TSTP Solution File: SEU864^5 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : SEU864^5 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Tue Jul 19 12:15:29 EDT 2022

% Result   : Theorem 47.17s 47.34s
% Output   : CNFRefutation 47.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   27
% Syntax   : Number of formulae    :  662 (  27 unt;  26 typ;   0 def)
%            Number of atoms       : 16000 (9110 equ;   0 cnn)
%            Maximal formula atoms :    7 (  25 avg)
%            Number of connectives : 44291 ( 585   ~;7459   |;   4   &;36229   @)
%                                         (   0 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   8 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  : 3015 (3015   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   28 (  25 usr;  20 con; 0-3 aty)
%            Number of variables   : 10562 (8945   ^1617   !;   0   ?;10562   :)

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

thf(tp_sK10_E,type,
    sK10_E: a ).

thf(tp_sK11_E,type,
    sK11_E: a ).

thf(tp_sK12_E,type,
    sK12_E: a ).

thf(tp_sK13_E,type,
    sK13_E: a ).

thf(tp_sK14_E,type,
    sK14_E: a ).

thf(tp_sK15_E,type,
    sK15_E: a ).

thf(tp_sK16_E,type,
    sK16_E: a ).

thf(tp_sK17_E,type,
    sK17_E: a ).

thf(tp_sK18_E,type,
    sK18_E: a ).

thf(tp_sK19_E,type,
    sK19_E: a ).

thf(tp_sK1_X,type,
    sK1_X: ( a > $o ) > $o ).

thf(tp_sK20_E,type,
    sK20_E: ( a > a > $o ) > a ).

thf(tp_sK21_E,type,
    sK21_E: a > ( a > $o ) > ( a > a > $o ) > a ).

thf(tp_sK22_E,type,
    sK22_E: ( a > a > $o ) > a ).

thf(tp_sK23_E,type,
    sK23_E: ( a > $o ) > ( a > a > $o ) > a ).

thf(tp_sK24_E,type,
    sK24_E: a ).

thf(tp_sK2_E,type,
    sK2_E: a ).

thf(tp_sK3_E,type,
    sK3_E: a ).

thf(tp_sK4_E,type,
    sK4_E: a ).

thf(tp_sK5_E,type,
    sK5_E: a > ( a > $o ) > a ).

thf(tp_sK6_E,type,
    sK6_E: a ).

thf(tp_sK7_E,type,
    sK7_E: a ).

thf(tp_sK8_E,type,
    sK8_E: a ).

thf(tp_sK9_E,type,
    sK9_E: ( a > $o ) > a ).

thf(tp_t,type,
    t: a ).

thf(1,conjecture,
    ! [X: ( a > $o ) > $o] :
      ( ( ( X
          @ ^ [Xy: a] : $false )
        & ! [Xx: a > $o] :
            ( ( X @ Xx )
           => ! [Xt_0: a] :
                ( ( t = Xt_0 )
               => ( X
                  @ ^ [Xz: a] :
                      ( ( Xx @ Xz )
                      | ( Xt_0 = Xz ) ) ) ) ) )
     => ( X
        @ ^ [Xy: a] : ( t = Xy ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cDOMLEMMA1_pme) ).

thf(2,negated_conjecture,
    ( ( ! [X: ( a > $o ) > $o] :
          ( ( ( X
              @ ^ [Xy: a] : $false )
            & ! [Xx: a > $o] :
                ( ( X @ Xx )
               => ! [Xt_0: a] :
                    ( ( t = Xt_0 )
                   => ( X
                      @ ^ [Xz: a] :
                          ( ( Xx @ Xz )
                          | ( Xt_0 = Xz ) ) ) ) ) )
         => ( X
            @ ^ [Xy: a] : ( t = Xy ) ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ( ( ! [X: ( a > $o ) > $o] :
          ( ( ( X
              @ ^ [Xy: a] : $false )
            & ! [Xx: a > $o] :
                ( ( X @ Xx )
               => ! [Xt_0: a] :
                    ( ( t = Xt_0 )
                   => ( X
                      @ ^ [Xz: a] :
                          ( ( Xx @ Xz )
                          | ( Xt_0 = Xz ) ) ) ) ) )
         => ( X
            @ ^ [Xy: a] : ( t = Xy ) ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(4,plain,
    ( ( ( ( sK1_X
          @ ^ [Xy: a] : $false )
        & ! [SY7: a > $o] :
            ( ( sK1_X @ SY7 )
           => ! [SY8: a] :
                ( ( t = SY8 )
               => ( sK1_X
                  @ ^ [Xz: a] :
                      ( ( SY7 @ Xz )
                      | ( SY8 = Xz ) ) ) ) ) )
     => ( sK1_X
        @ ^ [Xy: a] : ( t = Xy ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[3]) ).

thf(5,plain,
    ( ( sK1_X
      @ ^ [Xy: a] : $false )
    = $true ),
    inference(standard_cnf,[status(thm)],[4]) ).

thf(6,plain,
    ( ( ! [SY7: a > $o] :
          ( ( sK1_X @ SY7 )
         => ! [SY8: a] :
              ( ( t = SY8 )
             => ( sK1_X
                @ ^ [Xz: a] :
                    ( ( SY7 @ Xz )
                    | ( SY8 = Xz ) ) ) ) ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[4]) ).

thf(7,plain,
    ( ( sK1_X
      @ ^ [Xy: a] : ( t = Xy ) )
    = $false ),
    inference(standard_cnf,[status(thm)],[4]) ).

thf(8,plain,
    ( ( ~ ( sK1_X
          @ ^ [Xy: a] : ( t = Xy ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[7]) ).

thf(9,plain,
    ( ( ! [SY7: a > $o] :
          ( ~ ( sK1_X @ SY7 )
          | ! [SY8: a] :
              ( ( t != SY8 )
              | ( sK1_X
                @ ^ [Xz: a] :
                    ( ( SY7 @ Xz )
                    | ( SY8 = Xz ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6]) ).

thf(10,plain,
    ( ( ! [SY7: a > $o] :
          ( ~ ( sK1_X @ SY7 )
          | ! [SY8: a] :
              ( ( t != SY8 )
              | ( sK1_X
                @ ^ [Xz: a] :
                    ( ( SY7 @ Xz )
                    | ( SY8 = Xz ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[9]) ).

thf(11,plain,
    ( ( sK1_X
      @ ^ [Xy: a] : $false )
    = $true ),
    inference(copy,[status(thm)],[5]) ).

thf(12,plain,
    ( ( ~ ( sK1_X
          @ ^ [Xy: a] : ( t = Xy ) ) )
    = $true ),
    inference(copy,[status(thm)],[8]) ).

thf(13,plain,
    ! [SV1: a > $o] :
      ( ( ~ ( sK1_X @ SV1 )
        | ! [SY11: a] :
            ( ( t != SY11 )
            | ( sK1_X
              @ ^ [SY12: a] :
                  ( ( SV1 @ SY12 )
                  | ( SY11 = SY12 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[10]) ).

thf(14,plain,
    ( ( sK1_X
      @ ^ [Xy: a] : ( t = Xy ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[12]) ).

thf(15,plain,
    ! [SV1: a > $o] :
      ( ( ( ~ ( sK1_X @ SV1 ) )
        = $true )
      | ( ( ! [SY11: a] :
              ( ( t != SY11 )
              | ( sK1_X
                @ ^ [SY12: a] :
                    ( ( SV1 @ SY12 )
                    | ( SY11 = SY12 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[13]) ).

thf(16,plain,
    ! [SV1: a > $o] :
      ( ( ( sK1_X @ SV1 )
        = $false )
      | ( ( ! [SY11: a] :
              ( ( t != SY11 )
              | ( sK1_X
                @ ^ [SY12: a] :
                    ( ( SV1 @ SY12 )
                    | ( SY11 = SY12 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[15]) ).

thf(17,plain,
    ! [SV1: a > $o,SV2: a] :
      ( ( ( ( t != SV2 )
          | ( sK1_X
            @ ^ [SY13: a] :
                ( ( SV1 @ SY13 )
                | ( SV2 = SY13 ) ) ) )
        = $true )
      | ( ( sK1_X @ SV1 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[16]) ).

thf(18,plain,
    ! [SV1: a > $o,SV2: a] :
      ( ( ( ( t != SV2 ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SY13: a] :
              ( ( SV1 @ SY13 )
              | ( SV2 = SY13 ) ) )
        = $true )
      | ( ( sK1_X @ SV1 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[17]) ).

thf(19,plain,
    ! [SV1: a > $o,SV2: a] :
      ( ( ( t = SV2 )
        = $false )
      | ( ( sK1_X
          @ ^ [SY13: a] :
              ( ( SV1 @ SY13 )
              | ( SV2 = SY13 ) ) )
        = $true )
      | ( ( sK1_X @ SV1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[18]) ).

thf(20,plain,
    ! [SV1: a > $o] :
      ( ( ( sK1_X @ SV1 )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( ( SV1 @ SX0 )
              | ( t = SX0 ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[19:[bind(SV2,$thf( t ))]]) ).

thf(21,plain,
    ( ( ( sK1_X
        @ ^ [Xy: a] : ( t = Xy ) )
      = ( sK1_X
        @ ^ [Xy: a] : $false ) )
    = $false ),
    inference(res,[status(thm)],[14,11]) ).

thf(22,plain,
    ( ( ( t = sK2_E )
      = $true )
    | ( $false = $true ) ),
    inference(extuni,[status(esa)],[21]) ).

thf(24,plain,
    ( ( t = sK2_E )
    = $true ),
    inference(sim,[status(thm)],[22]) ).

thf(25,plain,
    ! [SV3: a > $o,SV4: a] :
      ( ( ( t = SV4 )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( ( SV3 @ SX0 )
              | ( SV4 = SX0 ) ) )
        = $true )
      | ( ( sK1_X @ SV3 )
        = $false ) ),
    inference(rename,[status(thm)],[19]) ).

thf(30,plain,
    ! [SV3: a > $o,SV4: a] :
      ( ( ( ( sK1_X
            @ ^ [SX0: a] :
                ( ( SV3 @ SX0 )
                | ( SV4 = SX0 ) ) )
          = ( sK1_X
            @ ^ [Xy: a] : ( t = Xy ) ) )
        = $false )
      | ( ( t = SV4 )
        = $false )
      | ( ( sK1_X @ SV3 )
        = $false ) ),
    inference(res,[status(thm)],[25,14]) ).

thf(31,plain,
    ! [SV3: a > $o,SV4: a] :
      ( ( ( ( sK1_X @ SV3 )
          = ( sK1_X
            @ ^ [Xy: a] : $false ) )
        = $false )
      | ( ( t = SV4 )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( ( SV3 @ SX0 )
              | ( SV4 = SX0 ) ) )
        = $true ) ),
    inference(res,[status(thm)],[25,11]) ).

thf(33,plain,
    ( ( sK1_X
      @ ^ [SX0: a] :
          ( $false
          | ( t = SX0 ) ) )
    = $true ),
    inference(extuni,[status(esa)],[31:[bind(SV4,$thf( t )),bind(SV3,$thf( ^ [SX0: a] : $false ))]]) ).

thf(34,plain,
    ! [SV3: a > $o] :
      ( ( ( sK1_X @ SV3 )
        = $false )
      | ( ( ( SV3 @ ( sK5_E @ t @ SV3 ) )
          | ( t
            = ( sK5_E @ t @ SV3 ) ) )
        = $true )
      | ( ( t
          = ( sK5_E @ t @ SV3 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[30:[bind(SV4,$thf( t ))]]) ).

thf(35,plain,
    ! [SV3: a > $o] :
      ( ( ( sK1_X @ SV3 )
        = $false )
      | ( ( ( SV3 @ ( sK5_E @ t @ SV3 ) )
          | ( t
            = ( sK5_E @ t @ SV3 ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t @ SV3 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[30:[bind(SV4,$thf( t ))]]) ).

thf(37,plain,
    ! [SV3: a > $o] :
      ( ( ( SV3 @ ( sK5_E @ t @ SV3 ) )
        = $false )
      | ( ( sK1_X @ SV3 )
        = $false )
      | ( ( t
          = ( sK5_E @ t @ SV3 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[35]) ).

thf(38,plain,
    ! [SV3: a > $o] :
      ( ( ( t
          = ( sK5_E @ t @ SV3 ) )
        = $false )
      | ( ( sK1_X @ SV3 )
        = $false )
      | ( ( t
          = ( sK5_E @ t @ SV3 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[35]) ).

thf(39,plain,
    ! [SV3: a > $o] :
      ( ( ( SV3 @ ( sK5_E @ t @ SV3 ) )
        = $true )
      | ( ( t
          = ( sK5_E @ t @ SV3 ) )
        = $true )
      | ( ( sK1_X @ SV3 )
        = $false )
      | ( ( t
          = ( sK5_E @ t @ SV3 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[34]) ).

thf(40,plain,
    ! [SV3: a > $o] :
      ( ( ( t
          = ( sK5_E @ t @ SV3 ) )
        = $false )
      | ( ( sK1_X @ SV3 )
        = $false ) ),
    inference(sim,[status(thm)],[38]) ).

thf(41,plain,
    ! [SV3: a > $o] :
      ( ( ( SV3 @ ( sK5_E @ t @ SV3 ) )
        = $true )
      | ( ( t
          = ( sK5_E @ t @ SV3 ) )
        = $true )
      | ( ( sK1_X @ SV3 )
        = $false ) ),
    inference(sim,[status(thm)],[39]) ).

thf(42,plain,
    ! [SV5: a > $o] :
      ( ( ( sK1_X @ SV5 )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( ( SV5 @ SX0 )
              | ( t = SX0 ) ) )
        = $true ) ),
    inference(rename,[status(thm)],[20]) ).

thf(45,plain,
    ! [SV5: a > $o,SV3: a > $o,SV4: a] :
      ( ( ( ( sK1_X
            @ ^ [SX0: a] :
                ( ( SV5 @ SX0 )
                | ( t = SX0 ) ) )
          = ( sK1_X @ SV3 ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false )
      | ( ( t = SV4 )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( ( SV3 @ SX0 )
              | ( SV4 = SX0 ) ) )
        = $true ) ),
    inference(res,[status(thm)],[42,25]) ).

thf(46,plain,
    ! [SV5: a > $o,SV3: a > $o,SV4: a] :
      ( ( ( ( sK1_X @ SV5 )
          = ( sK1_X
            @ ^ [SX0: a] :
                ( ( SV3 @ SX0 )
                | ( SV4 = SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( ( SV5 @ SX0 )
              | ( t = SX0 ) ) )
        = $true )
      | ( ( t = SV4 )
        = $false )
      | ( ( sK1_X @ SV3 )
        = $false ) ),
    inference(res,[status(thm)],[42,25]) ).

thf(48,plain,
    ! [SV5: a > $o] :
      ( ( ( ( sK1_X
            @ ^ [SX0: a] :
                ( ( SV5 @ SX0 )
                | ( t = SX0 ) ) )
          = ( sK1_X
            @ ^ [Xy: a] : ( t = Xy ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(res,[status(thm)],[42,14]) ).

thf(49,plain,
    ! [SV5: a > $o] :
      ( ( ( ( sK1_X @ SV5 )
          = ( sK1_X
            @ ^ [Xy: a] : $false ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( ( SV5 @ SX0 )
              | ( t = SX0 ) ) )
        = $true ) ),
    inference(res,[status(thm)],[42,11]) ).

thf(50,plain,
    ( ( sK1_X
      @ ^ [SX0: a] :
          ( $false
          | ( t = SX0 ) ) )
    = $true ),
    inference(extuni,[status(esa)],[49:[bind(SV5,$thf( ^ [SX0: a] : $false ))]]) ).

thf(51,plain,
    ! [SV5: a > $o] :
      ( ( ( sK1_X @ SV5 )
        = $false )
      | ( ( ( SV5 @ ( sK9_E @ SV5 ) )
          | ( t
            = ( sK9_E @ SV5 ) ) )
        = $true )
      | ( ( t
          = ( sK9_E @ SV5 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[48]) ).

thf(52,plain,
    ! [SV5: a > $o] :
      ( ( ( sK1_X @ SV5 )
        = $false )
      | ( ( ( SV5 @ ( sK9_E @ SV5 ) )
          | ( t
            = ( sK9_E @ SV5 ) ) )
        = $false )
      | ( ( t
          = ( sK9_E @ SV5 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[48]) ).

thf(53,plain,
    ! [SV3: a > $o] :
      ( ( ( sK1_X @ SV3 )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( ( SV3 @ SX0 )
              | ( t = SX0 )
              | ( t = SX0 ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[46:[bind(SV4,$thf( t )),bind(SV5,$thf( ^ [SX0: a] : ( ( SV3 @ SX0 ) | ( t = SX0 ) ) ))]]) ).

thf(54,plain,
    ! [SV5: a > $o] :
      ( ( ( sK1_X
          @ ^ [SX0: a] :
              ( ( SV5 @ SX0 )
              | ( t = SX0 )
              | ( t = SX0 ) ) )
        = $true )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extuni,[status(esa)],[45:[bind(SV4,$thf( t )),bind(SV3,$thf( ^ [SX0: a] : ( ( SV5 @ SX0 ) | ( t = SX0 ) ) ))]]) ).

thf(55,plain,
    ! [SV5: a > $o] :
      ( ( ( SV5 @ ( sK9_E @ SV5 ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false )
      | ( ( t
          = ( sK9_E @ SV5 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[52]) ).

thf(56,plain,
    ! [SV5: a > $o] :
      ( ( ( t
          = ( sK9_E @ SV5 ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false )
      | ( ( t
          = ( sK9_E @ SV5 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[52]) ).

thf(57,plain,
    ! [SV5: a > $o] :
      ( ( ( SV5 @ ( sK9_E @ SV5 ) )
        = $true )
      | ( ( t
          = ( sK9_E @ SV5 ) )
        = $true )
      | ( ( sK1_X @ SV5 )
        = $false )
      | ( ( t
          = ( sK9_E @ SV5 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[51]) ).

thf(58,plain,
    ! [SV5: a > $o] :
      ( ( ( t
          = ( sK9_E @ SV5 ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(sim,[status(thm)],[56]) ).

thf(59,plain,
    ! [SV5: a > $o] :
      ( ( ( SV5 @ ( sK9_E @ SV5 ) )
        = $true )
      | ( ( t
          = ( sK9_E @ SV5 ) )
        = $true )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(sim,[status(thm)],[57]) ).

thf(62,plain,
    ! [SV3: a > $o,SV4: a] :
      ( ( ( ( t = sK2_E )
          = ( t = SV4 ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( ( SV3 @ SX0 )
              | ( SV4 = SX0 ) ) )
        = $true )
      | ( ( sK1_X @ SV3 )
        = $false ) ),
    inference(res,[status(thm)],[24,25]) ).

thf(64,plain,
    ! [SV3: a > $o] :
      ( ( ( sK1_X @ SV3 )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( ( SV3 @ SX0 )
              | ( t = SX0 ) ) )
        = $true )
      | ( ( sK2_E = t )
        = $false ) ),
    inference(extuni,[status(esa)],[62:[bind(SV4,$thf( t ))]]) ).

thf(65,plain,
    ! [SV3: a > $o] :
      ( ( ( sK1_X @ SV3 )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( ( SV3 @ SX0 )
              | ( sK2_E = SX0 ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[62:[bind(SV4,$thf( sK2_E ))]]) ).

thf(66,plain,
    ! [SV5: a > $o] :
      ( ( ( ( sK1_X
            @ ^ [SX0: a] :
                ( $false
                | ( t = SX0 ) ) )
          = ( sK1_X @ SV5 ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( ( SV5 @ SX0 )
              | ( t = SX0 ) ) )
        = $true ) ),
    inference(res,[status(thm)],[33,42]) ).

thf(67,plain,
    ! [SV3: a > $o,SV4: a] :
      ( ( ( ( sK1_X
            @ ^ [SX0: a] :
                ( $false
                | ( t = SX0 ) ) )
          = ( sK1_X @ SV3 ) )
        = $false )
      | ( ( t = SV4 )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( ( SV3 @ SX0 )
              | ( SV4 = SX0 ) ) )
        = $true ) ),
    inference(res,[status(thm)],[33,25]) ).

thf(69,plain,
    ( ( ( sK1_X
        @ ^ [SX0: a] :
            ( $false
            | ( t = SX0 ) ) )
      = ( sK1_X
        @ ^ [Xy: a] : ( t = Xy ) ) )
    = $false ),
    inference(res,[status(thm)],[33,14]) ).

thf(70,plain,
    ( ( ( $false
        | ( t = sK14_E ) )
      = $true )
    | ( ( t = sK14_E )
      = $true ) ),
    inference(extuni,[status(esa)],[69]) ).

thf(71,plain,
    ( ( ( $false
        | ( t = sK14_E ) )
      = $false )
    | ( ( t = sK14_E )
      = $false ) ),
    inference(extuni,[status(esa)],[69]) ).

thf(72,plain,
    ( ( sK1_X
      @ ^ [SX0: a] :
          ( $false
          | ( t = SX0 )
          | ( t = SX0 ) ) )
    = $true ),
    inference(extuni,[status(esa)],[67:[bind(SV4,$thf( t )),bind(SV3,$thf( ^ [SX0: a] : ( $false | ( t = SX0 ) ) ))]]) ).

thf(73,plain,
    ( ( sK1_X
      @ ^ [SX0: a] :
          ( $false
          | ( t = SX0 )
          | ( t = SX0 ) ) )
    = $true ),
    inference(extuni,[status(esa)],[66:[bind(SV5,$thf( ^ [SX0: a] : ( $false | ( t = SX0 ) ) ))]]) ).

thf(75,plain,
    ( ( ( t = sK14_E )
      = $false )
    | ( ( t = sK14_E )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[71]) ).

thf(76,plain,
    ( ( $false = $true )
    | ( ( t = sK14_E )
      = $true )
    | ( ( t = sK14_E )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[70]) ).

thf(77,plain,
    ( ( t = sK14_E )
    = $false ),
    inference(sim,[status(thm)],[75]) ).

thf(78,plain,
    ( ( t = sK14_E )
    = $true ),
    inference(sim,[status(thm)],[76]) ).

thf(80,plain,
    ! [SV7: a > $o] :
      ( ( ( SV7 @ ( sK5_E @ t @ SV7 ) )
        = $false )
      | ( ( sK1_X @ SV7 )
        = $false )
      | ( ( t
          = ( sK5_E @ t @ SV7 ) )
        = $false ) ),
    inference(rename,[status(thm)],[37]) ).

thf(82,plain,
    ! [SV7: a > $o,SV5: a > $o] :
      ( ( ( ( sK1_X @ SV7 )
          = ( sK1_X
            @ ^ [SX0: a] :
                ( ( SV5 @ SX0 )
                | ( t = SX0 ) ) ) )
        = $false )
      | ( ( SV7 @ ( sK5_E @ t @ SV7 ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t @ SV7 ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(res,[status(thm)],[80,42]) ).

thf(83,plain,
    ! [SV7: a > $o,SV5: a > $o] :
      ( ( ( ( SV7 @ ( sK5_E @ t @ SV7 ) )
          = ( sK1_X
            @ ^ [SX0: a] :
                ( ( SV5 @ SX0 )
                | ( t = SX0 ) ) ) )
        = $false )
      | ( ( sK1_X @ SV7 )
        = $false )
      | ( ( t
          = ( sK5_E @ t @ SV7 ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(res,[status(thm)],[80,42]) ).

thf(85,plain,
    ! [SV7: a > $o] :
      ( ( ( ( sK1_X @ SV7 )
          = ( sK1_X
            @ ^ [SX0: a] :
                ( $false
                | ( t = SX0 ) ) ) )
        = $false )
      | ( ( SV7 @ ( sK5_E @ t @ SV7 ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t @ SV7 ) )
        = $false ) ),
    inference(res,[status(thm)],[80,33]) ).

thf(86,plain,
    ! [SV7: a > $o] :
      ( ( ( ( SV7 @ ( sK5_E @ t @ SV7 ) )
          = ( sK1_X
            @ ^ [SX0: a] :
                ( $false
                | ( t = SX0 ) ) ) )
        = $false )
      | ( ( sK1_X @ SV7 )
        = $false )
      | ( ( t
          = ( sK5_E @ t @ SV7 ) )
        = $false ) ),
    inference(res,[status(thm)],[80,33]) ).

thf(88,plain,
    ! [SV7: a > $o,SV3: a > $o,SV4: a] :
      ( ( ( ( sK1_X @ SV7 )
          = ( sK1_X
            @ ^ [SX0: a] :
                ( ( SV3 @ SX0 )
                | ( SV4 = SX0 ) ) ) )
        = $false )
      | ( ( SV7 @ ( sK5_E @ t @ SV7 ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t @ SV7 ) )
        = $false )
      | ( ( t = SV4 )
        = $false )
      | ( ( sK1_X @ SV3 )
        = $false ) ),
    inference(res,[status(thm)],[80,25]) ).

thf(89,plain,
    ! [SV7: a > $o,SV3: a > $o,SV4: a] :
      ( ( ( ( SV7 @ ( sK5_E @ t @ SV7 ) )
          = ( sK1_X
            @ ^ [SX0: a] :
                ( ( SV3 @ SX0 )
                | ( SV4 = SX0 ) ) ) )
        = $false )
      | ( ( sK1_X @ SV7 )
        = $false )
      | ( ( t
          = ( sK5_E @ t @ SV7 ) )
        = $false )
      | ( ( t = SV4 )
        = $false )
      | ( ( sK1_X @ SV3 )
        = $false ) ),
    inference(res,[status(thm)],[80,25]) ).

thf(90,plain,
    ! [SV7: a > $o] :
      ( ( ( ( t
            = ( sK5_E @ t @ SV7 ) )
          = ( t = sK2_E ) )
        = $false )
      | ( ( SV7 @ ( sK5_E @ t @ SV7 ) )
        = $false )
      | ( ( sK1_X @ SV7 )
        = $false ) ),
    inference(res,[status(thm)],[80,24]) ).

thf(92,plain,
    ! [SV7: a > $o] :
      ( ( ( ( SV7 @ ( sK5_E @ t @ SV7 ) )
          = ( t = sK2_E ) )
        = $false )
      | ( ( sK1_X @ SV7 )
        = $false )
      | ( ( t
          = ( sK5_E @ t @ SV7 ) )
        = $false ) ),
    inference(res,[status(thm)],[80,24]) ).

thf(95,plain,
    ! [SV7: a > $o] :
      ( ( ( ( SV7 @ ( sK5_E @ t @ SV7 ) )
          = ( sK1_X
            @ ^ [Xy: a] : $false ) )
        = $false )
      | ( ( sK1_X @ SV7 )
        = $false )
      | ( ( t
          = ( sK5_E @ t @ SV7 ) )
        = $false ) ),
    inference(res,[status(thm)],[80,11]) ).

thf(119,plain,
    ( ( ( t
        = ( sK5_E @ t
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] : $false ) ) )
      = $false )
    | ( ( sK1_X
        @ ^ [SX0: a] :
            ( sK1_X
            @ ^ [SX1: a] : $false ) )
      = $false ) ),
    inference(extuni,[status(esa)],[95:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : $false ) ))]]) ).

thf(120,plain,
    ! [SV57: a > a > $o] :
      ( ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] : ( sK1_X @ ( SV57 @ SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] : ( sK1_X @ ( SV57 @ SX0 ) ) )
        = $false )
      | ( ( sK1_X
          @ ( SV57
            @ ( sK5_E @ t
              @ ^ [SX0: a] : ( sK1_X @ ( SV57 @ SX0 ) ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] : $false )
        = $true ) ),
    inference(extuni,[status(esa)],[95:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ( SV57 @ SX0 ) ) ))]]) ).

thf(121,plain,
    ! [SV57: a > a > $o] :
      ( ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] : ( sK1_X @ ( SV57 @ SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] : ( sK1_X @ ( SV57 @ SX0 ) ) )
        = $false )
      | ( ( sK1_X
          @ ( SV57
            @ ( sK5_E @ t
              @ ^ [SX0: a] : ( sK1_X @ ( SV57 @ SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] : $false )
        = $false ) ),
    inference(extuni,[status(esa)],[95:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ( SV57 @ SX0 ) ) ))]]) ).

thf(123,plain,
    ( ( ( t
        = ( sK5_E @ t
          @ ^ [SX0: a] : ( SX0 = SX0 ) ) )
      = $false )
    | ( ( sK1_X
        @ ^ [SX0: a] : ( SX0 = SX0 ) )
      = $false )
    | ( ( ( sK5_E @ t
          @ ^ [SX0: a] : ( SX0 = SX0 ) )
        = sK2_E )
      = $false )
    | ( ( ( sK5_E @ t
          @ ^ [SX0: a] : ( SX0 = SX0 ) )
        = t )
      = $false ) ),
    inference(extuni,[status(esa)],[92:[bind(SV7,$thf( ^ [SX0: a] : ( SX0 = SX0 ) ))]]) ).

thf(124,plain,
    ( ( ( t
        = ( sK5_E @ t
          @ ^ [SX0: a] : ( sK2_E = SX0 ) ) )
      = $false )
    | ( ( sK1_X
        @ ^ [SX0: a] : ( sK2_E = SX0 ) )
      = $false )
    | ( ( ( sK5_E @ t
          @ ^ [SX0: a] : ( sK2_E = SX0 ) )
        = t )
      = $false ) ),
    inference(extuni,[status(esa)],[92:[bind(SV7,$thf( ^ [SX0: a] : ( sK2_E = SX0 ) ))]]) ).

thf(125,plain,
    ( ( ( t
        = ( sK5_E @ t
          @ ^ [SX0: a] : ( SX0 = t ) ) )
      = $false )
    | ( ( sK1_X
        @ ^ [SX0: a] : ( SX0 = t ) )
      = $false )
    | ( ( ( sK5_E @ t
          @ ^ [SX0: a] : ( SX0 = t ) )
        = sK2_E )
      = $false ) ),
    inference(extuni,[status(esa)],[92:[bind(SV7,$thf( ^ [SX0: a] : ( SX0 = t ) ))]]) ).

thf(126,plain,
    ( ( ( t
        = ( sK5_E @ t
          @ ^ [SX0: a] : ( sK2_E = t ) ) )
      = $false )
    | ( ( sK1_X
        @ ^ [SX0: a] : ( sK2_E = t ) )
      = $false ) ),
    inference(extuni,[status(esa)],[92:[bind(SV7,$thf( ^ [SX0: a] : ( sK2_E = t ) ))]]) ).

thf(127,plain,
    ( ( ( t
        = ( sK5_E @ t
          @ ^ [SX0: a] : ( SX0 = SX0 ) ) )
      = $false )
    | ( ( sK1_X
        @ ^ [SX0: a] : ( SX0 = SX0 ) )
      = $false )
    | ( ( ( sK5_E @ t
          @ ^ [SX0: a] : ( SX0 = SX0 ) )
        = sK2_E )
      = $false )
    | ( ( ( sK5_E @ t
          @ ^ [SX0: a] : ( SX0 = SX0 ) )
        = t )
      = $false ) ),
    inference(extuni,[status(esa)],[92:[bind(SV7,$thf( ^ [SX0: a] : ( SX0 = SX0 ) ))]]) ).

thf(128,plain,
    ( ( ( t
        = ( sK5_E @ t
          @ ^ [SX0: a] : ( SX0 = sK2_E ) ) )
      = $false )
    | ( ( sK1_X
        @ ^ [SX0: a] : ( SX0 = sK2_E ) )
      = $false )
    | ( ( ( sK5_E @ t
          @ ^ [SX0: a] : ( SX0 = sK2_E ) )
        = t )
      = $false ) ),
    inference(extuni,[status(esa)],[92:[bind(SV7,$thf( ^ [SX0: a] : ( SX0 = sK2_E ) ))]]) ).

thf(129,plain,
    ( ( ( t
        = ( sK5_E @ t
          @ ^ [SX0: a] : ( t = SX0 ) ) )
      = $false )
    | ( ( sK1_X
        @ ^ [SX0: a] : ( t = SX0 ) )
      = $false )
    | ( ( ( sK5_E @ t
          @ ^ [SX0: a] : ( t = SX0 ) )
        = sK2_E )
      = $false ) ),
    inference(extuni,[status(esa)],[92:[bind(SV7,$thf( ^ [SX0: a] : ( t = SX0 ) ))]]) ).

thf(130,plain,
    ( ( ( t
        = ( sK5_E @ t
          @ ^ [SX0: a] : ( t = sK2_E ) ) )
      = $false )
    | ( ( sK1_X
        @ ^ [SX0: a] : ( t = sK2_E ) )
      = $false ) ),
    inference(extuni,[status(esa)],[92:[bind(SV7,$thf( ^ [SX0: a] : ( t = sK2_E ) ))]]) ).

