TSTP Solution File: SEV261^5 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : SEV261^5 : TPTP v6.4.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s

% Computer : n078.star.cs.uiowa.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory   : 32218.75MB
% OS       : Linux 3.10.0-327.36.3.el7.x86_64
% CPULimit : 300s
% DateTime : Wed Jan 18 14:55:40 EST 2017

% Result   : Theorem 0.06s
% Output   : CNFRefutation 0.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   39
%            Number of leaves      :   19
% Syntax   : Number of formulae    :  796 ( 183 unt;  18 typ;   0 def)
%            Number of atoms       : 7821 (2762 equ;   0 cnn)
%            Maximal formula atoms :   18 (   9 avg)
%            Number of connectives : 5561 (1987   ~;1953   |;  60   &;1536   @)
%                                         (   0 <=>;  25  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :  285 ( 285   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   20 (  17 usr;  10 con; 0-3 aty)
%            Number of variables   : 1451 ( 434   ^1010   !;   7   ?;1451   :)

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

thf(tp_sK10_SV7,type,
    sK10_SV7: a ).

thf(tp_sK11_SV8,type,
    sK11_SV8: a ).

thf(tp_sK12_SV12,type,
    sK12_SV12: a ).

thf(tp_sK13_SV13,type,
    sK13_SV13: a ).

thf(tp_sK14_SY75,type,
    sK14_SY75: a > a > $o ).

thf(tp_sK15_SY75,type,
    sK15_SY75: ( a > $o ) > a > a > $o ).

thf(tp_sK16_SV31,type,
    sK16_SV31: a ).

thf(tp_sK17_SV32,type,
    sK17_SV32: a ).

thf(tp_sK1_R,type,
    sK1_R: a > $o ).

thf(tp_sK2_R,type,
    sK2_R: a > $o ).

thf(tp_sK3_K,type,
    sK3_K: ( a > $o ) > $o ).

thf(tp_sK4_SY33,type,
    sK4_SY33: a > $o ).

thf(tp_sK5_Y,type,
    sK5_Y: a > $o ).

thf(tp_sK6_SY48,type,
    sK6_SY48: a > $o ).

thf(tp_sK7_SY57,type,
    sK7_SY57: a > $o ).

thf(tp_sK8_SV3,type,
    sK8_SV3: a ).

thf(tp_sK9_SV4,type,
    sK9_SV4: a ).

thf(1,conjecture,
    ( ! [R: a > $o] :
        ( ( R
          = ( ^ [Xx: a] : $false ) )
       => ( ( R
            = ( ^ [Xy: a] : $false ) )
          | ( R
            = ( ^ [Xy: a] : ~ $false ) ) ) )
    & ! [R: a > $o] :
        ( ( R
          = ( ^ [Xx: a] : ~ $false ) )
       => ( ( R
            = ( ^ [Xy: a] : $false ) )
          | ( R
            = ( ^ [Xy: a] : ~ $false ) ) ) )
    & ! [K: ( a > $o ) > $o,R: a > $o] :
        ( ( ! [Xx: a > $o] :
              ( ( K @ Xx )
             => ( ( Xx
                  = ( ^ [Xy: a] : $false ) )
                | ( Xx
                  = ( ^ [Xy: a] : ~ $false ) ) ) )
          & ( R
            = ( ^ [Xx: a] :
                ? [S: a > $o] :
                  ( ( K @ S )
                  & ( S @ Xx ) ) ) ) )
       => ( ( R
            = ( ^ [Xy: a] : $false ) )
          | ( R
            = ( ^ [Xy: a] : ~ $false ) ) ) )
    & ! [Y: a > $o,Z: a > $o,S: a > $o] :
        ( ( ( ( Y
              = ( ^ [Xy: a] : $false ) )
            | ( Y
              = ( ^ [Xy: a] : ~ $false ) ) )
          & ( ( Z
              = ( ^ [Xy: a] : $false ) )
            | ( Z
              = ( ^ [Xy: a] : ~ $false ) ) )
          & ( S
            = ( ^ [Xx: a] :
                  ( ( Y @ Xx )
                  & ( Z @ Xx ) ) ) ) )
       => ( ( S
            = ( ^ [Xy: a] : $false ) )
          | ( S
            = ( ^ [Xy: a] : ~ $false ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cINDISCRETE_TOPOLOGY_pme) ).

thf(2,negated_conjecture,
    ( ( ! [R: a > $o] :
          ( ( R
            = ( ^ [Xx: a] : $false ) )
         => ( ( R
              = ( ^ [Xy: a] : $false ) )
            | ( R
              = ( ^ [Xy: a] : ~ $false ) ) ) )
      & ! [R: a > $o] :
          ( ( R
            = ( ^ [Xx: a] : ~ $false ) )
         => ( ( R
              = ( ^ [Xy: a] : $false ) )
            | ( R
              = ( ^ [Xy: a] : ~ $false ) ) ) )
      & ! [K: ( a > $o ) > $o,R: a > $o] :
          ( ( ! [Xx: a > $o] :
                ( ( K @ Xx )
               => ( ( Xx
                    = ( ^ [Xy: a] : $false ) )
                  | ( Xx
                    = ( ^ [Xy: a] : ~ $false ) ) ) )
            & ( R
              = ( ^ [Xx: a] :
                  ? [S: a > $o] :
                    ( ( K @ S )
                    & ( S @ Xx ) ) ) ) )
         => ( ( R
              = ( ^ [Xy: a] : $false ) )
            | ( R
              = ( ^ [Xy: a] : ~ $false ) ) ) )
      & ! [Y: a > $o,Z: a > $o,S: a > $o] :
          ( ( ( ( Y
                = ( ^ [Xy: a] : $false ) )
              | ( Y
                = ( ^ [Xy: a] : ~ $false ) ) )
            & ( ( Z
                = ( ^ [Xy: a] : $false ) )
              | ( Z
                = ( ^ [Xy: a] : ~ $false ) ) )
            & ( S
              = ( ^ [Xx: a] :
                    ( ( Y @ Xx )
                    & ( Z @ Xx ) ) ) ) )
         => ( ( S
              = ( ^ [Xy: a] : $false ) )
            | ( S
              = ( ^ [Xy: a] : ~ $false ) ) ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ( ( ! [R: a > $o] :
          ( ( R
            = ( ^ [Xx: a] : $false ) )
         => ( ( R
              = ( ^ [Xy: a] : $false ) )
            | ( R
              = ( ^ [Xy: a] : ~ $false ) ) ) )
      & ! [R: a > $o] :
          ( ( R
            = ( ^ [Xx: a] : ~ $false ) )
         => ( ( R
              = ( ^ [Xy: a] : $false ) )
            | ( R
              = ( ^ [Xy: a] : ~ $false ) ) ) )
      & ! [K: ( a > $o ) > $o,R: a > $o] :
          ( ( ! [Xx: a > $o] :
                ( ( K @ Xx )
               => ( ( Xx
                    = ( ^ [Xy: a] : $false ) )
                  | ( Xx
                    = ( ^ [Xy: a] : ~ $false ) ) ) )
            & ( R
              = ( ^ [Xx: a] :
                  ? [S: a > $o] :
                    ( ( K @ S )
                    & ( S @ Xx ) ) ) ) )
         => ( ( R
              = ( ^ [Xy: a] : $false ) )
            | ( R
              = ( ^ [Xy: a] : ~ $false ) ) ) )
      & ! [Y: a > $o,Z: a > $o,S: a > $o] :
          ( ( ( ( Y
                = ( ^ [Xy: a] : $false ) )
              | ( Y
                = ( ^ [Xy: a] : ~ $false ) ) )
            & ( ( Z
                = ( ^ [Xy: a] : $false ) )
              | ( Z
                = ( ^ [Xy: a] : ~ $false ) ) )
            & ( S
              = ( ^ [Xx: a] :
                    ( ( Y @ Xx )
                    & ( Z @ Xx ) ) ) ) )
         => ( ( S
              = ( ^ [Xy: a] : $false ) )
            | ( S
              = ( ^ [Xy: a] : ~ $false ) ) ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(4,plain,
    ( ( ! [R: a > $o] :
          ( ( R
            = ( ^ [Xx: a] : $false ) )
         => ( ( R
              = ( ^ [Xy: a] : $false ) )
            | ( R
              = ( ^ [Xy: a] : ~ $false ) ) ) ) )
    = $false ),
    inference(split_conjecture,[split_conjecture(split,[])],[3]) ).

thf(5,plain,
    ( ( ! [R: a > $o] :
          ( ( R
            = ( ^ [Xx: a] : ~ $false ) )
         => ( ( R
              = ( ^ [Xy: a] : $false ) )
            | ( R
              = ( ^ [Xy: a] : ~ $false ) ) ) ) )
    = $false ),
    inference(split_conjecture,[split_conjecture(split,[])],[3]) ).

thf(6,plain,
    ( ( ! [K: ( a > $o ) > $o,R: a > $o] :
          ( ( ! [Xx: a > $o] :
                ( ( K @ Xx )
               => ( ( Xx
                    = ( ^ [Xy: a] : $false ) )
                  | ( Xx
                    = ( ^ [Xy: a] : ~ $false ) ) ) )
            & ( R
              = ( ^ [Xx: a] :
                  ? [S: a > $o] :
                    ( ( K @ S )
                    & ( S @ Xx ) ) ) ) )
         => ( ( R
              = ( ^ [Xy: a] : $false ) )
            | ( R
              = ( ^ [Xy: a] : ~ $false ) ) ) ) )
    = $false ),
    inference(split_conjecture,[split_conjecture(split,[])],[3]) ).

thf(7,plain,
    ( ( ! [Y: a > $o,Z: a > $o,S: a > $o] :
          ( ( ( ( Y
                = ( ^ [Xy: a] : $false ) )
              | ( Y
                = ( ^ [Xy: a] : ~ $false ) ) )
            & ( ( Z
                = ( ^ [Xy: a] : $false ) )
              | ( Z
                = ( ^ [Xy: a] : ~ $false ) ) )
            & ( S
              = ( ^ [Xx: a] :
                    ( ( Y @ Xx )
                    & ( Z @ Xx ) ) ) ) )
         => ( ( S
              = ( ^ [Xy: a] : $false ) )
            | ( S
              = ( ^ [Xy: a] : ~ $false ) ) ) ) )
    = $false ),
    inference(split_conjecture,[split_conjecture(split,[])],[3]) ).

thf(8,plain,
    ( ( ~ ! [R: a > $o] :
            ( ( R
              = ( ^ [Xx: a] : $false ) )
           => ( ( R
                = ( ^ [Xy: a] : $false ) )
              | ( R
                = ( ^ [Xy: a] : ~ $false ) ) ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[4]) ).

thf(9,plain,
    ( ( ~ ! [R: a > $o] :
            ( ( R
              = ( ^ [Xx: a] : ~ $false ) )
           => ( ( R
                = ( ^ [Xy: a] : $false ) )
              | ( R
                = ( ^ [Xy: a] : ~ $false ) ) ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[5]) ).

thf(10,plain,
    ( ( ~ ! [K: ( a > $o ) > $o,R: a > $o] :
            ( ( ! [Xx: a > $o] :
                  ( ( K @ Xx )
                 => ( ( Xx
                      = ( ^ [Xy: a] : $false ) )
                    | ( Xx
                      = ( ^ [Xy: a] : ~ $false ) ) ) )
              & ( R
                = ( ^ [Xx: a] :
                    ? [S: a > $o] :
                      ( ( K @ S )
                      & ( S @ Xx ) ) ) ) )
           => ( ( R
                = ( ^ [Xy: a] : $false ) )
              | ( R
                = ( ^ [Xy: a] : ~ $false ) ) ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[6]) ).

thf(11,plain,
    ( ( ~ ! [Y: a > $o,Z: a > $o,S: a > $o] :
            ( ( ( ( Y
                  = ( ^ [Xy: a] : $false ) )
                | ( Y
                  = ( ^ [Xy: a] : ~ $false ) ) )
              & ( ( Z
                  = ( ^ [Xy: a] : $false ) )
                | ( Z
                  = ( ^ [Xy: a] : ~ $false ) ) )
              & ( S
                = ( ^ [Xx: a] :
                      ( ( Y @ Xx )
                      & ( Z @ Xx ) ) ) ) )
           => ( ( S
                = ( ^ [Xy: a] : $false ) )
              | ( S
                = ( ^ [Xy: a] : ~ $false ) ) ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[7]) ).

thf(12,plain,
    ( ( ( sK1_R
        = ( ^ [Xx: a] : $false ) )
      & ( sK1_R
       != ( ^ [Xy: a] : $false ) )
      & ( sK1_R
       != ( ^ [Xy: a] : ~ $false ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[8]) ).

thf(13,plain,
    ( ( ( sK2_R
        = ( ^ [Xx: a] : ~ $false ) )
      & ( sK2_R
       != ( ^ [Xy: a] : $false ) )
      & ( sK2_R
       != ( ^ [Xy: a] : ~ $false ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[9]) ).

thf(14,plain,
    ( ( ! [SY34: a > $o] :
          ( ~ ( sK3_K @ SY34 )
          | ( SY34
            = ( ^ [Xy: a] : $false ) )
          | ( SY34
            = ( ^ [Xy: a] : ~ $false ) ) )
      & ( sK4_SY33
        = ( ^ [SY37: a] :
            ? [SY38: a > $o] :
              ( ( sK3_K @ SY38 )
              & ( SY38 @ SY37 ) ) ) )
      & ( sK4_SY33
       != ( ^ [Xy: a] : $false ) )
      & ( sK4_SY33
       != ( ^ [Xy: a] : ~ $false ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[10]) ).

thf(15,plain,
    ( ( ( ( sK5_Y
          = ( ^ [Xy: a] : $false ) )
        | ( sK5_Y
          = ( ^ [Xy: a] : ~ $false ) ) )
      & ( ( sK6_SY48
          = ( ^ [Xy: a] : $false ) )
        | ( sK6_SY48
          = ( ^ [Xy: a] : ~ $false ) ) )
      & ( sK7_SY57
        = ( ^ [SY62: a] :
              ( ( sK5_Y @ SY62 )
              & ( sK6_SY48 @ SY62 ) ) ) )
      & ( sK7_SY57
       != ( ^ [Xy: a] : $false ) )
      & ( sK7_SY57
       != ( ^ [Xy: a] : ~ $false ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[11]) ).

thf(16,plain,
    ( ( ( sK1_R
        = ( ^ [Xx: a] : $false ) )
      & ( sK1_R
       != ( ^ [Xy: a] : $false ) )
      & ( sK1_R
       != ( ^ [Xy: a] : ~ $false ) ) )
    = $true ),
    inference(copy,[status(thm)],[12]) ).

thf(17,plain,
    ( ( ~ ( ( sK1_R
           != ( ^ [SX0: a] : $false ) )
          | ~ ~ ( ~ ( ( sK1_R
                     != ( ^ [SX0: a] : $false ) ) )
                | ~ ( ( sK1_R
                     != ( ^ [SX0: a] : ~ $false ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[16]) ).

thf(18,plain,
    ( ( ( sK1_R
       != ( ^ [SX0: a] : $false ) )
      | ~ ~ ( ~ ( ( sK1_R
                 != ( ^ [SX0: a] : $false ) ) )
            | ~ ( ( sK1_R
                 != ( ^ [SX0: a] : ~ $false ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[17]) ).

thf(19,plain,
    ( ( ( sK1_R
       != ( ^ [SX0: a] : $false ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[18]) ).

thf(20,plain,
    ( ( ~ ~ ( ~ ( ( sK1_R
                 != ( ^ [SX0: a] : $false ) ) )
            | ~ ( ( sK1_R
                 != ( ^ [SX0: a] : ~ $false ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[18]) ).

thf(21,plain,
    ( ( sK1_R
      = ( ^ [SX0: a] : $false ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[19]) ).

thf(22,plain,
    ( ( ~ ( ~ ( ( sK1_R
               != ( ^ [SX0: a] : $false ) ) )
          | ~ ( ( sK1_R
               != ( ^ [SX0: a] : ~ $false ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[20]) ).

thf(23,plain,
    ( ( ! [SV1: a] :
          ( ( sK1_R @ SV1 )
          = $false ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[21]) ).

thf(24,plain,
    ( ( sK1_R
      = ( ^ [SX0: a] : $false ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[21]) ).

thf(25,plain,
    ( ( ~ ( ( sK1_R
           != ( ^ [SX0: a] : $false ) ) )
      | ~ ( ( sK1_R
           != ( ^ [SX0: a] : ~ $false ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[22]) ).

thf(26,plain,
    ! [SV2: a] :
      ( ( ( sK1_R @ SV2 )
        = $false )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[23]) ).

thf(27,plain,
    ( ( ~ ( ( sK1_R
           != ( ^ [SX0: a] : $false ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[25]) ).

thf(28,plain,
    ( ( ~ ( ( sK1_R
           != ( ^ [SX0: a] : ~ $false ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[25]) ).

thf(29,plain,
    ! [SV2: a] :
      ( ( ~ ( ( sK1_R @ SV2 )
            | $false )
        | ~ ( ~ ( sK1_R @ SV2 )
            | ~ $false ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[26]) ).

thf(30,plain,
    ! [SV2: a] :
      ( ( ( sK1_R @ SV2 )
        = $false )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[26]) ).

thf(31,plain,
    ( ( ( sK1_R
       != ( ^ [SX0: a] : $false ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[27]) ).

thf(32,plain,
    ( ( ( sK1_R
       != ( ^ [SX0: a] : ~ $false ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[28]) ).

thf(33,plain,
    ! [SV2: a] :
      ( ( ( ~ ( ( sK1_R @ SV2 )
              | $false ) )
        = $true )
      | ( ( ~ ( ~ ( sK1_R @ SV2 )
              | ~ $false ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[29]) ).

thf(34,plain,
    ( ( sK1_R
      = ( ^ [SX0: a] : $false ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[31]) ).

thf(35,plain,
    ( ( sK1_R
      = ( ^ [SX0: a] : ~ $false ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[32]) ).

thf(36,plain,
    ! [SV2: a] :
      ( ( ( ( sK1_R @ SV2 )
          | $false )
        = $false )
      | ( ( ~ ( ~ ( sK1_R @ SV2 )
              | ~ $false ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[33]) ).

thf(37,plain,
    ( ( ! [SV3: a] :
          ( ( sK1_R @ SV3 )
          = $false ) )
    = $false ),
    inference(extcnf_equal_neg,[status(thm)],[34]) ).

thf(38,plain,
    ( ( sK1_R
      = ( ^ [SX0: a] : $false ) )
    = $false ),
    inference(extcnf_equal_neg,[status(thm)],[34]) ).

thf(39,plain,
    ( ( ! [SV4: a] :
          ( ( sK1_R @ SV4 )
          = ( ~ $false ) ) )
    = $false ),
    inference(extcnf_equal_neg,[status(thm)],[35]) ).

thf(40,plain,
    ( ( sK1_R
      = ( ^ [SX0: a] : ~ $false ) )
    = $false ),
    inference(extcnf_equal_neg,[status(thm)],[35]) ).

thf(41,plain,
    ! [SV2: a] :
      ( ( ( sK1_R @ SV2 )
        = $false )
      | ( ( ~ ( ~ ( sK1_R @ SV2 )
              | ~ $false ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[36]) ).

thf(42,plain,
    ! [SV2: a] :
      ( ( $false = $false )
      | ( ( ~ ( ~ ( sK1_R @ SV2 )
              | ~ $false ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[36]) ).

thf(43,plain,
    ( ( ( sK1_R @ sK8_SV3 )
      = $false )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[37]) ).

thf(44,plain,
    ( ( ( sK1_R @ sK9_SV4 )
      = ( ~ $false ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[39]) ).

thf(45,plain,
    ! [SV2: a] :
      ( ( ( ~ ( sK1_R @ SV2 )
          | ~ $false )
        = $false )
      | ( ( sK1_R @ SV2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[41]) ).

thf(46,plain,
    ! [SV2: a] :
      ( ( ( ~ ( sK1_R @ SV2 )
          | ~ $false )
        = $false )
      | ( $false = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[42]) ).

thf(47,plain,
    ( ( ~ ( ( sK1_R @ sK8_SV3 )
          | $false )
      | ~ ( ~ ( sK1_R @ sK8_SV3 )
          | ~ $false ) )
    = $false ),
    inference(extcnf_equal_neg,[status(thm)],[43]) ).

thf(48,plain,
    ( ( ( sK1_R @ sK8_SV3 )
      = $false )
    = $false ),
    inference(extcnf_equal_neg,[status(thm)],[43]) ).

thf(49,plain,
    ( ( ~ ( ( sK1_R @ sK9_SV4 )
          | ~ $false )
      | ~ ( ~ ( sK1_R @ sK9_SV4 )
          | ~ ~ $false ) )
    = $false ),
    inference(extcnf_equal_neg,[status(thm)],[44]) ).

thf(50,plain,
    ( ( ( sK1_R @ sK9_SV4 )
      = ( ~ $false ) )
    = $false ),
    inference(extcnf_equal_neg,[status(thm)],[44]) ).

thf(51,plain,
    ! [SV2: a] :
      ( ( ( ~ ( sK1_R @ SV2 ) )
        = $false )
      | ( ( sK1_R @ SV2 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[45]) ).

thf(52,plain,
    ! [SV2: a] :
      ( ( ( ~ $false )
        = $false )
      | ( ( sK1_R @ SV2 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[45]) ).

thf(53,plain,
    ! [SV2: a] :
      ( ( ( ~ ( sK1_R @ SV2 ) )
        = $false )
      | ( $false = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[46]) ).

thf(54,plain,
    ( ( ( ~ $false )
      = $false )
    | ( $false = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[46]) ).

thf(55,plain,
    ( ( ~ ( ( sK1_R @ sK8_SV3 )
          | $false ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[47]) ).

thf(56,plain,
    ( ( ~ ( ~ ( sK1_R @ sK8_SV3 )
          | ~ $false ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[47]) ).

thf(57,plain,
    ( ( ~ ( ( sK1_R @ sK9_SV4 )
          | ~ $false ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[49]) ).

thf(58,plain,
    ( ( ~ ( ~ ( sK1_R @ sK9_SV4 )
          | ~ ~ $false ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[49]) ).

thf(59,plain,
    ! [SV2: a] :
      ( ( ( sK1_R @ SV2 )
        = $true )
      | ( ( sK1_R @ SV2 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[51]) ).

thf(60,plain,
    ! [SV2: a] :
      ( ( $false = $true )
      | ( ( sK1_R @ SV2 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[52]) ).

thf(61,plain,
    ! [SV2: a] :
      ( ( ( sK1_R @ SV2 )
        = $true )
      | ( $false = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[53]) ).

thf(62,plain,
    ( ( $false = $true )
    | ( $false = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[54]) ).

thf(63,plain,
    ( ( ( sK1_R @ sK8_SV3 )
      | $false )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[55]) ).

thf(64,plain,
    ( ( ~ ( sK1_R @ sK8_SV3 )
      | ~ $false )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[56]) ).

thf(65,plain,
    ( ( ( sK1_R @ sK9_SV4 )
      | ~ $false )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[57]) ).

thf(66,plain,
    ( ( ~ ( sK1_R @ sK9_SV4 )
      | ~ ~ $false )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[58]) ).

thf(67,plain,
    ( ( ( sK1_R @ sK8_SV3 )
      = $true )
    | ( $false = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[63]) ).

thf(68,plain,
    ( ( ( ~ ( sK1_R @ sK8_SV3 ) )
      = $true )
    | ( ( ~ $false )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[64]) ).

thf(69,plain,
    ( ( ( sK1_R @ sK9_SV4 )
      = $true )
    | ( ( ~ $false )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[65]) ).

thf(70,plain,
    ( ( ( ~ ( sK1_R @ sK9_SV4 ) )
      = $true )
    | ( ( ~ ~ $false )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[66]) ).

thf(71,plain,
    ( ( ( sK1_R @ sK8_SV3 )
      = $false )
    | ( ( ~ $false )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[68]) ).

thf(72,plain,
    ( ( $false = $false )
    | ( ( sK1_R @ sK9_SV4 )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[69]) ).

thf(73,plain,
    ( ( ( sK1_R @ sK9_SV4 )
      = $false )
    | ( ( ~ ~ $false )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[70]) ).

thf(74,plain,
    ( ( $false = $false )
    | ( ( sK1_R @ sK8_SV3 )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[71]) ).

thf(75,plain,
    ( ( ( ~ $false )
      = $false )
    | ( ( sK1_R @ sK9_SV4 )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[73]) ).

thf(76,plain,
    ( ( $false = $true )
    | ( ( sK1_R @ sK9_SV4 )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[75]) ).

thf(77,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[24,76,74,72,67,62,61,60,59,50,48,40,38,30]) ).

thf(78,plain,
    ( ( ( sK2_R
        = ( ^ [Xx: a] : ~ $false ) )
      & ( sK2_R
       != ( ^ [Xy: a] : $false ) )
      & ( sK2_R
       != ( ^ [Xy: a] : ~ $false ) ) )
    = $true ),
    inference(copy,[status(thm)],[13]) ).

thf(79,plain,
    ( ( ~ ( ( sK2_R
           != ( ^ [SX0: a] : ~ $false ) )
          | ~ ~ ( ~ ( ( sK2_R
                     != ( ^ [SX0: a] : $false ) ) )
                | ~ ( ( sK2_R
                     != ( ^ [SX0: a] : ~ $false ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[78]) ).

thf(80,plain,
    ( ( ( sK2_R
       != ( ^ [SX0: a] : ~ $false ) )
      | ~ ~ ( ~ ( ( sK2_R
                 != ( ^ [SX0: a] : $false ) ) )
            | ~ ( ( sK2_R
                 != ( ^ [SX0: a] : ~ $false ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[79]) ).

thf(81,plain,
    ( ( ( sK2_R
       != ( ^ [SX0: a] : ~ $false ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[80]) ).

thf(82,plain,
    ( ( ~ ~ ( ~ ( ( sK2_R
                 != ( ^ [SX0: a] : $false ) ) )
            | ~ ( ( sK2_R
                 != ( ^ [SX0: a] : ~ $false ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[80]) ).

thf(83,plain,
    ( ( sK2_R
      = ( ^ [SX0: a] : ~ $false ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[81]) ).

thf(84,plain,
    ( ( ~ ( ~ ( ( sK2_R
               != ( ^ [SX0: a] : $false ) ) )
          | ~ ( ( sK2_R
               != ( ^ [SX0: a] : ~ $false ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[82]) ).

thf(85,plain,
    ( ( ! [SV5: a] :
          ( ( sK2_R @ SV5 )
          = ( ~ $false ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[83]) ).

thf(86,plain,
    ( ( sK2_R
      = ( ^ [SX0: a] : ~ $false ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[83]) ).

thf(87,plain,
    ( ( ~ ( ( sK2_R
           != ( ^ [SX0: a] : $false ) ) )
      | ~ ( ( sK2_R
           != ( ^ [SX0: a] : ~ $false ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[84]) ).

thf(88,plain,
    ! [SV6: a] :
      ( ( ( sK2_R @ SV6 )
        = ( ~ $false ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[85]) ).

