TSTP Solution File: CSR137^2 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : CSR137^2 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp
% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s

% Computer : n029.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 : Fri Jul 15 21:37:27 EDT 2022

% Result   : Theorem 0.19s 0.48s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   72
% Syntax   : Number of formulae    :  299 ( 167 unt;  27 typ;   0 def)
%            Number of atoms       : 1349 ( 404 equ;   0 cnn)
%            Maximal formula atoms :    4 (   4 avg)
%            Number of connectives : 1988 ( 307   ~; 336   |;  32   &;1287   @)
%                                         (   4 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   3 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :  129 ( 129   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   29 (  26 usr;  15 con; 0-3 aty)
%            Number of variables   :  571 (   0   ^ 557   !;  14   ?; 571   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_num,type,
    num: $tType ).

thf(tp_attribute_THFTYPE_i,type,
    attribute_THFTYPE_i: $i ).

thf(tp_domain_THFTYPE_IIiioIiioI,type,
    domain_THFTYPE_IIiioIiioI: ( $i > $i > $o ) > $i > $i > $o ).

thf(tp_domain_THFTYPE_IiiioI,type,
    domain_THFTYPE_IiiioI: $i > $i > $i > $o ).

thf(tp_equal_THFTYPE_i,type,
    equal_THFTYPE_i: $i ).

thf(tp_holdsDuring_THFTYPE_IiooI,type,
    holdsDuring_THFTYPE_IiooI: $i > $o > $o ).

thf(tp_instance_THFTYPE_IIiioIioI,type,
    instance_THFTYPE_IIiioIioI: ( $i > $i > $o ) > $i > $o ).

thf(tp_instance_THFTYPE_IIiooIioI,type,
    instance_THFTYPE_IIiooIioI: ( $i > $o > $o ) > $i > $o ).

thf(tp_instance_THFTYPE_IiioI,type,
    instance_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_lAnna_THFTYPE_i,type,
    lAnna_THFTYPE_i: $i ).

thf(tp_lAsymmetricRelation_THFTYPE_i,type,
    lAsymmetricRelation_THFTYPE_i: $i ).

thf(tp_lBen_THFTYPE_i,type,
    lBen_THFTYPE_i: $i ).

thf(tp_lBill_THFTYPE_i,type,
    lBill_THFTYPE_i: $i ).

thf(tp_lBinaryPredicate_THFTYPE_i,type,
    lBinaryPredicate_THFTYPE_i: $i ).

thf(tp_lBob_THFTYPE_i,type,
    lBob_THFTYPE_i: $i ).

thf(tp_lMary_THFTYPE_i,type,
    lMary_THFTYPE_i: $i ).

thf(tp_lOrganism_THFTYPE_i,type,
    lOrganism_THFTYPE_i: $i ).

thf(tp_lSue_THFTYPE_i,type,
    lSue_THFTYPE_i: $i ).

thf(tp_likes_THFTYPE_IiioI,type,
    likes_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_n1_THFTYPE_i,type,
    n1_THFTYPE_i: $i ).

thf(tp_n2_THFTYPE_i,type,
    n2_THFTYPE_i: $i ).

thf(tp_parent_THFTYPE_IiioI,type,
    parent_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_range_THFTYPE_IiioI,type,
    range_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_sK1_PARENT,type,
    sK1_PARENT: $i > $i ).

thf(tp_subclass_THFTYPE_IiioI,type,
    subclass_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_subrelation_THFTYPE_IIioIIioIoI,type,
    subrelation_THFTYPE_IIioIIioIoI: ( $i > $o ) > ( $i > $o ) > $o ).

thf(tp_subrelation_THFTYPE_IiioI,type,
    subrelation_THFTYPE_IiioI: $i > $i > $o ).

thf(1,axiom,
    instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_043) ).

thf(2,axiom,
    instance_THFTYPE_IIiioIioI @ instance_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_042) ).

thf(3,axiom,
    instance_THFTYPE_IiioI @ attribute_THFTYPE_i @ lAsymmetricRelation_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_041) ).

thf(4,axiom,
    instance_THFTYPE_IIiioIioI @ subclass_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_040) ).

thf(5,axiom,
    instance_THFTYPE_IiioI @ equal_THFTYPE_i @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_039) ).

thf(6,axiom,
    instance_THFTYPE_IIiioIioI @ subrelation_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_038) ).

thf(7,axiom,
    domain_THFTYPE_IIiioIiioI @ parent_THFTYPE_IiioI @ n2_THFTYPE_i @ lOrganism_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_037) ).

thf(8,axiom,
    instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lAsymmetricRelation_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_036) ).

thf(9,axiom,
    domain_THFTYPE_IIiioIiioI @ parent_THFTYPE_IiioI @ n1_THFTYPE_i @ lOrganism_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_035) ).

thf(10,axiom,
    instance_THFTYPE_IIiioIioI @ parent_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_034) ).

thf(11,axiom,
    instance_THFTYPE_IIiioIioI @ range_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_033) ).

thf(12,axiom,
    instance_THFTYPE_IIiioIioI @ range_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_032) ).

thf(13,axiom,
    instance_THFTYPE_IIiioIioI @ parent_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_031) ).

thf(14,axiom,
    ! [NUMBER: $i,PRED1: $i,CLASS1: $i,PRED2: $i] :
      ( ( ( subrelation_THFTYPE_IiioI @ PRED1 @ PRED2 )
        & ( domain_THFTYPE_IiiioI @ PRED2 @ NUMBER @ CLASS1 ) )
     => ( domain_THFTYPE_IiiioI @ PRED1 @ NUMBER @ CLASS1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_030) ).

thf(15,axiom,
    parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_029) ).

thf(16,axiom,
    ! [NUMBER: $i,CLASS1: $i,REL: $i,CLASS2: $i] :
      ( ( ( domain_THFTYPE_IiiioI @ REL @ NUMBER @ CLASS1 )
        & ( domain_THFTYPE_IiiioI @ REL @ NUMBER @ CLASS2 ) )
     => ( ( subclass_THFTYPE_IiioI @ CLASS1 @ CLASS2 )
        | ( subclass_THFTYPE_IiioI @ CLASS2 @ CLASS1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_028) ).

thf(17,axiom,
    parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_027) ).

thf(18,axiom,
    ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_026) ).

thf(19,axiom,
    ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_025) ).

thf(20,axiom,
    ! [REL2: $i,CLASS1: $i,REL1: $i] :
      ( ( ( subrelation_THFTYPE_IiioI @ REL1 @ REL2 )
        & ( range_THFTYPE_IiioI @ REL2 @ CLASS1 ) )
     => ( range_THFTYPE_IiioI @ REL1 @ CLASS1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_024) ).

thf(21,axiom,
    ! [CLASS: $i,CHILD: $i,PARENT: $i] :
      ( ( ( parent_THFTYPE_IiioI @ CHILD @ PARENT )
        & ( subclass_THFTYPE_IiioI @ CLASS @ lOrganism_THFTYPE_i )
        & ( instance_THFTYPE_IiioI @ PARENT @ CLASS ) )
     => ( instance_THFTYPE_IiioI @ CHILD @ CLASS ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_023) ).

thf(22,axiom,
    likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_022) ).

thf(23,axiom,
    likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_021) ).

thf(24,axiom,
    ! [CLASS1: $i,REL: $i,CLASS2: $i] :
      ( ( ( range_THFTYPE_IiioI @ REL @ CLASS1 )
        & ( range_THFTYPE_IiioI @ REL @ CLASS2 ) )
     => ( ( subclass_THFTYPE_IiioI @ CLASS1 @ CLASS2 )
        | ( subclass_THFTYPE_IiioI @ CLASS2 @ CLASS1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_020) ).

thf(25,axiom,
    ! [THING2: $i,THING1: $i] :
      ( ( THING1 = THING2 )
     => ! [CLASS: $i] :
          ( ( instance_THFTYPE_IiioI @ THING1 @ CLASS )
        <=> ( instance_THFTYPE_IiioI @ THING2 @ CLASS ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_019) ).

thf(26,axiom,
    likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_018) ).

thf(27,axiom,
    likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_017) ).

thf(28,axiom,
    ! [TIME: $i,SITUATION: $o] :
      ( ( holdsDuring_THFTYPE_IiooI @ TIME @ ~ SITUATION )
     => ~ ( holdsDuring_THFTYPE_IiooI @ TIME @ SITUATION ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_016) ).

thf(29,axiom,
    ! [ORGANISM: $i] :
      ( ( instance_THFTYPE_IiioI @ ORGANISM @ lOrganism_THFTYPE_i )
     => ? [PARENT: $i] : ( parent_THFTYPE_IiioI @ ORGANISM @ PARENT ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_015) ).

thf(30,axiom,
    ! [REL2: $i > $o,ROW: $i,REL1: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI @ REL1 @ REL2 )
        & ( REL1 @ ROW ) )
     => ( REL2 @ ROW ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_014) ).

thf(31,axiom,
    parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_013) ).

thf(32,axiom,
    parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_012) ).

thf(33,axiom,
    ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_011) ).

thf(34,axiom,
    ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_010) ).

thf(35,axiom,
    ! [CLASS1: $i,CLASS2: $i] :
      ( ( CLASS1 = CLASS2 )
     => ! [THING: $i] :
          ( ( instance_THFTYPE_IiioI @ THING @ CLASS1 )
        <=> ( instance_THFTYPE_IiioI @ THING @ CLASS2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_009) ).

thf(36,axiom,
    parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_008) ).

thf(37,axiom,
    parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_007) ).

thf(38,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( ( subclass_THFTYPE_IiioI @ X @ Y )
        & ( instance_THFTYPE_IiioI @ Z @ X ) )
     => ( instance_THFTYPE_IiioI @ Z @ Y ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_006) ).

thf(39,axiom,
    parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_005) ).

thf(40,axiom,
    parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_004) ).

thf(41,axiom,
    ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_003) ).

thf(42,axiom,
    ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_002) ).

thf(43,axiom,
    likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_001) ).

thf(44,axiom,
    likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax) ).

