↑ Up

LEO-II---2.3.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : LEO-II---2.3.1
% Problem  : SYO208^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Oct  7 11:07:50 AM UTC 2026

% Result   : Theorem 11.47s 2.26s
% Output   : CNFRefutation 11.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   36
%            Number of leaves      :    1
% Syntax   : Number of formulae    :  846 (  48 unt;   0 typ;   0 def)
%            Number of atoms       : 7830 (2847 equ;   0 cnn)
%            Maximal formula atoms :    4 (   9 avg)
%            Number of connectives : 11923 (2028   ~;1954   |;   0   &;7941   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :  690 ( 690   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  107 ( 104 usr;  34 con; 0-4 aty)
%            Number of variables   : 3000 (1602   ^;1390   !;   8   ?;3000   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_a,type,
    a: $tType ).

thf(tp_sK100_E,type,
    sK100_E: a ).

thf(tp_sK101_E,type,
    sK101_E: a > a > ( a > a ) > a ).

thf(tp_sK102_E,type,
    sK102_E: a ).

thf(tp_sK103_E,type,
    sK103_E: a ).

thf(tp_sK104_E,type,
    sK104_E: a > ( a > a ) > a ).

thf(tp_sK10_SV54,type,
    sK10_SV54: ( a > $o ) > a ).

thf(tp_sK11_SV55,type,
    sK11_SV55: a > a ).

thf(tp_sK12_SV56,type,
    sK12_SV56: a > a ).

thf(tp_sK13_SV57,type,
    sK13_SV57: a > a ).

thf(tp_sK14_SV58,type,
    sK14_SV58: a > a ).

thf(tp_sK15_SV59,type,
    sK15_SV59: a > a ).

thf(tp_sK16_SV60,type,
    sK16_SV60: a > a ).

thf(tp_sK17_SV61,type,
    sK17_SV61: a > a ).

thf(tp_sK18_SV62,type,
    sK18_SV62: a > a ).

thf(tp_sK19_SV63,type,
    sK19_SV63: a > ( a > $o ) > a ).

thf(tp_sK1_Xg,type,
    sK1_Xg: a > a > $o ).

thf(tp_sK20_SV64,type,
    sK20_SV64: a > ( a > $o ) > a ).

thf(tp_sK21_SV65,type,
    sK21_SV65: a > a ).

thf(tp_sK22_SV66,type,
    sK22_SV66: a > a ).

thf(tp_sK23_SV67,type,
    sK23_SV67: a > ( a > $o ) > a ).

thf(tp_sK24_SV68,type,
    sK24_SV68: a > a ).

thf(tp_sK25_SV69,type,
    sK25_SV69: a > a ).

thf(tp_sK26_SV70,type,
    sK26_SV70: a > a ).

thf(tp_sK27_SV71,type,
    sK27_SV71: a > a ).

thf(tp_sK28_SV72,type,
    sK28_SV72: a ).

thf(tp_sK29_SV73,type,
    sK29_SV73: a ).

thf(tp_sK2_SY4,type,
    sK2_SY4: ( a > $o ) > a ).

thf(tp_sK30_SV77,type,
    sK30_SV77: a > ( a > $o ) > a ).

thf(tp_sK31_SV78,type,
    sK31_SV78: a > ( a > $o ) > a ).

thf(tp_sK32_SV79,type,
    sK32_SV79: a > ( a > $o ) > a ).

thf(tp_sK33_SV80,type,
    sK33_SV80: a > ( a > $o ) > a ).

thf(tp_sK34_SV81,type,
    sK34_SV81: a > ( a > $o ) > a ).

thf(tp_sK35_E,type,
    sK35_E: a ).

thf(tp_sK36_E,type,
    sK36_E: a ).

thf(tp_sK37_E,type,
    sK37_E: ( a > $o ) > a ).

thf(tp_sK38_E,type,
    sK38_E: a ).

thf(tp_sK39_E,type,
    sK39_E: a ).

thf(tp_sK3_SV2,type,
    sK3_SV2: ( a > $o ) > a ).

thf(tp_sK40_E,type,
    sK40_E: ( a > $o ) > a ).

thf(tp_sK41_E,type,
    sK41_E: a > a ).

thf(tp_sK42_E,type,
    sK42_E: a > a ).

thf(tp_sK43_E,type,
    sK43_E: a > a ).

thf(tp_sK44_E,type,
    sK44_E: a > a ).

thf(tp_sK45_E,type,
    sK45_E: a > ( a > $o ) > a ).

thf(tp_sK46_E,type,
    sK46_E: a > ( a > $o ) > a ).

thf(tp_sK47_E,type,
    sK47_E: a > a ).

thf(tp_sK48_E,type,
    sK48_E: a > a ).

thf(tp_sK49_E,type,
    sK49_E: a > a ).

thf(tp_sK4_SV27,type,
    sK4_SV27: ( a > $o ) > a ).

thf(tp_sK50_E,type,
    sK50_E: a > a ).

thf(tp_sK51_E,type,
    sK51_E: a > ( a > $o ) > a ).

thf(tp_sK52_E,type,
    sK52_E: a > ( a > $o ) > a ).

thf(tp_sK53_E,type,
    sK53_E: a > a ).

thf(tp_sK54_E,type,
    sK54_E: a > a ).

thf(tp_sK55_E,type,
    sK55_E: a > ( a > $o ) > a ).

thf(tp_sK56_E,type,
    sK56_E: a > a ).

thf(tp_sK57_E,type,
    sK57_E: a > a ).

thf(tp_sK58_E,type,
    sK58_E: a > ( a > $o ) > a ).

thf(tp_sK59_E,type,
    sK59_E: a > a ).

thf(tp_sK5_SV46,type,
    sK5_SV46: a ).

thf(tp_sK60_E,type,
    sK60_E: a > a ).

thf(tp_sK61_E,type,
    sK61_E: a > ( a > $o ) > a ).

thf(tp_sK62_E,type,
    sK62_E: a ).

thf(tp_sK63_E,type,
    sK63_E: a ).

thf(tp_sK64_E,type,
    sK64_E: a > ( a > $o ) > a ).

thf(tp_sK65_SV86,type,
    sK65_SV86: ( a > $o ) > a ).

thf(tp_sK66_E,type,
    sK66_E: a ).

thf(tp_sK67_E,type,
    sK67_E: a ).

thf(tp_sK68_E,type,
    sK68_E: a > a > a ).

thf(tp_sK69_E,type,
    sK69_E: a ).

thf(tp_sK6_SV48,type,
    sK6_SV48: a ).

thf(tp_sK70_E,type,
    sK70_E: a ).

thf(tp_sK71_E,type,
    sK71_E: a ).

thf(tp_sK72_E,type,
    sK72_E: a ).

thf(tp_sK73_E,type,
    sK73_E: a ).

thf(tp_sK74_E,type,
    sK74_E: a ).

thf(tp_sK75_E,type,
    sK75_E: a ).

thf(tp_sK76_E,type,
    sK76_E: a ).

thf(tp_sK77_E,type,
    sK77_E: a ).

thf(tp_sK78_E,type,
    sK78_E: a ).

thf(tp_sK79_E,type,
    sK79_E: a > ( a > a ) > a > ( a > a > $o ) > a ).

thf(tp_sK7_SV50,type,
    sK7_SV50: ( a > $o ) > a ).

thf(tp_sK80_E,type,
    sK80_E: a ).

thf(tp_sK81_E,type,
    sK81_E: ( a > a > $o ) > a ).

thf(tp_sK82_E,type,
    sK82_E: ( a > a ) > a > ( a > a > $o ) > a ).

thf(tp_sK83_E,type,
    sK83_E: a > ( a > a > $o ) > a ).

thf(tp_sK84_E,type,
    sK84_E: ( a > a > $o ) > a > ( a > a > $o ) > a ).

thf(tp_sK85_E,type,
    sK85_E: a ).

thf(tp_sK86_E,type,
    sK86_E: ( a > a > $o ) > a ).

thf(tp_sK87_E,type,
    sK87_E: ( a > a ) > a > ( a > a > $o ) > a ).

thf(tp_sK88_E,type,
    sK88_E: a > ( a > a > $o ) > a ).

thf(tp_sK89_E,type,
    sK89_E: ( a > a > $o ) > a > ( a > a > $o ) > a ).

thf(tp_sK8_SV52,type,
    sK8_SV52: a ).

thf(tp_sK90_E,type,
    sK90_E: ( a > a > $o ) > a ).

thf(tp_sK91_E,type,
    sK91_E: ( a > a > a ) > ( a > a > a > a > $o ) > a ).

thf(tp_sK92_E,type,
    sK92_E: ( a > a > a ) > ( a > a > a > a > $o ) > a ).

thf(tp_sK93_E,type,
    sK93_E: ( a > a ) > a > ( a > a > $o ) > a ).

thf(tp_sK94_E,type,
    sK94_E: ( a > a > a ) > ( a > a ) > a > ( a > a > a > $o ) > a ).

thf(tp_sK95_E,type,
    sK95_E: ( a > a > $o ) > a ).

thf(tp_sK96_E,type,
    sK96_E: ( a > a ) > a > ( a > a > $o ) > a ).

thf(tp_sK97_E,type,
    sK97_E: a ).

thf(tp_sK98_E,type,
    sK98_E: a ).

thf(tp_sK99_E,type,
    sK99_E: a ).

thf(tp_sK9_SV53,type,
    sK9_SV53: a ).

thf(1,conjecture,
    ~ ? [Xg: a > a > $o] :
      ! [Xf: a > $o] :
      ? [Xj: a] :
        ( ( ( Xg @ Xj )
          = Xf )
        = ( Xf = Xf ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cCT31) ).

thf(2,negated_conjecture,
    ( ( ~ ? [Xg: a > a > $o] :
          ! [Xf: a > $o] :
          ? [Xj: a] :
            ( ( ( Xg @ Xj )
              = Xf )
            = ( Xf = Xf ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ( ( ~ ? [Xg: a > a > $o] :
          ! [Xf: a > $o] :
          ? [Xj: a] :
            ( ( ( Xg @ Xj )
              = Xf )
            = ( Xf = Xf ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(4,plain,
    ( ( ? [Xg: a > a > $o] :
        ! [Xf: a > $o] :
        ? [Xj: a] :
          ( ( ( Xg @ Xj )
            = Xf )
          = ( Xf = Xf ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[3]) ).

thf(5,plain,
    ( ( ! [SY3: a > $o] :
          ( ( ( sK1_Xg @ ( sK2_SY4 @ SY3 ) )
            = SY3 )
          = $true ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[4]) ).

thf(6,plain,
    ( ( ! [SY3: a > $o] :
          ( ( ( sK1_Xg @ ( sK2_SY4 @ SY3 ) )
            = SY3 )
          = $true ) )
    = $true ),
    inference(copy,[status(thm)],[5]) ).

thf(7,plain,
    ! [SV1: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
          = SV1 )
        = $true )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[6]) ).

thf(8,plain,
    ! [SV1: a > $o] :
      ( ( ~ ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
              = SV1 )
            | $true )
        | ~ ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
             != SV1 )
            | ~ $true ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[7]) ).

thf(9,plain,
    ! [SV1: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
          = SV1 )
        = $true )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[7]) ).

thf(10,plain,
    ! [SV1: a > $o] :
      ( ( ( ~ ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
                = SV1 )
              | $true ) )
        = $true )
      | ( ( ~ ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
               != SV1 )
              | ~ $true ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[8]) ).

thf(11,plain,
    ! [SV1: a > $o] :
      ( ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
            = SV1 )
          | $true )
        = $false )
      | ( ( ~ ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
               != SV1 )
              | ~ $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[10]) ).

thf(12,plain,
    ! [SV1: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
          = SV1 )
        = $false )
      | ( ( ~ ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
               != SV1 )
              | ~ $true ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[11]) ).

thf(13,plain,
    ! [SV1: a > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
               != SV1 )
              | ~ $true ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[11]) ).

thf(14,plain,
    ! [SV1: a > $o] :
      ( ( ( ! [SV2: a] :
              ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV2 )
              = ( SV1 @ SV2 ) ) )
        = $false )
      | ( ( ~ ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
               != SV1 )
              | ~ $true ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[12]) ).

thf(15,plain,
    ! [SV1: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
          = SV1 )
        = $false )
      | ( ( ~ ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
               != SV1 )
              | ~ $true ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[12]) ).

thf(16,plain,
    ! [SV1: a > $o] :
      ( ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
           != SV1 )
          | ~ $true )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[13]) ).

thf(17,plain,
    ! [SV1: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
          = ( SV1 @ ( sK3_SV2 @ SV1 ) ) )
        = $false )
      | ( ( ~ ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
               != SV1 )
              | ~ $true ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[14]) ).

thf(18,plain,
    ! [SV1: a > $o] :
      ( ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
           != SV1 )
          | ~ $true )
        = $false )
      | ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
          = SV1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[15]) ).

thf(19,plain,
    ! [SV1: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
         != SV1 )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[16]) ).

thf(21,plain,
    ! [SV1: a > $o] :
      ( ( ( ~ ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
              | ( SV1 @ ( sK3_SV2 @ SV1 ) ) )
          | ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
              | ~ ( SV1 @ ( sK3_SV2 @ SV1 ) ) ) )
        = $false )
      | ( ( ~ ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
               != SV1 )
              | ~ $true ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[17]) ).

thf(22,plain,
    ! [SV1: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
          = ( SV1 @ ( sK3_SV2 @ SV1 ) ) )
        = $false )
      | ( ( ~ ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
               != SV1 )
              | ~ $true ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[17]) ).

thf(23,plain,
    ! [SV1: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
         != SV1 )
        = $false )
      | ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
          = SV1 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[18]) ).

thf(25,plain,
    ! [SV1: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
          = SV1 )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[19]) ).

thf(27,plain,
    ! [SV1: a > $o] :
      ( ( ( ~ ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
              | ( SV1 @ ( sK3_SV2 @ SV1 ) ) ) )
        = $false )
      | ( ( ~ ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
               != SV1 )
              | ~ $true ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[21]) ).

thf(28,plain,
    ! [SV1: a > $o] :
      ( ( ( ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
              | ~ ( SV1 @ ( sK3_SV2 @ SV1 ) ) ) )
        = $false )
      | ( ( ~ ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
               != SV1 )
              | ~ $true ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[21]) ).

thf(29,plain,
    ! [SV1: a > $o] :
      ( ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
           != SV1 )
          | ~ $true )
        = $false )
      | ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
          = ( SV1 @ ( sK3_SV2 @ SV1 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[22]) ).

thf(30,plain,
    ! [SV1: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
          = SV1 )
        = $true )
      | ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
          = SV1 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[23]) ).

thf(32,plain,
    ! [SV1: a > $o] :
      ( ( ( ! [SV3: a] :
              ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV3 )
              = ( SV1 @ SV3 ) ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[25]) ).

thf(33,plain,
    ! [SV1: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
          = SV1 )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[25]) ).

thf(34,plain,
    ! [SV1: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
          | ( SV1 @ ( sK3_SV2 @ SV1 ) ) )
        = $true )
      | ( ( ~ ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
               != SV1 )
              | ~ $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[27]) ).

thf(35,plain,
    ! [SV1: a > $o] :
      ( ( ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
          | ~ ( SV1 @ ( sK3_SV2 @ SV1 ) ) )
        = $true )
      | ( ( ~ ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
               != SV1 )
              | ~ $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[28]) ).

thf(36,plain,
    ! [SV1: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
         != SV1 )
        = $false )
      | ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
          = ( SV1 @ ( sK3_SV2 @ SV1 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[29]) ).

thf(38,plain,
    ! [SV1: a > $o] :
      ( ( ( ! [SV4: a] :
              ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV4 )
              = ( SV1 @ SV4 ) ) )
        = $true )
      | ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
          = SV1 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[30]) ).

thf(39,plain,
    ! [SV1: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
          = SV1 )
        = $true )
      | ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
          = SV1 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[30]) ).

thf(40,plain,
    ! [SV5: a,SV1: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV5 )
          = ( SV1 @ SV5 ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[32]) ).

thf(41,plain,
    ! [SV1: a > $o] :
      ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK3_SV2 @ SV1 ) )
        = $true )
      | ( ( ~ ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
               != SV1 )
              | ~ $true ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[34]) ).

thf(42,plain,
    ! [SV1: a > $o] :
      ( ( ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) ) )
        = $true )
      | ( ( ~ ( SV1 @ ( sK3_SV2 @ SV1 ) ) )
        = $true )
      | ( ( ~ ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
               != SV1 )
              | ~ $true ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[35]) ).

thf(43,plain,
    ! [SV1: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
          = SV1 )
        = $true )
      | ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
          = ( SV1 @ ( sK3_SV2 @ SV1 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[36]) ).

thf(45,plain,
    ! [SV6: a,SV1: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV6 )
          = ( SV1 @ SV6 ) )
        = $true )
      | ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
          = SV1 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[38]) ).

thf(46,plain,
    ! [SV5: a,SV1: a > $o] :
      ( ( ( ~ ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV5 )
              | ( SV1 @ SV5 ) )
          | ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV5 )
              | ~ ( SV1 @ SV5 ) ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[40]) ).

thf(47,plain,
    ! [SV5: a,SV1: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV5 )
          = ( SV1 @ SV5 ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[40]) ).

thf(48,plain,
    ! [SV1: a > $o] :
      ( ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
           != SV1 )
          | ~ $true )
        = $false )
      | ( ( SV1 @ ( sK3_SV2 @ SV1 ) )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[41]) ).

thf(49,plain,
    ! [SV1: a > $o] :
      ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
        = $false )
      | ( ( ~ ( SV1 @ ( sK3_SV2 @ SV1 ) ) )
        = $true )
      | ( ( ~ ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
               != SV1 )
              | ~ $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[42]) ).

thf(50,plain,
    ! [SV1: a > $o] :
      ( ( ( ! [SV7: a] :
              ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV7 )
              = ( SV1 @ SV7 ) ) )
        = $true )
      | ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
          = ( SV1 @ ( sK3_SV2 @ SV1 ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[43]) ).

thf(51,plain,
    ! [SV1: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
          = SV1 )
        = $true )
      | ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
          = ( SV1 @ ( sK3_SV2 @ SV1 ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[43]) ).

thf(52,plain,
    ! [SV6: a,SV1: a > $o] :
      ( ( ( ~ ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV6 )
              | ( SV1 @ SV6 ) )
          | ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV6 )
              | ~ ( SV1 @ SV6 ) ) )
        = $true )
      | ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
          = SV1 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[45]) ).

thf(53,plain,
    ! [SV6: a,SV1: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV6 )
          = ( SV1 @ SV6 ) )
        = $true )
      | ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
          = SV1 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[45]) ).

thf(54,plain,
    ! [SV5: a,SV1: a > $o] :
      ( ( ( ~ ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV5 )
              | ( SV1 @ SV5 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV5 )
              | ~ ( SV1 @ SV5 ) ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[46]) ).

thf(55,plain,
    ! [SV1: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
         != SV1 )
        = $false )
      | ( ( SV1 @ ( sK3_SV2 @ SV1 ) )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[48]) ).

thf(57,plain,
    ! [SV1: a > $o] :
      ( ( ( SV1 @ ( sK3_SV2 @ SV1 ) )
        = $false )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
        = $false )
      | ( ( ~ ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
               != SV1 )
              | ~ $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[49]) ).

thf(58,plain,
    ! [SV8: a,SV1: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV8 )
          = ( SV1 @ SV8 ) )
        = $true )
      | ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
          = ( SV1 @ ( sK3_SV2 @ SV1 ) ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[50]) ).

thf(59,plain,
    ! [SV6: a,SV1: a > $o] :
      ( ( ( ~ ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV6 )
              | ( SV1 @ SV6 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV6 )
              | ~ ( SV1 @ SV6 ) ) )
        = $true )
      | ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
          = SV1 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[52]) ).

thf(60,plain,
    ! [SV5: a,SV1: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV5 )
          | ( SV1 @ SV5 ) )
        = $false )
      | ( ( ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV5 )
              | ~ ( SV1 @ SV5 ) ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[54]) ).

thf(61,plain,
    ! [SV1: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
          = SV1 )
        = $true )
      | ( ( SV1 @ ( sK3_SV2 @ SV1 ) )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[55]) ).

thf(63,plain,
    ! [SV1: a > $o] :
      ( ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
           != SV1 )
          | ~ $true )
        = $false )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SV2 @ SV1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[57]) ).

thf(64,plain,
    ! [SV8: a,SV1: a > $o] :
      ( ( ( ~ ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV8 )
              | ( SV1 @ SV8 ) )
          | ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV8 )
              | ~ ( SV1 @ SV8 ) ) )
        = $true )
      | ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
          = ( SV1 @ ( sK3_SV2 @ SV1 ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[58]) ).

thf(65,plain,
    ! [SV8: a,SV1: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV8 )
          = ( SV1 @ SV8 ) )
        = $true )
      | ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
          = ( SV1 @ ( sK3_SV2 @ SV1 ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[58]) ).

thf(66,plain,
    ! [SV6: a,SV1: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV6 )
          | ( SV1 @ SV6 ) )
        = $false )
      | ( ( ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV6 )
              | ~ ( SV1 @ SV6 ) ) )
        = $true )
      | ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
          = SV1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[59]) ).

thf(67,plain,
    ! [SV5: a,SV1: a > $o] :
      ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV5 )
        = $false )
      | ( ( ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV5 )
              | ~ ( SV1 @ SV5 ) ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[60]) ).

thf(68,plain,
    ! [SV5: a,SV1: a > $o] :
      ( ( ( SV1 @ SV5 )
        = $false )
      | ( ( ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV5 )
              | ~ ( SV1 @ SV5 ) ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[60]) ).

thf(69,plain,
    ! [SV1: a > $o] :
      ( ( ( ! [SV9: a] :
              ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV9 )
              = ( SV1 @ SV9 ) ) )
        = $true )
      | ( ( SV1 @ ( sK3_SV2 @ SV1 ) )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[61]) ).

thf(70,plain,
    ! [SV1: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
          = SV1 )
        = $true )
      | ( ( SV1 @ ( sK3_SV2 @ SV1 ) )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[61]) ).

thf(71,plain,
    ! [SV1: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
         != SV1 )
        = $false )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SV2 @ SV1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[63]) ).

thf(73,plain,
    ! [SV8: a,SV1: a > $o] :
      ( ( ( ~ ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV8 )
              | ( SV1 @ SV8 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV8 )
              | ~ ( SV1 @ SV8 ) ) )
        = $true )
      | ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
          = ( SV1 @ ( sK3_SV2 @ SV1 ) ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[64]) ).

thf(74,plain,
    ! [SV6: a,SV1: a > $o] :
      ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV6 )
        = $false )
      | ( ( ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV6 )
              | ~ ( SV1 @ SV6 ) ) )
        = $true )
      | ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
          = SV1 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[66]) ).

thf(75,plain,
    ! [SV6: a,SV1: a > $o] :
      ( ( ( SV1 @ SV6 )
        = $false )
      | ( ( ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV6 )
              | ~ ( SV1 @ SV6 ) ) )
        = $true )
      | ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
          = SV1 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[66]) ).

thf(76,plain,
    ! [SV5: a,SV1: a > $o] :
      ( ( ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV5 )
          | ~ ( SV1 @ SV5 ) )
        = $false )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV5 )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[67]) ).

thf(77,plain,
    ! [SV5: a,SV1: a > $o] :
      ( ( ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV5 )
          | ~ ( SV1 @ SV5 ) )
        = $false )
      | ( ( SV1 @ SV5 )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[68]) ).

thf(78,plain,
    ! [SV10: a,SV1: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV10 )
          = ( SV1 @ SV10 ) )
        = $true )
      | ( ( SV1 @ ( sK3_SV2 @ SV1 ) )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[69]) ).

thf(79,plain,
    ! [SV1: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
          = SV1 )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SV2 @ SV1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[71]) ).

thf(81,plain,
    ! [SV8: a,SV1: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV8 )
          | ( SV1 @ SV8 ) )
        = $false )
      | ( ( ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV8 )
              | ~ ( SV1 @ SV8 ) ) )
        = $true )
      | ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
          = ( SV1 @ ( sK3_SV2 @ SV1 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[73]) ).

thf(82,plain,
    ! [SV6: a,SV1: a > $o] :
      ( ( ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV6 )
          | ~ ( SV1 @ SV6 ) )
        = $false )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV6 )
        = $false )
      | ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
          = SV1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[74]) ).

thf(83,plain,
    ! [SV6: a,SV1: a > $o] :
      ( ( ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV6 )
          | ~ ( SV1 @ SV6 ) )
        = $false )
      | ( ( SV1 @ SV6 )
        = $false )
      | ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
          = SV1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[75]) ).

thf(85,plain,
    ! [SV5: a,SV1: a > $o] :
      ( ( ( ~ ( SV1 @ SV5 ) )
        = $false )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV5 )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[76]) ).

thf(86,plain,
    ! [SV5: a,SV1: a > $o] :
      ( ( ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV5 ) )
        = $false )
      | ( ( SV1 @ SV5 )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[77]) ).

thf(88,plain,
    ! [SV10: a,SV1: a > $o] :
      ( ( ( ~ ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV10 )
              | ( SV1 @ SV10 ) )
          | ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV10 )
              | ~ ( SV1 @ SV10 ) ) )
        = $true )
      | ( ( SV1 @ ( sK3_SV2 @ SV1 ) )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[78]) ).

thf(89,plain,
    ! [SV10: a,SV1: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV10 )
          = ( SV1 @ SV10 ) )
        = $true )
      | ( ( SV1 @ ( sK3_SV2 @ SV1 ) )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[78]) ).

thf(90,plain,
    ! [SV1: a > $o] :
      ( ( ( ! [SV11: a] :
              ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV11 )
              = ( SV1 @ SV11 ) ) )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SV2 @ SV1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[79]) ).

thf(91,plain,
    ! [SV1: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
          = SV1 )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SV2 @ SV1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[79]) ).

thf(92,plain,
    ! [SV8: a,SV1: a > $o] :
      ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV8 )
        = $false )
      | ( ( ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV8 )
              | ~ ( SV1 @ SV8 ) ) )
        = $true )
      | ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
          = ( SV1 @ ( sK3_SV2 @ SV1 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[81]) ).

thf(93,plain,
    ! [SV8: a,SV1: a > $o] :
      ( ( ( SV1 @ SV8 )
        = $false )
      | ( ( ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV8 )
              | ~ ( SV1 @ SV8 ) ) )
        = $true )
      | ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
          = ( SV1 @ ( sK3_SV2 @ SV1 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[81]) ).

thf(95,plain,
    ! [SV6: a,SV1: a > $o] :
      ( ( ( ~ ( SV1 @ SV6 ) )
        = $false )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV6 )
        = $false )
      | ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
          = SV1 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[82]) ).

thf(96,plain,
    ! [SV6: a,SV1: a > $o] :
      ( ( ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV6 ) )
        = $false )
      | ( ( SV1 @ SV6 )
        = $false )
      | ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
          = SV1 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[83]) ).

thf(99,plain,
    ! [SV5: a,SV1: a > $o] :
      ( ( ( SV1 @ SV5 )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV5 )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[85]) ).

thf(100,plain,
    ! [SV5: a,SV1: a > $o] :
      ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV5 )
        = $true )
      | ( ( SV1 @ SV5 )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[86]) ).

thf(102,plain,
    ! [SV10: a,SV1: a > $o] :
      ( ( ( ~ ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV10 )
              | ( SV1 @ SV10 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV10 )
              | ~ ( SV1 @ SV10 ) ) )
        = $true )
      | ( ( SV1 @ ( sK3_SV2 @ SV1 ) )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[88]) ).

thf(103,plain,
    ! [SV12: a,SV1: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV12 )
          = ( SV1 @ SV12 ) )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SV2 @ SV1 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[90]) ).

thf(104,plain,
    ! [SV8: a,SV1: a > $o] :
      ( ( ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV8 )
          | ~ ( SV1 @ SV8 ) )
        = $false )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV8 )
        = $false )
      | ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
          = ( SV1 @ ( sK3_SV2 @ SV1 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[92]) ).

thf(105,plain,
    ! [SV8: a,SV1: a > $o] :
      ( ( ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV8 )
          | ~ ( SV1 @ SV8 ) )
        = $false )
      | ( ( SV1 @ SV8 )
        = $false )
      | ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
          = ( SV1 @ ( sK3_SV2 @ SV1 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[93]) ).

thf(107,plain,
    ! [SV6: a,SV1: a > $o] :
      ( ( ( SV1 @ SV6 )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV6 )
        = $false )
      | ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
          = SV1 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[95]) ).

thf(108,plain,
    ! [SV6: a,SV1: a > $o] :
      ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV6 )
        = $true )
      | ( ( SV1 @ SV6 )
        = $false )
      | ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
          = SV1 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[96]) ).

thf(110,plain,
    ! [SV10: a,SV1: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV10 )
          | ( SV1 @ SV10 ) )
        = $false )
      | ( ( ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV10 )
              | ~ ( SV1 @ SV10 ) ) )
        = $true )
      | ( ( SV1 @ ( sK3_SV2 @ SV1 ) )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[102]) ).

thf(111,plain,
    ! [SV12: a,SV1: a > $o] :
      ( ( ( ~ ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV12 )
              | ( SV1 @ SV12 ) )
          | ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV12 )
              | ~ ( SV1 @ SV12 ) ) )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SV2 @ SV1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[103]) ).

thf(112,plain,
    ! [SV12: a,SV1: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV12 )
          = ( SV1 @ SV12 ) )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SV2 @ SV1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[103]) ).

thf(114,plain,
    ! [SV8: a,SV1: a > $o] :
      ( ( ( ~ ( SV1 @ SV8 ) )
        = $false )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV8 )
        = $false )
      | ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
          = ( SV1 @ ( sK3_SV2 @ SV1 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[104]) ).

thf(115,plain,
    ! [SV8: a,SV1: a > $o] :
      ( ( ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV8 ) )
        = $false )
      | ( ( SV1 @ SV8 )
        = $false )
      | ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
          = ( SV1 @ ( sK3_SV2 @ SV1 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[105]) ).

thf(117,plain,
    ! [SV10: a,SV1: a > $o] :
      ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV10 )
        = $false )
      | ( ( ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV10 )
              | ~ ( SV1 @ SV10 ) ) )
        = $true )
      | ( ( SV1 @ ( sK3_SV2 @ SV1 ) )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[110]) ).

thf(118,plain,
    ! [SV10: a,SV1: a > $o] :
      ( ( ( SV1 @ SV10 )
        = $false )
      | ( ( ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV10 )
              | ~ ( SV1 @ SV10 ) ) )
        = $true )
      | ( ( SV1 @ ( sK3_SV2 @ SV1 ) )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[110]) ).

thf(119,plain,
    ! [SV12: a,SV1: a > $o] :
      ( ( ( ~ ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV12 )
              | ( SV1 @ SV12 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV12 )
              | ~ ( SV1 @ SV12 ) ) )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SV2 @ SV1 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[111]) ).

thf(121,plain,
    ! [SV8: a,SV1: a > $o] :
      ( ( ( SV1 @ SV8 )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV8 )
        = $false )
      | ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
          = ( SV1 @ ( sK3_SV2 @ SV1 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[114]) ).

thf(122,plain,
    ! [SV8: a,SV1: a > $o] :
      ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV8 )
        = $true )
      | ( ( SV1 @ SV8 )
        = $false )
      | ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
          = ( SV1 @ ( sK3_SV2 @ SV1 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[115]) ).

thf(124,plain,
    ! [SV10: a,SV1: a > $o] :
      ( ( ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV10 )
          | ~ ( SV1 @ SV10 ) )
        = $false )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV10 )
        = $false )
      | ( ( SV1 @ ( sK3_SV2 @ SV1 ) )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[117]) ).

thf(125,plain,
    ! [SV10: a,SV1: a > $o] :
      ( ( ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV10 )
          | ~ ( SV1 @ SV10 ) )
        = $false )
      | ( ( SV1 @ SV10 )
        = $false )
      | ( ( SV1 @ ( sK3_SV2 @ SV1 ) )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[118]) ).

thf(126,plain,
    ! [SV12: a,SV1: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV12 )
          | ( SV1 @ SV12 ) )
        = $false )
      | ( ( ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV12 )
              | ~ ( SV1 @ SV12 ) ) )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SV2 @ SV1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[119]) ).

thf(128,plain,
    ! [SV10: a,SV1: a > $o] :
      ( ( ( ~ ( SV1 @ SV10 ) )
        = $false )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV10 )
        = $false )
      | ( ( SV1 @ ( sK3_SV2 @ SV1 ) )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[124]) ).

thf(129,plain,
    ! [SV10: a,SV1: a > $o] :
      ( ( ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV10 ) )
        = $false )
      | ( ( SV1 @ SV10 )
        = $false )
      | ( ( SV1 @ ( sK3_SV2 @ SV1 ) )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[125]) ).

thf(131,plain,
    ! [SV12: a,SV1: a > $o] :
      ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV12 )
        = $false )
      | ( ( ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV12 )
              | ~ ( SV1 @ SV12 ) ) )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SV2 @ SV1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[126]) ).

thf(132,plain,
    ! [SV12: a,SV1: a > $o] :
      ( ( ( SV1 @ SV12 )
        = $false )
      | ( ( ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV12 )
              | ~ ( SV1 @ SV12 ) ) )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SV2 @ SV1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[126]) ).

thf(134,plain,
    ! [SV10: a,SV1: a > $o] :
      ( ( ( SV1 @ SV10 )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV10 )
        = $false )
      | ( ( SV1 @ ( sK3_SV2 @ SV1 ) )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[128]) ).

