TSTP Solution File: SEV028^5 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : SEV028^5 : 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 : n019.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 17:34:25 EDT 2022

% Result   : Theorem 0.40s 0.61s
% Output   : CNFRefutation 0.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   37
%            Number of leaves      :   16
% Syntax   : Number of formulae    :  482 ( 112 unt;  15 typ;   0 def)
%            Number of atoms       : 4637 (1817 equ;   0 cnn)
%            Maximal formula atoms :   10 (   9 avg)
%            Number of connectives : 9252 (1506   ~;1947   |;  79   &;5673   @)
%                                         (  12 <=>;  35  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   6 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :  376 ( 376   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  14 usr;   8 con; 0-2 aty)
%            Number of variables   : 1504 (   0   ^1484   !;  20   ?;1504   :)

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

thf(tp_cQ,type,
    cQ: a > a > $o ).

thf(tp_sK10_Xp,type,
    sK10_Xp: a > a > $o ).

thf(tp_sK11_SY32,type,
    sK11_SY32: a > a ).

thf(tp_sK12_Xx0,type,
    sK12_Xx0: ( a > $o ) > a > a ).

thf(tp_sK13_SY33,type,
    sK13_SY33: ( a > $o ) > a > a ).

thf(tp_sK1_Xx,type,
    sK1_Xx: a ).

thf(tp_sK2_Xx,type,
    sK2_Xx: a ).

thf(tp_sK3_SY20,type,
    sK3_SY20: a ).

thf(tp_sK4_Xx,type,
    sK4_Xx: a ).

thf(tp_sK5_SY21,type,
    sK5_SY21: a ).

thf(tp_sK6_SY23,type,
    sK6_SY23: a ).

thf(tp_sK7_Xz,type,
    sK7_Xz: ( a > $o ) > a ).

thf(tp_sK8_Xx,type,
    sK8_Xx: ( a > $o ) > a ).

thf(tp_sK9_SY24,type,
    sK9_SY24: ( a > $o ) > a ).

thf(1,conjecture,
    ( ( ! [Xp: a > $o] :
          ( ( ? [Xz: a] : ( Xp @ Xz )
            & ! [Xx: a] :
                ( ( Xp @ Xx )
               => ! [Xy: a] :
                    ( ( Xp @ Xy )
                  <=> ( cQ @ Xx @ Xy ) ) ) )
         => ? [Xz: a] : ( Xp @ Xz ) )
      & ! [Xx: a] :
        ? [Xp: a > $o] :
          ( ? [Xz: a] : ( Xp @ Xz )
          & ! [Xx0: a] :
              ( ( Xp @ Xx0 )
             => ! [Xy: a] :
                  ( ( Xp @ Xy )
                <=> ( cQ @ Xx0 @ Xy ) ) )
          & ( Xp @ Xx )
          & ! [Xq: a > $o] :
              ( ( ? [Xz: a] : ( Xq @ Xz )
                & ! [Xx0: a] :
                    ( ( Xq @ Xx0 )
                   => ! [Xy: a] :
                        ( ( Xq @ Xy )
                      <=> ( cQ @ Xx0 @ Xy ) ) )
                & ( Xq @ Xx ) )
             => ( Xq = Xp ) ) ) )
   => ( ! [Xx: a] : ( cQ @ Xx @ Xx )
      & ! [Xx: a,Xy: a] :
          ( ( cQ @ Xx @ Xy )
         => ( cQ @ Xy @ Xx ) )
      & ! [Xx: a,Xy: a,Xz: a] :
          ( ( ( cQ @ Xx @ Xy )
            & ( cQ @ Xy @ Xz ) )
         => ( cQ @ Xx @ Xz ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM558_pme) ).

thf(2,negated_conjecture,
    ( ( ( ! [Xp: a > $o] :
            ( ( ? [Xz: a] : ( Xp @ Xz )
              & ! [Xx: a] :
                  ( ( Xp @ Xx )
                 => ! [Xy: a] :
                      ( ( Xp @ Xy )
                    <=> ( cQ @ Xx @ Xy ) ) ) )
           => ? [Xz: a] : ( Xp @ Xz ) )
        & ! [Xx: a] :
          ? [Xp: a > $o] :
            ( ? [Xz: a] : ( Xp @ Xz )
            & ! [Xx0: a] :
                ( ( Xp @ Xx0 )
               => ! [Xy: a] :
                    ( ( Xp @ Xy )
                  <=> ( cQ @ Xx0 @ Xy ) ) )
            & ( Xp @ Xx )
            & ! [Xq: a > $o] :
                ( ( ? [Xz: a] : ( Xq @ Xz )
                  & ! [Xx0: a] :
                      ( ( Xq @ Xx0 )
                     => ! [Xy: a] :
                          ( ( Xq @ Xy )
                        <=> ( cQ @ Xx0 @ Xy ) ) )
                  & ( Xq @ Xx ) )
               => ( Xq = Xp ) ) ) )
     => ( ! [Xx: a] : ( cQ @ Xx @ Xx )
        & ! [Xx: a,Xy: a] :
            ( ( cQ @ Xx @ Xy )
           => ( cQ @ Xy @ Xx ) )
        & ! [Xx: a,Xy: a,Xz: a] :
            ( ( ( cQ @ Xx @ Xy )
              & ( cQ @ Xy @ Xz ) )
           => ( cQ @ Xx @ Xz ) ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ( ( ( ! [Xp: a > $o] :
            ( ( ? [Xz: a] : ( Xp @ Xz )
              & ! [Xx: a] :
                  ( ( Xp @ Xx )
                 => ! [Xy: a] :
                      ( ( Xp @ Xy )
                    <=> ( cQ @ Xx @ Xy ) ) ) )
           => ? [Xz: a] : ( Xp @ Xz ) )
        & ! [Xx: a] :
          ? [Xp: a > $o] :
            ( ? [Xz: a] : ( Xp @ Xz )
            & ! [Xx0: a] :
                ( ( Xp @ Xx0 )
               => ! [Xy: a] :
                    ( ( Xp @ Xy )
                  <=> ( cQ @ Xx0 @ Xy ) ) )
            & ( Xp @ Xx )
            & ! [Xq: a > $o] :
                ( ( ? [Xz: a] : ( Xq @ Xz )
                  & ! [Xx0: a] :
                      ( ( Xq @ Xx0 )
                     => ! [Xy: a] :
                          ( ( Xq @ Xy )
                        <=> ( cQ @ Xx0 @ Xy ) ) )
                  & ( Xq @ Xx ) )
               => ( Xq = Xp ) ) ) )
     => ( ! [Xx: a] : ( cQ @ Xx @ Xx )
        & ! [Xx: a,Xy: a] :
            ( ( cQ @ Xx @ Xy )
           => ( cQ @ Xy @ Xx ) )
        & ! [Xx: a,Xy: a,Xz: a] :
            ( ( ( cQ @ Xx @ Xy )
              & ( cQ @ Xy @ Xz ) )
           => ( cQ @ Xx @ Xz ) ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(4,plain,
    ( ( ! [Xp: a > $o] :
          ( ( ? [Xz: a] : ( Xp @ Xz )
            & ! [Xx: a] :
                ( ( Xp @ Xx )
               => ! [Xy: a] :
                    ( ( Xp @ Xy )
                  <=> ( cQ @ Xx @ Xy ) ) ) )
         => ? [Xz: a] : ( Xp @ Xz ) ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[3]) ).

thf(5,plain,
    ( ( ! [Xx: a] :
        ? [Xp: a > $o] :
          ( ? [Xz: a] : ( Xp @ Xz )
          & ! [Xx0: a] :
              ( ( Xp @ Xx0 )
             => ! [Xy: a] :
                  ( ( Xp @ Xy )
                <=> ( cQ @ Xx0 @ Xy ) ) )
          & ( Xp @ Xx )
          & ! [Xq: a > $o] :
              ( ( ? [Xz: a] : ( Xq @ Xz )
                & ! [Xx0: a] :
                    ( ( Xq @ Xx0 )
                   => ! [Xy: a] :
                        ( ( Xq @ Xy )
                      <=> ( cQ @ Xx0 @ Xy ) ) )
                & ( Xq @ Xx ) )
             => ( Xq = Xp ) ) ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[3]) ).

thf(6,plain,
    ( ( ! [Xx: a] : ( cQ @ Xx @ Xx )
      & ! [Xx: a,Xy: a] :
          ( ( cQ @ Xx @ Xy )
         => ( cQ @ Xy @ Xx ) )
      & ! [Xx: a,Xy: a,Xz: a] :
          ( ( ( cQ @ Xx @ Xy )
            & ( cQ @ Xy @ Xz ) )
         => ( cQ @ Xx @ Xz ) ) )
    = $false ),
    inference(standard_cnf,[status(thm)],[3]) ).

thf(7,plain,
    ( ( ! [Xx: a] : ( cQ @ Xx @ Xx ) )
    = $false ),
    inference(split_conjecture,[split_conjecture(split,[])],[6]) ).

thf(8,plain,
    ( ( ! [Xx: a,Xy: a] :
          ( ( cQ @ Xx @ Xy )
         => ( cQ @ Xy @ Xx ) ) )
    = $false ),
    inference(split_conjecture,[split_conjecture(split,[])],[6]) ).

thf(9,plain,
    ( ( ! [Xx: a,Xy: a,Xz: a] :
          ( ( ( cQ @ Xx @ Xy )
            & ( cQ @ Xy @ Xz ) )
         => ( cQ @ Xx @ Xz ) ) )
    = $false ),
    inference(split_conjecture,[split_conjecture(split,[])],[6]) ).

thf(10,plain,
    ( ( ~ ! [Xx: a] : ( cQ @ Xx @ Xx ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[7]) ).

thf(11,plain,
    ( ( ~ ! [Xx: a,Xy: a] :
            ( ( cQ @ Xx @ Xy )
           => ( cQ @ Xy @ Xx ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[8]) ).

thf(12,plain,
    ( ( ~ ! [Xx: a,Xy: a,Xz: a] :
            ( ( ( cQ @ Xx @ Xy )
              & ( cQ @ Xy @ Xz ) )
           => ( cQ @ Xx @ Xz ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[9]) ).

thf(13,plain,
    ( ( ~ ( cQ @ sK1_Xx @ sK1_Xx ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[10]) ).

thf(14,plain,
    ( ( ( cQ @ sK2_Xx @ sK3_SY20 )
      & ~ ( cQ @ sK3_SY20 @ sK2_Xx ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[11]) ).

thf(15,plain,
    ( ( ( cQ @ sK4_Xx @ sK5_SY21 )
      & ( cQ @ sK5_SY21 @ sK6_SY23 )
      & ~ ( cQ @ sK4_Xx @ sK6_SY23 ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[12]) ).

thf(16,plain,
    ( ( ! [Xp: a > $o] :
          ( ( ( Xp @ ( sK8_Xx @ Xp ) )
            & ( ~ ( Xp @ ( sK9_SY24 @ Xp ) )
              | ~ ( cQ @ ( sK8_Xx @ Xp ) @ ( sK9_SY24 @ Xp ) ) )
            & ( ( Xp @ ( sK9_SY24 @ Xp ) )
              | ( cQ @ ( sK8_Xx @ Xp ) @ ( sK9_SY24 @ Xp ) ) ) )
          | ! [Xz: a] :
              ~ ( Xp @ Xz )
          | ( Xp @ ( sK7_Xz @ Xp ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[4]) ).

thf(17,plain,
    ( ( ! [Xx: a] :
          ( ! [SY25: a > $o] :
              ( ( ( SY25 @ ( sK12_Xx0 @ SY25 @ Xx ) )
                & ( ~ ( SY25 @ ( sK13_SY33 @ SY25 @ Xx ) )
                  | ~ ( cQ @ ( sK12_Xx0 @ SY25 @ Xx ) @ ( sK13_SY33 @ SY25 @ Xx ) ) )
                & ( ( SY25 @ ( sK13_SY33 @ SY25 @ Xx ) )
                  | ( cQ @ ( sK12_Xx0 @ SY25 @ Xx ) @ ( sK13_SY33 @ SY25 @ Xx ) ) ) )
              | ! [Xz: a] :
                  ~ ( SY25 @ Xz )
              | ~ ( SY25 @ Xx )
              | ( SY25
                = ( sK10_Xp @ Xx ) ) )
          & ! [SY29: a] :
              ( ~ ( sK10_Xp @ Xx @ SY29 )
              | ( ! [SY30: a] :
                    ( ~ ( sK10_Xp @ Xx @ SY30 )
                    | ( cQ @ SY29 @ SY30 ) )
                & ! [SY31: a] :
                    ( ~ ( cQ @ SY29 @ SY31 )
                    | ( sK10_Xp @ Xx @ SY31 ) ) ) )
          & ( sK10_Xp @ Xx @ ( sK11_SY32 @ Xx ) )
          & ( sK10_Xp @ Xx @ Xx ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[5]) ).

thf(18,plain,
    ( ( ! [Xx: a] :
          ( ! [SY25: a > $o] :
              ( ( ( SY25 @ ( sK12_Xx0 @ SY25 @ Xx ) )
                & ( ~ ( SY25 @ ( sK13_SY33 @ SY25 @ Xx ) )
                  | ~ ( cQ @ ( sK12_Xx0 @ SY25 @ Xx ) @ ( sK13_SY33 @ SY25 @ Xx ) ) )
                & ( ( SY25 @ ( sK13_SY33 @ SY25 @ Xx ) )
                  | ( cQ @ ( sK12_Xx0 @ SY25 @ Xx ) @ ( sK13_SY33 @ SY25 @ Xx ) ) ) )
              | ! [Xz: a] :
                  ~ ( SY25 @ Xz )
              | ~ ( SY25 @ Xx )
              | ( SY25
                = ( sK10_Xp @ Xx ) ) )
          & ! [SY29: a] :
              ( ~ ( sK10_Xp @ Xx @ SY29 )
              | ( ! [SY30: a] :
                    ( ~ ( sK10_Xp @ Xx @ SY30 )
                    | ( cQ @ SY29 @ SY30 ) )
                & ! [SY31: a] :
                    ( ~ ( cQ @ SY29 @ SY31 )
                    | ( sK10_Xp @ Xx @ SY31 ) ) ) )
          & ( sK10_Xp @ Xx @ ( sK11_SY32 @ Xx ) )
          & ( sK10_Xp @ Xx @ Xx ) ) )
    = $true ),
    inference(copy,[status(thm)],[17]) ).

thf(19,plain,
    ( ( ! [Xp: a > $o] :
          ( ( ( Xp @ ( sK8_Xx @ Xp ) )
            & ( ~ ( Xp @ ( sK9_SY24 @ Xp ) )
              | ~ ( cQ @ ( sK8_Xx @ Xp ) @ ( sK9_SY24 @ Xp ) ) )
            & ( ( Xp @ ( sK9_SY24 @ Xp ) )
              | ( cQ @ ( sK8_Xx @ Xp ) @ ( sK9_SY24 @ Xp ) ) ) )
          | ! [Xz: a] :
              ~ ( Xp @ Xz )
          | ( Xp @ ( sK7_Xz @ Xp ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[16]) ).

thf(20,plain,
    ( ( ~ ( cQ @ sK1_Xx @ sK1_Xx ) )
    = $true ),
    inference(copy,[status(thm)],[13]) ).

thf(21,plain,
    ( ( ! [SX0: a > $o] :
          ( ~ ( ~ ( SX0 @ ( sK8_Xx @ SX0 ) )
              | ~ ~ ( ~ ( ~ ( SX0 @ ( sK9_SY24 @ SX0 ) )
                        | ~ ( cQ @ ( sK8_Xx @ SX0 ) @ ( sK9_SY24 @ SX0 ) ) )
                    | ~ ( ( SX0 @ ( sK9_SY24 @ SX0 ) )
                        | ( cQ @ ( sK8_Xx @ SX0 ) @ ( sK9_SY24 @ SX0 ) ) ) ) )
          | ! [SX1: a] :
              ~ ( SX0 @ SX1 )
          | ( SX0 @ ( sK7_Xz @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[19]) ).

thf(22,plain,
    ( ( ! [SX0: a] :
          ~ ( ~ ! [SX1: a > $o] :
                  ( ~ ( ~ ( SX1 @ ( sK12_Xx0 @ SX1 @ SX0 ) )
                      | ~ ~ ( ~ ( ~ ( SX1 @ ( sK13_SY33 @ SX1 @ SX0 ) )
                                | ~ ( cQ @ ( sK12_Xx0 @ SX1 @ SX0 ) @ ( sK13_SY33 @ SX1 @ SX0 ) ) )
                            | ~ ( ( SX1 @ ( sK13_SY33 @ SX1 @ SX0 ) )
                                | ( cQ @ ( sK12_Xx0 @ SX1 @ SX0 ) @ ( sK13_SY33 @ SX1 @ SX0 ) ) ) ) )
                  | ! [SX2: a] :
                      ~ ( SX1 @ SX2 )
                  | ~ ( SX1 @ SX0 )
                  | ( SX1
                    = ( sK10_Xp @ SX0 ) ) )
            | ~ ~ ( ~ ~ ( ~ ! [SX1: a] :
                              ( ~ ( sK10_Xp @ SX0 @ SX1 )
                              | ~ ( ~ ! [SX2: a] :
                                        ( ~ ( sK10_Xp @ SX0 @ SX2 )
                                        | ( cQ @ SX1 @ SX2 ) )
                                  | ~ ! [SX2: a] :
                                        ( ~ ( cQ @ SX1 @ SX2 )
                                        | ( sK10_Xp @ SX0 @ SX2 ) ) ) )
                        | ~ ( sK10_Xp @ SX0 @ ( sK11_SY32 @ SX0 ) ) )
                  | ~ ( sK10_Xp @ SX0 @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[18]) ).

thf(23,plain,
    ( ( cQ @ sK1_Xx @ sK1_Xx )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[20]) ).

thf(24,plain,
    ! [SV1: a > $o] :
      ( ( ~ ( ~ ( SV1 @ ( sK8_Xx @ SV1 ) )
            | ~ ~ ( ~ ( ~ ( SV1 @ ( sK9_SY24 @ SV1 ) )
                      | ~ ( cQ @ ( sK8_Xx @ SV1 ) @ ( sK9_SY24 @ SV1 ) ) )
                  | ~ ( ( SV1 @ ( sK9_SY24 @ SV1 ) )
                      | ( cQ @ ( sK8_Xx @ SV1 ) @ ( sK9_SY24 @ SV1 ) ) ) ) )
        | ! [SY34: a] :
            ~ ( SV1 @ SY34 )
        | ( SV1 @ ( sK7_Xz @ SV1 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[21]) ).

thf(25,plain,
    ! [SV2: a] :
      ( ( ~ ( ~ ! [SY35: a > $o] :
                  ( ~ ( ~ ( SY35 @ ( sK12_Xx0 @ SY35 @ SV2 ) )
                      | ~ ~ ( ~ ( ~ ( SY35 @ ( sK13_SY33 @ SY35 @ SV2 ) )
                                | ~ ( cQ @ ( sK12_Xx0 @ SY35 @ SV2 ) @ ( sK13_SY33 @ SY35 @ SV2 ) ) )
                            | ~ ( ( SY35 @ ( sK13_SY33 @ SY35 @ SV2 ) )
                                | ( cQ @ ( sK12_Xx0 @ SY35 @ SV2 ) @ ( sK13_SY33 @ SY35 @ SV2 ) ) ) ) )
                  | ! [SX2: a] :
                      ~ ( SY35 @ SX2 )
                  | ~ ( SY35 @ SV2 )
                  | ( SY35
                    = ( sK10_Xp @ SV2 ) ) )
            | ~ ~ ( ~ ~ ( ~ ! [SY37: a] :
                              ( ~ ( sK10_Xp @ SV2 @ SY37 )
                              | ~ ( ~ ! [SY38: a] :
                                        ( ~ ( sK10_Xp @ SV2 @ SY38 )
                                        | ( cQ @ SY37 @ SY38 ) )
                                  | ~ ! [SY39: a] :
                                        ( ~ ( cQ @ SY37 @ SY39 )
                                        | ( sK10_Xp @ SV2 @ SY39 ) ) ) )
                        | ~ ( sK10_Xp @ SV2 @ ( sK11_SY32 @ SV2 ) ) )
                  | ~ ( sK10_Xp @ SV2 @ SV2 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[22]) ).

thf(26,plain,
    ! [SV1: a > $o] :
      ( ( ( ~ ( ~ ( SV1 @ ( sK8_Xx @ SV1 ) )
              | ~ ~ ( ~ ( ~ ( SV1 @ ( sK9_SY24 @ SV1 ) )
                        | ~ ( cQ @ ( sK8_Xx @ SV1 ) @ ( sK9_SY24 @ SV1 ) ) )
                    | ~ ( ( SV1 @ ( sK9_SY24 @ SV1 ) )
                        | ( cQ @ ( sK8_Xx @ SV1 ) @ ( sK9_SY24 @ SV1 ) ) ) ) )
          | ! [SY34: a] :
              ~ ( SV1 @ SY34 ) )
        = $true )
      | ( ( SV1 @ ( sK7_Xz @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[24]) ).

thf(27,plain,
    ! [SV2: a] :
      ( ( ~ ! [SY35: a > $o] :
              ( ~ ( ~ ( SY35 @ ( sK12_Xx0 @ SY35 @ SV2 ) )
                  | ~ ~ ( ~ ( ~ ( SY35 @ ( sK13_SY33 @ SY35 @ SV2 ) )
                            | ~ ( cQ @ ( sK12_Xx0 @ SY35 @ SV2 ) @ ( sK13_SY33 @ SY35 @ SV2 ) ) )
                        | ~ ( ( SY35 @ ( sK13_SY33 @ SY35 @ SV2 ) )
                            | ( cQ @ ( sK12_Xx0 @ SY35 @ SV2 ) @ ( sK13_SY33 @ SY35 @ SV2 ) ) ) ) )
              | ! [SX2: a] :
                  ~ ( SY35 @ SX2 )
              | ~ ( SY35 @ SV2 )
              | ( SY35
                = ( sK10_Xp @ SV2 ) ) )
        | ~ ~ ( ~ ~ ( ~ ! [SY37: a] :
                          ( ~ ( sK10_Xp @ SV2 @ SY37 )
                          | ~ ( ~ ! [SY38: a] :
                                    ( ~ ( sK10_Xp @ SV2 @ SY38 )
                                    | ( cQ @ SY37 @ SY38 ) )
                              | ~ ! [SY39: a] :
                                    ( ~ ( cQ @ SY37 @ SY39 )
                                    | ( sK10_Xp @ SV2 @ SY39 ) ) ) )
                    | ~ ( sK10_Xp @ SV2 @ ( sK11_SY32 @ SV2 ) ) )
              | ~ ( sK10_Xp @ SV2 @ SV2 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[25]) ).

thf(28,plain,
    ! [SV1: a > $o] :
      ( ( ( ~ ( ~ ( SV1 @ ( sK8_Xx @ SV1 ) )
              | ~ ~ ( ~ ( ~ ( SV1 @ ( sK9_SY24 @ SV1 ) )
                        | ~ ( cQ @ ( sK8_Xx @ SV1 ) @ ( sK9_SY24 @ SV1 ) ) )
                    | ~ ( ( SV1 @ ( sK9_SY24 @ SV1 ) )
                        | ( cQ @ ( sK8_Xx @ SV1 ) @ ( sK9_SY24 @ SV1 ) ) ) ) ) )
        = $true )
      | ( ( ! [SY34: a] :
              ~ ( SV1 @ SY34 ) )
        = $true )
      | ( ( SV1 @ ( sK7_Xz @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[26]) ).

thf(29,plain,
    ! [SV2: a] :
      ( ( ~ ! [SY35: a > $o] :
              ( ~ ( ~ ( SY35 @ ( sK12_Xx0 @ SY35 @ SV2 ) )
                  | ~ ~ ( ~ ( ~ ( SY35 @ ( sK13_SY33 @ SY35 @ SV2 ) )
                            | ~ ( cQ @ ( sK12_Xx0 @ SY35 @ SV2 ) @ ( sK13_SY33 @ SY35 @ SV2 ) ) )
                        | ~ ( ( SY35 @ ( sK13_SY33 @ SY35 @ SV2 ) )
                            | ( cQ @ ( sK12_Xx0 @ SY35 @ SV2 ) @ ( sK13_SY33 @ SY35 @ SV2 ) ) ) ) )
              | ! [SX2: a] :
                  ~ ( SY35 @ SX2 )
              | ~ ( SY35 @ SV2 )
              | ( SY35
                = ( sK10_Xp @ SV2 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[27]) ).

thf(30,plain,
    ! [SV2: a] :
      ( ( ~ ~ ( ~ ~ ( ~ ! [SY37: a] :
                          ( ~ ( sK10_Xp @ SV2 @ SY37 )
                          | ~ ( ~ ! [SY38: a] :
                                    ( ~ ( sK10_Xp @ SV2 @ SY38 )
                                    | ( cQ @ SY37 @ SY38 ) )
                              | ~ ! [SY39: a] :
                                    ( ~ ( cQ @ SY37 @ SY39 )
                                    | ( sK10_Xp @ SV2 @ SY39 ) ) ) )
                    | ~ ( sK10_Xp @ SV2 @ ( sK11_SY32 @ SV2 ) ) )
              | ~ ( sK10_Xp @ SV2 @ SV2 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[27]) ).

thf(31,plain,
    ! [SV1: a > $o] :
      ( ( ( ~ ( SV1 @ ( sK8_Xx @ SV1 ) )
          | ~ ~ ( ~ ( ~ ( SV1 @ ( sK9_SY24 @ SV1 ) )
                    | ~ ( cQ @ ( sK8_Xx @ SV1 ) @ ( sK9_SY24 @ SV1 ) ) )
                | ~ ( ( SV1 @ ( sK9_SY24 @ SV1 ) )
                    | ( cQ @ ( sK8_Xx @ SV1 ) @ ( sK9_SY24 @ SV1 ) ) ) ) )
        = $false )
      | ( ( ! [SY34: a] :
              ~ ( SV1 @ SY34 ) )
        = $true )
      | ( ( SV1 @ ( sK7_Xz @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[28]) ).

thf(32,plain,
    ! [SV2: a] :
      ( ( ! [SY35: a > $o] :
            ( ~ ( ~ ( SY35 @ ( sK12_Xx0 @ SY35 @ SV2 ) )
                | ~ ~ ( ~ ( ~ ( SY35 @ ( sK13_SY33 @ SY35 @ SV2 ) )
                          | ~ ( cQ @ ( sK12_Xx0 @ SY35 @ SV2 ) @ ( sK13_SY33 @ SY35 @ SV2 ) ) )
                      | ~ ( ( SY35 @ ( sK13_SY33 @ SY35 @ SV2 ) )
                          | ( cQ @ ( sK12_Xx0 @ SY35 @ SV2 ) @ ( sK13_SY33 @ SY35 @ SV2 ) ) ) ) )
            | ! [SX2: a] :
                ~ ( SY35 @ SX2 )
            | ~ ( SY35 @ SV2 )
            | ( SY35
              = ( sK10_Xp @ SV2 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[29]) ).

thf(33,plain,
    ! [SV2: a] :
      ( ( ~ ( ~ ~ ( ~ ! [SY37: a] :
                        ( ~ ( sK10_Xp @ SV2 @ SY37 )
                        | ~ ( ~ ! [SY38: a] :
                                  ( ~ ( sK10_Xp @ SV2 @ SY38 )
                                  | ( cQ @ SY37 @ SY38 ) )
                            | ~ ! [SY39: a] :
                                  ( ~ ( cQ @ SY37 @ SY39 )
                                  | ( sK10_Xp @ SV2 @ SY39 ) ) ) )
                  | ~ ( sK10_Xp @ SV2 @ ( sK11_SY32 @ SV2 ) ) )
            | ~ ( sK10_Xp @ SV2 @ SV2 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[30]) ).