thf(45,conjecture,
    ? [Q: $i > $i > $o,R: $i > $i > $o,Y: $i] :
      ( ( R @ Y @ lBill_THFTYPE_i )
      & ( Q @ Y @ lAnna_THFTYPE_i )
      & ~ ! [A: $i,B: $i] : ( R @ A @ B )
      & ~ ! [A: $i,B: $i] : ( Q @ A @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

thf(46,negated_conjecture,
    ( ( ? [Q: $i > $i > $o,R: $i > $i > $o,Y: $i] :
          ( ( R @ Y @ lBill_THFTYPE_i )
          & ( Q @ Y @ lAnna_THFTYPE_i )
          & ~ ! [A: $i,B: $i] : ( R @ A @ B )
          & ~ ! [A: $i,B: $i] : ( Q @ A @ B ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[45]) ).

thf(47,plain,
    ( ( ? [Q: $i > $i > $o,R: $i > $i > $o,Y: $i] :
          ( ( R @ Y @ lBill_THFTYPE_i )
          & ( Q @ Y @ lAnna_THFTYPE_i )
          & ~ ! [A: $i,B: $i] : ( R @ A @ B )
          & ~ ! [A: $i,B: $i] : ( Q @ A @ B ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[46]) ).

thf(48,plain,
    ( ( instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[1]) ).

thf(49,plain,
    ( ( instance_THFTYPE_IIiioIioI @ instance_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(50,plain,
    ( ( instance_THFTYPE_IiioI @ attribute_THFTYPE_i @ lAsymmetricRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[3]) ).

thf(51,plain,
    ( ( instance_THFTYPE_IIiioIioI @ subclass_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[4]) ).

thf(52,plain,
    ( ( instance_THFTYPE_IiioI @ equal_THFTYPE_i @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[5]) ).

thf(53,plain,
    ( ( instance_THFTYPE_IIiioIioI @ subrelation_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[6]) ).

thf(54,plain,
    ( ( domain_THFTYPE_IIiioIiioI @ parent_THFTYPE_IiioI @ n2_THFTYPE_i @ lOrganism_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[7]) ).

thf(55,plain,
    ( ( instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lAsymmetricRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[8]) ).

thf(56,plain,
    ( ( domain_THFTYPE_IIiioIiioI @ parent_THFTYPE_IiioI @ n1_THFTYPE_i @ lOrganism_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[9]) ).

thf(57,plain,
    ( ( instance_THFTYPE_IIiioIioI @ parent_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[10]) ).

thf(58,plain,
    ( ( instance_THFTYPE_IIiioIioI @ range_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[11]) ).

thf(59,plain,
    ( ( instance_THFTYPE_IIiioIioI @ range_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[12]) ).

thf(60,plain,
    ( ( instance_THFTYPE_IIiioIioI @ parent_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[13]) ).

thf(61,plain,
    ( ( ! [NUMBER: $i,PRED1: $i,CLASS1: $i,PRED2: $i] :
          ( ( ( subrelation_THFTYPE_IiioI @ PRED1 @ PRED2 )
            & ( domain_THFTYPE_IiiioI @ PRED2 @ NUMBER @ CLASS1 ) )
         => ( domain_THFTYPE_IiiioI @ PRED1 @ NUMBER @ CLASS1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[14]) ).

thf(62,plain,
    ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[15]) ).

thf(63,plain,
    ( ( ! [NUMBER: $i,CLASS1: $i,REL: $i,CLASS2: $i] :
          ( ( ( domain_THFTYPE_IiiioI @ REL @ NUMBER @ CLASS1 )
            & ( domain_THFTYPE_IiiioI @ REL @ NUMBER @ CLASS2 ) )
         => ( ( subclass_THFTYPE_IiioI @ CLASS1 @ CLASS2 )
            | ( subclass_THFTYPE_IiioI @ CLASS2 @ CLASS1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[16]) ).

thf(64,plain,
    ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[17]) ).

thf(65,plain,
    ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
    = $true ),
    inference(unfold_def,[status(thm)],[18]) ).

thf(66,plain,
    ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
    = $true ),
    inference(unfold_def,[status(thm)],[19]) ).

thf(67,plain,
    ( ( ! [REL2: $i,CLASS1: $i,REL1: $i] :
          ( ( ( subrelation_THFTYPE_IiioI @ REL1 @ REL2 )
            & ( range_THFTYPE_IiioI @ REL2 @ CLASS1 ) )
         => ( range_THFTYPE_IiioI @ REL1 @ CLASS1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[20]) ).

thf(68,plain,
    ( ( ! [CLASS: $i,CHILD: $i,PARENT: $i] :
          ( ( ( parent_THFTYPE_IiioI @ CHILD @ PARENT )
            & ( subclass_THFTYPE_IiioI @ CLASS @ lOrganism_THFTYPE_i )
            & ( instance_THFTYPE_IiioI @ PARENT @ CLASS ) )
         => ( instance_THFTYPE_IiioI @ CHILD @ CLASS ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[21]) ).

thf(69,plain,
    ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[22]) ).

thf(70,plain,
    ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[23]) ).

thf(71,plain,
    ( ( ! [CLASS1: $i,REL: $i,CLASS2: $i] :
          ( ( ( range_THFTYPE_IiioI @ REL @ CLASS1 )
            & ( range_THFTYPE_IiioI @ REL @ CLASS2 ) )
         => ( ( subclass_THFTYPE_IiioI @ CLASS1 @ CLASS2 )
            | ( subclass_THFTYPE_IiioI @ CLASS2 @ CLASS1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[24]) ).

thf(72,plain,
    ( ( ! [THING2: $i,THING1: $i] :
          ( ( THING1 = THING2 )
         => ! [CLASS: $i] :
              ( ( instance_THFTYPE_IiioI @ THING1 @ CLASS )
            <=> ( instance_THFTYPE_IiioI @ THING2 @ CLASS ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[25]) ).

thf(73,plain,
    ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[26]) ).

thf(74,plain,
    ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[27]) ).

thf(75,plain,
    ( ( ! [TIME: $i,SITUATION: $o] :
          ( ( holdsDuring_THFTYPE_IiooI @ TIME @ ~ SITUATION )
         => ~ ( holdsDuring_THFTYPE_IiooI @ TIME @ SITUATION ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[28]) ).

thf(76,plain,
    ( ( ! [ORGANISM: $i] :
          ( ( instance_THFTYPE_IiioI @ ORGANISM @ lOrganism_THFTYPE_i )
         => ? [PARENT: $i] : ( parent_THFTYPE_IiioI @ ORGANISM @ PARENT ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[29]) ).

thf(77,plain,
    ( ( ! [REL2: $i > $o,ROW: $i,REL1: $i > $o] :
          ( ( ( subrelation_THFTYPE_IIioIIioIoI @ REL1 @ REL2 )
            & ( REL1 @ ROW ) )
         => ( REL2 @ ROW ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[30]) ).

thf(78,plain,
    ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[31]) ).

thf(79,plain,
    ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[32]) ).

thf(80,plain,
    ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
    = $true ),
    inference(unfold_def,[status(thm)],[33]) ).

thf(81,plain,
    ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
    = $true ),
    inference(unfold_def,[status(thm)],[34]) ).

thf(82,plain,
    ( ( ! [CLASS1: $i,CLASS2: $i] :
          ( ( CLASS1 = CLASS2 )
         => ! [THING: $i] :
              ( ( instance_THFTYPE_IiioI @ THING @ CLASS1 )
            <=> ( instance_THFTYPE_IiioI @ THING @ CLASS2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[35]) ).

thf(83,plain,
    ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[36]) ).

thf(84,plain,
    ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[37]) ).

thf(85,plain,
    ( ( ! [X: $i,Y: $i,Z: $i] :
          ( ( ( subclass_THFTYPE_IiioI @ X @ Y )
            & ( instance_THFTYPE_IiioI @ Z @ X ) )
         => ( instance_THFTYPE_IiioI @ Z @ Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[38]) ).

thf(86,plain,
    ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[39]) ).

thf(87,plain,
    ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[40]) ).

thf(88,plain,
    ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
    = $true ),
    inference(unfold_def,[status(thm)],[41]) ).

thf(89,plain,
    ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
    = $true ),
    inference(unfold_def,[status(thm)],[42]) ).

thf(90,plain,
    ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[43]) ).

thf(91,plain,
    ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[44]) ).

thf(92,plain,
    ( ( ~ ? [Q: $i > $i > $o,R: $i > $i > $o,Y: $i] :
            ( ( R @ Y @ lBill_THFTYPE_i )
            & ( Q @ Y @ lAnna_THFTYPE_i )
            & ~ ! [A: $i,B: $i] : ( R @ A @ B )
            & ~ ! [A: $i,B: $i] : ( Q @ A @ B ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[47]) ).

thf(93,plain,
    ( ( ! [Q: $i > $i > $o] :
          ( ! [R: $i > $i > $o] :
              ( ! [Y: $i] :
                  ( ~ ( Q @ Y @ lAnna_THFTYPE_i )
                  | ~ ( R @ Y @ lBill_THFTYPE_i ) )
              | ! [A: $i,B: $i] : ( R @ A @ B ) )
          | ! [A: $i,B: $i] : ( Q @ A @ B ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[92]) ).

thf(94,plain,
    ( ( ! [NUMBER: $i,PRED1: $i,CLASS1: $i] :
          ( ! [PRED2: $i] :
              ( ~ ( domain_THFTYPE_IiiioI @ PRED2 @ NUMBER @ CLASS1 )
              | ~ ( subrelation_THFTYPE_IiioI @ PRED1 @ PRED2 ) )
          | ( domain_THFTYPE_IiiioI @ PRED1 @ NUMBER @ CLASS1 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[61]) ).

thf(95,plain,
    ( ( ! [NUMBER: $i,CLASS1: $i,REL: $i,CLASS2: $i] :
          ( ~ ( domain_THFTYPE_IiiioI @ REL @ NUMBER @ CLASS1 )
          | ~ ( domain_THFTYPE_IiiioI @ REL @ NUMBER @ CLASS2 )
          | ( subclass_THFTYPE_IiioI @ CLASS1 @ CLASS2 )
          | ( subclass_THFTYPE_IiioI @ CLASS2 @ CLASS1 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[63]) ).

