↑ Up

LEO-II---2.3.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : LEO-II---2.3.1
% Problem  : CSR131^2 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Oct  7 10:16:07 AM UTC 2026

% Result   : Theorem 4.18s 0.94s
% Output   : CNFRefutation 4.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   39
%            Number of leaves      :   18
% Syntax   : Number of formulae    :  885 ( 114 unt;   0 typ;   0 def)
%            Number of atoms       : 5979 (2297 equ;   0 cnn)
%            Maximal formula atoms :    5 (   6 avg)
%            Number of connectives : 10680 (2704   ~;1863   |;  18   &;6089   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  : 1888 (1888   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  102 (  99 usr;  26 con; 0-3 aty)
%            Number of variables   : 3046 (   0   ^;3031   !;  15   ?;3046   :)

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

thf(tp_agent_THFTYPE_i,type,
    agent_THFTYPE_i: $i ).

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

thf(tp_domain_THFTYPE_IIiiIiioI,type,
    domain_THFTYPE_IIiiIiioI: ( $i > $i ) > $i > $i > $o ).

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_IIiiIioI,type,
    instance_THFTYPE_IIiiIioI: ( $i > $i ) > $i > $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_lBeginFn_THFTYPE_IiiI,type,
    lBeginFn_THFTYPE_IiiI: $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_lEndFn_THFTYPE_IiiI,type,
    lEndFn_THFTYPE_IiiI: $i > $i ).

thf(tp_lInteger_THFTYPE_i,type,
    lInteger_THFTYPE_i: $i ).

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

thf(tp_lMeasureFn_THFTYPE_i,type,
    lMeasureFn_THFTYPE_i: $i ).

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

thf(tp_lProcess_THFTYPE_i,type,
    lProcess_THFTYPE_i: $i ).

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

thf(tp_lTemporalRelation_THFTYPE_i,type,
    lTemporalRelation_THFTYPE_i: $i ).

thf(tp_lTimeInterval_THFTYPE_i,type,
    lTimeInterval_THFTYPE_i: $i ).

thf(tp_lTotalValuedRelation_THFTYPE_i,type,
    lTotalValuedRelation_THFTYPE_i: $i ).

thf(tp_lUnaryFunction_THFTYPE_i,type,
    lUnaryFunction_THFTYPE_i: $i ).

thf(tp_lWhenFn_THFTYPE_IiiI,type,
    lWhenFn_THFTYPE_IiiI: $i > $i ).

thf(tp_lWhenFn_THFTYPE_i,type,
    lWhenFn_THFTYPE_i: $i ).

thf(tp_lYearFn_THFTYPE_IiiI,type,
    lYearFn_THFTYPE_IiiI: $i > $i ).

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

thf(tp_located_THFTYPE_IiioI,type,
    located_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_meetsTemporally_THFTYPE_IiioI,type,
    meetsTemporally_THFTYPE_IiioI: $i > $i > $o ).

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

thf(tp_n2009_THFTYPE_i,type,
    n2009_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_part_THFTYPE_IiioI,type,
    part_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_patient_THFTYPE_i,type,
    patient_THFTYPE_i: $i ).

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

thf(tp_sK10_SY33,type,
    sK10_SY33: ( $i > $i > $o ) > $i ).

thf(tp_sK11_SX0,type,
    sK11_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK12_SX0,type,
    sK12_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK13_SY34,type,
    sK13_SY34: ( $i > $i > $o ) > $i ).

thf(tp_sK14_SX0,type,
    sK14_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK15_SY35,type,
    sK15_SY35: ( $i > $i > $o ) > $i ).

thf(tp_sK16_SX0,type,
    sK16_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK17_SY36,type,
    sK17_SY36: ( $i > $i > $o ) > $i ).

thf(tp_sK18_SY37,type,
    sK18_SY37: ( $i > $i > $o ) > $i ).

thf(tp_sK19_SY38,type,
    sK19_SY38: ( $i > $i > $o ) > $i ).

thf(tp_sK1_SX0,type,
    sK1_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK20_SY39,type,
    sK20_SY39: ( $i > $i > $o ) > $i ).

thf(tp_sK21_SY40,type,
    sK21_SY40: ( $i > $i > $o ) > $i ).

thf(tp_sK22_SY41,type,
    sK22_SY41: ( $i > $i > $o ) > $i ).

thf(tp_sK23_SY42,type,
    sK23_SY42: ( $i > $i > $o ) > $i ).