thf(89,plain,
    ( ( ~ ( ( sK2_R
           != ( ^ [SX0: a] : $false ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[87]) ).

thf(90,plain,
    ( ( ~ ( ( sK2_R
           != ( ^ [SX0: a] : ~ $false ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[87]) ).

thf(91,plain,
    ! [SV6: a] :
      ( ( ~ ( ( sK2_R @ SV6 )
            | ~ $false )
        | ~ ( ~ ( sK2_R @ SV6 )
            | ~ ~ $false ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[88]) ).

thf(92,plain,
    ! [SV6: a] :
      ( ( ( sK2_R @ SV6 )
        = ( ~ $false ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[88]) ).

thf(93,plain,
    ( ( ( sK2_R
       != ( ^ [SX0: a] : $false ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[89]) ).

thf(94,plain,
    ( ( ( sK2_R
       != ( ^ [SX0: a] : ~ $false ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[90]) ).

thf(95,plain,
    ! [SV6: a] :
      ( ( ( ~ ( ( sK2_R @ SV6 )
              | ~ $false ) )
        = $true )
      | ( ( ~ ( ~ ( sK2_R @ SV6 )
              | ~ ~ $false ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[91]) ).

thf(96,plain,
    ( ( sK2_R
      = ( ^ [SX0: a] : $false ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[93]) ).

thf(97,plain,
    ( ( sK2_R
      = ( ^ [SX0: a] : ~ $false ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[94]) ).

thf(98,plain,
    ! [SV6: a] :
      ( ( ( ( sK2_R @ SV6 )
          | ~ $false )
        = $false )
      | ( ( ~ ( ~ ( sK2_R @ SV6 )
              | ~ ~ $false ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[95]) ).

thf(99,plain,
    ( ( ! [SV7: a] :
          ( ( sK2_R @ SV7 )
          = $false ) )
    = $false ),
    inference(extcnf_equal_neg,[status(thm)],[96]) ).

thf(100,plain,
    ( ( sK2_R
      = ( ^ [SX0: a] : $false ) )
    = $false ),
    inference(extcnf_equal_neg,[status(thm)],[96]) ).

thf(101,plain,
    ( ( ! [SV8: a] :
          ( ( sK2_R @ SV8 )
          = ( ~ $false ) ) )
    = $false ),
    inference(extcnf_equal_neg,[status(thm)],[97]) ).

thf(102,plain,
    ( ( sK2_R
      = ( ^ [SX0: a] : ~ $false ) )
    = $false ),
    inference(extcnf_equal_neg,[status(thm)],[97]) ).

thf(103,plain,
    ! [SV6: a] :
      ( ( ( sK2_R @ SV6 )
        = $false )
      | ( ( ~ ( ~ ( sK2_R @ SV6 )
              | ~ ~ $false ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[98]) ).

thf(104,plain,
    ! [SV6: a] :
      ( ( ( ~ $false )
        = $false )
      | ( ( ~ ( ~ ( sK2_R @ SV6 )
              | ~ ~ $false ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[98]) ).

thf(105,plain,
    ( ( ( sK2_R @ sK10_SV7 )
      = $false )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[99]) ).

thf(106,plain,
    ( ( ( sK2_R @ sK11_SV8 )
      = ( ~ $false ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[101]) ).

thf(107,plain,
    ! [SV6: a] :
      ( ( ( ~ ( sK2_R @ SV6 )
          | ~ ~ $false )
        = $false )
      | ( ( sK2_R @ SV6 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[103]) ).

thf(108,plain,
    ! [SV6: a] :
      ( ( $false = $true )
      | ( ( ~ ( ~ ( sK2_R @ SV6 )
              | ~ ~ $false ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[104]) ).

thf(109,plain,
    ( ( ~ ( ( sK2_R @ sK10_SV7 )
          | $false )
      | ~ ( ~ ( sK2_R @ sK10_SV7 )
          | ~ $false ) )
    = $false ),
    inference(extcnf_equal_neg,[status(thm)],[105]) ).

thf(110,plain,
    ( ( ( sK2_R @ sK10_SV7 )
      = $false )
    = $false ),
    inference(extcnf_equal_neg,[status(thm)],[105]) ).

thf(111,plain,
    ( ( ~ ( ( sK2_R @ sK11_SV8 )
          | ~ $false )
      | ~ ( ~ ( sK2_R @ sK11_SV8 )
          | ~ ~ $false ) )
    = $false ),
    inference(extcnf_equal_neg,[status(thm)],[106]) ).

thf(112,plain,
    ( ( ( sK2_R @ sK11_SV8 )
      = ( ~ $false ) )
    = $false ),
    inference(extcnf_equal_neg,[status(thm)],[106]) ).

thf(113,plain,
    ! [SV6: a] :
      ( ( ( ~ ( sK2_R @ SV6 ) )
        = $false )
      | ( ( sK2_R @ SV6 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[107]) ).

thf(114,plain,
    ! [SV6: a] :
      ( ( ( ~ ~ $false )
        = $false )
      | ( ( sK2_R @ SV6 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[107]) ).

thf(115,plain,
    ! [SV6: a] :
      ( ( ( ~ ( sK2_R @ SV6 )
          | ~ ~ $false )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[108]) ).

thf(116,plain,
    ( ( ~ ( ( sK2_R @ sK10_SV7 )
          | $false ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[109]) ).

thf(117,plain,
    ( ( ~ ( ~ ( sK2_R @ sK10_SV7 )
          | ~ $false ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[109]) ).

thf(118,plain,
    ( ( ~ ( ( sK2_R @ sK11_SV8 )
          | ~ $false ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[111]) ).

thf(119,plain,
    ( ( ~ ( ~ ( sK2_R @ sK11_SV8 )
          | ~ ~ $false ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[111]) ).

thf(120,plain,
    ! [SV6: a] :
      ( ( ( sK2_R @ SV6 )
        = $true )
      | ( ( sK2_R @ SV6 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[113]) ).

thf(121,plain,
    ! [SV6: a] :
      ( ( ( ~ $false )
        = $true )
      | ( ( sK2_R @ SV6 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[114]) ).

thf(122,plain,
    ! [SV6: a] :
      ( ( ( ~ ( sK2_R @ SV6 ) )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[115]) ).

thf(123,plain,
    ( ( ( ~ ~ $false )
      = $false )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[115]) ).

thf(124,plain,
    ( ( ( sK2_R @ sK10_SV7 )
      | $false )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[116]) ).

thf(125,plain,
    ( ( ~ ( sK2_R @ sK10_SV7 )
      | ~ $false )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[117]) ).

thf(126,plain,
    ( ( ( sK2_R @ sK11_SV8 )
      | ~ $false )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[118]) ).

thf(127,plain,
    ( ( ~ ( sK2_R @ sK11_SV8 )
      | ~ ~ $false )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[119]) ).

thf(128,plain,
    ! [SV6: a] :
      ( ( $false = $false )
      | ( ( sK2_R @ SV6 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[121]) ).

thf(129,plain,
    ! [SV6: a] :
      ( ( ( sK2_R @ SV6 )
        = $true )
      | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[122]) ).

thf(130,plain,
    ( ( ( ~ $false )
      = $true )
    | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[123]) ).

thf(131,plain,
    ( ( ( sK2_R @ sK10_SV7 )
      = $true )
    | ( $false = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[124]) ).

thf(132,plain,
    ( ( ( ~ ( sK2_R @ sK10_SV7 ) )
      = $true )
    | ( ( ~ $false )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[125]) ).

thf(133,plain,
    ( ( ( sK2_R @ sK11_SV8 )
      = $true )
    | ( ( ~ $false )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[126]) ).

thf(134,plain,
    ( ( ( ~ ( sK2_R @ sK11_SV8 ) )
      = $true )
    | ( ( ~ ~ $false )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[127]) ).

thf(135,plain,
    ( ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[130]) ).

thf(136,plain,
    ( ( ( sK2_R @ sK10_SV7 )
      = $false )
    | ( ( ~ $false )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[132]) ).

thf(137,plain,
    ( ( $false = $false )
    | ( ( sK2_R @ sK11_SV8 )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[133]) ).

thf(138,plain,
    ( ( ( sK2_R @ sK11_SV8 )
      = $false )
    | ( ( ~ ~ $false )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[134]) ).

thf(139,plain,
    ( ( $false = $false )
    | ( ( sK2_R @ sK10_SV7 )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[136]) ).

thf(140,plain,
    ( ( ( ~ $false )
      = $false )
    | ( ( sK2_R @ sK11_SV8 )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[138]) ).

thf(141,plain,
    ( ( $false = $true )
    | ( ( sK2_R @ sK11_SV8 )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[140]) ).

thf(142,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[86,141,139,137,135,131,129,128,120,112,110,102,100,92]) ).

thf(143,plain,
    ( ( ! [SY34: a > $o] :
          ( ~ ( sK3_K @ SY34 )
          | ( SY34
            = ( ^ [Xy: a] : $false ) )
          | ( SY34
            = ( ^ [Xy: a] : ~ $false ) ) )
      & ( sK4_SY33
        = ( ^ [SY37: a] :
            ? [SY38: a > $o] :
              ( ( sK3_K @ SY38 )
              & ( SY38 @ SY37 ) ) ) )
      & ( sK4_SY33
       != ( ^ [Xy: a] : $false ) )
      & ( sK4_SY33
       != ( ^ [Xy: a] : ~ $false ) ) )
    = $true ),
    inference(copy,[status(thm)],[14]) ).

thf(144,plain,
    ( ( ~ ( ~ ~ ( ~ ! [SX0: a > $o] :
                      ( ~ ( sK3_K @ SX0 )
                      | ( SX0
                        = ( ^ [SX1: a] : $false ) )
                      | ( SX0
                        = ( ^ [SX1: a] : ~ $false ) ) )
                | ( sK4_SY33
                 != ( ^ [SX0: a] :
                        ~ ! [SX1: a > $o] :
                            ~ ~ ( ~ ( sK3_K @ SX1 )
                                | ~ ( SX1 @ SX0 ) ) ) ) )
          | ~ ~ ( ~ ( ( sK4_SY33
                     != ( ^ [SX0: a] : $false ) ) )
                | ~ ( ( sK4_SY33
                     != ( ^ [SX0: a] : ~ $false ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[143]) ).

thf(145,plain,
    ( ( ~ ~ ( ~ ! [SX0: a > $o] :
                  ( ~ ( sK3_K @ SX0 )
                  | ( SX0
                    = ( ^ [SX1: a] : $false ) )
                  | ( SX0
                    = ( ^ [SX1: a] : ~ $false ) ) )
            | ( sK4_SY33
             != ( ^ [SX0: a] :
                    ~ ! [SX1: a > $o] :
                        ~ ~ ( ~ ( sK3_K @ SX1 )
                            | ~ ( SX1 @ SX0 ) ) ) ) )
      | ~ ~ ( ~ ( ( sK4_SY33
                 != ( ^ [SX0: a] : $false ) ) )
            | ~ ( ( sK4_SY33
                 != ( ^ [SX0: a] : ~ $false ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[144]) ).

thf(146,plain,
    ( ( ~ ~ ( ~ ! [SX0: a > $o] :
                  ( ~ ( sK3_K @ SX0 )
                  | ( SX0
                    = ( ^ [SX1: a] : $false ) )
                  | ( SX0
                    = ( ^ [SX1: a] : ~ $false ) ) )
            | ( sK4_SY33
             != ( ^ [SX0: a] :
                    ~ ! [SX1: a > $o] :
                        ~ ~ ( ~ ( sK3_K @ SX1 )
                            | ~ ( SX1 @ SX0 ) ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[145]) ).

thf(147,plain,
    ( ( ~ ~ ( ~ ( ( sK4_SY33
                 != ( ^ [SX0: a] : $false ) ) )
            | ~ ( ( sK4_SY33
                 != ( ^ [SX0: a] : ~ $false ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[145]) ).

thf(148,plain,
    ( ( ~ ( ~ ! [SX0: a > $o] :
                ( ~ ( sK3_K @ SX0 )
                | ( SX0
                  = ( ^ [SX1: a] : $false ) )
                | ( SX0
                  = ( ^ [SX1: a] : ~ $false ) ) )
          | ( sK4_SY33
           != ( ^ [SX0: a] :
                  ~ ! [SX1: a > $o] :
                      ~ ~ ( ~ ( sK3_K @ SX1 )
                          | ~ ( SX1 @ SX0 ) ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[146]) ).

thf(149,plain,
    ( ( ~ ( ~ ( ( sK4_SY33
               != ( ^ [SX0: a] : $false ) ) )
          | ~ ( ( sK4_SY33
               != ( ^ [SX0: a] : ~ $false ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[147]) ).

thf(150,plain,
    ( ( ~ ! [SX0: a > $o] :
            ( ~ ( sK3_K @ SX0 )
            | ( SX0
              = ( ^ [SX1: a] : $false ) )
            | ( SX0
              = ( ^ [SX1: a] : ~ $false ) ) )
      | ( sK4_SY33
       != ( ^ [SX0: a] :
              ~ ! [SX1: a > $o] :
                  ~ ~ ( ~ ( sK3_K @ SX1 )
                      | ~ ( SX1 @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[148]) ).

thf(151,plain,
    ( ( ~ ( ( sK4_SY33
           != ( ^ [SX0: a] : $false ) ) )
      | ~ ( ( sK4_SY33
           != ( ^ [SX0: a] : ~ $false ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[149]) ).

thf(152,plain,
    ( ( ~ ! [SX0: a > $o] :
            ( ~ ( sK3_K @ SX0 )
            | ( SX0
              = ( ^ [SX1: a] : $false ) )
            | ( SX0
              = ( ^ [SX1: a] : ~ $false ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[150]) ).

thf(153,plain,
    ( ( ( sK4_SY33
       != ( ^ [SX0: a] :
              ~ ! [SX1: a > $o] :
                  ~ ~ ( ~ ( sK3_K @ SX1 )
                      | ~ ( SX1 @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[150]) ).

thf(154,plain,
    ( ( ~ ( ( sK4_SY33
           != ( ^ [SX0: a] : $false ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[151]) ).

thf(155,plain,
    ( ( ~ ( ( sK4_SY33
           != ( ^ [SX0: a] : ~ $false ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[151]) ).

thf(156,plain,
    ( ( ! [SX0: a > $o] :
          ( ~ ( sK3_K @ SX0 )
          | ( SX0
            = ( ^ [SX1: a] : $false ) )
          | ( SX0
            = ( ^ [SX1: a] : ~ $false ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[152]) ).

thf(157,plain,
    ( ( sK4_SY33
      = ( ^ [SX0: a] :
            ~ ! [SX1: a > $o] :
                ~ ~ ( ~ ( sK3_K @ SX1 )
                    | ~ ( SX1 @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[153]) ).

thf(158,plain,
    ( ( ( sK4_SY33
       != ( ^ [SX0: a] : $false ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[154]) ).

thf(159,plain,
    ( ( ( sK4_SY33
       != ( ^ [SX0: a] : ~ $false ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[155]) ).

thf(160,plain,
    ! [SV9: a > $o] :
      ( ( ~ ( sK3_K @ SV9 )
        | ( SV9
          = ( ^ [SX1: a] : $false ) )
        | ( SV9
          = ( ^ [SX1: a] : ~ $false ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[156]) ).

thf(161,plain,
    ( ( ! [SV10: a] :
          ( ( sK4_SY33 @ SV10 )
          = ( ~ ! [SY74: a > $o] :
                  ~ ~ ( ~ ( sK3_K @ SY74 )
                      | ~ ( SY74 @ SV10 ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[157]) ).

thf(162,plain,
    ( ( sK4_SY33
      = ( ^ [SX0: a] :
            ~ ! [SX1: a > $o] :
                ~ ~ ( ~ ( sK3_K @ SX1 )
                    | ~ ( SX1 @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[157]) ).

thf(163,plain,
    ( ( sK4_SY33
      = ( ^ [SX0: a] : $false ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[158]) ).

thf(164,plain,
    ( ( sK4_SY33
      = ( ^ [SX0: a] : ~ $false ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[159]) ).

thf(165,plain,
    ! [SV9: a > $o] :
      ( ( ( ~ ( sK3_K @ SV9 ) )
        = $true )
      | ( ( ( SV9
            = ( ^ [SX1: a] : $false ) )
          | ( SV9
            = ( ^ [SX1: a] : ~ $false ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[160]) ).

thf(166,plain,
    ! [SV11: a] :
      ( ( ( sK4_SY33 @ SV11 )
        = ( ~ ! [SY75: a > $o] :
                ~ ~ ( ~ ( sK3_K @ SY75 )
                    | ~ ( SY75 @ SV11 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[161]) ).

thf(167,plain,
    ( ( ! [SV12: a] :
          ( ( sK4_SY33 @ SV12 )
          = $false ) )
    = $false ),
    inference(extcnf_equal_neg,[status(thm)],[163]) ).

thf(168,plain,
    ( ( sK4_SY33
      = ( ^ [SX0: a] : $false ) )
    = $false ),
    inference(extcnf_equal_neg,[status(thm)],[163]) ).

thf(169,plain,
    ( ( ! [SV13: a] :
          ( ( sK4_SY33 @ SV13 )
          = ( ~ $false ) ) )
    = $false ),
    inference(extcnf_equal_neg,[status(thm)],[164]) ).

thf(170,plain,
    ( ( sK4_SY33
      = ( ^ [SX0: a] : ~ $false ) )
    = $false ),
    inference(extcnf_equal_neg,[status(thm)],[164]) ).

thf(171,plain,
    ! [SV9: a > $o] :
      ( ( ( sK3_K @ SV9 )
        = $false )
      | ( ( ( SV9
            = ( ^ [SX1: a] : $false ) )
          | ( SV9
            = ( ^ [SX1: a] : ~ $false ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[165]) ).

thf(172,plain,
    ! [SV11: a] :
      ( ( ~ ( ( sK4_SY33 @ SV11 )
            | ~ ! [SY75: a > $o] :
                  ~ ~ ( ~ ( sK3_K @ SY75 )
                      | ~ ( SY75 @ SV11 ) ) )
        | ~ ( ~ ( sK4_SY33 @ SV11 )
            | ~ ~ ! [SY75: a > $o] :
                    ~ ~ ( ~ ( sK3_K @ SY75 )
                        | ~ ( SY75 @ SV11 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[166]) ).

thf(173,plain,
    ! [SV11: a] :
      ( ( ( sK4_SY33 @ SV11 )
        = ( ~ ! [SY75: a > $o] :
                ~ ~ ( ~ ( sK3_K @ SY75 )
                    | ~ ( SY75 @ SV11 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[166]) ).

thf(174,plain,
    ( ( ( sK4_SY33 @ sK12_SV12 )
      = $false )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[167]) ).

thf(175,plain,
    ( ( ( sK4_SY33 @ sK13_SV13 )
      = ( ~ $false ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[169]) ).

thf(176,plain,
    ! [SV9: a > $o] :
      ( ( ( SV9
          = ( ^ [SX1: a] : $false ) )
        = $true )
      | ( ( SV9
          = ( ^ [SX1: a] : ~ $false ) )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[171]) ).

thf(177,plain,
    ! [SV11: a] :
      ( ( ( ~ ( ( sK4_SY33 @ SV11 )
              | ~ ! [SY75: a > $o] :
                    ~ ~ ( ~ ( sK3_K @ SY75 )
                        | ~ ( SY75 @ SV11 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK4_SY33 @ SV11 )
              | ~ ~ ! [SY75: a > $o] :
                      ~ ~ ( ~ ( sK3_K @ SY75 )
                          | ~ ( SY75 @ SV11 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[172]) ).

thf(178,plain,
    ( ( ~ ( ( sK4_SY33 @ sK12_SV12 )
          | $false )
      | ~ ( ~ ( sK4_SY33 @ sK12_SV12 )
          | ~ $false ) )
    = $false ),
    inference(extcnf_equal_neg,[status(thm)],[174]) ).

thf(179,plain,
    ( ( ( sK4_SY33 @ sK12_SV12 )
      = $false )
    = $false ),
    inference(extcnf_equal_neg,[status(thm)],[174]) ).

thf(180,plain,
    ( ( ~ ( ( sK4_SY33 @ sK13_SV13 )
          | ~ $false )
      | ~ ( ~ ( sK4_SY33 @ sK13_SV13 )
          | ~ ~ $false ) )
    = $false ),
    inference(extcnf_equal_neg,[status(thm)],[175]) ).

thf(181,plain,
    ( ( ( sK4_SY33 @ sK13_SV13 )
      = ( ~ $false ) )
    = $false ),
    inference(extcnf_equal_neg,[status(thm)],[175]) ).

thf(182,plain,
    ! [SV9: a > $o] :
      ( ( ( ! [SV14: a] :
              ( ( SV9 @ SV14 )
              = $false ) )
        = $true )
      | ( ( SV9
          = ( ^ [SX1: a] : ~ $false ) )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[176]) ).

thf(183,plain,
    ! [SV9: a > $o] :
      ( ( ( SV9
          = ( ^ [SX1: a] : $false ) )
        = $true )
      | ( ( SV9
          = ( ^ [SX1: a] : ~ $false ) )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[176]) ).

thf(184,plain,
    ! [SV11: a] :
      ( ( ( ( sK4_SY33 @ SV11 )
          | ~ ! [SY75: a > $o] :
                ~ ~ ( ~ ( sK3_K @ SY75 )
                    | ~ ( SY75 @ SV11 ) ) )
        = $false )
      | ( ( ~ ( ~ ( sK4_SY33 @ SV11 )
              | ~ ~ ! [SY75: a > $o] :
                      ~ ~ ( ~ ( sK3_K @ SY75 )
                          | ~ ( SY75 @ SV11 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[177]) ).

thf(185,plain,
    ( ( ~ ( ( sK4_SY33 @ sK12_SV12 )
          | $false ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[178]) ).

thf(186,plain,
    ( ( ~ ( ~ ( sK4_SY33 @ sK12_SV12 )
          | ~ $false ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[178]) ).

thf(187,plain,
    ( ( ~ ( ( sK4_SY33 @ sK13_SV13 )
          | ~ $false ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[180]) ).

thf(188,plain,
    ( ( ~ ( ~ ( sK4_SY33 @ sK13_SV13 )
          | ~ ~ $false ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[180]) ).

thf(189,plain,
    ! [SV15: a,SV9: a > $o] :
      ( ( ( ( SV9 @ SV15 )
          = $false )
        = $true )
      | ( ( SV9
          = ( ^ [SX1: a] : ~ $false ) )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[182]) ).

thf(190,plain,
    ! [SV9: a > $o] :
      ( ( ( ! [SV16: a] :
              ( ( SV9 @ SV16 )
              = ( ~ $false ) ) )
        = $true )
      | ( ( SV9
          = ( ^ [SX1: a] : $false ) )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[183]) ).

thf(191,plain,
    ! [SV9: a > $o] :
      ( ( ( SV9
          = ( ^ [SX1: a] : ~ $false ) )
        = $true )
      | ( ( SV9
          = ( ^ [SX1: a] : $false ) )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[183]) ).

thf(192,plain,
    ! [SV11: a] :
      ( ( ( sK4_SY33 @ SV11 )
        = $false )
      | ( ( ~ ( ~ ( sK4_SY33 @ SV11 )
              | ~ ~ ! [SY75: a > $o] :
                      ~ ~ ( ~ ( sK3_K @ SY75 )
                          | ~ ( SY75 @ SV11 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[184]) ).

thf(193,plain,
    ! [SV11: a] :
      ( ( ( ~ ! [SY75: a > $o] :
                ~ ~ ( ~ ( sK3_K @ SY75 )
                    | ~ ( SY75 @ SV11 ) ) )
        = $false )
      | ( ( ~ ( ~ ( sK4_SY33 @ SV11 )
              | ~ ~ ! [SY75: a > $o] :
                      ~ ~ ( ~ ( sK3_K @ SY75 )
                          | ~ ( SY75 @ SV11 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[184]) ).

thf(194,plain,
    ( ( ( sK4_SY33 @ sK12_SV12 )
      | $false )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[185]) ).

thf(195,plain,
    ( ( ~ ( sK4_SY33 @ sK12_SV12 )
      | ~ $false )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[186]) ).

thf(196,plain,
    ( ( ( sK4_SY33 @ sK13_SV13 )
      | ~ $false )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[187]) ).

thf(197,plain,
    ( ( ~ ( sK4_SY33 @ sK13_SV13 )
      | ~ ~ $false )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[188]) ).

thf(198,plain,
    ! [SV15: a,SV9: a > $o] :
      ( ( ( ~ ( ( SV9 @ SV15 )
              | $false )
          | ~ ( ~ ( SV9 @ SV15 )
              | ~ $false ) )
        = $true )
      | ( ( SV9
          = ( ^ [SX1: a] : ~ $false ) )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[189]) ).

thf(199,plain,
    ! [SV15: a,SV9: a > $o] :
      ( ( ( ( SV9 @ SV15 )
          = $false )
        = $true )
      | ( ( SV9
          = ( ^ [SX1: a] : ~ $false ) )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[189]) ).

thf(200,plain,
    ! [SV17: a,SV9: a > $o] :
      ( ( ( ( SV9 @ SV17 )
          = ( ~ $false ) )
        = $true )
      | ( ( SV9
          = ( ^ [SX1: a] : $false ) )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[190]) ).

thf(201,plain,
    ! [SV11: a] :
      ( ( ( ~ ( sK4_SY33 @ SV11 )
          | ~ ~ ! [SY75: a > $o] :
                  ~ ~ ( ~ ( sK3_K @ SY75 )
                      | ~ ( SY75 @ SV11 ) ) )
        = $false )
      | ( ( sK4_SY33 @ SV11 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[192]) ).

thf(202,plain,
    ! [SV11: a] :
      ( ( ( ! [SY75: a > $o] :
              ~ ~ ( ~ ( sK3_K @ SY75 )
                  | ~ ( SY75 @ SV11 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK4_SY33 @ SV11 )
              | ~ ~ ! [SY75: a > $o] :
                      ~ ~ ( ~ ( sK3_K @ SY75 )
                          | ~ ( SY75 @ SV11 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[193]) ).

thf(203,plain,
    ( ( ( sK4_SY33 @ sK12_SV12 )
      = $true )
    | ( $false = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[194]) ).

thf(204,plain,
    ( ( ( ~ ( sK4_SY33 @ sK12_SV12 ) )
      = $true )
    | ( ( ~ $false )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[195]) ).

thf(205,plain,
    ( ( ( sK4_SY33 @ sK13_SV13 )
      = $true )
    | ( ( ~ $false )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[196]) ).

thf(206,plain,
    ( ( ( ~ ( sK4_SY33 @ sK13_SV13 ) )
      = $true )
    | ( ( ~ ~ $false )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[197]) ).

thf(207,plain,
    ! [SV15: a,SV9: a > $o] :
      ( ( ( ~ ( ( SV9 @ SV15 )
              | $false ) )
        = $true )
      | ( ( ~ ( ~ ( SV9 @ SV15 )
              | ~ $false ) )
        = $true )
      | ( ( SV9
          = ( ^ [SX1: a] : ~ $false ) )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[198]) ).