thf(135,plain,
    ! [SV10: a,SV1: a > $o] :
      ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV10 )
        = $true )
      | ( ( SV1 @ SV10 )
        = $false )
      | ( ( SV1 @ ( sK3_SV2 @ SV1 ) )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[129]) ).

thf(137,plain,
    ! [SV12: a,SV1: a > $o] :
      ( ( ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV12 )
          | ~ ( SV1 @ SV12 ) )
        = $false )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV12 )
        = $false )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SV2 @ SV1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[131]) ).

thf(138,plain,
    ! [SV12: a,SV1: a > $o] :
      ( ( ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV12 )
          | ~ ( SV1 @ SV12 ) )
        = $false )
      | ( ( SV1 @ SV12 )
        = $false )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SV2 @ SV1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[132]) ).

thf(140,plain,
    ! [SV12: a,SV1: a > $o] :
      ( ( ( ~ ( SV1 @ SV12 ) )
        = $false )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV12 )
        = $false )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SV2 @ SV1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[137]) ).

thf(141,plain,
    ! [SV12: a,SV1: a > $o] :
      ( ( ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV12 ) )
        = $false )
      | ( ( SV1 @ SV12 )
        = $false )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SV2 @ SV1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[138]) ).

thf(144,plain,
    ! [SV12: a,SV1: a > $o] :
      ( ( ( SV1 @ SV12 )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV12 )
        = $false )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SV2 @ SV1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[140]) ).

thf(145,plain,
    ! [SV12: a,SV1: a > $o] :
      ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV12 )
        = $true )
      | ( ( SV1 @ SV12 )
        = $false )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SV2 @ SV1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[141]) ).

thf(152,plain,
    ( ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true ) )
        = ( ^ [SX0: a] : $true ) )
      = $true )
    = $true ),
    inference(prim_subst,[status(thm)],[9:[bind(SV1,$thf( ^ [SV21: a] : $true ))]]) ).

thf(153,plain,
    ( ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false ) )
        = ( ^ [SX0: a] : $false ) )
      = $true )
    = $true ),
    inference(prim_subst,[status(thm)],[9:[bind(SV1,$thf( ^ [SV20: a] : $false ))]]) ).

thf(154,plain,
    ! [SV19: a > $o] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) ) )
          = ( ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $true )
      = $true ),
    inference(prim_subst,[status(thm)],[9:[bind(SV1,$thf( ^ [SV18: a] : ~ ( SV19 @ SV18 ) ))]]) ).

thf(160,plain,
    ! [SV19: a > $o] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) ) )
          = ( ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $true )
      | ( $true = $false ) ),
    inference(prim_subst,[status(thm)],[33:[bind(SV1,$thf( ^ [SV18: a] : ~ ( SV19 @ SV18 ) ))]]) ).

thf(161,plain,
    ( ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true ) )
        = ( ^ [SX0: a] : $true ) )
      = $true )
    | ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true ) )
        = ( ^ [SX0: a] : $true ) )
      = $false ) ),
    inference(prim_subst,[status(thm)],[39:[bind(SV1,$thf( ^ [SV21: a] : $true ))]]) ).

thf(162,plain,
    ( ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false ) )
        = ( ^ [SX0: a] : $false ) )
      = $true )
    | ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false ) )
        = ( ^ [SX0: a] : $false ) )
      = $false ) ),
    inference(prim_subst,[status(thm)],[39:[bind(SV1,$thf( ^ [SV20: a] : $false ))]]) ).

thf(163,plain,
    ! [SV19: a > $o] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) ) )
          = ( ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $true )
      | ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) ) )
          = ( ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false ) ),
    inference(prim_subst,[status(thm)],[39:[bind(SV1,$thf( ^ [SV18: a] : ~ ( SV19 @ SV18 ) ))]]) ).

thf(169,plain,
    ! [SV5: a,SV19: a > $o] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) )
            @ SV5 )
          = ( ~ ( SV19 @ SV5 ) ) )
        = $true )
      | ( $true = $false ) ),
    inference(prim_subst,[status(thm)],[47:[bind(SV1,$thf( ^ [SV18: a] : ~ ( SV19 @ SV18 ) ))]]) ).

thf(170,plain,
    ( ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true ) )
        = ( ^ [SX0: a] : $true ) )
      = $true )
    | ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ ( sK3_SV2
            @ ^ [SX0: a] : $true ) )
        = $true )
      = $false ) ),
    inference(prim_subst,[status(thm)],[51:[bind(SV1,$thf( ^ [SV21: a] : $true ))]]) ).

thf(171,plain,
    ( ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false ) )
        = ( ^ [SX0: a] : $false ) )
      = $true )
    | ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ ( sK3_SV2
            @ ^ [SX0: a] : $false ) )
        = $false )
      = $false ) ),
    inference(prim_subst,[status(thm)],[51:[bind(SV1,$thf( ^ [SV20: a] : $false ))]]) ).

thf(172,plain,
    ! [SV19: a > $o] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) ) )
          = ( ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $true )
      | ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) )
            @ ( sK3_SV2
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) ) )
          = ( ~ ( SV19
                @ ( sK3_SV2
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) ) ) ) )
        = $false ) ),
    inference(prim_subst,[status(thm)],[51:[bind(SV1,$thf( ^ [SV18: a] : ~ ( SV19 @ SV18 ) ))]]) ).

thf(173,plain,
    ! [SV6: a] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] : $true )
            @ SV6 )
          = $true )
        = $true )
      | ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] : $true ) )
          = ( ^ [SX0: a] : $true ) )
        = $false ) ),
    inference(prim_subst,[status(thm)],[53:[bind(SV1,$thf( ^ [SV21: a] : $true ))]]) ).

thf(174,plain,
    ! [SV6: a] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] : $false )
            @ SV6 )
          = $false )
        = $true )
      | ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] : $false ) )
          = ( ^ [SX0: a] : $false ) )
        = $false ) ),
    inference(prim_subst,[status(thm)],[53:[bind(SV1,$thf( ^ [SV20: a] : $false ))]]) ).

thf(175,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) )
            @ SV6 )
          = ( ~ ( SV19 @ SV6 ) ) )
        = $true )
      | ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) ) )
          = ( ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false ) ),
    inference(prim_subst,[status(thm)],[53:[bind(SV1,$thf( ^ [SV18: a] : ~ ( SV19 @ SV18 ) ))]]) ).

thf(179,plain,
    ! [SV8: a] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] : $true )
            @ SV8 )
          = $true )
        = $true )
      | ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] : $true )
            @ ( sK3_SV2
              @ ^ [SX0: a] : $true ) )
          = $true )
        = $false ) ),
    inference(prim_subst,[status(thm)],[65:[bind(SV1,$thf( ^ [SV21: a] : $true ))]]) ).

thf(180,plain,
    ! [SV8: a] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] : $false )
            @ SV8 )
          = $false )
        = $true )
      | ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] : $false )
            @ ( sK3_SV2
              @ ^ [SX0: a] : $false ) )
          = $false )
        = $false ) ),
    inference(prim_subst,[status(thm)],[65:[bind(SV1,$thf( ^ [SV20: a] : $false ))]]) ).

thf(181,plain,
    ! [SV8: a,SV19: a > $o] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) )
            @ SV8 )
          = ( ~ ( SV19 @ SV8 ) ) )
        = $true )
      | ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) )
            @ ( sK3_SV2
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) ) )
          = ( ~ ( SV19
                @ ( sK3_SV2
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) ) ) ) )
        = $false ) ),
    inference(prim_subst,[status(thm)],[65:[bind(SV1,$thf( ^ [SV18: a] : ~ ( SV19 @ SV18 ) ))]]) ).

thf(183,plain,
    ( ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false ) )
        = ( ^ [SX0: a] : $false ) )
      = $true )
    | ( $false = $true )
    | ( ( sK1_Xg
        @ ( sK2_SY4
          @ ^ [SX0: a] : $false )
        @ ( sK3_SV2
          @ ^ [SX0: a] : $false ) )
      = $true ) ),
    inference(prim_subst,[status(thm)],[70:[bind(SV1,$thf( ^ [SV20: a] : $false ))]]) ).

thf(184,plain,
    ! [SV19: a > $o] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) ) )
          = ( ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $true )
      | ( ( ~ ( SV19
              @ ( sK3_SV2
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $true ) ),
    inference(prim_subst,[status(thm)],[70:[bind(SV1,$thf( ^ [SV18: a] : ~ ( SV19 @ SV18 ) ))]]) ).

thf(189,plain,
    ! [SV10: a] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] : $false )
            @ SV10 )
          = $false )
        = $true )
      | ( $false = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ ( sK3_SV2
            @ ^ [SX0: a] : $false ) )
        = $true ) ),
    inference(prim_subst,[status(thm)],[89:[bind(SV1,$thf( ^ [SV20: a] : $false ))]]) ).

thf(190,plain,
    ! [SV10: a,SV19: a > $o] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) )
            @ SV10 )
          = ( ~ ( SV19 @ SV10 ) ) )
        = $true )
      | ( ( ~ ( SV19
              @ ( sK3_SV2
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $true ) ),
    inference(prim_subst,[status(thm)],[89:[bind(SV1,$thf( ^ [SV18: a] : ~ ( SV19 @ SV18 ) ))]]) ).

thf(191,plain,
    ( ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true ) )
        = ( ^ [SX0: a] : $true ) )
      = $true )
    | ( ( sK1_Xg
        @ ( sK2_SY4
          @ ^ [SX0: a] : $true )
        @ ( sK3_SV2
          @ ^ [SX0: a] : $true ) )
      = $false )
    | ( $true = $false ) ),
    inference(prim_subst,[status(thm)],[91:[bind(SV1,$thf( ^ [SV21: a] : $true ))]]) ).

thf(193,plain,
    ! [SV19: a > $o] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) ) )
          = ( ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV19
              @ ( sK3_SV2
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) ) ) )
        = $false ) ),
    inference(prim_subst,[status(thm)],[91:[bind(SV1,$thf( ^ [SV18: a] : ~ ( SV19 @ SV18 ) ))]]) ).

thf(199,plain,
    ! [SV5: a,SV19: a > $o] :
      ( ( ( ~ ( SV19 @ SV5 ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV5 )
        = $false )
      | ( $true = $false ) ),
    inference(prim_subst,[status(thm)],[99:[bind(SV1,$thf( ^ [SV18: a] : ~ ( SV19 @ SV18 ) ))]]) ).

thf(202,plain,
    ! [SV5: a,SV19: a > $o] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV5 )
        = $true )
      | ( ( ~ ( SV19 @ SV5 ) )
        = $false )
      | ( $true = $false ) ),
    inference(prim_subst,[status(thm)],[100:[bind(SV1,$thf( ^ [SV18: a] : ~ ( SV19 @ SV18 ) ))]]) ).

thf(210,plain,
    ! [SV6: a] :
      ( ( $false = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV6 )
        = $false )
      | ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] : $false ) )
          = ( ^ [SX0: a] : $false ) )
        = $false ) ),
    inference(prim_subst,[status(thm)],[107:[bind(SV1,$thf( ^ [SV20: a] : $false ))]]) ).

thf(211,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( ~ ( SV19 @ SV6 ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $false )
      | ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) ) )
          = ( ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false ) ),
    inference(prim_subst,[status(thm)],[107:[bind(SV1,$thf( ^ [SV18: a] : ~ ( SV19 @ SV18 ) ))]]) ).

thf(212,plain,
    ! [SV6: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV6 )
        = $true )
      | ( $true = $false )
      | ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] : $true ) )
          = ( ^ [SX0: a] : $true ) )
        = $false ) ),
    inference(prim_subst,[status(thm)],[108:[bind(SV1,$thf( ^ [SV21: a] : $true ))]]) ).

thf(214,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $true )
      | ( ( ~ ( SV19 @ SV6 ) )
        = $false )
      | ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) ) )
          = ( ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false ) ),
    inference(prim_subst,[status(thm)],[108:[bind(SV1,$thf( ^ [SV18: a] : ~ ( SV19 @ SV18 ) ))]]) ).

thf(218,plain,
    ! [SV12: a] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] : $true )
            @ SV12 )
          = $true )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ ( sK3_SV2
            @ ^ [SX0: a] : $true ) )
        = $false )
      | ( $true = $false ) ),
    inference(prim_subst,[status(thm)],[112:[bind(SV1,$thf( ^ [SV21: a] : $true ))]]) ).

thf(220,plain,
    ! [SV12: a,SV19: a > $o] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) )
            @ SV12 )
          = ( ~ ( SV19 @ SV12 ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV19
              @ ( sK3_SV2
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) ) ) )
        = $false ) ),
    inference(prim_subst,[status(thm)],[112:[bind(SV1,$thf( ^ [SV18: a] : ~ ( SV19 @ SV18 ) ))]]) ).

thf(225,plain,
    ! [SV8: a] :
      ( ( $false = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV8 )
        = $false )
      | ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] : $false )
            @ ( sK3_SV2
              @ ^ [SX0: a] : $false ) )
          = $false )
        = $false ) ),
    inference(prim_subst,[status(thm)],[121:[bind(SV1,$thf( ^ [SV20: a] : $false ))]]) ).

thf(226,plain,
    ! [SV8: a,SV19: a > $o] :
      ( ( ( ~ ( SV19 @ SV8 ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV8 )
        = $false )
      | ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) )
            @ ( sK3_SV2
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) ) )
          = ( ~ ( SV19
                @ ( sK3_SV2
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) ) ) ) )
        = $false ) ),
    inference(prim_subst,[status(thm)],[121:[bind(SV1,$thf( ^ [SV18: a] : ~ ( SV19 @ SV18 ) ))]]) ).

thf(227,plain,
    ! [SV8: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV8 )
        = $true )
      | ( $true = $false )
      | ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] : $true )
            @ ( sK3_SV2
              @ ^ [SX0: a] : $true ) )
          = $true )
        = $false ) ),
    inference(prim_subst,[status(thm)],[122:[bind(SV1,$thf( ^ [SV21: a] : $true ))]]) ).

thf(229,plain,
    ! [SV8: a,SV19: a > $o] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV8 )
        = $true )
      | ( ( ~ ( SV19 @ SV8 ) )
        = $false )
      | ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) )
            @ ( sK3_SV2
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) ) )
          = ( ~ ( SV19
                @ ( sK3_SV2
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) ) ) ) )
        = $false ) ),
    inference(prim_subst,[status(thm)],[122:[bind(SV1,$thf( ^ [SV18: a] : ~ ( SV19 @ SV18 ) ))]]) ).

thf(237,plain,
    ! [SV10: a] :
      ( ( $false = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV10 )
        = $false )
      | ( $false = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ ( sK3_SV2
            @ ^ [SX0: a] : $false ) )
        = $true ) ),
    inference(prim_subst,[status(thm)],[134:[bind(SV1,$thf( ^ [SV20: a] : $false ))]]) ).

thf(238,plain,
    ! [SV10: a,SV19: a > $o] :
      ( ( ( ~ ( SV19 @ SV10 ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV10 )
        = $false )
      | ( ( ~ ( SV19
              @ ( sK3_SV2
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $true ) ),
    inference(prim_subst,[status(thm)],[134:[bind(SV1,$thf( ^ [SV18: a] : ~ ( SV19 @ SV18 ) ))]]) ).

thf(241,plain,
    ! [SV10: a,SV19: a > $o] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV10 )
        = $true )
      | ( ( ~ ( SV19 @ SV10 ) )
        = $false )
      | ( ( ~ ( SV19
              @ ( sK3_SV2
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $true ) ),
    inference(prim_subst,[status(thm)],[135:[bind(SV1,$thf( ^ [SV18: a] : ~ ( SV19 @ SV18 ) ))]]) ).

thf(250,plain,
    ! [SV12: a,SV19: a > $o] :
      ( ( ( ~ ( SV19 @ SV12 ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV12 )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV19
              @ ( sK3_SV2
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) ) ) )
        = $false ) ),
    inference(prim_subst,[status(thm)],[144:[bind(SV1,$thf( ^ [SV18: a] : ~ ( SV19 @ SV18 ) ))]]) ).

thf(251,plain,
    ! [SV12: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV12 )
        = $true )
      | ( $true = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ ( sK3_SV2
            @ ^ [SX0: a] : $true ) )
        = $false )
      | ( $true = $false ) ),
    inference(prim_subst,[status(thm)],[145:[bind(SV1,$thf( ^ [SV21: a] : $true ))]]) ).

thf(253,plain,
    ! [SV12: a,SV19: a > $o] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV12 )
        = $true )
      | ( ( ~ ( SV19 @ SV12 ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV19
              @ ( sK3_SV2
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) ) ) )
        = $false ) ),
    inference(prim_subst,[status(thm)],[145:[bind(SV1,$thf( ^ [SV18: a] : ~ ( SV19 @ SV18 ) ))]]) ).

thf(257,plain,
    ! [SV1: a > $o,SV22: a] :
      ( ( $true = $false )
      | ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV22 )
          = ( SV1 @ SV22 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[33]) ).

thf(260,plain,
    ! [SV1: a > $o,SV25: a] :
      ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK3_SV2 @ SV1 ) )
        = $true )
      | ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV25 )
          = ( SV1 @ SV25 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[70]) ).

thf(261,plain,
    ! [SV1: a > $o,SV26: a] :
      ( ( ( SV1 @ ( sK3_SV2 @ SV1 ) )
        = $false )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
        = $false )
      | ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV26 )
          = ( SV1 @ SV26 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[91]) ).

thf(262,plain,
    ! [SV1: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
          = SV1 )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[9]) ).

thf(264,plain,
    ! [SV1: a > $o,SV22: a] :
      ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV22 )
        = $true )
      | ( ( SV1 @ SV22 )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[257]) ).

thf(265,plain,
    ! [SV1: a > $o,SV22: a] :
      ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV22 )
        = $false )
      | ( ( SV1 @ SV22 )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[257]) ).

thf(268,plain,
    ! [SV5: a,SV1: a > $o] :
      ( ( $true = $false )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV5 )
        = $true )
      | ( ( SV1 @ SV5 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[47]) ).

thf(269,plain,
    ! [SV5: a,SV1: a > $o] :
      ( ( $true = $false )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV5 )
        = $false )
      | ( ( SV1 @ SV5 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[47]) ).

thf(276,plain,
    ! [SV1: a > $o,SV25: a] :
      ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV25 )
        = $true )
      | ( ( SV1 @ SV25 )
        = $false )
      | ( ( SV1 @ ( sK3_SV2 @ SV1 ) )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[260]) ).

thf(277,plain,
    ! [SV1: a > $o,SV25: a] :
      ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV25 )
        = $false )
      | ( ( SV1 @ SV25 )
        = $true )
      | ( ( SV1 @ ( sK3_SV2 @ SV1 ) )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[260]) ).

thf(278,plain,
    ! [SV10: a,SV1: a > $o] :
      ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK3_SV2 @ SV1 ) )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV10 )
        = $true )
      | ( ( SV1 @ SV10 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[89]) ).

thf(279,plain,
    ! [SV10: a,SV1: a > $o] :
      ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK3_SV2 @ SV1 ) )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV10 )
        = $false )
      | ( ( SV1 @ SV10 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[89]) ).

thf(280,plain,
    ! [SV1: a > $o,SV26: a] :
      ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV26 )
        = $true )
      | ( ( SV1 @ SV26 )
        = $false )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SV2 @ SV1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[261]) ).

thf(281,plain,
    ! [SV1: a > $o,SV26: a] :
      ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV26 )
        = $false )
      | ( ( SV1 @ SV26 )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SV2 @ SV1 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[261]) ).

thf(282,plain,
    ! [SV12: a,SV1: a > $o] :
      ( ( ( SV1 @ ( sK3_SV2 @ SV1 ) )
        = $false )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
        = $false )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV12 )
        = $true )
      | ( ( SV1 @ SV12 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[112]) ).

thf(283,plain,
    ! [SV12: a,SV1: a > $o] :
      ( ( ( SV1 @ ( sK3_SV2 @ SV1 ) )
        = $false )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ ( sK3_SV2 @ SV1 ) )
        = $false )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV12 )
        = $false )
      | ( ( SV1 @ SV12 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[112]) ).

thf(286,plain,
    ! [SV1: a > $o] :
      ( ( ( ! [SV28: a] :
              ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV28 )
              = ( SV1 @ SV28 ) ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[262]) ).

thf(287,plain,
    ! [SV1: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
          = SV1 )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[262]) ).

thf(289,plain,
    ! [SV29: a,SV1: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV29 )
          = ( SV1 @ SV29 ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[286]) ).

thf(292,plain,
    ! [SV29: a,SV1: a > $o] :
      ( ( ( ~ ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV29 )
              | ( SV1 @ SV29 ) )
          | ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV29 )
              | ~ ( SV1 @ SV29 ) ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[289]) ).

thf(293,plain,
    ! [SV29: a,SV1: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV29 )
          = ( SV1 @ SV29 ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[289]) ).

thf(296,plain,
    ! [SV29: a,SV1: a > $o] :
      ( ( ( ~ ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV29 )
              | ( SV1 @ SV29 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV29 )
              | ~ ( SV1 @ SV29 ) ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[292]) ).

thf(299,plain,
    ! [SV29: a,SV1: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV29 )
          | ( SV1 @ SV29 ) )
        = $false )
      | ( ( ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV29 )
              | ~ ( SV1 @ SV29 ) ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[296]) ).

thf(302,plain,
    ! [SV29: a,SV1: a > $o] :
      ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV29 )
        = $false )
      | ( ( ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV29 )
              | ~ ( SV1 @ SV29 ) ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[299]) ).

thf(303,plain,
    ! [SV29: a,SV1: a > $o] :
      ( ( ( SV1 @ SV29 )
        = $false )
      | ( ( ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV29 )
              | ~ ( SV1 @ SV29 ) ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[299]) ).

thf(305,plain,
    ! [SV29: a,SV1: a > $o] :
      ( ( ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV29 )
          | ~ ( SV1 @ SV29 ) )
        = $false )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV29 )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[302]) ).

thf(306,plain,
    ! [SV29: a,SV1: a > $o] :
      ( ( ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV29 )
          | ~ ( SV1 @ SV29 ) )
        = $false )
      | ( ( SV1 @ SV29 )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[303]) ).

thf(309,plain,
    ! [SV29: a,SV1: a > $o] :
      ( ( ( ~ ( SV1 @ SV29 ) )
        = $false )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV29 )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[305]) ).

thf(310,plain,
    ! [SV29: a,SV1: a > $o] :
      ( ( ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV29 ) )
        = $false )
      | ( ( SV1 @ SV29 )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[306]) ).

thf(313,plain,
    ! [SV29: a,SV1: a > $o] :
      ( ( ( SV1 @ SV29 )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV29 )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[309]) ).

thf(314,plain,
    ! [SV29: a,SV1: a > $o] :
      ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV29 )
        = $true )
      | ( ( SV1 @ SV29 )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[310]) ).

thf(316,plain,
    ! [SV1: a > $o,SV30: a] :
      ( ( $true = $false )
      | ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV30 )
          = ( SV1 @ SV30 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[287]) ).

thf(317,plain,
    ! [SV29: a,SV1: a > $o] :
      ( ( $true = $false )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV29 )
        = $true )
      | ( ( SV1 @ SV29 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[293]) ).

thf(318,plain,
    ! [SV29: a,SV1: a > $o] :
      ( ( $true = $false )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV29 )
        = $false )
      | ( ( SV1 @ SV29 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[293]) ).

thf(319,plain,
    ! [SV1: a > $o,SV30: a] :
      ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV30 )
        = $true )
      | ( ( SV1 @ SV30 )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[316]) ).

thf(320,plain,
    ! [SV1: a > $o,SV30: a] :
      ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV30 )
        = $false )
      | ( ( SV1 @ SV30 )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[316]) ).

thf(323,plain,
    ! [SV19: a > $o,SV33: a] :
      ( ( $true = $false )
      | ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) )
            @ SV33 )
          = ( ~ ( SV19 @ SV33 ) ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[160]) ).

thf(324,plain,
    ! [SV34: a] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] : $true ) )
          = ( ^ [SX0: a] : $true ) )
        = $false )
      | ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] : $true )
            @ SV34 )
          = $true )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[161]) ).

thf(325,plain,
    ! [SV35: a] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] : $false ) )
          = ( ^ [SX0: a] : $false ) )
        = $false )
      | ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] : $false )
            @ SV35 )
          = $false )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[162]) ).

thf(326,plain,
    ! [SV19: a > $o,SV36: a] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) ) )
          = ( ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) )
            @ SV36 )
          = ( ~ ( SV19 @ SV36 ) ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[163]) ).

thf(327,plain,
    ! [SV37: a] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] : $true )
            @ ( sK3_SV2
              @ ^ [SX0: a] : $true ) )
          = $true )
        = $false )
      | ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] : $true )
            @ SV37 )
          = $true )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[170]) ).

thf(328,plain,
    ! [SV38: a] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] : $false )
            @ ( sK3_SV2
              @ ^ [SX0: a] : $false ) )
          = $false )
        = $false )
      | ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] : $false )
            @ SV38 )
          = $false )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[171]) ).

thf(329,plain,
    ! [SV19: a > $o,SV39: a] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) )
            @ ( sK3_SV2
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) ) )
          = ( ~ ( SV19
                @ ( sK3_SV2
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) ) ) ) )
        = $false )
      | ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) )
            @ SV39 )
          = ( ~ ( SV19 @ SV39 ) ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[172]) ).

thf(331,plain,
    ! [SV41: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ ( sK3_SV2
            @ ^ [SX0: a] : $false ) )
        = $true )
      | ( $false = $true )
      | ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] : $false )
            @ SV41 )
          = $false )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[183]) ).

thf(332,plain,
    ! [SV19: a > $o,SV42: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $true )
      | ( ( ~ ( SV19
              @ ( sK3_SV2
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) ) ) )
        = $true )
      | ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) )
            @ SV42 )
          = ( ~ ( SV19 @ SV42 ) ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[184]) ).

thf(333,plain,
    ! [SV43: a] :
      ( ( $true = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ ( sK3_SV2
            @ ^ [SX0: a] : $true ) )
        = $false )
      | ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] : $true )
            @ SV43 )
          = $true )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[191]) ).

thf(335,plain,
    ! [SV19: a > $o,SV45: a] :
      ( ( ( ~ ( SV19
              @ ( sK3_SV2
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) )
            @ SV45 )
          = ( ~ ( SV19 @ SV45 ) ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[193]) ).

thf(336,plain,
    ( ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true ) )
        = ( ^ [SX0: a] : $true ) )
      = $true )
    | ( $true = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[152]) ).

thf(338,plain,
    ( ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false ) )
        = ( ^ [SX0: a] : $false ) )
      = $true )
    | ( $true = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[153]) ).

thf(340,plain,
    ! [SV19: a > $o] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) ) )
          = ( ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[154]) ).

thf(346,plain,
    ! [SV19: a > $o,SV33: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV33 )
        = $true )
      | ( ( ~ ( SV19 @ SV33 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[323]) ).

thf(347,plain,
    ! [SV19: a > $o,SV33: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV33 )
        = $false )
      | ( ( ~ ( SV19 @ SV33 ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[323]) ).

thf(348,plain,
    ! [SV34: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV34 )
        = $true )
      | ( $true = $false )
      | ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] : $true ) )
          = ( ^ [SX0: a] : $true ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[324]) ).

thf(351,plain,
    ! [SV35: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV35 )
        = $false )
      | ( $false = $true )
      | ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] : $false ) )
          = ( ^ [SX0: a] : $false ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[325]) ).

thf(352,plain,
    ! [SV19: a > $o,SV36: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV36 )
        = $true )
      | ( ( ~ ( SV19 @ SV36 ) )
        = $false )
      | ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) ) )
          = ( ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[326]) ).

thf(353,plain,
    ! [SV19: a > $o,SV36: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV36 )
        = $false )
      | ( ( ~ ( SV19 @ SV36 ) )
        = $true )
      | ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) ) )
          = ( ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[326]) ).

thf(358,plain,
    ! [SV5: a,SV19: a > $o] :
      ( ( $true = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV5 )
        = $true )
      | ( ( ~ ( SV19 @ SV5 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[169]) ).

thf(359,plain,
    ! [SV5: a,SV19: a > $o] :
      ( ( $true = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV5 )
        = $false )
      | ( ( ~ ( SV19 @ SV5 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[169]) ).

thf(360,plain,
    ! [SV37: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV37 )
        = $true )
      | ( $true = $false )
      | ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] : $true )
            @ ( sK3_SV2
              @ ^ [SX0: a] : $true ) )
          = $true )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[327]) ).

thf(363,plain,
    ! [SV38: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV38 )
        = $false )
      | ( $false = $true )
      | ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] : $false )
            @ ( sK3_SV2
              @ ^ [SX0: a] : $false ) )
          = $false )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[328]) ).

thf(364,plain,
    ! [SV19: a > $o,SV39: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV39 )
        = $true )
      | ( ( ~ ( SV19 @ SV39 ) )
        = $false )
      | ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) )
            @ ( sK3_SV2
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) ) )
          = ( ~ ( SV19
                @ ( sK3_SV2
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) ) ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[329]) ).

thf(365,plain,
    ! [SV19: a > $o,SV39: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV39 )
        = $false )
      | ( ( ~ ( SV19 @ SV39 ) )
        = $true )
      | ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) )
            @ ( sK3_SV2
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) ) )
          = ( ~ ( SV19
                @ ( sK3_SV2
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) ) ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[329]) ).

thf(366,plain,
    ! [SV6: a] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] : $true ) )
          = ( ^ [SX0: a] : $true ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV6 )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[173]) ).

thf(369,plain,
    ! [SV6: a] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] : $false ) )
          = ( ^ [SX0: a] : $false ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV6 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[174]) ).

thf(370,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) ) )
          = ( ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $true )
      | ( ( ~ ( SV19 @ SV6 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[175]) ).

thf(371,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) ) )
          = ( ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $false )
      | ( ( ~ ( SV19 @ SV6 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[175]) ).

thf(372,plain,
    ! [SV8: a] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] : $true )
            @ ( sK3_SV2
              @ ^ [SX0: a] : $true ) )
          = $true )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV8 )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[179]) ).

thf(375,plain,
    ! [SV8: a] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] : $false )
            @ ( sK3_SV2
              @ ^ [SX0: a] : $false ) )
          = $false )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV8 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[180]) ).

thf(376,plain,
    ! [SV8: a,SV19: a > $o] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) )
            @ ( sK3_SV2
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) ) )
          = ( ~ ( SV19
                @ ( sK3_SV2
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV8 )
        = $true )
      | ( ( ~ ( SV19 @ SV8 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[181]) ).

thf(377,plain,
    ! [SV8: a,SV19: a > $o] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) )
            @ ( sK3_SV2
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) ) )
          = ( ~ ( SV19
                @ ( sK3_SV2
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV8 )
        = $false )
      | ( ( ~ ( SV19 @ SV8 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[181]) ).

thf(381,plain,
    ! [SV41: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV41 )
        = $false )
      | ( $false = $true )
      | ( $false = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ ( sK3_SV2
            @ ^ [SX0: a] : $false ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[331]) ).

thf(382,plain,
    ! [SV19: a > $o,SV42: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV42 )
        = $true )
      | ( ( ~ ( SV19 @ SV42 ) )
        = $false )
      | ( ( ~ ( SV19
              @ ( sK3_SV2
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[332]) ).

thf(383,plain,
    ! [SV19: a > $o,SV42: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV42 )
        = $false )
      | ( ( ~ ( SV19 @ SV42 ) )
        = $true )
      | ( ( ~ ( SV19
              @ ( sK3_SV2
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[332]) ).

thf(387,plain,
    ! [SV10: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ ( sK3_SV2
            @ ^ [SX0: a] : $false ) )
        = $true )
      | ( $false = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV10 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[189]) ).

thf(388,plain,
    ! [SV10: a,SV19: a > $o] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $true )
      | ( ( ~ ( SV19
              @ ( sK3_SV2
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV10 )
        = $true )
      | ( ( ~ ( SV19 @ SV10 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[190]) ).

thf(389,plain,
    ! [SV10: a,SV19: a > $o] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $true )
      | ( ( ~ ( SV19
              @ ( sK3_SV2
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV10 )
        = $false )
      | ( ( ~ ( SV19 @ SV10 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[190]) ).

thf(390,plain,
    ! [SV43: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV43 )
        = $true )
      | ( $true = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ ( sK3_SV2
            @ ^ [SX0: a] : $true ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[333]) ).

thf(394,plain,
    ! [SV19: a > $o,SV45: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV45 )
        = $true )
      | ( ( ~ ( SV19 @ SV45 ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV19
              @ ( sK3_SV2
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[335]) ).

thf(395,plain,
    ! [SV19: a > $o,SV45: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV45 )
        = $false )
      | ( ( ~ ( SV19 @ SV45 ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV19
              @ ( sK3_SV2
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[335]) ).

thf(396,plain,
    ! [SV12: a] :
      ( ( $true = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ ( sK3_SV2
            @ ^ [SX0: a] : $true ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV12 )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[218]) ).

thf(400,plain,
    ! [SV12: a,SV19: a > $o] :
      ( ( ( ~ ( SV19
              @ ( sK3_SV2
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV12 )
        = $true )
      | ( ( ~ ( SV19 @ SV12 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[220]) ).

thf(401,plain,
    ! [SV12: a,SV19: a > $o] :
      ( ( ( ~ ( SV19
              @ ( sK3_SV2
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV12 )
        = $false )
      | ( ( ~ ( SV19 @ SV12 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[220]) ).

thf(404,plain,
    ( ( ( ! [SV47: a] :
            ( ( sK1_Xg
              @ ( sK2_SY4
                @ ^ [SX0: a] : $true )
              @ SV47 )
            = $true ) )
      = $true )
    | ( $true = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[336]) ).