thf(tp_sK24_SY43,type,
    sK24_SY43: ( $i > $i > $o ) > $i ).

thf(tp_sK25_SY44,type,
    sK25_SY44: ( $i > $i > $o ) > $i ).

thf(tp_sK26_SY45,type,
    sK26_SY45: ( $i > $i > $o ) > $i ).

thf(tp_sK27_SX0,type,
    sK27_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK28_SX0,type,
    sK28_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK29_SX0,type,
    sK29_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK2_SX0,type,
    sK2_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK30_SX0,type,
    sK30_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK31_SX0,type,
    sK31_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK32_SX0,type,
    sK32_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK33_SX0,type,
    sK33_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK34_SX0,type,
    sK34_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK35_SX0,type,
    sK35_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK36_SY46,type,
    sK36_SY46: ( $i > $i > $o ) > $i ).

thf(tp_sK37_SX0,type,
    sK37_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK38_SX0,type,
    sK38_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK39_SY47,type,
    sK39_SY47: ( $i > $i > $o ) > $i ).

thf(tp_sK3_SX0,type,
    sK3_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK40_SX0,type,
    sK40_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK41_SY48,type,
    sK41_SY48: ( $i > $i > $o ) > $i ).

thf(tp_sK42_SX0,type,
    sK42_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK43_SY49,type,
    sK43_SY49: ( $i > $i > $o ) > $i ).

thf(tp_sK44_SY50,type,
    sK44_SY50: ( $i > $i > $o ) > $i ).

thf(tp_sK45_SY51,type,
    sK45_SY51: ( $i > $i > $o ) > $i ).

thf(tp_sK46_SY52,type,
    sK46_SY52: ( $i > $i > $o ) > $i ).

thf(tp_sK47_SY53,type,
    sK47_SY53: ( $i > $i > $o ) > $i ).

thf(tp_sK48_SY54,type,
    sK48_SY54: ( $i > $i > $o ) > $i ).

thf(tp_sK49_SY55,type,
    sK49_SY55: ( $i > $i > $o ) > $i ).

thf(tp_sK4_SX0,type,
    sK4_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK50_SY56,type,
    sK50_SY56: ( $i > $i > $o ) > $i ).

thf(tp_sK51_SY57,type,
    sK51_SY57: ( $i > $i > $o ) > $i ).

thf(tp_sK52_SY58,type,
    sK52_SY58: ( $i > $i > $o ) > $i ).

thf(tp_sK5_SX0,type,
    sK5_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK6_SX0,type,
    sK6_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK7_SX0,type,
    sK7_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK8_SX0,type,
    sK8_SX0: ( $i > $i > $o ) > $i ).

thf(tp_sK9_SX0,type,
    sK9_SX0: ( $i > $i > $o ) > $i ).

thf(tp_subProcess_THFTYPE_IiioI,type,
    subProcess_THFTYPE_IiioI: $i > $i > $o ).

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(tp_temporalPart_THFTYPE_IiioI,type,
    temporalPart_THFTYPE_IiioI: $i > $i > $o ).

thf(2,axiom,
    instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_077) ).

thf(9,axiom,
    instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lAsymmetricRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_070) ).

thf(13,axiom,
    instance_THFTYPE_IIiiIioI @ lYearFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_066) ).

thf(19,axiom,
    instance_THFTYPE_IIiiIioI @ lYearFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_060) ).

thf(37,axiom,
    domain_THFTYPE_IIiiIiioI @ lYearFn_THFTYPE_IiiI @ n1_THFTYPE_i @ lInteger_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_042) ).

thf(42,axiom,
    ! [SITUATION: $o,TIME2: $i,TIME1: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ TIME1 @ SITUATION )
        & ( temporalPart_THFTYPE_IiioI @ TIME2 @ TIME1 ) )
     => ( holdsDuring_THFTYPE_IiooI @ TIME2 @ SITUATION ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_037) ).

thf(45,axiom,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_034) ).

thf(48,axiom,
    ! [TIME: $i,SITUATION: $o] :
      ( ( holdsDuring_THFTYPE_IiooI @ TIME @ ~ SITUATION )
     => ~ ( holdsDuring_THFTYPE_IiooI @ TIME @ SITUATION ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_031) ).

thf(51,axiom,
    ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
    @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_028) ).

thf(53,axiom,
    ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
    @ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_026) ).