thf(96,plain,
    ( ( ! [REL2: $i,CLASS1: $i,REL1: $i] :
          ( ~ ( range_THFTYPE_IiioI @ REL2 @ CLASS1 )
          | ~ ( subrelation_THFTYPE_IiioI @ REL1 @ REL2 )
          | ( range_THFTYPE_IiioI @ REL1 @ CLASS1 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[67]) ).

thf(97,plain,
    ( ( ! [CLASS: $i,CHILD: $i] :
          ( ! [PARENT: $i] :
              ( ~ ( parent_THFTYPE_IiioI @ CHILD @ PARENT )
              | ~ ( subclass_THFTYPE_IiioI @ CLASS @ lOrganism_THFTYPE_i )
              | ~ ( instance_THFTYPE_IiioI @ PARENT @ CLASS ) )
          | ( instance_THFTYPE_IiioI @ CHILD @ CLASS ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[68]) ).

thf(98,plain,
    ( ( ! [CLASS1: $i,REL: $i,CLASS2: $i] :
          ( ~ ( range_THFTYPE_IiioI @ REL @ CLASS1 )
          | ~ ( range_THFTYPE_IiioI @ REL @ CLASS2 )
          | ( subclass_THFTYPE_IiioI @ CLASS1 @ CLASS2 )
          | ( subclass_THFTYPE_IiioI @ CLASS2 @ CLASS1 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[71]) ).

thf(99,plain,
    ( ( ! [THING2: $i,THING1: $i] :
          ( ( THING1 != THING2 )
          | ( ! [CLASS: $i] :
                ( ~ ( instance_THFTYPE_IiioI @ THING1 @ CLASS )
                | ( instance_THFTYPE_IiioI @ THING2 @ CLASS ) )
            & ! [CLASS: $i] :
                ( ~ ( instance_THFTYPE_IiioI @ THING2 @ CLASS )
                | ( instance_THFTYPE_IiioI @ THING1 @ CLASS ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[72]) ).

thf(100,plain,
    ( ( ! [TIME: $i,SITUATION: $o] :
          ( ~ ( holdsDuring_THFTYPE_IiooI @ TIME @ ~ SITUATION )
          | ~ ( holdsDuring_THFTYPE_IiooI @ TIME @ SITUATION ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[75]) ).

thf(101,plain,
    ( ( ! [ORGANISM: $i] :
          ( ~ ( instance_THFTYPE_IiioI @ ORGANISM @ lOrganism_THFTYPE_i )
          | ( parent_THFTYPE_IiioI @ ORGANISM @ ( sK1_PARENT @ ORGANISM ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[76]) ).

thf(102,plain,
    ( ( ! [REL2: $i > $o,ROW: $i] :
          ( ! [REL1: $i > $o] :
              ( ~ ( REL1 @ ROW )
              | ~ ( subrelation_THFTYPE_IIioIIioIoI @ REL1 @ REL2 ) )
          | ( REL2 @ ROW ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[77]) ).

thf(103,plain,
    ( ( ! [CLASS1: $i,CLASS2: $i] :
          ( ( CLASS1 != CLASS2 )
          | ( ! [THING: $i] :
                ( ~ ( instance_THFTYPE_IiioI @ THING @ CLASS1 )
                | ( instance_THFTYPE_IiioI @ THING @ CLASS2 ) )
            & ! [THING: $i] :
                ( ~ ( instance_THFTYPE_IiioI @ THING @ CLASS2 )
                | ( instance_THFTYPE_IiioI @ THING @ CLASS1 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[82]) ).

thf(104,plain,
    ( ( ! [X: $i,Y: $i,Z: $i] :
          ( ~ ( instance_THFTYPE_IiioI @ Z @ X )
          | ~ ( subclass_THFTYPE_IiioI @ X @ Y )
          | ( instance_THFTYPE_IiioI @ Z @ Y ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[85]) ).

thf(105,plain,
    ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[91]) ).

thf(106,plain,
    ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[90]) ).

thf(107,plain,
    ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[89]) ).

thf(108,plain,
    ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[88]) ).

thf(109,plain,
    ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[87]) ).

thf(110,plain,
    ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[86]) ).

thf(111,plain,
    ( ( ! [X: $i,Y: $i,Z: $i] :
          ( ~ ( instance_THFTYPE_IiioI @ Z @ X )
          | ~ ( subclass_THFTYPE_IiioI @ X @ Y )
          | ( instance_THFTYPE_IiioI @ Z @ Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[104]) ).

thf(112,plain,
    ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[84]) ).

thf(113,plain,
    ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[83]) ).

thf(114,plain,
    ( ( ! [CLASS1: $i,CLASS2: $i] :
          ( ( CLASS1 != CLASS2 )
          | ( ! [THING: $i] :
                ( ~ ( instance_THFTYPE_IiioI @ THING @ CLASS1 )
                | ( instance_THFTYPE_IiioI @ THING @ CLASS2 ) )
            & ! [THING: $i] :
                ( ~ ( instance_THFTYPE_IiioI @ THING @ CLASS2 )
                | ( instance_THFTYPE_IiioI @ THING @ CLASS1 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[103]) ).

thf(115,plain,
    ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[81]) ).

thf(116,plain,
    ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[80]) ).

thf(117,plain,
    ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[79]) ).

thf(118,plain,
    ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[78]) ).

thf(119,plain,
    ( ( ! [REL2: $i > $o,ROW: $i] :
          ( ! [REL1: $i > $o] :
              ( ~ ( REL1 @ ROW )
              | ~ ( subrelation_THFTYPE_IIioIIioIoI @ REL1 @ REL2 ) )
          | ( REL2 @ ROW ) ) )
    = $true ),
    inference(copy,[status(thm)],[102]) ).

thf(120,plain,
    ( ( ! [ORGANISM: $i] :
          ( ~ ( instance_THFTYPE_IiioI @ ORGANISM @ lOrganism_THFTYPE_i )
          | ( parent_THFTYPE_IiioI @ ORGANISM @ ( sK1_PARENT @ ORGANISM ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[101]) ).

thf(121,plain,
    ( ( ! [TIME: $i,SITUATION: $o] :
          ( ~ ( holdsDuring_THFTYPE_IiooI @ TIME @ ~ SITUATION )
          | ~ ( holdsDuring_THFTYPE_IiooI @ TIME @ SITUATION ) ) )
    = $true ),
    inference(copy,[status(thm)],[100]) ).

thf(122,plain,
    ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[74]) ).

thf(123,plain,
    ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[73]) ).

thf(124,plain,
    ( ( ! [THING2: $i,THING1: $i] :
          ( ( THING1 != THING2 )
          | ( ! [CLASS: $i] :
                ( ~ ( instance_THFTYPE_IiioI @ THING1 @ CLASS )
                | ( instance_THFTYPE_IiioI @ THING2 @ CLASS ) )
            & ! [CLASS: $i] :
                ( ~ ( instance_THFTYPE_IiioI @ THING2 @ CLASS )
                | ( instance_THFTYPE_IiioI @ THING1 @ CLASS ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[99]) ).

thf(125,plain,
    ( ( ! [CLASS1: $i,REL: $i,CLASS2: $i] :
          ( ~ ( range_THFTYPE_IiioI @ REL @ CLASS1 )
          | ~ ( range_THFTYPE_IiioI @ REL @ CLASS2 )
          | ( subclass_THFTYPE_IiioI @ CLASS1 @ CLASS2 )
          | ( subclass_THFTYPE_IiioI @ CLASS2 @ CLASS1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[98]) ).

thf(126,plain,
    ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[70]) ).

thf(127,plain,
    ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[69]) ).

thf(128,plain,
    ( ( ! [CLASS: $i,CHILD: $i] :
          ( ! [PARENT: $i] :
              ( ~ ( parent_THFTYPE_IiioI @ CHILD @ PARENT )
              | ~ ( subclass_THFTYPE_IiioI @ CLASS @ lOrganism_THFTYPE_i )
              | ~ ( instance_THFTYPE_IiioI @ PARENT @ CLASS ) )
          | ( instance_THFTYPE_IiioI @ CHILD @ CLASS ) ) )
    = $true ),
    inference(copy,[status(thm)],[97]) ).

thf(129,plain,
    ( ( ! [REL2: $i,CLASS1: $i,REL1: $i] :
          ( ~ ( range_THFTYPE_IiioI @ REL2 @ CLASS1 )
          | ~ ( subrelation_THFTYPE_IiioI @ REL1 @ REL2 )
          | ( range_THFTYPE_IiioI @ REL1 @ CLASS1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[96]) ).

thf(130,plain,
    ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[66]) ).

thf(131,plain,
    ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[65]) ).

thf(132,plain,
    ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[64]) ).

thf(133,plain,
    ( ( ! [NUMBER: $i,CLASS1: $i,REL: $i,CLASS2: $i] :
          ( ~ ( domain_THFTYPE_IiiioI @ REL @ NUMBER @ CLASS1 )
          | ~ ( domain_THFTYPE_IiiioI @ REL @ NUMBER @ CLASS2 )
          | ( subclass_THFTYPE_IiioI @ CLASS1 @ CLASS2 )
          | ( subclass_THFTYPE_IiioI @ CLASS2 @ CLASS1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[95]) ).

thf(134,plain,
    ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[62]) ).

thf(135,plain,
    ( ( ! [NUMBER: $i,PRED1: $i,CLASS1: $i] :
          ( ! [PRED2: $i] :
              ( ~ ( domain_THFTYPE_IiiioI @ PRED2 @ NUMBER @ CLASS1 )
              | ~ ( subrelation_THFTYPE_IiioI @ PRED1 @ PRED2 ) )
          | ( domain_THFTYPE_IiiioI @ PRED1 @ NUMBER @ CLASS1 ) ) )
    = $true ),
    inference(copy,[status(thm)],[94]) ).