thf(408,plain,
    ( ( ( ! [SV49: a] :
            ( ( sK1_Xg
              @ ( sK2_SY4
                @ ^ [SX0: a] : $false )
              @ SV49 )
            = $false ) )
      = $true )
    | ( $true = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[338]) ).

thf(412,plain,
    ! [SV19: a > $o] :
      ( ( ( ! [SV51: a] :
              ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) )
                @ SV51 )
              = ( ~ ( SV19 @ SV51 ) ) ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[340]) ).

thf(413,plain,
    ! [SV19: a > $o] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) ) )
          = ( ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[340]) ).

thf(420,plain,
    ! [SV33: a,SV19: a > $o] :
      ( ( ( SV19 @ SV33 )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV33 )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[347]) ).

thf(421,plain,
    ! [SV33: a,SV19: a > $o] :
      ( ( ( SV19 @ SV33 )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV33 )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[346]) ).

thf(424,plain,
    ! [SV34: a] :
      ( ( ( ! [SV56: a] :
              ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] : $true )
                @ SV56 )
              = $true ) )
        = $false )
      | ( $true = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV34 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[348]) ).

thf(425,plain,
    ! [SV34: a] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] : $true ) )
          = ( ^ [SX0: a] : $true ) )
        = $false )
      | ( $true = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV34 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[348]) ).

thf(426,plain,
    ! [SV35: a] :
      ( ( ( ! [SV57: a] :
              ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] : $false )
                @ SV57 )
              = $false ) )
        = $false )
      | ( $false = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[351]) ).

thf(427,plain,
    ! [SV35: a] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] : $false ) )
          = ( ^ [SX0: a] : $false ) )
        = $false )
      | ( $false = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[351]) ).

thf(430,plain,
    ! [SV36: a,SV19: a > $o] :
      ( ( ( SV19 @ SV36 )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV36 )
        = $false )
      | ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) ) )
          = ( ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[353]) ).

thf(431,plain,
    ! [SV36: a,SV19: a > $o] :
      ( ( ( SV19 @ SV36 )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV36 )
        = $true )
      | ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) ) )
          = ( ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[352]) ).

thf(438,plain,
    ! [SV5: a,SV19: a > $o] :
      ( ( ( SV19 @ SV5 )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV5 )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[359]) ).

thf(439,plain,
    ! [SV5: a,SV19: a > $o] :
      ( ( ( SV19 @ SV5 )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV5 )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[358]) ).

thf(442,plain,
    ! [SV37: a] :
      ( ( ( ~ ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] : $true )
                @ ( sK3_SV2
                  @ ^ [SX0: a] : $true ) )
              | $true )
          | ~ ( ~ ( sK1_Xg
                  @ ( sK2_SY4
                    @ ^ [SX0: a] : $true )
                  @ ( sK3_SV2
                    @ ^ [SX0: a] : $true ) )
              | ~ $true ) )
        = $false )
      | ( $true = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV37 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[360]) ).

thf(444,plain,
    ! [SV38: a] :
      ( ( ( ~ ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] : $false )
                @ ( sK3_SV2
                  @ ^ [SX0: a] : $false ) )
              | $false )
          | ~ ( ~ ( sK1_Xg
                  @ ( sK2_SY4
                    @ ^ [SX0: a] : $false )
                  @ ( sK3_SV2
                    @ ^ [SX0: a] : $false ) )
              | ~ $false ) )
        = $false )
      | ( $false = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[363]) ).

thf(448,plain,
    ! [SV39: a,SV19: a > $o] :
      ( ( ( SV19 @ SV39 )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV39 )
        = $false )
      | ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) )
            @ ( sK3_SV2
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) ) )
          = ( ~ ( SV19
                @ ( sK3_SV2
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[365]) ).

thf(449,plain,
    ! [SV39: a,SV19: a > $o] :
      ( ( ( SV19 @ SV39 )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV39 )
        = $true )
      | ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) )
            @ ( sK3_SV2
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) ) )
          = ( ~ ( SV19
                @ ( sK3_SV2
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[364]) ).

thf(452,plain,
    ! [SV6: a] :
      ( ( ( ! [SV60: a] :
              ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] : $true )
                @ SV60 )
              = $true ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV6 )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[366]) ).

thf(453,plain,
    ! [SV6: a] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] : $true ) )
          = ( ^ [SX0: a] : $true ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV6 )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[366]) ).

thf(454,plain,
    ! [SV6: a] :
      ( ( ( ! [SV61: a] :
              ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] : $false )
                @ SV61 )
              = $false ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV6 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[369]) ).

thf(455,plain,
    ! [SV6: a] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] : $false ) )
          = ( ^ [SX0: a] : $false ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV6 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[369]) ).

thf(458,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( ! [SV63: a] :
              ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) )
                @ SV63 )
              = ( ~ ( SV19 @ SV63 ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $false )
      | ( ( ~ ( SV19 @ SV6 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[371]) ).

thf(459,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) ) )
          = ( ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $false )
      | ( ( ~ ( SV19 @ SV6 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[371]) ).

thf(460,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( ! [SV64: a] :
              ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) )
                @ SV64 )
              = ( ~ ( SV19 @ SV64 ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $true )
      | ( ( ~ ( SV19 @ SV6 ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[370]) ).

thf(461,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) ) )
          = ( ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $true )
      | ( ( ~ ( SV19 @ SV6 ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[370]) ).

thf(465,plain,
    ! [SV8: a] :
      ( ( ( ~ ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] : $true )
                @ ( sK3_SV2
                  @ ^ [SX0: a] : $true ) )
              | $true )
          | ~ ( ~ ( sK1_Xg
                  @ ( sK2_SY4
                    @ ^ [SX0: a] : $true )
                  @ ( sK3_SV2
                    @ ^ [SX0: a] : $true ) )
              | ~ $true ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV8 )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[372]) ).

thf(467,plain,
    ! [SV8: a] :
      ( ( ( ~ ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] : $false )
                @ ( sK3_SV2
                  @ ^ [SX0: a] : $false ) )
              | $false )
          | ~ ( ~ ( sK1_Xg
                  @ ( sK2_SY4
                    @ ^ [SX0: a] : $false )
                  @ ( sK3_SV2
                    @ ^ [SX0: a] : $false ) )
              | ~ $false ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV8 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[375]) ).

thf(471,plain,
    ! [SV8: a,SV19: a > $o] :
      ( ( ( ~ ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) )
                @ ( sK3_SV2
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) ) )
              | ~ ( SV19
                  @ ( sK3_SV2
                    @ ^ [SX0: a] :
                        ~ ( SV19 @ SX0 ) ) ) )
          | ~ ( ~ ( sK1_Xg
                  @ ( sK2_SY4
                    @ ^ [SX0: a] :
                        ~ ( SV19 @ SX0 ) )
                  @ ( sK3_SV2
                    @ ^ [SX0: a] :
                        ~ ( SV19 @ SX0 ) ) )
              | ~ ~ ( SV19
                    @ ( sK3_SV2
                      @ ^ [SX0: a] :
                          ~ ( SV19 @ SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV8 )
        = $false )
      | ( ( ~ ( SV19 @ SV8 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[377]) ).

thf(473,plain,
    ! [SV8: a,SV19: a > $o] :
      ( ( ( ~ ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) )
                @ ( sK3_SV2
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) ) )
              | ~ ( SV19
                  @ ( sK3_SV2
                    @ ^ [SX0: a] :
                        ~ ( SV19 @ SX0 ) ) ) )
          | ~ ( ~ ( sK1_Xg
                  @ ( sK2_SY4
                    @ ^ [SX0: a] :
                        ~ ( SV19 @ SX0 ) )
                  @ ( sK3_SV2
                    @ ^ [SX0: a] :
                        ~ ( SV19 @ SX0 ) ) )
              | ~ ~ ( SV19
                    @ ( sK3_SV2
                      @ ^ [SX0: a] :
                          ~ ( SV19 @ SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV8 )
        = $true )
      | ( ( ~ ( SV19 @ SV8 ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[376]) ).

thf(475,plain,
    ! [SV42: a,SV19: a > $o] :
      ( ( ( SV19 @ SV42 )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV42 )
        = $false )
      | ( ( ~ ( SV19
              @ ( sK3_SV2
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[383]) ).

thf(476,plain,
    ! [SV42: a,SV19: a > $o] :
      ( ( ( SV19 @ SV42 )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV42 )
        = $true )
      | ( ( ~ ( SV19
              @ ( sK3_SV2
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[382]) ).

thf(478,plain,
    ! [SV10: a,SV19: a > $o] :
      ( ( ( SV19
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV10 )
        = $false )
      | ( ( ~ ( SV19 @ SV10 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[389]) ).

thf(479,plain,
    ! [SV10: a,SV19: a > $o] :
      ( ( ( SV19
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV10 )
        = $true )
      | ( ( ~ ( SV19 @ SV10 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[388]) ).

thf(480,plain,
    ! [SV45: a,SV19: a > $o] :
      ( ( ( SV19 @ SV45 )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV45 )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV19
              @ ( sK3_SV2
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[395]) ).

thf(481,plain,
    ! [SV45: a,SV19: a > $o] :
      ( ( ( SV19 @ SV45 )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV45 )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV19
              @ ( sK3_SV2
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[394]) ).

thf(482,plain,
    ! [SV5: a,SV19: a > $o] :
      ( ( ( SV19 @ SV5 )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV5 )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[199]) ).

thf(483,plain,
    ! [SV5: a,SV19: a > $o] :
      ( ( ( SV19 @ SV5 )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV5 )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[202]) ).

thf(493,plain,
    ! [SV6: a] :
      ( ( ( ! [SV69: a] :
              ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] : $false )
                @ SV69 )
              = $false ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV6 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[210]) ).

thf(494,plain,
    ! [SV6: a] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] : $false ) )
          = ( ^ [SX0: a] : $false ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV6 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[210]) ).

thf(495,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( SV19 @ SV6 )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $false )
      | ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) ) )
          = ( ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[211]) ).

thf(496,plain,
    ! [SV6: a] :
      ( ( ( ! [SV70: a] :
              ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] : $true )
                @ SV70 )
              = $true ) )
        = $false )
      | ( $true = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV6 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[212]) ).

thf(497,plain,
    ! [SV6: a] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] : $true ) )
          = ( ^ [SX0: a] : $true ) )
        = $false )
      | ( $true = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV6 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[212]) ).

thf(500,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( SV19 @ SV6 )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $true )
      | ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) ) )
          = ( ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[214]) ).

thf(506,plain,
    ! [SV12: a,SV19: a > $o] :
      ( ( ( SV19
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV12 )
        = $false )
      | ( ( ~ ( SV19 @ SV12 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[401]) ).

thf(507,plain,
    ! [SV12: a,SV19: a > $o] :
      ( ( ( SV19
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV12 )
        = $true )
      | ( ( ~ ( SV19 @ SV12 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[400]) ).

thf(516,plain,
    ! [SV8: a] :
      ( ( ( ~ ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] : $false )
                @ ( sK3_SV2
                  @ ^ [SX0: a] : $false ) )
              | $false )
          | ~ ( ~ ( sK1_Xg
                  @ ( sK2_SY4
                    @ ^ [SX0: a] : $false )
                  @ ( sK3_SV2
                    @ ^ [SX0: a] : $false ) )
              | ~ $false ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV8 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[225]) ).

thf(518,plain,
    ! [SV8: a,SV19: a > $o] :
      ( ( ( SV19 @ SV8 )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV8 )
        = $false )
      | ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) )
            @ ( sK3_SV2
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) ) )
          = ( ~ ( SV19
                @ ( sK3_SV2
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[226]) ).

thf(519,plain,
    ! [SV8: a] :
      ( ( ( ~ ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] : $true )
                @ ( sK3_SV2
                  @ ^ [SX0: a] : $true ) )
              | $true )
          | ~ ( ~ ( sK1_Xg
                  @ ( sK2_SY4
                    @ ^ [SX0: a] : $true )
                  @ ( sK3_SV2
                    @ ^ [SX0: a] : $true ) )
              | ~ $true ) )
        = $false )
      | ( $true = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV8 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[227]) ).

thf(523,plain,
    ! [SV8: a,SV19: a > $o] :
      ( ( ( SV19 @ SV8 )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV8 )
        = $true )
      | ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) )
            @ ( sK3_SV2
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) ) )
          = ( ~ ( SV19
                @ ( sK3_SV2
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[229]) ).

thf(530,plain,
    ! [SV10: a,SV19: a > $o] :
      ( ( ( SV19 @ SV10 )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV10 )
        = $false )
      | ( ( ~ ( SV19
              @ ( sK3_SV2
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[238]) ).

thf(531,plain,
    ! [SV10: a,SV19: a > $o] :
      ( ( ( SV19 @ SV10 )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV10 )
        = $true )
      | ( ( ~ ( SV19
              @ ( sK3_SV2
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[241]) ).

thf(534,plain,
    ! [SV12: a,SV19: a > $o] :
      ( ( ( SV19 @ SV12 )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV12 )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV19
              @ ( sK3_SV2
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[250]) ).

thf(535,plain,
    ! [SV12: a,SV19: a > $o] :
      ( ( ( SV19 @ SV12 )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV12 )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( ~ ( SV19
              @ ( sK3_SV2
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[253]) ).

thf(538,plain,
    ! [SV74: a] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] : $true )
            @ SV74 )
          = $true )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[404]) ).

thf(540,plain,
    ! [SV75: a] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] : $false )
            @ SV75 )
          = $false )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[408]) ).

thf(542,plain,
    ! [SV76: a,SV19: a > $o] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) )
            @ SV76 )
          = ( ~ ( SV19 @ SV76 ) ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[412]) ).

thf(547,plain,
    ! [SV34: a] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] : $true )
            @ ( sK12_SV56 @ SV34 ) )
          = $true )
        = $false )
      | ( $true = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV34 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[424]) ).

thf(548,plain,
    ! [SV35: a] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] : $false )
            @ ( sK13_SV57 @ SV35 ) )
          = $false )
        = $false )
      | ( $false = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV35 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[426]) ).

thf(550,plain,
    ! [SV36: a,SV19: a > $o] :
      ( ( ( ! [SV77: a] :
              ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) )
                @ SV77 )
              = ( ~ ( SV19 @ SV77 ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV36 )
        = $false )
      | ( ( SV19 @ SV36 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[430]) ).

thf(551,plain,
    ! [SV36: a,SV19: a > $o] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) ) )
          = ( ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV36 )
        = $false )
      | ( ( SV19 @ SV36 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[430]) ).

thf(552,plain,
    ! [SV36: a,SV19: a > $o] :
      ( ( ( ! [SV78: a] :
              ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) )
                @ SV78 )
              = ( ~ ( SV19 @ SV78 ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV36 )
        = $true )
      | ( ( SV19 @ SV36 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[431]) ).

thf(553,plain,
    ! [SV36: a,SV19: a > $o] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) ) )
          = ( ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV36 )
        = $true )
      | ( ( SV19 @ SV36 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[431]) ).

thf(563,plain,
    ! [SV37: a] :
      ( ( ( ~ ( ~ ( sK1_Xg
                  @ ( sK2_SY4
                    @ ^ [SX0: a] : $true )
                  @ ( sK3_SV2
                    @ ^ [SX0: a] : $true ) )
              | ~ $true ) )
        = $false )
      | ( $true = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV37 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[442]) ).

thf(564,plain,
    ! [SV38: a] :
      ( ( ( ~ ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] : $false )
                @ ( sK3_SV2
                  @ ^ [SX0: a] : $false ) )
              | $false ) )
        = $false )
      | ( $false = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[444]) ).

thf(568,plain,
    ! [SV39: a,SV19: a > $o] :
      ( ( ( ~ ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) )
                @ ( sK3_SV2
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) ) )
              | ~ ( SV19
                  @ ( sK3_SV2
                    @ ^ [SX0: a] :
                        ~ ( SV19 @ SX0 ) ) ) )
          | ~ ( ~ ( sK1_Xg
                  @ ( sK2_SY4
                    @ ^ [SX0: a] :
                        ~ ( SV19 @ SX0 ) )
                  @ ( sK3_SV2
                    @ ^ [SX0: a] :
                        ~ ( SV19 @ SX0 ) ) )
              | ~ ~ ( SV19
                    @ ( sK3_SV2
                      @ ^ [SX0: a] :
                          ~ ( SV19 @ SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV39 )
        = $false )
      | ( ( SV19 @ SV39 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[448]) ).

thf(570,plain,
    ! [SV39: a,SV19: a > $o] :
      ( ( ( ~ ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) )
                @ ( sK3_SV2
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) ) )
              | ~ ( SV19
                  @ ( sK3_SV2
                    @ ^ [SX0: a] :
                        ~ ( SV19 @ SX0 ) ) ) )
          | ~ ( ~ ( sK1_Xg
                  @ ( sK2_SY4
                    @ ^ [SX0: a] :
                        ~ ( SV19 @ SX0 ) )
                  @ ( sK3_SV2
                    @ ^ [SX0: a] :
                        ~ ( SV19 @ SX0 ) ) )
              | ~ ~ ( SV19
                    @ ( sK3_SV2
                      @ ^ [SX0: a] :
                          ~ ( SV19 @ SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV39 )
        = $true )
      | ( ( SV19 @ SV39 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[449]) ).

thf(573,plain,
    ! [SV6: a] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] : $true )
            @ ( sK16_SV60 @ SV6 ) )
          = $true )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV6 )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[452]) ).

thf(574,plain,
    ! [SV6: a] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] : $false )
            @ ( sK17_SV61 @ SV6 ) )
          = $false )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV6 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[454]) ).

thf(576,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) )
            @ ( sK19_SV63 @ SV6 @ SV19 ) )
          = ( ~ ( SV19 @ ( sK19_SV63 @ SV6 @ SV19 ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $false )
      | ( ( ~ ( SV19 @ SV6 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[458]) ).

thf(577,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( SV19 @ SV6 )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $false )
      | ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) ) )
          = ( ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[459]) ).

thf(578,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) )
            @ ( sK20_SV64 @ SV6 @ SV19 ) )
          = ( ~ ( SV19 @ ( sK20_SV64 @ SV6 @ SV19 ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $true )
      | ( ( ~ ( SV19 @ SV6 ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[460]) ).

thf(579,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( SV19 @ SV6 )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $true )
      | ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) ) )
          = ( ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[461]) ).

thf(583,plain,
    ! [SV8: a] :
      ( ( ( ~ ( ~ ( sK1_Xg
                  @ ( sK2_SY4
                    @ ^ [SX0: a] : $true )
                  @ ( sK3_SV2
                    @ ^ [SX0: a] : $true ) )
              | ~ $true ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV8 )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[465]) ).

thf(584,plain,
    ! [SV8: a] :
      ( ( ( ~ ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] : $false )
                @ ( sK3_SV2
                  @ ^ [SX0: a] : $false ) )
              | $false ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV8 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[467]) ).

thf(588,plain,
    ! [SV8: a,SV19: a > $o] :
      ( ( ( ~ ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) )
                @ ( sK3_SV2
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) ) )
              | ~ ( SV19
                  @ ( sK3_SV2
                    @ ^ [SX0: a] :
                        ~ ( SV19 @ SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV8 )
        = $false )
      | ( ( ~ ( SV19 @ SV8 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[471]) ).

thf(589,plain,
    ! [SV8: a,SV19: a > $o] :
      ( ( ( ~ ( ~ ( sK1_Xg
                  @ ( sK2_SY4
                    @ ^ [SX0: a] :
                        ~ ( SV19 @ SX0 ) )
                  @ ( sK3_SV2
                    @ ^ [SX0: a] :
                        ~ ( SV19 @ SX0 ) ) )
              | ~ ~ ( SV19
                    @ ( sK3_SV2
                      @ ^ [SX0: a] :
                          ~ ( SV19 @ SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV8 )
        = $false )
      | ( ( ~ ( SV19 @ SV8 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[471]) ).

thf(591,plain,
    ! [SV8: a,SV19: a > $o] :
      ( ( ( ~ ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) )
                @ ( sK3_SV2
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) ) )
              | ~ ( SV19
                  @ ( sK3_SV2
                    @ ^ [SX0: a] :
                        ~ ( SV19 @ SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV8 )
        = $true )
      | ( ( ~ ( SV19 @ SV8 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[473]) ).

thf(592,plain,
    ! [SV8: a,SV19: a > $o] :
      ( ( ( ~ ( ~ ( sK1_Xg
                  @ ( sK2_SY4
                    @ ^ [SX0: a] :
                        ~ ( SV19 @ SX0 ) )
                  @ ( sK3_SV2
                    @ ^ [SX0: a] :
                        ~ ( SV19 @ SX0 ) ) )
              | ~ ~ ( SV19
                    @ ( sK3_SV2
                      @ ^ [SX0: a] :
                          ~ ( SV19 @ SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV8 )
        = $true )
      | ( ( ~ ( SV19 @ SV8 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[473]) ).

thf(594,plain,
    ! [SV42: a,SV19: a > $o] :
      ( ( ( SV19
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV42 )
        = $false )
      | ( ( SV19 @ SV42 )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[475]) ).

thf(595,plain,
    ! [SV42: a,SV19: a > $o] :
      ( ( ( SV19
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV42 )
        = $true )
      | ( ( SV19 @ SV42 )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[476]) ).

thf(596,plain,
    ! [SV10: a,SV19: a > $o] :
      ( ( ( SV19 @ SV10 )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV10 )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $true )
      | ( ( SV19
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[478]) ).

thf(597,plain,
    ! [SV10: a,SV19: a > $o] :
      ( ( ( SV19 @ SV10 )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV10 )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $true )
      | ( ( SV19
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[479]) ).

thf(598,plain,
    ! [SV45: a,SV19: a > $o] :
      ( ( ( SV19
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV45 )
        = $false )
      | ( ( SV19 @ SV45 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[480]) ).

thf(599,plain,
    ! [SV45: a,SV19: a > $o] :
      ( ( ( SV19
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV45 )
        = $true )
      | ( ( SV19 @ SV45 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[481]) ).

thf(605,plain,
    ! [SV6: a] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] : $false )
            @ ( sK25_SV69 @ SV6 ) )
          = $false )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV6 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[493]) ).

thf(606,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( ! [SV79: a] :
              ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) )
                @ SV79 )
              = ( ~ ( SV19 @ SV79 ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $false )
      | ( ( SV19 @ SV6 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[495]) ).

thf(607,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) ) )
          = ( ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $false )
      | ( ( SV19 @ SV6 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[495]) ).

thf(608,plain,
    ! [SV6: a] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] : $true )
            @ ( sK26_SV70 @ SV6 ) )
          = $true )
        = $false )
      | ( $true = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV6 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[496]) ).

thf(610,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( ! [SV80: a] :
              ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) )
                @ SV80 )
              = ( ~ ( SV19 @ SV80 ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $true )
      | ( ( SV19 @ SV6 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[500]) ).

thf(611,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) ) )
          = ( ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $true )
      | ( ( SV19 @ SV6 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[500]) ).

thf(615,plain,
    ! [SV12: a,SV19: a > $o] :
      ( ( ( SV19 @ SV12 )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV12 )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( SV19
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[506]) ).

thf(616,plain,
    ! [SV12: a,SV19: a > $o] :
      ( ( ( SV19 @ SV12 )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV12 )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( SV19
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[507]) ).

thf(625,plain,
    ! [SV8: a] :
      ( ( ( ~ ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] : $false )
                @ ( sK3_SV2
                  @ ^ [SX0: a] : $false ) )
              | $false ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV8 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[516]) ).

thf(627,plain,
    ! [SV8: a,SV19: a > $o] :
      ( ( ( ~ ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) )
                @ ( sK3_SV2
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) ) )
              | ~ ( SV19
                  @ ( sK3_SV2
                    @ ^ [SX0: a] :
                        ~ ( SV19 @ SX0 ) ) ) )
          | ~ ( ~ ( sK1_Xg
                  @ ( sK2_SY4
                    @ ^ [SX0: a] :
                        ~ ( SV19 @ SX0 ) )
                  @ ( sK3_SV2
                    @ ^ [SX0: a] :
                        ~ ( SV19 @ SX0 ) ) )
              | ~ ~ ( SV19
                    @ ( sK3_SV2
                      @ ^ [SX0: a] :
                          ~ ( SV19 @ SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV8 )
        = $false )
      | ( ( SV19 @ SV8 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[518]) ).

thf(630,plain,
    ! [SV8: a] :
      ( ( ( ~ ( ~ ( sK1_Xg
                  @ ( sK2_SY4
                    @ ^ [SX0: a] : $true )
                  @ ( sK3_SV2
                    @ ^ [SX0: a] : $true ) )
              | ~ $true ) )
        = $false )
      | ( $true = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV8 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[519]) ).

thf(633,plain,
    ! [SV8: a,SV19: a > $o] :
      ( ( ( ~ ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) )
                @ ( sK3_SV2
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) ) )
              | ~ ( SV19
                  @ ( sK3_SV2
                    @ ^ [SX0: a] :
                        ~ ( SV19 @ SX0 ) ) ) )
          | ~ ( ~ ( sK1_Xg
                  @ ( sK2_SY4
                    @ ^ [SX0: a] :
                        ~ ( SV19 @ SX0 ) )
                  @ ( sK3_SV2
                    @ ^ [SX0: a] :
                        ~ ( SV19 @ SX0 ) ) )
              | ~ ~ ( SV19
                    @ ( sK3_SV2
                      @ ^ [SX0: a] :
                          ~ ( SV19 @ SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV8 )
        = $true )
      | ( ( SV19 @ SV8 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[523]) ).

thf(640,plain,
    ! [SV10: a,SV19: a > $o] :
      ( ( ( SV19
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV10 )
        = $false )
      | ( ( SV19 @ SV10 )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[530]) ).

thf(641,plain,
    ! [SV10: a,SV19: a > $o] :
      ( ( ( SV19
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV10 )
        = $true )
      | ( ( SV19 @ SV10 )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[531]) ).

thf(643,plain,
    ! [SV12: a,SV19: a > $o] :
      ( ( ( SV19
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV12 )
        = $false )
      | ( ( SV19 @ SV12 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[534]) ).

thf(644,plain,
    ! [SV12: a,SV19: a > $o] :
      ( ( ( SV19
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV12 )
        = $true )
      | ( ( SV19 @ SV12 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[535]) ).

thf(648,plain,
    ! [SV74: a] :
      ( ( ( ~ ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] : $true )
                @ SV74 )
              | $true )
          | ~ ( ~ ( sK1_Xg
                  @ ( sK2_SY4
                    @ ^ [SX0: a] : $true )
                  @ SV74 )
              | ~ $true ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[538]) ).

thf(652,plain,
    ! [SV75: a] :
      ( ( ( ~ ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] : $false )
                @ SV75 )
              | $false )
          | ~ ( ~ ( sK1_Xg
                  @ ( sK2_SY4
                    @ ^ [SX0: a] : $false )
                  @ SV75 )
              | ~ $false ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[540]) ).

thf(656,plain,
    ! [SV76: a,SV19: a > $o] :
      ( ( ( ~ ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) )
                @ SV76 )
              | ~ ( SV19 @ SV76 ) )
          | ~ ( ~ ( sK1_Xg
                  @ ( sK2_SY4
                    @ ^ [SX0: a] :
                        ~ ( SV19 @ SX0 ) )
                  @ SV76 )
              | ~ ~ ( SV19 @ SV76 ) ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[542]) ).

thf(657,plain,
    ! [SV76: a,SV19: a > $o] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) )
            @ SV76 )
          = ( ~ ( SV19 @ SV76 ) ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[542]) ).

thf(666,plain,
    ! [SV34: a] :
      ( ( ( ~ ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] : $true )
                @ ( sK12_SV56 @ SV34 ) )
              | $true )
          | ~ ( ~ ( sK1_Xg
                  @ ( sK2_SY4
                    @ ^ [SX0: a] : $true )
                  @ ( sK12_SV56 @ SV34 ) )
              | ~ $true ) )
        = $false )
      | ( $true = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV34 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[547]) ).

thf(668,plain,
    ! [SV35: a] :
      ( ( ( ~ ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] : $false )
                @ ( sK13_SV57 @ SV35 ) )
              | $false )
          | ~ ( ~ ( sK1_Xg
                  @ ( sK2_SY4
                    @ ^ [SX0: a] : $false )
                  @ ( sK13_SV57 @ SV35 ) )
              | ~ $false ) )
        = $false )
      | ( $false = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV35 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[548]) ).

thf(672,plain,
    ! [SV36: a,SV19: a > $o] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) )
            @ ( sK30_SV77 @ SV36 @ SV19 ) )
          = ( ~ ( SV19 @ ( sK30_SV77 @ SV36 @ SV19 ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV36 )
        = $false )
      | ( ( SV19 @ SV36 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[550]) ).

thf(673,plain,
    ! [SV36: a,SV19: a > $o] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) )
            @ ( sK31_SV78 @ SV36 @ SV19 ) )
          = ( ~ ( SV19 @ ( sK31_SV78 @ SV36 @ SV19 ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV36 )
        = $true )
      | ( ( SV19 @ SV36 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[552]) ).

thf(683,plain,
    ! [SV37: a] :
      ( ( ( ~ ( sK1_Xg
              @ ( sK2_SY4
                @ ^ [SX0: a] : $true )
              @ ( sK3_SV2
                @ ^ [SX0: a] : $true ) )
          | ~ $true )
        = $true )
      | ( $true = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV37 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[563]) ).

thf(684,plain,
    ! [SV38: a] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] : $false )
            @ ( sK3_SV2
              @ ^ [SX0: a] : $false ) )
          | $false )
        = $true )
      | ( $false = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[564]) ).

thf(688,plain,
    ! [SV39: a,SV19: a > $o] :
      ( ( ( ~ ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) )
                @ ( sK3_SV2
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) ) )
              | ~ ( SV19
                  @ ( sK3_SV2
                    @ ^ [SX0: a] :
                        ~ ( SV19 @ SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV39 )
        = $false )
      | ( ( SV19 @ SV39 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[568]) ).

thf(689,plain,
    ! [SV39: a,SV19: a > $o] :
      ( ( ( ~ ( ~ ( sK1_Xg
                  @ ( sK2_SY4
                    @ ^ [SX0: a] :
                        ~ ( SV19 @ SX0 ) )
                  @ ( sK3_SV2
                    @ ^ [SX0: a] :
                        ~ ( SV19 @ SX0 ) ) )
              | ~ ~ ( SV19
                    @ ( sK3_SV2
                      @ ^ [SX0: a] :
                          ~ ( SV19 @ SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV39 )
        = $false )
      | ( ( SV19 @ SV39 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[568]) ).

thf(690,plain,
    ! [SV39: a,SV19: a > $o] :
      ( ( ( ~ ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) )
                @ ( sK3_SV2
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) ) )
              | ~ ( SV19
                  @ ( sK3_SV2
                    @ ^ [SX0: a] :
                        ~ ( SV19 @ SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV39 )
        = $true )
      | ( ( SV19 @ SV39 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[570]) ).

thf(691,plain,
    ! [SV39: a,SV19: a > $o] :
      ( ( ( ~ ( ~ ( sK1_Xg
                  @ ( sK2_SY4
                    @ ^ [SX0: a] :
                        ~ ( SV19 @ SX0 ) )
                  @ ( sK3_SV2
                    @ ^ [SX0: a] :
                        ~ ( SV19 @ SX0 ) ) )
              | ~ ~ ( SV19
                    @ ( sK3_SV2
                      @ ^ [SX0: a] :
                          ~ ( SV19 @ SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV39 )
        = $true )
      | ( ( SV19 @ SV39 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[570]) ).

thf(694,plain,
    ! [SV6: a] :
      ( ( ( ~ ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] : $true )
                @ ( sK16_SV60 @ SV6 ) )
              | $true )
          | ~ ( ~ ( sK1_Xg
                  @ ( sK2_SY4
                    @ ^ [SX0: a] : $true )
                  @ ( sK16_SV60 @ SV6 ) )
              | ~ $true ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV6 )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[573]) ).

thf(696,plain,
    ! [SV6: a] :
      ( ( ( ~ ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] : $false )
                @ ( sK17_SV61 @ SV6 ) )
              | $false )
          | ~ ( ~ ( sK1_Xg
                  @ ( sK2_SY4
                    @ ^ [SX0: a] : $false )
                  @ ( sK17_SV61 @ SV6 ) )
              | ~ $false ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV6 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[574]) ).

thf(700,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( ~ ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) )
                @ ( sK19_SV63 @ SV6 @ SV19 ) )
              | ~ ( SV19 @ ( sK19_SV63 @ SV6 @ SV19 ) ) )
          | ~ ( ~ ( sK1_Xg
                  @ ( sK2_SY4
                    @ ^ [SX0: a] :
                        ~ ( SV19 @ SX0 ) )
                  @ ( sK19_SV63 @ SV6 @ SV19 ) )
              | ~ ~ ( SV19 @ ( sK19_SV63 @ SV6 @ SV19 ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $false )
      | ( ( ~ ( SV19 @ SV6 ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[576]) ).

thf(702,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( ~ ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) )
                @ ( sK20_SV64 @ SV6 @ SV19 ) )
              | ~ ( SV19 @ ( sK20_SV64 @ SV6 @ SV19 ) ) )
          | ~ ( ~ ( sK1_Xg
                  @ ( sK2_SY4
                    @ ^ [SX0: a] :
                        ~ ( SV19 @ SX0 ) )
                  @ ( sK20_SV64 @ SV6 @ SV19 ) )
              | ~ ~ ( SV19 @ ( sK20_SV64 @ SV6 @ SV19 ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $true )
      | ( ( ~ ( SV19 @ SV6 ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[578]) ).

