TSTP Solution File: PHI010+1 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : PHI010+1 : TPTP v8.1.0. Released v7.2.0.
% Transfm  : none
% Format   : tptp
% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s

% Computer : n017.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 : Mon Jul 18 16:47:20 EDT 2022

% Result   : Theorem 0.20s 0.50s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   36
%            Number of leaves      :   15
% Syntax   : Number of formulae    :  194 (  70 unt;  10 typ;   0 def)
%            Number of atoms       : 2761 (1005 equ;   0 cnn)
%            Maximal formula atoms :   11 (  15 avg)
%            Number of connectives : 4748 (1074   ~;1097   |;  56   &;2495   @)
%                                         (   2 <=>;  24  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   17 (  17   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  10 usr;   5 con; 0-4 aty)
%            Number of variables   :  612 (   0   ^ 610   !;   2   ?; 612   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_exemplifies_property,type,
    exemplifies_property: $i > $i > $o ).

thf(tp_is_the,type,
    is_the: $i > $i > $o ).

thf(tp_object,type,
    object: $i > $o ).

thf(tp_property,type,
    property: $i > $o ).

thf(tp_sK1_X,type,
    sK1_X: $i ).

thf(tp_sK2_SY13,type,
    sK2_SY13: $i ).

thf(tp_sK3_SY15,type,
    sK3_SY15: $i ).

thf(tp_sK4_Z,type,
    sK4_Z: $i > $i > $i > $i > $i ).

thf(tp_sK5_Z,type,
    sK5_Z: $i > $i > $i > $i > $i ).

thf(tp_sK6_Y,type,
    sK6_Y: $i > $i > $i > $i ).

thf(1,axiom,
    ! [F: $i,X: $i,W: $i] :
      ( ( ( property @ F )
        & ( object @ X )
        & ( object @ W ) )
     => ( ( ( is_the @ X @ F )
          & ( X = W ) )
      <=> ? [Y: $i] :
            ( ( object @ Y )
            & ( exemplifies_property @ F @ Y )
            & ! [Z: $i] :
                ( ( object @ Z )
               => ( ( exemplifies_property @ F @ Z )
                 => ( Z = Y ) ) )
            & ( Y = W ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',description_axiom_identity_instance) ).

thf(2,axiom,
    ! [X: $i,F: $i] :
      ( ( is_the @ X @ F )
     => ( ( property @ F )
        & ( object @ X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',description_is_property_and_described_is_object) ).

thf(3,axiom,
    ! [X: $i,F: $i] :
      ( ( exemplifies_property @ F @ X )
     => ( ( property @ F )
        & ( object @ X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplifier_is_object_and_exemplified_is_property) ).

thf(4,axiom,
    ! [X: $i] :
      ( ( object @ X )
     => ~ ( property @ X ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',objects_are_not_properties) ).

thf(5,conjecture,
    ! [X: $i,F: $i,Y: $i] :
      ( ( ( object @ X )
        & ( property @ F )
        & ( object @ Y ) )
     => ( ( ( is_the @ X @ F )
          & ( X = Y ) )
       => ( exemplifies_property @ F @ Y ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1) ).

thf(6,negated_conjecture,
    ( ( ! [X: $i,F: $i,Y: $i] :
          ( ( ( object @ X )
            & ( property @ F )
            & ( object @ Y ) )
         => ( ( ( is_the @ X @ F )
              & ( X = Y ) )
           => ( exemplifies_property @ F @ Y ) ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[5]) ).

thf(7,plain,
    ( ( ! [X: $i,F: $i,Y: $i] :
          ( ( ( object @ X )
            & ( property @ F )
            & ( object @ Y ) )
         => ( ( ( is_the @ X @ F )
              & ( X = Y ) )
           => ( exemplifies_property @ F @ Y ) ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[6]) ).

thf(8,plain,
    ( ( ! [F: $i,X: $i,W: $i] :
          ( ( ( property @ F )
            & ( object @ X )
            & ( object @ W ) )
         => ( ( ( is_the @ X @ F )
              & ( X = W ) )
          <=> ? [Y: $i] :
                ( ( object @ Y )
                & ( exemplifies_property @ F @ Y )
                & ! [Z: $i] :
                    ( ( object @ Z )
                   => ( ( exemplifies_property @ F @ Z )
                     => ( Z = Y ) ) )
                & ( Y = W ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1]) ).

thf(9,plain,
    ( ( ! [X: $i,F: $i] :
          ( ( is_the @ X @ F )
         => ( ( property @ F )
            & ( object @ X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(10,plain,
    ( ( ! [X: $i,F: $i] :
          ( ( exemplifies_property @ F @ X )
         => ( ( property @ F )
            & ( object @ X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3]) ).

thf(11,plain,
    ( ( ! [X: $i] :
          ( ( object @ X )
         => ~ ( property @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[4]) ).

thf(12,plain,
    ( ( ! [SY13: $i,SY14: $i] :
          ( ( ( object @ sK1_X )
            & ( property @ SY13 )
            & ( object @ SY14 ) )
         => ( ( ( is_the @ sK1_X @ SY13 )
              & ( sK1_X = SY14 ) )
           => ( exemplifies_property @ SY13 @ SY14 ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[7]) ).

thf(13,plain,
    ( ( ! [SY15: $i] :
          ( ( ( object @ sK1_X )
            & ( property @ sK2_SY13 )
            & ( object @ SY15 ) )
         => ( ( ( is_the @ sK1_X @ sK2_SY13 )
              & ( sK1_X = SY15 ) )
           => ( exemplifies_property @ sK2_SY13 @ SY15 ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[12]) ).

thf(14,plain,
    ( ( ( ( object @ sK1_X )
        & ( property @ sK2_SY13 )
        & ( object @ sK3_SY15 ) )
     => ( ( ( is_the @ sK1_X @ sK2_SY13 )
          & ( sK1_X = sK3_SY15 ) )
       => ( exemplifies_property @ sK2_SY13 @ sK3_SY15 ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[13]) ).

thf(15,plain,
    ( ( object @ sK1_X )
    = $true ),
    inference(standard_cnf,[status(thm)],[14]) ).

thf(16,plain,
    ( ( property @ sK2_SY13 )
    = $true ),
    inference(standard_cnf,[status(thm)],[14]) ).

thf(17,plain,
    ( ( object @ sK3_SY15 )
    = $true ),
    inference(standard_cnf,[status(thm)],[14]) ).

thf(18,plain,
    ( ( is_the @ sK1_X @ sK2_SY13 )
    = $true ),
    inference(standard_cnf,[status(thm)],[14]) ).

thf(19,plain,
    ( ( sK1_X = sK3_SY15 )
    = $true ),
    inference(standard_cnf,[status(thm)],[14]) ).

thf(20,plain,
    ( ( exemplifies_property @ sK2_SY13 @ sK3_SY15 )
    = $false ),
    inference(standard_cnf,[status(thm)],[14]) ).

thf(21,plain,
    ( ( ~ ( exemplifies_property @ sK2_SY13 @ sK3_SY15 ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[20]) ).

thf(22,plain,
    ( ( ! [F: $i] :
          ( ! [X: $i,W: $i] :
              ( ~ ( object @ X )
              | ~ ( property @ F )
              | ~ ( object @ W )
              | ( X != W )
              | ~ ( is_the @ X @ F )
              | ( ! [SY16: $i] :
                    ( ~ ( object @ SY16 )
                    | ~ ( exemplifies_property @ F @ SY16 )
                    | ( SY16
                      = ( sK6_Y @ W @ X @ F ) ) )
                & ( exemplifies_property @ F @ ( sK6_Y @ W @ X @ F ) )
                & ( object @ ( sK6_Y @ W @ X @ F ) )
                & ( ( sK6_Y @ W @ X @ F )
                  = W ) ) )
          & ! [X: $i,W: $i] :
              ( ~ ( object @ X )
              | ~ ( property @ F )
              | ~ ( object @ W )
              | ! [Y: $i] :
                  ( ( ( object @ ( sK5_Z @ Y @ W @ X @ F ) )
                    & ( exemplifies_property @ F @ ( sK5_Z @ Y @ W @ X @ F ) )
                    & ( ( sK5_Z @ Y @ W @ X @ F )
                     != Y ) )
                  | ~ ( exemplifies_property @ F @ Y )
                  | ~ ( object @ Y )
                  | ( Y != W ) )
              | ( X = W ) )
          & ! [X: $i,W: $i] :
              ( ~ ( object @ X )
              | ~ ( property @ F )
              | ~ ( object @ W )
              | ! [Y: $i] :
                  ( ( ( object @ ( sK4_Z @ Y @ W @ X @ F ) )
                    & ( exemplifies_property @ F @ ( sK4_Z @ Y @ W @ X @ F ) )
                    & ( ( sK4_Z @ Y @ W @ X @ F )
                     != Y ) )
                  | ~ ( exemplifies_property @ F @ Y )
                  | ~ ( object @ Y )
                  | ( Y != W ) )
              | ( is_the @ X @ F ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[8]) ).

thf(23,plain,
    ( ( ! [X: $i] :
          ( ! [F: $i] :
              ~ ( is_the @ X @ F )
          | ( object @ X ) )
      & ! [X: $i,F: $i] :
          ( ~ ( is_the @ X @ F )
          | ( property @ F ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[9]) ).

thf(24,plain,
    ( ( ! [X: $i] :
          ( ! [F: $i] :
              ~ ( exemplifies_property @ F @ X )
          | ( object @ X ) )
      & ! [X: $i,F: $i] :
          ( ~ ( exemplifies_property @ F @ X )
          | ( property @ F ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[10]) ).

thf(25,plain,
    ( ( ! [X: $i] :
          ( ~ ( object @ X )
          | ~ ( property @ X ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[11]) ).

thf(26,plain,
    ( ( ! [X: $i] :
          ( ~ ( object @ X )
          | ~ ( property @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[25]) ).

thf(27,plain,
    ( ( ! [X: $i] :
          ( ! [F: $i] :
              ~ ( exemplifies_property @ F @ X )
          | ( object @ X ) )
      & ! [X: $i,F: $i] :
          ( ~ ( exemplifies_property @ F @ X )
          | ( property @ F ) ) )
    = $true ),
    inference(copy,[status(thm)],[24]) ).

thf(28,plain,
    ( ( ! [X: $i] :
          ( ! [F: $i] :
              ~ ( is_the @ X @ F )
          | ( object @ X ) )
      & ! [X: $i,F: $i] :
          ( ~ ( is_the @ X @ F )
          | ( property @ F ) ) )
    = $true ),
    inference(copy,[status(thm)],[23]) ).

thf(29,plain,
    ( ( ! [F: $i] :
          ( ! [X: $i,W: $i] :
              ( ~ ( object @ X )
              | ~ ( property @ F )
              | ~ ( object @ W )
              | ( X != W )
              | ~ ( is_the @ X @ F )
              | ( ! [SY16: $i] :
                    ( ~ ( object @ SY16 )
                    | ~ ( exemplifies_property @ F @ SY16 )
                    | ( SY16
                      = ( sK6_Y @ W @ X @ F ) ) )
                & ( exemplifies_property @ F @ ( sK6_Y @ W @ X @ F ) )
                & ( object @ ( sK6_Y @ W @ X @ F ) )
                & ( ( sK6_Y @ W @ X @ F )
                  = W ) ) )
          & ! [X: $i,W: $i] :
              ( ~ ( object @ X )
              | ~ ( property @ F )
              | ~ ( object @ W )
              | ! [Y: $i] :
                  ( ( ( object @ ( sK5_Z @ Y @ W @ X @ F ) )
                    & ( exemplifies_property @ F @ ( sK5_Z @ Y @ W @ X @ F ) )
                    & ( ( sK5_Z @ Y @ W @ X @ F )
                     != Y ) )
                  | ~ ( exemplifies_property @ F @ Y )
                  | ~ ( object @ Y )
                  | ( Y != W ) )
              | ( X = W ) )
          & ! [X: $i,W: $i] :
              ( ~ ( object @ X )
              | ~ ( property @ F )
              | ~ ( object @ W )
              | ! [Y: $i] :
                  ( ( ( object @ ( sK4_Z @ Y @ W @ X @ F ) )
                    & ( exemplifies_property @ F @ ( sK4_Z @ Y @ W @ X @ F ) )
                    & ( ( sK4_Z @ Y @ W @ X @ F )
                     != Y ) )
                  | ~ ( exemplifies_property @ F @ Y )
                  | ~ ( object @ Y )
                  | ( Y != W ) )
              | ( is_the @ X @ F ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[22]) ).

thf(30,plain,
    ( ( sK1_X = sK3_SY15 )
    = $true ),
    inference(copy,[status(thm)],[19]) ).

thf(31,plain,
    ( ( is_the @ sK1_X @ sK2_SY13 )
    = $true ),
    inference(copy,[status(thm)],[18]) ).

thf(32,plain,
    ( ( object @ sK3_SY15 )
    = $true ),
    inference(copy,[status(thm)],[17]) ).

thf(33,plain,
    ( ( property @ sK2_SY13 )
    = $true ),
    inference(copy,[status(thm)],[16]) ).

thf(34,plain,
    ( ( object @ sK1_X )
    = $true ),
    inference(copy,[status(thm)],[15]) ).

thf(35,plain,
    ( ( ~ ( exemplifies_property @ sK2_SY13 @ sK3_SY15 ) )
    = $true ),
    inference(copy,[status(thm)],[21]) ).