thf(34,plain,
    ! [SV1: a > $o] :
      ( ( ( ~ ( SV1 @ ( sK8_Xx @ SV1 ) ) )
        = $false )
      | ( ( ! [SY34: a] :
              ~ ( SV1 @ SY34 ) )
        = $true )
      | ( ( SV1 @ ( sK7_Xz @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[31]) ).

thf(35,plain,
    ! [SV1: a > $o] :
      ( ( ( ~ ~ ( ~ ( ~ ( SV1 @ ( sK9_SY24 @ SV1 ) )
                    | ~ ( cQ @ ( sK8_Xx @ SV1 ) @ ( sK9_SY24 @ SV1 ) ) )
                | ~ ( ( SV1 @ ( sK9_SY24 @ SV1 ) )
                    | ( cQ @ ( sK8_Xx @ SV1 ) @ ( sK9_SY24 @ SV1 ) ) ) ) )
        = $false )
      | ( ( ! [SY34: a] :
              ~ ( SV1 @ SY34 ) )
        = $true )
      | ( ( SV1 @ ( sK7_Xz @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[31]) ).

thf(36,plain,
    ! [SV2: a,SV3: a > $o] :
      ( ( ~ ( ~ ( SV3 @ ( sK12_Xx0 @ SV3 @ SV2 ) )
            | ~ ~ ( ~ ( ~ ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
                      | ~ ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) ) )
                  | ~ ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
                      | ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) ) ) ) )
        | ! [SY40: a] :
            ~ ( SV3 @ SY40 )
        | ~ ( SV3 @ SV2 )
        | ( SV3
          = ( sK10_Xp @ SV2 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[32]) ).

thf(37,plain,
    ! [SV2: a] :
      ( ( ~ ~ ( ~ ! [SY37: a] :
                    ( ~ ( sK10_Xp @ SV2 @ SY37 )
                    | ~ ( ~ ! [SY38: a] :
                              ( ~ ( sK10_Xp @ SV2 @ SY38 )
                              | ( cQ @ SY37 @ SY38 ) )
                        | ~ ! [SY39: a] :
                              ( ~ ( cQ @ SY37 @ SY39 )
                              | ( sK10_Xp @ SV2 @ SY39 ) ) ) )
              | ~ ( sK10_Xp @ SV2 @ ( sK11_SY32 @ SV2 ) ) )
        | ~ ( sK10_Xp @ SV2 @ SV2 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[33]) ).

thf(38,plain,
    ! [SV1: a > $o] :
      ( ( ( SV1 @ ( sK8_Xx @ SV1 ) )
        = $true )
      | ( ( ! [SY34: a] :
              ~ ( SV1 @ SY34 ) )
        = $true )
      | ( ( SV1 @ ( sK7_Xz @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[34]) ).

thf(39,plain,
    ! [SV1: a > $o] :
      ( ( ( ~ ( ~ ( ~ ( SV1 @ ( sK9_SY24 @ SV1 ) )
                  | ~ ( cQ @ ( sK8_Xx @ SV1 ) @ ( sK9_SY24 @ SV1 ) ) )
              | ~ ( ( SV1 @ ( sK9_SY24 @ SV1 ) )
                  | ( cQ @ ( sK8_Xx @ SV1 ) @ ( sK9_SY24 @ SV1 ) ) ) ) )
        = $true )
      | ( ( ! [SY34: a] :
              ~ ( SV1 @ SY34 ) )
        = $true )
      | ( ( SV1 @ ( sK7_Xz @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[35]) ).

thf(40,plain,
    ! [SV2: a,SV3: a > $o] :
      ( ( ( ~ ( ~ ( SV3 @ ( sK12_Xx0 @ SV3 @ SV2 ) )
              | ~ ~ ( ~ ( ~ ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
                        | ~ ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) ) )
                    | ~ ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
                        | ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) ) ) ) )
          | ! [SY40: a] :
              ~ ( SV3 @ SY40 )
          | ~ ( SV3 @ SV2 ) )
        = $true )
      | ( ( SV3
          = ( sK10_Xp @ SV2 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[36]) ).

thf(41,plain,
    ! [SV2: a] :
      ( ( ~ ~ ( ~ ! [SY37: a] :
                    ( ~ ( sK10_Xp @ SV2 @ SY37 )
                    | ~ ( ~ ! [SY38: a] :
                              ( ~ ( sK10_Xp @ SV2 @ SY38 )
                              | ( cQ @ SY37 @ SY38 ) )
                        | ~ ! [SY39: a] :
                              ( ~ ( cQ @ SY37 @ SY39 )
                              | ( sK10_Xp @ SV2 @ SY39 ) ) ) )
              | ~ ( sK10_Xp @ SV2 @ ( sK11_SY32 @ SV2 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[37]) ).

thf(42,plain,
    ! [SV2: a] :
      ( ( ~ ( sK10_Xp @ SV2 @ SV2 ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[37]) ).

thf(43,plain,
    ! [SV4: a,SV1: a > $o] :
      ( ( ( ~ ( SV1 @ SV4 ) )
        = $true )
      | ( ( SV1 @ ( sK8_Xx @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK7_Xz @ SV1 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[38]) ).

thf(44,plain,
    ! [SV1: a > $o] :
      ( ( ( ~ ( ~ ( SV1 @ ( sK9_SY24 @ SV1 ) )
              | ~ ( cQ @ ( sK8_Xx @ SV1 ) @ ( sK9_SY24 @ SV1 ) ) )
          | ~ ( ( SV1 @ ( sK9_SY24 @ SV1 ) )
              | ( cQ @ ( sK8_Xx @ SV1 ) @ ( sK9_SY24 @ SV1 ) ) ) )
        = $false )
      | ( ( ! [SY34: a] :
              ~ ( SV1 @ SY34 ) )
        = $true )
      | ( ( SV1 @ ( sK7_Xz @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[39]) ).

thf(45,plain,
    ! [SV2: a,SV3: a > $o] :
      ( ( ( ~ ( ~ ( SV3 @ ( sK12_Xx0 @ SV3 @ SV2 ) )
              | ~ ~ ( ~ ( ~ ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
                        | ~ ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) ) )
                    | ~ ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
                        | ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) ) ) ) )
          | ! [SY40: a] :
              ~ ( SV3 @ SY40 ) )
        = $true )
      | ( ( ~ ( SV3 @ SV2 ) )
        = $true )
      | ( ( SV3
          = ( sK10_Xp @ SV2 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[40]) ).

thf(46,plain,
    ! [SV2: a] :
      ( ( ~ ( ~ ! [SY37: a] :
                  ( ~ ( sK10_Xp @ SV2 @ SY37 )
                  | ~ ( ~ ! [SY38: a] :
                            ( ~ ( sK10_Xp @ SV2 @ SY38 )
                            | ( cQ @ SY37 @ SY38 ) )
                      | ~ ! [SY39: a] :
                            ( ~ ( cQ @ SY37 @ SY39 )
                            | ( sK10_Xp @ SV2 @ SY39 ) ) ) )
            | ~ ( sK10_Xp @ SV2 @ ( sK11_SY32 @ SV2 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[41]) ).

thf(47,plain,
    ! [SV2: a] :
      ( ( sK10_Xp @ SV2 @ SV2 )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[42]) ).

thf(48,plain,
    ! [SV4: a,SV1: a > $o] :
      ( ( ( SV1 @ SV4 )
        = $false )
      | ( ( SV1 @ ( sK8_Xx @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK7_Xz @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[43]) ).

thf(49,plain,
    ! [SV1: a > $o] :
      ( ( ( ~ ( ~ ( SV1 @ ( sK9_SY24 @ SV1 ) )
              | ~ ( cQ @ ( sK8_Xx @ SV1 ) @ ( sK9_SY24 @ SV1 ) ) ) )
        = $false )
      | ( ( ! [SY34: a] :
              ~ ( SV1 @ SY34 ) )
        = $true )
      | ( ( SV1 @ ( sK7_Xz @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[44]) ).

thf(50,plain,
    ! [SV1: a > $o] :
      ( ( ( ~ ( ( SV1 @ ( sK9_SY24 @ SV1 ) )
              | ( cQ @ ( sK8_Xx @ SV1 ) @ ( sK9_SY24 @ SV1 ) ) ) )
        = $false )
      | ( ( ! [SY34: a] :
              ~ ( SV1 @ SY34 ) )
        = $true )
      | ( ( SV1 @ ( sK7_Xz @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[44]) ).

thf(51,plain,
    ! [SV2: a,SV3: a > $o] :
      ( ( ( ~ ( ~ ( SV3 @ ( sK12_Xx0 @ SV3 @ SV2 ) )
              | ~ ~ ( ~ ( ~ ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
                        | ~ ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) ) )
                    | ~ ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
                        | ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) ) ) ) ) )
        = $true )
      | ( ( ! [SY40: a] :
              ~ ( SV3 @ SY40 ) )
        = $true )
      | ( ( ~ ( SV3 @ SV2 ) )
        = $true )
      | ( ( SV3
          = ( sK10_Xp @ SV2 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[45]) ).

thf(52,plain,
    ! [SV2: a] :
      ( ( ~ ! [SY37: a] :
              ( ~ ( sK10_Xp @ SV2 @ SY37 )
              | ~ ( ~ ! [SY38: a] :
                        ( ~ ( sK10_Xp @ SV2 @ SY38 )
                        | ( cQ @ SY37 @ SY38 ) )
                  | ~ ! [SY39: a] :
                        ( ~ ( cQ @ SY37 @ SY39 )
                        | ( sK10_Xp @ SV2 @ SY39 ) ) ) )
        | ~ ( sK10_Xp @ SV2 @ ( sK11_SY32 @ SV2 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[46]) ).

thf(53,plain,
    ! [SV1: a > $o] :
      ( ( ( ~ ( SV1 @ ( sK9_SY24 @ SV1 ) )
          | ~ ( cQ @ ( sK8_Xx @ SV1 ) @ ( sK9_SY24 @ SV1 ) ) )
        = $true )
      | ( ( ! [SY34: a] :
              ~ ( SV1 @ SY34 ) )
        = $true )
      | ( ( SV1 @ ( sK7_Xz @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[49]) ).

thf(54,plain,
    ! [SV1: a > $o] :
      ( ( ( ( SV1 @ ( sK9_SY24 @ SV1 ) )
          | ( cQ @ ( sK8_Xx @ SV1 ) @ ( sK9_SY24 @ SV1 ) ) )
        = $true )
      | ( ( ! [SY34: a] :
              ~ ( SV1 @ SY34 ) )
        = $true )
      | ( ( SV1 @ ( sK7_Xz @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[50]) ).

thf(55,plain,
    ! [SV2: a,SV3: a > $o] :
      ( ( ( ~ ( SV3 @ ( sK12_Xx0 @ SV3 @ SV2 ) )
          | ~ ~ ( ~ ( ~ ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
                    | ~ ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) ) )
                | ~ ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
                    | ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) ) ) ) )
        = $false )
      | ( ( ! [SY40: a] :
              ~ ( SV3 @ SY40 ) )
        = $true )
      | ( ( ~ ( SV3 @ SV2 ) )
        = $true )
      | ( ( SV3
          = ( sK10_Xp @ SV2 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[51]) ).

thf(56,plain,
    ! [SV2: a] :
      ( ( ~ ! [SY37: a] :
              ( ~ ( sK10_Xp @ SV2 @ SY37 )
              | ~ ( ~ ! [SY38: a] :
                        ( ~ ( sK10_Xp @ SV2 @ SY38 )
                        | ( cQ @ SY37 @ SY38 ) )
                  | ~ ! [SY39: a] :
                        ( ~ ( cQ @ SY37 @ SY39 )
                        | ( sK10_Xp @ SV2 @ SY39 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[52]) ).

thf(57,plain,
    ! [SV2: a] :
      ( ( ~ ( sK10_Xp @ SV2 @ ( sK11_SY32 @ SV2 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[52]) ).

thf(58,plain,
    ! [SV1: a > $o] :
      ( ( ( ~ ( SV1 @ ( sK9_SY24 @ SV1 ) ) )
        = $true )
      | ( ( ~ ( cQ @ ( sK8_Xx @ SV1 ) @ ( sK9_SY24 @ SV1 ) ) )
        = $true )
      | ( ( ! [SY34: a] :
              ~ ( SV1 @ SY34 ) )
        = $true )
      | ( ( SV1 @ ( sK7_Xz @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[53]) ).

thf(59,plain,
    ! [SV1: a > $o] :
      ( ( ( SV1 @ ( sK9_SY24 @ SV1 ) )
        = $true )
      | ( ( cQ @ ( sK8_Xx @ SV1 ) @ ( sK9_SY24 @ SV1 ) )
        = $true )
      | ( ( ! [SY34: a] :
              ~ ( SV1 @ SY34 ) )
        = $true )
      | ( ( SV1 @ ( sK7_Xz @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[54]) ).

thf(60,plain,
    ! [SV2: a,SV3: a > $o] :
      ( ( ( ~ ( SV3 @ ( sK12_Xx0 @ SV3 @ SV2 ) ) )
        = $false )
      | ( ( ! [SY40: a] :
              ~ ( SV3 @ SY40 ) )
        = $true )
      | ( ( ~ ( SV3 @ SV2 ) )
        = $true )
      | ( ( SV3
          = ( sK10_Xp @ SV2 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[55]) ).

thf(61,plain,
    ! [SV2: a,SV3: a > $o] :
      ( ( ( ~ ~ ( ~ ( ~ ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
                    | ~ ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) ) )
                | ~ ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
                    | ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) ) ) ) )
        = $false )
      | ( ( ! [SY40: a] :
              ~ ( SV3 @ SY40 ) )
        = $true )
      | ( ( ~ ( SV3 @ SV2 ) )
        = $true )
      | ( ( SV3
          = ( sK10_Xp @ SV2 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[55]) ).

thf(62,plain,
    ! [SV2: a] :
      ( ( ! [SY37: a] :
            ( ~ ( sK10_Xp @ SV2 @ SY37 )
            | ~ ( ~ ! [SY38: a] :
                      ( ~ ( sK10_Xp @ SV2 @ SY38 )
                      | ( cQ @ SY37 @ SY38 ) )
                | ~ ! [SY39: a] :
                      ( ~ ( cQ @ SY37 @ SY39 )
                      | ( sK10_Xp @ SV2 @ SY39 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[56]) ).

thf(63,plain,
    ! [SV2: a] :
      ( ( sK10_Xp @ SV2 @ ( sK11_SY32 @ SV2 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[57]) ).

thf(64,plain,
    ! [SV1: a > $o] :
      ( ( ( SV1 @ ( sK9_SY24 @ SV1 ) )
        = $false )
      | ( ( ~ ( cQ @ ( sK8_Xx @ SV1 ) @ ( sK9_SY24 @ SV1 ) ) )
        = $true )
      | ( ( ! [SY34: a] :
              ~ ( SV1 @ SY34 ) )
        = $true )
      | ( ( SV1 @ ( sK7_Xz @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[58]) ).

thf(65,plain,
    ! [SV5: a,SV1: a > $o] :
      ( ( ( ~ ( SV1 @ SV5 ) )
        = $true )
      | ( ( cQ @ ( sK8_Xx @ SV1 ) @ ( sK9_SY24 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK9_SY24 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK7_Xz @ SV1 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[59]) ).

thf(66,plain,
    ! [SV2: a,SV3: a > $o] :
      ( ( ( SV3 @ ( sK12_Xx0 @ SV3 @ SV2 ) )
        = $true )
      | ( ( ! [SY40: a] :
              ~ ( SV3 @ SY40 ) )
        = $true )
      | ( ( ~ ( SV3 @ SV2 ) )
        = $true )
      | ( ( SV3
          = ( sK10_Xp @ SV2 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[60]) ).

thf(67,plain,
    ! [SV2: a,SV3: a > $o] :
      ( ( ( ~ ( ~ ( ~ ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
                  | ~ ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) ) )
              | ~ ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
                  | ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) ) ) ) )
        = $true )
      | ( ( ! [SY40: a] :
              ~ ( SV3 @ SY40 ) )
        = $true )
      | ( ( ~ ( SV3 @ SV2 ) )
        = $true )
      | ( ( SV3
          = ( sK10_Xp @ SV2 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[61]) ).

thf(68,plain,
    ! [SV6: a,SV2: a] :
      ( ( ~ ( sK10_Xp @ SV2 @ SV6 )
        | ~ ( ~ ! [SY41: a] :
                  ( ~ ( sK10_Xp @ SV2 @ SY41 )
                  | ( cQ @ SV6 @ SY41 ) )
            | ~ ! [SY42: a] :
                  ( ~ ( cQ @ SV6 @ SY42 )
                  | ( sK10_Xp @ SV2 @ SY42 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[62]) ).

thf(69,plain,
    ! [SV1: a > $o] :
      ( ( ( cQ @ ( sK8_Xx @ SV1 ) @ ( sK9_SY24 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK9_SY24 @ SV1 ) )
        = $false )
      | ( ( ! [SY34: a] :
              ~ ( SV1 @ SY34 ) )
        = $true )
      | ( ( SV1 @ ( sK7_Xz @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[64]) ).

thf(70,plain,
    ! [SV5: a,SV1: a > $o] :
      ( ( ( SV1 @ SV5 )
        = $false )
      | ( ( cQ @ ( sK8_Xx @ SV1 ) @ ( sK9_SY24 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK9_SY24 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK7_Xz @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[65]) ).

thf(71,plain,
    ! [SV2: a,SV7: a,SV3: a > $o] :
      ( ( ( ~ ( SV3 @ SV7 ) )
        = $true )
      | ( ( SV3 @ ( sK12_Xx0 @ SV3 @ SV2 ) )
        = $true )
      | ( ( ~ ( SV3 @ SV2 ) )
        = $true )
      | ( ( SV3
          = ( sK10_Xp @ SV2 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[66]) ).

thf(72,plain,
    ! [SV2: a,SV3: a > $o] :
      ( ( ( ~ ( ~ ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
              | ~ ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) ) )
          | ~ ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
              | ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) ) ) )
        = $false )
      | ( ( ! [SY40: a] :
              ~ ( SV3 @ SY40 ) )
        = $true )
      | ( ( ~ ( SV3 @ SV2 ) )
        = $true )
      | ( ( SV3
          = ( sK10_Xp @ SV2 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[67]) ).

thf(73,plain,
    ! [SV6: a,SV2: a] :
      ( ( ( ~ ( sK10_Xp @ SV2 @ SV6 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY41: a] :
                    ( ~ ( sK10_Xp @ SV2 @ SY41 )
                    | ( cQ @ SV6 @ SY41 ) )
              | ~ ! [SY42: a] :
                    ( ~ ( cQ @ SV6 @ SY42 )
                    | ( sK10_Xp @ SV2 @ SY42 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[68]) ).

thf(74,plain,
    ! [SV8: a,SV1: a > $o] :
      ( ( ( ~ ( SV1 @ SV8 ) )
        = $true )
      | ( ( SV1 @ ( sK9_SY24 @ SV1 ) )
        = $false )
      | ( ( cQ @ ( sK8_Xx @ SV1 ) @ ( sK9_SY24 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK7_Xz @ SV1 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[69]) ).

thf(75,plain,
    ! [SV2: a,SV7: a,SV3: a > $o] :
      ( ( ( SV3 @ SV7 )
        = $false )
      | ( ( SV3 @ ( sK12_Xx0 @ SV3 @ SV2 ) )
        = $true )
      | ( ( ~ ( SV3 @ SV2 ) )
        = $true )
      | ( ( SV3
          = ( sK10_Xp @ SV2 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[71]) ).

thf(76,plain,
    ! [SV2: a,SV3: a > $o] :
      ( ( ( ~ ( ~ ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
              | ~ ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) ) ) )
        = $false )
      | ( ( ! [SY40: a] :
              ~ ( SV3 @ SY40 ) )
        = $true )
      | ( ( ~ ( SV3 @ SV2 ) )
        = $true )
      | ( ( SV3
          = ( sK10_Xp @ SV2 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[72]) ).

thf(77,plain,
    ! [SV2: a,SV3: a > $o] :
      ( ( ( ~ ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
              | ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) ) ) )
        = $false )
      | ( ( ! [SY40: a] :
              ~ ( SV3 @ SY40 ) )
        = $true )
      | ( ( ~ ( SV3 @ SV2 ) )
        = $true )
      | ( ( SV3
          = ( sK10_Xp @ SV2 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[72]) ).

thf(78,plain,
    ! [SV6: a,SV2: a] :
      ( ( ( sK10_Xp @ SV2 @ SV6 )
        = $false )
      | ( ( ~ ( ~ ! [SY41: a] :
                    ( ~ ( sK10_Xp @ SV2 @ SY41 )
                    | ( cQ @ SV6 @ SY41 ) )
              | ~ ! [SY42: a] :
                    ( ~ ( cQ @ SV6 @ SY42 )
                    | ( sK10_Xp @ SV2 @ SY42 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[73]) ).

thf(79,plain,
    ! [SV8: a,SV1: a > $o] :
      ( ( ( SV1 @ SV8 )
        = $false )
      | ( ( SV1 @ ( sK9_SY24 @ SV1 ) )
        = $false )
      | ( ( cQ @ ( sK8_Xx @ SV1 ) @ ( sK9_SY24 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK7_Xz @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[74]) ).

thf(80,plain,
    ! [SV7: a,SV2: a,SV3: a > $o] :
      ( ( ( SV3 @ SV2 )
        = $false )
      | ( ( SV3 @ ( sK12_Xx0 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ SV7 )
        = $false )
      | ( ( SV3
          = ( sK10_Xp @ SV2 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[75]) ).

thf(81,plain,
    ! [SV2: a,SV3: a > $o] :
      ( ( ( ~ ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
          | ~ ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) ) )
        = $true )
      | ( ( ! [SY40: a] :
              ~ ( SV3 @ SY40 ) )
        = $true )
      | ( ( ~ ( SV3 @ SV2 ) )
        = $true )
      | ( ( SV3
          = ( sK10_Xp @ SV2 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[76]) ).

thf(82,plain,
    ! [SV2: a,SV3: a > $o] :
      ( ( ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
          | ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) ) )
        = $true )
      | ( ( ! [SY40: a] :
              ~ ( SV3 @ SY40 ) )
        = $true )
      | ( ( ~ ( SV3 @ SV2 ) )
        = $true )
      | ( ( SV3
          = ( sK10_Xp @ SV2 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[77]) ).

thf(83,plain,
    ! [SV6: a,SV2: a] :
      ( ( ( ~ ! [SY41: a] :
                ( ~ ( sK10_Xp @ SV2 @ SY41 )
                | ( cQ @ SV6 @ SY41 ) )
          | ~ ! [SY42: a] :
                ( ~ ( cQ @ SV6 @ SY42 )
                | ( sK10_Xp @ SV2 @ SY42 ) ) )
        = $false )
      | ( ( sK10_Xp @ SV2 @ SV6 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[78]) ).

thf(84,plain,
    ! [SV7: a,SV2: a,SV3: a > $o] :
      ( ( ( ! [SV9: a] :
              ( ( SV3 @ SV9 )
              = ( sK10_Xp @ SV2 @ SV9 ) ) )
        = $true )
      | ( ( SV3 @ SV7 )
        = $false )
      | ( ( SV3 @ ( sK12_Xx0 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ SV2 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[80]) ).

thf(85,plain,
    ! [SV7: a,SV2: a,SV3: a > $o] :
      ( ( ( SV3
          = ( sK10_Xp @ SV2 ) )
        = $true )
      | ( ( SV3 @ SV7 )
        = $false )
      | ( ( SV3 @ ( sK12_Xx0 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ SV2 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[80]) ).

thf(86,plain,
    ! [SV2: a,SV3: a > $o] :
      ( ( ( ~ ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) ) )
        = $true )
      | ( ( ~ ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) ) )
        = $true )
      | ( ( ! [SY40: a] :
              ~ ( SV3 @ SY40 ) )
        = $true )
      | ( ( ~ ( SV3 @ SV2 ) )
        = $true )
      | ( ( SV3
          = ( sK10_Xp @ SV2 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[81]) ).

thf(87,plain,
    ! [SV2: a,SV3: a > $o] :
      ( ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $true )
      | ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $true )
      | ( ( ! [SY40: a] :
              ~ ( SV3 @ SY40 ) )
        = $true )
      | ( ( ~ ( SV3 @ SV2 ) )
        = $true )
      | ( ( SV3
          = ( sK10_Xp @ SV2 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[82]) ).

thf(88,plain,
    ! [SV6: a,SV2: a] :
      ( ( ( ~ ! [SY41: a] :
                ( ~ ( sK10_Xp @ SV2 @ SY41 )
                | ( cQ @ SV6 @ SY41 ) ) )
        = $false )
      | ( ( sK10_Xp @ SV2 @ SV6 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[83]) ).

thf(89,plain,
    ! [SV2: a,SV6: a] :
      ( ( ( ~ ! [SY42: a] :
                ( ~ ( cQ @ SV6 @ SY42 )
                | ( sK10_Xp @ SV2 @ SY42 ) ) )
        = $false )
      | ( ( sK10_Xp @ SV2 @ SV6 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[83]) ).

thf(90,plain,
    ! [SV7: a,SV2: a,SV10: a,SV3: a > $o] :
      ( ( ( ( SV3 @ SV10 )
          = ( sK10_Xp @ SV2 @ SV10 ) )
        = $true )
      | ( ( SV3 @ SV7 )
        = $false )
      | ( ( SV3 @ ( sK12_Xx0 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ SV2 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[84]) ).

thf(91,plain,
    ! [SV2: a,SV3: a > $o] :
      ( ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $false )
      | ( ( ~ ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) ) )
        = $true )
      | ( ( ! [SY40: a] :
              ~ ( SV3 @ SY40 ) )
        = $true )
      | ( ( ~ ( SV3 @ SV2 ) )
        = $true )
      | ( ( SV3
          = ( sK10_Xp @ SV2 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[86]) ).

thf(92,plain,
    ! [SV2: a,SV11: a,SV3: a > $o] :
      ( ( ( ~ ( SV3 @ SV11 ) )
        = $true )
      | ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $true )
      | ( ( ~ ( SV3 @ SV2 ) )
        = $true )
      | ( ( SV3
          = ( sK10_Xp @ SV2 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[87]) ).

thf(93,plain,
    ! [SV6: a,SV2: a] :
      ( ( ( ! [SY41: a] :
              ( ~ ( sK10_Xp @ SV2 @ SY41 )
              | ( cQ @ SV6 @ SY41 ) ) )
        = $true )
      | ( ( sK10_Xp @ SV2 @ SV6 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[88]) ).

thf(94,plain,
    ! [SV2: a,SV6: a] :
      ( ( ( ! [SY42: a] :
              ( ~ ( cQ @ SV6 @ SY42 )
              | ( sK10_Xp @ SV2 @ SY42 ) ) )
        = $true )
      | ( ( sK10_Xp @ SV2 @ SV6 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[89]) ).

thf(95,plain,
    ! [SV7: a,SV2: a,SV10: a,SV3: a > $o] :
      ( ( ( ~ ( ( SV3 @ SV10 )
              | ( sK10_Xp @ SV2 @ SV10 ) )
          | ~ ( ~ ( SV3 @ SV10 )
              | ~ ( sK10_Xp @ SV2 @ SV10 ) ) )
        = $true )
      | ( ( SV3 @ SV7 )
        = $false )
      | ( ( SV3 @ ( sK12_Xx0 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ SV2 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[90]) ).

thf(96,plain,
    ! [SV7: a,SV2: a,SV10: a,SV3: a > $o] :
      ( ( ( ( SV3 @ SV10 )
          = ( sK10_Xp @ SV2 @ SV10 ) )
        = $true )
      | ( ( SV3 @ SV7 )
        = $false )
      | ( ( SV3 @ ( sK12_Xx0 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ SV2 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[90]) ).