thf(131,plain,
    ! [SV65: a > a,SV64: a > a] :
      ( ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( ( SV64 @ SX0 )
                = ( SV65 @ SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( ( SV64 @ SX0 )
              = ( SV65 @ SX0 ) ) )
        = $false )
      | ( ( ( SV64
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( ( SV64 @ SX0 )
                  = ( SV65 @ SX0 ) ) ) )
          = ( SV65
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( ( SV64 @ SX0 )
                  = ( SV65 @ SX0 ) ) ) ) )
        = $true )
      | ( ( t = sK2_E )
        = $true ) ),
    inference(extuni,[status(esa)],[92:[bind(SV7,$thf( ^ [SX0: a] : ( ( SV64 @ SX0 ) = ( SV65 @ SX0 ) ) ))]]) ).

thf(132,plain,
    ! [SV65: a > a,SV64: a > a] :
      ( ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( ( SV64 @ SX0 )
                = ( SV65 @ SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( ( SV64 @ SX0 )
              = ( SV65 @ SX0 ) ) )
        = $false )
      | ( ( ( SV64
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( ( SV64 @ SX0 )
                  = ( SV65 @ SX0 ) ) ) )
          = ( SV65
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( ( SV64 @ SX0 )
                  = ( SV65 @ SX0 ) ) ) ) )
        = $false )
      | ( ( t = sK2_E )
        = $false ) ),
    inference(extuni,[status(esa)],[92:[bind(SV7,$thf( ^ [SX0: a] : ( ( SV64 @ SX0 ) = ( SV65 @ SX0 ) ) ))]]) ).

thf(133,plain,
    ! [SV7: a > $o] :
      ( ( ( sK1_X @ SV7 )
        = $false )
      | ( ( SV7 @ ( sK5_E @ t @ SV7 ) )
        = $false )
      | ( ( t = sK2_E )
        = $false )
      | ( ( ( sK5_E @ t @ SV7 )
          = t )
        = $false ) ),
    inference(extuni,[status(esa)],[90]) ).

thf(134,plain,
    ! [SV7: a > $o] :
      ( ( ( sK1_X @ SV7 )
        = $false )
      | ( ( SV7 @ ( sK5_E @ t @ SV7 ) )
        = $false )
      | ( ( ( sK5_E @ t @ SV7 )
          = sK2_E )
        = $false ) ),
    inference(extuni,[status(esa)],[90]) ).

thf(135,plain,
    ! [SV3: a > $o,SV92: a > a > a,SV91: a > a > a,SV86: a > a > $o] :
      ( ( ( sK1_X @ SV3 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( SV91 @ SX0 @ SX1 )
                      = ( SV92 @ SX0 @ SX1 ) )
                    | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( SV91
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV91 @ SX0 @ SX1 )
                        = ( SV92 @ SX0 @ SX1 ) )
                      | ( SV86 @ SX0 @ SX1 ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
          = ( SV92
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV91 @ SX0 @ SX1 )
                        = ( SV92 @ SX0 @ SX1 ) )
                      | ( SV86 @ SX0 @ SX1 ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( t
          = ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV91 @ SX0 @ SX1 )
                  = ( SV92 @ SX0 @ SX1 ) )
                | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ( SV86
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV91 @ SX0 @ SX1 )
                        = ( SV92 @ SX0 @ SX1 ) )
                      | ( SV86 @ SX0 @ SX1 ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
          = ( SV3
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[89:[bind(SV4,$thf( t )),bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( ( SV91 @ SX0 @ SX1 ) = ( SV92 @ SX0 @ SX1 ) ) | ( SV86 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(136,plain,
    ! [SV3: a > $o,SV92: a > a > a,SV91: a > a > a,SV86: a > a > $o] :
      ( ( ( sK1_X @ SV3 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( SV91 @ SX0 @ SX1 )
                      = ( SV92 @ SX0 @ SX1 ) )
                    | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( SV91
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV91 @ SX0 @ SX1 )
                        = ( SV92 @ SX0 @ SX1 ) )
                      | ( SV86 @ SX0 @ SX1 ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
          = ( SV92
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV91 @ SX0 @ SX1 )
                        = ( SV92 @ SX0 @ SX1 ) )
                      | ( SV86 @ SX0 @ SX1 ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV91 @ SX0 @ SX1 )
                  = ( SV92 @ SX0 @ SX1 ) )
                | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( SV86
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV91 @ SX0 @ SX1 )
                        = ( SV92 @ SX0 @ SX1 ) )
                      | ( SV86 @ SX0 @ SX1 ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
          = ( SV3
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[89:[bind(SV4,$thf( t )),bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( ( SV91 @ SX0 @ SX1 ) = ( SV92 @ SX0 @ SX1 ) ) | ( SV86 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(137,plain,
    ! [SV3: a > $o,SV98: a > a > a,SV97: a > a > a,SV85: a > a > $o] :
      ( ( ( sK1_X @ SV3 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV85 @ SX0 @ SX1 )
                    | ( ( SV97 @ SX0 @ SX1 )
                      = ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( SV97
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( ( SV97 @ SX0 @ SX1 )
                        = ( SV98 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) )
          = ( SV98
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( ( SV97 @ SX0 @ SX1 )
                        = ( SV98 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
        = $true )
      | ( ( t
          = ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( SV85 @ SX0 @ SX1 )
                | ( ( SV97 @ SX0 @ SX1 )
                  = ( SV98 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV85
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( ( SV97 @ SX0 @ SX1 )
                        = ( SV98 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) )
          = ( SV3
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[89:[bind(SV4,$thf( t )),bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SV85 @ SX0 @ SX1 ) | ( ( SV97 @ SX0 @ SX1 ) = ( SV98 @ SX0 @ SX1 ) ) ) ) ))]]) ).

thf(138,plain,
    ! [SV3: a > $o,SV98: a > a > a,SV97: a > a > a,SV85: a > a > $o] :
      ( ( ( sK1_X @ SV3 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV85 @ SX0 @ SX1 )
                    | ( ( SV97 @ SX0 @ SX1 )
                      = ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( SV97
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( ( SV97 @ SX0 @ SX1 )
                        = ( SV98 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) )
          = ( SV98
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( ( SV97 @ SX0 @ SX1 )
                        = ( SV98 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( SV85 @ SX0 @ SX1 )
                | ( ( SV97 @ SX0 @ SX1 )
                  = ( SV98 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( SV85
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( ( SV97 @ SX0 @ SX1 )
                        = ( SV98 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) )
          = ( SV3
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[89:[bind(SV4,$thf( t )),bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SV85 @ SX0 @ SX1 ) | ( ( SV97 @ SX0 @ SX1 ) = ( SV98 @ SX0 @ SX1 ) ) ) ) ))]]) ).

thf(139,plain,
    ! [SV86: a > a > $o,SV85: a > a > $o,SV3: a > $o] :
      ( ( ( sK1_X @ SV3 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV85 @ SX0 @ SX1 )
                    | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( SV85
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( SV86 @ SX0 @ SX1 ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
          | ( SV86
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( SV86 @ SX0 @ SX1 ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV3
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
          | ( t
            = ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[89:[bind(SV4,$thf( t )),bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SV85 @ SX0 @ SX1 ) | ( SV86 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(140,plain,
    ! [SV86: a > a > $o,SV85: a > a > $o,SV3: a > $o] :
      ( ( ( sK1_X @ SV3 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV85 @ SX0 @ SX1 )
                    | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( SV85
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( SV86 @ SX0 @ SX1 ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
          | ( SV86
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( SV86 @ SX0 @ SX1 ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( SV3
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
          | ( t
            = ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[89:[bind(SV4,$thf( t )),bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SV85 @ SX0 @ SX1 ) | ( SV86 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(141,plain,
    ! [SV80: a > a > $o,SV3: a > $o] :
      ( ( ( sK1_X @ SV3 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] : ( sK1_X @ ( SV80 @ SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] : ( sK1_X @ ( SV80 @ SX0 ) ) )
        = $false )
      | ( ( sK1_X
          @ ( SV80
            @ ( sK5_E @ t
              @ ^ [SX0: a] : ( sK1_X @ ( SV80 @ SX0 ) ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( ( SV3 @ SX0 )
              | ( t = SX0 ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[89:[bind(SV4,$thf( t )),bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ( SV80 @ SX0 ) ) ))]]) ).

thf(142,plain,
    ! [SV80: a > a > $o,SV3: a > $o] :
      ( ( ( sK1_X @ SV3 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] : ( sK1_X @ ( SV80 @ SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] : ( sK1_X @ ( SV80 @ SX0 ) ) )
        = $false )
      | ( ( sK1_X
          @ ( SV80
            @ ( sK5_E @ t
              @ ^ [SX0: a] : ( sK1_X @ ( SV80 @ SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( ( SV3 @ SX0 )
              | ( t = SX0 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[89:[bind(SV4,$thf( t )),bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ( SV80 @ SX0 ) ) ))]]) ).

thf(143,plain,
    ! [SV3: a > $o] :
      ( ( ( sK1_X @ SV3 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( ( SV3 @ SX0 )
                | ( t = SX0 ) ) ) )
        = $false )
      | ( ( ( SV3
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( ( SV3 @ SX0 )
                  | ( t = SX0 ) ) ) )
          | ( t
            = ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( ( SV3 @ SX0 )
                  | ( t = SX0 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[88:[bind(SV4,$thf( t )),bind(SV7,$thf( ^ [SX0: a] : ( ( SV3 @ SX0 ) | ( t = SX0 ) ) ))]]) ).

thf(144,plain,
    ! [SV117: a > a > a,SV116: a > a > a] :
      ( ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( SV116 @ SX0 @ SX1 )
                      = ( SV117 @ SX0 @ SX1 ) )
                    | $false ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( SV116 @ SX0 @ SX1 )
                    = ( SV117 @ SX0 @ SX1 ) )
                  | $false ) ) )
        = $false )
      | ( ( ( SV116
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV116 @ SX0 @ SX1 )
                        = ( SV117 @ SX0 @ SX1 ) )
                      | $false ) ) )
            @ ( sK22_E
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV116 @ SX0 @ SX1 )
                    = ( SV117 @ SX0 @ SX1 ) )
                  | $false ) ) )
          = ( SV117
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV116 @ SX0 @ SX1 )
                        = ( SV117 @ SX0 @ SX1 ) )
                      | $false ) ) )
            @ ( sK22_E
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV116 @ SX0 @ SX1 )
                    = ( SV117 @ SX0 @ SX1 ) )
                  | $false ) ) ) )
        = $true )
      | ( ( t
          = ( sK22_E
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV116 @ SX0 @ SX1 )
                  = ( SV117 @ SX0 @ SX1 ) )
                | $false ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[86:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( ( SV116 @ SX0 @ SX1 ) = ( SV117 @ SX0 @ SX1 ) ) | $false ) ) ))]]) ).

thf(145,plain,
    ! [SV117: a > a > a,SV116: a > a > a] :
      ( ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( SV116 @ SX0 @ SX1 )
                      = ( SV117 @ SX0 @ SX1 ) )
                    | $false ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( SV116 @ SX0 @ SX1 )
                    = ( SV117 @ SX0 @ SX1 ) )
                  | $false ) ) )
        = $false )
      | ( ( ( SV116
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV116 @ SX0 @ SX1 )
                        = ( SV117 @ SX0 @ SX1 ) )
                      | $false ) ) )
            @ ( sK22_E
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV116 @ SX0 @ SX1 )
                    = ( SV117 @ SX0 @ SX1 ) )
                  | $false ) ) )
          = ( SV117
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV116 @ SX0 @ SX1 )
                        = ( SV117 @ SX0 @ SX1 ) )
                      | $false ) ) )
            @ ( sK22_E
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV116 @ SX0 @ SX1 )
                    = ( SV117 @ SX0 @ SX1 ) )
                  | $false ) ) ) )
        = $false )
      | ( ( t
          = ( sK22_E
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV116 @ SX0 @ SX1 )
                  = ( SV117 @ SX0 @ SX1 ) )
                | $false ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[86:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( ( SV116 @ SX0 @ SX1 ) = ( SV117 @ SX0 @ SX1 ) ) | $false ) ) ))]]) ).

thf(146,plain,
    ! [SV165: a > a > a,SV164: a > a > a] :
      ( ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( $false
                    | ( ( SV164 @ SX0 @ SX1 )
                      = ( SV165 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( $false
                  | ( ( SV164 @ SX0 @ SX1 )
                    = ( SV165 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( SV164
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( $false
                      | ( ( SV164 @ SX0 @ SX1 )
                        = ( SV165 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK22_E
              @ ^ [SX0: a,SX1: a] :
                  ( $false
                  | ( ( SV164 @ SX0 @ SX1 )
                    = ( SV165 @ SX0 @ SX1 ) ) ) ) )
          = ( SV165
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( $false
                      | ( ( SV164 @ SX0 @ SX1 )
                        = ( SV165 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK22_E
              @ ^ [SX0: a,SX1: a] :
                  ( $false
                  | ( ( SV164 @ SX0 @ SX1 )
                    = ( SV165 @ SX0 @ SX1 ) ) ) ) ) )
        = $true )
      | ( ( t
          = ( sK22_E
            @ ^ [SX0: a,SX1: a] :
                ( $false
                | ( ( SV164 @ SX0 @ SX1 )
                  = ( SV165 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[86:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( $false | ( ( SV164 @ SX0 @ SX1 ) = ( SV165 @ SX0 @ SX1 ) ) ) ) ))]]) ).

thf(147,plain,
    ! [SV165: a > a > a,SV164: a > a > a] :
      ( ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( $false
                    | ( ( SV164 @ SX0 @ SX1 )
                      = ( SV165 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( $false
                  | ( ( SV164 @ SX0 @ SX1 )
                    = ( SV165 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( SV164
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( $false
                      | ( ( SV164 @ SX0 @ SX1 )
                        = ( SV165 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK22_E
              @ ^ [SX0: a,SX1: a] :
                  ( $false
                  | ( ( SV164 @ SX0 @ SX1 )
                    = ( SV165 @ SX0 @ SX1 ) ) ) ) )
          = ( SV165
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( $false
                      | ( ( SV164 @ SX0 @ SX1 )
                        = ( SV165 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK22_E
              @ ^ [SX0: a,SX1: a] :
                  ( $false
                  | ( ( SV164 @ SX0 @ SX1 )
                    = ( SV165 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK22_E
            @ ^ [SX0: a,SX1: a] :
                ( $false
                | ( ( SV164 @ SX0 @ SX1 )
                  = ( SV165 @ SX0 @ SX1 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[86:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( $false | ( ( SV164 @ SX0 @ SX1 ) = ( SV165 @ SX0 @ SX1 ) ) ) ) ))]]) ).

thf(148,plain,
    ! [SV107: a > a > $o,SV106: a > a > $o] :
      ( ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV106 @ SX0 @ SX1 )
                    | ( SV107 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV106 @ SX0 @ SX1 )
                  | ( SV107 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( SV106
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV106 @ SX0 @ SX1 )
                      | ( SV107 @ SX0 @ SX1 ) ) ) )
            @ ( sK22_E
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV106 @ SX0 @ SX1 )
                  | ( SV107 @ SX0 @ SX1 ) ) ) )
          | ( SV107
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV106 @ SX0 @ SX1 )
                      | ( SV107 @ SX0 @ SX1 ) ) ) )
            @ ( sK22_E
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV106 @ SX0 @ SX1 )
                  | ( SV107 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( $false
          | ( t
            = ( sK22_E
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV106 @ SX0 @ SX1 )
                  | ( SV107 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[86:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SV106 @ SX0 @ SX1 ) | ( SV107 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(149,plain,
    ! [SV107: a > a > $o,SV106: a > a > $o] :
      ( ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV106 @ SX0 @ SX1 )
                    | ( SV107 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV106 @ SX0 @ SX1 )
                  | ( SV107 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( SV106
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV106 @ SX0 @ SX1 )
                      | ( SV107 @ SX0 @ SX1 ) ) ) )
            @ ( sK22_E
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV106 @ SX0 @ SX1 )
                  | ( SV107 @ SX0 @ SX1 ) ) ) )
          | ( SV107
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV106 @ SX0 @ SX1 )
                      | ( SV107 @ SX0 @ SX1 ) ) ) )
            @ ( sK22_E
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV106 @ SX0 @ SX1 )
                  | ( SV107 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( $false
          | ( t
            = ( sK22_E
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV106 @ SX0 @ SX1 )
                  | ( SV107 @ SX0 @ SX1 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[86:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SV106 @ SX0 @ SX1 ) | ( SV107 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(150,plain,
    ! [SV101: a > a > $o] :
      ( ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] : ( sK1_X @ ( SV101 @ SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] : ( sK1_X @ ( SV101 @ SX0 ) ) )
        = $false )
      | ( ( sK1_X
          @ ( SV101
            @ ( sK5_E @ t
              @ ^ [SX0: a] : ( sK1_X @ ( SV101 @ SX0 ) ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( $false
              | ( t = SX0 ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[86:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ( SV101 @ SX0 ) ) ))]]) ).

thf(151,plain,
    ! [SV101: a > a > $o] :
      ( ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] : ( sK1_X @ ( SV101 @ SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] : ( sK1_X @ ( SV101 @ SX0 ) ) )
        = $false )
      | ( ( sK1_X
          @ ( SV101
            @ ( sK5_E @ t
              @ ^ [SX0: a] : ( sK1_X @ ( SV101 @ SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( $false
              | ( t = SX0 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[86:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ( SV101 @ SX0 ) ) ))]]) ).

thf(152,plain,
    ( ( ( t
        = ( sK5_E @ t
          @ ^ [SX0: a] :
              ( $false
              | ( t = SX0 ) ) ) )
      = $false )
    | ( ( $false
        | ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( $false
                | ( t = SX0 ) ) ) ) )
      = $false ) ),
    inference(extuni,[status(esa)],[85:[bind(SV7,$thf( ^ [SX0: a] : ( $false | ( t = SX0 ) ) ))]]) ).

thf(153,plain,
    ! [SV5: a > $o,SV240: a > a > a > a > $o,SV239: a > a > a > $o,SV212: a > a > $o] :
      ( ( ( sK1_X @ SV5 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                      = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                    = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( sK23_E
            @ ( SV239
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                          = SX1 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                      = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV240
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                          = SX1 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                      = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                  = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                  = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                        = SX1 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                    = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                    = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) ) = SX1 ) | ( SV212 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(154,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( sK1_X @ SV5 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SX1 = SX1 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX1 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX1 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SX1 = SX1 ) | ( SV212 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(155,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( sK1_X @ SV5 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SX0 = SX1 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX0 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX0 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SX0 = SX1 ) | ( SV212 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(156,plain,
    ! [SV5: a > $o,SV234: a > a > a > a > $o,SV233: a > a > a > $o,SV212: a > a > $o] :
      ( ( ( sK1_X @ SV5 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                      = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                    = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( sK23_E
            @ ( SV233
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                          = SX0 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                      = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV234
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                          = SX0 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                      = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                  = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                      = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                        = SX0 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                    = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                    = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) ) = SX0 ) | ( SV212 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(157,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( sK1_X @ SV5 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SX1 = SX0 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX1 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX1 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SX1 = SX0 ) | ( SV212 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(158,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( sK1_X @ SV5 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SX0 = SX0 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX0 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX0 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SX0 = SX0 ) | ( SV212 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(159,plain,
    ! [SV5: a > $o,SV228: a > a > a > a > $o,SV227: a > a > a > $o,SV212: a > a > $o] :
      ( ( ( sK1_X @ SV5 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                      = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                    = t )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( sK23_E
            @ ( SV227
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                          = t )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                      = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV228
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                          = t )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                      = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                  = t )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                        = t )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                    = t )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                    = t )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) ) = t ) | ( SV212 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(160,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( sK1_X @ SV5 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1 = t )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SX1 = t )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX1 = t )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX1 = t )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SX1 = t ) | ( SV212 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(161,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( sK1_X @ SV5 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0 = t )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = t )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SX0 = t )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX0 = t )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX0 = t )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SX0 = t ) | ( SV212 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(162,plain,
    ! [SV5: a > $o,SV262: a > a > a > a > $o,SV261: a > a > a > $o,SV212: a > a > $o] :
      ( ( ( sK1_X @ SV5 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1
                      = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1
                    = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( sK23_E
            @ ( SV261
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX1
                          = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX1
                      = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV262
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX1
                          = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX1
                      = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1
                  = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1
                  = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SX1
                        = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX1
                    = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX1
                    = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SX1 = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) ) | ( SV212 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(163,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( sK1_X @ SV5 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SX1 = SX1 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX1 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX1 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SX1 = SX1 ) | ( SV212 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(164,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( sK1_X @ SV5 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SX1 = SX0 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX1 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX1 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SX1 = SX0 ) | ( SV212 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(165,plain,
    ! [SV5: a > $o,SV256: a > a > a > a > $o,SV255: a > a > a > $o,SV212: a > a > $o] :
      ( ( ( sK1_X @ SV5 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0
                      = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0
                    = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( sK23_E
            @ ( SV255
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX0
                          = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX0
                      = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV256
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX0
                          = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX0
                      = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0
                  = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0
                      = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SX0
                        = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX0
                    = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX0
                    = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SX0 = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) ) | ( SV212 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(166,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( sK1_X @ SV5 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SX0 = SX1 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX0 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX0 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SX0 = SX1 ) | ( SV212 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(167,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( sK1_X @ SV5 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SX0 = SX0 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX0 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX0 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SX0 = SX0 ) | ( SV212 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(168,plain,
    ! [SV5: a > $o,SV250: a > a > a > a > $o,SV249: a > a > a > $o,SV212: a > a > $o] :
      ( ( ( sK1_X @ SV5 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( t
                      = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( t
                    = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( sK23_E
            @ ( SV249
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( t
                          = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( t
                      = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV250
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( t
                          = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( t
                      = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( t
                  = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( t
                        = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( t
                    = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( t
                    = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( t = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) ) | ( SV212 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(169,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( sK1_X @ SV5 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( t = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( t = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( t = SX1 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( t = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( t = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( t = SX1 ) | ( SV212 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(170,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( sK1_X @ SV5 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( t = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( t = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( t = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( t = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( t = SX0 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( t = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( t = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( t = SX0 ) | ( SV212 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(171,plain,
    ! [SV5: a > $o,SV218: a > a > a,SV217: a > a > a,SV212: a > a > $o] :
      ( ( ( sK1_X @ SV5 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( SV217 @ SX0 @ SX1 )
                      = ( SV218 @ SX0 @ SX1 ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( SV217
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV217 @ SX0 @ SX1 )
                        = ( SV218 @ SX0 @ SX1 ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV218
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV217 @ SX0 @ SX1 )
                        = ( SV218 @ SX0 @ SX1 ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( t
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV217 @ SX0 @ SX1 )
                  = ( SV218 @ SX0 @ SX1 ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV217 @ SX0 @ SX1 )
                        = ( SV218 @ SX0 @ SX1 ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( ( SV217 @ SX0 @ SX1 ) = ( SV218 @ SX0 @ SX1 ) ) | ( SV212 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(172,plain,
    ! [SV5: a > $o,SV218: a > a > a,SV217: a > a > a,SV212: a > a > $o] :
      ( ( ( sK1_X @ SV5 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( SV217 @ SX0 @ SX1 )
                      = ( SV218 @ SX0 @ SX1 ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( SV217
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV217 @ SX0 @ SX1 )
                        = ( SV218 @ SX0 @ SX1 ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV218
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV217 @ SX0 @ SX1 )
                        = ( SV218 @ SX0 @ SX1 ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV217 @ SX0 @ SX1 )
                  = ( SV218 @ SX0 @ SX1 ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV217 @ SX0 @ SX1 )
                        = ( SV218 @ SX0 @ SX1 ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( ( SV217 @ SX0 @ SX1 ) = ( SV218 @ SX0 @ SX1 ) ) | ( SV212 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(173,plain,
    ! [SV5: a > $o,SV290: a > a > a > a > $o,SV289: a > a > a > $o,SV211: a > a > $o] :
      ( ( ( sK1_X @ SV5 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                      = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                    = SX1 ) ) ) )
        = $false )
      | ( ( ( sK23_E
            @ ( SV289
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                          = SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                      = SX1 ) ) ) )
            @ ( SV290
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                          = SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                      = SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                  = SX1 ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                  = SX1 ) ) )
          = t )
        = $false )
      | ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                        = SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                    = SX1 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                    = SX1 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SV211 @ SX0 @ SX1 ) | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) ) = SX1 ) ) ) ))]]) ).

thf(174,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( sK1_X @ SV5 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX1 ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX1 ) ) )
          = t )
        = $false )
      | ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX1 = SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX1 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX1 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SV211 @ SX0 @ SX1 ) | ( SX1 = SX1 ) ) ) ))]]) ).

thf(175,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( sK1_X @ SV5 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX1 ) ) )
          = t )
        = $false )
      | ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX0 = SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX1 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX1 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SV211 @ SX0 @ SX1 ) | ( SX0 = SX1 ) ) ) ))]]) ).

thf(176,plain,
    ! [SV5: a > $o,SV284: a > a > a > a > $o,SV283: a > a > a > $o,SV211: a > a > $o] :
      ( ( ( sK1_X @ SV5 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                      = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                    = SX0 ) ) ) )
        = $false )
      | ( ( ( sK23_E
            @ ( SV283
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                          = SX0 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                      = SX0 ) ) ) )
            @ ( SV284
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                          = SX0 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                      = SX0 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                  = SX0 ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                      = SX0 ) ) ) )
          = t )
        = $false )
      | ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                        = SX0 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                    = SX0 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                    = SX0 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SV211 @ SX0 @ SX1 ) | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) ) = SX0 ) ) ) ))]]) ).

thf(177,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( sK1_X @ SV5 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX0 ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX0 ) ) ) )
          = t )
        = $false )
      | ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX1 = SX0 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX0 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX0 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SV211 @ SX0 @ SX1 ) | ( SX1 = SX0 ) ) ) ))]]) ).

thf(178,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( sK1_X @ SV5 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX0 ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX0 ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) )
          = t )
        = $false )
      | ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX0 = SX0 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX0 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX0 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SV211 @ SX0 @ SX1 ) | ( SX0 = SX0 ) ) ) ))]]) ).

thf(179,plain,
    ! [SV5: a > $o,SV278: a > a > a > a > $o,SV277: a > a > a > $o,SV211: a > a > $o] :
      ( ( ( sK1_X @ SV5 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                      = t ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                    = t ) ) ) )
        = $false )
      | ( ( ( sK23_E
            @ ( SV277
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                          = t ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                      = t ) ) ) )
            @ ( SV278
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                          = t ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                      = t ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                  = t ) ) ) )
        = $false )
      | ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                        = t ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                    = t ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                    = t ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SV211 @ SX0 @ SX1 ) | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) ) = t ) ) ) ))]]) ).

thf(180,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( sK1_X @ SV5 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = t ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = t ) ) ) )
        = $false )
      | ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX1 = t ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = t ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = t ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SV211 @ SX0 @ SX1 ) | ( SX1 = t ) ) ) ))]]) ).

thf(181,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( sK1_X @ SV5 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = t ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = t ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = t ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = t ) ) ) )
        = $false )
      | ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX0 = t ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = t ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = t ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SV211 @ SX0 @ SX1 ) | ( SX0 = t ) ) ) ))]]) ).

thf(182,plain,
    ! [SV5: a > $o,SV312: a > a > a > a > $o,SV311: a > a > a > $o,SV211: a > a > $o] :
      ( ( ( sK1_X @ SV5 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1
                      = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1
                    = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK23_E
            @ ( SV311
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX1
                          = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1
                      = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
            @ ( SV312
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX1
                          = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1
                      = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1
                  = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1
                  = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) )
          = t )
        = $false )
      | ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX1
                        = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1
                    = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1
                    = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SV211 @ SX0 @ SX1 ) | ( SX1 = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ))]]) ).

thf(183,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( sK1_X @ SV5 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX1 ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX1 ) ) )
          = t )
        = $false )
      | ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX1 = SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX1 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX1 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SV211 @ SX0 @ SX1 ) | ( SX1 = SX1 ) ) ) ))]]) ).

thf(184,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( sK1_X @ SV5 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX0 ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX0 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX0 ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX0 ) ) )
          = t )
        = $false )
      | ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX1 = SX0 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX0 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX0 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SV211 @ SX0 @ SX1 ) | ( SX1 = SX0 ) ) ) ))]]) ).

thf(185,plain,
    ! [SV5: a > $o,SV306: a > a > a > a > $o,SV305: a > a > a > $o,SV211: a > a > $o] :
      ( ( ( sK1_X @ SV5 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0
                      = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0
                    = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK23_E
            @ ( SV305
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX0
                          = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0
                      = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
            @ ( SV306
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX0
                          = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0
                      = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0
                  = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0
                      = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
          = t )
        = $false )
      | ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX0
                        = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0
                    = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0
                    = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SV211 @ SX0 @ SX1 ) | ( SX0 = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ))]]) ).

thf(186,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( sK1_X @ SV5 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX1 ) ) ) )
          = t )
        = $false )
      | ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX0 = SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX1 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX1 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SV211 @ SX0 @ SX1 ) | ( SX0 = SX1 ) ) ) ))]]) ).

thf(187,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( sK1_X @ SV5 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX0 ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX0 ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) )
          = t )
        = $false )
      | ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX0 = SX0 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX0 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX0 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SV211 @ SX0 @ SX1 ) | ( SX0 = SX0 ) ) ) ))]]) ).

thf(188,plain,
    ! [SV5: a > $o,SV300: a > a > a > a > $o,SV299: a > a > a > $o,SV211: a > a > $o] :
      ( ( ( sK1_X @ SV5 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t
                      = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( t
                    = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK23_E
            @ ( SV299
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( t
                          = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t
                      = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
            @ ( SV300
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( t
                          = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t
                      = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( t
                  = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( t
                        = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( t
                    = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( t
                    = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SV211 @ SX0 @ SX1 ) | ( t = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ))]]) ).

thf(189,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( sK1_X @ SV5 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( t = SX1 ) ) ) )
        = $false )
      | ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( t = SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( t = SX1 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( t = SX1 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SV211 @ SX0 @ SX1 ) | ( t = SX1 ) ) ) ))]]) ).

thf(190,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( sK1_X @ SV5 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( t = SX0 ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t = SX0 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( t = SX0 ) ) ) )
        = $false )
      | ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( t = SX0 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( t = SX0 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( t = SX0 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SV211 @ SX0 @ SX1 ) | ( t = SX0 ) ) ) ))]]) ).

thf(191,plain,
    ! [SV5: a > $o,SV268: a > a > a,SV267: a > a > a,SV211: a > a > $o] :
      ( ( ( sK1_X @ SV5 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( SV267 @ SX0 @ SX1 )
                      = ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( SV267
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( SV267 @ SX0 @ SX1 )
                        = ( SV268 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) )
          = ( SV268
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( SV267 @ SX0 @ SX1 )
                        = ( SV268 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
        = $true )
      | ( ( t
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( SV267 @ SX0 @ SX1 )
                  = ( SV268 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( SV267 @ SX0 @ SX1 )
                        = ( SV268 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SV211 @ SX0 @ SX1 ) | ( ( SV267 @ SX0 @ SX1 ) = ( SV268 @ SX0 @ SX1 ) ) ) ) ))]]) ).

thf(192,plain,
    ! [SV5: a > $o,SV268: a > a > a,SV267: a > a > a,SV211: a > a > $o] :
      ( ( ( sK1_X @ SV5 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( SV267 @ SX0 @ SX1 )
                      = ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( SV267
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( SV267 @ SX0 @ SX1 )
                        = ( SV268 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) )
          = ( SV268
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( SV267 @ SX0 @ SX1 )
                        = ( SV268 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( SV267 @ SX0 @ SX1 )
                  = ( SV268 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( SV267 @ SX0 @ SX1 )
                        = ( SV268 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SV211 @ SX0 @ SX1 ) | ( ( SV267 @ SX0 @ SX1 ) = ( SV268 @ SX0 @ SX1 ) ) ) ) ))]]) ).

thf(193,plain,
    ! [SV212: a > a > $o,SV211: a > a > $o,SV5: a > $o] :
      ( ( ( sK1_X @ SV5 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          | ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          | ( t
            = ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SV211 @ SX0 @ SX1 ) | ( SV212 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(194,plain,
    ! [SV212: a > a > $o,SV211: a > a > $o,SV5: a > $o] :
      ( ( ( sK1_X @ SV5 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          | ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          | ( t
            = ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ^ [SX1: a] : ( ( SV211 @ SX0 @ SX1 ) | ( SV212 @ SX0 @ SX1 ) ) ) ))]]) ).