thf(707,plain,
    ! [SV8: a] :
      ( ( ( ~ ( sK1_Xg
              @ ( sK2_SY4
                @ ^ [SX0: a] : $true )
              @ ( sK3_SV2
                @ ^ [SX0: a] : $true ) )
          | ~ $true )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV8 )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[583]) ).

thf(708,plain,
    ! [SV8: a] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] : $false )
            @ ( sK3_SV2
              @ ^ [SX0: a] : $false ) )
          | $false )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV8 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[584]) ).

thf(712,plain,
    ! [SV8: a,SV19: a > $o] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) )
            @ ( sK3_SV2
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) ) )
          | ~ ( SV19
              @ ( sK3_SV2
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV8 )
        = $false )
      | ( ( ~ ( SV19 @ SV8 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[588]) ).

thf(713,plain,
    ! [SV8: a,SV19: a > $o] :
      ( ( ( ~ ( sK1_Xg
              @ ( sK2_SY4
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) )
              @ ( sK3_SV2
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) ) )
          | ~ ~ ( SV19
                @ ( sK3_SV2
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV8 )
        = $false )
      | ( ( ~ ( SV19 @ SV8 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[589]) ).

thf(714,plain,
    ! [SV8: a,SV19: a > $o] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) )
            @ ( sK3_SV2
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) ) )
          | ~ ( SV19
              @ ( sK3_SV2
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV8 )
        = $true )
      | ( ( ~ ( SV19 @ SV8 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[591]) ).

thf(715,plain,
    ! [SV8: a,SV19: a > $o] :
      ( ( ( ~ ( sK1_Xg
              @ ( sK2_SY4
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) )
              @ ( sK3_SV2
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) ) )
          | ~ ~ ( SV19
                @ ( sK3_SV2
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV8 )
        = $true )
      | ( ( ~ ( SV19 @ SV8 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[592]) ).

thf(724,plain,
    ! [SV6: a] :
      ( ( ( ~ ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] : $false )
                @ ( sK25_SV69 @ SV6 ) )
              | $false )
          | ~ ( ~ ( sK1_Xg
                  @ ( sK2_SY4
                    @ ^ [SX0: a] : $false )
                  @ ( sK25_SV69 @ SV6 ) )
              | ~ $false ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV6 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[605]) ).

thf(726,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) )
            @ ( sK32_SV79 @ SV6 @ SV19 ) )
          = ( ~ ( SV19 @ ( sK32_SV79 @ SV6 @ SV19 ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $false )
      | ( ( SV19 @ SV6 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[606]) ).

thf(727,plain,
    ! [SV6: a] :
      ( ( ( ~ ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] : $true )
                @ ( sK26_SV70 @ SV6 ) )
              | $true )
          | ~ ( ~ ( sK1_Xg
                  @ ( sK2_SY4
                    @ ^ [SX0: a] : $true )
                  @ ( sK26_SV70 @ SV6 ) )
              | ~ $true ) )
        = $false )
      | ( $true = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV6 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[608]) ).

thf(731,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) )
            @ ( sK33_SV80 @ SV6 @ SV19 ) )
          = ( ~ ( SV19 @ ( sK33_SV80 @ SV6 @ SV19 ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $true )
      | ( ( SV19 @ SV6 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[610]) ).

thf(746,plain,
    ! [SV8: a] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] : $false )
            @ ( sK3_SV2
              @ ^ [SX0: a] : $false ) )
          | $false )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV8 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[625]) ).

thf(748,plain,
    ! [SV8: a,SV19: a > $o] :
      ( ( ( ~ ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) )
                @ ( sK3_SV2
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) ) )
              | ~ ( SV19
                  @ ( sK3_SV2
                    @ ^ [SX0: a] :
                        ~ ( SV19 @ SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV8 )
        = $false )
      | ( ( SV19 @ SV8 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[627]) ).

thf(749,plain,
    ! [SV8: a,SV19: a > $o] :
      ( ( ( ~ ( ~ ( sK1_Xg
                  @ ( sK2_SY4
                    @ ^ [SX0: a] :
                        ~ ( SV19 @ SX0 ) )
                  @ ( sK3_SV2
                    @ ^ [SX0: a] :
                        ~ ( SV19 @ SX0 ) ) )
              | ~ ~ ( SV19
                    @ ( sK3_SV2
                      @ ^ [SX0: a] :
                          ~ ( SV19 @ SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV8 )
        = $false )
      | ( ( SV19 @ SV8 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[627]) ).

thf(751,plain,
    ! [SV8: a] :
      ( ( ( ~ ( sK1_Xg
              @ ( sK2_SY4
                @ ^ [SX0: a] : $true )
              @ ( sK3_SV2
                @ ^ [SX0: a] : $true ) )
          | ~ $true )
        = $true )
      | ( $true = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV8 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[630]) ).

thf(754,plain,
    ! [SV8: a,SV19: a > $o] :
      ( ( ( ~ ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) )
                @ ( sK3_SV2
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) ) )
              | ~ ( SV19
                  @ ( sK3_SV2
                    @ ^ [SX0: a] :
                        ~ ( SV19 @ SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV8 )
        = $true )
      | ( ( SV19 @ SV8 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[633]) ).

thf(755,plain,
    ! [SV8: a,SV19: a > $o] :
      ( ( ( ~ ( ~ ( sK1_Xg
                  @ ( sK2_SY4
                    @ ^ [SX0: a] :
                        ~ ( SV19 @ SX0 ) )
                  @ ( sK3_SV2
                    @ ^ [SX0: a] :
                        ~ ( SV19 @ SX0 ) ) )
              | ~ ~ ( SV19
                    @ ( sK3_SV2
                      @ ^ [SX0: a] :
                          ~ ( SV19 @ SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV8 )
        = $true )
      | ( ( SV19 @ SV8 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[633]) ).

thf(766,plain,
    ! [SV74: a] :
      ( ( ( ~ ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] : $true )
                @ SV74 )
              | $true ) )
        = $true )
      | ( ( ~ ( ~ ( sK1_Xg
                  @ ( sK2_SY4
                    @ ^ [SX0: a] : $true )
                  @ SV74 )
              | ~ $true ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[648]) ).

thf(769,plain,
    ! [SV75: a] :
      ( ( ( ~ ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] : $false )
                @ SV75 )
              | $false ) )
        = $true )
      | ( ( ~ ( ~ ( sK1_Xg
                  @ ( sK2_SY4
                    @ ^ [SX0: a] : $false )
                  @ SV75 )
              | ~ $false ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[652]) ).

thf(772,plain,
    ! [SV76: a,SV19: a > $o] :
      ( ( ( ~ ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) )
                @ SV76 )
              | ~ ( SV19 @ SV76 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK1_Xg
                  @ ( sK2_SY4
                    @ ^ [SX0: a] :
                        ~ ( SV19 @ SX0 ) )
                  @ SV76 )
              | ~ ~ ( SV19 @ SV76 ) ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[656]) ).

thf(782,plain,
    ! [SV34: a] :
      ( ( ( ~ ( ~ ( sK1_Xg
                  @ ( sK2_SY4
                    @ ^ [SX0: a] : $true )
                  @ ( sK12_SV56 @ SV34 ) )
              | ~ $true ) )
        = $false )
      | ( $true = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV34 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[666]) ).

thf(783,plain,
    ! [SV35: a] :
      ( ( ( ~ ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] : $false )
                @ ( sK13_SV57 @ SV35 ) )
              | $false ) )
        = $false )
      | ( $false = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[668]) ).

thf(787,plain,
    ! [SV36: a,SV19: a > $o] :
      ( ( ( ~ ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) )
                @ ( sK30_SV77 @ SV36 @ SV19 ) )
              | ~ ( SV19 @ ( sK30_SV77 @ SV36 @ SV19 ) ) )
          | ~ ( ~ ( sK1_Xg
                  @ ( sK2_SY4
                    @ ^ [SX0: a] :
                        ~ ( SV19 @ SX0 ) )
                  @ ( sK30_SV77 @ SV36 @ SV19 ) )
              | ~ ~ ( SV19 @ ( sK30_SV77 @ SV36 @ SV19 ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV36 )
        = $false )
      | ( ( SV19 @ SV36 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[672]) ).

thf(789,plain,
    ! [SV36: a,SV19: a > $o] :
      ( ( ( ~ ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) )
                @ ( sK31_SV78 @ SV36 @ SV19 ) )
              | ~ ( SV19 @ ( sK31_SV78 @ SV36 @ SV19 ) ) )
          | ~ ( ~ ( sK1_Xg
                  @ ( sK2_SY4
                    @ ^ [SX0: a] :
                        ~ ( SV19 @ SX0 ) )
                  @ ( sK31_SV78 @ SV36 @ SV19 ) )
              | ~ ~ ( SV19 @ ( sK31_SV78 @ SV36 @ SV19 ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV36 )
        = $true )
      | ( ( SV19 @ SV36 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[673]) ).

thf(800,plain,
    ! [SV37: a] :
      ( ( ( ~ ( sK1_Xg
              @ ( sK2_SY4
                @ ^ [SX0: a] : $true )
              @ ( sK3_SV2
                @ ^ [SX0: a] : $true ) ) )
        = $true )
      | ( ( ~ $true ) = $true )
      | ( $true = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV37 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[683]) ).

thf(801,plain,
    ! [SV38: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ ( sK3_SV2
            @ ^ [SX0: a] : $false ) )
        = $true )
      | ( $false = $true )
      | ( $false = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[684]) ).

thf(805,plain,
    ! [SV39: a,SV19: a > $o] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) )
            @ ( sK3_SV2
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) ) )
          | ~ ( SV19
              @ ( sK3_SV2
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV39 )
        = $false )
      | ( ( SV19 @ SV39 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[688]) ).

thf(806,plain,
    ! [SV39: a,SV19: a > $o] :
      ( ( ( ~ ( sK1_Xg
              @ ( sK2_SY4
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) )
              @ ( sK3_SV2
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) ) )
          | ~ ~ ( SV19
                @ ( sK3_SV2
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV39 )
        = $false )
      | ( ( SV19 @ SV39 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[689]) ).

thf(807,plain,
    ! [SV39: a,SV19: a > $o] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) )
            @ ( sK3_SV2
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) ) )
          | ~ ( SV19
              @ ( sK3_SV2
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV39 )
        = $true )
      | ( ( SV19 @ SV39 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[690]) ).

thf(808,plain,
    ! [SV39: a,SV19: a > $o] :
      ( ( ( ~ ( sK1_Xg
              @ ( sK2_SY4
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) )
              @ ( sK3_SV2
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) ) )
          | ~ ~ ( SV19
                @ ( sK3_SV2
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV39 )
        = $true )
      | ( ( SV19 @ SV39 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[691]) ).

thf(812,plain,
    ! [SV6: a] :
      ( ( ( ~ ( ~ ( sK1_Xg
                  @ ( sK2_SY4
                    @ ^ [SX0: a] : $true )
                  @ ( sK16_SV60 @ SV6 ) )
              | ~ $true ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV6 )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[694]) ).

thf(813,plain,
    ! [SV6: a] :
      ( ( ( ~ ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] : $false )
                @ ( sK17_SV61 @ SV6 ) )
              | $false ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV6 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[696]) ).

thf(817,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( ~ ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) )
                @ ( sK19_SV63 @ SV6 @ SV19 ) )
              | ~ ( SV19 @ ( sK19_SV63 @ SV6 @ SV19 ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $false )
      | ( ( ~ ( SV19 @ SV6 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[700]) ).

thf(818,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( ~ ( ~ ( sK1_Xg
                  @ ( sK2_SY4
                    @ ^ [SX0: a] :
                        ~ ( SV19 @ SX0 ) )
                  @ ( sK19_SV63 @ SV6 @ SV19 ) )
              | ~ ~ ( SV19 @ ( sK19_SV63 @ SV6 @ SV19 ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $false )
      | ( ( ~ ( SV19 @ SV6 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[700]) ).

thf(820,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( ~ ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) )
                @ ( sK20_SV64 @ SV6 @ SV19 ) )
              | ~ ( SV19 @ ( sK20_SV64 @ SV6 @ SV19 ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $true )
      | ( ( ~ ( SV19 @ SV6 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[702]) ).

thf(821,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( ~ ( ~ ( sK1_Xg
                  @ ( sK2_SY4
                    @ ^ [SX0: a] :
                        ~ ( SV19 @ SX0 ) )
                  @ ( sK20_SV64 @ SV6 @ SV19 ) )
              | ~ ~ ( SV19 @ ( sK20_SV64 @ SV6 @ SV19 ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $true )
      | ( ( ~ ( SV19 @ SV6 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[702]) ).

thf(826,plain,
    ! [SV8: a] :
      ( ( ( ~ ( sK1_Xg
              @ ( sK2_SY4
                @ ^ [SX0: a] : $true )
              @ ( sK3_SV2
                @ ^ [SX0: a] : $true ) ) )
        = $true )
      | ( ( ~ $true ) = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV8 )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[707]) ).

thf(827,plain,
    ! [SV8: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ ( sK3_SV2
            @ ^ [SX0: a] : $false ) )
        = $true )
      | ( $false = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV8 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[708]) ).

thf(831,plain,
    ! [SV8: a,SV19: a > $o] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $true )
      | ( ( ~ ( SV19
              @ ( sK3_SV2
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV8 )
        = $false )
      | ( ( ~ ( SV19 @ SV8 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[712]) ).

thf(832,plain,
    ! [SV8: a,SV19: a > $o] :
      ( ( ( ~ ( sK1_Xg
              @ ( sK2_SY4
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) )
              @ ( sK3_SV2
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) ) ) )
        = $true )
      | ( ( ~ ~ ( SV19
                @ ( sK3_SV2
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV8 )
        = $false )
      | ( ( ~ ( SV19 @ SV8 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[713]) ).

thf(833,plain,
    ! [SV8: a,SV19: a > $o] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $true )
      | ( ( ~ ( SV19
              @ ( sK3_SV2
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV8 )
        = $true )
      | ( ( ~ ( SV19 @ SV8 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[714]) ).

thf(834,plain,
    ! [SV8: a,SV19: a > $o] :
      ( ( ( ~ ( sK1_Xg
              @ ( sK2_SY4
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) )
              @ ( sK3_SV2
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) ) ) )
        = $true )
      | ( ( ~ ~ ( SV19
                @ ( sK3_SV2
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV8 )
        = $true )
      | ( ( ~ ( SV19 @ SV8 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[715]) ).

thf(843,plain,
    ! [SV6: a] :
      ( ( ( ~ ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] : $false )
                @ ( sK25_SV69 @ SV6 ) )
              | $false ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV6 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[724]) ).

thf(845,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( ~ ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) )
                @ ( sK32_SV79 @ SV6 @ SV19 ) )
              | ~ ( SV19 @ ( sK32_SV79 @ SV6 @ SV19 ) ) )
          | ~ ( ~ ( sK1_Xg
                  @ ( sK2_SY4
                    @ ^ [SX0: a] :
                        ~ ( SV19 @ SX0 ) )
                  @ ( sK32_SV79 @ SV6 @ SV19 ) )
              | ~ ~ ( SV19 @ ( sK32_SV79 @ SV6 @ SV19 ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $false )
      | ( ( SV19 @ SV6 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[726]) ).

thf(848,plain,
    ! [SV6: a] :
      ( ( ( ~ ( ~ ( sK1_Xg
                  @ ( sK2_SY4
                    @ ^ [SX0: a] : $true )
                  @ ( sK26_SV70 @ SV6 ) )
              | ~ $true ) )
        = $false )
      | ( $true = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV6 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[727]) ).

thf(851,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( ~ ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) )
                @ ( sK33_SV80 @ SV6 @ SV19 ) )
              | ~ ( SV19 @ ( sK33_SV80 @ SV6 @ SV19 ) ) )
          | ~ ( ~ ( sK1_Xg
                  @ ( sK2_SY4
                    @ ^ [SX0: a] :
                        ~ ( SV19 @ SX0 ) )
                  @ ( sK33_SV80 @ SV6 @ SV19 ) )
              | ~ ~ ( SV19 @ ( sK33_SV80 @ SV6 @ SV19 ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $true )
      | ( ( SV19 @ SV6 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[731]) ).

thf(866,plain,
    ! [SV8: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ ( sK3_SV2
            @ ^ [SX0: a] : $false ) )
        = $true )
      | ( $false = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV8 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[746]) ).

thf(868,plain,
    ! [SV8: a,SV19: a > $o] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) )
            @ ( sK3_SV2
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) ) )
          | ~ ( SV19
              @ ( sK3_SV2
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV8 )
        = $false )
      | ( ( SV19 @ SV8 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[748]) ).

thf(869,plain,
    ! [SV8: a,SV19: a > $o] :
      ( ( ( ~ ( sK1_Xg
              @ ( sK2_SY4
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) )
              @ ( sK3_SV2
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) ) )
          | ~ ~ ( SV19
                @ ( sK3_SV2
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV8 )
        = $false )
      | ( ( SV19 @ SV8 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[749]) ).

thf(871,plain,
    ! [SV8: a] :
      ( ( ( ~ ( sK1_Xg
              @ ( sK2_SY4
                @ ^ [SX0: a] : $true )
              @ ( sK3_SV2
                @ ^ [SX0: a] : $true ) ) )
        = $true )
      | ( ( ~ $true ) = $true )
      | ( $true = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV8 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[751]) ).

thf(874,plain,
    ! [SV8: a,SV19: a > $o] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) )
            @ ( sK3_SV2
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) ) )
          | ~ ( SV19
              @ ( sK3_SV2
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV8 )
        = $true )
      | ( ( SV19 @ SV8 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[754]) ).

thf(875,plain,
    ! [SV8: a,SV19: a > $o] :
      ( ( ( ~ ( sK1_Xg
              @ ( sK2_SY4
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) )
              @ ( sK3_SV2
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) ) )
          | ~ ~ ( SV19
                @ ( sK3_SV2
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV8 )
        = $true )
      | ( ( SV19 @ SV8 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[755]) ).

thf(884,plain,
    ! [SV74: a] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] : $true )
            @ SV74 )
          | $true )
        = $false )
      | ( ( ~ ( ~ ( sK1_Xg
                  @ ( sK2_SY4
                    @ ^ [SX0: a] : $true )
                  @ SV74 )
              | ~ $true ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[766]) ).

thf(887,plain,
    ! [SV75: a] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] : $false )
            @ SV75 )
          | $false )
        = $false )
      | ( ( ~ ( ~ ( sK1_Xg
                  @ ( sK2_SY4
                    @ ^ [SX0: a] : $false )
                  @ SV75 )
              | ~ $false ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[769]) ).

thf(890,plain,
    ! [SV76: a,SV19: a > $o] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) )
            @ SV76 )
          | ~ ( SV19 @ SV76 ) )
        = $false )
      | ( ( ~ ( ~ ( sK1_Xg
                  @ ( sK2_SY4
                    @ ^ [SX0: a] :
                        ~ ( SV19 @ SX0 ) )
                  @ SV76 )
              | ~ ~ ( SV19 @ SV76 ) ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[772]) ).

thf(900,plain,
    ! [SV34: a] :
      ( ( ( ~ ( sK1_Xg
              @ ( sK2_SY4
                @ ^ [SX0: a] : $true )
              @ ( sK12_SV56 @ SV34 ) )
          | ~ $true )
        = $true )
      | ( $true = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV34 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[782]) ).

thf(901,plain,
    ! [SV35: a] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] : $false )
            @ ( sK13_SV57 @ SV35 ) )
          | $false )
        = $true )
      | ( $false = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV35 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[783]) ).

thf(905,plain,
    ! [SV36: a,SV19: a > $o] :
      ( ( ( ~ ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) )
                @ ( sK30_SV77 @ SV36 @ SV19 ) )
              | ~ ( SV19 @ ( sK30_SV77 @ SV36 @ SV19 ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV36 )
        = $false )
      | ( ( SV19 @ SV36 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[787]) ).

thf(906,plain,
    ! [SV36: a,SV19: a > $o] :
      ( ( ( ~ ( ~ ( sK1_Xg
                  @ ( sK2_SY4
                    @ ^ [SX0: a] :
                        ~ ( SV19 @ SX0 ) )
                  @ ( sK30_SV77 @ SV36 @ SV19 ) )
              | ~ ~ ( SV19 @ ( sK30_SV77 @ SV36 @ SV19 ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV36 )
        = $false )
      | ( ( SV19 @ SV36 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[787]) ).

thf(907,plain,
    ! [SV36: a,SV19: a > $o] :
      ( ( ( ~ ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) )
                @ ( sK31_SV78 @ SV36 @ SV19 ) )
              | ~ ( SV19 @ ( sK31_SV78 @ SV36 @ SV19 ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV36 )
        = $true )
      | ( ( SV19 @ SV36 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[789]) ).

thf(908,plain,
    ! [SV36: a,SV19: a > $o] :
      ( ( ( ~ ( ~ ( sK1_Xg
                  @ ( sK2_SY4
                    @ ^ [SX0: a] :
                        ~ ( SV19 @ SX0 ) )
                  @ ( sK31_SV78 @ SV36 @ SV19 ) )
              | ~ ~ ( SV19 @ ( sK31_SV78 @ SV36 @ SV19 ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV36 )
        = $true )
      | ( ( SV19 @ SV36 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[789]) ).

thf(914,plain,
    ! [SV37: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ ( sK3_SV2
            @ ^ [SX0: a] : $true ) )
        = $false )
      | ( ( ~ $true ) = $true )
      | ( $true = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV37 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[800]) ).

thf(917,plain,
    ! [SV39: a,SV19: a > $o] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $true )
      | ( ( ~ ( SV19
              @ ( sK3_SV2
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV39 )
        = $false )
      | ( ( SV19 @ SV39 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[805]) ).

thf(918,plain,
    ! [SV39: a,SV19: a > $o] :
      ( ( ( ~ ( sK1_Xg
              @ ( sK2_SY4
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) )
              @ ( sK3_SV2
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) ) ) )
        = $true )
      | ( ( ~ ~ ( SV19
                @ ( sK3_SV2
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV39 )
        = $false )
      | ( ( SV19 @ SV39 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[806]) ).

thf(919,plain,
    ! [SV39: a,SV19: a > $o] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $true )
      | ( ( ~ ( SV19
              @ ( sK3_SV2
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV39 )
        = $true )
      | ( ( SV19 @ SV39 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[807]) ).

thf(920,plain,
    ! [SV39: a,SV19: a > $o] :
      ( ( ( ~ ( sK1_Xg
              @ ( sK2_SY4
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) )
              @ ( sK3_SV2
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) ) ) )
        = $true )
      | ( ( ~ ~ ( SV19
                @ ( sK3_SV2
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV39 )
        = $true )
      | ( ( SV19 @ SV39 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[808]) ).

thf(924,plain,
    ! [SV6: a] :
      ( ( ( ~ ( sK1_Xg
              @ ( sK2_SY4
                @ ^ [SX0: a] : $true )
              @ ( sK16_SV60 @ SV6 ) )
          | ~ $true )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV6 )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[812]) ).

thf(925,plain,
    ! [SV6: a] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] : $false )
            @ ( sK17_SV61 @ SV6 ) )
          | $false )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV6 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[813]) ).

thf(929,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) )
            @ ( sK19_SV63 @ SV6 @ SV19 ) )
          | ~ ( SV19 @ ( sK19_SV63 @ SV6 @ SV19 ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $false )
      | ( ( ~ ( SV19 @ SV6 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[817]) ).

thf(930,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( ~ ( sK1_Xg
              @ ( sK2_SY4
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) )
              @ ( sK19_SV63 @ SV6 @ SV19 ) )
          | ~ ~ ( SV19 @ ( sK19_SV63 @ SV6 @ SV19 ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $false )
      | ( ( ~ ( SV19 @ SV6 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[818]) ).

thf(931,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) )
            @ ( sK20_SV64 @ SV6 @ SV19 ) )
          | ~ ( SV19 @ ( sK20_SV64 @ SV6 @ SV19 ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $true )
      | ( ( ~ ( SV19 @ SV6 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[820]) ).

thf(932,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( ~ ( sK1_Xg
              @ ( sK2_SY4
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) )
              @ ( sK20_SV64 @ SV6 @ SV19 ) )
          | ~ ~ ( SV19 @ ( sK20_SV64 @ SV6 @ SV19 ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $true )
      | ( ( ~ ( SV19 @ SV6 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[821]) ).

thf(934,plain,
    ! [SV8: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ ( sK3_SV2
            @ ^ [SX0: a] : $true ) )
        = $false )
      | ( ( ~ $true ) = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV8 )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[826]) ).

thf(937,plain,
    ! [SV8: a,SV19: a > $o] :
      ( ( ( SV19
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV8 )
        = $false )
      | ( ( ~ ( SV19 @ SV8 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[831]) ).

thf(938,plain,
    ! [SV8: a,SV19: a > $o] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( ~ ~ ( SV19
                @ ( sK3_SV2
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV8 )
        = $false )
      | ( ( ~ ( SV19 @ SV8 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[832]) ).

thf(939,plain,
    ! [SV8: a,SV19: a > $o] :
      ( ( ( SV19
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV8 )
        = $true )
      | ( ( ~ ( SV19 @ SV8 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[833]) ).

thf(940,plain,
    ! [SV8: a,SV19: a > $o] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( ~ ~ ( SV19
                @ ( sK3_SV2
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV8 )
        = $true )
      | ( ( ~ ( SV19 @ SV8 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[834]) ).

thf(949,plain,
    ! [SV6: a] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] : $false )
            @ ( sK25_SV69 @ SV6 ) )
          | $false )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV6 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[843]) ).

thf(951,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( ~ ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) )
                @ ( sK32_SV79 @ SV6 @ SV19 ) )
              | ~ ( SV19 @ ( sK32_SV79 @ SV6 @ SV19 ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $false )
      | ( ( SV19 @ SV6 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[845]) ).

thf(952,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( ~ ( ~ ( sK1_Xg
                  @ ( sK2_SY4
                    @ ^ [SX0: a] :
                        ~ ( SV19 @ SX0 ) )
                  @ ( sK32_SV79 @ SV6 @ SV19 ) )
              | ~ ~ ( SV19 @ ( sK32_SV79 @ SV6 @ SV19 ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $false )
      | ( ( SV19 @ SV6 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[845]) ).

thf(954,plain,
    ! [SV6: a] :
      ( ( ( ~ ( sK1_Xg
              @ ( sK2_SY4
                @ ^ [SX0: a] : $true )
              @ ( sK26_SV70 @ SV6 ) )
          | ~ $true )
        = $true )
      | ( $true = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV6 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[848]) ).

thf(957,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( ~ ( ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) )
                @ ( sK33_SV80 @ SV6 @ SV19 ) )
              | ~ ( SV19 @ ( sK33_SV80 @ SV6 @ SV19 ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $true )
      | ( ( SV19 @ SV6 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[851]) ).

thf(958,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( ~ ( ~ ( sK1_Xg
                  @ ( sK2_SY4
                    @ ^ [SX0: a] :
                        ~ ( SV19 @ SX0 ) )
                  @ ( sK33_SV80 @ SV6 @ SV19 ) )
              | ~ ~ ( SV19 @ ( sK33_SV80 @ SV6 @ SV19 ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $true )
      | ( ( SV19 @ SV6 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[851]) ).

thf(971,plain,
    ! [SV8: a,SV19: a > $o] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $true )
      | ( ( ~ ( SV19
              @ ( sK3_SV2
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV8 )
        = $false )
      | ( ( SV19 @ SV8 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[868]) ).

thf(972,plain,
    ! [SV8: a,SV19: a > $o] :
      ( ( ( ~ ( sK1_Xg
              @ ( sK2_SY4
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) )
              @ ( sK3_SV2
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) ) ) )
        = $true )
      | ( ( ~ ~ ( SV19
                @ ( sK3_SV2
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV8 )
        = $false )
      | ( ( SV19 @ SV8 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[869]) ).

thf(973,plain,
    ! [SV8: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ ( sK3_SV2
            @ ^ [SX0: a] : $true ) )
        = $false )
      | ( ( ~ $true ) = $true )
      | ( $true = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV8 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[871]) ).

thf(975,plain,
    ! [SV8: a,SV19: a > $o] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $true )
      | ( ( ~ ( SV19
              @ ( sK3_SV2
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV8 )
        = $true )
      | ( ( SV19 @ SV8 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[874]) ).

thf(976,plain,
    ! [SV8: a,SV19: a > $o] :
      ( ( ( ~ ( sK1_Xg
              @ ( sK2_SY4
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) )
              @ ( sK3_SV2
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) ) ) )
        = $true )
      | ( ( ~ ~ ( SV19
                @ ( sK3_SV2
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV8 )
        = $true )
      | ( ( SV19 @ SV8 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[875]) ).

thf(984,plain,
    ! [SV74: a] :
      ( ( $true = $false )
      | ( ( ~ ( ~ ( sK1_Xg
                  @ ( sK2_SY4
                    @ ^ [SX0: a] : $true )
                  @ SV74 )
              | ~ $true ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[884]) ).

thf(987,plain,
    ! [SV75: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV75 )
        = $false )
      | ( ( ~ ( ~ ( sK1_Xg
                  @ ( sK2_SY4
                    @ ^ [SX0: a] : $false )
                  @ SV75 )
              | ~ $false ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[887]) ).

thf(991,plain,
    ! [SV76: a,SV19: a > $o] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV76 )
        = $false )
      | ( ( ~ ( ~ ( sK1_Xg
                  @ ( sK2_SY4
                    @ ^ [SX0: a] :
                        ~ ( SV19 @ SX0 ) )
                  @ SV76 )
              | ~ ~ ( SV19 @ SV76 ) ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[890]) ).

thf(992,plain,
    ! [SV76: a,SV19: a > $o] :
      ( ( ( ~ ( SV19 @ SV76 ) )
        = $false )
      | ( ( ~ ( ~ ( sK1_Xg
                  @ ( sK2_SY4
                    @ ^ [SX0: a] :
                        ~ ( SV19 @ SX0 ) )
                  @ SV76 )
              | ~ ~ ( SV19 @ SV76 ) ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[890]) ).

thf(1002,plain,
    ! [SV34: a] :
      ( ( ( ~ ( sK1_Xg
              @ ( sK2_SY4
                @ ^ [SX0: a] : $true )
              @ ( sK12_SV56 @ SV34 ) ) )
        = $true )
      | ( ( ~ $true ) = $true )
      | ( $true = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV34 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[900]) ).

thf(1003,plain,
    ! [SV35: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ ( sK13_SV57 @ SV35 ) )
        = $true )
      | ( $false = $true )
      | ( $false = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV35 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[901]) ).

thf(1007,plain,
    ! [SV36: a,SV19: a > $o] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) )
            @ ( sK30_SV77 @ SV36 @ SV19 ) )
          | ~ ( SV19 @ ( sK30_SV77 @ SV36 @ SV19 ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV36 )
        = $false )
      | ( ( SV19 @ SV36 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[905]) ).

thf(1008,plain,
    ! [SV36: a,SV19: a > $o] :
      ( ( ( ~ ( sK1_Xg
              @ ( sK2_SY4
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) )
              @ ( sK30_SV77 @ SV36 @ SV19 ) )
          | ~ ~ ( SV19 @ ( sK30_SV77 @ SV36 @ SV19 ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV36 )
        = $false )
      | ( ( SV19 @ SV36 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[906]) ).

thf(1009,plain,
    ! [SV36: a,SV19: a > $o] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) )
            @ ( sK31_SV78 @ SV36 @ SV19 ) )
          | ~ ( SV19 @ ( sK31_SV78 @ SV36 @ SV19 ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV36 )
        = $true )
      | ( ( SV19 @ SV36 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[907]) ).

thf(1010,plain,
    ! [SV36: a,SV19: a > $o] :
      ( ( ( ~ ( sK1_Xg
              @ ( sK2_SY4
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) )
              @ ( sK31_SV78 @ SV36 @ SV19 ) )
          | ~ ~ ( SV19 @ ( sK31_SV78 @ SV36 @ SV19 ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV36 )
        = $true )
      | ( ( SV19 @ SV36 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[908]) ).

thf(1015,plain,
    ! [SV37: a] :
      ( ( $true = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ ( sK3_SV2
            @ ^ [SX0: a] : $true ) )
        = $false )
      | ( $true = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV37 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[914]) ).

thf(1018,plain,
    ! [SV39: a,SV19: a > $o] :
      ( ( ( SV19
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV39 )
        = $false )
      | ( ( SV19 @ SV39 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[917]) ).

thf(1019,plain,
    ! [SV39: a,SV19: a > $o] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( ~ ~ ( SV19
                @ ( sK3_SV2
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV39 )
        = $false )
      | ( ( SV19 @ SV39 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[918]) ).

thf(1020,plain,
    ! [SV39: a,SV19: a > $o] :
      ( ( ( SV19
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV39 )
        = $true )
      | ( ( SV19 @ SV39 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[919]) ).

thf(1021,plain,
    ! [SV39: a,SV19: a > $o] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( ~ ~ ( SV19
                @ ( sK3_SV2
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV39 )
        = $true )
      | ( ( SV19 @ SV39 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[920]) ).

thf(1025,plain,
    ! [SV6: a] :
      ( ( ( ~ ( sK1_Xg
              @ ( sK2_SY4
                @ ^ [SX0: a] : $true )
              @ ( sK16_SV60 @ SV6 ) ) )
        = $true )
      | ( ( ~ $true ) = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV6 )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[924]) ).

thf(1026,plain,
    ! [SV6: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ ( sK17_SV61 @ SV6 ) )
        = $true )
      | ( $false = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV6 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[925]) ).

thf(1030,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK19_SV63 @ SV6 @ SV19 ) )
        = $true )
      | ( ( ~ ( SV19 @ ( sK19_SV63 @ SV6 @ SV19 ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $false )
      | ( ( ~ ( SV19 @ SV6 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[929]) ).

