttercup10109 @ SV74 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1111]) ).

thf(1161,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( ~ ( ~ ( k04_buttercup10619 @ sK100_X33 )
              | ~ ~ ( b48_buttercup10109 @ sK100_X33 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK97_X29 )
                                      | ~ ( k04_buttercup10619 @ sK97_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK98_SY204 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK98_SY204 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK99_SY206 ) )
              | ~ ( b48_buttercup10109 @ sK99_SY206 ) ) )
        = $true )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1112]) ).

thf(1162,plain,
    ! [SV76: $i] :
      ( ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10109 @ SX0 )
              | ( k04_buttercup10619 @ SX0 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK93_X29 )
                                      | ~ ( k04_buttercup10619 @ sK93_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK94_SY201 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK94_SY201 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK95_SY203 ) )
              | ~ ( b48_buttercup10109 @ sK95_SY203 ) ) )
        = $true )
      | ( ( b48_buttercup10109 @ sK96_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1113]) ).

thf(1163,plain,
    ! [SV76: $i] :
      ( ( ( k04_buttercup10619 @ sK96_X35 )
        = $false )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10109 @ SX0 )
              | ( k04_buttercup10619 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK93_X29 )
                                      | ~ ( k04_buttercup10619 @ sK93_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK94_SY201 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK94_SY201 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK95_SY203 ) )
              | ~ ( b48_buttercup10109 @ sK95_SY203 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1114]) ).

thf(1164,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( ~ ( k04_buttercup10619 @ sK91_X33 )
              | ~ ~ ( b48_buttercup10109 @ sK91_X33 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                                      | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK90_SY200 ) )
              | ~ ( b48_buttercup10109 @ sK90_SY200 ) ) )
        = $true )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1115]) ).

thf(1165,plain,
    ! [SV77: $i] :
      ( ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( ~ ( ~ ( k04_buttercup10619 @ sK91_X33 )
              | ~ ~ ( b48_buttercup10109 @ sK91_X33 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                                      | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK90_SY200 ) )
              | ~ ( b48_buttercup10109 @ sK90_SY200 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1116]) ).

thf(1166,plain,
    ! [SV78: $i,SV103: $i] :
      ( ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10107 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK31_X74 )
                                      | ~ ( k04_buttercup10100 @ sK31_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK32_SY159 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK32_SY159 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK33_SY161 ) )
              | ~ ( b48_buttercup10107 @ sK33_SY161 ) ) )
        = $true )
      | ( ( b48_buttercup10107 @ SV103 )
        = $true )
      | ( ( k04_buttercup10100 @ SV103 )
        = $false )
      | ( ( k04_buttercup10100 @ SV78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV78 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1117]) ).

thf(1167,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( ~ ( ~ ( k04_buttercup10100 @ sK30_X78 )
              | ~ ~ ( b48_buttercup10107 @ sK30_X78 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK27_X74 )
                                      | ~ ( k04_buttercup10100 @ sK27_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK28_SY156 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK28_SY156 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK29_SY158 ) )
              | ~ ( b48_buttercup10107 @ sK29_SY158 ) ) )
        = $true )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1118]) ).

thf(1168,plain,
    ! [SV80: $i] :
      ( ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10107 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK23_X74 )
                                      | ~ ( k04_buttercup10100 @ sK23_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK24_SY153 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK24_SY153 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK25_SY155 ) )
              | ~ ( b48_buttercup10107 @ sK25_SY155 ) ) )
        = $true )
      | ( ( b48_buttercup10107 @ sK26_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1119]) ).

thf(1169,plain,
    ! [SV80: $i] :
      ( ( ( k04_buttercup10100 @ sK26_X80 )
        = $false )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10107 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK23_X74 )
                                      | ~ ( k04_buttercup10100 @ sK23_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK24_SY153 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK24_SY153 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK25_SY155 ) )
              | ~ ( b48_buttercup10107 @ sK25_SY155 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1120]) ).

thf(1170,plain,
    ! [SV81: $i] :
      ( ( ( ~ ( ~ ( k04_buttercup10100 @ sK21_X78 )
              | ~ ~ ( b48_buttercup10107 @ sK21_X78 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                                      | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK20_SY152 ) )
              | ~ ( b48_buttercup10107 @ sK20_SY152 ) ) )
        = $true )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1121]) ).

thf(1171,plain,
    ! [SV81: $i] :
      ( ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( ~ ( ~ ( k04_buttercup10100 @ sK21_X78 )
              | ~ ~ ( b48_buttercup10107 @ sK21_X78 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                                      | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK20_SY152 ) )
              | ~ ( b48_buttercup10107 @ sK20_SY152 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1122]) ).

thf(1172,plain,
    ! [SV82: $i,SV105: $i] :
      ( ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10104 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK135_X9 )
                                      | ~ ( k04_buttercup10100 @ sK135_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK136_SY231 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK136_SY231 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK137_SY233 ) )
              | ~ ( b48_buttercup10104 @ sK137_SY233 ) ) )
        = $true )
      | ( ( b48_buttercup10104 @ SV105 )
        = $true )
      | ( ( k04_buttercup10100 @ SV105 )
        = $false )
      | ( ( k04_buttercup10100 @ SV82 )
        = $false )
      | ( ( b48_buttercup10104 @ SV82 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1123]) ).

thf(1173,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( ~ ( ~ ( k04_buttercup10100 @ sK134_X13 )
              | ~ ~ ( b48_buttercup10104 @ sK134_X13 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK131_X9 )
                                      | ~ ( k04_buttercup10100 @ sK131_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK132_SY228 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK132_SY228 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK133_SY230 ) )
              | ~ ( b48_buttercup10104 @ sK133_SY230 ) ) )
        = $true )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1124]) ).

thf(1174,plain,
    ! [SV84: $i] :
      ( ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10104 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK127_X9 )
                                      | ~ ( k04_buttercup10100 @ sK127_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK128_SY225 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK128_SY225 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK129_SY227 ) )
              | ~ ( b48_buttercup10104 @ sK129_SY227 ) ) )
        = $true )
      | ( ( b48_buttercup10104 @ sK130_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1125]) ).

thf(1175,plain,
    ! [SV84: $i] :
      ( ( ( k04_buttercup10100 @ sK130_X15 )
        = $false )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10104 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK127_X9 )
                                      | ~ ( k04_buttercup10100 @ sK127_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK128_SY225 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK128_SY225 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK129_SY227 ) )
              | ~ ( b48_buttercup10104 @ sK129_SY227 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1126]) ).

thf(1176,plain,
    ! [SV85: $i] :
      ( ( ( ~ ( ~ ( k04_buttercup10100 @ sK125_X13 )
              | ~ ~ ( b48_buttercup10104 @ sK125_X13 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                                      | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK124_SY224 ) )
              | ~ ( b48_buttercup10104 @ sK124_SY224 ) ) )
        = $true )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1127]) ).

thf(1177,plain,
    ! [SV85: $i] :
      ( ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( ~ ( ~ ( k04_buttercup10100 @ sK125_X13 )
              | ~ ~ ( b48_buttercup10104 @ sK125_X13 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                                      | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK124_SY224 ) )
              | ~ ( b48_buttercup10104 @ sK124_SY224 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1128]) ).

thf(1178,plain,
    ! [SV86: $i,SV107: $i] :
      ( ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10110 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK68_X47 )
                                      | ~ ( k04_buttercup10100 @ sK68_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK69_SY183 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK69_SY183 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK70_SY185 ) )
              | ~ ( b48_buttercup10110 @ sK70_SY185 ) ) )
        = $true )
      | ( ( b48_buttercup10110 @ SV107 )
        = $true )
      | ( ( k04_buttercup10100 @ SV107 )
        = $false )
      | ( ( k04_buttercup10100 @ SV86 )
        = $false )
      | ( ( b48_buttercup10110 @ SV86 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1129]) ).

thf(1179,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( ~ ( ~ ( k04_buttercup10100 @ sK67_X51 )
              | ~ ~ ( b48_buttercup10110 @ sK67_X51 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK64_X47 )
                                      | ~ ( k04_buttercup10100 @ sK64_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK65_SY180 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK65_SY180 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK66_SY182 ) )
              | ~ ( b48_buttercup10110 @ sK66_SY182 ) ) )
        = $true )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1130]) ).

thf(1180,plain,
    ! [SV88: $i] :
      ( ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10110 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK60_X47 )
                                      | ~ ( k04_buttercup10100 @ sK60_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK61_SY177 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK61_SY177 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK62_SY179 ) )
              | ~ ( b48_buttercup10110 @ sK62_SY179 ) ) )
        = $true )
      | ( ( b48_buttercup10110 @ sK63_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1131]) ).

thf(1181,plain,
    ! [SV88: $i] :
      ( ( ( k04_buttercup10100 @ sK63_X53 )
        = $false )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10110 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK60_X47 )
                                      | ~ ( k04_buttercup10100 @ sK60_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK61_SY177 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK61_SY177 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK62_SY179 ) )
              | ~ ( b48_buttercup10110 @ sK62_SY179 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1132]) ).

thf(1182,plain,
    ! [SV89: $i] :
      ( ( ( ~ ( ~ ( k04_buttercup10100 @ sK58_X51 )
              | ~ ~ ( b48_buttercup10110 @ sK58_X51 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                                      | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK57_SY176 ) )
              | ~ ( b48_buttercup10110 @ sK57_SY176 ) ) )
        = $true )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1133]) ).

thf(1183,plain,
    ! [SV89: $i] :
      ( ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( ~ ( ~ ( k04_buttercup10100 @ sK58_X51 )
              | ~ ~ ( b48_buttercup10110 @ sK58_X51 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                                      | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK57_SY176 ) )
              | ~ ( b48_buttercup10110 @ sK57_SY176 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1134]) ).

thf(1184,plain,
    ! [SV90: $i,SV109: $i] :
      ( ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10108 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK84_X39 )
                                      | ~ ( k04_buttercup10100 @ sK84_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK85_SY195 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK85_SY195 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK86_SY197 ) )
              | ~ ( b48_buttercup10108 @ sK86_SY197 ) ) )
        = $true )
      | ( ( b48_buttercup10108 @ SV109 )
        = $true )
      | ( ( k04_buttercup10100 @ SV109 )
        = $false )
      | ( ( k04_buttercup10100 @ SV90 )
        = $false )
      | ( ( b48_buttercup10108 @ SV90 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1135]) ).

thf(1185,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( ~ ( ~ ( k04_buttercup10100 @ sK83_X43 )
              | ~ ~ ( b48_buttercup10108 @ sK83_X43 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK80_X39 )
                                      | ~ ( k04_buttercup10100 @ sK80_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK81_SY192 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK81_SY192 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK82_SY194 ) )
              | ~ ( b48_buttercup10108 @ sK82_SY194 ) ) )
        = $true )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1136]) ).

thf(1186,plain,
    ! [SV92: $i] :
      ( ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10108 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK76_X39 )
                                      | ~ ( k04_buttercup10100 @ sK76_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK77_SY189 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK77_SY189 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK78_SY191 ) )
              | ~ ( b48_buttercup10108 @ sK78_SY191 ) ) )
        = $true )
      | ( ( b48_buttercup10108 @ sK79_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1137]) ).

thf(1187,plain,
    ! [SV92: $i] :
      ( ( ( k04_buttercup10100 @ sK79_X45 )
        = $false )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10108 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK76_X39 )
                                      | ~ ( k04_buttercup10100 @ sK76_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK77_SY189 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK77_SY189 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK78_SY191 ) )
              | ~ ( b48_buttercup10108 @ sK78_SY191 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1138]) ).

thf(1188,plain,
    ! [SV93: $i] :
      ( ( ( ~ ( ~ ( k04_buttercup10100 @ sK74_X43 )
              | ~ ~ ( b48_buttercup10108 @ sK74_X43 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                                      | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK73_SY188 ) )
              | ~ ( b48_buttercup10108 @ sK73_SY188 ) ) )
        = $true )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1139]) ).

thf(1189,plain,
    ! [SV93: $i] :
      ( ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( ~ ( ~ ( k04_buttercup10100 @ sK74_X43 )
              | ~ ~ ( b48_buttercup10108 @ sK74_X43 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                                      | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK73_SY188 ) )
              | ~ ( b48_buttercup10108 @ sK73_SY188 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1140]) ).

thf(1190,plain,
    ! [SV94: $i,SV111: $i] :
      ( ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10111 @ SX0 )
              | ( k04_buttercup10619 @ SX0 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK118_X19 )
                                      | ~ ( k04_buttercup10619 @ sK118_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK119_SY219 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK119_SY219 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK120_SY221 ) )
              | ~ ( b48_buttercup10111 @ sK120_SY221 ) ) )
        = $true )
      | ( ( b48_buttercup10111 @ SV111 )
        = $true )
      | ( ( k04_buttercup10619 @ SV111 )
        = $false )
      | ( ( k04_buttercup10619 @ SV94 )
        = $false )
      | ( ( b48_buttercup10111 @ SV94 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1141]) ).

thf(1191,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( ~ ( ~ ( k04_buttercup10619 @ sK117_X23 )
              | ~ ~ ( b48_buttercup10111 @ sK117_X23 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK114_X19 )
                                      | ~ ( k04_buttercup10619 @ sK114_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK115_SY216 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK115_SY216 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK116_SY218 ) )
              | ~ ( b48_buttercup10111 @ sK116_SY218 ) ) )
        = $true )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1142]) ).

thf(1192,plain,
    ! [SV96: $i] :
      ( ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10111 @ SX0 )
              | ( k04_buttercup10619 @ SX0 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK110_X19 )
                                      | ~ ( k04_buttercup10619 @ sK110_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK111_SY213 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK111_SY213 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK112_SY215 ) )
              | ~ ( b48_buttercup10111 @ sK112_SY215 ) ) )
        = $true )
      | ( ( b48_buttercup10111 @ sK113_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1143]) ).

thf(1193,plain,
    ! [SV96: $i] :
      ( ( ( k04_buttercup10619 @ sK113_X25 )
        = $false )
      | ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10111 @ SX0 )
              | ( k04_buttercup10619 @ SX0 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK110_X19 )
                                      | ~ ( k04_buttercup10619 @ sK110_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK111_SY213 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK111_SY213 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK112_SY215 ) )
              | ~ ( b48_buttercup10111 @ sK112_SY215 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1144]) ).

thf(1194,plain,
    ! [SV97: $i] :
      ( ( ( ~ ( ~ ( k04_buttercup10619 @ sK108_X23 )
              | ~ ~ ( b48_buttercup10111 @ sK108_X23 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                                      | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK107_SY212 ) )
              | ~ ( b48_buttercup10111 @ sK107_SY212 ) ) )
        = $true )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1145]) ).

thf(1195,plain,
    ! [SV97: $i] :
      ( ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( ~ ( ~ ( k04_buttercup10619 @ sK108_X23 )
              | ~ ~ ( b48_buttercup10111 @ sK108_X23 ) )
          | ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                                      | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK107_SY212 ) )
              | ~ ( b48_buttercup10111 @ sK107_SY212 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1146]) ).

thf(1196,plain,
    ! [SV69: $i,SV99: $i,SV115: $i] :
      ( ( ( ~ ( b48_buttercup10102 @ SV115 )
          | ( k04_buttercup10100 @ SV115 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK48_X63 )
                                      | ~ ( k04_buttercup10100 @ sK48_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK49_SY171 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK49_SY171 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK50_SY173 ) )
              | ~ ( b48_buttercup10102 @ sK50_SY173 ) ) )
        = $true )
      | ( ( b48_buttercup10102 @ SV99 )
        = $true )
      | ( ( k04_buttercup10100 @ SV99 )
        = $false )
      | ( ( k04_buttercup10100 @ SV69 )
        = $false )
      | ( ( b48_buttercup10102 @ SV69 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1147]) ).

thf(1197,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK47_X67 )
          | ~ ~ ( b48_buttercup10102 @ sK47_X67 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK44_X63 )
                                      | ~ ( k04_buttercup10100 @ sK44_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK45_SY168 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK45_SY168 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK46_SY170 ) )
              | ~ ( b48_buttercup10102 @ sK46_SY170 ) ) )
        = $true )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1148]) ).

thf(1198,plain,
    ! [SV71: $i,SV116: $i] :
      ( ( ( ~ ( b48_buttercup10102 @ SV116 )
          | ( k04_buttercup10100 @ SV116 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK40_X63 )
                                      | ~ ( k04_buttercup10100 @ sK40_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK41_SY165 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK41_SY165 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK42_SY167 ) )
              | ~ ( b48_buttercup10102 @ sK42_SY167 ) ) )
        = $true )
      | ( ( b48_buttercup10102 @ sK43_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1149]) ).

thf(1199,plain,
    ! [SV71: $i] :
      ( ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10102 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK40_X63 )
                                      | ~ ( k04_buttercup10100 @ sK40_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK41_SY165 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK41_SY165 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK42_SY167 ) )
              | ~ ( b48_buttercup10102 @ sK42_SY167 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK43_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1150]) ).

thf(1200,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK38_X67 )
          | ~ ~ ( b48_buttercup10102 @ sK38_X67 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                                      | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK37_SY164 ) )
              | ~ ( b48_buttercup10102 @ sK37_SY164 ) ) )
        = $true )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1151]) ).

thf(1201,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( ~ ( k04_buttercup10100 @ sK38_X67 )
              | ~ ~ ( b48_buttercup10102 @ sK38_X67 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                                      | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK37_SY164 ) )
              | ~ ( b48_buttercup10102 @ sK37_SY164 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1152]) ).

thf(1202,plain,
    ! [SV98: $i,SV68: $i,SV73: $i] :
      ( ( ( k04_buttercup10100 @ SV73 )
        = $false )
      | ( ( b48_buttercup10098 @ SV68 )
        = $false )
      | ( ( k04_buttercup10100 @ SV68 )
        = $false )
      | ( ( b48_buttercup10098 @ SV73 )
        = $true )
      | ( ( k04_buttercup10100 @ SV98 )
        = $true )
      | ( ( ~ ( b48_buttercup10098 @ SV98 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1153]) ).

thf(1203,plain,
    ( ( ( b48_buttercup10098 @ sK2_X142 )
      = $true )
    | ( sK5_REN = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1155]) ).

thf(1204,plain,
    ( ( ( ~ ( k04_buttercup10100 @ sK2_X142 ) )
      = $true )
    | ( sK5_REN = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1156]) ).

thf(1205,plain,
    ( ( ( k04_buttercup10100 @ sK1_X144 )
      = $true )
    | ( sK4_REN = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1158]) ).

thf(1206,plain,
    ( ( ( ~ ( b48_buttercup10098 @ sK1_X144 ) )
      = $true )
    | ( sK4_REN = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1159]) ).

thf(1207,plain,
    ! [SV74: $i,SV101: $i,SV117: $i] :
      ( ( ( ~ ( b48_buttercup10109 @ SV117 )
          | ( k04_buttercup10619 @ SV117 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK101_X29 )
                                      | ~ ( k04_buttercup10619 @ sK101_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK102_SY207 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK102_SY207 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK103_SY209 ) )
              | ~ ( b48_buttercup10109 @ sK103_SY209 ) ) )
        = $true )
      | ( ( b48_buttercup10109 @ SV101 )
        = $true )
      | ( ( k04_buttercup10619 @ SV101 )
        = $false )
      | ( ( k04_buttercup10619 @ SV74 )
        = $false )
      | ( ( b48_buttercup10109 @ SV74 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1160]) ).

thf(1208,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK100_X33 )
          | ~ ~ ( b48_buttercup10109 @ sK100_X33 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK97_X29 )
                                      | ~ ( k04_buttercup10619 @ sK97_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK98_SY204 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK98_SY204 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK99_SY206 ) )
              | ~ ( b48_buttercup10109 @ sK99_SY206 ) ) )
        = $true )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1161]) ).

thf(1209,plain,
    ! [SV76: $i,SV118: $i] :
      ( ( ( ~ ( b48_buttercup10109 @ SV118 )
          | ( k04_buttercup10619 @ SV118 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK93_X29 )
                                      | ~ ( k04_buttercup10619 @ sK93_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK94_SY201 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK94_SY201 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK95_SY203 ) )
              | ~ ( b48_buttercup10109 @ sK95_SY203 ) ) )
        = $true )
      | ( ( b48_buttercup10109 @ sK96_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1162]) ).

thf(1210,plain,
    ! [SV76: $i] :
      ( ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10109 @ SX0 )
              | ( k04_buttercup10619 @ SX0 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK93_X29 )
                                      | ~ ( k04_buttercup10619 @ sK93_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK94_SY201 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK94_SY201 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK95_SY203 ) )
              | ~ ( b48_buttercup10109 @ sK95_SY203 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ sK96_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1163]) ).

thf(1211,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK91_X33 )
          | ~ ~ ( b48_buttercup10109 @ sK91_X33 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                                      | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK90_SY200 ) )
              | ~ ( b48_buttercup10109 @ sK90_SY200 ) ) )
        = $true )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1164]) ).

thf(1212,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( ~ ( k04_buttercup10619 @ sK91_X33 )
              | ~ ~ ( b48_buttercup10109 @ sK91_X33 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                                      | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK90_SY200 ) )
              | ~ ( b48_buttercup10109 @ sK90_SY200 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1165]) ).

thf(1213,plain,
    ! [SV78: $i,SV103: $i,SV119: $i] :
      ( ( ( ~ ( b48_buttercup10107 @ SV119 )
          | ( k04_buttercup10100 @ SV119 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK31_X74 )
                                      | ~ ( k04_buttercup10100 @ sK31_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK32_SY159 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK32_SY159 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK33_SY161 ) )
              | ~ ( b48_buttercup10107 @ sK33_SY161 ) ) )
        = $true )
      | ( ( b48_buttercup10107 @ SV103 )
        = $true )
      | ( ( k04_buttercup10100 @ SV103 )
        = $false )
      | ( ( k04_buttercup10100 @ SV78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV78 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1166]) ).

thf(1214,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK30_X78 )
          | ~ ~ ( b48_buttercup10107 @ sK30_X78 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK27_X74 )
                                      | ~ ( k04_buttercup10100 @ sK27_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK28_SY156 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK28_SY156 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK29_SY158 ) )
              | ~ ( b48_buttercup10107 @ sK29_SY158 ) ) )
        = $true )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1167]) ).

thf(1215,plain,
    ! [SV80: $i,SV120: $i] :
      ( ( ( ~ ( b48_buttercup10107 @ SV120 )
          | ( k04_buttercup10100 @ SV120 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK23_X74 )
                                      | ~ ( k04_buttercup10100 @ sK23_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK24_SY153 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK24_SY153 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK25_SY155 ) )
              | ~ ( b48_buttercup10107 @ sK25_SY155 ) ) )
        = $true )
      | ( ( b48_buttercup10107 @ sK26_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1168]) ).

thf(1216,plain,
    ! [SV80: $i] :
      ( ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10107 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK23_X74 )
                                      | ~ ( k04_buttercup10100 @ sK23_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK24_SY153 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK24_SY153 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK25_SY155 ) )
              | ~ ( b48_buttercup10107 @ sK25_SY155 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK26_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1169]) ).

thf(1217,plain,
    ! [SV81: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK21_X78 )
          | ~ ~ ( b48_buttercup10107 @ sK21_X78 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                                      | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK20_SY152 ) )
              | ~ ( b48_buttercup10107 @ sK20_SY152 ) ) )
        = $true )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1170]) ).

thf(1218,plain,
    ! [SV81: $i] :
      ( ( ( ~ ( ~ ( k04_buttercup10100 @ sK21_X78 )
              | ~ ~ ( b48_buttercup10107 @ sK21_X78 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                                      | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK20_SY152 ) )
              | ~ ( b48_buttercup10107 @ sK20_SY152 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1171]) ).

thf(1219,plain,
    ! [SV82: $i,SV105: $i,SV121: $i] :
      ( ( ( ~ ( b48_buttercup10104 @ SV121 )
          | ( k04_buttercup10100 @ SV121 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK135_X9 )
                                      | ~ ( k04_buttercup10100 @ sK135_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK136_SY231 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK136_SY231 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK137_SY233 ) )
              | ~ ( b48_buttercup10104 @ sK137_SY233 ) ) )
        = $true )
      | ( ( b48_buttercup10104 @ SV105 )
        = $true )
      | ( ( k04_buttercup10100 @ SV105 )
        = $false )
      | ( ( k04_buttercup10100 @ SV82 )
        = $false )
      | ( ( b48_buttercup10104 @ SV82 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1172]) ).

thf(1220,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK134_X13 )
          | ~ ~ ( b48_buttercup10104 @ sK134_X13 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK131_X9 )
                                      | ~ ( k04_buttercup10100 @ sK131_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK132_SY228 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK132_SY228 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK133_SY230 ) )
              | ~ ( b48_buttercup10104 @ sK133_SY230 ) ) )
        = $true )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1173]) ).

thf(1221,plain,
    ! [SV84: $i,SV122: $i] :
      ( ( ( ~ ( b48_buttercup10104 @ SV122 )
          | ( k04_buttercup10100 @ SV122 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK127_X9 )
                                      | ~ ( k04_buttercup10100 @ sK127_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK128_SY225 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK128_SY225 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK129_SY227 ) )
              | ~ ( b48_buttercup10104 @ sK129_SY227 ) ) )
        = $true )
      | ( ( b48_buttercup10104 @ sK130_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1174]) ).

thf(1222,plain,
    ! [SV84: $i] :
      ( ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10104 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK127_X9 )
                                      | ~ ( k04_buttercup10100 @ sK127_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK128_SY225 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK128_SY225 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK129_SY227 ) )
              | ~ ( b48_buttercup10104 @ sK129_SY227 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK130_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1175]) ).

thf(1223,plain,
    ! [SV85: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK125_X13 )
          | ~ ~ ( b48_buttercup10104 @ sK125_X13 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                                      | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK124_SY224 ) )
              | ~ ( b48_buttercup10104 @ sK124_SY224 ) ) )
        = $true )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1176]) ).

thf(1224,plain,
    ! [SV85: $i] :
      ( ( ( ~ ( ~ ( k04_buttercup10100 @ sK125_X13 )
              | ~ ~ ( b48_buttercup10104 @ sK125_X13 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                                      | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK124_SY224 ) )
              | ~ ( b48_buttercup10104 @ sK124_SY224 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1177]) ).

thf(1225,plain,
    ! [SV86: $i,SV107: $i,SV123: $i] :
      ( ( ( ~ ( b48_buttercup10110 @ SV123 )
          | ( k04_buttercup10100 @ SV123 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK68_X47 )
                                      | ~ ( k04_buttercup10100 @ sK68_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK69_SY183 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK69_SY183 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK70_SY185 ) )
              | ~ ( b48_buttercup10110 @ sK70_SY185 ) ) )
        = $true )
      | ( ( b48_buttercup10110 @ SV107 )
        = $true )
      | ( ( k04_buttercup10100 @ SV107 )
        = $false )
      | ( ( k04_buttercup10100 @ SV86 )
        = $false )
      | ( ( b48_buttercup10110 @ SV86 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1178]) ).

thf(1226,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK67_X51 )
          | ~ ~ ( b48_buttercup10110 @ sK67_X51 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK64_X47 )
                                      | ~ ( k04_buttercup10100 @ sK64_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK65_SY180 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK65_SY180 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK66_SY182 ) )
              | ~ ( b48_buttercup10110 @ sK66_SY182 ) ) )
        = $true )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1179]) ).

thf(1227,plain,
    ! [SV88: $i,SV124: $i] :
      ( ( ( ~ ( b48_buttercup10110 @ SV124 )
          | ( k04_buttercup10100 @ SV124 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK60_X47 )
                                      | ~ ( k04_buttercup10100 @ sK60_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK61_SY177 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK61_SY177 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK62_SY179 ) )
              | ~ ( b48_buttercup10110 @ sK62_SY179 ) ) )
        = $true )
      | ( ( b48_buttercup10110 @ sK63_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1180]) ).

thf(1228,plain,
    ! [SV88: $i] :
      ( ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10110 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK60_X47 )
                                      | ~ ( k04_buttercup10100 @ sK60_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK61_SY177 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK61_SY177 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK62_SY179 ) )
              | ~ ( b48_buttercup10110 @ sK62_SY179 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK63_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1181]) ).

thf(1229,plain,
    ! [SV89: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK58_X51 )
          | ~ ~ ( b48_buttercup10110 @ sK58_X51 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                                      | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK57_SY176 ) )
              | ~ ( b48_buttercup10110 @ sK57_SY176 ) ) )
        = $true )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1182]) ).

thf(1230,plain,
    ! [SV89: $i] :
      ( ( ( ~ ( ~ ( k04_buttercup10100 @ sK58_X51 )
              | ~ ~ ( b48_buttercup10110 @ sK58_X51 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                                      | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK57_SY176 ) )
              | ~ ( b48_buttercup10110 @ sK57_SY176 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1183]) ).

thf(1231,plain,
    ! [SV90: $i,SV109: $i,SV125: $i] :
      ( ( ( ~ ( b48_buttercup10108 @ SV125 )
          | ( k04_buttercup10100 @ SV125 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK84_X39 )
                                      | ~ ( k04_buttercup10100 @ sK84_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK85_SY195 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK85_SY195 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK86_SY197 ) )
              | ~ ( b48_buttercup10108 @ sK86_SY197 ) ) )
        = $true )
      | ( ( b48_buttercup10108 @ SV109 )
        = $true )
      | ( ( k04_buttercup10100 @ SV109 )
        = $false )
      | ( ( k04_buttercup10100 @ SV90 )
        = $false )
      | ( ( b48_buttercup10108 @ SV90 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1184]) ).

thf(1232,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK83_X43 )
          | ~ ~ ( b48_buttercup10108 @ sK83_X43 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK80_X39 )
                                      | ~ ( k04_buttercup10100 @ sK80_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK81_SY192 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK81_SY192 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK82_SY194 ) )
              | ~ ( b48_buttercup10108 @ sK82_SY194 ) ) )
        = $true )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1185]) ).

thf(1233,plain,
    ! [SV92: $i,SV126: $i] :
      ( ( ( ~ ( b48_buttercup10108 @ SV126 )
          | ( k04_buttercup10100 @ SV126 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK76_X39 )
                                      | ~ ( k04_buttercup10100 @ sK76_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK77_SY189 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK77_SY189 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK78_SY191 ) )
              | ~ ( b48_buttercup10108 @ sK78_SY191 ) ) )
        = $true )
      | ( ( b48_buttercup10108 @ sK79_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1186]) ).

thf(1234,plain,
    ! [SV92: $i] :
      ( ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10108 @ SX0 )
              | ( k04_buttercup10100 @ SX0 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK76_X39 )
                                      | ~ ( k04_buttercup10100 @ sK76_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK77_SY189 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK77_SY189 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK78_SY191 ) )
              | ~ ( b48_buttercup10108 @ sK78_SY191 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK79_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1187]) ).

thf(1235,plain,
    ! [SV93: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK74_X43 )
          | ~ ~ ( b48_buttercup10108 @ sK74_X43 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                                      | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK73_SY188 ) )
              | ~ ( b48_buttercup10108 @ sK73_SY188 ) ) )
        = $true )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1188]) ).

thf(1236,plain,
    ! [SV93: $i] :
      ( ( ( ~ ( ~ ( k04_buttercup10100 @ sK74_X43 )
              | ~ ~ ( b48_buttercup10108 @ sK74_X43 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                                      | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK73_SY188 ) )
              | ~ ( b48_buttercup10108 @ sK73_SY188 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1189]) ).

thf(1237,plain,
    ! [SV94: $i,SV111: $i,SV127: $i] :
      ( ( ( ~ ( b48_buttercup10111 @ SV127 )
          | ( k04_buttercup10619 @ SV127 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK118_X19 )
                                      | ~ ( k04_buttercup10619 @ sK118_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK119_SY219 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK119_SY219 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK120_SY221 ) )
              | ~ ( b48_buttercup10111 @ sK120_SY221 ) ) )
        = $true )
      | ( ( b48_buttercup10111 @ SV111 )
        = $true )
      | ( ( k04_buttercup10619 @ SV111 )
        = $false )
      | ( ( k04_buttercup10619 @ SV94 )
        = $false )
      | ( ( b48_buttercup10111 @ SV94 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1190]) ).

thf(1238,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK117_X23 )
          | ~ ~ ( b48_buttercup10111 @ sK117_X23 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK114_X19 )
                                      | ~ ( k04_buttercup10619 @ sK114_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK115_SY216 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK115_SY216 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK116_SY218 ) )
              | ~ ( b48_buttercup10111 @ sK116_SY218 ) ) )
        = $true )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1191]) ).

thf(1239,plain,
    ! [SV96: $i,SV128: $i] :
      ( ( ( ~ ( b48_buttercup10111 @ SV128 )
          | ( k04_buttercup10619 @ SV128 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK110_X19 )
                                      | ~ ( k04_buttercup10619 @ sK110_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK111_SY213 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK111_SY213 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK112_SY215 ) )
              | ~ ( b48_buttercup10111 @ sK112_SY215 ) ) )
        = $true )
      | ( ( b48_buttercup10111 @ sK113_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1192]) ).

thf(1240,plain,
    ! [SV96: $i] :
      ( ( ( ! [SX0: $i] :
              ( ~ ( b48_buttercup10111 @ SX0 )
              | ( k04_buttercup10619 @ SX0 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK110_X19 )
                                      | ~ ( k04_buttercup10619 @ sK110_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK111_SY213 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK111_SY213 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK112_SY215 ) )
              | ~ ( b48_buttercup10111 @ sK112_SY215 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ sK113_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1193]) ).

thf(1241,plain,
    ! [SV97: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK108_X23 )
          | ~ ~ ( b48_buttercup10111 @ sK108_X23 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                                      | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK107_SY212 ) )
              | ~ ( b48_buttercup10111 @ sK107_SY212 ) ) )
        = $true )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1194]) ).

thf(1242,plain,
    ! [SV97: $i] :
      ( ( ( ~ ( ~ ( k04_buttercup10619 @ sK108_X23 )
              | ~ ~ ( b48_buttercup10111 @ sK108_X23 ) ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                                      | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK107_SY212 ) )
              | ~ ( b48_buttercup10111 @ sK107_SY212 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1195]) ).

thf(1243,plain,
    ! [SV69: $i,SV99: $i,SV115: $i] :
      ( ( ( ~ ( b48_buttercup10102 @ SV115 ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV115 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK48_X63 )
                                      | ~ ( k04_buttercup10100 @ sK48_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK49_SY171 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK49_SY171 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK50_SY173 ) )
              | ~ ( b48_buttercup10102 @ sK50_SY173 ) ) )
        = $true )
      | ( ( b48_buttercup10102 @ SV99 )
        = $true )
      | ( ( k04_buttercup10100 @ SV99 )
        = $false )
      | ( ( k04_buttercup10100 @ SV69 )
        = $false )
      | ( ( b48_buttercup10102 @ SV69 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1196]) ).

thf(1244,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK47_X67 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK44_X63 )
                                      | ~ ( k04_buttercup10100 @ sK44_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK45_SY168 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK45_SY168 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK46_SY170 ) )
              | ~ ( b48_buttercup10102 @ sK46_SY170 ) ) )
        = $true )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1197]) ).

thf(1245,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( ~ ~ ( b48_buttercup10102 @ sK47_X67 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK44_X63 )
                                      | ~ ( k04_buttercup10100 @ sK44_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK45_SY168 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK45_SY168 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK46_SY170 ) )
              | ~ ( b48_buttercup10102 @ sK46_SY170 ) ) )
        = $true )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1197]) ).

thf(1246,plain,
    ! [SV71: $i,SV116: $i] :
      ( ( ( ~ ( b48_buttercup10102 @ SV116 ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV116 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK40_X63 )
                                      | ~ ( k04_buttercup10100 @ sK40_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK41_SY165 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK41_SY165 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK42_SY167 ) )
              | ~ ( b48_buttercup10102 @ sK42_SY167 ) ) )
        = $true )
      | ( ( b48_buttercup10102 @ sK43_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1198]) ).

thf(1247,plain,
    ! [SV71: $i,SV129: $i] :
      ( ( ( ~ ( b48_buttercup10102 @ SV129 )
          | ( k04_buttercup10100 @ SV129 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK40_X63 )
                                      | ~ ( k04_buttercup10100 @ sK40_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK41_SY165 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK41_SY165 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK42_SY167 ) )
              | ~ ( b48_buttercup10102 @ sK42_SY167 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK43_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1199]) ).

thf(1248,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK38_X67 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                                      | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK37_SY164 ) )
              | ~ ( b48_buttercup10102 @ sK37_SY164 ) ) )
        = $true )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1200]) ).

thf(1249,plain,
    ! [SV72: $i] :
      ( ( ( ~ ~ ( b48_buttercup10102 @ sK38_X67 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                                      | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK37_SY164 ) )
              | ~ ( b48_buttercup10102 @ sK37_SY164 ) ) )
        = $true )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1200]) ).

thf(1250,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK38_X67 )
          | ~ ~ ( b48_buttercup10102 @ sK38_X67 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                                      | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK37_SY164 ) )
              | ~ ( b48_buttercup10102 @ sK37_SY164 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1201]) ).

thf(1251,plain,
    ! [SV68: $i,SV73: $i,SV98: $i] :
      ( ( ( b48_buttercup10098 @ SV98 )
        = $false )
      | ( ( k04_buttercup10100 @ SV98 )
        = $true )
      | ( ( b48_buttercup10098 @ SV73 )
        = $true )
      | ( ( k04_buttercup10100 @ SV68 )
        = $false )
      | ( ( b48_buttercup10098 @ SV68 )
        = $false )
      | ( ( k04_buttercup10100 @ SV73 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1202]) ).

thf(1252,plain,
    ( ( ( k04_buttercup10100 @ sK2_X142 )
      = $false )
    | ( sK5_REN = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1204]) ).

thf(1253,plain,
    ( ( ( b48_buttercup10098 @ sK1_X144 )
      = $false )
    | ( sK4_REN = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1206]) ).

thf(1254,plain,
    ! [SV74: $i,SV101: $i,SV117: $i] :
      ( ( ( ~ ( b48_buttercup10109 @ SV117 ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV117 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK101_X29 )
                                      | ~ ( k04_buttercup10619 @ sK101_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK102_SY207 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK102_SY207 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK103_SY209 ) )
              | ~ ( b48_buttercup10109 @ sK103_SY209 ) ) )
        = $true )
      | ( ( b48_buttercup10109 @ SV101 )
        = $true )
      | ( ( k04_buttercup10619 @ SV101 )
        = $false )
      | ( ( k04_buttercup10619 @ SV74 )
        = $false )
      | ( ( b48_buttercup10109 @ SV74 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1207]) ).

thf(1255,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK100_X33 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK97_X29 )
                                      | ~ ( k04_buttercup10619 @ sK97_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK98_SY204 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK98_SY204 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK99_SY206 ) )
              | ~ ( b48_buttercup10109 @ sK99_SY206 ) ) )
        = $true )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1208]) ).

thf(1256,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( ~ ~ ( b48_buttercup10109 @ sK100_X33 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK97_X29 )
                                      | ~ ( k04_buttercup10619 @ sK97_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK98_SY204 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK98_SY204 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK99_SY206 ) )
              | ~ ( b48_buttercup10109 @ sK99_SY206 ) ) )
        = $true )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1208]) ).

thf(1257,plain,
    ! [SV76: $i,SV118: $i] :
      ( ( ( ~ ( b48_buttercup10109 @ SV118 ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV118 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK93_X29 )
                                      | ~ ( k04_buttercup10619 @ sK93_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK94_SY201 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK94_SY201 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK95_SY203 ) )
              | ~ ( b48_buttercup10109 @ sK95_SY203 ) ) )
        = $true )
      | ( ( b48_buttercup10109 @ sK96_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1209]) ).

thf(1258,plain,
    ! [SV76: $i,SV130: $i] :
      ( ( ( ~ ( b48_buttercup10109 @ SV130 )
          | ( k04_buttercup10619 @ SV130 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK93_X29 )
                                      | ~ ( k04_buttercup10619 @ sK93_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK94_SY201 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK94_SY201 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK95_SY203 ) )
              | ~ ( b48_buttercup10109 @ sK95_SY203 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ sK96_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1210]) ).

thf(1259,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK91_X33 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                                      | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK90_SY200 ) )
              | ~ ( b48_buttercup10109 @ sK90_SY200 ) ) )
        = $true )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1211]) ).

thf(1260,plain,
    ! [SV77: $i] :
      ( ( ( ~ ~ ( b48_buttercup10109 @ sK91_X33 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                                      | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK90_SY200 ) )
              | ~ ( b48_buttercup10109 @ sK90_SY200 ) ) )
        = $true )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1211]) ).

thf(1261,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK91_X33 )
          | ~ ~ ( b48_buttercup10109 @ sK91_X33 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                                      | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK90_SY200 ) )
              | ~ ( b48_buttercup10109 @ sK90_SY200 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1212]) ).

thf(1262,plain,
    ! [SV78: $i,SV103: $i,SV119: $i] :
      ( ( ( ~ ( b48_buttercup10107 @ SV119 ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV119 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK31_X74 )
                                      | ~ ( k04_buttercup10100 @ sK31_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK32_SY159 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK32_SY159 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK33_SY161 ) )
              | ~ ( b48_buttercup10107 @ sK33_SY161 ) ) )
        = $true )
      | ( ( b48_buttercup10107 @ SV103 )
        = $true )
      | ( ( k04_buttercup10100 @ SV103 )
        = $false )
      | ( ( k04_buttercup10100 @ SV78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV78 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1213]) ).

thf(1263,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK30_X78 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK27_X74 )
                                      | ~ ( k04_buttercup10100 @ sK27_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK28_SY156 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK28_SY156 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK29_SY158 ) )
              | ~ ( b48_buttercup10107 @ sK29_SY158 ) ) )
        = $true )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1214]) ).

thf(1264,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( ~ ~ ( b48_buttercup10107 @ sK30_X78 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK27_X74 )
                                      | ~ ( k04_buttercup10100 @ sK27_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK28_SY156 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK28_SY156 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK29_SY158 ) )
              | ~ ( b48_buttercup10107 @ sK29_SY158 ) ) )
        = $true )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1214]) ).

thf(1265,plain,
    ! [SV80: $i,SV120: $i] :
      ( ( ( ~ ( b48_buttercup10107 @ SV120 ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV120 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK23_X74 )
                                      | ~ ( k04_buttercup10100 @ sK23_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK24_SY153 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK24_SY153 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK25_SY155 ) )
              | ~ ( b48_buttercup10107 @ sK25_SY155 ) ) )
        = $true )
      | ( ( b48_buttercup10107 @ sK26_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1215]) ).

thf(1266,plain,
    ! [SV80: $i,SV131: $i] :
      ( ( ( ~ ( b48_buttercup10107 @ SV131 )
          | ( k04_buttercup10100 @ SV131 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK23_X74 )
                                      | ~ ( k04_buttercup10100 @ sK23_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK24_SY153 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK24_SY153 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK25_SY155 ) )
              | ~ ( b48_buttercup10107 @ sK25_SY155 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK26_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1216]) ).

thf(1267,plain,
    ! [SV81: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK21_X78 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                                      | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK20_SY152 ) )
              | ~ ( b48_buttercup10107 @ sK20_SY152 ) ) )
        = $true )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1217]) ).

thf(1268,plain,
    ! [SV81: $i] :
      ( ( ( ~ ~ ( b48_buttercup10107 @ sK21_X78 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                                      | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK20_SY152 ) )
              | ~ ( b48_buttercup10107 @ sK20_SY152 ) ) )
        = $true )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1217]) ).

thf(1269,plain,
    ! [SV81: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK21_X78 )
          | ~ ~ ( b48_buttercup10107 @ sK21_X78 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                                      | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK20_SY152 ) )
              | ~ ( b48_buttercup10107 @ sK20_SY152 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1218]) ).

thf(1270,plain,
    ! [SV82: $i,SV105: $i,SV121: $i] :
      ( ( ( ~ ( b48_buttercup10104 @ SV121 ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV121 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK135_X9 )
                                      | ~ ( k04_buttercup10100 @ sK135_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK136_SY231 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK136_SY231 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK137_SY233 ) )
              | ~ ( b48_buttercup10104 @ sK137_SY233 ) ) )
        = $true )
      | ( ( b48_buttercup10104 @ SV105 )
        = $true )
      | ( ( k04_buttercup10100 @ SV105 )
        = $false )
      | ( ( k04_buttercup10100 @ SV82 )
        = $false )
      | ( ( b48_buttercup10104 @ SV82 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1219]) ).

thf(1271,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK134_X13 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK131_X9 )
                                      | ~ ( k04_buttercup10100 @ sK131_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK132_SY228 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK132_SY228 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK133_SY230 ) )
              | ~ ( b48_buttercup10104 @ sK133_SY230 ) ) )
        = $true )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1220]) ).

thf(1272,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( ~ ~ ( b48_buttercup10104 @ sK134_X13 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK131_X9 )
                                      | ~ ( k04_buttercup10100 @ sK131_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK132_SY228 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK132_SY228 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK133_SY230 ) )
              | ~ ( b48_buttercup10104 @ sK133_SY230 ) ) )
        = $true )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1220]) ).

thf(1273,plain,
    ! [SV84: $i,SV122: $i] :
      ( ( ( ~ ( b48_buttercup10104 @ SV122 ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV122 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK127_X9 )
                                      | ~ ( k04_buttercup10100 @ sK127_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK128_SY225 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK128_SY225 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK129_SY227 ) )
              | ~ ( b48_buttercup10104 @ sK129_SY227 ) ) )
        = $true )
      | ( ( b48_buttercup10104 @ sK130_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1221]) ).

thf(1274,plain,
    ! [SV84: $i,SV132: $i] :
      ( ( ( ~ ( b48_buttercup10104 @ SV132 )
          | ( k04_buttercup10100 @ SV132 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK127_X9 )
                                      | ~ ( k04_buttercup10100 @ sK127_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK128_SY225 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK128_SY225 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK129_SY227 ) )
              | ~ ( b48_buttercup10104 @ sK129_SY227 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK130_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1222]) ).

thf(1275,plain,
    ! [SV85: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK125_X13 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                                      | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK124_SY224 ) )
              | ~ ( b48_buttercup10104 @ sK124_SY224 ) ) )
        = $true )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1223]) ).

thf(1276,plain,
    ! [SV85: $i] :
      ( ( ( ~ ~ ( b48_buttercup10104 @ sK125_X13 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                                      | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK124_SY224 ) )
              | ~ ( b48_buttercup10104 @ sK124_SY224 ) ) )
        = $true )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1223]) ).

thf(1277,plain,
    ! [SV85: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK125_X13 )
          | ~ ~ ( b48_buttercup10104 @ sK125_X13 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                                      | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK124_SY224 ) )
              | ~ ( b48_buttercup10104 @ sK124_SY224 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1224]) ).

thf(1278,plain,
    ! [SV86: $i,SV107: $i,SV123: $i] :
      ( ( ( ~ ( b48_buttercup10110 @ SV123 ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV123 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK68_X47 )
                                      | ~ ( k04_buttercup10100 @ sK68_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK69_SY183 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK69_SY183 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK70_SY185 ) )
              | ~ ( b48_buttercup10110 @ sK70_SY185 ) ) )
        = $true )
      | ( ( b48_buttercup10110 @ SV107 )
        = $true )
      | ( ( k04_buttercup10100 @ SV107 )
        = $false )
      | ( ( k04_buttercup10100 @ SV86 )
        = $false )
      | ( ( b48_buttercup10110 @ SV86 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1225]) ).

thf(1279,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK67_X51 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK64_X47 )
                                      | ~ ( k04_buttercup10100 @ sK64_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK65_SY180 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK65_SY180 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK66_SY182 ) )
              | ~ ( b48_buttercup10110 @ sK66_SY182 ) ) )
        = $true )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1226]) ).

thf(1280,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( ~ ~ ( b48_buttercup10110 @ sK67_X51 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK64_X47 )
                                      | ~ ( k04_buttercup10100 @ sK64_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK65_SY180 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK65_SY180 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK66_SY182 ) )
              | ~ ( b48_buttercup10110 @ sK66_SY182 ) ) )
        = $true )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1226]) ).

thf(1281,plain,
    ! [SV88: $i,SV124: $i] :
      ( ( ( ~ ( b48_buttercup10110 @ SV124 ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV124 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK60_X47 )
                                      | ~ ( k04_buttercup10100 @ sK60_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK61_SY177 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK61_SY177 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK62_SY179 ) )
              | ~ ( b48_buttercup10110 @ sK62_SY179 ) ) )
        = $true )
      | ( ( b48_buttercup10110 @ sK63_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1227]) ).

thf(1282,plain,
    ! [SV88: $i,SV133: $i] :
      ( ( ( ~ ( b48_buttercup10110 @ SV133 )
          | ( k04_buttercup10100 @ SV133 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK60_X47 )
                                      | ~ ( k04_buttercup10100 @ sK60_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK61_SY177 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK61_SY177 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK62_SY179 ) )
              | ~ ( b48_buttercup10110 @ sK62_SY179 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK63_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1228]) ).

thf(1283,plain,
    ! [SV89: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK58_X51 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                                      | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK57_SY176 ) )
              | ~ ( b48_buttercup10110 @ sK57_SY176 ) ) )
        = $true )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1229]) ).

thf(1284,plain,
    ! [SV89: $i] :
      ( ( ( ~ ~ ( b48_buttercup10110 @ sK58_X51 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                                      | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK57_SY176 ) )
              | ~ ( b48_buttercup10110 @ sK57_SY176 ) ) )
        = $true )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1229]) ).

thf(1285,plain,
    ! [SV89: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK58_X51 )
          | ~ ~ ( b48_buttercup10110 @ sK58_X51 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                                      | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK57_SY176 ) )
              | ~ ( b48_buttercup10110 @ sK57_SY176 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1230]) ).

thf(1286,plain,
    ! [SV90: $i,SV109: $i,SV125: $i] :
      ( ( ( ~ ( b48_buttercup10108 @ SV125 ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV125 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK84_X39 )
                                      | ~ ( k04_buttercup10100 @ sK84_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK85_SY195 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK85_SY195 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK86_SY197 ) )
              | ~ ( b48_buttercup10108 @ sK86_SY197 ) ) )
        = $true )
      | ( ( b48_buttercup10108 @ SV109 )
        = $true )
      | ( ( k04_buttercup10100 @ SV109 )
        = $false )
      | ( ( k04_buttercup10100 @ SV90 )
        = $false )
      | ( ( b48_buttercup10108 @ SV90 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1231]) ).

thf(1287,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK83_X43 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK80_X39 )
                                      | ~ ( k04_buttercup10100 @ sK80_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK81_SY192 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK81_SY192 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK82_SY194 ) )
              | ~ ( b48_buttercup10108 @ sK82_SY194 ) ) )
        = $true )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1232]) ).

thf(1288,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( ~ ~ ( b48_buttercup10108 @ sK83_X43 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK80_X39 )
                                      | ~ ( k04_buttercup10100 @ sK80_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK81_SY192 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK81_SY192 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK82_SY194 ) )
              | ~ ( b48_buttercup10108 @ sK82_SY194 ) ) )
        = $true )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1232]) ).

thf(1289,plain,
    ! [SV92: $i,SV126: $i] :
      ( ( ( ~ ( b48_buttercup10108 @ SV126 ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV126 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK76_X39 )
                                      | ~ ( k04_buttercup10100 @ sK76_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK77_SY189 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK77_SY189 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK78_SY191 ) )
              | ~ ( b48_buttercup10108 @ sK78_SY191 ) ) )
        = $true )
      | ( ( b48_buttercup10108 @ sK79_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1233]) ).

thf(1290,plain,
    ! [SV92: $i,SV134: $i] :
      ( ( ( ~ ( b48_buttercup10108 @ SV134 )
          | ( k04_buttercup10100 @ SV134 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK76_X39 )
                                      | ~ ( k04_buttercup10100 @ sK76_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK77_SY189 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK77_SY189 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK78_SY191 ) )
              | ~ ( b48_buttercup10108 @ sK78_SY191 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK79_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1234]) ).

thf(1291,plain,
    ! [SV93: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK74_X43 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                                      | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK73_SY188 ) )
              | ~ ( b48_buttercup10108 @ sK73_SY188 ) ) )
        = $true )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1235]) ).

thf(1292,plain,
    ! [SV93: $i] :
      ( ( ( ~ ~ ( b48_buttercup10108 @ sK74_X43 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                                      | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK73_SY188 ) )
              | ~ ( b48_buttercup10108 @ sK73_SY188 ) ) )
        = $true )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1235]) ).

thf(1293,plain,
    ! [SV93: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK74_X43 )
          | ~ ~ ( b48_buttercup10108 @ sK74_X43 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                                      | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK73_SY188 ) )
              | ~ ( b48_buttercup10108 @ sK73_SY188 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1236]) ).

thf(1294,plain,
    ! [SV94: $i,SV111: $i,SV127: $i] :
      ( ( ( ~ ( b48_buttercup10111 @ SV127 ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV127 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK118_X19 )
                                      | ~ ( k04_buttercup10619 @ sK118_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK119_SY219 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK119_SY219 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK120_SY221 ) )
              | ~ ( b48_buttercup10111 @ sK120_SY221 ) ) )
        = $true )
      | ( ( b48_buttercup10111 @ SV111 )
        = $true )
      | ( ( k04_buttercup10619 @ SV111 )
        = $false )
      | ( ( k04_buttercup10619 @ SV94 )
        = $false )
      | ( ( b48_buttercup10111 @ SV94 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1237]) ).

thf(1295,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK117_X23 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK114_X19 )
                                      | ~ ( k04_buttercup10619 @ sK114_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK115_SY216 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK115_SY216 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK116_SY218 ) )
              | ~ ( b48_buttercup10111 @ sK116_SY218 ) ) )
        = $true )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1238]) ).

thf(1296,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( ~ ~ ( b48_buttercup10111 @ sK117_X23 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK114_X19 )
                                      | ~ ( k04_buttercup10619 @ sK114_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK115_SY216 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK115_SY216 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK116_SY218 ) )
              | ~ ( b48_buttercup10111 @ sK116_SY218 ) ) )
        = $true )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1238]) ).

thf(1297,plain,
    ! [SV96: $i,SV128: $i] :
      ( ( ( ~ ( b48_buttercup10111 @ SV128 ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV128 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK110_X19 )
                                      | ~ ( k04_buttercup10619 @ sK110_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK111_SY213 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK111_SY213 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK112_SY215 ) )
              | ~ ( b48_buttercup10111 @ sK112_SY215 ) ) )
        = $true )
      | ( ( b48_buttercup10111 @ sK113_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1239]) ).

thf(1298,plain,
    ! [SV96: $i,SV135: $i] :
      ( ( ( ~ ( b48_buttercup10111 @ SV135 )
          | ( k04_buttercup10619 @ SV135 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK110_X19 )
                                      | ~ ( k04_buttercup10619 @ sK110_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK111_SY213 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK111_SY213 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK112_SY215 ) )
              | ~ ( b48_buttercup10111 @ sK112_SY215 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ sK113_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1240]) ).

thf(1299,plain,
    ! [SV97: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK108_X23 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                                      | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK107_SY212 ) )
              | ~ ( b48_buttercup10111 @ sK107_SY212 ) ) )
        = $true )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1241]) ).

thf(1300,plain,
    ! [SV97: $i] :
      ( ( ( ~ ~ ( b48_buttercup10111 @ sK108_X23 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                                      | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK107_SY212 ) )
              | ~ ( b48_buttercup10111 @ sK107_SY212 ) ) )
        = $true )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1241]) ).

thf(1301,plain,
    ! [SV97: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK108_X23 )
          | ~ ~ ( b48_buttercup10111 @ sK108_X23 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                                      | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK107_SY212 ) )
              | ~ ( b48_buttercup10111 @ sK107_SY212 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1242]) ).

thf(1302,plain,
    ! [SV69: $i,SV99: $i,SV115: $i] :
      ( ( ( b48_buttercup10102 @ SV115 )
        = $false )
      | ( ( k04_buttercup10100 @ SV115 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK48_X63 )
                                      | ~ ( k04_buttercup10100 @ sK48_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK49_SY171 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK49_SY171 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK50_SY173 ) )
              | ~ ( b48_buttercup10102 @ sK50_SY173 ) ) )
        = $true )
      | ( ( b48_buttercup10102 @ SV99 )
        = $true )
      | ( ( k04_buttercup10100 @ SV99 )
        = $false )
      | ( ( k04_buttercup10100 @ SV69 )
        = $false )
      | ( ( b48_buttercup10102 @ SV69 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1243]) ).

thf(1303,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( k04_buttercup10100 @ sK47_X67 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK44_X63 )
                                      | ~ ( k04_buttercup10100 @ sK44_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK45_SY168 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK45_SY168 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK46_SY170 ) )
              | ~ ( b48_buttercup10102 @ sK46_SY170 ) ) )
        = $true )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1244]) ).

thf(1304,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( ~ ( b48_buttercup10102 @ sK47_X67 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK44_X63 )
                                      | ~ ( k04_buttercup10100 @ sK44_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK45_SY168 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK45_SY168 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK46_SY170 ) )
              | ~ ( b48_buttercup10102 @ sK46_SY170 ) ) )
        = $true )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1245]) ).

thf(1305,plain,
    ! [SV71: $i,SV116: $i] :
      ( ( ( b48_buttercup10102 @ SV116 )
        = $false )
      | ( ( k04_buttercup10100 @ SV116 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK40_X63 )
                                      | ~ ( k04_buttercup10100 @ sK40_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK41_SY165 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK41_SY165 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK42_SY167 ) )
              | ~ ( b48_buttercup10102 @ sK42_SY167 ) ) )
        = $true )
      | ( ( b48_buttercup10102 @ sK43_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1246]) ).

thf(1306,plain,
    ! [SV71: $i,SV129: $i] :
      ( ( ( ~ ( b48_buttercup10102 @ SV129 ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV129 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK40_X63 )
                                      | ~ ( k04_buttercup10100 @ sK40_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK41_SY165 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK41_SY165 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK42_SY167 ) )
              | ~ ( b48_buttercup10102 @ sK42_SY167 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK43_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1247]) ).

thf(1307,plain,
    ! [SV72: $i] :
      ( ( ( k04_buttercup10100 @ sK38_X67 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                                      | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK37_SY164 ) )
              | ~ ( b48_buttercup10102 @ sK37_SY164 ) ) )
        = $true )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1248]) ).

thf(1308,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( b48_buttercup10102 @ sK38_X67 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                                      | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK37_SY164 ) )
              | ~ ( b48_buttercup10102 @ sK37_SY164 ) ) )
        = $true )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1249]) ).

thf(1309,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK38_X67 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                                      | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK37_SY164 ) )
              | ~ ( b48_buttercup10102 @ sK37_SY164 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1250]) ).

thf(1310,plain,
    ! [SV72: $i] :
      ( ( ( ~ ~ ( b48_buttercup10102 @ sK38_X67 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                                      | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK37_SY164 ) )
              | ~ ( b48_buttercup10102 @ sK37_SY164 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1250]) ).

thf(1311,plain,
    ! [SV74: $i,SV101: $i,SV117: $i] :
      ( ( ( b48_buttercup10109 @ SV117 )
        = $false )
      | ( ( k04_buttercup10619 @ SV117 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK101_X29 )
                                      | ~ ( k04_buttercup10619 @ sK101_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK102_SY207 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK102_SY207 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK103_SY209 ) )
              | ~ ( b48_buttercup10109 @ sK103_SY209 ) ) )
        = $true )
      | ( ( b48_buttercup10109 @ SV101 )
        = $true )
      | ( ( k04_buttercup10619 @ SV101 )
        = $false )
      | ( ( k04_buttercup10619 @ SV74 )
        = $false )
      | ( ( b48_buttercup10109 @ SV74 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1254]) ).

thf(1312,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( k04_buttercup10619 @ sK100_X33 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK97_X29 )
                                      | ~ ( k04_buttercup10619 @ sK97_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK98_SY204 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK98_SY204 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK99_SY206 ) )
              | ~ ( b48_buttercup10109 @ sK99_SY206 ) ) )
        = $true )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1255]) ).

thf(1313,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( ~ ( b48_buttercup10109 @ sK100_X33 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK97_X29 )
                                      | ~ ( k04_buttercup10619 @ sK97_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK98_SY204 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK98_SY204 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK99_SY206 ) )
              | ~ ( b48_buttercup10109 @ sK99_SY206 ) ) )
        = $true )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1256]) ).

thf(1314,plain,
    ! [SV76: $i,SV118: $i] :
      ( ( ( b48_buttercup10109 @ SV118 )
        = $false )
      | ( ( k04_buttercup10619 @ SV118 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK93_X29 )
                                      | ~ ( k04_buttercup10619 @ sK93_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK94_SY201 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK94_SY201 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK95_SY203 ) )
              | ~ ( b48_buttercup10109 @ sK95_SY203 ) ) )
        = $true )
      | ( ( b48_buttercup10109 @ sK96_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1257]) ).

thf(1315,plain,
    ! [SV76: $i,SV130: $i] :
      ( ( ( ~ ( b48_buttercup10109 @ SV130 ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV130 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK93_X29 )
                                      | ~ ( k04_buttercup10619 @ sK93_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK94_SY201 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK94_SY201 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK95_SY203 ) )
              | ~ ( b48_buttercup10109 @ sK95_SY203 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ sK96_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1258]) ).

thf(1316,plain,
    ! [SV77: $i] :
      ( ( ( k04_buttercup10619 @ sK91_X33 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                                      | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK90_SY200 ) )
              | ~ ( b48_buttercup10109 @ sK90_SY200 ) ) )
        = $true )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1259]) ).

thf(1317,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( b48_buttercup10109 @ sK91_X33 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                                      | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK90_SY200 ) )
              | ~ ( b48_buttercup10109 @ sK90_SY200 ) ) )
        = $true )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1260]) ).

thf(1318,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK91_X33 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                                      | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK90_SY200 ) )
              | ~ ( b48_buttercup10109 @ sK90_SY200 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1261]) ).

thf(1319,plain,
    ! [SV77: $i] :
      ( ( ( ~ ~ ( b48_buttercup10109 @ sK91_X33 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                                      | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK90_SY200 ) )
              | ~ ( b48_buttercup10109 @ sK90_SY200 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1261]) ).

thf(1320,plain,
    ! [SV78: $i,SV103: $i,SV119: $i] :
      ( ( ( b48_buttercup10107 @ SV119 )
        = $false )
      | ( ( k04_buttercup10100 @ SV119 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK31_X74 )
                                      | ~ ( k04_buttercup10100 @ sK31_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK32_SY159 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK32_SY159 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK33_SY161 ) )
              | ~ ( b48_buttercup10107 @ sK33_SY161 ) ) )
        = $true )
      | ( ( b48_buttercup10107 @ SV103 )
        = $true )
      | ( ( k04_buttercup10100 @ SV103 )
        = $false )
      | ( ( k04_buttercup10100 @ SV78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV78 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1262]) ).

thf(1321,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( k04_buttercup10100 @ sK30_X78 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK27_X74 )
                                      | ~ ( k04_buttercup10100 @ sK27_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK28_SY156 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK28_SY156 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK29_SY158 ) )
              | ~ ( b48_buttercup10107 @ sK29_SY158 ) ) )
        = $true )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1263]) ).

thf(1322,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( ~ ( b48_buttercup10107 @ sK30_X78 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK27_X74 )
                                      | ~ ( k04_buttercup10100 @ sK27_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK28_SY156 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK28_SY156 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK29_SY158 ) )
              | ~ ( b48_buttercup10107 @ sK29_SY158 ) ) )
        = $true )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1264]) ).

thf(1323,plain,
    ! [SV80: $i,SV120: $i] :
      ( ( ( b48_buttercup10107 @ SV120 )
        = $false )
      | ( ( k04_buttercup10100 @ SV120 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK23_X74 )
                                      | ~ ( k04_buttercup10100 @ sK23_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK24_SY153 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK24_SY153 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK25_SY155 ) )
              | ~ ( b48_buttercup10107 @ sK25_SY155 ) ) )
        = $true )
      | ( ( b48_buttercup10107 @ sK26_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1265]) ).

thf(1324,plain,
    ! [SV80: $i,SV131: $i] :
      ( ( ( ~ ( b48_buttercup10107 @ SV131 ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV131 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK23_X74 )
                                      | ~ ( k04_buttercup10100 @ sK23_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK24_SY153 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK24_SY153 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK25_SY155 ) )
              | ~ ( b48_buttercup10107 @ sK25_SY155 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK26_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1266]) ).

thf(1325,plain,
    ! [SV81: $i] :
      ( ( ( k04_buttercup10100 @ sK21_X78 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                                      | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK20_SY152 ) )
              | ~ ( b48_buttercup10107 @ sK20_SY152 ) ) )
        = $true )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1267]) ).

thf(1326,plain,
    ! [SV81: $i] :
      ( ( ( ~ ( b48_buttercup10107 @ sK21_X78 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                                      | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK20_SY152 ) )
              | ~ ( b48_buttercup10107 @ sK20_SY152 ) ) )
        = $true )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1268]) ).

thf(1327,plain,
    ! [SV81: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK21_X78 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                                      | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK20_SY152 ) )
              | ~ ( b48_buttercup10107 @ sK20_SY152 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1269]) ).

thf(1328,plain,
    ! [SV81: $i] :
      ( ( ( ~ ~ ( b48_buttercup10107 @ sK21_X78 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                                      | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK20_SY152 ) )
              | ~ ( b48_buttercup10107 @ sK20_SY152 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1269]) ).

thf(1329,plain,
    ! [SV82: $i,SV105: $i,SV121: $i] :
      ( ( ( b48_buttercup10104 @ SV121 )
        = $false )
      | ( ( k04_buttercup10100 @ SV121 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK135_X9 )
                                      | ~ ( k04_buttercup10100 @ sK135_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK136_SY231 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK136_SY231 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK137_SY233 ) )
              | ~ ( b48_buttercup10104 @ sK137_SY233 ) ) )
        = $true )
      | ( ( b48_buttercup10104 @ SV105 )
        = $true )
      | ( ( k04_buttercup10100 @ SV105 )
        = $false )
      | ( ( k04_buttercup10100 @ SV82 )
        = $false )
      | ( ( b48_buttercup10104 @ SV82 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1270]) ).

thf(1330,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( k04_buttercup10100 @ sK134_X13 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK131_X9 )
                                      | ~ ( k04_buttercup10100 @ sK131_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK132_SY228 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK132_SY228 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK133_SY230 ) )
              | ~ ( b48_buttercup10104 @ sK133_SY230 ) ) )
        = $true )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1271]) ).

thf(1331,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( ~ ( b48_buttercup10104 @ sK134_X13 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK131_X9 )
                                      | ~ ( k04_buttercup10100 @ sK131_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK132_SY228 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK132_SY228 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK133_SY230 ) )
              | ~ ( b48_buttercup10104 @ sK133_SY230 ) ) )
        = $true )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1272]) ).

thf(1332,plain,
    ! [SV84: $i,SV122: $i] :
      ( ( ( b48_buttercup10104 @ SV122 )
        = $false )
      | ( ( k04_buttercup10100 @ SV122 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK127_X9 )
                                      | ~ ( k04_buttercup10100 @ sK127_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK128_SY225 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK128_SY225 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK129_SY227 ) )
              | ~ ( b48_buttercup10104 @ sK129_SY227 ) ) )
        = $true )
      | ( ( b48_buttercup10104 @ sK130_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1273]) ).

thf(1333,plain,
    ! [SV84: $i,SV132: $i] :
      ( ( ( ~ ( b48_buttercup10104 @ SV132 ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV132 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK127_X9 )
                                      | ~ ( k04_buttercup10100 @ sK127_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK128_SY225 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK128_SY225 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK129_SY227 ) )
              | ~ ( b48_buttercup10104 @ sK129_SY227 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK130_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1274]) ).

thf(1334,plain,
    ! [SV85: $i] :
      ( ( ( k04_buttercup10100 @ sK125_X13 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                                      | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK124_SY224 ) )
              | ~ ( b48_buttercup10104 @ sK124_SY224 ) ) )
        = $true )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1275]) ).

thf(1335,plain,
    ! [SV85: $i] :
      ( ( ( ~ ( b48_buttercup10104 @ sK125_X13 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                                      | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK124_SY224 ) )
              | ~ ( b48_buttercup10104 @ sK124_SY224 ) ) )
        = $true )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1276]) ).

thf(1336,plain,
    ! [SV85: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK125_X13 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                                      | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK124_SY224 ) )
              | ~ ( b48_buttercup10104 @ sK124_SY224 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1277]) ).

thf(1337,plain,
    ! [SV85: $i] :
      ( ( ( ~ ~ ( b48_buttercup10104 @ sK125_X13 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                                      | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK124_SY224 ) )
              | ~ ( b48_buttercup10104 @ sK124_SY224 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1277]) ).

thf(1338,plain,
    ! [SV86: $i,SV107: $i,SV123: $i] :
      ( ( ( b48_buttercup10110 @ SV123 )
        = $false )
      | ( ( k04_buttercup10100 @ SV123 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK68_X47 )
                                      | ~ ( k04_buttercup10100 @ sK68_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK69_SY183 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK69_SY183 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK70_SY185 ) )
              | ~ ( b48_buttercup10110 @ sK70_SY185 ) ) )
        = $true )
      | ( ( b48_buttercup10110 @ SV107 )
        = $true )
      | ( ( k04_buttercup10100 @ SV107 )
        = $false )
      | ( ( k04_buttercup10100 @ SV86 )
        = $false )
      | ( ( b48_buttercup10110 @ SV86 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1278]) ).

thf(1339,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( k04_buttercup10100 @ sK67_X51 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK64_X47 )
                                      | ~ ( k04_buttercup10100 @ sK64_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK65_SY180 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK65_SY180 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK66_SY182 ) )
              | ~ ( b48_buttercup10110 @ sK66_SY182 ) ) )
        = $true )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1279]) ).

thf(1340,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( ~ ( b48_buttercup10110 @ sK67_X51 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK64_X47 )
                                      | ~ ( k04_buttercup10100 @ sK64_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK65_SY180 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK65_SY180 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK66_SY182 ) )
              | ~ ( b48_buttercup10110 @ sK66_SY182 ) ) )
        = $true )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1280]) ).

thf(1341,plain,
    ! [SV88: $i,SV124: $i] :
      ( ( ( b48_buttercup10110 @ SV124 )
        = $false )
      | ( ( k04_buttercup10100 @ SV124 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK60_X47 )
                                      | ~ ( k04_buttercup10100 @ sK60_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK61_SY177 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK61_SY177 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK62_SY179 ) )
              | ~ ( b48_buttercup10110 @ sK62_SY179 ) ) )
        = $true )
      | ( ( b48_buttercup10110 @ sK63_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1281]) ).

thf(1342,plain,
    ! [SV88: $i,SV133: $i] :
      ( ( ( ~ ( b48_buttercup10110 @ SV133 ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV133 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK60_X47 )
                                      | ~ ( k04_buttercup10100 @ sK60_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK61_SY177 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK61_SY177 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK62_SY179 ) )
              | ~ ( b48_buttercup10110 @ sK62_SY179 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK63_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1282]) ).

thf(1343,plain,
    ! [SV89: $i] :
      ( ( ( k04_buttercup10100 @ sK58_X51 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                                      | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK57_SY176 ) )
              | ~ ( b48_buttercup10110 @ sK57_SY176 ) ) )
        = $true )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1283]) ).

thf(1344,plain,
    ! [SV89: $i] :
      ( ( ( ~ ( b48_buttercup10110 @ sK58_X51 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                                      | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK57_SY176 ) )
              | ~ ( b48_buttercup10110 @ sK57_SY176 ) ) )
        = $true )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1284]) ).

thf(1345,plain,
    ! [SV89: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK58_X51 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                                      | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK57_SY176 ) )
              | ~ ( b48_buttercup10110 @ sK57_SY176 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1285]) ).

thf(1346,plain,
    ! [SV89: $i] :
      ( ( ( ~ ~ ( b48_buttercup10110 @ sK58_X51 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                                      | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK57_SY176 ) )
              | ~ ( b48_buttercup10110 @ sK57_SY176 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1285]) ).

thf(1347,plain,
    ! [SV90: $i,SV109: $i,SV125: $i] :
      ( ( ( b48_buttercup10108 @ SV125 )
        = $false )
      | ( ( k04_buttercup10100 @ SV125 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK84_X39 )
                                      | ~ ( k04_buttercup10100 @ sK84_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK85_SY195 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK85_SY195 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK86_SY197 ) )
              | ~ ( b48_buttercup10108 @ sK86_SY197 ) ) )
        = $true )
      | ( ( b48_buttercup10108 @ SV109 )
        = $true )
      | ( ( k04_buttercup10100 @ SV109 )
        = $false )
      | ( ( k04_buttercup10100 @ SV90 )
        = $false )
      | ( ( b48_buttercup10108 @ SV90 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1286]) ).

thf(1348,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( k04_buttercup10100 @ sK83_X43 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK80_X39 )
                                      | ~ ( k04_buttercup10100 @ sK80_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK81_SY192 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK81_SY192 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK82_SY194 ) )
              | ~ ( b48_buttercup10108 @ sK82_SY194 ) ) )
        = $true )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1287]) ).

thf(1349,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( ~ ( b48_buttercup10108 @ sK83_X43 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK80_X39 )
                                      | ~ ( k04_buttercup10100 @ sK80_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK81_SY192 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK81_SY192 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK82_SY194 ) )
              | ~ ( b48_buttercup10108 @ sK82_SY194 ) ) )
        = $true )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1288]) ).

thf(1350,plain,
    ! [SV92: $i,SV126: $i] :
      ( ( ( b48_buttercup10108 @ SV126 )
        = $false )
      | ( ( k04_buttercup10100 @ SV126 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK76_X39 )
                                      | ~ ( k04_buttercup10100 @ sK76_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK77_SY189 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK77_SY189 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK78_SY191 ) )
              | ~ ( b48_buttercup10108 @ sK78_SY191 ) ) )
        = $true )
      | ( ( b48_buttercup10108 @ sK79_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1289]) ).

thf(1351,plain,
    ! [SV92: $i,SV134: $i] :
      ( ( ( ~ ( b48_buttercup10108 @ SV134 ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV134 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK76_X39 )
                                      | ~ ( k04_buttercup10100 @ sK76_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK77_SY189 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK77_SY189 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK78_SY191 ) )
              | ~ ( b48_buttercup10108 @ sK78_SY191 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK79_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1290]) ).

thf(1352,plain,
    ! [SV93: $i] :
      ( ( ( k04_buttercup10100 @ sK74_X43 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                                      | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK73_SY188 ) )
              | ~ ( b48_buttercup10108 @ sK73_SY188 ) ) )
        = $true )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1291]) ).

thf(1353,plain,
    ! [SV93: $i] :
      ( ( ( ~ ( b48_buttercup10108 @ sK74_X43 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                                      | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK73_SY188 ) )
              | ~ ( b48_buttercup10108 @ sK73_SY188 ) ) )
        = $true )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1292]) ).

thf(1354,plain,
    ! [SV93: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK74_X43 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                                      | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK73_SY188 ) )
              | ~ ( b48_buttercup10108 @ sK73_SY188 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1293]) ).

thf(1355,plain,
    ! [SV93: $i] :
      ( ( ( ~ ~ ( b48_buttercup10108 @ sK74_X43 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                                      | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK73_SY188 ) )
              | ~ ( b48_buttercup10108 @ sK73_SY188 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1293]) ).

thf(1356,plain,
    ! [SV94: $i,SV111: $i,SV127: $i] :
      ( ( ( b48_buttercup10111 @ SV127 )
        = $false )
      | ( ( k04_buttercup10619 @ SV127 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK118_X19 )
                                      | ~ ( k04_buttercup10619 @ sK118_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK119_SY219 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK119_SY219 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK120_SY221 ) )
              | ~ ( b48_buttercup10111 @ sK120_SY221 ) ) )
        = $true )
      | ( ( b48_buttercup10111 @ SV111 )
        = $true )
      | ( ( k04_buttercup10619 @ SV111 )
        = $false )
      | ( ( k04_buttercup10619 @ SV94 )
        = $false )
      | ( ( b48_buttercup10111 @ SV94 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1294]) ).

thf(1357,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( k04_buttercup10619 @ sK117_X23 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK114_X19 )
                                      | ~ ( k04_buttercup10619 @ sK114_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK115_SY216 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK115_SY216 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK116_SY218 ) )
              | ~ ( b48_buttercup10111 @ sK116_SY218 ) ) )
        = $true )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1295]) ).

thf(1358,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( ~ ( b48_buttercup10111 @ sK117_X23 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK114_X19 )
                                      | ~ ( k04_buttercup10619 @ sK114_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK115_SY216 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK115_SY216 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK116_SY218 ) )
              | ~ ( b48_buttercup10111 @ sK116_SY218 ) ) )
        = $true )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1296]) ).

thf(1359,plain,
    ! [SV96: $i,SV128: $i] :
      ( ( ( b48_buttercup10111 @ SV128 )
        = $false )
      | ( ( k04_buttercup10619 @ SV128 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK110_X19 )
                                      | ~ ( k04_buttercup10619 @ sK110_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK111_SY213 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK111_SY213 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK112_SY215 ) )
              | ~ ( b48_buttercup10111 @ sK112_SY215 ) ) )
        = $true )
      | ( ( b48_buttercup10111 @ sK113_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1297]) ).

thf(1360,plain,
    ! [SV96: $i,SV135: $i] :
      ( ( ( ~ ( b48_buttercup10111 @ SV135 ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV135 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK110_X19 )
                                      | ~ ( k04_buttercup10619 @ sK110_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK111_SY213 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK111_SY213 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK112_SY215 ) )
              | ~ ( b48_buttercup10111 @ sK112_SY215 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ sK113_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1298]) ).