thf(195,plain,
    ! [SV206: a > a > $o,SV5: a > $o] :
      ( ( ( sK1_X @ SV5 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] : ( sK1_X @ ( SV206 @ SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] : ( sK1_X @ ( SV206 @ SX0 ) ) )
        = $false )
      | ( ( sK1_X
          @ ( SV206
            @ ( sK5_E @ t
              @ ^ [SX0: a] : ( sK1_X @ ( SV206 @ SX0 ) ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( ( SV5 @ SX0 )
              | ( t = SX0 ) ) )
        = $true ) ),
    inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ( SV206 @ SX0 ) ) ))]]) ).

thf(196,plain,
    ! [SV206: a > a > $o,SV5: a > $o] :
      ( ( ( sK1_X @ SV5 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] : ( sK1_X @ ( SV206 @ SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] : ( sK1_X @ ( SV206 @ SX0 ) ) )
        = $false )
      | ( ( sK1_X
          @ ( SV206
            @ ( sK5_E @ t
              @ ^ [SX0: a] : ( sK1_X @ ( SV206 @ SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( ( SV5 @ SX0 )
              | ( t = SX0 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[83:[bind(SV7,$thf( ^ [SX0: a] : ( sK1_X @ ( SV206 @ SX0 ) ) ))]]) ).

thf(197,plain,
    ! [SV5: a > $o] :
      ( ( ( sK1_X @ SV5 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( ( SV5 @ SX0 )
                | ( t = SX0 ) ) ) )
        = $false )
      | ( ( ( SV5
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( ( SV5 @ SX0 )
                  | ( t = SX0 ) ) ) )
          | ( t
            = ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( ( SV5 @ SX0 )
                  | ( t = SX0 ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[82:[bind(SV7,$thf( ^ [SX0: a] : ( ( SV5 @ SX0 ) | ( t = SX0 ) ) ))]]) ).

thf(198,plain,
    ! [SV3: a > $o,SV86: a > a > $o,SV85: a > a > $o] :
      ( ( ( SV85
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV85 @ SX0 @ SX1 )
                    | ( SV86 @ SX0 @ SX1 ) ) ) )
          @ ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( SV85 @ SX0 @ SX1 )
                | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV85 @ SX0 @ SX1 )
                    | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV3 )
        = $false )
      | ( ( ( SV3
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
          | ( t
            = ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[140]) ).

thf(199,plain,
    ! [SV3: a > $o,SV85: a > a > $o,SV86: a > a > $o] :
      ( ( ( SV86
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV85 @ SX0 @ SX1 )
                    | ( SV86 @ SX0 @ SX1 ) ) ) )
          @ ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( SV85 @ SX0 @ SX1 )
                | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV85 @ SX0 @ SX1 )
                    | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV3 )
        = $false )
      | ( ( ( SV3
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
          | ( t
            = ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[140]) ).

thf(200,plain,
    ! [SV3: a > $o,SV86: a > a > $o,SV85: a > a > $o] :
      ( ( ( SV85
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV85 @ SX0 @ SX1 )
                    | ( SV86 @ SX0 @ SX1 ) ) ) )
          @ ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( SV85 @ SX0 @ SX1 )
                | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( SV86
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV85 @ SX0 @ SX1 )
                    | ( SV86 @ SX0 @ SX1 ) ) ) )
          @ ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( SV85 @ SX0 @ SX1 )
                | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV85 @ SX0 @ SX1 )
                    | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV3 )
        = $false )
      | ( ( ( SV3
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
          | ( t
            = ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[139]) ).

thf(201,plain,
    ! [SV3: a > $o,SV98: a > a > a,SV97: a > a > a,SV85: a > a > $o] :
      ( ( ( ~ ( ( SV85
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SV85 @ SX0 @ SX1 )
                          | ( ( SV97 @ SX0 @ SX1 )
                            = ( SV98 @ SX0 @ SX1 ) ) ) ) )
                @ ( sK21_E @ t @ SV3
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( ( SV97 @ SX0 @ SX1 )
                        = ( SV98 @ SX0 @ SX1 ) ) ) ) )
              | ( SV3
                @ ( sK21_E @ t @ SV3
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( ( SV97 @ SX0 @ SX1 )
                        = ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
          | ~ ( ~ ( SV85
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SV85 @ SX0 @ SX1 )
                            | ( ( SV97 @ SX0 @ SX1 )
                              = ( SV98 @ SX0 @ SX1 ) ) ) ) )
                  @ ( sK21_E @ t @ SV3
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV85 @ SX0 @ SX1 )
                        | ( ( SV97 @ SX0 @ SX1 )
                          = ( SV98 @ SX0 @ SX1 ) ) ) ) )
              | ~ ( SV3
                  @ ( sK21_E @ t @ SV3
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV85 @ SX0 @ SX1 )
                        | ( ( SV97 @ SX0 @ SX1 )
                          = ( SV98 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( SV85 @ SX0 @ SX1 )
                | ( ( SV97 @ SX0 @ SX1 )
                  = ( SV98 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( SV97
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( ( SV97 @ SX0 @ SX1 )
                        = ( SV98 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) )
          = ( SV98
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( ( SV97 @ SX0 @ SX1 )
                        = ( SV98 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV85 @ SX0 @ SX1 )
                    | ( ( SV97 @ SX0 @ SX1 )
                      = ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV3 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[138]) ).

thf(202,plain,
    ! [SV3: a > $o,SV98: a > a > a,SV97: a > a > a,SV85: a > a > $o] :
      ( ( ( ( SV85
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( ( SV97 @ SX0 @ SX1 )
                        = ( SV98 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) )
          = ( SV3
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( SV85 @ SX0 @ SX1 )
                | ( ( SV97 @ SX0 @ SX1 )
                  = ( SV98 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( SV97
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( ( SV97 @ SX0 @ SX1 )
                        = ( SV98 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) )
          = ( SV98
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( ( SV97 @ SX0 @ SX1 )
                        = ( SV98 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV85 @ SX0 @ SX1 )
                    | ( ( SV97 @ SX0 @ SX1 )
                      = ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV3 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[138]) ).

thf(203,plain,
    ! [SV3: a > $o,SV98: a > a > a,SV97: a > a > a,SV85: a > a > $o] :
      ( ( ( ~ ( ( SV85
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SV85 @ SX0 @ SX1 )
                          | ( ( SV97 @ SX0 @ SX1 )
                            = ( SV98 @ SX0 @ SX1 ) ) ) ) )
                @ ( sK21_E @ t @ SV3
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( ( SV97 @ SX0 @ SX1 )
                        = ( SV98 @ SX0 @ SX1 ) ) ) ) )
              | ( SV3
                @ ( sK21_E @ t @ SV3
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( ( SV97 @ SX0 @ SX1 )
                        = ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
          | ~ ( ~ ( SV85
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SV85 @ SX0 @ SX1 )
                            | ( ( SV97 @ SX0 @ SX1 )
                              = ( SV98 @ SX0 @ SX1 ) ) ) ) )
                  @ ( sK21_E @ t @ SV3
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV85 @ SX0 @ SX1 )
                        | ( ( SV97 @ SX0 @ SX1 )
                          = ( SV98 @ SX0 @ SX1 ) ) ) ) )
              | ~ ( SV3
                  @ ( sK21_E @ t @ SV3
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV85 @ SX0 @ SX1 )
                        | ( ( SV97 @ SX0 @ SX1 )
                          = ( SV98 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( SV85 @ SX0 @ SX1 )
                | ( ( SV97 @ SX0 @ SX1 )
                  = ( SV98 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV97
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( ( SV97 @ SX0 @ SX1 )
                        = ( SV98 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) )
          = ( SV98
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( ( SV97 @ SX0 @ SX1 )
                        = ( SV98 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV85 @ SX0 @ SX1 )
                    | ( ( SV97 @ SX0 @ SX1 )
                      = ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV3 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[137]) ).

thf(204,plain,
    ! [SV3: a > $o,SV98: a > a > a,SV97: a > a > a,SV85: a > a > $o] :
      ( ( ( ( SV85
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( ( SV97 @ SX0 @ SX1 )
                        = ( SV98 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) )
          = ( SV3
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( SV85 @ SX0 @ SX1 )
                | ( ( SV97 @ SX0 @ SX1 )
                  = ( SV98 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV97
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( ( SV97 @ SX0 @ SX1 )
                        = ( SV98 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) )
          = ( SV98
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( ( SV97 @ SX0 @ SX1 )
                        = ( SV98 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV85 @ SX0 @ SX1 )
                    | ( ( SV97 @ SX0 @ SX1 )
                      = ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV3 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[137]) ).

thf(205,plain,
    ! [SV3: a > $o,SV92: a > a > a,SV91: a > a > a,SV86: a > a > $o] :
      ( ( ( ~ ( ( SV86
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( ( SV91 @ SX0 @ SX1 )
                            = ( SV92 @ SX0 @ SX1 ) )
                          | ( SV86 @ SX0 @ SX1 ) ) ) )
                @ ( sK21_E @ t @ SV3
                  @ ^ [SX0: a,SX1: a] :
                      ( ( ( SV91 @ SX0 @ SX1 )
                        = ( SV92 @ SX0 @ SX1 ) )
                      | ( SV86 @ SX0 @ SX1 ) ) ) )
              | ( SV3
                @ ( sK21_E @ t @ SV3
                  @ ^ [SX0: a,SX1: a] :
                      ( ( ( SV91 @ SX0 @ SX1 )
                        = ( SV92 @ SX0 @ SX1 ) )
                      | ( SV86 @ SX0 @ SX1 ) ) ) ) )
          | ~ ( ~ ( SV86
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( ( SV91 @ SX0 @ SX1 )
                              = ( SV92 @ SX0 @ SX1 ) )
                            | ( SV86 @ SX0 @ SX1 ) ) ) )
                  @ ( sK21_E @ t @ SV3
                    @ ^ [SX0: a,SX1: a] :
                        ( ( ( SV91 @ SX0 @ SX1 )
                          = ( SV92 @ SX0 @ SX1 ) )
                        | ( SV86 @ SX0 @ SX1 ) ) ) )
              | ~ ( SV3
                  @ ( sK21_E @ t @ SV3
                    @ ^ [SX0: a,SX1: a] :
                        ( ( ( SV91 @ SX0 @ SX1 )
                          = ( SV92 @ SX0 @ SX1 ) )
                        | ( SV86 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV91 @ SX0 @ SX1 )
                  = ( SV92 @ SX0 @ SX1 ) )
                | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( SV91
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV91 @ SX0 @ SX1 )
                        = ( SV92 @ SX0 @ SX1 ) )
                      | ( SV86 @ SX0 @ SX1 ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
          = ( SV92
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV91 @ SX0 @ SX1 )
                        = ( SV92 @ SX0 @ SX1 ) )
                      | ( SV86 @ SX0 @ SX1 ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( SV91 @ SX0 @ SX1 )
                      = ( SV92 @ SX0 @ SX1 ) )
                    | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV3 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[136]) ).

thf(206,plain,
    ! [SV3: a > $o,SV92: a > a > a,SV91: a > a > a,SV86: a > a > $o] :
      ( ( ( ( SV86
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV91 @ SX0 @ SX1 )
                        = ( SV92 @ SX0 @ SX1 ) )
                      | ( SV86 @ SX0 @ SX1 ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
          = ( SV3
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV91 @ SX0 @ SX1 )
                  = ( SV92 @ SX0 @ SX1 ) )
                | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( SV91
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV91 @ SX0 @ SX1 )
                        = ( SV92 @ SX0 @ SX1 ) )
                      | ( SV86 @ SX0 @ SX1 ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
          = ( SV92
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV91 @ SX0 @ SX1 )
                        = ( SV92 @ SX0 @ SX1 ) )
                      | ( SV86 @ SX0 @ SX1 ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( SV91 @ SX0 @ SX1 )
                      = ( SV92 @ SX0 @ SX1 ) )
                    | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV3 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[136]) ).

thf(207,plain,
    ! [SV3: a > $o,SV92: a > a > a,SV91: a > a > a,SV86: a > a > $o] :
      ( ( ( ~ ( ( SV86
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( ( SV91 @ SX0 @ SX1 )
                            = ( SV92 @ SX0 @ SX1 ) )
                          | ( SV86 @ SX0 @ SX1 ) ) ) )
                @ ( sK21_E @ t @ SV3
                  @ ^ [SX0: a,SX1: a] :
                      ( ( ( SV91 @ SX0 @ SX1 )
                        = ( SV92 @ SX0 @ SX1 ) )
                      | ( SV86 @ SX0 @ SX1 ) ) ) )
              | ( SV3
                @ ( sK21_E @ t @ SV3
                  @ ^ [SX0: a,SX1: a] :
                      ( ( ( SV91 @ SX0 @ SX1 )
                        = ( SV92 @ SX0 @ SX1 ) )
                      | ( SV86 @ SX0 @ SX1 ) ) ) ) )
          | ~ ( ~ ( SV86
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( ( SV91 @ SX0 @ SX1 )
                              = ( SV92 @ SX0 @ SX1 ) )
                            | ( SV86 @ SX0 @ SX1 ) ) ) )
                  @ ( sK21_E @ t @ SV3
                    @ ^ [SX0: a,SX1: a] :
                        ( ( ( SV91 @ SX0 @ SX1 )
                          = ( SV92 @ SX0 @ SX1 ) )
                        | ( SV86 @ SX0 @ SX1 ) ) ) )
              | ~ ( SV3
                  @ ( sK21_E @ t @ SV3
                    @ ^ [SX0: a,SX1: a] :
                        ( ( ( SV91 @ SX0 @ SX1 )
                          = ( SV92 @ SX0 @ SX1 ) )
                        | ( SV86 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV91 @ SX0 @ SX1 )
                  = ( SV92 @ SX0 @ SX1 ) )
                | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ( SV91
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV91 @ SX0 @ SX1 )
                        = ( SV92 @ SX0 @ SX1 ) )
                      | ( SV86 @ SX0 @ SX1 ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
          = ( SV92
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV91 @ SX0 @ SX1 )
                        = ( SV92 @ SX0 @ SX1 ) )
                      | ( SV86 @ SX0 @ SX1 ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( SV91 @ SX0 @ SX1 )
                      = ( SV92 @ SX0 @ SX1 ) )
                    | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV3 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[135]) ).

thf(208,plain,
    ! [SV3: a > $o,SV92: a > a > a,SV91: a > a > a,SV86: a > a > $o] :
      ( ( ( ( SV86
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV91 @ SX0 @ SX1 )
                        = ( SV92 @ SX0 @ SX1 ) )
                      | ( SV86 @ SX0 @ SX1 ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
          = ( SV3
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV91 @ SX0 @ SX1 )
                  = ( SV92 @ SX0 @ SX1 ) )
                | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ( SV91
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV91 @ SX0 @ SX1 )
                        = ( SV92 @ SX0 @ SX1 ) )
                      | ( SV86 @ SX0 @ SX1 ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
          = ( SV92
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV91 @ SX0 @ SX1 )
                        = ( SV92 @ SX0 @ SX1 ) )
                      | ( SV86 @ SX0 @ SX1 ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( SV91 @ SX0 @ SX1 )
                      = ( SV92 @ SX0 @ SX1 ) )
                    | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV3 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[135]) ).

thf(209,plain,
    ! [SV3: a > $o] :
      ( ( ( SV3
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( ( SV3 @ SX0 )
                | ( t = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( ( SV3 @ SX0 )
                | ( t = SX0 ) ) ) )
        = $false )
      | ( ( sK1_X @ SV3 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[143]) ).

thf(210,plain,
    ! [SV3: a > $o] :
      ( ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( ( SV3 @ SX0 )
                | ( t = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( ( SV3 @ SX0 )
                | ( t = SX0 ) ) ) )
        = $false )
      | ( ( sK1_X @ SV3 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[143]) ).

thf(211,plain,
    ! [SV107: a > a > $o,SV106: a > a > $o] :
      ( ( ( SV106
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV106 @ SX0 @ SX1 )
                    | ( SV107 @ SX0 @ SX1 ) ) ) )
          @ ( sK22_E
            @ ^ [SX0: a,SX1: a] :
                ( ( SV106 @ SX0 @ SX1 )
                | ( SV107 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV106 @ SX0 @ SX1 )
                  | ( SV107 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV106 @ SX0 @ SX1 )
                    | ( SV107 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( $false
          | ( t
            = ( sK22_E
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV106 @ SX0 @ SX1 )
                  | ( SV107 @ SX0 @ SX1 ) ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[149]) ).

thf(212,plain,
    ! [SV106: a > a > $o,SV107: a > a > $o] :
      ( ( ( SV107
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV106 @ SX0 @ SX1 )
                    | ( SV107 @ SX0 @ SX1 ) ) ) )
          @ ( sK22_E
            @ ^ [SX0: a,SX1: a] :
                ( ( SV106 @ SX0 @ SX1 )
                | ( SV107 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV106 @ SX0 @ SX1 )
                  | ( SV107 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV106 @ SX0 @ SX1 )
                    | ( SV107 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( $false
          | ( t
            = ( sK22_E
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV106 @ SX0 @ SX1 )
                  | ( SV107 @ SX0 @ SX1 ) ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[149]) ).

thf(213,plain,
    ! [SV107: a > a > $o,SV106: a > a > $o] :
      ( ( ( SV106
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV106 @ SX0 @ SX1 )
                    | ( SV107 @ SX0 @ SX1 ) ) ) )
          @ ( sK22_E
            @ ^ [SX0: a,SX1: a] :
                ( ( SV106 @ SX0 @ SX1 )
                | ( SV107 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( SV107
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV106 @ SX0 @ SX1 )
                    | ( SV107 @ SX0 @ SX1 ) ) ) )
          @ ( sK22_E
            @ ^ [SX0: a,SX1: a] :
                ( ( SV106 @ SX0 @ SX1 )
                | ( SV107 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV106 @ SX0 @ SX1 )
                  | ( SV107 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV106 @ SX0 @ SX1 )
                    | ( SV107 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( $false
          | ( t
            = ( sK22_E
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV106 @ SX0 @ SX1 )
                  | ( SV107 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[148]) ).

thf(215,plain,
    ( ( ( t
        = ( sK5_E @ t
          @ ^ [SX0: a] :
              ( $false
              | ( t = SX0 ) ) ) )
      = $false )
    | ( ( t
        = ( sK5_E @ t
          @ ^ [SX0: a] :
              ( $false
              | ( t = SX0 ) ) ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[152]) ).

thf(216,plain,
    ! [SV5: a > $o,SV212: a > a > $o,SV211: a > a > $o] :
      ( ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false )
      | ( ( ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          | ( t
            = ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[194]) ).

thf(217,plain,
    ! [SV5: a > $o,SV211: a > a > $o,SV212: a > a > $o] :
      ( ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false )
      | ( ( ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          | ( t
            = ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[194]) ).

thf(218,plain,
    ! [SV5: a > $o,SV212: a > a > $o,SV211: a > a > $o] :
      ( ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false )
      | ( ( ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          | ( t
            = ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[193]) ).

thf(219,plain,
    ! [SV5: a > $o,SV268: a > a > a,SV267: a > a > a,SV211: a > a > $o] :
      ( ( ( ~ ( ( SV211
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SV211 @ SX0 @ SX1 )
                          | ( ( SV267 @ SX0 @ SX1 )
                            = ( SV268 @ SX0 @ SX1 ) ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( SV267 @ SX0 @ SX1 )
                        = ( SV268 @ SX0 @ SX1 ) ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( SV267 @ SX0 @ SX1 )
                        = ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
          | ~ ( ~ ( SV211
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SV211 @ SX0 @ SX1 )
                            | ( ( SV267 @ SX0 @ SX1 )
                              = ( SV268 @ SX0 @ SX1 ) ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( SV267 @ SX0 @ SX1 )
                          = ( SV268 @ SX0 @ SX1 ) ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( SV267 @ SX0 @ SX1 )
                          = ( SV268 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( SV267 @ SX0 @ SX1 )
                  = ( SV268 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( SV267
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( SV267 @ SX0 @ SX1 )
                        = ( SV268 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) )
          = ( SV268
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( SV267 @ SX0 @ SX1 )
                        = ( SV268 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( SV267 @ SX0 @ SX1 )
                      = ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[192]) ).

thf(220,plain,
    ! [SV5: a > $o,SV268: a > a > a,SV267: a > a > a,SV211: a > a > $o] :
      ( ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( SV267 @ SX0 @ SX1 )
                        = ( SV268 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( SV267 @ SX0 @ SX1 )
                  = ( SV268 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( SV267
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( SV267 @ SX0 @ SX1 )
                        = ( SV268 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) )
          = ( SV268
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( SV267 @ SX0 @ SX1 )
                        = ( SV268 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( SV267 @ SX0 @ SX1 )
                      = ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[192]) ).

thf(221,plain,
    ! [SV5: a > $o,SV268: a > a > a,SV267: a > a > a,SV211: a > a > $o] :
      ( ( ( ~ ( ( SV211
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SV211 @ SX0 @ SX1 )
                          | ( ( SV267 @ SX0 @ SX1 )
                            = ( SV268 @ SX0 @ SX1 ) ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( SV267 @ SX0 @ SX1 )
                        = ( SV268 @ SX0 @ SX1 ) ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( SV267 @ SX0 @ SX1 )
                        = ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
          | ~ ( ~ ( SV211
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SV211 @ SX0 @ SX1 )
                            | ( ( SV267 @ SX0 @ SX1 )
                              = ( SV268 @ SX0 @ SX1 ) ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( SV267 @ SX0 @ SX1 )
                          = ( SV268 @ SX0 @ SX1 ) ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( SV267 @ SX0 @ SX1 )
                          = ( SV268 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( SV267 @ SX0 @ SX1 )
                  = ( SV268 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV267
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( SV267 @ SX0 @ SX1 )
                        = ( SV268 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) )
          = ( SV268
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( SV267 @ SX0 @ SX1 )
                        = ( SV268 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( SV267 @ SX0 @ SX1 )
                      = ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[191]) ).

thf(222,plain,
    ! [SV5: a > $o,SV268: a > a > a,SV267: a > a > a,SV211: a > a > $o] :
      ( ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( SV267 @ SX0 @ SX1 )
                        = ( SV268 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( SV267 @ SX0 @ SX1 )
                  = ( SV268 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV267
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( SV267 @ SX0 @ SX1 )
                        = ( SV268 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) )
          = ( SV268
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( SV267 @ SX0 @ SX1 )
                        = ( SV268 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( SV267 @ SX0 @ SX1 )
                      = ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[191]) ).

thf(223,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( ( SV211
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SV211 @ SX0 @ SX1 )
                          | ( t = SX0 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( t = SX0 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( t = SX0 ) ) ) ) )
          | ~ ( ~ ( SV211
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SV211 @ SX0 @ SX1 )
                            | ( t = SX0 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( t = SX0 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( t = SX0 ) ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t = SX0 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( t = SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( t = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[190]) ).

thf(224,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( t = SX0 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( t = SX0 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( t = SX0 ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t = SX0 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( t = SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( t = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[190]) ).

thf(225,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( ( SV211
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SV211 @ SX0 @ SX1 )
                          | ( t = SX1 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( t = SX1 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( t = SX1 ) ) ) ) )
          | ~ ( ~ ( SV211
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SV211 @ SX0 @ SX1 )
                            | ( t = SX1 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( t = SX1 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( t = SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( t = SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[189]) ).

thf(226,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( t = SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( t = SX1 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( t = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( t = SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[189]) ).

thf(227,plain,
    ! [SV5: a > $o,SV300: a > a > a > a > $o,SV299: a > a > a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( ( SV211
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SV211 @ SX0 @ SX1 )
                          | ( t
                            = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( t
                        = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( t
                        = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) )
          | ~ ( ~ ( SV211
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SV211 @ SX0 @ SX1 )
                            | ( t
                              = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( t
                          = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( t
                          = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) ) )
        = $false )
      | ( ( ( sK23_E
            @ ( SV299
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( t
                          = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t
                      = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
            @ ( SV300
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( t
                          = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t
                      = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( t
                  = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( t
                    = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t
                      = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[188]) ).

thf(228,plain,
    ! [SV5: a > $o,SV300: a > a > a > a > $o,SV299: a > a > a > $o,SV211: a > a > $o] :
      ( ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( t
                        = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( t
                    = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( t
                    = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $false )
      | ( ( ( sK23_E
            @ ( SV299
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( t
                          = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t
                      = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
            @ ( SV300
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( t
                          = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t
                      = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( t
                  = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( t
                    = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t
                      = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[188]) ).

thf(229,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( ( SV211
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SV211 @ SX0 @ SX1 )
                          | ( SX0 = SX0 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX0 = SX0 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX0 = SX0 ) ) ) ) )
          | ~ ( ~ ( SV211
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SV211 @ SX0 @ SX1 )
                            | ( SX0 = SX0 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX0 = SX0 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX0 = SX0 ) ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[187]) ).

thf(230,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX0 = SX0 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX0 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX0 ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[187]) ).

thf(231,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( ( SV211
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SV211 @ SX0 @ SX1 )
                          | ( SX0 = SX1 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX0 = SX1 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX0 = SX1 ) ) ) ) )
          | ~ ( ~ ( SV211
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SV211 @ SX0 @ SX1 )
                            | ( SX0 = SX1 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX0 = SX1 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX0 = SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX1 ) ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[186]) ).

thf(232,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX0 = SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX1 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX1 ) ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[186]) ).

thf(233,plain,
    ! [SV5: a > $o,SV306: a > a > a > a > $o,SV305: a > a > a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( ( SV211
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SV211 @ SX0 @ SX1 )
                          | ( SX0
                            = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX0
                        = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX0
                        = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) )
          | ~ ( ~ ( SV211
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SV211 @ SX0 @ SX1 )
                            | ( SX0
                              = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX0
                          = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX0
                          = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0
                      = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV305
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX0
                          = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0
                      = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
            @ ( SV306
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX0
                          = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0
                      = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0
                  = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0
                    = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0
                      = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[185]) ).

thf(234,plain,
    ! [SV5: a > $o,SV306: a > a > a > a > $o,SV305: a > a > a > $o,SV211: a > a > $o] :
      ( ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX0
                        = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0
                    = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0
                    = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0
                      = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV305
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX0
                          = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0
                      = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
            @ ( SV306
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX0
                          = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0
                      = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0
                  = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0
                    = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0
                      = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[185]) ).

thf(235,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( ( SV211
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SV211 @ SX0 @ SX1 )
                          | ( SX1 = SX0 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX1 = SX0 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX1 = SX0 ) ) ) ) )
          | ~ ( ~ ( SV211
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SV211 @ SX0 @ SX1 )
                            | ( SX1 = SX0 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX1 = SX0 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX1 = SX0 ) ) ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX0 ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX0 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[184]) ).

thf(236,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX1 = SX0 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX0 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX0 ) ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX0 ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX0 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[184]) ).

thf(237,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( ( SV211
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SV211 @ SX0 @ SX1 )
                          | ( SX1 = SX1 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX1 = SX1 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX1 = SX1 ) ) ) ) )
          | ~ ( ~ ( SV211
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SV211 @ SX0 @ SX1 )
                            | ( SX1 = SX1 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX1 = SX1 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX1 = SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX1 ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[183]) ).

thf(238,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX1 = SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX1 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX1 ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[183]) ).

thf(239,plain,
    ! [SV5: a > $o,SV312: a > a > a > a > $o,SV311: a > a > a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( ( SV211
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SV211 @ SX0 @ SX1 )
                          | ( SX1
                            = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX1
                        = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX1
                        = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) )
          | ~ ( ~ ( SV211
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SV211 @ SX0 @ SX1 )
                            | ( SX1
                              = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX1
                          = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX1
                          = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1
                  = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV311
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX1
                          = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1
                      = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
            @ ( SV312
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX1
                          = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1
                      = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1
                  = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1
                    = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1
                      = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[182]) ).

thf(240,plain,
    ! [SV5: a > $o,SV312: a > a > a > a > $o,SV311: a > a > a > $o,SV211: a > a > $o] :
      ( ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX1
                        = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1
                    = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1
                    = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1
                  = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV311
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX1
                          = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1
                      = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
            @ ( SV312
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX1
                          = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1
                      = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1
                  = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1
                    = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1
                      = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[182]) ).

thf(241,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( ( SV211
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SV211 @ SX0 @ SX1 )
                          | ( SX0 = t ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX0 = t ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX0 = t ) ) ) ) )
          | ~ ( ~ ( SV211
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SV211 @ SX0 @ SX1 )
                            | ( SX0 = t ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX0 = t ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX0 = t ) ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = t ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = t ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = t ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = t ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[181]) ).

thf(242,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX0 = t ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = t ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = t ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = t ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = t ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = t ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = t ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[181]) ).

thf(243,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( ( SV211
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SV211 @ SX0 @ SX1 )
                          | ( SX1 = t ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX1 = t ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX1 = t ) ) ) ) )
          | ~ ( ~ ( SV211
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SV211 @ SX0 @ SX1 )
                            | ( SX1 = t ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX1 = t ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX1 = t ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = t ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = t ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[180]) ).

thf(244,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX1 = t ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = t ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = t ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = t ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = t ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[180]) ).

thf(245,plain,
    ! [SV5: a > $o,SV278: a > a > a > a > $o,SV277: a > a > a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( ( SV211
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SV211 @ SX0 @ SX1 )
                          | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                            = t ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                        = t ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                        = t ) ) ) ) )
          | ~ ( ~ ( SV211
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SV211 @ SX0 @ SX1 )
                            | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                              = t ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                          = t ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                          = t ) ) ) ) ) )
        = $false )
      | ( ( ( sK23_E
            @ ( SV277
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                          = t ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                      = t ) ) ) )
            @ ( SV278
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                          = t ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                      = t ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                  = t ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                    = t ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                      = t ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[179]) ).

thf(246,plain,
    ! [SV5: a > $o,SV278: a > a > a > a > $o,SV277: a > a > a > $o,SV211: a > a > $o] :
      ( ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                        = t ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                    = t ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                    = t ) ) ) ) )
        = $false )
      | ( ( ( sK23_E
            @ ( SV277
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                          = t ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                      = t ) ) ) )
            @ ( SV278
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                          = t ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                      = t ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                  = t ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                    = t ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                      = t ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[179]) ).

thf(247,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( ( SV211
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SV211 @ SX0 @ SX1 )
                          | ( SX0 = SX0 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX0 = SX0 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX0 = SX0 ) ) ) ) )
          | ~ ( ~ ( SV211
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SV211 @ SX0 @ SX1 )
                            | ( SX0 = SX0 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX0 = SX0 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX0 = SX0 ) ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[178]) ).

thf(248,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX0 = SX0 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX0 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX0 ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[178]) ).

thf(249,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( ( SV211
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SV211 @ SX0 @ SX1 )
                          | ( SX1 = SX0 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX1 = SX0 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX1 = SX0 ) ) ) ) )
          | ~ ( ~ ( SV211
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SV211 @ SX0 @ SX1 )
                            | ( SX1 = SX0 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX1 = SX0 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX1 = SX0 ) ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX0 ) ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[177]) ).

thf(250,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX1 = SX0 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX0 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX0 ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX0 ) ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[177]) ).

thf(251,plain,
    ! [SV5: a > $o,SV284: a > a > a > a > $o,SV283: a > a > a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( ( SV211
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SV211 @ SX0 @ SX1 )
                          | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                            = SX0 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                        = SX0 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                        = SX0 ) ) ) ) )
          | ~ ( ~ ( SV211
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SV211 @ SX0 @ SX1 )
                            | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                              = SX0 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                          = SX0 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                          = SX0 ) ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                      = SX0 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV283
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                          = SX0 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                      = SX0 ) ) ) )
            @ ( SV284
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                          = SX0 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                      = SX0 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                  = SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                    = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                      = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[176]) ).

thf(252,plain,
    ! [SV5: a > $o,SV284: a > a > a > a > $o,SV283: a > a > a > $o,SV211: a > a > $o] :
      ( ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                        = SX0 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                    = SX0 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                    = SX0 ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                      = SX0 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV283
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                          = SX0 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                      = SX0 ) ) ) )
            @ ( SV284
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                          = SX0 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                      = SX0 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                  = SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                    = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                      = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[176]) ).

thf(253,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( ( SV211
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SV211 @ SX0 @ SX1 )
                          | ( SX0 = SX1 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX0 = SX1 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX0 = SX1 ) ) ) ) )
          | ~ ( ~ ( SV211
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SV211 @ SX0 @ SX1 )
                            | ( SX0 = SX1 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX0 = SX1 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX0 = SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX1 ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[175]) ).

thf(254,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX0 = SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX1 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX1 ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[175]) ).

thf(255,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( ( SV211
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SV211 @ SX0 @ SX1 )
                          | ( SX1 = SX1 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX1 = SX1 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX1 = SX1 ) ) ) ) )
          | ~ ( ~ ( SV211
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SV211 @ SX0 @ SX1 )
                            | ( SX1 = SX1 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX1 = SX1 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX1 = SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX1 ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[174]) ).