thf(36,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ! [SX1: $i,SX2: $i] :
                  ( ~ ( object @ SX1 )
                  | ~ ( property @ SX0 )
                  | ~ ( object @ SX2 )
                  | ( SX1 != SX2 )
                  | ~ ( is_the @ SX1 @ SX0 )
                  | ~ ( ~ ~ ( ~ ! [SX3: $i] :
                                  ( ~ ( object @ SX3 )
                                  | ~ ( exemplifies_property @ SX0 @ SX3 )
                                  | ( SX3
                                    = ( sK6_Y @ SX2 @ SX1 @ SX0 ) ) )
                            | ~ ~ ( ~ ( exemplifies_property @ SX0 @ ( sK6_Y @ SX2 @ SX1 @ SX0 ) )
                                  | ~ ( object @ ( sK6_Y @ SX2 @ SX1 @ SX0 ) ) ) )
                      | ( ( sK6_Y @ SX2 @ SX1 @ SX0 )
                       != SX2 ) ) )
            | ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
                        ( ~ ( object @ SX1 )
                        | ~ ( property @ SX0 )
                        | ~ ( object @ SX2 )
                        | ! [SX3: $i] :
                            ( ~ ( ~ ( object @ ( sK5_Z @ SX3 @ SX2 @ SX1 @ SX0 ) )
                                | ~ ~ ( ~ ( exemplifies_property @ SX0 @ ( sK5_Z @ SX3 @ SX2 @ SX1 @ SX0 ) )
                                      | ~ ( ( ( sK5_Z @ SX3 @ SX2 @ SX1 @ SX0 )
                                           != SX3 ) ) ) )
                            | ~ ( exemplifies_property @ SX0 @ SX3 )
                            | ~ ( object @ SX3 )
                            | ( SX3 != SX2 ) )
                        | ( SX1 = SX2 ) )
                  | ~ ! [SX1: $i,SX2: $i] :
                        ( ~ ( object @ SX1 )
                        | ~ ( property @ SX0 )
                        | ~ ( object @ SX2 )
                        | ! [SX3: $i] :
                            ( ~ ( ~ ( object @ ( sK4_Z @ SX3 @ SX2 @ SX1 @ SX0 ) )
                                | ~ ~ ( ~ ( exemplifies_property @ SX0 @ ( sK4_Z @ SX3 @ SX2 @ SX1 @ SX0 ) )
                                      | ~ ( ( ( sK4_Z @ SX3 @ SX2 @ SX1 @ SX0 )
                                           != SX3 ) ) ) )
                            | ~ ( exemplifies_property @ SX0 @ SX3 )
                            | ~ ( object @ SX3 )
                            | ( SX3 != SX2 ) )
                        | ( is_the @ SX1 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[29]) ).

thf(37,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ! [SX1: $i] :
                    ~ ( is_the @ SX0 @ SX1 )
                | ( object @ SX0 ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( is_the @ SX0 @ SX1 )
                | ( property @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[28]) ).

thf(38,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ! [SX1: $i] :
                    ~ ( exemplifies_property @ SX1 @ SX0 )
                | ( object @ SX0 ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( exemplifies_property @ SX1 @ SX0 )
                | ( property @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[27]) ).

thf(39,plain,
    ! [SV1: $i] :
      ( ( ~ ( object @ SV1 )
        | ~ ( property @ SV1 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[26]) ).

thf(40,plain,
    ( ( exemplifies_property @ sK2_SY13 @ sK3_SY15 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[35]) ).

thf(41,plain,
    ! [SV2: $i] :
      ( ( ~ ( ~ ! [SY17: $i,SY18: $i] :
                  ( ~ ( object @ SY17 )
                  | ~ ( property @ SV2 )
                  | ~ ( object @ SY18 )
                  | ( SY17 != SY18 )
                  | ~ ( is_the @ SY17 @ SV2 )
                  | ~ ( ~ ~ ( ~ ! [SY19: $i] :
                                  ( ~ ( object @ SY19 )
                                  | ~ ( exemplifies_property @ SV2 @ SY19 )
                                  | ( SY19
                                    = ( sK6_Y @ SY18 @ SY17 @ SV2 ) ) )
                            | ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK6_Y @ SY18 @ SY17 @ SV2 ) )
                                  | ~ ( object @ ( sK6_Y @ SY18 @ SY17 @ SV2 ) ) ) )
                      | ( ( sK6_Y @ SY18 @ SY17 @ SV2 )
                       != SY18 ) ) )
            | ~ ~ ( ~ ! [SY20: $i,SY21: $i] :
                        ( ~ ( object @ SY20 )
                        | ~ ( property @ SV2 )
                        | ~ ( object @ SY21 )
                        | ! [SY22: $i] :
                            ( ~ ( ~ ( object @ ( sK5_Z @ SY22 @ SY21 @ SY20 @ SV2 ) )
                                | ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK5_Z @ SY22 @ SY21 @ SY20 @ SV2 ) )
                                      | ~ ( ( ( sK5_Z @ SY22 @ SY21 @ SY20 @ SV2 )
                                           != SY22 ) ) ) )
                            | ~ ( exemplifies_property @ SV2 @ SY22 )
                            | ~ ( object @ SY22 )
                            | ( SY22 != SY21 ) )
                        | ( SY20 = SY21 ) )
                  | ~ ! [SY23: $i,SY24: $i] :
                        ( ~ ( object @ SY23 )
                        | ~ ( property @ SV2 )
                        | ~ ( object @ SY24 )
                        | ! [SY25: $i] :
                            ( ~ ( ~ ( object @ ( sK4_Z @ SY25 @ SY24 @ SY23 @ SV2 ) )
                                | ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK4_Z @ SY25 @ SY24 @ SY23 @ SV2 ) )
                                      | ~ ( ( ( sK4_Z @ SY25 @ SY24 @ SY23 @ SV2 )
                                           != SY25 ) ) ) )
                            | ~ ( exemplifies_property @ SV2 @ SY25 )
                            | ~ ( object @ SY25 )
                            | ( SY25 != SY24 ) )
                        | ( is_the @ SY23 @ SV2 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[36]) ).

thf(42,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( is_the @ SX0 @ SX1 )
            | ( object @ SX0 ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( is_the @ SX0 @ SX1 )
            | ( property @ SX1 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[37]) ).

thf(43,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( exemplifies_property @ SX1 @ SX0 )
            | ( object @ SX0 ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( exemplifies_property @ SX1 @ SX0 )
            | ( property @ SX1 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[38]) ).

thf(44,plain,
    ! [SV1: $i] :
      ( ( ( ~ ( object @ SV1 ) )
        = $true )
      | ( ( ~ ( property @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[39]) ).

thf(45,plain,
    ! [SV2: $i] :
      ( ( ~ ! [SY17: $i,SY18: $i] :
              ( ~ ( object @ SY17 )
              | ~ ( property @ SV2 )
              | ~ ( object @ SY18 )
              | ( SY17 != SY18 )
              | ~ ( is_the @ SY17 @ SV2 )
              | ~ ( ~ ~ ( ~ ! [SY19: $i] :
                              ( ~ ( object @ SY19 )
                              | ~ ( exemplifies_property @ SV2 @ SY19 )
                              | ( SY19
                                = ( sK6_Y @ SY18 @ SY17 @ SV2 ) ) )
                        | ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK6_Y @ SY18 @ SY17 @ SV2 ) )
                              | ~ ( object @ ( sK6_Y @ SY18 @ SY17 @ SV2 ) ) ) )
                  | ( ( sK6_Y @ SY18 @ SY17 @ SV2 )
                   != SY18 ) ) )
        | ~ ~ ( ~ ! [SY20: $i,SY21: $i] :
                    ( ~ ( object @ SY20 )
                    | ~ ( property @ SV2 )
                    | ~ ( object @ SY21 )
                    | ! [SY22: $i] :
                        ( ~ ( ~ ( object @ ( sK5_Z @ SY22 @ SY21 @ SY20 @ SV2 ) )
                            | ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK5_Z @ SY22 @ SY21 @ SY20 @ SV2 ) )
                                  | ~ ( ( ( sK5_Z @ SY22 @ SY21 @ SY20 @ SV2 )
                                       != SY22 ) ) ) )
                        | ~ ( exemplifies_property @ SV2 @ SY22 )
                        | ~ ( object @ SY22 )
                        | ( SY22 != SY21 ) )
                    | ( SY20 = SY21 ) )
              | ~ ! [SY23: $i,SY24: $i] :
                    ( ~ ( object @ SY23 )
                    | ~ ( property @ SV2 )
                    | ~ ( object @ SY24 )
                    | ! [SY25: $i] :
                        ( ~ ( ~ ( object @ ( sK4_Z @ SY25 @ SY24 @ SY23 @ SV2 ) )
                            | ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK4_Z @ SY25 @ SY24 @ SY23 @ SV2 ) )
                                  | ~ ( ( ( sK4_Z @ SY25 @ SY24 @ SY23 @ SV2 )
                                       != SY25 ) ) ) )
                        | ~ ( exemplifies_property @ SV2 @ SY25 )
                        | ~ ( object @ SY25 )
                        | ( SY25 != SY24 ) )
                    | ( is_the @ SY23 @ SV2 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[41]) ).

thf(46,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( is_the @ SX0 @ SX1 )
            | ( object @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[42]) ).

thf(47,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( is_the @ SX0 @ SX1 )
            | ( property @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[42]) ).

thf(48,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( exemplifies_property @ SX1 @ SX0 )
            | ( object @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[43]) ).

thf(49,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( exemplifies_property @ SX1 @ SX0 )
            | ( property @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[43]) ).

thf(50,plain,
    ! [SV1: $i] :
      ( ( ( object @ SV1 )
        = $false )
      | ( ( ~ ( property @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[44]) ).

thf(51,plain,
    ! [SV2: $i] :
      ( ( ~ ! [SY17: $i,SY18: $i] :
              ( ~ ( object @ SY17 )
              | ~ ( property @ SV2 )
              | ~ ( object @ SY18 )
              | ( SY17 != SY18 )
              | ~ ( is_the @ SY17 @ SV2 )
              | ~ ( ~ ~ ( ~ ! [SY19: $i] :
                              ( ~ ( object @ SY19 )
                              | ~ ( exemplifies_property @ SV2 @ SY19 )
                              | ( SY19
                                = ( sK6_Y @ SY18 @ SY17 @ SV2 ) ) )
                        | ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK6_Y @ SY18 @ SY17 @ SV2 ) )
                              | ~ ( object @ ( sK6_Y @ SY18 @ SY17 @ SV2 ) ) ) )
                  | ( ( sK6_Y @ SY18 @ SY17 @ SV2 )
                   != SY18 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[45]) ).

thf(52,plain,
    ! [SV2: $i] :
      ( ( ~ ~ ( ~ ! [SY20: $i,SY21: $i] :
                    ( ~ ( object @ SY20 )
                    | ~ ( property @ SV2 )
                    | ~ ( object @ SY21 )
                    | ! [SY22: $i] :
                        ( ~ ( ~ ( object @ ( sK5_Z @ SY22 @ SY21 @ SY20 @ SV2 ) )
                            | ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK5_Z @ SY22 @ SY21 @ SY20 @ SV2 ) )
                                  | ~ ( ( ( sK5_Z @ SY22 @ SY21 @ SY20 @ SV2 )
                                       != SY22 ) ) ) )
                        | ~ ( exemplifies_property @ SV2 @ SY22 )
                        | ~ ( object @ SY22 )
                        | ( SY22 != SY21 ) )
                    | ( SY20 = SY21 ) )
              | ~ ! [SY23: $i,SY24: $i] :
                    ( ~ ( object @ SY23 )
                    | ~ ( property @ SV2 )
                    | ~ ( object @ SY24 )
                    | ! [SY25: $i] :
                        ( ~ ( ~ ( object @ ( sK4_Z @ SY25 @ SY24 @ SY23 @ SV2 ) )
                            | ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK4_Z @ SY25 @ SY24 @ SY23 @ SV2 ) )
                                  | ~ ( ( ( sK4_Z @ SY25 @ SY24 @ SY23 @ SV2 )
                                       != SY25 ) ) ) )
                        | ~ ( exemplifies_property @ SV2 @ SY25 )
                        | ~ ( object @ SY25 )
                        | ( SY25 != SY24 ) )
                    | ( is_the @ SY23 @ SV2 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[45]) ).

thf(53,plain,
    ( ( ! [SX0: $i] :
          ( ! [SX1: $i] :
              ~ ( is_the @ SX0 @ SX1 )
          | ( object @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[46]) ).

thf(54,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( is_the @ SX0 @ SX1 )
          | ( property @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[47]) ).

thf(55,plain,
    ( ( ! [SX0: $i] :
          ( ! [SX1: $i] :
              ~ ( exemplifies_property @ SX1 @ SX0 )
          | ( object @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[48]) ).

thf(56,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( exemplifies_property @ SX1 @ SX0 )
          | ( property @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[49]) ).

thf(57,plain,
    ! [SV1: $i] :
      ( ( ( property @ SV1 )
        = $false )
      | ( ( object @ SV1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[50]) ).

thf(58,plain,
    ! [SV2: $i] :
      ( ( ! [SY17: $i,SY18: $i] :
            ( ~ ( object @ SY17 )
            | ~ ( property @ SV2 )
            | ~ ( object @ SY18 )
            | ( SY17 != SY18 )
            | ~ ( is_the @ SY17 @ SV2 )
            | ~ ( ~ ~ ( ~ ! [SY19: $i] :
                            ( ~ ( object @ SY19 )
                            | ~ ( exemplifies_property @ SV2 @ SY19 )
                            | ( SY19
                              = ( sK6_Y @ SY18 @ SY17 @ SV2 ) ) )
                      | ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK6_Y @ SY18 @ SY17 @ SV2 ) )
                            | ~ ( object @ ( sK6_Y @ SY18 @ SY17 @ SV2 ) ) ) )
                | ( ( sK6_Y @ SY18 @ SY17 @ SV2 )
                 != SY18 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[51]) ).