thf(1361,plain,
    ! [SV97: $i] :
      ( ( ( k04_buttercup10619 @ sK108_X23 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                                      | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK107_SY212 ) )
              | ~ ( b48_buttercup10111 @ sK107_SY212 ) ) )
        = $true )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1299]) ).

thf(1362,plain,
    ! [SV97: $i] :
      ( ( ( ~ ( b48_buttercup10111 @ sK108_X23 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                                      | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK107_SY212 ) )
              | ~ ( b48_buttercup10111 @ sK107_SY212 ) ) )
        = $true )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1300]) ).

thf(1363,plain,
    ! [SV97: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK108_X23 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                                      | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK107_SY212 ) )
              | ~ ( b48_buttercup10111 @ sK107_SY212 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1301]) ).

thf(1364,plain,
    ! [SV97: $i] :
      ( ( ( ~ ~ ( b48_buttercup10111 @ sK108_X23 ) )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                                      | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK107_SY212 ) )
              | ~ ( b48_buttercup10111 @ sK107_SY212 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1301]) ).

thf(1365,plain,
    ! [SV69: $i,SV99: $i,SV115: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK48_X63 )
                                  | ~ ( k04_buttercup10100 @ sK48_X63 ) )
                            | ~ ( k04_buttercup10100 @ sK49_SY171 ) )
                      | ~ ~ ( b48_buttercup10102 @ sK49_SY171 ) )
                | ~ ~ ( k04_buttercup10100 @ sK50_SY173 ) )
          | ~ ( b48_buttercup10102 @ sK50_SY173 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV115 )
        = $true )
      | ( ( b48_buttercup10102 @ SV115 )
        = $false )
      | ( ( b48_buttercup10102 @ SV99 )
        = $true )
      | ( ( k04_buttercup10100 @ SV99 )
        = $false )
      | ( ( k04_buttercup10100 @ SV69 )
        = $false )
      | ( ( b48_buttercup10102 @ SV69 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1302]) ).

thf(1366,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK44_X63 )
                                  | ~ ( k04_buttercup10100 @ sK44_X63 ) )
                            | ~ ( k04_buttercup10100 @ sK45_SY168 ) )
                      | ~ ~ ( b48_buttercup10102 @ sK45_SY168 ) )
                | ~ ~ ( k04_buttercup10100 @ sK46_SY170 ) )
          | ~ ( b48_buttercup10102 @ sK46_SY170 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK47_X67 )
        = $true )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1303]) ).

thf(1367,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( b48_buttercup10102 @ sK47_X67 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK44_X63 )
                                      | ~ ( k04_buttercup10100 @ sK44_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK45_SY168 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK45_SY168 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK46_SY170 ) )
              | ~ ( b48_buttercup10102 @ sK46_SY170 ) ) )
        = $true )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1304]) ).

thf(1368,plain,
    ! [SV71: $i,SV116: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK40_X63 )
                                  | ~ ( k04_buttercup10100 @ sK40_X63 ) )
                            | ~ ( k04_buttercup10100 @ sK41_SY165 ) )
                      | ~ ~ ( b48_buttercup10102 @ sK41_SY165 ) )
                | ~ ~ ( k04_buttercup10100 @ sK42_SY167 ) )
          | ~ ( b48_buttercup10102 @ sK42_SY167 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV116 )
        = $true )
      | ( ( b48_buttercup10102 @ SV116 )
        = $false )
      | ( ( b48_buttercup10102 @ sK43_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1305]) ).

thf(1369,plain,
    ! [SV71: $i,SV129: $i] :
      ( ( ( b48_buttercup10102 @ SV129 )
        = $false )
      | ( ( k04_buttercup10100 @ SV129 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK40_X63 )
                                      | ~ ( k04_buttercup10100 @ sK40_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK41_SY165 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK41_SY165 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK42_SY167 ) )
              | ~ ( b48_buttercup10102 @ sK42_SY167 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK43_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1306]) ).

thf(1370,plain,
    ! [SV72: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                                  | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                            | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
                      | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) )
                | ~ ~ ( k04_buttercup10100 @ sK37_SY164 ) )
          | ~ ( b48_buttercup10102 @ sK37_SY164 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK38_X67 )
        = $true )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1307]) ).

thf(1371,plain,
    ! [SV72: $i] :
      ( ( ( b48_buttercup10102 @ sK38_X67 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                                      | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK37_SY164 ) )
              | ~ ( b48_buttercup10102 @ sK37_SY164 ) ) )
        = $true )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1308]) ).

thf(1372,plain,
    ! [SV72: $i] :
      ( ( ( k04_buttercup10100 @ sK38_X67 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                                      | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK37_SY164 ) )
              | ~ ( b48_buttercup10102 @ sK37_SY164 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1309]) ).

thf(1373,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( b48_buttercup10102 @ sK38_X67 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                                      | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK37_SY164 ) )
              | ~ ( b48_buttercup10102 @ sK37_SY164 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1310]) ).

thf(1374,plain,
    ! [SV74: $i,SV101: $i,SV117: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK101_X29 )
                                  | ~ ( k04_buttercup10619 @ sK101_X29 ) )
                            | ~ ( k04_buttercup10619 @ sK102_SY207 ) )
                      | ~ ~ ( b48_buttercup10109 @ sK102_SY207 ) )
                | ~ ~ ( k04_buttercup10619 @ sK103_SY209 ) )
          | ~ ( b48_buttercup10109 @ sK103_SY209 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV117 )
        = $true )
      | ( ( b48_buttercup10109 @ SV117 )
        = $false )
      | ( ( b48_buttercup10109 @ SV101 )
        = $true )
      | ( ( k04_buttercup10619 @ SV101 )
        = $false )
      | ( ( k04_buttercup10619 @ SV74 )
        = $false )
      | ( ( b48_buttercup10109 @ SV74 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1311]) ).

thf(1375,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK97_X29 )
                                  | ~ ( k04_buttercup10619 @ sK97_X29 ) )
                            | ~ ( k04_buttercup10619 @ sK98_SY204 ) )
                      | ~ ~ ( b48_buttercup10109 @ sK98_SY204 ) )
                | ~ ~ ( k04_buttercup10619 @ sK99_SY206 ) )
          | ~ ( b48_buttercup10109 @ sK99_SY206 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK100_X33 )
        = $true )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1312]) ).

thf(1376,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( b48_buttercup10109 @ sK100_X33 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK97_X29 )
                                      | ~ ( k04_buttercup10619 @ sK97_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK98_SY204 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK98_SY204 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK99_SY206 ) )
              | ~ ( b48_buttercup10109 @ sK99_SY206 ) ) )
        = $true )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1313]) ).

thf(1377,plain,
    ! [SV76: $i,SV118: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK93_X29 )
                                  | ~ ( k04_buttercup10619 @ sK93_X29 ) )
                            | ~ ( k04_buttercup10619 @ sK94_SY201 ) )
                      | ~ ~ ( b48_buttercup10109 @ sK94_SY201 ) )
                | ~ ~ ( k04_buttercup10619 @ sK95_SY203 ) )
          | ~ ( b48_buttercup10109 @ sK95_SY203 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV118 )
        = $true )
      | ( ( b48_buttercup10109 @ SV118 )
        = $false )
      | ( ( b48_buttercup10109 @ sK96_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1314]) ).

thf(1378,plain,
    ! [SV76: $i,SV130: $i] :
      ( ( ( b48_buttercup10109 @ SV130 )
        = $false )
      | ( ( k04_buttercup10619 @ SV130 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK93_X29 )
                                      | ~ ( k04_buttercup10619 @ sK93_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK94_SY201 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK94_SY201 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK95_SY203 ) )
              | ~ ( b48_buttercup10109 @ sK95_SY203 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ sK96_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1315]) ).

thf(1379,plain,
    ! [SV77: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                                  | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                            | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
                      | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) )
                | ~ ~ ( k04_buttercup10619 @ sK90_SY200 ) )
          | ~ ( b48_buttercup10109 @ sK90_SY200 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK91_X33 )
        = $true )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1316]) ).

thf(1380,plain,
    ! [SV77: $i] :
      ( ( ( b48_buttercup10109 @ sK91_X33 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                                      | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK90_SY200 ) )
              | ~ ( b48_buttercup10109 @ sK90_SY200 ) ) )
        = $true )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1317]) ).

thf(1381,plain,
    ! [SV77: $i] :
      ( ( ( k04_buttercup10619 @ sK91_X33 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                                      | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK90_SY200 ) )
              | ~ ( b48_buttercup10109 @ sK90_SY200 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1318]) ).

thf(1382,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( b48_buttercup10109 @ sK91_X33 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                                      | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK90_SY200 ) )
              | ~ ( b48_buttercup10109 @ sK90_SY200 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1319]) ).

thf(1383,plain,
    ! [SV78: $i,SV103: $i,SV119: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK31_X74 )
                                  | ~ ( k04_buttercup10100 @ sK31_X74 ) )
                            | ~ ( k04_buttercup10100 @ sK32_SY159 ) )
                      | ~ ~ ( b48_buttercup10107 @ sK32_SY159 ) )
                | ~ ~ ( k04_buttercup10100 @ sK33_SY161 ) )
          | ~ ( b48_buttercup10107 @ sK33_SY161 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV119 )
        = $true )
      | ( ( b48_buttercup10107 @ SV119 )
        = $false )
      | ( ( b48_buttercup10107 @ SV103 )
        = $true )
      | ( ( k04_buttercup10100 @ SV103 )
        = $false )
      | ( ( k04_buttercup10100 @ SV78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV78 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1320]) ).

thf(1384,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK27_X74 )
                                  | ~ ( k04_buttercup10100 @ sK27_X74 ) )
                            | ~ ( k04_buttercup10100 @ sK28_SY156 ) )
                      | ~ ~ ( b48_buttercup10107 @ sK28_SY156 ) )
                | ~ ~ ( k04_buttercup10100 @ sK29_SY158 ) )
          | ~ ( b48_buttercup10107 @ sK29_SY158 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK30_X78 )
        = $true )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1321]) ).

thf(1385,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( b48_buttercup10107 @ sK30_X78 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK27_X74 )
                                      | ~ ( k04_buttercup10100 @ sK27_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK28_SY156 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK28_SY156 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK29_SY158 ) )
              | ~ ( b48_buttercup10107 @ sK29_SY158 ) ) )
        = $true )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1322]) ).

thf(1386,plain,
    ! [SV80: $i,SV120: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK23_X74 )
                                  | ~ ( k04_buttercup10100 @ sK23_X74 ) )
                            | ~ ( k04_buttercup10100 @ sK24_SY153 ) )
                      | ~ ~ ( b48_buttercup10107 @ sK24_SY153 ) )
                | ~ ~ ( k04_buttercup10100 @ sK25_SY155 ) )
          | ~ ( b48_buttercup10107 @ sK25_SY155 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV120 )
        = $true )
      | ( ( b48_buttercup10107 @ SV120 )
        = $false )
      | ( ( b48_buttercup10107 @ sK26_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1323]) ).

thf(1387,plain,
    ! [SV80: $i,SV131: $i] :
      ( ( ( b48_buttercup10107 @ SV131 )
        = $false )
      | ( ( k04_buttercup10100 @ SV131 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK23_X74 )
                                      | ~ ( k04_buttercup10100 @ sK23_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK24_SY153 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK24_SY153 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK25_SY155 ) )
              | ~ ( b48_buttercup10107 @ sK25_SY155 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK26_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1324]) ).

thf(1388,plain,
    ! [SV81: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                                  | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                            | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
                      | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) )
                | ~ ~ ( k04_buttercup10100 @ sK20_SY152 ) )
          | ~ ( b48_buttercup10107 @ sK20_SY152 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK21_X78 )
        = $true )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1325]) ).

thf(1389,plain,
    ! [SV81: $i] :
      ( ( ( b48_buttercup10107 @ sK21_X78 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                                      | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK20_SY152 ) )
              | ~ ( b48_buttercup10107 @ sK20_SY152 ) ) )
        = $true )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1326]) ).

thf(1390,plain,
    ! [SV81: $i] :
      ( ( ( k04_buttercup10100 @ sK21_X78 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                                      | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK20_SY152 ) )
              | ~ ( b48_buttercup10107 @ sK20_SY152 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1327]) ).

thf(1391,plain,
    ! [SV81: $i] :
      ( ( ( ~ ( b48_buttercup10107 @ sK21_X78 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                                      | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK20_SY152 ) )
              | ~ ( b48_buttercup10107 @ sK20_SY152 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1328]) ).

thf(1392,plain,
    ! [SV82: $i,SV105: $i,SV121: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK135_X9 )
                                  | ~ ( k04_buttercup10100 @ sK135_X9 ) )
                            | ~ ( k04_buttercup10100 @ sK136_SY231 ) )
                      | ~ ~ ( b48_buttercup10104 @ sK136_SY231 ) )
                | ~ ~ ( k04_buttercup10100 @ sK137_SY233 ) )
          | ~ ( b48_buttercup10104 @ sK137_SY233 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV121 )
        = $true )
      | ( ( b48_buttercup10104 @ SV121 )
        = $false )
      | ( ( b48_buttercup10104 @ SV105 )
        = $true )
      | ( ( k04_buttercup10100 @ SV105 )
        = $false )
      | ( ( k04_buttercup10100 @ SV82 )
        = $false )
      | ( ( b48_buttercup10104 @ SV82 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1329]) ).

thf(1393,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK131_X9 )
                                  | ~ ( k04_buttercup10100 @ sK131_X9 ) )
                            | ~ ( k04_buttercup10100 @ sK132_SY228 ) )
                      | ~ ~ ( b48_buttercup10104 @ sK132_SY228 ) )
                | ~ ~ ( k04_buttercup10100 @ sK133_SY230 ) )
          | ~ ( b48_buttercup10104 @ sK133_SY230 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK134_X13 )
        = $true )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1330]) ).

thf(1394,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( b48_buttercup10104 @ sK134_X13 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK131_X9 )
                                      | ~ ( k04_buttercup10100 @ sK131_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK132_SY228 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK132_SY228 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK133_SY230 ) )
              | ~ ( b48_buttercup10104 @ sK133_SY230 ) ) )
        = $true )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1331]) ).

thf(1395,plain,
    ! [SV84: $i,SV122: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK127_X9 )
                                  | ~ ( k04_buttercup10100 @ sK127_X9 ) )
                            | ~ ( k04_buttercup10100 @ sK128_SY225 ) )
                      | ~ ~ ( b48_buttercup10104 @ sK128_SY225 ) )
                | ~ ~ ( k04_buttercup10100 @ sK129_SY227 ) )
          | ~ ( b48_buttercup10104 @ sK129_SY227 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV122 )
        = $true )
      | ( ( b48_buttercup10104 @ SV122 )
        = $false )
      | ( ( b48_buttercup10104 @ sK130_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1332]) ).

thf(1396,plain,
    ! [SV84: $i,SV132: $i] :
      ( ( ( b48_buttercup10104 @ SV132 )
        = $false )
      | ( ( k04_buttercup10100 @ SV132 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK127_X9 )
                                      | ~ ( k04_buttercup10100 @ sK127_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK128_SY225 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK128_SY225 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK129_SY227 ) )
              | ~ ( b48_buttercup10104 @ sK129_SY227 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK130_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1333]) ).

thf(1397,plain,
    ! [SV85: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                                  | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                            | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
                      | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) )
                | ~ ~ ( k04_buttercup10100 @ sK124_SY224 ) )
          | ~ ( b48_buttercup10104 @ sK124_SY224 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK125_X13 )
        = $true )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1334]) ).

thf(1398,plain,
    ! [SV85: $i] :
      ( ( ( b48_buttercup10104 @ sK125_X13 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                                      | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK124_SY224 ) )
              | ~ ( b48_buttercup10104 @ sK124_SY224 ) ) )
        = $true )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1335]) ).

thf(1399,plain,
    ! [SV85: $i] :
      ( ( ( k04_buttercup10100 @ sK125_X13 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                                      | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK124_SY224 ) )
              | ~ ( b48_buttercup10104 @ sK124_SY224 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1336]) ).

thf(1400,plain,
    ! [SV85: $i] :
      ( ( ( ~ ( b48_buttercup10104 @ sK125_X13 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                                      | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK124_SY224 ) )
              | ~ ( b48_buttercup10104 @ sK124_SY224 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1337]) ).

thf(1401,plain,
    ! [SV86: $i,SV107: $i,SV123: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK68_X47 )
                                  | ~ ( k04_buttercup10100 @ sK68_X47 ) )
                            | ~ ( k04_buttercup10100 @ sK69_SY183 ) )
                      | ~ ~ ( b48_buttercup10110 @ sK69_SY183 ) )
                | ~ ~ ( k04_buttercup10100 @ sK70_SY185 ) )
          | ~ ( b48_buttercup10110 @ sK70_SY185 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV123 )
        = $true )
      | ( ( b48_buttercup10110 @ SV123 )
        = $false )
      | ( ( b48_buttercup10110 @ SV107 )
        = $true )
      | ( ( k04_buttercup10100 @ SV107 )
        = $false )
      | ( ( k04_buttercup10100 @ SV86 )
        = $false )
      | ( ( b48_buttercup10110 @ SV86 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1338]) ).

thf(1402,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK64_X47 )
                                  | ~ ( k04_buttercup10100 @ sK64_X47 ) )
                            | ~ ( k04_buttercup10100 @ sK65_SY180 ) )
                      | ~ ~ ( b48_buttercup10110 @ sK65_SY180 ) )
                | ~ ~ ( k04_buttercup10100 @ sK66_SY182 ) )
          | ~ ( b48_buttercup10110 @ sK66_SY182 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK67_X51 )
        = $true )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1339]) ).

thf(1403,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( b48_buttercup10110 @ sK67_X51 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK64_X47 )
                                      | ~ ( k04_buttercup10100 @ sK64_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK65_SY180 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK65_SY180 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK66_SY182 ) )
              | ~ ( b48_buttercup10110 @ sK66_SY182 ) ) )
        = $true )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1340]) ).

thf(1404,plain,
    ! [SV88: $i,SV124: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK60_X47 )
                                  | ~ ( k04_buttercup10100 @ sK60_X47 ) )
                            | ~ ( k04_buttercup10100 @ sK61_SY177 ) )
                      | ~ ~ ( b48_buttercup10110 @ sK61_SY177 ) )
                | ~ ~ ( k04_buttercup10100 @ sK62_SY179 ) )
          | ~ ( b48_buttercup10110 @ sK62_SY179 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV124 )
        = $true )
      | ( ( b48_buttercup10110 @ SV124 )
        = $false )
      | ( ( b48_buttercup10110 @ sK63_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1341]) ).

thf(1405,plain,
    ! [SV88: $i,SV133: $i] :
      ( ( ( b48_buttercup10110 @ SV133 )
        = $false )
      | ( ( k04_buttercup10100 @ SV133 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK60_X47 )
                                      | ~ ( k04_buttercup10100 @ sK60_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK61_SY177 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK61_SY177 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK62_SY179 ) )
              | ~ ( b48_buttercup10110 @ sK62_SY179 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK63_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1342]) ).

thf(1406,plain,
    ! [SV89: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                                  | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                            | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
                      | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) )
                | ~ ~ ( k04_buttercup10100 @ sK57_SY176 ) )
          | ~ ( b48_buttercup10110 @ sK57_SY176 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK58_X51 )
        = $true )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1343]) ).

thf(1407,plain,
    ! [SV89: $i] :
      ( ( ( b48_buttercup10110 @ sK58_X51 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                                      | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK57_SY176 ) )
              | ~ ( b48_buttercup10110 @ sK57_SY176 ) ) )
        = $true )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1344]) ).

thf(1408,plain,
    ! [SV89: $i] :
      ( ( ( k04_buttercup10100 @ sK58_X51 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                                      | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK57_SY176 ) )
              | ~ ( b48_buttercup10110 @ sK57_SY176 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1345]) ).

thf(1409,plain,
    ! [SV89: $i] :
      ( ( ( ~ ( b48_buttercup10110 @ sK58_X51 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                                      | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK57_SY176 ) )
              | ~ ( b48_buttercup10110 @ sK57_SY176 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1346]) ).

thf(1410,plain,
    ! [SV90: $i,SV109: $i,SV125: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK84_X39 )
                                  | ~ ( k04_buttercup10100 @ sK84_X39 ) )
                            | ~ ( k04_buttercup10100 @ sK85_SY195 ) )
                      | ~ ~ ( b48_buttercup10108 @ sK85_SY195 ) )
                | ~ ~ ( k04_buttercup10100 @ sK86_SY197 ) )
          | ~ ( b48_buttercup10108 @ sK86_SY197 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV125 )
        = $true )
      | ( ( b48_buttercup10108 @ SV125 )
        = $false )
      | ( ( b48_buttercup10108 @ SV109 )
        = $true )
      | ( ( k04_buttercup10100 @ SV109 )
        = $false )
      | ( ( k04_buttercup10100 @ SV90 )
        = $false )
      | ( ( b48_buttercup10108 @ SV90 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1347]) ).

thf(1411,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK80_X39 )
                                  | ~ ( k04_buttercup10100 @ sK80_X39 ) )
                            | ~ ( k04_buttercup10100 @ sK81_SY192 ) )
                      | ~ ~ ( b48_buttercup10108 @ sK81_SY192 ) )
                | ~ ~ ( k04_buttercup10100 @ sK82_SY194 ) )
          | ~ ( b48_buttercup10108 @ sK82_SY194 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK83_X43 )
        = $true )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1348]) ).

thf(1412,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( b48_buttercup10108 @ sK83_X43 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK80_X39 )
                                      | ~ ( k04_buttercup10100 @ sK80_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK81_SY192 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK81_SY192 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK82_SY194 ) )
              | ~ ( b48_buttercup10108 @ sK82_SY194 ) ) )
        = $true )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1349]) ).

thf(1413,plain,
    ! [SV92: $i,SV126: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK76_X39 )
                                  | ~ ( k04_buttercup10100 @ sK76_X39 ) )
                            | ~ ( k04_buttercup10100 @ sK77_SY189 ) )
                      | ~ ~ ( b48_buttercup10108 @ sK77_SY189 ) )
                | ~ ~ ( k04_buttercup10100 @ sK78_SY191 ) )
          | ~ ( b48_buttercup10108 @ sK78_SY191 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV126 )
        = $true )
      | ( ( b48_buttercup10108 @ SV126 )
        = $false )
      | ( ( b48_buttercup10108 @ sK79_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1350]) ).

thf(1414,plain,
    ! [SV92: $i,SV134: $i] :
      ( ( ( b48_buttercup10108 @ SV134 )
        = $false )
      | ( ( k04_buttercup10100 @ SV134 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK76_X39 )
                                      | ~ ( k04_buttercup10100 @ sK76_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK77_SY189 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK77_SY189 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK78_SY191 ) )
              | ~ ( b48_buttercup10108 @ sK78_SY191 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK79_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1351]) ).

thf(1415,plain,
    ! [SV93: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                                  | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                            | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
                      | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) )
                | ~ ~ ( k04_buttercup10100 @ sK73_SY188 ) )
          | ~ ( b48_buttercup10108 @ sK73_SY188 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK74_X43 )
        = $true )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1352]) ).

thf(1416,plain,
    ! [SV93: $i] :
      ( ( ( b48_buttercup10108 @ sK74_X43 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                                      | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK73_SY188 ) )
              | ~ ( b48_buttercup10108 @ sK73_SY188 ) ) )
        = $true )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1353]) ).

thf(1417,plain,
    ! [SV93: $i] :
      ( ( ( k04_buttercup10100 @ sK74_X43 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                                      | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK73_SY188 ) )
              | ~ ( b48_buttercup10108 @ sK73_SY188 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1354]) ).

thf(1418,plain,
    ! [SV93: $i] :
      ( ( ( ~ ( b48_buttercup10108 @ sK74_X43 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                                      | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK73_SY188 ) )
              | ~ ( b48_buttercup10108 @ sK73_SY188 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1355]) ).

thf(1419,plain,
    ! [SV94: $i,SV111: $i,SV127: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK118_X19 )
                                  | ~ ( k04_buttercup10619 @ sK118_X19 ) )
                            | ~ ( k04_buttercup10619 @ sK119_SY219 ) )
                      | ~ ~ ( b48_buttercup10111 @ sK119_SY219 ) )
                | ~ ~ ( k04_buttercup10619 @ sK120_SY221 ) )
          | ~ ( b48_buttercup10111 @ sK120_SY221 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV127 )
        = $true )
      | ( ( b48_buttercup10111 @ SV127 )
        = $false )
      | ( ( b48_buttercup10111 @ SV111 )
        = $true )
      | ( ( k04_buttercup10619 @ SV111 )
        = $false )
      | ( ( k04_buttercup10619 @ SV94 )
        = $false )
      | ( ( b48_buttercup10111 @ SV94 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1356]) ).

thf(1420,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK114_X19 )
                                  | ~ ( k04_buttercup10619 @ sK114_X19 ) )
                            | ~ ( k04_buttercup10619 @ sK115_SY216 ) )
                      | ~ ~ ( b48_buttercup10111 @ sK115_SY216 ) )
                | ~ ~ ( k04_buttercup10619 @ sK116_SY218 ) )
          | ~ ( b48_buttercup10111 @ sK116_SY218 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK117_X23 )
        = $true )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1357]) ).

thf(1421,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( b48_buttercup10111 @ sK117_X23 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK114_X19 )
                                      | ~ ( k04_buttercup10619 @ sK114_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK115_SY216 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK115_SY216 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK116_SY218 ) )
              | ~ ( b48_buttercup10111 @ sK116_SY218 ) ) )
        = $true )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1358]) ).

thf(1422,plain,
    ! [SV96: $i,SV128: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK110_X19 )
                                  | ~ ( k04_buttercup10619 @ sK110_X19 ) )
                            | ~ ( k04_buttercup10619 @ sK111_SY213 ) )
                      | ~ ~ ( b48_buttercup10111 @ sK111_SY213 ) )
                | ~ ~ ( k04_buttercup10619 @ sK112_SY215 ) )
          | ~ ( b48_buttercup10111 @ sK112_SY215 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV128 )
        = $true )
      | ( ( b48_buttercup10111 @ SV128 )
        = $false )
      | ( ( b48_buttercup10111 @ sK113_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1359]) ).

thf(1423,plain,
    ! [SV96: $i,SV135: $i] :
      ( ( ( b48_buttercup10111 @ SV135 )
        = $false )
      | ( ( k04_buttercup10619 @ SV135 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK110_X19 )
                                      | ~ ( k04_buttercup10619 @ sK110_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK111_SY213 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK111_SY213 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK112_SY215 ) )
              | ~ ( b48_buttercup10111 @ sK112_SY215 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ sK113_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1360]) ).

thf(1424,plain,
    ! [SV97: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                                  | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                            | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
                      | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) )
                | ~ ~ ( k04_buttercup10619 @ sK107_SY212 ) )
          | ~ ( b48_buttercup10111 @ sK107_SY212 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK108_X23 )
        = $true )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1361]) ).

thf(1425,plain,
    ! [SV97: $i] :
      ( ( ( b48_buttercup10111 @ sK108_X23 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                                      | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK107_SY212 ) )
              | ~ ( b48_buttercup10111 @ sK107_SY212 ) ) )
        = $true )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1362]) ).

thf(1426,plain,
    ! [SV97: $i] :
      ( ( ( k04_buttercup10619 @ sK108_X23 )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                                      | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK107_SY212 ) )
              | ~ ( b48_buttercup10111 @ sK107_SY212 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1363]) ).

thf(1427,plain,
    ! [SV97: $i] :
      ( ( ( ~ ( b48_buttercup10111 @ sK108_X23 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                                      | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK107_SY212 ) )
              | ~ ( b48_buttercup10111 @ sK107_SY212 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1364]) ).

thf(1428,plain,
    ! [SV69: $i,SV99: $i,SV115: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK48_X63 )
                                  | ~ ( k04_buttercup10100 @ sK48_X63 ) )
                            | ~ ( k04_buttercup10100 @ sK49_SY171 ) )
                      | ~ ~ ( b48_buttercup10102 @ sK49_SY171 ) )
                | ~ ~ ( k04_buttercup10100 @ sK50_SY173 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV115 )
        = $true )
      | ( ( b48_buttercup10102 @ SV115 )
        = $false )
      | ( ( b48_buttercup10102 @ SV99 )
        = $true )
      | ( ( k04_buttercup10100 @ SV99 )
        = $false )
      | ( ( k04_buttercup10100 @ SV69 )
        = $false )
      | ( ( b48_buttercup10102 @ SV69 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1365]) ).

thf(1429,plain,
    ! [SV69: $i,SV99: $i,SV115: $i] :
      ( ( ( ~ ( b48_buttercup10102 @ sK50_SY173 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV115 )
        = $true )
      | ( ( b48_buttercup10102 @ SV115 )
        = $false )
      | ( ( b48_buttercup10102 @ SV99 )
        = $true )
      | ( ( k04_buttercup10100 @ SV99 )
        = $false )
      | ( ( k04_buttercup10100 @ SV69 )
        = $false )
      | ( ( b48_buttercup10102 @ SV69 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1365]) ).

thf(1430,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK44_X63 )
                                  | ~ ( k04_buttercup10100 @ sK44_X63 ) )
                            | ~ ( k04_buttercup10100 @ sK45_SY168 ) )
                      | ~ ~ ( b48_buttercup10102 @ sK45_SY168 ) )
                | ~ ~ ( k04_buttercup10100 @ sK46_SY170 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK47_X67 )
        = $true )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1366]) ).

thf(1431,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( ~ ( b48_buttercup10102 @ sK46_SY170 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK47_X67 )
        = $true )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1366]) ).

thf(1432,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK44_X63 )
                                  | ~ ( k04_buttercup10100 @ sK44_X63 ) )
                            | ~ ( k04_buttercup10100 @ sK45_SY168 ) )
                      | ~ ~ ( b48_buttercup10102 @ sK45_SY168 ) )
                | ~ ~ ( k04_buttercup10100 @ sK46_SY170 ) )
          | ~ ( b48_buttercup10102 @ sK46_SY170 ) )
        = $false )
      | ( ( b48_buttercup10102 @ sK47_X67 )
        = $false )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1367]) ).

thf(1433,plain,
    ! [SV71: $i,SV116: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK40_X63 )
                                  | ~ ( k04_buttercup10100 @ sK40_X63 ) )
                            | ~ ( k04_buttercup10100 @ sK41_SY165 ) )
                      | ~ ~ ( b48_buttercup10102 @ sK41_SY165 ) )
                | ~ ~ ( k04_buttercup10100 @ sK42_SY167 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV116 )
        = $true )
      | ( ( b48_buttercup10102 @ SV116 )
        = $false )
      | ( ( b48_buttercup10102 @ sK43_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1368]) ).

thf(1434,plain,
    ! [SV71: $i,SV116: $i] :
      ( ( ( ~ ( b48_buttercup10102 @ sK42_SY167 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV116 )
        = $true )
      | ( ( b48_buttercup10102 @ SV116 )
        = $false )
      | ( ( b48_buttercup10102 @ sK43_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1368]) ).

thf(1435,plain,
    ! [SV71: $i,SV129: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK40_X63 )
                                  | ~ ( k04_buttercup10100 @ sK40_X63 ) )
                            | ~ ( k04_buttercup10100 @ sK41_SY165 ) )
                      | ~ ~ ( b48_buttercup10102 @ sK41_SY165 ) )
                | ~ ~ ( k04_buttercup10100 @ sK42_SY167 ) )
          | ~ ( b48_buttercup10102 @ sK42_SY167 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV129 )
        = $true )
      | ( ( b48_buttercup10102 @ SV129 )
        = $false )
      | ( ( k04_buttercup10100 @ sK43_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1369]) ).

thf(1436,plain,
    ! [SV72: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                                  | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                            | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
                      | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) )
                | ~ ~ ( k04_buttercup10100 @ sK37_SY164 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK38_X67 )
        = $true )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1370]) ).

thf(1437,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( b48_buttercup10102 @ sK37_SY164 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK38_X67 )
        = $true )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1370]) ).

thf(1438,plain,
    ! [SV72: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                                  | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                            | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
                      | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) )
                | ~ ~ ( k04_buttercup10100 @ sK37_SY164 ) )
          | ~ ( b48_buttercup10102 @ sK37_SY164 ) )
        = $false )
      | ( ( b48_buttercup10102 @ sK38_X67 )
        = $false )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1371]) ).

thf(1439,plain,
    ! [SV72: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                                  | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                            | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
                      | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) )
                | ~ ~ ( k04_buttercup10100 @ sK37_SY164 ) )
          | ~ ( b48_buttercup10102 @ sK37_SY164 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK38_X67 )
        = $true )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1372]) ).

thf(1440,plain,
    ! [SV72: $i] :
      ( ( ( b48_buttercup10102 @ sK38_X67 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                                      | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                                | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
                          | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK37_SY164 ) )
              | ~ ( b48_buttercup10102 @ sK37_SY164 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1373]) ).

thf(1441,plain,
    ! [SV74: $i,SV101: $i,SV117: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK101_X29 )
                                  | ~ ( k04_buttercup10619 @ sK101_X29 ) )
                            | ~ ( k04_buttercup10619 @ sK102_SY207 ) )
                      | ~ ~ ( b48_buttercup10109 @ sK102_SY207 ) )
                | ~ ~ ( k04_buttercup10619 @ sK103_SY209 ) ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV117 )
        = $true )
      | ( ( b48_buttercup10109 @ SV117 )
        = $false )
      | ( ( b48_buttercup10109 @ SV101 )
        = $true )
      | ( ( k04_buttercup10619 @ SV101 )
        = $false )
      | ( ( k04_buttercup10619 @ SV74 )
        = $false )
      | ( ( b48_buttercup10109 @ SV74 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1374]) ).

thf(1442,plain,
    ! [SV74: $i,SV101: $i,SV117: $i] :
      ( ( ( ~ ( b48_buttercup10109 @ sK103_SY209 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV117 )
        = $true )
      | ( ( b48_buttercup10109 @ SV117 )
        = $false )
      | ( ( b48_buttercup10109 @ SV101 )
        = $true )
      | ( ( k04_buttercup10619 @ SV101 )
        = $false )
      | ( ( k04_buttercup10619 @ SV74 )
        = $false )
      | ( ( b48_buttercup10109 @ SV74 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1374]) ).

thf(1443,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK97_X29 )
                                  | ~ ( k04_buttercup10619 @ sK97_X29 ) )
                            | ~ ( k04_buttercup10619 @ sK98_SY204 ) )
                      | ~ ~ ( b48_buttercup10109 @ sK98_SY204 ) )
                | ~ ~ ( k04_buttercup10619 @ sK99_SY206 ) ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK100_X33 )
        = $true )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1375]) ).

thf(1444,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( ~ ( b48_buttercup10109 @ sK99_SY206 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK100_X33 )
        = $true )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1375]) ).

thf(1445,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK97_X29 )
                                  | ~ ( k04_buttercup10619 @ sK97_X29 ) )
                            | ~ ( k04_buttercup10619 @ sK98_SY204 ) )
                      | ~ ~ ( b48_buttercup10109 @ sK98_SY204 ) )
                | ~ ~ ( k04_buttercup10619 @ sK99_SY206 ) )
          | ~ ( b48_buttercup10109 @ sK99_SY206 ) )
        = $false )
      | ( ( b48_buttercup10109 @ sK100_X33 )
        = $false )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1376]) ).

thf(1446,plain,
    ! [SV76: $i,SV118: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK93_X29 )
                                  | ~ ( k04_buttercup10619 @ sK93_X29 ) )
                            | ~ ( k04_buttercup10619 @ sK94_SY201 ) )
                      | ~ ~ ( b48_buttercup10109 @ sK94_SY201 ) )
                | ~ ~ ( k04_buttercup10619 @ sK95_SY203 ) ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV118 )
        = $true )
      | ( ( b48_buttercup10109 @ SV118 )
        = $false )
      | ( ( b48_buttercup10109 @ sK96_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1377]) ).

thf(1447,plain,
    ! [SV76: $i,SV118: $i] :
      ( ( ( ~ ( b48_buttercup10109 @ sK95_SY203 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV118 )
        = $true )
      | ( ( b48_buttercup10109 @ SV118 )
        = $false )
      | ( ( b48_buttercup10109 @ sK96_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1377]) ).

thf(1448,plain,
    ! [SV76: $i,SV130: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK93_X29 )
                                  | ~ ( k04_buttercup10619 @ sK93_X29 ) )
                            | ~ ( k04_buttercup10619 @ sK94_SY201 ) )
                      | ~ ~ ( b48_buttercup10109 @ sK94_SY201 ) )
                | ~ ~ ( k04_buttercup10619 @ sK95_SY203 ) )
          | ~ ( b48_buttercup10109 @ sK95_SY203 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV130 )
        = $true )
      | ( ( b48_buttercup10109 @ SV130 )
        = $false )
      | ( ( k04_buttercup10619 @ sK96_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1378]) ).

thf(1449,plain,
    ! [SV77: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                                  | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                            | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
                      | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) )
                | ~ ~ ( k04_buttercup10619 @ sK90_SY200 ) ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK91_X33 )
        = $true )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1379]) ).

thf(1450,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( b48_buttercup10109 @ sK90_SY200 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK91_X33 )
        = $true )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1379]) ).

thf(1451,plain,
    ! [SV77: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                                  | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                            | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
                      | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) )
                | ~ ~ ( k04_buttercup10619 @ sK90_SY200 ) )
          | ~ ( b48_buttercup10109 @ sK90_SY200 ) )
        = $false )
      | ( ( b48_buttercup10109 @ sK91_X33 )
        = $false )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1380]) ).

thf(1452,plain,
    ! [SV77: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                                  | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                            | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
                      | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) )
                | ~ ~ ( k04_buttercup10619 @ sK90_SY200 ) )
          | ~ ( b48_buttercup10109 @ sK90_SY200 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK91_X33 )
        = $true )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1381]) ).

thf(1453,plain,
    ! [SV77: $i] :
      ( ( ( b48_buttercup10109 @ sK91_X33 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                                      | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                                | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
                          | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK90_SY200 ) )
              | ~ ( b48_buttercup10109 @ sK90_SY200 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1382]) ).

thf(1454,plain,
    ! [SV78: $i,SV103: $i,SV119: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK31_X74 )
                                  | ~ ( k04_buttercup10100 @ sK31_X74 ) )
                            | ~ ( k04_buttercup10100 @ sK32_SY159 ) )
                      | ~ ~ ( b48_buttercup10107 @ sK32_SY159 ) )
                | ~ ~ ( k04_buttercup10100 @ sK33_SY161 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV119 )
        = $true )
      | ( ( b48_buttercup10107 @ SV119 )
        = $false )
      | ( ( b48_buttercup10107 @ SV103 )
        = $true )
      | ( ( k04_buttercup10100 @ SV103 )
        = $false )
      | ( ( k04_buttercup10100 @ SV78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV78 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1383]) ).

thf(1455,plain,
    ! [SV78: $i,SV103: $i,SV119: $i] :
      ( ( ( ~ ( b48_buttercup10107 @ sK33_SY161 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV119 )
        = $true )
      | ( ( b48_buttercup10107 @ SV119 )
        = $false )
      | ( ( b48_buttercup10107 @ SV103 )
        = $true )
      | ( ( k04_buttercup10100 @ SV103 )
        = $false )
      | ( ( k04_buttercup10100 @ SV78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV78 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1383]) ).

thf(1456,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK27_X74 )
                                  | ~ ( k04_buttercup10100 @ sK27_X74 ) )
                            | ~ ( k04_buttercup10100 @ sK28_SY156 ) )
                      | ~ ~ ( b48_buttercup10107 @ sK28_SY156 ) )
                | ~ ~ ( k04_buttercup10100 @ sK29_SY158 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK30_X78 )
        = $true )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1384]) ).

thf(1457,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( ~ ( b48_buttercup10107 @ sK29_SY158 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK30_X78 )
        = $true )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1384]) ).

thf(1458,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK27_X74 )
                                  | ~ ( k04_buttercup10100 @ sK27_X74 ) )
                            | ~ ( k04_buttercup10100 @ sK28_SY156 ) )
                      | ~ ~ ( b48_buttercup10107 @ sK28_SY156 ) )
                | ~ ~ ( k04_buttercup10100 @ sK29_SY158 ) )
          | ~ ( b48_buttercup10107 @ sK29_SY158 ) )
        = $false )
      | ( ( b48_buttercup10107 @ sK30_X78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1385]) ).

thf(1459,plain,
    ! [SV80: $i,SV120: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK23_X74 )
                                  | ~ ( k04_buttercup10100 @ sK23_X74 ) )
                            | ~ ( k04_buttercup10100 @ sK24_SY153 ) )
                      | ~ ~ ( b48_buttercup10107 @ sK24_SY153 ) )
                | ~ ~ ( k04_buttercup10100 @ sK25_SY155 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV120 )
        = $true )
      | ( ( b48_buttercup10107 @ SV120 )
        = $false )
      | ( ( b48_buttercup10107 @ sK26_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1386]) ).

thf(1460,plain,
    ! [SV80: $i,SV120: $i] :
      ( ( ( ~ ( b48_buttercup10107 @ sK25_SY155 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV120 )
        = $true )
      | ( ( b48_buttercup10107 @ SV120 )
        = $false )
      | ( ( b48_buttercup10107 @ sK26_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1386]) ).

thf(1461,plain,
    ! [SV80: $i,SV131: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK23_X74 )
                                  | ~ ( k04_buttercup10100 @ sK23_X74 ) )
                            | ~ ( k04_buttercup10100 @ sK24_SY153 ) )
                      | ~ ~ ( b48_buttercup10107 @ sK24_SY153 ) )
                | ~ ~ ( k04_buttercup10100 @ sK25_SY155 ) )
          | ~ ( b48_buttercup10107 @ sK25_SY155 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV131 )
        = $true )
      | ( ( b48_buttercup10107 @ SV131 )
        = $false )
      | ( ( k04_buttercup10100 @ sK26_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1387]) ).

thf(1462,plain,
    ! [SV81: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                                  | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                            | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
                      | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) )
                | ~ ~ ( k04_buttercup10100 @ sK20_SY152 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK21_X78 )
        = $true )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1388]) ).

thf(1463,plain,
    ! [SV81: $i] :
      ( ( ( ~ ( b48_buttercup10107 @ sK20_SY152 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK21_X78 )
        = $true )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1388]) ).

thf(1464,plain,
    ! [SV81: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                                  | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                            | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
                      | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) )
                | ~ ~ ( k04_buttercup10100 @ sK20_SY152 ) )
          | ~ ( b48_buttercup10107 @ sK20_SY152 ) )
        = $false )
      | ( ( b48_buttercup10107 @ sK21_X78 )
        = $false )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1389]) ).

thf(1465,plain,
    ! [SV81: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                                  | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                            | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
                      | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) )
                | ~ ~ ( k04_buttercup10100 @ sK20_SY152 ) )
          | ~ ( b48_buttercup10107 @ sK20_SY152 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK21_X78 )
        = $true )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1390]) ).

thf(1466,plain,
    ! [SV81: $i] :
      ( ( ( b48_buttercup10107 @ sK21_X78 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                                      | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                                | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
                          | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK20_SY152 ) )
              | ~ ( b48_buttercup10107 @ sK20_SY152 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1391]) ).

thf(1467,plain,
    ! [SV82: $i,SV105: $i,SV121: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK135_X9 )
                                  | ~ ( k04_buttercup10100 @ sK135_X9 ) )
                            | ~ ( k04_buttercup10100 @ sK136_SY231 ) )
                      | ~ ~ ( b48_buttercup10104 @ sK136_SY231 ) )
                | ~ ~ ( k04_buttercup10100 @ sK137_SY233 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV121 )
        = $true )
      | ( ( b48_buttercup10104 @ SV121 )
        = $false )
      | ( ( b48_buttercup10104 @ SV105 )
        = $true )
      | ( ( k04_buttercup10100 @ SV105 )
        = $false )
      | ( ( k04_buttercup10100 @ SV82 )
        = $false )
      | ( ( b48_buttercup10104 @ SV82 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1392]) ).

thf(1468,plain,
    ! [SV82: $i,SV105: $i,SV121: $i] :
      ( ( ( ~ ( b48_buttercup10104 @ sK137_SY233 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV121 )
        = $true )
      | ( ( b48_buttercup10104 @ SV121 )
        = $false )
      | ( ( b48_buttercup10104 @ SV105 )
        = $true )
      | ( ( k04_buttercup10100 @ SV105 )
        = $false )
      | ( ( k04_buttercup10100 @ SV82 )
        = $false )
      | ( ( b48_buttercup10104 @ SV82 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1392]) ).

thf(1469,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK131_X9 )
                                  | ~ ( k04_buttercup10100 @ sK131_X9 ) )
                            | ~ ( k04_buttercup10100 @ sK132_SY228 ) )
                      | ~ ~ ( b48_buttercup10104 @ sK132_SY228 ) )
                | ~ ~ ( k04_buttercup10100 @ sK133_SY230 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK134_X13 )
        = $true )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1393]) ).

thf(1470,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( ~ ( b48_buttercup10104 @ sK133_SY230 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK134_X13 )
        = $true )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1393]) ).

thf(1471,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK131_X9 )
                                  | ~ ( k04_buttercup10100 @ sK131_X9 ) )
                            | ~ ( k04_buttercup10100 @ sK132_SY228 ) )
                      | ~ ~ ( b48_buttercup10104 @ sK132_SY228 ) )
                | ~ ~ ( k04_buttercup10100 @ sK133_SY230 ) )
          | ~ ( b48_buttercup10104 @ sK133_SY230 ) )
        = $false )
      | ( ( b48_buttercup10104 @ sK134_X13 )
        = $false )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1394]) ).

thf(1472,plain,
    ! [SV84: $i,SV122: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK127_X9 )
                                  | ~ ( k04_buttercup10100 @ sK127_X9 ) )
                            | ~ ( k04_buttercup10100 @ sK128_SY225 ) )
                      | ~ ~ ( b48_buttercup10104 @ sK128_SY225 ) )
                | ~ ~ ( k04_buttercup10100 @ sK129_SY227 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV122 )
        = $true )
      | ( ( b48_buttercup10104 @ SV122 )
        = $false )
      | ( ( b48_buttercup10104 @ sK130_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1395]) ).

thf(1473,plain,
    ! [SV84: $i,SV122: $i] :
      ( ( ( ~ ( b48_buttercup10104 @ sK129_SY227 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV122 )
        = $true )
      | ( ( b48_buttercup10104 @ SV122 )
        = $false )
      | ( ( b48_buttercup10104 @ sK130_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1395]) ).

thf(1474,plain,
    ! [SV84: $i,SV132: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK127_X9 )
                                  | ~ ( k04_buttercup10100 @ sK127_X9 ) )
                            | ~ ( k04_buttercup10100 @ sK128_SY225 ) )
                      | ~ ~ ( b48_buttercup10104 @ sK128_SY225 ) )
                | ~ ~ ( k04_buttercup10100 @ sK129_SY227 ) )
          | ~ ( b48_buttercup10104 @ sK129_SY227 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV132 )
        = $true )
      | ( ( b48_buttercup10104 @ SV132 )
        = $false )
      | ( ( k04_buttercup10100 @ sK130_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1396]) ).

thf(1475,plain,
    ! [SV85: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                                  | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                            | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
                      | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) )
                | ~ ~ ( k04_buttercup10100 @ sK124_SY224 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK125_X13 )
        = $true )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1397]) ).

thf(1476,plain,
    ! [SV85: $i] :
      ( ( ( ~ ( b48_buttercup10104 @ sK124_SY224 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK125_X13 )
        = $true )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1397]) ).

thf(1477,plain,
    ! [SV85: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                                  | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                            | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
                      | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) )
                | ~ ~ ( k04_buttercup10100 @ sK124_SY224 ) )
          | ~ ( b48_buttercup10104 @ sK124_SY224 ) )
        = $false )
      | ( ( b48_buttercup10104 @ sK125_X13 )
        = $false )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1398]) ).

thf(1478,plain,
    ! [SV85: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                                  | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                            | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
                      | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) )
                | ~ ~ ( k04_buttercup10100 @ sK124_SY224 ) )
          | ~ ( b48_buttercup10104 @ sK124_SY224 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK125_X13 )
        = $true )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1399]) ).

thf(1479,plain,
    ! [SV85: $i] :
      ( ( ( b48_buttercup10104 @ sK125_X13 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                                      | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                                | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
                          | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK124_SY224 ) )
              | ~ ( b48_buttercup10104 @ sK124_SY224 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1400]) ).

thf(1480,plain,
    ! [SV86: $i,SV107: $i,SV123: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK68_X47 )
                                  | ~ ( k04_buttercup10100 @ sK68_X47 ) )
                            | ~ ( k04_buttercup10100 @ sK69_SY183 ) )
                      | ~ ~ ( b48_buttercup10110 @ sK69_SY183 ) )
                | ~ ~ ( k04_buttercup10100 @ sK70_SY185 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV123 )
        = $true )
      | ( ( b48_buttercup10110 @ SV123 )
        = $false )
      | ( ( b48_buttercup10110 @ SV107 )
        = $true )
      | ( ( k04_buttercup10100 @ SV107 )
        = $false )
      | ( ( k04_buttercup10100 @ SV86 )
        = $false )
      | ( ( b48_buttercup10110 @ SV86 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1401]) ).

thf(1481,plain,
    ! [SV86: $i,SV107: $i,SV123: $i] :
      ( ( ( ~ ( b48_buttercup10110 @ sK70_SY185 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV123 )
        = $true )
      | ( ( b48_buttercup10110 @ SV123 )
        = $false )
      | ( ( b48_buttercup10110 @ SV107 )
        = $true )
      | ( ( k04_buttercup10100 @ SV107 )
        = $false )
      | ( ( k04_buttercup10100 @ SV86 )
        = $false )
      | ( ( b48_buttercup10110 @ SV86 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1401]) ).

thf(1482,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK64_X47 )
                                  | ~ ( k04_buttercup10100 @ sK64_X47 ) )
                            | ~ ( k04_buttercup10100 @ sK65_SY180 ) )
                      | ~ ~ ( b48_buttercup10110 @ sK65_SY180 ) )
                | ~ ~ ( k04_buttercup10100 @ sK66_SY182 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK67_X51 )
        = $true )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1402]) ).

thf(1483,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( ~ ( b48_buttercup10110 @ sK66_SY182 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK67_X51 )
        = $true )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1402]) ).

thf(1484,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK64_X47 )
                                  | ~ ( k04_buttercup10100 @ sK64_X47 ) )
                            | ~ ( k04_buttercup10100 @ sK65_SY180 ) )
                      | ~ ~ ( b48_buttercup10110 @ sK65_SY180 ) )
                | ~ ~ ( k04_buttercup10100 @ sK66_SY182 ) )
          | ~ ( b48_buttercup10110 @ sK66_SY182 ) )
        = $false )
      | ( ( b48_buttercup10110 @ sK67_X51 )
        = $false )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1403]) ).

thf(1485,plain,
    ! [SV88: $i,SV124: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK60_X47 )
                                  | ~ ( k04_buttercup10100 @ sK60_X47 ) )
                            | ~ ( k04_buttercup10100 @ sK61_SY177 ) )
                      | ~ ~ ( b48_buttercup10110 @ sK61_SY177 ) )
                | ~ ~ ( k04_buttercup10100 @ sK62_SY179 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV124 )
        = $true )
      | ( ( b48_buttercup10110 @ SV124 )
        = $false )
      | ( ( b48_buttercup10110 @ sK63_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1404]) ).

thf(1486,plain,
    ! [SV88: $i,SV124: $i] :
      ( ( ( ~ ( b48_buttercup10110 @ sK62_SY179 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV124 )
        = $true )
      | ( ( b48_buttercup10110 @ SV124 )
        = $false )
      | ( ( b48_buttercup10110 @ sK63_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1404]) ).

thf(1487,plain,
    ! [SV88: $i,SV133: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK60_X47 )
                                  | ~ ( k04_buttercup10100 @ sK60_X47 ) )
                            | ~ ( k04_buttercup10100 @ sK61_SY177 ) )
                      | ~ ~ ( b48_buttercup10110 @ sK61_SY177 ) )
                | ~ ~ ( k04_buttercup10100 @ sK62_SY179 ) )
          | ~ ( b48_buttercup10110 @ sK62_SY179 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV133 )
        = $true )
      | ( ( b48_buttercup10110 @ SV133 )
        = $false )
      | ( ( k04_buttercup10100 @ sK63_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1405]) ).

thf(1488,plain,
    ! [SV89: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                                  | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                            | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
                      | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) )
                | ~ ~ ( k04_buttercup10100 @ sK57_SY176 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK58_X51 )
        = $true )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1406]) ).

thf(1489,plain,
    ! [SV89: $i] :
      ( ( ( ~ ( b48_buttercup10110 @ sK57_SY176 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK58_X51 )
        = $true )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1406]) ).

thf(1490,plain,
    ! [SV89: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                                  | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                            | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
                      | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) )
                | ~ ~ ( k04_buttercup10100 @ sK57_SY176 ) )
          | ~ ( b48_buttercup10110 @ sK57_SY176 ) )
        = $false )
      | ( ( b48_buttercup10110 @ sK58_X51 )
        = $false )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1407]) ).

thf(1491,plain,
    ! [SV89: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                                  | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                            | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
                      | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) )
                | ~ ~ ( k04_buttercup10100 @ sK57_SY176 ) )
          | ~ ( b48_buttercup10110 @ sK57_SY176 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK58_X51 )
        = $true )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1408]) ).

thf(1492,plain,
    ! [SV89: $i] :
      ( ( ( b48_buttercup10110 @ sK58_X51 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                                      | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                                | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
                          | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK57_SY176 ) )
              | ~ ( b48_buttercup10110 @ sK57_SY176 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1409]) ).

thf(1493,plain,
    ! [SV90: $i,SV109: $i,SV125: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK84_X39 )
                                  | ~ ( k04_buttercup10100 @ sK84_X39 ) )
                            | ~ ( k04_buttercup10100 @ sK85_SY195 ) )
                      | ~ ~ ( b48_buttercup10108 @ sK85_SY195 ) )
                | ~ ~ ( k04_buttercup10100 @ sK86_SY197 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV125 )
        = $true )
      | ( ( b48_buttercup10108 @ SV125 )
        = $false )
      | ( ( b48_buttercup10108 @ SV109 )
        = $true )
      | ( ( k04_buttercup10100 @ SV109 )
        = $false )
      | ( ( k04_buttercup10100 @ SV90 )
        = $false )
      | ( ( b48_buttercup10108 @ SV90 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1410]) ).

thf(1494,plain,
    ! [SV90: $i,SV109: $i,SV125: $i] :
      ( ( ( ~ ( b48_buttercup10108 @ sK86_SY197 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV125 )
        = $true )
      | ( ( b48_buttercup10108 @ SV125 )
        = $false )
      | ( ( b48_buttercup10108 @ SV109 )
        = $true )
      | ( ( k04_buttercup10100 @ SV109 )
        = $false )
      | ( ( k04_buttercup10100 @ SV90 )
        = $false )
      | ( ( b48_buttercup10108 @ SV90 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1410]) ).

thf(1495,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK80_X39 )
                                  | ~ ( k04_buttercup10100 @ sK80_X39 ) )
                            | ~ ( k04_buttercup10100 @ sK81_SY192 ) )
                      | ~ ~ ( b48_buttercup10108 @ sK81_SY192 ) )
                | ~ ~ ( k04_buttercup10100 @ sK82_SY194 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK83_X43 )
        = $true )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1411]) ).

thf(1496,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( ~ ( b48_buttercup10108 @ sK82_SY194 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK83_X43 )
        = $true )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1411]) ).

thf(1497,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK80_X39 )
                                  | ~ ( k04_buttercup10100 @ sK80_X39 ) )
                            | ~ ( k04_buttercup10100 @ sK81_SY192 ) )
                      | ~ ~ ( b48_buttercup10108 @ sK81_SY192 ) )
                | ~ ~ ( k04_buttercup10100 @ sK82_SY194 ) )
          | ~ ( b48_buttercup10108 @ sK82_SY194 ) )
        = $false )
      | ( ( b48_buttercup10108 @ sK83_X43 )
        = $false )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1412]) ).

thf(1498,plain,
    ! [SV92: $i,SV126: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK76_X39 )
                                  | ~ ( k04_buttercup10100 @ sK76_X39 ) )
                            | ~ ( k04_buttercup10100 @ sK77_SY189 ) )
                      | ~ ~ ( b48_buttercup10108 @ sK77_SY189 ) )
                | ~ ~ ( k04_buttercup10100 @ sK78_SY191 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV126 )
        = $true )
      | ( ( b48_buttercup10108 @ SV126 )
        = $false )
      | ( ( b48_buttercup10108 @ sK79_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1413]) ).

thf(1499,plain,
    ! [SV92: $i,SV126: $i] :
      ( ( ( ~ ( b48_buttercup10108 @ sK78_SY191 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV126 )
        = $true )
      | ( ( b48_buttercup10108 @ SV126 )
        = $false )
      | ( ( b48_buttercup10108 @ sK79_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1413]) ).

thf(1500,plain,
    ! [SV92: $i,SV134: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK76_X39 )
                                  | ~ ( k04_buttercup10100 @ sK76_X39 ) )
                            | ~ ( k04_buttercup10100 @ sK77_SY189 ) )
                      | ~ ~ ( b48_buttercup10108 @ sK77_SY189 ) )
                | ~ ~ ( k04_buttercup10100 @ sK78_SY191 ) )
          | ~ ( b48_buttercup10108 @ sK78_SY191 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV134 )
        = $true )
      | ( ( b48_buttercup10108 @ SV134 )
        = $false )
      | ( ( k04_buttercup10100 @ sK79_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1414]) ).

thf(1501,plain,
    ! [SV93: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                                  | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                            | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
                      | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) )
                | ~ ~ ( k04_buttercup10100 @ sK73_SY188 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK74_X43 )
        = $true )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1415]) ).

thf(1502,plain,
    ! [SV93: $i] :
      ( ( ( ~ ( b48_buttercup10108 @ sK73_SY188 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK74_X43 )
        = $true )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1415]) ).

thf(1503,plain,
    ! [SV93: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                                  | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                            | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
                      | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) )
                | ~ ~ ( k04_buttercup10100 @ sK73_SY188 ) )
          | ~ ( b48_buttercup10108 @ sK73_SY188 ) )
        = $false )
      | ( ( b48_buttercup10108 @ sK74_X43 )
        = $false )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1416]) ).

thf(1504,plain,
    ! [SV93: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                                  | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                            | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
                      | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) )
                | ~ ~ ( k04_buttercup10100 @ sK73_SY188 ) )
          | ~ ( b48_buttercup10108 @ sK73_SY188 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK74_X43 )
        = $true )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1417]) ).

thf(1505,plain,
    ! [SV93: $i] :
      ( ( ( b48_buttercup10108 @ sK74_X43 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                                      | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                                | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
                          | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) )
                    | ~ ~ ( k04_buttercup10100 @ sK73_SY188 ) )
              | ~ ( b48_buttercup10108 @ sK73_SY188 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1418]) ).

thf(1506,plain,
    ! [SV94: $i,SV111: $i,SV127: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK118_X19 )
                                  | ~ ( k04_buttercup10619 @ sK118_X19 ) )
                            | ~ ( k04_buttercup10619 @ sK119_SY219 ) )
                      | ~ ~ ( b48_buttercup10111 @ sK119_SY219 ) )
                | ~ ~ ( k04_buttercup10619 @ sK120_SY221 ) ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV127 )
        = $true )
      | ( ( b48_buttercup10111 @ SV127 )
        = $false )
      | ( ( b48_buttercup10111 @ SV111 )
        = $true )
      | ( ( k04_buttercup10619 @ SV111 )
        = $false )
      | ( ( k04_buttercup10619 @ SV94 )
        = $false )
      | ( ( b48_buttercup10111 @ SV94 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1419]) ).

thf(1507,plain,
    ! [SV94: $i,SV111: $i,SV127: $i] :
      ( ( ( ~ ( b48_buttercup10111 @ sK120_SY221 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV127 )
        = $true )
      | ( ( b48_buttercup10111 @ SV127 )
        = $false )
      | ( ( b48_buttercup10111 @ SV111 )
        = $true )
      | ( ( k04_buttercup10619 @ SV111 )
        = $false )
      | ( ( k04_buttercup10619 @ SV94 )
        = $false )
      | ( ( b48_buttercup10111 @ SV94 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1419]) ).

thf(1508,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK114_X19 )
                                  | ~ ( k04_buttercup10619 @ sK114_X19 ) )
                            | ~ ( k04_buttercup10619 @ sK115_SY216 ) )
                      | ~ ~ ( b48_buttercup10111 @ sK115_SY216 ) )
                | ~ ~ ( k04_buttercup10619 @ sK116_SY218 ) ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK117_X23 )
        = $true )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1420]) ).

thf(1509,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( ~ ( b48_buttercup10111 @ sK116_SY218 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK117_X23 )
        = $true )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1420]) ).

thf(1510,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK114_X19 )
                                  | ~ ( k04_buttercup10619 @ sK114_X19 ) )
                            | ~ ( k04_buttercup10619 @ sK115_SY216 ) )
                      | ~ ~ ( b48_buttercup10111 @ sK115_SY216 ) )
                | ~ ~ ( k04_buttercup10619 @ sK116_SY218 ) )
          | ~ ( b48_buttercup10111 @ sK116_SY218 ) )
        = $false )
      | ( ( b48_buttercup10111 @ sK117_X23 )
        = $false )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1421]) ).

thf(1511,plain,
    ! [SV96: $i,SV128: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK110_X19 )
                                  | ~ ( k04_buttercup10619 @ sK110_X19 ) )
                            | ~ ( k04_buttercup10619 @ sK111_SY213 ) )
                      | ~ ~ ( b48_buttercup10111 @ sK111_SY213 ) )
                | ~ ~ ( k04_buttercup10619 @ sK112_SY215 ) ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV128 )
        = $true )
      | ( ( b48_buttercup10111 @ SV128 )
        = $false )
      | ( ( b48_buttercup10111 @ sK113_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1422]) ).

thf(1512,plain,
    ! [SV96: $i,SV128: $i] :
      ( ( ( ~ ( b48_buttercup10111 @ sK112_SY215 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV128 )
        = $true )
      | ( ( b48_buttercup10111 @ SV128 )
        = $false )
      | ( ( b48_buttercup10111 @ sK113_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1422]) ).

thf(1513,plain,
    ! [SV96: $i,SV135: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK110_X19 )
                                  | ~ ( k04_buttercup10619 @ sK110_X19 ) )
                            | ~ ( k04_buttercup10619 @ sK111_SY213 ) )
                      | ~ ~ ( b48_buttercup10111 @ sK111_SY213 ) )
                | ~ ~ ( k04_buttercup10619 @ sK112_SY215 ) )
          | ~ ( b48_buttercup10111 @ sK112_SY215 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV135 )
        = $true )
      | ( ( b48_buttercup10111 @ SV135 )
        = $false )
      | ( ( k04_buttercup10619 @ sK113_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1423]) ).

thf(1514,plain,
    ! [SV97: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                                  | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                            | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
                      | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) )
                | ~ ~ ( k04_buttercup10619 @ sK107_SY212 ) ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK108_X23 )
        = $true )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1424]) ).

thf(1515,plain,
    ! [SV97: $i] :
      ( ( ( ~ ( b48_buttercup10111 @ sK107_SY212 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK108_X23 )
        = $true )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1424]) ).

thf(1516,plain,
    ! [SV97: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                                  | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                            | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
                      | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) )
                | ~ ~ ( k04_buttercup10619 @ sK107_SY212 ) )
          | ~ ( b48_buttercup10111 @ sK107_SY212 ) )
        = $false )
      | ( ( b48_buttercup10111 @ sK108_X23 )
        = $false )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1425]) ).

thf(1517,plain,
    ! [SV97: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                                  | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                            | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
                      | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) )
                | ~ ~ ( k04_buttercup10619 @ sK107_SY212 ) )
          | ~ ( b48_buttercup10111 @ sK107_SY212 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK108_X23 )
        = $true )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1426]) ).

thf(1518,plain,
    ! [SV97: $i] :
      ( ( ( b48_buttercup10111 @ sK108_X23 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                                      | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                                | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
                          | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) )
                    | ~ ~ ( k04_buttercup10619 @ sK107_SY212 ) )
              | ~ ( b48_buttercup10111 @ sK107_SY212 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1427]) ).

thf(1519,plain,
    ! [SV69: $i,SV99: $i,SV115: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK48_X63 )
                                | ~ ( k04_buttercup10100 @ sK48_X63 ) )
                          | ~ ( k04_buttercup10100 @ sK49_SY171 ) )
                    | ~ ~ ( b48_buttercup10102 @ sK49_SY171 ) )
              | ~ ~ ( k04_buttercup10100 @ sK50_SY173 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV115 )
        = $true )
      | ( ( b48_buttercup10102 @ SV115 )
        = $false )
      | ( ( b48_buttercup10102 @ SV99 )
        = $true )
      | ( ( k04_buttercup10100 @ SV99 )
        = $false )
      | ( ( k04_buttercup10100 @ SV69 )
        = $false )
      | ( ( b48_buttercup10102 @ SV69 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1428]) ).

thf(1520,plain,
    ! [SV69: $i,SV99: $i,SV115: $i] :
      ( ( ( b48_buttercup10102 @ sK50_SY173 )
        = $true )
      | ( ( k04_buttercup10100 @ SV115 )
        = $true )
      | ( ( b48_buttercup10102 @ SV115 )
        = $false )
      | ( ( b48_buttercup10102 @ SV99 )
        = $true )
      | ( ( k04_buttercup10100 @ SV99 )
        = $false )
      | ( ( k04_buttercup10100 @ SV69 )
        = $false )
      | ( ( b48_buttercup10102 @ SV69 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1429]) ).

thf(1521,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK44_X63 )
                                | ~ ( k04_buttercup10100 @ sK44_X63 ) )
                          | ~ ( k04_buttercup10100 @ sK45_SY168 ) )
                    | ~ ~ ( b48_buttercup10102 @ sK45_SY168 ) )
              | ~ ~ ( k04_buttercup10100 @ sK46_SY170 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK47_X67 )
        = $true )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1430]) ).

thf(1522,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( b48_buttercup10102 @ sK46_SY170 )
        = $true )
      | ( ( k04_buttercup10100 @ sK47_X67 )
        = $true )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1431]) ).

thf(1523,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK44_X63 )
                                  | ~ ( k04_buttercup10100 @ sK44_X63 ) )
                            | ~ ( k04_buttercup10100 @ sK45_SY168 ) )
                      | ~ ~ ( b48_buttercup10102 @ sK45_SY168 ) )
                | ~ ~ ( k04_buttercup10100 @ sK46_SY170 ) ) )
        = $false )
      | ( ( b48_buttercup10102 @ sK47_X67 )
        = $false )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1432]) ).

thf(1524,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( ~ ( b48_buttercup10102 @ sK46_SY170 ) )
        = $false )
      | ( ( b48_buttercup10102 @ sK47_X67 )
        = $false )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1432]) ).

thf(1525,plain,
    ! [SV71: $i,SV116: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK40_X63 )
                                | ~ ( k04_buttercup10100 @ sK40_X63 ) )
                          | ~ ( k04_buttercup10100 @ sK41_SY165 ) )
                    | ~ ~ ( b48_buttercup10102 @ sK41_SY165 ) )
              | ~ ~ ( k04_buttercup10100 @ sK42_SY167 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV116 )
        = $true )
      | ( ( b48_buttercup10102 @ SV116 )
        = $false )
      | ( ( b48_buttercup10102 @ sK43_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1433]) ).

thf(1526,plain,
    ! [SV71: $i,SV116: $i] :
      ( ( ( b48_buttercup10102 @ sK42_SY167 )
        = $true )
      | ( ( k04_buttercup10100 @ SV116 )
        = $true )
      | ( ( b48_buttercup10102 @ SV116 )
        = $false )
      | ( ( b48_buttercup10102 @ sK43_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1434]) ).

thf(1527,plain,
    ! [SV71: $i,SV129: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK40_X63 )
                                  | ~ ( k04_buttercup10100 @ sK40_X63 ) )
                            | ~ ( k04_buttercup10100 @ sK41_SY165 ) )
                      | ~ ~ ( b48_buttercup10102 @ sK41_SY165 ) )
                | ~ ~ ( k04_buttercup10100 @ sK42_SY167 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV129 )
        = $true )
      | ( ( b48_buttercup10102 @ SV129 )
        = $false )
      | ( ( k04_buttercup10100 @ sK43_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1435]) ).

thf(1528,plain,
    ! [SV71: $i,SV129: $i] :
      ( ( ( ~ ( b48_buttercup10102 @ sK42_SY167 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV129 )
        = $true )
      | ( ( b48_buttercup10102 @ SV129 )
        = $false )
      | ( ( k04_buttercup10100 @ sK43_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1435]) ).

thf(1529,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                                | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                          | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
                    | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) )
              | ~ ~ ( k04_buttercup10100 @ sK37_SY164 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK38_X67 )
        = $true )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1436]) ).

thf(1530,plain,
    ! [SV72: $i] :
      ( ( ( b48_buttercup10102 @ sK37_SY164 )
        = $true )
      | ( ( k04_buttercup10100 @ sK38_X67 )
        = $true )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1437]) ).

thf(1531,plain,
    ! [SV72: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                                  | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                            | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
                      | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) )
                | ~ ~ ( k04_buttercup10100 @ sK37_SY164 ) ) )
        = $false )
      | ( ( b48_buttercup10102 @ sK38_X67 )
        = $false )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1438]) ).

thf(1532,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( b48_buttercup10102 @ sK37_SY164 ) )
        = $false )
      | ( ( b48_buttercup10102 @ sK38_X67 )
        = $false )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1438]) ).

thf(1533,plain,
    ! [SV72: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                                  | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                            | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
                      | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) )
                | ~ ~ ( k04_buttercup10100 @ sK37_SY164 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK38_X67 )
        = $true )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1439]) ).

thf(1534,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( b48_buttercup10102 @ sK37_SY164 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK38_X67 )
        = $true )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1439]) ).

thf(1535,plain,
    ! [SV72: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                                  | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                            | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
                      | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) )
                | ~ ~ ( k04_buttercup10100 @ sK37_SY164 ) )
          | ~ ( b48_buttercup10102 @ sK37_SY164 ) )
        = $false )
      | ( ( b48_buttercup10102 @ sK38_X67 )
        = $false )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1440]) ).

thf(1536,plain,
    ! [SV74: $i,SV101: $i,SV117: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK101_X29 )
                                | ~ ( k04_buttercup10619 @ sK101_X29 ) )
                          | ~ ( k04_buttercup10619 @ sK102_SY207 ) )
                    | ~ ~ ( b48_buttercup10109 @ sK102_SY207 ) )
              | ~ ~ ( k04_buttercup10619 @ sK103_SY209 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV117 )
        = $true )
      | ( ( b48_buttercup10109 @ SV117 )
        = $false )
      | ( ( b48_buttercup10109 @ SV101 )
        = $true )
      | ( ( k04_buttercup10619 @ SV101 )
        = $false )
      | ( ( k04_buttercup10619 @ SV74 )
        = $false )
      | ( ( b48_buttercup10109 @ SV74 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1441]) ).

thf(1537,plain,
    ! [SV74: $i,SV101: $i,SV117: $i] :
      ( ( ( b48_buttercup10109 @ sK103_SY209 )
        = $true )
      | ( ( k04_buttercup10619 @ SV117 )
        = $true )
      | ( ( b48_buttercup10109 @ SV117 )
        = $false )
      | ( ( b48_buttercup10109 @ SV101 )
        = $true )
      | ( ( k04_buttercup10619 @ SV101 )
        = $false )
      | ( ( k04_buttercup10619 @ SV74 )
        = $false )
      | ( ( b48_buttercup10109 @ SV74 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1442]) ).

thf(1538,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK97_X29 )
                                | ~ ( k04_buttercup10619 @ sK97_X29 ) )
                          | ~ ( k04_buttercup10619 @ sK98_SY204 ) )
                    | ~ ~ ( b48_buttercup10109 @ sK98_SY204 ) )
              | ~ ~ ( k04_buttercup10619 @ sK99_SY206 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ sK100_X33 )
        = $true )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1443]) ).

thf(1539,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( b48_buttercup10109 @ sK99_SY206 )
        = $true )
      | ( ( k04_buttercup10619 @ sK100_X33 )
        = $true )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1444]) ).

thf(1540,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK97_X29 )
                                  | ~ ( k04_buttercup10619 @ sK97_X29 ) )
                            | ~ ( k04_buttercup10619 @ sK98_SY204 ) )
                      | ~ ~ ( b48_buttercup10109 @ sK98_SY204 ) )
                | ~ ~ ( k04_buttercup10619 @ sK99_SY206 ) ) )
        = $false )
      | ( ( b48_buttercup10109 @ sK100_X33 )
        = $false )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1445]) ).

thf(1541,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( ~ ( b48_buttercup10109 @ sK99_SY206 ) )
        = $false )
      | ( ( b48_buttercup10109 @ sK100_X33 )
        = $false )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1445]) ).

thf(1542,plain,
    ! [SV76: $i,SV118: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK93_X29 )
                                | ~ ( k04_buttercup10619 @ sK93_X29 ) )
                          | ~ ( k04_buttercup10619 @ sK94_SY201 ) )
                    | ~ ~ ( b48_buttercup10109 @ sK94_SY201 ) )
              | ~ ~ ( k04_buttercup10619 @ sK95_SY203 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV118 )
        = $true )
      | ( ( b48_buttercup10109 @ SV118 )
        = $false )
      | ( ( b48_buttercup10109 @ sK96_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1446]) ).

thf(1543,plain,
    ! [SV76: $i,SV118: $i] :
      ( ( ( b48_buttercup10109 @ sK95_SY203 )
        = $true )
      | ( ( k04_buttercup10619 @ SV118 )
        = $true )
      | ( ( b48_buttercup10109 @ SV118 )
        = $false )
      | ( ( b48_buttercup10109 @ sK96_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1447]) ).

thf(1544,plain,
    ! [SV76: $i,SV130: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK93_X29 )
                                  | ~ ( k04_buttercup10619 @ sK93_X29 ) )
                            | ~ ( k04_buttercup10619 @ sK94_SY201 ) )
                      | ~ ~ ( b48_buttercup10109 @ sK94_SY201 ) )
                | ~ ~ ( k04_buttercup10619 @ sK95_SY203 ) ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV130 )
        = $true )
      | ( ( b48_buttercup10109 @ SV130 )
        = $false )
      | ( ( k04_buttercup10619 @ sK96_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1448]) ).

thf(1545,plain,
    ! [SV76: $i,SV130: $i] :
      ( ( ( ~ ( b48_buttercup10109 @ sK95_SY203 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV130 )
        = $true )
      | ( ( b48_buttercup10109 @ SV130 )
        = $false )
      | ( ( k04_buttercup10619 @ sK96_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1448]) ).

thf(1546,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                                | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                          | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
                    | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) )
              | ~ ~ ( k04_buttercup10619 @ sK90_SY200 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ sK91_X33 )
        = $true )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1449]) ).

thf(1547,plain,
    ! [SV77: $i] :
      ( ( ( b48_buttercup10109 @ sK90_SY200 )
        = $true )
      | ( ( k04_buttercup10619 @ sK91_X33 )
        = $true )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1450]) ).

thf(1548,plain,
    ! [SV77: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                                  | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                            | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
                      | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) )
                | ~ ~ ( k04_buttercup10619 @ sK90_SY200 ) ) )
        = $false )
      | ( ( b48_buttercup10109 @ sK91_X33 )
        = $false )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1451]) ).

thf(1549,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( b48_buttercup10109 @ sK90_SY200 ) )
        = $false )
      | ( ( b48_buttercup10109 @ sK91_X33 )
        = $false )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1451]) ).

thf(1550,plain,
    ! [SV77: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                                  | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                            | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
                      | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) )
                | ~ ~ ( k04_buttercup10619 @ sK90_SY200 ) ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK91_X33 )
        = $true )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1452]) ).

thf(1551,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( b48_buttercup10109 @ sK90_SY200 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK91_X33 )
        = $true )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1452]) ).

thf(1552,plain,
    ! [SV77: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                                  | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                            | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
                      | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) )
                | ~ ~ ( k04_buttercup10619 @ sK90_SY200 ) )
          | ~ ( b48_buttercup10109 @ sK90_SY200 ) )
        = $false )
      | ( ( b48_buttercup10109 @ sK91_X33 )
        = $false )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1453]) ).

thf(1553,plain,
    ! [SV78: $i,SV103: $i,SV119: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK31_X74 )
                                | ~ ( k04_buttercup10100 @ sK31_X74 ) )
                          | ~ ( k04_buttercup10100 @ sK32_SY159 ) )
                    | ~ ~ ( b48_buttercup10107 @ sK32_SY159 ) )
              | ~ ~ ( k04_buttercup10100 @ sK33_SY161 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV119 )
        = $true )
      | ( ( b48_buttercup10107 @ SV119 )
        = $false )
      | ( ( b48_buttercup10107 @ SV103 )
        = $true )
      | ( ( k04_buttercup10100 @ SV103 )
        = $false )
      | ( ( k04_buttercup10100 @ SV78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV78 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1454]) ).

thf(1554,plain,
    ! [SV78: $i,SV103: $i,SV119: $i] :
      ( ( ( b48_buttercup10107 @ sK33_SY161 )
        = $true )
      | ( ( k04_buttercup10100 @ SV119 )
        = $true )
      | ( ( b48_buttercup10107 @ SV119 )
        = $false )
      | ( ( b48_buttercup10107 @ SV103 )
        = $true )
      | ( ( k04_buttercup10100 @ SV103 )
        = $false )
      | ( ( k04_buttercup10100 @ SV78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV78 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1455]) ).