thf(256,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX1 = SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX1 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX1 ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[174]) ).

thf(257,plain,
    ! [SV5: a > $o,SV290: a > a > a > a > $o,SV289: a > a > a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( ( SV211
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SV211 @ SX0 @ SX1 )
                          | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                            = SX1 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                        = SX1 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                        = SX1 ) ) ) ) )
          | ~ ( ~ ( SV211
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SV211 @ SX0 @ SX1 )
                            | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                              = SX1 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                          = SX1 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                          = SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                  = SX1 ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV289
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                          = SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                      = SX1 ) ) ) )
            @ ( SV290
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                          = SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                      = SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                  = SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                    = SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                      = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[173]) ).

thf(258,plain,
    ! [SV5: a > $o,SV290: a > a > a > a > $o,SV289: a > a > a > $o,SV211: a > a > $o] :
      ( ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                        = SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                    = SX1 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                    = SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                  = SX1 ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV289
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                          = SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                      = SX1 ) ) ) )
            @ ( SV290
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                          = SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                      = SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                  = SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                    = SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                      = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[173]) ).

thf(259,plain,
    ! [SV5: a > $o,SV218: a > a > a,SV217: a > a > a,SV212: a > a > $o] :
      ( ( ( ~ ( ( SV212
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( ( SV217 @ SX0 @ SX1 )
                            = ( SV218 @ SX0 @ SX1 ) )
                          | ( SV212 @ SX0 @ SX1 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( ( SV217 @ SX0 @ SX1 )
                        = ( SV218 @ SX0 @ SX1 ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( ( SV217 @ SX0 @ SX1 )
                        = ( SV218 @ SX0 @ SX1 ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          | ~ ( ~ ( SV212
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( ( SV217 @ SX0 @ SX1 )
                              = ( SV218 @ SX0 @ SX1 ) )
                            | ( SV212 @ SX0 @ SX1 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( ( SV217 @ SX0 @ SX1 )
                          = ( SV218 @ SX0 @ SX1 ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( ( SV217 @ SX0 @ SX1 )
                          = ( SV218 @ SX0 @ SX1 ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV217 @ SX0 @ SX1 )
                  = ( SV218 @ SX0 @ SX1 ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( SV217
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV217 @ SX0 @ SX1 )
                        = ( SV218 @ SX0 @ SX1 ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV218
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV217 @ SX0 @ SX1 )
                        = ( SV218 @ SX0 @ SX1 ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( SV217 @ SX0 @ SX1 )
                      = ( SV218 @ SX0 @ SX1 ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[172]) ).

thf(260,plain,
    ! [SV5: a > $o,SV218: a > a > a,SV217: a > a > a,SV212: a > a > $o] :
      ( ( ( ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV217 @ SX0 @ SX1 )
                        = ( SV218 @ SX0 @ SX1 ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV217 @ SX0 @ SX1 )
                  = ( SV218 @ SX0 @ SX1 ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( SV217
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV217 @ SX0 @ SX1 )
                        = ( SV218 @ SX0 @ SX1 ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV218
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV217 @ SX0 @ SX1 )
                        = ( SV218 @ SX0 @ SX1 ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( SV217 @ SX0 @ SX1 )
                      = ( SV218 @ SX0 @ SX1 ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[172]) ).

thf(261,plain,
    ! [SV5: a > $o,SV218: a > a > a,SV217: a > a > a,SV212: a > a > $o] :
      ( ( ( ~ ( ( SV212
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( ( SV217 @ SX0 @ SX1 )
                            = ( SV218 @ SX0 @ SX1 ) )
                          | ( SV212 @ SX0 @ SX1 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( ( SV217 @ SX0 @ SX1 )
                        = ( SV218 @ SX0 @ SX1 ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( ( SV217 @ SX0 @ SX1 )
                        = ( SV218 @ SX0 @ SX1 ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          | ~ ( ~ ( SV212
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( ( SV217 @ SX0 @ SX1 )
                              = ( SV218 @ SX0 @ SX1 ) )
                            | ( SV212 @ SX0 @ SX1 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( ( SV217 @ SX0 @ SX1 )
                          = ( SV218 @ SX0 @ SX1 ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( ( SV217 @ SX0 @ SX1 )
                          = ( SV218 @ SX0 @ SX1 ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV217 @ SX0 @ SX1 )
                  = ( SV218 @ SX0 @ SX1 ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ( SV217
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV217 @ SX0 @ SX1 )
                        = ( SV218 @ SX0 @ SX1 ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV218
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV217 @ SX0 @ SX1 )
                        = ( SV218 @ SX0 @ SX1 ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( SV217 @ SX0 @ SX1 )
                      = ( SV218 @ SX0 @ SX1 ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[171]) ).

thf(262,plain,
    ! [SV5: a > $o,SV218: a > a > a,SV217: a > a > a,SV212: a > a > $o] :
      ( ( ( ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV217 @ SX0 @ SX1 )
                        = ( SV218 @ SX0 @ SX1 ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV217 @ SX0 @ SX1 )
                  = ( SV218 @ SX0 @ SX1 ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ( SV217
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV217 @ SX0 @ SX1 )
                        = ( SV218 @ SX0 @ SX1 ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV218
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV217 @ SX0 @ SX1 )
                        = ( SV218 @ SX0 @ SX1 ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( SV217 @ SX0 @ SX1 )
                      = ( SV218 @ SX0 @ SX1 ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[171]) ).

thf(263,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( ( SV212
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( t = SX0 )
                          | ( SV212 @ SX0 @ SX1 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( t = SX0 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( t = SX0 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          | ~ ( ~ ( SV212
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( t = SX0 )
                            | ( SV212 @ SX0 @ SX1 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( t = SX0 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( t = SX0 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( t = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( t = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( t = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( t = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[170]) ).

thf(264,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( t = SX0 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( t = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( t = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( t = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( t = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( t = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( t = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[170]) ).

thf(265,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( ( SV212
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( t = SX1 )
                          | ( SV212 @ SX0 @ SX1 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( t = SX1 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( t = SX1 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          | ~ ( ~ ( SV212
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( t = SX1 )
                            | ( SV212 @ SX0 @ SX1 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( t = SX1 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( t = SX1 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( t = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( t = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[169]) ).

thf(266,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( t = SX1 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( t = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( t = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( t = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( t = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[169]) ).

thf(267,plain,
    ! [SV5: a > $o,SV250: a > a > a > a > $o,SV249: a > a > a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( ( SV212
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( t
                            = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                          | ( SV212 @ SX0 @ SX1 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( t
                        = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( t
                        = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          | ~ ( ~ ( SV212
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( t
                              = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                            | ( SV212 @ SX0 @ SX1 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( t
                          = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( t
                          = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK23_E
            @ ( SV249
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( t
                          = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( t
                      = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV250
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( t
                          = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( t
                      = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( t
                  = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( t
                    = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( t
                      = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[168]) ).

thf(268,plain,
    ! [SV5: a > $o,SV250: a > a > a > a > $o,SV249: a > a > a > $o,SV212: a > a > $o] :
      ( ( ( ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( t
                        = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( t
                    = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( t
                    = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK23_E
            @ ( SV249
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( t
                          = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( t
                      = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV250
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( t
                          = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( t
                      = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( t
                  = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( t
                    = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( t
                      = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[168]) ).

thf(269,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( ( SV212
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SX0 = SX0 )
                          | ( SV212 @ SX0 @ SX1 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SX0 = SX0 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SX0 = SX0 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          | ~ ( ~ ( SV212
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SX0 = SX0 )
                            | ( SV212 @ SX0 @ SX1 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SX0 = SX0 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SX0 = SX0 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[167]) ).

thf(270,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SX0 = SX0 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX0 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX0 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[167]) ).

thf(271,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( ( SV212
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SX0 = SX1 )
                          | ( SV212 @ SX0 @ SX1 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SX0 = SX1 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SX0 = SX1 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          | ~ ( ~ ( SV212
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SX0 = SX1 )
                            | ( SV212 @ SX0 @ SX1 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SX0 = SX1 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SX0 = SX1 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[166]) ).

thf(272,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SX0 = SX1 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX0 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX0 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[166]) ).

thf(273,plain,
    ! [SV5: a > $o,SV256: a > a > a > a > $o,SV255: a > a > a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( ( SV212
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SX0
                            = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                          | ( SV212 @ SX0 @ SX1 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SX0
                        = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SX0
                        = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          | ~ ( ~ ( SV212
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SX0
                              = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                            | ( SV212 @ SX0 @ SX1 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SX0
                          = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SX0
                          = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0
                      = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV255
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX0
                          = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX0
                      = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV256
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX0
                          = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX0
                      = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0
                  = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0
                    = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0
                      = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[165]) ).

thf(274,plain,
    ! [SV5: a > $o,SV256: a > a > a > a > $o,SV255: a > a > a > $o,SV212: a > a > $o] :
      ( ( ( ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SX0
                        = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX0
                    = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX0
                    = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0
                      = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV255
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX0
                          = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX0
                      = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV256
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX0
                          = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX0
                      = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0
                  = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0
                    = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0
                      = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[165]) ).

thf(275,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( ( SV212
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SX1 = SX0 )
                          | ( SV212 @ SX0 @ SX1 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SX1 = SX0 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SX1 = SX0 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          | ~ ( ~ ( SV212
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SX1 = SX0 )
                            | ( SV212 @ SX0 @ SX1 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SX1 = SX0 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SX1 = SX0 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[164]) ).

thf(276,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SX1 = SX0 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX1 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX1 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[164]) ).

thf(277,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( ( SV212
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SX1 = SX1 )
                          | ( SV212 @ SX0 @ SX1 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SX1 = SX1 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SX1 = SX1 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          | ~ ( ~ ( SV212
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SX1 = SX1 )
                            | ( SV212 @ SX0 @ SX1 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SX1 = SX1 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SX1 = SX1 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[163]) ).

thf(278,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SX1 = SX1 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX1 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX1 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[163]) ).

thf(279,plain,
    ! [SV5: a > $o,SV262: a > a > a > a > $o,SV261: a > a > a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( ( SV212
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SX1
                            = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                          | ( SV212 @ SX0 @ SX1 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SX1
                        = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SX1
                        = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          | ~ ( ~ ( SV212
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SX1
                              = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                            | ( SV212 @ SX0 @ SX1 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SX1
                          = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SX1
                          = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1
                  = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV261
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX1
                          = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX1
                      = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV262
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX1
                          = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX1
                      = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1
                  = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1
                    = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1
                      = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[162]) ).

thf(280,plain,
    ! [SV5: a > $o,SV262: a > a > a > a > $o,SV261: a > a > a > $o,SV212: a > a > $o] :
      ( ( ( ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SX1
                        = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX1
                    = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX1
                    = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1
                  = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV261
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX1
                          = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX1
                      = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV262
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX1
                          = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX1
                      = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1
                  = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1
                    = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1
                      = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[162]) ).

thf(281,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( ( SV212
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SX0 = t )
                          | ( SV212 @ SX0 @ SX1 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SX0 = t )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SX0 = t )
                      | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          | ~ ( ~ ( SV212
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SX0 = t )
                            | ( SV212 @ SX0 @ SX1 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SX0 = t )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SX0 = t )
                        | ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = t )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0 = t )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[161]) ).

thf(282,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SX0 = t )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX0 = t )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX0 = t )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = t )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0 = t )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[161]) ).

thf(283,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( ( SV212
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SX1 = t )
                          | ( SV212 @ SX0 @ SX1 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SX1 = t )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SX1 = t )
                      | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          | ~ ( ~ ( SV212
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SX1 = t )
                            | ( SV212 @ SX0 @ SX1 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SX1 = t )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SX1 = t )
                        | ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1 = t )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[160]) ).

thf(284,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SX1 = t )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX1 = t )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX1 = t )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1 = t )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[160]) ).

thf(285,plain,
    ! [SV5: a > $o,SV228: a > a > a > a > $o,SV227: a > a > a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( ( SV212
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                            = t )
                          | ( SV212 @ SX0 @ SX1 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                        = t )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                        = t )
                      | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          | ~ ( ~ ( SV212
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                              = t )
                            | ( SV212 @ SX0 @ SX1 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                          = t )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                          = t )
                        | ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK23_E
            @ ( SV227
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                          = t )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                      = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV228
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                          = t )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                      = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                  = t )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                    = t )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                      = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[159]) ).

thf(286,plain,
    ! [SV5: a > $o,SV228: a > a > a > a > $o,SV227: a > a > a > $o,SV212: a > a > $o] :
      ( ( ( ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                        = t )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                    = t )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                    = t )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK23_E
            @ ( SV227
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                          = t )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                      = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV228
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                          = t )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                      = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                  = t )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                    = t )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                      = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[159]) ).

thf(287,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( ( SV212
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SX0 = SX0 )
                          | ( SV212 @ SX0 @ SX1 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SX0 = SX0 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SX0 = SX0 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          | ~ ( ~ ( SV212
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SX0 = SX0 )
                            | ( SV212 @ SX0 @ SX1 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SX0 = SX0 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SX0 = SX0 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[158]) ).

thf(288,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SX0 = SX0 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX0 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX0 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[158]) ).

thf(289,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( ( SV212
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SX1 = SX0 )
                          | ( SV212 @ SX0 @ SX1 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SX1 = SX0 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SX1 = SX0 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          | ~ ( ~ ( SV212
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SX1 = SX0 )
                            | ( SV212 @ SX0 @ SX1 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SX1 = SX0 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SX1 = SX0 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[157]) ).

thf(290,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SX1 = SX0 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX1 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX1 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[157]) ).

thf(291,plain,
    ! [SV5: a > $o,SV234: a > a > a > a > $o,SV233: a > a > a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( ( SV212
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                            = SX0 )
                          | ( SV212 @ SX0 @ SX1 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                        = SX0 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                        = SX0 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          | ~ ( ~ ( SV212
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                              = SX0 )
                            | ( SV212 @ SX0 @ SX1 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                          = SX0 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                          = SX0 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                      = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV233
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                          = SX0 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                      = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV234
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                          = SX0 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                      = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                  = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                    = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                      = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[156]) ).

thf(292,plain,
    ! [SV5: a > $o,SV234: a > a > a > a > $o,SV233: a > a > a > $o,SV212: a > a > $o] :
      ( ( ( ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                        = SX0 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                    = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                    = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                      = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV233
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                          = SX0 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                      = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV234
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                          = SX0 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                      = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                  = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                    = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                      = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[156]) ).

thf(293,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( ( SV212
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SX0 = SX1 )
                          | ( SV212 @ SX0 @ SX1 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SX0 = SX1 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SX0 = SX1 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          | ~ ( ~ ( SV212
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SX0 = SX1 )
                            | ( SV212 @ SX0 @ SX1 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SX0 = SX1 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SX0 = SX1 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[155]) ).

thf(294,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SX0 = SX1 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX0 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX0 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[155]) ).

thf(295,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( ( SV212
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SX1 = SX1 )
                          | ( SV212 @ SX0 @ SX1 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SX1 = SX1 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SX1 = SX1 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          | ~ ( ~ ( SV212
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SX1 = SX1 )
                            | ( SV212 @ SX0 @ SX1 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SX1 = SX1 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SX1 = SX1 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[154]) ).

thf(296,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SX1 = SX1 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX1 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX1 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[154]) ).

thf(297,plain,
    ! [SV5: a > $o,SV240: a > a > a > a > $o,SV239: a > a > a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( ( SV212
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                            = SX1 )
                          | ( SV212 @ SX0 @ SX1 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                        = SX1 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                        = SX1 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          | ~ ( ~ ( SV212
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                              = SX1 )
                            | ( SV212 @ SX0 @ SX1 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                          = SX1 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                          = SX1 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                  = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV239
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                          = SX1 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                      = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV240
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                          = SX1 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                      = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                  = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                    = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                      = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[153]) ).

thf(298,plain,
    ! [SV5: a > $o,SV240: a > a > a > a > $o,SV239: a > a > a > $o,SV212: a > a > $o] :
      ( ( ( ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                        = SX1 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                    = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                    = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                  = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV239
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                          = SX1 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                      = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV240
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                          = SX1 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                      = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                  = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                    = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                      = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[153]) ).

thf(299,plain,
    ! [SV5: a > $o] :
      ( ( ( SV5
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( ( SV5 @ SX0 )
                | ( t = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( ( SV5 @ SX0 )
                | ( t = SX0 ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[197]) ).

thf(300,plain,
    ! [SV5: a > $o] :
      ( ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( ( SV5 @ SX0 )
                | ( t = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( ( SV5 @ SX0 )
                | ( t = SX0 ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[197]) ).

thf(301,plain,
    ! [SV86: a > a > $o,SV85: a > a > $o,SV3: a > $o] :
      ( ( ( SV3
          @ ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( SV85 @ SX0 @ SX1 )
                | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X @ SV3 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV85 @ SX0 @ SX1 )
                    | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( SV85
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV85 @ SX0 @ SX1 )
                    | ( SV86 @ SX0 @ SX1 ) ) ) )
          @ ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( SV85 @ SX0 @ SX1 )
                | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[198]) ).

thf(302,plain,
    ! [SV86: a > a > $o,SV85: a > a > $o,SV3: a > $o] :
      ( ( ( t
          = ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( SV85 @ SX0 @ SX1 )
                | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X @ SV3 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV85 @ SX0 @ SX1 )
                    | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( SV85
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV85 @ SX0 @ SX1 )
                    | ( SV86 @ SX0 @ SX1 ) ) ) )
          @ ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( SV85 @ SX0 @ SX1 )
                | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[198]) ).

thf(303,plain,
    ! [SV86: a > a > $o,SV85: a > a > $o,SV3: a > $o] :
      ( ( ( SV3
          @ ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( SV85 @ SX0 @ SX1 )
                | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X @ SV3 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV85 @ SX0 @ SX1 )
                    | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( SV86
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV85 @ SX0 @ SX1 )
                    | ( SV86 @ SX0 @ SX1 ) ) ) )
          @ ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( SV85 @ SX0 @ SX1 )
                | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[199]) ).

thf(304,plain,
    ! [SV86: a > a > $o,SV85: a > a > $o,SV3: a > $o] :
      ( ( ( t
          = ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( SV85 @ SX0 @ SX1 )
                | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X @ SV3 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV85 @ SX0 @ SX1 )
                    | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( SV86
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV85 @ SX0 @ SX1 )
                    | ( SV86 @ SX0 @ SX1 ) ) ) )
          @ ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( SV85 @ SX0 @ SX1 )
                | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[199]) ).

thf(305,plain,
    ! [SV86: a > a > $o,SV85: a > a > $o,SV3: a > $o] :
      ( ( ( SV3
          @ ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( SV85 @ SX0 @ SX1 )
                | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( t
          = ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( SV85 @ SX0 @ SX1 )
                | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( sK1_X @ SV3 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV85 @ SX0 @ SX1 )
                    | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( SV86
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV85 @ SX0 @ SX1 )
                    | ( SV86 @ SX0 @ SX1 ) ) ) )
          @ ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( SV85 @ SX0 @ SX1 )
                | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( SV85
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV85 @ SX0 @ SX1 )
                    | ( SV86 @ SX0 @ SX1 ) ) ) )
          @ ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( SV85 @ SX0 @ SX1 )
                | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[200]) ).

thf(306,plain,
    ! [SV3: a > $o,SV98: a > a > a,SV97: a > a > a,SV85: a > a > $o] :
      ( ( ( ~ ( ( SV85
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SV85 @ SX0 @ SX1 )
                          | ( ( SV97 @ SX0 @ SX1 )
                            = ( SV98 @ SX0 @ SX1 ) ) ) ) )
                @ ( sK21_E @ t @ SV3
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( ( SV97 @ SX0 @ SX1 )
                        = ( SV98 @ SX0 @ SX1 ) ) ) ) )
              | ( SV3
                @ ( sK21_E @ t @ SV3
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( ( SV97 @ SX0 @ SX1 )
                        = ( SV98 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( SV85 @ SX0 @ SX1 )
                | ( ( SV97 @ SX0 @ SX1 )
                  = ( SV98 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( SV97
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( ( SV97 @ SX0 @ SX1 )
                        = ( SV98 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) )
          = ( SV98
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( ( SV97 @ SX0 @ SX1 )
                        = ( SV98 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV85 @ SX0 @ SX1 )
                    | ( ( SV97 @ SX0 @ SX1 )
                      = ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV3 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[201]) ).

thf(307,plain,
    ! [SV3: a > $o,SV98: a > a > a,SV97: a > a > a,SV85: a > a > $o] :
      ( ( ( ~ ( ~ ( SV85
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SV85 @ SX0 @ SX1 )
                            | ( ( SV97 @ SX0 @ SX1 )
                              = ( SV98 @ SX0 @ SX1 ) ) ) ) )
                  @ ( sK21_E @ t @ SV3
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV85 @ SX0 @ SX1 )
                        | ( ( SV97 @ SX0 @ SX1 )
                          = ( SV98 @ SX0 @ SX1 ) ) ) ) )
              | ~ ( SV3
                  @ ( sK21_E @ t @ SV3
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV85 @ SX0 @ SX1 )
                        | ( ( SV97 @ SX0 @ SX1 )
                          = ( SV98 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( SV85 @ SX0 @ SX1 )
                | ( ( SV97 @ SX0 @ SX1 )
                  = ( SV98 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( SV97
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( ( SV97 @ SX0 @ SX1 )
                        = ( SV98 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) )
          = ( SV98
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( ( SV97 @ SX0 @ SX1 )
                        = ( SV98 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV85 @ SX0 @ SX1 )
                    | ( ( SV97 @ SX0 @ SX1 )
                      = ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV3 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[201]) ).

thf(308,plain,
    ! [SV3: a > $o,SV98: a > a > a,SV97: a > a > a,SV85: a > a > $o] :
      ( ( ( ~ ( ( SV85
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SV85 @ SX0 @ SX1 )
                          | ( ( SV97 @ SX0 @ SX1 )
                            = ( SV98 @ SX0 @ SX1 ) ) ) ) )
                @ ( sK21_E @ t @ SV3
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( ( SV97 @ SX0 @ SX1 )
                        = ( SV98 @ SX0 @ SX1 ) ) ) ) )
              | ( SV3
                @ ( sK21_E @ t @ SV3
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( ( SV97 @ SX0 @ SX1 )
                        = ( SV98 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( SV85 @ SX0 @ SX1 )
                | ( ( SV97 @ SX0 @ SX1 )
                  = ( SV98 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV97
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( ( SV97 @ SX0 @ SX1 )
                        = ( SV98 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) )
          = ( SV98
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( ( SV97 @ SX0 @ SX1 )
                        = ( SV98 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV85 @ SX0 @ SX1 )
                    | ( ( SV97 @ SX0 @ SX1 )
                      = ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV3 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[203]) ).

thf(309,plain,
    ! [SV3: a > $o,SV98: a > a > a,SV97: a > a > a,SV85: a > a > $o] :
      ( ( ( ~ ( ~ ( SV85
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SV85 @ SX0 @ SX1 )
                            | ( ( SV97 @ SX0 @ SX1 )
                              = ( SV98 @ SX0 @ SX1 ) ) ) ) )
                  @ ( sK21_E @ t @ SV3
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV85 @ SX0 @ SX1 )
                        | ( ( SV97 @ SX0 @ SX1 )
                          = ( SV98 @ SX0 @ SX1 ) ) ) ) )
              | ~ ( SV3
                  @ ( sK21_E @ t @ SV3
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV85 @ SX0 @ SX1 )
                        | ( ( SV97 @ SX0 @ SX1 )
                          = ( SV98 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( SV85 @ SX0 @ SX1 )
                | ( ( SV97 @ SX0 @ SX1 )
                  = ( SV98 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV97
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( ( SV97 @ SX0 @ SX1 )
                        = ( SV98 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) )
          = ( SV98
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( ( SV97 @ SX0 @ SX1 )
                        = ( SV98 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV85 @ SX0 @ SX1 )
                    | ( ( SV97 @ SX0 @ SX1 )
                      = ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV3 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[203]) ).

thf(310,plain,
    ! [SV3: a > $o,SV92: a > a > a,SV91: a > a > a,SV86: a > a > $o] :
      ( ( ( ~ ( ( SV86
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( ( SV91 @ SX0 @ SX1 )
                            = ( SV92 @ SX0 @ SX1 ) )
                          | ( SV86 @ SX0 @ SX1 ) ) ) )
                @ ( sK21_E @ t @ SV3
                  @ ^ [SX0: a,SX1: a] :
                      ( ( ( SV91 @ SX0 @ SX1 )
                        = ( SV92 @ SX0 @ SX1 ) )
                      | ( SV86 @ SX0 @ SX1 ) ) ) )
              | ( SV3
                @ ( sK21_E @ t @ SV3
                  @ ^ [SX0: a,SX1: a] :
                      ( ( ( SV91 @ SX0 @ SX1 )
                        = ( SV92 @ SX0 @ SX1 ) )
                      | ( SV86 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV91 @ SX0 @ SX1 )
                  = ( SV92 @ SX0 @ SX1 ) )
                | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( SV91
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV91 @ SX0 @ SX1 )
                        = ( SV92 @ SX0 @ SX1 ) )
                      | ( SV86 @ SX0 @ SX1 ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
          = ( SV92
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV91 @ SX0 @ SX1 )
                        = ( SV92 @ SX0 @ SX1 ) )
                      | ( SV86 @ SX0 @ SX1 ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( SV91 @ SX0 @ SX1 )
                      = ( SV92 @ SX0 @ SX1 ) )
                    | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV3 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[205]) ).

thf(311,plain,
    ! [SV3: a > $o,SV92: a > a > a,SV91: a > a > a,SV86: a > a > $o] :
      ( ( ( ~ ( ~ ( SV86
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( ( SV91 @ SX0 @ SX1 )
                              = ( SV92 @ SX0 @ SX1 ) )
                            | ( SV86 @ SX0 @ SX1 ) ) ) )
                  @ ( sK21_E @ t @ SV3
                    @ ^ [SX0: a,SX1: a] :
                        ( ( ( SV91 @ SX0 @ SX1 )
                          = ( SV92 @ SX0 @ SX1 ) )
                        | ( SV86 @ SX0 @ SX1 ) ) ) )
              | ~ ( SV3
                  @ ( sK21_E @ t @ SV3
                    @ ^ [SX0: a,SX1: a] :
                        ( ( ( SV91 @ SX0 @ SX1 )
                          = ( SV92 @ SX0 @ SX1 ) )
                        | ( SV86 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV91 @ SX0 @ SX1 )
                  = ( SV92 @ SX0 @ SX1 ) )
                | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( SV91
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV91 @ SX0 @ SX1 )
                        = ( SV92 @ SX0 @ SX1 ) )
                      | ( SV86 @ SX0 @ SX1 ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
          = ( SV92
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV91 @ SX0 @ SX1 )
                        = ( SV92 @ SX0 @ SX1 ) )
                      | ( SV86 @ SX0 @ SX1 ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( SV91 @ SX0 @ SX1 )
                      = ( SV92 @ SX0 @ SX1 ) )
                    | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV3 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[205]) ).

thf(312,plain,
    ! [SV3: a > $o,SV92: a > a > a,SV91: a > a > a,SV86: a > a > $o] :
      ( ( ( ~ ( ( SV86
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( ( SV91 @ SX0 @ SX1 )
                            = ( SV92 @ SX0 @ SX1 ) )
                          | ( SV86 @ SX0 @ SX1 ) ) ) )
                @ ( sK21_E @ t @ SV3
                  @ ^ [SX0: a,SX1: a] :
                      ( ( ( SV91 @ SX0 @ SX1 )
                        = ( SV92 @ SX0 @ SX1 ) )
                      | ( SV86 @ SX0 @ SX1 ) ) ) )
              | ( SV3
                @ ( sK21_E @ t @ SV3
                  @ ^ [SX0: a,SX1: a] :
                      ( ( ( SV91 @ SX0 @ SX1 )
                        = ( SV92 @ SX0 @ SX1 ) )
                      | ( SV86 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV91 @ SX0 @ SX1 )
                  = ( SV92 @ SX0 @ SX1 ) )
                | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ( SV91
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV91 @ SX0 @ SX1 )
                        = ( SV92 @ SX0 @ SX1 ) )
                      | ( SV86 @ SX0 @ SX1 ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
          = ( SV92
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV91 @ SX0 @ SX1 )
                        = ( SV92 @ SX0 @ SX1 ) )
                      | ( SV86 @ SX0 @ SX1 ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( SV91 @ SX0 @ SX1 )
                      = ( SV92 @ SX0 @ SX1 ) )
                    | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV3 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[207]) ).

thf(313,plain,
    ! [SV3: a > $o,SV92: a > a > a,SV91: a > a > a,SV86: a > a > $o] :
      ( ( ( ~ ( ~ ( SV86
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( ( SV91 @ SX0 @ SX1 )
                              = ( SV92 @ SX0 @ SX1 ) )
                            | ( SV86 @ SX0 @ SX1 ) ) ) )
                  @ ( sK21_E @ t @ SV3
                    @ ^ [SX0: a,SX1: a] :
                        ( ( ( SV91 @ SX0 @ SX1 )
                          = ( SV92 @ SX0 @ SX1 ) )
                        | ( SV86 @ SX0 @ SX1 ) ) ) )
              | ~ ( SV3
                  @ ( sK21_E @ t @ SV3
                    @ ^ [SX0: a,SX1: a] :
                        ( ( ( SV91 @ SX0 @ SX1 )
                          = ( SV92 @ SX0 @ SX1 ) )
                        | ( SV86 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV91 @ SX0 @ SX1 )
                  = ( SV92 @ SX0 @ SX1 ) )
                | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ( SV91
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV91 @ SX0 @ SX1 )
                        = ( SV92 @ SX0 @ SX1 ) )
                      | ( SV86 @ SX0 @ SX1 ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
          = ( SV92
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV91 @ SX0 @ SX1 )
                        = ( SV92 @ SX0 @ SX1 ) )
                      | ( SV86 @ SX0 @ SX1 ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( SV91 @ SX0 @ SX1 )
                      = ( SV92 @ SX0 @ SX1 ) )
                    | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV3 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[207]) ).

thf(315,plain,
    ! [SV107: a > a > $o,SV106: a > a > $o] :
      ( ( ( t
          = ( sK22_E
            @ ^ [SX0: a,SX1: a] :
                ( ( SV106 @ SX0 @ SX1 )
                | ( SV107 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV106 @ SX0 @ SX1 )
                    | ( SV107 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV106 @ SX0 @ SX1 )
                  | ( SV107 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( SV106
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV106 @ SX0 @ SX1 )
                    | ( SV107 @ SX0 @ SX1 ) ) ) )
          @ ( sK22_E
            @ ^ [SX0: a,SX1: a] :
                ( ( SV106 @ SX0 @ SX1 )
                | ( SV107 @ SX0 @ SX1 ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[211]) ).

thf(317,plain,
    ! [SV107: a > a > $o,SV106: a > a > $o] :
      ( ( ( t
          = ( sK22_E
            @ ^ [SX0: a,SX1: a] :
                ( ( SV106 @ SX0 @ SX1 )
                | ( SV107 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV106 @ SX0 @ SX1 )
                    | ( SV107 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV106 @ SX0 @ SX1 )
                  | ( SV107 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( SV107
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV106 @ SX0 @ SX1 )
                    | ( SV107 @ SX0 @ SX1 ) ) ) )
          @ ( sK22_E
            @ ^ [SX0: a,SX1: a] :
                ( ( SV106 @ SX0 @ SX1 )
                | ( SV107 @ SX0 @ SX1 ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[212]) ).

thf(318,plain,
    ! [SV107: a > a > $o,SV106: a > a > $o] :
      ( ( $false = $true )
      | ( ( t
          = ( sK22_E
            @ ^ [SX0: a,SX1: a] :
                ( ( SV106 @ SX0 @ SX1 )
                | ( SV107 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV106 @ SX0 @ SX1 )
                    | ( SV107 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV106 @ SX0 @ SX1 )
                  | ( SV107 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( SV107
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV106 @ SX0 @ SX1 )
                    | ( SV107 @ SX0 @ SX1 ) ) ) )
          @ ( sK22_E
            @ ^ [SX0: a,SX1: a] :
                ( ( SV106 @ SX0 @ SX1 )
                | ( SV107 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( SV106
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV106 @ SX0 @ SX1 )
                    | ( SV107 @ SX0 @ SX1 ) ) ) )
          @ ( sK22_E
            @ ^ [SX0: a,SX1: a] :
                ( ( SV106 @ SX0 @ SX1 )
                | ( SV107 @ SX0 @ SX1 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[213]) ).

thf(319,plain,
    ! [SV212: a > a > $o,SV211: a > a > $o,SV5: a > $o] :
      ( ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[216]) ).