thf(136,plain,
    ( ( instance_THFTYPE_IIiioIioI @ parent_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[60]) ).

thf(137,plain,
    ( ( instance_THFTYPE_IIiioIioI @ range_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[59]) ).

thf(138,plain,
    ( ( instance_THFTYPE_IIiioIioI @ range_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[58]) ).

thf(139,plain,
    ( ( instance_THFTYPE_IIiioIioI @ parent_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[57]) ).

thf(140,plain,
    ( ( domain_THFTYPE_IIiioIiioI @ parent_THFTYPE_IiioI @ n1_THFTYPE_i @ lOrganism_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[56]) ).

thf(141,plain,
    ( ( instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lAsymmetricRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[55]) ).

thf(142,plain,
    ( ( domain_THFTYPE_IIiioIiioI @ parent_THFTYPE_IiioI @ n2_THFTYPE_i @ lOrganism_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[54]) ).

thf(143,plain,
    ( ( instance_THFTYPE_IIiioIioI @ subrelation_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[53]) ).

thf(144,plain,
    ( ( instance_THFTYPE_IiioI @ equal_THFTYPE_i @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[52]) ).

thf(145,plain,
    ( ( instance_THFTYPE_IIiioIioI @ subclass_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[51]) ).

thf(146,plain,
    ( ( instance_THFTYPE_IiioI @ attribute_THFTYPE_i @ lAsymmetricRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[50]) ).

thf(147,plain,
    ( ( instance_THFTYPE_IIiioIioI @ instance_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[49]) ).

thf(148,plain,
    ( ( instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[48]) ).

thf(149,plain,
    ( ( ! [Q: $i > $i > $o] :
          ( ! [R: $i > $i > $o] :
              ( ! [Y: $i] :
                  ( ~ ( Q @ Y @ lAnna_THFTYPE_i )
                  | ~ ( R @ Y @ lBill_THFTYPE_i ) )
              | ! [A: $i,B: $i] : ( R @ A @ B ) )
          | ! [A: $i,B: $i] : ( Q @ A @ B ) ) )
    = $true ),
    inference(copy,[status(thm)],[93]) ).

thf(150,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( SX0 != SX1 )
          | ~ ( ~ ! [SX2: $i] :
                    ( ~ ( instance_THFTYPE_IiioI @ SX2 @ SX0 )
                    | ( instance_THFTYPE_IiioI @ SX2 @ SX1 ) )
              | ~ ! [SX2: $i] :
                    ( ~ ( instance_THFTYPE_IiioI @ SX2 @ SX1 )
                    | ( instance_THFTYPE_IiioI @ SX2 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[114]) ).

thf(151,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( SX1 != SX0 )
          | ~ ( ~ ! [SX2: $i] :
                    ( ~ ( instance_THFTYPE_IiioI @ SX1 @ SX2 )
                    | ( instance_THFTYPE_IiioI @ SX0 @ SX2 ) )
              | ~ ! [SX2: $i] :
                    ( ~ ( instance_THFTYPE_IiioI @ SX0 @ SX2 )
                    | ( instance_THFTYPE_IiioI @ SX1 @ SX2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[124]) ).

thf(152,plain,
    ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[107]) ).

thf(153,plain,
    ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[108]) ).

thf(154,plain,
    ! [SV1: $i] :
      ( ( ! [SY40: $i,SY41: $i] :
            ( ~ ( instance_THFTYPE_IiioI @ SY41 @ SV1 )
            | ~ ( subclass_THFTYPE_IiioI @ SV1 @ SY40 )
            | ( instance_THFTYPE_IiioI @ SY41 @ SY40 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[111]) ).

thf(155,plain,
    ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[115]) ).

thf(156,plain,
    ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[116]) ).

thf(157,plain,
    ! [SV2: $i > $o] :
      ( ( ! [SY42: $i] :
            ( ! [SY43: $i > $o] :
                ( ~ ( SY43 @ SY42 )
                | ~ ( subrelation_THFTYPE_IIioIIioIoI @ SY43 @ SV2 ) )
            | ( SV2 @ SY42 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[119]) ).

thf(158,plain,
    ! [SV3: $i] :
      ( ( ~ ( instance_THFTYPE_IiioI @ SV3 @ lOrganism_THFTYPE_i )
        | ( parent_THFTYPE_IiioI @ SV3 @ ( sK1_PARENT @ SV3 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[120]) ).

thf(159,plain,
    ! [SV4: $i] :
      ( ( ! [SY44: $o] :
            ( ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ SY44 )
            | ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ SY44 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[121]) ).

thf(160,plain,
    ! [SV5: $i] :
      ( ( ! [SY45: $i,SY46: $i] :
            ( ~ ( range_THFTYPE_IiioI @ SY45 @ SV5 )
            | ~ ( range_THFTYPE_IiioI @ SY45 @ SY46 )
            | ( subclass_THFTYPE_IiioI @ SV5 @ SY46 )
            | ( subclass_THFTYPE_IiioI @ SY46 @ SV5 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[125]) ).

thf(161,plain,
    ! [SV6: $i] :
      ( ( ! [SY47: $i] :
            ( ! [SY48: $i] :
                ( ~ ( parent_THFTYPE_IiioI @ SY47 @ SY48 )
                | ~ ( subclass_THFTYPE_IiioI @ SV6 @ lOrganism_THFTYPE_i )
                | ~ ( instance_THFTYPE_IiioI @ SY48 @ SV6 ) )
            | ( instance_THFTYPE_IiioI @ SY47 @ SV6 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[128]) ).

thf(162,plain,
    ! [SV7: $i] :
      ( ( ! [SY49: $i,SY50: $i] :
            ( ~ ( range_THFTYPE_IiioI @ SV7 @ SY49 )
            | ~ ( subrelation_THFTYPE_IiioI @ SY50 @ SV7 )
            | ( range_THFTYPE_IiioI @ SY50 @ SY49 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[129]) ).

thf(163,plain,
    ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[130]) ).

thf(164,plain,
    ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[131]) ).

thf(165,plain,
    ! [SV8: $i] :
      ( ( ! [SY51: $i,SY52: $i,SY53: $i] :
            ( ~ ( domain_THFTYPE_IiiioI @ SY52 @ SV8 @ SY51 )
            | ~ ( domain_THFTYPE_IiiioI @ SY52 @ SV8 @ SY53 )
            | ( subclass_THFTYPE_IiioI @ SY51 @ SY53 )
            | ( subclass_THFTYPE_IiioI @ SY53 @ SY51 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[133]) ).

thf(166,plain,
    ! [SV9: $i] :
      ( ( ! [SY54: $i,SY55: $i] :
            ( ! [SY56: $i] :
                ( ~ ( domain_THFTYPE_IiiioI @ SY56 @ SV9 @ SY55 )
                | ~ ( subrelation_THFTYPE_IiioI @ SY54 @ SY56 ) )
            | ( domain_THFTYPE_IiiioI @ SY54 @ SV9 @ SY55 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[135]) ).

thf(167,plain,
    ! [SV10: $i > $i > $o] :
      ( ( ! [SY57: $i > $i > $o] :
            ( ! [SY58: $i] :
                ( ~ ( SV10 @ SY58 @ lAnna_THFTYPE_i )
                | ~ ( SY57 @ SY58 @ lBill_THFTYPE_i ) )
            | ! [A: $i,B: $i] : ( SY57 @ A @ B ) )
        | ! [SY61: $i,SY62: $i] : ( SV10 @ SY61 @ SY62 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[149]) ).

thf(168,plain,
    ! [SV11: $i] :
      ( ( ! [SY63: $i] :
            ( ( SV11 != SY63 )
            | ~ ( ~ ! [SY64: $i] :
                      ( ~ ( instance_THFTYPE_IiioI @ SY64 @ SV11 )
                      | ( instance_THFTYPE_IiioI @ SY64 @ SY63 ) )
                | ~ ! [SY65: $i] :
                      ( ~ ( instance_THFTYPE_IiioI @ SY65 @ SY63 )
                      | ( instance_THFTYPE_IiioI @ SY65 @ SV11 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[150]) ).

thf(169,plain,
    ! [SV12: $i] :
      ( ( ! [SY66: $i] :
            ( ( SY66 != SV12 )
            | ~ ( ~ ! [SY67: $i] :
                      ( ~ ( instance_THFTYPE_IiioI @ SY66 @ SY67 )
                      | ( instance_THFTYPE_IiioI @ SV12 @ SY67 ) )
                | ~ ! [SY68: $i] :
                      ( ~ ( instance_THFTYPE_IiioI @ SV12 @ SY68 )
                      | ( instance_THFTYPE_IiioI @ SY66 @ SY68 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[151]) ).

thf(170,plain,
    ! [SV13: $i,SV1: $i] :
      ( ( ! [SY69: $i] :
            ( ~ ( instance_THFTYPE_IiioI @ SY69 @ SV1 )
            | ~ ( subclass_THFTYPE_IiioI @ SV1 @ SV13 )
            | ( instance_THFTYPE_IiioI @ SY69 @ SV13 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[154]) ).

thf(171,plain,
    ! [SV2: $i > $o,SV14: $i] :
      ( ( ! [SY70: $i > $o] :
            ( ~ ( SY70 @ SV14 )
            | ~ ( subrelation_THFTYPE_IIioIIioIoI @ SY70 @ SV2 ) )
        | ( SV2 @ SV14 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[157]) ).

thf(172,plain,
    ! [SV3: $i] :
      ( ( ( ~ ( instance_THFTYPE_IiioI @ SV3 @ lOrganism_THFTYPE_i ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ SV3 @ ( sK1_PARENT @ SV3 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[158]) ).

thf(173,plain,
    ! [SV15: $o,SV4: $i] :
      ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ SV15 )
        | ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ SV15 ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[159]) ).

thf(174,plain,
    ! [SV4: $i] :
      ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ $true )
        | ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ $true ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[159]) ).

thf(175,plain,
    ! [SV4: $i] :
      ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ $false )
        | ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ $false ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[159]) ).