thf(208,plain,
    ! [SV15: a,SV9: a > $o] :
      ( ( ( ! [SV18: a] :
              ( ( SV9 @ SV18 )
              = ( ~ $false ) ) )
        = $true )
      | ( ( ( SV9 @ SV15 )
          = $false )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[199]) ).

thf(209,plain,
    ! [SV15: a,SV9: a > $o] :
      ( ( ( SV9
          = ( ^ [SX1: a] : ~ $false ) )
        = $true )
      | ( ( ( SV9 @ SV15 )
          = $false )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[199]) ).

thf(210,plain,
    ! [SV17: a,SV9: a > $o] :
      ( ( ( ~ ( ( SV9 @ SV17 )
              | ~ $false )
          | ~ ( ~ ( SV9 @ SV17 )
              | ~ ~ $false ) )
        = $true )
      | ( ( SV9
          = ( ^ [SX1: a] : $false ) )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[200]) ).

thf(211,plain,
    ! [SV17: a,SV9: a > $o] :
      ( ( ( ( SV9 @ SV17 )
          = ( ~ $false ) )
        = $true )
      | ( ( SV9
          = ( ^ [SX1: a] : $false ) )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[200]) ).

thf(212,plain,
    ! [SV11: a] :
      ( ( ( ~ ( sK4_SY33 @ SV11 ) )
        = $false )
      | ( ( sK4_SY33 @ SV11 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[201]) ).

thf(213,plain,
    ! [SV11: a] :
      ( ( ( ~ ~ ! [SY75: a > $o] :
                  ~ ~ ( ~ ( sK3_K @ SY75 )
                      | ~ ( SY75 @ SV11 ) ) )
        = $false )
      | ( ( sK4_SY33 @ SV11 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[201]) ).

thf(214,plain,
    ! [SV11: a,SV19: a > $o] :
      ( ( ( ~ ~ ( ~ ( sK3_K @ SV19 )
                | ~ ( SV19 @ SV11 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK4_SY33 @ SV11 )
              | ~ ~ ! [SY75: a > $o] :
                      ~ ~ ( ~ ( sK3_K @ SY75 )
                          | ~ ( SY75 @ SV11 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[202]) ).

thf(215,plain,
    ( ( ( sK4_SY33 @ sK12_SV12 )
      = $false )
    | ( ( ~ $false )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[204]) ).

thf(216,plain,
    ( ( $false = $false )
    | ( ( sK4_SY33 @ sK13_SV13 )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[205]) ).

thf(217,plain,
    ( ( ( sK4_SY33 @ sK13_SV13 )
      = $false )
    | ( ( ~ ~ $false )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[206]) ).

thf(218,plain,
    ! [SV15: a,SV9: a > $o] :
      ( ( ( ( SV9 @ SV15 )
          | $false )
        = $false )
      | ( ( ~ ( ~ ( SV9 @ SV15 )
              | ~ $false ) )
        = $true )
      | ( ( SV9
          = ( ^ [SX1: a] : ~ $false ) )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[207]) ).

thf(219,plain,
    ! [SV15: a,SV20: a,SV9: a > $o] :
      ( ( ( ( SV9 @ SV20 )
          = ( ~ $false ) )
        = $true )
      | ( ( ( SV9 @ SV15 )
          = $false )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[208]) ).

thf(220,plain,
    ! [SV17: a,SV9: a > $o] :
      ( ( ( ~ ( ( SV9 @ SV17 )
              | ~ $false ) )
        = $true )
      | ( ( ~ ( ~ ( SV9 @ SV17 )
              | ~ ~ $false ) )
        = $true )
      | ( ( SV9
          = ( ^ [SX1: a] : $false ) )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[210]) ).

thf(221,plain,
    ! [SV11: a] :
      ( ( ( sK4_SY33 @ SV11 )
        = $true )
      | ( ( sK4_SY33 @ SV11 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[212]) ).

thf(222,plain,
    ! [SV11: a] :
      ( ( ( ~ ! [SY75: a > $o] :
                ~ ~ ( ~ ( sK3_K @ SY75 )
                    | ~ ( SY75 @ SV11 ) ) )
        = $true )
      | ( ( sK4_SY33 @ SV11 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[213]) ).

thf(223,plain,
    ! [SV11: a,SV19: a > $o] :
      ( ( ( ~ ( ~ ( sK3_K @ SV19 )
              | ~ ( SV19 @ SV11 ) ) )
        = $false )
      | ( ( ~ ( ~ ( sK4_SY33 @ SV11 )
              | ~ ~ ! [SY75: a > $o] :
                      ~ ~ ( ~ ( sK3_K @ SY75 )
                          | ~ ( SY75 @ SV11 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[214]) ).

thf(224,plain,
    ( ( $false = $false )
    | ( ( sK4_SY33 @ sK12_SV12 )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[215]) ).

thf(225,plain,
    ( ( ( ~ $false )
      = $false )
    | ( ( sK4_SY33 @ sK13_SV13 )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[217]) ).

thf(226,plain,
    ! [SV15: a,SV9: a > $o] :
      ( ( ( SV9 @ SV15 )
        = $false )
      | ( ( ~ ( ~ ( SV9 @ SV15 )
              | ~ $false ) )
        = $true )
      | ( ( SV9
          = ( ^ [SX1: a] : ~ $false ) )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[218]) ).

thf(227,plain,
    ! [SV15: a,SV9: a > $o] :
      ( ( $false = $false )
      | ( ( ~ ( ~ ( SV9 @ SV15 )
              | ~ $false ) )
        = $true )
      | ( ( SV9
          = ( ^ [SX1: a] : ~ $false ) )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[218]) ).

thf(228,plain,
    ! [SV15: a,SV20: a,SV9: a > $o] :
      ( ( ( ~ ( ( SV9 @ SV20 )
              | ~ $false )
          | ~ ( ~ ( SV9 @ SV20 )
              | ~ ~ $false ) )
        = $true )
      | ( ( ( SV9 @ SV15 )
          = $false )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[219]) ).

thf(229,plain,
    ! [SV15: a,SV20: a,SV9: a > $o] :
      ( ( ( ( SV9 @ SV20 )
          = ( ~ $false ) )
        = $true )
      | ( ( ( SV9 @ SV15 )
          = $false )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[219]) ).

thf(230,plain,
    ! [SV17: a,SV9: a > $o] :
      ( ( ( ( SV9 @ SV17 )
          | ~ $false )
        = $false )
      | ( ( ~ ( ~ ( SV9 @ SV17 )
              | ~ ~ $false ) )
        = $true )
      | ( ( SV9
          = ( ^ [SX1: a] : $false ) )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[220]) ).

thf(231,plain,
    ! [SV11: a] :
      ( ( ( ! [SY75: a > $o] :
              ~ ~ ( ~ ( sK3_K @ SY75 )
                  | ~ ( SY75 @ SV11 ) ) )
        = $false )
      | ( ( sK4_SY33 @ SV11 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[222]) ).

thf(232,plain,
    ! [SV11: a,SV19: a > $o] :
      ( ( ( ~ ( sK3_K @ SV19 )
          | ~ ( SV19 @ SV11 ) )
        = $true )
      | ( ( ~ ( ~ ( sK4_SY33 @ SV11 )
              | ~ ~ ! [SY75: a > $o] :
                      ~ ~ ( ~ ( sK3_K @ SY75 )
                          | ~ ( SY75 @ SV11 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[223]) ).

thf(233,plain,
    ( ( $false = $true )
    | ( ( sK4_SY33 @ sK13_SV13 )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[225]) ).

thf(234,plain,
    ! [SV15: a,SV9: a > $o] :
      ( ( ( ~ ( SV9 @ SV15 )
          | ~ $false )
        = $false )
      | ( ( SV9 @ SV15 )
        = $false )
      | ( ( SV9
          = ( ^ [SX1: a] : ~ $false ) )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[226]) ).

thf(235,plain,
    ! [SV15: a,SV9: a > $o] :
      ( ( ( ~ ( SV9 @ SV15 )
          | ~ $false )
        = $false )
      | ( $false = $false )
      | ( ( SV9
          = ( ^ [SX1: a] : ~ $false ) )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[227]) ).

thf(236,plain,
    ! [SV15: a,SV20: a,SV9: a > $o] :
      ( ( ( ~ ( ( SV9 @ SV20 )
              | ~ $false ) )
        = $true )
      | ( ( ~ ( ~ ( SV9 @ SV20 )
              | ~ ~ $false ) )
        = $true )
      | ( ( ( SV9 @ SV15 )
          = $false )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[228]) ).

thf(237,plain,
    ! [SV17: a,SV9: a > $o] :
      ( ( ( SV9 @ SV17 )
        = $false )
      | ( ( ~ ( ~ ( SV9 @ SV17 )
              | ~ ~ $false ) )
        = $true )
      | ( ( SV9
          = ( ^ [SX1: a] : $false ) )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[230]) ).

thf(238,plain,
    ! [SV17: a,SV9: a > $o] :
      ( ( ( ~ $false )
        = $false )
      | ( ( ~ ( ~ ( SV9 @ SV17 )
              | ~ ~ $false ) )
        = $true )
      | ( ( SV9
          = ( ^ [SX1: a] : $false ) )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[230]) ).

thf(239,plain,
    ! [SV11: a] :
      ( ( ( ~ ~ ( ~ ( sK3_K @ ( sK14_SY75 @ SV11 ) )
                | ~ ( sK14_SY75 @ SV11 @ SV11 ) ) )
        = $false )
      | ( ( sK4_SY33 @ SV11 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[231]) ).

thf(240,plain,
    ! [SV11: a,SV19: a > $o] :
      ( ( ( ~ ( sK3_K @ SV19 ) )
        = $true )
      | ( ( ~ ( SV19 @ SV11 ) )
        = $true )
      | ( ( ~ ( ~ ( sK4_SY33 @ SV11 )
              | ~ ~ ! [SY75: a > $o] :
                      ~ ~ ( ~ ( sK3_K @ SY75 )
                          | ~ ( SY75 @ SV11 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[232]) ).

thf(241,plain,
    ! [SV15: a,SV9: a > $o] :
      ( ( ( ~ ( SV9 @ SV15 ) )
        = $false )
      | ( ( SV9 @ SV15 )
        = $false )
      | ( ( SV9
          = ( ^ [SX1: a] : ~ $false ) )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[234]) ).

thf(242,plain,
    ! [SV15: a,SV9: a > $o] :
      ( ( ( ~ $false )
        = $false )
      | ( ( SV9 @ SV15 )
        = $false )
      | ( ( SV9
          = ( ^ [SX1: a] : ~ $false ) )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[234]) ).

thf(243,plain,
    ! [SV15: a,SV9: a > $o] :
      ( ( ( ~ ( SV9 @ SV15 ) )
        = $false )
      | ( $false = $false )
      | ( ( SV9
          = ( ^ [SX1: a] : ~ $false ) )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[235]) ).

thf(244,plain,
    ! [SV9: a > $o] :
      ( ( ( ~ $false )
        = $false )
      | ( $false = $false )
      | ( ( SV9
          = ( ^ [SX1: a] : ~ $false ) )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[235]) ).

thf(245,plain,
    ! [SV15: a,SV20: a,SV9: a > $o] :
      ( ( ( ( SV9 @ SV20 )
          | ~ $false )
        = $false )
      | ( ( ~ ( ~ ( SV9 @ SV20 )
              | ~ ~ $false ) )
        = $true )
      | ( ( ( SV9 @ SV15 )
          = $false )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[236]) ).

thf(246,plain,
    ! [SV17: a,SV9: a > $o] :
      ( ( ( ~ ( SV9 @ SV17 )
          | ~ ~ $false )
        = $false )
      | ( ( SV9 @ SV17 )
        = $false )
      | ( ( SV9
          = ( ^ [SX1: a] : $false ) )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[237]) ).

thf(247,plain,
    ! [SV17: a,SV9: a > $o] :
      ( ( $false = $true )
      | ( ( ~ ( ~ ( SV9 @ SV17 )
              | ~ ~ $false ) )
        = $true )
      | ( ( SV9
          = ( ^ [SX1: a] : $false ) )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[238]) ).

thf(248,plain,
    ! [SV11: a] :
      ( ( ( ~ ( ~ ( sK3_K @ ( sK14_SY75 @ SV11 ) )
              | ~ ( sK14_SY75 @ SV11 @ SV11 ) ) )
        = $true )
      | ( ( sK4_SY33 @ SV11 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[239]) ).

thf(249,plain,
    ! [SV11: a,SV19: a > $o] :
      ( ( ( sK3_K @ SV19 )
        = $false )
      | ( ( ~ ( SV19 @ SV11 ) )
        = $true )
      | ( ( ~ ( ~ ( sK4_SY33 @ SV11 )
              | ~ ~ ! [SY75: a > $o] :
                      ~ ~ ( ~ ( sK3_K @ SY75 )
                          | ~ ( SY75 @ SV11 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[240]) ).

thf(250,plain,
    ! [SV15: a,SV9: a > $o] :
      ( ( ( SV9 @ SV15 )
        = $true )
      | ( ( SV9 @ SV15 )
        = $false )
      | ( ( SV9
          = ( ^ [SX1: a] : ~ $false ) )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[241]) ).

thf(251,plain,
    ! [SV15: a,SV9: a > $o] :
      ( ( $false = $true )
      | ( ( SV9 @ SV15 )
        = $false )
      | ( ( SV9
          = ( ^ [SX1: a] : ~ $false ) )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[242]) ).

thf(252,plain,
    ! [SV15: a,SV9: a > $o] :
      ( ( ( SV9 @ SV15 )
        = $true )
      | ( $false = $false )
      | ( ( SV9
          = ( ^ [SX1: a] : ~ $false ) )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[243]) ).

thf(253,plain,
    ! [SV9: a > $o] :
      ( ( $false = $true )
      | ( $false = $false )
      | ( ( SV9
          = ( ^ [SX1: a] : ~ $false ) )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[244]) ).

thf(254,plain,
    ! [SV15: a,SV20: a,SV9: a > $o] :
      ( ( ( SV9 @ SV20 )
        = $false )
      | ( ( ~ ( ~ ( SV9 @ SV20 )
              | ~ ~ $false ) )
        = $true )
      | ( ( ( SV9 @ SV15 )
          = $false )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[245]) ).

thf(255,plain,
    ! [SV15: a,SV20: a,SV9: a > $o] :
      ( ( ( ~ $false )
        = $false )
      | ( ( ~ ( ~ ( SV9 @ SV20 )
              | ~ ~ $false ) )
        = $true )
      | ( ( ( SV9 @ SV15 )
          = $false )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[245]) ).

thf(256,plain,
    ! [SV17: a,SV9: a > $o] :
      ( ( ( ~ ( SV9 @ SV17 ) )
        = $false )
      | ( ( SV9 @ SV17 )
        = $false )
      | ( ( SV9
          = ( ^ [SX1: a] : $false ) )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[246]) ).

thf(257,plain,
    ! [SV17: a,SV9: a > $o] :
      ( ( ( ~ ~ $false )
        = $false )
      | ( ( SV9 @ SV17 )
        = $false )
      | ( ( SV9
          = ( ^ [SX1: a] : $false ) )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[246]) ).

thf(258,plain,
    ! [SV17: a,SV9: a > $o] :
      ( ( ( ~ ( SV9 @ SV17 )
          | ~ ~ $false )
        = $false )
      | ( $false = $true )
      | ( ( SV9
          = ( ^ [SX1: a] : $false ) )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[247]) ).

thf(259,plain,
    ! [SV11: a] :
      ( ( ( ~ ( sK3_K @ ( sK14_SY75 @ SV11 ) )
          | ~ ( sK14_SY75 @ SV11 @ SV11 ) )
        = $false )
      | ( ( sK4_SY33 @ SV11 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[248]) ).

thf(260,plain,
    ! [SV11: a,SV19: a > $o] :
      ( ( ( SV19 @ SV11 )
        = $false )
      | ( ( sK3_K @ SV19 )
        = $false )
      | ( ( ~ ( ~ ( sK4_SY33 @ SV11 )
              | ~ ~ ! [SY75: a > $o] :
                      ~ ~ ( ~ ( sK3_K @ SY75 )
                          | ~ ( SY75 @ SV11 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[249]) ).

thf(261,plain,
    ! [SV15: a,SV9: a > $o] :
      ( ( ( ! [SV21: a] :
              ( ( SV9 @ SV21 )
              = ( ~ $false ) ) )
        = $true )
      | ( ( SV9 @ SV15 )
        = $false )
      | ( ( SV9 @ SV15 )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[250]) ).

thf(262,plain,
    ! [SV15: a,SV9: a > $o] :
      ( ( ( SV9
          = ( ^ [SX1: a] : ~ $false ) )
        = $true )
      | ( ( SV9 @ SV15 )
        = $false )
      | ( ( SV9 @ SV15 )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[250]) ).

thf(263,plain,
    ! [SV15: a,SV9: a > $o] :
      ( ( ( ! [SV22: a] :
              ( ( SV9 @ SV22 )
              = ( ~ $false ) ) )
        = $true )
      | ( ( SV9 @ SV15 )
        = $false )
      | ( $false = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[251]) ).

thf(264,plain,
    ! [SV15: a,SV9: a > $o] :
      ( ( ( SV9
          = ( ^ [SX1: a] : ~ $false ) )
        = $true )
      | ( ( SV9 @ SV15 )
        = $false )
      | ( $false = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[251]) ).

thf(265,plain,
    ! [SV15: a,SV9: a > $o] :
      ( ( ( ! [SV23: a] :
              ( ( SV9 @ SV23 )
              = ( ~ $false ) ) )
        = $true )
      | ( $false = $false )
      | ( ( SV9 @ SV15 )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[252]) ).

thf(266,plain,
    ! [SV15: a,SV9: a > $o] :
      ( ( ( SV9
          = ( ^ [SX1: a] : ~ $false ) )
        = $true )
      | ( $false = $false )
      | ( ( SV9 @ SV15 )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[252]) ).

thf(267,plain,
    ! [SV9: a > $o] :
      ( ( ( ! [SV24: a] :
              ( ( SV9 @ SV24 )
              = ( ~ $false ) ) )
        = $true )
      | ( $false = $false )
      | ( $false = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[253]) ).

thf(268,plain,
    ! [SV9: a > $o] :
      ( ( ( SV9
          = ( ^ [SX1: a] : ~ $false ) )
        = $true )
      | ( $false = $false )
      | ( $false = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[253]) ).

thf(269,plain,
    ! [SV15: a,SV20: a,SV9: a > $o] :
      ( ( ( ~ ( SV9 @ SV20 )
          | ~ ~ $false )
        = $false )
      | ( ( SV9 @ SV20 )
        = $false )
      | ( ( ( SV9 @ SV15 )
          = $false )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[254]) ).

thf(270,plain,
    ! [SV15: a,SV20: a,SV9: a > $o] :
      ( ( $false = $true )
      | ( ( ~ ( ~ ( SV9 @ SV20 )
              | ~ ~ $false ) )
        = $true )
      | ( ( ( SV9 @ SV15 )
          = $false )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[255]) ).

thf(271,plain,
    ! [SV17: a,SV9: a > $o] :
      ( ( ( SV9 @ SV17 )
        = $true )
      | ( ( SV9 @ SV17 )
        = $false )
      | ( ( SV9
          = ( ^ [SX1: a] : $false ) )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[256]) ).

thf(272,plain,
    ! [SV17: a,SV9: a > $o] :
      ( ( ( ~ $false )
        = $true )
      | ( ( SV9 @ SV17 )
        = $false )
      | ( ( SV9
          = ( ^ [SX1: a] : $false ) )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[257]) ).

thf(273,plain,
    ! [SV17: a,SV9: a > $o] :
      ( ( ( ~ ( SV9 @ SV17 ) )
        = $false )
      | ( $false = $true )
      | ( ( SV9
          = ( ^ [SX1: a] : $false ) )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[258]) ).

thf(274,plain,
    ! [SV9: a > $o] :
      ( ( ( ~ ~ $false )
        = $false )
      | ( $false = $true )
      | ( ( SV9
          = ( ^ [SX1: a] : $false ) )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[258]) ).

thf(275,plain,
    ! [SV11: a] :
      ( ( ( ~ ( sK3_K @ ( sK14_SY75 @ SV11 ) ) )
        = $false )
      | ( ( sK4_SY33 @ SV11 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[259]) ).

thf(276,plain,
    ! [SV11: a] :
      ( ( ( ~ ( sK14_SY75 @ SV11 @ SV11 ) )
        = $false )
      | ( ( sK4_SY33 @ SV11 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[259]) ).

thf(277,plain,
    ! [SV19: a > $o,SV11: a] :
      ( ( ( ~ ( sK4_SY33 @ SV11 )
          | ~ ~ ! [SY75: a > $o] :
                  ~ ~ ( ~ ( sK3_K @ SY75 )
                      | ~ ( SY75 @ SV11 ) ) )
        = $false )
      | ( ( sK3_K @ SV19 )
        = $false )
      | ( ( SV19 @ SV11 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[260]) ).

thf(278,plain,
    ! [SV15: a,SV25: a,SV9: a > $o] :
      ( ( ( ( SV9 @ SV25 )
          = ( ~ $false ) )
        = $true )
      | ( ( SV9 @ SV15 )
        = $false )
      | ( ( SV9 @ SV15 )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[261]) ).

thf(279,plain,
    ! [SV15: a,SV26: a,SV9: a > $o] :
      ( ( ( ( SV9 @ SV26 )
          = ( ~ $false ) )
        = $true )
      | ( ( SV9 @ SV15 )
        = $false )
      | ( $false = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[263]) ).

thf(280,plain,
    ! [SV15: a,SV27: a,SV9: a > $o] :
      ( ( ( ( SV9 @ SV27 )
          = ( ~ $false ) )
        = $true )
      | ( $false = $false )
      | ( ( SV9 @ SV15 )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[265]) ).

thf(281,plain,
    ! [SV28: a,SV9: a > $o] :
      ( ( ( ( SV9 @ SV28 )
          = ( ~ $false ) )
        = $true )
      | ( $false = $false )
      | ( $false = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[267]) ).

thf(282,plain,
    ! [SV15: a,SV20: a,SV9: a > $o] :
      ( ( ( ~ ( SV9 @ SV20 ) )
        = $false )
      | ( ( SV9 @ SV20 )
        = $false )
      | ( ( ( SV9 @ SV15 )
          = $false )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[269]) ).

thf(283,plain,
    ! [SV15: a,SV20: a,SV9: a > $o] :
      ( ( ( ~ ~ $false )
        = $false )
      | ( ( SV9 @ SV20 )
        = $false )
      | ( ( ( SV9 @ SV15 )
          = $false )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[269]) ).

thf(284,plain,
    ! [SV15: a,SV20: a,SV9: a > $o] :
      ( ( ( ~ ( SV9 @ SV20 )
          | ~ ~ $false )
        = $false )
      | ( $false = $true )
      | ( ( ( SV9 @ SV15 )
          = $false )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[270]) ).

thf(285,plain,
    ! [SV17: a,SV9: a > $o] :
      ( ( $false = $false )
      | ( ( SV9 @ SV17 )
        = $false )
      | ( ( SV9
          = ( ^ [SX1: a] : $false ) )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[272]) ).

thf(286,plain,
    ! [SV17: a,SV9: a > $o] :
      ( ( ( SV9 @ SV17 )
        = $true )
      | ( $false = $true )
      | ( ( SV9
          = ( ^ [SX1: a] : $false ) )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[273]) ).

thf(287,plain,
    ! [SV9: a > $o] :
      ( ( ( ~ $false )
        = $true )
      | ( $false = $true )
      | ( ( SV9
          = ( ^ [SX1: a] : $false ) )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[274]) ).

thf(288,plain,
    ! [SV11: a] :
      ( ( ( sK3_K @ ( sK14_SY75 @ SV11 ) )
        = $true )
      | ( ( sK4_SY33 @ SV11 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[275]) ).

thf(289,plain,
    ! [SV11: a] :
      ( ( ( sK14_SY75 @ SV11 @ SV11 )
        = $true )
      | ( ( sK4_SY33 @ SV11 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[276]) ).

thf(290,plain,
    ! [SV19: a > $o,SV11: a] :
      ( ( ( ~ ( sK4_SY33 @ SV11 ) )
        = $false )
      | ( ( sK3_K @ SV19 )
        = $false )
      | ( ( SV19 @ SV11 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[277]) ).

thf(291,plain,
    ! [SV19: a > $o,SV11: a] :
      ( ( ( ~ ~ ! [SY75: a > $o] :
                  ~ ~ ( ~ ( sK3_K @ SY75 )
                      | ~ ( SY75 @ SV11 ) ) )
        = $false )
      | ( ( sK3_K @ SV19 )
        = $false )
      | ( ( SV19 @ SV11 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[277]) ).

thf(292,plain,
    ! [SV15: a,SV25: a,SV9: a > $o] :
      ( ( ( ~ ( ( SV9 @ SV25 )
              | ~ $false )
          | ~ ( ~ ( SV9 @ SV25 )
              | ~ ~ $false ) )
        = $true )
      | ( ( SV9 @ SV15 )
        = $false )
      | ( ( SV9 @ SV15 )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[278]) ).

thf(293,plain,
    ! [SV15: a,SV25: a,SV9: a > $o] :
      ( ( ( ( SV9 @ SV25 )
          = ( ~ $false ) )
        = $true )
      | ( ( SV9 @ SV15 )
        = $false )
      | ( ( SV9 @ SV15 )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[278]) ).

thf(294,plain,
    ! [SV15: a,SV26: a,SV9: a > $o] :
      ( ( ( ~ ( ( SV9 @ SV26 )
              | ~ $false )
          | ~ ( ~ ( SV9 @ SV26 )
              | ~ ~ $false ) )
        = $true )
      | ( ( SV9 @ SV15 )
        = $false )
      | ( $false = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[279]) ).

thf(295,plain,
    ! [SV15: a,SV26: a,SV9: a > $o] :
      ( ( ( ( SV9 @ SV26 )
          = ( ~ $false ) )
        = $true )
      | ( ( SV9 @ SV15 )
        = $false )
      | ( $false = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[279]) ).

thf(296,plain,
    ! [SV15: a,SV27: a,SV9: a > $o] :
      ( ( ( ~ ( ( SV9 @ SV27 )
              | ~ $false )
          | ~ ( ~ ( SV9 @ SV27 )
              | ~ ~ $false ) )
        = $true )
      | ( $false = $false )
      | ( ( SV9 @ SV15 )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[280]) ).

thf(297,plain,
    ! [SV15: a,SV27: a,SV9: a > $o] :
      ( ( ( ( SV9 @ SV27 )
          = ( ~ $false ) )
        = $true )
      | ( $false = $false )
      | ( ( SV9 @ SV15 )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[280]) ).

thf(298,plain,
    ! [SV28: a,SV9: a > $o] :
      ( ( ( ~ ( ( SV9 @ SV28 )
              | ~ $false )
          | ~ ( ~ ( SV9 @ SV28 )
              | ~ ~ $false ) )
        = $true )
      | ( $false = $false )
      | ( $false = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[281]) ).