thf(320,plain,
    ! [SV212: a > a > $o,SV211: a > a > $o,SV5: a > $o] :
      ( ( ( t
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[216]) ).

thf(321,plain,
    ! [SV212: a > a > $o,SV211: a > a > $o,SV5: a > $o] :
      ( ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[217]) ).

thf(322,plain,
    ! [SV212: a > a > $o,SV211: a > a > $o,SV5: a > $o] :
      ( ( ( t
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[217]) ).

thf(323,plain,
    ! [SV212: a > a > $o,SV211: a > a > $o,SV5: a > $o] :
      ( ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( t
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( sK1_X @ SV5 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[218]) ).

thf(324,plain,
    ! [SV5: a > $o,SV268: a > a > a,SV267: a > a > a,SV211: a > a > $o] :
      ( ( ( ~ ( ( SV211
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SV211 @ SX0 @ SX1 )
                          | ( ( SV267 @ SX0 @ SX1 )
                            = ( SV268 @ SX0 @ SX1 ) ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( SV267 @ SX0 @ SX1 )
                        = ( SV268 @ SX0 @ SX1 ) ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( SV267 @ SX0 @ SX1 )
                        = ( SV268 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( SV267 @ SX0 @ SX1 )
                  = ( SV268 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( SV267
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( SV267 @ SX0 @ SX1 )
                        = ( SV268 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) )
          = ( SV268
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( SV267 @ SX0 @ SX1 )
                        = ( SV268 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( SV267 @ SX0 @ SX1 )
                      = ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[219]) ).

thf(325,plain,
    ! [SV5: a > $o,SV268: a > a > a,SV267: a > a > a,SV211: a > a > $o] :
      ( ( ( ~ ( ~ ( SV211
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SV211 @ SX0 @ SX1 )
                            | ( ( SV267 @ SX0 @ SX1 )
                              = ( SV268 @ SX0 @ SX1 ) ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( SV267 @ SX0 @ SX1 )
                          = ( SV268 @ SX0 @ SX1 ) ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( SV267 @ SX0 @ SX1 )
                          = ( SV268 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( SV267 @ SX0 @ SX1 )
                  = ( SV268 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( SV267
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( SV267 @ SX0 @ SX1 )
                        = ( SV268 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) )
          = ( SV268
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( SV267 @ SX0 @ SX1 )
                        = ( SV268 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( SV267 @ SX0 @ SX1 )
                      = ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[219]) ).

thf(326,plain,
    ! [SV5: a > $o,SV268: a > a > a,SV267: a > a > a,SV211: a > a > $o] :
      ( ( ( ~ ( ( SV211
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SV211 @ SX0 @ SX1 )
                          | ( ( SV267 @ SX0 @ SX1 )
                            = ( SV268 @ SX0 @ SX1 ) ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( SV267 @ SX0 @ SX1 )
                        = ( SV268 @ SX0 @ SX1 ) ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( SV267 @ SX0 @ SX1 )
                        = ( SV268 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( SV267 @ SX0 @ SX1 )
                  = ( SV268 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV267
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( SV267 @ SX0 @ SX1 )
                        = ( SV268 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) )
          = ( SV268
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( SV267 @ SX0 @ SX1 )
                        = ( SV268 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( SV267 @ SX0 @ SX1 )
                      = ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[221]) ).

thf(327,plain,
    ! [SV5: a > $o,SV268: a > a > a,SV267: a > a > a,SV211: a > a > $o] :
      ( ( ( ~ ( ~ ( SV211
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SV211 @ SX0 @ SX1 )
                            | ( ( SV267 @ SX0 @ SX1 )
                              = ( SV268 @ SX0 @ SX1 ) ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( SV267 @ SX0 @ SX1 )
                          = ( SV268 @ SX0 @ SX1 ) ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( SV267 @ SX0 @ SX1 )
                          = ( SV268 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( SV267 @ SX0 @ SX1 )
                  = ( SV268 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV267
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( SV267 @ SX0 @ SX1 )
                        = ( SV268 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) )
          = ( SV268
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( SV267 @ SX0 @ SX1 )
                        = ( SV268 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( SV267 @ SX0 @ SX1 )
                      = ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[221]) ).

thf(328,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( ( SV211
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SV211 @ SX0 @ SX1 )
                          | ( t = SX0 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( t = SX0 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( t = SX0 ) ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t = SX0 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( t = SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( t = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[223]) ).

thf(329,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( ~ ( SV211
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SV211 @ SX0 @ SX1 )
                            | ( t = SX0 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( t = SX0 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( t = SX0 ) ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t = SX0 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( t = SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( t = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[223]) ).

thf(330,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( ( SV211
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SV211 @ SX0 @ SX1 )
                          | ( t = SX1 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( t = SX1 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( t = SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( t = SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[225]) ).

thf(331,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( ~ ( SV211
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SV211 @ SX0 @ SX1 )
                            | ( t = SX1 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( t = SX1 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( t = SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( t = SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[225]) ).

thf(332,plain,
    ! [SV5: a > $o,SV300: a > a > a > a > $o,SV299: a > a > a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( ( SV211
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SV211 @ SX0 @ SX1 )
                          | ( t
                            = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( t
                        = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( t
                        = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) ) )
        = $false )
      | ( ( ( sK23_E
            @ ( SV299
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( t
                          = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t
                      = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
            @ ( SV300
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( t
                          = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t
                      = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( t
                  = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( t
                    = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t
                      = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[227]) ).

thf(333,plain,
    ! [SV5: a > $o,SV300: a > a > a > a > $o,SV299: a > a > a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( ~ ( SV211
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SV211 @ SX0 @ SX1 )
                            | ( t
                              = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( t
                          = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( t
                          = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) ) )
        = $false )
      | ( ( ( sK23_E
            @ ( SV299
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( t
                          = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t
                      = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
            @ ( SV300
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( t
                          = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t
                      = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( t
                  = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( t
                    = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t
                      = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[227]) ).

thf(334,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( ( SV211
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SV211 @ SX0 @ SX1 )
                          | ( SX0 = SX0 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX0 = SX0 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX0 = SX0 ) ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[229]) ).

thf(335,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( ~ ( SV211
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SV211 @ SX0 @ SX1 )
                            | ( SX0 = SX0 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX0 = SX0 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX0 = SX0 ) ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[229]) ).

thf(336,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( ( SV211
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SV211 @ SX0 @ SX1 )
                          | ( SX0 = SX1 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX0 = SX1 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX0 = SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX1 ) ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[231]) ).

thf(337,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( ~ ( SV211
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SV211 @ SX0 @ SX1 )
                            | ( SX0 = SX1 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX0 = SX1 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX0 = SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX1 ) ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[231]) ).

thf(338,plain,
    ! [SV5: a > $o,SV306: a > a > a > a > $o,SV305: a > a > a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( ( SV211
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SV211 @ SX0 @ SX1 )
                          | ( SX0
                            = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX0
                        = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX0
                        = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0
                      = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV305
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX0
                          = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0
                      = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
            @ ( SV306
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX0
                          = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0
                      = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0
                  = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0
                    = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0
                      = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[233]) ).

thf(339,plain,
    ! [SV5: a > $o,SV306: a > a > a > a > $o,SV305: a > a > a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( ~ ( SV211
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SV211 @ SX0 @ SX1 )
                            | ( SX0
                              = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX0
                          = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX0
                          = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0
                      = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV305
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX0
                          = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0
                      = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
            @ ( SV306
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX0
                          = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0
                      = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0
                  = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0
                    = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0
                      = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[233]) ).

thf(340,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( ( SV211
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SV211 @ SX0 @ SX1 )
                          | ( SX1 = SX0 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX1 = SX0 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX1 = SX0 ) ) ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX0 ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX0 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[235]) ).

thf(341,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( ~ ( SV211
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SV211 @ SX0 @ SX1 )
                            | ( SX1 = SX0 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX1 = SX0 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX1 = SX0 ) ) ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX0 ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX0 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[235]) ).

thf(342,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( ( SV211
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SV211 @ SX0 @ SX1 )
                          | ( SX1 = SX1 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX1 = SX1 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX1 = SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX1 ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[237]) ).

thf(343,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( ~ ( SV211
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SV211 @ SX0 @ SX1 )
                            | ( SX1 = SX1 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX1 = SX1 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX1 = SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX1 ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[237]) ).

thf(344,plain,
    ! [SV5: a > $o,SV312: a > a > a > a > $o,SV311: a > a > a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( ( SV211
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SV211 @ SX0 @ SX1 )
                          | ( SX1
                            = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX1
                        = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX1
                        = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1
                  = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV311
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX1
                          = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1
                      = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
            @ ( SV312
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX1
                          = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1
                      = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1
                  = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1
                    = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1
                      = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[239]) ).

thf(345,plain,
    ! [SV5: a > $o,SV312: a > a > a > a > $o,SV311: a > a > a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( ~ ( SV211
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SV211 @ SX0 @ SX1 )
                            | ( SX1
                              = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX1
                          = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX1
                          = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1
                  = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV311
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX1
                          = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1
                      = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
            @ ( SV312
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX1
                          = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1
                      = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1
                  = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1
                    = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1
                      = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[239]) ).

thf(346,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( ( SV211
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SV211 @ SX0 @ SX1 )
                          | ( SX0 = t ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX0 = t ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX0 = t ) ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = t ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = t ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = t ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = t ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[241]) ).

thf(347,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( ~ ( SV211
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SV211 @ SX0 @ SX1 )
                            | ( SX0 = t ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX0 = t ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX0 = t ) ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = t ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = t ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = t ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = t ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[241]) ).

thf(348,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( ( SV211
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SV211 @ SX0 @ SX1 )
                          | ( SX1 = t ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX1 = t ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX1 = t ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = t ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = t ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[243]) ).

thf(349,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( ~ ( SV211
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SV211 @ SX0 @ SX1 )
                            | ( SX1 = t ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX1 = t ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX1 = t ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = t ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = t ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[243]) ).

thf(350,plain,
    ! [SV5: a > $o,SV278: a > a > a > a > $o,SV277: a > a > a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( ( SV211
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SV211 @ SX0 @ SX1 )
                          | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                            = t ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                        = t ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                        = t ) ) ) ) ) )
        = $false )
      | ( ( ( sK23_E
            @ ( SV277
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                          = t ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                      = t ) ) ) )
            @ ( SV278
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                          = t ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                      = t ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                  = t ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                    = t ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                      = t ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[245]) ).

thf(351,plain,
    ! [SV5: a > $o,SV278: a > a > a > a > $o,SV277: a > a > a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( ~ ( SV211
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SV211 @ SX0 @ SX1 )
                            | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                              = t ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                          = t ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                          = t ) ) ) ) ) )
        = $false )
      | ( ( ( sK23_E
            @ ( SV277
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                          = t ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                      = t ) ) ) )
            @ ( SV278
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                          = t ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                      = t ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                  = t ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                    = t ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                      = t ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[245]) ).

thf(352,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( ( SV211
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SV211 @ SX0 @ SX1 )
                          | ( SX0 = SX0 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX0 = SX0 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX0 = SX0 ) ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[247]) ).

thf(353,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( ~ ( SV211
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SV211 @ SX0 @ SX1 )
                            | ( SX0 = SX0 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX0 = SX0 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX0 = SX0 ) ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[247]) ).

thf(354,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( ( SV211
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SV211 @ SX0 @ SX1 )
                          | ( SX1 = SX0 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX1 = SX0 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX1 = SX0 ) ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX0 ) ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[249]) ).

thf(355,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( ~ ( SV211
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SV211 @ SX0 @ SX1 )
                            | ( SX1 = SX0 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX1 = SX0 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX1 = SX0 ) ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX0 ) ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[249]) ).

thf(356,plain,
    ! [SV5: a > $o,SV284: a > a > a > a > $o,SV283: a > a > a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( ( SV211
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SV211 @ SX0 @ SX1 )
                          | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                            = SX0 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                        = SX0 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                        = SX0 ) ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                      = SX0 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV283
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                          = SX0 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                      = SX0 ) ) ) )
            @ ( SV284
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                          = SX0 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                      = SX0 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                  = SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                    = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                      = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[251]) ).

thf(357,plain,
    ! [SV5: a > $o,SV284: a > a > a > a > $o,SV283: a > a > a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( ~ ( SV211
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SV211 @ SX0 @ SX1 )
                            | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                              = SX0 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                          = SX0 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                          = SX0 ) ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                      = SX0 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV283
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                          = SX0 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                      = SX0 ) ) ) )
            @ ( SV284
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                          = SX0 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                      = SX0 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                  = SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                    = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                      = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[251]) ).

thf(358,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( ( SV211
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SV211 @ SX0 @ SX1 )
                          | ( SX0 = SX1 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX0 = SX1 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX0 = SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX1 ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[253]) ).

thf(359,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( ~ ( SV211
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SV211 @ SX0 @ SX1 )
                            | ( SX0 = SX1 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX0 = SX1 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX0 = SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX1 ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[253]) ).

thf(360,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( ( SV211
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SV211 @ SX0 @ SX1 )
                          | ( SX1 = SX1 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX1 = SX1 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX1 = SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX1 ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[255]) ).

thf(361,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( ~ ( SV211
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SV211 @ SX0 @ SX1 )
                            | ( SX1 = SX1 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX1 = SX1 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX1 = SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX1 ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[255]) ).

thf(362,plain,
    ! [SV5: a > $o,SV290: a > a > a > a > $o,SV289: a > a > a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( ( SV211
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SV211 @ SX0 @ SX1 )
                          | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                            = SX1 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                        = SX1 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                        = SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                  = SX1 ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV289
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                          = SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                      = SX1 ) ) ) )
            @ ( SV290
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                          = SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                      = SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                  = SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                    = SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                      = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[257]) ).

thf(363,plain,
    ! [SV5: a > $o,SV290: a > a > a > a > $o,SV289: a > a > a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( ~ ( SV211
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SV211 @ SX0 @ SX1 )
                            | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                              = SX1 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                          = SX1 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                          = SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                  = SX1 ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV289
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                          = SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                      = SX1 ) ) ) )
            @ ( SV290
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                          = SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                      = SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                  = SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                    = SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                      = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[257]) ).

thf(364,plain,
    ! [SV5: a > $o,SV218: a > a > a,SV217: a > a > a,SV212: a > a > $o] :
      ( ( ( ~ ( ( SV212
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( ( SV217 @ SX0 @ SX1 )
                            = ( SV218 @ SX0 @ SX1 ) )
                          | ( SV212 @ SX0 @ SX1 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( ( SV217 @ SX0 @ SX1 )
                        = ( SV218 @ SX0 @ SX1 ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( ( SV217 @ SX0 @ SX1 )
                        = ( SV218 @ SX0 @ SX1 ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV217 @ SX0 @ SX1 )
                  = ( SV218 @ SX0 @ SX1 ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( SV217
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV217 @ SX0 @ SX1 )
                        = ( SV218 @ SX0 @ SX1 ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV218
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV217 @ SX0 @ SX1 )
                        = ( SV218 @ SX0 @ SX1 ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( SV217 @ SX0 @ SX1 )
                      = ( SV218 @ SX0 @ SX1 ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[259]) ).

thf(365,plain,
    ! [SV5: a > $o,SV218: a > a > a,SV217: a > a > a,SV212: a > a > $o] :
      ( ( ( ~ ( ~ ( SV212
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( ( SV217 @ SX0 @ SX1 )
                              = ( SV218 @ SX0 @ SX1 ) )
                            | ( SV212 @ SX0 @ SX1 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( ( SV217 @ SX0 @ SX1 )
                          = ( SV218 @ SX0 @ SX1 ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( ( SV217 @ SX0 @ SX1 )
                          = ( SV218 @ SX0 @ SX1 ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV217 @ SX0 @ SX1 )
                  = ( SV218 @ SX0 @ SX1 ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( SV217
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV217 @ SX0 @ SX1 )
                        = ( SV218 @ SX0 @ SX1 ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV218
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV217 @ SX0 @ SX1 )
                        = ( SV218 @ SX0 @ SX1 ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( SV217 @ SX0 @ SX1 )
                      = ( SV218 @ SX0 @ SX1 ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[259]) ).

thf(366,plain,
    ! [SV5: a > $o,SV218: a > a > a,SV217: a > a > a,SV212: a > a > $o] :
      ( ( ( ~ ( ( SV212
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( ( SV217 @ SX0 @ SX1 )
                            = ( SV218 @ SX0 @ SX1 ) )
                          | ( SV212 @ SX0 @ SX1 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( ( SV217 @ SX0 @ SX1 )
                        = ( SV218 @ SX0 @ SX1 ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( ( SV217 @ SX0 @ SX1 )
                        = ( SV218 @ SX0 @ SX1 ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV217 @ SX0 @ SX1 )
                  = ( SV218 @ SX0 @ SX1 ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ( SV217
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV217 @ SX0 @ SX1 )
                        = ( SV218 @ SX0 @ SX1 ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV218
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV217 @ SX0 @ SX1 )
                        = ( SV218 @ SX0 @ SX1 ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( SV217 @ SX0 @ SX1 )
                      = ( SV218 @ SX0 @ SX1 ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[261]) ).

thf(367,plain,
    ! [SV5: a > $o,SV218: a > a > a,SV217: a > a > a,SV212: a > a > $o] :
      ( ( ( ~ ( ~ ( SV212
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( ( SV217 @ SX0 @ SX1 )
                              = ( SV218 @ SX0 @ SX1 ) )
                            | ( SV212 @ SX0 @ SX1 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( ( SV217 @ SX0 @ SX1 )
                          = ( SV218 @ SX0 @ SX1 ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( ( SV217 @ SX0 @ SX1 )
                          = ( SV218 @ SX0 @ SX1 ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV217 @ SX0 @ SX1 )
                  = ( SV218 @ SX0 @ SX1 ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ( SV217
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV217 @ SX0 @ SX1 )
                        = ( SV218 @ SX0 @ SX1 ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV218
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV217 @ SX0 @ SX1 )
                        = ( SV218 @ SX0 @ SX1 ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( SV217 @ SX0 @ SX1 )
                      = ( SV218 @ SX0 @ SX1 ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[261]) ).

thf(368,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( ( SV212
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( t = SX0 )
                          | ( SV212 @ SX0 @ SX1 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( t = SX0 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( t = SX0 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( t = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( t = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( t = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( t = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[263]) ).

thf(369,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( ~ ( SV212
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( t = SX0 )
                            | ( SV212 @ SX0 @ SX1 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( t = SX0 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( t = SX0 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( t = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( t = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( t = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( t = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[263]) ).

thf(370,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( ( SV212
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( t = SX1 )
                          | ( SV212 @ SX0 @ SX1 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( t = SX1 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( t = SX1 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( t = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( t = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[265]) ).

thf(371,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( ~ ( SV212
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( t = SX1 )
                            | ( SV212 @ SX0 @ SX1 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( t = SX1 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( t = SX1 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( t = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( t = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[265]) ).

thf(372,plain,
    ! [SV5: a > $o,SV250: a > a > a > a > $o,SV249: a > a > a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( ( SV212
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( t
                            = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                          | ( SV212 @ SX0 @ SX1 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( t
                        = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( t
                        = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK23_E
            @ ( SV249
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( t
                          = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( t
                      = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV250
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( t
                          = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( t
                      = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( t
                  = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( t
                    = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( t
                      = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[267]) ).

thf(373,plain,
    ! [SV5: a > $o,SV250: a > a > a > a > $o,SV249: a > a > a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( ~ ( SV212
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( t
                              = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                            | ( SV212 @ SX0 @ SX1 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( t
                          = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( t
                          = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK23_E
            @ ( SV249
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( t
                          = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( t
                      = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV250
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( t
                          = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( t
                      = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( t
                  = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( t
                    = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( t
                      = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[267]) ).

thf(374,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( ( SV212
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SX0 = SX0 )
                          | ( SV212 @ SX0 @ SX1 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SX0 = SX0 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SX0 = SX0 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[269]) ).

thf(375,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( ~ ( SV212
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SX0 = SX0 )
                            | ( SV212 @ SX0 @ SX1 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SX0 = SX0 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SX0 = SX0 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[269]) ).

thf(376,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( ( SV212
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SX0 = SX1 )
                          | ( SV212 @ SX0 @ SX1 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SX0 = SX1 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SX0 = SX1 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[271]) ).

thf(377,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( ~ ( SV212
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SX0 = SX1 )
                            | ( SV212 @ SX0 @ SX1 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SX0 = SX1 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SX0 = SX1 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[271]) ).

thf(378,plain,
    ! [SV5: a > $o,SV256: a > a > a > a > $o,SV255: a > a > a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( ( SV212
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SX0
                            = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                          | ( SV212 @ SX0 @ SX1 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SX0
                        = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SX0
                        = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0
                      = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV255
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX0
                          = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX0
                      = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV256
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX0
                          = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX0
                      = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0
                  = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0
                    = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0
                      = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[273]) ).

thf(379,plain,
    ! [SV5: a > $o,SV256: a > a > a > a > $o,SV255: a > a > a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( ~ ( SV212
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SX0
                              = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                            | ( SV212 @ SX0 @ SX1 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SX0
                          = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SX0
                          = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0
                      = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV255
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX0
                          = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX0
                      = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV256
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX0
                          = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX0
                      = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0
                  = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0
                    = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0
                      = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[273]) ).

thf(380,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( ( SV212
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SX1 = SX0 )
                          | ( SV212 @ SX0 @ SX1 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SX1 = SX0 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SX1 = SX0 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[275]) ).

thf(381,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( ~ ( SV212
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SX1 = SX0 )
                            | ( SV212 @ SX0 @ SX1 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SX1 = SX0 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SX1 = SX0 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[275]) ).

thf(382,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( ( SV212
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SX1 = SX1 )
                          | ( SV212 @ SX0 @ SX1 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SX1 = SX1 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SX1 = SX1 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[277]) ).

thf(383,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( ~ ( SV212
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SX1 = SX1 )
                            | ( SV212 @ SX0 @ SX1 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SX1 = SX1 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SX1 = SX1 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[277]) ).

thf(384,plain,
    ! [SV5: a > $o,SV262: a > a > a > a > $o,SV261: a > a > a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( ( SV212
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SX1
                            = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                          | ( SV212 @ SX0 @ SX1 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SX1
                        = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SX1
                        = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1
                  = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV261
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX1
                          = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX1
                      = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV262
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX1
                          = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX1
                      = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1
                  = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1
                    = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1
                      = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[279]) ).

thf(385,plain,
    ! [SV5: a > $o,SV262: a > a > a > a > $o,SV261: a > a > a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( ~ ( SV212
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SX1
                              = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                            | ( SV212 @ SX0 @ SX1 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SX1
                          = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SX1
                          = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1
                  = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV261
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX1
                          = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX1
                      = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV262
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX1
                          = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX1
                      = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1
                  = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1
                    = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1
                      = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[279]) ).

thf(386,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( ( SV212
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SX0 = t )
                          | ( SV212 @ SX0 @ SX1 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SX0 = t )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SX0 = t )
                      | ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = t )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0 = t )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[281]) ).

thf(387,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( ~ ( SV212
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SX0 = t )
                            | ( SV212 @ SX0 @ SX1 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SX0 = t )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SX0 = t )
                        | ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = t )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0 = t )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[281]) ).

thf(388,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( ( SV212
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SX1 = t )
                          | ( SV212 @ SX0 @ SX1 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SX1 = t )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SX1 = t )
                      | ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1 = t )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[283]) ).

thf(389,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( ~ ( SV212
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SX1 = t )
                            | ( SV212 @ SX0 @ SX1 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SX1 = t )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SX1 = t )
                        | ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1 = t )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[283]) ).

thf(390,plain,
    ! [SV5: a > $o,SV228: a > a > a > a > $o,SV227: a > a > a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( ( SV212
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                            = t )
                          | ( SV212 @ SX0 @ SX1 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                        = t )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                        = t )
                      | ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK23_E
            @ ( SV227
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                          = t )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                      = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV228
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                          = t )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                      = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                  = t )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                    = t )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                      = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[285]) ).

thf(391,plain,
    ! [SV5: a > $o,SV228: a > a > a > a > $o,SV227: a > a > a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( ~ ( SV212
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                              = t )
                            | ( SV212 @ SX0 @ SX1 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                          = t )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                          = t )
                        | ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK23_E
            @ ( SV227
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                          = t )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                      = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV228
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                          = t )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                      = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                  = t )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                    = t )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                      = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[285]) ).

thf(392,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( ( SV212
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SX0 = SX0 )
                          | ( SV212 @ SX0 @ SX1 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SX0 = SX0 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SX0 = SX0 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[287]) ).

thf(393,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( ~ ( SV212
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SX0 = SX0 )
                            | ( SV212 @ SX0 @ SX1 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SX0 = SX0 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SX0 = SX0 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[287]) ).

thf(394,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( ( SV212
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SX1 = SX0 )
                          | ( SV212 @ SX0 @ SX1 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SX1 = SX0 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SX1 = SX0 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[289]) ).

thf(395,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( ~ ( SV212
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SX1 = SX0 )
                            | ( SV212 @ SX0 @ SX1 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SX1 = SX0 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SX1 = SX0 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[289]) ).

thf(396,plain,
    ! [SV5: a > $o,SV234: a > a > a > a > $o,SV233: a > a > a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( ( SV212
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                            = SX0 )
                          | ( SV212 @ SX0 @ SX1 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                        = SX0 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                        = SX0 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                      = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV233
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                          = SX0 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                      = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV234
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                          = SX0 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                      = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                  = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                    = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                      = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[291]) ).

thf(397,plain,
    ! [SV5: a > $o,SV234: a > a > a > a > $o,SV233: a > a > a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( ~ ( SV212
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                              = SX0 )
                            | ( SV212 @ SX0 @ SX1 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                          = SX0 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                          = SX0 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                      = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV233
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                          = SX0 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                      = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV234
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                          = SX0 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                      = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                  = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                    = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                      = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[291]) ).

thf(398,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( ( SV212
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SX0 = SX1 )
                          | ( SV212 @ SX0 @ SX1 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SX0 = SX1 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SX0 = SX1 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[293]) ).

thf(399,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( ~ ( SV212
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SX0 = SX1 )
                            | ( SV212 @ SX0 @ SX1 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SX0 = SX1 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SX0 = SX1 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[293]) ).

thf(400,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( ( SV212
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( SX1 = SX1 )
                          | ( SV212 @ SX0 @ SX1 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SX1 = SX1 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( SX1 = SX1 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[295]) ).

thf(401,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( ~ ( SV212
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( SX1 = SX1 )
                            | ( SV212 @ SX0 @ SX1 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SX1 = SX1 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( SX1 = SX1 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[295]) ).

thf(402,plain,
    ! [SV5: a > $o,SV240: a > a > a > a > $o,SV239: a > a > a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( ( SV212
                @ ( sK5_E @ t
                  @ ^ [SX0: a] :
                      ( sK1_X
                      @ ^ [SX1: a] :
                          ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                            = SX1 )
                          | ( SV212 @ SX0 @ SX1 ) ) ) )
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                        = SX1 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ( SV5
                @ ( sK23_E @ SV5
                  @ ^ [SX0: a,SX1: a] :
                      ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                        = SX1 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                  = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV239
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                          = SX1 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                      = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV240
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                          = SX1 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                      = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                  = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                    = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                      = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[297]) ).

thf(403,plain,
    ! [SV5: a > $o,SV240: a > a > a > a > $o,SV239: a > a > a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( ~ ( SV212
                  @ ( sK5_E @ t
                    @ ^ [SX0: a] :
                        ( sK1_X
                        @ ^ [SX1: a] :
                            ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                              = SX1 )
                            | ( SV212 @ SX0 @ SX1 ) ) ) )
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                          = SX1 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              | ~ ( SV5
                  @ ( sK23_E @ SV5
                    @ ^ [SX0: a,SX1: a] :
                        ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                          = SX1 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                  = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV239
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                          = SX1 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                      = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV240
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                          = SX1 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                      = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                  = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                    = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                      = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[297]) ).

thf(404,plain,
    ! [SV3: a > $o,SV98: a > a > a,SV97: a > a > a,SV85: a > a > $o] :
      ( ( ( ( SV85
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( ( SV97 @ SX0 @ SX1 )
                        = ( SV98 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) )
          | ( SV3
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
        = $true )
      | ( ( t
          = ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( SV85 @ SX0 @ SX1 )
                | ( ( SV97 @ SX0 @ SX1 )
                  = ( SV98 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( SV97
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( ( SV97 @ SX0 @ SX1 )
                        = ( SV98 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) )
          = ( SV98
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( ( SV97 @ SX0 @ SX1 )
                        = ( SV98 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV85 @ SX0 @ SX1 )
                    | ( ( SV97 @ SX0 @ SX1 )
                      = ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV3 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[306]) ).

thf(405,plain,
    ! [SV3: a > $o,SV98: a > a > a,SV97: a > a > a,SV85: a > a > $o] :
      ( ( ( ~ ( SV85
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV85 @ SX0 @ SX1 )
                        | ( ( SV97 @ SX0 @ SX1 )
                          = ( SV98 @ SX0 @ SX1 ) ) ) ) )
              @ ( sK21_E @ t @ SV3
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV85 @ SX0 @ SX1 )
                    | ( ( SV97 @ SX0 @ SX1 )
                      = ( SV98 @ SX0 @ SX1 ) ) ) ) )
          | ~ ( SV3
              @ ( sK21_E @ t @ SV3
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV85 @ SX0 @ SX1 )
                    | ( ( SV97 @ SX0 @ SX1 )
                      = ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
        = $true )
      | ( ( t
          = ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( SV85 @ SX0 @ SX1 )
                | ( ( SV97 @ SX0 @ SX1 )
                  = ( SV98 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( SV97
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( ( SV97 @ SX0 @ SX1 )
                        = ( SV98 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) )
          = ( SV98
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( ( SV97 @ SX0 @ SX1 )
                        = ( SV98 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV85 @ SX0 @ SX1 )
                    | ( ( SV97 @ SX0 @ SX1 )
                      = ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV3 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[307]) ).

thf(406,plain,
    ! [SV3: a > $o,SV98: a > a > a,SV97: a > a > a,SV85: a > a > $o] :
      ( ( ( ( SV85
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( ( SV97 @ SX0 @ SX1 )
                        = ( SV98 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) )
          | ( SV3
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
        = $true )
      | ( ( t
          = ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( SV85 @ SX0 @ SX1 )
                | ( ( SV97 @ SX0 @ SX1 )
                  = ( SV98 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV97
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( ( SV97 @ SX0 @ SX1 )
                        = ( SV98 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) )
          = ( SV98
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( ( SV97 @ SX0 @ SX1 )
                        = ( SV98 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV85 @ SX0 @ SX1 )
                    | ( ( SV97 @ SX0 @ SX1 )
                      = ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV3 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[308]) ).

thf(407,plain,
    ! [SV3: a > $o,SV98: a > a > a,SV97: a > a > a,SV85: a > a > $o] :
      ( ( ( ~ ( SV85
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV85 @ SX0 @ SX1 )
                        | ( ( SV97 @ SX0 @ SX1 )
                          = ( SV98 @ SX0 @ SX1 ) ) ) ) )
              @ ( sK21_E @ t @ SV3
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV85 @ SX0 @ SX1 )
                    | ( ( SV97 @ SX0 @ SX1 )
                      = ( SV98 @ SX0 @ SX1 ) ) ) ) )
          | ~ ( SV3
              @ ( sK21_E @ t @ SV3
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV85 @ SX0 @ SX1 )
                    | ( ( SV97 @ SX0 @ SX1 )
                      = ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
        = $true )
      | ( ( t
          = ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( SV85 @ SX0 @ SX1 )
                | ( ( SV97 @ SX0 @ SX1 )
                  = ( SV98 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV97
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( ( SV97 @ SX0 @ SX1 )
                        = ( SV98 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) )
          = ( SV98
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( ( SV97 @ SX0 @ SX1 )
                        = ( SV98 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV85 @ SX0 @ SX1 )
                    | ( ( SV97 @ SX0 @ SX1 )
                      = ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV3 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[309]) ).

thf(408,plain,
    ! [SV3: a > $o,SV92: a > a > a,SV91: a > a > a,SV86: a > a > $o] :
      ( ( ( ( SV86
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV91 @ SX0 @ SX1 )
                        = ( SV92 @ SX0 @ SX1 ) )
                      | ( SV86 @ SX0 @ SX1 ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
          | ( SV3
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( t
          = ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV91 @ SX0 @ SX1 )
                  = ( SV92 @ SX0 @ SX1 ) )
                | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( SV91
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV91 @ SX0 @ SX1 )
                        = ( SV92 @ SX0 @ SX1 ) )
                      | ( SV86 @ SX0 @ SX1 ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
          = ( SV92
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV91 @ SX0 @ SX1 )
                        = ( SV92 @ SX0 @ SX1 ) )
                      | ( SV86 @ SX0 @ SX1 ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( SV91 @ SX0 @ SX1 )
                      = ( SV92 @ SX0 @ SX1 ) )
                    | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV3 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[310]) ).