thf(59,plain,
    ! [SV2: $i] :
      ( ( ~ ( ~ ! [SY20: $i,SY21: $i] :
                  ( ~ ( object @ SY20 )
                  | ~ ( property @ SV2 )
                  | ~ ( object @ SY21 )
                  | ! [SY22: $i] :
                      ( ~ ( ~ ( object @ ( sK5_Z @ SY22 @ SY21 @ SY20 @ SV2 ) )
                          | ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK5_Z @ SY22 @ SY21 @ SY20 @ SV2 ) )
                                | ~ ( ( ( sK5_Z @ SY22 @ SY21 @ SY20 @ SV2 )
                                     != SY22 ) ) ) )
                      | ~ ( exemplifies_property @ SV2 @ SY22 )
                      | ~ ( object @ SY22 )
                      | ( SY22 != SY21 ) )
                  | ( SY20 = SY21 ) )
            | ~ ! [SY23: $i,SY24: $i] :
                  ( ~ ( object @ SY23 )
                  | ~ ( property @ SV2 )
                  | ~ ( object @ SY24 )
                  | ! [SY25: $i] :
                      ( ~ ( ~ ( object @ ( sK4_Z @ SY25 @ SY24 @ SY23 @ SV2 ) )
                          | ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK4_Z @ SY25 @ SY24 @ SY23 @ SV2 ) )
                                | ~ ( ( ( sK4_Z @ SY25 @ SY24 @ SY23 @ SV2 )
                                     != SY25 ) ) ) )
                      | ~ ( exemplifies_property @ SV2 @ SY25 )
                      | ~ ( object @ SY25 )
                      | ( SY25 != SY24 ) )
                  | ( is_the @ SY23 @ SV2 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[52]) ).

thf(60,plain,
    ! [SV3: $i] :
      ( ( ! [SY26: $i] :
            ~ ( is_the @ SV3 @ SY26 )
        | ( object @ SV3 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[53]) ).

thf(61,plain,
    ! [SV4: $i] :
      ( ( ! [SY27: $i] :
            ( ~ ( is_the @ SV4 @ SY27 )
            | ( property @ SY27 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[54]) ).

thf(62,plain,
    ! [SV5: $i] :
      ( ( ! [SY28: $i] :
            ~ ( exemplifies_property @ SY28 @ SV5 )
        | ( object @ SV5 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[55]) ).

thf(63,plain,
    ! [SV6: $i] :
      ( ( ! [SY29: $i] :
            ( ~ ( exemplifies_property @ SY29 @ SV6 )
            | ( property @ SY29 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[56]) ).

thf(64,plain,
    ! [SV2: $i,SV7: $i] :
      ( ( ! [SY30: $i] :
            ( ~ ( object @ SV7 )
            | ~ ( property @ SV2 )
            | ~ ( object @ SY30 )
            | ( SV7 != SY30 )
            | ~ ( is_the @ SV7 @ SV2 )
            | ~ ( ~ ~ ( ~ ! [SY31: $i] :
                            ( ~ ( object @ SY31 )
                            | ~ ( exemplifies_property @ SV2 @ SY31 )
                            | ( SY31
                              = ( sK6_Y @ SY30 @ SV7 @ SV2 ) ) )
                      | ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK6_Y @ SY30 @ SV7 @ SV2 ) )
                            | ~ ( object @ ( sK6_Y @ SY30 @ SV7 @ SV2 ) ) ) )
                | ( ( sK6_Y @ SY30 @ SV7 @ SV2 )
                 != SY30 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[58]) ).

thf(65,plain,
    ! [SV2: $i] :
      ( ( ~ ! [SY20: $i,SY21: $i] :
              ( ~ ( object @ SY20 )
              | ~ ( property @ SV2 )
              | ~ ( object @ SY21 )
              | ! [SY22: $i] :
                  ( ~ ( ~ ( object @ ( sK5_Z @ SY22 @ SY21 @ SY20 @ SV2 ) )
                      | ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK5_Z @ SY22 @ SY21 @ SY20 @ SV2 ) )
                            | ~ ( ( ( sK5_Z @ SY22 @ SY21 @ SY20 @ SV2 )
                                 != SY22 ) ) ) )
                  | ~ ( exemplifies_property @ SV2 @ SY22 )
                  | ~ ( object @ SY22 )
                  | ( SY22 != SY21 ) )
              | ( SY20 = SY21 ) )
        | ~ ! [SY23: $i,SY24: $i] :
              ( ~ ( object @ SY23 )
              | ~ ( property @ SV2 )
              | ~ ( object @ SY24 )
              | ! [SY25: $i] :
                  ( ~ ( ~ ( object @ ( sK4_Z @ SY25 @ SY24 @ SY23 @ SV2 ) )
                      | ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK4_Z @ SY25 @ SY24 @ SY23 @ SV2 ) )
                            | ~ ( ( ( sK4_Z @ SY25 @ SY24 @ SY23 @ SV2 )
                                 != SY25 ) ) ) )
                  | ~ ( exemplifies_property @ SV2 @ SY25 )
                  | ~ ( object @ SY25 )
                  | ( SY25 != SY24 ) )
              | ( is_the @ SY23 @ SV2 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[59]) ).

thf(66,plain,
    ! [SV3: $i] :
      ( ( ( ! [SY26: $i] :
              ~ ( is_the @ SV3 @ SY26 ) )
        = $true )
      | ( ( object @ SV3 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[60]) ).

thf(67,plain,
    ! [SV8: $i,SV4: $i] :
      ( ( ~ ( is_the @ SV4 @ SV8 )
        | ( property @ SV8 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[61]) ).

thf(68,plain,
    ! [SV5: $i] :
      ( ( ( ! [SY28: $i] :
              ~ ( exemplifies_property @ SY28 @ SV5 ) )
        = $true )
      | ( ( object @ SV5 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[62]) ).

thf(69,plain,
    ! [SV6: $i,SV9: $i] :
      ( ( ~ ( exemplifies_property @ SV9 @ SV6 )
        | ( property @ SV9 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[63]) ).

thf(70,plain,
    ! [SV10: $i,SV2: $i,SV7: $i] :
      ( ( ~ ( object @ SV7 )
        | ~ ( property @ SV2 )
        | ~ ( object @ SV10 )
        | ( SV7 != SV10 )
        | ~ ( is_the @ SV7 @ SV2 )
        | ~ ( ~ ~ ( ~ ! [SY32: $i] :
                        ( ~ ( object @ SY32 )
                        | ~ ( exemplifies_property @ SV2 @ SY32 )
                        | ( SY32
                          = ( sK6_Y @ SV10 @ SV7 @ SV2 ) ) )
                  | ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK6_Y @ SV10 @ SV7 @ SV2 ) )
                        | ~ ( object @ ( sK6_Y @ SV10 @ SV7 @ SV2 ) ) ) )
            | ( ( sK6_Y @ SV10 @ SV7 @ SV2 )
             != SV10 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[64]) ).

thf(71,plain,
    ! [SV2: $i] :
      ( ( ~ ! [SY20: $i,SY21: $i] :
              ( ~ ( object @ SY20 )
              | ~ ( property @ SV2 )
              | ~ ( object @ SY21 )
              | ! [SY22: $i] :
                  ( ~ ( ~ ( object @ ( sK5_Z @ SY22 @ SY21 @ SY20 @ SV2 ) )
                      | ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK5_Z @ SY22 @ SY21 @ SY20 @ SV2 ) )
                            | ~ ( ( ( sK5_Z @ SY22 @ SY21 @ SY20 @ SV2 )
                                 != SY22 ) ) ) )
                  | ~ ( exemplifies_property @ SV2 @ SY22 )
                  | ~ ( object @ SY22 )
                  | ( SY22 != SY21 ) )
              | ( SY20 = SY21 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[65]) ).

thf(72,plain,
    ! [SV2: $i] :
      ( ( ~ ! [SY23: $i,SY24: $i] :
              ( ~ ( object @ SY23 )
              | ~ ( property @ SV2 )
              | ~ ( object @ SY24 )
              | ! [SY25: $i] :
                  ( ~ ( ~ ( object @ ( sK4_Z @ SY25 @ SY24 @ SY23 @ SV2 ) )
                      | ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK4_Z @ SY25 @ SY24 @ SY23 @ SV2 ) )
                            | ~ ( ( ( sK4_Z @ SY25 @ SY24 @ SY23 @ SV2 )
                                 != SY25 ) ) ) )
                  | ~ ( exemplifies_property @ SV2 @ SY25 )
                  | ~ ( object @ SY25 )
                  | ( SY25 != SY24 ) )
              | ( is_the @ SY23 @ SV2 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[65]) ).

thf(73,plain,
    ! [SV11: $i,SV3: $i] :
      ( ( ( ~ ( is_the @ SV3 @ SV11 ) )
        = $true )
      | ( ( object @ SV3 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[66]) ).

thf(74,plain,
    ! [SV8: $i,SV4: $i] :
      ( ( ( ~ ( is_the @ SV4 @ SV8 ) )
        = $true )
      | ( ( property @ SV8 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[67]) ).

thf(75,plain,
    ! [SV5: $i,SV12: $i] :
      ( ( ( ~ ( exemplifies_property @ SV12 @ SV5 ) )
        = $true )
      | ( ( object @ SV5 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[68]) ).

thf(76,plain,
    ! [SV6: $i,SV9: $i] :
      ( ( ( ~ ( exemplifies_property @ SV9 @ SV6 ) )
        = $true )
      | ( ( property @ SV9 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[69]) ).

thf(77,plain,
    ! [SV10: $i,SV2: $i,SV7: $i] :
      ( ( ( ~ ( object @ SV7 )
          | ~ ( property @ SV2 )
          | ~ ( object @ SV10 ) )
        = $true )
      | ( ( ( SV7 != SV10 )
          | ~ ( is_the @ SV7 @ SV2 )
          | ~ ( ~ ~ ( ~ ! [SY32: $i] :
                          ( ~ ( object @ SY32 )
                          | ~ ( exemplifies_property @ SV2 @ SY32 )
                          | ( SY32
                            = ( sK6_Y @ SV10 @ SV7 @ SV2 ) ) )
                    | ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK6_Y @ SV10 @ SV7 @ SV2 ) )
                          | ~ ( object @ ( sK6_Y @ SV10 @ SV7 @ SV2 ) ) ) )
              | ( ( sK6_Y @ SV10 @ SV7 @ SV2 )
               != SV10 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[70]) ).

thf(78,plain,
    ! [SV2: $i] :
      ( ( ! [SY20: $i,SY21: $i] :
            ( ~ ( object @ SY20 )
            | ~ ( property @ SV2 )
            | ~ ( object @ SY21 )
            | ! [SY22: $i] :
                ( ~ ( ~ ( object @ ( sK5_Z @ SY22 @ SY21 @ SY20 @ SV2 ) )
                    | ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK5_Z @ SY22 @ SY21 @ SY20 @ SV2 ) )
                          | ~ ( ( ( sK5_Z @ SY22 @ SY21 @ SY20 @ SV2 )
                               != SY22 ) ) ) )
                | ~ ( exemplifies_property @ SV2 @ SY22 )
                | ~ ( object @ SY22 )
                | ( SY22 != SY21 ) )
            | ( SY20 = SY21 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[71]) ).

thf(79,plain,
    ! [SV2: $i] :
      ( ( ! [SY23: $i,SY24: $i] :
            ( ~ ( object @ SY23 )
            | ~ ( property @ SV2 )
            | ~ ( object @ SY24 )
            | ! [SY25: $i] :
                ( ~ ( ~ ( object @ ( sK4_Z @ SY25 @ SY24 @ SY23 @ SV2 ) )
                    | ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK4_Z @ SY25 @ SY24 @ SY23 @ SV2 ) )
                          | ~ ( ( ( sK4_Z @ SY25 @ SY24 @ SY23 @ SV2 )
                               != SY25 ) ) ) )
                | ~ ( exemplifies_property @ SV2 @ SY25 )
                | ~ ( object @ SY25 )
                | ( SY25 != SY24 ) )
            | ( is_the @ SY23 @ SV2 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[72]) ).

thf(80,plain,
    ! [SV11: $i,SV3: $i] :
      ( ( ( is_the @ SV3 @ SV11 )
        = $false )
      | ( ( object @ SV3 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[73]) ).

thf(81,plain,
    ! [SV8: $i,SV4: $i] :
      ( ( ( is_the @ SV4 @ SV8 )
        = $false )
      | ( ( property @ SV8 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[74]) ).

thf(82,plain,
    ! [SV5: $i,SV12: $i] :
      ( ( ( exemplifies_property @ SV12 @ SV5 )
        = $false )
      | ( ( object @ SV5 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[75]) ).

thf(83,plain,
    ! [SV6: $i,SV9: $i] :
      ( ( ( exemplifies_property @ SV9 @ SV6 )
        = $false )
      | ( ( property @ SV9 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[76]) ).

thf(84,plain,
    ! [SV10: $i,SV2: $i,SV7: $i] :
      ( ( ( ~ ( object @ SV7 )
          | ~ ( property @ SV2 ) )
        = $true )
      | ( ( ~ ( object @ SV10 ) )
        = $true )
      | ( ( ( SV7 != SV10 )
          | ~ ( is_the @ SV7 @ SV2 )
          | ~ ( ~ ~ ( ~ ! [SY32: $i] :
                          ( ~ ( object @ SY32 )
                          | ~ ( exemplifies_property @ SV2 @ SY32 )
                          | ( SY32
                            = ( sK6_Y @ SV10 @ SV7 @ SV2 ) ) )
                    | ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK6_Y @ SV10 @ SV7 @ SV2 ) )
                          | ~ ( object @ ( sK6_Y @ SV10 @ SV7 @ SV2 ) ) ) )
              | ( ( sK6_Y @ SV10 @ SV7 @ SV2 )
               != SV10 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[77]) ).