thf(299,plain,
    ! [SV28: a,SV9: a > $o] :
      ( ( ( ( SV9 @ SV28 )
          = ( ~ $false ) )
        = $true )
      | ( $false = $false )
      | ( $false = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[281]) ).

thf(300,plain,
    ! [SV15: a,SV20: a,SV9: a > $o] :
      ( ( ( SV9 @ SV20 )
        = $true )
      | ( ( SV9 @ SV20 )
        = $false )
      | ( ( ( SV9 @ SV15 )
          = $false )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[282]) ).

thf(301,plain,
    ! [SV15: a,SV20: a,SV9: a > $o] :
      ( ( ( ~ $false )
        = $true )
      | ( ( SV9 @ SV20 )
        = $false )
      | ( ( ( SV9 @ SV15 )
          = $false )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[283]) ).

thf(302,plain,
    ! [SV15: a,SV20: a,SV9: a > $o] :
      ( ( ( ~ ( SV9 @ SV20 ) )
        = $false )
      | ( $false = $true )
      | ( ( ( SV9 @ SV15 )
          = $false )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[284]) ).

thf(303,plain,
    ! [SV15: a,SV9: a > $o] :
      ( ( ( ~ ~ $false )
        = $false )
      | ( $false = $true )
      | ( ( ( SV9 @ SV15 )
          = $false )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[284]) ).

thf(304,plain,
    ! [SV9: a > $o] :
      ( ( $false = $false )
      | ( $false = $true )
      | ( ( SV9
          = ( ^ [SX1: a] : $false ) )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[287]) ).

thf(305,plain,
    ! [SV19: a > $o,SV11: a] :
      ( ( ( sK4_SY33 @ SV11 )
        = $true )
      | ( ( sK3_K @ SV19 )
        = $false )
      | ( ( SV19 @ SV11 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[290]) ).

thf(306,plain,
    ! [SV19: a > $o,SV11: a] :
      ( ( ( ~ ! [SY75: a > $o] :
                ~ ~ ( ~ ( sK3_K @ SY75 )
                    | ~ ( SY75 @ SV11 ) ) )
        = $true )
      | ( ( sK3_K @ SV19 )
        = $false )
      | ( ( SV19 @ SV11 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[291]) ).

thf(307,plain,
    ! [SV15: a,SV25: a,SV9: a > $o] :
      ( ( ( ~ ( ( SV9 @ SV25 )
              | ~ $false ) )
        = $true )
      | ( ( ~ ( ~ ( SV9 @ SV25 )
              | ~ ~ $false ) )
        = $true )
      | ( ( SV9 @ SV15 )
        = $false )
      | ( ( SV9 @ SV15 )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[292]) ).

thf(308,plain,
    ! [SV15: a,SV26: a,SV9: a > $o] :
      ( ( ( ~ ( ( SV9 @ SV26 )
              | ~ $false ) )
        = $true )
      | ( ( ~ ( ~ ( SV9 @ SV26 )
              | ~ ~ $false ) )
        = $true )
      | ( ( SV9 @ SV15 )
        = $false )
      | ( $false = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[294]) ).

thf(309,plain,
    ! [SV15: a,SV27: a,SV9: a > $o] :
      ( ( ( ~ ( ( SV9 @ SV27 )
              | ~ $false ) )
        = $true )
      | ( ( ~ ( ~ ( SV9 @ SV27 )
              | ~ ~ $false ) )
        = $true )
      | ( $false = $false )
      | ( ( SV9 @ SV15 )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[296]) ).

thf(310,plain,
    ! [SV28: a,SV9: a > $o] :
      ( ( ( ~ ( ( SV9 @ SV28 )
              | ~ $false ) )
        = $true )
      | ( ( ~ ( ~ ( SV9 @ SV28 )
              | ~ ~ $false ) )
        = $true )
      | ( $false = $false )
      | ( $false = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[298]) ).

thf(311,plain,
    ! [SV15: a,SV20: a,SV9: a > $o] :
      ( ( $false = $false )
      | ( ( SV9 @ SV20 )
        = $false )
      | ( ( ( SV9 @ SV15 )
          = $false )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[301]) ).

thf(312,plain,
    ! [SV15: a,SV20: a,SV9: a > $o] :
      ( ( ( SV9 @ SV20 )
        = $true )
      | ( $false = $true )
      | ( ( ( SV9 @ SV15 )
          = $false )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[302]) ).

thf(313,plain,
    ! [SV15: a,SV9: a > $o] :
      ( ( ( ~ $false )
        = $true )
      | ( $false = $true )
      | ( ( ( SV9 @ SV15 )
          = $false )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[303]) ).

thf(314,plain,
    ! [SV19: a > $o,SV11: a] :
      ( ( ( ! [SY75: a > $o] :
              ~ ~ ( ~ ( sK3_K @ SY75 )
                  | ~ ( SY75 @ SV11 ) ) )
        = $false )
      | ( ( sK3_K @ SV19 )
        = $false )
      | ( ( SV19 @ SV11 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[306]) ).

thf(315,plain,
    ! [SV15: a,SV25: a,SV9: a > $o] :
      ( ( ( ( SV9 @ SV25 )
          | ~ $false )
        = $false )
      | ( ( ~ ( ~ ( SV9 @ SV25 )
              | ~ ~ $false ) )
        = $true )
      | ( ( SV9 @ SV15 )
        = $false )
      | ( ( SV9 @ SV15 )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[307]) ).

thf(316,plain,
    ! [SV15: a,SV26: a,SV9: a > $o] :
      ( ( ( ( SV9 @ SV26 )
          | ~ $false )
        = $false )
      | ( ( ~ ( ~ ( SV9 @ SV26 )
              | ~ ~ $false ) )
        = $true )
      | ( ( SV9 @ SV15 )
        = $false )
      | ( $false = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[308]) ).

thf(317,plain,
    ! [SV15: a,SV27: a,SV9: a > $o] :
      ( ( ( ( SV9 @ SV27 )
          | ~ $false )
        = $false )
      | ( ( ~ ( ~ ( SV9 @ SV27 )
              | ~ ~ $false ) )
        = $true )
      | ( $false = $false )
      | ( ( SV9 @ SV15 )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[309]) ).

thf(318,plain,
    ! [SV28: a,SV9: a > $o] :
      ( ( ( ( SV9 @ SV28 )
          | ~ $false )
        = $false )
      | ( ( ~ ( ~ ( SV9 @ SV28 )
              | ~ ~ $false ) )
        = $true )
      | ( $false = $false )
      | ( $false = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[310]) ).

thf(319,plain,
    ! [SV15: a,SV9: a > $o] :
      ( ( $false = $false )
      | ( $false = $true )
      | ( ( ( SV9 @ SV15 )
          = $false )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[313]) ).

thf(320,plain,
    ! [SV11: a,SV19: a > $o] :
      ( ( ( ~ ~ ( ~ ( sK3_K @ ( sK15_SY75 @ SV19 @ SV11 ) )
                | ~ ( sK15_SY75 @ SV19 @ SV11 @ SV11 ) ) )
        = $false )
      | ( ( sK3_K @ SV19 )
        = $false )
      | ( ( SV19 @ SV11 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[314]) ).

thf(321,plain,
    ! [SV15: a,SV25: a,SV9: a > $o] :
      ( ( ( SV9 @ SV25 )
        = $false )
      | ( ( ~ ( ~ ( SV9 @ SV25 )
              | ~ ~ $false ) )
        = $true )
      | ( ( SV9 @ SV15 )
        = $false )
      | ( ( SV9 @ SV15 )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[315]) ).

thf(322,plain,
    ! [SV15: a,SV25: a,SV9: a > $o] :
      ( ( ( ~ $false )
        = $false )
      | ( ( ~ ( ~ ( SV9 @ SV25 )
              | ~ ~ $false ) )
        = $true )
      | ( ( SV9 @ SV15 )
        = $false )
      | ( ( SV9 @ SV15 )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[315]) ).

thf(323,plain,
    ! [SV15: a,SV26: a,SV9: a > $o] :
      ( ( ( SV9 @ SV26 )
        = $false )
      | ( ( ~ ( ~ ( SV9 @ SV26 )
              | ~ ~ $false ) )
        = $true )
      | ( ( SV9 @ SV15 )
        = $false )
      | ( $false = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[316]) ).

thf(324,plain,
    ! [SV15: a,SV26: a,SV9: a > $o] :
      ( ( ( ~ $false )
        = $false )
      | ( ( ~ ( ~ ( SV9 @ SV26 )
              | ~ ~ $false ) )
        = $true )
      | ( ( SV9 @ SV15 )
        = $false )
      | ( $false = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[316]) ).

thf(325,plain,
    ! [SV15: a,SV27: a,SV9: a > $o] :
      ( ( ( SV9 @ SV27 )
        = $false )
      | ( ( ~ ( ~ ( SV9 @ SV27 )
              | ~ ~ $false ) )
        = $true )
      | ( $false = $false )
      | ( ( SV9 @ SV15 )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[317]) ).

thf(326,plain,
    ! [SV15: a,SV27: a,SV9: a > $o] :
      ( ( ( ~ $false )
        = $false )
      | ( ( ~ ( ~ ( SV9 @ SV27 )
              | ~ ~ $false ) )
        = $true )
      | ( $false = $false )
      | ( ( SV9 @ SV15 )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[317]) ).

thf(327,plain,
    ! [SV28: a,SV9: a > $o] :
      ( ( ( SV9 @ SV28 )
        = $false )
      | ( ( ~ ( ~ ( SV9 @ SV28 )
              | ~ ~ $false ) )
        = $true )
      | ( $false = $false )
      | ( $false = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[318]) ).

thf(328,plain,
    ! [SV28: a,SV9: a > $o] :
      ( ( ( ~ $false )
        = $false )
      | ( ( ~ ( ~ ( SV9 @ SV28 )
              | ~ ~ $false ) )
        = $true )
      | ( $false = $false )
      | ( $false = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[318]) ).

thf(329,plain,
    ! [SV11: a,SV19: a > $o] :
      ( ( ( ~ ( ~ ( sK3_K @ ( sK15_SY75 @ SV19 @ SV11 ) )
              | ~ ( sK15_SY75 @ SV19 @ SV11 @ SV11 ) ) )
        = $true )
      | ( ( sK3_K @ SV19 )
        = $false )
      | ( ( SV19 @ SV11 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[320]) ).

thf(330,plain,
    ! [SV15: a,SV25: a,SV9: a > $o] :
      ( ( ( ~ ( SV9 @ SV25 )
          | ~ ~ $false )
        = $false )
      | ( ( SV9 @ SV25 )
        = $false )
      | ( ( SV9 @ SV15 )
        = $false )
      | ( ( SV9 @ SV15 )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[321]) ).

thf(331,plain,
    ! [SV15: a,SV25: a,SV9: a > $o] :
      ( ( $false = $true )
      | ( ( ~ ( ~ ( SV9 @ SV25 )
              | ~ ~ $false ) )
        = $true )
      | ( ( SV9 @ SV15 )
        = $false )
      | ( ( SV9 @ SV15 )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[322]) ).

thf(332,plain,
    ! [SV15: a,SV26: a,SV9: a > $o] :
      ( ( ( ~ ( SV9 @ SV26 )
          | ~ ~ $false )
        = $false )
      | ( ( SV9 @ SV26 )
        = $false )
      | ( ( SV9 @ SV15 )
        = $false )
      | ( $false = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[323]) ).

thf(333,plain,
    ! [SV15: a,SV26: a,SV9: a > $o] :
      ( ( $false = $true )
      | ( ( ~ ( ~ ( SV9 @ SV26 )
              | ~ ~ $false ) )
        = $true )
      | ( ( SV9 @ SV15 )
        = $false )
      | ( $false = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[324]) ).

thf(334,plain,
    ! [SV15: a,SV27: a,SV9: a > $o] :
      ( ( ( ~ ( SV9 @ SV27 )
          | ~ ~ $false )
        = $false )
      | ( ( SV9 @ SV27 )
        = $false )
      | ( $false = $false )
      | ( ( SV9 @ SV15 )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[325]) ).

thf(335,plain,
    ! [SV15: a,SV27: a,SV9: a > $o] :
      ( ( $false = $true )
      | ( ( ~ ( ~ ( SV9 @ SV27 )
              | ~ ~ $false ) )
        = $true )
      | ( $false = $false )
      | ( ( SV9 @ SV15 )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[326]) ).

thf(336,plain,
    ! [SV28: a,SV9: a > $o] :
      ( ( ( ~ ( SV9 @ SV28 )
          | ~ ~ $false )
        = $false )
      | ( ( SV9 @ SV28 )
        = $false )
      | ( $false = $false )
      | ( $false = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[327]) ).

thf(337,plain,
    ! [SV28: a,SV9: a > $o] :
      ( ( $false = $true )
      | ( ( ~ ( ~ ( SV9 @ SV28 )
              | ~ ~ $false ) )
        = $true )
      | ( $false = $false )
      | ( $false = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[328]) ).

thf(338,plain,
    ! [SV11: a,SV19: a > $o] :
      ( ( ( ~ ( sK3_K @ ( sK15_SY75 @ SV19 @ SV11 ) )
          | ~ ( sK15_SY75 @ SV19 @ SV11 @ SV11 ) )
        = $false )
      | ( ( sK3_K @ SV19 )
        = $false )
      | ( ( SV19 @ SV11 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[329]) ).

thf(339,plain,
    ! [SV15: a,SV25: a,SV9: a > $o] :
      ( ( ( ~ ( SV9 @ SV25 ) )
        = $false )
      | ( ( SV9 @ SV25 )
        = $false )
      | ( ( SV9 @ SV15 )
        = $false )
      | ( ( SV9 @ SV15 )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[330]) ).

thf(340,plain,
    ! [SV15: a,SV25: a,SV9: a > $o] :
      ( ( ( ~ ~ $false )
        = $false )
      | ( ( SV9 @ SV25 )
        = $false )
      | ( ( SV9 @ SV15 )
        = $false )
      | ( ( SV9 @ SV15 )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[330]) ).

thf(341,plain,
    ! [SV15: a,SV25: a,SV9: a > $o] :
      ( ( ( ~ ( SV9 @ SV25 )
          | ~ ~ $false )
        = $false )
      | ( $false = $true )
      | ( ( SV9 @ SV15 )
        = $false )
      | ( ( SV9 @ SV15 )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[331]) ).

thf(342,plain,
    ! [SV15: a,SV26: a,SV9: a > $o] :
      ( ( ( ~ ( SV9 @ SV26 ) )
        = $false )
      | ( ( SV9 @ SV26 )
        = $false )
      | ( ( SV9 @ SV15 )
        = $false )
      | ( $false = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[332]) ).

thf(343,plain,
    ! [SV15: a,SV26: a,SV9: a > $o] :
      ( ( ( ~ ~ $false )
        = $false )
      | ( ( SV9 @ SV26 )
        = $false )
      | ( ( SV9 @ SV15 )
        = $false )
      | ( $false = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[332]) ).

thf(344,plain,
    ! [SV15: a,SV26: a,SV9: a > $o] :
      ( ( ( ~ ( SV9 @ SV26 )
          | ~ ~ $false )
        = $false )
      | ( $false = $true )
      | ( ( SV9 @ SV15 )
        = $false )
      | ( $false = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[333]) ).

thf(345,plain,
    ! [SV15: a,SV27: a,SV9: a > $o] :
      ( ( ( ~ ( SV9 @ SV27 ) )
        = $false )
      | ( ( SV9 @ SV27 )
        = $false )
      | ( $false = $false )
      | ( ( SV9 @ SV15 )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[334]) ).

thf(346,plain,
    ! [SV15: a,SV27: a,SV9: a > $o] :
      ( ( ( ~ ~ $false )
        = $false )
      | ( ( SV9 @ SV27 )
        = $false )
      | ( $false = $false )
      | ( ( SV9 @ SV15 )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[334]) ).

thf(347,plain,
    ! [SV15: a,SV27: a,SV9: a > $o] :
      ( ( ( ~ ( SV9 @ SV27 )
          | ~ ~ $false )
        = $false )
      | ( $false = $true )
      | ( $false = $false )
      | ( ( SV9 @ SV15 )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[335]) ).

thf(348,plain,
    ! [SV28: a,SV9: a > $o] :
      ( ( ( ~ ( SV9 @ SV28 ) )
        = $false )
      | ( ( SV9 @ SV28 )
        = $false )
      | ( $false = $false )
      | ( $false = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[336]) ).

thf(349,plain,
    ! [SV28: a,SV9: a > $o] :
      ( ( ( ~ ~ $false )
        = $false )
      | ( ( SV9 @ SV28 )
        = $false )
      | ( $false = $false )
      | ( $false = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[336]) ).

thf(350,plain,
    ! [SV28: a,SV9: a > $o] :
      ( ( ( ~ ( SV9 @ SV28 )
          | ~ ~ $false )
        = $false )
      | ( $false = $true )
      | ( $false = $false )
      | ( $false = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[337]) ).

thf(351,plain,
    ! [SV11: a,SV19: a > $o] :
      ( ( ( ~ ( sK3_K @ ( sK15_SY75 @ SV19 @ SV11 ) ) )
        = $false )
      | ( ( sK3_K @ SV19 )
        = $false )
      | ( ( SV19 @ SV11 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[338]) ).

thf(352,plain,
    ! [SV11: a,SV19: a > $o] :
      ( ( ( ~ ( sK15_SY75 @ SV19 @ SV11 @ SV11 ) )
        = $false )
      | ( ( sK3_K @ SV19 )
        = $false )
      | ( ( SV19 @ SV11 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[338]) ).

thf(353,plain,
    ! [SV15: a,SV25: a,SV9: a > $o] :
      ( ( ( SV9 @ SV25 )
        = $true )
      | ( ( SV9 @ SV25 )
        = $false )
      | ( ( SV9 @ SV15 )
        = $false )
      | ( ( SV9 @ SV15 )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[339]) ).

thf(354,plain,
    ! [SV15: a,SV25: a,SV9: a > $o] :
      ( ( ( ~ $false )
        = $true )
      | ( ( SV9 @ SV25 )
        = $false )
      | ( ( SV9 @ SV15 )
        = $false )
      | ( ( SV9 @ SV15 )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[340]) ).

thf(355,plain,
    ! [SV15: a,SV25: a,SV9: a > $o] :
      ( ( ( ~ ( SV9 @ SV25 ) )
        = $false )
      | ( $false = $true )
      | ( ( SV9 @ SV15 )
        = $false )
      | ( ( SV9 @ SV15 )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[341]) ).

thf(356,plain,
    ! [SV15: a,SV9: a > $o] :
      ( ( ( ~ ~ $false )
        = $false )
      | ( $false = $true )
      | ( ( SV9 @ SV15 )
        = $false )
      | ( ( SV9 @ SV15 )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[341]) ).

thf(357,plain,
    ! [SV15: a,SV26: a,SV9: a > $o] :
      ( ( ( SV9 @ SV26 )
        = $true )
      | ( ( SV9 @ SV26 )
        = $false )
      | ( ( SV9 @ SV15 )
        = $false )
      | ( $false = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[342]) ).

thf(358,plain,
    ! [SV15: a,SV26: a,SV9: a > $o] :
      ( ( ( ~ $false )
        = $true )
      | ( ( SV9 @ SV26 )
        = $false )
      | ( ( SV9 @ SV15 )
        = $false )
      | ( $false = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[343]) ).

thf(359,plain,
    ! [SV15: a,SV26: a,SV9: a > $o] :
      ( ( ( ~ ( SV9 @ SV26 ) )
        = $false )
      | ( $false = $true )
      | ( ( SV9 @ SV15 )
        = $false )
      | ( $false = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[344]) ).

thf(360,plain,
    ! [SV15: a,SV9: a > $o] :
      ( ( ( ~ ~ $false )
        = $false )
      | ( $false = $true )
      | ( ( SV9 @ SV15 )
        = $false )
      | ( $false = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[344]) ).

thf(361,plain,
    ! [SV15: a,SV27: a,SV9: a > $o] :
      ( ( ( SV9 @ SV27 )
        = $true )
      | ( ( SV9 @ SV27 )
        = $false )
      | ( $false = $false )
      | ( ( SV9 @ SV15 )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[345]) ).

thf(362,plain,
    ! [SV15: a,SV27: a,SV9: a > $o] :
      ( ( ( ~ $false )
        = $true )
      | ( ( SV9 @ SV27 )
        = $false )
      | ( $false = $false )
      | ( ( SV9 @ SV15 )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[346]) ).

thf(363,plain,
    ! [SV15: a,SV27: a,SV9: a > $o] :
      ( ( ( ~ ( SV9 @ SV27 ) )
        = $false )
      | ( $false = $true )
      | ( $false = $false )
      | ( ( SV9 @ SV15 )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[347]) ).

thf(364,plain,
    ! [SV15: a,SV9: a > $o] :
      ( ( ( ~ ~ $false )
        = $false )
      | ( $false = $true )
      | ( $false = $false )
      | ( ( SV9 @ SV15 )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[347]) ).

thf(365,plain,
    ! [SV28: a,SV9: a > $o] :
      ( ( ( SV9 @ SV28 )
        = $true )
      | ( ( SV9 @ SV28 )
        = $false )
      | ( $false = $false )
      | ( $false = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[348]) ).

thf(366,plain,
    ! [SV28: a,SV9: a > $o] :
      ( ( ( ~ $false )
        = $true )
      | ( ( SV9 @ SV28 )
        = $false )
      | ( $false = $false )
      | ( $false = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[349]) ).

thf(367,plain,
    ! [SV28: a,SV9: a > $o] :
      ( ( ( ~ ( SV9 @ SV28 ) )
        = $false )
      | ( $false = $true )
      | ( $false = $false )
      | ( $false = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[350]) ).

thf(368,plain,
    ! [SV9: a > $o] :
      ( ( ( ~ ~ $false )
        = $false )
      | ( $false = $true )
      | ( $false = $false )
      | ( $false = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[350]) ).

thf(369,plain,
    ! [SV11: a,SV19: a > $o] :
      ( ( ( sK3_K @ ( sK15_SY75 @ SV19 @ SV11 ) )
        = $true )
      | ( ( sK3_K @ SV19 )
        = $false )
      | ( ( SV19 @ SV11 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[351]) ).

thf(370,plain,
    ! [SV11: a,SV19: a > $o] :
      ( ( ( sK15_SY75 @ SV19 @ SV11 @ SV11 )
        = $true )
      | ( ( sK3_K @ SV19 )
        = $false )
      | ( ( SV19 @ SV11 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[352]) ).

thf(371,plain,
    ! [SV15: a,SV25: a,SV9: a > $o] :
      ( ( $false = $false )
      | ( ( SV9 @ SV25 )
        = $false )
      | ( ( SV9 @ SV15 )
        = $false )
      | ( ( SV9 @ SV15 )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[354]) ).

thf(372,plain,
    ! [SV15: a,SV25: a,SV9: a > $o] :
      ( ( ( SV9 @ SV25 )
        = $true )
      | ( $false = $true )
      | ( ( SV9 @ SV15 )
        = $false )
      | ( ( SV9 @ SV15 )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[355]) ).

thf(373,plain,
    ! [SV15: a,SV9: a > $o] :
      ( ( ( ~ $false )
        = $true )
      | ( $false = $true )
      | ( ( SV9 @ SV15 )
        = $false )
      | ( ( SV9 @ SV15 )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[356]) ).

thf(374,plain,
    ! [SV15: a,SV26: a,SV9: a > $o] :
      ( ( $false = $false )
      | ( ( SV9 @ SV26 )
        = $false )
      | ( ( SV9 @ SV15 )
        = $false )
      | ( $false = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[358]) ).

thf(375,plain,
    ! [SV15: a,SV26: a,SV9: a > $o] :
      ( ( ( SV9 @ SV26 )
        = $true )
      | ( $false = $true )
      | ( ( SV9 @ SV15 )
        = $false )
      | ( $false = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[359]) ).

thf(376,plain,
    ! [SV15: a,SV9: a > $o] :
      ( ( ( ~ $false )
        = $true )
      | ( $false = $true )
      | ( ( SV9 @ SV15 )
        = $false )
      | ( $false = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[360]) ).

thf(377,plain,
    ! [SV15: a,SV27: a,SV9: a > $o] :
      ( ( $false = $false )
      | ( ( SV9 @ SV27 )
        = $false )
      | ( $false = $false )
      | ( ( SV9 @ SV15 )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[362]) ).

thf(378,plain,
    ! [SV15: a,SV27: a,SV9: a > $o] :
      ( ( ( SV9 @ SV27 )
        = $true )
      | ( $false = $true )
      | ( $false = $false )
      | ( ( SV9 @ SV15 )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[363]) ).

thf(379,plain,
    ! [SV15: a,SV9: a > $o] :
      ( ( ( ~ $false )
        = $true )
      | ( $false = $true )
      | ( $false = $false )
      | ( ( SV9 @ SV15 )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[364]) ).

thf(380,plain,
    ! [SV28: a,SV9: a > $o] :
      ( ( $false = $false )
      | ( ( SV9 @ SV28 )
        = $false )
      | ( $false = $false )
      | ( $false = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[366]) ).

thf(381,plain,
    ! [SV28: a,SV9: a > $o] :
      ( ( ( SV9 @ SV28 )
        = $true )
      | ( $false = $true )
      | ( $false = $false )
      | ( $false = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[367]) ).

thf(382,plain,
    ! [SV9: a > $o] :
      ( ( ( ~ $false )
        = $true )
      | ( $false = $true )
      | ( $false = $false )
      | ( $false = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[368]) ).

thf(383,plain,
    ! [SV15: a,SV9: a > $o] :
      ( ( $false = $false )
      | ( $false = $true )
      | ( ( SV9 @ SV15 )
        = $false )
      | ( ( SV9 @ SV15 )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[373]) ).

thf(384,plain,
    ! [SV15: a,SV9: a > $o] :
      ( ( $false = $false )
      | ( $false = $true )
      | ( ( SV9 @ SV15 )
        = $false )
      | ( $false = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[376]) ).

thf(385,plain,
    ! [SV15: a,SV9: a > $o] :
      ( ( $false = $false )
      | ( $false = $true )
      | ( $false = $false )
      | ( ( SV9 @ SV15 )
        = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[379]) ).

thf(386,plain,
    ! [SV9: a > $o] :
      ( ( $false = $false )
      | ( $false = $true )
      | ( $false = $false )
      | ( $false = $true )
      | ( ( sK3_K @ SV9 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[382]) ).

thf(387,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[162,386,385,384,383,381,380,378,377,375,374,372,371,370,369,365,361,357,353,319,312,311,305,304,300,299,297,295,293,289,288,286,285,271,268,266,264,262,233,229,224,221,216,211,209,203,191,181,179,173,170,168]) ).