thf(409,plain,
    ! [SV3: a > $o,SV92: a > a > a,SV91: a > a > a,SV86: a > a > $o] :
      ( ( ( ~ ( SV86
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( SV91 @ SX0 @ SX1 )
                          = ( SV92 @ SX0 @ SX1 ) )
                        | ( SV86 @ SX0 @ SX1 ) ) ) )
              @ ( sK21_E @ t @ SV3
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( SV91 @ SX0 @ SX1 )
                      = ( SV92 @ SX0 @ SX1 ) )
                    | ( SV86 @ SX0 @ SX1 ) ) ) )
          | ~ ( SV3
              @ ( sK21_E @ t @ SV3
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( SV91 @ SX0 @ SX1 )
                      = ( SV92 @ SX0 @ SX1 ) )
                    | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( t
          = ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV91 @ SX0 @ SX1 )
                  = ( SV92 @ SX0 @ SX1 ) )
                | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( SV91
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV91 @ SX0 @ SX1 )
                        = ( SV92 @ SX0 @ SX1 ) )
                      | ( SV86 @ SX0 @ SX1 ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
          = ( SV92
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV91 @ SX0 @ SX1 )
                        = ( SV92 @ SX0 @ SX1 ) )
                      | ( SV86 @ SX0 @ SX1 ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( SV91 @ SX0 @ SX1 )
                      = ( SV92 @ SX0 @ SX1 ) )
                    | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV3 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[311]) ).

thf(410,plain,
    ! [SV3: a > $o,SV92: a > a > a,SV91: a > a > a,SV86: a > a > $o] :
      ( ( ( ( SV86
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV91 @ SX0 @ SX1 )
                        = ( SV92 @ SX0 @ SX1 ) )
                      | ( SV86 @ SX0 @ SX1 ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
          | ( SV3
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( t
          = ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV91 @ SX0 @ SX1 )
                  = ( SV92 @ SX0 @ SX1 ) )
                | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ( SV91
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV91 @ SX0 @ SX1 )
                        = ( SV92 @ SX0 @ SX1 ) )
                      | ( SV86 @ SX0 @ SX1 ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
          = ( SV92
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV91 @ SX0 @ SX1 )
                        = ( SV92 @ SX0 @ SX1 ) )
                      | ( SV86 @ SX0 @ SX1 ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( SV91 @ SX0 @ SX1 )
                      = ( SV92 @ SX0 @ SX1 ) )
                    | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV3 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[312]) ).

thf(411,plain,
    ! [SV3: a > $o,SV92: a > a > a,SV91: a > a > a,SV86: a > a > $o] :
      ( ( ( ~ ( SV86
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( SV91 @ SX0 @ SX1 )
                          = ( SV92 @ SX0 @ SX1 ) )
                        | ( SV86 @ SX0 @ SX1 ) ) ) )
              @ ( sK21_E @ t @ SV3
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( SV91 @ SX0 @ SX1 )
                      = ( SV92 @ SX0 @ SX1 ) )
                    | ( SV86 @ SX0 @ SX1 ) ) ) )
          | ~ ( SV3
              @ ( sK21_E @ t @ SV3
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( SV91 @ SX0 @ SX1 )
                      = ( SV92 @ SX0 @ SX1 ) )
                    | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( t
          = ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV91 @ SX0 @ SX1 )
                  = ( SV92 @ SX0 @ SX1 ) )
                | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ( SV91
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV91 @ SX0 @ SX1 )
                        = ( SV92 @ SX0 @ SX1 ) )
                      | ( SV86 @ SX0 @ SX1 ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
          = ( SV92
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV91 @ SX0 @ SX1 )
                        = ( SV92 @ SX0 @ SX1 ) )
                      | ( SV86 @ SX0 @ SX1 ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( SV91 @ SX0 @ SX1 )
                      = ( SV92 @ SX0 @ SX1 ) )
                    | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV3 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[313]) ).

thf(412,plain,
    ! [SV5: a > $o,SV268: a > a > a,SV267: a > a > a,SV211: a > a > $o] :
      ( ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( SV267 @ SX0 @ SX1 )
                        = ( SV268 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) )
          | ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
        = $true )
      | ( ( t
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( SV267 @ SX0 @ SX1 )
                  = ( SV268 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( SV267
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( SV267 @ SX0 @ SX1 )
                        = ( SV268 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) )
          = ( SV268
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( SV267 @ SX0 @ SX1 )
                        = ( SV268 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( SV267 @ SX0 @ SX1 )
                      = ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[324]) ).

thf(413,plain,
    ! [SV5: a > $o,SV268: a > a > a,SV267: a > a > a,SV211: a > a > $o] :
      ( ( ( ~ ( SV211
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( SV267 @ SX0 @ SX1 )
                          = ( SV268 @ SX0 @ SX1 ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( SV267 @ SX0 @ SX1 )
                      = ( SV268 @ SX0 @ SX1 ) ) ) ) )
          | ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( SV267 @ SX0 @ SX1 )
                      = ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
        = $true )
      | ( ( t
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( SV267 @ SX0 @ SX1 )
                  = ( SV268 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( SV267
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( SV267 @ SX0 @ SX1 )
                        = ( SV268 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) )
          = ( SV268
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( SV267 @ SX0 @ SX1 )
                        = ( SV268 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( SV267 @ SX0 @ SX1 )
                      = ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[325]) ).

thf(414,plain,
    ! [SV5: a > $o,SV268: a > a > a,SV267: a > a > a,SV211: a > a > $o] :
      ( ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( SV267 @ SX0 @ SX1 )
                        = ( SV268 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) )
          | ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
        = $true )
      | ( ( t
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( SV267 @ SX0 @ SX1 )
                  = ( SV268 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV267
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( SV267 @ SX0 @ SX1 )
                        = ( SV268 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) )
          = ( SV268
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( SV267 @ SX0 @ SX1 )
                        = ( SV268 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( SV267 @ SX0 @ SX1 )
                      = ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[326]) ).

thf(415,plain,
    ! [SV5: a > $o,SV268: a > a > a,SV267: a > a > a,SV211: a > a > $o] :
      ( ( ( ~ ( SV211
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( SV267 @ SX0 @ SX1 )
                          = ( SV268 @ SX0 @ SX1 ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( SV267 @ SX0 @ SX1 )
                      = ( SV268 @ SX0 @ SX1 ) ) ) ) )
          | ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( SV267 @ SX0 @ SX1 )
                      = ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
        = $true )
      | ( ( t
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( SV267 @ SX0 @ SX1 )
                  = ( SV268 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV267
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( SV267 @ SX0 @ SX1 )
                        = ( SV268 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) )
          = ( SV268
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( SV267 @ SX0 @ SX1 )
                        = ( SV268 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( SV267 @ SX0 @ SX1 )
                      = ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[327]) ).

thf(416,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( t = SX0 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( t = SX0 ) ) ) )
          | ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( t = SX0 ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t = SX0 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( t = SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( t = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[328]) ).

thf(417,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( SV211
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( t = SX0 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t = SX0 ) ) ) )
          | ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t = SX0 ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t = SX0 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( t = SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( t = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[329]) ).

thf(418,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( t = SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( t = SX1 ) ) ) )
          | ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( t = SX1 ) ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( t = SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[330]) ).

thf(419,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( SV211
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( t = SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t = SX1 ) ) ) )
          | ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t = SX1 ) ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( t = SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[331]) ).

thf(420,plain,
    ! [SV5: a > $o,SV300: a > a > a > a > $o,SV299: a > a > a > $o,SV211: a > a > $o] :
      ( ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( t
                        = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( t
                    = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
          | ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( t
                    = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $true )
      | ( ( ( sK23_E
            @ ( SV299
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( t
                          = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t
                      = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
            @ ( SV300
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( t
                          = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t
                      = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( t
                  = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( t
                    = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t
                      = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[332]) ).

thf(421,plain,
    ! [SV5: a > $o,SV300: a > a > a > a > $o,SV299: a > a > a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( SV211
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( t
                          = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t
                      = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
          | ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t
                      = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $true )
      | ( ( ( sK23_E
            @ ( SV299
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( t
                          = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t
                      = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
            @ ( SV300
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( t
                          = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t
                      = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( t
                  = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( t
                    = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t
                      = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[333]) ).

thf(422,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX0 = SX0 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX0 ) ) ) )
          | ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX0 ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[334]) ).

thf(423,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( SV211
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX0 = SX0 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) )
          | ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[335]) ).

thf(424,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX0 = SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX1 ) ) ) )
          | ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX1 ) ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[336]) ).

thf(425,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( SV211
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX0 = SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX1 ) ) ) )
          | ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX1 ) ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[337]) ).

thf(426,plain,
    ! [SV5: a > $o,SV306: a > a > a > a > $o,SV305: a > a > a > $o,SV211: a > a > $o] :
      ( ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX0
                        = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0
                    = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
          | ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0
                    = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0
                      = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV305
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX0
                          = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0
                      = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
            @ ( SV306
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX0
                          = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0
                      = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0
                  = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0
                    = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0
                      = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[338]) ).

thf(427,plain,
    ! [SV5: a > $o,SV306: a > a > a > a > $o,SV305: a > a > a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( SV211
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX0
                          = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0
                      = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
          | ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0
                      = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0
                      = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV305
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX0
                          = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0
                      = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
            @ ( SV306
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX0
                          = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0
                      = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0
                  = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0
                    = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0
                      = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[339]) ).

thf(428,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX1 = SX0 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX0 ) ) ) )
          | ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX0 ) ) ) ) )
        = $true )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX0 ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX0 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[340]) ).

thf(429,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( SV211
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX1 = SX0 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX0 ) ) ) )
          | ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX0 ) ) ) ) )
        = $true )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX0 ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX0 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[341]) ).

thf(430,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX1 = SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX1 ) ) ) )
          | ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX1 ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[342]) ).

thf(431,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( SV211
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX1 = SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX1 ) ) ) )
          | ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX1 ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[343]) ).

thf(432,plain,
    ! [SV5: a > $o,SV312: a > a > a > a > $o,SV311: a > a > a > $o,SV211: a > a > $o] :
      ( ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX1
                        = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1
                    = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
          | ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1
                    = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $true )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1
                  = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV311
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX1
                          = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1
                      = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
            @ ( SV312
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX1
                          = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1
                      = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1
                  = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1
                    = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1
                      = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[344]) ).

thf(433,plain,
    ! [SV5: a > $o,SV312: a > a > a > a > $o,SV311: a > a > a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( SV211
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX1
                          = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1
                      = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
          | ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1
                      = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $true )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1
                  = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV311
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX1
                          = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1
                      = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
            @ ( SV312
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX1
                          = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1
                      = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1
                  = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1
                    = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1
                      = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[345]) ).

thf(434,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX0 = t ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = t ) ) ) )
          | ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = t ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = t ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = t ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = t ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = t ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[346]) ).

thf(435,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( SV211
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX0 = t ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = t ) ) ) )
          | ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = t ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = t ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = t ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = t ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = t ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[347]) ).

thf(436,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX1 = t ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = t ) ) ) )
          | ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = t ) ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = t ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = t ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[348]) ).

thf(437,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( SV211
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX1 = t ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = t ) ) ) )
          | ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = t ) ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = t ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = t ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[349]) ).

thf(438,plain,
    ! [SV5: a > $o,SV278: a > a > a > a > $o,SV277: a > a > a > $o,SV211: a > a > $o] :
      ( ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                        = t ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                    = t ) ) ) )
          | ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                    = t ) ) ) ) )
        = $true )
      | ( ( ( sK23_E
            @ ( SV277
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                          = t ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                      = t ) ) ) )
            @ ( SV278
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                          = t ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                      = t ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                  = t ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                    = t ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                      = t ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[350]) ).

thf(439,plain,
    ! [SV5: a > $o,SV278: a > a > a > a > $o,SV277: a > a > a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( SV211
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                          = t ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                      = t ) ) ) )
          | ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                      = t ) ) ) ) )
        = $true )
      | ( ( ( sK23_E
            @ ( SV277
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                          = t ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                      = t ) ) ) )
            @ ( SV278
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                          = t ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                      = t ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                  = t ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                    = t ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                      = t ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[351]) ).

thf(440,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX0 = SX0 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX0 ) ) ) )
          | ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX0 ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[352]) ).

thf(441,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( SV211
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX0 = SX0 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) )
          | ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[353]) ).

thf(442,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX1 = SX0 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX0 ) ) ) )
          | ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX0 ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX0 ) ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[354]) ).

thf(443,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( SV211
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX1 = SX0 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX0 ) ) ) )
          | ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX0 ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX0 ) ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[355]) ).

thf(444,plain,
    ! [SV5: a > $o,SV284: a > a > a > a > $o,SV283: a > a > a > $o,SV211: a > a > $o] :
      ( ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                        = SX0 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                    = SX0 ) ) ) )
          | ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                    = SX0 ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                      = SX0 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV283
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                          = SX0 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                      = SX0 ) ) ) )
            @ ( SV284
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                          = SX0 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                      = SX0 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                  = SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                    = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                      = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[356]) ).

thf(445,plain,
    ! [SV5: a > $o,SV284: a > a > a > a > $o,SV283: a > a > a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( SV211
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                          = SX0 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                      = SX0 ) ) ) )
          | ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                      = SX0 ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                      = SX0 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV283
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                          = SX0 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                      = SX0 ) ) ) )
            @ ( SV284
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                          = SX0 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                      = SX0 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                  = SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                    = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                      = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[357]) ).

thf(446,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX0 = SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX1 ) ) ) )
          | ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX1 ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[358]) ).

thf(447,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( SV211
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX0 = SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX1 ) ) ) )
          | ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX1 ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[359]) ).

thf(448,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( SX1 = SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX1 ) ) ) )
          | ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX1 ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[360]) ).

thf(449,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( SV211
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX1 = SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX1 ) ) ) )
          | ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX1 ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[361]) ).

thf(450,plain,
    ! [SV5: a > $o,SV290: a > a > a > a > $o,SV289: a > a > a > $o,SV211: a > a > $o] :
      ( ( ( ( SV211
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                        = SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                    = SX1 ) ) ) )
          | ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                    = SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                  = SX1 ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV289
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                          = SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                      = SX1 ) ) ) )
            @ ( SV290
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                          = SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                      = SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                  = SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                    = SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                      = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[362]) ).

thf(451,plain,
    ! [SV5: a > $o,SV290: a > a > a > a > $o,SV289: a > a > a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( SV211
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                          = SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                      = SX1 ) ) ) )
          | ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                      = SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                  = SX1 ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV289
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                          = SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                      = SX1 ) ) ) )
            @ ( SV290
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                          = SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                      = SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                  = SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                    = SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                      = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[363]) ).

thf(452,plain,
    ! [SV5: a > $o,SV218: a > a > a,SV217: a > a > a,SV212: a > a > $o] :
      ( ( ( ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV217 @ SX0 @ SX1 )
                        = ( SV218 @ SX0 @ SX1 ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          | ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( t
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV217 @ SX0 @ SX1 )
                  = ( SV218 @ SX0 @ SX1 ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( SV217
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV217 @ SX0 @ SX1 )
                        = ( SV218 @ SX0 @ SX1 ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV218
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV217 @ SX0 @ SX1 )
                        = ( SV218 @ SX0 @ SX1 ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( SV217 @ SX0 @ SX1 )
                      = ( SV218 @ SX0 @ SX1 ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[364]) ).

thf(453,plain,
    ! [SV5: a > $o,SV218: a > a > a,SV217: a > a > a,SV212: a > a > $o] :
      ( ( ( ~ ( SV212
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( SV217 @ SX0 @ SX1 )
                          = ( SV218 @ SX0 @ SX1 ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( SV217 @ SX0 @ SX1 )
                      = ( SV218 @ SX0 @ SX1 ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          | ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( SV217 @ SX0 @ SX1 )
                      = ( SV218 @ SX0 @ SX1 ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( t
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV217 @ SX0 @ SX1 )
                  = ( SV218 @ SX0 @ SX1 ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( SV217
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV217 @ SX0 @ SX1 )
                        = ( SV218 @ SX0 @ SX1 ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV218
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV217 @ SX0 @ SX1 )
                        = ( SV218 @ SX0 @ SX1 ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( SV217 @ SX0 @ SX1 )
                      = ( SV218 @ SX0 @ SX1 ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[365]) ).

thf(454,plain,
    ! [SV5: a > $o,SV218: a > a > a,SV217: a > a > a,SV212: a > a > $o] :
      ( ( ( ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV217 @ SX0 @ SX1 )
                        = ( SV218 @ SX0 @ SX1 ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          | ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( t
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV217 @ SX0 @ SX1 )
                  = ( SV218 @ SX0 @ SX1 ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ( SV217
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV217 @ SX0 @ SX1 )
                        = ( SV218 @ SX0 @ SX1 ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV218
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV217 @ SX0 @ SX1 )
                        = ( SV218 @ SX0 @ SX1 ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( SV217 @ SX0 @ SX1 )
                      = ( SV218 @ SX0 @ SX1 ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[366]) ).

thf(455,plain,
    ! [SV5: a > $o,SV218: a > a > a,SV217: a > a > a,SV212: a > a > $o] :
      ( ( ( ~ ( SV212
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( SV217 @ SX0 @ SX1 )
                          = ( SV218 @ SX0 @ SX1 ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( SV217 @ SX0 @ SX1 )
                      = ( SV218 @ SX0 @ SX1 ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          | ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( SV217 @ SX0 @ SX1 )
                      = ( SV218 @ SX0 @ SX1 ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( t
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV217 @ SX0 @ SX1 )
                  = ( SV218 @ SX0 @ SX1 ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ( SV217
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV217 @ SX0 @ SX1 )
                        = ( SV218 @ SX0 @ SX1 ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV218
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV217 @ SX0 @ SX1 )
                        = ( SV218 @ SX0 @ SX1 ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( SV217 @ SX0 @ SX1 )
                      = ( SV218 @ SX0 @ SX1 ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[367]) ).

thf(456,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( t = SX0 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( t = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          | ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( t = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( t = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( t = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( t = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( t = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[368]) ).

thf(457,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( SV212
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( t = SX0 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( t = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          | ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( t = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( t = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( t = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( t = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( t = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[369]) ).

thf(458,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( t = SX1 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( t = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          | ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( t = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( t = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( t = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[370]) ).

thf(459,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( SV212
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( t = SX1 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( t = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          | ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( t = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( t = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( t = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[371]) ).

thf(460,plain,
    ! [SV5: a > $o,SV250: a > a > a > a > $o,SV249: a > a > a > $o,SV212: a > a > $o] :
      ( ( ( ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( t
                        = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( t
                    = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          | ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( t
                    = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK23_E
            @ ( SV249
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( t
                          = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( t
                      = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV250
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( t
                          = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( t
                      = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( t
                  = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( t
                    = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( t
                      = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[372]) ).

thf(461,plain,
    ! [SV5: a > $o,SV250: a > a > a > a > $o,SV249: a > a > a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( SV212
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( t
                          = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( t
                      = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          | ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( t
                      = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK23_E
            @ ( SV249
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( t
                          = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( t
                      = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV250
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( t
                          = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( t
                      = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( t
                  = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( t
                    = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( t
                      = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[373]) ).

thf(462,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SX0 = SX0 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX0 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          | ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX0 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[374]) ).

thf(463,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( SV212
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX0 = SX0 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          | ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[375]) ).

thf(464,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SX0 = SX1 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX0 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          | ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX0 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[376]) ).

thf(465,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( SV212
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX0 = SX1 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX0 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          | ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX0 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[377]) ).

thf(466,plain,
    ! [SV5: a > $o,SV256: a > a > a > a > $o,SV255: a > a > a > $o,SV212: a > a > $o] :
      ( ( ( ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SX0
                        = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX0
                    = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          | ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX0
                    = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0
                      = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV255
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX0
                          = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX0
                      = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV256
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX0
                          = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX0
                      = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0
                  = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0
                    = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0
                      = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[378]) ).

thf(467,plain,
    ! [SV5: a > $o,SV256: a > a > a > a > $o,SV255: a > a > a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( SV212
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX0
                          = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX0
                      = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          | ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX0
                      = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0
                      = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV255
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX0
                          = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX0
                      = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV256
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX0
                          = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX0
                      = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0
                  = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0
                    = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0
                      = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[379]) ).

thf(468,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SX1 = SX0 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX1 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          | ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX1 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[380]) ).

thf(469,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( SV212
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX1 = SX0 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX1 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          | ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX1 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[381]) ).

thf(470,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SX1 = SX1 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX1 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          | ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX1 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[382]) ).

thf(471,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( SV212
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX1 = SX1 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX1 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          | ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX1 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[383]) ).

thf(472,plain,
    ! [SV5: a > $o,SV262: a > a > a > a > $o,SV261: a > a > a > $o,SV212: a > a > $o] :
      ( ( ( ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SX1
                        = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX1
                    = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          | ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX1
                    = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1
                  = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV261
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX1
                          = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX1
                      = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV262
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX1
                          = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX1
                      = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1
                  = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1
                    = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1
                      = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[384]) ).

thf(473,plain,
    ! [SV5: a > $o,SV262: a > a > a > a > $o,SV261: a > a > a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( SV212
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX1
                          = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX1
                      = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          | ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX1
                      = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1
                  = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV261
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX1
                          = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX1
                      = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV262
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX1
                          = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX1
                      = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1
                  = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1
                    = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1
                      = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[385]) ).

thf(474,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SX0 = t )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX0 = t )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          | ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX0 = t )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = t )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0 = t )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[386]) ).

thf(475,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( SV212
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX0 = t )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX0 = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          | ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX0 = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = t )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0 = t )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[387]) ).

thf(476,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SX1 = t )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX1 = t )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          | ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX1 = t )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1 = t )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[388]) ).

thf(477,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( SV212
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX1 = t )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX1 = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          | ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX1 = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1 = t )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[389]) ).

thf(478,plain,
    ! [SV5: a > $o,SV228: a > a > a > a > $o,SV227: a > a > a > $o,SV212: a > a > $o] :
      ( ( ( ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                        = t )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                    = t )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          | ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                    = t )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK23_E
            @ ( SV227
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                          = t )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                      = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV228
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                          = t )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                      = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                  = t )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                    = t )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                      = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[390]) ).

thf(479,plain,
    ! [SV5: a > $o,SV228: a > a > a > a > $o,SV227: a > a > a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( SV212
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                          = t )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                      = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          | ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                      = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK23_E
            @ ( SV227
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                          = t )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                      = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV228
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                          = t )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                      = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                  = t )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                    = t )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                      = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[391]) ).

thf(480,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SX0 = SX0 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX0 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          | ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX0 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[392]) ).

thf(481,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( SV212
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX0 = SX0 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          | ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[393]) ).

thf(482,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SX1 = SX0 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX1 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          | ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX1 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[394]) ).

thf(483,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( SV212
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX1 = SX0 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX1 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          | ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX1 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[395]) ).

thf(484,plain,
    ! [SV5: a > $o,SV234: a > a > a > a > $o,SV233: a > a > a > $o,SV212: a > a > $o] :
      ( ( ( ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                        = SX0 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                    = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          | ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                    = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                      = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV233
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                          = SX0 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                      = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV234
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                          = SX0 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                      = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                  = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                    = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                      = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[396]) ).

thf(485,plain,
    ! [SV5: a > $o,SV234: a > a > a > a > $o,SV233: a > a > a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( SV212
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                          = SX0 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                      = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          | ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                      = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                      = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV233
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                          = SX0 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                      = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV234
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                          = SX0 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                      = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                  = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                    = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                      = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[397]) ).

thf(486,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SX0 = SX1 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX0 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          | ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX0 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[398]) ).

thf(487,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( SV212
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX0 = SX1 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX0 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          | ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX0 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[399]) ).

thf(488,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SX1 = SX1 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX1 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          | ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SX1 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[400]) ).

thf(489,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( SV212
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX1 = SX1 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX1 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          | ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX1 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[401]) ).

thf(490,plain,
    ! [SV5: a > $o,SV240: a > a > a > a > $o,SV239: a > a > a > $o,SV212: a > a > $o] :
      ( ( ( ( SV212
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                        = SX1 )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                    = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          | ( SV5
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                    = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                  = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV239
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                          = SX1 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                      = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV240
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                          = SX1 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                      = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                  = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                    = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                      = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[402]) ).

thf(491,plain,
    ! [SV5: a > $o,SV240: a > a > a > a > $o,SV239: a > a > a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( SV212
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                          = SX1 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                      = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          | ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                      = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                  = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV239
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                          = SX1 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                      = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV240
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                          = SX1 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                      = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                  = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                    = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                      = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[403]) ).

thf(492,plain,
    ! [SV3: a > $o,SV98: a > a > a,SV97: a > a > a,SV85: a > a > $o] :
      ( ( ( SV85
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV85 @ SX0 @ SX1 )
                    | ( ( SV97 @ SX0 @ SX1 )
                      = ( SV98 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( SV85 @ SX0 @ SX1 )
                | ( ( SV97 @ SX0 @ SX1 )
                  = ( SV98 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( SV3
          @ ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( SV85 @ SX0 @ SX1 )
                | ( ( SV97 @ SX0 @ SX1 )
                  = ( SV98 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( t
          = ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( SV85 @ SX0 @ SX1 )
                | ( ( SV97 @ SX0 @ SX1 )
                  = ( SV98 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( SV97
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( ( SV97 @ SX0 @ SX1 )
                        = ( SV98 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) )
          = ( SV98
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( ( SV97 @ SX0 @ SX1 )
                        = ( SV98 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV85 @ SX0 @ SX1 )
                    | ( ( SV97 @ SX0 @ SX1 )
                      = ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV3 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[404]) ).

thf(493,plain,
    ! [SV3: a > $o,SV98: a > a > a,SV97: a > a > a,SV85: a > a > $o] :
      ( ( ( ~ ( SV85
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV85 @ SX0 @ SX1 )
                        | ( ( SV97 @ SX0 @ SX1 )
                          = ( SV98 @ SX0 @ SX1 ) ) ) ) )
              @ ( sK21_E @ t @ SV3
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV85 @ SX0 @ SX1 )
                    | ( ( SV97 @ SX0 @ SX1 )
                      = ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( SV3
              @ ( sK21_E @ t @ SV3
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV85 @ SX0 @ SX1 )
                    | ( ( SV97 @ SX0 @ SX1 )
                      = ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
        = $true )
      | ( ( t
          = ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( SV85 @ SX0 @ SX1 )
                | ( ( SV97 @ SX0 @ SX1 )
                  = ( SV98 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( SV97
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( ( SV97 @ SX0 @ SX1 )
                        = ( SV98 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) )
          = ( SV98
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( ( SV97 @ SX0 @ SX1 )
                        = ( SV98 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV85 @ SX0 @ SX1 )
                    | ( ( SV97 @ SX0 @ SX1 )
                      = ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV3 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[405]) ).

thf(494,plain,
    ! [SV3: a > $o,SV98: a > a > a,SV97: a > a > a,SV85: a > a > $o] :
      ( ( ( SV85
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV85 @ SX0 @ SX1 )
                    | ( ( SV97 @ SX0 @ SX1 )
                      = ( SV98 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( SV85 @ SX0 @ SX1 )
                | ( ( SV97 @ SX0 @ SX1 )
                  = ( SV98 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( SV3
          @ ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( SV85 @ SX0 @ SX1 )
                | ( ( SV97 @ SX0 @ SX1 )
                  = ( SV98 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( t
          = ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( SV85 @ SX0 @ SX1 )
                | ( ( SV97 @ SX0 @ SX1 )
                  = ( SV98 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV97
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( ( SV97 @ SX0 @ SX1 )
                        = ( SV98 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) )
          = ( SV98
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( ( SV97 @ SX0 @ SX1 )
                        = ( SV98 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV85 @ SX0 @ SX1 )
                    | ( ( SV97 @ SX0 @ SX1 )
                      = ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV3 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[406]) ).

thf(495,plain,
    ! [SV3: a > $o,SV98: a > a > a,SV97: a > a > a,SV85: a > a > $o] :
      ( ( ( ~ ( SV85
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV85 @ SX0 @ SX1 )
                        | ( ( SV97 @ SX0 @ SX1 )
                          = ( SV98 @ SX0 @ SX1 ) ) ) ) )
              @ ( sK21_E @ t @ SV3
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV85 @ SX0 @ SX1 )
                    | ( ( SV97 @ SX0 @ SX1 )
                      = ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( SV3
              @ ( sK21_E @ t @ SV3
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV85 @ SX0 @ SX1 )
                    | ( ( SV97 @ SX0 @ SX1 )
                      = ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
        = $true )
      | ( ( t
          = ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( SV85 @ SX0 @ SX1 )
                | ( ( SV97 @ SX0 @ SX1 )
                  = ( SV98 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV97
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( ( SV97 @ SX0 @ SX1 )
                        = ( SV98 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) )
          = ( SV98
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( ( SV97 @ SX0 @ SX1 )
                        = ( SV98 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV85 @ SX0 @ SX1 )
                    | ( ( SV97 @ SX0 @ SX1 )
                      = ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV3 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[407]) ).

thf(496,plain,
    ! [SV3: a > $o,SV92: a > a > a,SV91: a > a > a,SV86: a > a > $o] :
      ( ( ( SV86
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( SV91 @ SX0 @ SX1 )
                      = ( SV92 @ SX0 @ SX1 ) )
                    | ( SV86 @ SX0 @ SX1 ) ) ) )
          @ ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV91 @ SX0 @ SX1 )
                  = ( SV92 @ SX0 @ SX1 ) )
                | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( SV3
          @ ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV91 @ SX0 @ SX1 )
                  = ( SV92 @ SX0 @ SX1 ) )
                | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( t
          = ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV91 @ SX0 @ SX1 )
                  = ( SV92 @ SX0 @ SX1 ) )
                | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( SV91
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV91 @ SX0 @ SX1 )
                        = ( SV92 @ SX0 @ SX1 ) )
                      | ( SV86 @ SX0 @ SX1 ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
          = ( SV92
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV91 @ SX0 @ SX1 )
                        = ( SV92 @ SX0 @ SX1 ) )
                      | ( SV86 @ SX0 @ SX1 ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( SV91 @ SX0 @ SX1 )
                      = ( SV92 @ SX0 @ SX1 ) )
                    | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV3 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[408]) ).

thf(497,plain,
    ! [SV3: a > $o,SV92: a > a > a,SV91: a > a > a,SV86: a > a > $o] :
      ( ( ( ~ ( SV86
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( SV91 @ SX0 @ SX1 )
                          = ( SV92 @ SX0 @ SX1 ) )
                        | ( SV86 @ SX0 @ SX1 ) ) ) )
              @ ( sK21_E @ t @ SV3
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( SV91 @ SX0 @ SX1 )
                      = ( SV92 @ SX0 @ SX1 ) )
                    | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ~ ( SV3
              @ ( sK21_E @ t @ SV3
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( SV91 @ SX0 @ SX1 )
                      = ( SV92 @ SX0 @ SX1 ) )
                    | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( t
          = ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV91 @ SX0 @ SX1 )
                  = ( SV92 @ SX0 @ SX1 ) )
                | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( SV91
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV91 @ SX0 @ SX1 )
                        = ( SV92 @ SX0 @ SX1 ) )
                      | ( SV86 @ SX0 @ SX1 ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
          = ( SV92
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV91 @ SX0 @ SX1 )
                        = ( SV92 @ SX0 @ SX1 ) )
                      | ( SV86 @ SX0 @ SX1 ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( SV91 @ SX0 @ SX1 )
                      = ( SV92 @ SX0 @ SX1 ) )
                    | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV3 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[409]) ).

thf(498,plain,
    ! [SV3: a > $o,SV92: a > a > a,SV91: a > a > a,SV86: a > a > $o] :
      ( ( ( SV86
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( SV91 @ SX0 @ SX1 )
                      = ( SV92 @ SX0 @ SX1 ) )
                    | ( SV86 @ SX0 @ SX1 ) ) ) )
          @ ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV91 @ SX0 @ SX1 )
                  = ( SV92 @ SX0 @ SX1 ) )
                | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( SV3
          @ ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV91 @ SX0 @ SX1 )
                  = ( SV92 @ SX0 @ SX1 ) )
                | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( t
          = ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV91 @ SX0 @ SX1 )
                  = ( SV92 @ SX0 @ SX1 ) )
                | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ( SV91
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV91 @ SX0 @ SX1 )
                        = ( SV92 @ SX0 @ SX1 ) )
                      | ( SV86 @ SX0 @ SX1 ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
          = ( SV92
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV91 @ SX0 @ SX1 )
                        = ( SV92 @ SX0 @ SX1 ) )
                      | ( SV86 @ SX0 @ SX1 ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( SV91 @ SX0 @ SX1 )
                      = ( SV92 @ SX0 @ SX1 ) )
                    | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV3 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[410]) ).