thf(176,plain,
    ! [SV5: $i,SV16: $i] :
      ( ( ! [SY71: $i] :
            ( ~ ( range_THFTYPE_IiioI @ SV16 @ SV5 )
            | ~ ( range_THFTYPE_IiioI @ SV16 @ SY71 )
            | ( subclass_THFTYPE_IiioI @ SV5 @ SY71 )
            | ( subclass_THFTYPE_IiioI @ SY71 @ SV5 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[160]) ).

thf(177,plain,
    ! [SV6: $i,SV17: $i] :
      ( ( ! [SY72: $i] :
            ( ~ ( parent_THFTYPE_IiioI @ SV17 @ SY72 )
            | ~ ( subclass_THFTYPE_IiioI @ SV6 @ lOrganism_THFTYPE_i )
            | ~ ( instance_THFTYPE_IiioI @ SY72 @ SV6 ) )
        | ( instance_THFTYPE_IiioI @ SV17 @ SV6 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[161]) ).

thf(178,plain,
    ! [SV18: $i,SV7: $i] :
      ( ( ! [SY73: $i] :
            ( ~ ( range_THFTYPE_IiioI @ SV7 @ SV18 )
            | ~ ( subrelation_THFTYPE_IiioI @ SY73 @ SV7 )
            | ( range_THFTYPE_IiioI @ SY73 @ SV18 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[162]) ).

thf(179,plain,
    ! [SV19: $i,SV8: $i] :
      ( ( ! [SY74: $i,SY75: $i] :
            ( ~ ( domain_THFTYPE_IiiioI @ SY74 @ SV8 @ SV19 )
            | ~ ( domain_THFTYPE_IiiioI @ SY74 @ SV8 @ SY75 )
            | ( subclass_THFTYPE_IiioI @ SV19 @ SY75 )
            | ( subclass_THFTYPE_IiioI @ SY75 @ SV19 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[165]) ).

thf(180,plain,
    ! [SV20: $i,SV9: $i] :
      ( ( ! [SY76: $i] :
            ( ! [SY77: $i] :
                ( ~ ( domain_THFTYPE_IiiioI @ SY77 @ SV9 @ SY76 )
                | ~ ( subrelation_THFTYPE_IiioI @ SV20 @ SY77 ) )
            | ( domain_THFTYPE_IiiioI @ SV20 @ SV9 @ SY76 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[166]) ).

thf(181,plain,
    ! [SV10: $i > $i > $o] :
      ( ( ( ! [SY57: $i > $i > $o] :
              ( ! [SY58: $i] :
                  ( ~ ( SV10 @ SY58 @ lAnna_THFTYPE_i )
                  | ~ ( SY57 @ SY58 @ lBill_THFTYPE_i ) )
              | ! [A: $i,B: $i] : ( SY57 @ A @ B ) ) )
        = $true )
      | ( ( ! [SY61: $i,SY62: $i] : ( SV10 @ SY61 @ SY62 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[167]) ).

thf(182,plain,
    ! [SV21: $i,SV11: $i] :
      ( ( ( SV11 != SV21 )
        | ~ ( ~ ! [SY78: $i] :
                  ( ~ ( instance_THFTYPE_IiioI @ SY78 @ SV11 )
                  | ( instance_THFTYPE_IiioI @ SY78 @ SV21 ) )
            | ~ ! [SY79: $i] :
                  ( ~ ( instance_THFTYPE_IiioI @ SY79 @ SV21 )
                  | ( instance_THFTYPE_IiioI @ SY79 @ SV11 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[168]) ).

thf(183,plain,
    ! [SV12: $i,SV22: $i] :
      ( ( ( SV22 != SV12 )
        | ~ ( ~ ! [SY80: $i] :
                  ( ~ ( instance_THFTYPE_IiioI @ SV22 @ SY80 )
                  | ( instance_THFTYPE_IiioI @ SV12 @ SY80 ) )
            | ~ ! [SY81: $i] :
                  ( ~ ( instance_THFTYPE_IiioI @ SV12 @ SY81 )
                  | ( instance_THFTYPE_IiioI @ SV22 @ SY81 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[169]) ).

thf(184,plain,
    ! [SV13: $i,SV1: $i,SV23: $i] :
      ( ( ~ ( instance_THFTYPE_IiioI @ SV23 @ SV1 )
        | ~ ( subclass_THFTYPE_IiioI @ SV1 @ SV13 )
        | ( instance_THFTYPE_IiioI @ SV23 @ SV13 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[170]) ).

thf(185,plain,
    ! [SV2: $i > $o,SV14: $i] :
      ( ( ( ! [SY70: $i > $o] :
              ( ~ ( SY70 @ SV14 )
              | ~ ( subrelation_THFTYPE_IIioIIioIoI @ SY70 @ SV2 ) ) )
        = $true )
      | ( ( SV2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[171]) ).

thf(186,plain,
    ! [SV3: $i] :
      ( ( ( instance_THFTYPE_IiioI @ SV3 @ lOrganism_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ SV3 @ ( sK1_PARENT @ SV3 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[172]) ).

thf(187,plain,
    ! [SV15: $o,SV4: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ SV15 ) )
        = $true )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ SV15 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[173]) ).

thf(188,plain,
    ! [SV4: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ $true ) )
        = $true )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ $true ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[174]) ).

thf(189,plain,
    ! [SV4: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ $false ) )
        = $true )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ $false ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[175]) ).

thf(190,plain,
    ! [SV24: $i,SV5: $i,SV16: $i] :
      ( ( ~ ( range_THFTYPE_IiioI @ SV16 @ SV5 )
        | ~ ( range_THFTYPE_IiioI @ SV16 @ SV24 )
        | ( subclass_THFTYPE_IiioI @ SV5 @ SV24 )
        | ( subclass_THFTYPE_IiioI @ SV24 @ SV5 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[176]) ).

thf(191,plain,
    ! [SV6: $i,SV17: $i] :
      ( ( ( ! [SY72: $i] :
              ( ~ ( parent_THFTYPE_IiioI @ SV17 @ SY72 )
              | ~ ( subclass_THFTYPE_IiioI @ SV6 @ lOrganism_THFTYPE_i )
              | ~ ( instance_THFTYPE_IiioI @ SY72 @ SV6 ) ) )
        = $true )
      | ( ( instance_THFTYPE_IiioI @ SV17 @ SV6 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[177]) ).

thf(192,plain,
    ! [SV25: $i,SV18: $i,SV7: $i] :
      ( ( ~ ( range_THFTYPE_IiioI @ SV7 @ SV18 )
        | ~ ( subrelation_THFTYPE_IiioI @ SV25 @ SV7 )
        | ( range_THFTYPE_IiioI @ SV25 @ SV18 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[178]) ).

thf(193,plain,
    ! [SV19: $i,SV8: $i,SV26: $i] :
      ( ( ! [SY82: $i] :
            ( ~ ( domain_THFTYPE_IiiioI @ SV26 @ SV8 @ SV19 )
            | ~ ( domain_THFTYPE_IiiioI @ SV26 @ SV8 @ SY82 )
            | ( subclass_THFTYPE_IiioI @ SV19 @ SY82 )
            | ( subclass_THFTYPE_IiioI @ SY82 @ SV19 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[179]) ).

thf(194,plain,
    ! [SV20: $i,SV27: $i,SV9: $i] :
      ( ( ! [SY83: $i] :
            ( ~ ( domain_THFTYPE_IiiioI @ SY83 @ SV9 @ SV27 )
            | ~ ( subrelation_THFTYPE_IiioI @ SV20 @ SY83 ) )
        | ( domain_THFTYPE_IiiioI @ SV20 @ SV9 @ SV27 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[180]) ).

thf(195,plain,
    ! [SV28: $i > $i > $o,SV10: $i > $i > $o] :
      ( ( ( ! [SY84: $i] :
              ( ~ ( SV10 @ SY84 @ lAnna_THFTYPE_i )
              | ~ ( SV28 @ SY84 @ lBill_THFTYPE_i ) )
          | ! [SY85: $i,SY86: $i] : ( SV28 @ SY85 @ SY86 ) )
        = $true )
      | ( ( ! [SY61: $i,SY62: $i] : ( SV10 @ SY61 @ SY62 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[181]) ).

thf(196,plain,
    ! [SV21: $i,SV11: $i] :
      ( ( ( ( SV11 != SV21 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY78: $i] :
                    ( ~ ( instance_THFTYPE_IiioI @ SY78 @ SV11 )
                    | ( instance_THFTYPE_IiioI @ SY78 @ SV21 ) )
              | ~ ! [SY79: $i] :
                    ( ~ ( instance_THFTYPE_IiioI @ SY79 @ SV21 )
                    | ( instance_THFTYPE_IiioI @ SY79 @ SV11 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[182]) ).

thf(197,plain,
    ! [SV12: $i,SV22: $i] :
      ( ( ( ( SV22 != SV12 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY80: $i] :
                    ( ~ ( instance_THFTYPE_IiioI @ SV22 @ SY80 )
                    | ( instance_THFTYPE_IiioI @ SV12 @ SY80 ) )
              | ~ ! [SY81: $i] :
                    ( ~ ( instance_THFTYPE_IiioI @ SV12 @ SY81 )
                    | ( instance_THFTYPE_IiioI @ SV22 @ SY81 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[183]) ).

thf(198,plain,
    ! [SV13: $i,SV1: $i,SV23: $i] :
      ( ( ( ~ ( instance_THFTYPE_IiioI @ SV23 @ SV1 )
          | ~ ( subclass_THFTYPE_IiioI @ SV1 @ SV13 ) )
        = $true )
      | ( ( instance_THFTYPE_IiioI @ SV23 @ SV13 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[184]) ).

thf(199,plain,
    ! [SV2: $i > $o,SV14: $i,SV29: $i > $o] :
      ( ( ( ~ ( SV29 @ SV14 )
          | ~ ( subrelation_THFTYPE_IIioIIioIoI @ SV29 @ SV2 ) )
        = $true )
      | ( ( SV2 @ SV14 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[185]) ).