thf(1555,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK27_X74 )
                                | ~ ( k04_buttercup10100 @ sK27_X74 ) )
                          | ~ ( k04_buttercup10100 @ sK28_SY156 ) )
                    | ~ ~ ( b48_buttercup10107 @ sK28_SY156 ) )
              | ~ ~ ( k04_buttercup10100 @ sK29_SY158 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK30_X78 )
        = $true )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1456]) ).

thf(1556,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( b48_buttercup10107 @ sK29_SY158 )
        = $true )
      | ( ( k04_buttercup10100 @ sK30_X78 )
        = $true )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1457]) ).

thf(1557,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK27_X74 )
                                  | ~ ( k04_buttercup10100 @ sK27_X74 ) )
                            | ~ ( k04_buttercup10100 @ sK28_SY156 ) )
                      | ~ ~ ( b48_buttercup10107 @ sK28_SY156 ) )
                | ~ ~ ( k04_buttercup10100 @ sK29_SY158 ) ) )
        = $false )
      | ( ( b48_buttercup10107 @ sK30_X78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1458]) ).

thf(1558,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( ~ ( b48_buttercup10107 @ sK29_SY158 ) )
        = $false )
      | ( ( b48_buttercup10107 @ sK30_X78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1458]) ).

thf(1559,plain,
    ! [SV80: $i,SV120: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK23_X74 )
                                | ~ ( k04_buttercup10100 @ sK23_X74 ) )
                          | ~ ( k04_buttercup10100 @ sK24_SY153 ) )
                    | ~ ~ ( b48_buttercup10107 @ sK24_SY153 ) )
              | ~ ~ ( k04_buttercup10100 @ sK25_SY155 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV120 )
        = $true )
      | ( ( b48_buttercup10107 @ SV120 )
        = $false )
      | ( ( b48_buttercup10107 @ sK26_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1459]) ).

thf(1560,plain,
    ! [SV80: $i,SV120: $i] :
      ( ( ( b48_buttercup10107 @ sK25_SY155 )
        = $true )
      | ( ( k04_buttercup10100 @ SV120 )
        = $true )
      | ( ( b48_buttercup10107 @ SV120 )
        = $false )
      | ( ( b48_buttercup10107 @ sK26_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1460]) ).

thf(1561,plain,
    ! [SV80: $i,SV131: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK23_X74 )
                                  | ~ ( k04_buttercup10100 @ sK23_X74 ) )
                            | ~ ( k04_buttercup10100 @ sK24_SY153 ) )
                      | ~ ~ ( b48_buttercup10107 @ sK24_SY153 ) )
                | ~ ~ ( k04_buttercup10100 @ sK25_SY155 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV131 )
        = $true )
      | ( ( b48_buttercup10107 @ SV131 )
        = $false )
      | ( ( k04_buttercup10100 @ sK26_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1461]) ).

thf(1562,plain,
    ! [SV80: $i,SV131: $i] :
      ( ( ( ~ ( b48_buttercup10107 @ sK25_SY155 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV131 )
        = $true )
      | ( ( b48_buttercup10107 @ SV131 )
        = $false )
      | ( ( k04_buttercup10100 @ sK26_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1461]) ).

thf(1563,plain,
    ! [SV81: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                                | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                          | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
                    | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) )
              | ~ ~ ( k04_buttercup10100 @ sK20_SY152 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK21_X78 )
        = $true )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1462]) ).

thf(1564,plain,
    ! [SV81: $i] :
      ( ( ( b48_buttercup10107 @ sK20_SY152 )
        = $true )
      | ( ( k04_buttercup10100 @ sK21_X78 )
        = $true )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1463]) ).

thf(1565,plain,
    ! [SV81: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                                  | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                            | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
                      | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) )
                | ~ ~ ( k04_buttercup10100 @ sK20_SY152 ) ) )
        = $false )
      | ( ( b48_buttercup10107 @ sK21_X78 )
        = $false )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1464]) ).

thf(1566,plain,
    ! [SV81: $i] :
      ( ( ( ~ ( b48_buttercup10107 @ sK20_SY152 ) )
        = $false )
      | ( ( b48_buttercup10107 @ sK21_X78 )
        = $false )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1464]) ).

thf(1567,plain,
    ! [SV81: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                                  | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                            | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
                      | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) )
                | ~ ~ ( k04_buttercup10100 @ sK20_SY152 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK21_X78 )
        = $true )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1465]) ).

thf(1568,plain,
    ! [SV81: $i] :
      ( ( ( ~ ( b48_buttercup10107 @ sK20_SY152 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK21_X78 )
        = $true )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1465]) ).

thf(1569,plain,
    ! [SV81: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                                  | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                            | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
                      | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) )
                | ~ ~ ( k04_buttercup10100 @ sK20_SY152 ) )
          | ~ ( b48_buttercup10107 @ sK20_SY152 ) )
        = $false )
      | ( ( b48_buttercup10107 @ sK21_X78 )
        = $false )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1466]) ).

thf(1570,plain,
    ! [SV82: $i,SV105: $i,SV121: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK135_X9 )
                                | ~ ( k04_buttercup10100 @ sK135_X9 ) )
                          | ~ ( k04_buttercup10100 @ sK136_SY231 ) )
                    | ~ ~ ( b48_buttercup10104 @ sK136_SY231 ) )
              | ~ ~ ( k04_buttercup10100 @ sK137_SY233 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV121 )
        = $true )
      | ( ( b48_buttercup10104 @ SV121 )
        = $false )
      | ( ( b48_buttercup10104 @ SV105 )
        = $true )
      | ( ( k04_buttercup10100 @ SV105 )
        = $false )
      | ( ( k04_buttercup10100 @ SV82 )
        = $false )
      | ( ( b48_buttercup10104 @ SV82 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1467]) ).

thf(1571,plain,
    ! [SV82: $i,SV105: $i,SV121: $i] :
      ( ( ( b48_buttercup10104 @ sK137_SY233 )
        = $true )
      | ( ( k04_buttercup10100 @ SV121 )
        = $true )
      | ( ( b48_buttercup10104 @ SV121 )
        = $false )
      | ( ( b48_buttercup10104 @ SV105 )
        = $true )
      | ( ( k04_buttercup10100 @ SV105 )
        = $false )
      | ( ( k04_buttercup10100 @ SV82 )
        = $false )
      | ( ( b48_buttercup10104 @ SV82 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1468]) ).

thf(1572,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK131_X9 )
                                | ~ ( k04_buttercup10100 @ sK131_X9 ) )
                          | ~ ( k04_buttercup10100 @ sK132_SY228 ) )
                    | ~ ~ ( b48_buttercup10104 @ sK132_SY228 ) )
              | ~ ~ ( k04_buttercup10100 @ sK133_SY230 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK134_X13 )
        = $true )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1469]) ).

thf(1573,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( b48_buttercup10104 @ sK133_SY230 )
        = $true )
      | ( ( k04_buttercup10100 @ sK134_X13 )
        = $true )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1470]) ).

thf(1574,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK131_X9 )
                                  | ~ ( k04_buttercup10100 @ sK131_X9 ) )
                            | ~ ( k04_buttercup10100 @ sK132_SY228 ) )
                      | ~ ~ ( b48_buttercup10104 @ sK132_SY228 ) )
                | ~ ~ ( k04_buttercup10100 @ sK133_SY230 ) ) )
        = $false )
      | ( ( b48_buttercup10104 @ sK134_X13 )
        = $false )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1471]) ).

thf(1575,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( ~ ( b48_buttercup10104 @ sK133_SY230 ) )
        = $false )
      | ( ( b48_buttercup10104 @ sK134_X13 )
        = $false )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1471]) ).

thf(1576,plain,
    ! [SV84: $i,SV122: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK127_X9 )
                                | ~ ( k04_buttercup10100 @ sK127_X9 ) )
                          | ~ ( k04_buttercup10100 @ sK128_SY225 ) )
                    | ~ ~ ( b48_buttercup10104 @ sK128_SY225 ) )
              | ~ ~ ( k04_buttercup10100 @ sK129_SY227 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV122 )
        = $true )
      | ( ( b48_buttercup10104 @ SV122 )
        = $false )
      | ( ( b48_buttercup10104 @ sK130_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1472]) ).

thf(1577,plain,
    ! [SV84: $i,SV122: $i] :
      ( ( ( b48_buttercup10104 @ sK129_SY227 )
        = $true )
      | ( ( k04_buttercup10100 @ SV122 )
        = $true )
      | ( ( b48_buttercup10104 @ SV122 )
        = $false )
      | ( ( b48_buttercup10104 @ sK130_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1473]) ).

thf(1578,plain,
    ! [SV84: $i,SV132: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK127_X9 )
                                  | ~ ( k04_buttercup10100 @ sK127_X9 ) )
                            | ~ ( k04_buttercup10100 @ sK128_SY225 ) )
                      | ~ ~ ( b48_buttercup10104 @ sK128_SY225 ) )
                | ~ ~ ( k04_buttercup10100 @ sK129_SY227 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV132 )
        = $true )
      | ( ( b48_buttercup10104 @ SV132 )
        = $false )
      | ( ( k04_buttercup10100 @ sK130_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1474]) ).

thf(1579,plain,
    ! [SV84: $i,SV132: $i] :
      ( ( ( ~ ( b48_buttercup10104 @ sK129_SY227 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV132 )
        = $true )
      | ( ( b48_buttercup10104 @ SV132 )
        = $false )
      | ( ( k04_buttercup10100 @ sK130_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1474]) ).

thf(1580,plain,
    ! [SV85: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                                | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                          | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
                    | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) )
              | ~ ~ ( k04_buttercup10100 @ sK124_SY224 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK125_X13 )
        = $true )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1475]) ).

thf(1581,plain,
    ! [SV85: $i] :
      ( ( ( b48_buttercup10104 @ sK124_SY224 )
        = $true )
      | ( ( k04_buttercup10100 @ sK125_X13 )
        = $true )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1476]) ).

thf(1582,plain,
    ! [SV85: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                                  | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                            | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
                      | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) )
                | ~ ~ ( k04_buttercup10100 @ sK124_SY224 ) ) )
        = $false )
      | ( ( b48_buttercup10104 @ sK125_X13 )
        = $false )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1477]) ).

thf(1583,plain,
    ! [SV85: $i] :
      ( ( ( ~ ( b48_buttercup10104 @ sK124_SY224 ) )
        = $false )
      | ( ( b48_buttercup10104 @ sK125_X13 )
        = $false )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1477]) ).

thf(1584,plain,
    ! [SV85: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                                  | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                            | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
                      | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) )
                | ~ ~ ( k04_buttercup10100 @ sK124_SY224 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK125_X13 )
        = $true )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1478]) ).

thf(1585,plain,
    ! [SV85: $i] :
      ( ( ( ~ ( b48_buttercup10104 @ sK124_SY224 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK125_X13 )
        = $true )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1478]) ).

thf(1586,plain,
    ! [SV85: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                                  | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                            | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
                      | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) )
                | ~ ~ ( k04_buttercup10100 @ sK124_SY224 ) )
          | ~ ( b48_buttercup10104 @ sK124_SY224 ) )
        = $false )
      | ( ( b48_buttercup10104 @ sK125_X13 )
        = $false )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1479]) ).

thf(1587,plain,
    ! [SV86: $i,SV107: $i,SV123: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK68_X47 )
                                | ~ ( k04_buttercup10100 @ sK68_X47 ) )
                          | ~ ( k04_buttercup10100 @ sK69_SY183 ) )
                    | ~ ~ ( b48_buttercup10110 @ sK69_SY183 ) )
              | ~ ~ ( k04_buttercup10100 @ sK70_SY185 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV123 )
        = $true )
      | ( ( b48_buttercup10110 @ SV123 )
        = $false )
      | ( ( b48_buttercup10110 @ SV107 )
        = $true )
      | ( ( k04_buttercup10100 @ SV107 )
        = $false )
      | ( ( k04_buttercup10100 @ SV86 )
        = $false )
      | ( ( b48_buttercup10110 @ SV86 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1480]) ).

thf(1588,plain,
    ! [SV86: $i,SV107: $i,SV123: $i] :
      ( ( ( b48_buttercup10110 @ sK70_SY185 )
        = $true )
      | ( ( k04_buttercup10100 @ SV123 )
        = $true )
      | ( ( b48_buttercup10110 @ SV123 )
        = $false )
      | ( ( b48_buttercup10110 @ SV107 )
        = $true )
      | ( ( k04_buttercup10100 @ SV107 )
        = $false )
      | ( ( k04_buttercup10100 @ SV86 )
        = $false )
      | ( ( b48_buttercup10110 @ SV86 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1481]) ).

thf(1589,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK64_X47 )
                                | ~ ( k04_buttercup10100 @ sK64_X47 ) )
                          | ~ ( k04_buttercup10100 @ sK65_SY180 ) )
                    | ~ ~ ( b48_buttercup10110 @ sK65_SY180 ) )
              | ~ ~ ( k04_buttercup10100 @ sK66_SY182 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK67_X51 )
        = $true )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1482]) ).

thf(1590,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( b48_buttercup10110 @ sK66_SY182 )
        = $true )
      | ( ( k04_buttercup10100 @ sK67_X51 )
        = $true )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1483]) ).

thf(1591,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK64_X47 )
                                  | ~ ( k04_buttercup10100 @ sK64_X47 ) )
                            | ~ ( k04_buttercup10100 @ sK65_SY180 ) )
                      | ~ ~ ( b48_buttercup10110 @ sK65_SY180 ) )
                | ~ ~ ( k04_buttercup10100 @ sK66_SY182 ) ) )
        = $false )
      | ( ( b48_buttercup10110 @ sK67_X51 )
        = $false )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1484]) ).

thf(1592,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( ~ ( b48_buttercup10110 @ sK66_SY182 ) )
        = $false )
      | ( ( b48_buttercup10110 @ sK67_X51 )
        = $false )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1484]) ).

thf(1593,plain,
    ! [SV88: $i,SV124: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK60_X47 )
                                | ~ ( k04_buttercup10100 @ sK60_X47 ) )
                          | ~ ( k04_buttercup10100 @ sK61_SY177 ) )
                    | ~ ~ ( b48_buttercup10110 @ sK61_SY177 ) )
              | ~ ~ ( k04_buttercup10100 @ sK62_SY179 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV124 )
        = $true )
      | ( ( b48_buttercup10110 @ SV124 )
        = $false )
      | ( ( b48_buttercup10110 @ sK63_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1485]) ).

thf(1594,plain,
    ! [SV88: $i,SV124: $i] :
      ( ( ( b48_buttercup10110 @ sK62_SY179 )
        = $true )
      | ( ( k04_buttercup10100 @ SV124 )
        = $true )
      | ( ( b48_buttercup10110 @ SV124 )
        = $false )
      | ( ( b48_buttercup10110 @ sK63_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1486]) ).

thf(1595,plain,
    ! [SV88: $i,SV133: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK60_X47 )
                                  | ~ ( k04_buttercup10100 @ sK60_X47 ) )
                            | ~ ( k04_buttercup10100 @ sK61_SY177 ) )
                      | ~ ~ ( b48_buttercup10110 @ sK61_SY177 ) )
                | ~ ~ ( k04_buttercup10100 @ sK62_SY179 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV133 )
        = $true )
      | ( ( b48_buttercup10110 @ SV133 )
        = $false )
      | ( ( k04_buttercup10100 @ sK63_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1487]) ).

thf(1596,plain,
    ! [SV88: $i,SV133: $i] :
      ( ( ( ~ ( b48_buttercup10110 @ sK62_SY179 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV133 )
        = $true )
      | ( ( b48_buttercup10110 @ SV133 )
        = $false )
      | ( ( k04_buttercup10100 @ sK63_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1487]) ).

thf(1597,plain,
    ! [SV89: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                                | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                          | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
                    | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) )
              | ~ ~ ( k04_buttercup10100 @ sK57_SY176 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK58_X51 )
        = $true )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1488]) ).

thf(1598,plain,
    ! [SV89: $i] :
      ( ( ( b48_buttercup10110 @ sK57_SY176 )
        = $true )
      | ( ( k04_buttercup10100 @ sK58_X51 )
        = $true )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1489]) ).

thf(1599,plain,
    ! [SV89: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                                  | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                            | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
                      | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) )
                | ~ ~ ( k04_buttercup10100 @ sK57_SY176 ) ) )
        = $false )
      | ( ( b48_buttercup10110 @ sK58_X51 )
        = $false )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1490]) ).

thf(1600,plain,
    ! [SV89: $i] :
      ( ( ( ~ ( b48_buttercup10110 @ sK57_SY176 ) )
        = $false )
      | ( ( b48_buttercup10110 @ sK58_X51 )
        = $false )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1490]) ).

thf(1601,plain,
    ! [SV89: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                                  | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                            | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
                      | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) )
                | ~ ~ ( k04_buttercup10100 @ sK57_SY176 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK58_X51 )
        = $true )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1491]) ).

thf(1602,plain,
    ! [SV89: $i] :
      ( ( ( ~ ( b48_buttercup10110 @ sK57_SY176 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK58_X51 )
        = $true )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1491]) ).

thf(1603,plain,
    ! [SV89: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                                  | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                            | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
                      | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) )
                | ~ ~ ( k04_buttercup10100 @ sK57_SY176 ) )
          | ~ ( b48_buttercup10110 @ sK57_SY176 ) )
        = $false )
      | ( ( b48_buttercup10110 @ sK58_X51 )
        = $false )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1492]) ).

thf(1604,plain,
    ! [SV90: $i,SV109: $i,SV125: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK84_X39 )
                                | ~ ( k04_buttercup10100 @ sK84_X39 ) )
                          | ~ ( k04_buttercup10100 @ sK85_SY195 ) )
                    | ~ ~ ( b48_buttercup10108 @ sK85_SY195 ) )
              | ~ ~ ( k04_buttercup10100 @ sK86_SY197 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV125 )
        = $true )
      | ( ( b48_buttercup10108 @ SV125 )
        = $false )
      | ( ( b48_buttercup10108 @ SV109 )
        = $true )
      | ( ( k04_buttercup10100 @ SV109 )
        = $false )
      | ( ( k04_buttercup10100 @ SV90 )
        = $false )
      | ( ( b48_buttercup10108 @ SV90 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1493]) ).

thf(1605,plain,
    ! [SV90: $i,SV109: $i,SV125: $i] :
      ( ( ( b48_buttercup10108 @ sK86_SY197 )
        = $true )
      | ( ( k04_buttercup10100 @ SV125 )
        = $true )
      | ( ( b48_buttercup10108 @ SV125 )
        = $false )
      | ( ( b48_buttercup10108 @ SV109 )
        = $true )
      | ( ( k04_buttercup10100 @ SV109 )
        = $false )
      | ( ( k04_buttercup10100 @ SV90 )
        = $false )
      | ( ( b48_buttercup10108 @ SV90 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1494]) ).

thf(1606,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK80_X39 )
                                | ~ ( k04_buttercup10100 @ sK80_X39 ) )
                          | ~ ( k04_buttercup10100 @ sK81_SY192 ) )
                    | ~ ~ ( b48_buttercup10108 @ sK81_SY192 ) )
              | ~ ~ ( k04_buttercup10100 @ sK82_SY194 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK83_X43 )
        = $true )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1495]) ).

thf(1607,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( b48_buttercup10108 @ sK82_SY194 )
        = $true )
      | ( ( k04_buttercup10100 @ sK83_X43 )
        = $true )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1496]) ).

thf(1608,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK80_X39 )
                                  | ~ ( k04_buttercup10100 @ sK80_X39 ) )
                            | ~ ( k04_buttercup10100 @ sK81_SY192 ) )
                      | ~ ~ ( b48_buttercup10108 @ sK81_SY192 ) )
                | ~ ~ ( k04_buttercup10100 @ sK82_SY194 ) ) )
        = $false )
      | ( ( b48_buttercup10108 @ sK83_X43 )
        = $false )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1497]) ).

thf(1609,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( ~ ( b48_buttercup10108 @ sK82_SY194 ) )
        = $false )
      | ( ( b48_buttercup10108 @ sK83_X43 )
        = $false )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1497]) ).

thf(1610,plain,
    ! [SV92: $i,SV126: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK76_X39 )
                                | ~ ( k04_buttercup10100 @ sK76_X39 ) )
                          | ~ ( k04_buttercup10100 @ sK77_SY189 ) )
                    | ~ ~ ( b48_buttercup10108 @ sK77_SY189 ) )
              | ~ ~ ( k04_buttercup10100 @ sK78_SY191 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV126 )
        = $true )
      | ( ( b48_buttercup10108 @ SV126 )
        = $false )
      | ( ( b48_buttercup10108 @ sK79_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1498]) ).

thf(1611,plain,
    ! [SV92: $i,SV126: $i] :
      ( ( ( b48_buttercup10108 @ sK78_SY191 )
        = $true )
      | ( ( k04_buttercup10100 @ SV126 )
        = $true )
      | ( ( b48_buttercup10108 @ SV126 )
        = $false )
      | ( ( b48_buttercup10108 @ sK79_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1499]) ).

thf(1612,plain,
    ! [SV92: $i,SV134: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK76_X39 )
                                  | ~ ( k04_buttercup10100 @ sK76_X39 ) )
                            | ~ ( k04_buttercup10100 @ sK77_SY189 ) )
                      | ~ ~ ( b48_buttercup10108 @ sK77_SY189 ) )
                | ~ ~ ( k04_buttercup10100 @ sK78_SY191 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV134 )
        = $true )
      | ( ( b48_buttercup10108 @ SV134 )
        = $false )
      | ( ( k04_buttercup10100 @ sK79_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1500]) ).

thf(1613,plain,
    ! [SV92: $i,SV134: $i] :
      ( ( ( ~ ( b48_buttercup10108 @ sK78_SY191 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV134 )
        = $true )
      | ( ( b48_buttercup10108 @ SV134 )
        = $false )
      | ( ( k04_buttercup10100 @ sK79_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1500]) ).

thf(1614,plain,
    ! [SV93: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                                | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                          | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
                    | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) )
              | ~ ~ ( k04_buttercup10100 @ sK73_SY188 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK74_X43 )
        = $true )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1501]) ).

thf(1615,plain,
    ! [SV93: $i] :
      ( ( ( b48_buttercup10108 @ sK73_SY188 )
        = $true )
      | ( ( k04_buttercup10100 @ sK74_X43 )
        = $true )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1502]) ).

thf(1616,plain,
    ! [SV93: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                                  | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                            | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
                      | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) )
                | ~ ~ ( k04_buttercup10100 @ sK73_SY188 ) ) )
        = $false )
      | ( ( b48_buttercup10108 @ sK74_X43 )
        = $false )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1503]) ).

thf(1617,plain,
    ! [SV93: $i] :
      ( ( ( ~ ( b48_buttercup10108 @ sK73_SY188 ) )
        = $false )
      | ( ( b48_buttercup10108 @ sK74_X43 )
        = $false )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1503]) ).

thf(1618,plain,
    ! [SV93: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                                  | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                            | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
                      | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) )
                | ~ ~ ( k04_buttercup10100 @ sK73_SY188 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK74_X43 )
        = $true )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1504]) ).

thf(1619,plain,
    ! [SV93: $i] :
      ( ( ( ~ ( b48_buttercup10108 @ sK73_SY188 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK74_X43 )
        = $true )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1504]) ).

thf(1620,plain,
    ! [SV93: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                                  | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                            | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
                      | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) )
                | ~ ~ ( k04_buttercup10100 @ sK73_SY188 ) )
          | ~ ( b48_buttercup10108 @ sK73_SY188 ) )
        = $false )
      | ( ( b48_buttercup10108 @ sK74_X43 )
        = $false )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1505]) ).

thf(1621,plain,
    ! [SV94: $i,SV111: $i,SV127: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK118_X19 )
                                | ~ ( k04_buttercup10619 @ sK118_X19 ) )
                          | ~ ( k04_buttercup10619 @ sK119_SY219 ) )
                    | ~ ~ ( b48_buttercup10111 @ sK119_SY219 ) )
              | ~ ~ ( k04_buttercup10619 @ sK120_SY221 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV127 )
        = $true )
      | ( ( b48_buttercup10111 @ SV127 )
        = $false )
      | ( ( b48_buttercup10111 @ SV111 )
        = $true )
      | ( ( k04_buttercup10619 @ SV111 )
        = $false )
      | ( ( k04_buttercup10619 @ SV94 )
        = $false )
      | ( ( b48_buttercup10111 @ SV94 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1506]) ).

thf(1622,plain,
    ! [SV94: $i,SV111: $i,SV127: $i] :
      ( ( ( b48_buttercup10111 @ sK120_SY221 )
        = $true )
      | ( ( k04_buttercup10619 @ SV127 )
        = $true )
      | ( ( b48_buttercup10111 @ SV127 )
        = $false )
      | ( ( b48_buttercup10111 @ SV111 )
        = $true )
      | ( ( k04_buttercup10619 @ SV111 )
        = $false )
      | ( ( k04_buttercup10619 @ SV94 )
        = $false )
      | ( ( b48_buttercup10111 @ SV94 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1507]) ).

thf(1623,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK114_X19 )
                                | ~ ( k04_buttercup10619 @ sK114_X19 ) )
                          | ~ ( k04_buttercup10619 @ sK115_SY216 ) )
                    | ~ ~ ( b48_buttercup10111 @ sK115_SY216 ) )
              | ~ ~ ( k04_buttercup10619 @ sK116_SY218 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ sK117_X23 )
        = $true )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1508]) ).

thf(1624,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( b48_buttercup10111 @ sK116_SY218 )
        = $true )
      | ( ( k04_buttercup10619 @ sK117_X23 )
        = $true )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1509]) ).

thf(1625,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK114_X19 )
                                  | ~ ( k04_buttercup10619 @ sK114_X19 ) )
                            | ~ ( k04_buttercup10619 @ sK115_SY216 ) )
                      | ~ ~ ( b48_buttercup10111 @ sK115_SY216 ) )
                | ~ ~ ( k04_buttercup10619 @ sK116_SY218 ) ) )
        = $false )
      | ( ( b48_buttercup10111 @ sK117_X23 )
        = $false )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1510]) ).

thf(1626,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( ~ ( b48_buttercup10111 @ sK116_SY218 ) )
        = $false )
      | ( ( b48_buttercup10111 @ sK117_X23 )
        = $false )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1510]) ).

thf(1627,plain,
    ! [SV96: $i,SV128: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK110_X19 )
                                | ~ ( k04_buttercup10619 @ sK110_X19 ) )
                          | ~ ( k04_buttercup10619 @ sK111_SY213 ) )
                    | ~ ~ ( b48_buttercup10111 @ sK111_SY213 ) )
              | ~ ~ ( k04_buttercup10619 @ sK112_SY215 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV128 )
        = $true )
      | ( ( b48_buttercup10111 @ SV128 )
        = $false )
      | ( ( b48_buttercup10111 @ sK113_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1511]) ).

thf(1628,plain,
    ! [SV96: $i,SV128: $i] :
      ( ( ( b48_buttercup10111 @ sK112_SY215 )
        = $true )
      | ( ( k04_buttercup10619 @ SV128 )
        = $true )
      | ( ( b48_buttercup10111 @ SV128 )
        = $false )
      | ( ( b48_buttercup10111 @ sK113_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1512]) ).

thf(1629,plain,
    ! [SV96: $i,SV135: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK110_X19 )
                                  | ~ ( k04_buttercup10619 @ sK110_X19 ) )
                            | ~ ( k04_buttercup10619 @ sK111_SY213 ) )
                      | ~ ~ ( b48_buttercup10111 @ sK111_SY213 ) )
                | ~ ~ ( k04_buttercup10619 @ sK112_SY215 ) ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV135 )
        = $true )
      | ( ( b48_buttercup10111 @ SV135 )
        = $false )
      | ( ( k04_buttercup10619 @ sK113_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1513]) ).

thf(1630,plain,
    ! [SV96: $i,SV135: $i] :
      ( ( ( ~ ( b48_buttercup10111 @ sK112_SY215 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV135 )
        = $true )
      | ( ( b48_buttercup10111 @ SV135 )
        = $false )
      | ( ( k04_buttercup10619 @ sK113_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1513]) ).

thf(1631,plain,
    ! [SV97: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                                | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                          | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
                    | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) )
              | ~ ~ ( k04_buttercup10619 @ sK107_SY212 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ sK108_X23 )
        = $true )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1514]) ).

thf(1632,plain,
    ! [SV97: $i] :
      ( ( ( b48_buttercup10111 @ sK107_SY212 )
        = $true )
      | ( ( k04_buttercup10619 @ sK108_X23 )
        = $true )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1515]) ).

thf(1633,plain,
    ! [SV97: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                                  | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                            | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
                      | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) )
                | ~ ~ ( k04_buttercup10619 @ sK107_SY212 ) ) )
        = $false )
      | ( ( b48_buttercup10111 @ sK108_X23 )
        = $false )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1516]) ).

thf(1634,plain,
    ! [SV97: $i] :
      ( ( ( ~ ( b48_buttercup10111 @ sK107_SY212 ) )
        = $false )
      | ( ( b48_buttercup10111 @ sK108_X23 )
        = $false )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1516]) ).

thf(1635,plain,
    ! [SV97: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                                  | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                            | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
                      | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) )
                | ~ ~ ( k04_buttercup10619 @ sK107_SY212 ) ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK108_X23 )
        = $true )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1517]) ).

thf(1636,plain,
    ! [SV97: $i] :
      ( ( ( ~ ( b48_buttercup10111 @ sK107_SY212 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK108_X23 )
        = $true )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1517]) ).

thf(1637,plain,
    ! [SV97: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                                  | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                            | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
                      | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) )
                | ~ ~ ( k04_buttercup10619 @ sK107_SY212 ) )
          | ~ ( b48_buttercup10111 @ sK107_SY212 ) )
        = $false )
      | ( ( b48_buttercup10111 @ sK108_X23 )
        = $false )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1518]) ).

thf(1638,plain,
    ! [SV69: $i,SV99: $i,SV115: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK48_X63 )
                            | ~ ( k04_buttercup10100 @ sK48_X63 ) )
                      | ~ ( k04_buttercup10100 @ sK49_SY171 ) )
                | ~ ~ ( b48_buttercup10102 @ sK49_SY171 ) )
          | ~ ~ ( k04_buttercup10100 @ sK50_SY173 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV115 )
        = $true )
      | ( ( b48_buttercup10102 @ SV115 )
        = $false )
      | ( ( b48_buttercup10102 @ SV99 )
        = $true )
      | ( ( k04_buttercup10100 @ SV99 )
        = $false )
      | ( ( k04_buttercup10100 @ SV69 )
        = $false )
      | ( ( b48_buttercup10102 @ SV69 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1519]) ).

thf(1639,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK44_X63 )
                            | ~ ( k04_buttercup10100 @ sK44_X63 ) )
                      | ~ ( k04_buttercup10100 @ sK45_SY168 ) )
                | ~ ~ ( b48_buttercup10102 @ sK45_SY168 ) )
          | ~ ~ ( k04_buttercup10100 @ sK46_SY170 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK47_X67 )
        = $true )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1521]) ).

thf(1640,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK44_X63 )
                                | ~ ( k04_buttercup10100 @ sK44_X63 ) )
                          | ~ ( k04_buttercup10100 @ sK45_SY168 ) )
                    | ~ ~ ( b48_buttercup10102 @ sK45_SY168 ) )
              | ~ ~ ( k04_buttercup10100 @ sK46_SY170 ) ) )
        = $true )
      | ( ( b48_buttercup10102 @ sK47_X67 )
        = $false )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1523]) ).

thf(1641,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( b48_buttercup10102 @ sK46_SY170 )
        = $true )
      | ( ( b48_buttercup10102 @ sK47_X67 )
        = $false )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1524]) ).

thf(1642,plain,
    ! [SV71: $i,SV116: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK40_X63 )
                            | ~ ( k04_buttercup10100 @ sK40_X63 ) )
                      | ~ ( k04_buttercup10100 @ sK41_SY165 ) )
                | ~ ~ ( b48_buttercup10102 @ sK41_SY165 ) )
          | ~ ~ ( k04_buttercup10100 @ sK42_SY167 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV116 )
        = $true )
      | ( ( b48_buttercup10102 @ SV116 )
        = $false )
      | ( ( b48_buttercup10102 @ sK43_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1525]) ).

thf(1643,plain,
    ! [SV71: $i,SV129: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK40_X63 )
                                | ~ ( k04_buttercup10100 @ sK40_X63 ) )
                          | ~ ( k04_buttercup10100 @ sK41_SY165 ) )
                    | ~ ~ ( b48_buttercup10102 @ sK41_SY165 ) )
              | ~ ~ ( k04_buttercup10100 @ sK42_SY167 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV129 )
        = $true )
      | ( ( b48_buttercup10102 @ SV129 )
        = $false )
      | ( ( k04_buttercup10100 @ sK43_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1527]) ).

thf(1644,plain,
    ! [SV71: $i,SV129: $i] :
      ( ( ( b48_buttercup10102 @ sK42_SY167 )
        = $true )
      | ( ( k04_buttercup10100 @ SV129 )
        = $true )
      | ( ( b48_buttercup10102 @ SV129 )
        = $false )
      | ( ( k04_buttercup10100 @ sK43_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1528]) ).

thf(1645,plain,
    ! [SV72: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                            | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                      | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
                | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) )
          | ~ ~ ( k04_buttercup10100 @ sK37_SY164 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK38_X67 )
        = $true )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1529]) ).

thf(1646,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                                | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                          | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
                    | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) )
              | ~ ~ ( k04_buttercup10100 @ sK37_SY164 ) ) )
        = $true )
      | ( ( b48_buttercup10102 @ sK38_X67 )
        = $false )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1531]) ).

thf(1647,plain,
    ! [SV72: $i] :
      ( ( ( b48_buttercup10102 @ sK37_SY164 )
        = $true )
      | ( ( b48_buttercup10102 @ sK38_X67 )
        = $false )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1532]) ).

thf(1648,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                                | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                          | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
                    | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) )
              | ~ ~ ( k04_buttercup10100 @ sK37_SY164 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK38_X67 )
        = $true )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1533]) ).

thf(1649,plain,
    ! [SV72: $i] :
      ( ( ( b48_buttercup10102 @ sK37_SY164 )
        = $true )
      | ( ( k04_buttercup10100 @ sK38_X67 )
        = $true )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1534]) ).

thf(1650,plain,
    ! [SV72: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                                  | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                            | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
                      | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) )
                | ~ ~ ( k04_buttercup10100 @ sK37_SY164 ) ) )
        = $false )
      | ( ( b48_buttercup10102 @ sK38_X67 )
        = $false )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1535]) ).

thf(1651,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( b48_buttercup10102 @ sK37_SY164 ) )
        = $false )
      | ( ( b48_buttercup10102 @ sK38_X67 )
        = $false )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1535]) ).

thf(1652,plain,
    ! [SV74: $i,SV101: $i,SV117: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK101_X29 )
                            | ~ ( k04_buttercup10619 @ sK101_X29 ) )
                      | ~ ( k04_buttercup10619 @ sK102_SY207 ) )
                | ~ ~ ( b48_buttercup10109 @ sK102_SY207 ) )
          | ~ ~ ( k04_buttercup10619 @ sK103_SY209 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV117 )
        = $true )
      | ( ( b48_buttercup10109 @ SV117 )
        = $false )
      | ( ( b48_buttercup10109 @ SV101 )
        = $true )
      | ( ( k04_buttercup10619 @ SV101 )
        = $false )
      | ( ( k04_buttercup10619 @ SV74 )
        = $false )
      | ( ( b48_buttercup10109 @ SV74 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1536]) ).

thf(1653,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK97_X29 )
                            | ~ ( k04_buttercup10619 @ sK97_X29 ) )
                      | ~ ( k04_buttercup10619 @ sK98_SY204 ) )
                | ~ ~ ( b48_buttercup10109 @ sK98_SY204 ) )
          | ~ ~ ( k04_buttercup10619 @ sK99_SY206 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK100_X33 )
        = $true )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1538]) ).

thf(1654,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK97_X29 )
                                | ~ ( k04_buttercup10619 @ sK97_X29 ) )
                          | ~ ( k04_buttercup10619 @ sK98_SY204 ) )
                    | ~ ~ ( b48_buttercup10109 @ sK98_SY204 ) )
              | ~ ~ ( k04_buttercup10619 @ sK99_SY206 ) ) )
        = $true )
      | ( ( b48_buttercup10109 @ sK100_X33 )
        = $false )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1540]) ).

thf(1655,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( b48_buttercup10109 @ sK99_SY206 )
        = $true )
      | ( ( b48_buttercup10109 @ sK100_X33 )
        = $false )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1541]) ).

thf(1656,plain,
    ! [SV76: $i,SV118: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK93_X29 )
                            | ~ ( k04_buttercup10619 @ sK93_X29 ) )
                      | ~ ( k04_buttercup10619 @ sK94_SY201 ) )
                | ~ ~ ( b48_buttercup10109 @ sK94_SY201 ) )
          | ~ ~ ( k04_buttercup10619 @ sK95_SY203 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV118 )
        = $true )
      | ( ( b48_buttercup10109 @ SV118 )
        = $false )
      | ( ( b48_buttercup10109 @ sK96_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1542]) ).

thf(1657,plain,
    ! [SV76: $i,SV130: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK93_X29 )
                                | ~ ( k04_buttercup10619 @ sK93_X29 ) )
                          | ~ ( k04_buttercup10619 @ sK94_SY201 ) )
                    | ~ ~ ( b48_buttercup10109 @ sK94_SY201 ) )
              | ~ ~ ( k04_buttercup10619 @ sK95_SY203 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV130 )
        = $true )
      | ( ( b48_buttercup10109 @ SV130 )
        = $false )
      | ( ( k04_buttercup10619 @ sK96_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1544]) ).

thf(1658,plain,
    ! [SV76: $i,SV130: $i] :
      ( ( ( b48_buttercup10109 @ sK95_SY203 )
        = $true )
      | ( ( k04_buttercup10619 @ SV130 )
        = $true )
      | ( ( b48_buttercup10109 @ SV130 )
        = $false )
      | ( ( k04_buttercup10619 @ sK96_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1545]) ).

thf(1659,plain,
    ! [SV77: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                            | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                      | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
                | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) )
          | ~ ~ ( k04_buttercup10619 @ sK90_SY200 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK91_X33 )
        = $true )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1546]) ).

thf(1660,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                                | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                          | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
                    | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) )
              | ~ ~ ( k04_buttercup10619 @ sK90_SY200 ) ) )
        = $true )
      | ( ( b48_buttercup10109 @ sK91_X33 )
        = $false )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1548]) ).

thf(1661,plain,
    ! [SV77: $i] :
      ( ( ( b48_buttercup10109 @ sK90_SY200 )
        = $true )
      | ( ( b48_buttercup10109 @ sK91_X33 )
        = $false )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1549]) ).

thf(1662,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                                | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                          | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
                    | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) )
              | ~ ~ ( k04_buttercup10619 @ sK90_SY200 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ sK91_X33 )
        = $true )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1550]) ).

thf(1663,plain,
    ! [SV77: $i] :
      ( ( ( b48_buttercup10109 @ sK90_SY200 )
        = $true )
      | ( ( k04_buttercup10619 @ sK91_X33 )
        = $true )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1551]) ).

thf(1664,plain,
    ! [SV77: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                                  | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                            | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
                      | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) )
                | ~ ~ ( k04_buttercup10619 @ sK90_SY200 ) ) )
        = $false )
      | ( ( b48_buttercup10109 @ sK91_X33 )
        = $false )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1552]) ).

thf(1665,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( b48_buttercup10109 @ sK90_SY200 ) )
        = $false )
      | ( ( b48_buttercup10109 @ sK91_X33 )
        = $false )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1552]) ).

thf(1666,plain,
    ! [SV78: $i,SV103: $i,SV119: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK31_X74 )
                            | ~ ( k04_buttercup10100 @ sK31_X74 ) )
                      | ~ ( k04_buttercup10100 @ sK32_SY159 ) )
                | ~ ~ ( b48_buttercup10107 @ sK32_SY159 ) )
          | ~ ~ ( k04_buttercup10100 @ sK33_SY161 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV119 )
        = $true )
      | ( ( b48_buttercup10107 @ SV119 )
        = $false )
      | ( ( b48_buttercup10107 @ SV103 )
        = $true )
      | ( ( k04_buttercup10100 @ SV103 )
        = $false )
      | ( ( k04_buttercup10100 @ SV78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV78 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1553]) ).

thf(1667,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK27_X74 )
                            | ~ ( k04_buttercup10100 @ sK27_X74 ) )
                      | ~ ( k04_buttercup10100 @ sK28_SY156 ) )
                | ~ ~ ( b48_buttercup10107 @ sK28_SY156 ) )
          | ~ ~ ( k04_buttercup10100 @ sK29_SY158 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK30_X78 )
        = $true )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1555]) ).

thf(1668,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK27_X74 )
                                | ~ ( k04_buttercup10100 @ sK27_X74 ) )
                          | ~ ( k04_buttercup10100 @ sK28_SY156 ) )
                    | ~ ~ ( b48_buttercup10107 @ sK28_SY156 ) )
              | ~ ~ ( k04_buttercup10100 @ sK29_SY158 ) ) )
        = $true )
      | ( ( b48_buttercup10107 @ sK30_X78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1557]) ).

thf(1669,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( b48_buttercup10107 @ sK29_SY158 )
        = $true )
      | ( ( b48_buttercup10107 @ sK30_X78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1558]) ).

thf(1670,plain,
    ! [SV80: $i,SV120: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK23_X74 )
                            | ~ ( k04_buttercup10100 @ sK23_X74 ) )
                      | ~ ( k04_buttercup10100 @ sK24_SY153 ) )
                | ~ ~ ( b48_buttercup10107 @ sK24_SY153 ) )
          | ~ ~ ( k04_buttercup10100 @ sK25_SY155 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV120 )
        = $true )
      | ( ( b48_buttercup10107 @ SV120 )
        = $false )
      | ( ( b48_buttercup10107 @ sK26_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1559]) ).

thf(1671,plain,
    ! [SV80: $i,SV131: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK23_X74 )
                                | ~ ( k04_buttercup10100 @ sK23_X74 ) )
                          | ~ ( k04_buttercup10100 @ sK24_SY153 ) )
                    | ~ ~ ( b48_buttercup10107 @ sK24_SY153 ) )
              | ~ ~ ( k04_buttercup10100 @ sK25_SY155 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV131 )
        = $true )
      | ( ( b48_buttercup10107 @ SV131 )
        = $false )
      | ( ( k04_buttercup10100 @ sK26_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1561]) ).

thf(1672,plain,
    ! [SV80: $i,SV131: $i] :
      ( ( ( b48_buttercup10107 @ sK25_SY155 )
        = $true )
      | ( ( k04_buttercup10100 @ SV131 )
        = $true )
      | ( ( b48_buttercup10107 @ SV131 )
        = $false )
      | ( ( k04_buttercup10100 @ sK26_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1562]) ).

thf(1673,plain,
    ! [SV81: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                            | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                      | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
                | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) )
          | ~ ~ ( k04_buttercup10100 @ sK20_SY152 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK21_X78 )
        = $true )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1563]) ).

thf(1674,plain,
    ! [SV81: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                                | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                          | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
                    | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) )
              | ~ ~ ( k04_buttercup10100 @ sK20_SY152 ) ) )
        = $true )
      | ( ( b48_buttercup10107 @ sK21_X78 )
        = $false )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1565]) ).

thf(1675,plain,
    ! [SV81: $i] :
      ( ( ( b48_buttercup10107 @ sK20_SY152 )
        = $true )
      | ( ( b48_buttercup10107 @ sK21_X78 )
        = $false )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1566]) ).

thf(1676,plain,
    ! [SV81: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                                | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                          | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
                    | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) )
              | ~ ~ ( k04_buttercup10100 @ sK20_SY152 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK21_X78 )
        = $true )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1567]) ).

thf(1677,plain,
    ! [SV81: $i] :
      ( ( ( b48_buttercup10107 @ sK20_SY152 )
        = $true )
      | ( ( k04_buttercup10100 @ sK21_X78 )
        = $true )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1568]) ).

thf(1678,plain,
    ! [SV81: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                                  | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                            | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
                      | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) )
                | ~ ~ ( k04_buttercup10100 @ sK20_SY152 ) ) )
        = $false )
      | ( ( b48_buttercup10107 @ sK21_X78 )
        = $false )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1569]) ).

thf(1679,plain,
    ! [SV81: $i] :
      ( ( ( ~ ( b48_buttercup10107 @ sK20_SY152 ) )
        = $false )
      | ( ( b48_buttercup10107 @ sK21_X78 )
        = $false )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1569]) ).

thf(1680,plain,
    ! [SV82: $i,SV105: $i,SV121: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK135_X9 )
                            | ~ ( k04_buttercup10100 @ sK135_X9 ) )
                      | ~ ( k04_buttercup10100 @ sK136_SY231 ) )
                | ~ ~ ( b48_buttercup10104 @ sK136_SY231 ) )
          | ~ ~ ( k04_buttercup10100 @ sK137_SY233 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV121 )
        = $true )
      | ( ( b48_buttercup10104 @ SV121 )
        = $false )
      | ( ( b48_buttercup10104 @ SV105 )
        = $true )
      | ( ( k04_buttercup10100 @ SV105 )
        = $false )
      | ( ( k04_buttercup10100 @ SV82 )
        = $false )
      | ( ( b48_buttercup10104 @ SV82 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1570]) ).

thf(1681,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK131_X9 )
                            | ~ ( k04_buttercup10100 @ sK131_X9 ) )
                      | ~ ( k04_buttercup10100 @ sK132_SY228 ) )
                | ~ ~ ( b48_buttercup10104 @ sK132_SY228 ) )
          | ~ ~ ( k04_buttercup10100 @ sK133_SY230 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK134_X13 )
        = $true )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1572]) ).

thf(1682,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK131_X9 )
                                | ~ ( k04_buttercup10100 @ sK131_X9 ) )
                          | ~ ( k04_buttercup10100 @ sK132_SY228 ) )
                    | ~ ~ ( b48_buttercup10104 @ sK132_SY228 ) )
              | ~ ~ ( k04_buttercup10100 @ sK133_SY230 ) ) )
        = $true )
      | ( ( b48_buttercup10104 @ sK134_X13 )
        = $false )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1574]) ).

thf(1683,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( b48_buttercup10104 @ sK133_SY230 )
        = $true )
      | ( ( b48_buttercup10104 @ sK134_X13 )
        = $false )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1575]) ).

thf(1684,plain,
    ! [SV84: $i,SV122: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK127_X9 )
                            | ~ ( k04_buttercup10100 @ sK127_X9 ) )
                      | ~ ( k04_buttercup10100 @ sK128_SY225 ) )
                | ~ ~ ( b48_buttercup10104 @ sK128_SY225 ) )
          | ~ ~ ( k04_buttercup10100 @ sK129_SY227 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV122 )
        = $true )
      | ( ( b48_buttercup10104 @ SV122 )
        = $false )
      | ( ( b48_buttercup10104 @ sK130_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1576]) ).

thf(1685,plain,
    ! [SV84: $i,SV132: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK127_X9 )
                                | ~ ( k04_buttercup10100 @ sK127_X9 ) )
                          | ~ ( k04_buttercup10100 @ sK128_SY225 ) )
                    | ~ ~ ( b48_buttercup10104 @ sK128_SY225 ) )
              | ~ ~ ( k04_buttercup10100 @ sK129_SY227 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV132 )
        = $true )
      | ( ( b48_buttercup10104 @ SV132 )
        = $false )
      | ( ( k04_buttercup10100 @ sK130_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1578]) ).

thf(1686,plain,
    ! [SV84: $i,SV132: $i] :
      ( ( ( b48_buttercup10104 @ sK129_SY227 )
        = $true )
      | ( ( k04_buttercup10100 @ SV132 )
        = $true )
      | ( ( b48_buttercup10104 @ SV132 )
        = $false )
      | ( ( k04_buttercup10100 @ sK130_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1579]) ).

thf(1687,plain,
    ! [SV85: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                            | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                      | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
                | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) )
          | ~ ~ ( k04_buttercup10100 @ sK124_SY224 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK125_X13 )
        = $true )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1580]) ).

thf(1688,plain,
    ! [SV85: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                                | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                          | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
                    | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) )
              | ~ ~ ( k04_buttercup10100 @ sK124_SY224 ) ) )
        = $true )
      | ( ( b48_buttercup10104 @ sK125_X13 )
        = $false )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1582]) ).

thf(1689,plain,
    ! [SV85: $i] :
      ( ( ( b48_buttercup10104 @ sK124_SY224 )
        = $true )
      | ( ( b48_buttercup10104 @ sK125_X13 )
        = $false )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1583]) ).

thf(1690,plain,
    ! [SV85: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                                | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                          | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
                    | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) )
              | ~ ~ ( k04_buttercup10100 @ sK124_SY224 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK125_X13 )
        = $true )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1584]) ).

thf(1691,plain,
    ! [SV85: $i] :
      ( ( ( b48_buttercup10104 @ sK124_SY224 )
        = $true )
      | ( ( k04_buttercup10100 @ sK125_X13 )
        = $true )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1585]) ).

thf(1692,plain,
    ! [SV85: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                                  | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                            | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
                      | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) )
                | ~ ~ ( k04_buttercup10100 @ sK124_SY224 ) ) )
        = $false )
      | ( ( b48_buttercup10104 @ sK125_X13 )
        = $false )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1586]) ).

thf(1693,plain,
    ! [SV85: $i] :
      ( ( ( ~ ( b48_buttercup10104 @ sK124_SY224 ) )
        = $false )
      | ( ( b48_buttercup10104 @ sK125_X13 )
        = $false )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1586]) ).

thf(1694,plain,
    ! [SV86: $i,SV107: $i,SV123: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK68_X47 )
                            | ~ ( k04_buttercup10100 @ sK68_X47 ) )
                      | ~ ( k04_buttercup10100 @ sK69_SY183 ) )
                | ~ ~ ( b48_buttercup10110 @ sK69_SY183 ) )
          | ~ ~ ( k04_buttercup10100 @ sK70_SY185 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV123 )
        = $true )
      | ( ( b48_buttercup10110 @ SV123 )
        = $false )
      | ( ( b48_buttercup10110 @ SV107 )
        = $true )
      | ( ( k04_buttercup10100 @ SV107 )
        = $false )
      | ( ( k04_buttercup10100 @ SV86 )
        = $false )
      | ( ( b48_buttercup10110 @ SV86 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1587]) ).

thf(1695,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK64_X47 )
                            | ~ ( k04_buttercup10100 @ sK64_X47 ) )
                      | ~ ( k04_buttercup10100 @ sK65_SY180 ) )
                | ~ ~ ( b48_buttercup10110 @ sK65_SY180 ) )
          | ~ ~ ( k04_buttercup10100 @ sK66_SY182 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK67_X51 )
        = $true )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1589]) ).

thf(1696,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK64_X47 )
                                | ~ ( k04_buttercup10100 @ sK64_X47 ) )
                          | ~ ( k04_buttercup10100 @ sK65_SY180 ) )
                    | ~ ~ ( b48_buttercup10110 @ sK65_SY180 ) )
              | ~ ~ ( k04_buttercup10100 @ sK66_SY182 ) ) )
        = $true )
      | ( ( b48_buttercup10110 @ sK67_X51 )
        = $false )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1591]) ).

thf(1697,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( b48_buttercup10110 @ sK66_SY182 )
        = $true )
      | ( ( b48_buttercup10110 @ sK67_X51 )
        = $false )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1592]) ).

thf(1698,plain,
    ! [SV88: $i,SV124: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK60_X47 )
                            | ~ ( k04_buttercup10100 @ sK60_X47 ) )
                      | ~ ( k04_buttercup10100 @ sK61_SY177 ) )
                | ~ ~ ( b48_buttercup10110 @ sK61_SY177 ) )
          | ~ ~ ( k04_buttercup10100 @ sK62_SY179 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV124 )
        = $true )
      | ( ( b48_buttercup10110 @ SV124 )
        = $false )
      | ( ( b48_buttercup10110 @ sK63_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1593]) ).

thf(1699,plain,
    ! [SV88: $i,SV133: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK60_X47 )
                                | ~ ( k04_buttercup10100 @ sK60_X47 ) )
                          | ~ ( k04_buttercup10100 @ sK61_SY177 ) )
                    | ~ ~ ( b48_buttercup10110 @ sK61_SY177 ) )
              | ~ ~ ( k04_buttercup10100 @ sK62_SY179 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV133 )
        = $true )
      | ( ( b48_buttercup10110 @ SV133 )
        = $false )
      | ( ( k04_buttercup10100 @ sK63_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1595]) ).

thf(1700,plain,
    ! [SV88: $i,SV133: $i] :
      ( ( ( b48_buttercup10110 @ sK62_SY179 )
        = $true )
      | ( ( k04_buttercup10100 @ SV133 )
        = $true )
      | ( ( b48_buttercup10110 @ SV133 )
        = $false )
      | ( ( k04_buttercup10100 @ sK63_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1596]) ).

thf(1701,plain,
    ! [SV89: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                            | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                      | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
                | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) )
          | ~ ~ ( k04_buttercup10100 @ sK57_SY176 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK58_X51 )
        = $true )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1597]) ).

thf(1702,plain,
    ! [SV89: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                                | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                          | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
                    | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) )
              | ~ ~ ( k04_buttercup10100 @ sK57_SY176 ) ) )
        = $true )
      | ( ( b48_buttercup10110 @ sK58_X51 )
        = $false )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1599]) ).

thf(1703,plain,
    ! [SV89: $i] :
      ( ( ( b48_buttercup10110 @ sK57_SY176 )
        = $true )
      | ( ( b48_buttercup10110 @ sK58_X51 )
        = $false )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1600]) ).

thf(1704,plain,
    ! [SV89: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                                | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                          | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
                    | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) )
              | ~ ~ ( k04_buttercup10100 @ sK57_SY176 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK58_X51 )
        = $true )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1601]) ).

thf(1705,plain,
    ! [SV89: $i] :
      ( ( ( b48_buttercup10110 @ sK57_SY176 )
        = $true )
      | ( ( k04_buttercup10100 @ sK58_X51 )
        = $true )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1602]) ).

thf(1706,plain,
    ! [SV89: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                                  | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                            | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
                      | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) )
                | ~ ~ ( k04_buttercup10100 @ sK57_SY176 ) ) )
        = $false )
      | ( ( b48_buttercup10110 @ sK58_X51 )
        = $false )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1603]) ).

thf(1707,plain,
    ! [SV89: $i] :
      ( ( ( ~ ( b48_buttercup10110 @ sK57_SY176 ) )
        = $false )
      | ( ( b48_buttercup10110 @ sK58_X51 )
        = $false )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1603]) ).

thf(1708,plain,
    ! [SV90: $i,SV109: $i,SV125: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK84_X39 )
                            | ~ ( k04_buttercup10100 @ sK84_X39 ) )
                      | ~ ( k04_buttercup10100 @ sK85_SY195 ) )
                | ~ ~ ( b48_buttercup10108 @ sK85_SY195 ) )
          | ~ ~ ( k04_buttercup10100 @ sK86_SY197 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV125 )
        = $true )
      | ( ( b48_buttercup10108 @ SV125 )
        = $false )
      | ( ( b48_buttercup10108 @ SV109 )
        = $true )
      | ( ( k04_buttercup10100 @ SV109 )
        = $false )
      | ( ( k04_buttercup10100 @ SV90 )
        = $false )
      | ( ( b48_buttercup10108 @ SV90 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1604]) ).

thf(1709,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK80_X39 )
                            | ~ ( k04_buttercup10100 @ sK80_X39 ) )
                      | ~ ( k04_buttercup10100 @ sK81_SY192 ) )
                | ~ ~ ( b48_buttercup10108 @ sK81_SY192 ) )
          | ~ ~ ( k04_buttercup10100 @ sK82_SY194 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK83_X43 )
        = $true )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1606]) ).

thf(1710,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK80_X39 )
                                | ~ ( k04_buttercup10100 @ sK80_X39 ) )
                          | ~ ( k04_buttercup10100 @ sK81_SY192 ) )
                    | ~ ~ ( b48_buttercup10108 @ sK81_SY192 ) )
              | ~ ~ ( k04_buttercup10100 @ sK82_SY194 ) ) )
        = $true )
      | ( ( b48_buttercup10108 @ sK83_X43 )
        = $false )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1608]) ).

thf(1711,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( b48_buttercup10108 @ sK82_SY194 )
        = $true )
      | ( ( b48_buttercup10108 @ sK83_X43 )
        = $false )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1609]) ).

thf(1712,plain,
    ! [SV92: $i,SV126: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK76_X39 )
                            | ~ ( k04_buttercup10100 @ sK76_X39 ) )
                      | ~ ( k04_buttercup10100 @ sK77_SY189 ) )
                | ~ ~ ( b48_buttercup10108 @ sK77_SY189 ) )
          | ~ ~ ( k04_buttercup10100 @ sK78_SY191 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV126 )
        = $true )
      | ( ( b48_buttercup10108 @ SV126 )
        = $false )
      | ( ( b48_buttercup10108 @ sK79_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1610]) ).

thf(1713,plain,
    ! [SV92: $i,SV134: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK76_X39 )
                                | ~ ( k04_buttercup10100 @ sK76_X39 ) )
                          | ~ ( k04_buttercup10100 @ sK77_SY189 ) )
                    | ~ ~ ( b48_buttercup10108 @ sK77_SY189 ) )
              | ~ ~ ( k04_buttercup10100 @ sK78_SY191 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV134 )
        = $true )
      | ( ( b48_buttercup10108 @ SV134 )
        = $false )
      | ( ( k04_buttercup10100 @ sK79_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1612]) ).

thf(1714,plain,
    ! [SV92: $i,SV134: $i] :
      ( ( ( b48_buttercup10108 @ sK78_SY191 )
        = $true )
      | ( ( k04_buttercup10100 @ SV134 )
        = $true )
      | ( ( b48_buttercup10108 @ SV134 )
        = $false )
      | ( ( k04_buttercup10100 @ sK79_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1613]) ).

thf(1715,plain,
    ! [SV93: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                            | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                      | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
                | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) )
          | ~ ~ ( k04_buttercup10100 @ sK73_SY188 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK74_X43 )
        = $true )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1614]) ).

thf(1716,plain,
    ! [SV93: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                                | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                          | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
                    | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) )
              | ~ ~ ( k04_buttercup10100 @ sK73_SY188 ) ) )
        = $true )
      | ( ( b48_buttercup10108 @ sK74_X43 )
        = $false )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1616]) ).

thf(1717,plain,
    ! [SV93: $i] :
      ( ( ( b48_buttercup10108 @ sK73_SY188 )
        = $true )
      | ( ( b48_buttercup10108 @ sK74_X43 )
        = $false )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1617]) ).

thf(1718,plain,
    ! [SV93: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                                | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                          | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
                    | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) )
              | ~ ~ ( k04_buttercup10100 @ sK73_SY188 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK74_X43 )
        = $true )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1618]) ).

thf(1719,plain,
    ! [SV93: $i] :
      ( ( ( b48_buttercup10108 @ sK73_SY188 )
        = $true )
      | ( ( k04_buttercup10100 @ sK74_X43 )
        = $true )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1619]) ).

thf(1720,plain,
    ! [SV93: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                                  | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                            | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
                      | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) )
                | ~ ~ ( k04_buttercup10100 @ sK73_SY188 ) ) )
        = $false )
      | ( ( b48_buttercup10108 @ sK74_X43 )
        = $false )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1620]) ).

thf(1721,plain,
    ! [SV93: $i] :
      ( ( ( ~ ( b48_buttercup10108 @ sK73_SY188 ) )
        = $false )
      | ( ( b48_buttercup10108 @ sK74_X43 )
        = $false )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1620]) ).

thf(1722,plain,
    ! [SV94: $i,SV111: $i,SV127: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK118_X19 )
                            | ~ ( k04_buttercup10619 @ sK118_X19 ) )
                      | ~ ( k04_buttercup10619 @ sK119_SY219 ) )
                | ~ ~ ( b48_buttercup10111 @ sK119_SY219 ) )
          | ~ ~ ( k04_buttercup10619 @ sK120_SY221 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV127 )
        = $true )
      | ( ( b48_buttercup10111 @ SV127 )
        = $false )
      | ( ( b48_buttercup10111 @ SV111 )
        = $true )
      | ( ( k04_buttercup10619 @ SV111 )
        = $false )
      | ( ( k04_buttercup10619 @ SV94 )
        = $false )
      | ( ( b48_buttercup10111 @ SV94 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1621]) ).

thf(1723,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK114_X19 )
                            | ~ ( k04_buttercup10619 @ sK114_X19 ) )
                      | ~ ( k04_buttercup10619 @ sK115_SY216 ) )
                | ~ ~ ( b48_buttercup10111 @ sK115_SY216 ) )
          | ~ ~ ( k04_buttercup10619 @ sK116_SY218 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK117_X23 )
        = $true )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1623]) ).

thf(1724,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK114_X19 )
                                | ~ ( k04_buttercup10619 @ sK114_X19 ) )
                          | ~ ( k04_buttercup10619 @ sK115_SY216 ) )
                    | ~ ~ ( b48_buttercup10111 @ sK115_SY216 ) )
              | ~ ~ ( k04_buttercup10619 @ sK116_SY218 ) ) )
        = $true )
      | ( ( b48_buttercup10111 @ sK117_X23 )
        = $false )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1625]) ).

thf(1725,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( b48_buttercup10111 @ sK116_SY218 )
        = $true )
      | ( ( b48_buttercup10111 @ sK117_X23 )
        = $false )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1626]) ).

thf(1726,plain,
    ! [SV96: $i,SV128: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK110_X19 )
                            | ~ ( k04_buttercup10619 @ sK110_X19 ) )
                      | ~ ( k04_buttercup10619 @ sK111_SY213 ) )
                | ~ ~ ( b48_buttercup10111 @ sK111_SY213 ) )
          | ~ ~ ( k04_buttercup10619 @ sK112_SY215 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV128 )
        = $true )
      | ( ( b48_buttercup10111 @ SV128 )
        = $false )
      | ( ( b48_buttercup10111 @ sK113_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1627]) ).

thf(1727,plain,
    ! [SV96: $i,SV135: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK110_X19 )
                                | ~ ( k04_buttercup10619 @ sK110_X19 ) )
                          | ~ ( k04_buttercup10619 @ sK111_SY213 ) )
                    | ~ ~ ( b48_buttercup10111 @ sK111_SY213 ) )
              | ~ ~ ( k04_buttercup10619 @ sK112_SY215 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV135 )
        = $true )
      | ( ( b48_buttercup10111 @ SV135 )
        = $false )
      | ( ( k04_buttercup10619 @ sK113_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1629]) ).

thf(1728,plain,
    ! [SV96: $i,SV135: $i] :
      ( ( ( b48_buttercup10111 @ sK112_SY215 )
        = $true )
      | ( ( k04_buttercup10619 @ SV135 )
        = $true )
      | ( ( b48_buttercup10111 @ SV135 )
        = $false )
      | ( ( k04_buttercup10619 @ sK113_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1630]) ).

thf(1729,plain,
    ! [SV97: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                            | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                      | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
                | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) )
          | ~ ~ ( k04_buttercup10619 @ sK107_SY212 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK108_X23 )
        = $true )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1631]) ).

thf(1730,plain,
    ! [SV97: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                                | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                          | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
                    | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) )
              | ~ ~ ( k04_buttercup10619 @ sK107_SY212 ) ) )
        = $true )
      | ( ( b48_buttercup10111 @ sK108_X23 )
        = $false )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1633]) ).

thf(1731,plain,
    ! [SV97: $i] :
      ( ( ( b48_buttercup10111 @ sK107_SY212 )
        = $true )
      | ( ( b48_buttercup10111 @ sK108_X23 )
        = $false )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1634]) ).

thf(1732,plain,
    ! [SV97: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                                | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                          | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
                    | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) )
              | ~ ~ ( k04_buttercup10619 @ sK107_SY212 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ sK108_X23 )
        = $true )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1635]) ).

thf(1733,plain,
    ! [SV97: $i] :
      ( ( ( b48_buttercup10111 @ sK107_SY212 )
        = $true )
      | ( ( k04_buttercup10619 @ sK108_X23 )
        = $true )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1636]) ).

thf(1734,plain,
    ! [SV97: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                                  | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                            | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
                      | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) )
                | ~ ~ ( k04_buttercup10619 @ sK107_SY212 ) ) )
        = $false )
      | ( ( b48_buttercup10111 @ sK108_X23 )
        = $false )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1637]) ).

thf(1735,plain,
    ! [SV97: $i] :
      ( ( ( ~ ( b48_buttercup10111 @ sK107_SY212 ) )
        = $false )
      | ( ( b48_buttercup10111 @ sK108_X23 )
        = $false )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1637]) ).

thf(1736,plain,
    ! [SV69: $i,SV99: $i,SV115: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK48_X63 )
                            | ~ ( k04_buttercup10100 @ sK48_X63 ) )
                      | ~ ( k04_buttercup10100 @ sK49_SY171 ) )
                | ~ ~ ( b48_buttercup10102 @ sK49_SY171 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV115 )
        = $true )
      | ( ( b48_buttercup10102 @ SV115 )
        = $false )
      | ( ( b48_buttercup10102 @ SV99 )
        = $true )
      | ( ( k04_buttercup10100 @ SV99 )
        = $false )
      | ( ( k04_buttercup10100 @ SV69 )
        = $false )
      | ( ( b48_buttercup10102 @ SV69 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1638]) ).

thf(1737,plain,
    ! [SV69: $i,SV99: $i,SV115: $i] :
      ( ( ( ~ ~ ( k04_buttercup10100 @ sK50_SY173 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV115 )
        = $true )
      | ( ( b48_buttercup10102 @ SV115 )
        = $false )
      | ( ( b48_buttercup10102 @ SV99 )
        = $true )
      | ( ( k04_buttercup10100 @ SV99 )
        = $false )
      | ( ( k04_buttercup10100 @ SV69 )
        = $false )
      | ( ( b48_buttercup10102 @ SV69 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1638]) ).

thf(1738,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK44_X63 )
                            | ~ ( k04_buttercup10100 @ sK44_X63 ) )
                      | ~ ( k04_buttercup10100 @ sK45_SY168 ) )
                | ~ ~ ( b48_buttercup10102 @ sK45_SY168 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK47_X67 )
        = $true )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1639]) ).

thf(1739,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( ~ ~ ( k04_buttercup10100 @ sK46_SY170 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK47_X67 )
        = $true )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1639]) ).

thf(1740,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK44_X63 )
                            | ~ ( k04_buttercup10100 @ sK44_X63 ) )
                      | ~ ( k04_buttercup10100 @ sK45_SY168 ) )
                | ~ ~ ( b48_buttercup10102 @ sK45_SY168 ) )
          | ~ ~ ( k04_buttercup10100 @ sK46_SY170 ) )
        = $false )
      | ( ( b48_buttercup10102 @ sK47_X67 )
        = $false )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1640]) ).

thf(1741,plain,
    ! [SV71: $i,SV116: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK40_X63 )
                            | ~ ( k04_buttercup10100 @ sK40_X63 ) )
                      | ~ ( k04_buttercup10100 @ sK41_SY165 ) )
                | ~ ~ ( b48_buttercup10102 @ sK41_SY165 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV116 )
        = $true )
      | ( ( b48_buttercup10102 @ SV116 )
        = $false )
      | ( ( b48_buttercup10102 @ sK43_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1642]) ).

thf(1742,plain,
    ! [SV71: $i,SV116: $i] :
      ( ( ( ~ ~ ( k04_buttercup10100 @ sK42_SY167 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV116 )
        = $true )
      | ( ( b48_buttercup10102 @ SV116 )
        = $false )
      | ( ( b48_buttercup10102 @ sK43_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1642]) ).

thf(1743,plain,
    ! [SV71: $i,SV129: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK40_X63 )
                            | ~ ( k04_buttercup10100 @ sK40_X63 ) )
                      | ~ ( k04_buttercup10100 @ sK41_SY165 ) )
                | ~ ~ ( b48_buttercup10102 @ sK41_SY165 ) )
          | ~ ~ ( k04_buttercup10100 @ sK42_SY167 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV129 )
        = $true )
      | ( ( b48_buttercup10102 @ SV129 )
        = $false )
      | ( ( k04_buttercup10100 @ sK43_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1643]) ).

thf(1744,plain,
    ! [SV72: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                            | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                      | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
                | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK38_X67 )
        = $true )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1645]) ).

thf(1745,plain,
    ! [SV72: $i] :
      ( ( ( ~ ~ ( k04_buttercup10100 @ sK37_SY164 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK38_X67 )
        = $true )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1645]) ).

thf(1746,plain,
    ! [SV72: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                            | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                      | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
                | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) )
          | ~ ~ ( k04_buttercup10100 @ sK37_SY164 ) )
        = $false )
      | ( ( b48_buttercup10102 @ sK38_X67 )
        = $false )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1646]) ).

thf(1747,plain,
    ! [SV72: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                            | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                      | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
                | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) )
          | ~ ~ ( k04_buttercup10100 @ sK37_SY164 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK38_X67 )
        = $true )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1648]) ).

thf(1748,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                                | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                          | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
                    | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) )
              | ~ ~ ( k04_buttercup10100 @ sK37_SY164 ) ) )
        = $true )
      | ( ( b48_buttercup10102 @ sK38_X67 )
        = $false )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1650]) ).

thf(1749,plain,
    ! [SV72: $i] :
      ( ( ( b48_buttercup10102 @ sK37_SY164 )
        = $true )
      | ( ( b48_buttercup10102 @ sK38_X67 )
        = $false )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1651]) ).

thf(1750,plain,
    ! [SV74: $i,SV101: $i,SV117: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK101_X29 )
                            | ~ ( k04_buttercup10619 @ sK101_X29 ) )
                      | ~ ( k04_buttercup10619 @ sK102_SY207 ) )
                | ~ ~ ( b48_buttercup10109 @ sK102_SY207 ) ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV117 )
        = $true )
      | ( ( b48_buttercup10109 @ SV117 )
        = $false )
      | ( ( b48_buttercup10109 @ SV101 )
        = $true )
      | ( ( k04_buttercup10619 @ SV101 )
        = $false )
      | ( ( k04_buttercup10619 @ SV74 )
        = $false )
      | ( ( b48_buttercup10109 @ SV74 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1652]) ).

thf(1751,plain,
    ! [SV74: $i,SV101: $i,SV117: $i] :
      ( ( ( ~ ~ ( k04_buttercup10619 @ sK103_SY209 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV117 )
        = $true )
      | ( ( b48_buttercup10109 @ SV117 )
        = $false )
      | ( ( b48_buttercup10109 @ SV101 )
        = $true )
      | ( ( k04_buttercup10619 @ SV101 )
        = $false )
      | ( ( k04_buttercup10619 @ SV74 )
        = $false )
      | ( ( b48_buttercup10109 @ SV74 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1652]) ).

thf(1752,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK97_X29 )
                            | ~ ( k04_buttercup10619 @ sK97_X29 ) )
                      | ~ ( k04_buttercup10619 @ sK98_SY204 ) )
                | ~ ~ ( b48_buttercup10109 @ sK98_SY204 ) ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK100_X33 )
        = $true )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1653]) ).

thf(1753,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( ~ ~ ( k04_buttercup10619 @ sK99_SY206 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK100_X33 )
        = $true )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1653]) ).

thf(1754,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK97_X29 )
                            | ~ ( k04_buttercup10619 @ sK97_X29 ) )
                      | ~ ( k04_buttercup10619 @ sK98_SY204 ) )
                | ~ ~ ( b48_buttercup10109 @ sK98_SY204 ) )
          | ~ ~ ( k04_buttercup10619 @ sK99_SY206 ) )
        = $false )
      | ( ( b48_buttercup10109 @ sK100_X33 )
        = $false )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1654]) ).

thf(1755,plain,
    ! [SV76: $i,SV118: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK93_X29 )
                            | ~ ( k04_buttercup10619 @ sK93_X29 ) )
                      | ~ ( k04_buttercup10619 @ sK94_SY201 ) )
                | ~ ~ ( b48_buttercup10109 @ sK94_SY201 ) ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV118 )
        = $true )
      | ( ( b48_buttercup10109 @ SV118 )
        = $false )
      | ( ( b48_buttercup10109 @ sK96_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1656]) ).

thf(1756,plain,
    ! [SV76: $i,SV118: $i] :
      ( ( ( ~ ~ ( k04_buttercup10619 @ sK95_SY203 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV118 )
        = $true )
      | ( ( b48_buttercup10109 @ SV118 )
        = $false )
      | ( ( b48_buttercup10109 @ sK96_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1656]) ).

thf(1757,plain,
    ! [SV76: $i,SV130: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK93_X29 )
                            | ~ ( k04_buttercup10619 @ sK93_X29 ) )
                      | ~ ( k04_buttercup10619 @ sK94_SY201 ) )
                | ~ ~ ( b48_buttercup10109 @ sK94_SY201 ) )
          | ~ ~ ( k04_buttercup10619 @ sK95_SY203 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV130 )
        = $true )
      | ( ( b48_buttercup10109 @ SV130 )
        = $false )
      | ( ( k04_buttercup10619 @ sK96_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1657]) ).

thf(1758,plain,
    ! [SV77: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                            | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                      | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
                | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK91_X33 )
        = $true )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1659]) ).

thf(1759,plain,
    ! [SV77: $i] :
      ( ( ( ~ ~ ( k04_buttercup10619 @ sK90_SY200 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK91_X33 )
        = $true )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1659]) ).

thf(1760,plain,
    ! [SV77: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                            | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                      | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
                | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) )
          | ~ ~ ( k04_buttercup10619 @ sK90_SY200 ) )
        = $false )
      | ( ( b48_buttercup10109 @ sK91_X33 )
        = $false )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1660]) ).

thf(1761,plain,
    ! [SV77: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                            | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                      | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
                | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) )
          | ~ ~ ( k04_buttercup10619 @ sK90_SY200 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK91_X33 )
        = $true )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1662]) ).

thf(1762,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                                | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                          | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
                    | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) )
              | ~ ~ ( k04_buttercup10619 @ sK90_SY200 ) ) )
        = $true )
      | ( ( b48_buttercup10109 @ sK91_X33 )
        = $false )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1664]) ).

thf(1763,plain,
    ! [SV77: $i] :
      ( ( ( b48_buttercup10109 @ sK90_SY200 )
        = $true )
      | ( ( b48_buttercup10109 @ sK91_X33 )
        = $false )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1665]) ).

thf(1764,plain,
    ! [SV78: $i,SV103: $i,SV119: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK31_X74 )
                            | ~ ( k04_buttercup10100 @ sK31_X74 ) )
                      | ~ ( k04_buttercup10100 @ sK32_SY159 ) )
                | ~ ~ ( b48_buttercup10107 @ sK32_SY159 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV119 )
        = $true )
      | ( ( b48_buttercup10107 @ SV119 )
        = $false )
      | ( ( b48_buttercup10107 @ SV103 )
        = $true )
      | ( ( k04_buttercup10100 @ SV103 )
        = $false )
      | ( ( k04_buttercup10100 @ SV78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV78 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1666]) ).

thf(1765,plain,
    ! [SV78: $i,SV103: $i,SV119: $i] :
      ( ( ( ~ ~ ( k04_buttercup10100 @ sK33_SY161 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV119 )
        = $true )
      | ( ( b48_buttercup10107 @ SV119 )
        = $false )
      | ( ( b48_buttercup10107 @ SV103 )
        = $true )
      | ( ( k04_buttercup10100 @ SV103 )
        = $false )
      | ( ( k04_buttercup10100 @ SV78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV78 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1666]) ).

thf(1766,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK27_X74 )
                            | ~ ( k04_buttercup10100 @ sK27_X74 ) )
                      | ~ ( k04_buttercup10100 @ sK28_SY156 ) )
                | ~ ~ ( b48_buttercup10107 @ sK28_SY156 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK30_X78 )
        = $true )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1667]) ).

thf(1767,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( ~ ~ ( k04_buttercup10100 @ sK29_SY158 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK30_X78 )
        = $true )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1667]) ).

thf(1768,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK27_X74 )
                            | ~ ( k04_buttercup10100 @ sK27_X74 ) )
                      | ~ ( k04_buttercup10100 @ sK28_SY156 ) )
                | ~ ~ ( b48_buttercup10107 @ sK28_SY156 ) )
          | ~ ~ ( k04_buttercup10100 @ sK29_SY158 ) )
        = $false )
      | ( ( b48_buttercup10107 @ sK30_X78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1668]) ).

thf(1769,plain,
    ! [SV80: $i,SV120: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK23_X74 )
                            | ~ ( k04_buttercup10100 @ sK23_X74 ) )
                      | ~ ( k04_buttercup10100 @ sK24_SY153 ) )
                | ~ ~ ( b48_buttercup10107 @ sK24_SY153 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV120 )
        = $true )
      | ( ( b48_buttercup10107 @ SV120 )
        = $false )
      | ( ( b48_buttercup10107 @ sK26_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1670]) ).

thf(1770,plain,
    ! [SV80: $i,SV120: $i] :
      ( ( ( ~ ~ ( k04_buttercup10100 @ sK25_SY155 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV120 )
        = $true )
      | ( ( b48_buttercup10107 @ SV120 )
        = $false )
      | ( ( b48_buttercup10107 @ sK26_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1670]) ).