thf(388,plain,
    ( ( ( ( sK5_Y
          = ( ^ [Xy: a] : $false ) )
        | ( sK5_Y
          = ( ^ [Xy: a] : ~ $false ) ) )
      & ( ( sK6_SY48
          = ( ^ [Xy: a] : $false ) )
        | ( sK6_SY48
          = ( ^ [Xy: a] : ~ $false ) ) )
      & ( sK7_SY57
        = ( ^ [SY62: a] :
              ( ( sK5_Y @ SY62 )
              & ( sK6_SY48 @ SY62 ) ) ) )
      & ( sK7_SY57
       != ( ^ [Xy: a] : $false ) )
      & ( sK7_SY57
       != ( ^ [Xy: a] : ~ $false ) ) )
    = $true ),
    inference(copy,[status(thm)],[15]) ).

thf(389,plain,
    ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_Y
                            = ( ^ [SX0: a] : $false ) )
                          | ( sK5_Y
                            = ( ^ [SX0: a] : ~ $false ) ) )
                      | ~ ( ( sK6_SY48
                            = ( ^ [SX0: a] : $false ) )
                          | ( sK6_SY48
                            = ( ^ [SX0: a] : ~ $false ) ) ) )
                | ( sK7_SY57
                 != ( ^ [SX0: a] :
                        ~ ( ~ ( sK5_Y @ SX0 )
                          | ~ ( sK6_SY48 @ SX0 ) ) ) ) )
          | ~ ~ ( ~ ( ( sK7_SY57
                     != ( ^ [SX0: a] : $false ) ) )
                | ~ ( ( sK7_SY57
                     != ( ^ [SX0: a] : ~ $false ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[388]) ).

thf(390,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ( ( sK5_Y
                        = ( ^ [SX0: a] : $false ) )
                      | ( sK5_Y
                        = ( ^ [SX0: a] : ~ $false ) ) )
                  | ~ ( ( sK6_SY48
                        = ( ^ [SX0: a] : $false ) )
                      | ( sK6_SY48
                        = ( ^ [SX0: a] : ~ $false ) ) ) )
            | ( sK7_SY57
             != ( ^ [SX0: a] :
                    ~ ( ~ ( sK5_Y @ SX0 )
                      | ~ ( sK6_SY48 @ SX0 ) ) ) ) )
      | ~ ~ ( ~ ( ( sK7_SY57
                 != ( ^ [SX0: a] : $false ) ) )
            | ~ ( ( sK7_SY57
                 != ( ^ [SX0: a] : ~ $false ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[389]) ).

thf(391,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ( ( sK5_Y
                        = ( ^ [SX0: a] : $false ) )
                      | ( sK5_Y
                        = ( ^ [SX0: a] : ~ $false ) ) )
                  | ~ ( ( sK6_SY48
                        = ( ^ [SX0: a] : $false ) )
                      | ( sK6_SY48
                        = ( ^ [SX0: a] : ~ $false ) ) ) )
            | ( sK7_SY57
             != ( ^ [SX0: a] :
                    ~ ( ~ ( sK5_Y @ SX0 )
                      | ~ ( sK6_SY48 @ SX0 ) ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[390]) ).

thf(392,plain,
    ( ( ~ ~ ( ~ ( ( sK7_SY57
                 != ( ^ [SX0: a] : $false ) ) )
            | ~ ( ( sK7_SY57
                 != ( ^ [SX0: a] : ~ $false ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[390]) ).

thf(393,plain,
    ( ( ~ ( ~ ~ ( ~ ( ( sK5_Y
                      = ( ^ [SX0: a] : $false ) )
                    | ( sK5_Y
                      = ( ^ [SX0: a] : ~ $false ) ) )
                | ~ ( ( sK6_SY48
                      = ( ^ [SX0: a] : $false ) )
                    | ( sK6_SY48
                      = ( ^ [SX0: a] : ~ $false ) ) ) )
          | ( sK7_SY57
           != ( ^ [SX0: a] :
                  ~ ( ~ ( sK5_Y @ SX0 )
                    | ~ ( sK6_SY48 @ SX0 ) ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[391]) ).

thf(394,plain,
    ( ( ~ ( ~ ( ( sK7_SY57
               != ( ^ [SX0: a] : $false ) ) )
          | ~ ( ( sK7_SY57
               != ( ^ [SX0: a] : ~ $false ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[392]) ).

thf(395,plain,
    ( ( ~ ~ ( ~ ( ( sK5_Y
                  = ( ^ [SX0: a] : $false ) )
                | ( sK5_Y
                  = ( ^ [SX0: a] : ~ $false ) ) )
            | ~ ( ( sK6_SY48
                  = ( ^ [SX0: a] : $false ) )
                | ( sK6_SY48
                  = ( ^ [SX0: a] : ~ $false ) ) ) )
      | ( sK7_SY57
       != ( ^ [SX0: a] :
              ~ ( ~ ( sK5_Y @ SX0 )
                | ~ ( sK6_SY48 @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[393]) ).

thf(396,plain,
    ( ( ~ ( ( sK7_SY57
           != ( ^ [SX0: a] : $false ) ) )
      | ~ ( ( sK7_SY57
           != ( ^ [SX0: a] : ~ $false ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[394]) ).

thf(397,plain,
    ( ( ~ ~ ( ~ ( ( sK5_Y
                  = ( ^ [SX0: a] : $false ) )
                | ( sK5_Y
                  = ( ^ [SX0: a] : ~ $false ) ) )
            | ~ ( ( sK6_SY48
                  = ( ^ [SX0: a] : $false ) )
                | ( sK6_SY48
                  = ( ^ [SX0: a] : ~ $false ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[395]) ).

thf(398,plain,
    ( ( ( sK7_SY57
       != ( ^ [SX0: a] :
              ~ ( ~ ( sK5_Y @ SX0 )
                | ~ ( sK6_SY48 @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[395]) ).

thf(399,plain,
    ( ( ~ ( ( sK7_SY57
           != ( ^ [SX0: a] : $false ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[396]) ).

thf(400,plain,
    ( ( ~ ( ( sK7_SY57
           != ( ^ [SX0: a] : ~ $false ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[396]) ).

thf(401,plain,
    ( ( ~ ( ~ ( ( sK5_Y
                = ( ^ [SX0: a] : $false ) )
              | ( sK5_Y
                = ( ^ [SX0: a] : ~ $false ) ) )
          | ~ ( ( sK6_SY48
                = ( ^ [SX0: a] : $false ) )
              | ( sK6_SY48
                = ( ^ [SX0: a] : ~ $false ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[397]) ).

thf(402,plain,
    ( ( sK7_SY57
      = ( ^ [SX0: a] :
            ~ ( ~ ( sK5_Y @ SX0 )
              | ~ ( sK6_SY48 @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[398]) ).

thf(403,plain,
    ( ( ( sK7_SY57
       != ( ^ [SX0: a] : $false ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[399]) ).

thf(404,plain,
    ( ( ( sK7_SY57
       != ( ^ [SX0: a] : ~ $false ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[400]) ).

thf(405,plain,
    ( ( ~ ( ( sK5_Y
            = ( ^ [SX0: a] : $false ) )
          | ( sK5_Y
            = ( ^ [SX0: a] : ~ $false ) ) )
      | ~ ( ( sK6_SY48
            = ( ^ [SX0: a] : $false ) )
          | ( sK6_SY48
            = ( ^ [SX0: a] : ~ $false ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[401]) ).

thf(406,plain,
    ( ( ! [SV29: a] :
          ( ( sK7_SY57 @ SV29 )
          = ( ~ ( ~ ( sK5_Y @ SV29 )
                | ~ ( sK6_SY48 @ SV29 ) ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[402]) ).

thf(407,plain,
    ( ( sK7_SY57
      = ( ^ [SX0: a] :
            ~ ( ~ ( sK5_Y @ SX0 )
              | ~ ( sK6_SY48 @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_equal_pos,[status(thm)],[402]) ).

thf(408,plain,
    ( ( sK7_SY57
      = ( ^ [SX0: a] : $false ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[403]) ).

thf(409,plain,
    ( ( sK7_SY57
      = ( ^ [SX0: a] : ~ $false ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[404]) ).

thf(410,plain,
    ( ( ~ ( ( sK5_Y
            = ( ^ [SX0: a] : $false ) )
          | ( sK5_Y
            = ( ^ [SX0: a] : ~ $false ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[405]) ).

thf(411,plain,
    ( ( ~ ( ( sK6_SY48
            = ( ^ [SX0: a] : $false ) )
          | ( sK6_SY48
            = ( ^ [SX0: a] : ~ $false ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[405]) ).

thf(412,plain,
    ! [SV30: a] :
      ( ( ( sK7_SY57 @ SV30 )
        = ( ~ ( ~ ( sK5_Y @ SV30 )
              | ~ ( sK6_SY48 @ SV30 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[406]) ).

thf(413,plain,
    ( ( ! [SV31: a] :
          ( ( sK7_SY57 @ SV31 )
          = $false ) )
    = $false ),
    inference(extcnf_equal_neg,[status(thm)],[408]) ).

thf(414,plain,
    ( ( sK7_SY57
      = ( ^ [SX0: a] : $false ) )
    = $false ),
    inference(extcnf_equal_neg,[status(thm)],[408]) ).

thf(415,plain,
    ( ( ! [SV32: a] :
          ( ( sK7_SY57 @ SV32 )
          = ( ~ $false ) ) )
    = $false ),
    inference(extcnf_equal_neg,[status(thm)],[409]) ).

thf(416,plain,
    ( ( sK7_SY57
      = ( ^ [SX0: a] : ~ $false ) )
    = $false ),
    inference(extcnf_equal_neg,[status(thm)],[409]) ).

thf(417,plain,
    ( ( ( sK5_Y
        = ( ^ [SX0: a] : $false ) )
      | ( sK5_Y
        = ( ^ [SX0: a] : ~ $false ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[410]) ).

thf(418,plain,
    ( ( ( sK6_SY48
        = ( ^ [SX0: a] : $false ) )
      | ( sK6_SY48
        = ( ^ [SX0: a] : ~ $false ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[411]) ).

thf(419,plain,
    ! [SV30: a] :
      ( ( ~ ( ( sK7_SY57 @ SV30 )
            | ~ ( ~ ( sK5_Y @ SV30 )
                | ~ ( sK6_SY48 @ SV30 ) ) )
        | ~ ( ~ ( sK7_SY57 @ SV30 )
            | ~ ~ ( ~ ( sK5_Y @ SV30 )
                  | ~ ( sK6_SY48 @ SV30 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[412]) ).

thf(420,plain,
    ! [SV30: a] :
      ( ( ( sK7_SY57 @ SV30 )
        = ( ~ ( ~ ( sK5_Y @ SV30 )
              | ~ ( sK6_SY48 @ SV30 ) ) ) )
      = $true ),
    inference(extcnf_equal_pos,[status(thm)],[412]) ).

thf(421,plain,
    ( ( ( sK7_SY57 @ sK16_SV31 )
      = $false )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[413]) ).

thf(422,plain,
    ( ( ( sK7_SY57 @ sK17_SV32 )
      = ( ~ $false ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[415]) ).

thf(423,plain,
    ( ( ( sK5_Y
        = ( ^ [SX0: a] : $false ) )
      = $true )
    | ( ( sK5_Y
        = ( ^ [SX0: a] : ~ $false ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[417]) ).

thf(424,plain,
    ( ( ( sK6_SY48
        = ( ^ [SX0: a] : $false ) )
      = $true )
    | ( ( sK6_SY48
        = ( ^ [SX0: a] : ~ $false ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[418]) ).

thf(425,plain,
    ! [SV30: a] :
      ( ( ( ~ ( ( sK7_SY57 @ SV30 )
              | ~ ( ~ ( sK5_Y @ SV30 )
                  | ~ ( sK6_SY48 @ SV30 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK7_SY57 @ SV30 )
              | ~ ~ ( ~ ( sK5_Y @ SV30 )
                    | ~ ( sK6_SY48 @ SV30 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[419]) ).

thf(426,plain,
    ( ( ~ ( ( sK7_SY57 @ sK16_SV31 )
          | $false )
      | ~ ( ~ ( sK7_SY57 @ sK16_SV31 )
          | ~ $false ) )
    = $false ),
    inference(extcnf_equal_neg,[status(thm)],[421]) ).

thf(427,plain,
    ( ( ( sK7_SY57 @ sK16_SV31 )
      = $false )
    = $false ),
    inference(extcnf_equal_neg,[status(thm)],[421]) ).

thf(428,plain,
    ( ( ~ ( ( sK7_SY57 @ sK17_SV32 )
          | ~ $false )
      | ~ ( ~ ( sK7_SY57 @ sK17_SV32 )
          | ~ ~ $false ) )
    = $false ),
    inference(extcnf_equal_neg,[status(thm)],[422]) ).

thf(429,plain,
    ( ( ( sK7_SY57 @ sK17_SV32 )
      = ( ~ $false ) )
    = $false ),
    inference(extcnf_equal_neg,[status(thm)],[422]) ).

thf(430,plain,
    ( ( ( ! [SV33: a] :
            ( ( sK5_Y @ SV33 )
            = $false ) )
      = $true )
    | ( ( sK5_Y
        = ( ^ [SX0: a] : ~ $false ) )
      = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[423]) ).

thf(431,plain,
    ( ( ( sK5_Y
        = ( ^ [SX0: a] : $false ) )
      = $true )
    | ( ( sK5_Y
        = ( ^ [SX0: a] : ~ $false ) )
      = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[423]) ).

thf(432,plain,
    ( ( ( ! [SV34: a] :
            ( ( sK6_SY48 @ SV34 )
            = $false ) )
      = $true )
    | ( ( sK6_SY48
        = ( ^ [SX0: a] : ~ $false ) )
      = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[424]) ).

thf(433,plain,
    ( ( ( sK6_SY48
        = ( ^ [SX0: a] : $false ) )
      = $true )
    | ( ( sK6_SY48
        = ( ^ [SX0: a] : ~ $false ) )
      = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[424]) ).

thf(434,plain,
    ! [SV30: a] :
      ( ( ( ( sK7_SY57 @ SV30 )
          | ~ ( ~ ( sK5_Y @ SV30 )
              | ~ ( sK6_SY48 @ SV30 ) ) )
        = $false )
      | ( ( ~ ( ~ ( sK7_SY57 @ SV30 )
              | ~ ~ ( ~ ( sK5_Y @ SV30 )
                    | ~ ( sK6_SY48 @ SV30 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[425]) ).

thf(435,plain,
    ( ( ~ ( ( sK7_SY57 @ sK16_SV31 )
          | $false ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[426]) ).

thf(436,plain,
    ( ( ~ ( ~ ( sK7_SY57 @ sK16_SV31 )
          | ~ $false ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[426]) ).

thf(437,plain,
    ( ( ~ ( ( sK7_SY57 @ sK17_SV32 )
          | ~ $false ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[428]) ).

thf(438,plain,
    ( ( ~ ( ~ ( sK7_SY57 @ sK17_SV32 )
          | ~ ~ $false ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[428]) ).

thf(439,plain,
    ! [SV35: a] :
      ( ( ( ( sK5_Y @ SV35 )
          = $false )
        = $true )
      | ( ( sK5_Y
          = ( ^ [SX0: a] : ~ $false ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[430]) ).

thf(440,plain,
    ( ( ( ! [SV36: a] :
            ( ( sK5_Y @ SV36 )
            = ( ~ $false ) ) )
      = $true )
    | ( ( sK5_Y
        = ( ^ [SX0: a] : $false ) )
      = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[431]) ).

thf(441,plain,
    ( ( ( sK5_Y
        = ( ^ [SX0: a] : ~ $false ) )
      = $true )
    | ( ( sK5_Y
        = ( ^ [SX0: a] : $false ) )
      = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[431]) ).

thf(442,plain,
    ! [SV37: a] :
      ( ( ( ( sK6_SY48 @ SV37 )
          = $false )
        = $true )
      | ( ( sK6_SY48
          = ( ^ [SX0: a] : ~ $false ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[432]) ).

thf(443,plain,
    ( ( ( ! [SV38: a] :
            ( ( sK6_SY48 @ SV38 )
            = ( ~ $false ) ) )
      = $true )
    | ( ( sK6_SY48
        = ( ^ [SX0: a] : $false ) )
      = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[433]) ).

thf(444,plain,
    ( ( ( sK6_SY48
        = ( ^ [SX0: a] : ~ $false ) )
      = $true )
    | ( ( sK6_SY48
        = ( ^ [SX0: a] : $false ) )
      = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[433]) ).

thf(445,plain,
    ! [SV30: a] :
      ( ( ( sK7_SY57 @ SV30 )
        = $false )
      | ( ( ~ ( ~ ( sK7_SY57 @ SV30 )
              | ~ ~ ( ~ ( sK5_Y @ SV30 )
                    | ~ ( sK6_SY48 @ SV30 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[434]) ).

thf(446,plain,
    ! [SV30: a] :
      ( ( ( ~ ( ~ ( sK5_Y @ SV30 )
              | ~ ( sK6_SY48 @ SV30 ) ) )
        = $false )
      | ( ( ~ ( ~ ( sK7_SY57 @ SV30 )
              | ~ ~ ( ~ ( sK5_Y @ SV30 )
                    | ~ ( sK6_SY48 @ SV30 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[434]) ).

thf(447,plain,
    ( ( ( sK7_SY57 @ sK16_SV31 )
      | $false )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[435]) ).

thf(448,plain,
    ( ( ~ ( sK7_SY57 @ sK16_SV31 )
      | ~ $false )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[436]) ).

thf(449,plain,
    ( ( ( sK7_SY57 @ sK17_SV32 )
      | ~ $false )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[437]) ).

thf(450,plain,
    ( ( ~ ( sK7_SY57 @ sK17_SV32 )
      | ~ ~ $false )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[438]) ).

thf(451,plain,
    ! [SV35: a] :
      ( ( ( ~ ( ( sK5_Y @ SV35 )
              | $false )
          | ~ ( ~ ( sK5_Y @ SV35 )
              | ~ $false ) )
        = $true )
      | ( ( sK5_Y
          = ( ^ [SX0: a] : ~ $false ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[439]) ).

thf(452,plain,
    ! [SV35: a] :
      ( ( ( ( sK5_Y @ SV35 )
          = $false )
        = $true )
      | ( ( sK5_Y
          = ( ^ [SX0: a] : ~ $false ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[439]) ).

thf(453,plain,
    ! [SV39: a] :
      ( ( ( ( sK5_Y @ SV39 )
          = ( ~ $false ) )
        = $true )
      | ( ( sK5_Y
          = ( ^ [SX0: a] : $false ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[440]) ).

thf(454,plain,
    ! [SV37: a] :
      ( ( ( ~ ( ( sK6_SY48 @ SV37 )
              | $false )
          | ~ ( ~ ( sK6_SY48 @ SV37 )
              | ~ $false ) )
        = $true )
      | ( ( sK6_SY48
          = ( ^ [SX0: a] : ~ $false ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[442]) ).

thf(455,plain,
    ! [SV37: a] :
      ( ( ( ( sK6_SY48 @ SV37 )
          = $false )
        = $true )
      | ( ( sK6_SY48
          = ( ^ [SX0: a] : ~ $false ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[442]) ).

thf(456,plain,
    ! [SV40: a] :
      ( ( ( ( sK6_SY48 @ SV40 )
          = ( ~ $false ) )
        = $true )
      | ( ( sK6_SY48
          = ( ^ [SX0: a] : $false ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[443]) ).

thf(457,plain,
    ! [SV30: a] :
      ( ( ( ~ ( sK7_SY57 @ SV30 )
          | ~ ~ ( ~ ( sK5_Y @ SV30 )
                | ~ ( sK6_SY48 @ SV30 ) ) )
        = $false )
      | ( ( sK7_SY57 @ SV30 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[445]) ).

thf(458,plain,
    ! [SV30: a] :
      ( ( ( ~ ( sK5_Y @ SV30 )
          | ~ ( sK6_SY48 @ SV30 ) )
        = $true )
      | ( ( ~ ( ~ ( sK7_SY57 @ SV30 )
              | ~ ~ ( ~ ( sK5_Y @ SV30 )
                    | ~ ( sK6_SY48 @ SV30 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[446]) ).

thf(459,plain,
    ( ( ( sK7_SY57 @ sK16_SV31 )
      = $true )
    | ( $false = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[447]) ).

thf(460,plain,
    ( ( ( ~ ( sK7_SY57 @ sK16_SV31 ) )
      = $true )
    | ( ( ~ $false )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[448]) ).

thf(461,plain,
    ( ( ( sK7_SY57 @ sK17_SV32 )
      = $true )
    | ( ( ~ $false )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[449]) ).

thf(462,plain,
    ( ( ( ~ ( sK7_SY57 @ sK17_SV32 ) )
      = $true )
    | ( ( ~ ~ $false )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[450]) ).

thf(463,plain,
    ! [SV35: a] :
      ( ( ( ~ ( ( sK5_Y @ SV35 )
              | $false ) )
        = $true )
      | ( ( ~ ( ~ ( sK5_Y @ SV35 )
              | ~ $false ) )
        = $true )
      | ( ( sK5_Y
          = ( ^ [SX0: a] : ~ $false ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[451]) ).

thf(464,plain,
    ! [SV35: a] :
      ( ( ( ! [SV41: a] :
              ( ( sK5_Y @ SV41 )
              = ( ~ $false ) ) )
        = $true )
      | ( ( ( sK5_Y @ SV35 )
          = $false )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[452]) ).

thf(465,plain,
    ! [SV35: a] :
      ( ( ( sK5_Y
          = ( ^ [SX0: a] : ~ $false ) )
        = $true )
      | ( ( ( sK5_Y @ SV35 )
          = $false )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[452]) ).

thf(466,plain,
    ! [SV39: a] :
      ( ( ( ~ ( ( sK5_Y @ SV39 )
              | ~ $false )
          | ~ ( ~ ( sK5_Y @ SV39 )
              | ~ ~ $false ) )
        = $true )
      | ( ( sK5_Y
          = ( ^ [SX0: a] : $false ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[453]) ).

thf(467,plain,
    ! [SV39: a] :
      ( ( ( ( sK5_Y @ SV39 )
          = ( ~ $false ) )
        = $true )
      | ( ( sK5_Y
          = ( ^ [SX0: a] : $false ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[453]) ).

thf(468,plain,
    ! [SV37: a] :
      ( ( ( ~ ( ( sK6_SY48 @ SV37 )
              | $false ) )
        = $true )
      | ( ( ~ ( ~ ( sK6_SY48 @ SV37 )
              | ~ $false ) )
        = $true )
      | ( ( sK6_SY48
          = ( ^ [SX0: a] : ~ $false ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[454]) ).

thf(469,plain,
    ! [SV37: a] :
      ( ( ( ! [SV42: a] :
              ( ( sK6_SY48 @ SV42 )
              = ( ~ $false ) ) )
        = $true )
      | ( ( ( sK6_SY48 @ SV37 )
          = $false )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[455]) ).

thf(470,plain,
    ! [SV37: a] :
      ( ( ( sK6_SY48
          = ( ^ [SX0: a] : ~ $false ) )
        = $true )
      | ( ( ( sK6_SY48 @ SV37 )
          = $false )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[455]) ).

thf(471,plain,
    ! [SV40: a] :
      ( ( ( ~ ( ( sK6_SY48 @ SV40 )
              | ~ $false )
          | ~ ( ~ ( sK6_SY48 @ SV40 )
              | ~ ~ $false ) )
        = $true )
      | ( ( sK6_SY48
          = ( ^ [SX0: a] : $false ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[456]) ).

thf(472,plain,
    ! [SV40: a] :
      ( ( ( ( sK6_SY48 @ SV40 )
          = ( ~ $false ) )
        = $true )
      | ( ( sK6_SY48
          = ( ^ [SX0: a] : $false ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[456]) ).

thf(473,plain,
    ! [SV30: a] :
      ( ( ( ~ ( sK7_SY57 @ SV30 ) )
        = $false )
      | ( ( sK7_SY57 @ SV30 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[457]) ).

thf(474,plain,
    ! [SV30: a] :
      ( ( ( ~ ~ ( ~ ( sK5_Y @ SV30 )
                | ~ ( sK6_SY48 @ SV30 ) ) )
        = $false )
      | ( ( sK7_SY57 @ SV30 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[457]) ).

thf(475,plain,
    ! [SV30: a] :
      ( ( ( ~ ( sK5_Y @ SV30 ) )
        = $true )
      | ( ( ~ ( sK6_SY48 @ SV30 ) )
        = $true )
      | ( ( ~ ( ~ ( sK7_SY57 @ SV30 )
              | ~ ~ ( ~ ( sK5_Y @ SV30 )
                    | ~ ( sK6_SY48 @ SV30 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[458]) ).

thf(476,plain,
    ( ( ( sK7_SY57 @ sK16_SV31 )
      = $false )
    | ( ( ~ $false )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[460]) ).

thf(477,plain,
    ( ( $false = $false )
    | ( ( sK7_SY57 @ sK17_SV32 )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[461]) ).

thf(478,plain,
    ( ( ( sK7_SY57 @ sK17_SV32 )
      = $false )
    | ( ( ~ ~ $false )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[462]) ).

thf(479,plain,
    ! [SV35: a] :
      ( ( ( ( sK5_Y @ SV35 )
          | $false )
        = $false )
      | ( ( ~ ( ~ ( sK5_Y @ SV35 )
              | ~ $false ) )
        = $true )
      | ( ( sK5_Y
          = ( ^ [SX0: a] : ~ $false ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[463]) ).

thf(480,plain,
    ! [SV35: a,SV43: a] :
      ( ( ( ( sK5_Y @ SV43 )
          = ( ~ $false ) )
        = $true )
      | ( ( ( sK5_Y @ SV35 )
          = $false )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[464]) ).

thf(481,plain,
    ! [SV39: a] :
      ( ( ( ~ ( ( sK5_Y @ SV39 )
              | ~ $false ) )
        = $true )
      | ( ( ~ ( ~ ( sK5_Y @ SV39 )
              | ~ ~ $false ) )
        = $true )
      | ( ( sK5_Y
          = ( ^ [SX0: a] : $false ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[466]) ).

thf(482,plain,
    ! [SV37: a] :
      ( ( ( ( sK6_SY48 @ SV37 )
          | $false )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY48 @ SV37 )
              | ~ $false ) )
        = $true )
      | ( ( sK6_SY48
          = ( ^ [SX0: a] : ~ $false ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[468]) ).

thf(483,plain,
    ! [SV37: a,SV44: a] :
      ( ( ( ( sK6_SY48 @ SV44 )
          = ( ~ $false ) )
        = $true )
      | ( ( ( sK6_SY48 @ SV37 )
          = $false )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[469]) ).

thf(484,plain,
    ! [SV40: a] :
      ( ( ( ~ ( ( sK6_SY48 @ SV40 )
              | ~ $false ) )
        = $true )
      | ( ( ~ ( ~ ( sK6_SY48 @ SV40 )
              | ~ ~ $false ) )
        = $true )
      | ( ( sK6_SY48
          = ( ^ [SX0: a] : $false ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[471]) ).

thf(485,plain,
    ! [SV30: a] :
      ( ( ( sK7_SY57 @ SV30 )
        = $true )
      | ( ( sK7_SY57 @ SV30 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[473]) ).

thf(486,plain,
    ! [SV30: a] :
      ( ( ( ~ ( ~ ( sK5_Y @ SV30 )
              | ~ ( sK6_SY48 @ SV30 ) ) )
        = $true )
      | ( ( sK7_SY57 @ SV30 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[474]) ).