thf(1031,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( ~ ( sK1_Xg
              @ ( sK2_SY4
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) )
              @ ( sK19_SV63 @ SV6 @ SV19 ) ) )
        = $true )
      | ( ( ~ ~ ( SV19 @ ( sK19_SV63 @ SV6 @ SV19 ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $false )
      | ( ( ~ ( SV19 @ SV6 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[930]) ).

thf(1032,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK20_SV64 @ SV6 @ SV19 ) )
        = $true )
      | ( ( ~ ( SV19 @ ( sK20_SV64 @ SV6 @ SV19 ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $true )
      | ( ( ~ ( SV19 @ SV6 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[931]) ).

thf(1033,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( ~ ( sK1_Xg
              @ ( sK2_SY4
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) )
              @ ( sK20_SV64 @ SV6 @ SV19 ) ) )
        = $true )
      | ( ( ~ ~ ( SV19 @ ( sK20_SV64 @ SV6 @ SV19 ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $true )
      | ( ( ~ ( SV19 @ SV6 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[932]) ).

thf(1035,plain,
    ! [SV8: a] :
      ( ( $true = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ ( sK3_SV2
            @ ^ [SX0: a] : $true ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV8 )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[934]) ).

thf(1038,plain,
    ! [SV8: a,SV19: a > $o] :
      ( ( ( SV19 @ SV8 )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV8 )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $true )
      | ( ( SV19
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[937]) ).

thf(1039,plain,
    ! [SV8: a,SV19: a > $o] :
      ( ( ( ~ ( SV19
              @ ( sK3_SV2
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV8 )
        = $false )
      | ( ( ~ ( SV19 @ SV8 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[938]) ).

thf(1040,plain,
    ! [SV8: a,SV19: a > $o] :
      ( ( ( SV19 @ SV8 )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV8 )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $true )
      | ( ( SV19
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[939]) ).

thf(1041,plain,
    ! [SV8: a,SV19: a > $o] :
      ( ( ( ~ ( SV19
              @ ( sK3_SV2
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV8 )
        = $true )
      | ( ( ~ ( SV19 @ SV8 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[940]) ).

thf(1050,plain,
    ! [SV6: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ ( sK25_SV69 @ SV6 ) )
        = $true )
      | ( $false = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV6 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[949]) ).

thf(1052,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) )
            @ ( sK32_SV79 @ SV6 @ SV19 ) )
          | ~ ( SV19 @ ( sK32_SV79 @ SV6 @ SV19 ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $false )
      | ( ( SV19 @ SV6 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[951]) ).

thf(1053,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( ~ ( sK1_Xg
              @ ( sK2_SY4
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) )
              @ ( sK32_SV79 @ SV6 @ SV19 ) )
          | ~ ~ ( SV19 @ ( sK32_SV79 @ SV6 @ SV19 ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $false )
      | ( ( SV19 @ SV6 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[952]) ).

thf(1055,plain,
    ! [SV6: a] :
      ( ( ( ~ ( sK1_Xg
              @ ( sK2_SY4
                @ ^ [SX0: a] : $true )
              @ ( sK26_SV70 @ SV6 ) ) )
        = $true )
      | ( ( ~ $true ) = $true )
      | ( $true = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV6 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[954]) ).

thf(1058,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) )
            @ ( sK33_SV80 @ SV6 @ SV19 ) )
          | ~ ( SV19 @ ( sK33_SV80 @ SV6 @ SV19 ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $true )
      | ( ( SV19 @ SV6 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[957]) ).

thf(1059,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( ~ ( sK1_Xg
              @ ( sK2_SY4
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) )
              @ ( sK33_SV80 @ SV6 @ SV19 ) )
          | ~ ~ ( SV19 @ ( sK33_SV80 @ SV6 @ SV19 ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $true )
      | ( ( SV19 @ SV6 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[958]) ).

thf(1071,plain,
    ! [SV8: a,SV19: a > $o] :
      ( ( ( SV19
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV8 )
        = $false )
      | ( ( SV19 @ SV8 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[971]) ).

thf(1072,plain,
    ! [SV8: a,SV19: a > $o] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( ~ ~ ( SV19
                @ ( sK3_SV2
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV8 )
        = $false )
      | ( ( SV19 @ SV8 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[972]) ).

thf(1073,plain,
    ! [SV8: a] :
      ( ( $true = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ ( sK3_SV2
            @ ^ [SX0: a] : $true ) )
        = $false )
      | ( $true = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV8 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[973]) ).

thf(1075,plain,
    ! [SV8: a,SV19: a > $o] :
      ( ( ( SV19
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV8 )
        = $true )
      | ( ( SV19 @ SV8 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[975]) ).

thf(1076,plain,
    ! [SV8: a,SV19: a > $o] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( ~ ~ ( SV19
                @ ( sK3_SV2
                  @ ^ [SX0: a] :
                      ~ ( SV19 @ SX0 ) ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV8 )
        = $true )
      | ( ( SV19 @ SV8 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[976]) ).

thf(1083,plain,
    ! [SV74: a] :
      ( ( ( ~ ( sK1_Xg
              @ ( sK2_SY4
                @ ^ [SX0: a] : $true )
              @ SV74 )
          | ~ $true )
        = $false )
      | ( $true = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[984]) ).

thf(1085,plain,
    ! [SV75: a] :
      ( ( ( ~ ( sK1_Xg
              @ ( sK2_SY4
                @ ^ [SX0: a] : $false )
              @ SV75 )
          | ~ $false )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV75 )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[987]) ).

thf(1089,plain,
    ! [SV76: a,SV19: a > $o] :
      ( ( ( ~ ( sK1_Xg
              @ ( sK2_SY4
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) )
              @ SV76 )
          | ~ ~ ( SV19 @ SV76 ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV76 )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[991]) ).

thf(1090,plain,
    ! [SV76: a,SV19: a > $o] :
      ( ( ( SV19 @ SV76 )
        = $true )
      | ( ( ~ ( ~ ( sK1_Xg
                  @ ( sK2_SY4
                    @ ^ [SX0: a] :
                        ~ ( SV19 @ SX0 ) )
                  @ SV76 )
              | ~ ~ ( SV19 @ SV76 ) ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[992]) ).

thf(1096,plain,
    ! [SV34: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ ( sK12_SV56 @ SV34 ) )
        = $false )
      | ( ( ~ $true ) = $true )
      | ( $true = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV34 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1002]) ).

thf(1099,plain,
    ! [SV36: a,SV19: a > $o] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK30_SV77 @ SV36 @ SV19 ) )
        = $true )
      | ( ( ~ ( SV19 @ ( sK30_SV77 @ SV36 @ SV19 ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV36 )
        = $false )
      | ( ( SV19 @ SV36 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1007]) ).

thf(1100,plain,
    ! [SV36: a,SV19: a > $o] :
      ( ( ( ~ ( sK1_Xg
              @ ( sK2_SY4
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) )
              @ ( sK30_SV77 @ SV36 @ SV19 ) ) )
        = $true )
      | ( ( ~ ~ ( SV19 @ ( sK30_SV77 @ SV36 @ SV19 ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV36 )
        = $false )
      | ( ( SV19 @ SV36 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1008]) ).

thf(1101,plain,
    ! [SV36: a,SV19: a > $o] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK31_SV78 @ SV36 @ SV19 ) )
        = $true )
      | ( ( ~ ( SV19 @ ( sK31_SV78 @ SV36 @ SV19 ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV36 )
        = $true )
      | ( ( SV19 @ SV36 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1009]) ).

thf(1102,plain,
    ! [SV36: a,SV19: a > $o] :
      ( ( ( ~ ( sK1_Xg
              @ ( sK2_SY4
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) )
              @ ( sK31_SV78 @ SV36 @ SV19 ) ) )
        = $true )
      | ( ( ~ ~ ( SV19 @ ( sK31_SV78 @ SV36 @ SV19 ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV36 )
        = $true )
      | ( ( SV19 @ SV36 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1010]) ).

thf(1104,plain,
    ! [SV39: a,SV19: a > $o] :
      ( ( ( ~ ( SV19
              @ ( sK3_SV2
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV39 )
        = $false )
      | ( ( SV19 @ SV39 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1019]) ).

thf(1105,plain,
    ! [SV39: a,SV19: a > $o] :
      ( ( ( ~ ( SV19
              @ ( sK3_SV2
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV39 )
        = $true )
      | ( ( SV19 @ SV39 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1021]) ).

thf(1107,plain,
    ! [SV6: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ ( sK16_SV60 @ SV6 ) )
        = $false )
      | ( ( ~ $true ) = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV6 )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1025]) ).

thf(1110,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( SV19 @ ( sK19_SV63 @ SV6 @ SV19 ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK19_SV63 @ SV6 @ SV19 ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $false )
      | ( ( ~ ( SV19 @ SV6 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1030]) ).

thf(1111,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK19_SV63 @ SV6 @ SV19 ) )
        = $false )
      | ( ( ~ ~ ( SV19 @ ( sK19_SV63 @ SV6 @ SV19 ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $false )
      | ( ( ~ ( SV19 @ SV6 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1031]) ).

thf(1112,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( SV19 @ ( sK20_SV64 @ SV6 @ SV19 ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK20_SV64 @ SV6 @ SV19 ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $true )
      | ( ( ~ ( SV19 @ SV6 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1032]) ).

thf(1113,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK20_SV64 @ SV6 @ SV19 ) )
        = $false )
      | ( ( ~ ~ ( SV19 @ ( sK20_SV64 @ SV6 @ SV19 ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $true )
      | ( ( ~ ( SV19 @ SV6 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1033]) ).

thf(1114,plain,
    ! [SV8: a,SV19: a > $o] :
      ( ( ( SV19
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV8 )
        = $false )
      | ( ( ~ ( SV19 @ SV8 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1039]) ).

thf(1115,plain,
    ! [SV8: a,SV19: a > $o] :
      ( ( ( SV19
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV8 )
        = $true )
      | ( ( ~ ( SV19 @ SV8 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1041]) ).

thf(1122,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK32_SV79 @ SV6 @ SV19 ) )
        = $true )
      | ( ( ~ ( SV19 @ ( sK32_SV79 @ SV6 @ SV19 ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $false )
      | ( ( SV19 @ SV6 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1052]) ).

thf(1123,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( ~ ( sK1_Xg
              @ ( sK2_SY4
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) )
              @ ( sK32_SV79 @ SV6 @ SV19 ) ) )
        = $true )
      | ( ( ~ ~ ( SV19 @ ( sK32_SV79 @ SV6 @ SV19 ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $false )
      | ( ( SV19 @ SV6 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1053]) ).

thf(1124,plain,
    ! [SV6: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ ( sK26_SV70 @ SV6 ) )
        = $false )
      | ( ( ~ $true ) = $true )
      | ( $true = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV6 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1055]) ).

thf(1126,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK33_SV80 @ SV6 @ SV19 ) )
        = $true )
      | ( ( ~ ( SV19 @ ( sK33_SV80 @ SV6 @ SV19 ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $true )
      | ( ( SV19 @ SV6 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1058]) ).

thf(1127,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( ~ ( sK1_Xg
              @ ( sK2_SY4
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) )
              @ ( sK33_SV80 @ SV6 @ SV19 ) ) )
        = $true )
      | ( ( ~ ~ ( SV19 @ ( sK33_SV80 @ SV6 @ SV19 ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $true )
      | ( ( SV19 @ SV6 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1059]) ).

thf(1133,plain,
    ! [SV8: a,SV19: a > $o] :
      ( ( ( ~ ( SV19
              @ ( sK3_SV2
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV8 )
        = $false )
      | ( ( SV19 @ SV8 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1072]) ).

thf(1134,plain,
    ! [SV8: a,SV19: a > $o] :
      ( ( ( ~ ( SV19
              @ ( sK3_SV2
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV8 )
        = $true )
      | ( ( SV19 @ SV8 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1076]) ).

thf(1140,plain,
    ! [SV74: a] :
      ( ( ( ~ ( sK1_Xg
              @ ( sK2_SY4
                @ ^ [SX0: a] : $true )
              @ SV74 ) )
        = $false )
      | ( $true = $false )
      | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1083]) ).

thf(1144,plain,
    ! [SV75: a] :
      ( ( ( ~ $false ) = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV75 )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1085]) ).

thf(1149,plain,
    ! [SV76: a,SV19: a > $o] :
      ( ( ( ~ ~ ( SV19 @ SV76 ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV76 )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1089]) ).

thf(1150,plain,
    ! [SV76: a,SV19: a > $o] :
      ( ( ( ~ ( sK1_Xg
              @ ( sK2_SY4
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) )
              @ SV76 )
          | ~ ~ ( SV19 @ SV76 ) )
        = $false )
      | ( ( SV19 @ SV76 )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1090]) ).

thf(1155,plain,
    ! [SV34: a] :
      ( ( $true = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ ( sK12_SV56 @ SV34 ) )
        = $false )
      | ( $true = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV34 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1096]) ).

thf(1158,plain,
    ! [SV36: a,SV19: a > $o] :
      ( ( ( SV19 @ ( sK30_SV77 @ SV36 @ SV19 ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK30_SV77 @ SV36 @ SV19 ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV36 )
        = $false )
      | ( ( SV19 @ SV36 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1099]) ).

thf(1159,plain,
    ! [SV36: a,SV19: a > $o] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK30_SV77 @ SV36 @ SV19 ) )
        = $false )
      | ( ( ~ ~ ( SV19 @ ( sK30_SV77 @ SV36 @ SV19 ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV36 )
        = $false )
      | ( ( SV19 @ SV36 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1100]) ).

thf(1160,plain,
    ! [SV36: a,SV19: a > $o] :
      ( ( ( SV19 @ ( sK31_SV78 @ SV36 @ SV19 ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK31_SV78 @ SV36 @ SV19 ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV36 )
        = $true )
      | ( ( SV19 @ SV36 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1101]) ).

thf(1161,plain,
    ! [SV36: a,SV19: a > $o] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK31_SV78 @ SV36 @ SV19 ) )
        = $false )
      | ( ( ~ ~ ( SV19 @ ( sK31_SV78 @ SV36 @ SV19 ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV36 )
        = $true )
      | ( ( SV19 @ SV36 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1102]) ).

thf(1162,plain,
    ! [SV39: a,SV19: a > $o] :
      ( ( ( SV19
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV39 )
        = $false )
      | ( ( SV19 @ SV39 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1104]) ).

thf(1163,plain,
    ! [SV39: a,SV19: a > $o] :
      ( ( ( SV19
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV39 )
        = $true )
      | ( ( SV19 @ SV39 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1105]) ).

thf(1165,plain,
    ! [SV6: a] :
      ( ( $true = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ ( sK16_SV60 @ SV6 ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV6 )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1107]) ).

thf(1168,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( SV19 @ SV6 )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK19_SV63 @ SV6 @ SV19 ) )
        = $true )
      | ( ( SV19 @ ( sK19_SV63 @ SV6 @ SV19 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1110]) ).

thf(1169,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( ~ ( SV19 @ ( sK19_SV63 @ SV6 @ SV19 ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK19_SV63 @ SV6 @ SV19 ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $false )
      | ( ( ~ ( SV19 @ SV6 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1111]) ).

thf(1170,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( SV19 @ SV6 )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK20_SV64 @ SV6 @ SV19 ) )
        = $true )
      | ( ( SV19 @ ( sK20_SV64 @ SV6 @ SV19 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1112]) ).

thf(1171,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( ~ ( SV19 @ ( sK20_SV64 @ SV6 @ SV19 ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK20_SV64 @ SV6 @ SV19 ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $true )
      | ( ( ~ ( SV19 @ SV6 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1113]) ).

thf(1172,plain,
    ! [SV8: a,SV19: a > $o] :
      ( ( ( SV19 @ SV8 )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV8 )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( SV19
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1114]) ).

thf(1173,plain,
    ! [SV8: a,SV19: a > $o] :
      ( ( ( SV19 @ SV8 )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV8 )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( SV19
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1115]) ).

thf(1179,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( SV19 @ ( sK32_SV79 @ SV6 @ SV19 ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK32_SV79 @ SV6 @ SV19 ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $false )
      | ( ( SV19 @ SV6 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1122]) ).

thf(1180,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK32_SV79 @ SV6 @ SV19 ) )
        = $false )
      | ( ( ~ ~ ( SV19 @ ( sK32_SV79 @ SV6 @ SV19 ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $false )
      | ( ( SV19 @ SV6 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1123]) ).

thf(1181,plain,
    ! [SV6: a] :
      ( ( $true = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ ( sK26_SV70 @ SV6 ) )
        = $false )
      | ( $true = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV6 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1124]) ).

thf(1183,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( SV19 @ ( sK33_SV80 @ SV6 @ SV19 ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK33_SV80 @ SV6 @ SV19 ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $true )
      | ( ( SV19 @ SV6 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1126]) ).

thf(1184,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK33_SV80 @ SV6 @ SV19 ) )
        = $false )
      | ( ( ~ ~ ( SV19 @ ( sK33_SV80 @ SV6 @ SV19 ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $true )
      | ( ( SV19 @ SV6 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1127]) ).

thf(1189,plain,
    ! [SV8: a,SV19: a > $o] :
      ( ( ( SV19
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV8 )
        = $false )
      | ( ( SV19 @ SV8 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1133]) ).

thf(1190,plain,
    ! [SV8: a,SV19: a > $o] :
      ( ( ( SV19
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK3_SV2
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV8 )
        = $true )
      | ( ( SV19 @ SV8 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1134]) ).

thf(1194,plain,
    ! [SV74: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV74 )
        = $true )
      | ( $true = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1140]) ).

thf(1197,plain,
    ! [SV75: a] :
      ( ( $false = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV75 )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1144]) ).

thf(1202,plain,
    ! [SV76: a,SV19: a > $o] :
      ( ( ( ~ ( SV19 @ SV76 ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV76 )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1149]) ).

thf(1203,plain,
    ! [SV76: a,SV19: a > $o] :
      ( ( ( ~ ( sK1_Xg
              @ ( sK2_SY4
                @ ^ [SX0: a] :
                    ~ ( SV19 @ SX0 ) )
              @ SV76 ) )
        = $false )
      | ( ( SV19 @ SV76 )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1150]) ).

thf(1206,plain,
    ! [SV36: a,SV19: a > $o] :
      ( ( ( ~ ( SV19 @ ( sK30_SV77 @ SV36 @ SV19 ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK30_SV77 @ SV36 @ SV19 ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV36 )
        = $false )
      | ( ( SV19 @ SV36 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1159]) ).

thf(1207,plain,
    ! [SV36: a,SV19: a > $o] :
      ( ( ( ~ ( SV19 @ ( sK31_SV78 @ SV36 @ SV19 ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK31_SV78 @ SV36 @ SV19 ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV36 )
        = $true )
      | ( ( SV19 @ SV36 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1161]) ).

thf(1208,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( SV19 @ ( sK19_SV63 @ SV6 @ SV19 ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK19_SV63 @ SV6 @ SV19 ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $false )
      | ( ( ~ ( SV19 @ SV6 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1169]) ).

thf(1209,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( SV19 @ ( sK20_SV64 @ SV6 @ SV19 ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK20_SV64 @ SV6 @ SV19 ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $true )
      | ( ( ~ ( SV19 @ SV6 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1171]) ).

thf(1211,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( ~ ( SV19 @ ( sK32_SV79 @ SV6 @ SV19 ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK32_SV79 @ SV6 @ SV19 ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $false )
      | ( ( SV19 @ SV6 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1180]) ).

thf(1212,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( ~ ( SV19 @ ( sK33_SV80 @ SV6 @ SV19 ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK33_SV80 @ SV6 @ SV19 ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $true )
      | ( ( SV19 @ SV6 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1184]) ).

thf(1216,plain,
    ! [SV76: a,SV19: a > $o] :
      ( ( ( SV19 @ SV76 )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV76 )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1202]) ).

thf(1217,plain,
    ! [SV76: a,SV19: a > $o] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV76 )
        = $true )
      | ( ( SV19 @ SV76 )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1203]) ).

thf(1219,plain,
    ! [SV36: a,SV19: a > $o] :
      ( ( ( SV19 @ ( sK30_SV77 @ SV36 @ SV19 ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK30_SV77 @ SV36 @ SV19 ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV36 )
        = $false )
      | ( ( SV19 @ SV36 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1206]) ).

thf(1220,plain,
    ! [SV36: a,SV19: a > $o] :
      ( ( ( SV19 @ ( sK31_SV78 @ SV36 @ SV19 ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK31_SV78 @ SV36 @ SV19 ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV36 )
        = $true )
      | ( ( SV19 @ SV36 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1207]) ).

thf(1221,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( SV19 @ SV6 )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK19_SV63 @ SV6 @ SV19 ) )
        = $false )
      | ( ( SV19 @ ( sK19_SV63 @ SV6 @ SV19 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1208]) ).

thf(1222,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( SV19 @ SV6 )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK20_SV64 @ SV6 @ SV19 ) )
        = $false )
      | ( ( SV19 @ ( sK20_SV64 @ SV6 @ SV19 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1209]) ).

thf(1223,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( SV19 @ ( sK32_SV79 @ SV6 @ SV19 ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK32_SV79 @ SV6 @ SV19 ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $false )
      | ( ( SV19 @ SV6 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1211]) ).

thf(1224,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( SV19 @ ( sK33_SV80 @ SV6 @ SV19 ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK33_SV80 @ SV6 @ SV19 ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $true )
      | ( ( SV19 @ SV6 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1212]) ).

thf(1230,plain,
    ! [SV19: a > $o,SV84: a] :
      ( ( $true = $false )
      | ( ( ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ~ ( SV19 @ SX0 ) )
            @ SV84 )
          = ( ~ ( SV19 @ SV84 ) ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[413]) ).

thf(1239,plain,
    ! [SV76: a,SV19: a > $o] :
      ( ( $true = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV76 )
        = $true )
      | ( ( ~ ( SV19 @ SV76 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[657]) ).

thf(1240,plain,
    ! [SV76: a,SV19: a > $o] :
      ( ( $true = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV76 )
        = $false )
      | ( ( ~ ( SV19 @ SV76 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[657]) ).

thf(1241,plain,
    ! [SV19: a > $o,SV84: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV84 )
        = $true )
      | ( ( ~ ( SV19 @ SV84 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1230]) ).

thf(1242,plain,
    ! [SV19: a > $o,SV84: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV84 )
        = $false )
      | ( ( ~ ( SV19 @ SV84 ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1230]) ).

thf(1243,plain,
    ! [SV76: a,SV19: a > $o] :
      ( ( ( SV19 @ SV76 )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV76 )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1240]) ).

thf(1244,plain,
    ! [SV76: a,SV19: a > $o] :
      ( ( ( SV19 @ SV76 )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV76 )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1239]) ).

thf(1245,plain,
    ! [SV84: a,SV19: a > $o] :
      ( ( ( SV19 @ SV84 )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV84 )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1242]) ).

thf(1246,plain,
    ! [SV84: a,SV19: a > $o] :
      ( ( ( SV19 @ SV84 )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV84 )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1241]) ).

thf(1262,plain,
    ! [SV34: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV34 )
        = $true )
      | ( $true = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ ( sK42_E @ SV34 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extuni,[status(esa)],[425]) ).

thf(1263,plain,
    ! [SV35: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV35 )
        = $false )
      | ( $false = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ ( sK43_E @ SV35 ) )
        = $true )
      | ( $false = $true ) ),
    inference(extuni,[status(esa)],[427]) ).

thf(1267,plain,
    ! [SV36: a,SV19: a > $o] :
      ( ( ( SV19 @ SV36 )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV36 )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK45_E @ SV36 @ SV19 ) )
        = $true )
      | ( ( ~ ( SV19 @ ( sK45_E @ SV36 @ SV19 ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[551]) ).

thf(1268,plain,
    ! [SV36: a,SV19: a > $o] :
      ( ( ( SV19 @ SV36 )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV36 )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK45_E @ SV36 @ SV19 ) )
        = $false )
      | ( ( ~ ( SV19 @ ( sK45_E @ SV36 @ SV19 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[551]) ).

thf(1269,plain,
    ! [SV36: a,SV19: a > $o] :
      ( ( ( SV19 @ SV36 )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV36 )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK46_E @ SV36 @ SV19 ) )
        = $true )
      | ( ( ~ ( SV19 @ ( sK46_E @ SV36 @ SV19 ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[553]) ).

thf(1270,plain,
    ! [SV36: a,SV19: a > $o] :
      ( ( ( SV19 @ SV36 )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV36 )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK46_E @ SV36 @ SV19 ) )
        = $false )
      | ( ( ~ ( SV19 @ ( sK46_E @ SV36 @ SV19 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[553]) ).

thf(1274,plain,
    ! [SV6: a] :
      ( ( $true = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV6 )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ ( sK48_E @ SV6 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extuni,[status(esa)],[453]) ).

thf(1275,plain,
    ! [SV6: a] :
      ( ( $false = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV6 )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ ( sK49_E @ SV6 ) )
        = $true )
      | ( $false = $true ) ),
    inference(extuni,[status(esa)],[455]) ).

thf(1279,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK51_E @ SV6 @ SV19 ) )
        = $true )
      | ( ( ~ ( SV19 @ ( sK51_E @ SV6 @ SV19 ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $false )
      | ( ( SV19 @ SV6 )
        = $false ) ),
    inference(extuni,[status(esa)],[577]) ).

thf(1280,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK51_E @ SV6 @ SV19 ) )
        = $false )
      | ( ( ~ ( SV19 @ ( sK51_E @ SV6 @ SV19 ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $false )
      | ( ( SV19 @ SV6 )
        = $false ) ),
    inference(extuni,[status(esa)],[577]) ).

thf(1281,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK52_E @ SV6 @ SV19 ) )
        = $true )
      | ( ( ~ ( SV19 @ ( sK52_E @ SV6 @ SV19 ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $true )
      | ( ( SV19 @ SV6 )
        = $true ) ),
    inference(extuni,[status(esa)],[579]) ).

thf(1282,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK52_E @ SV6 @ SV19 ) )
        = $false )
      | ( ( ~ ( SV19 @ ( sK52_E @ SV6 @ SV19 ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $true )
      | ( ( SV19 @ SV6 )
        = $true ) ),
    inference(extuni,[status(esa)],[579]) ).

thf(1291,plain,
    ! [SV6: a] :
      ( ( $false = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV6 )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ ( sK57_E @ SV6 ) )
        = $true )
      | ( $false = $true ) ),
    inference(extuni,[status(esa)],[494]) ).

thf(1293,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( SV19 @ SV6 )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK58_E @ SV6 @ SV19 ) )
        = $true )
      | ( ( ~ ( SV19 @ ( sK58_E @ SV6 @ SV19 ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[607]) ).

thf(1294,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( SV19 @ SV6 )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK58_E @ SV6 @ SV19 ) )
        = $false )
      | ( ( ~ ( SV19 @ ( sK58_E @ SV6 @ SV19 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[607]) ).

thf(1296,plain,
    ! [SV6: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV6 )
        = $true )
      | ( $true = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ ( sK59_E @ SV6 ) )
        = $false )
      | ( $true = $false ) ),
    inference(extuni,[status(esa)],[497]) ).

thf(1299,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( SV19 @ SV6 )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK61_E @ SV6 @ SV19 ) )
        = $true )
      | ( ( ~ ( SV19 @ ( sK61_E @ SV6 @ SV19 ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[611]) ).

thf(1300,plain,
    ! [SV6: a,SV19: a > $o] :
      ( ( ( SV19 @ SV6 )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV6 )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ ( sK61_E @ SV6 @ SV19 ) )
        = $false )
      | ( ( ~ ( SV19 @ ( sK61_E @ SV6 @ SV19 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[611]) ).

thf(1307,plain,
    ! [SV1: a > $o] :
      ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) )
        = SV1 )
      = $true ),
    inference(sim,[status(thm)],[33]) ).

thf(1308,plain,
    ! [SV5: a,SV1: a > $o] :
      ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV5 )
        = ( SV1 @ SV5 ) )
      = $true ),
    inference(sim,[status(thm)],[47]) ).

thf(1309,plain,
    ! [SV5: a,SV1: a > $o] :
      ( ( ( SV1 @ SV5 )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV5 )
        = $false ) ),
    inference(sim,[status(thm)],[99]) ).

thf(1310,plain,
    ! [SV5: a,SV1: a > $o] :
      ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV5 )
        = $true )
      | ( ( SV1 @ SV5 )
        = $false ) ),
    inference(sim,[status(thm)],[100]) ).

thf(1311,plain,
    ! [SV29: a,SV1: a > $o] :
      ( ( ( SV1 @ SV29 )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV29 )
        = $false ) ),
    inference(sim,[status(thm)],[313]) ).

thf(1312,plain,
    ! [SV29: a,SV1: a > $o] :
      ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV29 )
        = $true )
      | ( ( SV1 @ SV29 )
        = $false ) ),
    inference(sim,[status(thm)],[314]) ).

thf(1313,plain,
    ! [SV29: a,SV1: a > $o] :
      ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV29 )
        = $false )
      | ( ( SV1 @ SV29 )
        = $true ) ),
    inference(sim,[status(thm)],[318]) ).

thf(1314,plain,
    ! [SV29: a,SV1: a > $o] :
      ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV29 )
        = $true )
      | ( ( SV1 @ SV29 )
        = $false ) ),
    inference(sim,[status(thm)],[317]) ).

thf(1315,plain,
    ! [SV1: a > $o,SV30: a] :
      ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV30 )
        = $false )
      | ( ( SV1 @ SV30 )
        = $true ) ),
    inference(sim,[status(thm)],[320]) ).

thf(1316,plain,
    ! [SV1: a > $o,SV30: a] :
      ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV30 )
        = $true )
      | ( ( SV1 @ SV30 )
        = $false ) ),
    inference(sim,[status(thm)],[319]) ).

thf(1317,plain,
    ! [SV1: a > $o,SV22: a] :
      ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV22 )
        = $false )
      | ( ( SV1 @ SV22 )
        = $true ) ),
    inference(sim,[status(thm)],[265]) ).

thf(1318,plain,
    ! [SV1: a > $o,SV22: a] :
      ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV22 )
        = $true )
      | ( ( SV1 @ SV22 )
        = $false ) ),
    inference(sim,[status(thm)],[264]) ).

thf(1319,plain,
    ! [SV5: a,SV1: a > $o] :
      ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV5 )
        = $false )
      | ( ( SV1 @ SV5 )
        = $true ) ),
    inference(sim,[status(thm)],[269]) ).

thf(1320,plain,
    ! [SV5: a,SV1: a > $o] :
      ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV5 )
        = $true )
      | ( ( SV1 @ SV5 )
        = $false ) ),
    inference(sim,[status(thm)],[268]) ).

thf(1321,plain,
    ! [SV5: a,SV1: a > $o] :
      ( ( ( SV1 @ SV5 )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV5 )
        = $false ) ),
    inference(sim,[status(thm)],[99]) ).

thf(1322,plain,
    ! [SV5: a,SV1: a > $o] :
      ( ( ( sK1_Xg @ ( sK2_SY4 @ SV1 ) @ SV5 )
        = $true )
      | ( ( SV1 @ SV5 )
        = $false ) ),
    inference(sim,[status(thm)],[100]) ).

thf(1323,plain,
    ! [SV74: a] :
      ( ( sK1_Xg
        @ ( sK2_SY4
          @ ^ [SX0: a] : $true )
        @ SV74 )
      = $true ),
    inference(sim,[status(thm)],[1194]) ).

thf(1326,plain,
    ! [SV75: a] :
      ( ( sK1_Xg
        @ ( sK2_SY4
          @ ^ [SX0: a] : $false )
        @ SV75 )
      = $false ),
    inference(sim,[status(thm)],[1197]) ).

thf(1329,plain,
    ! [SV76: a,SV19: a > $o] :
      ( ( ( SV19 @ SV76 )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV76 )
        = $false ) ),
    inference(sim,[status(thm)],[1216]) ).

thf(1330,plain,
    ! [SV76: a,SV19: a > $o] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV76 )
        = $true )
      | ( ( SV19 @ SV76 )
        = $true ) ),
    inference(sim,[status(thm)],[1217]) ).

thf(1331,plain,
    ! [SV76: a,SV19: a > $o] :
      ( ( ( SV19 @ SV76 )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV76 )
        = $false ) ),
    inference(sim,[status(thm)],[1243]) ).

thf(1332,plain,
    ! [SV76: a,SV19: a > $o] :
      ( ( ( SV19 @ SV76 )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV76 )
        = $true ) ),
    inference(sim,[status(thm)],[1244]) ).

thf(1333,plain,
    ! [SV84: a,SV19: a > $o] :
      ( ( ( SV19 @ SV84 )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV84 )
        = $false ) ),
    inference(sim,[status(thm)],[1245]) ).

thf(1334,plain,
    ! [SV84: a,SV19: a > $o] :
      ( ( ( SV19 @ SV84 )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV84 )
        = $true ) ),
    inference(sim,[status(thm)],[1246]) ).

thf(1337,plain,
    ! [SV33: a,SV19: a > $o] :
      ( ( ( SV19 @ SV33 )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV33 )
        = $false ) ),
    inference(sim,[status(thm)],[420]) ).

thf(1338,plain,
    ! [SV33: a,SV19: a > $o] :
      ( ( ( SV19 @ SV33 )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV33 )
        = $true ) ),
    inference(sim,[status(thm)],[421]) ).

thf(1339,plain,
    ! [SV34: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ ( sK12_SV56 @ SV34 ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV34 )
        = $true ) ),
    inference(sim,[status(thm)],[1155]) ).

thf(1340,plain,
    ! [SV34: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV34 )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ ( sK42_E @ SV34 ) )
        = $false ) ),
    inference(sim,[status(thm)],[1262]) ).

thf(1341,plain,
    ! [SV35: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ ( sK13_SV57 @ SV35 ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV35 )
        = $false ) ),
    inference(sim,[status(thm)],[1003]) ).