thf(499,plain,
    ! [SV3: a > $o,SV92: a > a > a,SV91: a > a > a,SV86: a > a > $o] :
      ( ( ( ~ ( SV86
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( SV91 @ SX0 @ SX1 )
                          = ( SV92 @ SX0 @ SX1 ) )
                        | ( SV86 @ SX0 @ SX1 ) ) ) )
              @ ( sK21_E @ t @ SV3
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( SV91 @ SX0 @ SX1 )
                      = ( SV92 @ SX0 @ SX1 ) )
                    | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ~ ( SV3
              @ ( sK21_E @ t @ SV3
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( SV91 @ SX0 @ SX1 )
                      = ( SV92 @ SX0 @ SX1 ) )
                    | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( t
          = ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV91 @ SX0 @ SX1 )
                  = ( SV92 @ SX0 @ SX1 ) )
                | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ( SV91
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV91 @ SX0 @ SX1 )
                        = ( SV92 @ SX0 @ SX1 ) )
                      | ( SV86 @ SX0 @ SX1 ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
          = ( SV92
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV91 @ SX0 @ SX1 )
                        = ( SV92 @ SX0 @ SX1 ) )
                      | ( SV86 @ SX0 @ SX1 ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( SV91 @ SX0 @ SX1 )
                      = ( SV92 @ SX0 @ SX1 ) )
                    | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV3 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[411]) ).

thf(500,plain,
    ! [SV5: a > $o,SV268: a > a > a,SV267: a > a > a,SV211: a > a > $o] :
      ( ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( SV267 @ SX0 @ SX1 )
                      = ( SV268 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( SV267 @ SX0 @ SX1 )
                  = ( SV268 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( SV267 @ SX0 @ SX1 )
                  = ( SV268 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( t
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( SV267 @ SX0 @ SX1 )
                  = ( SV268 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( SV267
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( SV267 @ SX0 @ SX1 )
                        = ( SV268 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) )
          = ( SV268
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( SV267 @ SX0 @ SX1 )
                        = ( SV268 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( SV267 @ SX0 @ SX1 )
                      = ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[412]) ).

thf(501,plain,
    ! [SV5: a > $o,SV268: a > a > a,SV267: a > a > a,SV211: a > a > $o] :
      ( ( ( ~ ( SV211
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( SV267 @ SX0 @ SX1 )
                          = ( SV268 @ SX0 @ SX1 ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( SV267 @ SX0 @ SX1 )
                      = ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( SV267 @ SX0 @ SX1 )
                      = ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
        = $true )
      | ( ( t
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( SV267 @ SX0 @ SX1 )
                  = ( SV268 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( SV267
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( SV267 @ SX0 @ SX1 )
                        = ( SV268 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) )
          = ( SV268
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( SV267 @ SX0 @ SX1 )
                        = ( SV268 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( SV267 @ SX0 @ SX1 )
                      = ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[413]) ).

thf(502,plain,
    ! [SV5: a > $o,SV268: a > a > a,SV267: a > a > a,SV211: a > a > $o] :
      ( ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( SV267 @ SX0 @ SX1 )
                      = ( SV268 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( SV267 @ SX0 @ SX1 )
                  = ( SV268 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( SV267 @ SX0 @ SX1 )
                  = ( SV268 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( t
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( SV267 @ SX0 @ SX1 )
                  = ( SV268 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV267
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( SV267 @ SX0 @ SX1 )
                        = ( SV268 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) )
          = ( SV268
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( SV267 @ SX0 @ SX1 )
                        = ( SV268 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( SV267 @ SX0 @ SX1 )
                      = ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[414]) ).

thf(503,plain,
    ! [SV5: a > $o,SV268: a > a > a,SV267: a > a > a,SV211: a > a > $o] :
      ( ( ( ~ ( SV211
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( SV267 @ SX0 @ SX1 )
                          = ( SV268 @ SX0 @ SX1 ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( SV267 @ SX0 @ SX1 )
                      = ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( SV267 @ SX0 @ SX1 )
                      = ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
        = $true )
      | ( ( t
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( SV267 @ SX0 @ SX1 )
                  = ( SV268 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV267
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( SV267 @ SX0 @ SX1 )
                        = ( SV268 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) )
          = ( SV268
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( SV267 @ SX0 @ SX1 )
                        = ( SV268 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( SV267 @ SX0 @ SX1 )
                      = ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[415]) ).

thf(504,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t = SX0 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( t = SX0 ) ) ) )
        = $true )
      | ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( t = SX0 ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t = SX0 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( t = SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( t = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[416]) ).

thf(505,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( SV211
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( t = SX0 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t = SX0 ) ) ) ) )
        = $true )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t = SX0 ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t = SX0 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( t = SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( t = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[417]) ).

thf(506,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t = SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( t = SX1 ) ) ) )
        = $true )
      | ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( t = SX1 ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( t = SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[418]) ).

thf(507,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( SV211
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( t = SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t = SX1 ) ) ) ) )
        = $true )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t = SX1 ) ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( t = SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[419]) ).

thf(508,plain,
    ! [SV5: a > $o,SV300: a > a > a > a > $o,SV299: a > a > a > $o,SV211: a > a > $o] :
      ( ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t
                      = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( t
                  = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
        = $true )
      | ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( t
                  = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
        = $true )
      | ( ( ( sK23_E
            @ ( SV299
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( t
                          = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t
                      = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
            @ ( SV300
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( t
                          = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t
                      = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( t
                  = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( t
                    = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t
                      = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[420]) ).

thf(509,plain,
    ! [SV5: a > $o,SV300: a > a > a > a > $o,SV299: a > a > a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( SV211
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( t
                          = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t
                      = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $true )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t
                      = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $true )
      | ( ( ( sK23_E
            @ ( SV299
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( t
                          = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t
                      = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
            @ ( SV300
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( t
                          = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t
                      = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( t
                  = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( t
                    = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t
                      = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[421]) ).

thf(510,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX0 ) ) ) )
        = $true )
      | ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX0 ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[422]) ).

thf(511,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( SV211
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX0 = SX0 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) ) )
        = $true )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[423]) ).

thf(512,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX1 ) ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[424]) ).

thf(513,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( SV211
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX0 = SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX1 ) ) ) ) )
        = $true )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX1 ) ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[425]) ).

thf(514,plain,
    ! [SV5: a > $o,SV306: a > a > a > a > $o,SV305: a > a > a > $o,SV211: a > a > $o] :
      ( ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0
                      = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0
                  = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
        = $true )
      | ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0
                  = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0
                      = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV305
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX0
                          = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0
                      = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
            @ ( SV306
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX0
                          = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0
                      = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0
                  = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0
                    = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0
                      = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[426]) ).

thf(515,plain,
    ! [SV5: a > $o,SV306: a > a > a > a > $o,SV305: a > a > a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( SV211
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX0
                          = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0
                      = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $true )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0
                      = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0
                      = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV305
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX0
                          = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0
                      = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
            @ ( SV306
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX0
                          = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0
                      = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0
                  = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0
                    = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0
                      = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[427]) ).

thf(516,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX0 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX0 ) ) ) )
        = $true )
      | ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX0 ) ) ) )
        = $true )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX0 ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX0 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[428]) ).

thf(517,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( SV211
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX1 = SX0 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX0 ) ) ) ) )
        = $true )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX0 ) ) ) ) )
        = $true )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX0 ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX0 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[429]) ).

thf(518,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX1 ) ) ) )
        = $true )
      | ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX1 ) ) ) )
        = $true )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX1 ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[430]) ).

thf(519,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( SV211
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX1 = SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX1 ) ) ) ) )
        = $true )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX1 ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[431]) ).

thf(520,plain,
    ! [SV5: a > $o,SV312: a > a > a > a > $o,SV311: a > a > a > $o,SV211: a > a > $o] :
      ( ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1
                      = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1
                  = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
        = $true )
      | ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1
                  = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
        = $true )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1
                  = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV311
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX1
                          = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1
                      = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
            @ ( SV312
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX1
                          = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1
                      = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1
                  = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1
                    = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1
                      = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[432]) ).

thf(521,plain,
    ! [SV5: a > $o,SV312: a > a > a > a > $o,SV311: a > a > a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( SV211
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX1
                          = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1
                      = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $true )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1
                      = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $true )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1
                  = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV311
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX1
                          = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1
                      = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
            @ ( SV312
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX1
                          = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1
                      = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1
                  = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1
                    = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1
                      = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[433]) ).

thf(522,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = t ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = t ) ) ) )
        = $true )
      | ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = t ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = t ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = t ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = t ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = t ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[434]) ).

thf(523,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( SV211
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX0 = t ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = t ) ) ) ) )
        = $true )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = t ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = t ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = t ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = t ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = t ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[435]) ).

thf(524,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = t ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = t ) ) ) )
        = $true )
      | ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = t ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = t ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = t ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[436]) ).

thf(525,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( SV211
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX1 = t ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = t ) ) ) ) )
        = $true )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = t ) ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = t ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = t ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[437]) ).

thf(526,plain,
    ! [SV5: a > $o,SV278: a > a > a > a > $o,SV277: a > a > a > $o,SV211: a > a > $o] :
      ( ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                      = t ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                  = t ) ) ) )
        = $true )
      | ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                  = t ) ) ) )
        = $true )
      | ( ( ( sK23_E
            @ ( SV277
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                          = t ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                      = t ) ) ) )
            @ ( SV278
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                          = t ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                      = t ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                  = t ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                    = t ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                      = t ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[438]) ).

thf(527,plain,
    ! [SV5: a > $o,SV278: a > a > a > a > $o,SV277: a > a > a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( SV211
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                          = t ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                      = t ) ) ) ) )
        = $true )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                      = t ) ) ) ) )
        = $true )
      | ( ( ( sK23_E
            @ ( SV277
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                          = t ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                      = t ) ) ) )
            @ ( SV278
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                          = t ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                      = t ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                  = t ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                    = t ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                      = t ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[439]) ).

thf(528,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX0 ) ) ) )
        = $true )
      | ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX0 ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[440]) ).

thf(529,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( SV211
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX0 = SX0 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) ) )
        = $true )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[441]) ).

thf(530,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX0 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX0 ) ) ) )
        = $true )
      | ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX0 ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX0 ) ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[442]) ).

thf(531,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( SV211
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX1 = SX0 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX0 ) ) ) ) )
        = $true )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX0 ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX0 ) ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[443]) ).

thf(532,plain,
    ! [SV5: a > $o,SV284: a > a > a > a > $o,SV283: a > a > a > $o,SV211: a > a > $o] :
      ( ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                      = SX0 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                  = SX0 ) ) ) )
        = $true )
      | ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                  = SX0 ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                      = SX0 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV283
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                          = SX0 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                      = SX0 ) ) ) )
            @ ( SV284
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                          = SX0 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                      = SX0 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                  = SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                    = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                      = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[444]) ).

thf(533,plain,
    ! [SV5: a > $o,SV284: a > a > a > a > $o,SV283: a > a > a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( SV211
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                          = SX0 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                      = SX0 ) ) ) ) )
        = $true )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                      = SX0 ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                      = SX0 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV283
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                          = SX0 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                      = SX0 ) ) ) )
            @ ( SV284
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                          = SX0 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                      = SX0 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                  = SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                    = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                      = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[445]) ).

thf(534,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX1 ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[446]) ).

thf(535,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( SV211
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX0 = SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX1 ) ) ) ) )
        = $true )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX1 ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[447]) ).

thf(536,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX1 ) ) ) )
        = $true )
      | ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX1 ) ) ) )
        = $true )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX1 ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[448]) ).

thf(537,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( SV211
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX1 = SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX1 ) ) ) ) )
        = $true )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX1 ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[449]) ).

thf(538,plain,
    ! [SV5: a > $o,SV290: a > a > a > a > $o,SV289: a > a > a > $o,SV211: a > a > $o] :
      ( ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                      = SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                  = SX1 ) ) ) )
        = $true )
      | ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                  = SX1 ) ) ) )
        = $true )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                  = SX1 ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV289
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                          = SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                      = SX1 ) ) ) )
            @ ( SV290
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                          = SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                      = SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                  = SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                    = SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                      = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[450]) ).

thf(539,plain,
    ! [SV5: a > $o,SV290: a > a > a > a > $o,SV289: a > a > a > $o,SV211: a > a > $o] :
      ( ( ( ~ ( SV211
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                          = SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                      = SX1 ) ) ) ) )
        = $true )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                      = SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                  = SX1 ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV289
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                          = SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                      = SX1 ) ) ) )
            @ ( SV290
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                          = SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                      = SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                  = SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                    = SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                      = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[451]) ).

thf(540,plain,
    ! [SV5: a > $o,SV218: a > a > a,SV217: a > a > a,SV212: a > a > $o] :
      ( ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( SV217 @ SX0 @ SX1 )
                      = ( SV218 @ SX0 @ SX1 ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV217 @ SX0 @ SX1 )
                  = ( SV218 @ SX0 @ SX1 ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV217 @ SX0 @ SX1 )
                  = ( SV218 @ SX0 @ SX1 ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( t
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV217 @ SX0 @ SX1 )
                  = ( SV218 @ SX0 @ SX1 ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( SV217
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV217 @ SX0 @ SX1 )
                        = ( SV218 @ SX0 @ SX1 ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV218
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV217 @ SX0 @ SX1 )
                        = ( SV218 @ SX0 @ SX1 ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( SV217 @ SX0 @ SX1 )
                      = ( SV218 @ SX0 @ SX1 ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[452]) ).

thf(541,plain,
    ! [SV5: a > $o,SV218: a > a > a,SV217: a > a > a,SV212: a > a > $o] :
      ( ( ( ~ ( SV212
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( SV217 @ SX0 @ SX1 )
                          = ( SV218 @ SX0 @ SX1 ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( SV217 @ SX0 @ SX1 )
                      = ( SV218 @ SX0 @ SX1 ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( SV217 @ SX0 @ SX1 )
                      = ( SV218 @ SX0 @ SX1 ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( t
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV217 @ SX0 @ SX1 )
                  = ( SV218 @ SX0 @ SX1 ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( SV217
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV217 @ SX0 @ SX1 )
                        = ( SV218 @ SX0 @ SX1 ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV218
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV217 @ SX0 @ SX1 )
                        = ( SV218 @ SX0 @ SX1 ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( SV217 @ SX0 @ SX1 )
                      = ( SV218 @ SX0 @ SX1 ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[453]) ).

thf(542,plain,
    ! [SV5: a > $o,SV218: a > a > a,SV217: a > a > a,SV212: a > a > $o] :
      ( ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( SV217 @ SX0 @ SX1 )
                      = ( SV218 @ SX0 @ SX1 ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV217 @ SX0 @ SX1 )
                  = ( SV218 @ SX0 @ SX1 ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV217 @ SX0 @ SX1 )
                  = ( SV218 @ SX0 @ SX1 ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( t
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV217 @ SX0 @ SX1 )
                  = ( SV218 @ SX0 @ SX1 ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ( SV217
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV217 @ SX0 @ SX1 )
                        = ( SV218 @ SX0 @ SX1 ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV218
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV217 @ SX0 @ SX1 )
                        = ( SV218 @ SX0 @ SX1 ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( SV217 @ SX0 @ SX1 )
                      = ( SV218 @ SX0 @ SX1 ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[454]) ).

thf(543,plain,
    ! [SV5: a > $o,SV218: a > a > a,SV217: a > a > a,SV212: a > a > $o] :
      ( ( ( ~ ( SV212
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( SV217 @ SX0 @ SX1 )
                          = ( SV218 @ SX0 @ SX1 ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( SV217 @ SX0 @ SX1 )
                      = ( SV218 @ SX0 @ SX1 ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( SV217 @ SX0 @ SX1 )
                      = ( SV218 @ SX0 @ SX1 ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( t
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV217 @ SX0 @ SX1 )
                  = ( SV218 @ SX0 @ SX1 ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ( SV217
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV217 @ SX0 @ SX1 )
                        = ( SV218 @ SX0 @ SX1 ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV218
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV217 @ SX0 @ SX1 )
                        = ( SV218 @ SX0 @ SX1 ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( SV217 @ SX0 @ SX1 )
                      = ( SV218 @ SX0 @ SX1 ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[455]) ).

thf(544,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( t = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( t = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( t = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( t = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( t = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( t = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( t = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[456]) ).

thf(545,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( SV212
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( t = SX0 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( t = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( t = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( t = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( t = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( t = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( t = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[457]) ).

thf(546,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( t = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( t = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( t = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( t = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( t = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[458]) ).

thf(547,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( SV212
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( t = SX1 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( t = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( t = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( t = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( t = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[459]) ).

thf(548,plain,
    ! [SV5: a > $o,SV250: a > a > a > a > $o,SV249: a > a > a > $o,SV212: a > a > $o] :
      ( ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( t
                      = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( t
                  = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( t
                  = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ( sK23_E
            @ ( SV249
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( t
                          = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( t
                      = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV250
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( t
                          = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( t
                      = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( t
                  = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( t
                    = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( t
                      = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[460]) ).

thf(549,plain,
    ! [SV5: a > $o,SV250: a > a > a > a > $o,SV249: a > a > a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( SV212
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( t
                          = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( t
                      = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( t
                      = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK23_E
            @ ( SV249
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( t
                          = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( t
                      = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV250
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( t
                          = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( t
                      = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( t
                  = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( t
                    = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( t
                      = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[461]) ).

thf(550,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[462]) ).

thf(551,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( SV212
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX0 = SX0 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[463]) ).

thf(552,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[464]) ).

thf(553,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( SV212
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX0 = SX1 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX0 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX0 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[465]) ).

thf(554,plain,
    ! [SV5: a > $o,SV256: a > a > a > a > $o,SV255: a > a > a > $o,SV212: a > a > $o] :
      ( ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0
                      = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0
                  = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0
                  = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0
                      = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV255
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX0
                          = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX0
                      = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV256
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX0
                          = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX0
                      = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0
                  = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0
                    = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0
                      = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[466]) ).

thf(555,plain,
    ! [SV5: a > $o,SV256: a > a > a > a > $o,SV255: a > a > a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( SV212
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX0
                          = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX0
                      = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX0
                      = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0
                      = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV255
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX0
                          = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX0
                      = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV256
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX0
                          = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX0
                      = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0
                  = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0
                    = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0
                      = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[467]) ).

thf(556,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[468]) ).

thf(557,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( SV212
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX1 = SX0 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX1 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX1 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[469]) ).

thf(558,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[470]) ).

thf(559,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( SV212
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX1 = SX1 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX1 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX1 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[471]) ).

thf(560,plain,
    ! [SV5: a > $o,SV262: a > a > a > a > $o,SV261: a > a > a > $o,SV212: a > a > $o] :
      ( ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1
                      = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1
                  = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1
                  = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1
                  = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV261
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX1
                          = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX1
                      = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV262
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX1
                          = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX1
                      = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1
                  = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1
                    = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1
                      = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[472]) ).

thf(561,plain,
    ! [SV5: a > $o,SV262: a > a > a > a > $o,SV261: a > a > a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( SV212
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX1
                          = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX1
                      = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX1
                      = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1
                  = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV261
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX1
                          = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX1
                      = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV262
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX1
                          = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX1
                      = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1
                  = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1
                    = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1
                      = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[473]) ).

thf(562,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = t )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = t )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = t )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0 = t )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[474]) ).

thf(563,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( SV212
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX0 = t )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX0 = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX0 = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = t )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0 = t )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[475]) ).

thf(564,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = t )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = t )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1 = t )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[476]) ).

thf(565,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( SV212
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX1 = t )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX1 = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX1 = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1 = t )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[477]) ).

thf(566,plain,
    ! [SV5: a > $o,SV228: a > a > a > a > $o,SV227: a > a > a > $o,SV212: a > a > $o] :
      ( ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                      = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                  = t )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                  = t )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ( sK23_E
            @ ( SV227
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                          = t )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                      = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV228
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                          = t )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                      = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                  = t )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                    = t )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                      = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[478]) ).

thf(567,plain,
    ! [SV5: a > $o,SV228: a > a > a > a > $o,SV227: a > a > a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( SV212
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                          = t )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                      = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                      = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK23_E
            @ ( SV227
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                          = t )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                      = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV228
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                          = t )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                      = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                  = t )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                    = t )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                      = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[479]) ).

thf(568,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[480]) ).

thf(569,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( SV212
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX0 = SX0 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[481]) ).

thf(570,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[482]) ).

thf(571,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( SV212
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX1 = SX0 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX1 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX1 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[483]) ).

thf(572,plain,
    ! [SV5: a > $o,SV234: a > a > a > a > $o,SV233: a > a > a > $o,SV212: a > a > $o] :
      ( ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                      = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                  = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                  = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                      = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV233
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                          = SX0 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                      = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV234
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                          = SX0 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                      = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                  = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                    = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                      = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[484]) ).

thf(573,plain,
    ! [SV5: a > $o,SV234: a > a > a > a > $o,SV233: a > a > a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( SV212
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                          = SX0 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                      = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                      = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                      = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV233
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                          = SX0 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                      = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV234
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                          = SX0 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                      = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                  = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                    = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                      = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[485]) ).

thf(574,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[486]) ).

thf(575,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( SV212
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX0 = SX1 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX0 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX0 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[487]) ).

thf(576,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[488]) ).

thf(577,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( SV212
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX1 = SX1 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX1 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX1 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[489]) ).

thf(578,plain,
    ! [SV5: a > $o,SV240: a > a > a > a > $o,SV239: a > a > a > $o,SV212: a > a > $o] :
      ( ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                      = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                  = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                  = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                  = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV239
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                          = SX1 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                      = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV240
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                          = SX1 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                      = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                  = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                    = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                      = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[490]) ).

thf(579,plain,
    ! [SV5: a > $o,SV240: a > a > a > a > $o,SV239: a > a > a > $o,SV212: a > a > $o] :
      ( ( ( ~ ( SV212
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                          = SX1 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                      = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                      = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                  = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV239
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                          = SX1 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                      = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV240
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                          = SX1 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                      = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                  = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                    = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                      = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[491]) ).

thf(580,plain,
    ! [SV3: a > $o,SV98: a > a > a,SV97: a > a > a,SV85: a > a > $o] :
      ( ( ( SV85
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV85 @ SX0 @ SX1 )
                    | ( ( SV97 @ SX0 @ SX1 )
                      = ( SV98 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( SV85 @ SX0 @ SX1 )
                | ( ( SV97 @ SX0 @ SX1 )
                  = ( SV98 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ~ ( SV3
              @ ( sK21_E @ t @ SV3
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV85 @ SX0 @ SX1 )
                    | ( ( SV97 @ SX0 @ SX1 )
                      = ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
        = $true )
      | ( ( t
          = ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( SV85 @ SX0 @ SX1 )
                | ( ( SV97 @ SX0 @ SX1 )
                  = ( SV98 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( SV97
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( ( SV97 @ SX0 @ SX1 )
                        = ( SV98 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) )
          = ( SV98
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( ( SV97 @ SX0 @ SX1 )
                        = ( SV98 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV85 @ SX0 @ SX1 )
                    | ( ( SV97 @ SX0 @ SX1 )
                      = ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV3 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[493]) ).

thf(581,plain,
    ! [SV3: a > $o,SV98: a > a > a,SV97: a > a > a,SV85: a > a > $o] :
      ( ( ( SV85
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV85 @ SX0 @ SX1 )
                    | ( ( SV97 @ SX0 @ SX1 )
                      = ( SV98 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( SV85 @ SX0 @ SX1 )
                | ( ( SV97 @ SX0 @ SX1 )
                  = ( SV98 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ~ ( SV3
              @ ( sK21_E @ t @ SV3
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV85 @ SX0 @ SX1 )
                    | ( ( SV97 @ SX0 @ SX1 )
                      = ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
        = $true )
      | ( ( t
          = ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( SV85 @ SX0 @ SX1 )
                | ( ( SV97 @ SX0 @ SX1 )
                  = ( SV98 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV97
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( ( SV97 @ SX0 @ SX1 )
                        = ( SV98 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) )
          = ( SV98
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( ( SV97 @ SX0 @ SX1 )
                        = ( SV98 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV85 @ SX0 @ SX1 )
                    | ( ( SV97 @ SX0 @ SX1 )
                      = ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV3 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[495]) ).

thf(582,plain,
    ! [SV3: a > $o,SV92: a > a > a,SV91: a > a > a,SV86: a > a > $o] :
      ( ( ( SV86
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( SV91 @ SX0 @ SX1 )
                      = ( SV92 @ SX0 @ SX1 ) )
                    | ( SV86 @ SX0 @ SX1 ) ) ) )
          @ ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV91 @ SX0 @ SX1 )
                  = ( SV92 @ SX0 @ SX1 ) )
                | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ~ ( SV3
              @ ( sK21_E @ t @ SV3
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( SV91 @ SX0 @ SX1 )
                      = ( SV92 @ SX0 @ SX1 ) )
                    | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( t
          = ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV91 @ SX0 @ SX1 )
                  = ( SV92 @ SX0 @ SX1 ) )
                | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( SV91
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV91 @ SX0 @ SX1 )
                        = ( SV92 @ SX0 @ SX1 ) )
                      | ( SV86 @ SX0 @ SX1 ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
          = ( SV92
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV91 @ SX0 @ SX1 )
                        = ( SV92 @ SX0 @ SX1 ) )
                      | ( SV86 @ SX0 @ SX1 ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( SV91 @ SX0 @ SX1 )
                      = ( SV92 @ SX0 @ SX1 ) )
                    | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV3 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[497]) ).

thf(583,plain,
    ! [SV3: a > $o,SV92: a > a > a,SV91: a > a > a,SV86: a > a > $o] :
      ( ( ( SV86
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( SV91 @ SX0 @ SX1 )
                      = ( SV92 @ SX0 @ SX1 ) )
                    | ( SV86 @ SX0 @ SX1 ) ) ) )
          @ ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV91 @ SX0 @ SX1 )
                  = ( SV92 @ SX0 @ SX1 ) )
                | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ~ ( SV3
              @ ( sK21_E @ t @ SV3
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( SV91 @ SX0 @ SX1 )
                      = ( SV92 @ SX0 @ SX1 ) )
                    | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( t
          = ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV91 @ SX0 @ SX1 )
                  = ( SV92 @ SX0 @ SX1 ) )
                | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ( SV91
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV91 @ SX0 @ SX1 )
                        = ( SV92 @ SX0 @ SX1 ) )
                      | ( SV86 @ SX0 @ SX1 ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
          = ( SV92
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV91 @ SX0 @ SX1 )
                        = ( SV92 @ SX0 @ SX1 ) )
                      | ( SV86 @ SX0 @ SX1 ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( SV91 @ SX0 @ SX1 )
                      = ( SV92 @ SX0 @ SX1 ) )
                    | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV3 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[499]) ).

thf(584,plain,
    ! [SV5: a > $o,SV268: a > a > a,SV267: a > a > a,SV211: a > a > $o] :
      ( ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( SV267 @ SX0 @ SX1 )
                      = ( SV268 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( SV267 @ SX0 @ SX1 )
                  = ( SV268 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( SV267 @ SX0 @ SX1 )
                      = ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
        = $true )
      | ( ( t
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( SV267 @ SX0 @ SX1 )
                  = ( SV268 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( SV267
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( SV267 @ SX0 @ SX1 )
                        = ( SV268 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) )
          = ( SV268
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( SV267 @ SX0 @ SX1 )
                        = ( SV268 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( SV267 @ SX0 @ SX1 )
                      = ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[501]) ).

thf(585,plain,
    ! [SV5: a > $o,SV268: a > a > a,SV267: a > a > a,SV211: a > a > $o] :
      ( ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( SV267 @ SX0 @ SX1 )
                      = ( SV268 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( SV267 @ SX0 @ SX1 )
                  = ( SV268 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( SV267 @ SX0 @ SX1 )
                      = ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
        = $true )
      | ( ( t
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( SV267 @ SX0 @ SX1 )
                  = ( SV268 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV267
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( SV267 @ SX0 @ SX1 )
                        = ( SV268 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) )
          = ( SV268
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( SV267 @ SX0 @ SX1 )
                        = ( SV268 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( SV267 @ SX0 @ SX1 )
                      = ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[503]) ).

thf(586,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t = SX0 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( t = SX0 ) ) ) )
        = $false )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t = SX0 ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t = SX0 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( t = SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( t = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[505]) ).

thf(587,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t = SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( t = SX1 ) ) ) )
        = $false )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t = SX1 ) ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( t = SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[507]) ).

thf(588,plain,
    ! [SV5: a > $o,SV300: a > a > a > a > $o,SV299: a > a > a > $o,SV211: a > a > $o] :
      ( ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t
                      = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( t
                  = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t
                      = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $true )
      | ( ( ( sK23_E
            @ ( SV299
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( t
                          = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t
                      = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
            @ ( SV300
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( t
                          = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t
                      = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( t
                  = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( t
                    = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t
                      = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[509]) ).

thf(589,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX0 ) ) ) )
        = $false )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[511]) ).

thf(590,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX1 ) ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[513]) ).

thf(591,plain,
    ! [SV5: a > $o,SV306: a > a > a > a > $o,SV305: a > a > a > $o,SV211: a > a > $o] :
      ( ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0
                      = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0
                  = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0
                      = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0
                      = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV305
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX0
                          = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0
                      = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
            @ ( SV306
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX0
                          = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0
                      = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0
                  = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0
                    = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0
                      = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[515]) ).

thf(592,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX0 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX0 ) ) ) )
        = $false )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX0 ) ) ) ) )
        = $true )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX0 ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX0 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[517]) ).

thf(593,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX1 ) ) ) )
        = $false )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX1 ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[519]) ).

thf(594,plain,
    ! [SV5: a > $o,SV312: a > a > a > a > $o,SV311: a > a > a > $o,SV211: a > a > $o] :
      ( ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1
                      = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1
                  = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1
                      = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $true )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1
                  = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV311
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX1
                          = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1
                      = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
            @ ( SV312
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX1
                          = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1
                      = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1
                  = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1
                    = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1
                      = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[521]) ).

thf(595,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = t ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = t ) ) ) )
        = $false )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = t ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = t ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = t ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = t ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = t ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[523]) ).

thf(596,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = t ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = t ) ) ) )
        = $false )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = t ) ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = t ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = t ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[525]) ).

thf(597,plain,
    ! [SV5: a > $o,SV278: a > a > a > a > $o,SV277: a > a > a > $o,SV211: a > a > $o] :
      ( ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                      = t ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                  = t ) ) ) )
        = $false )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                      = t ) ) ) ) )
        = $true )
      | ( ( ( sK23_E
            @ ( SV277
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                          = t ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                      = t ) ) ) )
            @ ( SV278
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                          = t ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                      = t ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                  = t ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                    = t ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                      = t ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[527]) ).

thf(598,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX0 ) ) ) )
        = $false )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[529]) ).

thf(599,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX0 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX0 ) ) ) )
        = $false )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX0 ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX0 ) ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[531]) ).

thf(600,plain,
    ! [SV5: a > $o,SV284: a > a > a > a > $o,SV283: a > a > a > $o,SV211: a > a > $o] :
      ( ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                      = SX0 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                  = SX0 ) ) ) )
        = $false )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                      = SX0 ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                      = SX0 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV283
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                          = SX0 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                      = SX0 ) ) ) )
            @ ( SV284
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                          = SX0 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                      = SX0 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                  = SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                    = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                      = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[533]) ).

thf(601,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX1 ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[535]) ).

thf(602,plain,
    ! [SV5: a > $o,SV211: a > a > $o] :
      ( ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX1 ) ) ) )
        = $false )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX1 ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[537]) ).

thf(603,plain,
    ! [SV5: a > $o,SV290: a > a > a > a > $o,SV289: a > a > a > $o,SV211: a > a > $o] :
      ( ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                      = SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                  = SX1 ) ) ) )
        = $false )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                      = SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                  = SX1 ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV289
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                          = SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                      = SX1 ) ) ) )
            @ ( SV290
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                          = SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                      = SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                  = SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                    = SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                      = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[539]) ).

thf(604,plain,
    ! [SV5: a > $o,SV218: a > a > a,SV217: a > a > a,SV212: a > a > $o] :
      ( ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( SV217 @ SX0 @ SX1 )
                      = ( SV218 @ SX0 @ SX1 ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV217 @ SX0 @ SX1 )
                  = ( SV218 @ SX0 @ SX1 ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( SV217 @ SX0 @ SX1 )
                      = ( SV218 @ SX0 @ SX1 ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( t
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV217 @ SX0 @ SX1 )
                  = ( SV218 @ SX0 @ SX1 ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( SV217
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV217 @ SX0 @ SX1 )
                        = ( SV218 @ SX0 @ SX1 ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV218
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV217 @ SX0 @ SX1 )
                        = ( SV218 @ SX0 @ SX1 ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( SV217 @ SX0 @ SX1 )
                      = ( SV218 @ SX0 @ SX1 ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[541]) ).