thf(97,plain,
    ! [SV2: a,SV3: a > $o] :
      ( ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $false )
      | ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $false )
      | ( ( ! [SY40: a] :
              ~ ( SV3 @ SY40 ) )
        = $true )
      | ( ( ~ ( SV3 @ SV2 ) )
        = $true )
      | ( ( SV3
          = ( sK10_Xp @ SV2 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[91]) ).

thf(98,plain,
    ! [SV2: a,SV11: a,SV3: a > $o] :
      ( ( ( SV3 @ SV11 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $true )
      | ( ( ~ ( SV3 @ SV2 ) )
        = $true )
      | ( ( SV3
          = ( sK10_Xp @ SV2 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[92]) ).

thf(99,plain,
    ! [SV6: a,SV12: a,SV2: a] :
      ( ( ( ~ ( sK10_Xp @ SV2 @ SV12 )
          | ( cQ @ SV6 @ SV12 ) )
        = $true )
      | ( ( sK10_Xp @ SV2 @ SV6 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[93]) ).

thf(100,plain,
    ! [SV2: a,SV13: a,SV6: a] :
      ( ( ( ~ ( cQ @ SV6 @ SV13 )
          | ( sK10_Xp @ SV2 @ SV13 ) )
        = $true )
      | ( ( sK10_Xp @ SV2 @ SV6 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[94]) ).

thf(101,plain,
    ! [SV7: a,SV2: a,SV10: a,SV3: a > $o] :
      ( ( ( ~ ( ( SV3 @ SV10 )
              | ( sK10_Xp @ SV2 @ SV10 ) ) )
        = $true )
      | ( ( ~ ( ~ ( SV3 @ SV10 )
              | ~ ( sK10_Xp @ SV2 @ SV10 ) ) )
        = $true )
      | ( ( SV3 @ SV7 )
        = $false )
      | ( ( SV3 @ ( sK12_Xx0 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ SV2 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[95]) ).

thf(102,plain,
    ! [SV2: a,SV14: a,SV3: a > $o] :
      ( ( ( ~ ( SV3 @ SV14 ) )
        = $true )
      | ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $false )
      | ( ( ~ ( SV3 @ SV2 ) )
        = $true )
      | ( ( SV3
          = ( sK10_Xp @ SV2 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[97]) ).

thf(103,plain,
    ! [SV11: a,SV2: a,SV3: a > $o] :
      ( ( ( SV3 @ SV2 )
        = $false )
      | ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $true )
      | ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ SV11 )
        = $false )
      | ( ( SV3
          = ( sK10_Xp @ SV2 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[98]) ).

thf(104,plain,
    ! [SV6: a,SV12: a,SV2: a] :
      ( ( ( ~ ( sK10_Xp @ SV2 @ SV12 ) )
        = $true )
      | ( ( cQ @ SV6 @ SV12 )
        = $true )
      | ( ( sK10_Xp @ SV2 @ SV6 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[99]) ).

thf(105,plain,
    ! [SV2: a,SV13: a,SV6: a] :
      ( ( ( ~ ( cQ @ SV6 @ SV13 ) )
        = $true )
      | ( ( sK10_Xp @ SV2 @ SV13 )
        = $true )
      | ( ( sK10_Xp @ SV2 @ SV6 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[100]) ).

thf(106,plain,
    ! [SV7: a,SV2: a,SV10: a,SV3: a > $o] :
      ( ( ( ( SV3 @ SV10 )
          | ( sK10_Xp @ SV2 @ SV10 ) )
        = $false )
      | ( ( ~ ( ~ ( SV3 @ SV10 )
              | ~ ( sK10_Xp @ SV2 @ SV10 ) ) )
        = $true )
      | ( ( SV3 @ SV7 )
        = $false )
      | ( ( SV3 @ ( sK12_Xx0 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ SV2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[101]) ).

thf(107,plain,
    ! [SV2: a,SV14: a,SV3: a > $o] :
      ( ( ( SV3 @ SV14 )
        = $false )
      | ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $false )
      | ( ( ~ ( SV3 @ SV2 ) )
        = $true )
      | ( ( SV3
          = ( sK10_Xp @ SV2 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[102]) ).

thf(108,plain,
    ! [SV11: a,SV2: a,SV3: a > $o] :
      ( ( ( ! [SV15: a] :
              ( ( SV3 @ SV15 )
              = ( sK10_Xp @ SV2 @ SV15 ) ) )
        = $true )
      | ( ( SV3 @ SV11 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ SV2 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[103]) ).

thf(109,plain,
    ! [SV11: a,SV2: a,SV3: a > $o] :
      ( ( ( SV3
          = ( sK10_Xp @ SV2 ) )
        = $true )
      | ( ( SV3 @ SV11 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ SV2 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[103]) ).

thf(110,plain,
    ! [SV6: a,SV12: a,SV2: a] :
      ( ( ( sK10_Xp @ SV2 @ SV12 )
        = $false )
      | ( ( cQ @ SV6 @ SV12 )
        = $true )
      | ( ( sK10_Xp @ SV2 @ SV6 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[104]) ).

thf(111,plain,
    ! [SV2: a,SV13: a,SV6: a] :
      ( ( ( cQ @ SV6 @ SV13 )
        = $false )
      | ( ( sK10_Xp @ SV2 @ SV13 )
        = $true )
      | ( ( sK10_Xp @ SV2 @ SV6 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[105]) ).

thf(112,plain,
    ! [SV7: a,SV2: a,SV10: a,SV3: a > $o] :
      ( ( ( SV3 @ SV10 )
        = $false )
      | ( ( ~ ( ~ ( SV3 @ SV10 )
              | ~ ( sK10_Xp @ SV2 @ SV10 ) ) )
        = $true )
      | ( ( SV3 @ SV7 )
        = $false )
      | ( ( SV3 @ ( sK12_Xx0 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ SV2 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[106]) ).

thf(113,plain,
    ! [SV7: a,SV3: a > $o,SV10: a,SV2: a] :
      ( ( ( sK10_Xp @ SV2 @ SV10 )
        = $false )
      | ( ( ~ ( ~ ( SV3 @ SV10 )
              | ~ ( sK10_Xp @ SV2 @ SV10 ) ) )
        = $true )
      | ( ( SV3 @ SV7 )
        = $false )
      | ( ( SV3 @ ( sK12_Xx0 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ SV2 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[106]) ).

thf(114,plain,
    ! [SV14: a,SV2: a,SV3: a > $o] :
      ( ( ( SV3 @ SV2 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $false )
      | ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $false )
      | ( ( SV3 @ SV14 )
        = $false )
      | ( ( SV3
          = ( sK10_Xp @ SV2 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[107]) ).

thf(115,plain,
    ! [SV11: a,SV2: a,SV16: a,SV3: a > $o] :
      ( ( ( ( SV3 @ SV16 )
          = ( sK10_Xp @ SV2 @ SV16 ) )
        = $true )
      | ( ( SV3 @ SV11 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ SV2 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[108]) ).

thf(116,plain,
    ! [SV7: a,SV2: a,SV10: a,SV3: a > $o] :
      ( ( ( ~ ( SV3 @ SV10 )
          | ~ ( sK10_Xp @ SV2 @ SV10 ) )
        = $false )
      | ( ( SV3 @ SV10 )
        = $false )
      | ( ( SV3 @ SV7 )
        = $false )
      | ( ( SV3 @ ( sK12_Xx0 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ SV2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[112]) ).

thf(117,plain,
    ! [SV7: a,SV2: a,SV10: a,SV3: a > $o] :
      ( ( ( ~ ( SV3 @ SV10 )
          | ~ ( sK10_Xp @ SV2 @ SV10 ) )
        = $false )
      | ( ( sK10_Xp @ SV2 @ SV10 )
        = $false )
      | ( ( SV3 @ SV7 )
        = $false )
      | ( ( SV3 @ ( sK12_Xx0 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ SV2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[113]) ).

thf(118,plain,
    ! [SV14: a,SV2: a,SV3: a > $o] :
      ( ( ( ! [SV17: a] :
              ( ( SV3 @ SV17 )
              = ( sK10_Xp @ SV2 @ SV17 ) ) )
        = $true )
      | ( ( SV3 @ SV14 )
        = $false )
      | ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $false )
      | ( ( SV3 @ SV2 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[114]) ).

thf(119,plain,
    ! [SV14: a,SV2: a,SV3: a > $o] :
      ( ( ( SV3
          = ( sK10_Xp @ SV2 ) )
        = $true )
      | ( ( SV3 @ SV14 )
        = $false )
      | ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $false )
      | ( ( SV3 @ SV2 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[114]) ).

thf(120,plain,
    ! [SV11: a,SV2: a,SV16: a,SV3: a > $o] :
      ( ( ( ~ ( ( SV3 @ SV16 )
              | ( sK10_Xp @ SV2 @ SV16 ) )
          | ~ ( ~ ( SV3 @ SV16 )
              | ~ ( sK10_Xp @ SV2 @ SV16 ) ) )
        = $true )
      | ( ( SV3 @ SV11 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ SV2 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[115]) ).

thf(121,plain,
    ! [SV11: a,SV2: a,SV16: a,SV3: a > $o] :
      ( ( ( ( SV3 @ SV16 )
          = ( sK10_Xp @ SV2 @ SV16 ) )
        = $true )
      | ( ( SV3 @ SV11 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ SV2 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[115]) ).

thf(122,plain,
    ! [SV2: a,SV7: a,SV10: a,SV3: a > $o] :
      ( ( ( ~ ( SV3 @ SV10 ) )
        = $false )
      | ( ( SV3 @ SV10 )
        = $false )
      | ( ( SV3 @ SV7 )
        = $false )
      | ( ( SV3 @ ( sK12_Xx0 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ SV2 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[116]) ).

thf(123,plain,
    ! [SV7: a,SV3: a > $o,SV10: a,SV2: a] :
      ( ( ( ~ ( sK10_Xp @ SV2 @ SV10 ) )
        = $false )
      | ( ( SV3 @ SV10 )
        = $false )
      | ( ( SV3 @ SV7 )
        = $false )
      | ( ( SV3 @ ( sK12_Xx0 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ SV2 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[116]) ).

thf(124,plain,
    ! [SV7: a,SV2: a,SV10: a,SV3: a > $o] :
      ( ( ( ~ ( SV3 @ SV10 ) )
        = $false )
      | ( ( sK10_Xp @ SV2 @ SV10 )
        = $false )
      | ( ( SV3 @ SV7 )
        = $false )
      | ( ( SV3 @ ( sK12_Xx0 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ SV2 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[117]) ).

thf(125,plain,
    ! [SV7: a,SV3: a > $o,SV10: a,SV2: a] :
      ( ( ( ~ ( sK10_Xp @ SV2 @ SV10 ) )
        = $false )
      | ( ( sK10_Xp @ SV2 @ SV10 )
        = $false )
      | ( ( SV3 @ SV7 )
        = $false )
      | ( ( SV3 @ ( sK12_Xx0 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ SV2 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[117]) ).

thf(126,plain,
    ! [SV14: a,SV2: a,SV18: a,SV3: a > $o] :
      ( ( ( ( SV3 @ SV18 )
          = ( sK10_Xp @ SV2 @ SV18 ) )
        = $true )
      | ( ( SV3 @ SV14 )
        = $false )
      | ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $false )
      | ( ( SV3 @ SV2 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[118]) ).

thf(127,plain,
    ! [SV11: a,SV2: a,SV16: a,SV3: a > $o] :
      ( ( ( ~ ( ( SV3 @ SV16 )
              | ( sK10_Xp @ SV2 @ SV16 ) ) )
        = $true )
      | ( ( ~ ( ~ ( SV3 @ SV16 )
              | ~ ( sK10_Xp @ SV2 @ SV16 ) ) )
        = $true )
      | ( ( SV3 @ SV11 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ SV2 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[120]) ).

thf(128,plain,
    ! [SV2: a,SV7: a,SV10: a,SV3: a > $o] :
      ( ( ( SV3 @ SV10 )
        = $true )
      | ( ( SV3 @ SV10 )
        = $false )
      | ( ( SV3 @ SV7 )
        = $false )
      | ( ( SV3 @ ( sK12_Xx0 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ SV2 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[122]) ).

thf(129,plain,
    ! [SV7: a,SV3: a > $o,SV10: a,SV2: a] :
      ( ( ( sK10_Xp @ SV2 @ SV10 )
        = $true )
      | ( ( SV3 @ SV10 )
        = $false )
      | ( ( SV3 @ SV7 )
        = $false )
      | ( ( SV3 @ ( sK12_Xx0 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ SV2 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[123]) ).

thf(130,plain,
    ! [SV7: a,SV2: a,SV10: a,SV3: a > $o] :
      ( ( ( SV3 @ SV10 )
        = $true )
      | ( ( sK10_Xp @ SV2 @ SV10 )
        = $false )
      | ( ( SV3 @ SV7 )
        = $false )
      | ( ( SV3 @ ( sK12_Xx0 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ SV2 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[124]) ).

thf(131,plain,
    ! [SV7: a,SV3: a > $o,SV10: a,SV2: a] :
      ( ( ( sK10_Xp @ SV2 @ SV10 )
        = $true )
      | ( ( sK10_Xp @ SV2 @ SV10 )
        = $false )
      | ( ( SV3 @ SV7 )
        = $false )
      | ( ( SV3 @ ( sK12_Xx0 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ SV2 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[125]) ).

thf(132,plain,
    ! [SV14: a,SV2: a,SV18: a,SV3: a > $o] :
      ( ( ( ~ ( ( SV3 @ SV18 )
              | ( sK10_Xp @ SV2 @ SV18 ) )
          | ~ ( ~ ( SV3 @ SV18 )
              | ~ ( sK10_Xp @ SV2 @ SV18 ) ) )
        = $true )
      | ( ( SV3 @ SV14 )
        = $false )
      | ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $false )
      | ( ( SV3 @ SV2 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[126]) ).

thf(133,plain,
    ! [SV14: a,SV2: a,SV18: a,SV3: a > $o] :
      ( ( ( ( SV3 @ SV18 )
          = ( sK10_Xp @ SV2 @ SV18 ) )
        = $true )
      | ( ( SV3 @ SV14 )
        = $false )
      | ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $false )
      | ( ( SV3 @ SV2 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[126]) ).

thf(134,plain,
    ! [SV11: a,SV2: a,SV16: a,SV3: a > $o] :
      ( ( ( ( SV3 @ SV16 )
          | ( sK10_Xp @ SV2 @ SV16 ) )
        = $false )
      | ( ( ~ ( ~ ( SV3 @ SV16 )
              | ~ ( sK10_Xp @ SV2 @ SV16 ) ) )
        = $true )
      | ( ( SV3 @ SV11 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ SV2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[127]) ).

thf(135,plain,
    ! [SV14: a,SV2: a,SV18: a,SV3: a > $o] :
      ( ( ( ~ ( ( SV3 @ SV18 )
              | ( sK10_Xp @ SV2 @ SV18 ) ) )
        = $true )
      | ( ( ~ ( ~ ( SV3 @ SV18 )
              | ~ ( sK10_Xp @ SV2 @ SV18 ) ) )
        = $true )
      | ( ( SV3 @ SV14 )
        = $false )
      | ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $false )
      | ( ( SV3 @ SV2 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[132]) ).

thf(136,plain,
    ! [SV11: a,SV2: a,SV16: a,SV3: a > $o] :
      ( ( ( SV3 @ SV16 )
        = $false )
      | ( ( ~ ( ~ ( SV3 @ SV16 )
              | ~ ( sK10_Xp @ SV2 @ SV16 ) ) )
        = $true )
      | ( ( SV3 @ SV11 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ SV2 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[134]) ).

thf(137,plain,
    ! [SV11: a,SV3: a > $o,SV16: a,SV2: a] :
      ( ( ( sK10_Xp @ SV2 @ SV16 )
        = $false )
      | ( ( ~ ( ~ ( SV3 @ SV16 )
              | ~ ( sK10_Xp @ SV2 @ SV16 ) ) )
        = $true )
      | ( ( SV3 @ SV11 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ SV2 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[134]) ).

thf(138,plain,
    ! [SV14: a,SV2: a,SV18: a,SV3: a > $o] :
      ( ( ( ( SV3 @ SV18 )
          | ( sK10_Xp @ SV2 @ SV18 ) )
        = $false )
      | ( ( ~ ( ~ ( SV3 @ SV18 )
              | ~ ( sK10_Xp @ SV2 @ SV18 ) ) )
        = $true )
      | ( ( SV3 @ SV14 )
        = $false )
      | ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $false )
      | ( ( SV3 @ SV2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[135]) ).

thf(139,plain,
    ! [SV11: a,SV2: a,SV16: a,SV3: a > $o] :
      ( ( ( ~ ( SV3 @ SV16 )
          | ~ ( sK10_Xp @ SV2 @ SV16 ) )
        = $false )
      | ( ( SV3 @ SV16 )
        = $false )
      | ( ( SV3 @ SV11 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ SV2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[136]) ).

thf(140,plain,
    ! [SV11: a,SV2: a,SV16: a,SV3: a > $o] :
      ( ( ( ~ ( SV3 @ SV16 )
          | ~ ( sK10_Xp @ SV2 @ SV16 ) )
        = $false )
      | ( ( sK10_Xp @ SV2 @ SV16 )
        = $false )
      | ( ( SV3 @ SV11 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ SV2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[137]) ).

thf(141,plain,
    ! [SV14: a,SV2: a,SV18: a,SV3: a > $o] :
      ( ( ( SV3 @ SV18 )
        = $false )
      | ( ( ~ ( ~ ( SV3 @ SV18 )
              | ~ ( sK10_Xp @ SV2 @ SV18 ) ) )
        = $true )
      | ( ( SV3 @ SV14 )
        = $false )
      | ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $false )
      | ( ( SV3 @ SV2 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[138]) ).

thf(142,plain,
    ! [SV14: a,SV3: a > $o,SV18: a,SV2: a] :
      ( ( ( sK10_Xp @ SV2 @ SV18 )
        = $false )
      | ( ( ~ ( ~ ( SV3 @ SV18 )
              | ~ ( sK10_Xp @ SV2 @ SV18 ) ) )
        = $true )
      | ( ( SV3 @ SV14 )
        = $false )
      | ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $false )
      | ( ( SV3 @ SV2 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[138]) ).

thf(143,plain,
    ! [SV2: a,SV11: a,SV16: a,SV3: a > $o] :
      ( ( ( ~ ( SV3 @ SV16 ) )
        = $false )
      | ( ( SV3 @ SV16 )
        = $false )
      | ( ( SV3 @ SV11 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ SV2 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[139]) ).

thf(144,plain,
    ! [SV11: a,SV3: a > $o,SV16: a,SV2: a] :
      ( ( ( ~ ( sK10_Xp @ SV2 @ SV16 ) )
        = $false )
      | ( ( SV3 @ SV16 )
        = $false )
      | ( ( SV3 @ SV11 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ SV2 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[139]) ).

thf(145,plain,
    ! [SV11: a,SV2: a,SV16: a,SV3: a > $o] :
      ( ( ( ~ ( SV3 @ SV16 ) )
        = $false )
      | ( ( sK10_Xp @ SV2 @ SV16 )
        = $false )
      | ( ( SV3 @ SV11 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ SV2 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[140]) ).

thf(146,plain,
    ! [SV11: a,SV3: a > $o,SV16: a,SV2: a] :
      ( ( ( ~ ( sK10_Xp @ SV2 @ SV16 ) )
        = $false )
      | ( ( sK10_Xp @ SV2 @ SV16 )
        = $false )
      | ( ( SV3 @ SV11 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ SV2 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[140]) ).

thf(147,plain,
    ! [SV14: a,SV2: a,SV18: a,SV3: a > $o] :
      ( ( ( ~ ( SV3 @ SV18 )
          | ~ ( sK10_Xp @ SV2 @ SV18 ) )
        = $false )
      | ( ( SV3 @ SV18 )
        = $false )
      | ( ( SV3 @ SV14 )
        = $false )
      | ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $false )
      | ( ( SV3 @ SV2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[141]) ).

thf(148,plain,
    ! [SV14: a,SV2: a,SV18: a,SV3: a > $o] :
      ( ( ( ~ ( SV3 @ SV18 )
          | ~ ( sK10_Xp @ SV2 @ SV18 ) )
        = $false )
      | ( ( sK10_Xp @ SV2 @ SV18 )
        = $false )
      | ( ( SV3 @ SV14 )
        = $false )
      | ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $false )
      | ( ( SV3 @ SV2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[142]) ).

thf(149,plain,
    ! [SV2: a,SV11: a,SV16: a,SV3: a > $o] :
      ( ( ( SV3 @ SV16 )
        = $true )
      | ( ( SV3 @ SV16 )
        = $false )
      | ( ( SV3 @ SV11 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ SV2 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[143]) ).

thf(150,plain,
    ! [SV11: a,SV3: a > $o,SV16: a,SV2: a] :
      ( ( ( sK10_Xp @ SV2 @ SV16 )
        = $true )
      | ( ( SV3 @ SV16 )
        = $false )
      | ( ( SV3 @ SV11 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ SV2 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[144]) ).

thf(151,plain,
    ! [SV11: a,SV2: a,SV16: a,SV3: a > $o] :
      ( ( ( SV3 @ SV16 )
        = $true )
      | ( ( sK10_Xp @ SV2 @ SV16 )
        = $false )
      | ( ( SV3 @ SV11 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ SV2 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[145]) ).

thf(152,plain,
    ! [SV11: a,SV3: a > $o,SV16: a,SV2: a] :
      ( ( ( sK10_Xp @ SV2 @ SV16 )
        = $true )
      | ( ( sK10_Xp @ SV2 @ SV16 )
        = $false )
      | ( ( SV3 @ SV11 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $true )
      | ( ( SV3 @ SV2 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[146]) ).

thf(153,plain,
    ! [SV2: a,SV14: a,SV18: a,SV3: a > $o] :
      ( ( ( ~ ( SV3 @ SV18 ) )
        = $false )
      | ( ( SV3 @ SV18 )
        = $false )
      | ( ( SV3 @ SV14 )
        = $false )
      | ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $false )
      | ( ( SV3 @ SV2 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[147]) ).

thf(154,plain,
    ! [SV14: a,SV3: a > $o,SV18: a,SV2: a] :
      ( ( ( ~ ( sK10_Xp @ SV2 @ SV18 ) )
        = $false )
      | ( ( SV3 @ SV18 )
        = $false )
      | ( ( SV3 @ SV14 )
        = $false )
      | ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $false )
      | ( ( SV3 @ SV2 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[147]) ).

thf(155,plain,
    ! [SV14: a,SV2: a,SV18: a,SV3: a > $o] :
      ( ( ( ~ ( SV3 @ SV18 ) )
        = $false )
      | ( ( sK10_Xp @ SV2 @ SV18 )
        = $false )
      | ( ( SV3 @ SV14 )
        = $false )
      | ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $false )
      | ( ( SV3 @ SV2 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[148]) ).

thf(156,plain,
    ! [SV14: a,SV3: a > $o,SV18: a,SV2: a] :
      ( ( ( ~ ( sK10_Xp @ SV2 @ SV18 ) )
        = $false )
      | ( ( sK10_Xp @ SV2 @ SV18 )
        = $false )
      | ( ( SV3 @ SV14 )
        = $false )
      | ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $false )
      | ( ( SV3 @ SV2 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[148]) ).

thf(157,plain,
    ! [SV2: a,SV14: a,SV18: a,SV3: a > $o] :
      ( ( ( SV3 @ SV18 )
        = $true )
      | ( ( SV3 @ SV18 )
        = $false )
      | ( ( SV3 @ SV14 )
        = $false )
      | ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $false )
      | ( ( SV3 @ SV2 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[153]) ).

thf(158,plain,
    ! [SV14: a,SV3: a > $o,SV18: a,SV2: a] :
      ( ( ( sK10_Xp @ SV2 @ SV18 )
        = $true )
      | ( ( SV3 @ SV18 )
        = $false )
      | ( ( SV3 @ SV14 )
        = $false )
      | ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $false )
      | ( ( SV3 @ SV2 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[154]) ).

thf(159,plain,
    ! [SV14: a,SV2: a,SV18: a,SV3: a > $o] :
      ( ( ( SV3 @ SV18 )
        = $true )
      | ( ( sK10_Xp @ SV2 @ SV18 )
        = $false )
      | ( ( SV3 @ SV14 )
        = $false )
      | ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $false )
      | ( ( SV3 @ SV2 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[155]) ).

thf(160,plain,
    ! [SV14: a,SV3: a > $o,SV18: a,SV2: a] :
      ( ( ( sK10_Xp @ SV2 @ SV18 )
        = $true )
      | ( ( sK10_Xp @ SV2 @ SV18 )
        = $false )
      | ( ( SV3 @ SV14 )
        = $false )
      | ( ( SV3 @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV3 @ SV2 ) @ ( sK13_SY33 @ SV3 @ SV2 ) )
        = $false )
      | ( ( SV3 @ SV2 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[156]) ).

thf(161,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[23,160,159,158,157,152,151,150,149,133,131,130,129,128,121,119,111,110,109,96,85,79,70,63,48,47]) ).

thf(162,plain,
    ( ( ! [Xx: a] :
          ( ! [SY25: a > $o] :
              ( ( ( SY25 @ ( sK12_Xx0 @ SY25 @ Xx ) )
                & ( ~ ( SY25 @ ( sK13_SY33 @ SY25 @ Xx ) )
                  | ~ ( cQ @ ( sK12_Xx0 @ SY25 @ Xx ) @ ( sK13_SY33 @ SY25 @ Xx ) ) )
                & ( ( SY25 @ ( sK13_SY33 @ SY25 @ Xx ) )
                  | ( cQ @ ( sK12_Xx0 @ SY25 @ Xx ) @ ( sK13_SY33 @ SY25 @ Xx ) ) ) )
              | ! [Xz: a] :
                  ~ ( SY25 @ Xz )
              | ~ ( SY25 @ Xx )
              | ( SY25
                = ( sK10_Xp @ Xx ) ) )
          & ! [SY29: a] :
              ( ~ ( sK10_Xp @ Xx @ SY29 )
              | ( ! [SY30: a] :
                    ( ~ ( sK10_Xp @ Xx @ SY30 )
                    | ( cQ @ SY29 @ SY30 ) )
                & ! [SY31: a] :
                    ( ~ ( cQ @ SY29 @ SY31 )
                    | ( sK10_Xp @ Xx @ SY31 ) ) ) )
          & ( sK10_Xp @ Xx @ ( sK11_SY32 @ Xx ) )
          & ( sK10_Xp @ Xx @ Xx ) ) )
    = $true ),
    inference(copy,[status(thm)],[17]) ).

thf(163,plain,
    ( ( ! [Xp: a > $o] :
          ( ( ( Xp @ ( sK8_Xx @ Xp ) )
            & ( ~ ( Xp @ ( sK9_SY24 @ Xp ) )
              | ~ ( cQ @ ( sK8_Xx @ Xp ) @ ( sK9_SY24 @ Xp ) ) )
            & ( ( Xp @ ( sK9_SY24 @ Xp ) )
              | ( cQ @ ( sK8_Xx @ Xp ) @ ( sK9_SY24 @ Xp ) ) ) )
          | ! [Xz: a] :
              ~ ( Xp @ Xz )
          | ( Xp @ ( sK7_Xz @ Xp ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[16]) ).

thf(164,plain,
    ( ( ( cQ @ sK2_Xx @ sK3_SY20 )
      & ~ ( cQ @ sK3_SY20 @ sK2_Xx ) )
    = $true ),
    inference(copy,[status(thm)],[14]) ).