thf(487,plain,
    ! [SV30: a] :
      ( ( ( sK5_Y @ SV30 )
        = $false )
      | ( ( ~ ( sK6_SY48 @ SV30 ) )
        = $true )
      | ( ( ~ ( ~ ( sK7_SY57 @ SV30 )
              | ~ ~ ( ~ ( sK5_Y @ SV30 )
                    | ~ ( sK6_SY48 @ SV30 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[475]) ).

thf(488,plain,
    ( ( $false = $false )
    | ( ( sK7_SY57 @ sK16_SV31 )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[476]) ).

thf(489,plain,
    ( ( ( ~ $false )
      = $false )
    | ( ( sK7_SY57 @ sK17_SV32 )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[478]) ).

thf(490,plain,
    ! [SV35: a] :
      ( ( ( sK5_Y @ SV35 )
        = $false )
      | ( ( ~ ( ~ ( sK5_Y @ SV35 )
              | ~ $false ) )
        = $true )
      | ( ( sK5_Y
          = ( ^ [SX0: a] : ~ $false ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[479]) ).

thf(491,plain,
    ! [SV35: a] :
      ( ( $false = $false )
      | ( ( ~ ( ~ ( sK5_Y @ SV35 )
              | ~ $false ) )
        = $true )
      | ( ( sK5_Y
          = ( ^ [SX0: a] : ~ $false ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[479]) ).

thf(492,plain,
    ! [SV35: a,SV43: a] :
      ( ( ( ~ ( ( sK5_Y @ SV43 )
              | ~ $false )
          | ~ ( ~ ( sK5_Y @ SV43 )
              | ~ ~ $false ) )
        = $true )
      | ( ( ( sK5_Y @ SV35 )
          = $false )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[480]) ).

thf(493,plain,
    ! [SV35: a,SV43: a] :
      ( ( ( ( sK5_Y @ SV43 )
          = ( ~ $false ) )
        = $true )
      | ( ( ( sK5_Y @ SV35 )
          = $false )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[480]) ).

thf(494,plain,
    ! [SV39: a] :
      ( ( ( ( sK5_Y @ SV39 )
          | ~ $false )
        = $false )
      | ( ( ~ ( ~ ( sK5_Y @ SV39 )
              | ~ ~ $false ) )
        = $true )
      | ( ( sK5_Y
          = ( ^ [SX0: a] : $false ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[481]) ).

thf(495,plain,
    ! [SV37: a] :
      ( ( ( sK6_SY48 @ SV37 )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY48 @ SV37 )
              | ~ $false ) )
        = $true )
      | ( ( sK6_SY48
          = ( ^ [SX0: a] : ~ $false ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[482]) ).

thf(496,plain,
    ! [SV37: a] :
      ( ( $false = $false )
      | ( ( ~ ( ~ ( sK6_SY48 @ SV37 )
              | ~ $false ) )
        = $true )
      | ( ( sK6_SY48
          = ( ^ [SX0: a] : ~ $false ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[482]) ).

thf(497,plain,
    ! [SV37: a,SV44: a] :
      ( ( ( ~ ( ( sK6_SY48 @ SV44 )
              | ~ $false )
          | ~ ( ~ ( sK6_SY48 @ SV44 )
              | ~ ~ $false ) )
        = $true )
      | ( ( ( sK6_SY48 @ SV37 )
          = $false )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[483]) ).

thf(498,plain,
    ! [SV37: a,SV44: a] :
      ( ( ( ( sK6_SY48 @ SV44 )
          = ( ~ $false ) )
        = $true )
      | ( ( ( sK6_SY48 @ SV37 )
          = $false )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[483]) ).

thf(499,plain,
    ! [SV40: a] :
      ( ( ( ( sK6_SY48 @ SV40 )
          | ~ $false )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY48 @ SV40 )
              | ~ ~ $false ) )
        = $true )
      | ( ( sK6_SY48
          = ( ^ [SX0: a] : $false ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[484]) ).

thf(500,plain,
    ! [SV30: a] :
      ( ( ( ~ ( sK5_Y @ SV30 )
          | ~ ( sK6_SY48 @ SV30 ) )
        = $false )
      | ( ( sK7_SY57 @ SV30 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[486]) ).

thf(501,plain,
    ! [SV30: a] :
      ( ( ( sK6_SY48 @ SV30 )
        = $false )
      | ( ( sK5_Y @ SV30 )
        = $false )
      | ( ( ~ ( ~ ( sK7_SY57 @ SV30 )
              | ~ ~ ( ~ ( sK5_Y @ SV30 )
                    | ~ ( sK6_SY48 @ SV30 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[487]) ).

thf(502,plain,
    ( ( $false = $true )
    | ( ( sK7_SY57 @ sK17_SV32 )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[489]) ).

thf(503,plain,
    ! [SV35: a] :
      ( ( ( ~ ( sK5_Y @ SV35 )
          | ~ $false )
        = $false )
      | ( ( sK5_Y @ SV35 )
        = $false )
      | ( ( sK5_Y
          = ( ^ [SX0: a] : ~ $false ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[490]) ).

thf(504,plain,
    ! [SV35: a] :
      ( ( ( ~ ( sK5_Y @ SV35 )
          | ~ $false )
        = $false )
      | ( $false = $false )
      | ( ( sK5_Y
          = ( ^ [SX0: a] : ~ $false ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[491]) ).

thf(505,plain,
    ! [SV35: a,SV43: a] :
      ( ( ( ~ ( ( sK5_Y @ SV43 )
              | ~ $false ) )
        = $true )
      | ( ( ~ ( ~ ( sK5_Y @ SV43 )
              | ~ ~ $false ) )
        = $true )
      | ( ( ( sK5_Y @ SV35 )
          = $false )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[492]) ).

thf(506,plain,
    ! [SV39: a] :
      ( ( ( sK5_Y @ SV39 )
        = $false )
      | ( ( ~ ( ~ ( sK5_Y @ SV39 )
              | ~ ~ $false ) )
        = $true )
      | ( ( sK5_Y
          = ( ^ [SX0: a] : $false ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[494]) ).

thf(507,plain,
    ! [SV39: a] :
      ( ( ( ~ $false )
        = $false )
      | ( ( ~ ( ~ ( sK5_Y @ SV39 )
              | ~ ~ $false ) )
        = $true )
      | ( ( sK5_Y
          = ( ^ [SX0: a] : $false ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[494]) ).

thf(508,plain,
    ! [SV37: a] :
      ( ( ( ~ ( sK6_SY48 @ SV37 )
          | ~ $false )
        = $false )
      | ( ( sK6_SY48 @ SV37 )
        = $false )
      | ( ( sK6_SY48
          = ( ^ [SX0: a] : ~ $false ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[495]) ).

thf(509,plain,
    ! [SV37: a] :
      ( ( ( ~ ( sK6_SY48 @ SV37 )
          | ~ $false )
        = $false )
      | ( $false = $false )
      | ( ( sK6_SY48
          = ( ^ [SX0: a] : ~ $false ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[496]) ).

thf(510,plain,
    ! [SV37: a,SV44: a] :
      ( ( ( ~ ( ( sK6_SY48 @ SV44 )
              | ~ $false ) )
        = $true )
      | ( ( ~ ( ~ ( sK6_SY48 @ SV44 )
              | ~ ~ $false ) )
        = $true )
      | ( ( ( sK6_SY48 @ SV37 )
          = $false )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[497]) ).

thf(511,plain,
    ! [SV40: a] :
      ( ( ( sK6_SY48 @ SV40 )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY48 @ SV40 )
              | ~ ~ $false ) )
        = $true )
      | ( ( sK6_SY48
          = ( ^ [SX0: a] : $false ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[499]) ).

thf(512,plain,
    ! [SV40: a] :
      ( ( ( ~ $false )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY48 @ SV40 )
              | ~ ~ $false ) )
        = $true )
      | ( ( sK6_SY48
          = ( ^ [SX0: a] : $false ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[499]) ).

thf(513,plain,
    ! [SV30: a] :
      ( ( ( ~ ( sK5_Y @ SV30 ) )
        = $false )
      | ( ( sK7_SY57 @ SV30 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[500]) ).

thf(514,plain,
    ! [SV30: a] :
      ( ( ( ~ ( sK6_SY48 @ SV30 ) )
        = $false )
      | ( ( sK7_SY57 @ SV30 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[500]) ).

thf(515,plain,
    ! [SV30: a] :
      ( ( ( ~ ( sK7_SY57 @ SV30 )
          | ~ ~ ( ~ ( sK5_Y @ SV30 )
                | ~ ( sK6_SY48 @ SV30 ) ) )
        = $false )
      | ( ( sK5_Y @ SV30 )
        = $false )
      | ( ( sK6_SY48 @ SV30 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[501]) ).

thf(516,plain,
    ! [SV35: a] :
      ( ( ( ~ ( sK5_Y @ SV35 ) )
        = $false )
      | ( ( sK5_Y @ SV35 )
        = $false )
      | ( ( sK5_Y
          = ( ^ [SX0: a] : ~ $false ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[503]) ).

thf(517,plain,
    ! [SV35: a] :
      ( ( ( ~ $false )
        = $false )
      | ( ( sK5_Y @ SV35 )
        = $false )
      | ( ( sK5_Y
          = ( ^ [SX0: a] : ~ $false ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[503]) ).

thf(518,plain,
    ! [SV35: a] :
      ( ( ( ~ ( sK5_Y @ SV35 ) )
        = $false )
      | ( $false = $false )
      | ( ( sK5_Y
          = ( ^ [SX0: a] : ~ $false ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[504]) ).

thf(519,plain,
    ( ( ( ~ $false )
      = $false )
    | ( $false = $false )
    | ( ( sK5_Y
        = ( ^ [SX0: a] : ~ $false ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[504]) ).

thf(520,plain,
    ! [SV35: a,SV43: a] :
      ( ( ( ( sK5_Y @ SV43 )
          | ~ $false )
        = $false )
      | ( ( ~ ( ~ ( sK5_Y @ SV43 )
              | ~ ~ $false ) )
        = $true )
      | ( ( ( sK5_Y @ SV35 )
          = $false )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[505]) ).

thf(521,plain,
    ! [SV39: a] :
      ( ( ( ~ ( sK5_Y @ SV39 )
          | ~ ~ $false )
        = $false )
      | ( ( sK5_Y @ SV39 )
        = $false )
      | ( ( sK5_Y
          = ( ^ [SX0: a] : $false ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[506]) ).

thf(522,plain,
    ! [SV39: a] :
      ( ( $false = $true )
      | ( ( ~ ( ~ ( sK5_Y @ SV39 )
              | ~ ~ $false ) )
        = $true )
      | ( ( sK5_Y
          = ( ^ [SX0: a] : $false ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[507]) ).

thf(523,plain,
    ! [SV37: a] :
      ( ( ( ~ ( sK6_SY48 @ SV37 ) )
        = $false )
      | ( ( sK6_SY48 @ SV37 )
        = $false )
      | ( ( sK6_SY48
          = ( ^ [SX0: a] : ~ $false ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[508]) ).

thf(524,plain,
    ! [SV37: a] :
      ( ( ( ~ $false )
        = $false )
      | ( ( sK6_SY48 @ SV37 )
        = $false )
      | ( ( sK6_SY48
          = ( ^ [SX0: a] : ~ $false ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[508]) ).

thf(525,plain,
    ! [SV37: a] :
      ( ( ( ~ ( sK6_SY48 @ SV37 ) )
        = $false )
      | ( $false = $false )
      | ( ( sK6_SY48
          = ( ^ [SX0: a] : ~ $false ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[509]) ).

thf(526,plain,
    ( ( ( ~ $false )
      = $false )
    | ( $false = $false )
    | ( ( sK6_SY48
        = ( ^ [SX0: a] : ~ $false ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[509]) ).

thf(527,plain,
    ! [SV37: a,SV44: a] :
      ( ( ( ( sK6_SY48 @ SV44 )
          | ~ $false )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY48 @ SV44 )
              | ~ ~ $false ) )
        = $true )
      | ( ( ( sK6_SY48 @ SV37 )
          = $false )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[510]) ).

thf(528,plain,
    ! [SV40: a] :
      ( ( ( ~ ( sK6_SY48 @ SV40 )
          | ~ ~ $false )
        = $false )
      | ( ( sK6_SY48 @ SV40 )
        = $false )
      | ( ( sK6_SY48
          = ( ^ [SX0: a] : $false ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[511]) ).

thf(529,plain,
    ! [SV40: a] :
      ( ( $false = $true )
      | ( ( ~ ( ~ ( sK6_SY48 @ SV40 )
              | ~ ~ $false ) )
        = $true )
      | ( ( sK6_SY48
          = ( ^ [SX0: a] : $false ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[512]) ).

thf(530,plain,
    ! [SV30: a] :
      ( ( ( sK5_Y @ SV30 )
        = $true )
      | ( ( sK7_SY57 @ SV30 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[513]) ).

thf(531,plain,
    ! [SV30: a] :
      ( ( ( sK6_SY48 @ SV30 )
        = $true )
      | ( ( sK7_SY57 @ SV30 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[514]) ).

thf(532,plain,
    ! [SV30: a] :
      ( ( ( ~ ( sK7_SY57 @ SV30 ) )
        = $false )
      | ( ( sK5_Y @ SV30 )
        = $false )
      | ( ( sK6_SY48 @ SV30 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[515]) ).

thf(533,plain,
    ! [SV30: a] :
      ( ( ( ~ ~ ( ~ ( sK5_Y @ SV30 )
                | ~ ( sK6_SY48 @ SV30 ) ) )
        = $false )
      | ( ( sK5_Y @ SV30 )
        = $false )
      | ( ( sK6_SY48 @ SV30 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[515]) ).

thf(534,plain,
    ! [SV35: a] :
      ( ( ( sK5_Y @ SV35 )
        = $true )
      | ( ( sK5_Y @ SV35 )
        = $false )
      | ( ( sK5_Y
          = ( ^ [SX0: a] : ~ $false ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[516]) ).

thf(535,plain,
    ! [SV35: a] :
      ( ( $false = $true )
      | ( ( sK5_Y @ SV35 )
        = $false )
      | ( ( sK5_Y
          = ( ^ [SX0: a] : ~ $false ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[517]) ).

thf(536,plain,
    ! [SV35: a] :
      ( ( ( sK5_Y @ SV35 )
        = $true )
      | ( $false = $false )
      | ( ( sK5_Y
          = ( ^ [SX0: a] : ~ $false ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[518]) ).

thf(537,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( ( sK5_Y
        = ( ^ [SX0: a] : ~ $false ) )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[519]) ).

thf(538,plain,
    ! [SV35: a,SV43: a] :
      ( ( ( sK5_Y @ SV43 )
        = $false )
      | ( ( ~ ( ~ ( sK5_Y @ SV43 )
              | ~ ~ $false ) )
        = $true )
      | ( ( ( sK5_Y @ SV35 )
          = $false )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[520]) ).

thf(539,plain,
    ! [SV35: a,SV43: a] :
      ( ( ( ~ $false )
        = $false )
      | ( ( ~ ( ~ ( sK5_Y @ SV43 )
              | ~ ~ $false ) )
        = $true )
      | ( ( ( sK5_Y @ SV35 )
          = $false )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[520]) ).

thf(540,plain,
    ! [SV39: a] :
      ( ( ( ~ ( sK5_Y @ SV39 ) )
        = $false )
      | ( ( sK5_Y @ SV39 )
        = $false )
      | ( ( sK5_Y
          = ( ^ [SX0: a] : $false ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[521]) ).

thf(541,plain,
    ! [SV39: a] :
      ( ( ( ~ ~ $false )
        = $false )
      | ( ( sK5_Y @ SV39 )
        = $false )
      | ( ( sK5_Y
          = ( ^ [SX0: a] : $false ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[521]) ).

thf(542,plain,
    ! [SV39: a] :
      ( ( ( ~ ( sK5_Y @ SV39 )
          | ~ ~ $false )
        = $false )
      | ( $false = $true )
      | ( ( sK5_Y
          = ( ^ [SX0: a] : $false ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[522]) ).

thf(543,plain,
    ! [SV37: a] :
      ( ( ( sK6_SY48 @ SV37 )
        = $true )
      | ( ( sK6_SY48 @ SV37 )
        = $false )
      | ( ( sK6_SY48
          = ( ^ [SX0: a] : ~ $false ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[523]) ).

thf(544,plain,
    ! [SV37: a] :
      ( ( $false = $true )
      | ( ( sK6_SY48 @ SV37 )
        = $false )
      | ( ( sK6_SY48
          = ( ^ [SX0: a] : ~ $false ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[524]) ).

thf(545,plain,
    ! [SV37: a] :
      ( ( ( sK6_SY48 @ SV37 )
        = $true )
      | ( $false = $false )
      | ( ( sK6_SY48
          = ( ^ [SX0: a] : ~ $false ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[525]) ).

thf(546,plain,
    ( ( $false = $true )
    | ( $false = $false )
    | ( ( sK6_SY48
        = ( ^ [SX0: a] : ~ $false ) )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[526]) ).

thf(547,plain,
    ! [SV37: a,SV44: a] :
      ( ( ( sK6_SY48 @ SV44 )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY48 @ SV44 )
              | ~ ~ $false ) )
        = $true )
      | ( ( ( sK6_SY48 @ SV37 )
          = $false )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[527]) ).

thf(548,plain,
    ! [SV37: a,SV44: a] :
      ( ( ( ~ $false )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY48 @ SV44 )
              | ~ ~ $false ) )
        = $true )
      | ( ( ( sK6_SY48 @ SV37 )
          = $false )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[527]) ).

thf(549,plain,
    ! [SV40: a] :
      ( ( ( ~ ( sK6_SY48 @ SV40 ) )
        = $false )
      | ( ( sK6_SY48 @ SV40 )
        = $false )
      | ( ( sK6_SY48
          = ( ^ [SX0: a] : $false ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[528]) ).

thf(550,plain,
    ! [SV40: a] :
      ( ( ( ~ ~ $false )
        = $false )
      | ( ( sK6_SY48 @ SV40 )
        = $false )
      | ( ( sK6_SY48
          = ( ^ [SX0: a] : $false ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[528]) ).

thf(551,plain,
    ! [SV40: a] :
      ( ( ( ~ ( sK6_SY48 @ SV40 )
          | ~ ~ $false )
        = $false )
      | ( $false = $true )
      | ( ( sK6_SY48
          = ( ^ [SX0: a] : $false ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[529]) ).

thf(552,plain,
    ! [SV30: a] :
      ( ( ( sK7_SY57 @ SV30 )
        = $true )
      | ( ( sK5_Y @ SV30 )
        = $false )
      | ( ( sK6_SY48 @ SV30 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[532]) ).

thf(553,plain,
    ! [SV30: a] :
      ( ( ( ~ ( ~ ( sK5_Y @ SV30 )
              | ~ ( sK6_SY48 @ SV30 ) ) )
        = $true )
      | ( ( sK5_Y @ SV30 )
        = $false )
      | ( ( sK6_SY48 @ SV30 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[533]) ).

thf(554,plain,
    ! [SV35: a] :
      ( ( ( ! [SV45: a] :
              ( ( sK5_Y @ SV45 )
              = ( ~ $false ) ) )
        = $true )
      | ( ( sK5_Y @ SV35 )
        = $false )
      | ( ( sK5_Y @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[534]) ).

thf(555,plain,
    ! [SV35: a] :
      ( ( ( sK5_Y
          = ( ^ [SX0: a] : ~ $false ) )
        = $true )
      | ( ( sK5_Y @ SV35 )
        = $false )
      | ( ( sK5_Y @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[534]) ).

thf(556,plain,
    ! [SV35: a] :
      ( ( ( ! [SV46: a] :
              ( ( sK5_Y @ SV46 )
              = ( ~ $false ) ) )
        = $true )
      | ( ( sK5_Y @ SV35 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[535]) ).

thf(557,plain,
    ! [SV35: a] :
      ( ( ( sK5_Y
          = ( ^ [SX0: a] : ~ $false ) )
        = $true )
      | ( ( sK5_Y @ SV35 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[535]) ).

thf(558,plain,
    ! [SV35: a] :
      ( ( ( ! [SV47: a] :
              ( ( sK5_Y @ SV47 )
              = ( ~ $false ) ) )
        = $true )
      | ( $false = $false )
      | ( ( sK5_Y @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[536]) ).

thf(559,plain,
    ! [SV35: a] :
      ( ( ( sK5_Y
          = ( ^ [SX0: a] : ~ $false ) )
        = $true )
      | ( $false = $false )
      | ( ( sK5_Y @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[536]) ).

thf(560,plain,
    ( ( ( ! [SV48: a] :
            ( ( sK5_Y @ SV48 )
            = ( ~ $false ) ) )
      = $true )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[537]) ).

thf(561,plain,
    ( ( ( sK5_Y
        = ( ^ [SX0: a] : ~ $false ) )
      = $true )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[537]) ).

thf(562,plain,
    ! [SV35: a,SV43: a] :
      ( ( ( ~ ( sK5_Y @ SV43 )
          | ~ ~ $false )
        = $false )
      | ( ( sK5_Y @ SV43 )
        = $false )
      | ( ( ( sK5_Y @ SV35 )
          = $false )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[538]) ).

thf(563,plain,
    ! [SV35: a,SV43: a] :
      ( ( $false = $true )
      | ( ( ~ ( ~ ( sK5_Y @ SV43 )
              | ~ ~ $false ) )
        = $true )
      | ( ( ( sK5_Y @ SV35 )
          = $false )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[539]) ).

thf(564,plain,
    ! [SV39: a] :
      ( ( ( sK5_Y @ SV39 )
        = $true )
      | ( ( sK5_Y @ SV39 )
        = $false )
      | ( ( sK5_Y
          = ( ^ [SX0: a] : $false ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[540]) ).

thf(565,plain,
    ! [SV39: a] :
      ( ( ( ~ $false )
        = $true )
      | ( ( sK5_Y @ SV39 )
        = $false )
      | ( ( sK5_Y
          = ( ^ [SX0: a] : $false ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[541]) ).

thf(566,plain,
    ! [SV39: a] :
      ( ( ( ~ ( sK5_Y @ SV39 ) )
        = $false )
      | ( $false = $true )
      | ( ( sK5_Y
          = ( ^ [SX0: a] : $false ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[542]) ).

thf(567,plain,
    ( ( ( ~ ~ $false )
      = $false )
    | ( $false = $true )
    | ( ( sK5_Y
        = ( ^ [SX0: a] : $false ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[542]) ).

thf(568,plain,
    ! [SV37: a] :
      ( ( ( ! [SV49: a] :
              ( ( sK6_SY48 @ SV49 )
              = ( ~ $false ) ) )
        = $true )
      | ( ( sK6_SY48 @ SV37 )
        = $false )
      | ( ( sK6_SY48 @ SV37 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[543]) ).

thf(569,plain,
    ! [SV37: a] :
      ( ( ( sK6_SY48
          = ( ^ [SX0: a] : ~ $false ) )
        = $true )
      | ( ( sK6_SY48 @ SV37 )
        = $false )
      | ( ( sK6_SY48 @ SV37 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[543]) ).

thf(570,plain,
    ! [SV37: a] :
      ( ( ( ! [SV50: a] :
              ( ( sK6_SY48 @ SV50 )
              = ( ~ $false ) ) )
        = $true )
      | ( ( sK6_SY48 @ SV37 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[544]) ).

thf(571,plain,
    ! [SV37: a] :
      ( ( ( sK6_SY48
          = ( ^ [SX0: a] : ~ $false ) )
        = $true )
      | ( ( sK6_SY48 @ SV37 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[544]) ).

thf(572,plain,
    ! [SV37: a] :
      ( ( ( ! [SV51: a] :
              ( ( sK6_SY48 @ SV51 )
              = ( ~ $false ) ) )
        = $true )
      | ( $false = $false )
      | ( ( sK6_SY48 @ SV37 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[545]) ).

thf(573,plain,
    ! [SV37: a] :
      ( ( ( sK6_SY48
          = ( ^ [SX0: a] : ~ $false ) )
        = $true )
      | ( $false = $false )
      | ( ( sK6_SY48 @ SV37 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[545]) ).

thf(574,plain,
    ( ( ( ! [SV52: a] :
            ( ( sK6_SY48 @ SV52 )
            = ( ~ $false ) ) )
      = $true )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[546]) ).

thf(575,plain,
    ( ( ( sK6_SY48
        = ( ^ [SX0: a] : ~ $false ) )
      = $true )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[546]) ).

thf(576,plain,
    ! [SV37: a,SV44: a] :
      ( ( ( ~ ( sK6_SY48 @ SV44 )
          | ~ ~ $false )
        = $false )
      | ( ( sK6_SY48 @ SV44 )
        = $false )
      | ( ( ( sK6_SY48 @ SV37 )
          = $false )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[547]) ).

thf(577,plain,
    ! [SV37: a,SV44: a] :
      ( ( $false = $true )
      | ( ( ~ ( ~ ( sK6_SY48 @ SV44 )
              | ~ ~ $false ) )
        = $true )
      | ( ( ( sK6_SY48 @ SV37 )
          = $false )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[548]) ).

thf(578,plain,
    ! [SV40: a] :
      ( ( ( sK6_SY48 @ SV40 )
        = $true )
      | ( ( sK6_SY48 @ SV40 )
        = $false )
      | ( ( sK6_SY48
          = ( ^ [SX0: a] : $false ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[549]) ).

thf(579,plain,
    ! [SV40: a] :
      ( ( ( ~ $false )
        = $true )
      | ( ( sK6_SY48 @ SV40 )
        = $false )
      | ( ( sK6_SY48
          = ( ^ [SX0: a] : $false ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[550]) ).

thf(580,plain,
    ! [SV40: a] :
      ( ( ( ~ ( sK6_SY48 @ SV40 ) )
        = $false )
      | ( $false = $true )
      | ( ( sK6_SY48
          = ( ^ [SX0: a] : $false ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[551]) ).

thf(581,plain,
    ( ( ( ~ ~ $false )
      = $false )
    | ( $false = $true )
    | ( ( sK6_SY48
        = ( ^ [SX0: a] : $false ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[551]) ).

thf(582,plain,
    ! [SV30: a] :
      ( ( ( ~ ( sK5_Y @ SV30 )
          | ~ ( sK6_SY48 @ SV30 ) )
        = $false )
      | ( ( sK5_Y @ SV30 )
        = $false )
      | ( ( sK6_SY48 @ SV30 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[553]) ).

thf(583,plain,
    ! [SV35: a,SV53: a] :
      ( ( ( ( sK5_Y @ SV53 )
          = ( ~ $false ) )
        = $true )
      | ( ( sK5_Y @ SV35 )
        = $false )
      | ( ( sK5_Y @ SV35 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[554]) ).

thf(584,plain,
    ! [SV35: a,SV54: a] :
      ( ( ( ( sK5_Y @ SV54 )
          = ( ~ $false ) )
        = $true )
      | ( ( sK5_Y @ SV35 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[556]) ).