thf(605,plain,
    ! [SV5: a > $o,SV218: a > a > a,SV217: a > a > a,SV212: a > a > $o] :
      ( ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( SV217 @ SX0 @ SX1 )
                      = ( SV218 @ SX0 @ SX1 ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV217 @ SX0 @ SX1 )
                  = ( SV218 @ SX0 @ SX1 ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( SV217 @ SX0 @ SX1 )
                      = ( SV218 @ SX0 @ SX1 ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( t
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV217 @ SX0 @ SX1 )
                  = ( SV218 @ SX0 @ SX1 ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ( SV217
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV217 @ SX0 @ SX1 )
                        = ( SV218 @ SX0 @ SX1 ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV218
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV217 @ SX0 @ SX1 )
                        = ( SV218 @ SX0 @ SX1 ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( SV217 @ SX0 @ SX1 )
                      = ( SV218 @ SX0 @ SX1 ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[543]) ).

thf(606,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( t = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( t = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( t = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( t = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( t = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( t = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( t = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[545]) ).

thf(607,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( t = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( t = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( t = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( t = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( t = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[547]) ).

thf(608,plain,
    ! [SV5: a > $o,SV250: a > a > a > a > $o,SV249: a > a > a > $o,SV212: a > a > $o] :
      ( ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( t
                      = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( t
                  = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( t
                      = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK23_E
            @ ( SV249
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( t
                          = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( t
                      = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV250
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( t
                          = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( t
                      = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( t
                  = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( t
                    = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( t
                      = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[549]) ).

thf(609,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[551]) ).

thf(610,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX0 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[553]) ).

thf(611,plain,
    ! [SV5: a > $o,SV256: a > a > a > a > $o,SV255: a > a > a > $o,SV212: a > a > $o] :
      ( ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0
                      = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0
                  = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX0
                      = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0
                      = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV255
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX0
                          = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX0
                      = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV256
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX0
                          = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX0
                      = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0
                  = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0
                    = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0
                      = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[555]) ).

thf(612,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX1 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[557]) ).

thf(613,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX1 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[559]) ).

thf(614,plain,
    ! [SV5: a > $o,SV262: a > a > a > a > $o,SV261: a > a > a > $o,SV212: a > a > $o] :
      ( ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1
                      = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1
                  = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX1
                      = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1
                  = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV261
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX1
                          = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX1
                      = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV262
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX1
                          = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX1
                      = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1
                  = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1
                    = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1
                      = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[561]) ).

thf(615,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = t )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX0 = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = t )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0 = t )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[563]) ).

thf(616,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = t )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX1 = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1 = t )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[565]) ).

thf(617,plain,
    ! [SV5: a > $o,SV228: a > a > a > a > $o,SV227: a > a > a > $o,SV212: a > a > $o] :
      ( ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                      = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                  = t )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                      = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK23_E
            @ ( SV227
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                          = t )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                      = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV228
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                          = t )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                      = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                  = t )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                    = t )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                      = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[567]) ).

thf(618,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[569]) ).

thf(619,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX1 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[571]) ).

thf(620,plain,
    ! [SV5: a > $o,SV234: a > a > a > a > $o,SV233: a > a > a > $o,SV212: a > a > $o] :
      ( ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                      = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                  = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                      = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                      = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV233
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                          = SX0 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                      = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV234
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                          = SX0 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                      = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                  = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                    = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                      = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[573]) ).

thf(621,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX0 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[575]) ).

thf(622,plain,
    ! [SV5: a > $o,SV212: a > a > $o] :
      ( ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX1 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[577]) ).

thf(623,plain,
    ! [SV5: a > $o,SV240: a > a > a > a > $o,SV239: a > a > a > $o,SV212: a > a > $o] :
      ( ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                      = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                  = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ~ ( SV5
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                      = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                  = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV239
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                          = SX1 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                      = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV240
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                          = SX1 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                      = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                  = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                    = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                      = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[579]) ).

thf(624,plain,
    ! [SV98: a > a > a,SV97: a > a > a,SV85: a > a > $o,SV3: a > $o] :
      ( ( ( SV3
          @ ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( SV85 @ SX0 @ SX1 )
                | ( ( SV97 @ SX0 @ SX1 )
                  = ( SV98 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( SV85
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV85 @ SX0 @ SX1 )
                    | ( ( SV97 @ SX0 @ SX1 )
                      = ( SV98 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( SV85 @ SX0 @ SX1 )
                | ( ( SV97 @ SX0 @ SX1 )
                  = ( SV98 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( SV85 @ SX0 @ SX1 )
                | ( ( SV97 @ SX0 @ SX1 )
                  = ( SV98 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( SV97
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( ( SV97 @ SX0 @ SX1 )
                        = ( SV98 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) )
          = ( SV98
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( ( SV97 @ SX0 @ SX1 )
                        = ( SV98 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV85 @ SX0 @ SX1 )
                    | ( ( SV97 @ SX0 @ SX1 )
                      = ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV3 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[580]) ).

thf(625,plain,
    ! [SV98: a > a > a,SV97: a > a > a,SV85: a > a > $o,SV3: a > $o] :
      ( ( ( SV3
          @ ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( SV85 @ SX0 @ SX1 )
                | ( ( SV97 @ SX0 @ SX1 )
                  = ( SV98 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( SV85
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV85 @ SX0 @ SX1 )
                    | ( ( SV97 @ SX0 @ SX1 )
                      = ( SV98 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( SV85 @ SX0 @ SX1 )
                | ( ( SV97 @ SX0 @ SX1 )
                  = ( SV98 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( SV85 @ SX0 @ SX1 )
                | ( ( SV97 @ SX0 @ SX1 )
                  = ( SV98 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV97
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( ( SV97 @ SX0 @ SX1 )
                        = ( SV98 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) )
          = ( SV98
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV85 @ SX0 @ SX1 )
                      | ( ( SV97 @ SX0 @ SX1 )
                        = ( SV98 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV85 @ SX0 @ SX1 )
                  | ( ( SV97 @ SX0 @ SX1 )
                    = ( SV98 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV85 @ SX0 @ SX1 )
                    | ( ( SV97 @ SX0 @ SX1 )
                      = ( SV98 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV3 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[581]) ).

thf(626,plain,
    ! [SV86: a > a > $o,SV92: a > a > a,SV91: a > a > a,SV3: a > $o] :
      ( ( ( SV3
          @ ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV91 @ SX0 @ SX1 )
                  = ( SV92 @ SX0 @ SX1 ) )
                | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( SV86
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( SV91 @ SX0 @ SX1 )
                      = ( SV92 @ SX0 @ SX1 ) )
                    | ( SV86 @ SX0 @ SX1 ) ) ) )
          @ ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV91 @ SX0 @ SX1 )
                  = ( SV92 @ SX0 @ SX1 ) )
                | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV91 @ SX0 @ SX1 )
                  = ( SV92 @ SX0 @ SX1 ) )
                | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( SV91
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV91 @ SX0 @ SX1 )
                        = ( SV92 @ SX0 @ SX1 ) )
                      | ( SV86 @ SX0 @ SX1 ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
          = ( SV92
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV91 @ SX0 @ SX1 )
                        = ( SV92 @ SX0 @ SX1 ) )
                      | ( SV86 @ SX0 @ SX1 ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( SV91 @ SX0 @ SX1 )
                      = ( SV92 @ SX0 @ SX1 ) )
                    | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV3 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[582]) ).

thf(627,plain,
    ! [SV86: a > a > $o,SV92: a > a > a,SV91: a > a > a,SV3: a > $o] :
      ( ( ( SV3
          @ ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV91 @ SX0 @ SX1 )
                  = ( SV92 @ SX0 @ SX1 ) )
                | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( SV86
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( SV91 @ SX0 @ SX1 )
                      = ( SV92 @ SX0 @ SX1 ) )
                    | ( SV86 @ SX0 @ SX1 ) ) ) )
          @ ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV91 @ SX0 @ SX1 )
                  = ( SV92 @ SX0 @ SX1 ) )
                | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK21_E @ t @ SV3
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV91 @ SX0 @ SX1 )
                  = ( SV92 @ SX0 @ SX1 ) )
                | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ( SV91
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV91 @ SX0 @ SX1 )
                        = ( SV92 @ SX0 @ SX1 ) )
                      | ( SV86 @ SX0 @ SX1 ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
          = ( SV92
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV91 @ SX0 @ SX1 )
                        = ( SV92 @ SX0 @ SX1 ) )
                      | ( SV86 @ SX0 @ SX1 ) ) ) )
            @ ( sK21_E @ t @ SV3
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( SV91 @ SX0 @ SX1 )
                    = ( SV92 @ SX0 @ SX1 ) )
                  | ( SV86 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( SV91 @ SX0 @ SX1 )
                      = ( SV92 @ SX0 @ SX1 ) )
                    | ( SV86 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV3 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[583]) ).

thf(628,plain,
    ! [SV268: a > a > a,SV267: a > a > a,SV211: a > a > $o,SV5: a > $o] :
      ( ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( SV267 @ SX0 @ SX1 )
                  = ( SV268 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( SV267 @ SX0 @ SX1 )
                      = ( SV268 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( SV267 @ SX0 @ SX1 )
                  = ( SV268 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( SV267 @ SX0 @ SX1 )
                  = ( SV268 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( ( SV267
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( SV267 @ SX0 @ SX1 )
                        = ( SV268 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) )
          = ( SV268
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( SV267 @ SX0 @ SX1 )
                        = ( SV268 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( SV267 @ SX0 @ SX1 )
                      = ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[584]) ).

thf(629,plain,
    ! [SV268: a > a > a,SV267: a > a > a,SV211: a > a > $o,SV5: a > $o] :
      ( ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( SV267 @ SX0 @ SX1 )
                  = ( SV268 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( SV267 @ SX0 @ SX1 )
                      = ( SV268 @ SX0 @ SX1 ) ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( SV267 @ SX0 @ SX1 )
                  = ( SV268 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( SV267 @ SX0 @ SX1 )
                  = ( SV268 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( ( SV267
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( SV267 @ SX0 @ SX1 )
                        = ( SV268 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) )
          = ( SV268
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( SV211 @ SX0 @ SX1 )
                      | ( ( SV267 @ SX0 @ SX1 )
                        = ( SV268 @ SX0 @ SX1 ) ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( SV267 @ SX0 @ SX1 )
                    = ( SV268 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( SV267 @ SX0 @ SX1 )
                      = ( SV268 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[585]) ).

thf(630,plain,
    ! [SV211: a > a > $o,SV5: a > $o] :
      ( ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( t = SX0 ) ) ) )
        = $false )
      | ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t = SX0 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( t = SX0 ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t = SX0 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( t = SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( t = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[586]) ).

thf(631,plain,
    ! [SV211: a > a > $o,SV5: a > $o] :
      ( ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( t = SX1 ) ) ) )
        = $false )
      | ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t = SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( t = SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( t = SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[587]) ).

thf(632,plain,
    ! [SV300: a > a > a > a > $o,SV299: a > a > a > $o,SV211: a > a > $o,SV5: a > $o] :
      ( ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( t
                  = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t
                      = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( t
                  = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK23_E
            @ ( SV299
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( t
                          = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t
                      = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
            @ ( SV300
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( t
                          = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t
                      = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( t
                  = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( t
                    = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( t
                      = ( sK23_E @ ( SV299 @ SX0 @ SX1 ) @ ( SV300 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[588]) ).

thf(633,plain,
    ! [SV211: a > a > $o,SV5: a > $o] :
      ( ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX0 ) ) ) )
        = $false )
      | ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX0 ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[589]) ).

thf(634,plain,
    ! [SV211: a > a > $o,SV5: a > $o] :
      ( ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX1 ) ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[590]) ).

thf(635,plain,
    ! [SV306: a > a > a > a > $o,SV305: a > a > a > $o,SV211: a > a > $o,SV5: a > $o] :
      ( ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0
                  = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0
                      = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0
                  = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0
                      = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV305
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX0
                          = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0
                      = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
            @ ( SV306
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX0
                          = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0
                      = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0
                  = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0
                    = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0
                      = ( sK23_E @ ( SV305 @ SX0 @ SX1 ) @ ( SV306 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[591]) ).

thf(636,plain,
    ! [SV211: a > a > $o,SV5: a > $o] :
      ( ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX0 ) ) ) )
        = $false )
      | ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX0 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX0 ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX0 ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX0 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[592]) ).

thf(637,plain,
    ! [SV211: a > a > $o,SV5: a > $o] :
      ( ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX1 ) ) ) )
        = $false )
      | ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX1 ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX1 ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[593]) ).

thf(638,plain,
    ! [SV312: a > a > a > a > $o,SV311: a > a > a > $o,SV211: a > a > $o,SV5: a > $o] :
      ( ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1
                  = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1
                      = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1
                  = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1
                  = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV311
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX1
                          = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1
                      = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
            @ ( SV312
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( SX1
                          = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1
                      = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1
                  = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1
                    = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1
                      = ( sK23_E @ ( SV311 @ SX0 @ SX1 ) @ ( SV312 @ SX0 @ SX1 ) ) ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[594]) ).

thf(639,plain,
    ! [SV211: a > a > $o,SV5: a > $o] :
      ( ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = t ) ) ) )
        = $false )
      | ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = t ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = t ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = t ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = t ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = t ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = t ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[595]) ).

thf(640,plain,
    ! [SV211: a > a > $o,SV5: a > $o] :
      ( ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = t ) ) ) )
        = $false )
      | ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = t ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = t ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = t ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = t ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[596]) ).

thf(641,plain,
    ! [SV278: a > a > a > a > $o,SV277: a > a > a > $o,SV211: a > a > $o,SV5: a > $o] :
      ( ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                  = t ) ) ) )
        = $false )
      | ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                      = t ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                  = t ) ) ) )
        = $false )
      | ( ( ( sK23_E
            @ ( SV277
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                          = t ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                      = t ) ) ) )
            @ ( SV278
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                          = t ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                      = t ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                  = t ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                    = t ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV277 @ SX0 @ SX1 ) @ ( SV278 @ SX0 @ SX1 ) )
                      = t ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[597]) ).

thf(642,plain,
    ! [SV211: a > a > $o,SV5: a > $o] :
      ( ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX0 ) ) ) )
        = $false )
      | ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX0 ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[598]) ).

thf(643,plain,
    ! [SV211: a > a > $o,SV5: a > $o] :
      ( ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX0 ) ) ) )
        = $false )
      | ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX0 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX0 ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX0 ) ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[599]) ).

thf(644,plain,
    ! [SV284: a > a > a > a > $o,SV283: a > a > a > $o,SV211: a > a > $o,SV5: a > $o] :
      ( ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                  = SX0 ) ) ) )
        = $false )
      | ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                      = SX0 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                  = SX0 ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                      = SX0 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV283
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                          = SX0 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                      = SX0 ) ) ) )
            @ ( SV284
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                          = SX0 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                      = SX0 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                  = SX0 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                    = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV283 @ SX0 @ SX1 ) @ ( SV284 @ SX0 @ SX1 ) )
                      = SX0 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[600]) ).

thf(645,plain,
    ! [SV211: a > a > $o,SV5: a > $o] :
      ( ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX1 ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[601]) ).

thf(646,plain,
    ! [SV211: a > a > $o,SV5: a > $o] :
      ( ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX1 ) ) ) )
        = $false )
      | ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX1 ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( SX1 = SX1 ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( SX1 = SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( SX1 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[602]) ).

thf(647,plain,
    ! [SV290: a > a > a > a > $o,SV289: a > a > a > $o,SV211: a > a > $o,SV5: a > $o] :
      ( ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                  = SX1 ) ) ) )
        = $false )
      | ( ( SV211
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                      = SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                  = SX1 ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                  = SX1 ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV289
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                          = SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                      = SX1 ) ) ) )
            @ ( SV290
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SV211 @ SX0 @ SX1 )
                        | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                          = SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                      = SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SV211 @ SX0 @ SX1 )
                | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                  = SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV211 @ SX0 @ SX1 )
                  | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                    = SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV211 @ SX0 @ SX1 )
                    | ( ( sK23_E @ ( SV289 @ SX0 @ SX1 ) @ ( SV290 @ SX0 @ SX1 ) )
                      = SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[603]) ).

thf(648,plain,
    ! [SV212: a > a > $o,SV218: a > a > a,SV217: a > a > a,SV5: a > $o] :
      ( ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV217 @ SX0 @ SX1 )
                  = ( SV218 @ SX0 @ SX1 ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( SV217 @ SX0 @ SX1 )
                      = ( SV218 @ SX0 @ SX1 ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV217 @ SX0 @ SX1 )
                  = ( SV218 @ SX0 @ SX1 ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV217 @ SX0 @ SX1 )
                  = ( SV218 @ SX0 @ SX1 ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( SV217
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV217 @ SX0 @ SX1 )
                        = ( SV218 @ SX0 @ SX1 ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV218
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV217 @ SX0 @ SX1 )
                        = ( SV218 @ SX0 @ SX1 ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( SV217 @ SX0 @ SX1 )
                      = ( SV218 @ SX0 @ SX1 ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[604]) ).

thf(649,plain,
    ! [SV212: a > a > $o,SV218: a > a > a,SV217: a > a > a,SV5: a > $o] :
      ( ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV217 @ SX0 @ SX1 )
                  = ( SV218 @ SX0 @ SX1 ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( SV217 @ SX0 @ SX1 )
                      = ( SV218 @ SX0 @ SX1 ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV217 @ SX0 @ SX1 )
                  = ( SV218 @ SX0 @ SX1 ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( SV217 @ SX0 @ SX1 )
                  = ( SV218 @ SX0 @ SX1 ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( ( SV217
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV217 @ SX0 @ SX1 )
                        = ( SV218 @ SX0 @ SX1 ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( SV218
            @ ( sK5_E @ t
              @ ^ [SX0: a] :
                  ( sK1_X
                  @ ^ [SX1: a] :
                      ( ( ( SV217 @ SX0 @ SX1 )
                        = ( SV218 @ SX0 @ SX1 ) )
                      | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( sK23_E @ SV5
              @ ^ [SX0: a,SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $true )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( SV217 @ SX0 @ SX1 )
                    = ( SV218 @ SX0 @ SX1 ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( SV217 @ SX0 @ SX1 )
                      = ( SV218 @ SX0 @ SX1 ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[605]) ).

thf(650,plain,
    ! [SV212: a > a > $o,SV5: a > $o] :
      ( ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( t = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( t = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( t = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( t = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( t = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( t = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( t = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[606]) ).

thf(651,plain,
    ! [SV212: a > a > $o,SV5: a > $o] :
      ( ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( t = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( t = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( t = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( t = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( t = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[607]) ).

thf(652,plain,
    ! [SV212: a > a > $o,SV250: a > a > a > a > $o,SV249: a > a > a > $o,SV5: a > $o] :
      ( ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( t
                  = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( t
                      = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( t
                  = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( sK23_E
            @ ( SV249
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( t
                          = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( t
                      = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV250
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( t
                          = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( t
                      = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( t
                  = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( t
                    = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( t
                      = ( sK23_E @ ( SV249 @ SX0 @ SX1 ) @ ( SV250 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[608]) ).

thf(653,plain,
    ! [SV212: a > a > $o,SV5: a > $o] :
      ( ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[609]) ).

thf(654,plain,
    ! [SV212: a > a > $o,SV5: a > $o] :
      ( ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[610]) ).

thf(655,plain,
    ! [SV212: a > a > $o,SV256: a > a > a > a > $o,SV255: a > a > a > $o,SV5: a > $o] :
      ( ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0
                  = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0
                      = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0
                  = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0
                      = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV255
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX0
                          = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX0
                      = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV256
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX0
                          = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX0
                      = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0
                  = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0
                    = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0
                      = ( sK23_E @ ( SV255 @ SX0 @ SX1 ) @ ( SV256 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[611]) ).

thf(656,plain,
    ! [SV212: a > a > $o,SV5: a > $o] :
      ( ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[612]) ).

thf(657,plain,
    ! [SV212: a > a > $o,SV5: a > $o] :
      ( ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[613]) ).

thf(658,plain,
    ! [SV212: a > a > $o,SV262: a > a > a > a > $o,SV261: a > a > a > $o,SV5: a > $o] :
      ( ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1
                  = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1
                      = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1
                  = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1
                  = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV261
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX1
                          = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX1
                      = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV262
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( SX1
                          = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( SX1
                      = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1
                  = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1
                    = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1
                      = ( sK23_E @ ( SV261 @ SX0 @ SX1 ) @ ( SV262 @ SX0 @ SX1 ) ) )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[614]) ).

thf(659,plain,
    ! [SV212: a > a > $o,SV5: a > $o] :
      ( ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = t )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = t )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = t )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0 = t )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[615]) ).

thf(660,plain,
    ! [SV212: a > a > $o,SV5: a > $o] :
      ( ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = t )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = t )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1 = t )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[616]) ).

thf(661,plain,
    ! [SV212: a > a > $o,SV228: a > a > a > a > $o,SV227: a > a > a > $o,SV5: a > $o] :
      ( ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                  = t )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                      = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                  = t )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( sK23_E
            @ ( SV227
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                          = t )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                      = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV228
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                          = t )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                      = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                  = t )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                    = t )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( sK23_E @ ( SV227 @ SX0 @ SX1 ) @ ( SV228 @ SX0 @ SX1 ) )
                      = t )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[617]) ).

thf(662,plain,
    ! [SV212: a > a > $o,SV5: a > $o] :
      ( ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[618]) ).

thf(663,plain,
    ! [SV212: a > a > $o,SV5: a > $o] :
      ( ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1 = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[619]) ).

thf(664,plain,
    ! [SV212: a > a > $o,SV234: a > a > a > a > $o,SV233: a > a > a > $o,SV5: a > $o] :
      ( ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                  = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                      = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                  = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                      = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV233
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                          = SX0 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                      = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV234
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                          = SX0 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                      = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                  = SX0 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                    = SX0 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( sK23_E @ ( SV233 @ SX0 @ SX1 ) @ ( SV234 @ SX0 @ SX1 ) )
                      = SX0 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[620]) ).

thf(665,plain,
    ! [SV212: a > a > $o,SV5: a > $o] :
      ( ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX0 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX0 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX0 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[621]) ).

thf(666,plain,
    ! [SV212: a > a > $o,SV5: a > $o] :
      ( ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( SX1 = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SX1 = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SX1 = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[622]) ).

thf(667,plain,
    ! [SV212: a > a > $o,SV240: a > a > a > a > $o,SV239: a > a > a > $o,SV5: a > $o] :
      ( ( ( SV5
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                  = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( SV212
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                      = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
          @ ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                  = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                  = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) )
          = t )
        = $false )
      | ( ( ( sK23_E
            @ ( SV239
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                          = SX1 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                      = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) )
            @ ( SV240
              @ ( sK5_E @ t
                @ ^ [SX0: a] :
                    ( sK1_X
                    @ ^ [SX1: a] :
                        ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                          = SX1 )
                        | ( SV212 @ SX0 @ SX1 ) ) ) )
              @ ( sK23_E @ SV5
                @ ^ [SX0: a,SX1: a] :
                    ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                      = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
          = ( sK23_E @ SV5
            @ ^ [SX0: a,SX1: a] :
                ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                  = SX1 )
                | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                    = SX1 )
                  | ( SV212 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( ( sK23_E @ ( SV239 @ SX0 @ SX1 ) @ ( SV240 @ SX0 @ SX1 ) )
                      = SX1 )
                    | ( SV212 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[623]) ).

thf(668,plain,
    ! [SV3: a > $o] :
      ( ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( ( SV3 @ SX0 )
                | ( t = SX0 ) ) ) )
        = $false )
      | ( ( sK1_X @ SV3 )
        = $false ) ),
    inference(sim,[status(thm)],[210]) ).

thf(669,plain,
    ! [SV107: a > a > $o,SV106: a > a > $o] :
      ( ( ( t
          = ( sK22_E
            @ ^ [SX0: a,SX1: a] :
                ( ( SV106 @ SX0 @ SX1 )
                | ( SV107 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV106 @ SX0 @ SX1 )
                    | ( SV107 @ SX0 @ SX1 ) ) ) ) )
        = $false )
      | ( ( sK1_X
          @ ^ [SX0: a] :
              ( sK1_X
              @ ^ [SX1: a] :
                  ( ( SV106 @ SX0 @ SX1 )
                  | ( SV107 @ SX0 @ SX1 ) ) ) )
        = $false )
      | ( ( SV107
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV106 @ SX0 @ SX1 )
                    | ( SV107 @ SX0 @ SX1 ) ) ) )
          @ ( sK22_E
            @ ^ [SX0: a,SX1: a] :
                ( ( SV106 @ SX0 @ SX1 )
                | ( SV107 @ SX0 @ SX1 ) ) ) )
        = $true )
      | ( ( SV106
          @ ( sK5_E @ t
            @ ^ [SX0: a] :
                ( sK1_X
                @ ^ [SX1: a] :
                    ( ( SV106 @ SX0 @ SX1 )
                    | ( SV107 @ SX0 @ SX1 ) ) ) )
          @ ( sK22_E
            @ ^ [SX0: a,SX1: a] :
                ( ( SV106 @ SX0 @ SX1 )
                | ( SV107 @ SX0 @ SX1 ) ) ) )
        = $true ) ),
    inference(sim,[status(thm)],[318]) ).

thf(670,plain,
    ( ( t
      = ( sK5_E @ t
        @ ^ [SX0: a] :
            ( $false
            | ( t = SX0 ) ) ) )
    = $false ),
    inference(sim,[status(thm)],[215]) ).

thf(671,plain,
    ! [SV5: a > $o] :
      ( ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( ( SV5 @ SX0 )
                | ( t = SX0 ) ) ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(sim,[status(thm)],[300]) ).

thf(672,plain,
    ! [SV313: a > $o] :
      ( ( ( t
          = ( sK5_E @ t @ SV313 ) )
        = $false )
      | ( ( sK1_X @ SV313 )
        = $false ) ),
    inference(rename,[status(thm)],[40]) ).

thf(673,plain,
    ! [SV313: a > $o,SV5: a > $o] :
      ( ( ( ( sK1_X @ SV313 )
          = ( sK1_X
            @ ^ [SX0: a] :
                ( ( SV5 @ SX0 )
                | ( t = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t @ SV313 ) )
        = $false )
      | ( ( sK1_X @ SV5 )
        = $false ) ),
    inference(res,[status(thm)],[672,42]) ).

thf(675,plain,
    ! [SV313: a > $o] :
      ( ( ( ( sK1_X @ SV313 )
          = ( sK1_X
            @ ^ [SX0: a] :
                ( $false
                | ( t = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t @ SV313 ) )
        = $false ) ),
    inference(res,[status(thm)],[672,33]) ).

thf(677,plain,
    ! [SV313: a > $o,SV3: a > $o,SV4: a] :
      ( ( ( ( sK1_X @ SV313 )
          = ( sK1_X
            @ ^ [SX0: a] :
                ( ( SV3 @ SX0 )
                | ( SV4 = SX0 ) ) ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t @ SV313 ) )
        = $false )
      | ( ( t = SV4 )
        = $false )
      | ( ( sK1_X @ SV3 )
        = $false ) ),
    inference(res,[status(thm)],[672,25]) ).

thf(680,plain,
    ! [SV313: a > $o] :
      ( ( ( ( t
            = ( sK5_E @ t @ SV313 ) )
          = ( t = sK2_E ) )
        = $false )
      | ( ( sK1_X @ SV313 )
        = $false ) ),
    inference(res,[status(thm)],[672,24]) ).

thf(681,plain,
    ! [SV313: a > $o] :
      ( ( ( ( sK1_X @ SV313 )
          = ( sK1_X
            @ ^ [Xy: a] : $false ) )
        = $false )
      | ( ( t
          = ( sK5_E @ t @ SV313 ) )
        = $false ) ),
    inference(res,[status(thm)],[672,11]) ).

thf(684,plain,
    ( ( t
      = ( sK5_E @ t
        @ ^ [SX0: a] : $false ) )
    = $false ),
    inference(extuni,[status(esa)],[681:[bind(SV313,$thf( ^ [SX0: a] : $false ))]]) ).

thf(685,plain,
    ! [SV313: a > $o] :
      ( ( ( sK1_X @ SV313 )
        = $false )
      | ( ( t = sK2_E )
        = $false )
      | ( ( ( sK5_E @ t @ SV313 )
          = t )
        = $false ) ),
    inference(extuni,[status(esa)],[680]) ).

thf(686,plain,
    ! [SV313: a > $o] :
      ( ( ( sK1_X @ SV313 )
        = $false )
      | ( ( ( sK5_E @ t @ SV313 )
          = sK2_E )
        = $false ) ),
    inference(extuni,[status(esa)],[680]) ).

thf(687,plain,
    ! [SV3: a > $o] :
      ( ( ( sK1_X @ SV3 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( ( SV3 @ SX0 )
                | ( t = SX0 ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[677:[bind(SV4,$thf( t )),bind(SV313,$thf( ^ [SX0: a] : ( ( SV3 @ SX0 ) | ( t = SX0 ) ) ))]]) ).

thf(688,plain,
    ( ( t
      = ( sK5_E @ t
        @ ^ [SX0: a] :
            ( $false
            | ( t = SX0 ) ) ) )
    = $false ),
    inference(extuni,[status(esa)],[675:[bind(SV313,$thf( ^ [SX0: a] : ( $false | ( t = SX0 ) ) ))]]) ).

thf(689,plain,
    ! [SV5: a > $o] :
      ( ( ( sK1_X @ SV5 )
        = $false )
      | ( ( t
          = ( sK5_E @ t
            @ ^ [SX0: a] :
                ( ( SV5 @ SX0 )
                | ( t = SX0 ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[673:[bind(SV313,$thf( ^ [SX0: a] : ( ( SV5 @ SX0 ) | ( t = SX0 ) ) ))]]) ).

thf(690,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[11,689,688,687,686,685,684,672,671,670,669,668,667,666,665,664,663,662,661,660,659,658,657,656,655,654,653,652,651,650,649,648,647,646,645,644,643,642,641,640,639,638,637,636,635,634,633,632,631,630,629,628,627,626,625,624,578,576,574,572,570,568,566,564,562,560,558,556,554,552,550,548,546,544,542,540,538,536,534,532,530,528,526,524,522,520,518,516,514,512,510,508,506,504,502,500,498,496,494,492,323,322,321,320,319,317,315,305,304,303,302,301,299,298,296,294,292,290,288,286,284,282,280,278,276,274,272,270,268,266,264,262,260,258,256,254,252,250,248,246,244,242,240,238,236,234,232,230,228,226,224,222,220,209,208,206,204,202,196,195,151,150,147,146,145,144,142,141,134,133,132,131,130,129,128,127,126,125,124,123,121,120,119,78,77,73,72,65,64,59,58,55,54,53,50,42,41,33,25,24,14]) ).

thf(691,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[690]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SEU864^5 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.15  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.15/0.36  % Computer : n012.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 600
% 0.15/0.36  % DateTime : Sun Jun 19 01:26:53 EDT 2022
% 0.15/0.37  % CPUTime  : 
% 0.15/0.37  
% 0.15/0.37   No.of.Axioms: 0
% 0.15/0.37  
% 0.15/0.37   Length.of.Defs: 0
% 0.15/0.37  
% 0.15/0.37   Contains.Choice.Funs: false
% 0.15/0.37  (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)...
% 0.43/0.60  
% 0.43/0.60   Prim_subst applied to clause 
% 0.43/0.60   
% 0.43/0.60  80:[ 0:<SV7@((sK5_E@t)@SV7) = $false>-w(1)-i() 1:<sK1_X@SV7 = $false>-w(1)-i() 2:<t = ((sK5_E@t)@SV7) = $false>-w(1)-i() ]-mln(3)-w(3)-i(rename 37)-o(DERIVED)-fv([ SV7 ])
% 0.76/1.02  .......
% 47.17/47.34  
% 47.17/47.34  ********************************
% 47.17/47.34  *   All subproblems solved!    *
% 47.17/47.34  ********************************
% 47.17/47.34  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:2,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:690,loop_count:10,foatp_calls:3,translation:fof_full)
% 47.92/48.14  
% 47.92/48.14  %**** Beginning of derivation protocol ****
% 47.92/48.14  % SZS output start CNFRefutation
% See solution above
% 47.92/48.15  
% 47.92/48.15  %**** End of derivation protocol ****
% 47.92/48.15  %**** no. of clauses in derivation: 636 ****
% 47.92/48.15  %**** clause counter: 690 ****
% 47.92/48.15  
% 47.92/48.15  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:2,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:690,loop_count:10,foatp_calls:3,translation:fof_full)
%------------------------------------------------------------------------------