thf(165,plain,
    ( ( ! [SX0: a > $o] :
          ( ~ ( ~ ( SX0 @ ( sK8_Xx @ SX0 ) )
              | ~ ~ ( ~ ( ~ ( SX0 @ ( sK9_SY24 @ SX0 ) )
                        | ~ ( cQ @ ( sK8_Xx @ SX0 ) @ ( sK9_SY24 @ SX0 ) ) )
                    | ~ ( ( SX0 @ ( sK9_SY24 @ SX0 ) )
                        | ( cQ @ ( sK8_Xx @ SX0 ) @ ( sK9_SY24 @ SX0 ) ) ) ) )
          | ! [SX1: a] :
              ~ ( SX0 @ SX1 )
          | ( SX0 @ ( sK7_Xz @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[163]) ).

thf(166,plain,
    ( ( ~ ( ~ ( cQ @ sK2_Xx @ sK3_SY20 )
          | ~ ~ ( cQ @ sK3_SY20 @ sK2_Xx ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[164]) ).

thf(167,plain,
    ( ( ! [SX0: a] :
          ~ ( ~ ! [SX1: a > $o] :
                  ( ~ ( ~ ( SX1 @ ( sK12_Xx0 @ SX1 @ SX0 ) )
                      | ~ ~ ( ~ ( ~ ( SX1 @ ( sK13_SY33 @ SX1 @ SX0 ) )
                                | ~ ( cQ @ ( sK12_Xx0 @ SX1 @ SX0 ) @ ( sK13_SY33 @ SX1 @ SX0 ) ) )
                            | ~ ( ( SX1 @ ( sK13_SY33 @ SX1 @ SX0 ) )
                                | ( cQ @ ( sK12_Xx0 @ SX1 @ SX0 ) @ ( sK13_SY33 @ SX1 @ SX0 ) ) ) ) )
                  | ! [SX2: a] :
                      ~ ( SX1 @ SX2 )
                  | ~ ( SX1 @ SX0 )
                  | ( SX1
                    = ( sK10_Xp @ SX0 ) ) )
            | ~ ~ ( ~ ~ ( ~ ! [SX1: a] :
                              ( ~ ( sK10_Xp @ SX0 @ SX1 )
                              | ~ ( ~ ! [SX2: a] :
                                        ( ~ ( sK10_Xp @ SX0 @ SX2 )
                                        | ( cQ @ SX1 @ SX2 ) )
                                  | ~ ! [SX2: a] :
                                        ( ~ ( cQ @ SX1 @ SX2 )
                                        | ( sK10_Xp @ SX0 @ SX2 ) ) ) )
                        | ~ ( sK10_Xp @ SX0 @ ( sK11_SY32 @ SX0 ) ) )
                  | ~ ( sK10_Xp @ SX0 @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[162]) ).

thf(168,plain,
    ! [SV19: a > $o] :
      ( ( ~ ( ~ ( SV19 @ ( sK8_Xx @ SV19 ) )
            | ~ ~ ( ~ ( ~ ( SV19 @ ( sK9_SY24 @ SV19 ) )
                      | ~ ( cQ @ ( sK8_Xx @ SV19 ) @ ( sK9_SY24 @ SV19 ) ) )
                  | ~ ( ( SV19 @ ( sK9_SY24 @ SV19 ) )
                      | ( cQ @ ( sK8_Xx @ SV19 ) @ ( sK9_SY24 @ SV19 ) ) ) ) )
        | ! [SY43: a] :
            ~ ( SV19 @ SY43 )
        | ( SV19 @ ( sK7_Xz @ SV19 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[165]) ).

thf(169,plain,
    ( ( ~ ( cQ @ sK2_Xx @ sK3_SY20 )
      | ~ ~ ( cQ @ sK3_SY20 @ sK2_Xx ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[166]) ).

thf(170,plain,
    ! [SV20: a] :
      ( ( ~ ( ~ ! [SY44: a > $o] :
                  ( ~ ( ~ ( SY44 @ ( sK12_Xx0 @ SY44 @ SV20 ) )
                      | ~ ~ ( ~ ( ~ ( SY44 @ ( sK13_SY33 @ SY44 @ SV20 ) )
                                | ~ ( cQ @ ( sK12_Xx0 @ SY44 @ SV20 ) @ ( sK13_SY33 @ SY44 @ SV20 ) ) )
                            | ~ ( ( SY44 @ ( sK13_SY33 @ SY44 @ SV20 ) )
                                | ( cQ @ ( sK12_Xx0 @ SY44 @ SV20 ) @ ( sK13_SY33 @ SY44 @ SV20 ) ) ) ) )
                  | ! [SX2: a] :
                      ~ ( SY44 @ SX2 )
                  | ~ ( SY44 @ SV20 )
                  | ( SY44
                    = ( sK10_Xp @ SV20 ) ) )
            | ~ ~ ( ~ ~ ( ~ ! [SY46: a] :
                              ( ~ ( sK10_Xp @ SV20 @ SY46 )
                              | ~ ( ~ ! [SY47: a] :
                                        ( ~ ( sK10_Xp @ SV20 @ SY47 )
                                        | ( cQ @ SY46 @ SY47 ) )
                                  | ~ ! [SY48: a] :
                                        ( ~ ( cQ @ SY46 @ SY48 )
                                        | ( sK10_Xp @ SV20 @ SY48 ) ) ) )
                        | ~ ( sK10_Xp @ SV20 @ ( sK11_SY32 @ SV20 ) ) )
                  | ~ ( sK10_Xp @ SV20 @ SV20 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[167]) ).

thf(171,plain,
    ! [SV19: a > $o] :
      ( ( ( ~ ( ~ ( SV19 @ ( sK8_Xx @ SV19 ) )
              | ~ ~ ( ~ ( ~ ( SV19 @ ( sK9_SY24 @ SV19 ) )
                        | ~ ( cQ @ ( sK8_Xx @ SV19 ) @ ( sK9_SY24 @ SV19 ) ) )
                    | ~ ( ( SV19 @ ( sK9_SY24 @ SV19 ) )
                        | ( cQ @ ( sK8_Xx @ SV19 ) @ ( sK9_SY24 @ SV19 ) ) ) ) )
          | ! [SY43: a] :
              ~ ( SV19 @ SY43 ) )
        = $true )
      | ( ( SV19 @ ( sK7_Xz @ SV19 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[168]) ).

thf(172,plain,
    ( ( ~ ( cQ @ sK2_Xx @ sK3_SY20 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[169]) ).

thf(173,plain,
    ( ( ~ ~ ( cQ @ sK3_SY20 @ sK2_Xx ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[169]) ).

thf(174,plain,
    ! [SV20: a] :
      ( ( ~ ! [SY44: a > $o] :
              ( ~ ( ~ ( SY44 @ ( sK12_Xx0 @ SY44 @ SV20 ) )
                  | ~ ~ ( ~ ( ~ ( SY44 @ ( sK13_SY33 @ SY44 @ SV20 ) )
                            | ~ ( cQ @ ( sK12_Xx0 @ SY44 @ SV20 ) @ ( sK13_SY33 @ SY44 @ SV20 ) ) )
                        | ~ ( ( SY44 @ ( sK13_SY33 @ SY44 @ SV20 ) )
                            | ( cQ @ ( sK12_Xx0 @ SY44 @ SV20 ) @ ( sK13_SY33 @ SY44 @ SV20 ) ) ) ) )
              | ! [SX2: a] :
                  ~ ( SY44 @ SX2 )
              | ~ ( SY44 @ SV20 )
              | ( SY44
                = ( sK10_Xp @ SV20 ) ) )
        | ~ ~ ( ~ ~ ( ~ ! [SY46: a] :
                          ( ~ ( sK10_Xp @ SV20 @ SY46 )
                          | ~ ( ~ ! [SY47: a] :
                                    ( ~ ( sK10_Xp @ SV20 @ SY47 )
                                    | ( cQ @ SY46 @ SY47 ) )
                              | ~ ! [SY48: a] :
                                    ( ~ ( cQ @ SY46 @ SY48 )
                                    | ( sK10_Xp @ SV20 @ SY48 ) ) ) )
                    | ~ ( sK10_Xp @ SV20 @ ( sK11_SY32 @ SV20 ) ) )
              | ~ ( sK10_Xp @ SV20 @ SV20 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[170]) ).

thf(175,plain,
    ! [SV19: a > $o] :
      ( ( ( ~ ( ~ ( SV19 @ ( sK8_Xx @ SV19 ) )
              | ~ ~ ( ~ ( ~ ( SV19 @ ( sK9_SY24 @ SV19 ) )
                        | ~ ( cQ @ ( sK8_Xx @ SV19 ) @ ( sK9_SY24 @ SV19 ) ) )
                    | ~ ( ( SV19 @ ( sK9_SY24 @ SV19 ) )
                        | ( cQ @ ( sK8_Xx @ SV19 ) @ ( sK9_SY24 @ SV19 ) ) ) ) ) )
        = $true )
      | ( ( ! [SY43: a] :
              ~ ( SV19 @ SY43 ) )
        = $true )
      | ( ( SV19 @ ( sK7_Xz @ SV19 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[171]) ).

thf(176,plain,
    ( ( cQ @ sK2_Xx @ sK3_SY20 )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[172]) ).

thf(177,plain,
    ( ( ~ ( cQ @ sK3_SY20 @ sK2_Xx ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[173]) ).

thf(178,plain,
    ! [SV20: a] :
      ( ( ~ ! [SY44: a > $o] :
              ( ~ ( ~ ( SY44 @ ( sK12_Xx0 @ SY44 @ SV20 ) )
                  | ~ ~ ( ~ ( ~ ( SY44 @ ( sK13_SY33 @ SY44 @ SV20 ) )
                            | ~ ( cQ @ ( sK12_Xx0 @ SY44 @ SV20 ) @ ( sK13_SY33 @ SY44 @ SV20 ) ) )
                        | ~ ( ( SY44 @ ( sK13_SY33 @ SY44 @ SV20 ) )
                            | ( cQ @ ( sK12_Xx0 @ SY44 @ SV20 ) @ ( sK13_SY33 @ SY44 @ SV20 ) ) ) ) )
              | ! [SX2: a] :
                  ~ ( SY44 @ SX2 )
              | ~ ( SY44 @ SV20 )
              | ( SY44
                = ( sK10_Xp @ SV20 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[174]) ).

thf(179,plain,
    ! [SV20: a] :
      ( ( ~ ~ ( ~ ~ ( ~ ! [SY46: a] :
                          ( ~ ( sK10_Xp @ SV20 @ SY46 )
                          | ~ ( ~ ! [SY47: a] :
                                    ( ~ ( sK10_Xp @ SV20 @ SY47 )
                                    | ( cQ @ SY46 @ SY47 ) )
                              | ~ ! [SY48: a] :
                                    ( ~ ( cQ @ SY46 @ SY48 )
                                    | ( sK10_Xp @ SV20 @ SY48 ) ) ) )
                    | ~ ( sK10_Xp @ SV20 @ ( sK11_SY32 @ SV20 ) ) )
              | ~ ( sK10_Xp @ SV20 @ SV20 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[174]) ).

thf(180,plain,
    ! [SV19: a > $o] :
      ( ( ( ~ ( SV19 @ ( sK8_Xx @ SV19 ) )
          | ~ ~ ( ~ ( ~ ( SV19 @ ( sK9_SY24 @ SV19 ) )
                    | ~ ( cQ @ ( sK8_Xx @ SV19 ) @ ( sK9_SY24 @ SV19 ) ) )
                | ~ ( ( SV19 @ ( sK9_SY24 @ SV19 ) )
                    | ( cQ @ ( sK8_Xx @ SV19 ) @ ( sK9_SY24 @ SV19 ) ) ) ) )
        = $false )
      | ( ( ! [SY43: a] :
              ~ ( SV19 @ SY43 ) )
        = $true )
      | ( ( SV19 @ ( sK7_Xz @ SV19 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[175]) ).

thf(181,plain,
    ( ( cQ @ sK3_SY20 @ sK2_Xx )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[177]) ).

thf(182,plain,
    ! [SV20: a] :
      ( ( ! [SY44: a > $o] :
            ( ~ ( ~ ( SY44 @ ( sK12_Xx0 @ SY44 @ SV20 ) )
                | ~ ~ ( ~ ( ~ ( SY44 @ ( sK13_SY33 @ SY44 @ SV20 ) )
                          | ~ ( cQ @ ( sK12_Xx0 @ SY44 @ SV20 ) @ ( sK13_SY33 @ SY44 @ SV20 ) ) )
                      | ~ ( ( SY44 @ ( sK13_SY33 @ SY44 @ SV20 ) )
                          | ( cQ @ ( sK12_Xx0 @ SY44 @ SV20 ) @ ( sK13_SY33 @ SY44 @ SV20 ) ) ) ) )
            | ! [SX2: a] :
                ~ ( SY44 @ SX2 )
            | ~ ( SY44 @ SV20 )
            | ( SY44
              = ( sK10_Xp @ SV20 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[178]) ).

thf(183,plain,
    ! [SV20: a] :
      ( ( ~ ( ~ ~ ( ~ ! [SY46: a] :
                        ( ~ ( sK10_Xp @ SV20 @ SY46 )
                        | ~ ( ~ ! [SY47: a] :
                                  ( ~ ( sK10_Xp @ SV20 @ SY47 )
                                  | ( cQ @ SY46 @ SY47 ) )
                            | ~ ! [SY48: a] :
                                  ( ~ ( cQ @ SY46 @ SY48 )
                                  | ( sK10_Xp @ SV20 @ SY48 ) ) ) )
                  | ~ ( sK10_Xp @ SV20 @ ( sK11_SY32 @ SV20 ) ) )
            | ~ ( sK10_Xp @ SV20 @ SV20 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[179]) ).

thf(184,plain,
    ! [SV19: a > $o] :
      ( ( ( ~ ( SV19 @ ( sK8_Xx @ SV19 ) ) )
        = $false )
      | ( ( ! [SY43: a] :
              ~ ( SV19 @ SY43 ) )
        = $true )
      | ( ( SV19 @ ( sK7_Xz @ SV19 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[180]) ).

thf(185,plain,
    ! [SV19: a > $o] :
      ( ( ( ~ ~ ( ~ ( ~ ( SV19 @ ( sK9_SY24 @ SV19 ) )
                    | ~ ( cQ @ ( sK8_Xx @ SV19 ) @ ( sK9_SY24 @ SV19 ) ) )
                | ~ ( ( SV19 @ ( sK9_SY24 @ SV19 ) )
                    | ( cQ @ ( sK8_Xx @ SV19 ) @ ( sK9_SY24 @ SV19 ) ) ) ) )
        = $false )
      | ( ( ! [SY43: a] :
              ~ ( SV19 @ SY43 ) )
        = $true )
      | ( ( SV19 @ ( sK7_Xz @ SV19 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[180]) ).

thf(186,plain,
    ! [SV20: a,SV21: a > $o] :
      ( ( ~ ( ~ ( SV21 @ ( sK12_Xx0 @ SV21 @ SV20 ) )
            | ~ ~ ( ~ ( ~ ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
                      | ~ ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) ) )
                  | ~ ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
                      | ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) ) ) ) )
        | ! [SY49: a] :
            ~ ( SV21 @ SY49 )
        | ~ ( SV21 @ SV20 )
        | ( SV21
          = ( sK10_Xp @ SV20 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[182]) ).

thf(187,plain,
    ! [SV20: a] :
      ( ( ~ ~ ( ~ ! [SY46: a] :
                    ( ~ ( sK10_Xp @ SV20 @ SY46 )
                    | ~ ( ~ ! [SY47: a] :
                              ( ~ ( sK10_Xp @ SV20 @ SY47 )
                              | ( cQ @ SY46 @ SY47 ) )
                        | ~ ! [SY48: a] :
                              ( ~ ( cQ @ SY46 @ SY48 )
                              | ( sK10_Xp @ SV20 @ SY48 ) ) ) )
              | ~ ( sK10_Xp @ SV20 @ ( sK11_SY32 @ SV20 ) ) )
        | ~ ( sK10_Xp @ SV20 @ SV20 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[183]) ).

thf(188,plain,
    ! [SV19: a > $o] :
      ( ( ( SV19 @ ( sK8_Xx @ SV19 ) )
        = $true )
      | ( ( ! [SY43: a] :
              ~ ( SV19 @ SY43 ) )
        = $true )
      | ( ( SV19 @ ( sK7_Xz @ SV19 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[184]) ).

thf(189,plain,
    ! [SV19: a > $o] :
      ( ( ( ~ ( ~ ( ~ ( SV19 @ ( sK9_SY24 @ SV19 ) )
                  | ~ ( cQ @ ( sK8_Xx @ SV19 ) @ ( sK9_SY24 @ SV19 ) ) )
              | ~ ( ( SV19 @ ( sK9_SY24 @ SV19 ) )
                  | ( cQ @ ( sK8_Xx @ SV19 ) @ ( sK9_SY24 @ SV19 ) ) ) ) )
        = $true )
      | ( ( ! [SY43: a] :
              ~ ( SV19 @ SY43 ) )
        = $true )
      | ( ( SV19 @ ( sK7_Xz @ SV19 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[185]) ).

thf(190,plain,
    ! [SV20: a,SV21: a > $o] :
      ( ( ( ~ ( ~ ( SV21 @ ( sK12_Xx0 @ SV21 @ SV20 ) )
              | ~ ~ ( ~ ( ~ ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
                        | ~ ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) ) )
                    | ~ ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
                        | ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) ) ) ) )
          | ! [SY49: a] :
              ~ ( SV21 @ SY49 )
          | ~ ( SV21 @ SV20 ) )
        = $true )
      | ( ( SV21
          = ( sK10_Xp @ SV20 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[186]) ).

thf(191,plain,
    ! [SV20: a] :
      ( ( ~ ~ ( ~ ! [SY46: a] :
                    ( ~ ( sK10_Xp @ SV20 @ SY46 )
                    | ~ ( ~ ! [SY47: a] :
                              ( ~ ( sK10_Xp @ SV20 @ SY47 )
                              | ( cQ @ SY46 @ SY47 ) )
                        | ~ ! [SY48: a] :
                              ( ~ ( cQ @ SY46 @ SY48 )
                              | ( sK10_Xp @ SV20 @ SY48 ) ) ) )
              | ~ ( sK10_Xp @ SV20 @ ( sK11_SY32 @ SV20 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[187]) ).

thf(192,plain,
    ! [SV20: a] :
      ( ( ~ ( sK10_Xp @ SV20 @ SV20 ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[187]) ).

thf(193,plain,
    ! [SV22: a,SV19: a > $o] :
      ( ( ( ~ ( SV19 @ SV22 ) )
        = $true )
      | ( ( SV19 @ ( sK8_Xx @ SV19 ) )
        = $true )
      | ( ( SV19 @ ( sK7_Xz @ SV19 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[188]) ).

thf(194,plain,
    ! [SV19: a > $o] :
      ( ( ( ~ ( ~ ( SV19 @ ( sK9_SY24 @ SV19 ) )
              | ~ ( cQ @ ( sK8_Xx @ SV19 ) @ ( sK9_SY24 @ SV19 ) ) )
          | ~ ( ( SV19 @ ( sK9_SY24 @ SV19 ) )
              | ( cQ @ ( sK8_Xx @ SV19 ) @ ( sK9_SY24 @ SV19 ) ) ) )
        = $false )
      | ( ( ! [SY43: a] :
              ~ ( SV19 @ SY43 ) )
        = $true )
      | ( ( SV19 @ ( sK7_Xz @ SV19 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[189]) ).

thf(195,plain,
    ! [SV20: a,SV21: a > $o] :
      ( ( ( ~ ( ~ ( SV21 @ ( sK12_Xx0 @ SV21 @ SV20 ) )
              | ~ ~ ( ~ ( ~ ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
                        | ~ ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) ) )
                    | ~ ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
                        | ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) ) ) ) )
          | ! [SY49: a] :
              ~ ( SV21 @ SY49 ) )
        = $true )
      | ( ( ~ ( SV21 @ SV20 ) )
        = $true )
      | ( ( SV21
          = ( sK10_Xp @ SV20 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[190]) ).

thf(196,plain,
    ! [SV20: a] :
      ( ( ~ ( ~ ! [SY46: a] :
                  ( ~ ( sK10_Xp @ SV20 @ SY46 )
                  | ~ ( ~ ! [SY47: a] :
                            ( ~ ( sK10_Xp @ SV20 @ SY47 )
                            | ( cQ @ SY46 @ SY47 ) )
                      | ~ ! [SY48: a] :
                            ( ~ ( cQ @ SY46 @ SY48 )
                            | ( sK10_Xp @ SV20 @ SY48 ) ) ) )
            | ~ ( sK10_Xp @ SV20 @ ( sK11_SY32 @ SV20 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[191]) ).

thf(197,plain,
    ! [SV20: a] :
      ( ( sK10_Xp @ SV20 @ SV20 )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[192]) ).

thf(198,plain,
    ! [SV22: a,SV19: a > $o] :
      ( ( ( SV19 @ SV22 )
        = $false )
      | ( ( SV19 @ ( sK8_Xx @ SV19 ) )
        = $true )
      | ( ( SV19 @ ( sK7_Xz @ SV19 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[193]) ).

thf(199,plain,
    ! [SV19: a > $o] :
      ( ( ( ~ ( ~ ( SV19 @ ( sK9_SY24 @ SV19 ) )
              | ~ ( cQ @ ( sK8_Xx @ SV19 ) @ ( sK9_SY24 @ SV19 ) ) ) )
        = $false )
      | ( ( ! [SY43: a] :
              ~ ( SV19 @ SY43 ) )
        = $true )
      | ( ( SV19 @ ( sK7_Xz @ SV19 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[194]) ).

thf(200,plain,
    ! [SV19: a > $o] :
      ( ( ( ~ ( ( SV19 @ ( sK9_SY24 @ SV19 ) )
              | ( cQ @ ( sK8_Xx @ SV19 ) @ ( sK9_SY24 @ SV19 ) ) ) )
        = $false )
      | ( ( ! [SY43: a] :
              ~ ( SV19 @ SY43 ) )
        = $true )
      | ( ( SV19 @ ( sK7_Xz @ SV19 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[194]) ).

thf(201,plain,
    ! [SV20: a,SV21: a > $o] :
      ( ( ( ~ ( ~ ( SV21 @ ( sK12_Xx0 @ SV21 @ SV20 ) )
              | ~ ~ ( ~ ( ~ ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
                        | ~ ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) ) )
                    | ~ ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
                        | ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) ) ) ) ) )
        = $true )
      | ( ( ! [SY49: a] :
              ~ ( SV21 @ SY49 ) )
        = $true )
      | ( ( ~ ( SV21 @ SV20 ) )
        = $true )
      | ( ( SV21
          = ( sK10_Xp @ SV20 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[195]) ).

thf(202,plain,
    ! [SV20: a] :
      ( ( ~ ! [SY46: a] :
              ( ~ ( sK10_Xp @ SV20 @ SY46 )
              | ~ ( ~ ! [SY47: a] :
                        ( ~ ( sK10_Xp @ SV20 @ SY47 )
                        | ( cQ @ SY46 @ SY47 ) )
                  | ~ ! [SY48: a] :
                        ( ~ ( cQ @ SY46 @ SY48 )
                        | ( sK10_Xp @ SV20 @ SY48 ) ) ) )
        | ~ ( sK10_Xp @ SV20 @ ( sK11_SY32 @ SV20 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[196]) ).

thf(203,plain,
    ! [SV19: a > $o] :
      ( ( ( ~ ( SV19 @ ( sK9_SY24 @ SV19 ) )
          | ~ ( cQ @ ( sK8_Xx @ SV19 ) @ ( sK9_SY24 @ SV19 ) ) )
        = $true )
      | ( ( ! [SY43: a] :
              ~ ( SV19 @ SY43 ) )
        = $true )
      | ( ( SV19 @ ( sK7_Xz @ SV19 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[199]) ).

thf(204,plain,
    ! [SV19: a > $o] :
      ( ( ( ( SV19 @ ( sK9_SY24 @ SV19 ) )
          | ( cQ @ ( sK8_Xx @ SV19 ) @ ( sK9_SY24 @ SV19 ) ) )
        = $true )
      | ( ( ! [SY43: a] :
              ~ ( SV19 @ SY43 ) )
        = $true )
      | ( ( SV19 @ ( sK7_Xz @ SV19 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[200]) ).

thf(205,plain,
    ! [SV20: a,SV21: a > $o] :
      ( ( ( ~ ( SV21 @ ( sK12_Xx0 @ SV21 @ SV20 ) )
          | ~ ~ ( ~ ( ~ ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
                    | ~ ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) ) )
                | ~ ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
                    | ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) ) ) ) )
        = $false )
      | ( ( ! [SY49: a] :
              ~ ( SV21 @ SY49 ) )
        = $true )
      | ( ( ~ ( SV21 @ SV20 ) )
        = $true )
      | ( ( SV21
          = ( sK10_Xp @ SV20 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[201]) ).

thf(206,plain,
    ! [SV20: a] :
      ( ( ~ ! [SY46: a] :
              ( ~ ( sK10_Xp @ SV20 @ SY46 )
              | ~ ( ~ ! [SY47: a] :
                        ( ~ ( sK10_Xp @ SV20 @ SY47 )
                        | ( cQ @ SY46 @ SY47 ) )
                  | ~ ! [SY48: a] :
                        ( ~ ( cQ @ SY46 @ SY48 )
                        | ( sK10_Xp @ SV20 @ SY48 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[202]) ).

thf(207,plain,
    ! [SV20: a] :
      ( ( ~ ( sK10_Xp @ SV20 @ ( sK11_SY32 @ SV20 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[202]) ).

thf(208,plain,
    ! [SV19: a > $o] :
      ( ( ( ~ ( SV19 @ ( sK9_SY24 @ SV19 ) ) )
        = $true )
      | ( ( ~ ( cQ @ ( sK8_Xx @ SV19 ) @ ( sK9_SY24 @ SV19 ) ) )
        = $true )
      | ( ( ! [SY43: a] :
              ~ ( SV19 @ SY43 ) )
        = $true )
      | ( ( SV19 @ ( sK7_Xz @ SV19 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[203]) ).

thf(209,plain,
    ! [SV19: a > $o] :
      ( ( ( SV19 @ ( sK9_SY24 @ SV19 ) )
        = $true )
      | ( ( cQ @ ( sK8_Xx @ SV19 ) @ ( sK9_SY24 @ SV19 ) )
        = $true )
      | ( ( ! [SY43: a] :
              ~ ( SV19 @ SY43 ) )
        = $true )
      | ( ( SV19 @ ( sK7_Xz @ SV19 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[204]) ).

thf(210,plain,
    ! [SV20: a,SV21: a > $o] :
      ( ( ( ~ ( SV21 @ ( sK12_Xx0 @ SV21 @ SV20 ) ) )
        = $false )
      | ( ( ! [SY49: a] :
              ~ ( SV21 @ SY49 ) )
        = $true )
      | ( ( ~ ( SV21 @ SV20 ) )
        = $true )
      | ( ( SV21
          = ( sK10_Xp @ SV20 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[205]) ).

thf(211,plain,
    ! [SV20: a,SV21: a > $o] :
      ( ( ( ~ ~ ( ~ ( ~ ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
                    | ~ ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) ) )
                | ~ ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
                    | ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) ) ) ) )
        = $false )
      | ( ( ! [SY49: a] :
              ~ ( SV21 @ SY49 ) )
        = $true )
      | ( ( ~ ( SV21 @ SV20 ) )
        = $true )
      | ( ( SV21
          = ( sK10_Xp @ SV20 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[205]) ).

thf(212,plain,
    ! [SV20: a] :
      ( ( ! [SY46: a] :
            ( ~ ( sK10_Xp @ SV20 @ SY46 )
            | ~ ( ~ ! [SY47: a] :
                      ( ~ ( sK10_Xp @ SV20 @ SY47 )
                      | ( cQ @ SY46 @ SY47 ) )
                | ~ ! [SY48: a] :
                      ( ~ ( cQ @ SY46 @ SY48 )
                      | ( sK10_Xp @ SV20 @ SY48 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[206]) ).