thf(1771,plain,
    ! [SV80: $i,SV131: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK23_X74 )
                            | ~ ( k04_buttercup10100 @ sK23_X74 ) )
                      | ~ ( k04_buttercup10100 @ sK24_SY153 ) )
                | ~ ~ ( b48_buttercup10107 @ sK24_SY153 ) )
          | ~ ~ ( k04_buttercup10100 @ sK25_SY155 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV131 )
        = $true )
      | ( ( b48_buttercup10107 @ SV131 )
        = $false )
      | ( ( k04_buttercup10100 @ sK26_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1671]) ).

thf(1772,plain,
    ! [SV81: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                            | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                      | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
                | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK21_X78 )
        = $true )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1673]) ).

thf(1773,plain,
    ! [SV81: $i] :
      ( ( ( ~ ~ ( k04_buttercup10100 @ sK20_SY152 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK21_X78 )
        = $true )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1673]) ).

thf(1774,plain,
    ! [SV81: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                            | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                      | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
                | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) )
          | ~ ~ ( k04_buttercup10100 @ sK20_SY152 ) )
        = $false )
      | ( ( b48_buttercup10107 @ sK21_X78 )
        = $false )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1674]) ).

thf(1775,plain,
    ! [SV81: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                            | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                      | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
                | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) )
          | ~ ~ ( k04_buttercup10100 @ sK20_SY152 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK21_X78 )
        = $true )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1676]) ).

thf(1776,plain,
    ! [SV81: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                                | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                          | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
                    | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) )
              | ~ ~ ( k04_buttercup10100 @ sK20_SY152 ) ) )
        = $true )
      | ( ( b48_buttercup10107 @ sK21_X78 )
        = $false )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1678]) ).

thf(1777,plain,
    ! [SV81: $i] :
      ( ( ( b48_buttercup10107 @ sK20_SY152 )
        = $true )
      | ( ( b48_buttercup10107 @ sK21_X78 )
        = $false )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1679]) ).

thf(1778,plain,
    ! [SV82: $i,SV105: $i,SV121: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK135_X9 )
                            | ~ ( k04_buttercup10100 @ sK135_X9 ) )
                      | ~ ( k04_buttercup10100 @ sK136_SY231 ) )
                | ~ ~ ( b48_buttercup10104 @ sK136_SY231 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV121 )
        = $true )
      | ( ( b48_buttercup10104 @ SV121 )
        = $false )
      | ( ( b48_buttercup10104 @ SV105 )
        = $true )
      | ( ( k04_buttercup10100 @ SV105 )
        = $false )
      | ( ( k04_buttercup10100 @ SV82 )
        = $false )
      | ( ( b48_buttercup10104 @ SV82 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1680]) ).

thf(1779,plain,
    ! [SV82: $i,SV105: $i,SV121: $i] :
      ( ( ( ~ ~ ( k04_buttercup10100 @ sK137_SY233 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV121 )
        = $true )
      | ( ( b48_buttercup10104 @ SV121 )
        = $false )
      | ( ( b48_buttercup10104 @ SV105 )
        = $true )
      | ( ( k04_buttercup10100 @ SV105 )
        = $false )
      | ( ( k04_buttercup10100 @ SV82 )
        = $false )
      | ( ( b48_buttercup10104 @ SV82 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1680]) ).

thf(1780,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK131_X9 )
                            | ~ ( k04_buttercup10100 @ sK131_X9 ) )
                      | ~ ( k04_buttercup10100 @ sK132_SY228 ) )
                | ~ ~ ( b48_buttercup10104 @ sK132_SY228 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK134_X13 )
        = $true )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1681]) ).

thf(1781,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( ~ ~ ( k04_buttercup10100 @ sK133_SY230 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK134_X13 )
        = $true )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1681]) ).

thf(1782,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK131_X9 )
                            | ~ ( k04_buttercup10100 @ sK131_X9 ) )
                      | ~ ( k04_buttercup10100 @ sK132_SY228 ) )
                | ~ ~ ( b48_buttercup10104 @ sK132_SY228 ) )
          | ~ ~ ( k04_buttercup10100 @ sK133_SY230 ) )
        = $false )
      | ( ( b48_buttercup10104 @ sK134_X13 )
        = $false )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1682]) ).

thf(1783,plain,
    ! [SV84: $i,SV122: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK127_X9 )
                            | ~ ( k04_buttercup10100 @ sK127_X9 ) )
                      | ~ ( k04_buttercup10100 @ sK128_SY225 ) )
                | ~ ~ ( b48_buttercup10104 @ sK128_SY225 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV122 )
        = $true )
      | ( ( b48_buttercup10104 @ SV122 )
        = $false )
      | ( ( b48_buttercup10104 @ sK130_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1684]) ).

thf(1784,plain,
    ! [SV84: $i,SV122: $i] :
      ( ( ( ~ ~ ( k04_buttercup10100 @ sK129_SY227 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV122 )
        = $true )
      | ( ( b48_buttercup10104 @ SV122 )
        = $false )
      | ( ( b48_buttercup10104 @ sK130_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1684]) ).

thf(1785,plain,
    ! [SV84: $i,SV132: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK127_X9 )
                            | ~ ( k04_buttercup10100 @ sK127_X9 ) )
                      | ~ ( k04_buttercup10100 @ sK128_SY225 ) )
                | ~ ~ ( b48_buttercup10104 @ sK128_SY225 ) )
          | ~ ~ ( k04_buttercup10100 @ sK129_SY227 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV132 )
        = $true )
      | ( ( b48_buttercup10104 @ SV132 )
        = $false )
      | ( ( k04_buttercup10100 @ sK130_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1685]) ).

thf(1786,plain,
    ! [SV85: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                            | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                      | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
                | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK125_X13 )
        = $true )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1687]) ).

thf(1787,plain,
    ! [SV85: $i] :
      ( ( ( ~ ~ ( k04_buttercup10100 @ sK124_SY224 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK125_X13 )
        = $true )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1687]) ).

thf(1788,plain,
    ! [SV85: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                            | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                      | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
                | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) )
          | ~ ~ ( k04_buttercup10100 @ sK124_SY224 ) )
        = $false )
      | ( ( b48_buttercup10104 @ sK125_X13 )
        = $false )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1688]) ).

thf(1789,plain,
    ! [SV85: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                            | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                      | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
                | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) )
          | ~ ~ ( k04_buttercup10100 @ sK124_SY224 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK125_X13 )
        = $true )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1690]) ).

thf(1790,plain,
    ! [SV85: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                                | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                          | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
                    | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) )
              | ~ ~ ( k04_buttercup10100 @ sK124_SY224 ) ) )
        = $true )
      | ( ( b48_buttercup10104 @ sK125_X13 )
        = $false )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1692]) ).

thf(1791,plain,
    ! [SV85: $i] :
      ( ( ( b48_buttercup10104 @ sK124_SY224 )
        = $true )
      | ( ( b48_buttercup10104 @ sK125_X13 )
        = $false )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1693]) ).

thf(1792,plain,
    ! [SV86: $i,SV107: $i,SV123: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK68_X47 )
                            | ~ ( k04_buttercup10100 @ sK68_X47 ) )
                      | ~ ( k04_buttercup10100 @ sK69_SY183 ) )
                | ~ ~ ( b48_buttercup10110 @ sK69_SY183 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV123 )
        = $true )
      | ( ( b48_buttercup10110 @ SV123 )
        = $false )
      | ( ( b48_buttercup10110 @ SV107 )
        = $true )
      | ( ( k04_buttercup10100 @ SV107 )
        = $false )
      | ( ( k04_buttercup10100 @ SV86 )
        = $false )
      | ( ( b48_buttercup10110 @ SV86 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1694]) ).

thf(1793,plain,
    ! [SV86: $i,SV107: $i,SV123: $i] :
      ( ( ( ~ ~ ( k04_buttercup10100 @ sK70_SY185 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV123 )
        = $true )
      | ( ( b48_buttercup10110 @ SV123 )
        = $false )
      | ( ( b48_buttercup10110 @ SV107 )
        = $true )
      | ( ( k04_buttercup10100 @ SV107 )
        = $false )
      | ( ( k04_buttercup10100 @ SV86 )
        = $false )
      | ( ( b48_buttercup10110 @ SV86 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1694]) ).

thf(1794,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK64_X47 )
                            | ~ ( k04_buttercup10100 @ sK64_X47 ) )
                      | ~ ( k04_buttercup10100 @ sK65_SY180 ) )
                | ~ ~ ( b48_buttercup10110 @ sK65_SY180 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK67_X51 )
        = $true )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1695]) ).

thf(1795,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( ~ ~ ( k04_buttercup10100 @ sK66_SY182 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK67_X51 )
        = $true )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1695]) ).

thf(1796,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK64_X47 )
                            | ~ ( k04_buttercup10100 @ sK64_X47 ) )
                      | ~ ( k04_buttercup10100 @ sK65_SY180 ) )
                | ~ ~ ( b48_buttercup10110 @ sK65_SY180 ) )
          | ~ ~ ( k04_buttercup10100 @ sK66_SY182 ) )
        = $false )
      | ( ( b48_buttercup10110 @ sK67_X51 )
        = $false )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1696]) ).

thf(1797,plain,
    ! [SV88: $i,SV124: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK60_X47 )
                            | ~ ( k04_buttercup10100 @ sK60_X47 ) )
                      | ~ ( k04_buttercup10100 @ sK61_SY177 ) )
                | ~ ~ ( b48_buttercup10110 @ sK61_SY177 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV124 )
        = $true )
      | ( ( b48_buttercup10110 @ SV124 )
        = $false )
      | ( ( b48_buttercup10110 @ sK63_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1698]) ).

thf(1798,plain,
    ! [SV88: $i,SV124: $i] :
      ( ( ( ~ ~ ( k04_buttercup10100 @ sK62_SY179 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV124 )
        = $true )
      | ( ( b48_buttercup10110 @ SV124 )
        = $false )
      | ( ( b48_buttercup10110 @ sK63_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1698]) ).

thf(1799,plain,
    ! [SV88: $i,SV133: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK60_X47 )
                            | ~ ( k04_buttercup10100 @ sK60_X47 ) )
                      | ~ ( k04_buttercup10100 @ sK61_SY177 ) )
                | ~ ~ ( b48_buttercup10110 @ sK61_SY177 ) )
          | ~ ~ ( k04_buttercup10100 @ sK62_SY179 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV133 )
        = $true )
      | ( ( b48_buttercup10110 @ SV133 )
        = $false )
      | ( ( k04_buttercup10100 @ sK63_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1699]) ).

thf(1800,plain,
    ! [SV89: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                            | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                      | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
                | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK58_X51 )
        = $true )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1701]) ).

thf(1801,plain,
    ! [SV89: $i] :
      ( ( ( ~ ~ ( k04_buttercup10100 @ sK57_SY176 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK58_X51 )
        = $true )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1701]) ).

thf(1802,plain,
    ! [SV89: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                            | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                      | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
                | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) )
          | ~ ~ ( k04_buttercup10100 @ sK57_SY176 ) )
        = $false )
      | ( ( b48_buttercup10110 @ sK58_X51 )
        = $false )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1702]) ).

thf(1803,plain,
    ! [SV89: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                            | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                      | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
                | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) )
          | ~ ~ ( k04_buttercup10100 @ sK57_SY176 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK58_X51 )
        = $true )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1704]) ).

thf(1804,plain,
    ! [SV89: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                                | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                          | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
                    | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) )
              | ~ ~ ( k04_buttercup10100 @ sK57_SY176 ) ) )
        = $true )
      | ( ( b48_buttercup10110 @ sK58_X51 )
        = $false )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1706]) ).

thf(1805,plain,
    ! [SV89: $i] :
      ( ( ( b48_buttercup10110 @ sK57_SY176 )
        = $true )
      | ( ( b48_buttercup10110 @ sK58_X51 )
        = $false )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1707]) ).

thf(1806,plain,
    ! [SV90: $i,SV109: $i,SV125: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK84_X39 )
                            | ~ ( k04_buttercup10100 @ sK84_X39 ) )
                      | ~ ( k04_buttercup10100 @ sK85_SY195 ) )
                | ~ ~ ( b48_buttercup10108 @ sK85_SY195 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV125 )
        = $true )
      | ( ( b48_buttercup10108 @ SV125 )
        = $false )
      | ( ( b48_buttercup10108 @ SV109 )
        = $true )
      | ( ( k04_buttercup10100 @ SV109 )
        = $false )
      | ( ( k04_buttercup10100 @ SV90 )
        = $false )
      | ( ( b48_buttercup10108 @ SV90 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1708]) ).

thf(1807,plain,
    ! [SV90: $i,SV109: $i,SV125: $i] :
      ( ( ( ~ ~ ( k04_buttercup10100 @ sK86_SY197 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV125 )
        = $true )
      | ( ( b48_buttercup10108 @ SV125 )
        = $false )
      | ( ( b48_buttercup10108 @ SV109 )
        = $true )
      | ( ( k04_buttercup10100 @ SV109 )
        = $false )
      | ( ( k04_buttercup10100 @ SV90 )
        = $false )
      | ( ( b48_buttercup10108 @ SV90 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1708]) ).

thf(1808,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK80_X39 )
                            | ~ ( k04_buttercup10100 @ sK80_X39 ) )
                      | ~ ( k04_buttercup10100 @ sK81_SY192 ) )
                | ~ ~ ( b48_buttercup10108 @ sK81_SY192 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK83_X43 )
        = $true )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1709]) ).

thf(1809,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( ~ ~ ( k04_buttercup10100 @ sK82_SY194 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK83_X43 )
        = $true )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1709]) ).

thf(1810,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK80_X39 )
                            | ~ ( k04_buttercup10100 @ sK80_X39 ) )
                      | ~ ( k04_buttercup10100 @ sK81_SY192 ) )
                | ~ ~ ( b48_buttercup10108 @ sK81_SY192 ) )
          | ~ ~ ( k04_buttercup10100 @ sK82_SY194 ) )
        = $false )
      | ( ( b48_buttercup10108 @ sK83_X43 )
        = $false )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1710]) ).

thf(1811,plain,
    ! [SV92: $i,SV126: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK76_X39 )
                            | ~ ( k04_buttercup10100 @ sK76_X39 ) )
                      | ~ ( k04_buttercup10100 @ sK77_SY189 ) )
                | ~ ~ ( b48_buttercup10108 @ sK77_SY189 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV126 )
        = $true )
      | ( ( b48_buttercup10108 @ SV126 )
        = $false )
      | ( ( b48_buttercup10108 @ sK79_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1712]) ).

thf(1812,plain,
    ! [SV92: $i,SV126: $i] :
      ( ( ( ~ ~ ( k04_buttercup10100 @ sK78_SY191 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV126 )
        = $true )
      | ( ( b48_buttercup10108 @ SV126 )
        = $false )
      | ( ( b48_buttercup10108 @ sK79_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1712]) ).

thf(1813,plain,
    ! [SV92: $i,SV134: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK76_X39 )
                            | ~ ( k04_buttercup10100 @ sK76_X39 ) )
                      | ~ ( k04_buttercup10100 @ sK77_SY189 ) )
                | ~ ~ ( b48_buttercup10108 @ sK77_SY189 ) )
          | ~ ~ ( k04_buttercup10100 @ sK78_SY191 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV134 )
        = $true )
      | ( ( b48_buttercup10108 @ SV134 )
        = $false )
      | ( ( k04_buttercup10100 @ sK79_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1713]) ).

thf(1814,plain,
    ! [SV93: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                            | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                      | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
                | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK74_X43 )
        = $true )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1715]) ).

thf(1815,plain,
    ! [SV93: $i] :
      ( ( ( ~ ~ ( k04_buttercup10100 @ sK73_SY188 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK74_X43 )
        = $true )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1715]) ).

thf(1816,plain,
    ! [SV93: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                            | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                      | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
                | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) )
          | ~ ~ ( k04_buttercup10100 @ sK73_SY188 ) )
        = $false )
      | ( ( b48_buttercup10108 @ sK74_X43 )
        = $false )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1716]) ).

thf(1817,plain,
    ! [SV93: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                            | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                      | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
                | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) )
          | ~ ~ ( k04_buttercup10100 @ sK73_SY188 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK74_X43 )
        = $true )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1718]) ).

thf(1818,plain,
    ! [SV93: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                                | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                          | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
                    | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) )
              | ~ ~ ( k04_buttercup10100 @ sK73_SY188 ) ) )
        = $true )
      | ( ( b48_buttercup10108 @ sK74_X43 )
        = $false )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1720]) ).

thf(1819,plain,
    ! [SV93: $i] :
      ( ( ( b48_buttercup10108 @ sK73_SY188 )
        = $true )
      | ( ( b48_buttercup10108 @ sK74_X43 )
        = $false )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1721]) ).

thf(1820,plain,
    ! [SV94: $i,SV111: $i,SV127: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK118_X19 )
                            | ~ ( k04_buttercup10619 @ sK118_X19 ) )
                      | ~ ( k04_buttercup10619 @ sK119_SY219 ) )
                | ~ ~ ( b48_buttercup10111 @ sK119_SY219 ) ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV127 )
        = $true )
      | ( ( b48_buttercup10111 @ SV127 )
        = $false )
      | ( ( b48_buttercup10111 @ SV111 )
        = $true )
      | ( ( k04_buttercup10619 @ SV111 )
        = $false )
      | ( ( k04_buttercup10619 @ SV94 )
        = $false )
      | ( ( b48_buttercup10111 @ SV94 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1722]) ).

thf(1821,plain,
    ! [SV94: $i,SV111: $i,SV127: $i] :
      ( ( ( ~ ~ ( k04_buttercup10619 @ sK120_SY221 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV127 )
        = $true )
      | ( ( b48_buttercup10111 @ SV127 )
        = $false )
      | ( ( b48_buttercup10111 @ SV111 )
        = $true )
      | ( ( k04_buttercup10619 @ SV111 )
        = $false )
      | ( ( k04_buttercup10619 @ SV94 )
        = $false )
      | ( ( b48_buttercup10111 @ SV94 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1722]) ).

thf(1822,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK114_X19 )
                            | ~ ( k04_buttercup10619 @ sK114_X19 ) )
                      | ~ ( k04_buttercup10619 @ sK115_SY216 ) )
                | ~ ~ ( b48_buttercup10111 @ sK115_SY216 ) ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK117_X23 )
        = $true )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1723]) ).

thf(1823,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( ~ ~ ( k04_buttercup10619 @ sK116_SY218 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK117_X23 )
        = $true )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1723]) ).

thf(1824,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK114_X19 )
                            | ~ ( k04_buttercup10619 @ sK114_X19 ) )
                      | ~ ( k04_buttercup10619 @ sK115_SY216 ) )
                | ~ ~ ( b48_buttercup10111 @ sK115_SY216 ) )
          | ~ ~ ( k04_buttercup10619 @ sK116_SY218 ) )
        = $false )
      | ( ( b48_buttercup10111 @ sK117_X23 )
        = $false )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1724]) ).

thf(1825,plain,
    ! [SV96: $i,SV128: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK110_X19 )
                            | ~ ( k04_buttercup10619 @ sK110_X19 ) )
                      | ~ ( k04_buttercup10619 @ sK111_SY213 ) )
                | ~ ~ ( b48_buttercup10111 @ sK111_SY213 ) ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV128 )
        = $true )
      | ( ( b48_buttercup10111 @ SV128 )
        = $false )
      | ( ( b48_buttercup10111 @ sK113_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1726]) ).

thf(1826,plain,
    ! [SV96: $i,SV128: $i] :
      ( ( ( ~ ~ ( k04_buttercup10619 @ sK112_SY215 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV128 )
        = $true )
      | ( ( b48_buttercup10111 @ SV128 )
        = $false )
      | ( ( b48_buttercup10111 @ sK113_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1726]) ).

thf(1827,plain,
    ! [SV96: $i,SV135: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK110_X19 )
                            | ~ ( k04_buttercup10619 @ sK110_X19 ) )
                      | ~ ( k04_buttercup10619 @ sK111_SY213 ) )
                | ~ ~ ( b48_buttercup10111 @ sK111_SY213 ) )
          | ~ ~ ( k04_buttercup10619 @ sK112_SY215 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV135 )
        = $true )
      | ( ( b48_buttercup10111 @ SV135 )
        = $false )
      | ( ( k04_buttercup10619 @ sK113_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1727]) ).

thf(1828,plain,
    ! [SV97: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                            | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                      | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
                | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK108_X23 )
        = $true )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1729]) ).

thf(1829,plain,
    ! [SV97: $i] :
      ( ( ( ~ ~ ( k04_buttercup10619 @ sK107_SY212 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK108_X23 )
        = $true )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1729]) ).

thf(1830,plain,
    ! [SV97: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                            | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                      | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
                | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) )
          | ~ ~ ( k04_buttercup10619 @ sK107_SY212 ) )
        = $false )
      | ( ( b48_buttercup10111 @ sK108_X23 )
        = $false )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1730]) ).

thf(1831,plain,
    ! [SV97: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                            | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                      | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
                | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) )
          | ~ ~ ( k04_buttercup10619 @ sK107_SY212 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK108_X23 )
        = $true )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1732]) ).

thf(1832,plain,
    ! [SV97: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                                | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                          | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
                    | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) )
              | ~ ~ ( k04_buttercup10619 @ sK107_SY212 ) ) )
        = $true )
      | ( ( b48_buttercup10111 @ sK108_X23 )
        = $false )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1734]) ).

thf(1833,plain,
    ! [SV97: $i] :
      ( ( ( b48_buttercup10111 @ sK107_SY212 )
        = $true )
      | ( ( b48_buttercup10111 @ sK108_X23 )
        = $false )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1735]) ).

thf(1834,plain,
    ! [SV69: $i,SV99: $i,SV115: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK48_X63 )
                          | ~ ( k04_buttercup10100 @ sK48_X63 ) )
                    | ~ ( k04_buttercup10100 @ sK49_SY171 ) )
              | ~ ~ ( b48_buttercup10102 @ sK49_SY171 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV115 )
        = $true )
      | ( ( b48_buttercup10102 @ SV115 )
        = $false )
      | ( ( b48_buttercup10102 @ SV99 )
        = $true )
      | ( ( k04_buttercup10100 @ SV99 )
        = $false )
      | ( ( k04_buttercup10100 @ SV69 )
        = $false )
      | ( ( b48_buttercup10102 @ SV69 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1736]) ).

thf(1835,plain,
    ! [SV69: $i,SV99: $i,SV115: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK50_SY173 ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV115 )
        = $true )
      | ( ( b48_buttercup10102 @ SV115 )
        = $false )
      | ( ( b48_buttercup10102 @ SV99 )
        = $true )
      | ( ( k04_buttercup10100 @ SV99 )
        = $false )
      | ( ( k04_buttercup10100 @ SV69 )
        = $false )
      | ( ( b48_buttercup10102 @ SV69 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1737]) ).

thf(1836,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK44_X63 )
                          | ~ ( k04_buttercup10100 @ sK44_X63 ) )
                    | ~ ( k04_buttercup10100 @ sK45_SY168 ) )
              | ~ ~ ( b48_buttercup10102 @ sK45_SY168 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK47_X67 )
        = $true )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1738]) ).

thf(1837,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK46_SY170 ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK47_X67 )
        = $true )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1739]) ).

thf(1838,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK44_X63 )
                            | ~ ( k04_buttercup10100 @ sK44_X63 ) )
                      | ~ ( k04_buttercup10100 @ sK45_SY168 ) )
                | ~ ~ ( b48_buttercup10102 @ sK45_SY168 ) ) )
        = $false )
      | ( ( b48_buttercup10102 @ sK47_X67 )
        = $false )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1740]) ).

thf(1839,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( ~ ~ ( k04_buttercup10100 @ sK46_SY170 ) )
        = $false )
      | ( ( b48_buttercup10102 @ sK47_X67 )
        = $false )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1740]) ).

thf(1840,plain,
    ! [SV71: $i,SV116: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK40_X63 )
                          | ~ ( k04_buttercup10100 @ sK40_X63 ) )
                    | ~ ( k04_buttercup10100 @ sK41_SY165 ) )
              | ~ ~ ( b48_buttercup10102 @ sK41_SY165 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV116 )
        = $true )
      | ( ( b48_buttercup10102 @ SV116 )
        = $false )
      | ( ( b48_buttercup10102 @ sK43_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1741]) ).

thf(1841,plain,
    ! [SV71: $i,SV116: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK42_SY167 ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV116 )
        = $true )
      | ( ( b48_buttercup10102 @ SV116 )
        = $false )
      | ( ( b48_buttercup10102 @ sK43_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1742]) ).

thf(1842,plain,
    ! [SV71: $i,SV129: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK40_X63 )
                            | ~ ( k04_buttercup10100 @ sK40_X63 ) )
                      | ~ ( k04_buttercup10100 @ sK41_SY165 ) )
                | ~ ~ ( b48_buttercup10102 @ sK41_SY165 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV129 )
        = $true )
      | ( ( b48_buttercup10102 @ SV129 )
        = $false )
      | ( ( k04_buttercup10100 @ sK43_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1743]) ).

thf(1843,plain,
    ! [SV71: $i,SV129: $i] :
      ( ( ( ~ ~ ( k04_buttercup10100 @ sK42_SY167 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV129 )
        = $true )
      | ( ( b48_buttercup10102 @ SV129 )
        = $false )
      | ( ( k04_buttercup10100 @ sK43_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1743]) ).

thf(1844,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                          | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                    | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
              | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK38_X67 )
        = $true )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1744]) ).

thf(1845,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK37_SY164 ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK38_X67 )
        = $true )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1745]) ).

thf(1846,plain,
    ! [SV72: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                            | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                      | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
                | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) ) )
        = $false )
      | ( ( b48_buttercup10102 @ sK38_X67 )
        = $false )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1746]) ).

thf(1847,plain,
    ! [SV72: $i] :
      ( ( ( ~ ~ ( k04_buttercup10100 @ sK37_SY164 ) )
        = $false )
      | ( ( b48_buttercup10102 @ sK38_X67 )
        = $false )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1746]) ).

thf(1848,plain,
    ! [SV72: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                            | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                      | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
                | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK38_X67 )
        = $true )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1747]) ).

thf(1849,plain,
    ! [SV72: $i] :
      ( ( ( ~ ~ ( k04_buttercup10100 @ sK37_SY164 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK38_X67 )
        = $true )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1747]) ).

thf(1850,plain,
    ! [SV72: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                            | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                      | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
                | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) )
          | ~ ~ ( k04_buttercup10100 @ sK37_SY164 ) )
        = $false )
      | ( ( b48_buttercup10102 @ sK38_X67 )
        = $false )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1748]) ).

thf(1851,plain,
    ! [SV74: $i,SV101: $i,SV117: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK101_X29 )
                          | ~ ( k04_buttercup10619 @ sK101_X29 ) )
                    | ~ ( k04_buttercup10619 @ sK102_SY207 ) )
              | ~ ~ ( b48_buttercup10109 @ sK102_SY207 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV117 )
        = $true )
      | ( ( b48_buttercup10109 @ SV117 )
        = $false )
      | ( ( b48_buttercup10109 @ SV101 )
        = $true )
      | ( ( k04_buttercup10619 @ SV101 )
        = $false )
      | ( ( k04_buttercup10619 @ SV74 )
        = $false )
      | ( ( b48_buttercup10109 @ SV74 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1750]) ).

thf(1852,plain,
    ! [SV74: $i,SV101: $i,SV117: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK103_SY209 ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV117 )
        = $true )
      | ( ( b48_buttercup10109 @ SV117 )
        = $false )
      | ( ( b48_buttercup10109 @ SV101 )
        = $true )
      | ( ( k04_buttercup10619 @ SV101 )
        = $false )
      | ( ( k04_buttercup10619 @ SV74 )
        = $false )
      | ( ( b48_buttercup10109 @ SV74 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1751]) ).

thf(1853,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK97_X29 )
                          | ~ ( k04_buttercup10619 @ sK97_X29 ) )
                    | ~ ( k04_buttercup10619 @ sK98_SY204 ) )
              | ~ ~ ( b48_buttercup10109 @ sK98_SY204 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ sK100_X33 )
        = $true )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1752]) ).

thf(1854,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK99_SY206 ) )
        = $true )
      | ( ( k04_buttercup10619 @ sK100_X33 )
        = $true )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1753]) ).

thf(1855,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK97_X29 )
                            | ~ ( k04_buttercup10619 @ sK97_X29 ) )
                      | ~ ( k04_buttercup10619 @ sK98_SY204 ) )
                | ~ ~ ( b48_buttercup10109 @ sK98_SY204 ) ) )
        = $false )
      | ( ( b48_buttercup10109 @ sK100_X33 )
        = $false )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1754]) ).

thf(1856,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( ~ ~ ( k04_buttercup10619 @ sK99_SY206 ) )
        = $false )
      | ( ( b48_buttercup10109 @ sK100_X33 )
        = $false )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1754]) ).

thf(1857,plain,
    ! [SV76: $i,SV118: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK93_X29 )
                          | ~ ( k04_buttercup10619 @ sK93_X29 ) )
                    | ~ ( k04_buttercup10619 @ sK94_SY201 ) )
              | ~ ~ ( b48_buttercup10109 @ sK94_SY201 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV118 )
        = $true )
      | ( ( b48_buttercup10109 @ SV118 )
        = $false )
      | ( ( b48_buttercup10109 @ sK96_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1755]) ).

thf(1858,plain,
    ! [SV76: $i,SV118: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK95_SY203 ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV118 )
        = $true )
      | ( ( b48_buttercup10109 @ SV118 )
        = $false )
      | ( ( b48_buttercup10109 @ sK96_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1756]) ).

thf(1859,plain,
    ! [SV76: $i,SV130: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK93_X29 )
                            | ~ ( k04_buttercup10619 @ sK93_X29 ) )
                      | ~ ( k04_buttercup10619 @ sK94_SY201 ) )
                | ~ ~ ( b48_buttercup10109 @ sK94_SY201 ) ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV130 )
        = $true )
      | ( ( b48_buttercup10109 @ SV130 )
        = $false )
      | ( ( k04_buttercup10619 @ sK96_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1757]) ).

thf(1860,plain,
    ! [SV76: $i,SV130: $i] :
      ( ( ( ~ ~ ( k04_buttercup10619 @ sK95_SY203 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV130 )
        = $true )
      | ( ( b48_buttercup10109 @ SV130 )
        = $false )
      | ( ( k04_buttercup10619 @ sK96_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1757]) ).

thf(1861,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                          | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                    | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
              | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ sK91_X33 )
        = $true )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1758]) ).

thf(1862,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK90_SY200 ) )
        = $true )
      | ( ( k04_buttercup10619 @ sK91_X33 )
        = $true )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1759]) ).

thf(1863,plain,
    ! [SV77: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                            | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                      | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
                | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) ) )
        = $false )
      | ( ( b48_buttercup10109 @ sK91_X33 )
        = $false )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1760]) ).

thf(1864,plain,
    ! [SV77: $i] :
      ( ( ( ~ ~ ( k04_buttercup10619 @ sK90_SY200 ) )
        = $false )
      | ( ( b48_buttercup10109 @ sK91_X33 )
        = $false )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1760]) ).

thf(1865,plain,
    ! [SV77: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                            | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                      | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
                | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK91_X33 )
        = $true )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1761]) ).

thf(1866,plain,
    ! [SV77: $i] :
      ( ( ( ~ ~ ( k04_buttercup10619 @ sK90_SY200 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK91_X33 )
        = $true )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1761]) ).

thf(1867,plain,
    ! [SV77: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                            | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                      | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
                | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) )
          | ~ ~ ( k04_buttercup10619 @ sK90_SY200 ) )
        = $false )
      | ( ( b48_buttercup10109 @ sK91_X33 )
        = $false )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1762]) ).

thf(1868,plain,
    ! [SV78: $i,SV103: $i,SV119: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK31_X74 )
                          | ~ ( k04_buttercup10100 @ sK31_X74 ) )
                    | ~ ( k04_buttercup10100 @ sK32_SY159 ) )
              | ~ ~ ( b48_buttercup10107 @ sK32_SY159 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV119 )
        = $true )
      | ( ( b48_buttercup10107 @ SV119 )
        = $false )
      | ( ( b48_buttercup10107 @ SV103 )
        = $true )
      | ( ( k04_buttercup10100 @ SV103 )
        = $false )
      | ( ( k04_buttercup10100 @ SV78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV78 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1764]) ).

thf(1869,plain,
    ! [SV78: $i,SV103: $i,SV119: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK33_SY161 ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV119 )
        = $true )
      | ( ( b48_buttercup10107 @ SV119 )
        = $false )
      | ( ( b48_buttercup10107 @ SV103 )
        = $true )
      | ( ( k04_buttercup10100 @ SV103 )
        = $false )
      | ( ( k04_buttercup10100 @ SV78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV78 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1765]) ).

thf(1870,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK27_X74 )
                          | ~ ( k04_buttercup10100 @ sK27_X74 ) )
                    | ~ ( k04_buttercup10100 @ sK28_SY156 ) )
              | ~ ~ ( b48_buttercup10107 @ sK28_SY156 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK30_X78 )
        = $true )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1766]) ).

thf(1871,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK29_SY158 ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK30_X78 )
        = $true )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1767]) ).

thf(1872,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK27_X74 )
                            | ~ ( k04_buttercup10100 @ sK27_X74 ) )
                      | ~ ( k04_buttercup10100 @ sK28_SY156 ) )
                | ~ ~ ( b48_buttercup10107 @ sK28_SY156 ) ) )
        = $false )
      | ( ( b48_buttercup10107 @ sK30_X78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1768]) ).

thf(1873,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( ~ ~ ( k04_buttercup10100 @ sK29_SY158 ) )
        = $false )
      | ( ( b48_buttercup10107 @ sK30_X78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1768]) ).

thf(1874,plain,
    ! [SV80: $i,SV120: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK23_X74 )
                          | ~ ( k04_buttercup10100 @ sK23_X74 ) )
                    | ~ ( k04_buttercup10100 @ sK24_SY153 ) )
              | ~ ~ ( b48_buttercup10107 @ sK24_SY153 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV120 )
        = $true )
      | ( ( b48_buttercup10107 @ SV120 )
        = $false )
      | ( ( b48_buttercup10107 @ sK26_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1769]) ).

thf(1875,plain,
    ! [SV80: $i,SV120: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK25_SY155 ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV120 )
        = $true )
      | ( ( b48_buttercup10107 @ SV120 )
        = $false )
      | ( ( b48_buttercup10107 @ sK26_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1770]) ).

thf(1876,plain,
    ! [SV80: $i,SV131: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK23_X74 )
                            | ~ ( k04_buttercup10100 @ sK23_X74 ) )
                      | ~ ( k04_buttercup10100 @ sK24_SY153 ) )
                | ~ ~ ( b48_buttercup10107 @ sK24_SY153 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV131 )
        = $true )
      | ( ( b48_buttercup10107 @ SV131 )
        = $false )
      | ( ( k04_buttercup10100 @ sK26_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1771]) ).

thf(1877,plain,
    ! [SV80: $i,SV131: $i] :
      ( ( ( ~ ~ ( k04_buttercup10100 @ sK25_SY155 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV131 )
        = $true )
      | ( ( b48_buttercup10107 @ SV131 )
        = $false )
      | ( ( k04_buttercup10100 @ sK26_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1771]) ).

thf(1878,plain,
    ! [SV81: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                          | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                    | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
              | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK21_X78 )
        = $true )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1772]) ).

thf(1879,plain,
    ! [SV81: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK20_SY152 ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK21_X78 )
        = $true )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1773]) ).

thf(1880,plain,
    ! [SV81: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                            | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                      | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
                | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) ) )
        = $false )
      | ( ( b48_buttercup10107 @ sK21_X78 )
        = $false )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1774]) ).

thf(1881,plain,
    ! [SV81: $i] :
      ( ( ( ~ ~ ( k04_buttercup10100 @ sK20_SY152 ) )
        = $false )
      | ( ( b48_buttercup10107 @ sK21_X78 )
        = $false )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1774]) ).

thf(1882,plain,
    ! [SV81: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                            | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                      | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
                | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK21_X78 )
        = $true )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1775]) ).

thf(1883,plain,
    ! [SV81: $i] :
      ( ( ( ~ ~ ( k04_buttercup10100 @ sK20_SY152 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK21_X78 )
        = $true )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1775]) ).

thf(1884,plain,
    ! [SV81: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                            | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                      | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
                | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) )
          | ~ ~ ( k04_buttercup10100 @ sK20_SY152 ) )
        = $false )
      | ( ( b48_buttercup10107 @ sK21_X78 )
        = $false )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1776]) ).

thf(1885,plain,
    ! [SV82: $i,SV105: $i,SV121: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK135_X9 )
                          | ~ ( k04_buttercup10100 @ sK135_X9 ) )
                    | ~ ( k04_buttercup10100 @ sK136_SY231 ) )
              | ~ ~ ( b48_buttercup10104 @ sK136_SY231 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV121 )
        = $true )
      | ( ( b48_buttercup10104 @ SV121 )
        = $false )
      | ( ( b48_buttercup10104 @ SV105 )
        = $true )
      | ( ( k04_buttercup10100 @ SV105 )
        = $false )
      | ( ( k04_buttercup10100 @ SV82 )
        = $false )
      | ( ( b48_buttercup10104 @ SV82 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1778]) ).

thf(1886,plain,
    ! [SV82: $i,SV105: $i,SV121: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK137_SY233 ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV121 )
        = $true )
      | ( ( b48_buttercup10104 @ SV121 )
        = $false )
      | ( ( b48_buttercup10104 @ SV105 )
        = $true )
      | ( ( k04_buttercup10100 @ SV105 )
        = $false )
      | ( ( k04_buttercup10100 @ SV82 )
        = $false )
      | ( ( b48_buttercup10104 @ SV82 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1779]) ).

thf(1887,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK131_X9 )
                          | ~ ( k04_buttercup10100 @ sK131_X9 ) )
                    | ~ ( k04_buttercup10100 @ sK132_SY228 ) )
              | ~ ~ ( b48_buttercup10104 @ sK132_SY228 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK134_X13 )
        = $true )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1780]) ).

thf(1888,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK133_SY230 ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK134_X13 )
        = $true )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1781]) ).

thf(1889,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK131_X9 )
                            | ~ ( k04_buttercup10100 @ sK131_X9 ) )
                      | ~ ( k04_buttercup10100 @ sK132_SY228 ) )
                | ~ ~ ( b48_buttercup10104 @ sK132_SY228 ) ) )
        = $false )
      | ( ( b48_buttercup10104 @ sK134_X13 )
        = $false )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1782]) ).

thf(1890,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( ~ ~ ( k04_buttercup10100 @ sK133_SY230 ) )
        = $false )
      | ( ( b48_buttercup10104 @ sK134_X13 )
        = $false )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1782]) ).

thf(1891,plain,
    ! [SV84: $i,SV122: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK127_X9 )
                          | ~ ( k04_buttercup10100 @ sK127_X9 ) )
                    | ~ ( k04_buttercup10100 @ sK128_SY225 ) )
              | ~ ~ ( b48_buttercup10104 @ sK128_SY225 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV122 )
        = $true )
      | ( ( b48_buttercup10104 @ SV122 )
        = $false )
      | ( ( b48_buttercup10104 @ sK130_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1783]) ).

thf(1892,plain,
    ! [SV84: $i,SV122: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK129_SY227 ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV122 )
        = $true )
      | ( ( b48_buttercup10104 @ SV122 )
        = $false )
      | ( ( b48_buttercup10104 @ sK130_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1784]) ).

thf(1893,plain,
    ! [SV84: $i,SV132: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK127_X9 )
                            | ~ ( k04_buttercup10100 @ sK127_X9 ) )
                      | ~ ( k04_buttercup10100 @ sK128_SY225 ) )
                | ~ ~ ( b48_buttercup10104 @ sK128_SY225 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV132 )
        = $true )
      | ( ( b48_buttercup10104 @ SV132 )
        = $false )
      | ( ( k04_buttercup10100 @ sK130_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1785]) ).

thf(1894,plain,
    ! [SV84: $i,SV132: $i] :
      ( ( ( ~ ~ ( k04_buttercup10100 @ sK129_SY227 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV132 )
        = $true )
      | ( ( b48_buttercup10104 @ SV132 )
        = $false )
      | ( ( k04_buttercup10100 @ sK130_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1785]) ).

thf(1895,plain,
    ! [SV85: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                          | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                    | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
              | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK125_X13 )
        = $true )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1786]) ).

thf(1896,plain,
    ! [SV85: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK124_SY224 ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK125_X13 )
        = $true )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1787]) ).

thf(1897,plain,
    ! [SV85: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                            | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                      | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
                | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) ) )
        = $false )
      | ( ( b48_buttercup10104 @ sK125_X13 )
        = $false )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1788]) ).

thf(1898,plain,
    ! [SV85: $i] :
      ( ( ( ~ ~ ( k04_buttercup10100 @ sK124_SY224 ) )
        = $false )
      | ( ( b48_buttercup10104 @ sK125_X13 )
        = $false )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1788]) ).

thf(1899,plain,
    ! [SV85: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                            | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                      | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
                | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK125_X13 )
        = $true )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1789]) ).

thf(1900,plain,
    ! [SV85: $i] :
      ( ( ( ~ ~ ( k04_buttercup10100 @ sK124_SY224 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK125_X13 )
        = $true )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1789]) ).

thf(1901,plain,
    ! [SV85: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                            | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                      | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
                | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) )
          | ~ ~ ( k04_buttercup10100 @ sK124_SY224 ) )
        = $false )
      | ( ( b48_buttercup10104 @ sK125_X13 )
        = $false )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1790]) ).

thf(1902,plain,
    ! [SV86: $i,SV107: $i,SV123: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK68_X47 )
                          | ~ ( k04_buttercup10100 @ sK68_X47 ) )
                    | ~ ( k04_buttercup10100 @ sK69_SY183 ) )
              | ~ ~ ( b48_buttercup10110 @ sK69_SY183 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV123 )
        = $true )
      | ( ( b48_buttercup10110 @ SV123 )
        = $false )
      | ( ( b48_buttercup10110 @ SV107 )
        = $true )
      | ( ( k04_buttercup10100 @ SV107 )
        = $false )
      | ( ( k04_buttercup10100 @ SV86 )
        = $false )
      | ( ( b48_buttercup10110 @ SV86 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1792]) ).

thf(1903,plain,
    ! [SV86: $i,SV107: $i,SV123: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK70_SY185 ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV123 )
        = $true )
      | ( ( b48_buttercup10110 @ SV123 )
        = $false )
      | ( ( b48_buttercup10110 @ SV107 )
        = $true )
      | ( ( k04_buttercup10100 @ SV107 )
        = $false )
      | ( ( k04_buttercup10100 @ SV86 )
        = $false )
      | ( ( b48_buttercup10110 @ SV86 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1793]) ).

thf(1904,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK64_X47 )
                          | ~ ( k04_buttercup10100 @ sK64_X47 ) )
                    | ~ ( k04_buttercup10100 @ sK65_SY180 ) )
              | ~ ~ ( b48_buttercup10110 @ sK65_SY180 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK67_X51 )
        = $true )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1794]) ).

thf(1905,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK66_SY182 ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK67_X51 )
        = $true )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1795]) ).

thf(1906,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK64_X47 )
                            | ~ ( k04_buttercup10100 @ sK64_X47 ) )
                      | ~ ( k04_buttercup10100 @ sK65_SY180 ) )
                | ~ ~ ( b48_buttercup10110 @ sK65_SY180 ) ) )
        = $false )
      | ( ( b48_buttercup10110 @ sK67_X51 )
        = $false )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1796]) ).

thf(1907,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( ~ ~ ( k04_buttercup10100 @ sK66_SY182 ) )
        = $false )
      | ( ( b48_buttercup10110 @ sK67_X51 )
        = $false )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1796]) ).

thf(1908,plain,
    ! [SV88: $i,SV124: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK60_X47 )
                          | ~ ( k04_buttercup10100 @ sK60_X47 ) )
                    | ~ ( k04_buttercup10100 @ sK61_SY177 ) )
              | ~ ~ ( b48_buttercup10110 @ sK61_SY177 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV124 )
        = $true )
      | ( ( b48_buttercup10110 @ SV124 )
        = $false )
      | ( ( b48_buttercup10110 @ sK63_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1797]) ).

thf(1909,plain,
    ! [SV88: $i,SV124: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK62_SY179 ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV124 )
        = $true )
      | ( ( b48_buttercup10110 @ SV124 )
        = $false )
      | ( ( b48_buttercup10110 @ sK63_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1798]) ).

thf(1910,plain,
    ! [SV88: $i,SV133: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK60_X47 )
                            | ~ ( k04_buttercup10100 @ sK60_X47 ) )
                      | ~ ( k04_buttercup10100 @ sK61_SY177 ) )
                | ~ ~ ( b48_buttercup10110 @ sK61_SY177 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV133 )
        = $true )
      | ( ( b48_buttercup10110 @ SV133 )
        = $false )
      | ( ( k04_buttercup10100 @ sK63_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1799]) ).

thf(1911,plain,
    ! [SV88: $i,SV133: $i] :
      ( ( ( ~ ~ ( k04_buttercup10100 @ sK62_SY179 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV133 )
        = $true )
      | ( ( b48_buttercup10110 @ SV133 )
        = $false )
      | ( ( k04_buttercup10100 @ sK63_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1799]) ).

thf(1912,plain,
    ! [SV89: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                          | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                    | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
              | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK58_X51 )
        = $true )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1800]) ).

thf(1913,plain,
    ! [SV89: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK57_SY176 ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK58_X51 )
        = $true )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1801]) ).

thf(1914,plain,
    ! [SV89: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                            | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                      | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
                | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) ) )
        = $false )
      | ( ( b48_buttercup10110 @ sK58_X51 )
        = $false )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1802]) ).

thf(1915,plain,
    ! [SV89: $i] :
      ( ( ( ~ ~ ( k04_buttercup10100 @ sK57_SY176 ) )
        = $false )
      | ( ( b48_buttercup10110 @ sK58_X51 )
        = $false )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1802]) ).

thf(1916,plain,
    ! [SV89: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                            | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                      | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
                | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK58_X51 )
        = $true )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1803]) ).

thf(1917,plain,
    ! [SV89: $i] :
      ( ( ( ~ ~ ( k04_buttercup10100 @ sK57_SY176 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK58_X51 )
        = $true )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1803]) ).

thf(1918,plain,
    ! [SV89: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                            | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                      | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
                | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) )
          | ~ ~ ( k04_buttercup10100 @ sK57_SY176 ) )
        = $false )
      | ( ( b48_buttercup10110 @ sK58_X51 )
        = $false )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1804]) ).

thf(1919,plain,
    ! [SV90: $i,SV109: $i,SV125: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK84_X39 )
                          | ~ ( k04_buttercup10100 @ sK84_X39 ) )
                    | ~ ( k04_buttercup10100 @ sK85_SY195 ) )
              | ~ ~ ( b48_buttercup10108 @ sK85_SY195 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV125 )
        = $true )
      | ( ( b48_buttercup10108 @ SV125 )
        = $false )
      | ( ( b48_buttercup10108 @ SV109 )
        = $true )
      | ( ( k04_buttercup10100 @ SV109 )
        = $false )
      | ( ( k04_buttercup10100 @ SV90 )
        = $false )
      | ( ( b48_buttercup10108 @ SV90 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1806]) ).

thf(1920,plain,
    ! [SV90: $i,SV109: $i,SV125: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK86_SY197 ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV125 )
        = $true )
      | ( ( b48_buttercup10108 @ SV125 )
        = $false )
      | ( ( b48_buttercup10108 @ SV109 )
        = $true )
      | ( ( k04_buttercup10100 @ SV109 )
        = $false )
      | ( ( k04_buttercup10100 @ SV90 )
        = $false )
      | ( ( b48_buttercup10108 @ SV90 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1807]) ).

thf(1921,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK80_X39 )
                          | ~ ( k04_buttercup10100 @ sK80_X39 ) )
                    | ~ ( k04_buttercup10100 @ sK81_SY192 ) )
              | ~ ~ ( b48_buttercup10108 @ sK81_SY192 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK83_X43 )
        = $true )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1808]) ).

thf(1922,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK82_SY194 ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK83_X43 )
        = $true )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1809]) ).

thf(1923,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK80_X39 )
                            | ~ ( k04_buttercup10100 @ sK80_X39 ) )
                      | ~ ( k04_buttercup10100 @ sK81_SY192 ) )
                | ~ ~ ( b48_buttercup10108 @ sK81_SY192 ) ) )
        = $false )
      | ( ( b48_buttercup10108 @ sK83_X43 )
        = $false )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1810]) ).

thf(1924,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( ~ ~ ( k04_buttercup10100 @ sK82_SY194 ) )
        = $false )
      | ( ( b48_buttercup10108 @ sK83_X43 )
        = $false )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1810]) ).

thf(1925,plain,
    ! [SV92: $i,SV126: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK76_X39 )
                          | ~ ( k04_buttercup10100 @ sK76_X39 ) )
                    | ~ ( k04_buttercup10100 @ sK77_SY189 ) )
              | ~ ~ ( b48_buttercup10108 @ sK77_SY189 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV126 )
        = $true )
      | ( ( b48_buttercup10108 @ SV126 )
        = $false )
      | ( ( b48_buttercup10108 @ sK79_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1811]) ).

thf(1926,plain,
    ! [SV92: $i,SV126: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK78_SY191 ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV126 )
        = $true )
      | ( ( b48_buttercup10108 @ SV126 )
        = $false )
      | ( ( b48_buttercup10108 @ sK79_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1812]) ).

thf(1927,plain,
    ! [SV92: $i,SV134: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK76_X39 )
                            | ~ ( k04_buttercup10100 @ sK76_X39 ) )
                      | ~ ( k04_buttercup10100 @ sK77_SY189 ) )
                | ~ ~ ( b48_buttercup10108 @ sK77_SY189 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV134 )
        = $true )
      | ( ( b48_buttercup10108 @ SV134 )
        = $false )
      | ( ( k04_buttercup10100 @ sK79_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1813]) ).

thf(1928,plain,
    ! [SV92: $i,SV134: $i] :
      ( ( ( ~ ~ ( k04_buttercup10100 @ sK78_SY191 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV134 )
        = $true )
      | ( ( b48_buttercup10108 @ SV134 )
        = $false )
      | ( ( k04_buttercup10100 @ sK79_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1813]) ).

thf(1929,plain,
    ! [SV93: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                          | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                    | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
              | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK74_X43 )
        = $true )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1814]) ).

thf(1930,plain,
    ! [SV93: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK73_SY188 ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK74_X43 )
        = $true )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1815]) ).

thf(1931,plain,
    ! [SV93: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                            | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                      | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
                | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) ) )
        = $false )
      | ( ( b48_buttercup10108 @ sK74_X43 )
        = $false )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1816]) ).

thf(1932,plain,
    ! [SV93: $i] :
      ( ( ( ~ ~ ( k04_buttercup10100 @ sK73_SY188 ) )
        = $false )
      | ( ( b48_buttercup10108 @ sK74_X43 )
        = $false )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1816]) ).

thf(1933,plain,
    ! [SV93: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                            | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                      | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
                | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK74_X43 )
        = $true )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1817]) ).

thf(1934,plain,
    ! [SV93: $i] :
      ( ( ( ~ ~ ( k04_buttercup10100 @ sK73_SY188 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK74_X43 )
        = $true )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1817]) ).

thf(1935,plain,
    ! [SV93: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                            | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                      | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
                | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) )
          | ~ ~ ( k04_buttercup10100 @ sK73_SY188 ) )
        = $false )
      | ( ( b48_buttercup10108 @ sK74_X43 )
        = $false )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1818]) ).

thf(1936,plain,
    ! [SV94: $i,SV111: $i,SV127: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK118_X19 )
                          | ~ ( k04_buttercup10619 @ sK118_X19 ) )
                    | ~ ( k04_buttercup10619 @ sK119_SY219 ) )
              | ~ ~ ( b48_buttercup10111 @ sK119_SY219 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV127 )
        = $true )
      | ( ( b48_buttercup10111 @ SV127 )
        = $false )
      | ( ( b48_buttercup10111 @ SV111 )
        = $true )
      | ( ( k04_buttercup10619 @ SV111 )
        = $false )
      | ( ( k04_buttercup10619 @ SV94 )
        = $false )
      | ( ( b48_buttercup10111 @ SV94 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1820]) ).

thf(1937,plain,
    ! [SV94: $i,SV111: $i,SV127: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK120_SY221 ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV127 )
        = $true )
      | ( ( b48_buttercup10111 @ SV127 )
        = $false )
      | ( ( b48_buttercup10111 @ SV111 )
        = $true )
      | ( ( k04_buttercup10619 @ SV111 )
        = $false )
      | ( ( k04_buttercup10619 @ SV94 )
        = $false )
      | ( ( b48_buttercup10111 @ SV94 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1821]) ).

thf(1938,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK114_X19 )
                          | ~ ( k04_buttercup10619 @ sK114_X19 ) )
                    | ~ ( k04_buttercup10619 @ sK115_SY216 ) )
              | ~ ~ ( b48_buttercup10111 @ sK115_SY216 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ sK117_X23 )
        = $true )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1822]) ).

thf(1939,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK116_SY218 ) )
        = $true )
      | ( ( k04_buttercup10619 @ sK117_X23 )
        = $true )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1823]) ).

thf(1940,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK114_X19 )
                            | ~ ( k04_buttercup10619 @ sK114_X19 ) )
                      | ~ ( k04_buttercup10619 @ sK115_SY216 ) )
                | ~ ~ ( b48_buttercup10111 @ sK115_SY216 ) ) )
        = $false )
      | ( ( b48_buttercup10111 @ sK117_X23 )
        = $false )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1824]) ).

thf(1941,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( ~ ~ ( k04_buttercup10619 @ sK116_SY218 ) )
        = $false )
      | ( ( b48_buttercup10111 @ sK117_X23 )
        = $false )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1824]) ).

thf(1942,plain,
    ! [SV96: $i,SV128: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK110_X19 )
                          | ~ ( k04_buttercup10619 @ sK110_X19 ) )
                    | ~ ( k04_buttercup10619 @ sK111_SY213 ) )
              | ~ ~ ( b48_buttercup10111 @ sK111_SY213 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV128 )
        = $true )
      | ( ( b48_buttercup10111 @ SV128 )
        = $false )
      | ( ( b48_buttercup10111 @ sK113_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1825]) ).

thf(1943,plain,
    ! [SV96: $i,SV128: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK112_SY215 ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV128 )
        = $true )
      | ( ( b48_buttercup10111 @ SV128 )
        = $false )
      | ( ( b48_buttercup10111 @ sK113_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1826]) ).

thf(1944,plain,
    ! [SV96: $i,SV135: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK110_X19 )
                            | ~ ( k04_buttercup10619 @ sK110_X19 ) )
                      | ~ ( k04_buttercup10619 @ sK111_SY213 ) )
                | ~ ~ ( b48_buttercup10111 @ sK111_SY213 ) ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV135 )
        = $true )
      | ( ( b48_buttercup10111 @ SV135 )
        = $false )
      | ( ( k04_buttercup10619 @ sK113_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1827]) ).

thf(1945,plain,
    ! [SV96: $i,SV135: $i] :
      ( ( ( ~ ~ ( k04_buttercup10619 @ sK112_SY215 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV135 )
        = $true )
      | ( ( b48_buttercup10111 @ SV135 )
        = $false )
      | ( ( k04_buttercup10619 @ sK113_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1827]) ).

thf(1946,plain,
    ! [SV97: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                          | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                    | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
              | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ sK108_X23 )
        = $true )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1828]) ).

thf(1947,plain,
    ! [SV97: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK107_SY212 ) )
        = $true )
      | ( ( k04_buttercup10619 @ sK108_X23 )
        = $true )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1829]) ).

thf(1948,plain,
    ! [SV97: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                            | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                      | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
                | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) ) )
        = $false )
      | ( ( b48_buttercup10111 @ sK108_X23 )
        = $false )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1830]) ).

thf(1949,plain,
    ! [SV97: $i] :
      ( ( ( ~ ~ ( k04_buttercup10619 @ sK107_SY212 ) )
        = $false )
      | ( ( b48_buttercup10111 @ sK108_X23 )
        = $false )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1830]) ).

thf(1950,plain,
    ! [SV97: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                            | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                      | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
                | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK108_X23 )
        = $true )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1831]) ).

thf(1951,plain,
    ! [SV97: $i] :
      ( ( ( ~ ~ ( k04_buttercup10619 @ sK107_SY212 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK108_X23 )
        = $true )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1831]) ).

thf(1952,plain,
    ! [SV97: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                            | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                      | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
                | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) )
          | ~ ~ ( k04_buttercup10619 @ sK107_SY212 ) )
        = $false )
      | ( ( b48_buttercup10111 @ sK108_X23 )
        = $false )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1832]) ).

thf(1953,plain,
    ! [SV69: $i,SV99: $i,SV115: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK48_X63 )
                      | ~ ( k04_buttercup10100 @ sK48_X63 ) )
                | ~ ( k04_buttercup10100 @ sK49_SY171 ) )
          | ~ ~ ( b48_buttercup10102 @ sK49_SY171 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV115 )
        = $true )
      | ( ( b48_buttercup10102 @ SV115 )
        = $false )
      | ( ( b48_buttercup10102 @ SV99 )
        = $true )
      | ( ( k04_buttercup10100 @ SV99 )
        = $false )
      | ( ( k04_buttercup10100 @ SV69 )
        = $false )
      | ( ( b48_buttercup10102 @ SV69 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1834]) ).

thf(1954,plain,
    ! [SV69: $i,SV99: $i,SV115: $i] :
      ( ( ( k04_buttercup10100 @ sK50_SY173 )
        = $false )
      | ( ( k04_buttercup10100 @ SV115 )
        = $true )
      | ( ( b48_buttercup10102 @ SV115 )
        = $false )
      | ( ( b48_buttercup10102 @ SV99 )
        = $true )
      | ( ( k04_buttercup10100 @ SV99 )
        = $false )
      | ( ( k04_buttercup10100 @ SV69 )
        = $false )
      | ( ( b48_buttercup10102 @ SV69 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1835]) ).

thf(1955,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK44_X63 )
                      | ~ ( k04_buttercup10100 @ sK44_X63 ) )
                | ~ ( k04_buttercup10100 @ sK45_SY168 ) )
          | ~ ~ ( b48_buttercup10102 @ sK45_SY168 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK47_X67 )
        = $true )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1836]) ).

thf(1956,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( k04_buttercup10100 @ sK46_SY170 )
        = $false )
      | ( ( k04_buttercup10100 @ sK47_X67 )
        = $true )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1837]) ).

thf(1957,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK44_X63 )
                          | ~ ( k04_buttercup10100 @ sK44_X63 ) )
                    | ~ ( k04_buttercup10100 @ sK45_SY168 ) )
              | ~ ~ ( b48_buttercup10102 @ sK45_SY168 ) ) )
        = $true )
      | ( ( b48_buttercup10102 @ sK47_X67 )
        = $false )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1838]) ).

thf(1958,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK46_SY170 ) )
        = $true )
      | ( ( b48_buttercup10102 @ sK47_X67 )
        = $false )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1839]) ).

thf(1959,plain,
    ! [SV71: $i,SV116: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK40_X63 )
                      | ~ ( k04_buttercup10100 @ sK40_X63 ) )
                | ~ ( k04_buttercup10100 @ sK41_SY165 ) )
          | ~ ~ ( b48_buttercup10102 @ sK41_SY165 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV116 )
        = $true )
      | ( ( b48_buttercup10102 @ SV116 )
        = $false )
      | ( ( b48_buttercup10102 @ sK43_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1840]) ).

thf(1960,plain,
    ! [SV71: $i,SV116: $i] :
      ( ( ( k04_buttercup10100 @ sK42_SY167 )
        = $false )
      | ( ( k04_buttercup10100 @ SV116 )
        = $true )
      | ( ( b48_buttercup10102 @ SV116 )
        = $false )
      | ( ( b48_buttercup10102 @ sK43_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1841]) ).

thf(1961,plain,
    ! [SV71: $i,SV129: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK40_X63 )
                          | ~ ( k04_buttercup10100 @ sK40_X63 ) )
                    | ~ ( k04_buttercup10100 @ sK41_SY165 ) )
              | ~ ~ ( b48_buttercup10102 @ sK41_SY165 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV129 )
        = $true )
      | ( ( b48_buttercup10102 @ SV129 )
        = $false )
      | ( ( k04_buttercup10100 @ sK43_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1842]) ).

thf(1962,plain,
    ! [SV71: $i,SV129: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK42_SY167 ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV129 )
        = $true )
      | ( ( b48_buttercup10102 @ SV129 )
        = $false )
      | ( ( k04_buttercup10100 @ sK43_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1843]) ).

thf(1963,plain,
    ! [SV72: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                      | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
          | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK38_X67 )
        = $true )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1844]) ).

thf(1964,plain,
    ! [SV72: $i] :
      ( ( ( k04_buttercup10100 @ sK37_SY164 )
        = $false )
      | ( ( k04_buttercup10100 @ sK38_X67 )
        = $true )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1845]) ).

thf(1965,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                          | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                    | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
              | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) ) )
        = $true )
      | ( ( b48_buttercup10102 @ sK38_X67 )
        = $false )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1846]) ).

thf(1966,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK37_SY164 ) )
        = $true )
      | ( ( b48_buttercup10102 @ sK38_X67 )
        = $false )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1847]) ).

thf(1967,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                          | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                    | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
              | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK38_X67 )
        = $true )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1848]) ).

thf(1968,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK37_SY164 ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK38_X67 )
        = $true )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1849]) ).

thf(1969,plain,
    ! [SV72: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                            | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                      | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
                | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) ) )
        = $false )
      | ( ( b48_buttercup10102 @ sK38_X67 )
        = $false )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1850]) ).

thf(1970,plain,
    ! [SV72: $i] :
      ( ( ( ~ ~ ( k04_buttercup10100 @ sK37_SY164 ) )
        = $false )
      | ( ( b48_buttercup10102 @ sK38_X67 )
        = $false )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1850]) ).

thf(1971,plain,
    ! [SV74: $i,SV101: $i,SV117: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK101_X29 )
                      | ~ ( k04_buttercup10619 @ sK101_X29 ) )
                | ~ ( k04_buttercup10619 @ sK102_SY207 ) )
          | ~ ~ ( b48_buttercup10109 @ sK102_SY207 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV117 )
        = $true )
      | ( ( b48_buttercup10109 @ SV117 )
        = $false )
      | ( ( b48_buttercup10109 @ SV101 )
        = $true )
      | ( ( k04_buttercup10619 @ SV101 )
        = $false )
      | ( ( k04_buttercup10619 @ SV74 )
        = $false )
      | ( ( b48_buttercup10109 @ SV74 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1851]) ).

thf(1972,plain,
    ! [SV74: $i,SV101: $i,SV117: $i] :
      ( ( ( k04_buttercup10619 @ sK103_SY209 )
        = $false )
      | ( ( k04_buttercup10619 @ SV117 )
        = $true )
      | ( ( b48_buttercup10109 @ SV117 )
        = $false )
      | ( ( b48_buttercup10109 @ SV101 )
        = $true )
      | ( ( k04_buttercup10619 @ SV101 )
        = $false )
      | ( ( k04_buttercup10619 @ SV74 )
        = $false )
      | ( ( b48_buttercup10109 @ SV74 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1852]) ).

thf(1973,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK97_X29 )
                      | ~ ( k04_buttercup10619 @ sK97_X29 ) )
                | ~ ( k04_buttercup10619 @ sK98_SY204 ) )
          | ~ ~ ( b48_buttercup10109 @ sK98_SY204 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK100_X33 )
        = $true )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1853]) ).

thf(1974,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( k04_buttercup10619 @ sK99_SY206 )
        = $false )
      | ( ( k04_buttercup10619 @ sK100_X33 )
        = $true )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1854]) ).

thf(1975,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK97_X29 )
                          | ~ ( k04_buttercup10619 @ sK97_X29 ) )
                    | ~ ( k04_buttercup10619 @ sK98_SY204 ) )
              | ~ ~ ( b48_buttercup10109 @ sK98_SY204 ) ) )
        = $true )
      | ( ( b48_buttercup10109 @ sK100_X33 )
        = $false )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1855]) ).

thf(1976,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK99_SY206 ) )
        = $true )
      | ( ( b48_buttercup10109 @ sK100_X33 )
        = $false )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1856]) ).

thf(1977,plain,
    ! [SV76: $i,SV118: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK93_X29 )
                      | ~ ( k04_buttercup10619 @ sK93_X29 ) )
                | ~ ( k04_buttercup10619 @ sK94_SY201 ) )
          | ~ ~ ( b48_buttercup10109 @ sK94_SY201 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV118 )
        = $true )
      | ( ( b48_buttercup10109 @ SV118 )
        = $false )
      | ( ( b48_buttercup10109 @ sK96_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1857]) ).

thf(1978,plain,
    ! [SV76: $i,SV118: $i] :
      ( ( ( k04_buttercup10619 @ sK95_SY203 )
        = $false )
      | ( ( k04_buttercup10619 @ SV118 )
        = $true )
      | ( ( b48_buttercup10109 @ SV118 )
        = $false )
      | ( ( b48_buttercup10109 @ sK96_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1858]) ).

thf(1979,plain,
    ! [SV76: $i,SV130: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK93_X29 )
                          | ~ ( k04_buttercup10619 @ sK93_X29 ) )
                    | ~ ( k04_buttercup10619 @ sK94_SY201 ) )
              | ~ ~ ( b48_buttercup10109 @ sK94_SY201 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV130 )
        = $true )
      | ( ( b48_buttercup10109 @ SV130 )
        = $false )
      | ( ( k04_buttercup10619 @ sK96_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1859]) ).

thf(1980,plain,
    ! [SV76: $i,SV130: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK95_SY203 ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV130 )
        = $true )
      | ( ( b48_buttercup10109 @ SV130 )
        = $false )
      | ( ( k04_buttercup10619 @ sK96_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1860]) ).

thf(1981,plain,
    ! [SV77: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                      | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
          | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK91_X33 )
        = $true )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1861]) ).

thf(1982,plain,
    ! [SV77: $i] :
      ( ( ( k04_buttercup10619 @ sK90_SY200 )
        = $false )
      | ( ( k04_buttercup10619 @ sK91_X33 )
        = $true )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1862]) ).

thf(1983,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                          | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                    | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
              | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) ) )
        = $true )
      | ( ( b48_buttercup10109 @ sK91_X33 )
        = $false )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1863]) ).

thf(1984,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK90_SY200 ) )
        = $true )
      | ( ( b48_buttercup10109 @ sK91_X33 )
        = $false )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1864]) ).

thf(1985,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                          | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                    | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
              | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ sK91_X33 )
        = $true )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1865]) ).

thf(1986,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK90_SY200 ) )
        = $true )
      | ( ( k04_buttercup10619 @ sK91_X33 )
        = $true )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1866]) ).

thf(1987,plain,
    ! [SV77: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                            | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                      | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
                | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) ) )
        = $false )
      | ( ( b48_buttercup10109 @ sK91_X33 )
        = $false )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1867]) ).

thf(1988,plain,
    ! [SV77: $i] :
      ( ( ( ~ ~ ( k04_buttercup10619 @ sK90_SY200 ) )
        = $false )
      | ( ( b48_buttercup10109 @ sK91_X33 )
        = $false )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1867]) ).

thf(1989,plain,
    ! [SV78: $i,SV103: $i,SV119: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK31_X74 )
                      | ~ ( k04_buttercup10100 @ sK31_X74 ) )
                | ~ ( k04_buttercup10100 @ sK32_SY159 ) )
          | ~ ~ ( b48_buttercup10107 @ sK32_SY159 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV119 )
        = $true )
      | ( ( b48_buttercup10107 @ SV119 )
        = $false )
      | ( ( b48_buttercup10107 @ SV103 )
        = $true )
      | ( ( k04_buttercup10100 @ SV103 )
        = $false )
      | ( ( k04_buttercup10100 @ SV78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV78 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1868]) ).

thf(1990,plain,
    ! [SV78: $i,SV103: $i,SV119: $i] :
      ( ( ( k04_buttercup10100 @ sK33_SY161 )
        = $false )
      | ( ( k04_buttercup10100 @ SV119 )
        = $true )
      | ( ( b48_buttercup10107 @ SV119 )
        = $false )
      | ( ( b48_buttercup10107 @ SV103 )
        = $true )
      | ( ( k04_buttercup10100 @ SV103 )
        = $false )
      | ( ( k04_buttercup10100 @ SV78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV78 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1869]) ).

thf(1991,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK27_X74 )
                      | ~ ( k04_buttercup10100 @ sK27_X74 ) )
                | ~ ( k04_buttercup10100 @ sK28_SY156 ) )
          | ~ ~ ( b48_buttercup10107 @ sK28_SY156 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK30_X78 )
        = $true )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1870]) ).

thf(1992,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( k04_buttercup10100 @ sK29_SY158 )
        = $false )
      | ( ( k04_buttercup10100 @ sK30_X78 )
        = $true )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1871]) ).

thf(1993,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK27_X74 )
                          | ~ ( k04_buttercup10100 @ sK27_X74 ) )
                    | ~ ( k04_buttercup10100 @ sK28_SY156 ) )
              | ~ ~ ( b48_buttercup10107 @ sK28_SY156 ) ) )
        = $true )
      | ( ( b48_buttercup10107 @ sK30_X78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1872]) ).

thf(1994,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK29_SY158 ) )
        = $true )
      | ( ( b48_buttercup10107 @ sK30_X78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1873]) ).

thf(1995,plain,
    ! [SV80: $i,SV120: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK23_X74 )
                      | ~ ( k04_buttercup10100 @ sK23_X74 ) )
                | ~ ( k04_buttercup10100 @ sK24_SY153 ) )
          | ~ ~ ( b48_buttercup10107 @ sK24_SY153 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV120 )
        = $true )
      | ( ( b48_buttercup10107 @ SV120 )
        = $false )
      | ( ( b48_buttercup10107 @ sK26_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1874]) ).

thf(1996,plain,
    ! [SV80: $i,SV120: $i] :
      ( ( ( k04_buttercup10100 @ sK25_SY155 )
        = $false )
      | ( ( k04_buttercup10100 @ SV120 )
        = $true )
      | ( ( b48_buttercup10107 @ SV120 )
        = $false )
      | ( ( b48_buttercup10107 @ sK26_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1875]) ).

thf(1997,plain,
    ! [SV80: $i,SV131: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK23_X74 )
                          | ~ ( k04_buttercup10100 @ sK23_X74 ) )
                    | ~ ( k04_buttercup10100 @ sK24_SY153 ) )
              | ~ ~ ( b48_buttercup10107 @ sK24_SY153 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV131 )
        = $true )
      | ( ( b48_buttercup10107 @ SV131 )
        = $false )
      | ( ( k04_buttercup10100 @ sK26_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1876]) ).

thf(1998,plain,
    ! [SV80: $i,SV131: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK25_SY155 ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV131 )
        = $true )
      | ( ( b48_buttercup10107 @ SV131 )
        = $false )
      | ( ( k04_buttercup10100 @ sK26_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1877]) ).

thf(1999,plain,
    ! [SV81: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                      | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
          | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK21_X78 )
        = $true )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1878]) ).

thf(2000,plain,
    ! [SV81: $i] :
      ( ( ( k04_buttercup10100 @ sK20_SY152 )
        = $false )
      | ( ( k04_buttercup10100 @ sK21_X78 )
        = $true )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1879]) ).

thf(2001,plain,
    ! [SV81: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                          | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                    | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
              | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) ) )
        = $true )
      | ( ( b48_buttercup10107 @ sK21_X78 )
        = $false )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1880]) ).

thf(2002,plain,
    ! [SV81: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK20_SY152 ) )
        = $true )
      | ( ( b48_buttercup10107 @ sK21_X78 )
        = $false )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1881]) ).

thf(2003,plain,
    ! [SV81: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                          | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                    | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
              | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK21_X78 )
        = $true )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1882]) ).

thf(2004,plain,
    ! [SV81: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK20_SY152 ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK21_X78 )
        = $true )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1883]) ).

thf(2005,plain,
    ! [SV81: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                            | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                      | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
                | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) ) )
        = $false )
      | ( ( b48_buttercup10107 @ sK21_X78 )
        = $false )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1884]) ).

thf(2006,plain,
    ! [SV81: $i] :
      ( ( ( ~ ~ ( k04_buttercup10100 @ sK20_SY152 ) )
        = $false )
      | ( ( b48_buttercup10107 @ sK21_X78 )
        = $false )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1884]) ).

thf(2007,plain,
    ! [SV82: $i,SV105: $i,SV121: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK135_X9 )
                      | ~ ( k04_buttercup10100 @ sK135_X9 ) )
                | ~ ( k04_buttercup10100 @ sK136_SY231 ) )
          | ~ ~ ( b48_buttercup10104 @ sK136_SY231 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV121 )
        = $true )
      | ( ( b48_buttercup10104 @ SV121 )
        = $false )
      | ( ( b48_buttercup10104 @ SV105 )
        = $true )
      | ( ( k04_buttercup10100 @ SV105 )
        = $false )
      | ( ( k04_buttercup10100 @ SV82 )
        = $false )
      | ( ( b48_buttercup10104 @ SV82 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1885]) ).

thf(2008,plain,
    ! [SV82: $i,SV105: $i,SV121: $i] :
      ( ( ( k04_buttercup10100 @ sK137_SY233 )
        = $false )
      | ( ( k04_buttercup10100 @ SV121 )
        = $true )
      | ( ( b48_buttercup10104 @ SV121 )
        = $false )
      | ( ( b48_buttercup10104 @ SV105 )
        = $true )
      | ( ( k04_buttercup10100 @ SV105 )
        = $false )
      | ( ( k04_buttercup10100 @ SV82 )
        = $false )
      | ( ( b48_buttercup10104 @ SV82 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1886]) ).

thf(2009,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK131_X9 )
                      | ~ ( k04_buttercup10100 @ sK131_X9 ) )
                | ~ ( k04_buttercup10100 @ sK132_SY228 ) )
          | ~ ~ ( b48_buttercup10104 @ sK132_SY228 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK134_X13 )
        = $true )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1887]) ).

thf(2010,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( k04_buttercup10100 @ sK133_SY230 )
        = $false )
      | ( ( k04_buttercup10100 @ sK134_X13 )
        = $true )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1888]) ).

thf(2011,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK131_X9 )
                          | ~ ( k04_buttercup10100 @ sK131_X9 ) )
                    | ~ ( k04_buttercup10100 @ sK132_SY228 ) )
              | ~ ~ ( b48_buttercup10104 @ sK132_SY228 ) ) )
        = $true )
      | ( ( b48_buttercup10104 @ sK134_X13 )
        = $false )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1889]) ).

thf(2012,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK133_SY230 ) )
        = $true )
      | ( ( b48_buttercup10104 @ sK134_X13 )
        = $false )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1890]) ).

thf(2013,plain,
    ! [SV84: $i,SV122: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK127_X9 )
                      | ~ ( k04_buttercup10100 @ sK127_X9 ) )
                | ~ ( k04_buttercup10100 @ sK128_SY225 ) )
          | ~ ~ ( b48_buttercup10104 @ sK128_SY225 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV122 )
        = $true )
      | ( ( b48_buttercup10104 @ SV122 )
        = $false )
      | ( ( b48_buttercup10104 @ sK130_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1891]) ).

thf(2014,plain,
    ! [SV84: $i,SV122: $i] :
      ( ( ( k04_buttercup10100 @ sK129_SY227 )
        = $false )
      | ( ( k04_buttercup10100 @ SV122 )
        = $true )
      | ( ( b48_buttercup10104 @ SV122 )
        = $false )
      | ( ( b48_buttercup10104 @ sK130_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1892]) ).

thf(2015,plain,
    ! [SV84: $i,SV132: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK127_X9 )
                          | ~ ( k04_buttercup10100 @ sK127_X9 ) )
                    | ~ ( k04_buttercup10100 @ sK128_SY225 ) )
              | ~ ~ ( b48_buttercup10104 @ sK128_SY225 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV132 )
        = $true )
      | ( ( b48_buttercup10104 @ SV132 )
        = $false )
      | ( ( k04_buttercup10100 @ sK130_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1893]) ).

thf(2016,plain,
    ! [SV84: $i,SV132: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK129_SY227 ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV132 )
        = $true )
      | ( ( b48_buttercup10104 @ SV132 )
        = $false )
      | ( ( k04_buttercup10100 @ sK130_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1894]) ).

thf(2017,plain,
    ! [SV85: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                      | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
          | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK125_X13 )
        = $true )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1895]) ).

thf(2018,plain,
    ! [SV85: $i] :
      ( ( ( k04_buttercup10100 @ sK124_SY224 )
        = $false )
      | ( ( k04_buttercup10100 @ sK125_X13 )
        = $true )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1896]) ).

thf(2019,plain,
    ! [SV85: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                          | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                    | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
              | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) ) )
        = $true )
      | ( ( b48_buttercup10104 @ sK125_X13 )
        = $false )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1897]) ).

thf(2020,plain,
    ! [SV85: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK124_SY224 ) )
        = $true )
      | ( ( b48_buttercup10104 @ sK125_X13 )
        = $false )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1898]) ).

thf(2021,plain,
    ! [SV85: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                          | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                    | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
              | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK125_X13 )
        = $true )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1899]) ).

thf(2022,plain,
    ! [SV85: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK124_SY224 ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK125_X13 )
        = $true )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1900]) ).

thf(2023,plain,
    ! [SV85: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                            | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                      | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
                | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) ) )
        = $false )
      | ( ( b48_buttercup10104 @ sK125_X13 )
        = $false )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1901]) ).

thf(2024,plain,
    ! [SV85: $i] :
      ( ( ( ~ ~ ( k04_buttercup10100 @ sK124_SY224 ) )
        = $false )
      | ( ( b48_buttercup10104 @ sK125_X13 )
        = $false )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1901]) ).