thf(1342,plain,
    ! [SV35: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV35 )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ ( sK43_E @ SV35 ) )
        = $true ) ),
    inference(sim,[status(thm)],[1263]) ).

thf(1345,plain,
    ! [SV5: a,SV19: a > $o] :
      ( ( ( SV19 @ SV5 )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV5 )
        = $false ) ),
    inference(sim,[status(thm)],[438]) ).

thf(1346,plain,
    ! [SV5: a,SV19: a > $o] :
      ( ( ( SV19 @ SV5 )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV5 )
        = $true ) ),
    inference(sim,[status(thm)],[439]) ).

thf(1347,plain,
    ! [SV37: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ ( sK3_SV2
            @ ^ [SX0: a] : $true ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV37 )
        = $true ) ),
    inference(sim,[status(thm)],[1015]) ).

thf(1348,plain,
    ! [SV38: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ ( sK3_SV2
            @ ^ [SX0: a] : $false ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV38 )
        = $false ) ),
    inference(sim,[status(thm)],[801]) ).

thf(1349,plain,
    ! [SV6: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ ( sK16_SV60 @ SV6 ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV6 )
        = $true ) ),
    inference(sim,[status(thm)],[1165]) ).

thf(1350,plain,
    ! [SV6: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV6 )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ ( sK48_E @ SV6 ) )
        = $false ) ),
    inference(sim,[status(thm)],[1274]) ).

thf(1351,plain,
    ! [SV6: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ ( sK17_SV61 @ SV6 ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV6 )
        = $false ) ),
    inference(sim,[status(thm)],[1026]) ).

thf(1352,plain,
    ! [SV6: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV6 )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ ( sK49_E @ SV6 ) )
        = $true ) ),
    inference(sim,[status(thm)],[1275]) ).

thf(1353,plain,
    ! [SV8: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ ( sK3_SV2
            @ ^ [SX0: a] : $true ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV8 )
        = $true ) ),
    inference(sim,[status(thm)],[1035]) ).

thf(1354,plain,
    ! [SV8: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ ( sK3_SV2
            @ ^ [SX0: a] : $false ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV8 )
        = $false ) ),
    inference(sim,[status(thm)],[827]) ).

thf(1355,plain,
    ! [SV41: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV41 )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ ( sK3_SV2
            @ ^ [SX0: a] : $false ) )
        = $true ) ),
    inference(sim,[status(thm)],[381]) ).

thf(1356,plain,
    ! [SV10: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ ( sK3_SV2
            @ ^ [SX0: a] : $false ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV10 )
        = $false ) ),
    inference(sim,[status(thm)],[387]) ).

thf(1357,plain,
    ! [SV43: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV43 )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ ( sK3_SV2
            @ ^ [SX0: a] : $true ) )
        = $false ) ),
    inference(sim,[status(thm)],[390]) ).

thf(1359,plain,
    ! [SV5: a,SV19: a > $o] :
      ( ( ( SV19 @ SV5 )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV5 )
        = $false ) ),
    inference(sim,[status(thm)],[482]) ).

thf(1361,plain,
    ! [SV5: a,SV19: a > $o] :
      ( ( ( SV19 @ SV5 )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV19 @ SX0 ) )
          @ SV5 )
        = $true ) ),
    inference(sim,[status(thm)],[483]) ).

thf(1362,plain,
    ! [SV6: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ ( sK25_SV69 @ SV6 ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV6 )
        = $false ) ),
    inference(sim,[status(thm)],[1050]) ).

thf(1363,plain,
    ! [SV6: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV6 )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ ( sK57_E @ SV6 ) )
        = $true ) ),
    inference(sim,[status(thm)],[1291]) ).

thf(1364,plain,
    ! [SV6: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ ( sK26_SV70 @ SV6 ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV6 )
        = $true ) ),
    inference(sim,[status(thm)],[1181]) ).

thf(1365,plain,
    ! [SV6: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV6 )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ ( sK59_E @ SV6 ) )
        = $false ) ),
    inference(sim,[status(thm)],[1296]) ).

thf(1366,plain,
    ! [SV12: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ ( sK3_SV2
            @ ^ [SX0: a] : $true ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV12 )
        = $true ) ),
    inference(sim,[status(thm)],[396]) ).

thf(1367,plain,
    ! [SV8: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ ( sK3_SV2
            @ ^ [SX0: a] : $false ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV8 )
        = $false ) ),
    inference(sim,[status(thm)],[866]) ).

thf(1368,plain,
    ! [SV8: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ ( sK3_SV2
            @ ^ [SX0: a] : $true ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV8 )
        = $true ) ),
    inference(sim,[status(thm)],[1073]) ).

thf(1369,plain,
    ! [SV10: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV10 )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ ( sK3_SV2
            @ ^ [SX0: a] : $false ) )
        = $true ) ),
    inference(sim,[status(thm)],[237]) ).

thf(1370,plain,
    ! [SV12: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV12 )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ ( sK3_SV2
            @ ^ [SX0: a] : $true ) )
        = $false ) ),
    inference(sim,[status(thm)],[251]) ).

thf(1371,plain,
    ! [SV85: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) )
          = SV85 )
        = $true )
      = $true ),
    inference(rename,[status(thm)],[9]) ).

thf(1372,plain,
    ! [SV85: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) )
          = SV85 )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1371]) ).

thf(1374,plain,
    ! [SV85: a > $o] :
      ( ( ~ ( ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) )
              = SV85 )
            | $true )
        | ~ ( ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) )
             != SV85 )
            | ~ $true ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1371]) ).

thf(1376,plain,
    ! [SV85: a > $o] :
      ( ( ( ~ ( ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) )
                = SV85 )
              | $true ) )
        = $true )
      | ( ( ~ ( ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) )
               != SV85 )
              | ~ $true ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1374]) ).

thf(1377,plain,
    ! [SV85: a > $o] :
      ( ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) )
            = SV85 )
          | $true )
        = $false )
      | ( ( ~ ( ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) )
               != SV85 )
              | ~ $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1376]) ).

thf(1378,plain,
    ! [SV85: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) )
          = SV85 )
        = $false )
      | ( ( ~ ( ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) )
               != SV85 )
              | ~ $true ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1377]) ).

thf(1379,plain,
    ! [SV85: a > $o] :
      ( ( $true = $false )
      | ( ( ~ ( ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) )
               != SV85 )
              | ~ $true ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1377]) ).

thf(1380,plain,
    ! [SV85: a > $o] :
      ( ( ( ! [SV86: a] :
              ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV86 )
              = ( SV85 @ SV86 ) ) )
        = $false )
      | ( ( ~ ( ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) )
               != SV85 )
              | ~ $true ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1378]) ).

thf(1382,plain,
    ! [SV85: a > $o] :
      ( ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) )
           != SV85 )
          | ~ $true )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1379]) ).

thf(1383,plain,
    ! [SV85: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ ( sK65_SV86 @ SV85 ) )
          = ( SV85 @ ( sK65_SV86 @ SV85 ) ) )
        = $false )
      | ( ( ~ ( ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) )
               != SV85 )
              | ~ $true ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[1380]) ).

thf(1385,plain,
    ! [SV85: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) )
         != SV85 )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1382]) ).

thf(1387,plain,
    ! [SV85: a > $o] :
      ( ( ( ~ ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ ( sK65_SV86 @ SV85 ) )
              | ( SV85 @ ( sK65_SV86 @ SV85 ) ) )
          | ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ ( sK65_SV86 @ SV85 ) )
              | ~ ( SV85 @ ( sK65_SV86 @ SV85 ) ) ) )
        = $false )
      | ( ( ~ ( ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) )
               != SV85 )
              | ~ $true ) )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1383]) ).

thf(1391,plain,
    ! [SV85: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) )
          = SV85 )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1385]) ).

thf(1393,plain,
    ! [SV85: a > $o] :
      ( ( ( ~ ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ ( sK65_SV86 @ SV85 ) )
              | ( SV85 @ ( sK65_SV86 @ SV85 ) ) ) )
        = $false )
      | ( ( ~ ( ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) )
               != SV85 )
              | ~ $true ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1387]) ).

thf(1394,plain,
    ! [SV85: a > $o] :
      ( ( ( ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ ( sK65_SV86 @ SV85 ) )
              | ~ ( SV85 @ ( sK65_SV86 @ SV85 ) ) ) )
        = $false )
      | ( ( ~ ( ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) )
               != SV85 )
              | ~ $true ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1387]) ).

thf(1398,plain,
    ! [SV85: a > $o] :
      ( ( ( ! [SV87: a] :
              ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV87 )
              = ( SV85 @ SV87 ) ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1391]) ).

thf(1400,plain,
    ! [SV85: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ ( sK65_SV86 @ SV85 ) )
          | ( SV85 @ ( sK65_SV86 @ SV85 ) ) )
        = $true )
      | ( ( ~ ( ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) )
               != SV85 )
              | ~ $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1393]) ).

thf(1401,plain,
    ! [SV85: a > $o] :
      ( ( ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ ( sK65_SV86 @ SV85 ) )
          | ~ ( SV85 @ ( sK65_SV86 @ SV85 ) ) )
        = $true )
      | ( ( ~ ( ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) )
               != SV85 )
              | ~ $true ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1394]) ).

thf(1406,plain,
    ! [SV89: a,SV85: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV89 )
          = ( SV85 @ SV89 ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1398]) ).

thf(1407,plain,
    ! [SV85: a > $o] :
      ( ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ ( sK65_SV86 @ SV85 ) )
        = $true )
      | ( ( SV85 @ ( sK65_SV86 @ SV85 ) )
        = $true )
      | ( ( ~ ( ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) )
               != SV85 )
              | ~ $true ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1400]) ).

thf(1408,plain,
    ! [SV85: a > $o] :
      ( ( ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ ( sK65_SV86 @ SV85 ) ) )
        = $true )
      | ( ( ~ ( SV85 @ ( sK65_SV86 @ SV85 ) ) )
        = $true )
      | ( ( ~ ( ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) )
               != SV85 )
              | ~ $true ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1401]) ).

thf(1412,plain,
    ! [SV89: a,SV85: a > $o] :
      ( ( ( ~ ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV89 )
              | ( SV85 @ SV89 ) )
          | ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV89 )
              | ~ ( SV85 @ SV89 ) ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1406]) ).

thf(1414,plain,
    ! [SV85: a > $o] :
      ( ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) )
           != SV85 )
          | ~ $true )
        = $false )
      | ( ( SV85 @ ( sK65_SV86 @ SV85 ) )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ ( sK65_SV86 @ SV85 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1407]) ).

thf(1415,plain,
    ! [SV85: a > $o] :
      ( ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ ( sK65_SV86 @ SV85 ) )
        = $false )
      | ( ( ~ ( SV85 @ ( sK65_SV86 @ SV85 ) ) )
        = $true )
      | ( ( ~ ( ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) )
               != SV85 )
              | ~ $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1408]) ).

thf(1420,plain,
    ! [SV89: a,SV85: a > $o] :
      ( ( ( ~ ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV89 )
              | ( SV85 @ SV89 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV89 )
              | ~ ( SV85 @ SV89 ) ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1412]) ).

thf(1421,plain,
    ! [SV85: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) )
         != SV85 )
        = $false )
      | ( ( SV85 @ ( sK65_SV86 @ SV85 ) )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ ( sK65_SV86 @ SV85 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1414]) ).

thf(1423,plain,
    ! [SV85: a > $o] :
      ( ( ( SV85 @ ( sK65_SV86 @ SV85 ) )
        = $false )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ ( sK65_SV86 @ SV85 ) )
        = $false )
      | ( ( ~ ( ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) )
               != SV85 )
              | ~ $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1415]) ).

thf(1426,plain,
    ! [SV89: a,SV85: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV89 )
          | ( SV85 @ SV89 ) )
        = $false )
      | ( ( ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV89 )
              | ~ ( SV85 @ SV89 ) ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1420]) ).

thf(1427,plain,
    ! [SV85: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) )
          = SV85 )
        = $true )
      | ( ( SV85 @ ( sK65_SV86 @ SV85 ) )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ ( sK65_SV86 @ SV85 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1421]) ).

thf(1429,plain,
    ! [SV85: a > $o] :
      ( ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) )
           != SV85 )
          | ~ $true )
        = $false )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ ( sK65_SV86 @ SV85 ) )
        = $false )
      | ( ( SV85 @ ( sK65_SV86 @ SV85 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1423]) ).

thf(1433,plain,
    ! [SV89: a,SV85: a > $o] :
      ( ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV89 )
        = $false )
      | ( ( ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV89 )
              | ~ ( SV85 @ SV89 ) ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1426]) ).

thf(1434,plain,
    ! [SV89: a,SV85: a > $o] :
      ( ( ( SV85 @ SV89 )
        = $false )
      | ( ( ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV89 )
              | ~ ( SV85 @ SV89 ) ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1426]) ).

thf(1435,plain,
    ! [SV85: a > $o] :
      ( ( ( ! [SV93: a] :
              ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV93 )
              = ( SV85 @ SV93 ) ) )
        = $true )
      | ( ( SV85 @ ( sK65_SV86 @ SV85 ) )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ ( sK65_SV86 @ SV85 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1427]) ).

thf(1436,plain,
    ! [SV85: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) )
          = SV85 )
        = $true )
      | ( ( SV85 @ ( sK65_SV86 @ SV85 ) )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ ( sK65_SV86 @ SV85 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1427]) ).

thf(1437,plain,
    ! [SV85: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) )
         != SV85 )
        = $false )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ ( sK65_SV86 @ SV85 ) )
        = $false )
      | ( ( SV85 @ ( sK65_SV86 @ SV85 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1429]) ).

thf(1442,plain,
    ! [SV89: a,SV85: a > $o] :
      ( ( ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV89 )
          | ~ ( SV85 @ SV89 ) )
        = $false )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV89 )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1433]) ).

thf(1443,plain,
    ! [SV89: a,SV85: a > $o] :
      ( ( ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV89 )
          | ~ ( SV85 @ SV89 ) )
        = $false )
      | ( ( SV85 @ SV89 )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1434]) ).

thf(1444,plain,
    ! [SV94: a,SV85: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV94 )
          = ( SV85 @ SV94 ) )
        = $true )
      | ( ( SV85 @ ( sK65_SV86 @ SV85 ) )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ ( sK65_SV86 @ SV85 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1435]) ).

thf(1445,plain,
    ! [SV85: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) )
          = SV85 )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ ( sK65_SV86 @ SV85 ) )
        = $false )
      | ( ( SV85 @ ( sK65_SV86 @ SV85 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1437]) ).

thf(1451,plain,
    ! [SV89: a,SV85: a > $o] :
      ( ( ( ~ ( SV85 @ SV89 ) )
        = $false )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV89 )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1442]) ).

thf(1452,plain,
    ! [SV89: a,SV85: a > $o] :
      ( ( ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV89 ) )
        = $false )
      | ( ( SV85 @ SV89 )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1443]) ).

thf(1454,plain,
    ! [SV94: a,SV85: a > $o] :
      ( ( ( ~ ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV94 )
              | ( SV85 @ SV94 ) )
          | ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV94 )
              | ~ ( SV85 @ SV94 ) ) )
        = $true )
      | ( ( SV85 @ ( sK65_SV86 @ SV85 ) )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ ( sK65_SV86 @ SV85 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1444]) ).

thf(1455,plain,
    ! [SV94: a,SV85: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV94 )
          = ( SV85 @ SV94 ) )
        = $true )
      | ( ( SV85 @ ( sK65_SV86 @ SV85 ) )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ ( sK65_SV86 @ SV85 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1444]) ).

thf(1456,plain,
    ! [SV85: a > $o] :
      ( ( ( ! [SV95: a] :
              ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV95 )
              = ( SV85 @ SV95 ) ) )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ ( sK65_SV86 @ SV85 ) )
        = $false )
      | ( ( SV85 @ ( sK65_SV86 @ SV85 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1445]) ).

thf(1457,plain,
    ! [SV85: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) )
          = SV85 )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ ( sK65_SV86 @ SV85 ) )
        = $false )
      | ( ( SV85 @ ( sK65_SV86 @ SV85 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1445]) ).

thf(1465,plain,
    ! [SV89: a,SV85: a > $o] :
      ( ( ( SV85 @ SV89 )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV89 )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1451]) ).

thf(1466,plain,
    ! [SV89: a,SV85: a > $o] :
      ( ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV89 )
        = $true )
      | ( ( SV85 @ SV89 )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1452]) ).

thf(1468,plain,
    ! [SV94: a,SV85: a > $o] :
      ( ( ( ~ ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV94 )
              | ( SV85 @ SV94 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV94 )
              | ~ ( SV85 @ SV94 ) ) )
        = $true )
      | ( ( SV85 @ ( sK65_SV86 @ SV85 ) )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ ( sK65_SV86 @ SV85 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1454]) ).

thf(1469,plain,
    ! [SV96: a,SV85: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV96 )
          = ( SV85 @ SV96 ) )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ ( sK65_SV86 @ SV85 ) )
        = $false )
      | ( ( SV85 @ ( sK65_SV86 @ SV85 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1456]) ).

thf(1476,plain,
    ! [SV94: a,SV85: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV94 )
          | ( SV85 @ SV94 ) )
        = $false )
      | ( ( ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV94 )
              | ~ ( SV85 @ SV94 ) ) )
        = $true )
      | ( ( SV85 @ ( sK65_SV86 @ SV85 ) )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ ( sK65_SV86 @ SV85 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1468]) ).

thf(1477,plain,
    ! [SV96: a,SV85: a > $o] :
      ( ( ( ~ ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV96 )
              | ( SV85 @ SV96 ) )
          | ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV96 )
              | ~ ( SV85 @ SV96 ) ) )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ ( sK65_SV86 @ SV85 ) )
        = $false )
      | ( ( SV85 @ ( sK65_SV86 @ SV85 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1469]) ).

thf(1478,plain,
    ! [SV96: a,SV85: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV96 )
          = ( SV85 @ SV96 ) )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ ( sK65_SV86 @ SV85 ) )
        = $false )
      | ( ( SV85 @ ( sK65_SV86 @ SV85 ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1469]) ).

thf(1483,plain,
    ! [SV94: a,SV85: a > $o] :
      ( ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV94 )
        = $false )
      | ( ( ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV94 )
              | ~ ( SV85 @ SV94 ) ) )
        = $true )
      | ( ( SV85 @ ( sK65_SV86 @ SV85 ) )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ ( sK65_SV86 @ SV85 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1476]) ).

thf(1484,plain,
    ! [SV94: a,SV85: a > $o] :
      ( ( ( SV85 @ SV94 )
        = $false )
      | ( ( ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV94 )
              | ~ ( SV85 @ SV94 ) ) )
        = $true )
      | ( ( SV85 @ ( sK65_SV86 @ SV85 ) )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ ( sK65_SV86 @ SV85 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1476]) ).

thf(1485,plain,
    ! [SV96: a,SV85: a > $o] :
      ( ( ( ~ ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV96 )
              | ( SV85 @ SV96 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV96 )
              | ~ ( SV85 @ SV96 ) ) )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ ( sK65_SV86 @ SV85 ) )
        = $false )
      | ( ( SV85 @ ( sK65_SV86 @ SV85 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1477]) ).

thf(1490,plain,
    ! [SV94: a,SV85: a > $o] :
      ( ( ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV94 )
          | ~ ( SV85 @ SV94 ) )
        = $false )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV94 )
        = $false )
      | ( ( SV85 @ ( sK65_SV86 @ SV85 ) )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ ( sK65_SV86 @ SV85 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1483]) ).

thf(1491,plain,
    ! [SV94: a,SV85: a > $o] :
      ( ( ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV94 )
          | ~ ( SV85 @ SV94 ) )
        = $false )
      | ( ( SV85 @ SV94 )
        = $false )
      | ( ( SV85 @ ( sK65_SV86 @ SV85 ) )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ ( sK65_SV86 @ SV85 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1484]) ).

thf(1492,plain,
    ! [SV96: a,SV85: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV96 )
          | ( SV85 @ SV96 ) )
        = $false )
      | ( ( ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV96 )
              | ~ ( SV85 @ SV96 ) ) )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ ( sK65_SV86 @ SV85 ) )
        = $false )
      | ( ( SV85 @ ( sK65_SV86 @ SV85 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1485]) ).

thf(1494,plain,
    ! [SV94: a,SV85: a > $o] :
      ( ( ( ~ ( SV85 @ SV94 ) )
        = $false )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV94 )
        = $false )
      | ( ( SV85 @ ( sK65_SV86 @ SV85 ) )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ ( sK65_SV86 @ SV85 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1490]) ).

thf(1495,plain,
    ! [SV94: a,SV85: a > $o] :
      ( ( ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV94 ) )
        = $false )
      | ( ( SV85 @ SV94 )
        = $false )
      | ( ( SV85 @ ( sK65_SV86 @ SV85 ) )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ ( sK65_SV86 @ SV85 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1491]) ).

thf(1497,plain,
    ! [SV96: a,SV85: a > $o] :
      ( ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV96 )
        = $false )
      | ( ( ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV96 )
              | ~ ( SV85 @ SV96 ) ) )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ ( sK65_SV86 @ SV85 ) )
        = $false )
      | ( ( SV85 @ ( sK65_SV86 @ SV85 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1492]) ).

thf(1498,plain,
    ! [SV96: a,SV85: a > $o] :
      ( ( ( SV85 @ SV96 )
        = $false )
      | ( ( ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV96 )
              | ~ ( SV85 @ SV96 ) ) )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ ( sK65_SV86 @ SV85 ) )
        = $false )
      | ( ( SV85 @ ( sK65_SV86 @ SV85 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1492]) ).

thf(1500,plain,
    ! [SV94: a,SV85: a > $o] :
      ( ( ( SV85 @ SV94 )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV94 )
        = $false )
      | ( ( SV85 @ ( sK65_SV86 @ SV85 ) )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ ( sK65_SV86 @ SV85 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1494]) ).

thf(1501,plain,
    ! [SV94: a,SV85: a > $o] :
      ( ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV94 )
        = $true )
      | ( ( SV85 @ SV94 )
        = $false )
      | ( ( SV85 @ ( sK65_SV86 @ SV85 ) )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ ( sK65_SV86 @ SV85 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1495]) ).

thf(1503,plain,
    ! [SV96: a,SV85: a > $o] :
      ( ( ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV96 )
          | ~ ( SV85 @ SV96 ) )
        = $false )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV96 )
        = $false )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ ( sK65_SV86 @ SV85 ) )
        = $false )
      | ( ( SV85 @ ( sK65_SV86 @ SV85 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1497]) ).

thf(1504,plain,
    ! [SV96: a,SV85: a > $o] :
      ( ( ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV96 )
          | ~ ( SV85 @ SV96 ) )
        = $false )
      | ( ( SV85 @ SV96 )
        = $false )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ ( sK65_SV86 @ SV85 ) )
        = $false )
      | ( ( SV85 @ ( sK65_SV86 @ SV85 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1498]) ).

thf(1506,plain,
    ! [SV96: a,SV85: a > $o] :
      ( ( ( ~ ( SV85 @ SV96 ) )
        = $false )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV96 )
        = $false )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ ( sK65_SV86 @ SV85 ) )
        = $false )
      | ( ( SV85 @ ( sK65_SV86 @ SV85 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1503]) ).

thf(1507,plain,
    ! [SV96: a,SV85: a > $o] :
      ( ( ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV96 ) )
        = $false )
      | ( ( SV85 @ SV96 )
        = $false )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ ( sK65_SV86 @ SV85 ) )
        = $false )
      | ( ( SV85 @ ( sK65_SV86 @ SV85 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1504]) ).

thf(1510,plain,
    ! [SV96: a,SV85: a > $o] :
      ( ( ( SV85 @ SV96 )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV96 )
        = $false )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ ( sK65_SV86 @ SV85 ) )
        = $false )
      | ( ( SV85 @ ( sK65_SV86 @ SV85 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1506]) ).

thf(1511,plain,
    ! [SV96: a,SV85: a > $o] :
      ( ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV96 )
        = $true )
      | ( ( SV85 @ SV96 )
        = $false )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ ( sK65_SV86 @ SV85 ) )
        = $false )
      | ( ( SV85 @ ( sK65_SV86 @ SV85 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1507]) ).

thf(1513,plain,
    ! [SV85: a > $o] :
      ( ( ( ! [SV97: a] :
              ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV97 )
              = ( SV85 @ SV97 ) ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1372]) ).

thf(1515,plain,
    ! [SV98: a,SV85: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV98 )
          = ( SV85 @ SV98 ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1513]) ).

thf(1516,plain,
    ! [SV98: a,SV85: a > $o] :
      ( ( ( ~ ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV98 )
              | ( SV85 @ SV98 ) )
          | ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV98 )
              | ~ ( SV85 @ SV98 ) ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1515]) ).

thf(1518,plain,
    ! [SV98: a,SV85: a > $o] :
      ( ( ( ~ ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV98 )
              | ( SV85 @ SV98 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV98 )
              | ~ ( SV85 @ SV98 ) ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1516]) ).

thf(1519,plain,
    ! [SV98: a,SV85: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV98 )
          | ( SV85 @ SV98 ) )
        = $false )
      | ( ( ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV98 )
              | ~ ( SV85 @ SV98 ) ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1518]) ).

thf(1520,plain,
    ! [SV98: a,SV85: a > $o] :
      ( ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV98 )
        = $false )
      | ( ( ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV98 )
              | ~ ( SV85 @ SV98 ) ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1519]) ).

thf(1521,plain,
    ! [SV98: a,SV85: a > $o] :
      ( ( ( SV85 @ SV98 )
        = $false )
      | ( ( ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV98 )
              | ~ ( SV85 @ SV98 ) ) )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1519]) ).

thf(1522,plain,
    ! [SV98: a,SV85: a > $o] :
      ( ( ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV98 )
          | ~ ( SV85 @ SV98 ) )
        = $false )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV98 )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1520]) ).

thf(1523,plain,
    ! [SV98: a,SV85: a > $o] :
      ( ( ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV98 )
          | ~ ( SV85 @ SV98 ) )
        = $false )
      | ( ( SV85 @ SV98 )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1521]) ).

thf(1525,plain,
    ! [SV98: a,SV85: a > $o] :
      ( ( ( ~ ( SV85 @ SV98 ) )
        = $false )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV98 )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1522]) ).

thf(1526,plain,
    ! [SV98: a,SV85: a > $o] :
      ( ( ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV98 ) )
        = $false )
      | ( ( SV85 @ SV98 )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1523]) ).

thf(1529,plain,
    ! [SV98: a,SV85: a > $o] :
      ( ( ( SV85 @ SV98 )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV98 )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1525]) ).

thf(1530,plain,
    ! [SV98: a,SV85: a > $o] :
      ( ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV98 )
        = $true )
      | ( ( SV85 @ SV98 )
        = $false )
      | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1526]) ).

thf(1532,plain,
    ! [SV98: a,SV85: a > $o] :
      ( ( ( SV85 @ SV98 )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV98 )
        = $false ) ),
    inference(sim,[status(thm)],[1529]) ).

thf(1533,plain,
    ! [SV98: a,SV85: a > $o] :
      ( ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV98 )
        = $true )
      | ( ( SV85 @ SV98 )
        = $false ) ),
    inference(sim,[status(thm)],[1530]) ).

thf(1536,plain,
    ! [SV89: a,SV85: a > $o] :
      ( ( ( SV85 @ SV89 )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV89 )
        = $false ) ),
    inference(sim,[status(thm)],[1465]) ).

thf(1537,plain,
    ! [SV89: a,SV85: a > $o] :
      ( ( ( sK1_Xg @ ( sK2_SY4 @ SV85 ) @ SV89 )
        = $true )
      | ( ( SV85 @ SV89 )
        = $false ) ),
    inference(sim,[status(thm)],[1466]) ).

thf(1540,plain,
    ! [SV99: a > $o] :
      ( ( ( sK1_Xg @ ( sK2_SY4 @ SV99 ) )
        = SV99 )
      = $true ),
    inference(rename,[status(thm)],[1307]) ).

thf(1541,plain,
    ! [SV99: a > $o] :
      ( ( ! [SV100: a] :
            ( ( sK1_Xg @ ( sK2_SY4 @ SV99 ) @ SV100 )
            = ( SV99 @ SV100 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1540]) ).

thf(1543,plain,
    ! [SV101: a,SV99: a > $o] :
      ( ( ( sK1_Xg @ ( sK2_SY4 @ SV99 ) @ SV101 )
        = ( SV99 @ SV101 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[1541]) ).

thf(1544,plain,
    ! [SV101: a,SV99: a > $o] :
      ( ( ~ ( ( sK1_Xg @ ( sK2_SY4 @ SV99 ) @ SV101 )
            | ( SV99 @ SV101 ) )
        | ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV99 ) @ SV101 )
            | ~ ( SV99 @ SV101 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1543]) ).

thf(1546,plain,
    ! [SV101: a,SV99: a > $o] :
      ( ( ( ~ ( ( sK1_Xg @ ( sK2_SY4 @ SV99 ) @ SV101 )
              | ( SV99 @ SV101 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV99 ) @ SV101 )
              | ~ ( SV99 @ SV101 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1544]) ).

thf(1547,plain,
    ! [SV101: a,SV99: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV99 ) @ SV101 )
          | ( SV99 @ SV101 ) )
        = $false )
      | ( ( ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV99 ) @ SV101 )
              | ~ ( SV99 @ SV101 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1546]) ).

thf(1548,plain,
    ! [SV101: a,SV99: a > $o] :
      ( ( ( sK1_Xg @ ( sK2_SY4 @ SV99 ) @ SV101 )
        = $false )
      | ( ( ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV99 ) @ SV101 )
              | ~ ( SV99 @ SV101 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1547]) ).

thf(1549,plain,
    ! [SV101: a,SV99: a > $o] :
      ( ( ( SV99 @ SV101 )
        = $false )
      | ( ( ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV99 ) @ SV101 )
              | ~ ( SV99 @ SV101 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1547]) ).

thf(1550,plain,
    ! [SV101: a,SV99: a > $o] :
      ( ( ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV99 ) @ SV101 )
          | ~ ( SV99 @ SV101 ) )
        = $false )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV99 ) @ SV101 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1548]) ).

thf(1551,plain,
    ! [SV101: a,SV99: a > $o] :
      ( ( ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV99 ) @ SV101 )
          | ~ ( SV99 @ SV101 ) )
        = $false )
      | ( ( SV99 @ SV101 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1549]) ).

thf(1553,plain,
    ! [SV101: a,SV99: a > $o] :
      ( ( ( ~ ( SV99 @ SV101 ) )
        = $false )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV99 ) @ SV101 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1550]) ).

thf(1554,plain,
    ! [SV101: a,SV99: a > $o] :
      ( ( ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV99 ) @ SV101 ) )
        = $false )
      | ( ( SV99 @ SV101 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1551]) ).

thf(1557,plain,
    ! [SV101: a,SV99: a > $o] :
      ( ( ( SV99 @ SV101 )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV99 ) @ SV101 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1553]) ).

thf(1558,plain,
    ! [SV101: a,SV99: a > $o] :
      ( ( ( sK1_Xg @ ( sK2_SY4 @ SV99 ) @ SV101 )
        = $true )
      | ( ( SV99 @ SV101 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1554]) ).

thf(1560,plain,
    ! [SV102: a,SV103: a > $o] :
      ( ( ( sK1_Xg @ ( sK2_SY4 @ SV103 ) @ SV102 )
        = ( SV103 @ SV102 ) )
      = $true ),
    inference(rename,[status(thm)],[1308]) ).

thf(1561,plain,
    ! [SV102: a,SV103: a > $o] :
      ( ( ( sK1_Xg @ ( sK2_SY4 @ SV103 ) @ SV102 )
        = $true )
      | ( ( SV103 @ SV102 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1560]) ).

thf(1562,plain,
    ! [SV102: a,SV103: a > $o] :
      ( ( ( sK1_Xg @ ( sK2_SY4 @ SV103 ) @ SV102 )
        = $false )
      | ( ( SV103 @ SV102 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1560]) ).

thf(1563,plain,
    ! [SV102: a,SV103: a > $o] :
      ( ( ~ ( ( sK1_Xg @ ( sK2_SY4 @ SV103 ) @ SV102 )
            | ( SV103 @ SV102 ) )
        | ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV103 ) @ SV102 )
            | ~ ( SV103 @ SV102 ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[1560]) ).

thf(1565,plain,
    ! [SV102: a,SV103: a > $o] :
      ( ( ( ~ ( ( sK1_Xg @ ( sK2_SY4 @ SV103 ) @ SV102 )
              | ( SV103 @ SV102 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV103 ) @ SV102 )
              | ~ ( SV103 @ SV102 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1563]) ).

thf(1566,plain,
    ! [SV102: a,SV103: a > $o] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV103 ) @ SV102 )
          | ( SV103 @ SV102 ) )
        = $false )
      | ( ( ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV103 ) @ SV102 )
              | ~ ( SV103 @ SV102 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1565]) ).

thf(1567,plain,
    ! [SV102: a,SV103: a > $o] :
      ( ( ( sK1_Xg @ ( sK2_SY4 @ SV103 ) @ SV102 )
        = $false )
      | ( ( ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV103 ) @ SV102 )
              | ~ ( SV103 @ SV102 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1566]) ).

thf(1568,plain,
    ! [SV102: a,SV103: a > $o] :
      ( ( ( SV103 @ SV102 )
        = $false )
      | ( ( ~ ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV103 ) @ SV102 )
              | ~ ( SV103 @ SV102 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1566]) ).