thf(200,plain,
    ! [SV15: $o,SV4: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ SV15 )
        = $false )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ SV15 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[187]) ).

thf(201,plain,
    ! [SV4: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ $true )
        = $false )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[188]) ).

thf(202,plain,
    ! [SV4: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ $false )
        = $false )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV4 @ $false ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[189]) ).

thf(203,plain,
    ! [SV24: $i,SV5: $i,SV16: $i] :
      ( ( ( ~ ( range_THFTYPE_IiioI @ SV16 @ SV5 )
          | ~ ( range_THFTYPE_IiioI @ SV16 @ SV24 ) )
        = $true )
      | ( ( ( subclass_THFTYPE_IiioI @ SV5 @ SV24 )
          | ( subclass_THFTYPE_IiioI @ SV24 @ SV5 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[190]) ).

thf(204,plain,
    ! [SV6: $i,SV30: $i,SV17: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV17 @ SV30 )
          | ~ ( subclass_THFTYPE_IiioI @ SV6 @ lOrganism_THFTYPE_i )
          | ~ ( instance_THFTYPE_IiioI @ SV30 @ SV6 ) )
        = $true )
      | ( ( instance_THFTYPE_IiioI @ SV17 @ SV6 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[191]) ).

thf(205,plain,
    ! [SV25: $i,SV18: $i,SV7: $i] :
      ( ( ( ~ ( range_THFTYPE_IiioI @ SV7 @ SV18 )
          | ~ ( subrelation_THFTYPE_IiioI @ SV25 @ SV7 ) )
        = $true )
      | ( ( range_THFTYPE_IiioI @ SV25 @ SV18 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[192]) ).

thf(206,plain,
    ! [SV31: $i,SV19: $i,SV8: $i,SV26: $i] :
      ( ( ~ ( domain_THFTYPE_IiiioI @ SV26 @ SV8 @ SV19 )
        | ~ ( domain_THFTYPE_IiiioI @ SV26 @ SV8 @ SV31 )
        | ( subclass_THFTYPE_IiioI @ SV19 @ SV31 )
        | ( subclass_THFTYPE_IiioI @ SV31 @ SV19 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[193]) ).

thf(207,plain,
    ! [SV20: $i,SV27: $i,SV9: $i] :
      ( ( ( ! [SY83: $i] :
              ( ~ ( domain_THFTYPE_IiiioI @ SY83 @ SV9 @ SV27 )
              | ~ ( subrelation_THFTYPE_IiioI @ SV20 @ SY83 ) ) )
        = $true )
      | ( ( domain_THFTYPE_IiiioI @ SV20 @ SV9 @ SV27 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[194]) ).

thf(208,plain,
    ! [SV28: $i > $i > $o,SV10: $i > $i > $o] :
      ( ( ( ! [SY84: $i] :
              ( ~ ( SV10 @ SY84 @ lAnna_THFTYPE_i )
              | ~ ( SV28 @ SY84 @ lBill_THFTYPE_i ) ) )
        = $true )
      | ( ( ! [SY85: $i,SY86: $i] : ( SV28 @ SY85 @ SY86 ) )
        = $true )
      | ( ( ! [SY61: $i,SY62: $i] : ( SV10 @ SY61 @ SY62 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[195]) ).

thf(209,plain,
    ! [SV21: $i,SV11: $i] :
      ( ( ( SV11 = SV21 )
        = $false )
      | ( ( ~ ( ~ ! [SY78: $i] :
                    ( ~ ( instance_THFTYPE_IiioI @ SY78 @ SV11 )
                    | ( instance_THFTYPE_IiioI @ SY78 @ SV21 ) )
              | ~ ! [SY79: $i] :
                    ( ~ ( instance_THFTYPE_IiioI @ SY79 @ SV21 )
                    | ( instance_THFTYPE_IiioI @ SY79 @ SV11 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[196]) ).

thf(210,plain,
    ! [SV12: $i,SV22: $i] :
      ( ( ( SV22 = SV12 )
        = $false )
      | ( ( ~ ( ~ ! [SY80: $i] :
                    ( ~ ( instance_THFTYPE_IiioI @ SV22 @ SY80 )
                    | ( instance_THFTYPE_IiioI @ SV12 @ SY80 ) )
              | ~ ! [SY81: $i] :
                    ( ~ ( instance_THFTYPE_IiioI @ SV12 @ SY81 )
                    | ( instance_THFTYPE_IiioI @ SV22 @ SY81 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[197]) ).

thf(211,plain,
    ! [SV13: $i,SV1: $i,SV23: $i] :
      ( ( ( ~ ( instance_THFTYPE_IiioI @ SV23 @ SV1 ) )
        = $true )
      | ( ( ~ ( subclass_THFTYPE_IiioI @ SV1 @ SV13 ) )
        = $true )
      | ( ( instance_THFTYPE_IiioI @ SV23 @ SV13 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[198]) ).

thf(212,plain,
    ! [SV2: $i > $o,SV14: $i,SV29: $i > $o] :
      ( ( ( ~ ( SV29 @ SV14 ) )
        = $true )
      | ( ( ~ ( subrelation_THFTYPE_IIioIIioIoI @ SV29 @ SV2 ) )
        = $true )
      | ( ( SV2 @ SV14 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[199]) ).

thf(213,plain,
    ! [SV15: $o,SV4: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ SV15 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ SV15 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[200]) ).

thf(214,plain,
    ! [SV4: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ $true )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[201]) ).

thf(215,plain,
    ! [SV4: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ $false )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ ~ $false )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[202]) ).

thf(216,plain,
    ! [SV24: $i,SV5: $i,SV16: $i] :
      ( ( ( ~ ( range_THFTYPE_IiioI @ SV16 @ SV5 ) )
        = $true )
      | ( ( ~ ( range_THFTYPE_IiioI @ SV16 @ SV24 ) )
        = $true )
      | ( ( ( subclass_THFTYPE_IiioI @ SV5 @ SV24 )
          | ( subclass_THFTYPE_IiioI @ SV24 @ SV5 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[203]) ).

thf(217,plain,
    ! [SV6: $i,SV30: $i,SV17: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV17 @ SV30 )
          | ~ ( subclass_THFTYPE_IiioI @ SV6 @ lOrganism_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( instance_THFTYPE_IiioI @ SV30 @ SV6 ) )
        = $true )
      | ( ( instance_THFTYPE_IiioI @ SV17 @ SV6 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[204]) ).

thf(218,plain,
    ! [SV25: $i,SV18: $i,SV7: $i] :
      ( ( ( ~ ( range_THFTYPE_IiioI @ SV7 @ SV18 ) )
        = $true )
      | ( ( ~ ( subrelation_THFTYPE_IiioI @ SV25 @ SV7 ) )
        = $true )
      | ( ( range_THFTYPE_IiioI @ SV25 @ SV18 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[205]) ).

thf(219,plain,
    ! [SV31: $i,SV19: $i,SV8: $i,SV26: $i] :
      ( ( ( ~ ( domain_THFTYPE_IiiioI @ SV26 @ SV8 @ SV19 )
          | ~ ( domain_THFTYPE_IiiioI @ SV26 @ SV8 @ SV31 ) )
        = $true )
      | ( ( ( subclass_THFTYPE_IiioI @ SV19 @ SV31 )
          | ( subclass_THFTYPE_IiioI @ SV31 @ SV19 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[206]) ).

thf(220,plain,
    ! [SV20: $i,SV27: $i,SV9: $i,SV32: $i] :
      ( ( ( ~ ( domain_THFTYPE_IiiioI @ SV32 @ SV9 @ SV27 )
          | ~ ( subrelation_THFTYPE_IiioI @ SV20 @ SV32 ) )
        = $true )
      | ( ( domain_THFTYPE_IiiioI @ SV20 @ SV9 @ SV27 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[207]) ).

thf(221,plain,
    ! [SV28: $i > $i > $o,SV33: $i,SV10: $i > $i > $o] :
      ( ( ( ~ ( SV10 @ SV33 @ lAnna_THFTYPE_i )
          | ~ ( SV28 @ SV33 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ! [SY85: $i,SY86: $i] : ( SV28 @ SY85 @ SY86 ) )
        = $true )
      | ( ( ! [SY61: $i,SY62: $i] : ( SV10 @ SY61 @ SY62 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[208]) ).

thf(222,plain,
    ! [SV21: $i,SV11: $i] :
      ( ( ( ~ ! [SY78: $i] :
                ( ~ ( instance_THFTYPE_IiioI @ SY78 @ SV11 )
                | ( instance_THFTYPE_IiioI @ SY78 @ SV21 ) )
          | ~ ! [SY79: $i] :
                ( ~ ( instance_THFTYPE_IiioI @ SY79 @ SV21 )
                | ( instance_THFTYPE_IiioI @ SY79 @ SV11 ) ) )
        = $false )
      | ( ( SV11 = SV21 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[209]) ).

thf(223,plain,
    ! [SV12: $i,SV22: $i] :
      ( ( ( ~ ! [SY80: $i] :
                ( ~ ( instance_THFTYPE_IiioI @ SV22 @ SY80 )
                | ( instance_THFTYPE_IiioI @ SV12 @ SY80 ) )
          | ~ ! [SY81: $i] :
                ( ~ ( instance_THFTYPE_IiioI @ SV12 @ SY81 )
                | ( instance_THFTYPE_IiioI @ SV22 @ SY81 ) ) )
        = $false )
      | ( ( SV22 = SV12 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[210]) ).

thf(224,plain,
    ! [SV13: $i,SV1: $i,SV23: $i] :
      ( ( ( instance_THFTYPE_IiioI @ SV23 @ SV1 )
        = $false )
      | ( ( ~ ( subclass_THFTYPE_IiioI @ SV1 @ SV13 ) )
        = $true )
      | ( ( instance_THFTYPE_IiioI @ SV23 @ SV13 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[211]) ).

thf(225,plain,
    ! [SV2: $i > $o,SV14: $i,SV29: $i > $o] :
      ( ( ( SV29 @ SV14 )
        = $false )
      | ( ( ~ ( subrelation_THFTYPE_IIioIIioIoI @ SV29 @ SV2 ) )
        = $true )
      | ( ( SV2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[212]) ).