thf(2025,plain,
    ! [SV86: $i,SV107: $i,SV123: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK68_X47 )
                      | ~ ( k04_buttercup10100 @ sK68_X47 ) )
                | ~ ( k04_buttercup10100 @ sK69_SY183 ) )
          | ~ ~ ( b48_buttercup10110 @ sK69_SY183 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV123 )
        = $true )
      | ( ( b48_buttercup10110 @ SV123 )
        = $false )
      | ( ( b48_buttercup10110 @ SV107 )
        = $true )
      | ( ( k04_buttercup10100 @ SV107 )
        = $false )
      | ( ( k04_buttercup10100 @ SV86 )
        = $false )
      | ( ( b48_buttercup10110 @ SV86 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1902]) ).

thf(2026,plain,
    ! [SV86: $i,SV107: $i,SV123: $i] :
      ( ( ( k04_buttercup10100 @ sK70_SY185 )
        = $false )
      | ( ( k04_buttercup10100 @ SV123 )
        = $true )
      | ( ( b48_buttercup10110 @ SV123 )
        = $false )
      | ( ( b48_buttercup10110 @ SV107 )
        = $true )
      | ( ( k04_buttercup10100 @ SV107 )
        = $false )
      | ( ( k04_buttercup10100 @ SV86 )
        = $false )
      | ( ( b48_buttercup10110 @ SV86 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1903]) ).

thf(2027,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK64_X47 )
                      | ~ ( k04_buttercup10100 @ sK64_X47 ) )
                | ~ ( k04_buttercup10100 @ sK65_SY180 ) )
          | ~ ~ ( b48_buttercup10110 @ sK65_SY180 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK67_X51 )
        = $true )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1904]) ).

thf(2028,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( k04_buttercup10100 @ sK66_SY182 )
        = $false )
      | ( ( k04_buttercup10100 @ sK67_X51 )
        = $true )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1905]) ).

thf(2029,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK64_X47 )
                          | ~ ( k04_buttercup10100 @ sK64_X47 ) )
                    | ~ ( k04_buttercup10100 @ sK65_SY180 ) )
              | ~ ~ ( b48_buttercup10110 @ sK65_SY180 ) ) )
        = $true )
      | ( ( b48_buttercup10110 @ sK67_X51 )
        = $false )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1906]) ).

thf(2030,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK66_SY182 ) )
        = $true )
      | ( ( b48_buttercup10110 @ sK67_X51 )
        = $false )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1907]) ).

thf(2031,plain,
    ! [SV88: $i,SV124: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK60_X47 )
                      | ~ ( k04_buttercup10100 @ sK60_X47 ) )
                | ~ ( k04_buttercup10100 @ sK61_SY177 ) )
          | ~ ~ ( b48_buttercup10110 @ sK61_SY177 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV124 )
        = $true )
      | ( ( b48_buttercup10110 @ SV124 )
        = $false )
      | ( ( b48_buttercup10110 @ sK63_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1908]) ).

thf(2032,plain,
    ! [SV88: $i,SV124: $i] :
      ( ( ( k04_buttercup10100 @ sK62_SY179 )
        = $false )
      | ( ( k04_buttercup10100 @ SV124 )
        = $true )
      | ( ( b48_buttercup10110 @ SV124 )
        = $false )
      | ( ( b48_buttercup10110 @ sK63_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1909]) ).

thf(2033,plain,
    ! [SV88: $i,SV133: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK60_X47 )
                          | ~ ( k04_buttercup10100 @ sK60_X47 ) )
                    | ~ ( k04_buttercup10100 @ sK61_SY177 ) )
              | ~ ~ ( b48_buttercup10110 @ sK61_SY177 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV133 )
        = $true )
      | ( ( b48_buttercup10110 @ SV133 )
        = $false )
      | ( ( k04_buttercup10100 @ sK63_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1910]) ).

thf(2034,plain,
    ! [SV88: $i,SV133: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK62_SY179 ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV133 )
        = $true )
      | ( ( b48_buttercup10110 @ SV133 )
        = $false )
      | ( ( k04_buttercup10100 @ sK63_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1911]) ).

thf(2035,plain,
    ! [SV89: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                      | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
          | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK58_X51 )
        = $true )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1912]) ).

thf(2036,plain,
    ! [SV89: $i] :
      ( ( ( k04_buttercup10100 @ sK57_SY176 )
        = $false )
      | ( ( k04_buttercup10100 @ sK58_X51 )
        = $true )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1913]) ).

thf(2037,plain,
    ! [SV89: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                          | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                    | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
              | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) ) )
        = $true )
      | ( ( b48_buttercup10110 @ sK58_X51 )
        = $false )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1914]) ).

thf(2038,plain,
    ! [SV89: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK57_SY176 ) )
        = $true )
      | ( ( b48_buttercup10110 @ sK58_X51 )
        = $false )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1915]) ).

thf(2039,plain,
    ! [SV89: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                          | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                    | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
              | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK58_X51 )
        = $true )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1916]) ).

thf(2040,plain,
    ! [SV89: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK57_SY176 ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK58_X51 )
        = $true )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1917]) ).

thf(2041,plain,
    ! [SV89: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                            | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                      | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
                | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) ) )
        = $false )
      | ( ( b48_buttercup10110 @ sK58_X51 )
        = $false )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1918]) ).

thf(2042,plain,
    ! [SV89: $i] :
      ( ( ( ~ ~ ( k04_buttercup10100 @ sK57_SY176 ) )
        = $false )
      | ( ( b48_buttercup10110 @ sK58_X51 )
        = $false )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1918]) ).

thf(2043,plain,
    ! [SV90: $i,SV109: $i,SV125: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK84_X39 )
                      | ~ ( k04_buttercup10100 @ sK84_X39 ) )
                | ~ ( k04_buttercup10100 @ sK85_SY195 ) )
          | ~ ~ ( b48_buttercup10108 @ sK85_SY195 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV125 )
        = $true )
      | ( ( b48_buttercup10108 @ SV125 )
        = $false )
      | ( ( b48_buttercup10108 @ SV109 )
        = $true )
      | ( ( k04_buttercup10100 @ SV109 )
        = $false )
      | ( ( k04_buttercup10100 @ SV90 )
        = $false )
      | ( ( b48_buttercup10108 @ SV90 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1919]) ).

thf(2044,plain,
    ! [SV90: $i,SV109: $i,SV125: $i] :
      ( ( ( k04_buttercup10100 @ sK86_SY197 )
        = $false )
      | ( ( k04_buttercup10100 @ SV125 )
        = $true )
      | ( ( b48_buttercup10108 @ SV125 )
        = $false )
      | ( ( b48_buttercup10108 @ SV109 )
        = $true )
      | ( ( k04_buttercup10100 @ SV109 )
        = $false )
      | ( ( k04_buttercup10100 @ SV90 )
        = $false )
      | ( ( b48_buttercup10108 @ SV90 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1920]) ).

thf(2045,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK80_X39 )
                      | ~ ( k04_buttercup10100 @ sK80_X39 ) )
                | ~ ( k04_buttercup10100 @ sK81_SY192 ) )
          | ~ ~ ( b48_buttercup10108 @ sK81_SY192 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK83_X43 )
        = $true )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1921]) ).

thf(2046,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( k04_buttercup10100 @ sK82_SY194 )
        = $false )
      | ( ( k04_buttercup10100 @ sK83_X43 )
        = $true )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1922]) ).

thf(2047,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK80_X39 )
                          | ~ ( k04_buttercup10100 @ sK80_X39 ) )
                    | ~ ( k04_buttercup10100 @ sK81_SY192 ) )
              | ~ ~ ( b48_buttercup10108 @ sK81_SY192 ) ) )
        = $true )
      | ( ( b48_buttercup10108 @ sK83_X43 )
        = $false )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1923]) ).

thf(2048,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK82_SY194 ) )
        = $true )
      | ( ( b48_buttercup10108 @ sK83_X43 )
        = $false )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1924]) ).

thf(2049,plain,
    ! [SV92: $i,SV126: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK76_X39 )
                      | ~ ( k04_buttercup10100 @ sK76_X39 ) )
                | ~ ( k04_buttercup10100 @ sK77_SY189 ) )
          | ~ ~ ( b48_buttercup10108 @ sK77_SY189 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV126 )
        = $true )
      | ( ( b48_buttercup10108 @ SV126 )
        = $false )
      | ( ( b48_buttercup10108 @ sK79_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1925]) ).

thf(2050,plain,
    ! [SV92: $i,SV126: $i] :
      ( ( ( k04_buttercup10100 @ sK78_SY191 )
        = $false )
      | ( ( k04_buttercup10100 @ SV126 )
        = $true )
      | ( ( b48_buttercup10108 @ SV126 )
        = $false )
      | ( ( b48_buttercup10108 @ sK79_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1926]) ).

thf(2051,plain,
    ! [SV92: $i,SV134: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK76_X39 )
                          | ~ ( k04_buttercup10100 @ sK76_X39 ) )
                    | ~ ( k04_buttercup10100 @ sK77_SY189 ) )
              | ~ ~ ( b48_buttercup10108 @ sK77_SY189 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV134 )
        = $true )
      | ( ( b48_buttercup10108 @ SV134 )
        = $false )
      | ( ( k04_buttercup10100 @ sK79_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1927]) ).

thf(2052,plain,
    ! [SV92: $i,SV134: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK78_SY191 ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV134 )
        = $true )
      | ( ( b48_buttercup10108 @ SV134 )
        = $false )
      | ( ( k04_buttercup10100 @ sK79_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1928]) ).

thf(2053,plain,
    ! [SV93: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                      | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
          | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK74_X43 )
        = $true )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1929]) ).

thf(2054,plain,
    ! [SV93: $i] :
      ( ( ( k04_buttercup10100 @ sK73_SY188 )
        = $false )
      | ( ( k04_buttercup10100 @ sK74_X43 )
        = $true )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1930]) ).

thf(2055,plain,
    ! [SV93: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                          | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                    | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
              | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) ) )
        = $true )
      | ( ( b48_buttercup10108 @ sK74_X43 )
        = $false )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1931]) ).

thf(2056,plain,
    ! [SV93: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK73_SY188 ) )
        = $true )
      | ( ( b48_buttercup10108 @ sK74_X43 )
        = $false )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1932]) ).

thf(2057,plain,
    ! [SV93: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                          | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                    | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
              | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK74_X43 )
        = $true )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1933]) ).

thf(2058,plain,
    ! [SV93: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK73_SY188 ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK74_X43 )
        = $true )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1934]) ).

thf(2059,plain,
    ! [SV93: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                            | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                      | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
                | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) ) )
        = $false )
      | ( ( b48_buttercup10108 @ sK74_X43 )
        = $false )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1935]) ).

thf(2060,plain,
    ! [SV93: $i] :
      ( ( ( ~ ~ ( k04_buttercup10100 @ sK73_SY188 ) )
        = $false )
      | ( ( b48_buttercup10108 @ sK74_X43 )
        = $false )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1935]) ).

thf(2061,plain,
    ! [SV94: $i,SV111: $i,SV127: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK118_X19 )
                      | ~ ( k04_buttercup10619 @ sK118_X19 ) )
                | ~ ( k04_buttercup10619 @ sK119_SY219 ) )
          | ~ ~ ( b48_buttercup10111 @ sK119_SY219 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV127 )
        = $true )
      | ( ( b48_buttercup10111 @ SV127 )
        = $false )
      | ( ( b48_buttercup10111 @ SV111 )
        = $true )
      | ( ( k04_buttercup10619 @ SV111 )
        = $false )
      | ( ( k04_buttercup10619 @ SV94 )
        = $false )
      | ( ( b48_buttercup10111 @ SV94 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1936]) ).

thf(2062,plain,
    ! [SV94: $i,SV111: $i,SV127: $i] :
      ( ( ( k04_buttercup10619 @ sK120_SY221 )
        = $false )
      | ( ( k04_buttercup10619 @ SV127 )
        = $true )
      | ( ( b48_buttercup10111 @ SV127 )
        = $false )
      | ( ( b48_buttercup10111 @ SV111 )
        = $true )
      | ( ( k04_buttercup10619 @ SV111 )
        = $false )
      | ( ( k04_buttercup10619 @ SV94 )
        = $false )
      | ( ( b48_buttercup10111 @ SV94 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1937]) ).

thf(2063,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK114_X19 )
                      | ~ ( k04_buttercup10619 @ sK114_X19 ) )
                | ~ ( k04_buttercup10619 @ sK115_SY216 ) )
          | ~ ~ ( b48_buttercup10111 @ sK115_SY216 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK117_X23 )
        = $true )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1938]) ).

thf(2064,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( k04_buttercup10619 @ sK116_SY218 )
        = $false )
      | ( ( k04_buttercup10619 @ sK117_X23 )
        = $true )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1939]) ).

thf(2065,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK114_X19 )
                          | ~ ( k04_buttercup10619 @ sK114_X19 ) )
                    | ~ ( k04_buttercup10619 @ sK115_SY216 ) )
              | ~ ~ ( b48_buttercup10111 @ sK115_SY216 ) ) )
        = $true )
      | ( ( b48_buttercup10111 @ sK117_X23 )
        = $false )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1940]) ).

thf(2066,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK116_SY218 ) )
        = $true )
      | ( ( b48_buttercup10111 @ sK117_X23 )
        = $false )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1941]) ).

thf(2067,plain,
    ! [SV96: $i,SV128: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK110_X19 )
                      | ~ ( k04_buttercup10619 @ sK110_X19 ) )
                | ~ ( k04_buttercup10619 @ sK111_SY213 ) )
          | ~ ~ ( b48_buttercup10111 @ sK111_SY213 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV128 )
        = $true )
      | ( ( b48_buttercup10111 @ SV128 )
        = $false )
      | ( ( b48_buttercup10111 @ sK113_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1942]) ).

thf(2068,plain,
    ! [SV96: $i,SV128: $i] :
      ( ( ( k04_buttercup10619 @ sK112_SY215 )
        = $false )
      | ( ( k04_buttercup10619 @ SV128 )
        = $true )
      | ( ( b48_buttercup10111 @ SV128 )
        = $false )
      | ( ( b48_buttercup10111 @ sK113_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1943]) ).

thf(2069,plain,
    ! [SV96: $i,SV135: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK110_X19 )
                          | ~ ( k04_buttercup10619 @ sK110_X19 ) )
                    | ~ ( k04_buttercup10619 @ sK111_SY213 ) )
              | ~ ~ ( b48_buttercup10111 @ sK111_SY213 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV135 )
        = $true )
      | ( ( b48_buttercup10111 @ SV135 )
        = $false )
      | ( ( k04_buttercup10619 @ sK113_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1944]) ).

thf(2070,plain,
    ! [SV96: $i,SV135: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK112_SY215 ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV135 )
        = $true )
      | ( ( b48_buttercup10111 @ SV135 )
        = $false )
      | ( ( k04_buttercup10619 @ sK113_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1945]) ).

thf(2071,plain,
    ! [SV97: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                      | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
          | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK108_X23 )
        = $true )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1946]) ).

thf(2072,plain,
    ! [SV97: $i] :
      ( ( ( k04_buttercup10619 @ sK107_SY212 )
        = $false )
      | ( ( k04_buttercup10619 @ sK108_X23 )
        = $true )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1947]) ).

thf(2073,plain,
    ! [SV97: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                          | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                    | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
              | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) ) )
        = $true )
      | ( ( b48_buttercup10111 @ sK108_X23 )
        = $false )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1948]) ).

thf(2074,plain,
    ! [SV97: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK107_SY212 ) )
        = $true )
      | ( ( b48_buttercup10111 @ sK108_X23 )
        = $false )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1949]) ).

thf(2075,plain,
    ! [SV97: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                          | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                    | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
              | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ sK108_X23 )
        = $true )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1950]) ).

thf(2076,plain,
    ! [SV97: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK107_SY212 ) )
        = $true )
      | ( ( k04_buttercup10619 @ sK108_X23 )
        = $true )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1951]) ).

thf(2077,plain,
    ! [SV97: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                            | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                      | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
                | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) ) )
        = $false )
      | ( ( b48_buttercup10111 @ sK108_X23 )
        = $false )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1952]) ).

thf(2078,plain,
    ! [SV97: $i] :
      ( ( ( ~ ~ ( k04_buttercup10619 @ sK107_SY212 ) )
        = $false )
      | ( ( b48_buttercup10111 @ sK108_X23 )
        = $false )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1952]) ).

thf(2079,plain,
    ! [SV69: $i,SV99: $i,SV115: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK48_X63 )
                      | ~ ( k04_buttercup10100 @ sK48_X63 ) )
                | ~ ( k04_buttercup10100 @ sK49_SY171 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV115 )
        = $true )
      | ( ( b48_buttercup10102 @ SV115 )
        = $false )
      | ( ( b48_buttercup10102 @ SV99 )
        = $true )
      | ( ( k04_buttercup10100 @ SV99 )
        = $false )
      | ( ( k04_buttercup10100 @ SV69 )
        = $false )
      | ( ( b48_buttercup10102 @ SV69 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1953]) ).

thf(2080,plain,
    ! [SV69: $i,SV99: $i,SV115: $i] :
      ( ( ( ~ ~ ( b48_buttercup10102 @ sK49_SY171 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV115 )
        = $true )
      | ( ( b48_buttercup10102 @ SV115 )
        = $false )
      | ( ( b48_buttercup10102 @ SV99 )
        = $true )
      | ( ( k04_buttercup10100 @ SV99 )
        = $false )
      | ( ( k04_buttercup10100 @ SV69 )
        = $false )
      | ( ( b48_buttercup10102 @ SV69 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1953]) ).

thf(2081,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK44_X63 )
                      | ~ ( k04_buttercup10100 @ sK44_X63 ) )
                | ~ ( k04_buttercup10100 @ sK45_SY168 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK47_X67 )
        = $true )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1955]) ).

thf(2082,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( ~ ~ ( b48_buttercup10102 @ sK45_SY168 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK47_X67 )
        = $true )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1955]) ).

thf(2083,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK44_X63 )
                      | ~ ( k04_buttercup10100 @ sK44_X63 ) )
                | ~ ( k04_buttercup10100 @ sK45_SY168 ) )
          | ~ ~ ( b48_buttercup10102 @ sK45_SY168 ) )
        = $false )
      | ( ( b48_buttercup10102 @ sK47_X67 )
        = $false )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1957]) ).

thf(2084,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( k04_buttercup10100 @ sK46_SY170 )
        = $false )
      | ( ( b48_buttercup10102 @ sK47_X67 )
        = $false )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1958]) ).

thf(2085,plain,
    ! [SV71: $i,SV116: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK40_X63 )
                      | ~ ( k04_buttercup10100 @ sK40_X63 ) )
                | ~ ( k04_buttercup10100 @ sK41_SY165 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV116 )
        = $true )
      | ( ( b48_buttercup10102 @ SV116 )
        = $false )
      | ( ( b48_buttercup10102 @ sK43_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1959]) ).

thf(2086,plain,
    ! [SV71: $i,SV116: $i] :
      ( ( ( ~ ~ ( b48_buttercup10102 @ sK41_SY165 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV116 )
        = $true )
      | ( ( b48_buttercup10102 @ SV116 )
        = $false )
      | ( ( b48_buttercup10102 @ sK43_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1959]) ).

thf(2087,plain,
    ! [SV71: $i,SV129: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK40_X63 )
                      | ~ ( k04_buttercup10100 @ sK40_X63 ) )
                | ~ ( k04_buttercup10100 @ sK41_SY165 ) )
          | ~ ~ ( b48_buttercup10102 @ sK41_SY165 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV129 )
        = $true )
      | ( ( b48_buttercup10102 @ SV129 )
        = $false )
      | ( ( k04_buttercup10100 @ sK43_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1961]) ).

thf(2088,plain,
    ! [SV71: $i,SV129: $i] :
      ( ( ( k04_buttercup10100 @ sK42_SY167 )
        = $false )
      | ( ( k04_buttercup10100 @ SV129 )
        = $true )
      | ( ( b48_buttercup10102 @ SV129 )
        = $false )
      | ( ( k04_buttercup10100 @ sK43_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1962]) ).

thf(2089,plain,
    ! [SV72: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                      | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                | ~ ( k04_buttercup10100 @ sK36_SY162 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK38_X67 )
        = $true )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1963]) ).

thf(2090,plain,
    ! [SV72: $i] :
      ( ( ( ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK38_X67 )
        = $true )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1963]) ).

thf(2091,plain,
    ! [SV72: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                      | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
          | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) )
        = $false )
      | ( ( b48_buttercup10102 @ sK38_X67 )
        = $false )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1965]) ).

thf(2092,plain,
    ! [SV72: $i] :
      ( ( ( k04_buttercup10100 @ sK37_SY164 )
        = $false )
      | ( ( b48_buttercup10102 @ sK38_X67 )
        = $false )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1966]) ).

thf(2093,plain,
    ! [SV72: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                      | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
          | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK38_X67 )
        = $true )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1967]) ).

thf(2094,plain,
    ! [SV72: $i] :
      ( ( ( k04_buttercup10100 @ sK37_SY164 )
        = $false )
      | ( ( k04_buttercup10100 @ sK38_X67 )
        = $true )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1968]) ).

thf(2095,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                          | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                    | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
              | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) ) )
        = $true )
      | ( ( b48_buttercup10102 @ sK38_X67 )
        = $false )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1969]) ).

thf(2096,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK37_SY164 ) )
        = $true )
      | ( ( b48_buttercup10102 @ sK38_X67 )
        = $false )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1970]) ).

thf(2097,plain,
    ! [SV74: $i,SV101: $i,SV117: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK101_X29 )
                      | ~ ( k04_buttercup10619 @ sK101_X29 ) )
                | ~ ( k04_buttercup10619 @ sK102_SY207 ) ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV117 )
        = $true )
      | ( ( b48_buttercup10109 @ SV117 )
        = $false )
      | ( ( b48_buttercup10109 @ SV101 )
        = $true )
      | ( ( k04_buttercup10619 @ SV101 )
        = $false )
      | ( ( k04_buttercup10619 @ SV74 )
        = $false )
      | ( ( b48_buttercup10109 @ SV74 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1971]) ).

thf(2098,plain,
    ! [SV74: $i,SV101: $i,SV117: $i] :
      ( ( ( ~ ~ ( b48_buttercup10109 @ sK102_SY207 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV117 )
        = $true )
      | ( ( b48_buttercup10109 @ SV117 )
        = $false )
      | ( ( b48_buttercup10109 @ SV101 )
        = $true )
      | ( ( k04_buttercup10619 @ SV101 )
        = $false )
      | ( ( k04_buttercup10619 @ SV74 )
        = $false )
      | ( ( b48_buttercup10109 @ SV74 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1971]) ).

thf(2099,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK97_X29 )
                      | ~ ( k04_buttercup10619 @ sK97_X29 ) )
                | ~ ( k04_buttercup10619 @ sK98_SY204 ) ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK100_X33 )
        = $true )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1973]) ).

thf(2100,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( ~ ~ ( b48_buttercup10109 @ sK98_SY204 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK100_X33 )
        = $true )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1973]) ).

thf(2101,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK97_X29 )
                      | ~ ( k04_buttercup10619 @ sK97_X29 ) )
                | ~ ( k04_buttercup10619 @ sK98_SY204 ) )
          | ~ ~ ( b48_buttercup10109 @ sK98_SY204 ) )
        = $false )
      | ( ( b48_buttercup10109 @ sK100_X33 )
        = $false )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1975]) ).

thf(2102,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( k04_buttercup10619 @ sK99_SY206 )
        = $false )
      | ( ( b48_buttercup10109 @ sK100_X33 )
        = $false )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1976]) ).

thf(2103,plain,
    ! [SV76: $i,SV118: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK93_X29 )
                      | ~ ( k04_buttercup10619 @ sK93_X29 ) )
                | ~ ( k04_buttercup10619 @ sK94_SY201 ) ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV118 )
        = $true )
      | ( ( b48_buttercup10109 @ SV118 )
        = $false )
      | ( ( b48_buttercup10109 @ sK96_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1977]) ).

thf(2104,plain,
    ! [SV76: $i,SV118: $i] :
      ( ( ( ~ ~ ( b48_buttercup10109 @ sK94_SY201 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV118 )
        = $true )
      | ( ( b48_buttercup10109 @ SV118 )
        = $false )
      | ( ( b48_buttercup10109 @ sK96_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1977]) ).

thf(2105,plain,
    ! [SV76: $i,SV130: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK93_X29 )
                      | ~ ( k04_buttercup10619 @ sK93_X29 ) )
                | ~ ( k04_buttercup10619 @ sK94_SY201 ) )
          | ~ ~ ( b48_buttercup10109 @ sK94_SY201 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV130 )
        = $true )
      | ( ( b48_buttercup10109 @ SV130 )
        = $false )
      | ( ( k04_buttercup10619 @ sK96_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1979]) ).

thf(2106,plain,
    ! [SV76: $i,SV130: $i] :
      ( ( ( k04_buttercup10619 @ sK95_SY203 )
        = $false )
      | ( ( k04_buttercup10619 @ SV130 )
        = $true )
      | ( ( b48_buttercup10109 @ SV130 )
        = $false )
      | ( ( k04_buttercup10619 @ sK96_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1980]) ).

thf(2107,plain,
    ! [SV77: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                      | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                | ~ ( k04_buttercup10619 @ sK89_SY198 ) ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK91_X33 )
        = $true )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1981]) ).

thf(2108,plain,
    ! [SV77: $i] :
      ( ( ( ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK91_X33 )
        = $true )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1981]) ).

thf(2109,plain,
    ! [SV77: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                      | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
          | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) )
        = $false )
      | ( ( b48_buttercup10109 @ sK91_X33 )
        = $false )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1983]) ).

thf(2110,plain,
    ! [SV77: $i] :
      ( ( ( k04_buttercup10619 @ sK90_SY200 )
        = $false )
      | ( ( b48_buttercup10109 @ sK91_X33 )
        = $false )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1984]) ).

thf(2111,plain,
    ! [SV77: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                      | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
          | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK91_X33 )
        = $true )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1985]) ).

thf(2112,plain,
    ! [SV77: $i] :
      ( ( ( k04_buttercup10619 @ sK90_SY200 )
        = $false )
      | ( ( k04_buttercup10619 @ sK91_X33 )
        = $true )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1986]) ).

thf(2113,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                          | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                    | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
              | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) ) )
        = $true )
      | ( ( b48_buttercup10109 @ sK91_X33 )
        = $false )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1987]) ).

thf(2114,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK90_SY200 ) )
        = $true )
      | ( ( b48_buttercup10109 @ sK91_X33 )
        = $false )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1988]) ).

thf(2115,plain,
    ! [SV78: $i,SV103: $i,SV119: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK31_X74 )
                      | ~ ( k04_buttercup10100 @ sK31_X74 ) )
                | ~ ( k04_buttercup10100 @ sK32_SY159 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV119 )
        = $true )
      | ( ( b48_buttercup10107 @ SV119 )
        = $false )
      | ( ( b48_buttercup10107 @ SV103 )
        = $true )
      | ( ( k04_buttercup10100 @ SV103 )
        = $false )
      | ( ( k04_buttercup10100 @ SV78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV78 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1989]) ).

thf(2116,plain,
    ! [SV78: $i,SV103: $i,SV119: $i] :
      ( ( ( ~ ~ ( b48_buttercup10107 @ sK32_SY159 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV119 )
        = $true )
      | ( ( b48_buttercup10107 @ SV119 )
        = $false )
      | ( ( b48_buttercup10107 @ SV103 )
        = $true )
      | ( ( k04_buttercup10100 @ SV103 )
        = $false )
      | ( ( k04_buttercup10100 @ SV78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV78 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1989]) ).

thf(2117,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK27_X74 )
                      | ~ ( k04_buttercup10100 @ sK27_X74 ) )
                | ~ ( k04_buttercup10100 @ sK28_SY156 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK30_X78 )
        = $true )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1991]) ).

thf(2118,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( ~ ~ ( b48_buttercup10107 @ sK28_SY156 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK30_X78 )
        = $true )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1991]) ).

thf(2119,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK27_X74 )
                      | ~ ( k04_buttercup10100 @ sK27_X74 ) )
                | ~ ( k04_buttercup10100 @ sK28_SY156 ) )
          | ~ ~ ( b48_buttercup10107 @ sK28_SY156 ) )
        = $false )
      | ( ( b48_buttercup10107 @ sK30_X78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1993]) ).

thf(2120,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( k04_buttercup10100 @ sK29_SY158 )
        = $false )
      | ( ( b48_buttercup10107 @ sK30_X78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1994]) ).

thf(2121,plain,
    ! [SV80: $i,SV120: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK23_X74 )
                      | ~ ( k04_buttercup10100 @ sK23_X74 ) )
                | ~ ( k04_buttercup10100 @ sK24_SY153 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV120 )
        = $true )
      | ( ( b48_buttercup10107 @ SV120 )
        = $false )
      | ( ( b48_buttercup10107 @ sK26_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1995]) ).

thf(2122,plain,
    ! [SV80: $i,SV120: $i] :
      ( ( ( ~ ~ ( b48_buttercup10107 @ sK24_SY153 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV120 )
        = $true )
      | ( ( b48_buttercup10107 @ SV120 )
        = $false )
      | ( ( b48_buttercup10107 @ sK26_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1995]) ).

thf(2123,plain,
    ! [SV80: $i,SV131: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK23_X74 )
                      | ~ ( k04_buttercup10100 @ sK23_X74 ) )
                | ~ ( k04_buttercup10100 @ sK24_SY153 ) )
          | ~ ~ ( b48_buttercup10107 @ sK24_SY153 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV131 )
        = $true )
      | ( ( b48_buttercup10107 @ SV131 )
        = $false )
      | ( ( k04_buttercup10100 @ sK26_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1997]) ).

thf(2124,plain,
    ! [SV80: $i,SV131: $i] :
      ( ( ( k04_buttercup10100 @ sK25_SY155 )
        = $false )
      | ( ( k04_buttercup10100 @ SV131 )
        = $true )
      | ( ( b48_buttercup10107 @ SV131 )
        = $false )
      | ( ( k04_buttercup10100 @ sK26_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1998]) ).

thf(2125,plain,
    ! [SV81: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                      | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                | ~ ( k04_buttercup10100 @ sK19_SY150 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK21_X78 )
        = $true )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1999]) ).

thf(2126,plain,
    ! [SV81: $i] :
      ( ( ( ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK21_X78 )
        = $true )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1999]) ).

thf(2127,plain,
    ! [SV81: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                      | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
          | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) )
        = $false )
      | ( ( b48_buttercup10107 @ sK21_X78 )
        = $false )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2001]) ).

thf(2128,plain,
    ! [SV81: $i] :
      ( ( ( k04_buttercup10100 @ sK20_SY152 )
        = $false )
      | ( ( b48_buttercup10107 @ sK21_X78 )
        = $false )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2002]) ).

thf(2129,plain,
    ! [SV81: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                      | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
          | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK21_X78 )
        = $true )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2003]) ).

thf(2130,plain,
    ! [SV81: $i] :
      ( ( ( k04_buttercup10100 @ sK20_SY152 )
        = $false )
      | ( ( k04_buttercup10100 @ sK21_X78 )
        = $true )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2004]) ).

thf(2131,plain,
    ! [SV81: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                          | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                    | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
              | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) ) )
        = $true )
      | ( ( b48_buttercup10107 @ sK21_X78 )
        = $false )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2005]) ).

thf(2132,plain,
    ! [SV81: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK20_SY152 ) )
        = $true )
      | ( ( b48_buttercup10107 @ sK21_X78 )
        = $false )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2006]) ).

thf(2133,plain,
    ! [SV82: $i,SV105: $i,SV121: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK135_X9 )
                      | ~ ( k04_buttercup10100 @ sK135_X9 ) )
                | ~ ( k04_buttercup10100 @ sK136_SY231 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV121 )
        = $true )
      | ( ( b48_buttercup10104 @ SV121 )
        = $false )
      | ( ( b48_buttercup10104 @ SV105 )
        = $true )
      | ( ( k04_buttercup10100 @ SV105 )
        = $false )
      | ( ( k04_buttercup10100 @ SV82 )
        = $false )
      | ( ( b48_buttercup10104 @ SV82 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2007]) ).

thf(2134,plain,
    ! [SV82: $i,SV105: $i,SV121: $i] :
      ( ( ( ~ ~ ( b48_buttercup10104 @ sK136_SY231 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV121 )
        = $true )
      | ( ( b48_buttercup10104 @ SV121 )
        = $false )
      | ( ( b48_buttercup10104 @ SV105 )
        = $true )
      | ( ( k04_buttercup10100 @ SV105 )
        = $false )
      | ( ( k04_buttercup10100 @ SV82 )
        = $false )
      | ( ( b48_buttercup10104 @ SV82 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2007]) ).

thf(2135,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK131_X9 )
                      | ~ ( k04_buttercup10100 @ sK131_X9 ) )
                | ~ ( k04_buttercup10100 @ sK132_SY228 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK134_X13 )
        = $true )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2009]) ).

thf(2136,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( ~ ~ ( b48_buttercup10104 @ sK132_SY228 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK134_X13 )
        = $true )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2009]) ).

thf(2137,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK131_X9 )
                      | ~ ( k04_buttercup10100 @ sK131_X9 ) )
                | ~ ( k04_buttercup10100 @ sK132_SY228 ) )
          | ~ ~ ( b48_buttercup10104 @ sK132_SY228 ) )
        = $false )
      | ( ( b48_buttercup10104 @ sK134_X13 )
        = $false )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2011]) ).

thf(2138,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( k04_buttercup10100 @ sK133_SY230 )
        = $false )
      | ( ( b48_buttercup10104 @ sK134_X13 )
        = $false )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2012]) ).

thf(2139,plain,
    ! [SV84: $i,SV122: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK127_X9 )
                      | ~ ( k04_buttercup10100 @ sK127_X9 ) )
                | ~ ( k04_buttercup10100 @ sK128_SY225 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV122 )
        = $true )
      | ( ( b48_buttercup10104 @ SV122 )
        = $false )
      | ( ( b48_buttercup10104 @ sK130_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2013]) ).

thf(2140,plain,
    ! [SV84: $i,SV122: $i] :
      ( ( ( ~ ~ ( b48_buttercup10104 @ sK128_SY225 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV122 )
        = $true )
      | ( ( b48_buttercup10104 @ SV122 )
        = $false )
      | ( ( b48_buttercup10104 @ sK130_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2013]) ).

thf(2141,plain,
    ! [SV84: $i,SV132: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK127_X9 )
                      | ~ ( k04_buttercup10100 @ sK127_X9 ) )
                | ~ ( k04_buttercup10100 @ sK128_SY225 ) )
          | ~ ~ ( b48_buttercup10104 @ sK128_SY225 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV132 )
        = $true )
      | ( ( b48_buttercup10104 @ SV132 )
        = $false )
      | ( ( k04_buttercup10100 @ sK130_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2015]) ).

thf(2142,plain,
    ! [SV84: $i,SV132: $i] :
      ( ( ( k04_buttercup10100 @ sK129_SY227 )
        = $false )
      | ( ( k04_buttercup10100 @ SV132 )
        = $true )
      | ( ( b48_buttercup10104 @ SV132 )
        = $false )
      | ( ( k04_buttercup10100 @ sK130_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2016]) ).

thf(2143,plain,
    ! [SV85: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                      | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                | ~ ( k04_buttercup10100 @ sK123_SY222 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK125_X13 )
        = $true )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2017]) ).

thf(2144,plain,
    ! [SV85: $i] :
      ( ( ( ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK125_X13 )
        = $true )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2017]) ).

thf(2145,plain,
    ! [SV85: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                      | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
          | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) )
        = $false )
      | ( ( b48_buttercup10104 @ sK125_X13 )
        = $false )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2019]) ).

thf(2146,plain,
    ! [SV85: $i] :
      ( ( ( k04_buttercup10100 @ sK124_SY224 )
        = $false )
      | ( ( b48_buttercup10104 @ sK125_X13 )
        = $false )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2020]) ).

thf(2147,plain,
    ! [SV85: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                      | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
          | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK125_X13 )
        = $true )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2021]) ).

thf(2148,plain,
    ! [SV85: $i] :
      ( ( ( k04_buttercup10100 @ sK124_SY224 )
        = $false )
      | ( ( k04_buttercup10100 @ sK125_X13 )
        = $true )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2022]) ).

thf(2149,plain,
    ! [SV85: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                          | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                    | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
              | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) ) )
        = $true )
      | ( ( b48_buttercup10104 @ sK125_X13 )
        = $false )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2023]) ).

thf(2150,plain,
    ! [SV85: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK124_SY224 ) )
        = $true )
      | ( ( b48_buttercup10104 @ sK125_X13 )
        = $false )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2024]) ).

thf(2151,plain,
    ! [SV86: $i,SV107: $i,SV123: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK68_X47 )
                      | ~ ( k04_buttercup10100 @ sK68_X47 ) )
                | ~ ( k04_buttercup10100 @ sK69_SY183 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV123 )
        = $true )
      | ( ( b48_buttercup10110 @ SV123 )
        = $false )
      | ( ( b48_buttercup10110 @ SV107 )
        = $true )
      | ( ( k04_buttercup10100 @ SV107 )
        = $false )
      | ( ( k04_buttercup10100 @ SV86 )
        = $false )
      | ( ( b48_buttercup10110 @ SV86 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2025]) ).

thf(2152,plain,
    ! [SV86: $i,SV107: $i,SV123: $i] :
      ( ( ( ~ ~ ( b48_buttercup10110 @ sK69_SY183 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV123 )
        = $true )
      | ( ( b48_buttercup10110 @ SV123 )
        = $false )
      | ( ( b48_buttercup10110 @ SV107 )
        = $true )
      | ( ( k04_buttercup10100 @ SV107 )
        = $false )
      | ( ( k04_buttercup10100 @ SV86 )
        = $false )
      | ( ( b48_buttercup10110 @ SV86 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2025]) ).

thf(2153,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK64_X47 )
                      | ~ ( k04_buttercup10100 @ sK64_X47 ) )
                | ~ ( k04_buttercup10100 @ sK65_SY180 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK67_X51 )
        = $true )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2027]) ).

thf(2154,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( ~ ~ ( b48_buttercup10110 @ sK65_SY180 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK67_X51 )
        = $true )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2027]) ).

thf(2155,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK64_X47 )
                      | ~ ( k04_buttercup10100 @ sK64_X47 ) )
                | ~ ( k04_buttercup10100 @ sK65_SY180 ) )
          | ~ ~ ( b48_buttercup10110 @ sK65_SY180 ) )
        = $false )
      | ( ( b48_buttercup10110 @ sK67_X51 )
        = $false )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2029]) ).

thf(2156,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( k04_buttercup10100 @ sK66_SY182 )
        = $false )
      | ( ( b48_buttercup10110 @ sK67_X51 )
        = $false )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2030]) ).

thf(2157,plain,
    ! [SV88: $i,SV124: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK60_X47 )
                      | ~ ( k04_buttercup10100 @ sK60_X47 ) )
                | ~ ( k04_buttercup10100 @ sK61_SY177 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV124 )
        = $true )
      | ( ( b48_buttercup10110 @ SV124 )
        = $false )
      | ( ( b48_buttercup10110 @ sK63_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2031]) ).

thf(2158,plain,
    ! [SV88: $i,SV124: $i] :
      ( ( ( ~ ~ ( b48_buttercup10110 @ sK61_SY177 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV124 )
        = $true )
      | ( ( b48_buttercup10110 @ SV124 )
        = $false )
      | ( ( b48_buttercup10110 @ sK63_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2031]) ).

thf(2159,plain,
    ! [SV88: $i,SV133: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK60_X47 )
                      | ~ ( k04_buttercup10100 @ sK60_X47 ) )
                | ~ ( k04_buttercup10100 @ sK61_SY177 ) )
          | ~ ~ ( b48_buttercup10110 @ sK61_SY177 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV133 )
        = $true )
      | ( ( b48_buttercup10110 @ SV133 )
        = $false )
      | ( ( k04_buttercup10100 @ sK63_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2033]) ).

thf(2160,plain,
    ! [SV88: $i,SV133: $i] :
      ( ( ( k04_buttercup10100 @ sK62_SY179 )
        = $false )
      | ( ( k04_buttercup10100 @ SV133 )
        = $true )
      | ( ( b48_buttercup10110 @ SV133 )
        = $false )
      | ( ( k04_buttercup10100 @ sK63_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2034]) ).

thf(2161,plain,
    ! [SV89: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                      | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                | ~ ( k04_buttercup10100 @ sK56_SY174 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK58_X51 )
        = $true )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2035]) ).

thf(2162,plain,
    ! [SV89: $i] :
      ( ( ( ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK58_X51 )
        = $true )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2035]) ).

thf(2163,plain,
    ! [SV89: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                      | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
          | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) )
        = $false )
      | ( ( b48_buttercup10110 @ sK58_X51 )
        = $false )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2037]) ).

thf(2164,plain,
    ! [SV89: $i] :
      ( ( ( k04_buttercup10100 @ sK57_SY176 )
        = $false )
      | ( ( b48_buttercup10110 @ sK58_X51 )
        = $false )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2038]) ).

thf(2165,plain,
    ! [SV89: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                      | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
          | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK58_X51 )
        = $true )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2039]) ).

thf(2166,plain,
    ! [SV89: $i] :
      ( ( ( k04_buttercup10100 @ sK57_SY176 )
        = $false )
      | ( ( k04_buttercup10100 @ sK58_X51 )
        = $true )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2040]) ).

thf(2167,plain,
    ! [SV89: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                          | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                    | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
              | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) ) )
        = $true )
      | ( ( b48_buttercup10110 @ sK58_X51 )
        = $false )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2041]) ).

thf(2168,plain,
    ! [SV89: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK57_SY176 ) )
        = $true )
      | ( ( b48_buttercup10110 @ sK58_X51 )
        = $false )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2042]) ).

thf(2169,plain,
    ! [SV90: $i,SV109: $i,SV125: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK84_X39 )
                      | ~ ( k04_buttercup10100 @ sK84_X39 ) )
                | ~ ( k04_buttercup10100 @ sK85_SY195 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV125 )
        = $true )
      | ( ( b48_buttercup10108 @ SV125 )
        = $false )
      | ( ( b48_buttercup10108 @ SV109 )
        = $true )
      | ( ( k04_buttercup10100 @ SV109 )
        = $false )
      | ( ( k04_buttercup10100 @ SV90 )
        = $false )
      | ( ( b48_buttercup10108 @ SV90 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2043]) ).

thf(2170,plain,
    ! [SV90: $i,SV109: $i,SV125: $i] :
      ( ( ( ~ ~ ( b48_buttercup10108 @ sK85_SY195 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV125 )
        = $true )
      | ( ( b48_buttercup10108 @ SV125 )
        = $false )
      | ( ( b48_buttercup10108 @ SV109 )
        = $true )
      | ( ( k04_buttercup10100 @ SV109 )
        = $false )
      | ( ( k04_buttercup10100 @ SV90 )
        = $false )
      | ( ( b48_buttercup10108 @ SV90 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2043]) ).

thf(2171,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK80_X39 )
                      | ~ ( k04_buttercup10100 @ sK80_X39 ) )
                | ~ ( k04_buttercup10100 @ sK81_SY192 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK83_X43 )
        = $true )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2045]) ).

thf(2172,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( ~ ~ ( b48_buttercup10108 @ sK81_SY192 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK83_X43 )
        = $true )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2045]) ).

thf(2173,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK80_X39 )
                      | ~ ( k04_buttercup10100 @ sK80_X39 ) )
                | ~ ( k04_buttercup10100 @ sK81_SY192 ) )
          | ~ ~ ( b48_buttercup10108 @ sK81_SY192 ) )
        = $false )
      | ( ( b48_buttercup10108 @ sK83_X43 )
        = $false )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2047]) ).

thf(2174,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( k04_buttercup10100 @ sK82_SY194 )
        = $false )
      | ( ( b48_buttercup10108 @ sK83_X43 )
        = $false )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2048]) ).

thf(2175,plain,
    ! [SV92: $i,SV126: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK76_X39 )
                      | ~ ( k04_buttercup10100 @ sK76_X39 ) )
                | ~ ( k04_buttercup10100 @ sK77_SY189 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV126 )
        = $true )
      | ( ( b48_buttercup10108 @ SV126 )
        = $false )
      | ( ( b48_buttercup10108 @ sK79_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2049]) ).

thf(2176,plain,
    ! [SV92: $i,SV126: $i] :
      ( ( ( ~ ~ ( b48_buttercup10108 @ sK77_SY189 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV126 )
        = $true )
      | ( ( b48_buttercup10108 @ SV126 )
        = $false )
      | ( ( b48_buttercup10108 @ sK79_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2049]) ).

thf(2177,plain,
    ! [SV92: $i,SV134: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK76_X39 )
                      | ~ ( k04_buttercup10100 @ sK76_X39 ) )
                | ~ ( k04_buttercup10100 @ sK77_SY189 ) )
          | ~ ~ ( b48_buttercup10108 @ sK77_SY189 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV134 )
        = $true )
      | ( ( b48_buttercup10108 @ SV134 )
        = $false )
      | ( ( k04_buttercup10100 @ sK79_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2051]) ).

thf(2178,plain,
    ! [SV92: $i,SV134: $i] :
      ( ( ( k04_buttercup10100 @ sK78_SY191 )
        = $false )
      | ( ( k04_buttercup10100 @ SV134 )
        = $true )
      | ( ( b48_buttercup10108 @ SV134 )
        = $false )
      | ( ( k04_buttercup10100 @ sK79_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2052]) ).

thf(2179,plain,
    ! [SV93: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                      | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                | ~ ( k04_buttercup10100 @ sK72_SY186 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK74_X43 )
        = $true )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2053]) ).

thf(2180,plain,
    ! [SV93: $i] :
      ( ( ( ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK74_X43 )
        = $true )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2053]) ).

thf(2181,plain,
    ! [SV93: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                      | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
          | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) )
        = $false )
      | ( ( b48_buttercup10108 @ sK74_X43 )
        = $false )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2055]) ).

thf(2182,plain,
    ! [SV93: $i] :
      ( ( ( k04_buttercup10100 @ sK73_SY188 )
        = $false )
      | ( ( b48_buttercup10108 @ sK74_X43 )
        = $false )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2056]) ).

thf(2183,plain,
    ! [SV93: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                      | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
          | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK74_X43 )
        = $true )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2057]) ).

thf(2184,plain,
    ! [SV93: $i] :
      ( ( ( k04_buttercup10100 @ sK73_SY188 )
        = $false )
      | ( ( k04_buttercup10100 @ sK74_X43 )
        = $true )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2058]) ).

thf(2185,plain,
    ! [SV93: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                          | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                    | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
              | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) ) )
        = $true )
      | ( ( b48_buttercup10108 @ sK74_X43 )
        = $false )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2059]) ).

thf(2186,plain,
    ! [SV93: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK73_SY188 ) )
        = $true )
      | ( ( b48_buttercup10108 @ sK74_X43 )
        = $false )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2060]) ).

thf(2187,plain,
    ! [SV94: $i,SV111: $i,SV127: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK118_X19 )
                      | ~ ( k04_buttercup10619 @ sK118_X19 ) )
                | ~ ( k04_buttercup10619 @ sK119_SY219 ) ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV127 )
        = $true )
      | ( ( b48_buttercup10111 @ SV127 )
        = $false )
      | ( ( b48_buttercup10111 @ SV111 )
        = $true )
      | ( ( k04_buttercup10619 @ SV111 )
        = $false )
      | ( ( k04_buttercup10619 @ SV94 )
        = $false )
      | ( ( b48_buttercup10111 @ SV94 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2061]) ).

thf(2188,plain,
    ! [SV94: $i,SV111: $i,SV127: $i] :
      ( ( ( ~ ~ ( b48_buttercup10111 @ sK119_SY219 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV127 )
        = $true )
      | ( ( b48_buttercup10111 @ SV127 )
        = $false )
      | ( ( b48_buttercup10111 @ SV111 )
        = $true )
      | ( ( k04_buttercup10619 @ SV111 )
        = $false )
      | ( ( k04_buttercup10619 @ SV94 )
        = $false )
      | ( ( b48_buttercup10111 @ SV94 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2061]) ).

thf(2189,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK114_X19 )
                      | ~ ( k04_buttercup10619 @ sK114_X19 ) )
                | ~ ( k04_buttercup10619 @ sK115_SY216 ) ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK117_X23 )
        = $true )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2063]) ).

thf(2190,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( ~ ~ ( b48_buttercup10111 @ sK115_SY216 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK117_X23 )
        = $true )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2063]) ).

thf(2191,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK114_X19 )
                      | ~ ( k04_buttercup10619 @ sK114_X19 ) )
                | ~ ( k04_buttercup10619 @ sK115_SY216 ) )
          | ~ ~ ( b48_buttercup10111 @ sK115_SY216 ) )
        = $false )
      | ( ( b48_buttercup10111 @ sK117_X23 )
        = $false )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2065]) ).

thf(2192,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( k04_buttercup10619 @ sK116_SY218 )
        = $false )
      | ( ( b48_buttercup10111 @ sK117_X23 )
        = $false )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2066]) ).

thf(2193,plain,
    ! [SV96: $i,SV128: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK110_X19 )
                      | ~ ( k04_buttercup10619 @ sK110_X19 ) )
                | ~ ( k04_buttercup10619 @ sK111_SY213 ) ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV128 )
        = $true )
      | ( ( b48_buttercup10111 @ SV128 )
        = $false )
      | ( ( b48_buttercup10111 @ sK113_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2067]) ).

thf(2194,plain,
    ! [SV96: $i,SV128: $i] :
      ( ( ( ~ ~ ( b48_buttercup10111 @ sK111_SY213 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV128 )
        = $true )
      | ( ( b48_buttercup10111 @ SV128 )
        = $false )
      | ( ( b48_buttercup10111 @ sK113_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2067]) ).

thf(2195,plain,
    ! [SV96: $i,SV135: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK110_X19 )
                      | ~ ( k04_buttercup10619 @ sK110_X19 ) )
                | ~ ( k04_buttercup10619 @ sK111_SY213 ) )
          | ~ ~ ( b48_buttercup10111 @ sK111_SY213 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV135 )
        = $true )
      | ( ( b48_buttercup10111 @ SV135 )
        = $false )
      | ( ( k04_buttercup10619 @ sK113_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2069]) ).

thf(2196,plain,
    ! [SV96: $i,SV135: $i] :
      ( ( ( k04_buttercup10619 @ sK112_SY215 )
        = $false )
      | ( ( k04_buttercup10619 @ SV135 )
        = $true )
      | ( ( b48_buttercup10111 @ SV135 )
        = $false )
      | ( ( k04_buttercup10619 @ sK113_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2070]) ).

thf(2197,plain,
    ! [SV97: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                      | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                | ~ ( k04_buttercup10619 @ sK106_SY210 ) ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK108_X23 )
        = $true )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2071]) ).

thf(2198,plain,
    ! [SV97: $i] :
      ( ( ( ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK108_X23 )
        = $true )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2071]) ).

thf(2199,plain,
    ! [SV97: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                      | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
          | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) )
        = $false )
      | ( ( b48_buttercup10111 @ sK108_X23 )
        = $false )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2073]) ).

thf(2200,plain,
    ! [SV97: $i] :
      ( ( ( k04_buttercup10619 @ sK107_SY212 )
        = $false )
      | ( ( b48_buttercup10111 @ sK108_X23 )
        = $false )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2074]) ).

thf(2201,plain,
    ! [SV97: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                      | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
          | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK108_X23 )
        = $true )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2075]) ).

thf(2202,plain,
    ! [SV97: $i] :
      ( ( ( k04_buttercup10619 @ sK107_SY212 )
        = $false )
      | ( ( k04_buttercup10619 @ sK108_X23 )
        = $true )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2076]) ).

thf(2203,plain,
    ! [SV97: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                          | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                    | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
              | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) ) )
        = $true )
      | ( ( b48_buttercup10111 @ sK108_X23 )
        = $false )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2077]) ).

thf(2204,plain,
    ! [SV97: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK107_SY212 ) )
        = $true )
      | ( ( b48_buttercup10111 @ sK108_X23 )
        = $false )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2078]) ).

thf(2205,plain,
    ! [SV69: $i,SV99: $i,SV115: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK48_X63 )
                    | ~ ( k04_buttercup10100 @ sK48_X63 ) )
              | ~ ( k04_buttercup10100 @ sK49_SY171 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV115 )
        = $true )
      | ( ( b48_buttercup10102 @ SV115 )
        = $false )
      | ( ( b48_buttercup10102 @ SV99 )
        = $true )
      | ( ( k04_buttercup10100 @ SV99 )
        = $false )
      | ( ( k04_buttercup10100 @ SV69 )
        = $false )
      | ( ( b48_buttercup10102 @ SV69 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2079]) ).

thf(2206,plain,
    ! [SV69: $i,SV99: $i,SV115: $i] :
      ( ( ( ~ ( b48_buttercup10102 @ sK49_SY171 ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV115 )
        = $true )
      | ( ( b48_buttercup10102 @ SV115 )
        = $false )
      | ( ( b48_buttercup10102 @ SV99 )
        = $true )
      | ( ( k04_buttercup10100 @ SV99 )
        = $false )
      | ( ( k04_buttercup10100 @ SV69 )
        = $false )
      | ( ( b48_buttercup10102 @ SV69 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2080]) ).

thf(2207,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK44_X63 )
                    | ~ ( k04_buttercup10100 @ sK44_X63 ) )
              | ~ ( k04_buttercup10100 @ sK45_SY168 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK47_X67 )
        = $true )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2081]) ).

thf(2208,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( ~ ( b48_buttercup10102 @ sK45_SY168 ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK47_X67 )
        = $true )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2082]) ).

thf(2209,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK44_X63 )
                      | ~ ( k04_buttercup10100 @ sK44_X63 ) )
                | ~ ( k04_buttercup10100 @ sK45_SY168 ) ) )
        = $false )
      | ( ( b48_buttercup10102 @ sK47_X67 )
        = $false )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2083]) ).

thf(2210,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( ~ ~ ( b48_buttercup10102 @ sK45_SY168 ) )
        = $false )
      | ( ( b48_buttercup10102 @ sK47_X67 )
        = $false )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2083]) ).

thf(2211,plain,
    ! [SV71: $i,SV116: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK40_X63 )
                    | ~ ( k04_buttercup10100 @ sK40_X63 ) )
              | ~ ( k04_buttercup10100 @ sK41_SY165 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV116 )
        = $true )
      | ( ( b48_buttercup10102 @ SV116 )
        = $false )
      | ( ( b48_buttercup10102 @ sK43_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2085]) ).

thf(2212,plain,
    ! [SV71: $i,SV116: $i] :
      ( ( ( ~ ( b48_buttercup10102 @ sK41_SY165 ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV116 )
        = $true )
      | ( ( b48_buttercup10102 @ SV116 )
        = $false )
      | ( ( b48_buttercup10102 @ sK43_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2086]) ).

thf(2213,plain,
    ! [SV71: $i,SV129: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK40_X63 )
                      | ~ ( k04_buttercup10100 @ sK40_X63 ) )
                | ~ ( k04_buttercup10100 @ sK41_SY165 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV129 )
        = $true )
      | ( ( b48_buttercup10102 @ SV129 )
        = $false )
      | ( ( k04_buttercup10100 @ sK43_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2087]) ).

thf(2214,plain,
    ! [SV71: $i,SV129: $i] :
      ( ( ( ~ ~ ( b48_buttercup10102 @ sK41_SY165 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV129 )
        = $true )
      | ( ( b48_buttercup10102 @ SV129 )
        = $false )
      | ( ( k04_buttercup10100 @ sK43_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2087]) ).

thf(2215,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                    | ~ ( k04_buttercup10100 @ sK35_X63 ) )
              | ~ ( k04_buttercup10100 @ sK36_SY162 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK38_X67 )
        = $true )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2089]) ).

thf(2216,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( b48_buttercup10102 @ sK36_SY162 ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK38_X67 )
        = $true )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2090]) ).

thf(2217,plain,
    ! [SV72: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                      | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                | ~ ( k04_buttercup10100 @ sK36_SY162 ) ) )
        = $false )
      | ( ( b48_buttercup10102 @ sK38_X67 )
        = $false )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2091]) ).

thf(2218,plain,
    ! [SV72: $i] :
      ( ( ( ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) )
        = $false )
      | ( ( b48_buttercup10102 @ sK38_X67 )
        = $false )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2091]) ).

thf(2219,plain,
    ! [SV72: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                      | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                | ~ ( k04_buttercup10100 @ sK36_SY162 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK38_X67 )
        = $true )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2093]) ).

thf(2220,plain,
    ! [SV72: $i] :
      ( ( ( ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK38_X67 )
        = $true )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2093]) ).

thf(2221,plain,
    ! [SV72: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                      | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
          | ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) )
        = $false )
      | ( ( b48_buttercup10102 @ sK38_X67 )
        = $false )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2095]) ).

thf(2222,plain,
    ! [SV72: $i] :
      ( ( ( k04_buttercup10100 @ sK37_SY164 )
        = $false )
      | ( ( b48_buttercup10102 @ sK38_X67 )
        = $false )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2096]) ).

thf(2223,plain,
    ! [SV74: $i,SV101: $i,SV117: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK101_X29 )
                    | ~ ( k04_buttercup10619 @ sK101_X29 ) )
              | ~ ( k04_buttercup10619 @ sK102_SY207 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV117 )
        = $true )
      | ( ( b48_buttercup10109 @ SV117 )
        = $false )
      | ( ( b48_buttercup10109 @ SV101 )
        = $true )
      | ( ( k04_buttercup10619 @ SV101 )
        = $false )
      | ( ( k04_buttercup10619 @ SV74 )
        = $false )
      | ( ( b48_buttercup10109 @ SV74 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2097]) ).

thf(2224,plain,
    ! [SV74: $i,SV101: $i,SV117: $i] :
      ( ( ( ~ ( b48_buttercup10109 @ sK102_SY207 ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV117 )
        = $true )
      | ( ( b48_buttercup10109 @ SV117 )
        = $false )
      | ( ( b48_buttercup10109 @ SV101 )
        = $true )
      | ( ( k04_buttercup10619 @ SV101 )
        = $false )
      | ( ( k04_buttercup10619 @ SV74 )
        = $false )
      | ( ( b48_buttercup10109 @ SV74 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2098]) ).

thf(2225,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK97_X29 )
                    | ~ ( k04_buttercup10619 @ sK97_X29 ) )
              | ~ ( k04_buttercup10619 @ sK98_SY204 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ sK100_X33 )
        = $true )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2099]) ).

thf(2226,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( ~ ( b48_buttercup10109 @ sK98_SY204 ) )
        = $true )
      | ( ( k04_buttercup10619 @ sK100_X33 )
        = $true )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2100]) ).

thf(2227,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK97_X29 )
                      | ~ ( k04_buttercup10619 @ sK97_X29 ) )
                | ~ ( k04_buttercup10619 @ sK98_SY204 ) ) )
        = $false )
      | ( ( b48_buttercup10109 @ sK100_X33 )
        = $false )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2101]) ).

thf(2228,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( ~ ~ ( b48_buttercup10109 @ sK98_SY204 ) )
        = $false )
      | ( ( b48_buttercup10109 @ sK100_X33 )
        = $false )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2101]) ).

thf(2229,plain,
    ! [SV76: $i,SV118: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK93_X29 )
                    | ~ ( k04_buttercup10619 @ sK93_X29 ) )
              | ~ ( k04_buttercup10619 @ sK94_SY201 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV118 )
        = $true )
      | ( ( b48_buttercup10109 @ SV118 )
        = $false )
      | ( ( b48_buttercup10109 @ sK96_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2103]) ).

thf(2230,plain,
    ! [SV76: $i,SV118: $i] :
      ( ( ( ~ ( b48_buttercup10109 @ sK94_SY201 ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV118 )
        = $true )
      | ( ( b48_buttercup10109 @ SV118 )
        = $false )
      | ( ( b48_buttercup10109 @ sK96_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2104]) ).

thf(2231,plain,
    ! [SV76: $i,SV130: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK93_X29 )
                      | ~ ( k04_buttercup10619 @ sK93_X29 ) )
                | ~ ( k04_buttercup10619 @ sK94_SY201 ) ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV130 )
        = $true )
      | ( ( b48_buttercup10109 @ SV130 )
        = $false )
      | ( ( k04_buttercup10619 @ sK96_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2105]) ).

thf(2232,plain,
    ! [SV76: $i,SV130: $i] :
      ( ( ( ~ ~ ( b48_buttercup10109 @ sK94_SY201 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV130 )
        = $true )
      | ( ( b48_buttercup10109 @ SV130 )
        = $false )
      | ( ( k04_buttercup10619 @ sK96_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2105]) ).

thf(2233,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                    | ~ ( k04_buttercup10619 @ sK88_X29 ) )
              | ~ ( k04_buttercup10619 @ sK89_SY198 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ sK91_X33 )
        = $true )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2107]) ).

thf(2234,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( b48_buttercup10109 @ sK89_SY198 ) )
        = $true )
      | ( ( k04_buttercup10619 @ sK91_X33 )
        = $true )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2108]) ).

thf(2235,plain,
    ! [SV77: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                      | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                | ~ ( k04_buttercup10619 @ sK89_SY198 ) ) )
        = $false )
      | ( ( b48_buttercup10109 @ sK91_X33 )
        = $false )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2109]) ).

thf(2236,plain,
    ! [SV77: $i] :
      ( ( ( ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) )
        = $false )
      | ( ( b48_buttercup10109 @ sK91_X33 )
        = $false )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2109]) ).

thf(2237,plain,
    ! [SV77: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                      | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                | ~ ( k04_buttercup10619 @ sK89_SY198 ) ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK91_X33 )
        = $true )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2111]) ).

thf(2238,plain,
    ! [SV77: $i] :
      ( ( ( ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK91_X33 )
        = $true )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2111]) ).

thf(2239,plain,
    ! [SV77: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                      | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
          | ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) )
        = $false )
      | ( ( b48_buttercup10109 @ sK91_X33 )
        = $false )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2113]) ).

thf(2240,plain,
    ! [SV77: $i] :
      ( ( ( k04_buttercup10619 @ sK90_SY200 )
        = $false )
      | ( ( b48_buttercup10109 @ sK91_X33 )
        = $false )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2114]) ).

thf(2241,plain,
    ! [SV78: $i,SV103: $i,SV119: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK31_X74 )
                    | ~ ( k04_buttercup10100 @ sK31_X74 ) )
              | ~ ( k04_buttercup10100 @ sK32_SY159 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV119 )
        = $true )
      | ( ( b48_buttercup10107 @ SV119 )
        = $false )
      | ( ( b48_buttercup10107 @ SV103 )
        = $true )
      | ( ( k04_buttercup10100 @ SV103 )
        = $false )
      | ( ( k04_buttercup10100 @ SV78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV78 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2115]) ).

thf(2242,plain,
    ! [SV78: $i,SV103: $i,SV119: $i] :
      ( ( ( ~ ( b48_buttercup10107 @ sK32_SY159 ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV119 )
        = $true )
      | ( ( b48_buttercup10107 @ SV119 )
        = $false )
      | ( ( b48_buttercup10107 @ SV103 )
        = $true )
      | ( ( k04_buttercup10100 @ SV103 )
        = $false )
      | ( ( k04_buttercup10100 @ SV78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV78 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2116]) ).

thf(2243,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK27_X74 )
                    | ~ ( k04_buttercup10100 @ sK27_X74 ) )
              | ~ ( k04_buttercup10100 @ sK28_SY156 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK30_X78 )
        = $true )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2117]) ).

thf(2244,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( ~ ( b48_buttercup10107 @ sK28_SY156 ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK30_X78 )
        = $true )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2118]) ).

thf(2245,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK27_X74 )
                      | ~ ( k04_buttercup10100 @ sK27_X74 ) )
                | ~ ( k04_buttercup10100 @ sK28_SY156 ) ) )
        = $false )
      | ( ( b48_buttercup10107 @ sK30_X78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2119]) ).

thf(2246,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( ~ ~ ( b48_buttercup10107 @ sK28_SY156 ) )
        = $false )
      | ( ( b48_buttercup10107 @ sK30_X78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2119]) ).

thf(2247,plain,
    ! [SV80: $i,SV120: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK23_X74 )
                    | ~ ( k04_buttercup10100 @ sK23_X74 ) )
              | ~ ( k04_buttercup10100 @ sK24_SY153 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV120 )
        = $true )
      | ( ( b48_buttercup10107 @ SV120 )
        = $false )
      | ( ( b48_buttercup10107 @ sK26_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2121]) ).

thf(2248,plain,
    ! [SV80: $i,SV120: $i] :
      ( ( ( ~ ( b48_buttercup10107 @ sK24_SY153 ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV120 )
        = $true )
      | ( ( b48_buttercup10107 @ SV120 )
        = $false )
      | ( ( b48_buttercup10107 @ sK26_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2122]) ).

thf(2249,plain,
    ! [SV80: $i,SV131: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK23_X74 )
                      | ~ ( k04_buttercup10100 @ sK23_X74 ) )
                | ~ ( k04_buttercup10100 @ sK24_SY153 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV131 )
        = $true )
      | ( ( b48_buttercup10107 @ SV131 )
        = $false )
      | ( ( k04_buttercup10100 @ sK26_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2123]) ).

thf(2250,plain,
    ! [SV80: $i,SV131: $i] :
      ( ( ( ~ ~ ( b48_buttercup10107 @ sK24_SY153 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV131 )
        = $true )
      | ( ( b48_buttercup10107 @ SV131 )
        = $false )
      | ( ( k04_buttercup10100 @ sK26_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2123]) ).

thf(2251,plain,
    ! [SV81: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                    | ~ ( k04_buttercup10100 @ sK18_X74 ) )
              | ~ ( k04_buttercup10100 @ sK19_SY150 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK21_X78 )
        = $true )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2125]) ).

thf(2252,plain,
    ! [SV81: $i] :
      ( ( ( ~ ( b48_buttercup10107 @ sK19_SY150 ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK21_X78 )
        = $true )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2126]) ).

thf(2253,plain,
    ! [SV81: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                      | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                | ~ ( k04_buttercup10100 @ sK19_SY150 ) ) )
        = $false )
      | ( ( b48_buttercup10107 @ sK21_X78 )
        = $false )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2127]) ).

thf(2254,plain,
    ! [SV81: $i] :
      ( ( ( ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) )
        = $false )
      | ( ( b48_buttercup10107 @ sK21_X78 )
        = $false )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2127]) ).

thf(2255,plain,
    ! [SV81: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                      | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                | ~ ( k04_buttercup10100 @ sK19_SY150 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK21_X78 )
        = $true )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2129]) ).

thf(2256,plain,
    ! [SV81: $i] :
      ( ( ( ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK21_X78 )
        = $true )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2129]) ).

thf(2257,plain,
    ! [SV81: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                      | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
          | ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) )
        = $false )
      | ( ( b48_buttercup10107 @ sK21_X78 )
        = $false )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2131]) ).

thf(2258,plain,
    ! [SV81: $i] :
      ( ( ( k04_buttercup10100 @ sK20_SY152 )
        = $false )
      | ( ( b48_buttercup10107 @ sK21_X78 )
        = $false )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2132]) ).

thf(2259,plain,
    ! [SV82: $i,SV105: $i,SV121: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK135_X9 )
                    | ~ ( k04_buttercup10100 @ sK135_X9 ) )
              | ~ ( k04_buttercup10100 @ sK136_SY231 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV121 )
        = $true )
      | ( ( b48_buttercup10104 @ SV121 )
        = $false )
      | ( ( b48_buttercup10104 @ SV105 )
        = $true )
      | ( ( k04_buttercup10100 @ SV105 )
        = $false )
      | ( ( k04_buttercup10100 @ SV82 )
        = $false )
      | ( ( b48_buttercup10104 @ SV82 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2133]) ).

thf(2260,plain,
    ! [SV82: $i,SV105: $i,SV121: $i] :
      ( ( ( ~ ( b48_buttercup10104 @ sK136_SY231 ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV121 )
        = $true )
      | ( ( b48_buttercup10104 @ SV121 )
        = $false )
      | ( ( b48_buttercup10104 @ SV105 )
        = $true )
      | ( ( k04_buttercup10100 @ SV105 )
        = $false )
      | ( ( k04_buttercup10100 @ SV82 )
        = $false )
      | ( ( b48_buttercup10104 @ SV82 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2134]) ).

thf(2261,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK131_X9 )
                    | ~ ( k04_buttercup10100 @ sK131_X9 ) )
              | ~ ( k04_buttercup10100 @ sK132_SY228 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK134_X13 )
        = $true )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2135]) ).

thf(2262,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( ~ ( b48_buttercup10104 @ sK132_SY228 ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK134_X13 )
        = $true )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2136]) ).

thf(2263,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK131_X9 )
                      | ~ ( k04_buttercup10100 @ sK131_X9 ) )
                | ~ ( k04_buttercup10100 @ sK132_SY228 ) ) )
        = $false )
      | ( ( b48_buttercup10104 @ sK134_X13 )
        = $false )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2137]) ).

thf(2264,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( ~ ~ ( b48_buttercup10104 @ sK132_SY228 ) )
        = $false )
      | ( ( b48_buttercup10104 @ sK134_X13 )
        = $false )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2137]) ).

thf(2265,plain,
    ! [SV84: $i,SV122: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK127_X9 )
                    | ~ ( k04_buttercup10100 @ sK127_X9 ) )
              | ~ ( k04_buttercup10100 @ sK128_SY225 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV122 )
        = $true )
      | ( ( b48_buttercup10104 @ SV122 )
        = $false )
      | ( ( b48_buttercup10104 @ sK130_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2139]) ).

thf(2266,plain,
    ! [SV84: $i,SV122: $i] :
      ( ( ( ~ ( b48_buttercup10104 @ sK128_SY225 ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV122 )
        = $true )
      | ( ( b48_buttercup10104 @ SV122 )
        = $false )
      | ( ( b48_buttercup10104 @ sK130_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2140]) ).

thf(2267,plain,
    ! [SV84: $i,SV132: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK127_X9 )
                      | ~ ( k04_buttercup10100 @ sK127_X9 ) )
                | ~ ( k04_buttercup10100 @ sK128_SY225 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV132 )
        = $true )
      | ( ( b48_buttercup10104 @ SV132 )
        = $false )
      | ( ( k04_buttercup10100 @ sK130_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2141]) ).

thf(2268,plain,
    ! [SV84: $i,SV132: $i] :
      ( ( ( ~ ~ ( b48_buttercup10104 @ sK128_SY225 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV132 )
        = $true )
      | ( ( b48_buttercup10104 @ SV132 )
        = $false )
      | ( ( k04_buttercup10100 @ sK130_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2141]) ).

thf(2269,plain,
    ! [SV85: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                    | ~ ( k04_buttercup10100 @ sK122_X9 ) )
              | ~ ( k04_buttercup10100 @ sK123_SY222 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK125_X13 )
        = $true )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2143]) ).

thf(2270,plain,
    ! [SV85: $i] :
      ( ( ( ~ ( b48_buttercup10104 @ sK123_SY222 ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK125_X13 )
        = $true )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2144]) ).

thf(2271,plain,
    ! [SV85: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                      | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                | ~ ( k04_buttercup10100 @ sK123_SY222 ) ) )
        = $false )
      | ( ( b48_buttercup10104 @ sK125_X13 )
        = $false )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2145]) ).

thf(2272,plain,
    ! [SV85: $i] :
      ( ( ( ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) )
        = $false )
      | ( ( b48_buttercup10104 @ sK125_X13 )
        = $false )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2145]) ).

thf(2273,plain,
    ! [SV85: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                      | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                | ~ ( k04_buttercup10100 @ sK123_SY222 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK125_X13 )
        = $true )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2147]) ).

thf(2274,plain,
    ! [SV85: $i] :
      ( ( ( ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK125_X13 )
        = $true )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2147]) ).

thf(2275,plain,
    ! [SV85: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                      | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
          | ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) )
        = $false )
      | ( ( b48_buttercup10104 @ sK125_X13 )
        = $false )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2149]) ).

thf(2276,plain,
    ! [SV85: $i] :
      ( ( ( k04_buttercup10100 @ sK124_SY224 )
        = $false )
      | ( ( b48_buttercup10104 @ sK125_X13 )
        = $false )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2150]) ).

thf(2277,plain,
    ! [SV86: $i,SV107: $i,SV123: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK68_X47 )
                    | ~ ( k04_buttercup10100 @ sK68_X47 ) )
              | ~ ( k04_buttercup10100 @ sK69_SY183 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV123 )
        = $true )
      | ( ( b48_buttercup10110 @ SV123 )
        = $false )
      | ( ( b48_buttercup10110 @ SV107 )
        = $true )
      | ( ( k04_buttercup10100 @ SV107 )
        = $false )
      | ( ( k04_buttercup10100 @ SV86 )
        = $false )
      | ( ( b48_buttercup10110 @ SV86 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2151]) ).

thf(2278,plain,
    ! [SV86: $i,SV107: $i,SV123: $i] :
      ( ( ( ~ ( b48_buttercup10110 @ sK69_SY183 ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV123 )
        = $true )
      | ( ( b48_buttercup10110 @ SV123 )
        = $false )
      | ( ( b48_buttercup10110 @ SV107 )
        = $true )
      | ( ( k04_buttercup10100 @ SV107 )
        = $false )
      | ( ( k04_buttercup10100 @ SV86 )
        = $false )
      | ( ( b48_buttercup10110 @ SV86 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2152]) ).

thf(2279,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK64_X47 )
                    | ~ ( k04_buttercup10100 @ sK64_X47 ) )
              | ~ ( k04_buttercup10100 @ sK65_SY180 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK67_X51 )
        = $true )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2153]) ).

thf(2280,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( ~ ( b48_buttercup10110 @ sK65_SY180 ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK67_X51 )
        = $true )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2154]) ).

thf(2281,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK64_X47 )
                      | ~ ( k04_buttercup10100 @ sK64_X47 ) )
                | ~ ( k04_buttercup10100 @ sK65_SY180 ) ) )
        = $false )
      | ( ( b48_buttercup10110 @ sK67_X51 )
        = $false )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2155]) ).

thf(2282,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( ~ ~ ( b48_buttercup10110 @ sK65_SY180 ) )
        = $false )
      | ( ( b48_buttercup10110 @ sK67_X51 )
        = $false )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2155]) ).

thf(2283,plain,
    ! [SV88: $i,SV124: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK60_X47 )
                    | ~ ( k04_buttercup10100 @ sK60_X47 ) )
              | ~ ( k04_buttercup10100 @ sK61_SY177 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV124 )
        = $true )
      | ( ( b48_buttercup10110 @ SV124 )
        = $false )
      | ( ( b48_buttercup10110 @ sK63_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2157]) ).

thf(2284,plain,
    ! [SV88: $i,SV124: $i] :
      ( ( ( ~ ( b48_buttercup10110 @ sK61_SY177 ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV124 )
        = $true )
      | ( ( b48_buttercup10110 @ SV124 )
        = $false )
      | ( ( b48_buttercup10110 @ sK63_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2158]) ).

thf(2285,plain,
    ! [SV88: $i,SV133: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK60_X47 )
                      | ~ ( k04_buttercup10100 @ sK60_X47 ) )
                | ~ ( k04_buttercup10100 @ sK61_SY177 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV133 )
        = $true )
      | ( ( b48_buttercup10110 @ SV133 )
        = $false )
      | ( ( k04_buttercup10100 @ sK63_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2159]) ).

thf(2286,plain,
    ! [SV88: $i,SV133: $i] :
      ( ( ( ~ ~ ( b48_buttercup10110 @ sK61_SY177 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV133 )
        = $true )
      | ( ( b48_buttercup10110 @ SV133 )
        = $false )
      | ( ( k04_buttercup10100 @ sK63_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2159]) ).

thf(2287,plain,
    ! [SV89: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                    | ~ ( k04_buttercup10100 @ sK55_X47 ) )
              | ~ ( k04_buttercup10100 @ sK56_SY174 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK58_X51 )
        = $true )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2161]) ).

thf(2288,plain,
    ! [SV89: $i] :
      ( ( ( ~ ( b48_buttercup10110 @ sK56_SY174 ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK58_X51 )
        = $true )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2162]) ).

thf(2289,plain,
    ! [SV89: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                      | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                | ~ ( k04_buttercup10100 @ sK56_SY174 ) ) )
        = $false )
      | ( ( b48_buttercup10110 @ sK58_X51 )
        = $false )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2163]) ).

thf(2290,plain,
    ! [SV89: $i] :
      ( ( ( ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) )
        = $false )
      | ( ( b48_buttercup10110 @ sK58_X51 )
        = $false )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2163]) ).

thf(2291,plain,
    ! [SV89: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                      | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                | ~ ( k04_buttercup10100 @ sK56_SY174 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK58_X51 )
        = $true )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2165]) ).

thf(2292,plain,
    ! [SV89: $i] :
      ( ( ( ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK58_X51 )
        = $true )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2165]) ).

thf(2293,plain,
    ! [SV89: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                      | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
          | ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) )
        = $false )
      | ( ( b48_buttercup10110 @ sK58_X51 )
        = $false )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2167]) ).

thf(2294,plain,
    ! [SV89: $i] :
      ( ( ( k04_buttercup10100 @ sK57_SY176 )
        = $false )
      | ( ( b48_buttercup10110 @ sK58_X51 )
        = $false )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2168]) ).