thf(213,plain,
    ! [SV20: a] :
      ( ( sK10_Xp @ SV20 @ ( sK11_SY32 @ SV20 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[207]) ).

thf(214,plain,
    ! [SV19: a > $o] :
      ( ( ( SV19 @ ( sK9_SY24 @ SV19 ) )
        = $false )
      | ( ( ~ ( cQ @ ( sK8_Xx @ SV19 ) @ ( sK9_SY24 @ SV19 ) ) )
        = $true )
      | ( ( ! [SY43: a] :
              ~ ( SV19 @ SY43 ) )
        = $true )
      | ( ( SV19 @ ( sK7_Xz @ SV19 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[208]) ).

thf(215,plain,
    ! [SV23: a,SV19: a > $o] :
      ( ( ( ~ ( SV19 @ SV23 ) )
        = $true )
      | ( ( cQ @ ( sK8_Xx @ SV19 ) @ ( sK9_SY24 @ SV19 ) )
        = $true )
      | ( ( SV19 @ ( sK9_SY24 @ SV19 ) )
        = $true )
      | ( ( SV19 @ ( sK7_Xz @ SV19 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[209]) ).

thf(216,plain,
    ! [SV20: a,SV21: a > $o] :
      ( ( ( SV21 @ ( sK12_Xx0 @ SV21 @ SV20 ) )
        = $true )
      | ( ( ! [SY49: a] :
              ~ ( SV21 @ SY49 ) )
        = $true )
      | ( ( ~ ( SV21 @ SV20 ) )
        = $true )
      | ( ( SV21
          = ( sK10_Xp @ SV20 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[210]) ).

thf(217,plain,
    ! [SV20: a,SV21: a > $o] :
      ( ( ( ~ ( ~ ( ~ ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
                  | ~ ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) ) )
              | ~ ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
                  | ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) ) ) ) )
        = $true )
      | ( ( ! [SY49: a] :
              ~ ( SV21 @ SY49 ) )
        = $true )
      | ( ( ~ ( SV21 @ SV20 ) )
        = $true )
      | ( ( SV21
          = ( sK10_Xp @ SV20 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[211]) ).

thf(218,plain,
    ! [SV24: a,SV20: a] :
      ( ( ~ ( sK10_Xp @ SV20 @ SV24 )
        | ~ ( ~ ! [SY50: a] :
                  ( ~ ( sK10_Xp @ SV20 @ SY50 )
                  | ( cQ @ SV24 @ SY50 ) )
            | ~ ! [SY51: a] :
                  ( ~ ( cQ @ SV24 @ SY51 )
                  | ( sK10_Xp @ SV20 @ SY51 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[212]) ).

thf(219,plain,
    ! [SV19: a > $o] :
      ( ( ( cQ @ ( sK8_Xx @ SV19 ) @ ( sK9_SY24 @ SV19 ) )
        = $false )
      | ( ( SV19 @ ( sK9_SY24 @ SV19 ) )
        = $false )
      | ( ( ! [SY43: a] :
              ~ ( SV19 @ SY43 ) )
        = $true )
      | ( ( SV19 @ ( sK7_Xz @ SV19 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[214]) ).

thf(220,plain,
    ! [SV23: a,SV19: a > $o] :
      ( ( ( SV19 @ SV23 )
        = $false )
      | ( ( cQ @ ( sK8_Xx @ SV19 ) @ ( sK9_SY24 @ SV19 ) )
        = $true )
      | ( ( SV19 @ ( sK9_SY24 @ SV19 ) )
        = $true )
      | ( ( SV19 @ ( sK7_Xz @ SV19 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[215]) ).

thf(221,plain,
    ! [SV20: a,SV25: a,SV21: a > $o] :
      ( ( ( ~ ( SV21 @ SV25 ) )
        = $true )
      | ( ( SV21 @ ( sK12_Xx0 @ SV21 @ SV20 ) )
        = $true )
      | ( ( ~ ( SV21 @ SV20 ) )
        = $true )
      | ( ( SV21
          = ( sK10_Xp @ SV20 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[216]) ).

thf(222,plain,
    ! [SV20: a,SV21: a > $o] :
      ( ( ( ~ ( ~ ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
              | ~ ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) ) )
          | ~ ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
              | ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) ) ) )
        = $false )
      | ( ( ! [SY49: a] :
              ~ ( SV21 @ SY49 ) )
        = $true )
      | ( ( ~ ( SV21 @ SV20 ) )
        = $true )
      | ( ( SV21
          = ( sK10_Xp @ SV20 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[217]) ).

thf(223,plain,
    ! [SV24: a,SV20: a] :
      ( ( ( ~ ( sK10_Xp @ SV20 @ SV24 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY50: a] :
                    ( ~ ( sK10_Xp @ SV20 @ SY50 )
                    | ( cQ @ SV24 @ SY50 ) )
              | ~ ! [SY51: a] :
                    ( ~ ( cQ @ SV24 @ SY51 )
                    | ( sK10_Xp @ SV20 @ SY51 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[218]) ).

thf(224,plain,
    ! [SV26: a,SV19: a > $o] :
      ( ( ( ~ ( SV19 @ SV26 ) )
        = $true )
      | ( ( SV19 @ ( sK9_SY24 @ SV19 ) )
        = $false )
      | ( ( cQ @ ( sK8_Xx @ SV19 ) @ ( sK9_SY24 @ SV19 ) )
        = $false )
      | ( ( SV19 @ ( sK7_Xz @ SV19 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[219]) ).

thf(225,plain,
    ! [SV20: a,SV25: a,SV21: a > $o] :
      ( ( ( SV21 @ SV25 )
        = $false )
      | ( ( SV21 @ ( sK12_Xx0 @ SV21 @ SV20 ) )
        = $true )
      | ( ( ~ ( SV21 @ SV20 ) )
        = $true )
      | ( ( SV21
          = ( sK10_Xp @ SV20 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[221]) ).

thf(226,plain,
    ! [SV20: a,SV21: a > $o] :
      ( ( ( ~ ( ~ ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
              | ~ ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) ) ) )
        = $false )
      | ( ( ! [SY49: a] :
              ~ ( SV21 @ SY49 ) )
        = $true )
      | ( ( ~ ( SV21 @ SV20 ) )
        = $true )
      | ( ( SV21
          = ( sK10_Xp @ SV20 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[222]) ).

thf(227,plain,
    ! [SV20: a,SV21: a > $o] :
      ( ( ( ~ ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
              | ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) ) ) )
        = $false )
      | ( ( ! [SY49: a] :
              ~ ( SV21 @ SY49 ) )
        = $true )
      | ( ( ~ ( SV21 @ SV20 ) )
        = $true )
      | ( ( SV21
          = ( sK10_Xp @ SV20 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[222]) ).

thf(228,plain,
    ! [SV24: a,SV20: a] :
      ( ( ( sK10_Xp @ SV20 @ SV24 )
        = $false )
      | ( ( ~ ( ~ ! [SY50: a] :
                    ( ~ ( sK10_Xp @ SV20 @ SY50 )
                    | ( cQ @ SV24 @ SY50 ) )
              | ~ ! [SY51: a] :
                    ( ~ ( cQ @ SV24 @ SY51 )
                    | ( sK10_Xp @ SV20 @ SY51 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[223]) ).

thf(229,plain,
    ! [SV26: a,SV19: a > $o] :
      ( ( ( SV19 @ SV26 )
        = $false )
      | ( ( SV19 @ ( sK9_SY24 @ SV19 ) )
        = $false )
      | ( ( cQ @ ( sK8_Xx @ SV19 ) @ ( sK9_SY24 @ SV19 ) )
        = $false )
      | ( ( SV19 @ ( sK7_Xz @ SV19 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[224]) ).

thf(230,plain,
    ! [SV25: a,SV20: a,SV21: a > $o] :
      ( ( ( SV21 @ SV20 )
        = $false )
      | ( ( SV21 @ ( sK12_Xx0 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ SV25 )
        = $false )
      | ( ( SV21
          = ( sK10_Xp @ SV20 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[225]) ).

thf(231,plain,
    ! [SV20: a,SV21: a > $o] :
      ( ( ( ~ ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
          | ~ ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) ) )
        = $true )
      | ( ( ! [SY49: a] :
              ~ ( SV21 @ SY49 ) )
        = $true )
      | ( ( ~ ( SV21 @ SV20 ) )
        = $true )
      | ( ( SV21
          = ( sK10_Xp @ SV20 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[226]) ).

thf(232,plain,
    ! [SV20: a,SV21: a > $o] :
      ( ( ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
          | ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) ) )
        = $true )
      | ( ( ! [SY49: a] :
              ~ ( SV21 @ SY49 ) )
        = $true )
      | ( ( ~ ( SV21 @ SV20 ) )
        = $true )
      | ( ( SV21
          = ( sK10_Xp @ SV20 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[227]) ).

thf(233,plain,
    ! [SV24: a,SV20: a] :
      ( ( ( ~ ! [SY50: a] :
                ( ~ ( sK10_Xp @ SV20 @ SY50 )
                | ( cQ @ SV24 @ SY50 ) )
          | ~ ! [SY51: a] :
                ( ~ ( cQ @ SV24 @ SY51 )
                | ( sK10_Xp @ SV20 @ SY51 ) ) )
        = $false )
      | ( ( sK10_Xp @ SV20 @ SV24 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[228]) ).

thf(234,plain,
    ! [SV25: a,SV20: a,SV21: a > $o] :
      ( ( ( ! [SV27: a] :
              ( ( SV21 @ SV27 )
              = ( sK10_Xp @ SV20 @ SV27 ) ) )
        = $true )
      | ( ( SV21 @ SV25 )
        = $false )
      | ( ( SV21 @ ( sK12_Xx0 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ SV20 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[230]) ).

thf(235,plain,
    ! [SV25: a,SV20: a,SV21: a > $o] :
      ( ( ( SV21
          = ( sK10_Xp @ SV20 ) )
        = $true )
      | ( ( SV21 @ SV25 )
        = $false )
      | ( ( SV21 @ ( sK12_Xx0 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ SV20 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[230]) ).

thf(236,plain,
    ! [SV20: a,SV21: a > $o] :
      ( ( ( ~ ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) ) )
        = $true )
      | ( ( ~ ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) ) )
        = $true )
      | ( ( ! [SY49: a] :
              ~ ( SV21 @ SY49 ) )
        = $true )
      | ( ( ~ ( SV21 @ SV20 ) )
        = $true )
      | ( ( SV21
          = ( sK10_Xp @ SV20 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[231]) ).

thf(237,plain,
    ! [SV20: a,SV21: a > $o] :
      ( ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $true )
      | ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $true )
      | ( ( ! [SY49: a] :
              ~ ( SV21 @ SY49 ) )
        = $true )
      | ( ( ~ ( SV21 @ SV20 ) )
        = $true )
      | ( ( SV21
          = ( sK10_Xp @ SV20 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[232]) ).

thf(238,plain,
    ! [SV24: a,SV20: a] :
      ( ( ( ~ ! [SY50: a] :
                ( ~ ( sK10_Xp @ SV20 @ SY50 )
                | ( cQ @ SV24 @ SY50 ) ) )
        = $false )
      | ( ( sK10_Xp @ SV20 @ SV24 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[233]) ).

thf(239,plain,
    ! [SV20: a,SV24: a] :
      ( ( ( ~ ! [SY51: a] :
                ( ~ ( cQ @ SV24 @ SY51 )
                | ( sK10_Xp @ SV20 @ SY51 ) ) )
        = $false )
      | ( ( sK10_Xp @ SV20 @ SV24 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[233]) ).

thf(240,plain,
    ! [SV25: a,SV20: a,SV28: a,SV21: a > $o] :
      ( ( ( ( SV21 @ SV28 )
          = ( sK10_Xp @ SV20 @ SV28 ) )
        = $true )
      | ( ( SV21 @ SV25 )
        = $false )
      | ( ( SV21 @ ( sK12_Xx0 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ SV20 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[234]) ).

thf(241,plain,
    ! [SV20: a,SV21: a > $o] :
      ( ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $false )
      | ( ( ~ ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) ) )
        = $true )
      | ( ( ! [SY49: a] :
              ~ ( SV21 @ SY49 ) )
        = $true )
      | ( ( ~ ( SV21 @ SV20 ) )
        = $true )
      | ( ( SV21
          = ( sK10_Xp @ SV20 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[236]) ).

thf(242,plain,
    ! [SV20: a,SV29: a,SV21: a > $o] :
      ( ( ( ~ ( SV21 @ SV29 ) )
        = $true )
      | ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $true )
      | ( ( ~ ( SV21 @ SV20 ) )
        = $true )
      | ( ( SV21
          = ( sK10_Xp @ SV20 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[237]) ).

thf(243,plain,
    ! [SV24: a,SV20: a] :
      ( ( ( ! [SY50: a] :
              ( ~ ( sK10_Xp @ SV20 @ SY50 )
              | ( cQ @ SV24 @ SY50 ) ) )
        = $true )
      | ( ( sK10_Xp @ SV20 @ SV24 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[238]) ).

thf(244,plain,
    ! [SV20: a,SV24: a] :
      ( ( ( ! [SY51: a] :
              ( ~ ( cQ @ SV24 @ SY51 )
              | ( sK10_Xp @ SV20 @ SY51 ) ) )
        = $true )
      | ( ( sK10_Xp @ SV20 @ SV24 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[239]) ).

thf(245,plain,
    ! [SV25: a,SV20: a,SV28: a,SV21: a > $o] :
      ( ( ( ~ ( ( SV21 @ SV28 )
              | ( sK10_Xp @ SV20 @ SV28 ) )
          | ~ ( ~ ( SV21 @ SV28 )
              | ~ ( sK10_Xp @ SV20 @ SV28 ) ) )
        = $true )
      | ( ( SV21 @ SV25 )
        = $false )
      | ( ( SV21 @ ( sK12_Xx0 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ SV20 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[240]) ).

thf(246,plain,
    ! [SV25: a,SV20: a,SV28: a,SV21: a > $o] :
      ( ( ( ( SV21 @ SV28 )
          = ( sK10_Xp @ SV20 @ SV28 ) )
        = $true )
      | ( ( SV21 @ SV25 )
        = $false )
      | ( ( SV21 @ ( sK12_Xx0 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ SV20 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[240]) ).

thf(247,plain,
    ! [SV20: a,SV21: a > $o] :
      ( ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $false )
      | ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $false )
      | ( ( ! [SY49: a] :
              ~ ( SV21 @ SY49 ) )
        = $true )
      | ( ( ~ ( SV21 @ SV20 ) )
        = $true )
      | ( ( SV21
          = ( sK10_Xp @ SV20 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[241]) ).

thf(248,plain,
    ! [SV20: a,SV29: a,SV21: a > $o] :
      ( ( ( SV21 @ SV29 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $true )
      | ( ( ~ ( SV21 @ SV20 ) )
        = $true )
      | ( ( SV21
          = ( sK10_Xp @ SV20 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[242]) ).

thf(249,plain,
    ! [SV24: a,SV30: a,SV20: a] :
      ( ( ( ~ ( sK10_Xp @ SV20 @ SV30 )
          | ( cQ @ SV24 @ SV30 ) )
        = $true )
      | ( ( sK10_Xp @ SV20 @ SV24 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[243]) ).

thf(250,plain,
    ! [SV20: a,SV31: a,SV24: a] :
      ( ( ( ~ ( cQ @ SV24 @ SV31 )
          | ( sK10_Xp @ SV20 @ SV31 ) )
        = $true )
      | ( ( sK10_Xp @ SV20 @ SV24 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[244]) ).

thf(251,plain,
    ! [SV25: a,SV20: a,SV28: a,SV21: a > $o] :
      ( ( ( ~ ( ( SV21 @ SV28 )
              | ( sK10_Xp @ SV20 @ SV28 ) ) )
        = $true )
      | ( ( ~ ( ~ ( SV21 @ SV28 )
              | ~ ( sK10_Xp @ SV20 @ SV28 ) ) )
        = $true )
      | ( ( SV21 @ SV25 )
        = $false )
      | ( ( SV21 @ ( sK12_Xx0 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ SV20 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[245]) ).

thf(252,plain,
    ! [SV20: a,SV32: a,SV21: a > $o] :
      ( ( ( ~ ( SV21 @ SV32 ) )
        = $true )
      | ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $false )
      | ( ( ~ ( SV21 @ SV20 ) )
        = $true )
      | ( ( SV21
          = ( sK10_Xp @ SV20 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[247]) ).

thf(253,plain,
    ! [SV29: a,SV20: a,SV21: a > $o] :
      ( ( ( SV21 @ SV20 )
        = $false )
      | ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $true )
      | ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ SV29 )
        = $false )
      | ( ( SV21
          = ( sK10_Xp @ SV20 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[248]) ).

thf(254,plain,
    ! [SV24: a,SV30: a,SV20: a] :
      ( ( ( ~ ( sK10_Xp @ SV20 @ SV30 ) )
        = $true )
      | ( ( cQ @ SV24 @ SV30 )
        = $true )
      | ( ( sK10_Xp @ SV20 @ SV24 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[249]) ).

thf(255,plain,
    ! [SV20: a,SV31: a,SV24: a] :
      ( ( ( ~ ( cQ @ SV24 @ SV31 ) )
        = $true )
      | ( ( sK10_Xp @ SV20 @ SV31 )
        = $true )
      | ( ( sK10_Xp @ SV20 @ SV24 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[250]) ).

thf(256,plain,
    ! [SV25: a,SV20: a,SV28: a,SV21: a > $o] :
      ( ( ( ( SV21 @ SV28 )
          | ( sK10_Xp @ SV20 @ SV28 ) )
        = $false )
      | ( ( ~ ( ~ ( SV21 @ SV28 )
              | ~ ( sK10_Xp @ SV20 @ SV28 ) ) )
        = $true )
      | ( ( SV21 @ SV25 )
        = $false )
      | ( ( SV21 @ ( sK12_Xx0 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ SV20 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[251]) ).

thf(257,plain,
    ! [SV20: a,SV32: a,SV21: a > $o] :
      ( ( ( SV21 @ SV32 )
        = $false )
      | ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $false )
      | ( ( ~ ( SV21 @ SV20 ) )
        = $true )
      | ( ( SV21
          = ( sK10_Xp @ SV20 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[252]) ).

thf(258,plain,
    ! [SV29: a,SV20: a,SV21: a > $o] :
      ( ( ( ! [SV33: a] :
              ( ( SV21 @ SV33 )
              = ( sK10_Xp @ SV20 @ SV33 ) ) )
        = $true )
      | ( ( SV21 @ SV29 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ SV20 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[253]) ).

thf(259,plain,
    ! [SV29: a,SV20: a,SV21: a > $o] :
      ( ( ( SV21
          = ( sK10_Xp @ SV20 ) )
        = $true )
      | ( ( SV21 @ SV29 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ SV20 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[253]) ).

thf(260,plain,
    ! [SV24: a,SV30: a,SV20: a] :
      ( ( ( sK10_Xp @ SV20 @ SV30 )
        = $false )
      | ( ( cQ @ SV24 @ SV30 )
        = $true )
      | ( ( sK10_Xp @ SV20 @ SV24 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[254]) ).

thf(261,plain,
    ! [SV20: a,SV31: a,SV24: a] :
      ( ( ( cQ @ SV24 @ SV31 )
        = $false )
      | ( ( sK10_Xp @ SV20 @ SV31 )
        = $true )
      | ( ( sK10_Xp @ SV20 @ SV24 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[255]) ).

thf(262,plain,
    ! [SV25: a,SV20: a,SV28: a,SV21: a > $o] :
      ( ( ( SV21 @ SV28 )
        = $false )
      | ( ( ~ ( ~ ( SV21 @ SV28 )
              | ~ ( sK10_Xp @ SV20 @ SV28 ) ) )
        = $true )
      | ( ( SV21 @ SV25 )
        = $false )
      | ( ( SV21 @ ( sK12_Xx0 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ SV20 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[256]) ).

thf(263,plain,
    ! [SV25: a,SV21: a > $o,SV28: a,SV20: a] :
      ( ( ( sK10_Xp @ SV20 @ SV28 )
        = $false )
      | ( ( ~ ( ~ ( SV21 @ SV28 )
              | ~ ( sK10_Xp @ SV20 @ SV28 ) ) )
        = $true )
      | ( ( SV21 @ SV25 )
        = $false )
      | ( ( SV21 @ ( sK12_Xx0 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ SV20 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[256]) ).

thf(264,plain,
    ! [SV32: a,SV20: a,SV21: a > $o] :
      ( ( ( SV21 @ SV20 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $false )
      | ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $false )
      | ( ( SV21 @ SV32 )
        = $false )
      | ( ( SV21
          = ( sK10_Xp @ SV20 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[257]) ).

thf(265,plain,
    ! [SV29: a,SV20: a,SV34: a,SV21: a > $o] :
      ( ( ( ( SV21 @ SV34 )
          = ( sK10_Xp @ SV20 @ SV34 ) )
        = $true )
      | ( ( SV21 @ SV29 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ SV20 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[258]) ).

thf(266,plain,
    ! [SV25: a,SV20: a,SV28: a,SV21: a > $o] :
      ( ( ( ~ ( SV21 @ SV28 )
          | ~ ( sK10_Xp @ SV20 @ SV28 ) )
        = $false )
      | ( ( SV21 @ SV28 )
        = $false )
      | ( ( SV21 @ SV25 )
        = $false )
      | ( ( SV21 @ ( sK12_Xx0 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ SV20 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[262]) ).

thf(267,plain,
    ! [SV25: a,SV20: a,SV28: a,SV21: a > $o] :
      ( ( ( ~ ( SV21 @ SV28 )
          | ~ ( sK10_Xp @ SV20 @ SV28 ) )
        = $false )
      | ( ( sK10_Xp @ SV20 @ SV28 )
        = $false )
      | ( ( SV21 @ SV25 )
        = $false )
      | ( ( SV21 @ ( sK12_Xx0 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ SV20 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[263]) ).

thf(268,plain,
    ! [SV32: a,SV20: a,SV21: a > $o] :
      ( ( ( ! [SV35: a] :
              ( ( SV21 @ SV35 )
              = ( sK10_Xp @ SV20 @ SV35 ) ) )
        = $true )
      | ( ( SV21 @ SV32 )
        = $false )
      | ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $false )
      | ( ( SV21 @ SV20 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[264]) ).

thf(269,plain,
    ! [SV32: a,SV20: a,SV21: a > $o] :
      ( ( ( SV21
          = ( sK10_Xp @ SV20 ) )
        = $true )
      | ( ( SV21 @ SV32 )
        = $false )
      | ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $false )
      | ( ( SV21 @ SV20 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[264]) ).

thf(270,plain,
    ! [SV29: a,SV20: a,SV34: a,SV21: a > $o] :
      ( ( ( ~ ( ( SV21 @ SV34 )
              | ( sK10_Xp @ SV20 @ SV34 ) )
          | ~ ( ~ ( SV21 @ SV34 )
              | ~ ( sK10_Xp @ SV20 @ SV34 ) ) )
        = $true )
      | ( ( SV21 @ SV29 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ SV20 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[265]) ).

thf(271,plain,
    ! [SV29: a,SV20: a,SV34: a,SV21: a > $o] :
      ( ( ( ( SV21 @ SV34 )
          = ( sK10_Xp @ SV20 @ SV34 ) )
        = $true )
      | ( ( SV21 @ SV29 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ SV20 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[265]) ).

thf(272,plain,
    ! [SV20: a,SV25: a,SV28: a,SV21: a > $o] :
      ( ( ( ~ ( SV21 @ SV28 ) )
        = $false )
      | ( ( SV21 @ SV28 )
        = $false )
      | ( ( SV21 @ SV25 )
        = $false )
      | ( ( SV21 @ ( sK12_Xx0 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ SV20 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[266]) ).

thf(273,plain,
    ! [SV25: a,SV21: a > $o,SV28: a,SV20: a] :
      ( ( ( ~ ( sK10_Xp @ SV20 @ SV28 ) )
        = $false )
      | ( ( SV21 @ SV28 )
        = $false )
      | ( ( SV21 @ SV25 )
        = $false )
      | ( ( SV21 @ ( sK12_Xx0 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ SV20 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[266]) ).

thf(274,plain,
    ! [SV25: a,SV20: a,SV28: a,SV21: a > $o] :
      ( ( ( ~ ( SV21 @ SV28 ) )
        = $false )
      | ( ( sK10_Xp @ SV20 @ SV28 )
        = $false )
      | ( ( SV21 @ SV25 )
        = $false )
      | ( ( SV21 @ ( sK12_Xx0 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ SV20 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[267]) ).

thf(275,plain,
    ! [SV25: a,SV21: a > $o,SV28: a,SV20: a] :
      ( ( ( ~ ( sK10_Xp @ SV20 @ SV28 ) )
        = $false )
      | ( ( sK10_Xp @ SV20 @ SV28 )
        = $false )
      | ( ( SV21 @ SV25 )
        = $false )
      | ( ( SV21 @ ( sK12_Xx0 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ SV20 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[267]) ).

thf(276,plain,
    ! [SV32: a,SV20: a,SV36: a,SV21: a > $o] :
      ( ( ( ( SV21 @ SV36 )
          = ( sK10_Xp @ SV20 @ SV36 ) )
        = $true )
      | ( ( SV21 @ SV32 )
        = $false )
      | ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $false )
      | ( ( SV21 @ SV20 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[268]) ).

thf(277,plain,
    ! [SV29: a,SV20: a,SV34: a,SV21: a > $o] :
      ( ( ( ~ ( ( SV21 @ SV34 )
              | ( sK10_Xp @ SV20 @ SV34 ) ) )
        = $true )
      | ( ( ~ ( ~ ( SV21 @ SV34 )
              | ~ ( sK10_Xp @ SV20 @ SV34 ) ) )
        = $true )
      | ( ( SV21 @ SV29 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ SV20 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[270]) ).

thf(278,plain,
    ! [SV20: a,SV25: a,SV28: a,SV21: a > $o] :
      ( ( ( SV21 @ SV28 )
        = $true )
      | ( ( SV21 @ SV28 )
        = $false )
      | ( ( SV21 @ SV25 )
        = $false )
      | ( ( SV21 @ ( sK12_Xx0 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ SV20 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[272]) ).

thf(279,plain,
    ! [SV25: a,SV21: a > $o,SV28: a,SV20: a] :
      ( ( ( sK10_Xp @ SV20 @ SV28 )
        = $true )
      | ( ( SV21 @ SV28 )
        = $false )
      | ( ( SV21 @ SV25 )
        = $false )
      | ( ( SV21 @ ( sK12_Xx0 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ SV20 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[273]) ).

thf(280,plain,
    ! [SV25: a,SV20: a,SV28: a,SV21: a > $o] :
      ( ( ( SV21 @ SV28 )
        = $true )
      | ( ( sK10_Xp @ SV20 @ SV28 )
        = $false )
      | ( ( SV21 @ SV25 )
        = $false )
      | ( ( SV21 @ ( sK12_Xx0 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ SV20 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[274]) ).

thf(281,plain,
    ! [SV25: a,SV21: a > $o,SV28: a,SV20: a] :
      ( ( ( sK10_Xp @ SV20 @ SV28 )
        = $true )
      | ( ( sK10_Xp @ SV20 @ SV28 )
        = $false )
      | ( ( SV21 @ SV25 )
        = $false )
      | ( ( SV21 @ ( sK12_Xx0 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ SV20 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[275]) ).

thf(282,plain,
    ! [SV32: a,SV20: a,SV36: a,SV21: a > $o] :
      ( ( ( ~ ( ( SV21 @ SV36 )
              | ( sK10_Xp @ SV20 @ SV36 ) )
          | ~ ( ~ ( SV21 @ SV36 )
              | ~ ( sK10_Xp @ SV20 @ SV36 ) ) )
        = $true )
      | ( ( SV21 @ SV32 )
        = $false )
      | ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $false )
      | ( ( SV21 @ SV20 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[276]) ).