thf(1569,plain,
    ! [SV102: a,SV103: a > $o] :
      ( ( ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV103 ) @ SV102 )
          | ~ ( SV103 @ SV102 ) )
        = $false )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV103 ) @ SV102 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1567]) ).

thf(1570,plain,
    ! [SV102: a,SV103: a > $o] :
      ( ( ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV103 ) @ SV102 )
          | ~ ( SV103 @ SV102 ) )
        = $false )
      | ( ( SV103 @ SV102 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1568]) ).

thf(1572,plain,
    ! [SV102: a,SV103: a > $o] :
      ( ( ( ~ ( SV103 @ SV102 ) )
        = $false )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV103 ) @ SV102 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1569]) ).

thf(1573,plain,
    ! [SV102: a,SV103: a > $o] :
      ( ( ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV103 ) @ SV102 ) )
        = $false )
      | ( ( SV103 @ SV102 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1570]) ).

thf(1576,plain,
    ! [SV102: a,SV103: a > $o] :
      ( ( ( SV103 @ SV102 )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV103 ) @ SV102 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1572]) ).

thf(1577,plain,
    ! [SV102: a,SV103: a > $o] :
      ( ( ( sK1_Xg @ ( sK2_SY4 @ SV103 ) @ SV102 )
        = $true )
      | ( ( SV103 @ SV102 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1573]) ).

thf(1579,plain,
    ! [SV104: a] :
      ( ( sK1_Xg
        @ ( sK2_SY4
          @ ^ [SX0: a] : $true )
        @ SV104 )
      = $true ),
    inference(rename,[status(thm)],[1323]) ).

thf(1583,plain,
    ! [SV108: a] :
      ( ( sK1_Xg
        @ ( sK2_SY4
          @ ^ [SX0: a] : $false )
        @ SV108 )
      = $false ),
    inference(rename,[status(thm)],[1326]) ).

thf(1584,plain,
    ! [SV108: a,SV104: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV108 )
        = ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV104 ) )
      = $false ),
    inference(res,[status(thm)],[1583,1579]) ).

thf(1590,plain,
    ( ( ( sK2_SY4
        @ ^ [SX0: a] : $false )
      = ( sK2_SY4
        @ ^ [SX0: a] : $true ) )
    = $false ),
    inference(extuni,[status(esa)],[1584:[bind(SV108,$thf( SV104 ))]]) ).

thf(1618,plain,
    ! [SV137: a,SV138: a > $o] :
      ( ( ( SV138 @ SV137 )
        = $true )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV138 ) @ SV137 )
        = $false ) ),
    inference(rename,[status(thm)],[1309]) ).

thf(1619,plain,
    ! [SV137: a,SV138: a > $o,SV137: a,SV138: a > $o] :
      ( ( ( ( SV138 @ SV137 )
          = ( sK1_Xg @ ( sK2_SY4 @ SV138 ) @ SV137 ) )
        = $false )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV138 ) @ SV137 )
        = $false )
      | ( ( SV138 @ SV137 )
        = $true ) ),
    inference(res,[status(thm)],[1618,1618]) ).

thf(1621,plain,
    ! [SV137: a,SV138: a > $o] :
      ( ( ( ( SV138 @ SV137 )
          = ( ( sK2_SY4
              @ ^ [SX0: a] : $false )
            = ( sK2_SY4
              @ ^ [SX0: a] : $true ) ) )
        = $false )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV138 ) @ SV137 )
        = $false ) ),
    inference(res,[status(thm)],[1618,1590]) ).

thf(1622,plain,
    ! [SV137: a,SV138: a > $o,SV108: a] :
      ( ( ( ( SV138 @ SV137 )
          = ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] : $false )
            @ SV108 ) )
        = $false )
      | ( ( sK1_Xg @ ( sK2_SY4 @ SV138 ) @ SV137 )
        = $false ) ),
    inference(res,[status(thm)],[1618,1583]) ).

thf(1623,plain,
    ! [SV137: a,SV138: a > $o,SV104: a] :
      ( ( ( ( sK1_Xg @ ( sK2_SY4 @ SV138 ) @ SV137 )
          = ( sK1_Xg
            @ ( sK2_SY4
              @ ^ [SX0: a] : $true )
            @ SV104 ) )
        = $false )
      | ( ( SV138 @ SV137 )
        = $true ) ),
    inference(res,[status(thm)],[1618,1579]) ).

thf(1630,plain,
    ! [SV137: a,SV171: a > $o] :
      ( ( ( ~ ( SV171 @ SV137 ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV171 @ SX0 ) )
          @ SV137 )
        = $false ) ),
    inference(prim_subst,[status(thm)],[1618:[bind(SV138,$thf( ^ [SV170: a] : ~ ( SV171 @ SV170 ) ))]]) ).

thf(1631,plain,
    ! [SV137: a] :
      ( ( ( SV137 = sK69_E )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : ( SX0 = sK69_E ) )
          @ SV137 )
        = $false ) ),
    inference(prim_subst,[status(thm)],[1618:[bind(SV138,$thf( ^ [SV146: a] : ( SV146 = sK69_E ) ))]]) ).

thf(1632,plain,
    ! [SV137: a] :
      ( ( ( SV137 = sK28_SV72 )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : ( SX0 = sK28_SV72 ) )
          @ SV137 )
        = $false ) ),
    inference(prim_subst,[status(thm)],[1618:[bind(SV138,$thf( ^ [SV147: a] : ( SV147 = sK28_SV72 ) ))]]) ).

thf(1633,plain,
    ! [SV137: a] :
      ( ( ( SV137 = sK5_SV46 )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : ( SX0 = sK5_SV46 ) )
          @ SV137 )
        = $false ) ),
    inference(prim_subst,[status(thm)],[1618:[bind(SV138,$thf( ^ [SV148: a] : ( SV148 = sK5_SV46 ) ))]]) ).

thf(1634,plain,
    ! [SV137: a] :
      ( ( ( SV137 = sK62_E )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : ( SX0 = sK62_E ) )
          @ SV137 )
        = $false ) ),
    inference(prim_subst,[status(thm)],[1618:[bind(SV138,$thf( ^ [SV149: a] : ( SV149 = sK62_E ) ))]]) ).

thf(1635,plain,
    ! [SV137: a] :
      ( ( ( SV137 = sK36_E )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : ( SX0 = sK36_E ) )
          @ SV137 )
        = $false ) ),
    inference(prim_subst,[status(thm)],[1618:[bind(SV138,$thf( ^ [SV150: a] : ( SV150 = sK36_E ) ))]]) ).

thf(1636,plain,
    ! [SV137: a] :
      ( ( ( SV137 = sK74_E )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : ( SX0 = sK74_E ) )
          @ SV137 )
        = $false ) ),
    inference(prim_subst,[status(thm)],[1618:[bind(SV138,$thf( ^ [SV151: a] : ( SV151 = sK74_E ) ))]]) ).

thf(1637,plain,
    ! [SV137: a] :
      ( ( ( SV137 = sK35_E )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : ( SX0 = sK35_E ) )
          @ SV137 )
        = $false ) ),
    inference(prim_subst,[status(thm)],[1618:[bind(SV138,$thf( ^ [SV152: a] : ( SV152 = sK35_E ) ))]]) ).

thf(1638,plain,
    ! [SV137: a] :
      ( ( ( SV137 = sK8_SV52 )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : ( SX0 = sK8_SV52 ) )
          @ SV137 )
        = $false ) ),
    inference(prim_subst,[status(thm)],[1618:[bind(SV138,$thf( ^ [SV153: a] : ( SV153 = sK8_SV52 ) ))]]) ).

thf(1639,plain,
    ! [SV137: a] :
      ( ( ( SV137 = sK67_E )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : ( SX0 = sK67_E ) )
          @ SV137 )
        = $false ) ),
    inference(prim_subst,[status(thm)],[1618:[bind(SV138,$thf( ^ [SV154: a] : ( SV154 = sK67_E ) ))]]) ).

thf(1640,plain,
    ! [SV137: a] :
      ( ( ( SV137 = sK66_E )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : ( SX0 = sK66_E ) )
          @ SV137 )
        = $false ) ),
    inference(prim_subst,[status(thm)],[1618:[bind(SV138,$thf( ^ [SV155: a] : ( SV155 = sK66_E ) ))]]) ).

thf(1641,plain,
    ! [SV137: a] :
      ( ( ( SV137 = sK71_E )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : ( SX0 = sK71_E ) )
          @ SV137 )
        = $false ) ),
    inference(prim_subst,[status(thm)],[1618:[bind(SV138,$thf( ^ [SV156: a] : ( SV156 = sK71_E ) ))]]) ).

thf(1642,plain,
    ! [SV137: a] :
      ( ( ( SV137 = sK29_SV73 )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : ( SX0 = sK29_SV73 ) )
          @ SV137 )
        = $false ) ),
    inference(prim_subst,[status(thm)],[1618:[bind(SV138,$thf( ^ [SV157: a] : ( SV157 = sK29_SV73 ) ))]]) ).

thf(1643,plain,
    ! [SV137: a] :
      ( ( ( SV137 = sK72_E )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : ( SX0 = sK72_E ) )
          @ SV137 )
        = $false ) ),
    inference(prim_subst,[status(thm)],[1618:[bind(SV138,$thf( ^ [SV158: a] : ( SV158 = sK72_E ) ))]]) ).

thf(1644,plain,
    ! [SV137: a] :
      ( ( ( SV137 = sK38_E )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : ( SX0 = sK38_E ) )
          @ SV137 )
        = $false ) ),
    inference(prim_subst,[status(thm)],[1618:[bind(SV138,$thf( ^ [SV159: a] : ( SV159 = sK38_E ) ))]]) ).

thf(1645,plain,
    ! [SV137: a] :
      ( ( ( SV137 = sK73_E )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : ( SX0 = sK73_E ) )
          @ SV137 )
        = $false ) ),
    inference(prim_subst,[status(thm)],[1618:[bind(SV138,$thf( ^ [SV160: a] : ( SV160 = sK73_E ) ))]]) ).

thf(1646,plain,
    ! [SV137: a] :
      ( ( ( SV137 = sK39_E )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : ( SX0 = sK39_E ) )
          @ SV137 )
        = $false ) ),
    inference(prim_subst,[status(thm)],[1618:[bind(SV138,$thf( ^ [SV161: a] : ( SV161 = sK39_E ) ))]]) ).

thf(1647,plain,
    ! [SV137: a] :
      ( ( ( SV137 = sK70_E )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : ( SX0 = sK70_E ) )
          @ SV137 )
        = $false ) ),
    inference(prim_subst,[status(thm)],[1618:[bind(SV138,$thf( ^ [SV162: a] : ( SV162 = sK70_E ) ))]]) ).

thf(1648,plain,
    ! [SV137: a] :
      ( ( ( SV137 = sK9_SV53 )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : ( SX0 = sK9_SV53 ) )
          @ SV137 )
        = $false ) ),
    inference(prim_subst,[status(thm)],[1618:[bind(SV138,$thf( ^ [SV163: a] : ( SV163 = sK9_SV53 ) ))]]) ).

thf(1649,plain,
    ! [SV137: a] :
      ( ( ( SV137 = sK6_SV48 )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : ( SX0 = sK6_SV48 ) )
          @ SV137 )
        = $false ) ),
    inference(prim_subst,[status(thm)],[1618:[bind(SV138,$thf( ^ [SV164: a] : ( SV164 = sK6_SV48 ) ))]]) ).

thf(1650,plain,
    ! [SV137: a] :
      ( ( ( SV137 = sK77_E )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : ( SX0 = sK77_E ) )
          @ SV137 )
        = $false ) ),
    inference(prim_subst,[status(thm)],[1618:[bind(SV138,$thf( ^ [SV165: a] : ( SV165 = sK77_E ) ))]]) ).

thf(1651,plain,
    ! [SV137: a] :
      ( ( ( SV137 = sK63_E )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : ( SX0 = sK63_E ) )
          @ SV137 )
        = $false ) ),
    inference(prim_subst,[status(thm)],[1618:[bind(SV138,$thf( ^ [SV166: a] : ( SV166 = sK63_E ) ))]]) ).

thf(1652,plain,
    ! [SV137: a] :
      ( ( ( SV137 = sK75_E )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : ( SX0 = sK75_E ) )
          @ SV137 )
        = $false ) ),
    inference(prim_subst,[status(thm)],[1618:[bind(SV138,$thf( ^ [SV167: a] : ( SV167 = sK75_E ) ))]]) ).

thf(1653,plain,
    ! [SV137: a] :
      ( ( ( SV137 = sK76_E )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : ( SX0 = sK76_E ) )
          @ SV137 )
        = $false ) ),
    inference(prim_subst,[status(thm)],[1618:[bind(SV138,$thf( ^ [SV168: a] : ( SV168 = sK76_E ) ))]]) ).

thf(1654,plain,
    ! [SV137: a] :
      ( ( ( SV137 = sK78_E )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : ( SX0 = sK78_E ) )
          @ SV137 )
        = $false ) ),
    inference(prim_subst,[status(thm)],[1618:[bind(SV138,$thf( ^ [SV169: a] : ( SV169 = sK78_E ) ))]]) ).

thf(1655,plain,
    ! [SV145: a > $o,SV137: a,SV144: a > $o] :
      ( ( ( ( SV144 @ SV137 )
          | ( SV145 @ SV137 ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ( ( SV144 @ SX0 )
                | ( SV145 @ SX0 ) ) )
          @ SV137 )
        = $false ) ),
    inference(prim_subst,[status(thm)],[1618:[bind(SV138,$thf( ^ [SV143: a] : ( ( SV144 @ SV143 ) | ( SV145 @ SV143 ) ) ))]]) ).

thf(1656,plain,
    ! [SV142: a > a,SV137: a,SV141: a > a] :
      ( ( ( ( SV141 @ SV137 )
          = ( SV142 @ SV137 ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ( ( SV141 @ SX0 )
                = ( SV142 @ SX0 ) ) )
          @ SV137 )
        = $false ) ),
    inference(prim_subst,[status(thm)],[1618:[bind(SV138,$thf( ^ [SV140: a] : ( ( SV141 @ SV140 ) = ( SV142 @ SV140 ) ) ))]]) ).

thf(1657,plain,
    ! [SV137: a,SV138: a > $o] :
      ( ( ( SV138 @ SV137 )
        = $true )
      | ( ( ( SV138 @ SV137 )
          = ( ~ ( sK1_Xg @ ( sK2_SY4 @ SV138 ) @ SV137 ) ) )
        = $false ) ),
    inference(fac_restr,[status(thm)],[1618]) ).

thf(1659,plain,
    ! [SV104: a,SV138: a > $o] :
      ( ( ( SV138 @ SV104 )
        = $true )
      | ( ( ( sK2_SY4 @ SV138 )
          = ( sK2_SY4
            @ ^ [SX0: a] : $true ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1623:[bind(SV137,$thf( SV104 ))]]) ).

thf(1660,plain,
    ! [SV137: a,SV177: a > a] :
      ( ( sK1_Xg
        @ ( sK2_SY4
          @ ^ [SX0: a] :
              ( sK1_Xg
              @ ( sK2_SY4
                @ ^ [SX1: a] : $false )
              @ ( SV177 @ SX0 ) ) )
        @ SV137 )
      = $false ),
    inference(extuni,[status(esa)],[1622:[bind(SV108,$thf( SV177 @ SV137 )),bind(SV138,$thf( ^ [SX0: a] : ( sK1_Xg @ ( sK2_SY4 @ ^ [SX1: a] : $false ) @ ( SV177 @ SX0 ) ) ))]]) ).

thf(1661,plain,
    ! [SV137: a,SV177: a > a,SV180: a > a > $o] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : ( sK1_Xg @ ( sK2_SY4 @ ( SV180 @ SX0 ) ) @ ( SV177 @ SX0 ) ) )
          @ SV137 )
        = $false )
      | ( ( ( sK2_SY4 @ ( SV180 @ SV137 ) )
          = ( sK2_SY4
            @ ^ [SX0: a] : $false ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1622:[bind(SV108,$thf( SV177 @ SV137 )),bind(SV138,$thf( ^ [SX0: a] : ( sK1_Xg @ ( sK2_SY4 @ ( SV180 @ SX0 ) ) @ ( SV177 @ SX0 ) ) ))]]) ).

thf(1662,plain,
    ! [SV177: a > a] :
      ( ( sK1_Xg
        @ ( sK2_SY4
          @ ^ [SX0: a] : ( sK1_Xg @ SX0 @ ( SV177 @ SX0 ) ) )
        @ ( sK2_SY4
          @ ^ [SX0: a] : $false ) )
      = $false ),
    inference(extuni,[status(esa)],[1622:[bind(SV108,$thf( SV177 @ ( sK2_SY4 @ ^ [SX0: a] : $false ) )),bind(SV137,$thf( sK2_SY4 @ ^ [SX0: a] : $false )),bind(SV138,$thf( ^ [SX0: a] : ( sK1_Xg @ SX0 @ ( SV177 @ SX0 ) ) ))]]) ).

thf(1663,plain,
    ! [SV108: a,SV137: a,SV177: a > a,SV176: a > a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : ( sK1_Xg @ ( SV176 @ SX0 ) @ ( SV177 @ SX0 ) ) )
          @ SV137 )
        = $false )
      | ( ( sK1_Xg @ ( SV176 @ SV137 ) @ ( SV177 @ SV137 ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV108 )
        = $true ) ),
    inference(extuni,[status(esa)],[1622:[bind(SV138,$thf( ^ [SX0: a] : ( sK1_Xg @ ( SV176 @ SX0 ) @ ( SV177 @ SX0 ) ) ))]]) ).

thf(1664,plain,
    ! [SV108: a,SV137: a,SV177: a > a,SV176: a > a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : ( sK1_Xg @ ( SV176 @ SX0 ) @ ( SV177 @ SX0 ) ) )
          @ SV137 )
        = $false )
      | ( ( sK1_Xg @ ( SV176 @ SV137 ) @ ( SV177 @ SV137 ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV108 )
        = $false ) ),
    inference(extuni,[status(esa)],[1622:[bind(SV138,$thf( ^ [SX0: a] : ( sK1_Xg @ ( SV176 @ SX0 ) @ ( SV177 @ SX0 ) ) ))]]) ).

thf(1665,plain,
    ! [SV137: a] :
      ( ( sK1_Xg
        @ ( sK2_SY4
          @ ^ [SX0: a] :
              ( ( sK2_SY4
                @ ^ [SX1: a] : $true )
              = ( sK2_SY4
                @ ^ [SX1: a] : $false ) ) )
        @ SV137 )
      = $false ),
    inference(extuni,[status(esa)],[1621:[bind(SV138,$thf( ^ [SX0: a] : ( ( sK2_SY4 @ ^ [SX1: a] : $true ) = ( sK2_SY4 @ ^ [SX1: a] : $false ) ) ))]]) ).

thf(1666,plain,
    ! [SV137: a,SV205: a > a > $o] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ( ( sK2_SY4 @ ( SV205 @ SX0 ) )
                = ( sK2_SY4
                  @ ^ [SX1: a] : $false ) ) )
          @ SV137 )
        = $false )
      | ( ( ( sK2_SY4 @ ( SV205 @ SV137 ) )
          = ( sK2_SY4
            @ ^ [SX0: a] : $true ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1621:[bind(SV138,$thf( ^ [SX0: a] : ( ( sK2_SY4 @ ( SV205 @ SX0 ) ) = ( sK2_SY4 @ ^ [SX1: a] : $false ) ) ))]]) ).

thf(1667,plain,
    ( ( sK1_Xg
      @ ( sK2_SY4
        @ ^ [SX0: a] :
            ( SX0
            = ( sK2_SY4
              @ ^ [SX1: a] : $false ) ) )
      @ ( sK2_SY4
        @ ^ [SX0: a] : $true ) )
    = $false ),
    inference(extuni,[status(esa)],[1621:[bind(SV137,$thf( sK2_SY4 @ ^ [SX0: a] : $true )),bind(SV138,$thf( ^ [SX0: a] : ( SX0 = ( sK2_SY4 @ ^ [SX1: a] : $false ) ) ))]]) ).

thf(1668,plain,
    ! [SV137: a,SV191: a > a > $o] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ( ( sK2_SY4
                  @ ^ [SX1: a] : $true )
                = ( sK2_SY4 @ ( SV191 @ SX0 ) ) ) )
          @ SV137 )
        = $false )
      | ( ( ( sK2_SY4 @ ( SV191 @ SV137 ) )
          = ( sK2_SY4
            @ ^ [SX0: a] : $false ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1621:[bind(SV138,$thf( ^ [SX0: a] : ( ( sK2_SY4 @ ^ [SX1: a] : $true ) = ( sK2_SY4 @ ( SV191 @ SX0 ) ) ) ))]]) ).

thf(1669,plain,
    ! [SV137: a,SV191: a > a > $o,SV212: a > a > $o] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ( ( sK2_SY4 @ ( SV212 @ SX0 ) )
                = ( sK2_SY4 @ ( SV191 @ SX0 ) ) ) )
          @ SV137 )
        = $false )
      | ( ( ( sK2_SY4 @ ( SV212 @ SV137 ) )
          = ( sK2_SY4
            @ ^ [SX0: a] : $true ) )
        = $false )
      | ( ( ( sK2_SY4 @ ( SV191 @ SV137 ) )
          = ( sK2_SY4
            @ ^ [SX0: a] : $false ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1621:[bind(SV138,$thf( ^ [SX0: a] : ( ( sK2_SY4 @ ( SV212 @ SX0 ) ) = ( sK2_SY4 @ ( SV191 @ SX0 ) ) ) ))]]) ).

thf(1670,plain,
    ! [SV191: a > a > $o] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ( SX0
                = ( sK2_SY4 @ ( SV191 @ SX0 ) ) ) )
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true ) )
        = $false )
      | ( ( ( sK2_SY4
            @ ( SV191
              @ ( sK2_SY4
                @ ^ [SX0: a] : $true ) ) )
          = ( sK2_SY4
            @ ^ [SX0: a] : $false ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1621:[bind(SV137,$thf( sK2_SY4 @ ^ [SX0: a] : $true )),bind(SV138,$thf( ^ [SX0: a] : ( SX0 = ( sK2_SY4 @ ( SV191 @ SX0 ) ) ) ))]]) ).

thf(1671,plain,
    ( ( sK1_Xg
      @ ( sK2_SY4
        @ ^ [SX0: a] :
            ( ( sK2_SY4
              @ ^ [SX1: a] : $true )
            = SX0 ) )
      @ ( sK2_SY4
        @ ^ [SX0: a] : $false ) )
    = $false ),
    inference(extuni,[status(esa)],[1621:[bind(SV137,$thf( sK2_SY4 @ ^ [SX0: a] : $false )),bind(SV138,$thf( ^ [SX0: a] : ( ( sK2_SY4 @ ^ [SX1: a] : $true ) = SX0 ) ))]]) ).

thf(1672,plain,
    ! [SV194: a > a > $o] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ( ( sK2_SY4 @ ( SV194 @ SX0 ) )
                = SX0 ) )
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false ) )
        = $false )
      | ( ( ( sK2_SY4
            @ ( SV194
              @ ( sK2_SY4
                @ ^ [SX0: a] : $false ) ) )
          = ( sK2_SY4
            @ ^ [SX0: a] : $true ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1621:[bind(SV137,$thf( sK2_SY4 @ ^ [SX0: a] : $false )),bind(SV138,$thf( ^ [SX0: a] : ( ( sK2_SY4 @ ( SV194 @ SX0 ) ) = SX0 ) ))]]) ).

thf(1675,plain,
    ( ( ( sK1_Xg
        @ ( sK2_SY4
          @ ^ [SX0: a] : ( SX0 = SX0 ) )
        @ ( sK2_SY4
          @ ^ [SX0: a] : $false ) )
      = $false )
    | ( ( ( sK2_SY4
          @ ^ [SX0: a] : $false )
        = ( sK2_SY4
          @ ^ [SX0: a] : $true ) )
      = $false ) ),
    inference(extuni,[status(esa)],[1621:[bind(SV137,$thf( sK2_SY4 @ ^ [SX0: a] : $false )),bind(SV138,$thf( ^ [SX0: a] : ( SX0 = SX0 ) ))]]) ).

thf(1676,plain,
    ! [SV137: a] :
      ( ( sK1_Xg
        @ ( sK2_SY4
          @ ^ [SX0: a] :
              ( ( sK2_SY4
                @ ^ [SX1: a] : $false )
              = ( sK2_SY4
                @ ^ [SX1: a] : $true ) ) )
        @ SV137 )
      = $false ),
    inference(extuni,[status(esa)],[1621:[bind(SV138,$thf( ^ [SX0: a] : ( ( sK2_SY4 @ ^ [SX1: a] : $false ) = ( sK2_SY4 @ ^ [SX1: a] : $true ) ) ))]]) ).

thf(1677,plain,
    ! [SV137: a,SV233: a > a > $o] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ( ( sK2_SY4
                  @ ^ [SX1: a] : $false )
                = ( sK2_SY4 @ ( SV233 @ SX0 ) ) ) )
          @ SV137 )
        = $false )
      | ( ( ( sK2_SY4 @ ( SV233 @ SV137 ) )
          = ( sK2_SY4
            @ ^ [SX0: a] : $true ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1621:[bind(SV138,$thf( ^ [SX0: a] : ( ( sK2_SY4 @ ^ [SX1: a] : $false ) = ( sK2_SY4 @ ( SV233 @ SX0 ) ) ) ))]]) ).

thf(1678,plain,
    ( ( sK1_Xg
      @ ( sK2_SY4
        @ ^ [SX0: a] :
            ( ( sK2_SY4
              @ ^ [SX1: a] : $false )
            = SX0 ) )
      @ ( sK2_SY4
        @ ^ [SX0: a] : $true ) )
    = $false ),
    inference(extuni,[status(esa)],[1621:[bind(SV137,$thf( sK2_SY4 @ ^ [SX0: a] : $true )),bind(SV138,$thf( ^ [SX0: a] : ( ( sK2_SY4 @ ^ [SX1: a] : $false ) = SX0 ) ))]]) ).

thf(1679,plain,
    ! [SV137: a,SV219: a > a > $o] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ( ( sK2_SY4 @ ( SV219 @ SX0 ) )
                = ( sK2_SY4
                  @ ^ [SX1: a] : $true ) ) )
          @ SV137 )
        = $false )
      | ( ( ( sK2_SY4 @ ( SV219 @ SV137 ) )
          = ( sK2_SY4
            @ ^ [SX0: a] : $false ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1621:[bind(SV138,$thf( ^ [SX0: a] : ( ( sK2_SY4 @ ( SV219 @ SX0 ) ) = ( sK2_SY4 @ ^ [SX1: a] : $true ) ) ))]]) ).

thf(1680,plain,
    ! [SV137: a,SV240: a > a > $o,SV219: a > a > $o] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ( ( sK2_SY4 @ ( SV219 @ SX0 ) )
                = ( sK2_SY4 @ ( SV240 @ SX0 ) ) ) )
          @ SV137 )
        = $false )
      | ( ( ( sK2_SY4 @ ( SV240 @ SV137 ) )
          = ( sK2_SY4
            @ ^ [SX0: a] : $true ) )
        = $false )
      | ( ( ( sK2_SY4 @ ( SV219 @ SV137 ) )
          = ( sK2_SY4
            @ ^ [SX0: a] : $false ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1621:[bind(SV138,$thf( ^ [SX0: a] : ( ( sK2_SY4 @ ( SV219 @ SX0 ) ) = ( sK2_SY4 @ ( SV240 @ SX0 ) ) ) ))]]) ).

thf(1681,plain,
    ! [SV219: a > a > $o] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ( ( sK2_SY4 @ ( SV219 @ SX0 ) )
                = SX0 ) )
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true ) )
        = $false )
      | ( ( ( sK2_SY4
            @ ( SV219
              @ ( sK2_SY4
                @ ^ [SX0: a] : $true ) ) )
          = ( sK2_SY4
            @ ^ [SX0: a] : $false ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1621:[bind(SV137,$thf( sK2_SY4 @ ^ [SX0: a] : $true )),bind(SV138,$thf( ^ [SX0: a] : ( ( sK2_SY4 @ ( SV219 @ SX0 ) ) = SX0 ) ))]]) ).

thf(1682,plain,
    ( ( sK1_Xg
      @ ( sK2_SY4
        @ ^ [SX0: a] :
            ( SX0
            = ( sK2_SY4
              @ ^ [SX1: a] : $true ) ) )
      @ ( sK2_SY4
        @ ^ [SX0: a] : $false ) )
    = $false ),
    inference(extuni,[status(esa)],[1621:[bind(SV137,$thf( sK2_SY4 @ ^ [SX0: a] : $false )),bind(SV138,$thf( ^ [SX0: a] : ( SX0 = ( sK2_SY4 @ ^ [SX1: a] : $true ) ) ))]]) ).

thf(1683,plain,
    ! [SV222: a > a > $o] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ( SX0
                = ( sK2_SY4 @ ( SV222 @ SX0 ) ) ) )
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false ) )
        = $false )
      | ( ( ( sK2_SY4
            @ ( SV222
              @ ( sK2_SY4
                @ ^ [SX0: a] : $false ) ) )
          = ( sK2_SY4
            @ ^ [SX0: a] : $true ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1621:[bind(SV137,$thf( sK2_SY4 @ ^ [SX0: a] : $false )),bind(SV138,$thf( ^ [SX0: a] : ( SX0 = ( sK2_SY4 @ ( SV222 @ SX0 ) ) ) ))]]) ).

thf(1686,plain,
    ( ( ( sK1_Xg
        @ ( sK2_SY4
          @ ^ [SX0: a] : ( SX0 = SX0 ) )
        @ ( sK2_SY4
          @ ^ [SX0: a] : $false ) )
      = $false )
    | ( ( ( sK2_SY4
          @ ^ [SX0: a] : $false )
        = ( sK2_SY4
          @ ^ [SX0: a] : $true ) )
      = $false ) ),
    inference(extuni,[status(esa)],[1621:[bind(SV137,$thf( sK2_SY4 @ ^ [SX0: a] : $false )),bind(SV138,$thf( ^ [SX0: a] : ( SX0 = SX0 ) ))]]) ).

thf(1687,plain,
    ! [SV137: a,SV188: a > a,SV187: a > a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ( ( SV187 @ SX0 )
                = ( SV188 @ SX0 ) ) )
          @ SV137 )
        = $false )
      | ( ( ( SV187 @ SV137 )
          = ( SV188 @ SV137 ) )
        = $true )
      | ( ( ( sK2_SY4
            @ ^ [SX0: a] : $false )
          = ( sK2_SY4
            @ ^ [SX0: a] : $true ) )
        = $true ) ),
    inference(extuni,[status(esa)],[1621:[bind(SV138,$thf( ^ [SX0: a] : ( ( SV187 @ SX0 ) = ( SV188 @ SX0 ) ) ))]]) ).

thf(1688,plain,
    ! [SV137: a,SV188: a > a,SV187: a > a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ( ( SV187 @ SX0 )
                = ( SV188 @ SX0 ) ) )
          @ SV137 )
        = $false )
      | ( ( ( SV187 @ SV137 )
          = ( SV188 @ SV137 ) )
        = $false )
      | ( ( ( sK2_SY4
            @ ^ [SX0: a] : $false )
          = ( sK2_SY4
            @ ^ [SX0: a] : $true ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1621:[bind(SV138,$thf( ^ [SX0: a] : ( ( SV187 @ SX0 ) = ( SV188 @ SX0 ) ) ))]]) ).

thf(1689,plain,
    ! [SV260: a > a > a,SV259: a > a > a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ( sK1_Xg @ SX0
                @ ( sK2_SY4
                  @ ^ [SX1: a] : ( sK1_Xg @ ( SV259 @ SX0 @ SX1 ) @ ( SV260 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ( sK1_Xg
                @ ( SV259
                  @ ( sK2_SY4
                    @ ^ [SX1: a] :
                        ( sK1_Xg @ SX1
                        @ ( sK2_SY4
                          @ ^ [SX2: a] : ( sK1_Xg @ ( SV259 @ SX1 @ SX2 ) @ ( SV260 @ SX1 @ SX2 ) ) ) ) )
                  @ SX0 )
                @ ( SV260
                  @ ( sK2_SY4
                    @ ^ [SX1: a] :
                        ( sK1_Xg @ SX1
                        @ ( sK2_SY4
                          @ ^ [SX2: a] : ( sK1_Xg @ ( SV259 @ SX1 @ SX2 ) @ ( SV260 @ SX1 @ SX2 ) ) ) ) )
                  @ SX0 ) ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ( sK1_Xg @ SX0
                @ ( sK2_SY4
                  @ ^ [SX1: a] : ( sK1_Xg @ ( SV259 @ SX0 @ SX1 ) @ ( SV260 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ( sK1_Xg @ SX0
                @ ( sK2_SY4
                  @ ^ [SX1: a] : ( sK1_Xg @ ( SV259 @ SX0 @ SX1 ) @ ( SV260 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( SV259
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ( sK1_Xg @ SX0
                  @ ( sK2_SY4
                    @ ^ [SX1: a] : ( sK1_Xg @ ( SV259 @ SX0 @ SX1 ) @ ( SV260 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK90_E
              @ ^ [SX0: a,SX1: a] : ( sK1_Xg @ ( SV259 @ SX0 @ SX1 ) @ ( SV260 @ SX0 @ SX1 ) ) ) )
          @ ( SV260
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ( sK1_Xg @ SX0
                  @ ( sK2_SY4
                    @ ^ [SX1: a] : ( sK1_Xg @ ( SV259 @ SX0 @ SX1 ) @ ( SV260 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK90_E
              @ ^ [SX0: a,SX1: a] : ( sK1_Xg @ ( SV259 @ SX0 @ SX1 ) @ ( SV260 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK90_E
            @ ^ [SX0: a,SX1: a] : ( sK1_Xg @ ( SV259 @ SX0 @ SX1 ) @ ( SV260 @ SX0 @ SX1 ) ) )
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ( sK1_Xg
                @ ( SV259
                  @ ( sK90_E
                    @ ^ [SX1: a,SX2: a] : ( sK1_Xg @ ( SV259 @ SX1 @ SX2 ) @ ( SV260 @ SX1 @ SX2 ) ) )
                  @ SX0 )
                @ ( SV260
                  @ ( sK90_E
                    @ ^ [SX1: a,SX2: a] : ( sK1_Xg @ ( SV259 @ SX1 @ SX2 ) @ ( SV260 @ SX1 @ SX2 ) ) )
                  @ SX0 ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[1619:[bind(SV137,$thf( sK2_SY4 @ ^ [SX0: a] : ( sK1_Xg @ SX0 @ ( sK2_SY4 @ ^ [SX1: a] : ( sK1_Xg @ ( SV259 @ SX0 @ SX1 ) @ ( SV260 @ SX0 @ SX1 ) ) ) ) )),bind(SV138,$thf( ^ [SX0: a] : ( sK1_Xg @ SX0 @ ( sK2_SY4 @ ^ [SX1: a] : ( sK1_Xg @ ( SV259 @ SX0 @ SX1 ) @ ( SV260 @ SX0 @ SX1 ) ) ) ) ))]]) ).