thf(2295,plain,
    ! [SV90: $i,SV109: $i,SV125: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK84_X39 )
                    | ~ ( k04_buttercup10100 @ sK84_X39 ) )
              | ~ ( k04_buttercup10100 @ sK85_SY195 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV125 )
        = $true )
      | ( ( b48_buttercup10108 @ SV125 )
        = $false )
      | ( ( b48_buttercup10108 @ SV109 )
        = $true )
      | ( ( k04_buttercup10100 @ SV109 )
        = $false )
      | ( ( k04_buttercup10100 @ SV90 )
        = $false )
      | ( ( b48_buttercup10108 @ SV90 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2169]) ).

thf(2296,plain,
    ! [SV90: $i,SV109: $i,SV125: $i] :
      ( ( ( ~ ( b48_buttercup10108 @ sK85_SY195 ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV125 )
        = $true )
      | ( ( b48_buttercup10108 @ SV125 )
        = $false )
      | ( ( b48_buttercup10108 @ SV109 )
        = $true )
      | ( ( k04_buttercup10100 @ SV109 )
        = $false )
      | ( ( k04_buttercup10100 @ SV90 )
        = $false )
      | ( ( b48_buttercup10108 @ SV90 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2170]) ).

thf(2297,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK80_X39 )
                    | ~ ( k04_buttercup10100 @ sK80_X39 ) )
              | ~ ( k04_buttercup10100 @ sK81_SY192 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK83_X43 )
        = $true )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2171]) ).

thf(2298,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( ~ ( b48_buttercup10108 @ sK81_SY192 ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK83_X43 )
        = $true )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2172]) ).

thf(2299,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK80_X39 )
                      | ~ ( k04_buttercup10100 @ sK80_X39 ) )
                | ~ ( k04_buttercup10100 @ sK81_SY192 ) ) )
        = $false )
      | ( ( b48_buttercup10108 @ sK83_X43 )
        = $false )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2173]) ).

thf(2300,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( ~ ~ ( b48_buttercup10108 @ sK81_SY192 ) )
        = $false )
      | ( ( b48_buttercup10108 @ sK83_X43 )
        = $false )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2173]) ).

thf(2301,plain,
    ! [SV92: $i,SV126: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK76_X39 )
                    | ~ ( k04_buttercup10100 @ sK76_X39 ) )
              | ~ ( k04_buttercup10100 @ sK77_SY189 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV126 )
        = $true )
      | ( ( b48_buttercup10108 @ SV126 )
        = $false )
      | ( ( b48_buttercup10108 @ sK79_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2175]) ).

thf(2302,plain,
    ! [SV92: $i,SV126: $i] :
      ( ( ( ~ ( b48_buttercup10108 @ sK77_SY189 ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV126 )
        = $true )
      | ( ( b48_buttercup10108 @ SV126 )
        = $false )
      | ( ( b48_buttercup10108 @ sK79_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2176]) ).

thf(2303,plain,
    ! [SV92: $i,SV134: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK76_X39 )
                      | ~ ( k04_buttercup10100 @ sK76_X39 ) )
                | ~ ( k04_buttercup10100 @ sK77_SY189 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV134 )
        = $true )
      | ( ( b48_buttercup10108 @ SV134 )
        = $false )
      | ( ( k04_buttercup10100 @ sK79_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2177]) ).

thf(2304,plain,
    ! [SV92: $i,SV134: $i] :
      ( ( ( ~ ~ ( b48_buttercup10108 @ sK77_SY189 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV134 )
        = $true )
      | ( ( b48_buttercup10108 @ SV134 )
        = $false )
      | ( ( k04_buttercup10100 @ sK79_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2177]) ).

thf(2305,plain,
    ! [SV93: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                    | ~ ( k04_buttercup10100 @ sK71_X39 ) )
              | ~ ( k04_buttercup10100 @ sK72_SY186 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK74_X43 )
        = $true )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2179]) ).

thf(2306,plain,
    ! [SV93: $i] :
      ( ( ( ~ ( b48_buttercup10108 @ sK72_SY186 ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK74_X43 )
        = $true )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2180]) ).

thf(2307,plain,
    ! [SV93: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                      | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                | ~ ( k04_buttercup10100 @ sK72_SY186 ) ) )
        = $false )
      | ( ( b48_buttercup10108 @ sK74_X43 )
        = $false )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2181]) ).

thf(2308,plain,
    ! [SV93: $i] :
      ( ( ( ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) )
        = $false )
      | ( ( b48_buttercup10108 @ sK74_X43 )
        = $false )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2181]) ).

thf(2309,plain,
    ! [SV93: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                      | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                | ~ ( k04_buttercup10100 @ sK72_SY186 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK74_X43 )
        = $true )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2183]) ).

thf(2310,plain,
    ! [SV93: $i] :
      ( ( ( ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK74_X43 )
        = $true )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2183]) ).

thf(2311,plain,
    ! [SV93: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                      | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
          | ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) )
        = $false )
      | ( ( b48_buttercup10108 @ sK74_X43 )
        = $false )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2185]) ).

thf(2312,plain,
    ! [SV93: $i] :
      ( ( ( k04_buttercup10100 @ sK73_SY188 )
        = $false )
      | ( ( b48_buttercup10108 @ sK74_X43 )
        = $false )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2186]) ).

thf(2313,plain,
    ! [SV94: $i,SV111: $i,SV127: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK118_X19 )
                    | ~ ( k04_buttercup10619 @ sK118_X19 ) )
              | ~ ( k04_buttercup10619 @ sK119_SY219 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV127 )
        = $true )
      | ( ( b48_buttercup10111 @ SV127 )
        = $false )
      | ( ( b48_buttercup10111 @ SV111 )
        = $true )
      | ( ( k04_buttercup10619 @ SV111 )
        = $false )
      | ( ( k04_buttercup10619 @ SV94 )
        = $false )
      | ( ( b48_buttercup10111 @ SV94 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2187]) ).

thf(2314,plain,
    ! [SV94: $i,SV111: $i,SV127: $i] :
      ( ( ( ~ ( b48_buttercup10111 @ sK119_SY219 ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV127 )
        = $true )
      | ( ( b48_buttercup10111 @ SV127 )
        = $false )
      | ( ( b48_buttercup10111 @ SV111 )
        = $true )
      | ( ( k04_buttercup10619 @ SV111 )
        = $false )
      | ( ( k04_buttercup10619 @ SV94 )
        = $false )
      | ( ( b48_buttercup10111 @ SV94 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2188]) ).

thf(2315,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK114_X19 )
                    | ~ ( k04_buttercup10619 @ sK114_X19 ) )
              | ~ ( k04_buttercup10619 @ sK115_SY216 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ sK117_X23 )
        = $true )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2189]) ).

thf(2316,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( ~ ( b48_buttercup10111 @ sK115_SY216 ) )
        = $true )
      | ( ( k04_buttercup10619 @ sK117_X23 )
        = $true )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2190]) ).

thf(2317,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK114_X19 )
                      | ~ ( k04_buttercup10619 @ sK114_X19 ) )
                | ~ ( k04_buttercup10619 @ sK115_SY216 ) ) )
        = $false )
      | ( ( b48_buttercup10111 @ sK117_X23 )
        = $false )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2191]) ).

thf(2318,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( ~ ~ ( b48_buttercup10111 @ sK115_SY216 ) )
        = $false )
      | ( ( b48_buttercup10111 @ sK117_X23 )
        = $false )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2191]) ).

thf(2319,plain,
    ! [SV96: $i,SV128: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK110_X19 )
                    | ~ ( k04_buttercup10619 @ sK110_X19 ) )
              | ~ ( k04_buttercup10619 @ sK111_SY213 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV128 )
        = $true )
      | ( ( b48_buttercup10111 @ SV128 )
        = $false )
      | ( ( b48_buttercup10111 @ sK113_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2193]) ).

thf(2320,plain,
    ! [SV96: $i,SV128: $i] :
      ( ( ( ~ ( b48_buttercup10111 @ sK111_SY213 ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV128 )
        = $true )
      | ( ( b48_buttercup10111 @ SV128 )
        = $false )
      | ( ( b48_buttercup10111 @ sK113_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2194]) ).

thf(2321,plain,
    ! [SV96: $i,SV135: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK110_X19 )
                      | ~ ( k04_buttercup10619 @ sK110_X19 ) )
                | ~ ( k04_buttercup10619 @ sK111_SY213 ) ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV135 )
        = $true )
      | ( ( b48_buttercup10111 @ SV135 )
        = $false )
      | ( ( k04_buttercup10619 @ sK113_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2195]) ).

thf(2322,plain,
    ! [SV96: $i,SV135: $i] :
      ( ( ( ~ ~ ( b48_buttercup10111 @ sK111_SY213 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV135 )
        = $true )
      | ( ( b48_buttercup10111 @ SV135 )
        = $false )
      | ( ( k04_buttercup10619 @ sK113_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2195]) ).

thf(2323,plain,
    ! [SV97: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                    | ~ ( k04_buttercup10619 @ sK105_X19 ) )
              | ~ ( k04_buttercup10619 @ sK106_SY210 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ sK108_X23 )
        = $true )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2197]) ).

thf(2324,plain,
    ! [SV97: $i] :
      ( ( ( ~ ( b48_buttercup10111 @ sK106_SY210 ) )
        = $true )
      | ( ( k04_buttercup10619 @ sK108_X23 )
        = $true )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2198]) ).

thf(2325,plain,
    ! [SV97: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                      | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                | ~ ( k04_buttercup10619 @ sK106_SY210 ) ) )
        = $false )
      | ( ( b48_buttercup10111 @ sK108_X23 )
        = $false )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2199]) ).

thf(2326,plain,
    ! [SV97: $i] :
      ( ( ( ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) )
        = $false )
      | ( ( b48_buttercup10111 @ sK108_X23 )
        = $false )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2199]) ).

thf(2327,plain,
    ! [SV97: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                      | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                | ~ ( k04_buttercup10619 @ sK106_SY210 ) ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK108_X23 )
        = $true )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2201]) ).

thf(2328,plain,
    ! [SV97: $i] :
      ( ( ( ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK108_X23 )
        = $true )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2201]) ).

thf(2329,plain,
    ! [SV97: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                      | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
          | ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) )
        = $false )
      | ( ( b48_buttercup10111 @ sK108_X23 )
        = $false )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2203]) ).

thf(2330,plain,
    ! [SV97: $i] :
      ( ( ( k04_buttercup10619 @ sK107_SY212 )
        = $false )
      | ( ( b48_buttercup10111 @ sK108_X23 )
        = $false )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2204]) ).

thf(2331,plain,
    ! [SV69: $i,SV99: $i,SV115: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10102 @ sK48_X63 )
                | ~ ( k04_buttercup10100 @ sK48_X63 ) )
          | ~ ( k04_buttercup10100 @ sK49_SY171 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV115 )
        = $true )
      | ( ( b48_buttercup10102 @ SV115 )
        = $false )
      | ( ( b48_buttercup10102 @ SV99 )
        = $true )
      | ( ( k04_buttercup10100 @ SV99 )
        = $false )
      | ( ( k04_buttercup10100 @ SV69 )
        = $false )
      | ( ( b48_buttercup10102 @ SV69 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2205]) ).

thf(2332,plain,
    ! [SV69: $i,SV99: $i,SV115: $i] :
      ( ( ( b48_buttercup10102 @ sK49_SY171 )
        = $false )
      | ( ( k04_buttercup10100 @ SV115 )
        = $true )
      | ( ( b48_buttercup10102 @ SV115 )
        = $false )
      | ( ( b48_buttercup10102 @ SV99 )
        = $true )
      | ( ( k04_buttercup10100 @ SV99 )
        = $false )
      | ( ( k04_buttercup10100 @ SV69 )
        = $false )
      | ( ( b48_buttercup10102 @ SV69 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2206]) ).

thf(2333,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10102 @ sK44_X63 )
                | ~ ( k04_buttercup10100 @ sK44_X63 ) )
          | ~ ( k04_buttercup10100 @ sK45_SY168 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK47_X67 )
        = $true )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2207]) ).

thf(2334,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( b48_buttercup10102 @ sK45_SY168 )
        = $false )
      | ( ( k04_buttercup10100 @ sK47_X67 )
        = $true )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2208]) ).

thf(2335,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK44_X63 )
                    | ~ ( k04_buttercup10100 @ sK44_X63 ) )
              | ~ ( k04_buttercup10100 @ sK45_SY168 ) ) )
        = $true )
      | ( ( b48_buttercup10102 @ sK47_X67 )
        = $false )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2209]) ).

thf(2336,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( ~ ( b48_buttercup10102 @ sK45_SY168 ) )
        = $true )
      | ( ( b48_buttercup10102 @ sK47_X67 )
        = $false )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2210]) ).

thf(2337,plain,
    ! [SV71: $i,SV116: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10102 @ sK40_X63 )
                | ~ ( k04_buttercup10100 @ sK40_X63 ) )
          | ~ ( k04_buttercup10100 @ sK41_SY165 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV116 )
        = $true )
      | ( ( b48_buttercup10102 @ SV116 )
        = $false )
      | ( ( b48_buttercup10102 @ sK43_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2211]) ).

thf(2338,plain,
    ! [SV71: $i,SV116: $i] :
      ( ( ( b48_buttercup10102 @ sK41_SY165 )
        = $false )
      | ( ( k04_buttercup10100 @ SV116 )
        = $true )
      | ( ( b48_buttercup10102 @ SV116 )
        = $false )
      | ( ( b48_buttercup10102 @ sK43_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2212]) ).

thf(2339,plain,
    ! [SV71: $i,SV129: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK40_X63 )
                    | ~ ( k04_buttercup10100 @ sK40_X63 ) )
              | ~ ( k04_buttercup10100 @ sK41_SY165 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV129 )
        = $true )
      | ( ( b48_buttercup10102 @ SV129 )
        = $false )
      | ( ( k04_buttercup10100 @ sK43_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2213]) ).

thf(2340,plain,
    ! [SV71: $i,SV129: $i] :
      ( ( ( ~ ( b48_buttercup10102 @ sK41_SY165 ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV129 )
        = $true )
      | ( ( b48_buttercup10102 @ SV129 )
        = $false )
      | ( ( k04_buttercup10100 @ sK43_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2214]) ).

thf(2341,plain,
    ! [SV72: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                | ~ ( k04_buttercup10100 @ sK35_X63 ) )
          | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK38_X67 )
        = $true )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2215]) ).

thf(2342,plain,
    ! [SV72: $i] :
      ( ( ( b48_buttercup10102 @ sK36_SY162 )
        = $false )
      | ( ( k04_buttercup10100 @ sK38_X67 )
        = $true )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2216]) ).

thf(2343,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                    | ~ ( k04_buttercup10100 @ sK35_X63 ) )
              | ~ ( k04_buttercup10100 @ sK36_SY162 ) ) )
        = $true )
      | ( ( b48_buttercup10102 @ sK38_X67 )
        = $false )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2217]) ).

thf(2344,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( b48_buttercup10102 @ sK36_SY162 ) )
        = $true )
      | ( ( b48_buttercup10102 @ sK38_X67 )
        = $false )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2218]) ).

thf(2345,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                    | ~ ( k04_buttercup10100 @ sK35_X63 ) )
              | ~ ( k04_buttercup10100 @ sK36_SY162 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK38_X67 )
        = $true )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2219]) ).

thf(2346,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( b48_buttercup10102 @ sK36_SY162 ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK38_X67 )
        = $true )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2220]) ).

thf(2347,plain,
    ! [SV72: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                      | ~ ( k04_buttercup10100 @ sK35_X63 ) )
                | ~ ( k04_buttercup10100 @ sK36_SY162 ) ) )
        = $false )
      | ( ( b48_buttercup10102 @ sK38_X67 )
        = $false )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2221]) ).

thf(2348,plain,
    ! [SV72: $i] :
      ( ( ( ~ ~ ( b48_buttercup10102 @ sK36_SY162 ) )
        = $false )
      | ( ( b48_buttercup10102 @ sK38_X67 )
        = $false )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2221]) ).

thf(2349,plain,
    ! [SV74: $i,SV101: $i,SV117: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10109 @ sK101_X29 )
                | ~ ( k04_buttercup10619 @ sK101_X29 ) )
          | ~ ( k04_buttercup10619 @ sK102_SY207 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV117 )
        = $true )
      | ( ( b48_buttercup10109 @ SV117 )
        = $false )
      | ( ( b48_buttercup10109 @ SV101 )
        = $true )
      | ( ( k04_buttercup10619 @ SV101 )
        = $false )
      | ( ( k04_buttercup10619 @ SV74 )
        = $false )
      | ( ( b48_buttercup10109 @ SV74 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2223]) ).

thf(2350,plain,
    ! [SV74: $i,SV101: $i,SV117: $i] :
      ( ( ( b48_buttercup10109 @ sK102_SY207 )
        = $false )
      | ( ( k04_buttercup10619 @ SV117 )
        = $true )
      | ( ( b48_buttercup10109 @ SV117 )
        = $false )
      | ( ( b48_buttercup10109 @ SV101 )
        = $true )
      | ( ( k04_buttercup10619 @ SV101 )
        = $false )
      | ( ( k04_buttercup10619 @ SV74 )
        = $false )
      | ( ( b48_buttercup10109 @ SV74 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2224]) ).

thf(2351,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10109 @ sK97_X29 )
                | ~ ( k04_buttercup10619 @ sK97_X29 ) )
          | ~ ( k04_buttercup10619 @ sK98_SY204 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK100_X33 )
        = $true )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2225]) ).

thf(2352,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( b48_buttercup10109 @ sK98_SY204 )
        = $false )
      | ( ( k04_buttercup10619 @ sK100_X33 )
        = $true )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2226]) ).

thf(2353,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK97_X29 )
                    | ~ ( k04_buttercup10619 @ sK97_X29 ) )
              | ~ ( k04_buttercup10619 @ sK98_SY204 ) ) )
        = $true )
      | ( ( b48_buttercup10109 @ sK100_X33 )
        = $false )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2227]) ).

thf(2354,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( ~ ( b48_buttercup10109 @ sK98_SY204 ) )
        = $true )
      | ( ( b48_buttercup10109 @ sK100_X33 )
        = $false )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2228]) ).

thf(2355,plain,
    ! [SV76: $i,SV118: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10109 @ sK93_X29 )
                | ~ ( k04_buttercup10619 @ sK93_X29 ) )
          | ~ ( k04_buttercup10619 @ sK94_SY201 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV118 )
        = $true )
      | ( ( b48_buttercup10109 @ SV118 )
        = $false )
      | ( ( b48_buttercup10109 @ sK96_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2229]) ).

thf(2356,plain,
    ! [SV76: $i,SV118: $i] :
      ( ( ( b48_buttercup10109 @ sK94_SY201 )
        = $false )
      | ( ( k04_buttercup10619 @ SV118 )
        = $true )
      | ( ( b48_buttercup10109 @ SV118 )
        = $false )
      | ( ( b48_buttercup10109 @ sK96_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2230]) ).

thf(2357,plain,
    ! [SV76: $i,SV130: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK93_X29 )
                    | ~ ( k04_buttercup10619 @ sK93_X29 ) )
              | ~ ( k04_buttercup10619 @ sK94_SY201 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV130 )
        = $true )
      | ( ( b48_buttercup10109 @ SV130 )
        = $false )
      | ( ( k04_buttercup10619 @ sK96_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2231]) ).

thf(2358,plain,
    ! [SV76: $i,SV130: $i] :
      ( ( ( ~ ( b48_buttercup10109 @ sK94_SY201 ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV130 )
        = $true )
      | ( ( b48_buttercup10109 @ SV130 )
        = $false )
      | ( ( k04_buttercup10619 @ sK96_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2232]) ).

thf(2359,plain,
    ! [SV77: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                | ~ ( k04_buttercup10619 @ sK88_X29 ) )
          | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK91_X33 )
        = $true )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2233]) ).

thf(2360,plain,
    ! [SV77: $i] :
      ( ( ( b48_buttercup10109 @ sK89_SY198 )
        = $false )
      | ( ( k04_buttercup10619 @ sK91_X33 )
        = $true )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2234]) ).

thf(2361,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                    | ~ ( k04_buttercup10619 @ sK88_X29 ) )
              | ~ ( k04_buttercup10619 @ sK89_SY198 ) ) )
        = $true )
      | ( ( b48_buttercup10109 @ sK91_X33 )
        = $false )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2235]) ).

thf(2362,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( b48_buttercup10109 @ sK89_SY198 ) )
        = $true )
      | ( ( b48_buttercup10109 @ sK91_X33 )
        = $false )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2236]) ).

thf(2363,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                    | ~ ( k04_buttercup10619 @ sK88_X29 ) )
              | ~ ( k04_buttercup10619 @ sK89_SY198 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ sK91_X33 )
        = $true )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2237]) ).

thf(2364,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( b48_buttercup10109 @ sK89_SY198 ) )
        = $true )
      | ( ( k04_buttercup10619 @ sK91_X33 )
        = $true )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2238]) ).

thf(2365,plain,
    ! [SV77: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                      | ~ ( k04_buttercup10619 @ sK88_X29 ) )
                | ~ ( k04_buttercup10619 @ sK89_SY198 ) ) )
        = $false )
      | ( ( b48_buttercup10109 @ sK91_X33 )
        = $false )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2239]) ).

thf(2366,plain,
    ! [SV77: $i] :
      ( ( ( ~ ~ ( b48_buttercup10109 @ sK89_SY198 ) )
        = $false )
      | ( ( b48_buttercup10109 @ sK91_X33 )
        = $false )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2239]) ).

thf(2367,plain,
    ! [SV78: $i,SV103: $i,SV119: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10107 @ sK31_X74 )
                | ~ ( k04_buttercup10100 @ sK31_X74 ) )
          | ~ ( k04_buttercup10100 @ sK32_SY159 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV119 )
        = $true )
      | ( ( b48_buttercup10107 @ SV119 )
        = $false )
      | ( ( b48_buttercup10107 @ SV103 )
        = $true )
      | ( ( k04_buttercup10100 @ SV103 )
        = $false )
      | ( ( k04_buttercup10100 @ SV78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV78 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2241]) ).

thf(2368,plain,
    ! [SV78: $i,SV103: $i,SV119: $i] :
      ( ( ( b48_buttercup10107 @ sK32_SY159 )
        = $false )
      | ( ( k04_buttercup10100 @ SV119 )
        = $true )
      | ( ( b48_buttercup10107 @ SV119 )
        = $false )
      | ( ( b48_buttercup10107 @ SV103 )
        = $true )
      | ( ( k04_buttercup10100 @ SV103 )
        = $false )
      | ( ( k04_buttercup10100 @ SV78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV78 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2242]) ).

thf(2369,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10107 @ sK27_X74 )
                | ~ ( k04_buttercup10100 @ sK27_X74 ) )
          | ~ ( k04_buttercup10100 @ sK28_SY156 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK30_X78 )
        = $true )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2243]) ).

thf(2370,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( b48_buttercup10107 @ sK28_SY156 )
        = $false )
      | ( ( k04_buttercup10100 @ sK30_X78 )
        = $true )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2244]) ).

thf(2371,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK27_X74 )
                    | ~ ( k04_buttercup10100 @ sK27_X74 ) )
              | ~ ( k04_buttercup10100 @ sK28_SY156 ) ) )
        = $true )
      | ( ( b48_buttercup10107 @ sK30_X78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2245]) ).

thf(2372,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( ~ ( b48_buttercup10107 @ sK28_SY156 ) )
        = $true )
      | ( ( b48_buttercup10107 @ sK30_X78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2246]) ).

thf(2373,plain,
    ! [SV80: $i,SV120: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10107 @ sK23_X74 )
                | ~ ( k04_buttercup10100 @ sK23_X74 ) )
          | ~ ( k04_buttercup10100 @ sK24_SY153 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV120 )
        = $true )
      | ( ( b48_buttercup10107 @ SV120 )
        = $false )
      | ( ( b48_buttercup10107 @ sK26_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2247]) ).

thf(2374,plain,
    ! [SV80: $i,SV120: $i] :
      ( ( ( b48_buttercup10107 @ sK24_SY153 )
        = $false )
      | ( ( k04_buttercup10100 @ SV120 )
        = $true )
      | ( ( b48_buttercup10107 @ SV120 )
        = $false )
      | ( ( b48_buttercup10107 @ sK26_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2248]) ).

thf(2375,plain,
    ! [SV80: $i,SV131: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK23_X74 )
                    | ~ ( k04_buttercup10100 @ sK23_X74 ) )
              | ~ ( k04_buttercup10100 @ sK24_SY153 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV131 )
        = $true )
      | ( ( b48_buttercup10107 @ SV131 )
        = $false )
      | ( ( k04_buttercup10100 @ sK26_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2249]) ).

thf(2376,plain,
    ! [SV80: $i,SV131: $i] :
      ( ( ( ~ ( b48_buttercup10107 @ sK24_SY153 ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV131 )
        = $true )
      | ( ( b48_buttercup10107 @ SV131 )
        = $false )
      | ( ( k04_buttercup10100 @ sK26_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2250]) ).

thf(2377,plain,
    ! [SV81: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                | ~ ( k04_buttercup10100 @ sK18_X74 ) )
          | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK21_X78 )
        = $true )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2251]) ).

thf(2378,plain,
    ! [SV81: $i] :
      ( ( ( b48_buttercup10107 @ sK19_SY150 )
        = $false )
      | ( ( k04_buttercup10100 @ sK21_X78 )
        = $true )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2252]) ).

thf(2379,plain,
    ! [SV81: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                    | ~ ( k04_buttercup10100 @ sK18_X74 ) )
              | ~ ( k04_buttercup10100 @ sK19_SY150 ) ) )
        = $true )
      | ( ( b48_buttercup10107 @ sK21_X78 )
        = $false )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2253]) ).

thf(2380,plain,
    ! [SV81: $i] :
      ( ( ( ~ ( b48_buttercup10107 @ sK19_SY150 ) )
        = $true )
      | ( ( b48_buttercup10107 @ sK21_X78 )
        = $false )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2254]) ).

thf(2381,plain,
    ! [SV81: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                    | ~ ( k04_buttercup10100 @ sK18_X74 ) )
              | ~ ( k04_buttercup10100 @ sK19_SY150 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK21_X78 )
        = $true )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2255]) ).

thf(2382,plain,
    ! [SV81: $i] :
      ( ( ( ~ ( b48_buttercup10107 @ sK19_SY150 ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK21_X78 )
        = $true )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2256]) ).

thf(2383,plain,
    ! [SV81: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                      | ~ ( k04_buttercup10100 @ sK18_X74 ) )
                | ~ ( k04_buttercup10100 @ sK19_SY150 ) ) )
        = $false )
      | ( ( b48_buttercup10107 @ sK21_X78 )
        = $false )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2257]) ).

thf(2384,plain,
    ! [SV81: $i] :
      ( ( ( ~ ~ ( b48_buttercup10107 @ sK19_SY150 ) )
        = $false )
      | ( ( b48_buttercup10107 @ sK21_X78 )
        = $false )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2257]) ).

thf(2385,plain,
    ! [SV82: $i,SV105: $i,SV121: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10104 @ sK135_X9 )
                | ~ ( k04_buttercup10100 @ sK135_X9 ) )
          | ~ ( k04_buttercup10100 @ sK136_SY231 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV121 )
        = $true )
      | ( ( b48_buttercup10104 @ SV121 )
        = $false )
      | ( ( b48_buttercup10104 @ SV105 )
        = $true )
      | ( ( k04_buttercup10100 @ SV105 )
        = $false )
      | ( ( k04_buttercup10100 @ SV82 )
        = $false )
      | ( ( b48_buttercup10104 @ SV82 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2259]) ).

thf(2386,plain,
    ! [SV82: $i,SV105: $i,SV121: $i] :
      ( ( ( b48_buttercup10104 @ sK136_SY231 )
        = $false )
      | ( ( k04_buttercup10100 @ SV121 )
        = $true )
      | ( ( b48_buttercup10104 @ SV121 )
        = $false )
      | ( ( b48_buttercup10104 @ SV105 )
        = $true )
      | ( ( k04_buttercup10100 @ SV105 )
        = $false )
      | ( ( k04_buttercup10100 @ SV82 )
        = $false )
      | ( ( b48_buttercup10104 @ SV82 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2260]) ).

thf(2387,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10104 @ sK131_X9 )
                | ~ ( k04_buttercup10100 @ sK131_X9 ) )
          | ~ ( k04_buttercup10100 @ sK132_SY228 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK134_X13 )
        = $true )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2261]) ).

thf(2388,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( b48_buttercup10104 @ sK132_SY228 )
        = $false )
      | ( ( k04_buttercup10100 @ sK134_X13 )
        = $true )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2262]) ).

thf(2389,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK131_X9 )
                    | ~ ( k04_buttercup10100 @ sK131_X9 ) )
              | ~ ( k04_buttercup10100 @ sK132_SY228 ) ) )
        = $true )
      | ( ( b48_buttercup10104 @ sK134_X13 )
        = $false )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2263]) ).

thf(2390,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( ~ ( b48_buttercup10104 @ sK132_SY228 ) )
        = $true )
      | ( ( b48_buttercup10104 @ sK134_X13 )
        = $false )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2264]) ).

thf(2391,plain,
    ! [SV84: $i,SV122: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10104 @ sK127_X9 )
                | ~ ( k04_buttercup10100 @ sK127_X9 ) )
          | ~ ( k04_buttercup10100 @ sK128_SY225 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV122 )
        = $true )
      | ( ( b48_buttercup10104 @ SV122 )
        = $false )
      | ( ( b48_buttercup10104 @ sK130_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2265]) ).

thf(2392,plain,
    ! [SV84: $i,SV122: $i] :
      ( ( ( b48_buttercup10104 @ sK128_SY225 )
        = $false )
      | ( ( k04_buttercup10100 @ SV122 )
        = $true )
      | ( ( b48_buttercup10104 @ SV122 )
        = $false )
      | ( ( b48_buttercup10104 @ sK130_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2266]) ).

thf(2393,plain,
    ! [SV84: $i,SV132: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK127_X9 )
                    | ~ ( k04_buttercup10100 @ sK127_X9 ) )
              | ~ ( k04_buttercup10100 @ sK128_SY225 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV132 )
        = $true )
      | ( ( b48_buttercup10104 @ SV132 )
        = $false )
      | ( ( k04_buttercup10100 @ sK130_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2267]) ).

thf(2394,plain,
    ! [SV84: $i,SV132: $i] :
      ( ( ( ~ ( b48_buttercup10104 @ sK128_SY225 ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV132 )
        = $true )
      | ( ( b48_buttercup10104 @ SV132 )
        = $false )
      | ( ( k04_buttercup10100 @ sK130_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2268]) ).

thf(2395,plain,
    ! [SV85: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                | ~ ( k04_buttercup10100 @ sK122_X9 ) )
          | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK125_X13 )
        = $true )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2269]) ).

thf(2396,plain,
    ! [SV85: $i] :
      ( ( ( b48_buttercup10104 @ sK123_SY222 )
        = $false )
      | ( ( k04_buttercup10100 @ sK125_X13 )
        = $true )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2270]) ).

thf(2397,plain,
    ! [SV85: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                    | ~ ( k04_buttercup10100 @ sK122_X9 ) )
              | ~ ( k04_buttercup10100 @ sK123_SY222 ) ) )
        = $true )
      | ( ( b48_buttercup10104 @ sK125_X13 )
        = $false )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2271]) ).

thf(2398,plain,
    ! [SV85: $i] :
      ( ( ( ~ ( b48_buttercup10104 @ sK123_SY222 ) )
        = $true )
      | ( ( b48_buttercup10104 @ sK125_X13 )
        = $false )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2272]) ).

thf(2399,plain,
    ! [SV85: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                    | ~ ( k04_buttercup10100 @ sK122_X9 ) )
              | ~ ( k04_buttercup10100 @ sK123_SY222 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK125_X13 )
        = $true )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2273]) ).

thf(2400,plain,
    ! [SV85: $i] :
      ( ( ( ~ ( b48_buttercup10104 @ sK123_SY222 ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK125_X13 )
        = $true )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2274]) ).

thf(2401,plain,
    ! [SV85: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                      | ~ ( k04_buttercup10100 @ sK122_X9 ) )
                | ~ ( k04_buttercup10100 @ sK123_SY222 ) ) )
        = $false )
      | ( ( b48_buttercup10104 @ sK125_X13 )
        = $false )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2275]) ).

thf(2402,plain,
    ! [SV85: $i] :
      ( ( ( ~ ~ ( b48_buttercup10104 @ sK123_SY222 ) )
        = $false )
      | ( ( b48_buttercup10104 @ sK125_X13 )
        = $false )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2275]) ).

thf(2403,plain,
    ! [SV86: $i,SV107: $i,SV123: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10110 @ sK68_X47 )
                | ~ ( k04_buttercup10100 @ sK68_X47 ) )
          | ~ ( k04_buttercup10100 @ sK69_SY183 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV123 )
        = $true )
      | ( ( b48_buttercup10110 @ SV123 )
        = $false )
      | ( ( b48_buttercup10110 @ SV107 )
        = $true )
      | ( ( k04_buttercup10100 @ SV107 )
        = $false )
      | ( ( k04_buttercup10100 @ SV86 )
        = $false )
      | ( ( b48_buttercup10110 @ SV86 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2277]) ).

thf(2404,plain,
    ! [SV86: $i,SV107: $i,SV123: $i] :
      ( ( ( b48_buttercup10110 @ sK69_SY183 )
        = $false )
      | ( ( k04_buttercup10100 @ SV123 )
        = $true )
      | ( ( b48_buttercup10110 @ SV123 )
        = $false )
      | ( ( b48_buttercup10110 @ SV107 )
        = $true )
      | ( ( k04_buttercup10100 @ SV107 )
        = $false )
      | ( ( k04_buttercup10100 @ SV86 )
        = $false )
      | ( ( b48_buttercup10110 @ SV86 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2278]) ).

thf(2405,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10110 @ sK64_X47 )
                | ~ ( k04_buttercup10100 @ sK64_X47 ) )
          | ~ ( k04_buttercup10100 @ sK65_SY180 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK67_X51 )
        = $true )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2279]) ).

thf(2406,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( b48_buttercup10110 @ sK65_SY180 )
        = $false )
      | ( ( k04_buttercup10100 @ sK67_X51 )
        = $true )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2280]) ).

thf(2407,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK64_X47 )
                    | ~ ( k04_buttercup10100 @ sK64_X47 ) )
              | ~ ( k04_buttercup10100 @ sK65_SY180 ) ) )
        = $true )
      | ( ( b48_buttercup10110 @ sK67_X51 )
        = $false )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2281]) ).

thf(2408,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( ~ ( b48_buttercup10110 @ sK65_SY180 ) )
        = $true )
      | ( ( b48_buttercup10110 @ sK67_X51 )
        = $false )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2282]) ).

thf(2409,plain,
    ! [SV88: $i,SV124: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10110 @ sK60_X47 )
                | ~ ( k04_buttercup10100 @ sK60_X47 ) )
          | ~ ( k04_buttercup10100 @ sK61_SY177 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV124 )
        = $true )
      | ( ( b48_buttercup10110 @ SV124 )
        = $false )
      | ( ( b48_buttercup10110 @ sK63_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2283]) ).

thf(2410,plain,
    ! [SV88: $i,SV124: $i] :
      ( ( ( b48_buttercup10110 @ sK61_SY177 )
        = $false )
      | ( ( k04_buttercup10100 @ SV124 )
        = $true )
      | ( ( b48_buttercup10110 @ SV124 )
        = $false )
      | ( ( b48_buttercup10110 @ sK63_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2284]) ).

thf(2411,plain,
    ! [SV88: $i,SV133: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK60_X47 )
                    | ~ ( k04_buttercup10100 @ sK60_X47 ) )
              | ~ ( k04_buttercup10100 @ sK61_SY177 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV133 )
        = $true )
      | ( ( b48_buttercup10110 @ SV133 )
        = $false )
      | ( ( k04_buttercup10100 @ sK63_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2285]) ).

thf(2412,plain,
    ! [SV88: $i,SV133: $i] :
      ( ( ( ~ ( b48_buttercup10110 @ sK61_SY177 ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV133 )
        = $true )
      | ( ( b48_buttercup10110 @ SV133 )
        = $false )
      | ( ( k04_buttercup10100 @ sK63_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2286]) ).

thf(2413,plain,
    ! [SV89: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                | ~ ( k04_buttercup10100 @ sK55_X47 ) )
          | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK58_X51 )
        = $true )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2287]) ).

thf(2414,plain,
    ! [SV89: $i] :
      ( ( ( b48_buttercup10110 @ sK56_SY174 )
        = $false )
      | ( ( k04_buttercup10100 @ sK58_X51 )
        = $true )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2288]) ).

thf(2415,plain,
    ! [SV89: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                    | ~ ( k04_buttercup10100 @ sK55_X47 ) )
              | ~ ( k04_buttercup10100 @ sK56_SY174 ) ) )
        = $true )
      | ( ( b48_buttercup10110 @ sK58_X51 )
        = $false )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2289]) ).

thf(2416,plain,
    ! [SV89: $i] :
      ( ( ( ~ ( b48_buttercup10110 @ sK56_SY174 ) )
        = $true )
      | ( ( b48_buttercup10110 @ sK58_X51 )
        = $false )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2290]) ).

thf(2417,plain,
    ! [SV89: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                    | ~ ( k04_buttercup10100 @ sK55_X47 ) )
              | ~ ( k04_buttercup10100 @ sK56_SY174 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK58_X51 )
        = $true )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2291]) ).

thf(2418,plain,
    ! [SV89: $i] :
      ( ( ( ~ ( b48_buttercup10110 @ sK56_SY174 ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK58_X51 )
        = $true )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2292]) ).

thf(2419,plain,
    ! [SV89: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                      | ~ ( k04_buttercup10100 @ sK55_X47 ) )
                | ~ ( k04_buttercup10100 @ sK56_SY174 ) ) )
        = $false )
      | ( ( b48_buttercup10110 @ sK58_X51 )
        = $false )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2293]) ).

thf(2420,plain,
    ! [SV89: $i] :
      ( ( ( ~ ~ ( b48_buttercup10110 @ sK56_SY174 ) )
        = $false )
      | ( ( b48_buttercup10110 @ sK58_X51 )
        = $false )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2293]) ).

thf(2421,plain,
    ! [SV90: $i,SV109: $i,SV125: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10108 @ sK84_X39 )
                | ~ ( k04_buttercup10100 @ sK84_X39 ) )
          | ~ ( k04_buttercup10100 @ sK85_SY195 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV125 )
        = $true )
      | ( ( b48_buttercup10108 @ SV125 )
        = $false )
      | ( ( b48_buttercup10108 @ SV109 )
        = $true )
      | ( ( k04_buttercup10100 @ SV109 )
        = $false )
      | ( ( k04_buttercup10100 @ SV90 )
        = $false )
      | ( ( b48_buttercup10108 @ SV90 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2295]) ).

thf(2422,plain,
    ! [SV90: $i,SV109: $i,SV125: $i] :
      ( ( ( b48_buttercup10108 @ sK85_SY195 )
        = $false )
      | ( ( k04_buttercup10100 @ SV125 )
        = $true )
      | ( ( b48_buttercup10108 @ SV125 )
        = $false )
      | ( ( b48_buttercup10108 @ SV109 )
        = $true )
      | ( ( k04_buttercup10100 @ SV109 )
        = $false )
      | ( ( k04_buttercup10100 @ SV90 )
        = $false )
      | ( ( b48_buttercup10108 @ SV90 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2296]) ).

thf(2423,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10108 @ sK80_X39 )
                | ~ ( k04_buttercup10100 @ sK80_X39 ) )
          | ~ ( k04_buttercup10100 @ sK81_SY192 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK83_X43 )
        = $true )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2297]) ).

thf(2424,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( b48_buttercup10108 @ sK81_SY192 )
        = $false )
      | ( ( k04_buttercup10100 @ sK83_X43 )
        = $true )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2298]) ).

thf(2425,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK80_X39 )
                    | ~ ( k04_buttercup10100 @ sK80_X39 ) )
              | ~ ( k04_buttercup10100 @ sK81_SY192 ) ) )
        = $true )
      | ( ( b48_buttercup10108 @ sK83_X43 )
        = $false )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2299]) ).

thf(2426,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( ~ ( b48_buttercup10108 @ sK81_SY192 ) )
        = $true )
      | ( ( b48_buttercup10108 @ sK83_X43 )
        = $false )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2300]) ).

thf(2427,plain,
    ! [SV92: $i,SV126: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10108 @ sK76_X39 )
                | ~ ( k04_buttercup10100 @ sK76_X39 ) )
          | ~ ( k04_buttercup10100 @ sK77_SY189 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV126 )
        = $true )
      | ( ( b48_buttercup10108 @ SV126 )
        = $false )
      | ( ( b48_buttercup10108 @ sK79_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2301]) ).

thf(2428,plain,
    ! [SV92: $i,SV126: $i] :
      ( ( ( b48_buttercup10108 @ sK77_SY189 )
        = $false )
      | ( ( k04_buttercup10100 @ SV126 )
        = $true )
      | ( ( b48_buttercup10108 @ SV126 )
        = $false )
      | ( ( b48_buttercup10108 @ sK79_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2302]) ).

thf(2429,plain,
    ! [SV92: $i,SV134: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK76_X39 )
                    | ~ ( k04_buttercup10100 @ sK76_X39 ) )
              | ~ ( k04_buttercup10100 @ sK77_SY189 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV134 )
        = $true )
      | ( ( b48_buttercup10108 @ SV134 )
        = $false )
      | ( ( k04_buttercup10100 @ sK79_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2303]) ).

thf(2430,plain,
    ! [SV92: $i,SV134: $i] :
      ( ( ( ~ ( b48_buttercup10108 @ sK77_SY189 ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV134 )
        = $true )
      | ( ( b48_buttercup10108 @ SV134 )
        = $false )
      | ( ( k04_buttercup10100 @ sK79_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2304]) ).

thf(2431,plain,
    ! [SV93: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                | ~ ( k04_buttercup10100 @ sK71_X39 ) )
          | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK74_X43 )
        = $true )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2305]) ).

thf(2432,plain,
    ! [SV93: $i] :
      ( ( ( b48_buttercup10108 @ sK72_SY186 )
        = $false )
      | ( ( k04_buttercup10100 @ sK74_X43 )
        = $true )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2306]) ).

thf(2433,plain,
    ! [SV93: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                    | ~ ( k04_buttercup10100 @ sK71_X39 ) )
              | ~ ( k04_buttercup10100 @ sK72_SY186 ) ) )
        = $true )
      | ( ( b48_buttercup10108 @ sK74_X43 )
        = $false )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2307]) ).

thf(2434,plain,
    ! [SV93: $i] :
      ( ( ( ~ ( b48_buttercup10108 @ sK72_SY186 ) )
        = $true )
      | ( ( b48_buttercup10108 @ sK74_X43 )
        = $false )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2308]) ).

thf(2435,plain,
    ! [SV93: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                    | ~ ( k04_buttercup10100 @ sK71_X39 ) )
              | ~ ( k04_buttercup10100 @ sK72_SY186 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK74_X43 )
        = $true )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2309]) ).

thf(2436,plain,
    ! [SV93: $i] :
      ( ( ( ~ ( b48_buttercup10108 @ sK72_SY186 ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK74_X43 )
        = $true )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2310]) ).

thf(2437,plain,
    ! [SV93: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                      | ~ ( k04_buttercup10100 @ sK71_X39 ) )
                | ~ ( k04_buttercup10100 @ sK72_SY186 ) ) )
        = $false )
      | ( ( b48_buttercup10108 @ sK74_X43 )
        = $false )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2311]) ).

thf(2438,plain,
    ! [SV93: $i] :
      ( ( ( ~ ~ ( b48_buttercup10108 @ sK72_SY186 ) )
        = $false )
      | ( ( b48_buttercup10108 @ sK74_X43 )
        = $false )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2311]) ).

thf(2439,plain,
    ! [SV94: $i,SV111: $i,SV127: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10111 @ sK118_X19 )
                | ~ ( k04_buttercup10619 @ sK118_X19 ) )
          | ~ ( k04_buttercup10619 @ sK119_SY219 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV127 )
        = $true )
      | ( ( b48_buttercup10111 @ SV127 )
        = $false )
      | ( ( b48_buttercup10111 @ SV111 )
        = $true )
      | ( ( k04_buttercup10619 @ SV111 )
        = $false )
      | ( ( k04_buttercup10619 @ SV94 )
        = $false )
      | ( ( b48_buttercup10111 @ SV94 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2313]) ).

thf(2440,plain,
    ! [SV94: $i,SV111: $i,SV127: $i] :
      ( ( ( b48_buttercup10111 @ sK119_SY219 )
        = $false )
      | ( ( k04_buttercup10619 @ SV127 )
        = $true )
      | ( ( b48_buttercup10111 @ SV127 )
        = $false )
      | ( ( b48_buttercup10111 @ SV111 )
        = $true )
      | ( ( k04_buttercup10619 @ SV111 )
        = $false )
      | ( ( k04_buttercup10619 @ SV94 )
        = $false )
      | ( ( b48_buttercup10111 @ SV94 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2314]) ).

thf(2441,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10111 @ sK114_X19 )
                | ~ ( k04_buttercup10619 @ sK114_X19 ) )
          | ~ ( k04_buttercup10619 @ sK115_SY216 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK117_X23 )
        = $true )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2315]) ).

thf(2442,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( b48_buttercup10111 @ sK115_SY216 )
        = $false )
      | ( ( k04_buttercup10619 @ sK117_X23 )
        = $true )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2316]) ).

thf(2443,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK114_X19 )
                    | ~ ( k04_buttercup10619 @ sK114_X19 ) )
              | ~ ( k04_buttercup10619 @ sK115_SY216 ) ) )
        = $true )
      | ( ( b48_buttercup10111 @ sK117_X23 )
        = $false )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2317]) ).

thf(2444,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( ~ ( b48_buttercup10111 @ sK115_SY216 ) )
        = $true )
      | ( ( b48_buttercup10111 @ sK117_X23 )
        = $false )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2318]) ).

thf(2445,plain,
    ! [SV96: $i,SV128: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10111 @ sK110_X19 )
                | ~ ( k04_buttercup10619 @ sK110_X19 ) )
          | ~ ( k04_buttercup10619 @ sK111_SY213 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV128 )
        = $true )
      | ( ( b48_buttercup10111 @ SV128 )
        = $false )
      | ( ( b48_buttercup10111 @ sK113_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2319]) ).

thf(2446,plain,
    ! [SV96: $i,SV128: $i] :
      ( ( ( b48_buttercup10111 @ sK111_SY213 )
        = $false )
      | ( ( k04_buttercup10619 @ SV128 )
        = $true )
      | ( ( b48_buttercup10111 @ SV128 )
        = $false )
      | ( ( b48_buttercup10111 @ sK113_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2320]) ).

thf(2447,plain,
    ! [SV96: $i,SV135: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK110_X19 )
                    | ~ ( k04_buttercup10619 @ sK110_X19 ) )
              | ~ ( k04_buttercup10619 @ sK111_SY213 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV135 )
        = $true )
      | ( ( b48_buttercup10111 @ SV135 )
        = $false )
      | ( ( k04_buttercup10619 @ sK113_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2321]) ).

thf(2448,plain,
    ! [SV96: $i,SV135: $i] :
      ( ( ( ~ ( b48_buttercup10111 @ sK111_SY213 ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV135 )
        = $true )
      | ( ( b48_buttercup10111 @ SV135 )
        = $false )
      | ( ( k04_buttercup10619 @ sK113_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2322]) ).

thf(2449,plain,
    ! [SV97: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                | ~ ( k04_buttercup10619 @ sK105_X19 ) )
          | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK108_X23 )
        = $true )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2323]) ).

thf(2450,plain,
    ! [SV97: $i] :
      ( ( ( b48_buttercup10111 @ sK106_SY210 )
        = $false )
      | ( ( k04_buttercup10619 @ sK108_X23 )
        = $true )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2324]) ).

thf(2451,plain,
    ! [SV97: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                    | ~ ( k04_buttercup10619 @ sK105_X19 ) )
              | ~ ( k04_buttercup10619 @ sK106_SY210 ) ) )
        = $true )
      | ( ( b48_buttercup10111 @ sK108_X23 )
        = $false )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2325]) ).

thf(2452,plain,
    ! [SV97: $i] :
      ( ( ( ~ ( b48_buttercup10111 @ sK106_SY210 ) )
        = $true )
      | ( ( b48_buttercup10111 @ sK108_X23 )
        = $false )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2326]) ).

thf(2453,plain,
    ! [SV97: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                    | ~ ( k04_buttercup10619 @ sK105_X19 ) )
              | ~ ( k04_buttercup10619 @ sK106_SY210 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ sK108_X23 )
        = $true )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2327]) ).

thf(2454,plain,
    ! [SV97: $i] :
      ( ( ( ~ ( b48_buttercup10111 @ sK106_SY210 ) )
        = $true )
      | ( ( k04_buttercup10619 @ sK108_X23 )
        = $true )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2328]) ).

thf(2455,plain,
    ! [SV97: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                      | ~ ( k04_buttercup10619 @ sK105_X19 ) )
                | ~ ( k04_buttercup10619 @ sK106_SY210 ) ) )
        = $false )
      | ( ( b48_buttercup10111 @ sK108_X23 )
        = $false )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2329]) ).

thf(2456,plain,
    ! [SV97: $i] :
      ( ( ( ~ ~ ( b48_buttercup10111 @ sK106_SY210 ) )
        = $false )
      | ( ( b48_buttercup10111 @ sK108_X23 )
        = $false )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2329]) ).

thf(2457,plain,
    ! [SV69: $i,SV99: $i,SV115: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10102 @ sK48_X63 )
                | ~ ( k04_buttercup10100 @ sK48_X63 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV115 )
        = $true )
      | ( ( b48_buttercup10102 @ SV115 )
        = $false )
      | ( ( b48_buttercup10102 @ SV99 )
        = $true )
      | ( ( k04_buttercup10100 @ SV99 )
        = $false )
      | ( ( k04_buttercup10100 @ SV69 )
        = $false )
      | ( ( b48_buttercup10102 @ SV69 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2331]) ).

thf(2458,plain,
    ! [SV69: $i,SV99: $i,SV115: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK49_SY171 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV115 )
        = $true )
      | ( ( b48_buttercup10102 @ SV115 )
        = $false )
      | ( ( b48_buttercup10102 @ SV99 )
        = $true )
      | ( ( k04_buttercup10100 @ SV99 )
        = $false )
      | ( ( k04_buttercup10100 @ SV69 )
        = $false )
      | ( ( b48_buttercup10102 @ SV69 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2331]) ).

thf(2459,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10102 @ sK44_X63 )
                | ~ ( k04_buttercup10100 @ sK44_X63 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK47_X67 )
        = $true )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2333]) ).

thf(2460,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK45_SY168 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK47_X67 )
        = $true )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2333]) ).

thf(2461,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10102 @ sK44_X63 )
                | ~ ( k04_buttercup10100 @ sK44_X63 ) )
          | ~ ( k04_buttercup10100 @ sK45_SY168 ) )
        = $false )
      | ( ( b48_buttercup10102 @ sK47_X67 )
        = $false )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2335]) ).

thf(2462,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( b48_buttercup10102 @ sK45_SY168 )
        = $false )
      | ( ( b48_buttercup10102 @ sK47_X67 )
        = $false )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2336]) ).

thf(2463,plain,
    ! [SV71: $i,SV116: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10102 @ sK40_X63 )
                | ~ ( k04_buttercup10100 @ sK40_X63 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV116 )
        = $true )
      | ( ( b48_buttercup10102 @ SV116 )
        = $false )
      | ( ( b48_buttercup10102 @ sK43_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2337]) ).

thf(2464,plain,
    ! [SV71: $i,SV116: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK41_SY165 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV116 )
        = $true )
      | ( ( b48_buttercup10102 @ SV116 )
        = $false )
      | ( ( b48_buttercup10102 @ sK43_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2337]) ).

thf(2465,plain,
    ! [SV71: $i,SV129: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10102 @ sK40_X63 )
                | ~ ( k04_buttercup10100 @ sK40_X63 ) )
          | ~ ( k04_buttercup10100 @ sK41_SY165 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV129 )
        = $true )
      | ( ( b48_buttercup10102 @ SV129 )
        = $false )
      | ( ( k04_buttercup10100 @ sK43_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2339]) ).

thf(2466,plain,
    ! [SV71: $i,SV129: $i] :
      ( ( ( b48_buttercup10102 @ sK41_SY165 )
        = $false )
      | ( ( k04_buttercup10100 @ SV129 )
        = $true )
      | ( ( b48_buttercup10102 @ SV129 )
        = $false )
      | ( ( k04_buttercup10100 @ sK43_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2340]) ).

thf(2467,plain,
    ! [SV72: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                | ~ ( k04_buttercup10100 @ sK35_X63 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK38_X67 )
        = $true )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2341]) ).

thf(2468,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK36_SY162 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK38_X67 )
        = $true )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2341]) ).

thf(2469,plain,
    ! [SV72: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                | ~ ( k04_buttercup10100 @ sK35_X63 ) )
          | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
        = $false )
      | ( ( b48_buttercup10102 @ sK38_X67 )
        = $false )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2343]) ).

thf(2470,plain,
    ! [SV72: $i] :
      ( ( ( b48_buttercup10102 @ sK36_SY162 )
        = $false )
      | ( ( b48_buttercup10102 @ sK38_X67 )
        = $false )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2344]) ).

thf(2471,plain,
    ! [SV72: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                | ~ ( k04_buttercup10100 @ sK35_X63 ) )
          | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK38_X67 )
        = $true )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2345]) ).

thf(2472,plain,
    ! [SV72: $i] :
      ( ( ( b48_buttercup10102 @ sK36_SY162 )
        = $false )
      | ( ( k04_buttercup10100 @ sK38_X67 )
        = $true )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2346]) ).

thf(2473,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                    | ~ ( k04_buttercup10100 @ sK35_X63 ) )
              | ~ ( k04_buttercup10100 @ sK36_SY162 ) ) )
        = $true )
      | ( ( b48_buttercup10102 @ sK38_X67 )
        = $false )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2347]) ).

thf(2474,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( b48_buttercup10102 @ sK36_SY162 ) )
        = $true )
      | ( ( b48_buttercup10102 @ sK38_X67 )
        = $false )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2348]) ).

thf(2475,plain,
    ! [SV74: $i,SV101: $i,SV117: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10109 @ sK101_X29 )
                | ~ ( k04_buttercup10619 @ sK101_X29 ) ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV117 )
        = $true )
      | ( ( b48_buttercup10109 @ SV117 )
        = $false )
      | ( ( b48_buttercup10109 @ SV101 )
        = $true )
      | ( ( k04_buttercup10619 @ SV101 )
        = $false )
      | ( ( k04_buttercup10619 @ SV74 )
        = $false )
      | ( ( b48_buttercup10109 @ SV74 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2349]) ).

thf(2476,plain,
    ! [SV74: $i,SV101: $i,SV117: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK102_SY207 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV117 )
        = $true )
      | ( ( b48_buttercup10109 @ SV117 )
        = $false )
      | ( ( b48_buttercup10109 @ SV101 )
        = $true )
      | ( ( k04_buttercup10619 @ SV101 )
        = $false )
      | ( ( k04_buttercup10619 @ SV74 )
        = $false )
      | ( ( b48_buttercup10109 @ SV74 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2349]) ).

thf(2477,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10109 @ sK97_X29 )
                | ~ ( k04_buttercup10619 @ sK97_X29 ) ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK100_X33 )
        = $true )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2351]) ).

thf(2478,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK98_SY204 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK100_X33 )
        = $true )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2351]) ).

thf(2479,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10109 @ sK97_X29 )
                | ~ ( k04_buttercup10619 @ sK97_X29 ) )
          | ~ ( k04_buttercup10619 @ sK98_SY204 ) )
        = $false )
      | ( ( b48_buttercup10109 @ sK100_X33 )
        = $false )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2353]) ).

thf(2480,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( b48_buttercup10109 @ sK98_SY204 )
        = $false )
      | ( ( b48_buttercup10109 @ sK100_X33 )
        = $false )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2354]) ).

thf(2481,plain,
    ! [SV76: $i,SV118: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10109 @ sK93_X29 )
                | ~ ( k04_buttercup10619 @ sK93_X29 ) ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV118 )
        = $true )
      | ( ( b48_buttercup10109 @ SV118 )
        = $false )
      | ( ( b48_buttercup10109 @ sK96_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2355]) ).

thf(2482,plain,
    ! [SV76: $i,SV118: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK94_SY201 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV118 )
        = $true )
      | ( ( b48_buttercup10109 @ SV118 )
        = $false )
      | ( ( b48_buttercup10109 @ sK96_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2355]) ).

thf(2483,plain,
    ! [SV76: $i,SV130: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10109 @ sK93_X29 )
                | ~ ( k04_buttercup10619 @ sK93_X29 ) )
          | ~ ( k04_buttercup10619 @ sK94_SY201 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV130 )
        = $true )
      | ( ( b48_buttercup10109 @ SV130 )
        = $false )
      | ( ( k04_buttercup10619 @ sK96_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2357]) ).

thf(2484,plain,
    ! [SV76: $i,SV130: $i] :
      ( ( ( b48_buttercup10109 @ sK94_SY201 )
        = $false )
      | ( ( k04_buttercup10619 @ SV130 )
        = $true )
      | ( ( b48_buttercup10109 @ SV130 )
        = $false )
      | ( ( k04_buttercup10619 @ sK96_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2358]) ).

thf(2485,plain,
    ! [SV77: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                | ~ ( k04_buttercup10619 @ sK88_X29 ) ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK91_X33 )
        = $true )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2359]) ).

thf(2486,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK89_SY198 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK91_X33 )
        = $true )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2359]) ).

thf(2487,plain,
    ! [SV77: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                | ~ ( k04_buttercup10619 @ sK88_X29 ) )
          | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
        = $false )
      | ( ( b48_buttercup10109 @ sK91_X33 )
        = $false )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2361]) ).

thf(2488,plain,
    ! [SV77: $i] :
      ( ( ( b48_buttercup10109 @ sK89_SY198 )
        = $false )
      | ( ( b48_buttercup10109 @ sK91_X33 )
        = $false )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2362]) ).

thf(2489,plain,
    ! [SV77: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                | ~ ( k04_buttercup10619 @ sK88_X29 ) )
          | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK91_X33 )
        = $true )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2363]) ).

thf(2490,plain,
    ! [SV77: $i] :
      ( ( ( b48_buttercup10109 @ sK89_SY198 )
        = $false )
      | ( ( k04_buttercup10619 @ sK91_X33 )
        = $true )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2364]) ).

thf(2491,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                    | ~ ( k04_buttercup10619 @ sK88_X29 ) )
              | ~ ( k04_buttercup10619 @ sK89_SY198 ) ) )
        = $true )
      | ( ( b48_buttercup10109 @ sK91_X33 )
        = $false )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2365]) ).

thf(2492,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( b48_buttercup10109 @ sK89_SY198 ) )
        = $true )
      | ( ( b48_buttercup10109 @ sK91_X33 )
        = $false )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2366]) ).

thf(2493,plain,
    ! [SV78: $i,SV103: $i,SV119: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10107 @ sK31_X74 )
                | ~ ( k04_buttercup10100 @ sK31_X74 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV119 )
        = $true )
      | ( ( b48_buttercup10107 @ SV119 )
        = $false )
      | ( ( b48_buttercup10107 @ SV103 )
        = $true )
      | ( ( k04_buttercup10100 @ SV103 )
        = $false )
      | ( ( k04_buttercup10100 @ SV78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV78 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2367]) ).

thf(2494,plain,
    ! [SV78: $i,SV103: $i,SV119: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK32_SY159 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV119 )
        = $true )
      | ( ( b48_buttercup10107 @ SV119 )
        = $false )
      | ( ( b48_buttercup10107 @ SV103 )
        = $true )
      | ( ( k04_buttercup10100 @ SV103 )
        = $false )
      | ( ( k04_buttercup10100 @ SV78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV78 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2367]) ).

thf(2495,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10107 @ sK27_X74 )
                | ~ ( k04_buttercup10100 @ sK27_X74 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK30_X78 )
        = $true )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2369]) ).

thf(2496,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK28_SY156 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK30_X78 )
        = $true )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2369]) ).

thf(2497,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10107 @ sK27_X74 )
                | ~ ( k04_buttercup10100 @ sK27_X74 ) )
          | ~ ( k04_buttercup10100 @ sK28_SY156 ) )
        = $false )
      | ( ( b48_buttercup10107 @ sK30_X78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2371]) ).

thf(2498,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( b48_buttercup10107 @ sK28_SY156 )
        = $false )
      | ( ( b48_buttercup10107 @ sK30_X78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2372]) ).

thf(2499,plain,
    ! [SV80: $i,SV120: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10107 @ sK23_X74 )
                | ~ ( k04_buttercup10100 @ sK23_X74 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV120 )
        = $true )
      | ( ( b48_buttercup10107 @ SV120 )
        = $false )
      | ( ( b48_buttercup10107 @ sK26_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2373]) ).

thf(2500,plain,
    ! [SV80: $i,SV120: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK24_SY153 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV120 )
        = $true )
      | ( ( b48_buttercup10107 @ SV120 )
        = $false )
      | ( ( b48_buttercup10107 @ sK26_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2373]) ).

thf(2501,plain,
    ! [SV80: $i,SV131: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10107 @ sK23_X74 )
                | ~ ( k04_buttercup10100 @ sK23_X74 ) )
          | ~ ( k04_buttercup10100 @ sK24_SY153 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV131 )
        = $true )
      | ( ( b48_buttercup10107 @ SV131 )
        = $false )
      | ( ( k04_buttercup10100 @ sK26_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2375]) ).

thf(2502,plain,
    ! [SV80: $i,SV131: $i] :
      ( ( ( b48_buttercup10107 @ sK24_SY153 )
        = $false )
      | ( ( k04_buttercup10100 @ SV131 )
        = $true )
      | ( ( b48_buttercup10107 @ SV131 )
        = $false )
      | ( ( k04_buttercup10100 @ sK26_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2376]) ).

thf(2503,plain,
    ! [SV81: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                | ~ ( k04_buttercup10100 @ sK18_X74 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK21_X78 )
        = $true )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2377]) ).

thf(2504,plain,
    ! [SV81: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK19_SY150 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK21_X78 )
        = $true )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2377]) ).

thf(2505,plain,
    ! [SV81: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                | ~ ( k04_buttercup10100 @ sK18_X74 ) )
          | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
        = $false )
      | ( ( b48_buttercup10107 @ sK21_X78 )
        = $false )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2379]) ).

thf(2506,plain,
    ! [SV81: $i] :
      ( ( ( b48_buttercup10107 @ sK19_SY150 )
        = $false )
      | ( ( b48_buttercup10107 @ sK21_X78 )
        = $false )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2380]) ).

thf(2507,plain,
    ! [SV81: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                | ~ ( k04_buttercup10100 @ sK18_X74 ) )
          | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK21_X78 )
        = $true )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2381]) ).

thf(2508,plain,
    ! [SV81: $i] :
      ( ( ( b48_buttercup10107 @ sK19_SY150 )
        = $false )
      | ( ( k04_buttercup10100 @ sK21_X78 )
        = $true )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2382]) ).

thf(2509,plain,
    ! [SV81: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                    | ~ ( k04_buttercup10100 @ sK18_X74 ) )
              | ~ ( k04_buttercup10100 @ sK19_SY150 ) ) )
        = $true )
      | ( ( b48_buttercup10107 @ sK21_X78 )
        = $false )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2383]) ).

thf(2510,plain,
    ! [SV81: $i] :
      ( ( ( ~ ( b48_buttercup10107 @ sK19_SY150 ) )
        = $true )
      | ( ( b48_buttercup10107 @ sK21_X78 )
        = $false )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2384]) ).

thf(2511,plain,
    ! [SV82: $i,SV105: $i,SV121: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10104 @ sK135_X9 )
                | ~ ( k04_buttercup10100 @ sK135_X9 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV121 )
        = $true )
      | ( ( b48_buttercup10104 @ SV121 )
        = $false )
      | ( ( b48_buttercup10104 @ SV105 )
        = $true )
      | ( ( k04_buttercup10100 @ SV105 )
        = $false )
      | ( ( k04_buttercup10100 @ SV82 )
        = $false )
      | ( ( b48_buttercup10104 @ SV82 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2385]) ).

thf(2512,plain,
    ! [SV82: $i,SV105: $i,SV121: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK136_SY231 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV121 )
        = $true )
      | ( ( b48_buttercup10104 @ SV121 )
        = $false )
      | ( ( b48_buttercup10104 @ SV105 )
        = $true )
      | ( ( k04_buttercup10100 @ SV105 )
        = $false )
      | ( ( k04_buttercup10100 @ SV82 )
        = $false )
      | ( ( b48_buttercup10104 @ SV82 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2385]) ).

thf(2513,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10104 @ sK131_X9 )
                | ~ ( k04_buttercup10100 @ sK131_X9 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK134_X13 )
        = $true )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2387]) ).

thf(2514,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK132_SY228 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK134_X13 )
        = $true )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2387]) ).

thf(2515,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10104 @ sK131_X9 )
                | ~ ( k04_buttercup10100 @ sK131_X9 ) )
          | ~ ( k04_buttercup10100 @ sK132_SY228 ) )
        = $false )
      | ( ( b48_buttercup10104 @ sK134_X13 )
        = $false )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2389]) ).

thf(2516,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( b48_buttercup10104 @ sK132_SY228 )
        = $false )
      | ( ( b48_buttercup10104 @ sK134_X13 )
        = $false )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2390]) ).

thf(2517,plain,
    ! [SV84: $i,SV122: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10104 @ sK127_X9 )
                | ~ ( k04_buttercup10100 @ sK127_X9 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV122 )
        = $true )
      | ( ( b48_buttercup10104 @ SV122 )
        = $false )
      | ( ( b48_buttercup10104 @ sK130_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2391]) ).

thf(2518,plain,
    ! [SV84: $i,SV122: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK128_SY225 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV122 )
        = $true )
      | ( ( b48_buttercup10104 @ SV122 )
        = $false )
      | ( ( b48_buttercup10104 @ sK130_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2391]) ).

thf(2519,plain,
    ! [SV84: $i,SV132: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10104 @ sK127_X9 )
                | ~ ( k04_buttercup10100 @ sK127_X9 ) )
          | ~ ( k04_buttercup10100 @ sK128_SY225 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV132 )
        = $true )
      | ( ( b48_buttercup10104 @ SV132 )
        = $false )
      | ( ( k04_buttercup10100 @ sK130_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2393]) ).

thf(2520,plain,
    ! [SV84: $i,SV132: $i] :
      ( ( ( b48_buttercup10104 @ sK128_SY225 )
        = $false )
      | ( ( k04_buttercup10100 @ SV132 )
        = $true )
      | ( ( b48_buttercup10104 @ SV132 )
        = $false )
      | ( ( k04_buttercup10100 @ sK130_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2394]) ).

thf(2521,plain,
    ! [SV85: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                | ~ ( k04_buttercup10100 @ sK122_X9 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK125_X13 )
        = $true )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2395]) ).

thf(2522,plain,
    ! [SV85: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK123_SY222 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK125_X13 )
        = $true )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2395]) ).

thf(2523,plain,
    ! [SV85: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                | ~ ( k04_buttercup10100 @ sK122_X9 ) )
          | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
        = $false )
      | ( ( b48_buttercup10104 @ sK125_X13 )
        = $false )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2397]) ).

thf(2524,plain,
    ! [SV85: $i] :
      ( ( ( b48_buttercup10104 @ sK123_SY222 )
        = $false )
      | ( ( b48_buttercup10104 @ sK125_X13 )
        = $false )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2398]) ).

thf(2525,plain,
    ! [SV85: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                | ~ ( k04_buttercup10100 @ sK122_X9 ) )
          | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK125_X13 )
        = $true )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2399]) ).

thf(2526,plain,
    ! [SV85: $i] :
      ( ( ( b48_buttercup10104 @ sK123_SY222 )
        = $false )
      | ( ( k04_buttercup10100 @ sK125_X13 )
        = $true )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2400]) ).

thf(2527,plain,
    ! [SV85: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                    | ~ ( k04_buttercup10100 @ sK122_X9 ) )
              | ~ ( k04_buttercup10100 @ sK123_SY222 ) ) )
        = $true )
      | ( ( b48_buttercup10104 @ sK125_X13 )
        = $false )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2401]) ).

thf(2528,plain,
    ! [SV85: $i] :
      ( ( ( ~ ( b48_buttercup10104 @ sK123_SY222 ) )
        = $true )
      | ( ( b48_buttercup10104 @ sK125_X13 )
        = $false )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2402]) ).

thf(2529,plain,
    ! [SV86: $i,SV107: $i,SV123: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10110 @ sK68_X47 )
                | ~ ( k04_buttercup10100 @ sK68_X47 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV123 )
        = $true )
      | ( ( b48_buttercup10110 @ SV123 )
        = $false )
      | ( ( b48_buttercup10110 @ SV107 )
        = $true )
      | ( ( k04_buttercup10100 @ SV107 )
        = $false )
      | ( ( k04_buttercup10100 @ SV86 )
        = $false )
      | ( ( b48_buttercup10110 @ SV86 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2403]) ).

thf(2530,plain,
    ! [SV86: $i,SV107: $i,SV123: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK69_SY183 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV123 )
        = $true )
      | ( ( b48_buttercup10110 @ SV123 )
        = $false )
      | ( ( b48_buttercup10110 @ SV107 )
        = $true )
      | ( ( k04_buttercup10100 @ SV107 )
        = $false )
      | ( ( k04_buttercup10100 @ SV86 )
        = $false )
      | ( ( b48_buttercup10110 @ SV86 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2403]) ).

thf(2531,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10110 @ sK64_X47 )
                | ~ ( k04_buttercup10100 @ sK64_X47 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK67_X51 )
        = $true )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2405]) ).

thf(2532,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK65_SY180 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK67_X51 )
        = $true )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2405]) ).

thf(2533,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10110 @ sK64_X47 )
                | ~ ( k04_buttercup10100 @ sK64_X47 ) )
          | ~ ( k04_buttercup10100 @ sK65_SY180 ) )
        = $false )
      | ( ( b48_buttercup10110 @ sK67_X51 )
        = $false )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2407]) ).

thf(2534,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( b48_buttercup10110 @ sK65_SY180 )
        = $false )
      | ( ( b48_buttercup10110 @ sK67_X51 )
        = $false )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2408]) ).

thf(2535,plain,
    ! [SV88: $i,SV124: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10110 @ sK60_X47 )
                | ~ ( k04_buttercup10100 @ sK60_X47 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV124 )
        = $true )
      | ( ( b48_buttercup10110 @ SV124 )
        = $false )
      | ( ( b48_buttercup10110 @ sK63_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2409]) ).

thf(2536,plain,
    ! [SV88: $i,SV124: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK61_SY177 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV124 )
        = $true )
      | ( ( b48_buttercup10110 @ SV124 )
        = $false )
      | ( ( b48_buttercup10110 @ sK63_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2409]) ).

thf(2537,plain,
    ! [SV88: $i,SV133: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10110 @ sK60_X47 )
                | ~ ( k04_buttercup10100 @ sK60_X47 ) )
          | ~ ( k04_buttercup10100 @ sK61_SY177 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV133 )
        = $true )
      | ( ( b48_buttercup10110 @ SV133 )
        = $false )
      | ( ( k04_buttercup10100 @ sK63_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2411]) ).

thf(2538,plain,
    ! [SV88: $i,SV133: $i] :
      ( ( ( b48_buttercup10110 @ sK61_SY177 )
        = $false )
      | ( ( k04_buttercup10100 @ SV133 )
        = $true )
      | ( ( b48_buttercup10110 @ SV133 )
        = $false )
      | ( ( k04_buttercup10100 @ sK63_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2412]) ).

thf(2539,plain,
    ! [SV89: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                | ~ ( k04_buttercup10100 @ sK55_X47 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK58_X51 )
        = $true )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2413]) ).

thf(2540,plain,
    ! [SV89: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK56_SY174 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK58_X51 )
        = $true )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2413]) ).

thf(2541,plain,
    ! [SV89: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                | ~ ( k04_buttercup10100 @ sK55_X47 ) )
          | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
        = $false )
      | ( ( b48_buttercup10110 @ sK58_X51 )
        = $false )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2415]) ).

thf(2542,plain,
    ! [SV89: $i] :
      ( ( ( b48_buttercup10110 @ sK56_SY174 )
        = $false )
      | ( ( b48_buttercup10110 @ sK58_X51 )
        = $false )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2416]) ).

thf(2543,plain,
    ! [SV89: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                | ~ ( k04_buttercup10100 @ sK55_X47 ) )
          | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK58_X51 )
        = $true )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2417]) ).

thf(2544,plain,
    ! [SV89: $i] :
      ( ( ( b48_buttercup10110 @ sK56_SY174 )
        = $false )
      | ( ( k04_buttercup10100 @ sK58_X51 )
        = $true )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2418]) ).

thf(2545,plain,
    ! [SV89: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                    | ~ ( k04_buttercup10100 @ sK55_X47 ) )
              | ~ ( k04_buttercup10100 @ sK56_SY174 ) ) )
        = $true )
      | ( ( b48_buttercup10110 @ sK58_X51 )
        = $false )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2419]) ).

thf(2546,plain,
    ! [SV89: $i] :
      ( ( ( ~ ( b48_buttercup10110 @ sK56_SY174 ) )
        = $true )
      | ( ( b48_buttercup10110 @ sK58_X51 )
        = $false )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2420]) ).

thf(2547,plain,
    ! [SV90: $i,SV109: $i,SV125: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10108 @ sK84_X39 )
                | ~ ( k04_buttercup10100 @ sK84_X39 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV125 )
        = $true )
      | ( ( b48_buttercup10108 @ SV125 )
        = $false )
      | ( ( b48_buttercup10108 @ SV109 )
        = $true )
      | ( ( k04_buttercup10100 @ SV109 )
        = $false )
      | ( ( k04_buttercup10100 @ SV90 )
        = $false )
      | ( ( b48_buttercup10108 @ SV90 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2421]) ).

thf(2548,plain,
    ! [SV90: $i,SV109: $i,SV125: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK85_SY195 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV125 )
        = $true )
      | ( ( b48_buttercup10108 @ SV125 )
        = $false )
      | ( ( b48_buttercup10108 @ SV109 )
        = $true )
      | ( ( k04_buttercup10100 @ SV109 )
        = $false )
      | ( ( k04_buttercup10100 @ SV90 )
        = $false )
      | ( ( b48_buttercup10108 @ SV90 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2421]) ).

thf(2549,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10108 @ sK80_X39 )
                | ~ ( k04_buttercup10100 @ sK80_X39 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK83_X43 )
        = $true )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2423]) ).

thf(2550,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK81_SY192 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK83_X43 )
        = $true )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2423]) ).

thf(2551,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10108 @ sK80_X39 )
                | ~ ( k04_buttercup10100 @ sK80_X39 ) )
          | ~ ( k04_buttercup10100 @ sK81_SY192 ) )
        = $false )
      | ( ( b48_buttercup10108 @ sK83_X43 )
        = $false )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2425]) ).

thf(2552,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( b48_buttercup10108 @ sK81_SY192 )
        = $false )
      | ( ( b48_buttercup10108 @ sK83_X43 )
        = $false )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2426]) ).

thf(2553,plain,
    ! [SV92: $i,SV126: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10108 @ sK76_X39 )
                | ~ ( k04_buttercup10100 @ sK76_X39 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV126 )
        = $true )
      | ( ( b48_buttercup10108 @ SV126 )
        = $false )
      | ( ( b48_buttercup10108 @ sK79_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2427]) ).

thf(2554,plain,
    ! [SV92: $i,SV126: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK77_SY189 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV126 )
        = $true )
      | ( ( b48_buttercup10108 @ SV126 )
        = $false )
      | ( ( b48_buttercup10108 @ sK79_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2427]) ).

thf(2555,plain,
    ! [SV92: $i,SV134: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10108 @ sK76_X39 )
                | ~ ( k04_buttercup10100 @ sK76_X39 ) )
          | ~ ( k04_buttercup10100 @ sK77_SY189 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV134 )
        = $true )
      | ( ( b48_buttercup10108 @ SV134 )
        = $false )
      | ( ( k04_buttercup10100 @ sK79_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2429]) ).

thf(2556,plain,
    ! [SV92: $i,SV134: $i] :
      ( ( ( b48_buttercup10108 @ sK77_SY189 )
        = $false )
      | ( ( k04_buttercup10100 @ SV134 )
        = $true )
      | ( ( b48_buttercup10108 @ SV134 )
        = $false )
      | ( ( k04_buttercup10100 @ sK79_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2430]) ).

thf(2557,plain,
    ! [SV93: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                | ~ ( k04_buttercup10100 @ sK71_X39 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK74_X43 )
        = $true )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2431]) ).

thf(2558,plain,
    ! [SV93: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK72_SY186 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK74_X43 )
        = $true )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2431]) ).

thf(2559,plain,
    ! [SV93: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                | ~ ( k04_buttercup10100 @ sK71_X39 ) )
          | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
        = $false )
      | ( ( b48_buttercup10108 @ sK74_X43 )
        = $false )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2433]) ).

thf(2560,plain,
    ! [SV93: $i] :
      ( ( ( b48_buttercup10108 @ sK72_SY186 )
        = $false )
      | ( ( b48_buttercup10108 @ sK74_X43 )
        = $false )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2434]) ).

thf(2561,plain,
    ! [SV93: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                | ~ ( k04_buttercup10100 @ sK71_X39 ) )
          | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK74_X43 )
        = $true )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2435]) ).

thf(2562,plain,
    ! [SV93: $i] :
      ( ( ( b48_buttercup10108 @ sK72_SY186 )
        = $false )
      | ( ( k04_buttercup10100 @ sK74_X43 )
        = $true )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2436]) ).