thf(585,plain,
    ! [SV35: a,SV55: a] :
      ( ( ( ( sK5_Y @ SV55 )
          = ( ~ $false ) )
        = $true )
      | ( $false = $false )
      | ( ( sK5_Y @ SV35 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[558]) ).

thf(586,plain,
    ! [SV56: a] :
      ( ( ( ( sK5_Y @ SV56 )
          = ( ~ $false ) )
        = $true )
      | ( $false = $false )
      | ( $false = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[560]) ).

thf(587,plain,
    ! [SV35: a,SV43: a] :
      ( ( ( ~ ( sK5_Y @ SV43 ) )
        = $false )
      | ( ( sK5_Y @ SV43 )
        = $false )
      | ( ( ( sK5_Y @ SV35 )
          = $false )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[562]) ).

thf(588,plain,
    ! [SV35: a,SV43: a] :
      ( ( ( ~ ~ $false )
        = $false )
      | ( ( sK5_Y @ SV43 )
        = $false )
      | ( ( ( sK5_Y @ SV35 )
          = $false )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[562]) ).

thf(589,plain,
    ! [SV35: a,SV43: a] :
      ( ( ( ~ ( sK5_Y @ SV43 )
          | ~ ~ $false )
        = $false )
      | ( $false = $true )
      | ( ( ( sK5_Y @ SV35 )
          = $false )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[563]) ).

thf(590,plain,
    ! [SV39: a] :
      ( ( $false = $false )
      | ( ( sK5_Y @ SV39 )
        = $false )
      | ( ( sK5_Y
          = ( ^ [SX0: a] : $false ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[565]) ).

thf(591,plain,
    ! [SV39: a] :
      ( ( ( sK5_Y @ SV39 )
        = $true )
      | ( $false = $true )
      | ( ( sK5_Y
          = ( ^ [SX0: a] : $false ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[566]) ).

thf(592,plain,
    ( ( ( ~ $false )
      = $true )
    | ( $false = $true )
    | ( ( sK5_Y
        = ( ^ [SX0: a] : $false ) )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[567]) ).

thf(593,plain,
    ! [SV37: a,SV57: a] :
      ( ( ( ( sK6_SY48 @ SV57 )
          = ( ~ $false ) )
        = $true )
      | ( ( sK6_SY48 @ SV37 )
        = $false )
      | ( ( sK6_SY48 @ SV37 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[568]) ).

thf(594,plain,
    ! [SV37: a,SV58: a] :
      ( ( ( ( sK6_SY48 @ SV58 )
          = ( ~ $false ) )
        = $true )
      | ( ( sK6_SY48 @ SV37 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[570]) ).

thf(595,plain,
    ! [SV37: a,SV59: a] :
      ( ( ( ( sK6_SY48 @ SV59 )
          = ( ~ $false ) )
        = $true )
      | ( $false = $false )
      | ( ( sK6_SY48 @ SV37 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[572]) ).

thf(596,plain,
    ! [SV60: a] :
      ( ( ( ( sK6_SY48 @ SV60 )
          = ( ~ $false ) )
        = $true )
      | ( $false = $false )
      | ( $false = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[574]) ).

thf(597,plain,
    ! [SV37: a,SV44: a] :
      ( ( ( ~ ( sK6_SY48 @ SV44 ) )
        = $false )
      | ( ( sK6_SY48 @ SV44 )
        = $false )
      | ( ( ( sK6_SY48 @ SV37 )
          = $false )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[576]) ).

thf(598,plain,
    ! [SV37: a,SV44: a] :
      ( ( ( ~ ~ $false )
        = $false )
      | ( ( sK6_SY48 @ SV44 )
        = $false )
      | ( ( ( sK6_SY48 @ SV37 )
          = $false )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[576]) ).

thf(599,plain,
    ! [SV37: a,SV44: a] :
      ( ( ( ~ ( sK6_SY48 @ SV44 )
          | ~ ~ $false )
        = $false )
      | ( $false = $true )
      | ( ( ( sK6_SY48 @ SV37 )
          = $false )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[577]) ).

thf(600,plain,
    ! [SV40: a] :
      ( ( $false = $false )
      | ( ( sK6_SY48 @ SV40 )
        = $false )
      | ( ( sK6_SY48
          = ( ^ [SX0: a] : $false ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[579]) ).

thf(601,plain,
    ! [SV40: a] :
      ( ( ( sK6_SY48 @ SV40 )
        = $true )
      | ( $false = $true )
      | ( ( sK6_SY48
          = ( ^ [SX0: a] : $false ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[580]) ).

thf(602,plain,
    ( ( ( ~ $false )
      = $true )
    | ( $false = $true )
    | ( ( sK6_SY48
        = ( ^ [SX0: a] : $false ) )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[581]) ).

thf(603,plain,
    ! [SV30: a] :
      ( ( ( ~ ( sK5_Y @ SV30 ) )
        = $false )
      | ( ( sK5_Y @ SV30 )
        = $false )
      | ( ( sK6_SY48 @ SV30 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[582]) ).

thf(604,plain,
    ! [SV30: a] :
      ( ( ( ~ ( sK6_SY48 @ SV30 ) )
        = $false )
      | ( ( sK5_Y @ SV30 )
        = $false )
      | ( ( sK6_SY48 @ SV30 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[582]) ).

thf(605,plain,
    ! [SV35: a,SV53: a] :
      ( ( ( ~ ( ( sK5_Y @ SV53 )
              | ~ $false )
          | ~ ( ~ ( sK5_Y @ SV53 )
              | ~ ~ $false ) )
        = $true )
      | ( ( sK5_Y @ SV35 )
        = $false )
      | ( ( sK5_Y @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[583]) ).

thf(606,plain,
    ! [SV35: a,SV53: a] :
      ( ( ( ( sK5_Y @ SV53 )
          = ( ~ $false ) )
        = $true )
      | ( ( sK5_Y @ SV35 )
        = $false )
      | ( ( sK5_Y @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[583]) ).

thf(607,plain,
    ! [SV35: a,SV54: a] :
      ( ( ( ~ ( ( sK5_Y @ SV54 )
              | ~ $false )
          | ~ ( ~ ( sK5_Y @ SV54 )
              | ~ ~ $false ) )
        = $true )
      | ( ( sK5_Y @ SV35 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[584]) ).

thf(608,plain,
    ! [SV35: a,SV54: a] :
      ( ( ( ( sK5_Y @ SV54 )
          = ( ~ $false ) )
        = $true )
      | ( ( sK5_Y @ SV35 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[584]) ).

thf(609,plain,
    ! [SV35: a,SV55: a] :
      ( ( ( ~ ( ( sK5_Y @ SV55 )
              | ~ $false )
          | ~ ( ~ ( sK5_Y @ SV55 )
              | ~ ~ $false ) )
        = $true )
      | ( $false = $false )
      | ( ( sK5_Y @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[585]) ).

thf(610,plain,
    ! [SV35: a,SV55: a] :
      ( ( ( ( sK5_Y @ SV55 )
          = ( ~ $false ) )
        = $true )
      | ( $false = $false )
      | ( ( sK5_Y @ SV35 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[585]) ).

thf(611,plain,
    ! [SV56: a] :
      ( ( ( ~ ( ( sK5_Y @ SV56 )
              | ~ $false )
          | ~ ( ~ ( sK5_Y @ SV56 )
              | ~ ~ $false ) )
        = $true )
      | ( $false = $false )
      | ( $false = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[586]) ).

thf(612,plain,
    ! [SV56: a] :
      ( ( ( ( sK5_Y @ SV56 )
          = ( ~ $false ) )
        = $true )
      | ( $false = $false )
      | ( $false = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[586]) ).

thf(613,plain,
    ! [SV35: a,SV43: a] :
      ( ( ( sK5_Y @ SV43 )
        = $true )
      | ( ( sK5_Y @ SV43 )
        = $false )
      | ( ( ( sK5_Y @ SV35 )
          = $false )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[587]) ).

thf(614,plain,
    ! [SV35: a,SV43: a] :
      ( ( ( ~ $false )
        = $true )
      | ( ( sK5_Y @ SV43 )
        = $false )
      | ( ( ( sK5_Y @ SV35 )
          = $false )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[588]) ).

thf(615,plain,
    ! [SV35: a,SV43: a] :
      ( ( ( ~ ( sK5_Y @ SV43 ) )
        = $false )
      | ( $false = $true )
      | ( ( ( sK5_Y @ SV35 )
          = $false )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[589]) ).

thf(616,plain,
    ! [SV35: a] :
      ( ( ( ~ ~ $false )
        = $false )
      | ( $false = $true )
      | ( ( ( sK5_Y @ SV35 )
          = $false )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[589]) ).

thf(617,plain,
    ( ( $false = $false )
    | ( $false = $true )
    | ( ( sK5_Y
        = ( ^ [SX0: a] : $false ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[592]) ).

thf(618,plain,
    ! [SV37: a,SV57: a] :
      ( ( ( ~ ( ( sK6_SY48 @ SV57 )
              | ~ $false )
          | ~ ( ~ ( sK6_SY48 @ SV57 )
              | ~ ~ $false ) )
        = $true )
      | ( ( sK6_SY48 @ SV37 )
        = $false )
      | ( ( sK6_SY48 @ SV37 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[593]) ).

thf(619,plain,
    ! [SV37: a,SV57: a] :
      ( ( ( ( sK6_SY48 @ SV57 )
          = ( ~ $false ) )
        = $true )
      | ( ( sK6_SY48 @ SV37 )
        = $false )
      | ( ( sK6_SY48 @ SV37 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[593]) ).

thf(620,plain,
    ! [SV37: a,SV58: a] :
      ( ( ( ~ ( ( sK6_SY48 @ SV58 )
              | ~ $false )
          | ~ ( ~ ( sK6_SY48 @ SV58 )
              | ~ ~ $false ) )
        = $true )
      | ( ( sK6_SY48 @ SV37 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[594]) ).

thf(621,plain,
    ! [SV37: a,SV58: a] :
      ( ( ( ( sK6_SY48 @ SV58 )
          = ( ~ $false ) )
        = $true )
      | ( ( sK6_SY48 @ SV37 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[594]) ).

thf(622,plain,
    ! [SV37: a,SV59: a] :
      ( ( ( ~ ( ( sK6_SY48 @ SV59 )
              | ~ $false )
          | ~ ( ~ ( sK6_SY48 @ SV59 )
              | ~ ~ $false ) )
        = $true )
      | ( $false = $false )
      | ( ( sK6_SY48 @ SV37 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[595]) ).

thf(623,plain,
    ! [SV37: a,SV59: a] :
      ( ( ( ( sK6_SY48 @ SV59 )
          = ( ~ $false ) )
        = $true )
      | ( $false = $false )
      | ( ( sK6_SY48 @ SV37 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[595]) ).

thf(624,plain,
    ! [SV60: a] :
      ( ( ( ~ ( ( sK6_SY48 @ SV60 )
              | ~ $false )
          | ~ ( ~ ( sK6_SY48 @ SV60 )
              | ~ ~ $false ) )
        = $true )
      | ( $false = $false )
      | ( $false = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[596]) ).

thf(625,plain,
    ! [SV60: a] :
      ( ( ( ( sK6_SY48 @ SV60 )
          = ( ~ $false ) )
        = $true )
      | ( $false = $false )
      | ( $false = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[596]) ).

thf(626,plain,
    ! [SV37: a,SV44: a] :
      ( ( ( sK6_SY48 @ SV44 )
        = $true )
      | ( ( sK6_SY48 @ SV44 )
        = $false )
      | ( ( ( sK6_SY48 @ SV37 )
          = $false )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[597]) ).

thf(627,plain,
    ! [SV37: a,SV44: a] :
      ( ( ( ~ $false )
        = $true )
      | ( ( sK6_SY48 @ SV44 )
        = $false )
      | ( ( ( sK6_SY48 @ SV37 )
          = $false )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[598]) ).

thf(628,plain,
    ! [SV37: a,SV44: a] :
      ( ( ( ~ ( sK6_SY48 @ SV44 ) )
        = $false )
      | ( $false = $true )
      | ( ( ( sK6_SY48 @ SV37 )
          = $false )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[599]) ).

thf(629,plain,
    ! [SV37: a] :
      ( ( ( ~ ~ $false )
        = $false )
      | ( $false = $true )
      | ( ( ( sK6_SY48 @ SV37 )
          = $false )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[599]) ).

thf(630,plain,
    ( ( $false = $false )
    | ( $false = $true )
    | ( ( sK6_SY48
        = ( ^ [SX0: a] : $false ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[602]) ).

thf(631,plain,
    ! [SV30: a] :
      ( ( ( sK5_Y @ SV30 )
        = $true )
      | ( ( sK5_Y @ SV30 )
        = $false )
      | ( ( sK6_SY48 @ SV30 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[603]) ).

thf(632,plain,
    ! [SV30: a] :
      ( ( ( sK6_SY48 @ SV30 )
        = $true )
      | ( ( sK5_Y @ SV30 )
        = $false )
      | ( ( sK6_SY48 @ SV30 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[604]) ).

thf(633,plain,
    ! [SV35: a,SV53: a] :
      ( ( ( ~ ( ( sK5_Y @ SV53 )
              | ~ $false ) )
        = $true )
      | ( ( ~ ( ~ ( sK5_Y @ SV53 )
              | ~ ~ $false ) )
        = $true )
      | ( ( sK5_Y @ SV35 )
        = $false )
      | ( ( sK5_Y @ SV35 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[605]) ).

thf(634,plain,
    ! [SV35: a,SV54: a] :
      ( ( ( ~ ( ( sK5_Y @ SV54 )
              | ~ $false ) )
        = $true )
      | ( ( ~ ( ~ ( sK5_Y @ SV54 )
              | ~ ~ $false ) )
        = $true )
      | ( ( sK5_Y @ SV35 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[607]) ).

thf(635,plain,
    ! [SV35: a,SV55: a] :
      ( ( ( ~ ( ( sK5_Y @ SV55 )
              | ~ $false ) )
        = $true )
      | ( ( ~ ( ~ ( sK5_Y @ SV55 )
              | ~ ~ $false ) )
        = $true )
      | ( $false = $false )
      | ( ( sK5_Y @ SV35 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[609]) ).

thf(636,plain,
    ! [SV56: a] :
      ( ( ( ~ ( ( sK5_Y @ SV56 )
              | ~ $false ) )
        = $true )
      | ( ( ~ ( ~ ( sK5_Y @ SV56 )
              | ~ ~ $false ) )
        = $true )
      | ( $false = $false )
      | ( $false = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[611]) ).

thf(637,plain,
    ! [SV35: a,SV43: a] :
      ( ( $false = $false )
      | ( ( sK5_Y @ SV43 )
        = $false )
      | ( ( ( sK5_Y @ SV35 )
          = $false )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[614]) ).

thf(638,plain,
    ! [SV35: a,SV43: a] :
      ( ( ( sK5_Y @ SV43 )
        = $true )
      | ( $false = $true )
      | ( ( ( sK5_Y @ SV35 )
          = $false )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[615]) ).

thf(639,plain,
    ! [SV35: a] :
      ( ( ( ~ $false )
        = $true )
      | ( $false = $true )
      | ( ( ( sK5_Y @ SV35 )
          = $false )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[616]) ).

thf(640,plain,
    ! [SV37: a,SV57: a] :
      ( ( ( ~ ( ( sK6_SY48 @ SV57 )
              | ~ $false ) )
        = $true )
      | ( ( ~ ( ~ ( sK6_SY48 @ SV57 )
              | ~ ~ $false ) )
        = $true )
      | ( ( sK6_SY48 @ SV37 )
        = $false )
      | ( ( sK6_SY48 @ SV37 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[618]) ).

thf(641,plain,
    ! [SV37: a,SV58: a] :
      ( ( ( ~ ( ( sK6_SY48 @ SV58 )
              | ~ $false ) )
        = $true )
      | ( ( ~ ( ~ ( sK6_SY48 @ SV58 )
              | ~ ~ $false ) )
        = $true )
      | ( ( sK6_SY48 @ SV37 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[620]) ).

thf(642,plain,
    ! [SV37: a,SV59: a] :
      ( ( ( ~ ( ( sK6_SY48 @ SV59 )
              | ~ $false ) )
        = $true )
      | ( ( ~ ( ~ ( sK6_SY48 @ SV59 )
              | ~ ~ $false ) )
        = $true )
      | ( $false = $false )
      | ( ( sK6_SY48 @ SV37 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[622]) ).

thf(643,plain,
    ! [SV60: a] :
      ( ( ( ~ ( ( sK6_SY48 @ SV60 )
              | ~ $false ) )
        = $true )
      | ( ( ~ ( ~ ( sK6_SY48 @ SV60 )
              | ~ ~ $false ) )
        = $true )
      | ( $false = $false )
      | ( $false = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[624]) ).

thf(644,plain,
    ! [SV37: a,SV44: a] :
      ( ( $false = $false )
      | ( ( sK6_SY48 @ SV44 )
        = $false )
      | ( ( ( sK6_SY48 @ SV37 )
          = $false )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[627]) ).

thf(645,plain,
    ! [SV37: a,SV44: a] :
      ( ( ( sK6_SY48 @ SV44 )
        = $true )
      | ( $false = $true )
      | ( ( ( sK6_SY48 @ SV37 )
          = $false )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[628]) ).

thf(646,plain,
    ! [SV37: a] :
      ( ( ( ~ $false )
        = $true )
      | ( $false = $true )
      | ( ( ( sK6_SY48 @ SV37 )
          = $false )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[629]) ).

thf(647,plain,
    ! [SV35: a,SV53: a] :
      ( ( ( ( sK5_Y @ SV53 )
          | ~ $false )
        = $false )
      | ( ( ~ ( ~ ( sK5_Y @ SV53 )
              | ~ ~ $false ) )
        = $true )
      | ( ( sK5_Y @ SV35 )
        = $false )
      | ( ( sK5_Y @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[633]) ).

thf(648,plain,
    ! [SV35: a,SV54: a] :
      ( ( ( ( sK5_Y @ SV54 )
          | ~ $false )
        = $false )
      | ( ( ~ ( ~ ( sK5_Y @ SV54 )
              | ~ ~ $false ) )
        = $true )
      | ( ( sK5_Y @ SV35 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[634]) ).

thf(649,plain,
    ! [SV35: a,SV55: a] :
      ( ( ( ( sK5_Y @ SV55 )
          | ~ $false )
        = $false )
      | ( ( ~ ( ~ ( sK5_Y @ SV55 )
              | ~ ~ $false ) )
        = $true )
      | ( $false = $false )
      | ( ( sK5_Y @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[635]) ).

thf(650,plain,
    ! [SV56: a] :
      ( ( ( ( sK5_Y @ SV56 )
          | ~ $false )
        = $false )
      | ( ( ~ ( ~ ( sK5_Y @ SV56 )
              | ~ ~ $false ) )
        = $true )
      | ( $false = $false )
      | ( $false = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[636]) ).

thf(651,plain,
    ! [SV35: a] :
      ( ( $false = $false )
      | ( $false = $true )
      | ( ( ( sK5_Y @ SV35 )
          = $false )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[639]) ).

thf(652,plain,
    ! [SV37: a,SV57: a] :
      ( ( ( ( sK6_SY48 @ SV57 )
          | ~ $false )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY48 @ SV57 )
              | ~ ~ $false ) )
        = $true )
      | ( ( sK6_SY48 @ SV37 )
        = $false )
      | ( ( sK6_SY48 @ SV37 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[640]) ).

thf(653,plain,
    ! [SV37: a,SV58: a] :
      ( ( ( ( sK6_SY48 @ SV58 )
          | ~ $false )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY48 @ SV58 )
              | ~ ~ $false ) )
        = $true )
      | ( ( sK6_SY48 @ SV37 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[641]) ).

thf(654,plain,
    ! [SV37: a,SV59: a] :
      ( ( ( ( sK6_SY48 @ SV59 )
          | ~ $false )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY48 @ SV59 )
              | ~ ~ $false ) )
        = $true )
      | ( $false = $false )
      | ( ( sK6_SY48 @ SV37 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[642]) ).

thf(655,plain,
    ! [SV60: a] :
      ( ( ( ( sK6_SY48 @ SV60 )
          | ~ $false )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY48 @ SV60 )
              | ~ ~ $false ) )
        = $true )
      | ( $false = $false )
      | ( $false = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[643]) ).

thf(656,plain,
    ! [SV37: a] :
      ( ( $false = $false )
      | ( $false = $true )
      | ( ( ( sK6_SY48 @ SV37 )
          = $false )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[646]) ).

thf(657,plain,
    ! [SV35: a,SV53: a] :
      ( ( ( sK5_Y @ SV53 )
        = $false )
      | ( ( ~ ( ~ ( sK5_Y @ SV53 )
              | ~ ~ $false ) )
        = $true )
      | ( ( sK5_Y @ SV35 )
        = $false )
      | ( ( sK5_Y @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[647]) ).

thf(658,plain,
    ! [SV35: a,SV53: a] :
      ( ( ( ~ $false )
        = $false )
      | ( ( ~ ( ~ ( sK5_Y @ SV53 )
              | ~ ~ $false ) )
        = $true )
      | ( ( sK5_Y @ SV35 )
        = $false )
      | ( ( sK5_Y @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[647]) ).

thf(659,plain,
    ! [SV35: a,SV54: a] :
      ( ( ( sK5_Y @ SV54 )
        = $false )
      | ( ( ~ ( ~ ( sK5_Y @ SV54 )
              | ~ ~ $false ) )
        = $true )
      | ( ( sK5_Y @ SV35 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[648]) ).

thf(660,plain,
    ! [SV35: a,SV54: a] :
      ( ( ( ~ $false )
        = $false )
      | ( ( ~ ( ~ ( sK5_Y @ SV54 )
              | ~ ~ $false ) )
        = $true )
      | ( ( sK5_Y @ SV35 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[648]) ).

thf(661,plain,
    ! [SV35: a,SV55: a] :
      ( ( ( sK5_Y @ SV55 )
        = $false )
      | ( ( ~ ( ~ ( sK5_Y @ SV55 )
              | ~ ~ $false ) )
        = $true )
      | ( $false = $false )
      | ( ( sK5_Y @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[649]) ).

thf(662,plain,
    ! [SV35: a,SV55: a] :
      ( ( ( ~ $false )
        = $false )
      | ( ( ~ ( ~ ( sK5_Y @ SV55 )
              | ~ ~ $false ) )
        = $true )
      | ( $false = $false )
      | ( ( sK5_Y @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[649]) ).

thf(663,plain,
    ! [SV56: a] :
      ( ( ( sK5_Y @ SV56 )
        = $false )
      | ( ( ~ ( ~ ( sK5_Y @ SV56 )
              | ~ ~ $false ) )
        = $true )
      | ( $false = $false )
      | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[650]) ).

thf(664,plain,
    ! [SV56: a] :
      ( ( ( ~ $false )
        = $false )
      | ( ( ~ ( ~ ( sK5_Y @ SV56 )
              | ~ ~ $false ) )
        = $true )
      | ( $false = $false )
      | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[650]) ).

thf(665,plain,
    ! [SV37: a,SV57: a] :
      ( ( ( sK6_SY48 @ SV57 )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY48 @ SV57 )
              | ~ ~ $false ) )
        = $true )
      | ( ( sK6_SY48 @ SV37 )
        = $false )
      | ( ( sK6_SY48 @ SV37 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[652]) ).

thf(666,plain,
    ! [SV37: a,SV57: a] :
      ( ( ( ~ $false )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY48 @ SV57 )
              | ~ ~ $false ) )
        = $true )
      | ( ( sK6_SY48 @ SV37 )
        = $false )
      | ( ( sK6_SY48 @ SV37 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[652]) ).

thf(667,plain,
    ! [SV37: a,SV58: a] :
      ( ( ( sK6_SY48 @ SV58 )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY48 @ SV58 )
              | ~ ~ $false ) )
        = $true )
      | ( ( sK6_SY48 @ SV37 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[653]) ).

thf(668,plain,
    ! [SV37: a,SV58: a] :
      ( ( ( ~ $false )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY48 @ SV58 )
              | ~ ~ $false ) )
        = $true )
      | ( ( sK6_SY48 @ SV37 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[653]) ).

thf(669,plain,
    ! [SV37: a,SV59: a] :
      ( ( ( sK6_SY48 @ SV59 )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY48 @ SV59 )
              | ~ ~ $false ) )
        = $true )
      | ( $false = $false )
      | ( ( sK6_SY48 @ SV37 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[654]) ).

thf(670,plain,
    ! [SV37: a,SV59: a] :
      ( ( ( ~ $false )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY48 @ SV59 )
              | ~ ~ $false ) )
        = $true )
      | ( $false = $false )
      | ( ( sK6_SY48 @ SV37 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[654]) ).

thf(671,plain,
    ! [SV60: a] :
      ( ( ( sK6_SY48 @ SV60 )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY48 @ SV60 )
              | ~ ~ $false ) )
        = $true )
      | ( $false = $false )
      | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[655]) ).

thf(672,plain,
    ! [SV60: a] :
      ( ( ( ~ $false )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY48 @ SV60 )
              | ~ ~ $false ) )
        = $true )
      | ( $false = $false )
      | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[655]) ).

thf(673,plain,
    ! [SV35: a,SV53: a] :
      ( ( ( ~ ( sK5_Y @ SV53 )
          | ~ ~ $false )
        = $false )
      | ( ( sK5_Y @ SV53 )
        = $false )
      | ( ( sK5_Y @ SV35 )
        = $false )
      | ( ( sK5_Y @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[657]) ).

thf(674,plain,
    ! [SV35: a,SV53: a] :
      ( ( $false = $true )
      | ( ( ~ ( ~ ( sK5_Y @ SV53 )
              | ~ ~ $false ) )
        = $true )
      | ( ( sK5_Y @ SV35 )
        = $false )
      | ( ( sK5_Y @ SV35 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[658]) ).

thf(675,plain,
    ! [SV35: a,SV54: a] :
      ( ( ( ~ ( sK5_Y @ SV54 )
          | ~ ~ $false )
        = $false )
      | ( ( sK5_Y @ SV54 )
        = $false )
      | ( ( sK5_Y @ SV35 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[659]) ).

thf(676,plain,
    ! [SV35: a,SV54: a] :
      ( ( $false = $true )
      | ( ( ~ ( ~ ( sK5_Y @ SV54 )
              | ~ ~ $false ) )
        = $true )
      | ( ( sK5_Y @ SV35 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[660]) ).

thf(677,plain,
    ! [SV35: a,SV55: a] :
      ( ( ( ~ ( sK5_Y @ SV55 )
          | ~ ~ $false )
        = $false )
      | ( ( sK5_Y @ SV55 )
        = $false )
      | ( $false = $false )
      | ( ( sK5_Y @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[661]) ).

thf(678,plain,
    ! [SV35: a,SV55: a] :
      ( ( $false = $true )
      | ( ( ~ ( ~ ( sK5_Y @ SV55 )
              | ~ ~ $false ) )
        = $true )
      | ( $false = $false )
      | ( ( sK5_Y @ SV35 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[662]) ).