thf(85,plain,
    ! [SV2: $i,SV13: $i] :
      ( ( ! [SY33: $i] :
            ( ~ ( object @ SV13 )
            | ~ ( property @ SV2 )
            | ~ ( object @ SY33 )
            | ! [SY34: $i] :
                ( ~ ( ~ ( object @ ( sK5_Z @ SY34 @ SY33 @ SV13 @ SV2 ) )
                    | ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK5_Z @ SY34 @ SY33 @ SV13 @ SV2 ) )
                          | ~ ( ( ( sK5_Z @ SY34 @ SY33 @ SV13 @ SV2 )
                               != SY34 ) ) ) )
                | ~ ( exemplifies_property @ SV2 @ SY34 )
                | ~ ( object @ SY34 )
                | ( SY34 != SY33 ) )
            | ( SV13 = SY33 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[78]) ).

thf(86,plain,
    ! [SV2: $i,SV14: $i] :
      ( ( ! [SY35: $i] :
            ( ~ ( object @ SV14 )
            | ~ ( property @ SV2 )
            | ~ ( object @ SY35 )
            | ! [SY36: $i] :
                ( ~ ( ~ ( object @ ( sK4_Z @ SY36 @ SY35 @ SV14 @ SV2 ) )
                    | ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK4_Z @ SY36 @ SY35 @ SV14 @ SV2 ) )
                          | ~ ( ( ( sK4_Z @ SY36 @ SY35 @ SV14 @ SV2 )
                               != SY36 ) ) ) )
                | ~ ( exemplifies_property @ SV2 @ SY36 )
                | ~ ( object @ SY36 )
                | ( SY36 != SY35 ) )
            | ( is_the @ SV14 @ SV2 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[79]) ).

thf(87,plain,
    ! [SV10: $i,SV2: $i,SV7: $i] :
      ( ( ( ~ ( object @ SV7 ) )
        = $true )
      | ( ( ~ ( property @ SV2 ) )
        = $true )
      | ( ( ~ ( object @ SV10 ) )
        = $true )
      | ( ( ( SV7 != SV10 )
          | ~ ( is_the @ SV7 @ SV2 )
          | ~ ( ~ ~ ( ~ ! [SY32: $i] :
                          ( ~ ( object @ SY32 )
                          | ~ ( exemplifies_property @ SV2 @ SY32 )
                          | ( SY32
                            = ( sK6_Y @ SV10 @ SV7 @ SV2 ) ) )
                    | ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK6_Y @ SV10 @ SV7 @ SV2 ) )
                          | ~ ( object @ ( sK6_Y @ SV10 @ SV7 @ SV2 ) ) ) )
              | ( ( sK6_Y @ SV10 @ SV7 @ SV2 )
               != SV10 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[84]) ).

thf(88,plain,
    ! [SV15: $i,SV2: $i,SV13: $i] :
      ( ( ~ ( object @ SV13 )
        | ~ ( property @ SV2 )
        | ~ ( object @ SV15 )
        | ! [SY37: $i] :
            ( ~ ( ~ ( object @ ( sK5_Z @ SY37 @ SV15 @ SV13 @ SV2 ) )
                | ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK5_Z @ SY37 @ SV15 @ SV13 @ SV2 ) )
                      | ~ ( ( ( sK5_Z @ SY37 @ SV15 @ SV13 @ SV2 )
                           != SY37 ) ) ) )
            | ~ ( exemplifies_property @ SV2 @ SY37 )
            | ~ ( object @ SY37 )
            | ( SY37 != SV15 ) )
        | ( SV13 = SV15 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[85]) ).

thf(89,plain,
    ! [SV16: $i,SV2: $i,SV14: $i] :
      ( ( ~ ( object @ SV14 )
        | ~ ( property @ SV2 )
        | ~ ( object @ SV16 )
        | ! [SY38: $i] :
            ( ~ ( ~ ( object @ ( sK4_Z @ SY38 @ SV16 @ SV14 @ SV2 ) )
                | ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK4_Z @ SY38 @ SV16 @ SV14 @ SV2 ) )
                      | ~ ( ( ( sK4_Z @ SY38 @ SV16 @ SV14 @ SV2 )
                           != SY38 ) ) ) )
            | ~ ( exemplifies_property @ SV2 @ SY38 )
            | ~ ( object @ SY38 )
            | ( SY38 != SV16 ) )
        | ( is_the @ SV14 @ SV2 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[86]) ).

thf(90,plain,
    ! [SV10: $i,SV2: $i,SV7: $i] :
      ( ( ( object @ SV7 )
        = $false )
      | ( ( ~ ( property @ SV2 ) )
        = $true )
      | ( ( ~ ( object @ SV10 ) )
        = $true )
      | ( ( ( SV7 != SV10 )
          | ~ ( is_the @ SV7 @ SV2 )
          | ~ ( ~ ~ ( ~ ! [SY32: $i] :
                          ( ~ ( object @ SY32 )
                          | ~ ( exemplifies_property @ SV2 @ SY32 )
                          | ( SY32
                            = ( sK6_Y @ SV10 @ SV7 @ SV2 ) ) )
                    | ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK6_Y @ SV10 @ SV7 @ SV2 ) )
                          | ~ ( object @ ( sK6_Y @ SV10 @ SV7 @ SV2 ) ) ) )
              | ( ( sK6_Y @ SV10 @ SV7 @ SV2 )
               != SV10 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[87]) ).

thf(91,plain,
    ! [SV15: $i,SV2: $i,SV13: $i] :
      ( ( ( ~ ( object @ SV13 )
          | ~ ( property @ SV2 )
          | ~ ( object @ SV15 ) )
        = $true )
      | ( ( ! [SY37: $i] :
              ( ~ ( ~ ( object @ ( sK5_Z @ SY37 @ SV15 @ SV13 @ SV2 ) )
                  | ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK5_Z @ SY37 @ SV15 @ SV13 @ SV2 ) )
                        | ~ ( ( ( sK5_Z @ SY37 @ SV15 @ SV13 @ SV2 )
                             != SY37 ) ) ) )
              | ~ ( exemplifies_property @ SV2 @ SY37 )
              | ~ ( object @ SY37 )
              | ( SY37 != SV15 ) )
          | ( SV13 = SV15 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[88]) ).

thf(92,plain,
    ! [SV16: $i,SV2: $i,SV14: $i] :
      ( ( ( ~ ( object @ SV14 )
          | ~ ( property @ SV2 )
          | ~ ( object @ SV16 ) )
        = $true )
      | ( ( ! [SY38: $i] :
              ( ~ ( ~ ( object @ ( sK4_Z @ SY38 @ SV16 @ SV14 @ SV2 ) )
                  | ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK4_Z @ SY38 @ SV16 @ SV14 @ SV2 ) )
                        | ~ ( ( ( sK4_Z @ SY38 @ SV16 @ SV14 @ SV2 )
                             != SY38 ) ) ) )
              | ~ ( exemplifies_property @ SV2 @ SY38 )
              | ~ ( object @ SY38 )
              | ( SY38 != SV16 ) )
          | ( is_the @ SV14 @ SV2 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[89]) ).

thf(93,plain,
    ! [SV10: $i,SV7: $i,SV2: $i] :
      ( ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV7 )
        = $false )
      | ( ( ~ ( object @ SV10 ) )
        = $true )
      | ( ( ( SV7 != SV10 )
          | ~ ( is_the @ SV7 @ SV2 )
          | ~ ( ~ ~ ( ~ ! [SY32: $i] :
                          ( ~ ( object @ SY32 )
                          | ~ ( exemplifies_property @ SV2 @ SY32 )
                          | ( SY32
                            = ( sK6_Y @ SV10 @ SV7 @ SV2 ) ) )
                    | ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK6_Y @ SV10 @ SV7 @ SV2 ) )
                          | ~ ( object @ ( sK6_Y @ SV10 @ SV7 @ SV2 ) ) ) )
              | ( ( sK6_Y @ SV10 @ SV7 @ SV2 )
               != SV10 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[90]) ).

thf(94,plain,
    ! [SV15: $i,SV2: $i,SV13: $i] :
      ( ( ( ~ ( object @ SV13 )
          | ~ ( property @ SV2 ) )
        = $true )
      | ( ( ~ ( object @ SV15 ) )
        = $true )
      | ( ( ! [SY37: $i] :
              ( ~ ( ~ ( object @ ( sK5_Z @ SY37 @ SV15 @ SV13 @ SV2 ) )
                  | ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK5_Z @ SY37 @ SV15 @ SV13 @ SV2 ) )
                        | ~ ( ( ( sK5_Z @ SY37 @ SV15 @ SV13 @ SV2 )
                             != SY37 ) ) ) )
              | ~ ( exemplifies_property @ SV2 @ SY37 )
              | ~ ( object @ SY37 )
              | ( SY37 != SV15 ) )
          | ( SV13 = SV15 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[91]) ).

thf(95,plain,
    ! [SV16: $i,SV2: $i,SV14: $i] :
      ( ( ( ~ ( object @ SV14 )
          | ~ ( property @ SV2 ) )
        = $true )
      | ( ( ~ ( object @ SV16 ) )
        = $true )
      | ( ( ! [SY38: $i] :
              ( ~ ( ~ ( object @ ( sK4_Z @ SY38 @ SV16 @ SV14 @ SV2 ) )
                  | ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK4_Z @ SY38 @ SV16 @ SV14 @ SV2 ) )
                        | ~ ( ( ( sK4_Z @ SY38 @ SV16 @ SV14 @ SV2 )
                             != SY38 ) ) ) )
              | ~ ( exemplifies_property @ SV2 @ SY38 )
              | ~ ( object @ SY38 )
              | ( SY38 != SV16 ) )
          | ( is_the @ SV14 @ SV2 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[92]) ).

thf(96,plain,
    ! [SV2: $i,SV7: $i,SV10: $i] :
      ( ( ( object @ SV10 )
        = $false )
      | ( ( object @ SV7 )
        = $false )
      | ( ( property @ SV2 )
        = $false )
      | ( ( ( SV7 != SV10 )
          | ~ ( is_the @ SV7 @ SV2 )
          | ~ ( ~ ~ ( ~ ! [SY32: $i] :
                          ( ~ ( object @ SY32 )
                          | ~ ( exemplifies_property @ SV2 @ SY32 )
                          | ( SY32
                            = ( sK6_Y @ SV10 @ SV7 @ SV2 ) ) )
                    | ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK6_Y @ SV10 @ SV7 @ SV2 ) )
                          | ~ ( object @ ( sK6_Y @ SV10 @ SV7 @ SV2 ) ) ) )
              | ( ( sK6_Y @ SV10 @ SV7 @ SV2 )
               != SV10 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[93]) ).

thf(97,plain,
    ! [SV15: $i,SV2: $i,SV13: $i] :
      ( ( ( ~ ( object @ SV13 ) )
        = $true )
      | ( ( ~ ( property @ SV2 ) )
        = $true )
      | ( ( ~ ( object @ SV15 ) )
        = $true )
      | ( ( ! [SY37: $i] :
              ( ~ ( ~ ( object @ ( sK5_Z @ SY37 @ SV15 @ SV13 @ SV2 ) )
                  | ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK5_Z @ SY37 @ SV15 @ SV13 @ SV2 ) )
                        | ~ ( ( ( sK5_Z @ SY37 @ SV15 @ SV13 @ SV2 )
                             != SY37 ) ) ) )
              | ~ ( exemplifies_property @ SV2 @ SY37 )
              | ~ ( object @ SY37 )
              | ( SY37 != SV15 ) )
          | ( SV13 = SV15 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[94]) ).

thf(98,plain,
    ! [SV16: $i,SV2: $i,SV14: $i] :
      ( ( ( ~ ( object @ SV14 ) )
        = $true )
      | ( ( ~ ( property @ SV2 ) )
        = $true )
      | ( ( ~ ( object @ SV16 ) )
        = $true )
      | ( ( ! [SY38: $i] :
              ( ~ ( ~ ( object @ ( sK4_Z @ SY38 @ SV16 @ SV14 @ SV2 ) )
                  | ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK4_Z @ SY38 @ SV16 @ SV14 @ SV2 ) )
                        | ~ ( ( ( sK4_Z @ SY38 @ SV16 @ SV14 @ SV2 )
                             != SY38 ) ) ) )
              | ~ ( exemplifies_property @ SV2 @ SY38 )
              | ~ ( object @ SY38 )
              | ( SY38 != SV16 ) )
          | ( is_the @ SV14 @ SV2 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[95]) ).

thf(99,plain,
    ! [SV2: $i,SV10: $i,SV7: $i] :
      ( ( ( ( SV7 != SV10 )
          | ~ ( is_the @ SV7 @ SV2 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ! [SY32: $i] :
                          ( ~ ( object @ SY32 )
                          | ~ ( exemplifies_property @ SV2 @ SY32 )
                          | ( SY32
                            = ( sK6_Y @ SV10 @ SV7 @ SV2 ) ) )
                    | ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK6_Y @ SV10 @ SV7 @ SV2 ) )
                          | ~ ( object @ ( sK6_Y @ SV10 @ SV7 @ SV2 ) ) ) )
              | ( ( sK6_Y @ SV10 @ SV7 @ SV2 )
               != SV10 ) ) )
        = $true )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV7 )
        = $false )
      | ( ( object @ SV10 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[96]) ).

thf(100,plain,
    ! [SV15: $i,SV2: $i,SV13: $i] :
      ( ( ( object @ SV13 )
        = $false )
      | ( ( ~ ( property @ SV2 ) )
        = $true )
      | ( ( ~ ( object @ SV15 ) )
        = $true )
      | ( ( ! [SY37: $i] :
              ( ~ ( ~ ( object @ ( sK5_Z @ SY37 @ SV15 @ SV13 @ SV2 ) )
                  | ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK5_Z @ SY37 @ SV15 @ SV13 @ SV2 ) )
                        | ~ ( ( ( sK5_Z @ SY37 @ SV15 @ SV13 @ SV2 )
                             != SY37 ) ) ) )
              | ~ ( exemplifies_property @ SV2 @ SY37 )
              | ~ ( object @ SY37 )
              | ( SY37 != SV15 ) )
          | ( SV13 = SV15 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[97]) ).