thf(2563,plain,
    ! [SV93: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                    | ~ ( k04_buttercup10100 @ sK71_X39 ) )
              | ~ ( k04_buttercup10100 @ sK72_SY186 ) ) )
        = $true )
      | ( ( b48_buttercup10108 @ sK74_X43 )
        = $false )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2437]) ).

thf(2564,plain,
    ! [SV93: $i] :
      ( ( ( ~ ( b48_buttercup10108 @ sK72_SY186 ) )
        = $true )
      | ( ( b48_buttercup10108 @ sK74_X43 )
        = $false )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2438]) ).

thf(2565,plain,
    ! [SV94: $i,SV111: $i,SV127: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10111 @ sK118_X19 )
                | ~ ( k04_buttercup10619 @ sK118_X19 ) ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV127 )
        = $true )
      | ( ( b48_buttercup10111 @ SV127 )
        = $false )
      | ( ( b48_buttercup10111 @ SV111 )
        = $true )
      | ( ( k04_buttercup10619 @ SV111 )
        = $false )
      | ( ( k04_buttercup10619 @ SV94 )
        = $false )
      | ( ( b48_buttercup10111 @ SV94 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2439]) ).

thf(2566,plain,
    ! [SV94: $i,SV111: $i,SV127: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK119_SY219 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV127 )
        = $true )
      | ( ( b48_buttercup10111 @ SV127 )
        = $false )
      | ( ( b48_buttercup10111 @ SV111 )
        = $true )
      | ( ( k04_buttercup10619 @ SV111 )
        = $false )
      | ( ( k04_buttercup10619 @ SV94 )
        = $false )
      | ( ( b48_buttercup10111 @ SV94 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2439]) ).

thf(2567,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10111 @ sK114_X19 )
                | ~ ( k04_buttercup10619 @ sK114_X19 ) ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK117_X23 )
        = $true )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2441]) ).

thf(2568,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK115_SY216 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK117_X23 )
        = $true )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2441]) ).

thf(2569,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10111 @ sK114_X19 )
                | ~ ( k04_buttercup10619 @ sK114_X19 ) )
          | ~ ( k04_buttercup10619 @ sK115_SY216 ) )
        = $false )
      | ( ( b48_buttercup10111 @ sK117_X23 )
        = $false )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2443]) ).

thf(2570,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( b48_buttercup10111 @ sK115_SY216 )
        = $false )
      | ( ( b48_buttercup10111 @ sK117_X23 )
        = $false )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2444]) ).

thf(2571,plain,
    ! [SV96: $i,SV128: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10111 @ sK110_X19 )
                | ~ ( k04_buttercup10619 @ sK110_X19 ) ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV128 )
        = $true )
      | ( ( b48_buttercup10111 @ SV128 )
        = $false )
      | ( ( b48_buttercup10111 @ sK113_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2445]) ).

thf(2572,plain,
    ! [SV96: $i,SV128: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK111_SY213 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV128 )
        = $true )
      | ( ( b48_buttercup10111 @ SV128 )
        = $false )
      | ( ( b48_buttercup10111 @ sK113_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2445]) ).

thf(2573,plain,
    ! [SV96: $i,SV135: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10111 @ sK110_X19 )
                | ~ ( k04_buttercup10619 @ sK110_X19 ) )
          | ~ ( k04_buttercup10619 @ sK111_SY213 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV135 )
        = $true )
      | ( ( b48_buttercup10111 @ SV135 )
        = $false )
      | ( ( k04_buttercup10619 @ sK113_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2447]) ).

thf(2574,plain,
    ! [SV96: $i,SV135: $i] :
      ( ( ( b48_buttercup10111 @ sK111_SY213 )
        = $false )
      | ( ( k04_buttercup10619 @ SV135 )
        = $true )
      | ( ( b48_buttercup10111 @ SV135 )
        = $false )
      | ( ( k04_buttercup10619 @ sK113_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2448]) ).

thf(2575,plain,
    ! [SV97: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                | ~ ( k04_buttercup10619 @ sK105_X19 ) ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK108_X23 )
        = $true )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2449]) ).

thf(2576,plain,
    ! [SV97: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK106_SY210 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK108_X23 )
        = $true )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2449]) ).

thf(2577,plain,
    ! [SV97: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                | ~ ( k04_buttercup10619 @ sK105_X19 ) )
          | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
        = $false )
      | ( ( b48_buttercup10111 @ sK108_X23 )
        = $false )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2451]) ).

thf(2578,plain,
    ! [SV97: $i] :
      ( ( ( b48_buttercup10111 @ sK106_SY210 )
        = $false )
      | ( ( b48_buttercup10111 @ sK108_X23 )
        = $false )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2452]) ).

thf(2579,plain,
    ! [SV97: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                | ~ ( k04_buttercup10619 @ sK105_X19 ) )
          | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK108_X23 )
        = $true )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2453]) ).

thf(2580,plain,
    ! [SV97: $i] :
      ( ( ( b48_buttercup10111 @ sK106_SY210 )
        = $false )
      | ( ( k04_buttercup10619 @ sK108_X23 )
        = $true )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2454]) ).

thf(2581,plain,
    ! [SV97: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                    | ~ ( k04_buttercup10619 @ sK105_X19 ) )
              | ~ ( k04_buttercup10619 @ sK106_SY210 ) ) )
        = $true )
      | ( ( b48_buttercup10111 @ sK108_X23 )
        = $false )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2455]) ).

thf(2582,plain,
    ! [SV97: $i] :
      ( ( ( ~ ( b48_buttercup10111 @ sK106_SY210 ) )
        = $true )
      | ( ( b48_buttercup10111 @ sK108_X23 )
        = $false )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2456]) ).

thf(2583,plain,
    ! [SV69: $i,SV99: $i,SV115: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10102 @ sK48_X63 )
              | ~ ( k04_buttercup10100 @ sK48_X63 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV115 )
        = $true )
      | ( ( b48_buttercup10102 @ SV115 )
        = $false )
      | ( ( b48_buttercup10102 @ SV99 )
        = $true )
      | ( ( k04_buttercup10100 @ SV99 )
        = $false )
      | ( ( k04_buttercup10100 @ SV69 )
        = $false )
      | ( ( b48_buttercup10102 @ SV69 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2457]) ).

thf(2584,plain,
    ! [SV69: $i,SV99: $i,SV115: $i] :
      ( ( ( k04_buttercup10100 @ sK49_SY171 )
        = $true )
      | ( ( k04_buttercup10100 @ SV115 )
        = $true )
      | ( ( b48_buttercup10102 @ SV115 )
        = $false )
      | ( ( b48_buttercup10102 @ SV99 )
        = $true )
      | ( ( k04_buttercup10100 @ SV99 )
        = $false )
      | ( ( k04_buttercup10100 @ SV69 )
        = $false )
      | ( ( b48_buttercup10102 @ SV69 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2458]) ).

thf(2585,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10102 @ sK44_X63 )
              | ~ ( k04_buttercup10100 @ sK44_X63 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK47_X67 )
        = $true )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2459]) ).

thf(2586,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( k04_buttercup10100 @ sK45_SY168 )
        = $true )
      | ( ( k04_buttercup10100 @ sK47_X67 )
        = $true )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2460]) ).

thf(2587,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10102 @ sK44_X63 )
                | ~ ( k04_buttercup10100 @ sK44_X63 ) ) )
        = $false )
      | ( ( b48_buttercup10102 @ sK47_X67 )
        = $false )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2461]) ).

thf(2588,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK45_SY168 ) )
        = $false )
      | ( ( b48_buttercup10102 @ sK47_X67 )
        = $false )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2461]) ).

thf(2589,plain,
    ! [SV71: $i,SV116: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10102 @ sK40_X63 )
              | ~ ( k04_buttercup10100 @ sK40_X63 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV116 )
        = $true )
      | ( ( b48_buttercup10102 @ SV116 )
        = $false )
      | ( ( b48_buttercup10102 @ sK43_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2463]) ).

thf(2590,plain,
    ! [SV71: $i,SV116: $i] :
      ( ( ( k04_buttercup10100 @ sK41_SY165 )
        = $true )
      | ( ( k04_buttercup10100 @ SV116 )
        = $true )
      | ( ( b48_buttercup10102 @ SV116 )
        = $false )
      | ( ( b48_buttercup10102 @ sK43_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2464]) ).

thf(2591,plain,
    ! [SV71: $i,SV129: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10102 @ sK40_X63 )
                | ~ ( k04_buttercup10100 @ sK40_X63 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV129 )
        = $true )
      | ( ( b48_buttercup10102 @ SV129 )
        = $false )
      | ( ( k04_buttercup10100 @ sK43_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2465]) ).

thf(2592,plain,
    ! [SV71: $i,SV129: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK41_SY165 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV129 )
        = $true )
      | ( ( b48_buttercup10102 @ SV129 )
        = $false )
      | ( ( k04_buttercup10100 @ sK43_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2465]) ).

thf(2593,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
              | ~ ( k04_buttercup10100 @ sK35_X63 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK38_X67 )
        = $true )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2467]) ).

thf(2594,plain,
    ! [SV72: $i] :
      ( ( ( k04_buttercup10100 @ sK36_SY162 )
        = $true )
      | ( ( k04_buttercup10100 @ sK38_X67 )
        = $true )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2468]) ).

thf(2595,plain,
    ! [SV72: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                | ~ ( k04_buttercup10100 @ sK35_X63 ) ) )
        = $false )
      | ( ( b48_buttercup10102 @ sK38_X67 )
        = $false )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2469]) ).

thf(2596,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK36_SY162 ) )
        = $false )
      | ( ( b48_buttercup10102 @ sK38_X67 )
        = $false )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2469]) ).

thf(2597,plain,
    ! [SV72: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                | ~ ( k04_buttercup10100 @ sK35_X63 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK38_X67 )
        = $true )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2471]) ).

thf(2598,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK36_SY162 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK38_X67 )
        = $true )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2471]) ).

thf(2599,plain,
    ! [SV72: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                | ~ ( k04_buttercup10100 @ sK35_X63 ) )
          | ~ ( k04_buttercup10100 @ sK36_SY162 ) )
        = $false )
      | ( ( b48_buttercup10102 @ sK38_X67 )
        = $false )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2473]) ).

thf(2600,plain,
    ! [SV72: $i] :
      ( ( ( b48_buttercup10102 @ sK36_SY162 )
        = $false )
      | ( ( b48_buttercup10102 @ sK38_X67 )
        = $false )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2474]) ).

thf(2601,plain,
    ! [SV74: $i,SV101: $i,SV117: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10109 @ sK101_X29 )
              | ~ ( k04_buttercup10619 @ sK101_X29 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV117 )
        = $true )
      | ( ( b48_buttercup10109 @ SV117 )
        = $false )
      | ( ( b48_buttercup10109 @ SV101 )
        = $true )
      | ( ( k04_buttercup10619 @ SV101 )
        = $false )
      | ( ( k04_buttercup10619 @ SV74 )
        = $false )
      | ( ( b48_buttercup10109 @ SV74 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2475]) ).

thf(2602,plain,
    ! [SV74: $i,SV101: $i,SV117: $i] :
      ( ( ( k04_buttercup10619 @ sK102_SY207 )
        = $true )
      | ( ( k04_buttercup10619 @ SV117 )
        = $true )
      | ( ( b48_buttercup10109 @ SV117 )
        = $false )
      | ( ( b48_buttercup10109 @ SV101 )
        = $true )
      | ( ( k04_buttercup10619 @ SV101 )
        = $false )
      | ( ( k04_buttercup10619 @ SV74 )
        = $false )
      | ( ( b48_buttercup10109 @ SV74 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2476]) ).

thf(2603,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10109 @ sK97_X29 )
              | ~ ( k04_buttercup10619 @ sK97_X29 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ sK100_X33 )
        = $true )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2477]) ).

thf(2604,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( k04_buttercup10619 @ sK98_SY204 )
        = $true )
      | ( ( k04_buttercup10619 @ sK100_X33 )
        = $true )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2478]) ).

thf(2605,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10109 @ sK97_X29 )
                | ~ ( k04_buttercup10619 @ sK97_X29 ) ) )
        = $false )
      | ( ( b48_buttercup10109 @ sK100_X33 )
        = $false )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2479]) ).

thf(2606,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK98_SY204 ) )
        = $false )
      | ( ( b48_buttercup10109 @ sK100_X33 )
        = $false )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2479]) ).

thf(2607,plain,
    ! [SV76: $i,SV118: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10109 @ sK93_X29 )
              | ~ ( k04_buttercup10619 @ sK93_X29 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV118 )
        = $true )
      | ( ( b48_buttercup10109 @ SV118 )
        = $false )
      | ( ( b48_buttercup10109 @ sK96_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2481]) ).

thf(2608,plain,
    ! [SV76: $i,SV118: $i] :
      ( ( ( k04_buttercup10619 @ sK94_SY201 )
        = $true )
      | ( ( k04_buttercup10619 @ SV118 )
        = $true )
      | ( ( b48_buttercup10109 @ SV118 )
        = $false )
      | ( ( b48_buttercup10109 @ sK96_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2482]) ).

thf(2609,plain,
    ! [SV76: $i,SV130: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10109 @ sK93_X29 )
                | ~ ( k04_buttercup10619 @ sK93_X29 ) ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV130 )
        = $true )
      | ( ( b48_buttercup10109 @ SV130 )
        = $false )
      | ( ( k04_buttercup10619 @ sK96_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2483]) ).

thf(2610,plain,
    ! [SV76: $i,SV130: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK94_SY201 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV130 )
        = $true )
      | ( ( b48_buttercup10109 @ SV130 )
        = $false )
      | ( ( k04_buttercup10619 @ sK96_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2483]) ).

thf(2611,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
              | ~ ( k04_buttercup10619 @ sK88_X29 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ sK91_X33 )
        = $true )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2485]) ).

thf(2612,plain,
    ! [SV77: $i] :
      ( ( ( k04_buttercup10619 @ sK89_SY198 )
        = $true )
      | ( ( k04_buttercup10619 @ sK91_X33 )
        = $true )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2486]) ).

thf(2613,plain,
    ! [SV77: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                | ~ ( k04_buttercup10619 @ sK88_X29 ) ) )
        = $false )
      | ( ( b48_buttercup10109 @ sK91_X33 )
        = $false )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2487]) ).

thf(2614,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK89_SY198 ) )
        = $false )
      | ( ( b48_buttercup10109 @ sK91_X33 )
        = $false )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2487]) ).

thf(2615,plain,
    ! [SV77: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                | ~ ( k04_buttercup10619 @ sK88_X29 ) ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK91_X33 )
        = $true )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2489]) ).

thf(2616,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK89_SY198 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK91_X33 )
        = $true )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2489]) ).

thf(2617,plain,
    ! [SV77: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                | ~ ( k04_buttercup10619 @ sK88_X29 ) )
          | ~ ( k04_buttercup10619 @ sK89_SY198 ) )
        = $false )
      | ( ( b48_buttercup10109 @ sK91_X33 )
        = $false )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2491]) ).

thf(2618,plain,
    ! [SV77: $i] :
      ( ( ( b48_buttercup10109 @ sK89_SY198 )
        = $false )
      | ( ( b48_buttercup10109 @ sK91_X33 )
        = $false )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2492]) ).

thf(2619,plain,
    ! [SV78: $i,SV103: $i,SV119: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10107 @ sK31_X74 )
              | ~ ( k04_buttercup10100 @ sK31_X74 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV119 )
        = $true )
      | ( ( b48_buttercup10107 @ SV119 )
        = $false )
      | ( ( b48_buttercup10107 @ SV103 )
        = $true )
      | ( ( k04_buttercup10100 @ SV103 )
        = $false )
      | ( ( k04_buttercup10100 @ SV78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV78 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2493]) ).

thf(2620,plain,
    ! [SV78: $i,SV103: $i,SV119: $i] :
      ( ( ( k04_buttercup10100 @ sK32_SY159 )
        = $true )
      | ( ( k04_buttercup10100 @ SV119 )
        = $true )
      | ( ( b48_buttercup10107 @ SV119 )
        = $false )
      | ( ( b48_buttercup10107 @ SV103 )
        = $true )
      | ( ( k04_buttercup10100 @ SV103 )
        = $false )
      | ( ( k04_buttercup10100 @ SV78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV78 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2494]) ).

thf(2621,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10107 @ sK27_X74 )
              | ~ ( k04_buttercup10100 @ sK27_X74 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK30_X78 )
        = $true )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2495]) ).

thf(2622,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( k04_buttercup10100 @ sK28_SY156 )
        = $true )
      | ( ( k04_buttercup10100 @ sK30_X78 )
        = $true )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2496]) ).

thf(2623,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10107 @ sK27_X74 )
                | ~ ( k04_buttercup10100 @ sK27_X74 ) ) )
        = $false )
      | ( ( b48_buttercup10107 @ sK30_X78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2497]) ).

thf(2624,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK28_SY156 ) )
        = $false )
      | ( ( b48_buttercup10107 @ sK30_X78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2497]) ).

thf(2625,plain,
    ! [SV80: $i,SV120: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10107 @ sK23_X74 )
              | ~ ( k04_buttercup10100 @ sK23_X74 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV120 )
        = $true )
      | ( ( b48_buttercup10107 @ SV120 )
        = $false )
      | ( ( b48_buttercup10107 @ sK26_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2499]) ).

thf(2626,plain,
    ! [SV80: $i,SV120: $i] :
      ( ( ( k04_buttercup10100 @ sK24_SY153 )
        = $true )
      | ( ( k04_buttercup10100 @ SV120 )
        = $true )
      | ( ( b48_buttercup10107 @ SV120 )
        = $false )
      | ( ( b48_buttercup10107 @ sK26_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2500]) ).

thf(2627,plain,
    ! [SV80: $i,SV131: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10107 @ sK23_X74 )
                | ~ ( k04_buttercup10100 @ sK23_X74 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV131 )
        = $true )
      | ( ( b48_buttercup10107 @ SV131 )
        = $false )
      | ( ( k04_buttercup10100 @ sK26_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2501]) ).

thf(2628,plain,
    ! [SV80: $i,SV131: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK24_SY153 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV131 )
        = $true )
      | ( ( b48_buttercup10107 @ SV131 )
        = $false )
      | ( ( k04_buttercup10100 @ sK26_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2501]) ).

thf(2629,plain,
    ! [SV81: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
              | ~ ( k04_buttercup10100 @ sK18_X74 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK21_X78 )
        = $true )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2503]) ).

thf(2630,plain,
    ! [SV81: $i] :
      ( ( ( k04_buttercup10100 @ sK19_SY150 )
        = $true )
      | ( ( k04_buttercup10100 @ sK21_X78 )
        = $true )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2504]) ).

thf(2631,plain,
    ! [SV81: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                | ~ ( k04_buttercup10100 @ sK18_X74 ) ) )
        = $false )
      | ( ( b48_buttercup10107 @ sK21_X78 )
        = $false )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2505]) ).

thf(2632,plain,
    ! [SV81: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK19_SY150 ) )
        = $false )
      | ( ( b48_buttercup10107 @ sK21_X78 )
        = $false )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2505]) ).

thf(2633,plain,
    ! [SV81: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                | ~ ( k04_buttercup10100 @ sK18_X74 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK21_X78 )
        = $true )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2507]) ).

thf(2634,plain,
    ! [SV81: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK19_SY150 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK21_X78 )
        = $true )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2507]) ).

thf(2635,plain,
    ! [SV81: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                | ~ ( k04_buttercup10100 @ sK18_X74 ) )
          | ~ ( k04_buttercup10100 @ sK19_SY150 ) )
        = $false )
      | ( ( b48_buttercup10107 @ sK21_X78 )
        = $false )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2509]) ).

thf(2636,plain,
    ! [SV81: $i] :
      ( ( ( b48_buttercup10107 @ sK19_SY150 )
        = $false )
      | ( ( b48_buttercup10107 @ sK21_X78 )
        = $false )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2510]) ).

thf(2637,plain,
    ! [SV82: $i,SV105: $i,SV121: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10104 @ sK135_X9 )
              | ~ ( k04_buttercup10100 @ sK135_X9 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV121 )
        = $true )
      | ( ( b48_buttercup10104 @ SV121 )
        = $false )
      | ( ( b48_buttercup10104 @ SV105 )
        = $true )
      | ( ( k04_buttercup10100 @ SV105 )
        = $false )
      | ( ( k04_buttercup10100 @ SV82 )
        = $false )
      | ( ( b48_buttercup10104 @ SV82 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2511]) ).

thf(2638,plain,
    ! [SV82: $i,SV105: $i,SV121: $i] :
      ( ( ( k04_buttercup10100 @ sK136_SY231 )
        = $true )
      | ( ( k04_buttercup10100 @ SV121 )
        = $true )
      | ( ( b48_buttercup10104 @ SV121 )
        = $false )
      | ( ( b48_buttercup10104 @ SV105 )
        = $true )
      | ( ( k04_buttercup10100 @ SV105 )
        = $false )
      | ( ( k04_buttercup10100 @ SV82 )
        = $false )
      | ( ( b48_buttercup10104 @ SV82 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2512]) ).

thf(2639,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10104 @ sK131_X9 )
              | ~ ( k04_buttercup10100 @ sK131_X9 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK134_X13 )
        = $true )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2513]) ).

thf(2640,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( k04_buttercup10100 @ sK132_SY228 )
        = $true )
      | ( ( k04_buttercup10100 @ sK134_X13 )
        = $true )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2514]) ).

thf(2641,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10104 @ sK131_X9 )
                | ~ ( k04_buttercup10100 @ sK131_X9 ) ) )
        = $false )
      | ( ( b48_buttercup10104 @ sK134_X13 )
        = $false )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2515]) ).

thf(2642,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK132_SY228 ) )
        = $false )
      | ( ( b48_buttercup10104 @ sK134_X13 )
        = $false )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2515]) ).

thf(2643,plain,
    ! [SV84: $i,SV122: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10104 @ sK127_X9 )
              | ~ ( k04_buttercup10100 @ sK127_X9 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV122 )
        = $true )
      | ( ( b48_buttercup10104 @ SV122 )
        = $false )
      | ( ( b48_buttercup10104 @ sK130_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2517]) ).

thf(2644,plain,
    ! [SV84: $i,SV122: $i] :
      ( ( ( k04_buttercup10100 @ sK128_SY225 )
        = $true )
      | ( ( k04_buttercup10100 @ SV122 )
        = $true )
      | ( ( b48_buttercup10104 @ SV122 )
        = $false )
      | ( ( b48_buttercup10104 @ sK130_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2518]) ).

thf(2645,plain,
    ! [SV84: $i,SV132: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10104 @ sK127_X9 )
                | ~ ( k04_buttercup10100 @ sK127_X9 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV132 )
        = $true )
      | ( ( b48_buttercup10104 @ SV132 )
        = $false )
      | ( ( k04_buttercup10100 @ sK130_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2519]) ).

thf(2646,plain,
    ! [SV84: $i,SV132: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK128_SY225 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV132 )
        = $true )
      | ( ( b48_buttercup10104 @ SV132 )
        = $false )
      | ( ( k04_buttercup10100 @ sK130_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2519]) ).

thf(2647,plain,
    ! [SV85: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
              | ~ ( k04_buttercup10100 @ sK122_X9 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK125_X13 )
        = $true )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2521]) ).

thf(2648,plain,
    ! [SV85: $i] :
      ( ( ( k04_buttercup10100 @ sK123_SY222 )
        = $true )
      | ( ( k04_buttercup10100 @ sK125_X13 )
        = $true )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2522]) ).

thf(2649,plain,
    ! [SV85: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                | ~ ( k04_buttercup10100 @ sK122_X9 ) ) )
        = $false )
      | ( ( b48_buttercup10104 @ sK125_X13 )
        = $false )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2523]) ).

thf(2650,plain,
    ! [SV85: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK123_SY222 ) )
        = $false )
      | ( ( b48_buttercup10104 @ sK125_X13 )
        = $false )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2523]) ).

thf(2651,plain,
    ! [SV85: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                | ~ ( k04_buttercup10100 @ sK122_X9 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK125_X13 )
        = $true )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2525]) ).

thf(2652,plain,
    ! [SV85: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK123_SY222 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK125_X13 )
        = $true )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2525]) ).

thf(2653,plain,
    ! [SV85: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                | ~ ( k04_buttercup10100 @ sK122_X9 ) )
          | ~ ( k04_buttercup10100 @ sK123_SY222 ) )
        = $false )
      | ( ( b48_buttercup10104 @ sK125_X13 )
        = $false )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2527]) ).

thf(2654,plain,
    ! [SV85: $i] :
      ( ( ( b48_buttercup10104 @ sK123_SY222 )
        = $false )
      | ( ( b48_buttercup10104 @ sK125_X13 )
        = $false )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2528]) ).

thf(2655,plain,
    ! [SV86: $i,SV107: $i,SV123: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10110 @ sK68_X47 )
              | ~ ( k04_buttercup10100 @ sK68_X47 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV123 )
        = $true )
      | ( ( b48_buttercup10110 @ SV123 )
        = $false )
      | ( ( b48_buttercup10110 @ SV107 )
        = $true )
      | ( ( k04_buttercup10100 @ SV107 )
        = $false )
      | ( ( k04_buttercup10100 @ SV86 )
        = $false )
      | ( ( b48_buttercup10110 @ SV86 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2529]) ).

thf(2656,plain,
    ! [SV86: $i,SV107: $i,SV123: $i] :
      ( ( ( k04_buttercup10100 @ sK69_SY183 )
        = $true )
      | ( ( k04_buttercup10100 @ SV123 )
        = $true )
      | ( ( b48_buttercup10110 @ SV123 )
        = $false )
      | ( ( b48_buttercup10110 @ SV107 )
        = $true )
      | ( ( k04_buttercup10100 @ SV107 )
        = $false )
      | ( ( k04_buttercup10100 @ SV86 )
        = $false )
      | ( ( b48_buttercup10110 @ SV86 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2530]) ).

thf(2657,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10110 @ sK64_X47 )
              | ~ ( k04_buttercup10100 @ sK64_X47 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK67_X51 )
        = $true )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2531]) ).

thf(2658,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( k04_buttercup10100 @ sK65_SY180 )
        = $true )
      | ( ( k04_buttercup10100 @ sK67_X51 )
        = $true )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2532]) ).

thf(2659,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10110 @ sK64_X47 )
                | ~ ( k04_buttercup10100 @ sK64_X47 ) ) )
        = $false )
      | ( ( b48_buttercup10110 @ sK67_X51 )
        = $false )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2533]) ).

thf(2660,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK65_SY180 ) )
        = $false )
      | ( ( b48_buttercup10110 @ sK67_X51 )
        = $false )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2533]) ).

thf(2661,plain,
    ! [SV88: $i,SV124: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10110 @ sK60_X47 )
              | ~ ( k04_buttercup10100 @ sK60_X47 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV124 )
        = $true )
      | ( ( b48_buttercup10110 @ SV124 )
        = $false )
      | ( ( b48_buttercup10110 @ sK63_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2535]) ).

thf(2662,plain,
    ! [SV88: $i,SV124: $i] :
      ( ( ( k04_buttercup10100 @ sK61_SY177 )
        = $true )
      | ( ( k04_buttercup10100 @ SV124 )
        = $true )
      | ( ( b48_buttercup10110 @ SV124 )
        = $false )
      | ( ( b48_buttercup10110 @ sK63_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2536]) ).

thf(2663,plain,
    ! [SV88: $i,SV133: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10110 @ sK60_X47 )
                | ~ ( k04_buttercup10100 @ sK60_X47 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV133 )
        = $true )
      | ( ( b48_buttercup10110 @ SV133 )
        = $false )
      | ( ( k04_buttercup10100 @ sK63_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2537]) ).

thf(2664,plain,
    ! [SV88: $i,SV133: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK61_SY177 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV133 )
        = $true )
      | ( ( b48_buttercup10110 @ SV133 )
        = $false )
      | ( ( k04_buttercup10100 @ sK63_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2537]) ).

thf(2665,plain,
    ! [SV89: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
              | ~ ( k04_buttercup10100 @ sK55_X47 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK58_X51 )
        = $true )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2539]) ).

thf(2666,plain,
    ! [SV89: $i] :
      ( ( ( k04_buttercup10100 @ sK56_SY174 )
        = $true )
      | ( ( k04_buttercup10100 @ sK58_X51 )
        = $true )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2540]) ).

thf(2667,plain,
    ! [SV89: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                | ~ ( k04_buttercup10100 @ sK55_X47 ) ) )
        = $false )
      | ( ( b48_buttercup10110 @ sK58_X51 )
        = $false )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2541]) ).

thf(2668,plain,
    ! [SV89: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK56_SY174 ) )
        = $false )
      | ( ( b48_buttercup10110 @ sK58_X51 )
        = $false )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2541]) ).

thf(2669,plain,
    ! [SV89: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                | ~ ( k04_buttercup10100 @ sK55_X47 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK58_X51 )
        = $true )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2543]) ).

thf(2670,plain,
    ! [SV89: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK56_SY174 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK58_X51 )
        = $true )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2543]) ).

thf(2671,plain,
    ! [SV89: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                | ~ ( k04_buttercup10100 @ sK55_X47 ) )
          | ~ ( k04_buttercup10100 @ sK56_SY174 ) )
        = $false )
      | ( ( b48_buttercup10110 @ sK58_X51 )
        = $false )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2545]) ).

thf(2672,plain,
    ! [SV89: $i] :
      ( ( ( b48_buttercup10110 @ sK56_SY174 )
        = $false )
      | ( ( b48_buttercup10110 @ sK58_X51 )
        = $false )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2546]) ).

thf(2673,plain,
    ! [SV90: $i,SV109: $i,SV125: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10108 @ sK84_X39 )
              | ~ ( k04_buttercup10100 @ sK84_X39 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV125 )
        = $true )
      | ( ( b48_buttercup10108 @ SV125 )
        = $false )
      | ( ( b48_buttercup10108 @ SV109 )
        = $true )
      | ( ( k04_buttercup10100 @ SV109 )
        = $false )
      | ( ( k04_buttercup10100 @ SV90 )
        = $false )
      | ( ( b48_buttercup10108 @ SV90 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2547]) ).

thf(2674,plain,
    ! [SV90: $i,SV109: $i,SV125: $i] :
      ( ( ( k04_buttercup10100 @ sK85_SY195 )
        = $true )
      | ( ( k04_buttercup10100 @ SV125 )
        = $true )
      | ( ( b48_buttercup10108 @ SV125 )
        = $false )
      | ( ( b48_buttercup10108 @ SV109 )
        = $true )
      | ( ( k04_buttercup10100 @ SV109 )
        = $false )
      | ( ( k04_buttercup10100 @ SV90 )
        = $false )
      | ( ( b48_buttercup10108 @ SV90 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2548]) ).

thf(2675,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10108 @ sK80_X39 )
              | ~ ( k04_buttercup10100 @ sK80_X39 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK83_X43 )
        = $true )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2549]) ).

thf(2676,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( k04_buttercup10100 @ sK81_SY192 )
        = $true )
      | ( ( k04_buttercup10100 @ sK83_X43 )
        = $true )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2550]) ).

thf(2677,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10108 @ sK80_X39 )
                | ~ ( k04_buttercup10100 @ sK80_X39 ) ) )
        = $false )
      | ( ( b48_buttercup10108 @ sK83_X43 )
        = $false )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2551]) ).

thf(2678,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK81_SY192 ) )
        = $false )
      | ( ( b48_buttercup10108 @ sK83_X43 )
        = $false )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2551]) ).

thf(2679,plain,
    ! [SV92: $i,SV126: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10108 @ sK76_X39 )
              | ~ ( k04_buttercup10100 @ sK76_X39 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV126 )
        = $true )
      | ( ( b48_buttercup10108 @ SV126 )
        = $false )
      | ( ( b48_buttercup10108 @ sK79_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2553]) ).

thf(2680,plain,
    ! [SV92: $i,SV126: $i] :
      ( ( ( k04_buttercup10100 @ sK77_SY189 )
        = $true )
      | ( ( k04_buttercup10100 @ SV126 )
        = $true )
      | ( ( b48_buttercup10108 @ SV126 )
        = $false )
      | ( ( b48_buttercup10108 @ sK79_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2554]) ).

thf(2681,plain,
    ! [SV92: $i,SV134: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10108 @ sK76_X39 )
                | ~ ( k04_buttercup10100 @ sK76_X39 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV134 )
        = $true )
      | ( ( b48_buttercup10108 @ SV134 )
        = $false )
      | ( ( k04_buttercup10100 @ sK79_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2555]) ).

thf(2682,plain,
    ! [SV92: $i,SV134: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK77_SY189 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV134 )
        = $true )
      | ( ( b48_buttercup10108 @ SV134 )
        = $false )
      | ( ( k04_buttercup10100 @ sK79_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2555]) ).

thf(2683,plain,
    ! [SV93: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
              | ~ ( k04_buttercup10100 @ sK71_X39 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK74_X43 )
        = $true )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2557]) ).

thf(2684,plain,
    ! [SV93: $i] :
      ( ( ( k04_buttercup10100 @ sK72_SY186 )
        = $true )
      | ( ( k04_buttercup10100 @ sK74_X43 )
        = $true )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2558]) ).

thf(2685,plain,
    ! [SV93: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                | ~ ( k04_buttercup10100 @ sK71_X39 ) ) )
        = $false )
      | ( ( b48_buttercup10108 @ sK74_X43 )
        = $false )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2559]) ).

thf(2686,plain,
    ! [SV93: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK72_SY186 ) )
        = $false )
      | ( ( b48_buttercup10108 @ sK74_X43 )
        = $false )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2559]) ).

thf(2687,plain,
    ! [SV93: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                | ~ ( k04_buttercup10100 @ sK71_X39 ) ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK74_X43 )
        = $true )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2561]) ).

thf(2688,plain,
    ! [SV93: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK72_SY186 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK74_X43 )
        = $true )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2561]) ).

thf(2689,plain,
    ! [SV93: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                | ~ ( k04_buttercup10100 @ sK71_X39 ) )
          | ~ ( k04_buttercup10100 @ sK72_SY186 ) )
        = $false )
      | ( ( b48_buttercup10108 @ sK74_X43 )
        = $false )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2563]) ).

thf(2690,plain,
    ! [SV93: $i] :
      ( ( ( b48_buttercup10108 @ sK72_SY186 )
        = $false )
      | ( ( b48_buttercup10108 @ sK74_X43 )
        = $false )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2564]) ).

thf(2691,plain,
    ! [SV94: $i,SV111: $i,SV127: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10111 @ sK118_X19 )
              | ~ ( k04_buttercup10619 @ sK118_X19 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV127 )
        = $true )
      | ( ( b48_buttercup10111 @ SV127 )
        = $false )
      | ( ( b48_buttercup10111 @ SV111 )
        = $true )
      | ( ( k04_buttercup10619 @ SV111 )
        = $false )
      | ( ( k04_buttercup10619 @ SV94 )
        = $false )
      | ( ( b48_buttercup10111 @ SV94 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2565]) ).

thf(2692,plain,
    ! [SV94: $i,SV111: $i,SV127: $i] :
      ( ( ( k04_buttercup10619 @ sK119_SY219 )
        = $true )
      | ( ( k04_buttercup10619 @ SV127 )
        = $true )
      | ( ( b48_buttercup10111 @ SV127 )
        = $false )
      | ( ( b48_buttercup10111 @ SV111 )
        = $true )
      | ( ( k04_buttercup10619 @ SV111 )
        = $false )
      | ( ( k04_buttercup10619 @ SV94 )
        = $false )
      | ( ( b48_buttercup10111 @ SV94 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2566]) ).

thf(2693,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10111 @ sK114_X19 )
              | ~ ( k04_buttercup10619 @ sK114_X19 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ sK117_X23 )
        = $true )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2567]) ).

thf(2694,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( k04_buttercup10619 @ sK115_SY216 )
        = $true )
      | ( ( k04_buttercup10619 @ sK117_X23 )
        = $true )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2568]) ).

thf(2695,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10111 @ sK114_X19 )
                | ~ ( k04_buttercup10619 @ sK114_X19 ) ) )
        = $false )
      | ( ( b48_buttercup10111 @ sK117_X23 )
        = $false )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2569]) ).

thf(2696,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK115_SY216 ) )
        = $false )
      | ( ( b48_buttercup10111 @ sK117_X23 )
        = $false )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2569]) ).

thf(2697,plain,
    ! [SV96: $i,SV128: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10111 @ sK110_X19 )
              | ~ ( k04_buttercup10619 @ sK110_X19 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV128 )
        = $true )
      | ( ( b48_buttercup10111 @ SV128 )
        = $false )
      | ( ( b48_buttercup10111 @ sK113_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2571]) ).

thf(2698,plain,
    ! [SV96: $i,SV128: $i] :
      ( ( ( k04_buttercup10619 @ sK111_SY213 )
        = $true )
      | ( ( k04_buttercup10619 @ SV128 )
        = $true )
      | ( ( b48_buttercup10111 @ SV128 )
        = $false )
      | ( ( b48_buttercup10111 @ sK113_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2572]) ).

thf(2699,plain,
    ! [SV96: $i,SV135: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10111 @ sK110_X19 )
                | ~ ( k04_buttercup10619 @ sK110_X19 ) ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV135 )
        = $true )
      | ( ( b48_buttercup10111 @ SV135 )
        = $false )
      | ( ( k04_buttercup10619 @ sK113_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2573]) ).

thf(2700,plain,
    ! [SV96: $i,SV135: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK111_SY213 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV135 )
        = $true )
      | ( ( b48_buttercup10111 @ SV135 )
        = $false )
      | ( ( k04_buttercup10619 @ sK113_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2573]) ).

thf(2701,plain,
    ! [SV97: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
              | ~ ( k04_buttercup10619 @ sK105_X19 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ sK108_X23 )
        = $true )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2575]) ).

thf(2702,plain,
    ! [SV97: $i] :
      ( ( ( k04_buttercup10619 @ sK106_SY210 )
        = $true )
      | ( ( k04_buttercup10619 @ sK108_X23 )
        = $true )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2576]) ).

thf(2703,plain,
    ! [SV97: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                | ~ ( k04_buttercup10619 @ sK105_X19 ) ) )
        = $false )
      | ( ( b48_buttercup10111 @ sK108_X23 )
        = $false )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2577]) ).

thf(2704,plain,
    ! [SV97: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK106_SY210 ) )
        = $false )
      | ( ( b48_buttercup10111 @ sK108_X23 )
        = $false )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2577]) ).

thf(2705,plain,
    ! [SV97: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                | ~ ( k04_buttercup10619 @ sK105_X19 ) ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK108_X23 )
        = $true )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2579]) ).

thf(2706,plain,
    ! [SV97: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK106_SY210 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK108_X23 )
        = $true )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2579]) ).

thf(2707,plain,
    ! [SV97: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                | ~ ( k04_buttercup10619 @ sK105_X19 ) )
          | ~ ( k04_buttercup10619 @ sK106_SY210 ) )
        = $false )
      | ( ( b48_buttercup10111 @ sK108_X23 )
        = $false )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2581]) ).

thf(2708,plain,
    ! [SV97: $i] :
      ( ( ( b48_buttercup10111 @ sK106_SY210 )
        = $false )
      | ( ( b48_buttercup10111 @ sK108_X23 )
        = $false )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2582]) ).

thf(2709,plain,
    ! [SV69: $i,SV99: $i,SV115: $i] :
      ( ( ( ~ ( b48_buttercup10102 @ sK48_X63 )
          | ~ ( k04_buttercup10100 @ sK48_X63 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV115 )
        = $true )
      | ( ( b48_buttercup10102 @ SV115 )
        = $false )
      | ( ( b48_buttercup10102 @ SV99 )
        = $true )
      | ( ( k04_buttercup10100 @ SV99 )
        = $false )
      | ( ( k04_buttercup10100 @ SV69 )
        = $false )
      | ( ( b48_buttercup10102 @ SV69 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2583]) ).

thf(2710,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( ~ ( b48_buttercup10102 @ sK44_X63 )
          | ~ ( k04_buttercup10100 @ sK44_X63 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK47_X67 )
        = $true )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2585]) ).

thf(2711,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10102 @ sK44_X63 )
              | ~ ( k04_buttercup10100 @ sK44_X63 ) ) )
        = $true )
      | ( ( b48_buttercup10102 @ sK47_X67 )
        = $false )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2587]) ).

thf(2712,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( k04_buttercup10100 @ sK45_SY168 )
        = $true )
      | ( ( b48_buttercup10102 @ sK47_X67 )
        = $false )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2588]) ).

thf(2713,plain,
    ! [SV71: $i,SV116: $i] :
      ( ( ( ~ ( b48_buttercup10102 @ sK40_X63 )
          | ~ ( k04_buttercup10100 @ sK40_X63 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV116 )
        = $true )
      | ( ( b48_buttercup10102 @ SV116 )
        = $false )
      | ( ( b48_buttercup10102 @ sK43_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2589]) ).

thf(2714,plain,
    ! [SV71: $i,SV129: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10102 @ sK40_X63 )
              | ~ ( k04_buttercup10100 @ sK40_X63 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV129 )
        = $true )
      | ( ( b48_buttercup10102 @ SV129 )
        = $false )
      | ( ( k04_buttercup10100 @ sK43_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2591]) ).

thf(2715,plain,
    ! [SV71: $i,SV129: $i] :
      ( ( ( k04_buttercup10100 @ sK41_SY165 )
        = $true )
      | ( ( k04_buttercup10100 @ SV129 )
        = $true )
      | ( ( b48_buttercup10102 @ SV129 )
        = $false )
      | ( ( k04_buttercup10100 @ sK43_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2592]) ).

thf(2716,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( b48_buttercup10102 @ sK35_X63 )
          | ~ ( k04_buttercup10100 @ sK35_X63 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK38_X67 )
        = $true )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2593]) ).

thf(2717,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
              | ~ ( k04_buttercup10100 @ sK35_X63 ) ) )
        = $true )
      | ( ( b48_buttercup10102 @ sK38_X67 )
        = $false )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2595]) ).

thf(2718,plain,
    ! [SV72: $i] :
      ( ( ( k04_buttercup10100 @ sK36_SY162 )
        = $true )
      | ( ( b48_buttercup10102 @ sK38_X67 )
        = $false )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2596]) ).

thf(2719,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
              | ~ ( k04_buttercup10100 @ sK35_X63 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK38_X67 )
        = $true )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2597]) ).

thf(2720,plain,
    ! [SV72: $i] :
      ( ( ( k04_buttercup10100 @ sK36_SY162 )
        = $true )
      | ( ( k04_buttercup10100 @ sK38_X67 )
        = $true )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2598]) ).

thf(2721,plain,
    ! [SV72: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
                | ~ ( k04_buttercup10100 @ sK35_X63 ) ) )
        = $false )
      | ( ( b48_buttercup10102 @ sK38_X67 )
        = $false )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2599]) ).

thf(2722,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK36_SY162 ) )
        = $false )
      | ( ( b48_buttercup10102 @ sK38_X67 )
        = $false )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2599]) ).

thf(2723,plain,
    ! [SV74: $i,SV101: $i,SV117: $i] :
      ( ( ( ~ ( b48_buttercup10109 @ sK101_X29 )
          | ~ ( k04_buttercup10619 @ sK101_X29 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV117 )
        = $true )
      | ( ( b48_buttercup10109 @ SV117 )
        = $false )
      | ( ( b48_buttercup10109 @ SV101 )
        = $true )
      | ( ( k04_buttercup10619 @ SV101 )
        = $false )
      | ( ( k04_buttercup10619 @ SV74 )
        = $false )
      | ( ( b48_buttercup10109 @ SV74 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2601]) ).

thf(2724,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( ~ ( b48_buttercup10109 @ sK97_X29 )
          | ~ ( k04_buttercup10619 @ sK97_X29 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK100_X33 )
        = $true )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2603]) ).

thf(2725,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10109 @ sK97_X29 )
              | ~ ( k04_buttercup10619 @ sK97_X29 ) ) )
        = $true )
      | ( ( b48_buttercup10109 @ sK100_X33 )
        = $false )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2605]) ).

thf(2726,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( k04_buttercup10619 @ sK98_SY204 )
        = $true )
      | ( ( b48_buttercup10109 @ sK100_X33 )
        = $false )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2606]) ).

thf(2727,plain,
    ! [SV76: $i,SV118: $i] :
      ( ( ( ~ ( b48_buttercup10109 @ sK93_X29 )
          | ~ ( k04_buttercup10619 @ sK93_X29 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV118 )
        = $true )
      | ( ( b48_buttercup10109 @ SV118 )
        = $false )
      | ( ( b48_buttercup10109 @ sK96_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2607]) ).

thf(2728,plain,
    ! [SV76: $i,SV130: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10109 @ sK93_X29 )
              | ~ ( k04_buttercup10619 @ sK93_X29 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV130 )
        = $true )
      | ( ( b48_buttercup10109 @ SV130 )
        = $false )
      | ( ( k04_buttercup10619 @ sK96_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2609]) ).

thf(2729,plain,
    ! [SV76: $i,SV130: $i] :
      ( ( ( k04_buttercup10619 @ sK94_SY201 )
        = $true )
      | ( ( k04_buttercup10619 @ SV130 )
        = $true )
      | ( ( b48_buttercup10109 @ SV130 )
        = $false )
      | ( ( k04_buttercup10619 @ sK96_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2610]) ).

thf(2730,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( b48_buttercup10109 @ sK88_X29 )
          | ~ ( k04_buttercup10619 @ sK88_X29 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK91_X33 )
        = $true )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2611]) ).

thf(2731,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
              | ~ ( k04_buttercup10619 @ sK88_X29 ) ) )
        = $true )
      | ( ( b48_buttercup10109 @ sK91_X33 )
        = $false )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2613]) ).

thf(2732,plain,
    ! [SV77: $i] :
      ( ( ( k04_buttercup10619 @ sK89_SY198 )
        = $true )
      | ( ( b48_buttercup10109 @ sK91_X33 )
        = $false )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2614]) ).

thf(2733,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
              | ~ ( k04_buttercup10619 @ sK88_X29 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ sK91_X33 )
        = $true )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2615]) ).

thf(2734,plain,
    ! [SV77: $i] :
      ( ( ( k04_buttercup10619 @ sK89_SY198 )
        = $true )
      | ( ( k04_buttercup10619 @ sK91_X33 )
        = $true )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2616]) ).

thf(2735,plain,
    ! [SV77: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
                | ~ ( k04_buttercup10619 @ sK88_X29 ) ) )
        = $false )
      | ( ( b48_buttercup10109 @ sK91_X33 )
        = $false )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2617]) ).

thf(2736,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK89_SY198 ) )
        = $false )
      | ( ( b48_buttercup10109 @ sK91_X33 )
        = $false )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2617]) ).

thf(2737,plain,
    ! [SV78: $i,SV103: $i,SV119: $i] :
      ( ( ( ~ ( b48_buttercup10107 @ sK31_X74 )
          | ~ ( k04_buttercup10100 @ sK31_X74 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV119 )
        = $true )
      | ( ( b48_buttercup10107 @ SV119 )
        = $false )
      | ( ( b48_buttercup10107 @ SV103 )
        = $true )
      | ( ( k04_buttercup10100 @ SV103 )
        = $false )
      | ( ( k04_buttercup10100 @ SV78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV78 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2619]) ).

thf(2738,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( ~ ( b48_buttercup10107 @ sK27_X74 )
          | ~ ( k04_buttercup10100 @ sK27_X74 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK30_X78 )
        = $true )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2621]) ).

thf(2739,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10107 @ sK27_X74 )
              | ~ ( k04_buttercup10100 @ sK27_X74 ) ) )
        = $true )
      | ( ( b48_buttercup10107 @ sK30_X78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2623]) ).

thf(2740,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( k04_buttercup10100 @ sK28_SY156 )
        = $true )
      | ( ( b48_buttercup10107 @ sK30_X78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2624]) ).

thf(2741,plain,
    ! [SV80: $i,SV120: $i] :
      ( ( ( ~ ( b48_buttercup10107 @ sK23_X74 )
          | ~ ( k04_buttercup10100 @ sK23_X74 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV120 )
        = $true )
      | ( ( b48_buttercup10107 @ SV120 )
        = $false )
      | ( ( b48_buttercup10107 @ sK26_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2625]) ).

thf(2742,plain,
    ! [SV80: $i,SV131: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10107 @ sK23_X74 )
              | ~ ( k04_buttercup10100 @ sK23_X74 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV131 )
        = $true )
      | ( ( b48_buttercup10107 @ SV131 )
        = $false )
      | ( ( k04_buttercup10100 @ sK26_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2627]) ).

thf(2743,plain,
    ! [SV80: $i,SV131: $i] :
      ( ( ( k04_buttercup10100 @ sK24_SY153 )
        = $true )
      | ( ( k04_buttercup10100 @ SV131 )
        = $true )
      | ( ( b48_buttercup10107 @ SV131 )
        = $false )
      | ( ( k04_buttercup10100 @ sK26_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2628]) ).

thf(2744,plain,
    ! [SV81: $i] :
      ( ( ( ~ ( b48_buttercup10107 @ sK18_X74 )
          | ~ ( k04_buttercup10100 @ sK18_X74 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK21_X78 )
        = $true )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2629]) ).

thf(2745,plain,
    ! [SV81: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
              | ~ ( k04_buttercup10100 @ sK18_X74 ) ) )
        = $true )
      | ( ( b48_buttercup10107 @ sK21_X78 )
        = $false )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2631]) ).

thf(2746,plain,
    ! [SV81: $i] :
      ( ( ( k04_buttercup10100 @ sK19_SY150 )
        = $true )
      | ( ( b48_buttercup10107 @ sK21_X78 )
        = $false )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2632]) ).

thf(2747,plain,
    ! [SV81: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
              | ~ ( k04_buttercup10100 @ sK18_X74 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK21_X78 )
        = $true )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2633]) ).

thf(2748,plain,
    ! [SV81: $i] :
      ( ( ( k04_buttercup10100 @ sK19_SY150 )
        = $true )
      | ( ( k04_buttercup10100 @ sK21_X78 )
        = $true )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2634]) ).

thf(2749,plain,
    ! [SV81: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
                | ~ ( k04_buttercup10100 @ sK18_X74 ) ) )
        = $false )
      | ( ( b48_buttercup10107 @ sK21_X78 )
        = $false )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2635]) ).

thf(2750,plain,
    ! [SV81: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK19_SY150 ) )
        = $false )
      | ( ( b48_buttercup10107 @ sK21_X78 )
        = $false )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2635]) ).

thf(2751,plain,
    ! [SV82: $i,SV105: $i,SV121: $i] :
      ( ( ( ~ ( b48_buttercup10104 @ sK135_X9 )
          | ~ ( k04_buttercup10100 @ sK135_X9 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV121 )
        = $true )
      | ( ( b48_buttercup10104 @ SV121 )
        = $false )
      | ( ( b48_buttercup10104 @ SV105 )
        = $true )
      | ( ( k04_buttercup10100 @ SV105 )
        = $false )
      | ( ( k04_buttercup10100 @ SV82 )
        = $false )
      | ( ( b48_buttercup10104 @ SV82 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2637]) ).

thf(2752,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( ~ ( b48_buttercup10104 @ sK131_X9 )
          | ~ ( k04_buttercup10100 @ sK131_X9 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK134_X13 )
        = $true )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2639]) ).

thf(2753,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10104 @ sK131_X9 )
              | ~ ( k04_buttercup10100 @ sK131_X9 ) ) )
        = $true )
      | ( ( b48_buttercup10104 @ sK134_X13 )
        = $false )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2641]) ).

thf(2754,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( k04_buttercup10100 @ sK132_SY228 )
        = $true )
      | ( ( b48_buttercup10104 @ sK134_X13 )
        = $false )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2642]) ).

thf(2755,plain,
    ! [SV84: $i,SV122: $i] :
      ( ( ( ~ ( b48_buttercup10104 @ sK127_X9 )
          | ~ ( k04_buttercup10100 @ sK127_X9 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV122 )
        = $true )
      | ( ( b48_buttercup10104 @ SV122 )
        = $false )
      | ( ( b48_buttercup10104 @ sK130_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2643]) ).

thf(2756,plain,
    ! [SV84: $i,SV132: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10104 @ sK127_X9 )
              | ~ ( k04_buttercup10100 @ sK127_X9 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV132 )
        = $true )
      | ( ( b48_buttercup10104 @ SV132 )
        = $false )
      | ( ( k04_buttercup10100 @ sK130_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2645]) ).

thf(2757,plain,
    ! [SV84: $i,SV132: $i] :
      ( ( ( k04_buttercup10100 @ sK128_SY225 )
        = $true )
      | ( ( k04_buttercup10100 @ SV132 )
        = $true )
      | ( ( b48_buttercup10104 @ SV132 )
        = $false )
      | ( ( k04_buttercup10100 @ sK130_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2646]) ).

thf(2758,plain,
    ! [SV85: $i] :
      ( ( ( ~ ( b48_buttercup10104 @ sK122_X9 )
          | ~ ( k04_buttercup10100 @ sK122_X9 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK125_X13 )
        = $true )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2647]) ).

thf(2759,plain,
    ! [SV85: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
              | ~ ( k04_buttercup10100 @ sK122_X9 ) ) )
        = $true )
      | ( ( b48_buttercup10104 @ sK125_X13 )
        = $false )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2649]) ).

thf(2760,plain,
    ! [SV85: $i] :
      ( ( ( k04_buttercup10100 @ sK123_SY222 )
        = $true )
      | ( ( b48_buttercup10104 @ sK125_X13 )
        = $false )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2650]) ).

thf(2761,plain,
    ! [SV85: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
              | ~ ( k04_buttercup10100 @ sK122_X9 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK125_X13 )
        = $true )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2651]) ).

thf(2762,plain,
    ! [SV85: $i] :
      ( ( ( k04_buttercup10100 @ sK123_SY222 )
        = $true )
      | ( ( k04_buttercup10100 @ sK125_X13 )
        = $true )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2652]) ).

thf(2763,plain,
    ! [SV85: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
                | ~ ( k04_buttercup10100 @ sK122_X9 ) ) )
        = $false )
      | ( ( b48_buttercup10104 @ sK125_X13 )
        = $false )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2653]) ).

thf(2764,plain,
    ! [SV85: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK123_SY222 ) )
        = $false )
      | ( ( b48_buttercup10104 @ sK125_X13 )
        = $false )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2653]) ).

thf(2765,plain,
    ! [SV86: $i,SV107: $i,SV123: $i] :
      ( ( ( ~ ( b48_buttercup10110 @ sK68_X47 )
          | ~ ( k04_buttercup10100 @ sK68_X47 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV123 )
        = $true )
      | ( ( b48_buttercup10110 @ SV123 )
        = $false )
      | ( ( b48_buttercup10110 @ SV107 )
        = $true )
      | ( ( k04_buttercup10100 @ SV107 )
        = $false )
      | ( ( k04_buttercup10100 @ SV86 )
        = $false )
      | ( ( b48_buttercup10110 @ SV86 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2655]) ).

thf(2766,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( ~ ( b48_buttercup10110 @ sK64_X47 )
          | ~ ( k04_buttercup10100 @ sK64_X47 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK67_X51 )
        = $true )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2657]) ).

thf(2767,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10110 @ sK64_X47 )
              | ~ ( k04_buttercup10100 @ sK64_X47 ) ) )
        = $true )
      | ( ( b48_buttercup10110 @ sK67_X51 )
        = $false )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2659]) ).

thf(2768,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( k04_buttercup10100 @ sK65_SY180 )
        = $true )
      | ( ( b48_buttercup10110 @ sK67_X51 )
        = $false )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2660]) ).

thf(2769,plain,
    ! [SV88: $i,SV124: $i] :
      ( ( ( ~ ( b48_buttercup10110 @ sK60_X47 )
          | ~ ( k04_buttercup10100 @ sK60_X47 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV124 )
        = $true )
      | ( ( b48_buttercup10110 @ SV124 )
        = $false )
      | ( ( b48_buttercup10110 @ sK63_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2661]) ).

thf(2770,plain,
    ! [SV88: $i,SV133: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10110 @ sK60_X47 )
              | ~ ( k04_buttercup10100 @ sK60_X47 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV133 )
        = $true )
      | ( ( b48_buttercup10110 @ SV133 )
        = $false )
      | ( ( k04_buttercup10100 @ sK63_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2663]) ).

thf(2771,plain,
    ! [SV88: $i,SV133: $i] :
      ( ( ( k04_buttercup10100 @ sK61_SY177 )
        = $true )
      | ( ( k04_buttercup10100 @ SV133 )
        = $true )
      | ( ( b48_buttercup10110 @ SV133 )
        = $false )
      | ( ( k04_buttercup10100 @ sK63_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2664]) ).

thf(2772,plain,
    ! [SV89: $i] :
      ( ( ( ~ ( b48_buttercup10110 @ sK55_X47 )
          | ~ ( k04_buttercup10100 @ sK55_X47 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK58_X51 )
        = $true )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2665]) ).

thf(2773,plain,
    ! [SV89: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
              | ~ ( k04_buttercup10100 @ sK55_X47 ) ) )
        = $true )
      | ( ( b48_buttercup10110 @ sK58_X51 )
        = $false )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2667]) ).

thf(2774,plain,
    ! [SV89: $i] :
      ( ( ( k04_buttercup10100 @ sK56_SY174 )
        = $true )
      | ( ( b48_buttercup10110 @ sK58_X51 )
        = $false )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2668]) ).

thf(2775,plain,
    ! [SV89: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
              | ~ ( k04_buttercup10100 @ sK55_X47 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK58_X51 )
        = $true )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2669]) ).

thf(2776,plain,
    ! [SV89: $i] :
      ( ( ( k04_buttercup10100 @ sK56_SY174 )
        = $true )
      | ( ( k04_buttercup10100 @ sK58_X51 )
        = $true )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2670]) ).

thf(2777,plain,
    ! [SV89: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
                | ~ ( k04_buttercup10100 @ sK55_X47 ) ) )
        = $false )
      | ( ( b48_buttercup10110 @ sK58_X51 )
        = $false )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2671]) ).

thf(2778,plain,
    ! [SV89: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK56_SY174 ) )
        = $false )
      | ( ( b48_buttercup10110 @ sK58_X51 )
        = $false )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2671]) ).

thf(2779,plain,
    ! [SV90: $i,SV109: $i,SV125: $i] :
      ( ( ( ~ ( b48_buttercup10108 @ sK84_X39 )
          | ~ ( k04_buttercup10100 @ sK84_X39 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV125 )
        = $true )
      | ( ( b48_buttercup10108 @ SV125 )
        = $false )
      | ( ( b48_buttercup10108 @ SV109 )
        = $true )
      | ( ( k04_buttercup10100 @ SV109 )
        = $false )
      | ( ( k04_buttercup10100 @ SV90 )
        = $false )
      | ( ( b48_buttercup10108 @ SV90 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2673]) ).

thf(2780,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( ~ ( b48_buttercup10108 @ sK80_X39 )
          | ~ ( k04_buttercup10100 @ sK80_X39 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK83_X43 )
        = $true )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2675]) ).

thf(2781,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10108 @ sK80_X39 )
              | ~ ( k04_buttercup10100 @ sK80_X39 ) ) )
        = $true )
      | ( ( b48_buttercup10108 @ sK83_X43 )
        = $false )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2677]) ).

thf(2782,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( k04_buttercup10100 @ sK81_SY192 )
        = $true )
      | ( ( b48_buttercup10108 @ sK83_X43 )
        = $false )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2678]) ).

thf(2783,plain,
    ! [SV92: $i,SV126: $i] :
      ( ( ( ~ ( b48_buttercup10108 @ sK76_X39 )
          | ~ ( k04_buttercup10100 @ sK76_X39 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV126 )
        = $true )
      | ( ( b48_buttercup10108 @ SV126 )
        = $false )
      | ( ( b48_buttercup10108 @ sK79_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2679]) ).

thf(2784,plain,
    ! [SV92: $i,SV134: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10108 @ sK76_X39 )
              | ~ ( k04_buttercup10100 @ sK76_X39 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ SV134 )
        = $true )
      | ( ( b48_buttercup10108 @ SV134 )
        = $false )
      | ( ( k04_buttercup10100 @ sK79_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2681]) ).

thf(2785,plain,
    ! [SV92: $i,SV134: $i] :
      ( ( ( k04_buttercup10100 @ sK77_SY189 )
        = $true )
      | ( ( k04_buttercup10100 @ SV134 )
        = $true )
      | ( ( b48_buttercup10108 @ SV134 )
        = $false )
      | ( ( k04_buttercup10100 @ sK79_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2682]) ).

thf(2786,plain,
    ! [SV93: $i] :
      ( ( ( ~ ( b48_buttercup10108 @ sK71_X39 )
          | ~ ( k04_buttercup10100 @ sK71_X39 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK74_X43 )
        = $true )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2683]) ).

thf(2787,plain,
    ! [SV93: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
              | ~ ( k04_buttercup10100 @ sK71_X39 ) ) )
        = $true )
      | ( ( b48_buttercup10108 @ sK74_X43 )
        = $false )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2685]) ).

thf(2788,plain,
    ! [SV93: $i] :
      ( ( ( k04_buttercup10100 @ sK72_SY186 )
        = $true )
      | ( ( b48_buttercup10108 @ sK74_X43 )
        = $false )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2686]) ).

thf(2789,plain,
    ! [SV93: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
              | ~ ( k04_buttercup10100 @ sK71_X39 ) ) )
        = $true )
      | ( ( k04_buttercup10100 @ sK74_X43 )
        = $true )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2687]) ).

thf(2790,plain,
    ! [SV93: $i] :
      ( ( ( k04_buttercup10100 @ sK72_SY186 )
        = $true )
      | ( ( k04_buttercup10100 @ sK74_X43 )
        = $true )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2688]) ).

thf(2791,plain,
    ! [SV93: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
                | ~ ( k04_buttercup10100 @ sK71_X39 ) ) )
        = $false )
      | ( ( b48_buttercup10108 @ sK74_X43 )
        = $false )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2689]) ).

thf(2792,plain,
    ! [SV93: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK72_SY186 ) )
        = $false )
      | ( ( b48_buttercup10108 @ sK74_X43 )
        = $false )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2689]) ).

thf(2793,plain,
    ! [SV94: $i,SV111: $i,SV127: $i] :
      ( ( ( ~ ( b48_buttercup10111 @ sK118_X19 )
          | ~ ( k04_buttercup10619 @ sK118_X19 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV127 )
        = $true )
      | ( ( b48_buttercup10111 @ SV127 )
        = $false )
      | ( ( b48_buttercup10111 @ SV111 )
        = $true )
      | ( ( k04_buttercup10619 @ SV111 )
        = $false )
      | ( ( k04_buttercup10619 @ SV94 )
        = $false )
      | ( ( b48_buttercup10111 @ SV94 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2691]) ).

thf(2794,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( ~ ( b48_buttercup10111 @ sK114_X19 )
          | ~ ( k04_buttercup10619 @ sK114_X19 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK117_X23 )
        = $true )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2693]) ).

thf(2795,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10111 @ sK114_X19 )
              | ~ ( k04_buttercup10619 @ sK114_X19 ) ) )
        = $true )
      | ( ( b48_buttercup10111 @ sK117_X23 )
        = $false )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2695]) ).

thf(2796,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( k04_buttercup10619 @ sK115_SY216 )
        = $true )
      | ( ( b48_buttercup10111 @ sK117_X23 )
        = $false )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2696]) ).

thf(2797,plain,
    ! [SV96: $i,SV128: $i] :
      ( ( ( ~ ( b48_buttercup10111 @ sK110_X19 )
          | ~ ( k04_buttercup10619 @ sK110_X19 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV128 )
        = $true )
      | ( ( b48_buttercup10111 @ SV128 )
        = $false )
      | ( ( b48_buttercup10111 @ sK113_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2697]) ).

thf(2798,plain,
    ! [SV96: $i,SV135: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10111 @ sK110_X19 )
              | ~ ( k04_buttercup10619 @ sK110_X19 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ SV135 )
        = $true )
      | ( ( b48_buttercup10111 @ SV135 )
        = $false )
      | ( ( k04_buttercup10619 @ sK113_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2699]) ).

thf(2799,plain,
    ! [SV96: $i,SV135: $i] :
      ( ( ( k04_buttercup10619 @ sK111_SY213 )
        = $true )
      | ( ( k04_buttercup10619 @ SV135 )
        = $true )
      | ( ( b48_buttercup10111 @ SV135 )
        = $false )
      | ( ( k04_buttercup10619 @ sK113_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2700]) ).

thf(2800,plain,
    ! [SV97: $i] :
      ( ( ( ~ ( b48_buttercup10111 @ sK105_X19 )
          | ~ ( k04_buttercup10619 @ sK105_X19 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK108_X23 )
        = $true )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2701]) ).

thf(2801,plain,
    ! [SV97: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
              | ~ ( k04_buttercup10619 @ sK105_X19 ) ) )
        = $true )
      | ( ( b48_buttercup10111 @ sK108_X23 )
        = $false )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2703]) ).

thf(2802,plain,
    ! [SV97: $i] :
      ( ( ( k04_buttercup10619 @ sK106_SY210 )
        = $true )
      | ( ( b48_buttercup10111 @ sK108_X23 )
        = $false )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2704]) ).

thf(2803,plain,
    ! [SV97: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
              | ~ ( k04_buttercup10619 @ sK105_X19 ) ) )
        = $true )
      | ( ( k04_buttercup10619 @ sK108_X23 )
        = $true )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2705]) ).

thf(2804,plain,
    ! [SV97: $i] :
      ( ( ( k04_buttercup10619 @ sK106_SY210 )
        = $true )
      | ( ( k04_buttercup10619 @ sK108_X23 )
        = $true )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2706]) ).

thf(2805,plain,
    ! [SV97: $i] :
      ( ( ( ~ ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
                | ~ ( k04_buttercup10619 @ sK105_X19 ) ) )
        = $false )
      | ( ( b48_buttercup10111 @ sK108_X23 )
        = $false )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2707]) ).

thf(2806,plain,
    ! [SV97: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK106_SY210 ) )
        = $false )
      | ( ( b48_buttercup10111 @ sK108_X23 )
        = $false )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2707]) ).

thf(2807,plain,
    ! [SV69: $i,SV99: $i,SV115: $i] :
      ( ( ( ~ ( b48_buttercup10102 @ sK48_X63 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV115 )
        = $true )
      | ( ( b48_buttercup10102 @ SV115 )
        = $false )
      | ( ( b48_buttercup10102 @ SV99 )
        = $true )
      | ( ( k04_buttercup10100 @ SV99 )
        = $false )
      | ( ( k04_buttercup10100 @ SV69 )
        = $false )
      | ( ( b48_buttercup10102 @ SV69 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2709]) ).

thf(2808,plain,
    ! [SV69: $i,SV99: $i,SV115: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK48_X63 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV115 )
        = $true )
      | ( ( b48_buttercup10102 @ SV115 )
        = $false )
      | ( ( b48_buttercup10102 @ SV99 )
        = $true )
      | ( ( k04_buttercup10100 @ SV99 )
        = $false )
      | ( ( k04_buttercup10100 @ SV69 )
        = $false )
      | ( ( b48_buttercup10102 @ SV69 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2709]) ).

thf(2809,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( ~ ( b48_buttercup10102 @ sK44_X63 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK47_X67 )
        = $true )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2710]) ).

thf(2810,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK44_X63 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK47_X67 )
        = $true )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2710]) ).

thf(2811,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( ~ ( b48_buttercup10102 @ sK44_X63 )
          | ~ ( k04_buttercup10100 @ sK44_X63 ) )
        = $false )
      | ( ( b48_buttercup10102 @ sK47_X67 )
        = $false )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2711]) ).

thf(2812,plain,
    ! [SV71: $i,SV116: $i] :
      ( ( ( ~ ( b48_buttercup10102 @ sK40_X63 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV116 )
        = $true )
      | ( ( b48_buttercup10102 @ SV116 )
        = $false )
      | ( ( b48_buttercup10102 @ sK43_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2713]) ).

thf(2813,plain,
    ! [SV71: $i,SV116: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK40_X63 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV116 )
        = $true )
      | ( ( b48_buttercup10102 @ SV116 )
        = $false )
      | ( ( b48_buttercup10102 @ sK43_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2713]) ).

thf(2814,plain,
    ! [SV71: $i,SV129: $i] :
      ( ( ( ~ ( b48_buttercup10102 @ sK40_X63 )
          | ~ ( k04_buttercup10100 @ sK40_X63 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV129 )
        = $true )
      | ( ( b48_buttercup10102 @ SV129 )
        = $false )
      | ( ( k04_buttercup10100 @ sK43_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2714]) ).

thf(2815,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( b48_buttercup10102 @ sK35_X63 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK38_X67 )
        = $true )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2716]) ).

thf(2816,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK35_X63 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK38_X67 )
        = $true )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2716]) ).

thf(2817,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( b48_buttercup10102 @ sK35_X63 )
          | ~ ( k04_buttercup10100 @ sK35_X63 ) )
        = $false )
      | ( ( b48_buttercup10102 @ sK38_X67 )
        = $false )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2717]) ).

thf(2818,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( b48_buttercup10102 @ sK35_X63 )
          | ~ ( k04_buttercup10100 @ sK35_X63 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK38_X67 )
        = $true )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2719]) ).

thf(2819,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10102 @ sK35_X63 )
              | ~ ( k04_buttercup10100 @ sK35_X63 ) ) )
        = $true )
      | ( ( b48_buttercup10102 @ sK38_X67 )
        = $false )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2721]) ).

thf(2820,plain,
    ! [SV72: $i] :
      ( ( ( k04_buttercup10100 @ sK36_SY162 )
        = $true )
      | ( ( b48_buttercup10102 @ sK38_X67 )
        = $false )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2722]) ).

thf(2821,plain,
    ! [SV74: $i,SV101: $i,SV117: $i] :
      ( ( ( ~ ( b48_buttercup10109 @ sK101_X29 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV117 )
        = $true )
      | ( ( b48_buttercup10109 @ SV117 )
        = $false )
      | ( ( b48_buttercup10109 @ SV101 )
        = $true )
      | ( ( k04_buttercup10619 @ SV101 )
        = $false )
      | ( ( k04_buttercup10619 @ SV74 )
        = $false )
      | ( ( b48_buttercup10109 @ SV74 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2723]) ).

thf(2822,plain,
    ! [SV74: $i,SV101: $i,SV117: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK101_X29 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV117 )
        = $true )
      | ( ( b48_buttercup10109 @ SV117 )
        = $false )
      | ( ( b48_buttercup10109 @ SV101 )
        = $true )
      | ( ( k04_buttercup10619 @ SV101 )
        = $false )
      | ( ( k04_buttercup10619 @ SV74 )
        = $false )
      | ( ( b48_buttercup10109 @ SV74 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2723]) ).

thf(2823,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( ~ ( b48_buttercup10109 @ sK97_X29 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK100_X33 )
        = $true )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2724]) ).

thf(2824,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK97_X29 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK100_X33 )
        = $true )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2724]) ).

thf(2825,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( ~ ( b48_buttercup10109 @ sK97_X29 )
          | ~ ( k04_buttercup10619 @ sK97_X29 ) )
        = $false )
      | ( ( b48_buttercup10109 @ sK100_X33 )
        = $false )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2725]) ).

thf(2826,plain,
    ! [SV76: $i,SV118: $i] :
      ( ( ( ~ ( b48_buttercup10109 @ sK93_X29 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV118 )
        = $true )
      | ( ( b48_buttercup10109 @ SV118 )
        = $false )
      | ( ( b48_buttercup10109 @ sK96_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2727]) ).

thf(2827,plain,
    ! [SV76: $i,SV118: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK93_X29 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV118 )
        = $true )
      | ( ( b48_buttercup10109 @ SV118 )
        = $false )
      | ( ( b48_buttercup10109 @ sK96_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2727]) ).

thf(2828,plain,
    ! [SV76: $i,SV130: $i] :
      ( ( ( ~ ( b48_buttercup10109 @ sK93_X29 )
          | ~ ( k04_buttercup10619 @ sK93_X29 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV130 )
        = $true )
      | ( ( b48_buttercup10109 @ SV130 )
        = $false )
      | ( ( k04_buttercup10619 @ sK96_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2728]) ).

thf(2829,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( b48_buttercup10109 @ sK88_X29 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK91_X33 )
        = $true )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2730]) ).

thf(2830,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK88_X29 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK91_X33 )
        = $true )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2730]) ).

thf(2831,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( b48_buttercup10109 @ sK88_X29 )
          | ~ ( k04_buttercup10619 @ sK88_X29 ) )
        = $false )
      | ( ( b48_buttercup10109 @ sK91_X33 )
        = $false )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2731]) ).

thf(2832,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( b48_buttercup10109 @ sK88_X29 )
          | ~ ( k04_buttercup10619 @ sK88_X29 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK91_X33 )
        = $true )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2733]) ).

thf(2833,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10109 @ sK88_X29 )
              | ~ ( k04_buttercup10619 @ sK88_X29 ) ) )
        = $true )
      | ( ( b48_buttercup10109 @ sK91_X33 )
        = $false )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2735]) ).

thf(2834,plain,
    ! [SV77: $i] :
      ( ( ( k04_buttercup10619 @ sK89_SY198 )
        = $true )
      | ( ( b48_buttercup10109 @ sK91_X33 )
        = $false )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2736]) ).

thf(2835,plain,
    ! [SV78: $i,SV103: $i,SV119: $i] :
      ( ( ( ~ ( b48_buttercup10107 @ sK31_X74 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV119 )
        = $true )
      | ( ( b48_buttercup10107 @ SV119 )
        = $false )
      | ( ( b48_buttercup10107 @ SV103 )
        = $true )
      | ( ( k04_buttercup10100 @ SV103 )
        = $false )
      | ( ( k04_buttercup10100 @ SV78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV78 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2737]) ).

thf(2836,plain,
    ! [SV78: $i,SV103: $i,SV119: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK31_X74 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV119 )
        = $true )
      | ( ( b48_buttercup10107 @ SV119 )
        = $false )
      | ( ( b48_buttercup10107 @ SV103 )
        = $true )
      | ( ( k04_buttercup10100 @ SV103 )
        = $false )
      | ( ( k04_buttercup10100 @ SV78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV78 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2737]) ).

thf(2837,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( ~ ( b48_buttercup10107 @ sK27_X74 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK30_X78 )
        = $true )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2738]) ).

thf(2838,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK27_X74 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK30_X78 )
        = $true )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2738]) ).

thf(2839,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( ~ ( b48_buttercup10107 @ sK27_X74 )
          | ~ ( k04_buttercup10100 @ sK27_X74 ) )
        = $false )
      | ( ( b48_buttercup10107 @ sK30_X78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2739]) ).

thf(2840,plain,
    ! [SV80: $i,SV120: $i] :
      ( ( ( ~ ( b48_buttercup10107 @ sK23_X74 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV120 )
        = $true )
      | ( ( b48_buttercup10107 @ SV120 )
        = $false )
      | ( ( b48_buttercup10107 @ sK26_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2741]) ).

thf(2841,plain,
    ! [SV80: $i,SV120: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK23_X74 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV120 )
        = $true )
      | ( ( b48_buttercup10107 @ SV120 )
        = $false )
      | ( ( b48_buttercup10107 @ sK26_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2741]) ).

thf(2842,plain,
    ! [SV80: $i,SV131: $i] :
      ( ( ( ~ ( b48_buttercup10107 @ sK23_X74 )
          | ~ ( k04_buttercup10100 @ sK23_X74 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV131 )
        = $true )
      | ( ( b48_buttercup10107 @ SV131 )
        = $false )
      | ( ( k04_buttercup10100 @ sK26_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2742]) ).

thf(2843,plain,
    ! [SV81: $i] :
      ( ( ( ~ ( b48_buttercup10107 @ sK18_X74 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK21_X78 )
        = $true )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2744]) ).

thf(2844,plain,
    ! [SV81: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK18_X74 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK21_X78 )
        = $true )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2744]) ).

thf(2845,plain,
    ! [SV81: $i] :
      ( ( ( ~ ( b48_buttercup10107 @ sK18_X74 )
          | ~ ( k04_buttercup10100 @ sK18_X74 ) )
        = $false )
      | ( ( b48_buttercup10107 @ sK21_X78 )
        = $false )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2745]) ).

thf(2846,plain,
    ! [SV81: $i] :
      ( ( ( ~ ( b48_buttercup10107 @ sK18_X74 )
          | ~ ( k04_buttercup10100 @ sK18_X74 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK21_X78 )
        = $true )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2747]) ).

thf(2847,plain,
    ! [SV81: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10107 @ sK18_X74 )
              | ~ ( k04_buttercup10100 @ sK18_X74 ) ) )
        = $true )
      | ( ( b48_buttercup10107 @ sK21_X78 )
        = $false )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2749]) ).

thf(2848,plain,
    ! [SV81: $i] :
      ( ( ( k04_buttercup10100 @ sK19_SY150 )
        = $true )
      | ( ( b48_buttercup10107 @ sK21_X78 )
        = $false )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2750]) ).

thf(2849,plain,
    ! [SV82: $i,SV105: $i,SV121: $i] :
      ( ( ( ~ ( b48_buttercup10104 @ sK135_X9 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV121 )
        = $true )
      | ( ( b48_buttercup10104 @ SV121 )
        = $false )
      | ( ( b48_buttercup10104 @ SV105 )
        = $true )
      | ( ( k04_buttercup10100 @ SV105 )
        = $false )
      | ( ( k04_buttercup10100 @ SV82 )
        = $false )
      | ( ( b48_buttercup10104 @ SV82 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2751]) ).