thf(283,plain,
    ! [SV32: a,SV20: a,SV36: a,SV21: a > $o] :
      ( ( ( ( SV21 @ SV36 )
          = ( sK10_Xp @ SV20 @ SV36 ) )
        = $true )
      | ( ( SV21 @ SV32 )
        = $false )
      | ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $false )
      | ( ( SV21 @ SV20 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[276]) ).

thf(284,plain,
    ! [SV29: a,SV20: a,SV34: a,SV21: a > $o] :
      ( ( ( ( SV21 @ SV34 )
          | ( sK10_Xp @ SV20 @ SV34 ) )
        = $false )
      | ( ( ~ ( ~ ( SV21 @ SV34 )
              | ~ ( sK10_Xp @ SV20 @ SV34 ) ) )
        = $true )
      | ( ( SV21 @ SV29 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ SV20 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[277]) ).

thf(285,plain,
    ! [SV32: a,SV20: a,SV36: a,SV21: a > $o] :
      ( ( ( ~ ( ( SV21 @ SV36 )
              | ( sK10_Xp @ SV20 @ SV36 ) ) )
        = $true )
      | ( ( ~ ( ~ ( SV21 @ SV36 )
              | ~ ( sK10_Xp @ SV20 @ SV36 ) ) )
        = $true )
      | ( ( SV21 @ SV32 )
        = $false )
      | ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $false )
      | ( ( SV21 @ SV20 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[282]) ).

thf(286,plain,
    ! [SV29: a,SV20: a,SV34: a,SV21: a > $o] :
      ( ( ( SV21 @ SV34 )
        = $false )
      | ( ( ~ ( ~ ( SV21 @ SV34 )
              | ~ ( sK10_Xp @ SV20 @ SV34 ) ) )
        = $true )
      | ( ( SV21 @ SV29 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ SV20 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[284]) ).

thf(287,plain,
    ! [SV29: a,SV21: a > $o,SV34: a,SV20: a] :
      ( ( ( sK10_Xp @ SV20 @ SV34 )
        = $false )
      | ( ( ~ ( ~ ( SV21 @ SV34 )
              | ~ ( sK10_Xp @ SV20 @ SV34 ) ) )
        = $true )
      | ( ( SV21 @ SV29 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ SV20 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[284]) ).

thf(288,plain,
    ! [SV32: a,SV20: a,SV36: a,SV21: a > $o] :
      ( ( ( ( SV21 @ SV36 )
          | ( sK10_Xp @ SV20 @ SV36 ) )
        = $false )
      | ( ( ~ ( ~ ( SV21 @ SV36 )
              | ~ ( sK10_Xp @ SV20 @ SV36 ) ) )
        = $true )
      | ( ( SV21 @ SV32 )
        = $false )
      | ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $false )
      | ( ( SV21 @ SV20 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[285]) ).

thf(289,plain,
    ! [SV29: a,SV20: a,SV34: a,SV21: a > $o] :
      ( ( ( ~ ( SV21 @ SV34 )
          | ~ ( sK10_Xp @ SV20 @ SV34 ) )
        = $false )
      | ( ( SV21 @ SV34 )
        = $false )
      | ( ( SV21 @ SV29 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ SV20 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[286]) ).

thf(290,plain,
    ! [SV29: a,SV20: a,SV34: a,SV21: a > $o] :
      ( ( ( ~ ( SV21 @ SV34 )
          | ~ ( sK10_Xp @ SV20 @ SV34 ) )
        = $false )
      | ( ( sK10_Xp @ SV20 @ SV34 )
        = $false )
      | ( ( SV21 @ SV29 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ SV20 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[287]) ).

thf(291,plain,
    ! [SV32: a,SV20: a,SV36: a,SV21: a > $o] :
      ( ( ( SV21 @ SV36 )
        = $false )
      | ( ( ~ ( ~ ( SV21 @ SV36 )
              | ~ ( sK10_Xp @ SV20 @ SV36 ) ) )
        = $true )
      | ( ( SV21 @ SV32 )
        = $false )
      | ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $false )
      | ( ( SV21 @ SV20 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[288]) ).

thf(292,plain,
    ! [SV32: a,SV21: a > $o,SV36: a,SV20: a] :
      ( ( ( sK10_Xp @ SV20 @ SV36 )
        = $false )
      | ( ( ~ ( ~ ( SV21 @ SV36 )
              | ~ ( sK10_Xp @ SV20 @ SV36 ) ) )
        = $true )
      | ( ( SV21 @ SV32 )
        = $false )
      | ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $false )
      | ( ( SV21 @ SV20 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[288]) ).

thf(293,plain,
    ! [SV20: a,SV29: a,SV34: a,SV21: a > $o] :
      ( ( ( ~ ( SV21 @ SV34 ) )
        = $false )
      | ( ( SV21 @ SV34 )
        = $false )
      | ( ( SV21 @ SV29 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ SV20 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[289]) ).

thf(294,plain,
    ! [SV29: a,SV21: a > $o,SV34: a,SV20: a] :
      ( ( ( ~ ( sK10_Xp @ SV20 @ SV34 ) )
        = $false )
      | ( ( SV21 @ SV34 )
        = $false )
      | ( ( SV21 @ SV29 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ SV20 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[289]) ).

thf(295,plain,
    ! [SV29: a,SV20: a,SV34: a,SV21: a > $o] :
      ( ( ( ~ ( SV21 @ SV34 ) )
        = $false )
      | ( ( sK10_Xp @ SV20 @ SV34 )
        = $false )
      | ( ( SV21 @ SV29 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ SV20 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[290]) ).

thf(296,plain,
    ! [SV29: a,SV21: a > $o,SV34: a,SV20: a] :
      ( ( ( ~ ( sK10_Xp @ SV20 @ SV34 ) )
        = $false )
      | ( ( sK10_Xp @ SV20 @ SV34 )
        = $false )
      | ( ( SV21 @ SV29 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ SV20 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[290]) ).

thf(297,plain,
    ! [SV32: a,SV20: a,SV36: a,SV21: a > $o] :
      ( ( ( ~ ( SV21 @ SV36 )
          | ~ ( sK10_Xp @ SV20 @ SV36 ) )
        = $false )
      | ( ( SV21 @ SV36 )
        = $false )
      | ( ( SV21 @ SV32 )
        = $false )
      | ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $false )
      | ( ( SV21 @ SV20 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[291]) ).

thf(298,plain,
    ! [SV32: a,SV20: a,SV36: a,SV21: a > $o] :
      ( ( ( ~ ( SV21 @ SV36 )
          | ~ ( sK10_Xp @ SV20 @ SV36 ) )
        = $false )
      | ( ( sK10_Xp @ SV20 @ SV36 )
        = $false )
      | ( ( SV21 @ SV32 )
        = $false )
      | ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $false )
      | ( ( SV21 @ SV20 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[292]) ).

thf(299,plain,
    ! [SV20: a,SV29: a,SV34: a,SV21: a > $o] :
      ( ( ( SV21 @ SV34 )
        = $true )
      | ( ( SV21 @ SV34 )
        = $false )
      | ( ( SV21 @ SV29 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ SV20 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[293]) ).

thf(300,plain,
    ! [SV29: a,SV21: a > $o,SV34: a,SV20: a] :
      ( ( ( sK10_Xp @ SV20 @ SV34 )
        = $true )
      | ( ( SV21 @ SV34 )
        = $false )
      | ( ( SV21 @ SV29 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ SV20 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[294]) ).

thf(301,plain,
    ! [SV29: a,SV20: a,SV34: a,SV21: a > $o] :
      ( ( ( SV21 @ SV34 )
        = $true )
      | ( ( sK10_Xp @ SV20 @ SV34 )
        = $false )
      | ( ( SV21 @ SV29 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ SV20 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[295]) ).

thf(302,plain,
    ! [SV29: a,SV21: a > $o,SV34: a,SV20: a] :
      ( ( ( sK10_Xp @ SV20 @ SV34 )
        = $true )
      | ( ( sK10_Xp @ SV20 @ SV34 )
        = $false )
      | ( ( SV21 @ SV29 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $true )
      | ( ( SV21 @ SV20 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[296]) ).

thf(303,plain,
    ! [SV20: a,SV32: a,SV36: a,SV21: a > $o] :
      ( ( ( ~ ( SV21 @ SV36 ) )
        = $false )
      | ( ( SV21 @ SV36 )
        = $false )
      | ( ( SV21 @ SV32 )
        = $false )
      | ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $false )
      | ( ( SV21 @ SV20 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[297]) ).

thf(304,plain,
    ! [SV32: a,SV21: a > $o,SV36: a,SV20: a] :
      ( ( ( ~ ( sK10_Xp @ SV20 @ SV36 ) )
        = $false )
      | ( ( SV21 @ SV36 )
        = $false )
      | ( ( SV21 @ SV32 )
        = $false )
      | ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $false )
      | ( ( SV21 @ SV20 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[297]) ).

thf(305,plain,
    ! [SV32: a,SV20: a,SV36: a,SV21: a > $o] :
      ( ( ( ~ ( SV21 @ SV36 ) )
        = $false )
      | ( ( sK10_Xp @ SV20 @ SV36 )
        = $false )
      | ( ( SV21 @ SV32 )
        = $false )
      | ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $false )
      | ( ( SV21 @ SV20 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[298]) ).

thf(306,plain,
    ! [SV32: a,SV21: a > $o,SV36: a,SV20: a] :
      ( ( ( ~ ( sK10_Xp @ SV20 @ SV36 ) )
        = $false )
      | ( ( sK10_Xp @ SV20 @ SV36 )
        = $false )
      | ( ( SV21 @ SV32 )
        = $false )
      | ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $false )
      | ( ( SV21 @ SV20 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[298]) ).

thf(307,plain,
    ! [SV20: a,SV32: a,SV36: a,SV21: a > $o] :
      ( ( ( SV21 @ SV36 )
        = $true )
      | ( ( SV21 @ SV36 )
        = $false )
      | ( ( SV21 @ SV32 )
        = $false )
      | ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $false )
      | ( ( SV21 @ SV20 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[303]) ).

thf(308,plain,
    ! [SV32: a,SV21: a > $o,SV36: a,SV20: a] :
      ( ( ( sK10_Xp @ SV20 @ SV36 )
        = $true )
      | ( ( SV21 @ SV36 )
        = $false )
      | ( ( SV21 @ SV32 )
        = $false )
      | ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $false )
      | ( ( SV21 @ SV20 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[304]) ).

thf(309,plain,
    ! [SV32: a,SV20: a,SV36: a,SV21: a > $o] :
      ( ( ( SV21 @ SV36 )
        = $true )
      | ( ( sK10_Xp @ SV20 @ SV36 )
        = $false )
      | ( ( SV21 @ SV32 )
        = $false )
      | ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $false )
      | ( ( SV21 @ SV20 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[305]) ).

thf(310,plain,
    ! [SV32: a,SV21: a > $o,SV36: a,SV20: a] :
      ( ( ( sK10_Xp @ SV20 @ SV36 )
        = $true )
      | ( ( sK10_Xp @ SV20 @ SV36 )
        = $false )
      | ( ( SV21 @ SV32 )
        = $false )
      | ( ( SV21 @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV21 @ SV20 ) @ ( sK13_SY33 @ SV21 @ SV20 ) )
        = $false )
      | ( ( SV21 @ SV20 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[306]) ).

thf(311,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[176,310,309,308,307,302,301,300,299,283,281,280,279,278,271,269,261,260,259,246,235,229,220,213,198,197,181]) ).

thf(312,plain,
    ( ( ! [Xx: a] :
          ( ! [SY25: a > $o] :
              ( ( ( SY25 @ ( sK12_Xx0 @ SY25 @ Xx ) )
                & ( ~ ( SY25 @ ( sK13_SY33 @ SY25 @ Xx ) )
                  | ~ ( cQ @ ( sK12_Xx0 @ SY25 @ Xx ) @ ( sK13_SY33 @ SY25 @ Xx ) ) )
                & ( ( SY25 @ ( sK13_SY33 @ SY25 @ Xx ) )
                  | ( cQ @ ( sK12_Xx0 @ SY25 @ Xx ) @ ( sK13_SY33 @ SY25 @ Xx ) ) ) )
              | ! [Xz: a] :
                  ~ ( SY25 @ Xz )
              | ~ ( SY25 @ Xx )
              | ( SY25
                = ( sK10_Xp @ Xx ) ) )
          & ! [SY29: a] :
              ( ~ ( sK10_Xp @ Xx @ SY29 )
              | ( ! [SY30: a] :
                    ( ~ ( sK10_Xp @ Xx @ SY30 )
                    | ( cQ @ SY29 @ SY30 ) )
                & ! [SY31: a] :
                    ( ~ ( cQ @ SY29 @ SY31 )
                    | ( sK10_Xp @ Xx @ SY31 ) ) ) )
          & ( sK10_Xp @ Xx @ ( sK11_SY32 @ Xx ) )
          & ( sK10_Xp @ Xx @ Xx ) ) )
    = $true ),
    inference(copy,[status(thm)],[17]) ).

thf(313,plain,
    ( ( ! [Xp: a > $o] :
          ( ( ( Xp @ ( sK8_Xx @ Xp ) )
            & ( ~ ( Xp @ ( sK9_SY24 @ Xp ) )
              | ~ ( cQ @ ( sK8_Xx @ Xp ) @ ( sK9_SY24 @ Xp ) ) )
            & ( ( Xp @ ( sK9_SY24 @ Xp ) )
              | ( cQ @ ( sK8_Xx @ Xp ) @ ( sK9_SY24 @ Xp ) ) ) )
          | ! [Xz: a] :
              ~ ( Xp @ Xz )
          | ( Xp @ ( sK7_Xz @ Xp ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[16]) ).

thf(314,plain,
    ( ( ( cQ @ sK4_Xx @ sK5_SY21 )
      & ( cQ @ sK5_SY21 @ sK6_SY23 )
      & ~ ( cQ @ sK4_Xx @ sK6_SY23 ) )
    = $true ),
    inference(copy,[status(thm)],[15]) ).

thf(315,plain,
    ( ( ! [SX0: a] :
          ~ ( ~ ! [SX1: a > $o] :
                  ( ~ ( ~ ( SX1 @ ( sK12_Xx0 @ SX1 @ SX0 ) )
                      | ~ ~ ( ~ ( ~ ( SX1 @ ( sK13_SY33 @ SX1 @ SX0 ) )
                                | ~ ( cQ @ ( sK12_Xx0 @ SX1 @ SX0 ) @ ( sK13_SY33 @ SX1 @ SX0 ) ) )
                            | ~ ( ( SX1 @ ( sK13_SY33 @ SX1 @ SX0 ) )
                                | ( cQ @ ( sK12_Xx0 @ SX1 @ SX0 ) @ ( sK13_SY33 @ SX1 @ SX0 ) ) ) ) )
                  | ! [SX2: a] :
                      ~ ( SX1 @ SX2 )
                  | ~ ( SX1 @ SX0 )
                  | ( SX1
                    = ( sK10_Xp @ SX0 ) ) )
            | ~ ~ ( ~ ~ ( ~ ! [SX1: a] :
                              ( ~ ( sK10_Xp @ SX0 @ SX1 )
                              | ~ ( ~ ! [SX2: a] :
                                        ( ~ ( sK10_Xp @ SX0 @ SX2 )
                                        | ( cQ @ SX1 @ SX2 ) )
                                  | ~ ! [SX2: a] :
                                        ( ~ ( cQ @ SX1 @ SX2 )
                                        | ( sK10_Xp @ SX0 @ SX2 ) ) ) )
                        | ~ ( sK10_Xp @ SX0 @ ( sK11_SY32 @ SX0 ) ) )
                  | ~ ( sK10_Xp @ SX0 @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[312]) ).

thf(316,plain,
    ( ( ~ ( ~ ~ ( ~ ( cQ @ sK4_Xx @ sK5_SY21 )
                | ~ ( cQ @ sK5_SY21 @ sK6_SY23 ) )
          | ~ ~ ( cQ @ sK4_Xx @ sK6_SY23 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[314]) ).

thf(317,plain,
    ( ( ! [SX0: a > $o] :
          ( ~ ( ~ ( SX0 @ ( sK8_Xx @ SX0 ) )
              | ~ ~ ( ~ ( ~ ( SX0 @ ( sK9_SY24 @ SX0 ) )
                        | ~ ( cQ @ ( sK8_Xx @ SX0 ) @ ( sK9_SY24 @ SX0 ) ) )
                    | ~ ( ( SX0 @ ( sK9_SY24 @ SX0 ) )
                        | ( cQ @ ( sK8_Xx @ SX0 ) @ ( sK9_SY24 @ SX0 ) ) ) ) )
          | ! [SX1: a] :
              ~ ( SX0 @ SX1 )
          | ( SX0 @ ( sK7_Xz @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[313]) ).

thf(318,plain,
    ! [SV37: a] :
      ( ( ~ ( ~ ! [SY52: a > $o] :
                  ( ~ ( ~ ( SY52 @ ( sK12_Xx0 @ SY52 @ SV37 ) )
                      | ~ ~ ( ~ ( ~ ( SY52 @ ( sK13_SY33 @ SY52 @ SV37 ) )
                                | ~ ( cQ @ ( sK12_Xx0 @ SY52 @ SV37 ) @ ( sK13_SY33 @ SY52 @ SV37 ) ) )
                            | ~ ( ( SY52 @ ( sK13_SY33 @ SY52 @ SV37 ) )
                                | ( cQ @ ( sK12_Xx0 @ SY52 @ SV37 ) @ ( sK13_SY33 @ SY52 @ SV37 ) ) ) ) )
                  | ! [SX2: a] :
                      ~ ( SY52 @ SX2 )
                  | ~ ( SY52 @ SV37 )
                  | ( SY52
                    = ( sK10_Xp @ SV37 ) ) )
            | ~ ~ ( ~ ~ ( ~ ! [SY54: a] :
                              ( ~ ( sK10_Xp @ SV37 @ SY54 )
                              | ~ ( ~ ! [SY55: a] :
                                        ( ~ ( sK10_Xp @ SV37 @ SY55 )
                                        | ( cQ @ SY54 @ SY55 ) )
                                  | ~ ! [SY56: a] :
                                        ( ~ ( cQ @ SY54 @ SY56 )
                                        | ( sK10_Xp @ SV37 @ SY56 ) ) ) )
                        | ~ ( sK10_Xp @ SV37 @ ( sK11_SY32 @ SV37 ) ) )
                  | ~ ( sK10_Xp @ SV37 @ SV37 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[315]) ).

thf(319,plain,
    ( ( ~ ~ ( ~ ( cQ @ sK4_Xx @ sK5_SY21 )
            | ~ ( cQ @ sK5_SY21 @ sK6_SY23 ) )
      | ~ ~ ( cQ @ sK4_Xx @ sK6_SY23 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[316]) ).

thf(320,plain,
    ! [SV38: a > $o] :
      ( ( ~ ( ~ ( SV38 @ ( sK8_Xx @ SV38 ) )
            | ~ ~ ( ~ ( ~ ( SV38 @ ( sK9_SY24 @ SV38 ) )
                      | ~ ( cQ @ ( sK8_Xx @ SV38 ) @ ( sK9_SY24 @ SV38 ) ) )
                  | ~ ( ( SV38 @ ( sK9_SY24 @ SV38 ) )
                      | ( cQ @ ( sK8_Xx @ SV38 ) @ ( sK9_SY24 @ SV38 ) ) ) ) )
        | ! [SY57: a] :
            ~ ( SV38 @ SY57 )
        | ( SV38 @ ( sK7_Xz @ SV38 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[317]) ).

thf(321,plain,
    ! [SV37: a] :
      ( ( ~ ! [SY52: a > $o] :
              ( ~ ( ~ ( SY52 @ ( sK12_Xx0 @ SY52 @ SV37 ) )
                  | ~ ~ ( ~ ( ~ ( SY52 @ ( sK13_SY33 @ SY52 @ SV37 ) )
                            | ~ ( cQ @ ( sK12_Xx0 @ SY52 @ SV37 ) @ ( sK13_SY33 @ SY52 @ SV37 ) ) )
                        | ~ ( ( SY52 @ ( sK13_SY33 @ SY52 @ SV37 ) )
                            | ( cQ @ ( sK12_Xx0 @ SY52 @ SV37 ) @ ( sK13_SY33 @ SY52 @ SV37 ) ) ) ) )
              | ! [SX2: a] :
                  ~ ( SY52 @ SX2 )
              | ~ ( SY52 @ SV37 )
              | ( SY52
                = ( sK10_Xp @ SV37 ) ) )
        | ~ ~ ( ~ ~ ( ~ ! [SY54: a] :
                          ( ~ ( sK10_Xp @ SV37 @ SY54 )
                          | ~ ( ~ ! [SY55: a] :
                                    ( ~ ( sK10_Xp @ SV37 @ SY55 )
                                    | ( cQ @ SY54 @ SY55 ) )
                              | ~ ! [SY56: a] :
                                    ( ~ ( cQ @ SY54 @ SY56 )
                                    | ( sK10_Xp @ SV37 @ SY56 ) ) ) )
                    | ~ ( sK10_Xp @ SV37 @ ( sK11_SY32 @ SV37 ) ) )
              | ~ ( sK10_Xp @ SV37 @ SV37 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[318]) ).

thf(322,plain,
    ( ( ~ ~ ( ~ ( cQ @ sK4_Xx @ sK5_SY21 )
            | ~ ( cQ @ sK5_SY21 @ sK6_SY23 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[319]) ).

thf(323,plain,
    ( ( ~ ~ ( cQ @ sK4_Xx @ sK6_SY23 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[319]) ).

thf(324,plain,
    ! [SV38: a > $o] :
      ( ( ( ~ ( ~ ( SV38 @ ( sK8_Xx @ SV38 ) )
              | ~ ~ ( ~ ( ~ ( SV38 @ ( sK9_SY24 @ SV38 ) )
                        | ~ ( cQ @ ( sK8_Xx @ SV38 ) @ ( sK9_SY24 @ SV38 ) ) )
                    | ~ ( ( SV38 @ ( sK9_SY24 @ SV38 ) )
                        | ( cQ @ ( sK8_Xx @ SV38 ) @ ( sK9_SY24 @ SV38 ) ) ) ) )
          | ! [SY57: a] :
              ~ ( SV38 @ SY57 ) )
        = $true )
      | ( ( SV38 @ ( sK7_Xz @ SV38 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[320]) ).

thf(325,plain,
    ! [SV37: a] :
      ( ( ~ ! [SY52: a > $o] :
              ( ~ ( ~ ( SY52 @ ( sK12_Xx0 @ SY52 @ SV37 ) )
                  | ~ ~ ( ~ ( ~ ( SY52 @ ( sK13_SY33 @ SY52 @ SV37 ) )
                            | ~ ( cQ @ ( sK12_Xx0 @ SY52 @ SV37 ) @ ( sK13_SY33 @ SY52 @ SV37 ) ) )
                        | ~ ( ( SY52 @ ( sK13_SY33 @ SY52 @ SV37 ) )
                            | ( cQ @ ( sK12_Xx0 @ SY52 @ SV37 ) @ ( sK13_SY33 @ SY52 @ SV37 ) ) ) ) )
              | ! [SX2: a] :
                  ~ ( SY52 @ SX2 )
              | ~ ( SY52 @ SV37 )
              | ( SY52
                = ( sK10_Xp @ SV37 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[321]) ).

thf(326,plain,
    ! [SV37: a] :
      ( ( ~ ~ ( ~ ~ ( ~ ! [SY54: a] :
                          ( ~ ( sK10_Xp @ SV37 @ SY54 )
                          | ~ ( ~ ! [SY55: a] :
                                    ( ~ ( sK10_Xp @ SV37 @ SY55 )
                                    | ( cQ @ SY54 @ SY55 ) )
                              | ~ ! [SY56: a] :
                                    ( ~ ( cQ @ SY54 @ SY56 )
                                    | ( sK10_Xp @ SV37 @ SY56 ) ) ) )
                    | ~ ( sK10_Xp @ SV37 @ ( sK11_SY32 @ SV37 ) ) )
              | ~ ( sK10_Xp @ SV37 @ SV37 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[321]) ).

thf(327,plain,
    ( ( ~ ( ~ ( cQ @ sK4_Xx @ sK5_SY21 )
          | ~ ( cQ @ sK5_SY21 @ sK6_SY23 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[322]) ).

thf(328,plain,
    ( ( ~ ( cQ @ sK4_Xx @ sK6_SY23 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[323]) ).

thf(329,plain,
    ! [SV38: a > $o] :
      ( ( ( ~ ( ~ ( SV38 @ ( sK8_Xx @ SV38 ) )
              | ~ ~ ( ~ ( ~ ( SV38 @ ( sK9_SY24 @ SV38 ) )
                        | ~ ( cQ @ ( sK8_Xx @ SV38 ) @ ( sK9_SY24 @ SV38 ) ) )
                    | ~ ( ( SV38 @ ( sK9_SY24 @ SV38 ) )
                        | ( cQ @ ( sK8_Xx @ SV38 ) @ ( sK9_SY24 @ SV38 ) ) ) ) ) )
        = $true )
      | ( ( ! [SY57: a] :
              ~ ( SV38 @ SY57 ) )
        = $true )
      | ( ( SV38 @ ( sK7_Xz @ SV38 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[324]) ).

thf(330,plain,
    ! [SV37: a] :
      ( ( ! [SY52: a > $o] :
            ( ~ ( ~ ( SY52 @ ( sK12_Xx0 @ SY52 @ SV37 ) )
                | ~ ~ ( ~ ( ~ ( SY52 @ ( sK13_SY33 @ SY52 @ SV37 ) )
                          | ~ ( cQ @ ( sK12_Xx0 @ SY52 @ SV37 ) @ ( sK13_SY33 @ SY52 @ SV37 ) ) )
                      | ~ ( ( SY52 @ ( sK13_SY33 @ SY52 @ SV37 ) )
                          | ( cQ @ ( sK12_Xx0 @ SY52 @ SV37 ) @ ( sK13_SY33 @ SY52 @ SV37 ) ) ) ) )
            | ! [SX2: a] :
                ~ ( SY52 @ SX2 )
            | ~ ( SY52 @ SV37 )
            | ( SY52
              = ( sK10_Xp @ SV37 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[325]) ).

thf(331,plain,
    ! [SV37: a] :
      ( ( ~ ( ~ ~ ( ~ ! [SY54: a] :
                        ( ~ ( sK10_Xp @ SV37 @ SY54 )
                        | ~ ( ~ ! [SY55: a] :
                                  ( ~ ( sK10_Xp @ SV37 @ SY55 )
                                  | ( cQ @ SY54 @ SY55 ) )
                            | ~ ! [SY56: a] :
                                  ( ~ ( cQ @ SY54 @ SY56 )
                                  | ( sK10_Xp @ SV37 @ SY56 ) ) ) )
                  | ~ ( sK10_Xp @ SV37 @ ( sK11_SY32 @ SV37 ) ) )
            | ~ ( sK10_Xp @ SV37 @ SV37 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[326]) ).

thf(332,plain,
    ( ( ~ ( cQ @ sK4_Xx @ sK5_SY21 )
      | ~ ( cQ @ sK5_SY21 @ sK6_SY23 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[327]) ).

thf(333,plain,
    ( ( cQ @ sK4_Xx @ sK6_SY23 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[328]) ).

thf(334,plain,
    ! [SV38: a > $o] :
      ( ( ( ~ ( SV38 @ ( sK8_Xx @ SV38 ) )
          | ~ ~ ( ~ ( ~ ( SV38 @ ( sK9_SY24 @ SV38 ) )
                    | ~ ( cQ @ ( sK8_Xx @ SV38 ) @ ( sK9_SY24 @ SV38 ) ) )
                | ~ ( ( SV38 @ ( sK9_SY24 @ SV38 ) )
                    | ( cQ @ ( sK8_Xx @ SV38 ) @ ( sK9_SY24 @ SV38 ) ) ) ) )
        = $false )
      | ( ( ! [SY57: a] :
              ~ ( SV38 @ SY57 ) )
        = $true )
      | ( ( SV38 @ ( sK7_Xz @ SV38 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[329]) ).