thf(101,plain,
    ! [SV16: $i,SV2: $i,SV14: $i] :
      ( ( ( object @ SV14 )
        = $false )
      | ( ( ~ ( property @ SV2 ) )
        = $true )
      | ( ( ~ ( object @ SV16 ) )
        = $true )
      | ( ( ! [SY38: $i] :
              ( ~ ( ~ ( object @ ( sK4_Z @ SY38 @ SV16 @ SV14 @ SV2 ) )
                  | ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK4_Z @ SY38 @ SV16 @ SV14 @ SV2 ) )
                        | ~ ( ( ( sK4_Z @ SY38 @ SV16 @ SV14 @ SV2 )
                             != SY38 ) ) ) )
              | ~ ( exemplifies_property @ SV2 @ SY38 )
              | ~ ( object @ SY38 )
              | ( SY38 != SV16 ) )
          | ( is_the @ SV14 @ SV2 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[98]) ).

thf(102,plain,
    ! [SV2: $i,SV10: $i,SV7: $i] :
      ( ( ( ( SV7 != SV10 ) )
        = $true )
      | ( ( ~ ( is_the @ SV7 @ SV2 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ! [SY32: $i] :
                          ( ~ ( object @ SY32 )
                          | ~ ( exemplifies_property @ SV2 @ SY32 )
                          | ( SY32
                            = ( sK6_Y @ SV10 @ SV7 @ SV2 ) ) )
                    | ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK6_Y @ SV10 @ SV7 @ SV2 ) )
                          | ~ ( object @ ( sK6_Y @ SV10 @ SV7 @ SV2 ) ) ) )
              | ( ( sK6_Y @ SV10 @ SV7 @ SV2 )
               != SV10 ) ) )
        = $true )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV7 )
        = $false )
      | ( ( object @ SV10 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[99]) ).

thf(103,plain,
    ! [SV15: $i,SV13: $i,SV2: $i] :
      ( ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV13 )
        = $false )
      | ( ( ~ ( object @ SV15 ) )
        = $true )
      | ( ( ! [SY37: $i] :
              ( ~ ( ~ ( object @ ( sK5_Z @ SY37 @ SV15 @ SV13 @ SV2 ) )
                  | ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK5_Z @ SY37 @ SV15 @ SV13 @ SV2 ) )
                        | ~ ( ( ( sK5_Z @ SY37 @ SV15 @ SV13 @ SV2 )
                             != SY37 ) ) ) )
              | ~ ( exemplifies_property @ SV2 @ SY37 )
              | ~ ( object @ SY37 )
              | ( SY37 != SV15 ) )
          | ( SV13 = SV15 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[100]) ).

thf(104,plain,
    ! [SV16: $i,SV14: $i,SV2: $i] :
      ( ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV14 )
        = $false )
      | ( ( ~ ( object @ SV16 ) )
        = $true )
      | ( ( ! [SY38: $i] :
              ( ~ ( ~ ( object @ ( sK4_Z @ SY38 @ SV16 @ SV14 @ SV2 ) )
                  | ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK4_Z @ SY38 @ SV16 @ SV14 @ SV2 ) )
                        | ~ ( ( ( sK4_Z @ SY38 @ SV16 @ SV14 @ SV2 )
                             != SY38 ) ) ) )
              | ~ ( exemplifies_property @ SV2 @ SY38 )
              | ~ ( object @ SY38 )
              | ( SY38 != SV16 ) )
          | ( is_the @ SV14 @ SV2 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[101]) ).

thf(105,plain,
    ! [SV2: $i,SV10: $i,SV7: $i] :
      ( ( ( SV7 = SV10 )
        = $false )
      | ( ( ~ ( is_the @ SV7 @ SV2 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ! [SY32: $i] :
                          ( ~ ( object @ SY32 )
                          | ~ ( exemplifies_property @ SV2 @ SY32 )
                          | ( SY32
                            = ( sK6_Y @ SV10 @ SV7 @ SV2 ) ) )
                    | ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK6_Y @ SV10 @ SV7 @ SV2 ) )
                          | ~ ( object @ ( sK6_Y @ SV10 @ SV7 @ SV2 ) ) ) )
              | ( ( sK6_Y @ SV10 @ SV7 @ SV2 )
               != SV10 ) ) )
        = $true )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV7 )
        = $false )
      | ( ( object @ SV10 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[102]) ).

thf(106,plain,
    ! [SV2: $i,SV13: $i,SV15: $i] :
      ( ( ( object @ SV15 )
        = $false )
      | ( ( object @ SV13 )
        = $false )
      | ( ( property @ SV2 )
        = $false )
      | ( ( ! [SY37: $i] :
              ( ~ ( ~ ( object @ ( sK5_Z @ SY37 @ SV15 @ SV13 @ SV2 ) )
                  | ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK5_Z @ SY37 @ SV15 @ SV13 @ SV2 ) )
                        | ~ ( ( ( sK5_Z @ SY37 @ SV15 @ SV13 @ SV2 )
                             != SY37 ) ) ) )
              | ~ ( exemplifies_property @ SV2 @ SY37 )
              | ~ ( object @ SY37 )
              | ( SY37 != SV15 ) )
          | ( SV13 = SV15 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[103]) ).

thf(107,plain,
    ! [SV2: $i,SV14: $i,SV16: $i] :
      ( ( ( object @ SV16 )
        = $false )
      | ( ( object @ SV14 )
        = $false )
      | ( ( property @ SV2 )
        = $false )
      | ( ( ! [SY38: $i] :
              ( ~ ( ~ ( object @ ( sK4_Z @ SY38 @ SV16 @ SV14 @ SV2 ) )
                  | ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK4_Z @ SY38 @ SV16 @ SV14 @ SV2 ) )
                        | ~ ( ( ( sK4_Z @ SY38 @ SV16 @ SV14 @ SV2 )
                             != SY38 ) ) ) )
              | ~ ( exemplifies_property @ SV2 @ SY38 )
              | ~ ( object @ SY38 )
              | ( SY38 != SV16 ) )
          | ( is_the @ SV14 @ SV2 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[104]) ).

thf(108,plain,
    ! [SV10: $i,SV2: $i,SV7: $i] :
      ( ( ( is_the @ SV7 @ SV2 )
        = $false )
      | ( ( SV7 = SV10 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ! [SY32: $i] :
                          ( ~ ( object @ SY32 )
                          | ~ ( exemplifies_property @ SV2 @ SY32 )
                          | ( SY32
                            = ( sK6_Y @ SV10 @ SV7 @ SV2 ) ) )
                    | ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK6_Y @ SV10 @ SV7 @ SV2 ) )
                          | ~ ( object @ ( sK6_Y @ SV10 @ SV7 @ SV2 ) ) ) )
              | ( ( sK6_Y @ SV10 @ SV7 @ SV2 )
               != SV10 ) ) )
        = $true )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV7 )
        = $false )
      | ( ( object @ SV10 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[105]) ).

thf(109,plain,
    ! [SV2: $i,SV13: $i,SV15: $i] :
      ( ( ( ! [SY37: $i] :
              ( ~ ( ~ ( object @ ( sK5_Z @ SY37 @ SV15 @ SV13 @ SV2 ) )
                  | ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK5_Z @ SY37 @ SV15 @ SV13 @ SV2 ) )
                        | ~ ( ( ( sK5_Z @ SY37 @ SV15 @ SV13 @ SV2 )
                             != SY37 ) ) ) )
              | ~ ( exemplifies_property @ SV2 @ SY37 )
              | ~ ( object @ SY37 )
              | ( SY37 != SV15 ) ) )
        = $true )
      | ( ( SV13 = SV15 )
        = $true )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV13 )
        = $false )
      | ( ( object @ SV15 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[106]) ).

thf(110,plain,
    ! [SV2: $i,SV14: $i,SV16: $i] :
      ( ( ( ! [SY38: $i] :
              ( ~ ( ~ ( object @ ( sK4_Z @ SY38 @ SV16 @ SV14 @ SV2 ) )
                  | ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK4_Z @ SY38 @ SV16 @ SV14 @ SV2 ) )
                        | ~ ( ( ( sK4_Z @ SY38 @ SV16 @ SV14 @ SV2 )
                             != SY38 ) ) ) )
              | ~ ( exemplifies_property @ SV2 @ SY38 )
              | ~ ( object @ SY38 )
              | ( SY38 != SV16 ) ) )
        = $true )
      | ( ( is_the @ SV14 @ SV2 )
        = $true )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV14 )
        = $false )
      | ( ( object @ SV16 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[107]) ).

thf(111,plain,
    ! [SV7: $i,SV10: $i,SV2: $i] :
      ( ( ( ~ ~ ( ~ ! [SY32: $i] :
                      ( ~ ( object @ SY32 )
                      | ~ ( exemplifies_property @ SV2 @ SY32 )
                      | ( SY32
                        = ( sK6_Y @ SV10 @ SV7 @ SV2 ) ) )
                | ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK6_Y @ SV10 @ SV7 @ SV2 ) )
                      | ~ ( object @ ( sK6_Y @ SV10 @ SV7 @ SV2 ) ) ) )
          | ( ( sK6_Y @ SV10 @ SV7 @ SV2 )
           != SV10 ) )
        = $false )
      | ( ( SV7 = SV10 )
        = $false )
      | ( ( is_the @ SV7 @ SV2 )
        = $false )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV7 )
        = $false )
      | ( ( object @ SV10 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[108]) ).

thf(112,plain,
    ! [SV2: $i,SV13: $i,SV15: $i,SV17: $i] :
      ( ( ( ~ ( ~ ( object @ ( sK5_Z @ SV17 @ SV15 @ SV13 @ SV2 ) )
              | ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK5_Z @ SV17 @ SV15 @ SV13 @ SV2 ) )
                    | ~ ( ( ( sK5_Z @ SV17 @ SV15 @ SV13 @ SV2 )
                         != SV17 ) ) ) )
          | ~ ( exemplifies_property @ SV2 @ SV17 )
          | ~ ( object @ SV17 )
          | ( SV17 != SV15 ) )
        = $true )
      | ( ( SV13 = SV15 )
        = $true )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV13 )
        = $false )
      | ( ( object @ SV15 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[109]) ).

thf(113,plain,
    ! [SV2: $i,SV14: $i,SV16: $i,SV18: $i] :
      ( ( ( ~ ( ~ ( object @ ( sK4_Z @ SV18 @ SV16 @ SV14 @ SV2 ) )
              | ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK4_Z @ SV18 @ SV16 @ SV14 @ SV2 ) )
                    | ~ ( ( ( sK4_Z @ SV18 @ SV16 @ SV14 @ SV2 )
                         != SV18 ) ) ) )
          | ~ ( exemplifies_property @ SV2 @ SV18 )
          | ~ ( object @ SV18 )
          | ( SV18 != SV16 ) )
        = $true )
      | ( ( is_the @ SV14 @ SV2 )
        = $true )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV14 )
        = $false )
      | ( ( object @ SV16 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[110]) ).

thf(114,plain,
    ! [SV7: $i,SV10: $i,SV2: $i] :
      ( ( ( ~ ~ ( ~ ! [SY32: $i] :
                      ( ~ ( object @ SY32 )
                      | ~ ( exemplifies_property @ SV2 @ SY32 )
                      | ( SY32
                        = ( sK6_Y @ SV10 @ SV7 @ SV2 ) ) )
                | ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK6_Y @ SV10 @ SV7 @ SV2 ) )
                      | ~ ( object @ ( sK6_Y @ SV10 @ SV7 @ SV2 ) ) ) ) )
        = $false )
      | ( ( SV7 = SV10 )
        = $false )
      | ( ( is_the @ SV7 @ SV2 )
        = $false )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV7 )
        = $false )
      | ( ( object @ SV10 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[111]) ).

thf(115,plain,
    ! [SV2: $i,SV7: $i,SV10: $i] :
      ( ( ( ( ( sK6_Y @ SV10 @ SV7 @ SV2 )
           != SV10 ) )
        = $false )
      | ( ( SV7 = SV10 )
        = $false )
      | ( ( is_the @ SV7 @ SV2 )
        = $false )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV7 )
        = $false )
      | ( ( object @ SV10 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[111]) ).

thf(116,plain,
    ! [SV2: $i,SV13: $i,SV15: $i,SV17: $i] :
      ( ( ( ~ ( ~ ( object @ ( sK5_Z @ SV17 @ SV15 @ SV13 @ SV2 ) )
              | ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK5_Z @ SV17 @ SV15 @ SV13 @ SV2 ) )
                    | ~ ( ( ( sK5_Z @ SV17 @ SV15 @ SV13 @ SV2 )
                         != SV17 ) ) ) )
          | ~ ( exemplifies_property @ SV2 @ SV17 )
          | ~ ( object @ SV17 ) )
        = $true )
      | ( ( ( SV17 != SV15 ) )
        = $true )
      | ( ( SV13 = SV15 )
        = $true )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV13 )
        = $false )
      | ( ( object @ SV15 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[112]) ).

thf(117,plain,
    ! [SV2: $i,SV14: $i,SV16: $i,SV18: $i] :
      ( ( ( ~ ( ~ ( object @ ( sK4_Z @ SV18 @ SV16 @ SV14 @ SV2 ) )
              | ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK4_Z @ SV18 @ SV16 @ SV14 @ SV2 ) )
                    | ~ ( ( ( sK4_Z @ SV18 @ SV16 @ SV14 @ SV2 )
                         != SV18 ) ) ) )
          | ~ ( exemplifies_property @ SV2 @ SV18 )
          | ~ ( object @ SV18 ) )
        = $true )
      | ( ( ( SV18 != SV16 ) )
        = $true )
      | ( ( is_the @ SV14 @ SV2 )
        = $true )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV14 )
        = $false )
      | ( ( object @ SV16 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[113]) ).