thf(226,plain,
    ! [SV24: $i,SV5: $i,SV16: $i] :
      ( ( ( range_THFTYPE_IiioI @ SV16 @ SV5 )
        = $false )
      | ( ( ~ ( range_THFTYPE_IiioI @ SV16 @ SV24 ) )
        = $true )
      | ( ( ( subclass_THFTYPE_IiioI @ SV5 @ SV24 )
          | ( subclass_THFTYPE_IiioI @ SV24 @ SV5 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[216]) ).

thf(227,plain,
    ! [SV6: $i,SV30: $i,SV17: $i] :
      ( ( ( ~ ( parent_THFTYPE_IiioI @ SV17 @ SV30 ) )
        = $true )
      | ( ( ~ ( subclass_THFTYPE_IiioI @ SV6 @ lOrganism_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( instance_THFTYPE_IiioI @ SV30 @ SV6 ) )
        = $true )
      | ( ( instance_THFTYPE_IiioI @ SV17 @ SV6 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[217]) ).

thf(228,plain,
    ! [SV25: $i,SV18: $i,SV7: $i] :
      ( ( ( range_THFTYPE_IiioI @ SV7 @ SV18 )
        = $false )
      | ( ( ~ ( subrelation_THFTYPE_IiioI @ SV25 @ SV7 ) )
        = $true )
      | ( ( range_THFTYPE_IiioI @ SV25 @ SV18 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[218]) ).

thf(229,plain,
    ! [SV31: $i,SV19: $i,SV8: $i,SV26: $i] :
      ( ( ( ~ ( domain_THFTYPE_IiiioI @ SV26 @ SV8 @ SV19 ) )
        = $true )
      | ( ( ~ ( domain_THFTYPE_IiiioI @ SV26 @ SV8 @ SV31 ) )
        = $true )
      | ( ( ( subclass_THFTYPE_IiioI @ SV19 @ SV31 )
          | ( subclass_THFTYPE_IiioI @ SV31 @ SV19 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[219]) ).

thf(230,plain,
    ! [SV20: $i,SV27: $i,SV9: $i,SV32: $i] :
      ( ( ( ~ ( domain_THFTYPE_IiiioI @ SV32 @ SV9 @ SV27 ) )
        = $true )
      | ( ( ~ ( subrelation_THFTYPE_IiioI @ SV20 @ SV32 ) )
        = $true )
      | ( ( domain_THFTYPE_IiiioI @ SV20 @ SV9 @ SV27 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[220]) ).

thf(231,plain,
    ! [SV28: $i > $i > $o,SV33: $i,SV10: $i > $i > $o] :
      ( ( ( ~ ( SV10 @ SV33 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV28 @ SV33 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ! [SY85: $i,SY86: $i] : ( SV28 @ SY85 @ SY86 ) )
        = $true )
      | ( ( ! [SY61: $i,SY62: $i] : ( SV10 @ SY61 @ SY62 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[221]) ).

thf(232,plain,
    ! [SV21: $i,SV11: $i] :
      ( ( ( ~ ! [SY78: $i] :
                ( ~ ( instance_THFTYPE_IiioI @ SY78 @ SV11 )
                | ( instance_THFTYPE_IiioI @ SY78 @ SV21 ) ) )
        = $false )
      | ( ( SV11 = SV21 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[222]) ).

thf(233,plain,
    ! [SV11: $i,SV21: $i] :
      ( ( ( ~ ! [SY79: $i] :
                ( ~ ( instance_THFTYPE_IiioI @ SY79 @ SV21 )
                | ( instance_THFTYPE_IiioI @ SY79 @ SV11 ) ) )
        = $false )
      | ( ( SV11 = SV21 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[222]) ).

thf(234,plain,
    ! [SV12: $i,SV22: $i] :
      ( ( ( ~ ! [SY80: $i] :
                ( ~ ( instance_THFTYPE_IiioI @ SV22 @ SY80 )
                | ( instance_THFTYPE_IiioI @ SV12 @ SY80 ) ) )
        = $false )
      | ( ( SV22 = SV12 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[223]) ).

thf(235,plain,
    ! [SV22: $i,SV12: $i] :
      ( ( ( ~ ! [SY81: $i] :
                ( ~ ( instance_THFTYPE_IiioI @ SV12 @ SY81 )
                | ( instance_THFTYPE_IiioI @ SV22 @ SY81 ) ) )
        = $false )
      | ( ( SV22 = SV12 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[223]) ).

thf(236,plain,
    ! [SV23: $i,SV13: $i,SV1: $i] :
      ( ( ( subclass_THFTYPE_IiioI @ SV1 @ SV13 )
        = $false )
      | ( ( instance_THFTYPE_IiioI @ SV23 @ SV1 )
        = $false )
      | ( ( instance_THFTYPE_IiioI @ SV23 @ SV13 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[224]) ).

thf(237,plain,
    ! [SV14: $i,SV2: $i > $o,SV29: $i > $o] :
      ( ( ( subrelation_THFTYPE_IIioIIioIoI @ SV29 @ SV2 )
        = $false )
      | ( ( SV29 @ SV14 )
        = $false )
      | ( ( SV2 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[225]) ).

thf(238,plain,
    ! [SV5: $i,SV24: $i,SV16: $i] :
      ( ( ( range_THFTYPE_IiioI @ SV16 @ SV24 )
        = $false )
      | ( ( range_THFTYPE_IiioI @ SV16 @ SV5 )
        = $false )
      | ( ( ( subclass_THFTYPE_IiioI @ SV5 @ SV24 )
          | ( subclass_THFTYPE_IiioI @ SV24 @ SV5 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[226]) ).

thf(239,plain,
    ! [SV6: $i,SV30: $i,SV17: $i] :
      ( ( ( parent_THFTYPE_IiioI @ SV17 @ SV30 )
        = $false )
      | ( ( ~ ( subclass_THFTYPE_IiioI @ SV6 @ lOrganism_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( instance_THFTYPE_IiioI @ SV30 @ SV6 ) )
        = $true )
      | ( ( instance_THFTYPE_IiioI @ SV17 @ SV6 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[227]) ).

thf(240,plain,
    ! [SV18: $i,SV7: $i,SV25: $i] :
      ( ( ( subrelation_THFTYPE_IiioI @ SV25 @ SV7 )
        = $false )
      | ( ( range_THFTYPE_IiioI @ SV7 @ SV18 )
        = $false )
      | ( ( range_THFTYPE_IiioI @ SV25 @ SV18 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[228]) ).

thf(241,plain,
    ! [SV31: $i,SV19: $i,SV8: $i,SV26: $i] :
      ( ( ( domain_THFTYPE_IiiioI @ SV26 @ SV8 @ SV19 )
        = $false )
      | ( ( ~ ( domain_THFTYPE_IiiioI @ SV26 @ SV8 @ SV31 ) )
        = $true )
      | ( ( ( subclass_THFTYPE_IiioI @ SV19 @ SV31 )
          | ( subclass_THFTYPE_IiioI @ SV31 @ SV19 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[229]) ).

thf(242,plain,
    ! [SV20: $i,SV27: $i,SV9: $i,SV32: $i] :
      ( ( ( domain_THFTYPE_IiiioI @ SV32 @ SV9 @ SV27 )
        = $false )
      | ( ( ~ ( subrelation_THFTYPE_IiioI @ SV20 @ SV32 ) )
        = $true )
      | ( ( domain_THFTYPE_IiiioI @ SV20 @ SV9 @ SV27 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[230]) ).

thf(243,plain,
    ! [SV28: $i > $i > $o,SV33: $i,SV10: $i > $i > $o] :
      ( ( ( SV10 @ SV33 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV28 @ SV33 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ! [SY85: $i,SY86: $i] : ( SV28 @ SY85 @ SY86 ) )
        = $true )
      | ( ( ! [SY61: $i,SY62: $i] : ( SV10 @ SY61 @ SY62 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[231]) ).

thf(244,plain,
    ! [SV21: $i,SV11: $i] :
      ( ( ( ! [SY78: $i] :
              ( ~ ( instance_THFTYPE_IiioI @ SY78 @ SV11 )
              | ( instance_THFTYPE_IiioI @ SY78 @ SV21 ) ) )
        = $true )
      | ( ( SV11 = SV21 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[232]) ).

thf(245,plain,
    ! [SV11: $i,SV21: $i] :
      ( ( ( ! [SY79: $i] :
              ( ~ ( instance_THFTYPE_IiioI @ SY79 @ SV21 )
              | ( instance_THFTYPE_IiioI @ SY79 @ SV11 ) ) )
        = $true )
      | ( ( SV11 = SV21 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[233]) ).

thf(246,plain,
    ! [SV12: $i,SV22: $i] :
      ( ( ( ! [SY80: $i] :
              ( ~ ( instance_THFTYPE_IiioI @ SV22 @ SY80 )
              | ( instance_THFTYPE_IiioI @ SV12 @ SY80 ) ) )
        = $true )
      | ( ( SV22 = SV12 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[234]) ).

thf(247,plain,
    ! [SV22: $i,SV12: $i] :
      ( ( ( ! [SY81: $i] :
              ( ~ ( instance_THFTYPE_IiioI @ SV12 @ SY81 )
              | ( instance_THFTYPE_IiioI @ SV22 @ SY81 ) ) )
        = $true )
      | ( ( SV22 = SV12 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[235]) ).

thf(248,plain,
    ! [SV16: $i,SV24: $i,SV5: $i] :
      ( ( ( subclass_THFTYPE_IiioI @ SV5 @ SV24 )
        = $true )
      | ( ( subclass_THFTYPE_IiioI @ SV24 @ SV5 )
        = $true )
      | ( ( range_THFTYPE_IiioI @ SV16 @ SV5 )
        = $false )
      | ( ( range_THFTYPE_IiioI @ SV16 @ SV24 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[238]) ).