thf(679,plain,
    ! [SV56: a] :
      ( ( ( ~ ( sK5_Y @ SV56 )
          | ~ ~ $false )
        = $false )
      | ( ( sK5_Y @ SV56 )
        = $false )
      | ( $false = $false )
      | ( $false = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[663]) ).

thf(680,plain,
    ! [SV56: a] :
      ( ( $false = $true )
      | ( ( ~ ( ~ ( sK5_Y @ SV56 )
              | ~ ~ $false ) )
        = $true )
      | ( $false = $false )
      | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[664]) ).

thf(681,plain,
    ! [SV37: a,SV57: a] :
      ( ( ( ~ ( sK6_SY48 @ SV57 )
          | ~ ~ $false )
        = $false )
      | ( ( sK6_SY48 @ SV57 )
        = $false )
      | ( ( sK6_SY48 @ SV37 )
        = $false )
      | ( ( sK6_SY48 @ SV37 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[665]) ).

thf(682,plain,
    ! [SV37: a,SV57: a] :
      ( ( $false = $true )
      | ( ( ~ ( ~ ( sK6_SY48 @ SV57 )
              | ~ ~ $false ) )
        = $true )
      | ( ( sK6_SY48 @ SV37 )
        = $false )
      | ( ( sK6_SY48 @ SV37 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[666]) ).

thf(683,plain,
    ! [SV37: a,SV58: a] :
      ( ( ( ~ ( sK6_SY48 @ SV58 )
          | ~ ~ $false )
        = $false )
      | ( ( sK6_SY48 @ SV58 )
        = $false )
      | ( ( sK6_SY48 @ SV37 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[667]) ).

thf(684,plain,
    ! [SV37: a,SV58: a] :
      ( ( $false = $true )
      | ( ( ~ ( ~ ( sK6_SY48 @ SV58 )
              | ~ ~ $false ) )
        = $true )
      | ( ( sK6_SY48 @ SV37 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[668]) ).

thf(685,plain,
    ! [SV37: a,SV59: a] :
      ( ( ( ~ ( sK6_SY48 @ SV59 )
          | ~ ~ $false )
        = $false )
      | ( ( sK6_SY48 @ SV59 )
        = $false )
      | ( $false = $false )
      | ( ( sK6_SY48 @ SV37 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[669]) ).

thf(686,plain,
    ! [SV37: a,SV59: a] :
      ( ( $false = $true )
      | ( ( ~ ( ~ ( sK6_SY48 @ SV59 )
              | ~ ~ $false ) )
        = $true )
      | ( $false = $false )
      | ( ( sK6_SY48 @ SV37 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[670]) ).

thf(687,plain,
    ! [SV60: a] :
      ( ( ( ~ ( sK6_SY48 @ SV60 )
          | ~ ~ $false )
        = $false )
      | ( ( sK6_SY48 @ SV60 )
        = $false )
      | ( $false = $false )
      | ( $false = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[671]) ).

thf(688,plain,
    ! [SV60: a] :
      ( ( $false = $true )
      | ( ( ~ ( ~ ( sK6_SY48 @ SV60 )
              | ~ ~ $false ) )
        = $true )
      | ( $false = $false )
      | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[672]) ).

thf(689,plain,
    ! [SV35: a,SV53: a] :
      ( ( ( ~ ( sK5_Y @ SV53 ) )
        = $false )
      | ( ( sK5_Y @ SV53 )
        = $false )
      | ( ( sK5_Y @ SV35 )
        = $false )
      | ( ( sK5_Y @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[673]) ).

thf(690,plain,
    ! [SV35: a,SV53: a] :
      ( ( ( ~ ~ $false )
        = $false )
      | ( ( sK5_Y @ SV53 )
        = $false )
      | ( ( sK5_Y @ SV35 )
        = $false )
      | ( ( sK5_Y @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[673]) ).

thf(691,plain,
    ! [SV35: a,SV53: a] :
      ( ( ( ~ ( sK5_Y @ SV53 )
          | ~ ~ $false )
        = $false )
      | ( $false = $true )
      | ( ( sK5_Y @ SV35 )
        = $false )
      | ( ( sK5_Y @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[674]) ).

thf(692,plain,
    ! [SV35: a,SV54: a] :
      ( ( ( ~ ( sK5_Y @ SV54 ) )
        = $false )
      | ( ( sK5_Y @ SV54 )
        = $false )
      | ( ( sK5_Y @ SV35 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[675]) ).

thf(693,plain,
    ! [SV35: a,SV54: a] :
      ( ( ( ~ ~ $false )
        = $false )
      | ( ( sK5_Y @ SV54 )
        = $false )
      | ( ( sK5_Y @ SV35 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[675]) ).

thf(694,plain,
    ! [SV35: a,SV54: a] :
      ( ( ( ~ ( sK5_Y @ SV54 )
          | ~ ~ $false )
        = $false )
      | ( $false = $true )
      | ( ( sK5_Y @ SV35 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[676]) ).

thf(695,plain,
    ! [SV35: a,SV55: a] :
      ( ( ( ~ ( sK5_Y @ SV55 ) )
        = $false )
      | ( ( sK5_Y @ SV55 )
        = $false )
      | ( $false = $false )
      | ( ( sK5_Y @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[677]) ).

thf(696,plain,
    ! [SV35: a,SV55: a] :
      ( ( ( ~ ~ $false )
        = $false )
      | ( ( sK5_Y @ SV55 )
        = $false )
      | ( $false = $false )
      | ( ( sK5_Y @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[677]) ).

thf(697,plain,
    ! [SV35: a,SV55: a] :
      ( ( ( ~ ( sK5_Y @ SV55 )
          | ~ ~ $false )
        = $false )
      | ( $false = $true )
      | ( $false = $false )
      | ( ( sK5_Y @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[678]) ).

thf(698,plain,
    ! [SV56: a] :
      ( ( ( ~ ( sK5_Y @ SV56 ) )
        = $false )
      | ( ( sK5_Y @ SV56 )
        = $false )
      | ( $false = $false )
      | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[679]) ).

thf(699,plain,
    ! [SV56: a] :
      ( ( ( ~ ~ $false )
        = $false )
      | ( ( sK5_Y @ SV56 )
        = $false )
      | ( $false = $false )
      | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[679]) ).

thf(700,plain,
    ! [SV56: a] :
      ( ( ( ~ ( sK5_Y @ SV56 )
          | ~ ~ $false )
        = $false )
      | ( $false = $true )
      | ( $false = $false )
      | ( $false = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[680]) ).

thf(701,plain,
    ! [SV37: a,SV57: a] :
      ( ( ( ~ ( sK6_SY48 @ SV57 ) )
        = $false )
      | ( ( sK6_SY48 @ SV57 )
        = $false )
      | ( ( sK6_SY48 @ SV37 )
        = $false )
      | ( ( sK6_SY48 @ SV37 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[681]) ).

thf(702,plain,
    ! [SV37: a,SV57: a] :
      ( ( ( ~ ~ $false )
        = $false )
      | ( ( sK6_SY48 @ SV57 )
        = $false )
      | ( ( sK6_SY48 @ SV37 )
        = $false )
      | ( ( sK6_SY48 @ SV37 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[681]) ).

thf(703,plain,
    ! [SV37: a,SV57: a] :
      ( ( ( ~ ( sK6_SY48 @ SV57 )
          | ~ ~ $false )
        = $false )
      | ( $false = $true )
      | ( ( sK6_SY48 @ SV37 )
        = $false )
      | ( ( sK6_SY48 @ SV37 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[682]) ).

thf(704,plain,
    ! [SV37: a,SV58: a] :
      ( ( ( ~ ( sK6_SY48 @ SV58 ) )
        = $false )
      | ( ( sK6_SY48 @ SV58 )
        = $false )
      | ( ( sK6_SY48 @ SV37 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[683]) ).

thf(705,plain,
    ! [SV37: a,SV58: a] :
      ( ( ( ~ ~ $false )
        = $false )
      | ( ( sK6_SY48 @ SV58 )
        = $false )
      | ( ( sK6_SY48 @ SV37 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[683]) ).

thf(706,plain,
    ! [SV37: a,SV58: a] :
      ( ( ( ~ ( sK6_SY48 @ SV58 )
          | ~ ~ $false )
        = $false )
      | ( $false = $true )
      | ( ( sK6_SY48 @ SV37 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[684]) ).

thf(707,plain,
    ! [SV37: a,SV59: a] :
      ( ( ( ~ ( sK6_SY48 @ SV59 ) )
        = $false )
      | ( ( sK6_SY48 @ SV59 )
        = $false )
      | ( $false = $false )
      | ( ( sK6_SY48 @ SV37 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[685]) ).

thf(708,plain,
    ! [SV37: a,SV59: a] :
      ( ( ( ~ ~ $false )
        = $false )
      | ( ( sK6_SY48 @ SV59 )
        = $false )
      | ( $false = $false )
      | ( ( sK6_SY48 @ SV37 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[685]) ).

thf(709,plain,
    ! [SV37: a,SV59: a] :
      ( ( ( ~ ( sK6_SY48 @ SV59 )
          | ~ ~ $false )
        = $false )
      | ( $false = $true )
      | ( $false = $false )
      | ( ( sK6_SY48 @ SV37 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[686]) ).

thf(710,plain,
    ! [SV60: a] :
      ( ( ( ~ ( sK6_SY48 @ SV60 ) )
        = $false )
      | ( ( sK6_SY48 @ SV60 )
        = $false )
      | ( $false = $false )
      | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[687]) ).

thf(711,plain,
    ! [SV60: a] :
      ( ( ( ~ ~ $false )
        = $false )
      | ( ( sK6_SY48 @ SV60 )
        = $false )
      | ( $false = $false )
      | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[687]) ).

thf(712,plain,
    ! [SV60: a] :
      ( ( ( ~ ( sK6_SY48 @ SV60 )
          | ~ ~ $false )
        = $false )
      | ( $false = $true )
      | ( $false = $false )
      | ( $false = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[688]) ).

thf(713,plain,
    ! [SV35: a,SV53: a] :
      ( ( ( sK5_Y @ SV53 )
        = $true )
      | ( ( sK5_Y @ SV53 )
        = $false )
      | ( ( sK5_Y @ SV35 )
        = $false )
      | ( ( sK5_Y @ SV35 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[689]) ).

thf(714,plain,
    ! [SV35: a,SV53: a] :
      ( ( ( ~ $false )
        = $true )
      | ( ( sK5_Y @ SV53 )
        = $false )
      | ( ( sK5_Y @ SV35 )
        = $false )
      | ( ( sK5_Y @ SV35 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[690]) ).

thf(715,plain,
    ! [SV35: a,SV53: a] :
      ( ( ( ~ ( sK5_Y @ SV53 ) )
        = $false )
      | ( $false = $true )
      | ( ( sK5_Y @ SV35 )
        = $false )
      | ( ( sK5_Y @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[691]) ).

thf(716,plain,
    ! [SV35: a] :
      ( ( ( ~ ~ $false )
        = $false )
      | ( $false = $true )
      | ( ( sK5_Y @ SV35 )
        = $false )
      | ( ( sK5_Y @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[691]) ).

thf(717,plain,
    ! [SV35: a,SV54: a] :
      ( ( ( sK5_Y @ SV54 )
        = $true )
      | ( ( sK5_Y @ SV54 )
        = $false )
      | ( ( sK5_Y @ SV35 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[692]) ).

thf(718,plain,
    ! [SV35: a,SV54: a] :
      ( ( ( ~ $false )
        = $true )
      | ( ( sK5_Y @ SV54 )
        = $false )
      | ( ( sK5_Y @ SV35 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[693]) ).

thf(719,plain,
    ! [SV35: a,SV54: a] :
      ( ( ( ~ ( sK5_Y @ SV54 ) )
        = $false )
      | ( $false = $true )
      | ( ( sK5_Y @ SV35 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[694]) ).

thf(720,plain,
    ! [SV35: a] :
      ( ( ( ~ ~ $false )
        = $false )
      | ( $false = $true )
      | ( ( sK5_Y @ SV35 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[694]) ).

thf(721,plain,
    ! [SV35: a,SV55: a] :
      ( ( ( sK5_Y @ SV55 )
        = $true )
      | ( ( sK5_Y @ SV55 )
        = $false )
      | ( $false = $false )
      | ( ( sK5_Y @ SV35 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[695]) ).

thf(722,plain,
    ! [SV35: a,SV55: a] :
      ( ( ( ~ $false )
        = $true )
      | ( ( sK5_Y @ SV55 )
        = $false )
      | ( $false = $false )
      | ( ( sK5_Y @ SV35 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[696]) ).

thf(723,plain,
    ! [SV35: a,SV55: a] :
      ( ( ( ~ ( sK5_Y @ SV55 ) )
        = $false )
      | ( $false = $true )
      | ( $false = $false )
      | ( ( sK5_Y @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[697]) ).

thf(724,plain,
    ! [SV35: a] :
      ( ( ( ~ ~ $false )
        = $false )
      | ( $false = $true )
      | ( $false = $false )
      | ( ( sK5_Y @ SV35 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[697]) ).

thf(725,plain,
    ! [SV56: a] :
      ( ( ( sK5_Y @ SV56 )
        = $true )
      | ( ( sK5_Y @ SV56 )
        = $false )
      | ( $false = $false )
      | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[698]) ).

thf(726,plain,
    ! [SV56: a] :
      ( ( ( ~ $false )
        = $true )
      | ( ( sK5_Y @ SV56 )
        = $false )
      | ( $false = $false )
      | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[699]) ).

thf(727,plain,
    ! [SV56: a] :
      ( ( ( ~ ( sK5_Y @ SV56 ) )
        = $false )
      | ( $false = $true )
      | ( $false = $false )
      | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[700]) ).

thf(728,plain,
    ( ( ( ~ ~ $false )
      = $false )
    | ( $false = $true )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[700]) ).

thf(729,plain,
    ! [SV37: a,SV57: a] :
      ( ( ( sK6_SY48 @ SV57 )
        = $true )
      | ( ( sK6_SY48 @ SV57 )
        = $false )
      | ( ( sK6_SY48 @ SV37 )
        = $false )
      | ( ( sK6_SY48 @ SV37 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[701]) ).

thf(730,plain,
    ! [SV37: a,SV57: a] :
      ( ( ( ~ $false )
        = $true )
      | ( ( sK6_SY48 @ SV57 )
        = $false )
      | ( ( sK6_SY48 @ SV37 )
        = $false )
      | ( ( sK6_SY48 @ SV37 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[702]) ).

thf(731,plain,
    ! [SV37: a,SV57: a] :
      ( ( ( ~ ( sK6_SY48 @ SV57 ) )
        = $false )
      | ( $false = $true )
      | ( ( sK6_SY48 @ SV37 )
        = $false )
      | ( ( sK6_SY48 @ SV37 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[703]) ).

thf(732,plain,
    ! [SV37: a] :
      ( ( ( ~ ~ $false )
        = $false )
      | ( $false = $true )
      | ( ( sK6_SY48 @ SV37 )
        = $false )
      | ( ( sK6_SY48 @ SV37 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[703]) ).

thf(733,plain,
    ! [SV37: a,SV58: a] :
      ( ( ( sK6_SY48 @ SV58 )
        = $true )
      | ( ( sK6_SY48 @ SV58 )
        = $false )
      | ( ( sK6_SY48 @ SV37 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[704]) ).

thf(734,plain,
    ! [SV37: a,SV58: a] :
      ( ( ( ~ $false )
        = $true )
      | ( ( sK6_SY48 @ SV58 )
        = $false )
      | ( ( sK6_SY48 @ SV37 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[705]) ).

thf(735,plain,
    ! [SV37: a,SV58: a] :
      ( ( ( ~ ( sK6_SY48 @ SV58 ) )
        = $false )
      | ( $false = $true )
      | ( ( sK6_SY48 @ SV37 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[706]) ).

thf(736,plain,
    ! [SV37: a] :
      ( ( ( ~ ~ $false )
        = $false )
      | ( $false = $true )
      | ( ( sK6_SY48 @ SV37 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[706]) ).

thf(737,plain,
    ! [SV37: a,SV59: a] :
      ( ( ( sK6_SY48 @ SV59 )
        = $true )
      | ( ( sK6_SY48 @ SV59 )
        = $false )
      | ( $false = $false )
      | ( ( sK6_SY48 @ SV37 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[707]) ).

thf(738,plain,
    ! [SV37: a,SV59: a] :
      ( ( ( ~ $false )
        = $true )
      | ( ( sK6_SY48 @ SV59 )
        = $false )
      | ( $false = $false )
      | ( ( sK6_SY48 @ SV37 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[708]) ).

thf(739,plain,
    ! [SV37: a,SV59: a] :
      ( ( ( ~ ( sK6_SY48 @ SV59 ) )
        = $false )
      | ( $false = $true )
      | ( $false = $false )
      | ( ( sK6_SY48 @ SV37 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[709]) ).

thf(740,plain,
    ! [SV37: a] :
      ( ( ( ~ ~ $false )
        = $false )
      | ( $false = $true )
      | ( $false = $false )
      | ( ( sK6_SY48 @ SV37 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[709]) ).

thf(741,plain,
    ! [SV60: a] :
      ( ( ( sK6_SY48 @ SV60 )
        = $true )
      | ( ( sK6_SY48 @ SV60 )
        = $false )
      | ( $false = $false )
      | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[710]) ).

thf(742,plain,
    ! [SV60: a] :
      ( ( ( ~ $false )
        = $true )
      | ( ( sK6_SY48 @ SV60 )
        = $false )
      | ( $false = $false )
      | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[711]) ).

thf(743,plain,
    ! [SV60: a] :
      ( ( ( ~ ( sK6_SY48 @ SV60 ) )
        = $false )
      | ( $false = $true )
      | ( $false = $false )
      | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[712]) ).

thf(744,plain,
    ( ( ( ~ ~ $false )
      = $false )
    | ( $false = $true )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[712]) ).

thf(745,plain,
    ! [SV35: a,SV53: a] :
      ( ( $false = $false )
      | ( ( sK5_Y @ SV53 )
        = $false )
      | ( ( sK5_Y @ SV35 )
        = $false )
      | ( ( sK5_Y @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[714]) ).

thf(746,plain,
    ! [SV35: a,SV53: a] :
      ( ( ( sK5_Y @ SV53 )
        = $true )
      | ( $false = $true )
      | ( ( sK5_Y @ SV35 )
        = $false )
      | ( ( sK5_Y @ SV35 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[715]) ).

thf(747,plain,
    ! [SV35: a] :
      ( ( ( ~ $false )
        = $true )
      | ( $false = $true )
      | ( ( sK5_Y @ SV35 )
        = $false )
      | ( ( sK5_Y @ SV35 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[716]) ).

thf(748,plain,
    ! [SV35: a,SV54: a] :
      ( ( $false = $false )
      | ( ( sK5_Y @ SV54 )
        = $false )
      | ( ( sK5_Y @ SV35 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[718]) ).

thf(749,plain,
    ! [SV35: a,SV54: a] :
      ( ( ( sK5_Y @ SV54 )
        = $true )
      | ( $false = $true )
      | ( ( sK5_Y @ SV35 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[719]) ).

thf(750,plain,
    ! [SV35: a] :
      ( ( ( ~ $false )
        = $true )
      | ( $false = $true )
      | ( ( sK5_Y @ SV35 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[720]) ).

thf(751,plain,
    ! [SV35: a,SV55: a] :
      ( ( $false = $false )
      | ( ( sK5_Y @ SV55 )
        = $false )
      | ( $false = $false )
      | ( ( sK5_Y @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[722]) ).

thf(752,plain,
    ! [SV35: a,SV55: a] :
      ( ( ( sK5_Y @ SV55 )
        = $true )
      | ( $false = $true )
      | ( $false = $false )
      | ( ( sK5_Y @ SV35 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[723]) ).

thf(753,plain,
    ! [SV35: a] :
      ( ( ( ~ $false )
        = $true )
      | ( $false = $true )
      | ( $false = $false )
      | ( ( sK5_Y @ SV35 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[724]) ).

thf(754,plain,
    ! [SV56: a] :
      ( ( $false = $false )
      | ( ( sK5_Y @ SV56 )
        = $false )
      | ( $false = $false )
      | ( $false = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[726]) ).

thf(755,plain,
    ! [SV56: a] :
      ( ( ( sK5_Y @ SV56 )
        = $true )
      | ( $false = $true )
      | ( $false = $false )
      | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[727]) ).

thf(756,plain,
    ( ( ( ~ $false )
      = $true )
    | ( $false = $true )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[728]) ).

thf(757,plain,
    ! [SV37: a,SV57: a] :
      ( ( $false = $false )
      | ( ( sK6_SY48 @ SV57 )
        = $false )
      | ( ( sK6_SY48 @ SV37 )
        = $false )
      | ( ( sK6_SY48 @ SV37 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[730]) ).

thf(758,plain,
    ! [SV37: a,SV57: a] :
      ( ( ( sK6_SY48 @ SV57 )
        = $true )
      | ( $false = $true )
      | ( ( sK6_SY48 @ SV37 )
        = $false )
      | ( ( sK6_SY48 @ SV37 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[731]) ).

thf(759,plain,
    ! [SV37: a] :
      ( ( ( ~ $false )
        = $true )
      | ( $false = $true )
      | ( ( sK6_SY48 @ SV37 )
        = $false )
      | ( ( sK6_SY48 @ SV37 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[732]) ).

thf(760,plain,
    ! [SV37: a,SV58: a] :
      ( ( $false = $false )
      | ( ( sK6_SY48 @ SV58 )
        = $false )
      | ( ( sK6_SY48 @ SV37 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[734]) ).

thf(761,plain,
    ! [SV37: a,SV58: a] :
      ( ( ( sK6_SY48 @ SV58 )
        = $true )
      | ( $false = $true )
      | ( ( sK6_SY48 @ SV37 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[735]) ).

thf(762,plain,
    ! [SV37: a] :
      ( ( ( ~ $false )
        = $true )
      | ( $false = $true )
      | ( ( sK6_SY48 @ SV37 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[736]) ).

thf(763,plain,
    ! [SV37: a,SV59: a] :
      ( ( $false = $false )
      | ( ( sK6_SY48 @ SV59 )
        = $false )
      | ( $false = $false )
      | ( ( sK6_SY48 @ SV37 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[738]) ).

thf(764,plain,
    ! [SV37: a,SV59: a] :
      ( ( ( sK6_SY48 @ SV59 )
        = $true )
      | ( $false = $true )
      | ( $false = $false )
      | ( ( sK6_SY48 @ SV37 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[739]) ).

thf(765,plain,
    ! [SV37: a] :
      ( ( ( ~ $false )
        = $true )
      | ( $false = $true )
      | ( $false = $false )
      | ( ( sK6_SY48 @ SV37 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[740]) ).

thf(766,plain,
    ! [SV60: a] :
      ( ( $false = $false )
      | ( ( sK6_SY48 @ SV60 )
        = $false )
      | ( $false = $false )
      | ( $false = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[742]) ).

thf(767,plain,
    ! [SV60: a] :
      ( ( ( sK6_SY48 @ SV60 )
        = $true )
      | ( $false = $true )
      | ( $false = $false )
      | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[743]) ).

thf(768,plain,
    ( ( ( ~ $false )
      = $true )
    | ( $false = $true )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[744]) ).

thf(769,plain,
    ! [SV35: a] :
      ( ( $false = $false )
      | ( $false = $true )
      | ( ( sK5_Y @ SV35 )
        = $false )
      | ( ( sK5_Y @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[747]) ).

thf(770,plain,
    ! [SV35: a] :
      ( ( $false = $false )
      | ( $false = $true )
      | ( ( sK5_Y @ SV35 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[750]) ).

thf(771,plain,
    ! [SV35: a] :
      ( ( $false = $false )
      | ( $false = $true )
      | ( $false = $false )
      | ( ( sK5_Y @ SV35 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[753]) ).

thf(772,plain,
    ( ( $false = $false )
    | ( $false = $true )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[756]) ).

thf(773,plain,
    ! [SV37: a] :
      ( ( $false = $false )
      | ( $false = $true )
      | ( ( sK6_SY48 @ SV37 )
        = $false )
      | ( ( sK6_SY48 @ SV37 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[759]) ).

thf(774,plain,
    ! [SV37: a] :
      ( ( $false = $false )
      | ( $false = $true )
      | ( ( sK6_SY48 @ SV37 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[762]) ).

thf(775,plain,
    ! [SV37: a] :
      ( ( $false = $false )
      | ( $false = $true )
      | ( $false = $false )
      | ( ( sK6_SY48 @ SV37 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[765]) ).

thf(776,plain,
    ( ( $false = $false )
    | ( $false = $true )
    | ( $false = $false )
    | ( $false = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[768]) ).

thf(777,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[407,776,775,774,773,772,771,770,769,767,766,764,763,761,760,758,757,755,754,752,751,749,748,746,745,741,737,733,729,725,721,717,713,656,651,645,644,638,637,632,631,630,626,625,623,621,619,617,613,612,610,608,606,601,600,591,590,578,575,573,571,569,564,561,559,557,555,552,531,530,502,498,493,488,485,477,472,470,467,465,459,444,441,429,427,420,416,414]) ).

thf(778,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[777,77,142,387]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEV261^5 : TPTP v6.4.0. Released v4.0.0.
% 0.00/0.04  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.03/0.23  % Computer : n078.star.cs.uiowa.edu
% 0.03/0.23  % Model    : x86_64 x86_64
% 0.03/0.23  % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.23  % Memory   : 32218.75MB
% 0.03/0.23  % OS       : Linux 3.10.0-327.36.3.el7.x86_64
% 0.03/0.23  % CPULimit : 300
% 0.03/0.23  % DateTime : Mon Jan 16 00:11:47 CST 2017
% 0.03/0.23  % CPUTime  : 
% 0.03/0.24  
% 0.03/0.24   No.of.Axioms: 0
% 0.03/0.24  
% 0.03/0.24   Length.of.Defs: 0
% 0.03/0.24  
% 0.03/0.24   Contains.Choice.Funs: false
% 0.03/0.24  (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:10,ordering:none,proof_output:1,protocol_output:false,clause_count:2,loop_count:0,foatp_calls:0,translation:fof_full)...........
% 0.06/0.38  
% 0.06/0.38  ********************************
% 0.06/0.38  *   All subproblems solved!    *
% 0.06/0.38  ********************************
% 0.06/0.38  % SZS status Theorem for /export/starexec/sandbox2/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:10,ordering:none,proof_output:1,protocol_output:false,clause_count:777,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.48/0.69  
% 0.48/0.69  %**** Beginning of derivation protocol ****
% 0.48/0.69  % SZS output start CNFRefutation
% See solution above
% 0.48/0.69  % SZS output end CNFRefutation
% 0.48/0.69  
% 0.48/0.69  %**** End of derivation protocol ****
% 0.48/0.69  %**** no. of clauses in derivation: 778 ****
% 0.48/0.69  %**** clause counter: 777 ****
% 0.48/0.69  
% 0.48/0.69  % SZS status Theorem for /export/starexec/sandbox2/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:10,ordering:none,proof_output:1,protocol_output:false,clause_count:777,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------