thf(118,plain,
    ! [SV7: $i,SV10: $i,SV2: $i] :
      ( ( ( ~ ( ~ ! [SY32: $i] :
                    ( ~ ( object @ SY32 )
                    | ~ ( exemplifies_property @ SV2 @ SY32 )
                    | ( SY32
                      = ( sK6_Y @ SV10 @ SV7 @ SV2 ) ) )
              | ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK6_Y @ SV10 @ SV7 @ SV2 ) )
                    | ~ ( object @ ( sK6_Y @ SV10 @ SV7 @ SV2 ) ) ) ) )
        = $true )
      | ( ( SV7 = SV10 )
        = $false )
      | ( ( is_the @ SV7 @ SV2 )
        = $false )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV7 )
        = $false )
      | ( ( object @ SV10 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[114]) ).

thf(119,plain,
    ! [SV2: $i,SV7: $i,SV10: $i] :
      ( ( ( ( sK6_Y @ SV10 @ SV7 @ SV2 )
          = SV10 )
        = $true )
      | ( ( SV7 = SV10 )
        = $false )
      | ( ( is_the @ SV7 @ SV2 )
        = $false )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV7 )
        = $false )
      | ( ( object @ SV10 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[115]) ).

thf(120,plain,
    ! [SV2: $i,SV13: $i,SV15: $i,SV17: $i] :
      ( ( ( ~ ( ~ ( object @ ( sK5_Z @ SV17 @ SV15 @ SV13 @ SV2 ) )
              | ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK5_Z @ SV17 @ SV15 @ SV13 @ SV2 ) )
                    | ~ ( ( ( sK5_Z @ SV17 @ SV15 @ SV13 @ SV2 )
                         != SV17 ) ) ) ) )
        = $true )
      | ( ( ~ ( exemplifies_property @ SV2 @ SV17 )
          | ~ ( object @ SV17 ) )
        = $true )
      | ( ( ( SV17 != SV15 ) )
        = $true )
      | ( ( SV13 = SV15 )
        = $true )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV13 )
        = $false )
      | ( ( object @ SV15 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[116]) ).

thf(121,plain,
    ! [SV2: $i,SV14: $i,SV16: $i,SV18: $i] :
      ( ( ( ~ ( ~ ( object @ ( sK4_Z @ SV18 @ SV16 @ SV14 @ SV2 ) )
              | ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK4_Z @ SV18 @ SV16 @ SV14 @ SV2 ) )
                    | ~ ( ( ( sK4_Z @ SV18 @ SV16 @ SV14 @ SV2 )
                         != SV18 ) ) ) ) )
        = $true )
      | ( ( ~ ( exemplifies_property @ SV2 @ SV18 )
          | ~ ( object @ SV18 ) )
        = $true )
      | ( ( ( SV18 != SV16 ) )
        = $true )
      | ( ( is_the @ SV14 @ SV2 )
        = $true )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV14 )
        = $false )
      | ( ( object @ SV16 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[117]) ).

thf(122,plain,
    ! [SV7: $i,SV10: $i,SV2: $i] :
      ( ( ( ~ ! [SY32: $i] :
                ( ~ ( object @ SY32 )
                | ~ ( exemplifies_property @ SV2 @ SY32 )
                | ( SY32
                  = ( sK6_Y @ SV10 @ SV7 @ SV2 ) ) )
          | ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK6_Y @ SV10 @ SV7 @ SV2 ) )
                | ~ ( object @ ( sK6_Y @ SV10 @ SV7 @ SV2 ) ) ) )
        = $false )
      | ( ( SV7 = SV10 )
        = $false )
      | ( ( is_the @ SV7 @ SV2 )
        = $false )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV7 )
        = $false )
      | ( ( object @ SV10 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[118]) ).

thf(123,plain,
    ! [SV2: $i,SV13: $i,SV15: $i,SV17: $i] :
      ( ( ( ~ ( object @ ( sK5_Z @ SV17 @ SV15 @ SV13 @ SV2 ) )
          | ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK5_Z @ SV17 @ SV15 @ SV13 @ SV2 ) )
                | ~ ( ( ( sK5_Z @ SV17 @ SV15 @ SV13 @ SV2 )
                     != SV17 ) ) ) )
        = $false )
      | ( ( ~ ( exemplifies_property @ SV2 @ SV17 )
          | ~ ( object @ SV17 ) )
        = $true )
      | ( ( ( SV17 != SV15 ) )
        = $true )
      | ( ( SV13 = SV15 )
        = $true )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV13 )
        = $false )
      | ( ( object @ SV15 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[120]) ).

thf(124,plain,
    ! [SV2: $i,SV14: $i,SV16: $i,SV18: $i] :
      ( ( ( ~ ( object @ ( sK4_Z @ SV18 @ SV16 @ SV14 @ SV2 ) )
          | ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK4_Z @ SV18 @ SV16 @ SV14 @ SV2 ) )
                | ~ ( ( ( sK4_Z @ SV18 @ SV16 @ SV14 @ SV2 )
                     != SV18 ) ) ) )
        = $false )
      | ( ( ~ ( exemplifies_property @ SV2 @ SV18 )
          | ~ ( object @ SV18 ) )
        = $true )
      | ( ( ( SV18 != SV16 ) )
        = $true )
      | ( ( is_the @ SV14 @ SV2 )
        = $true )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV14 )
        = $false )
      | ( ( object @ SV16 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[121]) ).

thf(125,plain,
    ! [SV7: $i,SV10: $i,SV2: $i] :
      ( ( ( ~ ! [SY32: $i] :
                ( ~ ( object @ SY32 )
                | ~ ( exemplifies_property @ SV2 @ SY32 )
                | ( SY32
                  = ( sK6_Y @ SV10 @ SV7 @ SV2 ) ) ) )
        = $false )
      | ( ( SV7 = SV10 )
        = $false )
      | ( ( is_the @ SV7 @ SV2 )
        = $false )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV7 )
        = $false )
      | ( ( object @ SV10 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[122]) ).

thf(126,plain,
    ! [SV7: $i,SV10: $i,SV2: $i] :
      ( ( ( ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK6_Y @ SV10 @ SV7 @ SV2 ) )
                | ~ ( object @ ( sK6_Y @ SV10 @ SV7 @ SV2 ) ) ) )
        = $false )
      | ( ( SV7 = SV10 )
        = $false )
      | ( ( is_the @ SV7 @ SV2 )
        = $false )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV7 )
        = $false )
      | ( ( object @ SV10 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[122]) ).

thf(127,plain,
    ! [SV2: $i,SV13: $i,SV15: $i,SV17: $i] :
      ( ( ( ~ ( object @ ( sK5_Z @ SV17 @ SV15 @ SV13 @ SV2 ) ) )
        = $false )
      | ( ( ~ ( exemplifies_property @ SV2 @ SV17 )
          | ~ ( object @ SV17 ) )
        = $true )
      | ( ( ( SV17 != SV15 ) )
        = $true )
      | ( ( SV13 = SV15 )
        = $true )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV13 )
        = $false )
      | ( ( object @ SV15 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[123]) ).

thf(128,plain,
    ! [SV13: $i,SV15: $i,SV17: $i,SV2: $i] :
      ( ( ( ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK5_Z @ SV17 @ SV15 @ SV13 @ SV2 ) )
                | ~ ( ( ( sK5_Z @ SV17 @ SV15 @ SV13 @ SV2 )
                     != SV17 ) ) ) )
        = $false )
      | ( ( ~ ( exemplifies_property @ SV2 @ SV17 )
          | ~ ( object @ SV17 ) )
        = $true )
      | ( ( ( SV17 != SV15 ) )
        = $true )
      | ( ( SV13 = SV15 )
        = $true )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV13 )
        = $false )
      | ( ( object @ SV15 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[123]) ).

thf(129,plain,
    ! [SV2: $i,SV14: $i,SV16: $i,SV18: $i] :
      ( ( ( ~ ( object @ ( sK4_Z @ SV18 @ SV16 @ SV14 @ SV2 ) ) )
        = $false )
      | ( ( ~ ( exemplifies_property @ SV2 @ SV18 )
          | ~ ( object @ SV18 ) )
        = $true )
      | ( ( ( SV18 != SV16 ) )
        = $true )
      | ( ( is_the @ SV14 @ SV2 )
        = $true )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV14 )
        = $false )
      | ( ( object @ SV16 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[124]) ).

thf(130,plain,
    ! [SV14: $i,SV16: $i,SV18: $i,SV2: $i] :
      ( ( ( ~ ~ ( ~ ( exemplifies_property @ SV2 @ ( sK4_Z @ SV18 @ SV16 @ SV14 @ SV2 ) )
                | ~ ( ( ( sK4_Z @ SV18 @ SV16 @ SV14 @ SV2 )
                     != SV18 ) ) ) )
        = $false )
      | ( ( ~ ( exemplifies_property @ SV2 @ SV18 )
          | ~ ( object @ SV18 ) )
        = $true )
      | ( ( ( SV18 != SV16 ) )
        = $true )
      | ( ( is_the @ SV14 @ SV2 )
        = $true )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV14 )
        = $false )
      | ( ( object @ SV16 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[124]) ).

thf(131,plain,
    ! [SV7: $i,SV10: $i,SV2: $i] :
      ( ( ( ! [SY32: $i] :
              ( ~ ( object @ SY32 )
              | ~ ( exemplifies_property @ SV2 @ SY32 )
              | ( SY32
                = ( sK6_Y @ SV10 @ SV7 @ SV2 ) ) ) )
        = $true )
      | ( ( SV7 = SV10 )
        = $false )
      | ( ( is_the @ SV7 @ SV2 )
        = $false )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV7 )
        = $false )
      | ( ( object @ SV10 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[125]) ).

thf(132,plain,
    ! [SV7: $i,SV10: $i,SV2: $i] :
      ( ( ( ~ ( ~ ( exemplifies_property @ SV2 @ ( sK6_Y @ SV10 @ SV7 @ SV2 ) )
              | ~ ( object @ ( sK6_Y @ SV10 @ SV7 @ SV2 ) ) ) )
        = $true )
      | ( ( SV7 = SV10 )
        = $false )
      | ( ( is_the @ SV7 @ SV2 )
        = $false )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV7 )
        = $false )
      | ( ( object @ SV10 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[126]) ).

thf(133,plain,
    ! [SV2: $i,SV13: $i,SV15: $i,SV17: $i] :
      ( ( ( object @ ( sK5_Z @ SV17 @ SV15 @ SV13 @ SV2 ) )
        = $true )
      | ( ( ~ ( exemplifies_property @ SV2 @ SV17 )
          | ~ ( object @ SV17 ) )
        = $true )
      | ( ( ( SV17 != SV15 ) )
        = $true )
      | ( ( SV13 = SV15 )
        = $true )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV13 )
        = $false )
      | ( ( object @ SV15 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[127]) ).

thf(134,plain,
    ! [SV13: $i,SV15: $i,SV17: $i,SV2: $i] :
      ( ( ( ~ ( ~ ( exemplifies_property @ SV2 @ ( sK5_Z @ SV17 @ SV15 @ SV13 @ SV2 ) )
              | ~ ( ( ( sK5_Z @ SV17 @ SV15 @ SV13 @ SV2 )
                   != SV17 ) ) ) )
        = $true )
      | ( ( ~ ( exemplifies_property @ SV2 @ SV17 )
          | ~ ( object @ SV17 ) )
        = $true )
      | ( ( ( SV17 != SV15 ) )
        = $true )
      | ( ( SV13 = SV15 )
        = $true )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV13 )
        = $false )
      | ( ( object @ SV15 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[128]) ).

thf(135,plain,
    ! [SV2: $i,SV14: $i,SV16: $i,SV18: $i] :
      ( ( ( object @ ( sK4_Z @ SV18 @ SV16 @ SV14 @ SV2 ) )
        = $true )
      | ( ( ~ ( exemplifies_property @ SV2 @ SV18 )
          | ~ ( object @ SV18 ) )
        = $true )
      | ( ( ( SV18 != SV16 ) )
        = $true )
      | ( ( is_the @ SV14 @ SV2 )
        = $true )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV14 )
        = $false )
      | ( ( object @ SV16 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[129]) ).

thf(136,plain,
    ! [SV14: $i,SV16: $i,SV18: $i,SV2: $i] :
      ( ( ( ~ ( ~ ( exemplifies_property @ SV2 @ ( sK4_Z @ SV18 @ SV16 @ SV14 @ SV2 ) )
              | ~ ( ( ( sK4_Z @ SV18 @ SV16 @ SV14 @ SV2 )
                   != SV18 ) ) ) )
        = $true )
      | ( ( ~ ( exemplifies_property @ SV2 @ SV18 )
          | ~ ( object @ SV18 ) )
        = $true )
      | ( ( ( SV18 != SV16 ) )
        = $true )
      | ( ( is_the @ SV14 @ SV2 )
        = $true )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV14 )
        = $false )
      | ( ( object @ SV16 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[130]) ).

thf(137,plain,
    ! [SV7: $i,SV10: $i,SV2: $i,SV19: $i] :
      ( ( ( ~ ( object @ SV19 )
          | ~ ( exemplifies_property @ SV2 @ SV19 )
          | ( SV19
            = ( sK6_Y @ SV10 @ SV7 @ SV2 ) ) )
        = $true )
      | ( ( SV7 = SV10 )
        = $false )
      | ( ( is_the @ SV7 @ SV2 )
        = $false )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV7 )
        = $false )
      | ( ( object @ SV10 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[131]) ).