thf(249,plain,
    ! [SV30: $i,SV17: $i,SV6: $i] :
      ( ( ( subclass_THFTYPE_IiioI @ SV6 @ lOrganism_THFTYPE_i )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ SV17 @ SV30 )
        = $false )
      | ( ( ~ ( instance_THFTYPE_IiioI @ SV30 @ SV6 ) )
        = $true )
      | ( ( instance_THFTYPE_IiioI @ SV17 @ SV6 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[239]) ).

thf(250,plain,
    ! [SV19: $i,SV31: $i,SV8: $i,SV26: $i] :
      ( ( ( domain_THFTYPE_IiiioI @ SV26 @ SV8 @ SV31 )
        = $false )
      | ( ( domain_THFTYPE_IiiioI @ SV26 @ SV8 @ SV19 )
        = $false )
      | ( ( ( subclass_THFTYPE_IiioI @ SV19 @ SV31 )
          | ( subclass_THFTYPE_IiioI @ SV31 @ SV19 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[241]) ).

thf(251,plain,
    ! [SV27: $i,SV9: $i,SV32: $i,SV20: $i] :
      ( ( ( subrelation_THFTYPE_IiioI @ SV20 @ SV32 )
        = $false )
      | ( ( domain_THFTYPE_IiiioI @ SV32 @ SV9 @ SV27 )
        = $false )
      | ( ( domain_THFTYPE_IiiioI @ SV20 @ SV9 @ SV27 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[242]) ).

thf(252,plain,
    ! [SV10: $i > $i > $o,SV33: $i,SV28: $i > $i > $o] :
      ( ( ( SV28 @ SV33 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV10 @ SV33 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ! [SY85: $i,SY86: $i] : ( SV28 @ SY85 @ SY86 ) )
        = $true )
      | ( ( ! [SY61: $i,SY62: $i] : ( SV10 @ SY61 @ SY62 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[243]) ).

thf(253,plain,
    ! [SV21: $i,SV11: $i,SV34: $i] :
      ( ( ( ~ ( instance_THFTYPE_IiioI @ SV34 @ SV11 )
          | ( instance_THFTYPE_IiioI @ SV34 @ SV21 ) )
        = $true )
      | ( ( SV11 = SV21 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[244]) ).

thf(254,plain,
    ! [SV11: $i,SV21: $i,SV35: $i] :
      ( ( ( ~ ( instance_THFTYPE_IiioI @ SV35 @ SV21 )
          | ( instance_THFTYPE_IiioI @ SV35 @ SV11 ) )
        = $true )
      | ( ( SV11 = SV21 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[245]) ).

thf(255,plain,
    ! [SV12: $i,SV36: $i,SV22: $i] :
      ( ( ( ~ ( instance_THFTYPE_IiioI @ SV22 @ SV36 )
          | ( instance_THFTYPE_IiioI @ SV12 @ SV36 ) )
        = $true )
      | ( ( SV22 = SV12 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[246]) ).

thf(256,plain,
    ! [SV22: $i,SV37: $i,SV12: $i] :
      ( ( ( ~ ( instance_THFTYPE_IiioI @ SV12 @ SV37 )
          | ( instance_THFTYPE_IiioI @ SV22 @ SV37 ) )
        = $true )
      | ( ( SV22 = SV12 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[247]) ).

thf(257,plain,
    ! [SV17: $i,SV6: $i,SV30: $i] :
      ( ( ( instance_THFTYPE_IiioI @ SV30 @ SV6 )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ SV17 @ SV30 )
        = $false )
      | ( ( subclass_THFTYPE_IiioI @ SV6 @ lOrganism_THFTYPE_i )
        = $false )
      | ( ( instance_THFTYPE_IiioI @ SV17 @ SV6 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[249]) ).

thf(258,plain,
    ! [SV8: $i,SV26: $i,SV31: $i,SV19: $i] :
      ( ( ( subclass_THFTYPE_IiioI @ SV19 @ SV31 )
        = $true )
      | ( ( subclass_THFTYPE_IiioI @ SV31 @ SV19 )
        = $true )
      | ( ( domain_THFTYPE_IiiioI @ SV26 @ SV8 @ SV19 )
        = $false )
      | ( ( domain_THFTYPE_IiiioI @ SV26 @ SV8 @ SV31 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[250]) ).

thf(259,plain,
    ! [SV33: $i,SV10: $i > $i > $o,SV38: $i,SV28: $i > $i > $o] :
      ( ( ( ! [SY87: $i] : ( SV28 @ SV38 @ SY87 ) )
        = $true )
      | ( ( SV10 @ SV33 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV28 @ SV33 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ! [SY61: $i,SY62: $i] : ( SV10 @ SY61 @ SY62 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[252]) ).

thf(260,plain,
    ! [SV21: $i,SV11: $i,SV34: $i] :
      ( ( ( ~ ( instance_THFTYPE_IiioI @ SV34 @ SV11 ) )
        = $true )
      | ( ( instance_THFTYPE_IiioI @ SV34 @ SV21 )
        = $true )
      | ( ( SV11 = SV21 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[253]) ).

thf(261,plain,
    ! [SV11: $i,SV21: $i,SV35: $i] :
      ( ( ( ~ ( instance_THFTYPE_IiioI @ SV35 @ SV21 ) )
        = $true )
      | ( ( instance_THFTYPE_IiioI @ SV35 @ SV11 )
        = $true )
      | ( ( SV11 = SV21 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[254]) ).

thf(262,plain,
    ! [SV12: $i,SV36: $i,SV22: $i] :
      ( ( ( ~ ( instance_THFTYPE_IiioI @ SV22 @ SV36 ) )
        = $true )
      | ( ( instance_THFTYPE_IiioI @ SV12 @ SV36 )
        = $true )
      | ( ( SV22 = SV12 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[255]) ).

thf(263,plain,
    ! [SV22: $i,SV37: $i,SV12: $i] :
      ( ( ( ~ ( instance_THFTYPE_IiioI @ SV12 @ SV37 ) )
        = $true )
      | ( ( instance_THFTYPE_IiioI @ SV22 @ SV37 )
        = $true )
      | ( ( SV22 = SV12 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[256]) ).

thf(264,plain,
    ! [SV33: $i,SV10: $i > $i > $o,SV39: $i,SV38: $i,SV28: $i > $i > $o] :
      ( ( ( SV28 @ SV38 @ SV39 )
        = $true )
      | ( ( SV10 @ SV33 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV28 @ SV33 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ! [SY61: $i,SY62: $i] : ( SV10 @ SY61 @ SY62 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[259]) ).

thf(265,plain,
    ! [SV21: $i,SV11: $i,SV34: $i] :
      ( ( ( instance_THFTYPE_IiioI @ SV34 @ SV11 )
        = $false )
      | ( ( instance_THFTYPE_IiioI @ SV34 @ SV21 )
        = $true )
      | ( ( SV11 = SV21 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[260]) ).

thf(266,plain,
    ! [SV11: $i,SV21: $i,SV35: $i] :
      ( ( ( instance_THFTYPE_IiioI @ SV35 @ SV21 )
        = $false )
      | ( ( instance_THFTYPE_IiioI @ SV35 @ SV11 )
        = $true )
      | ( ( SV11 = SV21 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[261]) ).

thf(267,plain,
    ! [SV12: $i,SV36: $i,SV22: $i] :
      ( ( ( instance_THFTYPE_IiioI @ SV22 @ SV36 )
        = $false )
      | ( ( instance_THFTYPE_IiioI @ SV12 @ SV36 )
        = $true )
      | ( ( SV22 = SV12 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[262]) ).

thf(268,plain,
    ! [SV22: $i,SV37: $i,SV12: $i] :
      ( ( ( instance_THFTYPE_IiioI @ SV12 @ SV37 )
        = $false )
      | ( ( instance_THFTYPE_IiioI @ SV22 @ SV37 )
        = $true )
      | ( ( SV22 = SV12 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[263]) ).

thf(269,plain,
    ! [SV39: $i,SV38: $i,SV33: $i,SV28: $i > $i > $o,SV40: $i,SV10: $i > $i > $o] :
      ( ( ( ! [SY88: $i] : ( SV10 @ SV40 @ SY88 ) )
        = $true )
      | ( ( SV28 @ SV33 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV10 @ SV33 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV28 @ SV38 @ SV39 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[264]) ).

thf(270,plain,
    ! [SV39: $i,SV38: $i,SV33: $i,SV28: $i > $i > $o,SV41: $i,SV40: $i,SV10: $i > $i > $o] :
      ( ( ( SV10 @ SV40 @ SV41 )
        = $true )
      | ( ( SV28 @ SV33 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV10 @ SV33 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV28 @ SV38 @ SV39 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[269]) ).

thf(271,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[105,270,268,267,266,265,258,257,251,248,240,237,236,215,214,213,186,164,163,156,155,153,152,148,147,146,145,144,143,142,141,140,139,138,137,136,134,132,127,126,123,122,118,117,113,112,110,109,106]) ).

thf(272,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[271]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : CSR137^2 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33  % Computer : n029.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jun 11 16:55:08 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  
% 0.12/0.35   No.of.Axioms: 44
% 0.12/0.35  
% 0.12/0.35   Length.of.Defs: 0
% 0.12/0.35  
% 0.12/0.35   Contains.Choice.Funs: false
% 0.12/0.37  .
% 0.12/0.37  (rf:0,axioms:44,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:46,loop_count:0,foatp_calls:0,translation:fof_full)...........
% 0.19/0.48  
% 0.19/0.48  ********************************
% 0.19/0.48  *   All subproblems solved!    *
% 0.19/0.48  ********************************
% 0.19/0.48  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:44,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:271,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.51  
% 0.19/0.51  %**** Beginning of derivation protocol ****
% 0.19/0.51  % SZS output start CNFRefutation
% See solution above
% 0.19/0.51  
% 0.19/0.51  %**** End of derivation protocol ****
% 0.19/0.51  %**** no. of clauses in derivation: 272 ****
% 0.19/0.51  %**** clause counter: 271 ****
% 0.19/0.51  
% 0.19/0.51  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:44,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:271,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------