thf(335,plain,
    ! [SV37: a,SV39: a > $o] :
      ( ( ~ ( ~ ( SV39 @ ( sK12_Xx0 @ SV39 @ SV37 ) )
            | ~ ~ ( ~ ( ~ ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
                      | ~ ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) ) )
                  | ~ ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
                      | ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) ) ) ) )
        | ! [SY58: a] :
            ~ ( SV39 @ SY58 )
        | ~ ( SV39 @ SV37 )
        | ( SV39
          = ( sK10_Xp @ SV37 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[330]) ).

thf(336,plain,
    ! [SV37: a] :
      ( ( ~ ~ ( ~ ! [SY54: a] :
                    ( ~ ( sK10_Xp @ SV37 @ SY54 )
                    | ~ ( ~ ! [SY55: a] :
                              ( ~ ( sK10_Xp @ SV37 @ SY55 )
                              | ( cQ @ SY54 @ SY55 ) )
                        | ~ ! [SY56: a] :
                              ( ~ ( cQ @ SY54 @ SY56 )
                              | ( sK10_Xp @ SV37 @ SY56 ) ) ) )
              | ~ ( sK10_Xp @ SV37 @ ( sK11_SY32 @ SV37 ) ) )
        | ~ ( sK10_Xp @ SV37 @ SV37 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[331]) ).

thf(337,plain,
    ( ( ~ ( cQ @ sK4_Xx @ sK5_SY21 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[332]) ).

thf(338,plain,
    ( ( ~ ( cQ @ sK5_SY21 @ sK6_SY23 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[332]) ).

thf(339,plain,
    ! [SV38: a > $o] :
      ( ( ( ~ ( SV38 @ ( sK8_Xx @ SV38 ) ) )
        = $false )
      | ( ( ! [SY57: a] :
              ~ ( SV38 @ SY57 ) )
        = $true )
      | ( ( SV38 @ ( sK7_Xz @ SV38 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[334]) ).

thf(340,plain,
    ! [SV38: a > $o] :
      ( ( ( ~ ~ ( ~ ( ~ ( SV38 @ ( sK9_SY24 @ SV38 ) )
                    | ~ ( cQ @ ( sK8_Xx @ SV38 ) @ ( sK9_SY24 @ SV38 ) ) )
                | ~ ( ( SV38 @ ( sK9_SY24 @ SV38 ) )
                    | ( cQ @ ( sK8_Xx @ SV38 ) @ ( sK9_SY24 @ SV38 ) ) ) ) )
        = $false )
      | ( ( ! [SY57: a] :
              ~ ( SV38 @ SY57 ) )
        = $true )
      | ( ( SV38 @ ( sK7_Xz @ SV38 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[334]) ).

thf(341,plain,
    ! [SV37: a,SV39: a > $o] :
      ( ( ( ~ ( ~ ( SV39 @ ( sK12_Xx0 @ SV39 @ SV37 ) )
              | ~ ~ ( ~ ( ~ ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
                        | ~ ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) ) )
                    | ~ ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
                        | ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) ) ) ) )
          | ! [SY58: a] :
              ~ ( SV39 @ SY58 )
          | ~ ( SV39 @ SV37 ) )
        = $true )
      | ( ( SV39
          = ( sK10_Xp @ SV37 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[335]) ).

thf(342,plain,
    ! [SV37: a] :
      ( ( ~ ~ ( ~ ! [SY54: a] :
                    ( ~ ( sK10_Xp @ SV37 @ SY54 )
                    | ~ ( ~ ! [SY55: a] :
                              ( ~ ( sK10_Xp @ SV37 @ SY55 )
                              | ( cQ @ SY54 @ SY55 ) )
                        | ~ ! [SY56: a] :
                              ( ~ ( cQ @ SY54 @ SY56 )
                              | ( sK10_Xp @ SV37 @ SY56 ) ) ) )
              | ~ ( sK10_Xp @ SV37 @ ( sK11_SY32 @ SV37 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[336]) ).

thf(343,plain,
    ! [SV37: a] :
      ( ( ~ ( sK10_Xp @ SV37 @ SV37 ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[336]) ).

thf(344,plain,
    ( ( cQ @ sK4_Xx @ sK5_SY21 )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[337]) ).

thf(345,plain,
    ( ( cQ @ sK5_SY21 @ sK6_SY23 )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[338]) ).

thf(346,plain,
    ! [SV38: a > $o] :
      ( ( ( SV38 @ ( sK8_Xx @ SV38 ) )
        = $true )
      | ( ( ! [SY57: a] :
              ~ ( SV38 @ SY57 ) )
        = $true )
      | ( ( SV38 @ ( sK7_Xz @ SV38 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[339]) ).

thf(347,plain,
    ! [SV38: a > $o] :
      ( ( ( ~ ( ~ ( ~ ( SV38 @ ( sK9_SY24 @ SV38 ) )
                  | ~ ( cQ @ ( sK8_Xx @ SV38 ) @ ( sK9_SY24 @ SV38 ) ) )
              | ~ ( ( SV38 @ ( sK9_SY24 @ SV38 ) )
                  | ( cQ @ ( sK8_Xx @ SV38 ) @ ( sK9_SY24 @ SV38 ) ) ) ) )
        = $true )
      | ( ( ! [SY57: a] :
              ~ ( SV38 @ SY57 ) )
        = $true )
      | ( ( SV38 @ ( sK7_Xz @ SV38 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[340]) ).

thf(348,plain,
    ! [SV37: a,SV39: a > $o] :
      ( ( ( ~ ( ~ ( SV39 @ ( sK12_Xx0 @ SV39 @ SV37 ) )
              | ~ ~ ( ~ ( ~ ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
                        | ~ ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) ) )
                    | ~ ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
                        | ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) ) ) ) )
          | ! [SY58: a] :
              ~ ( SV39 @ SY58 ) )
        = $true )
      | ( ( ~ ( SV39 @ SV37 ) )
        = $true )
      | ( ( SV39
          = ( sK10_Xp @ SV37 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[341]) ).

thf(349,plain,
    ! [SV37: a] :
      ( ( ~ ( ~ ! [SY54: a] :
                  ( ~ ( sK10_Xp @ SV37 @ SY54 )
                  | ~ ( ~ ! [SY55: a] :
                            ( ~ ( sK10_Xp @ SV37 @ SY55 )
                            | ( cQ @ SY54 @ SY55 ) )
                      | ~ ! [SY56: a] :
                            ( ~ ( cQ @ SY54 @ SY56 )
                            | ( sK10_Xp @ SV37 @ SY56 ) ) ) )
            | ~ ( sK10_Xp @ SV37 @ ( sK11_SY32 @ SV37 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[342]) ).

thf(350,plain,
    ! [SV37: a] :
      ( ( sK10_Xp @ SV37 @ SV37 )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[343]) ).

thf(351,plain,
    ! [SV40: a,SV38: a > $o] :
      ( ( ( ~ ( SV38 @ SV40 ) )
        = $true )
      | ( ( SV38 @ ( sK8_Xx @ SV38 ) )
        = $true )
      | ( ( SV38 @ ( sK7_Xz @ SV38 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[346]) ).

thf(352,plain,
    ! [SV38: a > $o] :
      ( ( ( ~ ( ~ ( SV38 @ ( sK9_SY24 @ SV38 ) )
              | ~ ( cQ @ ( sK8_Xx @ SV38 ) @ ( sK9_SY24 @ SV38 ) ) )
          | ~ ( ( SV38 @ ( sK9_SY24 @ SV38 ) )
              | ( cQ @ ( sK8_Xx @ SV38 ) @ ( sK9_SY24 @ SV38 ) ) ) )
        = $false )
      | ( ( ! [SY57: a] :
              ~ ( SV38 @ SY57 ) )
        = $true )
      | ( ( SV38 @ ( sK7_Xz @ SV38 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[347]) ).

thf(353,plain,
    ! [SV37: a,SV39: a > $o] :
      ( ( ( ~ ( ~ ( SV39 @ ( sK12_Xx0 @ SV39 @ SV37 ) )
              | ~ ~ ( ~ ( ~ ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
                        | ~ ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) ) )
                    | ~ ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
                        | ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) ) ) ) ) )
        = $true )
      | ( ( ! [SY58: a] :
              ~ ( SV39 @ SY58 ) )
        = $true )
      | ( ( ~ ( SV39 @ SV37 ) )
        = $true )
      | ( ( SV39
          = ( sK10_Xp @ SV37 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[348]) ).

thf(354,plain,
    ! [SV37: a] :
      ( ( ~ ! [SY54: a] :
              ( ~ ( sK10_Xp @ SV37 @ SY54 )
              | ~ ( ~ ! [SY55: a] :
                        ( ~ ( sK10_Xp @ SV37 @ SY55 )
                        | ( cQ @ SY54 @ SY55 ) )
                  | ~ ! [SY56: a] :
                        ( ~ ( cQ @ SY54 @ SY56 )
                        | ( sK10_Xp @ SV37 @ SY56 ) ) ) )
        | ~ ( sK10_Xp @ SV37 @ ( sK11_SY32 @ SV37 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[349]) ).

thf(355,plain,
    ! [SV40: a,SV38: a > $o] :
      ( ( ( SV38 @ SV40 )
        = $false )
      | ( ( SV38 @ ( sK8_Xx @ SV38 ) )
        = $true )
      | ( ( SV38 @ ( sK7_Xz @ SV38 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[351]) ).

thf(356,plain,
    ! [SV38: a > $o] :
      ( ( ( ~ ( ~ ( SV38 @ ( sK9_SY24 @ SV38 ) )
              | ~ ( cQ @ ( sK8_Xx @ SV38 ) @ ( sK9_SY24 @ SV38 ) ) ) )
        = $false )
      | ( ( ! [SY57: a] :
              ~ ( SV38 @ SY57 ) )
        = $true )
      | ( ( SV38 @ ( sK7_Xz @ SV38 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[352]) ).

thf(357,plain,
    ! [SV38: a > $o] :
      ( ( ( ~ ( ( SV38 @ ( sK9_SY24 @ SV38 ) )
              | ( cQ @ ( sK8_Xx @ SV38 ) @ ( sK9_SY24 @ SV38 ) ) ) )
        = $false )
      | ( ( ! [SY57: a] :
              ~ ( SV38 @ SY57 ) )
        = $true )
      | ( ( SV38 @ ( sK7_Xz @ SV38 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[352]) ).

thf(358,plain,
    ! [SV37: a,SV39: a > $o] :
      ( ( ( ~ ( SV39 @ ( sK12_Xx0 @ SV39 @ SV37 ) )
          | ~ ~ ( ~ ( ~ ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
                    | ~ ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) ) )
                | ~ ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
                    | ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) ) ) ) )
        = $false )
      | ( ( ! [SY58: a] :
              ~ ( SV39 @ SY58 ) )
        = $true )
      | ( ( ~ ( SV39 @ SV37 ) )
        = $true )
      | ( ( SV39
          = ( sK10_Xp @ SV37 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[353]) ).

thf(359,plain,
    ! [SV37: a] :
      ( ( ~ ! [SY54: a] :
              ( ~ ( sK10_Xp @ SV37 @ SY54 )
              | ~ ( ~ ! [SY55: a] :
                        ( ~ ( sK10_Xp @ SV37 @ SY55 )
                        | ( cQ @ SY54 @ SY55 ) )
                  | ~ ! [SY56: a] :
                        ( ~ ( cQ @ SY54 @ SY56 )
                        | ( sK10_Xp @ SV37 @ SY56 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[354]) ).

thf(360,plain,
    ! [SV37: a] :
      ( ( ~ ( sK10_Xp @ SV37 @ ( sK11_SY32 @ SV37 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[354]) ).

thf(361,plain,
    ! [SV38: a > $o] :
      ( ( ( ~ ( SV38 @ ( sK9_SY24 @ SV38 ) )
          | ~ ( cQ @ ( sK8_Xx @ SV38 ) @ ( sK9_SY24 @ SV38 ) ) )
        = $true )
      | ( ( ! [SY57: a] :
              ~ ( SV38 @ SY57 ) )
        = $true )
      | ( ( SV38 @ ( sK7_Xz @ SV38 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[356]) ).

thf(362,plain,
    ! [SV38: a > $o] :
      ( ( ( ( SV38 @ ( sK9_SY24 @ SV38 ) )
          | ( cQ @ ( sK8_Xx @ SV38 ) @ ( sK9_SY24 @ SV38 ) ) )
        = $true )
      | ( ( ! [SY57: a] :
              ~ ( SV38 @ SY57 ) )
        = $true )
      | ( ( SV38 @ ( sK7_Xz @ SV38 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[357]) ).

thf(363,plain,
    ! [SV37: a,SV39: a > $o] :
      ( ( ( ~ ( SV39 @ ( sK12_Xx0 @ SV39 @ SV37 ) ) )
        = $false )
      | ( ( ! [SY58: a] :
              ~ ( SV39 @ SY58 ) )
        = $true )
      | ( ( ~ ( SV39 @ SV37 ) )
        = $true )
      | ( ( SV39
          = ( sK10_Xp @ SV37 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[358]) ).

thf(364,plain,
    ! [SV37: a,SV39: a > $o] :
      ( ( ( ~ ~ ( ~ ( ~ ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
                    | ~ ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) ) )
                | ~ ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
                    | ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) ) ) ) )
        = $false )
      | ( ( ! [SY58: a] :
              ~ ( SV39 @ SY58 ) )
        = $true )
      | ( ( ~ ( SV39 @ SV37 ) )
        = $true )
      | ( ( SV39
          = ( sK10_Xp @ SV37 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[358]) ).

thf(365,plain,
    ! [SV37: a] :
      ( ( ! [SY54: a] :
            ( ~ ( sK10_Xp @ SV37 @ SY54 )
            | ~ ( ~ ! [SY55: a] :
                      ( ~ ( sK10_Xp @ SV37 @ SY55 )
                      | ( cQ @ SY54 @ SY55 ) )
                | ~ ! [SY56: a] :
                      ( ~ ( cQ @ SY54 @ SY56 )
                      | ( sK10_Xp @ SV37 @ SY56 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[359]) ).

thf(366,plain,
    ! [SV37: a] :
      ( ( sK10_Xp @ SV37 @ ( sK11_SY32 @ SV37 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[360]) ).

thf(367,plain,
    ! [SV38: a > $o] :
      ( ( ( ~ ( SV38 @ ( sK9_SY24 @ SV38 ) ) )
        = $true )
      | ( ( ~ ( cQ @ ( sK8_Xx @ SV38 ) @ ( sK9_SY24 @ SV38 ) ) )
        = $true )
      | ( ( ! [SY57: a] :
              ~ ( SV38 @ SY57 ) )
        = $true )
      | ( ( SV38 @ ( sK7_Xz @ SV38 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[361]) ).

thf(368,plain,
    ! [SV38: a > $o] :
      ( ( ( SV38 @ ( sK9_SY24 @ SV38 ) )
        = $true )
      | ( ( cQ @ ( sK8_Xx @ SV38 ) @ ( sK9_SY24 @ SV38 ) )
        = $true )
      | ( ( ! [SY57: a] :
              ~ ( SV38 @ SY57 ) )
        = $true )
      | ( ( SV38 @ ( sK7_Xz @ SV38 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[362]) ).

thf(369,plain,
    ! [SV37: a,SV39: a > $o] :
      ( ( ( SV39 @ ( sK12_Xx0 @ SV39 @ SV37 ) )
        = $true )
      | ( ( ! [SY58: a] :
              ~ ( SV39 @ SY58 ) )
        = $true )
      | ( ( ~ ( SV39 @ SV37 ) )
        = $true )
      | ( ( SV39
          = ( sK10_Xp @ SV37 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[363]) ).

thf(370,plain,
    ! [SV37: a,SV39: a > $o] :
      ( ( ( ~ ( ~ ( ~ ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
                  | ~ ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) ) )
              | ~ ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
                  | ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) ) ) ) )
        = $true )
      | ( ( ! [SY58: a] :
              ~ ( SV39 @ SY58 ) )
        = $true )
      | ( ( ~ ( SV39 @ SV37 ) )
        = $true )
      | ( ( SV39
          = ( sK10_Xp @ SV37 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[364]) ).

thf(371,plain,
    ! [SV41: a,SV37: a] :
      ( ( ~ ( sK10_Xp @ SV37 @ SV41 )
        | ~ ( ~ ! [SY59: a] :
                  ( ~ ( sK10_Xp @ SV37 @ SY59 )
                  | ( cQ @ SV41 @ SY59 ) )
            | ~ ! [SY60: a] :
                  ( ~ ( cQ @ SV41 @ SY60 )
                  | ( sK10_Xp @ SV37 @ SY60 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[365]) ).

thf(372,plain,
    ! [SV38: a > $o] :
      ( ( ( SV38 @ ( sK9_SY24 @ SV38 ) )
        = $false )
      | ( ( ~ ( cQ @ ( sK8_Xx @ SV38 ) @ ( sK9_SY24 @ SV38 ) ) )
        = $true )
      | ( ( ! [SY57: a] :
              ~ ( SV38 @ SY57 ) )
        = $true )
      | ( ( SV38 @ ( sK7_Xz @ SV38 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[367]) ).

thf(373,plain,
    ! [SV42: a,SV38: a > $o] :
      ( ( ( ~ ( SV38 @ SV42 ) )
        = $true )
      | ( ( cQ @ ( sK8_Xx @ SV38 ) @ ( sK9_SY24 @ SV38 ) )
        = $true )
      | ( ( SV38 @ ( sK9_SY24 @ SV38 ) )
        = $true )
      | ( ( SV38 @ ( sK7_Xz @ SV38 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[368]) ).

thf(374,plain,
    ! [SV37: a,SV43: a,SV39: a > $o] :
      ( ( ( ~ ( SV39 @ SV43 ) )
        = $true )
      | ( ( SV39 @ ( sK12_Xx0 @ SV39 @ SV37 ) )
        = $true )
      | ( ( ~ ( SV39 @ SV37 ) )
        = $true )
      | ( ( SV39
          = ( sK10_Xp @ SV37 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[369]) ).

thf(375,plain,
    ! [SV37: a,SV39: a > $o] :
      ( ( ( ~ ( ~ ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
              | ~ ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) ) )
          | ~ ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
              | ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) ) ) )
        = $false )
      | ( ( ! [SY58: a] :
              ~ ( SV39 @ SY58 ) )
        = $true )
      | ( ( ~ ( SV39 @ SV37 ) )
        = $true )
      | ( ( SV39
          = ( sK10_Xp @ SV37 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[370]) ).

thf(376,plain,
    ! [SV41: a,SV37: a] :
      ( ( ( ~ ( sK10_Xp @ SV37 @ SV41 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY59: a] :
                    ( ~ ( sK10_Xp @ SV37 @ SY59 )
                    | ( cQ @ SV41 @ SY59 ) )
              | ~ ! [SY60: a] :
                    ( ~ ( cQ @ SV41 @ SY60 )
                    | ( sK10_Xp @ SV37 @ SY60 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[371]) ).

thf(377,plain,
    ! [SV38: a > $o] :
      ( ( ( cQ @ ( sK8_Xx @ SV38 ) @ ( sK9_SY24 @ SV38 ) )
        = $false )
      | ( ( SV38 @ ( sK9_SY24 @ SV38 ) )
        = $false )
      | ( ( ! [SY57: a] :
              ~ ( SV38 @ SY57 ) )
        = $true )
      | ( ( SV38 @ ( sK7_Xz @ SV38 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[372]) ).

thf(378,plain,
    ! [SV42: a,SV38: a > $o] :
      ( ( ( SV38 @ SV42 )
        = $false )
      | ( ( cQ @ ( sK8_Xx @ SV38 ) @ ( sK9_SY24 @ SV38 ) )
        = $true )
      | ( ( SV38 @ ( sK9_SY24 @ SV38 ) )
        = $true )
      | ( ( SV38 @ ( sK7_Xz @ SV38 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[373]) ).

thf(379,plain,
    ! [SV37: a,SV43: a,SV39: a > $o] :
      ( ( ( SV39 @ SV43 )
        = $false )
      | ( ( SV39 @ ( sK12_Xx0 @ SV39 @ SV37 ) )
        = $true )
      | ( ( ~ ( SV39 @ SV37 ) )
        = $true )
      | ( ( SV39
          = ( sK10_Xp @ SV37 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[374]) ).

thf(380,plain,
    ! [SV37: a,SV39: a > $o] :
      ( ( ( ~ ( ~ ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
              | ~ ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) ) ) )
        = $false )
      | ( ( ! [SY58: a] :
              ~ ( SV39 @ SY58 ) )
        = $true )
      | ( ( ~ ( SV39 @ SV37 ) )
        = $true )
      | ( ( SV39
          = ( sK10_Xp @ SV37 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[375]) ).

thf(381,plain,
    ! [SV37: a,SV39: a > $o] :
      ( ( ( ~ ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
              | ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) ) ) )
        = $false )
      | ( ( ! [SY58: a] :
              ~ ( SV39 @ SY58 ) )
        = $true )
      | ( ( ~ ( SV39 @ SV37 ) )
        = $true )
      | ( ( SV39
          = ( sK10_Xp @ SV37 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[375]) ).

thf(382,plain,
    ! [SV41: a,SV37: a] :
      ( ( ( sK10_Xp @ SV37 @ SV41 )
        = $false )
      | ( ( ~ ( ~ ! [SY59: a] :
                    ( ~ ( sK10_Xp @ SV37 @ SY59 )
                    | ( cQ @ SV41 @ SY59 ) )
              | ~ ! [SY60: a] :
                    ( ~ ( cQ @ SV41 @ SY60 )
                    | ( sK10_Xp @ SV37 @ SY60 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[376]) ).

thf(383,plain,
    ! [SV44: a,SV38: a > $o] :
      ( ( ( ~ ( SV38 @ SV44 ) )
        = $true )
      | ( ( SV38 @ ( sK9_SY24 @ SV38 ) )
        = $false )
      | ( ( cQ @ ( sK8_Xx @ SV38 ) @ ( sK9_SY24 @ SV38 ) )
        = $false )
      | ( ( SV38 @ ( sK7_Xz @ SV38 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[377]) ).

thf(384,plain,
    ! [SV43: a,SV37: a,SV39: a > $o] :
      ( ( ( SV39 @ SV37 )
        = $false )
      | ( ( SV39 @ ( sK12_Xx0 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ SV43 )
        = $false )
      | ( ( SV39
          = ( sK10_Xp @ SV37 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[379]) ).

thf(385,plain,
    ! [SV37: a,SV39: a > $o] :
      ( ( ( ~ ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
          | ~ ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) ) )
        = $true )
      | ( ( ! [SY58: a] :
              ~ ( SV39 @ SY58 ) )
        = $true )
      | ( ( ~ ( SV39 @ SV37 ) )
        = $true )
      | ( ( SV39
          = ( sK10_Xp @ SV37 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[380]) ).

thf(386,plain,
    ! [SV37: a,SV39: a > $o] :
      ( ( ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
          | ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) ) )
        = $true )
      | ( ( ! [SY58: a] :
              ~ ( SV39 @ SY58 ) )
        = $true )
      | ( ( ~ ( SV39 @ SV37 ) )
        = $true )
      | ( ( SV39
          = ( sK10_Xp @ SV37 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[381]) ).

thf(387,plain,
    ! [SV41: a,SV37: a] :
      ( ( ( ~ ! [SY59: a] :
                ( ~ ( sK10_Xp @ SV37 @ SY59 )
                | ( cQ @ SV41 @ SY59 ) )
          | ~ ! [SY60: a] :
                ( ~ ( cQ @ SV41 @ SY60 )
                | ( sK10_Xp @ SV37 @ SY60 ) ) )
        = $false )
      | ( ( sK10_Xp @ SV37 @ SV41 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[382]) ).

thf(388,plain,
    ! [SV44: a,SV38: a > $o] :
      ( ( ( SV38 @ SV44 )
        = $false )
      | ( ( SV38 @ ( sK9_SY24 @ SV38 ) )
        = $false )
      | ( ( cQ @ ( sK8_Xx @ SV38 ) @ ( sK9_SY24 @ SV38 ) )
        = $false )
      | ( ( SV38 @ ( sK7_Xz @ SV38 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[383]) ).

thf(389,plain,
    ! [SV43: a,SV37: a,SV39: a > $o] :
      ( ( ( ! [SV45: a] :
              ( ( SV39 @ SV45 )
              = ( sK10_Xp @ SV37 @ SV45 ) ) )
        = $true )
      | ( ( SV39 @ SV43 )
        = $false )
      | ( ( SV39 @ ( sK12_Xx0 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ SV37 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[384]) ).

thf(390,plain,
    ! [SV43: a,SV37: a,SV39: a > $o] :
      ( ( ( SV39
          = ( sK10_Xp @ SV37 ) )
        = $true )
      | ( ( SV39 @ SV43 )
        = $false )
      | ( ( SV39 @ ( sK12_Xx0 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ SV37 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[384]) ).

thf(391,plain,
    ! [SV37: a,SV39: a > $o] :
      ( ( ( ~ ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) ) )
        = $true )
      | ( ( ~ ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) ) )
        = $true )
      | ( ( ! [SY58: a] :
              ~ ( SV39 @ SY58 ) )
        = $true )
      | ( ( ~ ( SV39 @ SV37 ) )
        = $true )
      | ( ( SV39
          = ( sK10_Xp @ SV37 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[385]) ).

thf(392,plain,
    ! [SV37: a,SV39: a > $o] :
      ( ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $true )
      | ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $true )
      | ( ( ! [SY58: a] :
              ~ ( SV39 @ SY58 ) )
        = $true )
      | ( ( ~ ( SV39 @ SV37 ) )
        = $true )
      | ( ( SV39
          = ( sK10_Xp @ SV37 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[386]) ).

thf(393,plain,
    ! [SV41: a,SV37: a] :
      ( ( ( ~ ! [SY59: a] :
                ( ~ ( sK10_Xp @ SV37 @ SY59 )
                | ( cQ @ SV41 @ SY59 ) ) )
        = $false )
      | ( ( sK10_Xp @ SV37 @ SV41 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[387]) ).

thf(394,plain,
    ! [SV37: a,SV41: a] :
      ( ( ( ~ ! [SY60: a] :
                ( ~ ( cQ @ SV41 @ SY60 )
                | ( sK10_Xp @ SV37 @ SY60 ) ) )
        = $false )
      | ( ( sK10_Xp @ SV37 @ SV41 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[387]) ).

thf(395,plain,
    ! [SV43: a,SV37: a,SV46: a,SV39: a > $o] :
      ( ( ( ( SV39 @ SV46 )
          = ( sK10_Xp @ SV37 @ SV46 ) )
        = $true )
      | ( ( SV39 @ SV43 )
        = $false )
      | ( ( SV39 @ ( sK12_Xx0 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ SV37 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[389]) ).

thf(396,plain,
    ! [SV37: a,SV39: a > $o] :
      ( ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $false )
      | ( ( ~ ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) ) )
        = $true )
      | ( ( ! [SY58: a] :
              ~ ( SV39 @ SY58 ) )
        = $true )
      | ( ( ~ ( SV39 @ SV37 ) )
        = $true )
      | ( ( SV39
          = ( sK10_Xp @ SV37 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[391]) ).

thf(397,plain,
    ! [SV37: a,SV47: a,SV39: a > $o] :
      ( ( ( ~ ( SV39 @ SV47 ) )
        = $true )
      | ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $true )
      | ( ( ~ ( SV39 @ SV37 ) )
        = $true )
      | ( ( SV39
          = ( sK10_Xp @ SV37 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[392]) ).