thf(138,plain,
    ! [SV7: $i,SV10: $i,SV2: $i] :
      ( ( ( ~ ( exemplifies_property @ SV2 @ ( sK6_Y @ SV10 @ SV7 @ SV2 ) )
          | ~ ( object @ ( sK6_Y @ SV10 @ SV7 @ SV2 ) ) )
        = $false )
      | ( ( SV7 = SV10 )
        = $false )
      | ( ( is_the @ SV7 @ SV2 )
        = $false )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV7 )
        = $false )
      | ( ( object @ SV10 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[132]) ).

thf(139,plain,
    ! [SV13: $i,SV15: $i,SV17: $i,SV2: $i] :
      ( ( ( ~ ( exemplifies_property @ SV2 @ SV17 ) )
        = $true )
      | ( ( ~ ( object @ SV17 ) )
        = $true )
      | ( ( object @ ( sK5_Z @ SV17 @ SV15 @ SV13 @ SV2 ) )
        = $true )
      | ( ( ( SV17 != SV15 ) )
        = $true )
      | ( ( SV13 = SV15 )
        = $true )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV13 )
        = $false )
      | ( ( object @ SV15 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[133]) ).

thf(140,plain,
    ! [SV13: $i,SV15: $i,SV17: $i,SV2: $i] :
      ( ( ( ~ ( exemplifies_property @ SV2 @ ( sK5_Z @ SV17 @ SV15 @ SV13 @ SV2 ) )
          | ~ ( ( ( sK5_Z @ SV17 @ SV15 @ SV13 @ SV2 )
               != SV17 ) ) )
        = $false )
      | ( ( ~ ( exemplifies_property @ SV2 @ SV17 )
          | ~ ( object @ SV17 ) )
        = $true )
      | ( ( ( SV17 != SV15 ) )
        = $true )
      | ( ( SV13 = SV15 )
        = $true )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV13 )
        = $false )
      | ( ( object @ SV15 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[134]) ).

thf(141,plain,
    ! [SV14: $i,SV16: $i,SV18: $i,SV2: $i] :
      ( ( ( ~ ( exemplifies_property @ SV2 @ SV18 ) )
        = $true )
      | ( ( ~ ( object @ SV18 ) )
        = $true )
      | ( ( object @ ( sK4_Z @ SV18 @ SV16 @ SV14 @ SV2 ) )
        = $true )
      | ( ( ( SV18 != SV16 ) )
        = $true )
      | ( ( is_the @ SV14 @ SV2 )
        = $true )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV14 )
        = $false )
      | ( ( object @ SV16 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[135]) ).

thf(142,plain,
    ! [SV14: $i,SV16: $i,SV18: $i,SV2: $i] :
      ( ( ( ~ ( exemplifies_property @ SV2 @ ( sK4_Z @ SV18 @ SV16 @ SV14 @ SV2 ) )
          | ~ ( ( ( sK4_Z @ SV18 @ SV16 @ SV14 @ SV2 )
               != SV18 ) ) )
        = $false )
      | ( ( ~ ( exemplifies_property @ SV2 @ SV18 )
          | ~ ( object @ SV18 ) )
        = $true )
      | ( ( ( SV18 != SV16 ) )
        = $true )
      | ( ( is_the @ SV14 @ SV2 )
        = $true )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV14 )
        = $false )
      | ( ( object @ SV16 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[136]) ).

thf(143,plain,
    ! [SV7: $i,SV10: $i,SV2: $i,SV19: $i] :
      ( ( ( ~ ( object @ SV19 ) )
        = $true )
      | ( ( ~ ( exemplifies_property @ SV2 @ SV19 )
          | ( SV19
            = ( sK6_Y @ SV10 @ SV7 @ SV2 ) ) )
        = $true )
      | ( ( SV7 = SV10 )
        = $false )
      | ( ( is_the @ SV7 @ SV2 )
        = $false )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV7 )
        = $false )
      | ( ( object @ SV10 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[137]) ).

thf(144,plain,
    ! [SV7: $i,SV10: $i,SV2: $i] :
      ( ( ( ~ ( exemplifies_property @ SV2 @ ( sK6_Y @ SV10 @ SV7 @ SV2 ) ) )
        = $false )
      | ( ( SV7 = SV10 )
        = $false )
      | ( ( is_the @ SV7 @ SV2 )
        = $false )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV7 )
        = $false )
      | ( ( object @ SV10 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[138]) ).

thf(145,plain,
    ! [SV2: $i,SV7: $i,SV10: $i] :
      ( ( ( ~ ( object @ ( sK6_Y @ SV10 @ SV7 @ SV2 ) ) )
        = $false )
      | ( ( SV7 = SV10 )
        = $false )
      | ( ( is_the @ SV7 @ SV2 )
        = $false )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV7 )
        = $false )
      | ( ( object @ SV10 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[138]) ).

thf(146,plain,
    ! [SV13: $i,SV15: $i,SV17: $i,SV2: $i] :
      ( ( ( exemplifies_property @ SV2 @ SV17 )
        = $false )
      | ( ( ~ ( object @ SV17 ) )
        = $true )
      | ( ( object @ ( sK5_Z @ SV17 @ SV15 @ SV13 @ SV2 ) )
        = $true )
      | ( ( ( SV17 != SV15 ) )
        = $true )
      | ( ( SV13 = SV15 )
        = $true )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV13 )
        = $false )
      | ( ( object @ SV15 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[139]) ).

thf(147,plain,
    ! [SV13: $i,SV15: $i,SV17: $i,SV2: $i] :
      ( ( ( ~ ( exemplifies_property @ SV2 @ ( sK5_Z @ SV17 @ SV15 @ SV13 @ SV2 ) ) )
        = $false )
      | ( ( ~ ( exemplifies_property @ SV2 @ SV17 )
          | ~ ( object @ SV17 ) )
        = $true )
      | ( ( ( SV17 != SV15 ) )
        = $true )
      | ( ( SV13 = SV15 )
        = $true )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV13 )
        = $false )
      | ( ( object @ SV15 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[140]) ).

thf(148,plain,
    ! [SV2: $i,SV13: $i,SV15: $i,SV17: $i] :
      ( ( ( ~ ( ( ( sK5_Z @ SV17 @ SV15 @ SV13 @ SV2 )
               != SV17 ) ) )
        = $false )
      | ( ( ~ ( exemplifies_property @ SV2 @ SV17 )
          | ~ ( object @ SV17 ) )
        = $true )
      | ( ( ( SV17 != SV15 ) )
        = $true )
      | ( ( SV13 = SV15 )
        = $true )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV13 )
        = $false )
      | ( ( object @ SV15 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[140]) ).

thf(149,plain,
    ! [SV14: $i,SV16: $i,SV18: $i,SV2: $i] :
      ( ( ( exemplifies_property @ SV2 @ SV18 )
        = $false )
      | ( ( ~ ( object @ SV18 ) )
        = $true )
      | ( ( object @ ( sK4_Z @ SV18 @ SV16 @ SV14 @ SV2 ) )
        = $true )
      | ( ( ( SV18 != SV16 ) )
        = $true )
      | ( ( is_the @ SV14 @ SV2 )
        = $true )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV14 )
        = $false )
      | ( ( object @ SV16 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[141]) ).

thf(150,plain,
    ! [SV14: $i,SV16: $i,SV18: $i,SV2: $i] :
      ( ( ( ~ ( exemplifies_property @ SV2 @ ( sK4_Z @ SV18 @ SV16 @ SV14 @ SV2 ) ) )
        = $false )
      | ( ( ~ ( exemplifies_property @ SV2 @ SV18 )
          | ~ ( object @ SV18 ) )
        = $true )
      | ( ( ( SV18 != SV16 ) )
        = $true )
      | ( ( is_the @ SV14 @ SV2 )
        = $true )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV14 )
        = $false )
      | ( ( object @ SV16 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[142]) ).

thf(151,plain,
    ! [SV2: $i,SV14: $i,SV16: $i,SV18: $i] :
      ( ( ( ~ ( ( ( sK4_Z @ SV18 @ SV16 @ SV14 @ SV2 )
               != SV18 ) ) )
        = $false )
      | ( ( ~ ( exemplifies_property @ SV2 @ SV18 )
          | ~ ( object @ SV18 ) )
        = $true )
      | ( ( ( SV18 != SV16 ) )
        = $true )
      | ( ( is_the @ SV14 @ SV2 )
        = $true )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV14 )
        = $false )
      | ( ( object @ SV16 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[142]) ).

thf(152,plain,
    ! [SV7: $i,SV10: $i,SV2: $i,SV19: $i] :
      ( ( ( object @ SV19 )
        = $false )
      | ( ( ~ ( exemplifies_property @ SV2 @ SV19 )
          | ( SV19
            = ( sK6_Y @ SV10 @ SV7 @ SV2 ) ) )
        = $true )
      | ( ( SV7 = SV10 )
        = $false )
      | ( ( is_the @ SV7 @ SV2 )
        = $false )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV7 )
        = $false )
      | ( ( object @ SV10 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[143]) ).

thf(153,plain,
    ! [SV7: $i,SV10: $i,SV2: $i] :
      ( ( ( exemplifies_property @ SV2 @ ( sK6_Y @ SV10 @ SV7 @ SV2 ) )
        = $true )
      | ( ( SV7 = SV10 )
        = $false )
      | ( ( is_the @ SV7 @ SV2 )
        = $false )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV7 )
        = $false )
      | ( ( object @ SV10 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[144]) ).

thf(154,plain,
    ! [SV2: $i,SV7: $i,SV10: $i] :
      ( ( ( object @ ( sK6_Y @ SV10 @ SV7 @ SV2 ) )
        = $true )
      | ( ( SV7 = SV10 )
        = $false )
      | ( ( is_the @ SV7 @ SV2 )
        = $false )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV7 )
        = $false )
      | ( ( object @ SV10 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[145]) ).

thf(155,plain,
    ! [SV13: $i,SV15: $i,SV2: $i,SV17: $i] :
      ( ( ( object @ SV17 )
        = $false )
      | ( ( exemplifies_property @ SV2 @ SV17 )
        = $false )
      | ( ( object @ ( sK5_Z @ SV17 @ SV15 @ SV13 @ SV2 ) )
        = $true )
      | ( ( ( SV17 != SV15 ) )
        = $true )
      | ( ( SV13 = SV15 )
        = $true )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV13 )
        = $false )
      | ( ( object @ SV15 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[146]) ).

thf(156,plain,
    ! [SV13: $i,SV15: $i,SV17: $i,SV2: $i] :
      ( ( ( exemplifies_property @ SV2 @ ( sK5_Z @ SV17 @ SV15 @ SV13 @ SV2 ) )
        = $true )
      | ( ( ~ ( exemplifies_property @ SV2 @ SV17 )
          | ~ ( object @ SV17 ) )
        = $true )
      | ( ( ( SV17 != SV15 ) )
        = $true )
      | ( ( SV13 = SV15 )
        = $true )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV13 )
        = $false )
      | ( ( object @ SV15 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[147]) ).

thf(157,plain,
    ! [SV2: $i,SV13: $i,SV15: $i,SV17: $i] :
      ( ( ( ( ( sK5_Z @ SV17 @ SV15 @ SV13 @ SV2 )
           != SV17 ) )
        = $true )
      | ( ( ~ ( exemplifies_property @ SV2 @ SV17 )
          | ~ ( object @ SV17 ) )
        = $true )
      | ( ( ( SV17 != SV15 ) )
        = $true )
      | ( ( SV13 = SV15 )
        = $true )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV13 )
        = $false )
      | ( ( object @ SV15 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[148]) ).

thf(158,plain,
    ! [SV14: $i,SV16: $i,SV2: $i,SV18: $i] :
      ( ( ( object @ SV18 )
        = $false )
      | ( ( exemplifies_property @ SV2 @ SV18 )
        = $false )
      | ( ( object @ ( sK4_Z @ SV18 @ SV16 @ SV14 @ SV2 ) )
        = $true )
      | ( ( ( SV18 != SV16 ) )
        = $true )
      | ( ( is_the @ SV14 @ SV2 )
        = $true )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV14 )
        = $false )
      | ( ( object @ SV16 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[149]) ).

thf(159,plain,
    ! [SV14: $i,SV16: $i,SV18: $i,SV2: $i] :
      ( ( ( exemplifies_property @ SV2 @ ( sK4_Z @ SV18 @ SV16 @ SV14 @ SV2 ) )
        = $true )
      | ( ( ~ ( exemplifies_property @ SV2 @ SV18 )
          | ~ ( object @ SV18 ) )
        = $true )
      | ( ( ( SV18 != SV16 ) )
        = $true )
      | ( ( is_the @ SV14 @ SV2 )
        = $true )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV14 )
        = $false )
      | ( ( object @ SV16 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[150]) ).

thf(160,plain,
    ! [SV2: $i,SV14: $i,SV16: $i,SV18: $i] :
      ( ( ( ( ( sK4_Z @ SV18 @ SV16 @ SV14 @ SV2 )
           != SV18 ) )
        = $true )
      | ( ( ~ ( exemplifies_property @ SV2 @ SV18 )
          | ~ ( object @ SV18 ) )
        = $true )
      | ( ( ( SV18 != SV16 ) )
        = $true )
      | ( ( is_the @ SV14 @ SV2 )
        = $true )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV14 )
        = $false )
      | ( ( object @ SV16 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[151]) ).

thf(161,plain,
    ! [SV7: $i,SV10: $i,SV19: $i,SV2: $i] :
      ( ( ( ~ ( exemplifies_property @ SV2 @ SV19 ) )
        = $true )
      | ( ( SV19
          = ( sK6_Y @ SV10 @ SV7 @ SV2 ) )
        = $true )
      | ( ( object @ SV19 )
        = $false )
      | ( ( SV7 = SV10 )
        = $false )
      | ( ( is_the @ SV7 @ SV2 )
        = $false )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV7 )
        = $false )
      | ( ( object @ SV10 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[152]) ).