thf(1690,plain,
    ! [SV260: a > a > a,SV259: a > a > a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ( sK1_Xg @ SX0
                @ ( sK2_SY4
                  @ ^ [SX1: a] : ( sK1_Xg @ ( SV259 @ SX0 @ SX1 ) @ ( SV260 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ( sK1_Xg
                @ ( SV259
                  @ ( sK2_SY4
                    @ ^ [SX1: a] :
                        ( sK1_Xg @ SX1
                        @ ( sK2_SY4
                          @ ^ [SX2: a] : ( sK1_Xg @ ( SV259 @ SX1 @ SX2 ) @ ( SV260 @ SX1 @ SX2 ) ) ) ) )
                  @ SX0 )
                @ ( SV260
                  @ ( sK2_SY4
                    @ ^ [SX1: a] :
                        ( sK1_Xg @ SX1
                        @ ( sK2_SY4
                          @ ^ [SX2: a] : ( sK1_Xg @ ( SV259 @ SX1 @ SX2 ) @ ( SV260 @ SX1 @ SX2 ) ) ) ) )
                  @ SX0 ) ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ( sK1_Xg @ SX0
                @ ( sK2_SY4
                  @ ^ [SX1: a] : ( sK1_Xg @ ( SV259 @ SX0 @ SX1 ) @ ( SV260 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ( sK1_Xg @ SX0
                @ ( sK2_SY4
                  @ ^ [SX1: a] : ( sK1_Xg @ ( SV259 @ SX0 @ SX1 ) @ ( SV260 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( SV259
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ( sK1_Xg @ SX0
                  @ ( sK2_SY4
                    @ ^ [SX1: a] : ( sK1_Xg @ ( SV259 @ SX0 @ SX1 ) @ ( SV260 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK90_E
              @ ^ [SX0: a,SX1: a] : ( sK1_Xg @ ( SV259 @ SX0 @ SX1 ) @ ( SV260 @ SX0 @ SX1 ) ) ) )
          @ ( SV260
            @ ( sK2_SY4
              @ ^ [SX0: a] :
                  ( sK1_Xg @ SX0
                  @ ( sK2_SY4
                    @ ^ [SX1: a] : ( sK1_Xg @ ( SV259 @ SX0 @ SX1 ) @ ( SV260 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK90_E
              @ ^ [SX0: a,SX1: a] : ( sK1_Xg @ ( SV259 @ SX0 @ SX1 ) @ ( SV260 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK90_E
            @ ^ [SX0: a,SX1: a] : ( sK1_Xg @ ( SV259 @ SX0 @ SX1 ) @ ( SV260 @ SX0 @ SX1 ) ) )
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ( sK1_Xg
                @ ( SV259
                  @ ( sK90_E
                    @ ^ [SX1: a,SX2: a] : ( sK1_Xg @ ( SV259 @ SX1 @ SX2 ) @ ( SV260 @ SX1 @ SX2 ) ) )
                  @ SX0 )
                @ ( SV260
                  @ ( sK90_E
                    @ ^ [SX1: a,SX2: a] : ( sK1_Xg @ ( SV259 @ SX1 @ SX2 ) @ ( SV260 @ SX1 @ SX2 ) ) )
                  @ SX0 ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1619:[bind(SV137,$thf( sK2_SY4 @ ^ [SX0: a] : ( sK1_Xg @ SX0 @ ( sK2_SY4 @ ^ [SX1: a] : ( sK1_Xg @ ( SV259 @ SX0 @ SX1 ) @ ( SV260 @ SX0 @ SX1 ) ) ) ) )),bind(SV138,$thf( ^ [SX0: a] : ( sK1_Xg @ SX0 @ ( sK2_SY4 @ ^ [SX1: a] : ( sK1_Xg @ ( SV259 @ SX0 @ SX1 ) @ ( SV260 @ SX0 @ SX1 ) ) ) ) ))]]) ).

thf(1691,plain,
    ! [SV254: a > a > $o] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : ( sK1_Xg @ SX0 @ ( sK2_SY4 @ ( SV254 @ SX0 ) ) ) )
          @ ( sK2_SY4
            @ ( SV254
              @ ( sK2_SY4
                @ ^ [SX0: a] : ( sK1_Xg @ SX0 @ ( sK2_SY4 @ ( SV254 @ SX0 ) ) ) ) ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : ( sK1_Xg @ SX0 @ ( sK2_SY4 @ ( SV254 @ SX0 ) ) ) )
          @ ( sK2_SY4
            @ ^ [SX0: a] : ( sK1_Xg @ SX0 @ ( sK2_SY4 @ ( SV254 @ SX0 ) ) ) ) )
        = $false )
      | ( ( ( sK2_SY4
            @ ( SV254
              @ ( sK2_SY4
                @ ^ [SX0: a] : ( sK1_Xg @ SX0 @ ( sK2_SY4 @ ( SV254 @ SX0 ) ) ) ) ) )
          = ( sK2_SY4
            @ ^ [SX0: a] : ( sK1_Xg @ SX0 @ ( sK2_SY4 @ ( SV254 @ SX0 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1619:[bind(SV137,$thf( sK2_SY4 @ ^ [SX0: a] : ( sK1_Xg @ SX0 @ ( sK2_SY4 @ ( SV254 @ SX0 ) ) ) )),bind(SV138,$thf( ^ [SX0: a] : ( sK1_Xg @ SX0 @ ( sK2_SY4 @ ( SV254 @ SX0 ) ) ) ))]]) ).

thf(1695,plain,
    ! [SV334: a > a > $o] :
      ( ( ( ~ ( SV334
              @ ( sK2_SY4
                @ ^ [SX0: a] :
                    ~ ( sK1_Xg @ SX0
                      @ ( sK2_SY4
                        @ ^ [SX1: a] :
                            ~ ( SV334 @ SX0 @ SX1 ) ) ) )
              @ ( sK95_E
                @ ^ [SX0: a,SX1: a] :
                    ~ ( SV334 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ~ ( sK1_Xg
              @ ( sK95_E
                @ ^ [SX0: a,SX1: a] :
                    ~ ( SV334 @ SX0 @ SX1 ) )
              @ ( sK2_SY4
                @ ^ [SX0: a] :
                    ~ ( SV334
                      @ ( sK95_E
                        @ ^ [SX1: a,SX2: a] :
                            ~ ( SV334 @ SX1 @ SX2 ) )
                      @ SX0 ) ) ) )
        = $true )
      | ( ( ~ ( sK1_Xg
              @ ( sK2_SY4
                @ ^ [SX0: a] :
                    ~ ( sK1_Xg @ SX0
                      @ ( sK2_SY4
                        @ ^ [SX1: a] :
                            ~ ( SV334 @ SX0 @ SX1 ) ) ) )
              @ ( sK2_SY4
                @ ^ [SX0: a] :
                    ~ ( SV334
                      @ ( sK2_SY4
                        @ ^ [SX1: a] :
                            ~ ( sK1_Xg @ SX1
                              @ ( sK2_SY4
                                @ ^ [SX2: a] :
                                    ~ ( SV334 @ SX1 @ SX2 ) ) ) )
                      @ SX0 ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[1657:[bind(SV137,$thf( sK2_SY4 @ ^ [SX0: a] : ~ ( sK1_Xg @ SX0 @ ( sK2_SY4 @ ^ [SX1: a] : ~ ( SV334 @ SX0 @ SX1 ) ) ) )),bind(SV138,$thf( ^ [SX0: a] : ~ ( sK1_Xg @ SX0 @ ( sK2_SY4 @ ^ [SX1: a] : ~ ( SV334 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(1696,plain,
    ! [SV334: a > a > $o] :
      ( ( ( ~ ( SV334
              @ ( sK2_SY4
                @ ^ [SX0: a] :
                    ~ ( sK1_Xg @ SX0
                      @ ( sK2_SY4
                        @ ^ [SX1: a] :
                            ~ ( SV334 @ SX0 @ SX1 ) ) ) )
              @ ( sK95_E
                @ ^ [SX0: a,SX1: a] :
                    ~ ( SV334 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ~ ( sK1_Xg
              @ ( sK95_E
                @ ^ [SX0: a,SX1: a] :
                    ~ ( SV334 @ SX0 @ SX1 ) )
              @ ( sK2_SY4
                @ ^ [SX0: a] :
                    ~ ( SV334
                      @ ( sK95_E
                        @ ^ [SX1: a,SX2: a] :
                            ~ ( SV334 @ SX1 @ SX2 ) )
                      @ SX0 ) ) ) )
        = $false )
      | ( ( ~ ( sK1_Xg
              @ ( sK2_SY4
                @ ^ [SX0: a] :
                    ~ ( sK1_Xg @ SX0
                      @ ( sK2_SY4
                        @ ^ [SX1: a] :
                            ~ ( SV334 @ SX0 @ SX1 ) ) ) )
              @ ( sK2_SY4
                @ ^ [SX0: a] :
                    ~ ( SV334
                      @ ( sK2_SY4
                        @ ^ [SX1: a] :
                            ~ ( sK1_Xg @ SX1
                              @ ( sK2_SY4
                                @ ^ [SX2: a] :
                                    ~ ( SV334 @ SX1 @ SX2 ) ) ) )
                      @ SX0 ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[1657:[bind(SV137,$thf( sK2_SY4 @ ^ [SX0: a] : ~ ( sK1_Xg @ SX0 @ ( sK2_SY4 @ ^ [SX1: a] : ~ ( SV334 @ SX0 @ SX1 ) ) ) )),bind(SV138,$thf( ^ [SX0: a] : ~ ( sK1_Xg @ SX0 @ ( sK2_SY4 @ ^ [SX1: a] : ~ ( SV334 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(1697,plain,
    ! [SV329: a > a > $o] :
      ( ( ( ( sK2_SY4
            @ ( SV329
              @ ( sK2_SY4
                @ ^ [SX0: a] :
                    ~ ( sK1_Xg @ SX0 @ ( sK2_SY4 @ ( SV329 @ SX0 ) ) ) ) ) )
          = ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( sK1_Xg @ SX0 @ ( sK2_SY4 @ ( SV329 @ SX0 ) ) ) ) )
        = $false )
      | ( ( ~ ( sK1_Xg
              @ ( sK2_SY4
                @ ^ [SX0: a] :
                    ~ ( sK1_Xg @ SX0 @ ( sK2_SY4 @ ( SV329 @ SX0 ) ) ) )
              @ ( sK2_SY4
                @ ( SV329
                  @ ( sK2_SY4
                    @ ^ [SX0: a] :
                        ~ ( sK1_Xg @ SX0 @ ( sK2_SY4 @ ( SV329 @ SX0 ) ) ) ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[1657:[bind(SV137,$thf( sK2_SY4 @ ^ [SX0: a] : ~ ( sK1_Xg @ SX0 @ ( sK2_SY4 @ ( SV329 @ SX0 ) ) ) )),bind(SV138,$thf( ^ [SX0: a] : ~ ( sK1_Xg @ SX0 @ ( sK2_SY4 @ ( SV329 @ SX0 ) ) ) ))]]) ).

thf(1698,plain,
    ( ( ~ ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( sK1_Xg @ SX0 @ SX0 ) )
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( sK1_Xg @ SX0 @ SX0 ) ) ) )
    = $true ),
    inference(extuni,[status(esa)],[1657:[bind(SV137,$thf( sK2_SY4 @ ^ [SX0: a] : ~ ( sK1_Xg @ SX0 @ SX0 ) )),bind(SV138,$thf( ^ [SX0: a] : ~ ( sK1_Xg @ SX0 @ SX0 ) ))]]) ).

thf(1700,plain,
    ! [SV323: a > a,SV137: a,SV322: a > a] :
      ( ( ( sK1_Xg @ ( SV322 @ SV137 ) @ ( SV323 @ SV137 ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( sK1_Xg @ ( SV322 @ SX0 ) @ ( SV323 @ SX0 ) ) )
          @ SV137 )
        = $false )
      | ( ( ~ ( sK1_Xg @ ( SV322 @ SV137 ) @ ( SV323 @ SV137 ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[1657:[bind(SV138,$thf( ^ [SX0: a] : ~ ( sK1_Xg @ ( SV322 @ SX0 ) @ ( SV323 @ SX0 ) ) ))]]) ).

thf(1701,plain,
    ! [SV137: a,SV319: a > $o] :
      ( ( ( ~ ( SV319 @ SV137 ) )
        = $true )
      | ( ( ~ ( sK1_Xg
              @ ( sK2_SY4
                @ ^ [SX0: a] :
                    ~ ( SV319 @ SX0 ) )
              @ SV137 ) )
        = $true )
      | ( ( ~ ( SV319 @ SV137 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[1657:[bind(SV138,$thf( ^ [SX0: a] : ~ ( SV319 @ SX0 ) ))]]) ).

thf(1703,plain,
    ! [SV137: a,SV171: a > $o] :
      ( ( ( SV171 @ SV137 )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV171 @ SX0 ) )
          @ SV137 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1630]) ).

thf(1704,plain,
    ! [SV145: a > $o,SV137: a,SV144: a > $o] :
      ( ( ( SV144 @ SV137 )
        = $true )
      | ( ( SV145 @ SV137 )
        = $true )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ( ( SV144 @ SX0 )
                | ( SV145 @ SX0 ) ) )
          @ SV137 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1655]) ).

thf(1706,plain,
    ! [SV137: a,SV319: a > $o] :
      ( ( ( SV319 @ SV137 )
        = $false )
      | ( ( ~ ( sK1_Xg
              @ ( sK2_SY4
                @ ^ [SX0: a] :
                    ~ ( SV319 @ SX0 ) )
              @ SV137 ) )
        = $true )
      | ( ( ~ ( SV319 @ SV137 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1701]) ).

thf(1707,plain,
    ! [SV323: a > a,SV137: a,SV322: a > a] :
      ( ( ( sK1_Xg @ ( SV322 @ SV137 ) @ ( SV323 @ SV137 ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( sK1_Xg @ ( SV322 @ SX0 ) @ ( SV323 @ SX0 ) ) )
          @ SV137 )
        = $false )
      | ( ( sK1_Xg @ ( SV322 @ SV137 ) @ ( SV323 @ SV137 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1700]) ).

thf(1709,plain,
    ( ( sK1_Xg
      @ ( sK2_SY4
        @ ^ [SX0: a] :
            ~ ( sK1_Xg @ SX0 @ SX0 ) )
      @ ( sK2_SY4
        @ ^ [SX0: a] :
            ~ ( sK1_Xg @ SX0 @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[1698]) ).

thf(1710,plain,
    ! [SV329: a > a > $o] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( sK1_Xg @ SX0 @ ( sK2_SY4 @ ( SV329 @ SX0 ) ) ) )
          @ ( sK2_SY4
            @ ( SV329
              @ ( sK2_SY4
                @ ^ [SX0: a] :
                    ~ ( sK1_Xg @ SX0 @ ( sK2_SY4 @ ( SV329 @ SX0 ) ) ) ) ) ) )
        = $false )
      | ( ( ( sK2_SY4
            @ ( SV329
              @ ( sK2_SY4
                @ ^ [SX0: a] :
                    ~ ( sK1_Xg @ SX0 @ ( sK2_SY4 @ ( SV329 @ SX0 ) ) ) ) ) )
          = ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( sK1_Xg @ SX0 @ ( sK2_SY4 @ ( SV329 @ SX0 ) ) ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1697]) ).

thf(1711,plain,
    ! [SV334: a > a > $o] :
      ( ( ( SV334
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( sK1_Xg @ SX0
                  @ ( sK2_SY4
                    @ ^ [SX1: a] :
                        ~ ( SV334 @ SX0 @ SX1 ) ) ) )
          @ ( sK95_E
            @ ^ [SX0: a,SX1: a] :
                ~ ( SV334 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( ~ ( sK1_Xg
              @ ( sK95_E
                @ ^ [SX0: a,SX1: a] :
                    ~ ( SV334 @ SX0 @ SX1 ) )
              @ ( sK2_SY4
                @ ^ [SX0: a] :
                    ~ ( SV334
                      @ ( sK95_E
                        @ ^ [SX1: a,SX2: a] :
                            ~ ( SV334 @ SX1 @ SX2 ) )
                      @ SX0 ) ) ) )
        = $false )
      | ( ( ~ ( sK1_Xg
              @ ( sK2_SY4
                @ ^ [SX0: a] :
                    ~ ( sK1_Xg @ SX0
                      @ ( sK2_SY4
                        @ ^ [SX1: a] :
                            ~ ( SV334 @ SX0 @ SX1 ) ) ) )
              @ ( sK2_SY4
                @ ^ [SX0: a] :
                    ~ ( SV334
                      @ ( sK2_SY4
                        @ ^ [SX1: a] :
                            ~ ( sK1_Xg @ SX1
                              @ ( sK2_SY4
                                @ ^ [SX2: a] :
                                    ~ ( SV334 @ SX1 @ SX2 ) ) ) )
                      @ SX0 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1696]) ).

thf(1712,plain,
    ! [SV334: a > a > $o] :
      ( ( ( SV334
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( sK1_Xg @ SX0
                  @ ( sK2_SY4
                    @ ^ [SX1: a] :
                        ~ ( SV334 @ SX0 @ SX1 ) ) ) )
          @ ( sK95_E
            @ ^ [SX0: a,SX1: a] :
                ~ ( SV334 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( ~ ( sK1_Xg
              @ ( sK95_E
                @ ^ [SX0: a,SX1: a] :
                    ~ ( SV334 @ SX0 @ SX1 ) )
              @ ( sK2_SY4
                @ ^ [SX0: a] :
                    ~ ( SV334
                      @ ( sK95_E
                        @ ^ [SX1: a,SX2: a] :
                            ~ ( SV334 @ SX1 @ SX2 ) )
                      @ SX0 ) ) ) )
        = $true )
      | ( ( ~ ( sK1_Xg
              @ ( sK2_SY4
                @ ^ [SX0: a] :
                    ~ ( sK1_Xg @ SX0
                      @ ( sK2_SY4
                        @ ^ [SX1: a] :
                            ~ ( SV334 @ SX0 @ SX1 ) ) ) )
              @ ( sK2_SY4
                @ ^ [SX0: a] :
                    ~ ( SV334
                      @ ( sK2_SY4
                        @ ^ [SX1: a] :
                            ~ ( sK1_Xg @ SX1
                              @ ( sK2_SY4
                                @ ^ [SX2: a] :
                                    ~ ( SV334 @ SX1 @ SX2 ) ) ) )
                      @ SX0 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1695]) ).

thf(1714,plain,
    ! [SV137: a,SV319: a > $o] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV319 @ SX0 ) )
          @ SV137 )
        = $false )
      | ( ( SV319 @ SV137 )
        = $false )
      | ( ( ~ ( SV319 @ SV137 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1706]) ).

thf(1715,plain,
    ! [SV334: a > a > $o] :
      ( ( ( sK1_Xg
          @ ( sK95_E
            @ ^ [SX0: a,SX1: a] :
                ~ ( SV334 @ SX0 @ SX1 ) )
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV334
                  @ ( sK95_E
                    @ ^ [SX1: a,SX2: a] :
                        ~ ( SV334 @ SX1 @ SX2 ) )
                  @ SX0 ) ) )
        = $true )
      | ( ( SV334
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( sK1_Xg @ SX0
                  @ ( sK2_SY4
                    @ ^ [SX1: a] :
                        ~ ( SV334 @ SX0 @ SX1 ) ) ) )
          @ ( sK95_E
            @ ^ [SX0: a,SX1: a] :
                ~ ( SV334 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( ~ ( sK1_Xg
              @ ( sK2_SY4
                @ ^ [SX0: a] :
                    ~ ( sK1_Xg @ SX0
                      @ ( sK2_SY4
                        @ ^ [SX1: a] :
                            ~ ( SV334 @ SX0 @ SX1 ) ) ) )
              @ ( sK2_SY4
                @ ^ [SX0: a] :
                    ~ ( SV334
                      @ ( sK2_SY4
                        @ ^ [SX1: a] :
                            ~ ( sK1_Xg @ SX1
                              @ ( sK2_SY4
                                @ ^ [SX2: a] :
                                    ~ ( SV334 @ SX1 @ SX2 ) ) ) )
                      @ SX0 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1711]) ).

thf(1716,plain,
    ! [SV334: a > a > $o] :
      ( ( ( sK1_Xg
          @ ( sK95_E
            @ ^ [SX0: a,SX1: a] :
                ~ ( SV334 @ SX0 @ SX1 ) )
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV334
                  @ ( sK95_E
                    @ ^ [SX1: a,SX2: a] :
                        ~ ( SV334 @ SX1 @ SX2 ) )
                  @ SX0 ) ) )
        = $false )
      | ( ( SV334
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( sK1_Xg @ SX0
                  @ ( sK2_SY4
                    @ ^ [SX1: a] :
                        ~ ( SV334 @ SX0 @ SX1 ) ) ) )
          @ ( sK95_E
            @ ^ [SX0: a,SX1: a] :
                ~ ( SV334 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( ~ ( sK1_Xg
              @ ( sK2_SY4
                @ ^ [SX0: a] :
                    ~ ( sK1_Xg @ SX0
                      @ ( sK2_SY4
                        @ ^ [SX1: a] :
                            ~ ( SV334 @ SX0 @ SX1 ) ) ) )
              @ ( sK2_SY4
                @ ^ [SX0: a] :
                    ~ ( SV334
                      @ ( sK2_SY4
                        @ ^ [SX1: a] :
                            ~ ( sK1_Xg @ SX1
                              @ ( sK2_SY4
                                @ ^ [SX2: a] :
                                    ~ ( SV334 @ SX1 @ SX2 ) ) ) )
                      @ SX0 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1712]) ).

thf(1718,plain,
    ! [SV137: a,SV319: a > $o] :
      ( ( ( SV319 @ SV137 )
        = $false )
      | ( ( SV319 @ SV137 )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV319 @ SX0 ) )
          @ SV137 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1714]) ).

thf(1719,plain,
    ! [SV334: a > a > $o] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( sK1_Xg @ SX0
                  @ ( sK2_SY4
                    @ ^ [SX1: a] :
                        ~ ( SV334 @ SX0 @ SX1 ) ) ) )
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV334
                  @ ( sK2_SY4
                    @ ^ [SX1: a] :
                        ~ ( sK1_Xg @ SX1
                          @ ( sK2_SY4
                            @ ^ [SX2: a] :
                                ~ ( SV334 @ SX1 @ SX2 ) ) ) )
                  @ SX0 ) ) )
        = $false )
      | ( ( SV334
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( sK1_Xg @ SX0
                  @ ( sK2_SY4
                    @ ^ [SX1: a] :
                        ~ ( SV334 @ SX0 @ SX1 ) ) ) )
          @ ( sK95_E
            @ ^ [SX0: a,SX1: a] :
                ~ ( SV334 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( sK1_Xg
          @ ( sK95_E
            @ ^ [SX0: a,SX1: a] :
                ~ ( SV334 @ SX0 @ SX1 ) )
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV334
                  @ ( sK95_E
                    @ ^ [SX1: a,SX2: a] :
                        ~ ( SV334 @ SX1 @ SX2 ) )
                  @ SX0 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1715]) ).

thf(1720,plain,
    ! [SV334: a > a > $o] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( sK1_Xg @ SX0
                  @ ( sK2_SY4
                    @ ^ [SX1: a] :
                        ~ ( SV334 @ SX0 @ SX1 ) ) ) )
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV334
                  @ ( sK2_SY4
                    @ ^ [SX1: a] :
                        ~ ( sK1_Xg @ SX1
                          @ ( sK2_SY4
                            @ ^ [SX2: a] :
                                ~ ( SV334 @ SX1 @ SX2 ) ) ) )
                  @ SX0 ) ) )
        = $false )
      | ( ( SV334
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( sK1_Xg @ SX0
                  @ ( sK2_SY4
                    @ ^ [SX1: a] :
                        ~ ( SV334 @ SX0 @ SX1 ) ) ) )
          @ ( sK95_E
            @ ^ [SX0: a,SX1: a] :
                ~ ( SV334 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK95_E
            @ ^ [SX0: a,SX1: a] :
                ~ ( SV334 @ SX0 @ SX1 ) )
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV334
                  @ ( sK95_E
                    @ ^ [SX1: a,SX2: a] :
                        ~ ( SV334 @ SX1 @ SX2 ) )
                  @ SX0 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1716]) ).

thf(1721,plain,
    ! [SV137: a,SV319: a > $o] :
      ( ( ( SV319 @ SV137 )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( SV319 @ SX0 ) )
          @ SV137 )
        = $false ) ),
    inference(sim,[status(thm)],[1718]) ).

thf(1722,plain,
    ! [SV323: a > a,SV137: a,SV322: a > a] :
      ( ( ( sK1_Xg @ ( SV322 @ SV137 ) @ ( SV323 @ SV137 ) )
        = $false )
      | ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ~ ( sK1_Xg @ ( SV322 @ SX0 ) @ ( SV323 @ SX0 ) ) )
          @ SV137 )
        = $false ) ),
    inference(sim,[status(thm)],[1707]) ).

thf(1724,plain,
    ! [SV358: a,SV359: a > a] :
      ( ( sK1_Xg
        @ ( sK2_SY4
          @ ^ [SX0: a] :
              ( sK1_Xg
              @ ( sK2_SY4
                @ ^ [SX1: a] : $false )
              @ ( SV359 @ SX0 ) ) )
        @ SV358 )
      = $false ),
    inference(rename,[status(thm)],[1660]) ).

thf(1726,plain,
    ! [SV358: a,SV359: a > a,SV104: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] :
                ( sK1_Xg
                @ ( sK2_SY4
                  @ ^ [SX1: a] : $false )
                @ ( SV359 @ SX0 ) ) )
          @ SV358 )
        = ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV104 ) )
      = $false ),
    inference(res,[status(thm)],[1724,1579]) ).

thf(1731,plain,
    ! [SV104: a,SV359: a > a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ ( SV359 @ ( sK101_E @ SV104 @ SV104 @ SV359 ) ) )
        = $false )
      | ( $true = $false ) ),
    inference(extuni,[status(esa)],[1726:[bind(SV358,$thf( SV104 ))]]) ).

thf(1732,plain,
    ! [SV359: a > a] :
      ( ( ( sK2_SY4
          @ ^ [SX0: a] :
              ( sK1_Xg
              @ ( sK2_SY4
                @ ^ [SX1: a] : $false )
              @ ( SV359 @ SX0 ) ) )
        = ( sK2_SY4
          @ ^ [SX0: a] : $true ) )
      = $false ),
    inference(extuni,[status(esa)],[1726:[bind(SV358,$thf( SV104 ))]]) ).

thf(1733,plain,
    ! [SV104: a,SV359: a > a] :
      ( ( sK1_Xg
        @ ( sK2_SY4
          @ ^ [SX0: a] : $false )
        @ ( SV359 @ ( sK101_E @ SV104 @ SV104 @ SV359 ) ) )
      = $false ),
    inference(sim,[status(thm)],[1731]) ).

thf(1734,plain,
    ! [SV360: a > a] :
      ( ( sK1_Xg
        @ ( sK2_SY4
          @ ^ [SX0: a] : ( sK1_Xg @ SX0 @ ( SV360 @ SX0 ) ) )
        @ ( sK2_SY4
          @ ^ [SX0: a] : $false ) )
      = $false ),
    inference(rename,[status(thm)],[1662]) ).

thf(1736,plain,
    ! [SV360: a > a,SV104: a] :
      ( ( ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : ( sK1_Xg @ SX0 @ ( SV360 @ SX0 ) ) )
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false ) )
        = ( sK1_Xg
          @ ( sK2_SY4
            @ ^ [SX0: a] : $true )
          @ SV104 ) )
      = $false ),
    inference(res,[status(thm)],[1734,1579]) ).

thf(1741,plain,
    ! [SV360: a > a] :
      ( ( ( sK1_Xg
          @ ( sK104_E
            @ ( sK2_SY4
              @ ^ [SX0: a] : $false )
            @ SV360 )
          @ ( SV360
            @ ( sK104_E
              @ ( sK2_SY4
                @ ^ [SX0: a] : $false )
              @ SV360 ) ) )
        = $false )
      | ( $true = $false ) ),
    inference(extuni,[status(esa)],[1736:[bind(SV104,$thf( sK2_SY4 @ ^ [SX0: a] : $false ))]]) ).

thf(1742,plain,
    ! [SV360: a > a] :
      ( ( ( sK2_SY4
          @ ^ [SX0: a] : ( sK1_Xg @ SX0 @ ( SV360 @ SX0 ) ) )
        = ( sK2_SY4
          @ ^ [SX0: a] : $true ) )
      = $false ),
    inference(extuni,[status(esa)],[1736:[bind(SV104,$thf( sK2_SY4 @ ^ [SX0: a] : $false ))]]) ).

thf(1743,plain,
    ! [SV360: a > a] :
      ( ( sK1_Xg
        @ ( sK104_E
          @ ( sK2_SY4
            @ ^ [SX0: a] : $false )
          @ SV360 )
        @ ( SV360
          @ ( sK104_E
            @ ( sK2_SY4
              @ ^ [SX0: a] : $false )
            @ SV360 ) ) )
      = $false ),
    inference(sim,[status(thm)],[1741]) ).

thf(1744,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[107,1743,1742,1734,1733,1732,1724,1722,1721,1720,1719,1710,1709,1704,1703,1691,1690,1689,1688,1687,1686,1683,1682,1681,1680,1679,1678,1677,1676,1675,1672,1671,1670,1669,1668,1667,1666,1665,1664,1663,1661,1659,1656,1654,1653,1652,1651,1650,1649,1648,1647,1646,1645,1644,1643,1642,1641,1640,1639,1638,1637,1636,1635,1634,1633,1632,1631,1618,1590,1583,1579,1577,1576,1562,1561,1560,1558,1557,1540,1537,1536,1533,1532,1511,1510,1501,1500,1478,1457,1455,1436,1371,1370,1369,1368,1367,1366,1365,1364,1363,1362,1361,1359,1357,1356,1355,1354,1353,1352,1351,1350,1349,1348,1347,1346,1345,1342,1341,1340,1339,1338,1337,1334,1333,1332,1331,1330,1329,1322,1321,1320,1319,1318,1317,1316,1315,1314,1313,1312,1311,1310,1300,1299,1294,1293,1282,1281,1280,1279,1270,1269,1268,1267,1224,1223,1222,1221,1220,1219,1190,1189,1183,1179,1173,1172,1170,1168,1163,1162,1160,1158,1075,1071,1040,1038,1020,1018,644,643,641,640,616,615,599,598,597,596,595,594,283,282,281,280,279,278,277,276,145,144,135,134,122,121,112,108]) ).

thf(1745,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[1744]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYO208^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.18  % Computer : n015.cluster.edu
% 0.07/0.18  % Model    : x86_64 x86_64
% 0.07/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18  % Memory   : 8046.5625MB
% 0.07/0.18  % OS       : Linux 6.8.0-71-generic
% 0.07/0.18  % CPULimit : 300
% 0.07/0.18  % WCLimit  : 300
% 0.07/0.18  % DateTime : Tue Oct  6 17:36:58 UTC 2026
% 0.07/0.18  % CPUTime  : 
% 0.07/0.18  Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.47/2.26  
% 11.47/2.26   No.of.Axioms: 0
% 11.47/2.26  
% 11.47/2.26   Length.of.Defs: 0
% 11.47/2.26  
% 11.47/2.26   Contains.Choice.Funs: false
% 11.47/2.26  ..........................
% 11.47/2.26  
% 11.47/2.26  ********************************
% 11.47/2.26  *   All subproblems solved!    *
% 11.47/2.26  ********************************
% 11.47/2.26  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:0,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:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:1744,loop_count:35,foatp_calls:9,translation:fof_full)
% 11.47/2.26  
% 11.47/2.26  %**** Beginning of derivation protocol ****
% 11.47/2.26  % SZS output start CNFRefutation
% See solution above
% 11.47/2.27  
% 11.47/2.27  %**** End of derivation protocol ****
% 11.47/2.27  %**** no. of clauses in derivation: 846 ****
% 11.47/2.27  %**** clause counter: 1744 ****
% 11.47/2.27  
% 11.47/2.27  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:0,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:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:1744,loop_count:35,foatp_calls:9,translation:fof_full)
%------------------------------------------------------------------------------