thf(398,plain,
    ! [SV41: a,SV37: a] :
      ( ( ( ! [SY59: a] :
              ( ~ ( sK10_Xp @ SV37 @ SY59 )
              | ( cQ @ SV41 @ SY59 ) ) )
        = $true )
      | ( ( sK10_Xp @ SV37 @ SV41 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[393]) ).

thf(399,plain,
    ! [SV37: a,SV41: a] :
      ( ( ( ! [SY60: a] :
              ( ~ ( cQ @ SV41 @ SY60 )
              | ( sK10_Xp @ SV37 @ SY60 ) ) )
        = $true )
      | ( ( sK10_Xp @ SV37 @ SV41 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[394]) ).

thf(400,plain,
    ! [SV43: a,SV37: a,SV46: a,SV39: a > $o] :
      ( ( ( ~ ( ( SV39 @ SV46 )
              | ( sK10_Xp @ SV37 @ SV46 ) )
          | ~ ( ~ ( SV39 @ SV46 )
              | ~ ( sK10_Xp @ SV37 @ SV46 ) ) )
        = $true )
      | ( ( SV39 @ SV43 )
        = $false )
      | ( ( SV39 @ ( sK12_Xx0 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ SV37 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[395]) ).

thf(401,plain,
    ! [SV43: a,SV37: a,SV46: a,SV39: a > $o] :
      ( ( ( ( SV39 @ SV46 )
          = ( sK10_Xp @ SV37 @ SV46 ) )
        = $true )
      | ( ( SV39 @ SV43 )
        = $false )
      | ( ( SV39 @ ( sK12_Xx0 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ SV37 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[395]) ).

thf(402,plain,
    ! [SV37: a,SV39: a > $o] :
      ( ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $false )
      | ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $false )
      | ( ( ! [SY58: a] :
              ~ ( SV39 @ SY58 ) )
        = $true )
      | ( ( ~ ( SV39 @ SV37 ) )
        = $true )
      | ( ( SV39
          = ( sK10_Xp @ SV37 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[396]) ).

thf(403,plain,
    ! [SV37: a,SV47: a,SV39: a > $o] :
      ( ( ( SV39 @ SV47 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $true )
      | ( ( ~ ( SV39 @ SV37 ) )
        = $true )
      | ( ( SV39
          = ( sK10_Xp @ SV37 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[397]) ).

thf(404,plain,
    ! [SV41: a,SV48: a,SV37: a] :
      ( ( ( ~ ( sK10_Xp @ SV37 @ SV48 )
          | ( cQ @ SV41 @ SV48 ) )
        = $true )
      | ( ( sK10_Xp @ SV37 @ SV41 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[398]) ).

thf(405,plain,
    ! [SV37: a,SV49: a,SV41: a] :
      ( ( ( ~ ( cQ @ SV41 @ SV49 )
          | ( sK10_Xp @ SV37 @ SV49 ) )
        = $true )
      | ( ( sK10_Xp @ SV37 @ SV41 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[399]) ).

thf(406,plain,
    ! [SV43: a,SV37: a,SV46: a,SV39: a > $o] :
      ( ( ( ~ ( ( SV39 @ SV46 )
              | ( sK10_Xp @ SV37 @ SV46 ) ) )
        = $true )
      | ( ( ~ ( ~ ( SV39 @ SV46 )
              | ~ ( sK10_Xp @ SV37 @ SV46 ) ) )
        = $true )
      | ( ( SV39 @ SV43 )
        = $false )
      | ( ( SV39 @ ( sK12_Xx0 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ SV37 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[400]) ).

thf(407,plain,
    ! [SV37: a,SV50: a,SV39: a > $o] :
      ( ( ( ~ ( SV39 @ SV50 ) )
        = $true )
      | ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $false )
      | ( ( ~ ( SV39 @ SV37 ) )
        = $true )
      | ( ( SV39
          = ( sK10_Xp @ SV37 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[402]) ).

thf(408,plain,
    ! [SV47: a,SV37: a,SV39: a > $o] :
      ( ( ( SV39 @ SV37 )
        = $false )
      | ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $true )
      | ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ SV47 )
        = $false )
      | ( ( SV39
          = ( sK10_Xp @ SV37 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[403]) ).

thf(409,plain,
    ! [SV41: a,SV48: a,SV37: a] :
      ( ( ( ~ ( sK10_Xp @ SV37 @ SV48 ) )
        = $true )
      | ( ( cQ @ SV41 @ SV48 )
        = $true )
      | ( ( sK10_Xp @ SV37 @ SV41 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[404]) ).

thf(410,plain,
    ! [SV37: a,SV49: a,SV41: a] :
      ( ( ( ~ ( cQ @ SV41 @ SV49 ) )
        = $true )
      | ( ( sK10_Xp @ SV37 @ SV49 )
        = $true )
      | ( ( sK10_Xp @ SV37 @ SV41 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[405]) ).

thf(411,plain,
    ! [SV43: a,SV37: a,SV46: a,SV39: a > $o] :
      ( ( ( ( SV39 @ SV46 )
          | ( sK10_Xp @ SV37 @ SV46 ) )
        = $false )
      | ( ( ~ ( ~ ( SV39 @ SV46 )
              | ~ ( sK10_Xp @ SV37 @ SV46 ) ) )
        = $true )
      | ( ( SV39 @ SV43 )
        = $false )
      | ( ( SV39 @ ( sK12_Xx0 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ SV37 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[406]) ).

thf(412,plain,
    ! [SV37: a,SV50: a,SV39: a > $o] :
      ( ( ( SV39 @ SV50 )
        = $false )
      | ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $false )
      | ( ( ~ ( SV39 @ SV37 ) )
        = $true )
      | ( ( SV39
          = ( sK10_Xp @ SV37 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[407]) ).

thf(413,plain,
    ! [SV47: a,SV37: a,SV39: a > $o] :
      ( ( ( ! [SV51: a] :
              ( ( SV39 @ SV51 )
              = ( sK10_Xp @ SV37 @ SV51 ) ) )
        = $true )
      | ( ( SV39 @ SV47 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ SV37 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[408]) ).

thf(414,plain,
    ! [SV47: a,SV37: a,SV39: a > $o] :
      ( ( ( SV39
          = ( sK10_Xp @ SV37 ) )
        = $true )
      | ( ( SV39 @ SV47 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ SV37 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[408]) ).

thf(415,plain,
    ! [SV41: a,SV48: a,SV37: a] :
      ( ( ( sK10_Xp @ SV37 @ SV48 )
        = $false )
      | ( ( cQ @ SV41 @ SV48 )
        = $true )
      | ( ( sK10_Xp @ SV37 @ SV41 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[409]) ).

thf(416,plain,
    ! [SV37: a,SV49: a,SV41: a] :
      ( ( ( cQ @ SV41 @ SV49 )
        = $false )
      | ( ( sK10_Xp @ SV37 @ SV49 )
        = $true )
      | ( ( sK10_Xp @ SV37 @ SV41 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[410]) ).

thf(417,plain,
    ! [SV43: a,SV37: a,SV46: a,SV39: a > $o] :
      ( ( ( SV39 @ SV46 )
        = $false )
      | ( ( ~ ( ~ ( SV39 @ SV46 )
              | ~ ( sK10_Xp @ SV37 @ SV46 ) ) )
        = $true )
      | ( ( SV39 @ SV43 )
        = $false )
      | ( ( SV39 @ ( sK12_Xx0 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ SV37 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[411]) ).

thf(418,plain,
    ! [SV43: a,SV39: a > $o,SV46: a,SV37: a] :
      ( ( ( sK10_Xp @ SV37 @ SV46 )
        = $false )
      | ( ( ~ ( ~ ( SV39 @ SV46 )
              | ~ ( sK10_Xp @ SV37 @ SV46 ) ) )
        = $true )
      | ( ( SV39 @ SV43 )
        = $false )
      | ( ( SV39 @ ( sK12_Xx0 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ SV37 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[411]) ).

thf(419,plain,
    ! [SV50: a,SV37: a,SV39: a > $o] :
      ( ( ( SV39 @ SV37 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $false )
      | ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $false )
      | ( ( SV39 @ SV50 )
        = $false )
      | ( ( SV39
          = ( sK10_Xp @ SV37 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[412]) ).

thf(420,plain,
    ! [SV47: a,SV37: a,SV52: a,SV39: a > $o] :
      ( ( ( ( SV39 @ SV52 )
          = ( sK10_Xp @ SV37 @ SV52 ) )
        = $true )
      | ( ( SV39 @ SV47 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ SV37 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[413]) ).

thf(421,plain,
    ! [SV43: a,SV37: a,SV46: a,SV39: a > $o] :
      ( ( ( ~ ( SV39 @ SV46 )
          | ~ ( sK10_Xp @ SV37 @ SV46 ) )
        = $false )
      | ( ( SV39 @ SV46 )
        = $false )
      | ( ( SV39 @ SV43 )
        = $false )
      | ( ( SV39 @ ( sK12_Xx0 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ SV37 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[417]) ).

thf(422,plain,
    ! [SV43: a,SV37: a,SV46: a,SV39: a > $o] :
      ( ( ( ~ ( SV39 @ SV46 )
          | ~ ( sK10_Xp @ SV37 @ SV46 ) )
        = $false )
      | ( ( sK10_Xp @ SV37 @ SV46 )
        = $false )
      | ( ( SV39 @ SV43 )
        = $false )
      | ( ( SV39 @ ( sK12_Xx0 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ SV37 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[418]) ).

thf(423,plain,
    ! [SV50: a,SV37: a,SV39: a > $o] :
      ( ( ( ! [SV53: a] :
              ( ( SV39 @ SV53 )
              = ( sK10_Xp @ SV37 @ SV53 ) ) )
        = $true )
      | ( ( SV39 @ SV50 )
        = $false )
      | ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $false )
      | ( ( SV39 @ SV37 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[419]) ).

thf(424,plain,
    ! [SV50: a,SV37: a,SV39: a > $o] :
      ( ( ( SV39
          = ( sK10_Xp @ SV37 ) )
        = $true )
      | ( ( SV39 @ SV50 )
        = $false )
      | ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $false )
      | ( ( SV39 @ SV37 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[419]) ).

thf(425,plain,
    ! [SV47: a,SV37: a,SV52: a,SV39: a > $o] :
      ( ( ( ~ ( ( SV39 @ SV52 )
              | ( sK10_Xp @ SV37 @ SV52 ) )
          | ~ ( ~ ( SV39 @ SV52 )
              | ~ ( sK10_Xp @ SV37 @ SV52 ) ) )
        = $true )
      | ( ( SV39 @ SV47 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ SV37 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[420]) ).

thf(426,plain,
    ! [SV47: a,SV37: a,SV52: a,SV39: a > $o] :
      ( ( ( ( SV39 @ SV52 )
          = ( sK10_Xp @ SV37 @ SV52 ) )
        = $true )
      | ( ( SV39 @ SV47 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ SV37 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[420]) ).

thf(427,plain,
    ! [SV37: a,SV43: a,SV46: a,SV39: a > $o] :
      ( ( ( ~ ( SV39 @ SV46 ) )
        = $false )
      | ( ( SV39 @ SV46 )
        = $false )
      | ( ( SV39 @ SV43 )
        = $false )
      | ( ( SV39 @ ( sK12_Xx0 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ SV37 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[421]) ).

thf(428,plain,
    ! [SV43: a,SV39: a > $o,SV46: a,SV37: a] :
      ( ( ( ~ ( sK10_Xp @ SV37 @ SV46 ) )
        = $false )
      | ( ( SV39 @ SV46 )
        = $false )
      | ( ( SV39 @ SV43 )
        = $false )
      | ( ( SV39 @ ( sK12_Xx0 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ SV37 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[421]) ).

thf(429,plain,
    ! [SV43: a,SV37: a,SV46: a,SV39: a > $o] :
      ( ( ( ~ ( SV39 @ SV46 ) )
        = $false )
      | ( ( sK10_Xp @ SV37 @ SV46 )
        = $false )
      | ( ( SV39 @ SV43 )
        = $false )
      | ( ( SV39 @ ( sK12_Xx0 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ SV37 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[422]) ).

thf(430,plain,
    ! [SV43: a,SV39: a > $o,SV46: a,SV37: a] :
      ( ( ( ~ ( sK10_Xp @ SV37 @ SV46 ) )
        = $false )
      | ( ( sK10_Xp @ SV37 @ SV46 )
        = $false )
      | ( ( SV39 @ SV43 )
        = $false )
      | ( ( SV39 @ ( sK12_Xx0 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ SV37 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[422]) ).

thf(431,plain,
    ! [SV50: a,SV37: a,SV54: a,SV39: a > $o] :
      ( ( ( ( SV39 @ SV54 )
          = ( sK10_Xp @ SV37 @ SV54 ) )
        = $true )
      | ( ( SV39 @ SV50 )
        = $false )
      | ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $false )
      | ( ( SV39 @ SV37 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[423]) ).

thf(432,plain,
    ! [SV47: a,SV37: a,SV52: a,SV39: a > $o] :
      ( ( ( ~ ( ( SV39 @ SV52 )
              | ( sK10_Xp @ SV37 @ SV52 ) ) )
        = $true )
      | ( ( ~ ( ~ ( SV39 @ SV52 )
              | ~ ( sK10_Xp @ SV37 @ SV52 ) ) )
        = $true )
      | ( ( SV39 @ SV47 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ SV37 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[425]) ).

thf(433,plain,
    ! [SV37: a,SV43: a,SV46: a,SV39: a > $o] :
      ( ( ( SV39 @ SV46 )
        = $true )
      | ( ( SV39 @ SV46 )
        = $false )
      | ( ( SV39 @ SV43 )
        = $false )
      | ( ( SV39 @ ( sK12_Xx0 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ SV37 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[427]) ).

thf(434,plain,
    ! [SV43: a,SV39: a > $o,SV46: a,SV37: a] :
      ( ( ( sK10_Xp @ SV37 @ SV46 )
        = $true )
      | ( ( SV39 @ SV46 )
        = $false )
      | ( ( SV39 @ SV43 )
        = $false )
      | ( ( SV39 @ ( sK12_Xx0 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ SV37 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[428]) ).

thf(435,plain,
    ! [SV43: a,SV37: a,SV46: a,SV39: a > $o] :
      ( ( ( SV39 @ SV46 )
        = $true )
      | ( ( sK10_Xp @ SV37 @ SV46 )
        = $false )
      | ( ( SV39 @ SV43 )
        = $false )
      | ( ( SV39 @ ( sK12_Xx0 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ SV37 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[429]) ).

thf(436,plain,
    ! [SV43: a,SV39: a > $o,SV46: a,SV37: a] :
      ( ( ( sK10_Xp @ SV37 @ SV46 )
        = $true )
      | ( ( sK10_Xp @ SV37 @ SV46 )
        = $false )
      | ( ( SV39 @ SV43 )
        = $false )
      | ( ( SV39 @ ( sK12_Xx0 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ SV37 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[430]) ).

thf(437,plain,
    ! [SV50: a,SV37: a,SV54: a,SV39: a > $o] :
      ( ( ( ~ ( ( SV39 @ SV54 )
              | ( sK10_Xp @ SV37 @ SV54 ) )
          | ~ ( ~ ( SV39 @ SV54 )
              | ~ ( sK10_Xp @ SV37 @ SV54 ) ) )
        = $true )
      | ( ( SV39 @ SV50 )
        = $false )
      | ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $false )
      | ( ( SV39 @ SV37 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[431]) ).

thf(438,plain,
    ! [SV50: a,SV37: a,SV54: a,SV39: a > $o] :
      ( ( ( ( SV39 @ SV54 )
          = ( sK10_Xp @ SV37 @ SV54 ) )
        = $true )
      | ( ( SV39 @ SV50 )
        = $false )
      | ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $false )
      | ( ( SV39 @ SV37 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[431]) ).

thf(439,plain,
    ! [SV47: a,SV37: a,SV52: a,SV39: a > $o] :
      ( ( ( ( SV39 @ SV52 )
          | ( sK10_Xp @ SV37 @ SV52 ) )
        = $false )
      | ( ( ~ ( ~ ( SV39 @ SV52 )
              | ~ ( sK10_Xp @ SV37 @ SV52 ) ) )
        = $true )
      | ( ( SV39 @ SV47 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ SV37 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[432]) ).

thf(440,plain,
    ! [SV50: a,SV37: a,SV54: a,SV39: a > $o] :
      ( ( ( ~ ( ( SV39 @ SV54 )
              | ( sK10_Xp @ SV37 @ SV54 ) ) )
        = $true )
      | ( ( ~ ( ~ ( SV39 @ SV54 )
              | ~ ( sK10_Xp @ SV37 @ SV54 ) ) )
        = $true )
      | ( ( SV39 @ SV50 )
        = $false )
      | ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $false )
      | ( ( SV39 @ SV37 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[437]) ).

thf(441,plain,
    ! [SV47: a,SV37: a,SV52: a,SV39: a > $o] :
      ( ( ( SV39 @ SV52 )
        = $false )
      | ( ( ~ ( ~ ( SV39 @ SV52 )
              | ~ ( sK10_Xp @ SV37 @ SV52 ) ) )
        = $true )
      | ( ( SV39 @ SV47 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ SV37 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[439]) ).

thf(442,plain,
    ! [SV47: a,SV39: a > $o,SV52: a,SV37: a] :
      ( ( ( sK10_Xp @ SV37 @ SV52 )
        = $false )
      | ( ( ~ ( ~ ( SV39 @ SV52 )
              | ~ ( sK10_Xp @ SV37 @ SV52 ) ) )
        = $true )
      | ( ( SV39 @ SV47 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ SV37 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[439]) ).

thf(443,plain,
    ! [SV50: a,SV37: a,SV54: a,SV39: a > $o] :
      ( ( ( ( SV39 @ SV54 )
          | ( sK10_Xp @ SV37 @ SV54 ) )
        = $false )
      | ( ( ~ ( ~ ( SV39 @ SV54 )
              | ~ ( sK10_Xp @ SV37 @ SV54 ) ) )
        = $true )
      | ( ( SV39 @ SV50 )
        = $false )
      | ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $false )
      | ( ( SV39 @ SV37 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[440]) ).

thf(444,plain,
    ! [SV47: a,SV37: a,SV52: a,SV39: a > $o] :
      ( ( ( ~ ( SV39 @ SV52 )
          | ~ ( sK10_Xp @ SV37 @ SV52 ) )
        = $false )
      | ( ( SV39 @ SV52 )
        = $false )
      | ( ( SV39 @ SV47 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ SV37 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[441]) ).

thf(445,plain,
    ! [SV47: a,SV37: a,SV52: a,SV39: a > $o] :
      ( ( ( ~ ( SV39 @ SV52 )
          | ~ ( sK10_Xp @ SV37 @ SV52 ) )
        = $false )
      | ( ( sK10_Xp @ SV37 @ SV52 )
        = $false )
      | ( ( SV39 @ SV47 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ SV37 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[442]) ).

thf(446,plain,
    ! [SV50: a,SV37: a,SV54: a,SV39: a > $o] :
      ( ( ( SV39 @ SV54 )
        = $false )
      | ( ( ~ ( ~ ( SV39 @ SV54 )
              | ~ ( sK10_Xp @ SV37 @ SV54 ) ) )
        = $true )
      | ( ( SV39 @ SV50 )
        = $false )
      | ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $false )
      | ( ( SV39 @ SV37 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[443]) ).

thf(447,plain,
    ! [SV50: a,SV39: a > $o,SV54: a,SV37: a] :
      ( ( ( sK10_Xp @ SV37 @ SV54 )
        = $false )
      | ( ( ~ ( ~ ( SV39 @ SV54 )
              | ~ ( sK10_Xp @ SV37 @ SV54 ) ) )
        = $true )
      | ( ( SV39 @ SV50 )
        = $false )
      | ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $false )
      | ( ( SV39 @ SV37 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[443]) ).

thf(448,plain,
    ! [SV37: a,SV47: a,SV52: a,SV39: a > $o] :
      ( ( ( ~ ( SV39 @ SV52 ) )
        = $false )
      | ( ( SV39 @ SV52 )
        = $false )
      | ( ( SV39 @ SV47 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ SV37 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[444]) ).

thf(449,plain,
    ! [SV47: a,SV39: a > $o,SV52: a,SV37: a] :
      ( ( ( ~ ( sK10_Xp @ SV37 @ SV52 ) )
        = $false )
      | ( ( SV39 @ SV52 )
        = $false )
      | ( ( SV39 @ SV47 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ SV37 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[444]) ).

thf(450,plain,
    ! [SV47: a,SV37: a,SV52: a,SV39: a > $o] :
      ( ( ( ~ ( SV39 @ SV52 ) )
        = $false )
      | ( ( sK10_Xp @ SV37 @ SV52 )
        = $false )
      | ( ( SV39 @ SV47 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ SV37 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[445]) ).

thf(451,plain,
    ! [SV47: a,SV39: a > $o,SV52: a,SV37: a] :
      ( ( ( ~ ( sK10_Xp @ SV37 @ SV52 ) )
        = $false )
      | ( ( sK10_Xp @ SV37 @ SV52 )
        = $false )
      | ( ( SV39 @ SV47 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ SV37 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[445]) ).

thf(452,plain,
    ! [SV50: a,SV37: a,SV54: a,SV39: a > $o] :
      ( ( ( ~ ( SV39 @ SV54 )
          | ~ ( sK10_Xp @ SV37 @ SV54 ) )
        = $false )
      | ( ( SV39 @ SV54 )
        = $false )
      | ( ( SV39 @ SV50 )
        = $false )
      | ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $false )
      | ( ( SV39 @ SV37 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[446]) ).

thf(453,plain,
    ! [SV50: a,SV37: a,SV54: a,SV39: a > $o] :
      ( ( ( ~ ( SV39 @ SV54 )
          | ~ ( sK10_Xp @ SV37 @ SV54 ) )
        = $false )
      | ( ( sK10_Xp @ SV37 @ SV54 )
        = $false )
      | ( ( SV39 @ SV50 )
        = $false )
      | ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $false )
      | ( ( SV39 @ SV37 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[447]) ).

thf(454,plain,
    ! [SV37: a,SV47: a,SV52: a,SV39: a > $o] :
      ( ( ( SV39 @ SV52 )
        = $true )
      | ( ( SV39 @ SV52 )
        = $false )
      | ( ( SV39 @ SV47 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ SV37 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[448]) ).

thf(455,plain,
    ! [SV47: a,SV39: a > $o,SV52: a,SV37: a] :
      ( ( ( sK10_Xp @ SV37 @ SV52 )
        = $true )
      | ( ( SV39 @ SV52 )
        = $false )
      | ( ( SV39 @ SV47 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ SV37 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[449]) ).

thf(456,plain,
    ! [SV47: a,SV37: a,SV52: a,SV39: a > $o] :
      ( ( ( SV39 @ SV52 )
        = $true )
      | ( ( sK10_Xp @ SV37 @ SV52 )
        = $false )
      | ( ( SV39 @ SV47 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ SV37 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[450]) ).

thf(457,plain,
    ! [SV47: a,SV39: a > $o,SV52: a,SV37: a] :
      ( ( ( sK10_Xp @ SV37 @ SV52 )
        = $true )
      | ( ( sK10_Xp @ SV37 @ SV52 )
        = $false )
      | ( ( SV39 @ SV47 )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $true )
      | ( ( SV39 @ SV37 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[451]) ).

thf(458,plain,
    ! [SV37: a,SV50: a,SV54: a,SV39: a > $o] :
      ( ( ( ~ ( SV39 @ SV54 ) )
        = $false )
      | ( ( SV39 @ SV54 )
        = $false )
      | ( ( SV39 @ SV50 )
        = $false )
      | ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $false )
      | ( ( SV39 @ SV37 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[452]) ).

thf(459,plain,
    ! [SV50: a,SV39: a > $o,SV54: a,SV37: a] :
      ( ( ( ~ ( sK10_Xp @ SV37 @ SV54 ) )
        = $false )
      | ( ( SV39 @ SV54 )
        = $false )
      | ( ( SV39 @ SV50 )
        = $false )
      | ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $false )
      | ( ( SV39 @ SV37 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[452]) ).

thf(460,plain,
    ! [SV50: a,SV37: a,SV54: a,SV39: a > $o] :
      ( ( ( ~ ( SV39 @ SV54 ) )
        = $false )
      | ( ( sK10_Xp @ SV37 @ SV54 )
        = $false )
      | ( ( SV39 @ SV50 )
        = $false )
      | ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $false )
      | ( ( SV39 @ SV37 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[453]) ).

thf(461,plain,
    ! [SV50: a,SV39: a > $o,SV54: a,SV37: a] :
      ( ( ( ~ ( sK10_Xp @ SV37 @ SV54 ) )
        = $false )
      | ( ( sK10_Xp @ SV37 @ SV54 )
        = $false )
      | ( ( SV39 @ SV50 )
        = $false )
      | ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $false )
      | ( ( SV39 @ SV37 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[453]) ).

thf(462,plain,
    ! [SV37: a,SV50: a,SV54: a,SV39: a > $o] :
      ( ( ( SV39 @ SV54 )
        = $true )
      | ( ( SV39 @ SV54 )
        = $false )
      | ( ( SV39 @ SV50 )
        = $false )
      | ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $false )
      | ( ( SV39 @ SV37 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[458]) ).

thf(463,plain,
    ! [SV50: a,SV39: a > $o,SV54: a,SV37: a] :
      ( ( ( sK10_Xp @ SV37 @ SV54 )
        = $true )
      | ( ( SV39 @ SV54 )
        = $false )
      | ( ( SV39 @ SV50 )
        = $false )
      | ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $false )
      | ( ( SV39 @ SV37 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[459]) ).

thf(464,plain,
    ! [SV50: a,SV37: a,SV54: a,SV39: a > $o] :
      ( ( ( SV39 @ SV54 )
        = $true )
      | ( ( sK10_Xp @ SV37 @ SV54 )
        = $false )
      | ( ( SV39 @ SV50 )
        = $false )
      | ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $false )
      | ( ( SV39 @ SV37 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[460]) ).

thf(465,plain,
    ! [SV50: a,SV39: a > $o,SV54: a,SV37: a] :
      ( ( ( sK10_Xp @ SV37 @ SV54 )
        = $true )
      | ( ( sK10_Xp @ SV37 @ SV54 )
        = $false )
      | ( ( SV39 @ SV50 )
        = $false )
      | ( ( SV39 @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $false )
      | ( ( cQ @ ( sK12_Xx0 @ SV39 @ SV37 ) @ ( sK13_SY33 @ SV39 @ SV37 ) )
        = $false )
      | ( ( SV39 @ SV37 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[461]) ).

thf(466,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[333,465,464,463,462,457,456,455,454,438,436,435,434,433,426,424,416,415,414,401,390,388,378,366,355,350,345,344]) ).

thf(467,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[466,161,311]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEV028^5 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34  % Computer : n019.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Tue Jun 28 03:24:54 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  
% 0.12/0.35   No.of.Axioms: 0
% 0.12/0.35  
% 0.12/0.35   Length.of.Defs: 0
% 0.12/0.35  
% 0.12/0.35   Contains.Choice.Funs: false
% 0.12/0.35  (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)...................
% 0.40/0.61  
% 0.40/0.61  ********************************
% 0.40/0.61  *   All subproblems solved!    *
% 0.40/0.61  ********************************
% 0.40/0.61  % SZS status Theorem for /export/starexec/sandbox/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:466,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.49/0.70  
% 0.49/0.70  %**** Beginning of derivation protocol ****
% 0.49/0.70  % SZS output start CNFRefutation
% See solution above
% 0.49/0.71  
% 0.49/0.71  %**** End of derivation protocol ****
% 0.49/0.71  %**** no. of clauses in derivation: 467 ****
% 0.49/0.71  %**** clause counter: 466 ****
% 0.49/0.71  
% 0.49/0.71  % SZS status Theorem for /export/starexec/sandbox/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:466,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------