thf(2850,plain,
    ! [SV82: $i,SV105: $i,SV121: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK135_X9 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV121 )
        = $true )
      | ( ( b48_buttercup10104 @ SV121 )
        = $false )
      | ( ( b48_buttercup10104 @ SV105 )
        = $true )
      | ( ( k04_buttercup10100 @ SV105 )
        = $false )
      | ( ( k04_buttercup10100 @ SV82 )
        = $false )
      | ( ( b48_buttercup10104 @ SV82 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2751]) ).

thf(2851,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( ~ ( b48_buttercup10104 @ sK131_X9 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK134_X13 )
        = $true )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2752]) ).

thf(2852,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK131_X9 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK134_X13 )
        = $true )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2752]) ).

thf(2853,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( ~ ( b48_buttercup10104 @ sK131_X9 )
          | ~ ( k04_buttercup10100 @ sK131_X9 ) )
        = $false )
      | ( ( b48_buttercup10104 @ sK134_X13 )
        = $false )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2753]) ).

thf(2854,plain,
    ! [SV84: $i,SV122: $i] :
      ( ( ( ~ ( b48_buttercup10104 @ sK127_X9 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV122 )
        = $true )
      | ( ( b48_buttercup10104 @ SV122 )
        = $false )
      | ( ( b48_buttercup10104 @ sK130_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2755]) ).

thf(2855,plain,
    ! [SV84: $i,SV122: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK127_X9 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV122 )
        = $true )
      | ( ( b48_buttercup10104 @ SV122 )
        = $false )
      | ( ( b48_buttercup10104 @ sK130_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2755]) ).

thf(2856,plain,
    ! [SV84: $i,SV132: $i] :
      ( ( ( ~ ( b48_buttercup10104 @ sK127_X9 )
          | ~ ( k04_buttercup10100 @ sK127_X9 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV132 )
        = $true )
      | ( ( b48_buttercup10104 @ SV132 )
        = $false )
      | ( ( k04_buttercup10100 @ sK130_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2756]) ).

thf(2857,plain,
    ! [SV85: $i] :
      ( ( ( ~ ( b48_buttercup10104 @ sK122_X9 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK125_X13 )
        = $true )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2758]) ).

thf(2858,plain,
    ! [SV85: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK122_X9 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK125_X13 )
        = $true )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2758]) ).

thf(2859,plain,
    ! [SV85: $i] :
      ( ( ( ~ ( b48_buttercup10104 @ sK122_X9 )
          | ~ ( k04_buttercup10100 @ sK122_X9 ) )
        = $false )
      | ( ( b48_buttercup10104 @ sK125_X13 )
        = $false )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2759]) ).

thf(2860,plain,
    ! [SV85: $i] :
      ( ( ( ~ ( b48_buttercup10104 @ sK122_X9 )
          | ~ ( k04_buttercup10100 @ sK122_X9 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK125_X13 )
        = $true )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2761]) ).

thf(2861,plain,
    ! [SV85: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10104 @ sK122_X9 )
              | ~ ( k04_buttercup10100 @ sK122_X9 ) ) )
        = $true )
      | ( ( b48_buttercup10104 @ sK125_X13 )
        = $false )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2763]) ).

thf(2862,plain,
    ! [SV85: $i] :
      ( ( ( k04_buttercup10100 @ sK123_SY222 )
        = $true )
      | ( ( b48_buttercup10104 @ sK125_X13 )
        = $false )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2764]) ).

thf(2863,plain,
    ! [SV86: $i,SV107: $i,SV123: $i] :
      ( ( ( ~ ( b48_buttercup10110 @ sK68_X47 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV123 )
        = $true )
      | ( ( b48_buttercup10110 @ SV123 )
        = $false )
      | ( ( b48_buttercup10110 @ SV107 )
        = $true )
      | ( ( k04_buttercup10100 @ SV107 )
        = $false )
      | ( ( k04_buttercup10100 @ SV86 )
        = $false )
      | ( ( b48_buttercup10110 @ SV86 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2765]) ).

thf(2864,plain,
    ! [SV86: $i,SV107: $i,SV123: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK68_X47 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV123 )
        = $true )
      | ( ( b48_buttercup10110 @ SV123 )
        = $false )
      | ( ( b48_buttercup10110 @ SV107 )
        = $true )
      | ( ( k04_buttercup10100 @ SV107 )
        = $false )
      | ( ( k04_buttercup10100 @ SV86 )
        = $false )
      | ( ( b48_buttercup10110 @ SV86 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2765]) ).

thf(2865,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( ~ ( b48_buttercup10110 @ sK64_X47 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK67_X51 )
        = $true )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2766]) ).

thf(2866,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK64_X47 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK67_X51 )
        = $true )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2766]) ).

thf(2867,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( ~ ( b48_buttercup10110 @ sK64_X47 )
          | ~ ( k04_buttercup10100 @ sK64_X47 ) )
        = $false )
      | ( ( b48_buttercup10110 @ sK67_X51 )
        = $false )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2767]) ).

thf(2868,plain,
    ! [SV88: $i,SV124: $i] :
      ( ( ( ~ ( b48_buttercup10110 @ sK60_X47 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV124 )
        = $true )
      | ( ( b48_buttercup10110 @ SV124 )
        = $false )
      | ( ( b48_buttercup10110 @ sK63_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2769]) ).

thf(2869,plain,
    ! [SV88: $i,SV124: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK60_X47 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV124 )
        = $true )
      | ( ( b48_buttercup10110 @ SV124 )
        = $false )
      | ( ( b48_buttercup10110 @ sK63_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2769]) ).

thf(2870,plain,
    ! [SV88: $i,SV133: $i] :
      ( ( ( ~ ( b48_buttercup10110 @ sK60_X47 )
          | ~ ( k04_buttercup10100 @ sK60_X47 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV133 )
        = $true )
      | ( ( b48_buttercup10110 @ SV133 )
        = $false )
      | ( ( k04_buttercup10100 @ sK63_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2770]) ).

thf(2871,plain,
    ! [SV89: $i] :
      ( ( ( ~ ( b48_buttercup10110 @ sK55_X47 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK58_X51 )
        = $true )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2772]) ).

thf(2872,plain,
    ! [SV89: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK55_X47 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK58_X51 )
        = $true )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2772]) ).

thf(2873,plain,
    ! [SV89: $i] :
      ( ( ( ~ ( b48_buttercup10110 @ sK55_X47 )
          | ~ ( k04_buttercup10100 @ sK55_X47 ) )
        = $false )
      | ( ( b48_buttercup10110 @ sK58_X51 )
        = $false )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2773]) ).

thf(2874,plain,
    ! [SV89: $i] :
      ( ( ( ~ ( b48_buttercup10110 @ sK55_X47 )
          | ~ ( k04_buttercup10100 @ sK55_X47 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK58_X51 )
        = $true )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2775]) ).

thf(2875,plain,
    ! [SV89: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10110 @ sK55_X47 )
              | ~ ( k04_buttercup10100 @ sK55_X47 ) ) )
        = $true )
      | ( ( b48_buttercup10110 @ sK58_X51 )
        = $false )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2777]) ).

thf(2876,plain,
    ! [SV89: $i] :
      ( ( ( k04_buttercup10100 @ sK56_SY174 )
        = $true )
      | ( ( b48_buttercup10110 @ sK58_X51 )
        = $false )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2778]) ).

thf(2877,plain,
    ! [SV90: $i,SV109: $i,SV125: $i] :
      ( ( ( ~ ( b48_buttercup10108 @ sK84_X39 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV125 )
        = $true )
      | ( ( b48_buttercup10108 @ SV125 )
        = $false )
      | ( ( b48_buttercup10108 @ SV109 )
        = $true )
      | ( ( k04_buttercup10100 @ SV109 )
        = $false )
      | ( ( k04_buttercup10100 @ SV90 )
        = $false )
      | ( ( b48_buttercup10108 @ SV90 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2779]) ).

thf(2878,plain,
    ! [SV90: $i,SV109: $i,SV125: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK84_X39 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV125 )
        = $true )
      | ( ( b48_buttercup10108 @ SV125 )
        = $false )
      | ( ( b48_buttercup10108 @ SV109 )
        = $true )
      | ( ( k04_buttercup10100 @ SV109 )
        = $false )
      | ( ( k04_buttercup10100 @ SV90 )
        = $false )
      | ( ( b48_buttercup10108 @ SV90 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2779]) ).

thf(2879,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( ~ ( b48_buttercup10108 @ sK80_X39 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK83_X43 )
        = $true )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2780]) ).

thf(2880,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK80_X39 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK83_X43 )
        = $true )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2780]) ).

thf(2881,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( ~ ( b48_buttercup10108 @ sK80_X39 )
          | ~ ( k04_buttercup10100 @ sK80_X39 ) )
        = $false )
      | ( ( b48_buttercup10108 @ sK83_X43 )
        = $false )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2781]) ).

thf(2882,plain,
    ! [SV92: $i,SV126: $i] :
      ( ( ( ~ ( b48_buttercup10108 @ sK76_X39 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV126 )
        = $true )
      | ( ( b48_buttercup10108 @ SV126 )
        = $false )
      | ( ( b48_buttercup10108 @ sK79_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2783]) ).

thf(2883,plain,
    ! [SV92: $i,SV126: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK76_X39 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV126 )
        = $true )
      | ( ( b48_buttercup10108 @ SV126 )
        = $false )
      | ( ( b48_buttercup10108 @ sK79_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2783]) ).

thf(2884,plain,
    ! [SV92: $i,SV134: $i] :
      ( ( ( ~ ( b48_buttercup10108 @ sK76_X39 )
          | ~ ( k04_buttercup10100 @ sK76_X39 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV134 )
        = $true )
      | ( ( b48_buttercup10108 @ SV134 )
        = $false )
      | ( ( k04_buttercup10100 @ sK79_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2784]) ).

thf(2885,plain,
    ! [SV93: $i] :
      ( ( ( ~ ( b48_buttercup10108 @ sK71_X39 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK74_X43 )
        = $true )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2786]) ).

thf(2886,plain,
    ! [SV93: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK71_X39 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK74_X43 )
        = $true )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2786]) ).

thf(2887,plain,
    ! [SV93: $i] :
      ( ( ( ~ ( b48_buttercup10108 @ sK71_X39 )
          | ~ ( k04_buttercup10100 @ sK71_X39 ) )
        = $false )
      | ( ( b48_buttercup10108 @ sK74_X43 )
        = $false )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2787]) ).

thf(2888,plain,
    ! [SV93: $i] :
      ( ( ( ~ ( b48_buttercup10108 @ sK71_X39 )
          | ~ ( k04_buttercup10100 @ sK71_X39 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK74_X43 )
        = $true )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2789]) ).

thf(2889,plain,
    ! [SV93: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10108 @ sK71_X39 )
              | ~ ( k04_buttercup10100 @ sK71_X39 ) ) )
        = $true )
      | ( ( b48_buttercup10108 @ sK74_X43 )
        = $false )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2791]) ).

thf(2890,plain,
    ! [SV93: $i] :
      ( ( ( k04_buttercup10100 @ sK72_SY186 )
        = $true )
      | ( ( b48_buttercup10108 @ sK74_X43 )
        = $false )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2792]) ).

thf(2891,plain,
    ! [SV94: $i,SV111: $i,SV127: $i] :
      ( ( ( ~ ( b48_buttercup10111 @ sK118_X19 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV127 )
        = $true )
      | ( ( b48_buttercup10111 @ SV127 )
        = $false )
      | ( ( b48_buttercup10111 @ SV111 )
        = $true )
      | ( ( k04_buttercup10619 @ SV111 )
        = $false )
      | ( ( k04_buttercup10619 @ SV94 )
        = $false )
      | ( ( b48_buttercup10111 @ SV94 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2793]) ).

thf(2892,plain,
    ! [SV94: $i,SV111: $i,SV127: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK118_X19 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV127 )
        = $true )
      | ( ( b48_buttercup10111 @ SV127 )
        = $false )
      | ( ( b48_buttercup10111 @ SV111 )
        = $true )
      | ( ( k04_buttercup10619 @ SV111 )
        = $false )
      | ( ( k04_buttercup10619 @ SV94 )
        = $false )
      | ( ( b48_buttercup10111 @ SV94 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2793]) ).

thf(2893,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( ~ ( b48_buttercup10111 @ sK114_X19 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK117_X23 )
        = $true )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2794]) ).

thf(2894,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK114_X19 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK117_X23 )
        = $true )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2794]) ).

thf(2895,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( ~ ( b48_buttercup10111 @ sK114_X19 )
          | ~ ( k04_buttercup10619 @ sK114_X19 ) )
        = $false )
      | ( ( b48_buttercup10111 @ sK117_X23 )
        = $false )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2795]) ).

thf(2896,plain,
    ! [SV96: $i,SV128: $i] :
      ( ( ( ~ ( b48_buttercup10111 @ sK110_X19 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV128 )
        = $true )
      | ( ( b48_buttercup10111 @ SV128 )
        = $false )
      | ( ( b48_buttercup10111 @ sK113_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2797]) ).

thf(2897,plain,
    ! [SV96: $i,SV128: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK110_X19 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV128 )
        = $true )
      | ( ( b48_buttercup10111 @ SV128 )
        = $false )
      | ( ( b48_buttercup10111 @ sK113_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2797]) ).

thf(2898,plain,
    ! [SV96: $i,SV135: $i] :
      ( ( ( ~ ( b48_buttercup10111 @ sK110_X19 )
          | ~ ( k04_buttercup10619 @ sK110_X19 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV135 )
        = $true )
      | ( ( b48_buttercup10111 @ SV135 )
        = $false )
      | ( ( k04_buttercup10619 @ sK113_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2798]) ).

thf(2899,plain,
    ! [SV97: $i] :
      ( ( ( ~ ( b48_buttercup10111 @ sK105_X19 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK108_X23 )
        = $true )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2800]) ).

thf(2900,plain,
    ! [SV97: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK105_X19 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK108_X23 )
        = $true )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2800]) ).

thf(2901,plain,
    ! [SV97: $i] :
      ( ( ( ~ ( b48_buttercup10111 @ sK105_X19 )
          | ~ ( k04_buttercup10619 @ sK105_X19 ) )
        = $false )
      | ( ( b48_buttercup10111 @ sK108_X23 )
        = $false )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2801]) ).

thf(2902,plain,
    ! [SV97: $i] :
      ( ( ( ~ ( b48_buttercup10111 @ sK105_X19 )
          | ~ ( k04_buttercup10619 @ sK105_X19 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK108_X23 )
        = $true )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2803]) ).

thf(2903,plain,
    ! [SV97: $i] :
      ( ( ( ~ ( ~ ( b48_buttercup10111 @ sK105_X19 )
              | ~ ( k04_buttercup10619 @ sK105_X19 ) ) )
        = $true )
      | ( ( b48_buttercup10111 @ sK108_X23 )
        = $false )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2805]) ).

thf(2904,plain,
    ! [SV97: $i] :
      ( ( ( k04_buttercup10619 @ sK106_SY210 )
        = $true )
      | ( ( b48_buttercup10111 @ sK108_X23 )
        = $false )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2806]) ).

thf(2905,plain,
    ! [SV69: $i,SV99: $i,SV115: $i] :
      ( ( ( b48_buttercup10102 @ sK48_X63 )
        = $true )
      | ( ( k04_buttercup10100 @ SV115 )
        = $true )
      | ( ( b48_buttercup10102 @ SV115 )
        = $false )
      | ( ( b48_buttercup10102 @ SV99 )
        = $true )
      | ( ( k04_buttercup10100 @ SV99 )
        = $false )
      | ( ( k04_buttercup10100 @ SV69 )
        = $false )
      | ( ( b48_buttercup10102 @ SV69 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2807]) ).

thf(2906,plain,
    ! [SV69: $i,SV99: $i,SV115: $i] :
      ( ( ( k04_buttercup10100 @ sK48_X63 )
        = $true )
      | ( ( k04_buttercup10100 @ SV115 )
        = $true )
      | ( ( b48_buttercup10102 @ SV115 )
        = $false )
      | ( ( b48_buttercup10102 @ SV99 )
        = $true )
      | ( ( k04_buttercup10100 @ SV99 )
        = $false )
      | ( ( k04_buttercup10100 @ SV69 )
        = $false )
      | ( ( b48_buttercup10102 @ SV69 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2808]) ).

thf(2907,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( b48_buttercup10102 @ sK44_X63 )
        = $true )
      | ( ( k04_buttercup10100 @ sK47_X67 )
        = $true )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2809]) ).

thf(2908,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( k04_buttercup10100 @ sK44_X63 )
        = $true )
      | ( ( k04_buttercup10100 @ sK47_X67 )
        = $true )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2810]) ).

thf(2909,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( ~ ( b48_buttercup10102 @ sK44_X63 ) )
        = $false )
      | ( ( b48_buttercup10102 @ sK47_X67 )
        = $false )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2811]) ).

thf(2910,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK44_X63 ) )
        = $false )
      | ( ( b48_buttercup10102 @ sK47_X67 )
        = $false )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2811]) ).

thf(2911,plain,
    ! [SV71: $i,SV116: $i] :
      ( ( ( b48_buttercup10102 @ sK40_X63 )
        = $true )
      | ( ( k04_buttercup10100 @ SV116 )
        = $true )
      | ( ( b48_buttercup10102 @ SV116 )
        = $false )
      | ( ( b48_buttercup10102 @ sK43_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2812]) ).

thf(2912,plain,
    ! [SV71: $i,SV116: $i] :
      ( ( ( k04_buttercup10100 @ sK40_X63 )
        = $true )
      | ( ( k04_buttercup10100 @ SV116 )
        = $true )
      | ( ( b48_buttercup10102 @ SV116 )
        = $false )
      | ( ( b48_buttercup10102 @ sK43_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2813]) ).

thf(2913,plain,
    ! [SV71: $i,SV129: $i] :
      ( ( ( ~ ( b48_buttercup10102 @ sK40_X63 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV129 )
        = $true )
      | ( ( b48_buttercup10102 @ SV129 )
        = $false )
      | ( ( k04_buttercup10100 @ sK43_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2814]) ).

thf(2914,plain,
    ! [SV71: $i,SV129: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK40_X63 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV129 )
        = $true )
      | ( ( b48_buttercup10102 @ SV129 )
        = $false )
      | ( ( k04_buttercup10100 @ sK43_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2814]) ).

thf(2915,plain,
    ! [SV72: $i] :
      ( ( ( b48_buttercup10102 @ sK35_X63 )
        = $true )
      | ( ( k04_buttercup10100 @ sK38_X67 )
        = $true )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2815]) ).

thf(2916,plain,
    ! [SV72: $i] :
      ( ( ( k04_buttercup10100 @ sK35_X63 )
        = $true )
      | ( ( k04_buttercup10100 @ sK38_X67 )
        = $true )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2816]) ).

thf(2917,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( b48_buttercup10102 @ sK35_X63 ) )
        = $false )
      | ( ( b48_buttercup10102 @ sK38_X67 )
        = $false )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2817]) ).

thf(2918,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK35_X63 ) )
        = $false )
      | ( ( b48_buttercup10102 @ sK38_X67 )
        = $false )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2817]) ).

thf(2919,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( b48_buttercup10102 @ sK35_X63 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK38_X67 )
        = $true )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2818]) ).

thf(2920,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK35_X63 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK38_X67 )
        = $true )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2818]) ).

thf(2921,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( b48_buttercup10102 @ sK35_X63 )
          | ~ ( k04_buttercup10100 @ sK35_X63 ) )
        = $false )
      | ( ( b48_buttercup10102 @ sK38_X67 )
        = $false )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2819]) ).

thf(2922,plain,
    ! [SV74: $i,SV101: $i,SV117: $i] :
      ( ( ( b48_buttercup10109 @ sK101_X29 )
        = $true )
      | ( ( k04_buttercup10619 @ SV117 )
        = $true )
      | ( ( b48_buttercup10109 @ SV117 )
        = $false )
      | ( ( b48_buttercup10109 @ SV101 )
        = $true )
      | ( ( k04_buttercup10619 @ SV101 )
        = $false )
      | ( ( k04_buttercup10619 @ SV74 )
        = $false )
      | ( ( b48_buttercup10109 @ SV74 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2821]) ).

thf(2923,plain,
    ! [SV74: $i,SV101: $i,SV117: $i] :
      ( ( ( k04_buttercup10619 @ sK101_X29 )
        = $true )
      | ( ( k04_buttercup10619 @ SV117 )
        = $true )
      | ( ( b48_buttercup10109 @ SV117 )
        = $false )
      | ( ( b48_buttercup10109 @ SV101 )
        = $true )
      | ( ( k04_buttercup10619 @ SV101 )
        = $false )
      | ( ( k04_buttercup10619 @ SV74 )
        = $false )
      | ( ( b48_buttercup10109 @ SV74 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2822]) ).

thf(2924,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( b48_buttercup10109 @ sK97_X29 )
        = $true )
      | ( ( k04_buttercup10619 @ sK100_X33 )
        = $true )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2823]) ).

thf(2925,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( k04_buttercup10619 @ sK97_X29 )
        = $true )
      | ( ( k04_buttercup10619 @ sK100_X33 )
        = $true )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2824]) ).

thf(2926,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( ~ ( b48_buttercup10109 @ sK97_X29 ) )
        = $false )
      | ( ( b48_buttercup10109 @ sK100_X33 )
        = $false )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2825]) ).

thf(2927,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK97_X29 ) )
        = $false )
      | ( ( b48_buttercup10109 @ sK100_X33 )
        = $false )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2825]) ).

thf(2928,plain,
    ! [SV76: $i,SV118: $i] :
      ( ( ( b48_buttercup10109 @ sK93_X29 )
        = $true )
      | ( ( k04_buttercup10619 @ SV118 )
        = $true )
      | ( ( b48_buttercup10109 @ SV118 )
        = $false )
      | ( ( b48_buttercup10109 @ sK96_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2826]) ).

thf(2929,plain,
    ! [SV76: $i,SV118: $i] :
      ( ( ( k04_buttercup10619 @ sK93_X29 )
        = $true )
      | ( ( k04_buttercup10619 @ SV118 )
        = $true )
      | ( ( b48_buttercup10109 @ SV118 )
        = $false )
      | ( ( b48_buttercup10109 @ sK96_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2827]) ).

thf(2930,plain,
    ! [SV76: $i,SV130: $i] :
      ( ( ( ~ ( b48_buttercup10109 @ sK93_X29 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV130 )
        = $true )
      | ( ( b48_buttercup10109 @ SV130 )
        = $false )
      | ( ( k04_buttercup10619 @ sK96_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2828]) ).

thf(2931,plain,
    ! [SV76: $i,SV130: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK93_X29 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV130 )
        = $true )
      | ( ( b48_buttercup10109 @ SV130 )
        = $false )
      | ( ( k04_buttercup10619 @ sK96_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2828]) ).

thf(2932,plain,
    ! [SV77: $i] :
      ( ( ( b48_buttercup10109 @ sK88_X29 )
        = $true )
      | ( ( k04_buttercup10619 @ sK91_X33 )
        = $true )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2829]) ).

thf(2933,plain,
    ! [SV77: $i] :
      ( ( ( k04_buttercup10619 @ sK88_X29 )
        = $true )
      | ( ( k04_buttercup10619 @ sK91_X33 )
        = $true )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2830]) ).

thf(2934,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( b48_buttercup10109 @ sK88_X29 ) )
        = $false )
      | ( ( b48_buttercup10109 @ sK91_X33 )
        = $false )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2831]) ).

thf(2935,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK88_X29 ) )
        = $false )
      | ( ( b48_buttercup10109 @ sK91_X33 )
        = $false )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2831]) ).

thf(2936,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( b48_buttercup10109 @ sK88_X29 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK91_X33 )
        = $true )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2832]) ).

thf(2937,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK88_X29 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK91_X33 )
        = $true )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2832]) ).

thf(2938,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( b48_buttercup10109 @ sK88_X29 )
          | ~ ( k04_buttercup10619 @ sK88_X29 ) )
        = $false )
      | ( ( b48_buttercup10109 @ sK91_X33 )
        = $false )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2833]) ).

thf(2939,plain,
    ! [SV78: $i,SV103: $i,SV119: $i] :
      ( ( ( b48_buttercup10107 @ sK31_X74 )
        = $true )
      | ( ( k04_buttercup10100 @ SV119 )
        = $true )
      | ( ( b48_buttercup10107 @ SV119 )
        = $false )
      | ( ( b48_buttercup10107 @ SV103 )
        = $true )
      | ( ( k04_buttercup10100 @ SV103 )
        = $false )
      | ( ( k04_buttercup10100 @ SV78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV78 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2835]) ).

thf(2940,plain,
    ! [SV78: $i,SV103: $i,SV119: $i] :
      ( ( ( k04_buttercup10100 @ sK31_X74 )
        = $true )
      | ( ( k04_buttercup10100 @ SV119 )
        = $true )
      | ( ( b48_buttercup10107 @ SV119 )
        = $false )
      | ( ( b48_buttercup10107 @ SV103 )
        = $true )
      | ( ( k04_buttercup10100 @ SV103 )
        = $false )
      | ( ( k04_buttercup10100 @ SV78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV78 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2836]) ).

thf(2941,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( b48_buttercup10107 @ sK27_X74 )
        = $true )
      | ( ( k04_buttercup10100 @ sK30_X78 )
        = $true )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2837]) ).

thf(2942,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( k04_buttercup10100 @ sK27_X74 )
        = $true )
      | ( ( k04_buttercup10100 @ sK30_X78 )
        = $true )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2838]) ).

thf(2943,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( ~ ( b48_buttercup10107 @ sK27_X74 ) )
        = $false )
      | ( ( b48_buttercup10107 @ sK30_X78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2839]) ).

thf(2944,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK27_X74 ) )
        = $false )
      | ( ( b48_buttercup10107 @ sK30_X78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2839]) ).

thf(2945,plain,
    ! [SV80: $i,SV120: $i] :
      ( ( ( b48_buttercup10107 @ sK23_X74 )
        = $true )
      | ( ( k04_buttercup10100 @ SV120 )
        = $true )
      | ( ( b48_buttercup10107 @ SV120 )
        = $false )
      | ( ( b48_buttercup10107 @ sK26_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2840]) ).

thf(2946,plain,
    ! [SV80: $i,SV120: $i] :
      ( ( ( k04_buttercup10100 @ sK23_X74 )
        = $true )
      | ( ( k04_buttercup10100 @ SV120 )
        = $true )
      | ( ( b48_buttercup10107 @ SV120 )
        = $false )
      | ( ( b48_buttercup10107 @ sK26_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2841]) ).

thf(2947,plain,
    ! [SV80: $i,SV131: $i] :
      ( ( ( ~ ( b48_buttercup10107 @ sK23_X74 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV131 )
        = $true )
      | ( ( b48_buttercup10107 @ SV131 )
        = $false )
      | ( ( k04_buttercup10100 @ sK26_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2842]) ).

thf(2948,plain,
    ! [SV80: $i,SV131: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK23_X74 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV131 )
        = $true )
      | ( ( b48_buttercup10107 @ SV131 )
        = $false )
      | ( ( k04_buttercup10100 @ sK26_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2842]) ).

thf(2949,plain,
    ! [SV81: $i] :
      ( ( ( b48_buttercup10107 @ sK18_X74 )
        = $true )
      | ( ( k04_buttercup10100 @ sK21_X78 )
        = $true )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2843]) ).

thf(2950,plain,
    ! [SV81: $i] :
      ( ( ( k04_buttercup10100 @ sK18_X74 )
        = $true )
      | ( ( k04_buttercup10100 @ sK21_X78 )
        = $true )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2844]) ).

thf(2951,plain,
    ! [SV81: $i] :
      ( ( ( ~ ( b48_buttercup10107 @ sK18_X74 ) )
        = $false )
      | ( ( b48_buttercup10107 @ sK21_X78 )
        = $false )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2845]) ).

thf(2952,plain,
    ! [SV81: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK18_X74 ) )
        = $false )
      | ( ( b48_buttercup10107 @ sK21_X78 )
        = $false )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2845]) ).

thf(2953,plain,
    ! [SV81: $i] :
      ( ( ( ~ ( b48_buttercup10107 @ sK18_X74 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK21_X78 )
        = $true )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2846]) ).

thf(2954,plain,
    ! [SV81: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK18_X74 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK21_X78 )
        = $true )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2846]) ).

thf(2955,plain,
    ! [SV81: $i] :
      ( ( ( ~ ( b48_buttercup10107 @ sK18_X74 )
          | ~ ( k04_buttercup10100 @ sK18_X74 ) )
        = $false )
      | ( ( b48_buttercup10107 @ sK21_X78 )
        = $false )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2847]) ).

thf(2956,plain,
    ! [SV82: $i,SV105: $i,SV121: $i] :
      ( ( ( b48_buttercup10104 @ sK135_X9 )
        = $true )
      | ( ( k04_buttercup10100 @ SV121 )
        = $true )
      | ( ( b48_buttercup10104 @ SV121 )
        = $false )
      | ( ( b48_buttercup10104 @ SV105 )
        = $true )
      | ( ( k04_buttercup10100 @ SV105 )
        = $false )
      | ( ( k04_buttercup10100 @ SV82 )
        = $false )
      | ( ( b48_buttercup10104 @ SV82 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2849]) ).

thf(2957,plain,
    ! [SV82: $i,SV105: $i,SV121: $i] :
      ( ( ( k04_buttercup10100 @ sK135_X9 )
        = $true )
      | ( ( k04_buttercup10100 @ SV121 )
        = $true )
      | ( ( b48_buttercup10104 @ SV121 )
        = $false )
      | ( ( b48_buttercup10104 @ SV105 )
        = $true )
      | ( ( k04_buttercup10100 @ SV105 )
        = $false )
      | ( ( k04_buttercup10100 @ SV82 )
        = $false )
      | ( ( b48_buttercup10104 @ SV82 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2850]) ).

thf(2958,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( b48_buttercup10104 @ sK131_X9 )
        = $true )
      | ( ( k04_buttercup10100 @ sK134_X13 )
        = $true )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2851]) ).

thf(2959,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( k04_buttercup10100 @ sK131_X9 )
        = $true )
      | ( ( k04_buttercup10100 @ sK134_X13 )
        = $true )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2852]) ).

thf(2960,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( ~ ( b48_buttercup10104 @ sK131_X9 ) )
        = $false )
      | ( ( b48_buttercup10104 @ sK134_X13 )
        = $false )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2853]) ).

thf(2961,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK131_X9 ) )
        = $false )
      | ( ( b48_buttercup10104 @ sK134_X13 )
        = $false )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2853]) ).

thf(2962,plain,
    ! [SV84: $i,SV122: $i] :
      ( ( ( b48_buttercup10104 @ sK127_X9 )
        = $true )
      | ( ( k04_buttercup10100 @ SV122 )
        = $true )
      | ( ( b48_buttercup10104 @ SV122 )
        = $false )
      | ( ( b48_buttercup10104 @ sK130_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2854]) ).

thf(2963,plain,
    ! [SV84: $i,SV122: $i] :
      ( ( ( k04_buttercup10100 @ sK127_X9 )
        = $true )
      | ( ( k04_buttercup10100 @ SV122 )
        = $true )
      | ( ( b48_buttercup10104 @ SV122 )
        = $false )
      | ( ( b48_buttercup10104 @ sK130_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2855]) ).

thf(2964,plain,
    ! [SV84: $i,SV132: $i] :
      ( ( ( ~ ( b48_buttercup10104 @ sK127_X9 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV132 )
        = $true )
      | ( ( b48_buttercup10104 @ SV132 )
        = $false )
      | ( ( k04_buttercup10100 @ sK130_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2856]) ).

thf(2965,plain,
    ! [SV84: $i,SV132: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK127_X9 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV132 )
        = $true )
      | ( ( b48_buttercup10104 @ SV132 )
        = $false )
      | ( ( k04_buttercup10100 @ sK130_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2856]) ).

thf(2966,plain,
    ! [SV85: $i] :
      ( ( ( b48_buttercup10104 @ sK122_X9 )
        = $true )
      | ( ( k04_buttercup10100 @ sK125_X13 )
        = $true )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2857]) ).

thf(2967,plain,
    ! [SV85: $i] :
      ( ( ( k04_buttercup10100 @ sK122_X9 )
        = $true )
      | ( ( k04_buttercup10100 @ sK125_X13 )
        = $true )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2858]) ).

thf(2968,plain,
    ! [SV85: $i] :
      ( ( ( ~ ( b48_buttercup10104 @ sK122_X9 ) )
        = $false )
      | ( ( b48_buttercup10104 @ sK125_X13 )
        = $false )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2859]) ).

thf(2969,plain,
    ! [SV85: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK122_X9 ) )
        = $false )
      | ( ( b48_buttercup10104 @ sK125_X13 )
        = $false )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2859]) ).

thf(2970,plain,
    ! [SV85: $i] :
      ( ( ( ~ ( b48_buttercup10104 @ sK122_X9 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK125_X13 )
        = $true )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2860]) ).

thf(2971,plain,
    ! [SV85: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK122_X9 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK125_X13 )
        = $true )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2860]) ).

thf(2972,plain,
    ! [SV85: $i] :
      ( ( ( ~ ( b48_buttercup10104 @ sK122_X9 )
          | ~ ( k04_buttercup10100 @ sK122_X9 ) )
        = $false )
      | ( ( b48_buttercup10104 @ sK125_X13 )
        = $false )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2861]) ).

thf(2973,plain,
    ! [SV86: $i,SV107: $i,SV123: $i] :
      ( ( ( b48_buttercup10110 @ sK68_X47 )
        = $true )
      | ( ( k04_buttercup10100 @ SV123 )
        = $true )
      | ( ( b48_buttercup10110 @ SV123 )
        = $false )
      | ( ( b48_buttercup10110 @ SV107 )
        = $true )
      | ( ( k04_buttercup10100 @ SV107 )
        = $false )
      | ( ( k04_buttercup10100 @ SV86 )
        = $false )
      | ( ( b48_buttercup10110 @ SV86 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2863]) ).

thf(2974,plain,
    ! [SV86: $i,SV107: $i,SV123: $i] :
      ( ( ( k04_buttercup10100 @ sK68_X47 )
        = $true )
      | ( ( k04_buttercup10100 @ SV123 )
        = $true )
      | ( ( b48_buttercup10110 @ SV123 )
        = $false )
      | ( ( b48_buttercup10110 @ SV107 )
        = $true )
      | ( ( k04_buttercup10100 @ SV107 )
        = $false )
      | ( ( k04_buttercup10100 @ SV86 )
        = $false )
      | ( ( b48_buttercup10110 @ SV86 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2864]) ).

thf(2975,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( b48_buttercup10110 @ sK64_X47 )
        = $true )
      | ( ( k04_buttercup10100 @ sK67_X51 )
        = $true )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2865]) ).

thf(2976,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( k04_buttercup10100 @ sK64_X47 )
        = $true )
      | ( ( k04_buttercup10100 @ sK67_X51 )
        = $true )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2866]) ).

thf(2977,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( ~ ( b48_buttercup10110 @ sK64_X47 ) )
        = $false )
      | ( ( b48_buttercup10110 @ sK67_X51 )
        = $false )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2867]) ).

thf(2978,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK64_X47 ) )
        = $false )
      | ( ( b48_buttercup10110 @ sK67_X51 )
        = $false )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2867]) ).

thf(2979,plain,
    ! [SV88: $i,SV124: $i] :
      ( ( ( b48_buttercup10110 @ sK60_X47 )
        = $true )
      | ( ( k04_buttercup10100 @ SV124 )
        = $true )
      | ( ( b48_buttercup10110 @ SV124 )
        = $false )
      | ( ( b48_buttercup10110 @ sK63_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2868]) ).

thf(2980,plain,
    ! [SV88: $i,SV124: $i] :
      ( ( ( k04_buttercup10100 @ sK60_X47 )
        = $true )
      | ( ( k04_buttercup10100 @ SV124 )
        = $true )
      | ( ( b48_buttercup10110 @ SV124 )
        = $false )
      | ( ( b48_buttercup10110 @ sK63_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2869]) ).

thf(2981,plain,
    ! [SV88: $i,SV133: $i] :
      ( ( ( ~ ( b48_buttercup10110 @ sK60_X47 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV133 )
        = $true )
      | ( ( b48_buttercup10110 @ SV133 )
        = $false )
      | ( ( k04_buttercup10100 @ sK63_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2870]) ).

thf(2982,plain,
    ! [SV88: $i,SV133: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK60_X47 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV133 )
        = $true )
      | ( ( b48_buttercup10110 @ SV133 )
        = $false )
      | ( ( k04_buttercup10100 @ sK63_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2870]) ).

thf(2983,plain,
    ! [SV89: $i] :
      ( ( ( b48_buttercup10110 @ sK55_X47 )
        = $true )
      | ( ( k04_buttercup10100 @ sK58_X51 )
        = $true )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2871]) ).

thf(2984,plain,
    ! [SV89: $i] :
      ( ( ( k04_buttercup10100 @ sK55_X47 )
        = $true )
      | ( ( k04_buttercup10100 @ sK58_X51 )
        = $true )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2872]) ).

thf(2985,plain,
    ! [SV89: $i] :
      ( ( ( ~ ( b48_buttercup10110 @ sK55_X47 ) )
        = $false )
      | ( ( b48_buttercup10110 @ sK58_X51 )
        = $false )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2873]) ).

thf(2986,plain,
    ! [SV89: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK55_X47 ) )
        = $false )
      | ( ( b48_buttercup10110 @ sK58_X51 )
        = $false )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2873]) ).

thf(2987,plain,
    ! [SV89: $i] :
      ( ( ( ~ ( b48_buttercup10110 @ sK55_X47 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK58_X51 )
        = $true )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2874]) ).

thf(2988,plain,
    ! [SV89: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK55_X47 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK58_X51 )
        = $true )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2874]) ).

thf(2989,plain,
    ! [SV89: $i] :
      ( ( ( ~ ( b48_buttercup10110 @ sK55_X47 )
          | ~ ( k04_buttercup10100 @ sK55_X47 ) )
        = $false )
      | ( ( b48_buttercup10110 @ sK58_X51 )
        = $false )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2875]) ).

thf(2990,plain,
    ! [SV90: $i,SV109: $i,SV125: $i] :
      ( ( ( b48_buttercup10108 @ sK84_X39 )
        = $true )
      | ( ( k04_buttercup10100 @ SV125 )
        = $true )
      | ( ( b48_buttercup10108 @ SV125 )
        = $false )
      | ( ( b48_buttercup10108 @ SV109 )
        = $true )
      | ( ( k04_buttercup10100 @ SV109 )
        = $false )
      | ( ( k04_buttercup10100 @ SV90 )
        = $false )
      | ( ( b48_buttercup10108 @ SV90 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2877]) ).

thf(2991,plain,
    ! [SV90: $i,SV109: $i,SV125: $i] :
      ( ( ( k04_buttercup10100 @ sK84_X39 )
        = $true )
      | ( ( k04_buttercup10100 @ SV125 )
        = $true )
      | ( ( b48_buttercup10108 @ SV125 )
        = $false )
      | ( ( b48_buttercup10108 @ SV109 )
        = $true )
      | ( ( k04_buttercup10100 @ SV109 )
        = $false )
      | ( ( k04_buttercup10100 @ SV90 )
        = $false )
      | ( ( b48_buttercup10108 @ SV90 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2878]) ).

thf(2992,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( b48_buttercup10108 @ sK80_X39 )
        = $true )
      | ( ( k04_buttercup10100 @ sK83_X43 )
        = $true )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2879]) ).

thf(2993,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( k04_buttercup10100 @ sK80_X39 )
        = $true )
      | ( ( k04_buttercup10100 @ sK83_X43 )
        = $true )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2880]) ).

thf(2994,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( ~ ( b48_buttercup10108 @ sK80_X39 ) )
        = $false )
      | ( ( b48_buttercup10108 @ sK83_X43 )
        = $false )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2881]) ).

thf(2995,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK80_X39 ) )
        = $false )
      | ( ( b48_buttercup10108 @ sK83_X43 )
        = $false )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2881]) ).

thf(2996,plain,
    ! [SV92: $i,SV126: $i] :
      ( ( ( b48_buttercup10108 @ sK76_X39 )
        = $true )
      | ( ( k04_buttercup10100 @ SV126 )
        = $true )
      | ( ( b48_buttercup10108 @ SV126 )
        = $false )
      | ( ( b48_buttercup10108 @ sK79_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2882]) ).

thf(2997,plain,
    ! [SV92: $i,SV126: $i] :
      ( ( ( k04_buttercup10100 @ sK76_X39 )
        = $true )
      | ( ( k04_buttercup10100 @ SV126 )
        = $true )
      | ( ( b48_buttercup10108 @ SV126 )
        = $false )
      | ( ( b48_buttercup10108 @ sK79_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2883]) ).

thf(2998,plain,
    ! [SV92: $i,SV134: $i] :
      ( ( ( ~ ( b48_buttercup10108 @ sK76_X39 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV134 )
        = $true )
      | ( ( b48_buttercup10108 @ SV134 )
        = $false )
      | ( ( k04_buttercup10100 @ sK79_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2884]) ).

thf(2999,plain,
    ! [SV92: $i,SV134: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK76_X39 ) )
        = $false )
      | ( ( k04_buttercup10100 @ SV134 )
        = $true )
      | ( ( b48_buttercup10108 @ SV134 )
        = $false )
      | ( ( k04_buttercup10100 @ sK79_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2884]) ).

thf(3000,plain,
    ! [SV93: $i] :
      ( ( ( b48_buttercup10108 @ sK71_X39 )
        = $true )
      | ( ( k04_buttercup10100 @ sK74_X43 )
        = $true )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2885]) ).

thf(3001,plain,
    ! [SV93: $i] :
      ( ( ( k04_buttercup10100 @ sK71_X39 )
        = $true )
      | ( ( k04_buttercup10100 @ sK74_X43 )
        = $true )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2886]) ).

thf(3002,plain,
    ! [SV93: $i] :
      ( ( ( ~ ( b48_buttercup10108 @ sK71_X39 ) )
        = $false )
      | ( ( b48_buttercup10108 @ sK74_X43 )
        = $false )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2887]) ).

thf(3003,plain,
    ! [SV93: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK71_X39 ) )
        = $false )
      | ( ( b48_buttercup10108 @ sK74_X43 )
        = $false )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2887]) ).

thf(3004,plain,
    ! [SV93: $i] :
      ( ( ( ~ ( b48_buttercup10108 @ sK71_X39 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK74_X43 )
        = $true )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2888]) ).

thf(3005,plain,
    ! [SV93: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK71_X39 ) )
        = $false )
      | ( ( k04_buttercup10100 @ sK74_X43 )
        = $true )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2888]) ).

thf(3006,plain,
    ! [SV93: $i] :
      ( ( ( ~ ( b48_buttercup10108 @ sK71_X39 )
          | ~ ( k04_buttercup10100 @ sK71_X39 ) )
        = $false )
      | ( ( b48_buttercup10108 @ sK74_X43 )
        = $false )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2889]) ).

thf(3007,plain,
    ! [SV94: $i,SV111: $i,SV127: $i] :
      ( ( ( b48_buttercup10111 @ sK118_X19 )
        = $true )
      | ( ( k04_buttercup10619 @ SV127 )
        = $true )
      | ( ( b48_buttercup10111 @ SV127 )
        = $false )
      | ( ( b48_buttercup10111 @ SV111 )
        = $true )
      | ( ( k04_buttercup10619 @ SV111 )
        = $false )
      | ( ( k04_buttercup10619 @ SV94 )
        = $false )
      | ( ( b48_buttercup10111 @ SV94 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2891]) ).

thf(3008,plain,
    ! [SV94: $i,SV111: $i,SV127: $i] :
      ( ( ( k04_buttercup10619 @ sK118_X19 )
        = $true )
      | ( ( k04_buttercup10619 @ SV127 )
        = $true )
      | ( ( b48_buttercup10111 @ SV127 )
        = $false )
      | ( ( b48_buttercup10111 @ SV111 )
        = $true )
      | ( ( k04_buttercup10619 @ SV111 )
        = $false )
      | ( ( k04_buttercup10619 @ SV94 )
        = $false )
      | ( ( b48_buttercup10111 @ SV94 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2892]) ).

thf(3009,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( b48_buttercup10111 @ sK114_X19 )
        = $true )
      | ( ( k04_buttercup10619 @ sK117_X23 )
        = $true )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2893]) ).

thf(3010,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( k04_buttercup10619 @ sK114_X19 )
        = $true )
      | ( ( k04_buttercup10619 @ sK117_X23 )
        = $true )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2894]) ).

thf(3011,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( ~ ( b48_buttercup10111 @ sK114_X19 ) )
        = $false )
      | ( ( b48_buttercup10111 @ sK117_X23 )
        = $false )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2895]) ).

thf(3012,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK114_X19 ) )
        = $false )
      | ( ( b48_buttercup10111 @ sK117_X23 )
        = $false )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2895]) ).

thf(3013,plain,
    ! [SV96: $i,SV128: $i] :
      ( ( ( b48_buttercup10111 @ sK110_X19 )
        = $true )
      | ( ( k04_buttercup10619 @ SV128 )
        = $true )
      | ( ( b48_buttercup10111 @ SV128 )
        = $false )
      | ( ( b48_buttercup10111 @ sK113_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2896]) ).

thf(3014,plain,
    ! [SV96: $i,SV128: $i] :
      ( ( ( k04_buttercup10619 @ sK110_X19 )
        = $true )
      | ( ( k04_buttercup10619 @ SV128 )
        = $true )
      | ( ( b48_buttercup10111 @ SV128 )
        = $false )
      | ( ( b48_buttercup10111 @ sK113_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2897]) ).

thf(3015,plain,
    ! [SV96: $i,SV135: $i] :
      ( ( ( ~ ( b48_buttercup10111 @ sK110_X19 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV135 )
        = $true )
      | ( ( b48_buttercup10111 @ SV135 )
        = $false )
      | ( ( k04_buttercup10619 @ sK113_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2898]) ).

thf(3016,plain,
    ! [SV96: $i,SV135: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK110_X19 ) )
        = $false )
      | ( ( k04_buttercup10619 @ SV135 )
        = $true )
      | ( ( b48_buttercup10111 @ SV135 )
        = $false )
      | ( ( k04_buttercup10619 @ sK113_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2898]) ).

thf(3017,plain,
    ! [SV97: $i] :
      ( ( ( b48_buttercup10111 @ sK105_X19 )
        = $true )
      | ( ( k04_buttercup10619 @ sK108_X23 )
        = $true )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2899]) ).

thf(3018,plain,
    ! [SV97: $i] :
      ( ( ( k04_buttercup10619 @ sK105_X19 )
        = $true )
      | ( ( k04_buttercup10619 @ sK108_X23 )
        = $true )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2900]) ).

thf(3019,plain,
    ! [SV97: $i] :
      ( ( ( ~ ( b48_buttercup10111 @ sK105_X19 ) )
        = $false )
      | ( ( b48_buttercup10111 @ sK108_X23 )
        = $false )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2901]) ).

thf(3020,plain,
    ! [SV97: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK105_X19 ) )
        = $false )
      | ( ( b48_buttercup10111 @ sK108_X23 )
        = $false )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2901]) ).

thf(3021,plain,
    ! [SV97: $i] :
      ( ( ( ~ ( b48_buttercup10111 @ sK105_X19 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK108_X23 )
        = $true )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2902]) ).

thf(3022,plain,
    ! [SV97: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK105_X19 ) )
        = $false )
      | ( ( k04_buttercup10619 @ sK108_X23 )
        = $true )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2902]) ).

thf(3023,plain,
    ! [SV97: $i] :
      ( ( ( ~ ( b48_buttercup10111 @ sK105_X19 )
          | ~ ( k04_buttercup10619 @ sK105_X19 ) )
        = $false )
      | ( ( b48_buttercup10111 @ sK108_X23 )
        = $false )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[2903]) ).

thf(3024,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( b48_buttercup10102 @ sK44_X63 )
        = $true )
      | ( ( b48_buttercup10102 @ sK47_X67 )
        = $false )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2909]) ).

thf(3025,plain,
    ! [SV70: $i,SV100: $i] :
      ( ( ( k04_buttercup10100 @ sK44_X63 )
        = $true )
      | ( ( b48_buttercup10102 @ sK47_X67 )
        = $false )
      | ( ( b48_buttercup10102 @ SV100 )
        = $true )
      | ( ( k04_buttercup10100 @ SV100 )
        = $false )
      | ( ( k04_buttercup10100 @ SV70 )
        = $false )
      | ( ( b48_buttercup10102 @ SV70 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2910]) ).

thf(3026,plain,
    ! [SV71: $i,SV129: $i] :
      ( ( ( b48_buttercup10102 @ sK40_X63 )
        = $true )
      | ( ( k04_buttercup10100 @ SV129 )
        = $true )
      | ( ( b48_buttercup10102 @ SV129 )
        = $false )
      | ( ( k04_buttercup10100 @ sK43_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2913]) ).

thf(3027,plain,
    ! [SV71: $i,SV129: $i] :
      ( ( ( k04_buttercup10100 @ sK40_X63 )
        = $true )
      | ( ( k04_buttercup10100 @ SV129 )
        = $true )
      | ( ( b48_buttercup10102 @ SV129 )
        = $false )
      | ( ( k04_buttercup10100 @ sK43_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV71 )
        = $false )
      | ( ( b48_buttercup10102 @ SV71 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2914]) ).

thf(3028,plain,
    ! [SV72: $i] :
      ( ( ( b48_buttercup10102 @ sK35_X63 )
        = $true )
      | ( ( b48_buttercup10102 @ sK38_X67 )
        = $false )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2917]) ).

thf(3029,plain,
    ! [SV72: $i] :
      ( ( ( k04_buttercup10100 @ sK35_X63 )
        = $true )
      | ( ( b48_buttercup10102 @ sK38_X67 )
        = $false )
      | ( ( b48_buttercup10102 @ sK39_X69 )
        = $true )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2918]) ).

thf(3030,plain,
    ! [SV72: $i] :
      ( ( ( b48_buttercup10102 @ sK35_X63 )
        = $true )
      | ( ( k04_buttercup10100 @ sK38_X67 )
        = $true )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2919]) ).

thf(3031,plain,
    ! [SV72: $i] :
      ( ( ( k04_buttercup10100 @ sK35_X63 )
        = $true )
      | ( ( k04_buttercup10100 @ sK38_X67 )
        = $true )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2920]) ).

thf(3032,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( b48_buttercup10102 @ sK35_X63 ) )
        = $false )
      | ( ( b48_buttercup10102 @ sK38_X67 )
        = $false )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2921]) ).

thf(3033,plain,
    ! [SV72: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK35_X63 ) )
        = $false )
      | ( ( b48_buttercup10102 @ sK38_X67 )
        = $false )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2921]) ).

thf(3034,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( b48_buttercup10109 @ sK97_X29 )
        = $true )
      | ( ( b48_buttercup10109 @ sK100_X33 )
        = $false )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2926]) ).

thf(3035,plain,
    ! [SV75: $i,SV102: $i] :
      ( ( ( k04_buttercup10619 @ sK97_X29 )
        = $true )
      | ( ( b48_buttercup10109 @ sK100_X33 )
        = $false )
      | ( ( b48_buttercup10109 @ SV102 )
        = $true )
      | ( ( k04_buttercup10619 @ SV102 )
        = $false )
      | ( ( k04_buttercup10619 @ SV75 )
        = $false )
      | ( ( b48_buttercup10109 @ SV75 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2927]) ).

thf(3036,plain,
    ! [SV76: $i,SV130: $i] :
      ( ( ( b48_buttercup10109 @ sK93_X29 )
        = $true )
      | ( ( k04_buttercup10619 @ SV130 )
        = $true )
      | ( ( b48_buttercup10109 @ SV130 )
        = $false )
      | ( ( k04_buttercup10619 @ sK96_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2930]) ).

thf(3037,plain,
    ! [SV76: $i,SV130: $i] :
      ( ( ( k04_buttercup10619 @ sK93_X29 )
        = $true )
      | ( ( k04_buttercup10619 @ SV130 )
        = $true )
      | ( ( b48_buttercup10109 @ SV130 )
        = $false )
      | ( ( k04_buttercup10619 @ sK96_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV76 )
        = $false )
      | ( ( b48_buttercup10109 @ SV76 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2931]) ).

thf(3038,plain,
    ! [SV77: $i] :
      ( ( ( b48_buttercup10109 @ sK88_X29 )
        = $true )
      | ( ( b48_buttercup10109 @ sK91_X33 )
        = $false )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2934]) ).

thf(3039,plain,
    ! [SV77: $i] :
      ( ( ( k04_buttercup10619 @ sK88_X29 )
        = $true )
      | ( ( b48_buttercup10109 @ sK91_X33 )
        = $false )
      | ( ( b48_buttercup10109 @ sK92_X35 )
        = $true )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2935]) ).

thf(3040,plain,
    ! [SV77: $i] :
      ( ( ( b48_buttercup10109 @ sK88_X29 )
        = $true )
      | ( ( k04_buttercup10619 @ sK91_X33 )
        = $true )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2936]) ).

thf(3041,plain,
    ! [SV77: $i] :
      ( ( ( k04_buttercup10619 @ sK88_X29 )
        = $true )
      | ( ( k04_buttercup10619 @ sK91_X33 )
        = $true )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2937]) ).

thf(3042,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( b48_buttercup10109 @ sK88_X29 ) )
        = $false )
      | ( ( b48_buttercup10109 @ sK91_X33 )
        = $false )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2938]) ).

thf(3043,plain,
    ! [SV77: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK88_X29 ) )
        = $false )
      | ( ( b48_buttercup10109 @ sK91_X33 )
        = $false )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2938]) ).

thf(3044,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( b48_buttercup10107 @ sK27_X74 )
        = $true )
      | ( ( b48_buttercup10107 @ sK30_X78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2943]) ).

thf(3045,plain,
    ! [SV79: $i,SV104: $i] :
      ( ( ( k04_buttercup10100 @ sK27_X74 )
        = $true )
      | ( ( b48_buttercup10107 @ sK30_X78 )
        = $false )
      | ( ( b48_buttercup10107 @ SV104 )
        = $true )
      | ( ( k04_buttercup10100 @ SV104 )
        = $false )
      | ( ( k04_buttercup10100 @ SV79 )
        = $false )
      | ( ( b48_buttercup10107 @ SV79 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2944]) ).

thf(3046,plain,
    ! [SV80: $i,SV131: $i] :
      ( ( ( b48_buttercup10107 @ sK23_X74 )
        = $true )
      | ( ( k04_buttercup10100 @ SV131 )
        = $true )
      | ( ( b48_buttercup10107 @ SV131 )
        = $false )
      | ( ( k04_buttercup10100 @ sK26_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2947]) ).

thf(3047,plain,
    ! [SV80: $i,SV131: $i] :
      ( ( ( k04_buttercup10100 @ sK23_X74 )
        = $true )
      | ( ( k04_buttercup10100 @ SV131 )
        = $true )
      | ( ( b48_buttercup10107 @ SV131 )
        = $false )
      | ( ( k04_buttercup10100 @ sK26_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV80 )
        = $false )
      | ( ( b48_buttercup10107 @ SV80 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2948]) ).

thf(3048,plain,
    ! [SV81: $i] :
      ( ( ( b48_buttercup10107 @ sK18_X74 )
        = $true )
      | ( ( b48_buttercup10107 @ sK21_X78 )
        = $false )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2951]) ).

thf(3049,plain,
    ! [SV81: $i] :
      ( ( ( k04_buttercup10100 @ sK18_X74 )
        = $true )
      | ( ( b48_buttercup10107 @ sK21_X78 )
        = $false )
      | ( ( b48_buttercup10107 @ sK22_X80 )
        = $true )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2952]) ).

thf(3050,plain,
    ! [SV81: $i] :
      ( ( ( b48_buttercup10107 @ sK18_X74 )
        = $true )
      | ( ( k04_buttercup10100 @ sK21_X78 )
        = $true )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2953]) ).

thf(3051,plain,
    ! [SV81: $i] :
      ( ( ( k04_buttercup10100 @ sK18_X74 )
        = $true )
      | ( ( k04_buttercup10100 @ sK21_X78 )
        = $true )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2954]) ).

thf(3052,plain,
    ! [SV81: $i] :
      ( ( ( ~ ( b48_buttercup10107 @ sK18_X74 ) )
        = $false )
      | ( ( b48_buttercup10107 @ sK21_X78 )
        = $false )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2955]) ).

thf(3053,plain,
    ! [SV81: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK18_X74 ) )
        = $false )
      | ( ( b48_buttercup10107 @ sK21_X78 )
        = $false )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2955]) ).

thf(3054,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( b48_buttercup10104 @ sK131_X9 )
        = $true )
      | ( ( b48_buttercup10104 @ sK134_X13 )
        = $false )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2960]) ).

thf(3055,plain,
    ! [SV83: $i,SV106: $i] :
      ( ( ( k04_buttercup10100 @ sK131_X9 )
        = $true )
      | ( ( b48_buttercup10104 @ sK134_X13 )
        = $false )
      | ( ( b48_buttercup10104 @ SV106 )
        = $true )
      | ( ( k04_buttercup10100 @ SV106 )
        = $false )
      | ( ( k04_buttercup10100 @ SV83 )
        = $false )
      | ( ( b48_buttercup10104 @ SV83 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2961]) ).

thf(3056,plain,
    ! [SV84: $i,SV132: $i] :
      ( ( ( b48_buttercup10104 @ sK127_X9 )
        = $true )
      | ( ( k04_buttercup10100 @ SV132 )
        = $true )
      | ( ( b48_buttercup10104 @ SV132 )
        = $false )
      | ( ( k04_buttercup10100 @ sK130_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2964]) ).

thf(3057,plain,
    ! [SV84: $i,SV132: $i] :
      ( ( ( k04_buttercup10100 @ sK127_X9 )
        = $true )
      | ( ( k04_buttercup10100 @ SV132 )
        = $true )
      | ( ( b48_buttercup10104 @ SV132 )
        = $false )
      | ( ( k04_buttercup10100 @ sK130_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV84 )
        = $false )
      | ( ( b48_buttercup10104 @ SV84 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2965]) ).

thf(3058,plain,
    ! [SV85: $i] :
      ( ( ( b48_buttercup10104 @ sK122_X9 )
        = $true )
      | ( ( b48_buttercup10104 @ sK125_X13 )
        = $false )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2968]) ).

thf(3059,plain,
    ! [SV85: $i] :
      ( ( ( k04_buttercup10100 @ sK122_X9 )
        = $true )
      | ( ( b48_buttercup10104 @ sK125_X13 )
        = $false )
      | ( ( b48_buttercup10104 @ sK126_X15 )
        = $true )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2969]) ).

thf(3060,plain,
    ! [SV85: $i] :
      ( ( ( b48_buttercup10104 @ sK122_X9 )
        = $true )
      | ( ( k04_buttercup10100 @ sK125_X13 )
        = $true )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2970]) ).

thf(3061,plain,
    ! [SV85: $i] :
      ( ( ( k04_buttercup10100 @ sK122_X9 )
        = $true )
      | ( ( k04_buttercup10100 @ sK125_X13 )
        = $true )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2971]) ).

thf(3062,plain,
    ! [SV85: $i] :
      ( ( ( ~ ( b48_buttercup10104 @ sK122_X9 ) )
        = $false )
      | ( ( b48_buttercup10104 @ sK125_X13 )
        = $false )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2972]) ).

thf(3063,plain,
    ! [SV85: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK122_X9 ) )
        = $false )
      | ( ( b48_buttercup10104 @ sK125_X13 )
        = $false )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2972]) ).

thf(3064,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( b48_buttercup10110 @ sK64_X47 )
        = $true )
      | ( ( b48_buttercup10110 @ sK67_X51 )
        = $false )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2977]) ).

thf(3065,plain,
    ! [SV87: $i,SV108: $i] :
      ( ( ( k04_buttercup10100 @ sK64_X47 )
        = $true )
      | ( ( b48_buttercup10110 @ sK67_X51 )
        = $false )
      | ( ( b48_buttercup10110 @ SV108 )
        = $true )
      | ( ( k04_buttercup10100 @ SV108 )
        = $false )
      | ( ( k04_buttercup10100 @ SV87 )
        = $false )
      | ( ( b48_buttercup10110 @ SV87 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2978]) ).

thf(3066,plain,
    ! [SV88: $i,SV133: $i] :
      ( ( ( b48_buttercup10110 @ sK60_X47 )
        = $true )
      | ( ( k04_buttercup10100 @ SV133 )
        = $true )
      | ( ( b48_buttercup10110 @ SV133 )
        = $false )
      | ( ( k04_buttercup10100 @ sK63_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2981]) ).

thf(3067,plain,
    ! [SV88: $i,SV133: $i] :
      ( ( ( k04_buttercup10100 @ sK60_X47 )
        = $true )
      | ( ( k04_buttercup10100 @ SV133 )
        = $true )
      | ( ( b48_buttercup10110 @ SV133 )
        = $false )
      | ( ( k04_buttercup10100 @ sK63_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV88 )
        = $false )
      | ( ( b48_buttercup10110 @ SV88 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2982]) ).

thf(3068,plain,
    ! [SV89: $i] :
      ( ( ( b48_buttercup10110 @ sK55_X47 )
        = $true )
      | ( ( b48_buttercup10110 @ sK58_X51 )
        = $false )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2985]) ).

thf(3069,plain,
    ! [SV89: $i] :
      ( ( ( k04_buttercup10100 @ sK55_X47 )
        = $true )
      | ( ( b48_buttercup10110 @ sK58_X51 )
        = $false )
      | ( ( b48_buttercup10110 @ sK59_X53 )
        = $true )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2986]) ).

thf(3070,plain,
    ! [SV89: $i] :
      ( ( ( b48_buttercup10110 @ sK55_X47 )
        = $true )
      | ( ( k04_buttercup10100 @ sK58_X51 )
        = $true )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2987]) ).

thf(3071,plain,
    ! [SV89: $i] :
      ( ( ( k04_buttercup10100 @ sK55_X47 )
        = $true )
      | ( ( k04_buttercup10100 @ sK58_X51 )
        = $true )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2988]) ).

thf(3072,plain,
    ! [SV89: $i] :
      ( ( ( ~ ( b48_buttercup10110 @ sK55_X47 ) )
        = $false )
      | ( ( b48_buttercup10110 @ sK58_X51 )
        = $false )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2989]) ).

thf(3073,plain,
    ! [SV89: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK55_X47 ) )
        = $false )
      | ( ( b48_buttercup10110 @ sK58_X51 )
        = $false )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[2989]) ).

thf(3074,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( b48_buttercup10108 @ sK80_X39 )
        = $true )
      | ( ( b48_buttercup10108 @ sK83_X43 )
        = $false )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2994]) ).

thf(3075,plain,
    ! [SV91: $i,SV110: $i] :
      ( ( ( k04_buttercup10100 @ sK80_X39 )
        = $true )
      | ( ( b48_buttercup10108 @ sK83_X43 )
        = $false )
      | ( ( b48_buttercup10108 @ SV110 )
        = $true )
      | ( ( k04_buttercup10100 @ SV110 )
        = $false )
      | ( ( k04_buttercup10100 @ SV91 )
        = $false )
      | ( ( b48_buttercup10108 @ SV91 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2995]) ).

thf(3076,plain,
    ! [SV92: $i,SV134: $i] :
      ( ( ( b48_buttercup10108 @ sK76_X39 )
        = $true )
      | ( ( k04_buttercup10100 @ SV134 )
        = $true )
      | ( ( b48_buttercup10108 @ SV134 )
        = $false )
      | ( ( k04_buttercup10100 @ sK79_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2998]) ).

thf(3077,plain,
    ! [SV92: $i,SV134: $i] :
      ( ( ( k04_buttercup10100 @ sK76_X39 )
        = $true )
      | ( ( k04_buttercup10100 @ SV134 )
        = $true )
      | ( ( b48_buttercup10108 @ SV134 )
        = $false )
      | ( ( k04_buttercup10100 @ sK79_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV92 )
        = $false )
      | ( ( b48_buttercup10108 @ SV92 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[2999]) ).

thf(3078,plain,
    ! [SV93: $i] :
      ( ( ( b48_buttercup10108 @ sK71_X39 )
        = $true )
      | ( ( b48_buttercup10108 @ sK74_X43 )
        = $false )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3002]) ).

thf(3079,plain,
    ! [SV93: $i] :
      ( ( ( k04_buttercup10100 @ sK71_X39 )
        = $true )
      | ( ( b48_buttercup10108 @ sK74_X43 )
        = $false )
      | ( ( b48_buttercup10108 @ sK75_X45 )
        = $true )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3003]) ).

thf(3080,plain,
    ! [SV93: $i] :
      ( ( ( b48_buttercup10108 @ sK71_X39 )
        = $true )
      | ( ( k04_buttercup10100 @ sK74_X43 )
        = $true )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3004]) ).

thf(3081,plain,
    ! [SV93: $i] :
      ( ( ( k04_buttercup10100 @ sK71_X39 )
        = $true )
      | ( ( k04_buttercup10100 @ sK74_X43 )
        = $true )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3005]) ).

thf(3082,plain,
    ! [SV93: $i] :
      ( ( ( ~ ( b48_buttercup10108 @ sK71_X39 ) )
        = $false )
      | ( ( b48_buttercup10108 @ sK74_X43 )
        = $false )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3006]) ).

thf(3083,plain,
    ! [SV93: $i] :
      ( ( ( ~ ( k04_buttercup10100 @ sK71_X39 ) )
        = $false )
      | ( ( b48_buttercup10108 @ sK74_X43 )
        = $false )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3006]) ).

thf(3084,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( b48_buttercup10111 @ sK114_X19 )
        = $true )
      | ( ( b48_buttercup10111 @ sK117_X23 )
        = $false )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3011]) ).

thf(3085,plain,
    ! [SV95: $i,SV112: $i] :
      ( ( ( k04_buttercup10619 @ sK114_X19 )
        = $true )
      | ( ( b48_buttercup10111 @ sK117_X23 )
        = $false )
      | ( ( b48_buttercup10111 @ SV112 )
        = $true )
      | ( ( k04_buttercup10619 @ SV112 )
        = $false )
      | ( ( k04_buttercup10619 @ SV95 )
        = $false )
      | ( ( b48_buttercup10111 @ SV95 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3012]) ).

thf(3086,plain,
    ! [SV96: $i,SV135: $i] :
      ( ( ( b48_buttercup10111 @ sK110_X19 )
        = $true )
      | ( ( k04_buttercup10619 @ SV135 )
        = $true )
      | ( ( b48_buttercup10111 @ SV135 )
        = $false )
      | ( ( k04_buttercup10619 @ sK113_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3015]) ).

thf(3087,plain,
    ! [SV96: $i,SV135: $i] :
      ( ( ( k04_buttercup10619 @ sK110_X19 )
        = $true )
      | ( ( k04_buttercup10619 @ SV135 )
        = $true )
      | ( ( b48_buttercup10111 @ SV135 )
        = $false )
      | ( ( k04_buttercup10619 @ sK113_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV96 )
        = $false )
      | ( ( b48_buttercup10111 @ SV96 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3016]) ).

thf(3088,plain,
    ! [SV97: $i] :
      ( ( ( b48_buttercup10111 @ sK105_X19 )
        = $true )
      | ( ( b48_buttercup10111 @ sK108_X23 )
        = $false )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3019]) ).

thf(3089,plain,
    ! [SV97: $i] :
      ( ( ( k04_buttercup10619 @ sK105_X19 )
        = $true )
      | ( ( b48_buttercup10111 @ sK108_X23 )
        = $false )
      | ( ( b48_buttercup10111 @ sK109_X25 )
        = $true )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3020]) ).

thf(3090,plain,
    ! [SV97: $i] :
      ( ( ( b48_buttercup10111 @ sK105_X19 )
        = $true )
      | ( ( k04_buttercup10619 @ sK108_X23 )
        = $true )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3021]) ).

thf(3091,plain,
    ! [SV97: $i] :
      ( ( ( k04_buttercup10619 @ sK105_X19 )
        = $true )
      | ( ( k04_buttercup10619 @ sK108_X23 )
        = $true )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3022]) ).

thf(3092,plain,
    ! [SV97: $i] :
      ( ( ( ~ ( b48_buttercup10111 @ sK105_X19 ) )
        = $false )
      | ( ( b48_buttercup10111 @ sK108_X23 )
        = $false )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3023]) ).

thf(3093,plain,
    ! [SV97: $i] :
      ( ( ( ~ ( k04_buttercup10619 @ sK105_X19 ) )
        = $false )
      | ( ( b48_buttercup10111 @ sK108_X23 )
        = $false )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[3023]) ).

thf(3094,plain,
    ! [SV72: $i] :
      ( ( ( b48_buttercup10102 @ sK35_X63 )
        = $true )
      | ( ( b48_buttercup10102 @ sK38_X67 )
        = $false )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3032]) ).

thf(3095,plain,
    ! [SV72: $i] :
      ( ( ( k04_buttercup10100 @ sK35_X63 )
        = $true )
      | ( ( b48_buttercup10102 @ sK38_X67 )
        = $false )
      | ( ( k04_buttercup10100 @ sK39_X69 )
        = $false )
      | ( ( k04_buttercup10100 @ SV72 )
        = $false )
      | ( ( b48_buttercup10102 @ SV72 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3033]) ).

thf(3096,plain,
    ! [SV77: $i] :
      ( ( ( b48_buttercup10109 @ sK88_X29 )
        = $true )
      | ( ( b48_buttercup10109 @ sK91_X33 )
        = $false )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3042]) ).

thf(3097,plain,
    ! [SV77: $i] :
      ( ( ( k04_buttercup10619 @ sK88_X29 )
        = $true )
      | ( ( b48_buttercup10109 @ sK91_X33 )
        = $false )
      | ( ( k04_buttercup10619 @ sK92_X35 )
        = $false )
      | ( ( k04_buttercup10619 @ SV77 )
        = $false )
      | ( ( b48_buttercup10109 @ SV77 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3043]) ).

thf(3098,plain,
    ! [SV81: $i] :
      ( ( ( b48_buttercup10107 @ sK18_X74 )
        = $true )
      | ( ( b48_buttercup10107 @ sK21_X78 )
        = $false )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3052]) ).

thf(3099,plain,
    ! [SV81: $i] :
      ( ( ( k04_buttercup10100 @ sK18_X74 )
        = $true )
      | ( ( b48_buttercup10107 @ sK21_X78 )
        = $false )
      | ( ( k04_buttercup10100 @ sK22_X80 )
        = $false )
      | ( ( k04_buttercup10100 @ SV81 )
        = $false )
      | ( ( b48_buttercup10107 @ SV81 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3053]) ).

thf(3100,plain,
    ! [SV85: $i] :
      ( ( ( b48_buttercup10104 @ sK122_X9 )
        = $true )
      | ( ( b48_buttercup10104 @ sK125_X13 )
        = $false )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3062]) ).

thf(3101,plain,
    ! [SV85: $i] :
      ( ( ( k04_buttercup10100 @ sK122_X9 )
        = $true )
      | ( ( b48_buttercup10104 @ sK125_X13 )
        = $false )
      | ( ( k04_buttercup10100 @ sK126_X15 )
        = $false )
      | ( ( k04_buttercup10100 @ SV85 )
        = $false )
      | ( ( b48_buttercup10104 @ SV85 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3063]) ).

thf(3102,plain,
    ! [SV89: $i] :
      ( ( ( b48_buttercup10110 @ sK55_X47 )
        = $true )
      | ( ( b48_buttercup10110 @ sK58_X51 )
        = $false )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3072]) ).

thf(3103,plain,
    ! [SV89: $i] :
      ( ( ( k04_buttercup10100 @ sK55_X47 )
        = $true )
      | ( ( b48_buttercup10110 @ sK58_X51 )
        = $false )
      | ( ( k04_buttercup10100 @ sK59_X53 )
        = $false )
      | ( ( k04_buttercup10100 @ SV89 )
        = $false )
      | ( ( b48_buttercup10110 @ SV89 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3073]) ).

thf(3104,plain,
    ! [SV93: $i] :
      ( ( ( b48_buttercup10108 @ sK71_X39 )
        = $true )
      | ( ( b48_buttercup10108 @ sK74_X43 )
        = $false )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3082]) ).

thf(3105,plain,
    ! [SV93: $i] :
      ( ( ( k04_buttercup10100 @ sK71_X39 )
        = $true )
      | ( ( b48_buttercup10108 @ sK74_X43 )
        = $false )
      | ( ( k04_buttercup10100 @ sK75_X45 )
        = $false )
      | ( ( k04_buttercup10100 @ SV93 )
        = $false )
      | ( ( b48_buttercup10108 @ SV93 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3083]) ).

thf(3106,plain,
    ! [SV97: $i] :
      ( ( ( b48_buttercup10111 @ sK105_X19 )
        = $true )
      | ( ( b48_buttercup10111 @ sK108_X23 )
        = $false )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3092]) ).

thf(3107,plain,
    ! [SV97: $i] :
      ( ( ( k04_buttercup10619 @ sK105_X19 )
        = $true )
      | ( ( b48_buttercup10111 @ sK108_X23 )
        = $false )
      | ( ( k04_buttercup10619 @ sK109_X25 )
        = $false )
      | ( ( k04_buttercup10619 @ SV97 )
        = $false )
      | ( ( b48_buttercup10111 @ SV97 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[3093]) ).

thf(3108,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[286,3107,3106,3105,3104,3103,3102,3101,3100,3099,3098,3097,3096,3095,3094,3091,3090,3089,3088,3087,3086,3085,3084,3081,3080,3079,3078,3077,3076,3075,3074,3071,3070,3069,3068,3067,3066,3065,3064,3061,3060,3059,3058,3057,3056,3055,3054,3051,3050,3049,3048,3047,3046,3045,3044,3041,3040,3039,3038,3037,3036,3035,3034,3031,3030,3029,3028,3027,3026,3025,3024,3018,3017,3014,3013,3010,3009,3008,3007,3001,3000,2997,2996,2993,2992,2991,2990,2984,2983,2980,2979,2976,2975,2974,2973,2967,2966,2963,2962,2959,2958,2957,2956,2950,2949,2946,2945,2942,2941,2940,2939,2933,2932,2929,2928,2925,2924,2923,2922,2916,2915,2912,2911,2908,2907,2906,2905,2904,2890,2876,2862,2848,2834,2820,2804,2802,2799,2796,2790,2788,2785,2782,2776,2774,2771,2768,2762,2760,2757,2754,2748,2746,2743,2740,2734,2732,2729,2726,2720,2718,2715,2712,2708,2702,2698,2694,2692,2690,2684,2680,2676,2674,2672,2666,2662,2658,2656,2654,2648,2644,2640,2638,2636,2630,2626,2622,2620,2618,2612,2608,2604,2602,2600,2594,2590,2586,2584,2580,2578,2574,2570,2562,2560,2556,2552,2544,2542,2538,2534,2526,2524,2520,2516,2508,2506,2502,2498,2490,2488,2484,2480,2472,2470,2466,2462,2450,2446,2442,2440,2432,2428,2424,2422,2414,2410,2406,2404,2396,2392,2388,2386,2378,2374,2370,2368,2360,2356,2352,2350,2342,2338,2334,2332,2330,2312,2294,2276,2258,2240,2222,2202,2200,2196,2192,2184,2182,2178,2174,2166,2164,2160,2156,2148,2146,2142,2138,2130,2128,2124,2120,2112,2110,2106,2102,2094,2092,2088,2084,2072,2068,2064,2062,2054,2050,2046,2044,2036,2032,2028,2026,2018,2014,2010,2008,2000,1996,1992,1990,1982,1978,1974,1972,1964,1960,1956,1954,1833,1819,1805,1791,1777,1763,1749,1733,1731,1728,1725,1719,1717,1714,1711,1705,1703,1700,1697,1691,1689,1686,1683,1677,1675,1672,1669,1663,1661,1658,1655,1649,1647,1644,1641,1632,1628,1624,1622,1615,1611,1607,1605,1598,1594,1590,1588,1581,1577,1573,1571,1564,1560,1556,1554,1547,1543,1539,1537,1530,1526,1522,1520,1253,1252,1251,1205,1203,1157,1154,891,854,853,836,835,834,833,828,825,814,813,811,810,792,791,789,788,786,785,783,782,776,775,774,773,770,769,767,766,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,623,622,621,620,537,536,535,534,533,532,531,530,529,297,296,295,294,293,292,291,290,289,288,287]) ).

thf(3109,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[3108]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SYO578+1 : TPTP v8.1.0. Released v5.5.0.
% 0.04/0.13  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34  % Computer : n009.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sat Jul  9 06:34:37 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.37  ..
% 0.19/0.39  
% 0.19/0.39   No.of.Axioms: 85
% 0.19/0.39  
% 0.19/0.39   Length.of.Defs: 0
% 0.19/0.39  
% 0.19/0.39   Contains.Choice.Funs: false
% 0.19/0.42  ..
% 0.19/0.44  (rf:0,axioms:85,ps:3,u:6,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:87,loop_count:0,foatp_calls:0,translation:fof_full)..............................................................................................
% 1.00/1.20  
% 1.00/1.20  ********************************
% 1.00/1.20  *   All subproblems solved!    *
% 1.00/1.20  ********************************
% 1.00/1.20  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:85,ps:3,u:6,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:3108,loop_count:0,foatp_calls:1,translation:fof_full)
% 5.56/5.82  
% 5.56/5.82  %**** Beginning of derivation protocol ****
% 5.56/5.82  % SZS output start CNFRefutation
% See solution above
% 5.65/5.84  
% 5.65/5.84  %**** End of derivation protocol ****
% 5.65/5.84  %**** no. of clauses in derivation: 3109 ****
% 5.65/5.84  %**** clause counter: 3108 ****
% 5.65/5.84  
% 5.65/5.84  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:85,ps:3,u:6,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:3108,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------