thf(162,plain,
    ! [SV2: $i,SV13: $i,SV15: $i,SV17: $i] :
      ( ( ( SV17 = SV15 )
        = $false )
      | ( ( object @ ( sK5_Z @ SV17 @ SV15 @ SV13 @ SV2 ) )
        = $true )
      | ( ( exemplifies_property @ SV2 @ SV17 )
        = $false )
      | ( ( object @ SV17 )
        = $false )
      | ( ( SV13 = SV15 )
        = $true )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV13 )
        = $false )
      | ( ( object @ SV15 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[155]) ).

thf(163,plain,
    ! [SV13: $i,SV15: $i,SV17: $i,SV2: $i] :
      ( ( ( ~ ( exemplifies_property @ SV2 @ SV17 ) )
        = $true )
      | ( ( ~ ( object @ SV17 ) )
        = $true )
      | ( ( exemplifies_property @ SV2 @ ( sK5_Z @ SV17 @ SV15 @ SV13 @ SV2 ) )
        = $true )
      | ( ( ( SV17 != SV15 ) )
        = $true )
      | ( ( SV13 = SV15 )
        = $true )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV13 )
        = $false )
      | ( ( object @ SV15 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[156]) ).

thf(164,plain,
    ! [SV2: $i,SV13: $i,SV15: $i,SV17: $i] :
      ( ( ( ( sK5_Z @ SV17 @ SV15 @ SV13 @ SV2 )
          = SV17 )
        = $false )
      | ( ( ~ ( exemplifies_property @ SV2 @ SV17 )
          | ~ ( object @ SV17 ) )
        = $true )
      | ( ( ( SV17 != SV15 ) )
        = $true )
      | ( ( SV13 = SV15 )
        = $true )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV13 )
        = $false )
      | ( ( object @ SV15 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[157]) ).

thf(165,plain,
    ! [SV2: $i,SV14: $i,SV16: $i,SV18: $i] :
      ( ( ( SV18 = SV16 )
        = $false )
      | ( ( object @ ( sK4_Z @ SV18 @ SV16 @ SV14 @ SV2 ) )
        = $true )
      | ( ( exemplifies_property @ SV2 @ SV18 )
        = $false )
      | ( ( object @ SV18 )
        = $false )
      | ( ( is_the @ SV14 @ SV2 )
        = $true )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV14 )
        = $false )
      | ( ( object @ SV16 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[158]) ).

thf(166,plain,
    ! [SV14: $i,SV16: $i,SV18: $i,SV2: $i] :
      ( ( ( ~ ( exemplifies_property @ SV2 @ SV18 ) )
        = $true )
      | ( ( ~ ( object @ SV18 ) )
        = $true )
      | ( ( exemplifies_property @ SV2 @ ( sK4_Z @ SV18 @ SV16 @ SV14 @ SV2 ) )
        = $true )
      | ( ( ( SV18 != SV16 ) )
        = $true )
      | ( ( is_the @ SV14 @ SV2 )
        = $true )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV14 )
        = $false )
      | ( ( object @ SV16 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[159]) ).

thf(167,plain,
    ! [SV2: $i,SV14: $i,SV16: $i,SV18: $i] :
      ( ( ( ( sK4_Z @ SV18 @ SV16 @ SV14 @ SV2 )
          = SV18 )
        = $false )
      | ( ( ~ ( exemplifies_property @ SV2 @ SV18 )
          | ~ ( object @ SV18 ) )
        = $true )
      | ( ( ( SV18 != SV16 ) )
        = $true )
      | ( ( is_the @ SV14 @ SV2 )
        = $true )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV14 )
        = $false )
      | ( ( object @ SV16 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[160]) ).

thf(168,plain,
    ! [SV7: $i,SV10: $i,SV19: $i,SV2: $i] :
      ( ( ( exemplifies_property @ SV2 @ SV19 )
        = $false )
      | ( ( SV19
          = ( sK6_Y @ SV10 @ SV7 @ SV2 ) )
        = $true )
      | ( ( object @ SV19 )
        = $false )
      | ( ( SV7 = SV10 )
        = $false )
      | ( ( is_the @ SV7 @ SV2 )
        = $false )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV7 )
        = $false )
      | ( ( object @ SV10 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[161]) ).

thf(169,plain,
    ! [SV13: $i,SV15: $i,SV17: $i,SV2: $i] :
      ( ( ( exemplifies_property @ SV2 @ SV17 )
        = $false )
      | ( ( ~ ( object @ SV17 ) )
        = $true )
      | ( ( exemplifies_property @ SV2 @ ( sK5_Z @ SV17 @ SV15 @ SV13 @ SV2 ) )
        = $true )
      | ( ( ( SV17 != SV15 ) )
        = $true )
      | ( ( SV13 = SV15 )
        = $true )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV13 )
        = $false )
      | ( ( object @ SV15 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[163]) ).

thf(170,plain,
    ! [SV13: $i,SV15: $i,SV17: $i,SV2: $i] :
      ( ( ( ~ ( exemplifies_property @ SV2 @ SV17 ) )
        = $true )
      | ( ( ~ ( object @ SV17 ) )
        = $true )
      | ( ( ( sK5_Z @ SV17 @ SV15 @ SV13 @ SV2 )
          = SV17 )
        = $false )
      | ( ( ( SV17 != SV15 ) )
        = $true )
      | ( ( SV13 = SV15 )
        = $true )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV13 )
        = $false )
      | ( ( object @ SV15 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[164]) ).

thf(171,plain,
    ! [SV14: $i,SV16: $i,SV18: $i,SV2: $i] :
      ( ( ( exemplifies_property @ SV2 @ SV18 )
        = $false )
      | ( ( ~ ( object @ SV18 ) )
        = $true )
      | ( ( exemplifies_property @ SV2 @ ( sK4_Z @ SV18 @ SV16 @ SV14 @ SV2 ) )
        = $true )
      | ( ( ( SV18 != SV16 ) )
        = $true )
      | ( ( is_the @ SV14 @ SV2 )
        = $true )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV14 )
        = $false )
      | ( ( object @ SV16 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[166]) ).

thf(172,plain,
    ! [SV14: $i,SV16: $i,SV18: $i,SV2: $i] :
      ( ( ( ~ ( exemplifies_property @ SV2 @ SV18 ) )
        = $true )
      | ( ( ~ ( object @ SV18 ) )
        = $true )
      | ( ( ( sK4_Z @ SV18 @ SV16 @ SV14 @ SV2 )
          = SV18 )
        = $false )
      | ( ( ( SV18 != SV16 ) )
        = $true )
      | ( ( is_the @ SV14 @ SV2 )
        = $true )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV14 )
        = $false )
      | ( ( object @ SV16 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[167]) ).

thf(173,plain,
    ! [SV13: $i,SV15: $i,SV2: $i,SV17: $i] :
      ( ( ( object @ SV17 )
        = $false )
      | ( ( exemplifies_property @ SV2 @ SV17 )
        = $false )
      | ( ( exemplifies_property @ SV2 @ ( sK5_Z @ SV17 @ SV15 @ SV13 @ SV2 ) )
        = $true )
      | ( ( ( SV17 != SV15 ) )
        = $true )
      | ( ( SV13 = SV15 )
        = $true )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV13 )
        = $false )
      | ( ( object @ SV15 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[169]) ).

thf(174,plain,
    ! [SV13: $i,SV15: $i,SV17: $i,SV2: $i] :
      ( ( ( exemplifies_property @ SV2 @ SV17 )
        = $false )
      | ( ( ~ ( object @ SV17 ) )
        = $true )
      | ( ( ( sK5_Z @ SV17 @ SV15 @ SV13 @ SV2 )
          = SV17 )
        = $false )
      | ( ( ( SV17 != SV15 ) )
        = $true )
      | ( ( SV13 = SV15 )
        = $true )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV13 )
        = $false )
      | ( ( object @ SV15 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[170]) ).

thf(175,plain,
    ! [SV14: $i,SV16: $i,SV2: $i,SV18: $i] :
      ( ( ( object @ SV18 )
        = $false )
      | ( ( exemplifies_property @ SV2 @ SV18 )
        = $false )
      | ( ( exemplifies_property @ SV2 @ ( sK4_Z @ SV18 @ SV16 @ SV14 @ SV2 ) )
        = $true )
      | ( ( ( SV18 != SV16 ) )
        = $true )
      | ( ( is_the @ SV14 @ SV2 )
        = $true )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV14 )
        = $false )
      | ( ( object @ SV16 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[171]) ).

thf(176,plain,
    ! [SV14: $i,SV16: $i,SV18: $i,SV2: $i] :
      ( ( ( exemplifies_property @ SV2 @ SV18 )
        = $false )
      | ( ( ~ ( object @ SV18 ) )
        = $true )
      | ( ( ( sK4_Z @ SV18 @ SV16 @ SV14 @ SV2 )
          = SV18 )
        = $false )
      | ( ( ( SV18 != SV16 ) )
        = $true )
      | ( ( is_the @ SV14 @ SV2 )
        = $true )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV14 )
        = $false )
      | ( ( object @ SV16 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[172]) ).

thf(177,plain,
    ! [SV13: $i,SV2: $i,SV15: $i,SV17: $i] :
      ( ( ( SV17 = SV15 )
        = $false )
      | ( ( exemplifies_property @ SV2 @ ( sK5_Z @ SV17 @ SV15 @ SV13 @ SV2 ) )
        = $true )
      | ( ( exemplifies_property @ SV2 @ SV17 )
        = $false )
      | ( ( object @ SV17 )
        = $false )
      | ( ( SV13 = SV15 )
        = $true )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV13 )
        = $false )
      | ( ( object @ SV15 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[173]) ).

thf(178,plain,
    ! [SV13: $i,SV15: $i,SV2: $i,SV17: $i] :
      ( ( ( object @ SV17 )
        = $false )
      | ( ( exemplifies_property @ SV2 @ SV17 )
        = $false )
      | ( ( ( sK5_Z @ SV17 @ SV15 @ SV13 @ SV2 )
          = SV17 )
        = $false )
      | ( ( ( SV17 != SV15 ) )
        = $true )
      | ( ( SV13 = SV15 )
        = $true )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV13 )
        = $false )
      | ( ( object @ SV15 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[174]) ).

thf(179,plain,
    ! [SV14: $i,SV2: $i,SV16: $i,SV18: $i] :
      ( ( ( SV18 = SV16 )
        = $false )
      | ( ( exemplifies_property @ SV2 @ ( sK4_Z @ SV18 @ SV16 @ SV14 @ SV2 ) )
        = $true )
      | ( ( exemplifies_property @ SV2 @ SV18 )
        = $false )
      | ( ( object @ SV18 )
        = $false )
      | ( ( is_the @ SV14 @ SV2 )
        = $true )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV14 )
        = $false )
      | ( ( object @ SV16 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[175]) ).

thf(180,plain,
    ! [SV14: $i,SV16: $i,SV2: $i,SV18: $i] :
      ( ( ( object @ SV18 )
        = $false )
      | ( ( exemplifies_property @ SV2 @ SV18 )
        = $false )
      | ( ( ( sK4_Z @ SV18 @ SV16 @ SV14 @ SV2 )
          = SV18 )
        = $false )
      | ( ( ( SV18 != SV16 ) )
        = $true )
      | ( ( is_the @ SV14 @ SV2 )
        = $true )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV14 )
        = $false )
      | ( ( object @ SV16 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[176]) ).

thf(181,plain,
    ! [SV2: $i,SV13: $i,SV15: $i,SV17: $i] :
      ( ( ( SV17 = SV15 )
        = $false )
      | ( ( ( sK5_Z @ SV17 @ SV15 @ SV13 @ SV2 )
          = SV17 )
        = $false )
      | ( ( exemplifies_property @ SV2 @ SV17 )
        = $false )
      | ( ( object @ SV17 )
        = $false )
      | ( ( SV13 = SV15 )
        = $true )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV13 )
        = $false )
      | ( ( object @ SV15 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[178]) ).

thf(182,plain,
    ! [SV2: $i,SV14: $i,SV16: $i,SV18: $i] :
      ( ( ( SV18 = SV16 )
        = $false )
      | ( ( ( sK4_Z @ SV18 @ SV16 @ SV14 @ SV2 )
          = SV18 )
        = $false )
      | ( ( exemplifies_property @ SV2 @ SV18 )
        = $false )
      | ( ( object @ SV18 )
        = $false )
      | ( ( is_the @ SV14 @ SV2 )
        = $true )
      | ( ( property @ SV2 )
        = $false )
      | ( ( object @ SV14 )
        = $false )
      | ( ( object @ SV16 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[180]) ).

thf(183,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[30,182,181,179,177,168,165,162,154,153,119,83,82,81,80,57,40,34,33,32,31]) ).

thf(184,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[183]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : PHI010+1 : TPTP v8.1.0. Released v7.2.0.
% 0.03/0.13  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34  % Computer : n017.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 : Thu Jun  2 00:19:27 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  
% 0.12/0.35   No.of.Axioms: 4
% 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:4,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:6,loop_count:0,foatp_calls:0,translation:fof_full)............
% 0.20/0.50  
% 0.20/0.50  ********************************
% 0.20/0.50  *   All subproblems solved!    *
% 0.20/0.50  ********************************
% 0.20/0.50  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:9,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:183,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.20/0.52  
% 0.20/0.52  %**** Beginning of derivation protocol ****
% 0.20/0.52  % SZS output start CNFRefutation
% See solution above
% 0.20/0.52  
% 0.20/0.52  %**** End of derivation protocol ****
% 0.20/0.52  %**** no. of clauses in derivation: 184 ****
% 0.20/0.52  %**** clause counter: 183 ****
% 0.20/0.52  
% 0.20/0.52  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:9,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:183,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------