thf(57,axiom,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_022) ).

thf(60,axiom,
    ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
    @ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_019) ).

thf(65,axiom,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_014) ).

thf(70,axiom,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_009) ).

thf(74,axiom,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_005) ).

thf(76,axiom,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_003) ).

thf(79,axiom,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax) ).

thf(80,conjecture,
    ? [Q: $i > $i > $o,R: $i > $i > $o,Y: $i] :
      ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_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/sandbox2/benchmark/theBenchmark.p',con) ).

thf(81,negated_conjecture,
    ( ( ? [Q: $i > $i > $o,R: $i > $i > $o,Y: $i] :
          ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_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)],[80]) ).

thf(82,plain,
    ( ( ? [Q: $i > $i > $o,R: $i > $i > $o,Y: $i] :
          ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_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)],[81]) ).

thf(83,plain,
    ( ( instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(84,plain,
    ( ( instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lAsymmetricRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[9]) ).

thf(85,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lYearFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[13]) ).

thf(86,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lYearFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[19]) ).

thf(87,plain,
    ( ( domain_THFTYPE_IIiiIiioI @ lYearFn_THFTYPE_IiiI @ n1_THFTYPE_i @ lInteger_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[37]) ).

thf(88,plain,
    ( ( ! [SITUATION: $o,TIME2: $i,TIME1: $i] :
          ( ( ( holdsDuring_THFTYPE_IiooI @ TIME1 @ SITUATION )
            & ( temporalPart_THFTYPE_IiioI @ TIME2 @ TIME1 ) )
         => ( holdsDuring_THFTYPE_IiooI @ TIME2 @ SITUATION ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[42]) ).

thf(90,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
    = $true ),
    inference(unfold_def,[status(thm)],[45]) ).

thf(91,plain,
    ( ( ! [TIME: $i,SITUATION: $o] :
          ( ( holdsDuring_THFTYPE_IiooI @ TIME @ ~ SITUATION )
         => ~ ( holdsDuring_THFTYPE_IiooI @ TIME @ SITUATION ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[48]) ).

thf(93,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
    = $true ),
    inference(unfold_def,[status(thm)],[51]) ).

thf(95,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
    = $true ),
    inference(unfold_def,[status(thm)],[53]) ).

thf(97,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
    = $true ),
    inference(unfold_def,[status(thm)],[57]) ).

thf(99,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
    = $true ),
    inference(unfold_def,[status(thm)],[60]) ).

thf(101,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
    = $true ),
    inference(unfold_def,[status(thm)],[65]) ).

thf(103,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
    = $true ),
    inference(unfold_def,[status(thm)],[70]) ).

thf(105,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
    = $true ),
    inference(unfold_def,[status(thm)],[74]) ).

thf(107,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
    = $true ),
    inference(unfold_def,[status(thm)],[76]) ).

thf(109,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
    = $true ),
    inference(unfold_def,[status(thm)],[79]) ).

thf(110,plain,
    ( ( ~ ? [Q: $i > $i > $o,R: $i > $i > $o,Y: $i] :
            ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_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)],[82]) ).

thf(111,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[109]) ).

thf(113,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[107]) ).

thf(115,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[105]) ).

thf(117,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[103]) ).

thf(119,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[101]) ).

thf(121,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[99]) ).

thf(123,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[97]) ).

thf(125,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[95]) ).

thf(127,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[93]) ).

thf(129,plain,
    ( ( ! [TIME: $i,SITUATION: $o] :
          ( ( holdsDuring_THFTYPE_IiooI @ TIME @ ~ SITUATION )
         => ~ ( holdsDuring_THFTYPE_IiooI @ TIME @ SITUATION ) ) )
    = $true ),
    inference(copy,[status(thm)],[91]) ).

thf(130,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[90]) ).

thf(132,plain,
    ( ( ! [SITUATION: $o,TIME2: $i,TIME1: $i] :
          ( ( ( holdsDuring_THFTYPE_IiooI @ TIME1 @ SITUATION )
            & ( temporalPart_THFTYPE_IiioI @ TIME2 @ TIME1 ) )
         => ( holdsDuring_THFTYPE_IiooI @ TIME2 @ SITUATION ) ) )
    = $true ),
    inference(copy,[status(thm)],[88]) ).

thf(133,plain,
    ( ( domain_THFTYPE_IIiiIiioI @ lYearFn_THFTYPE_IiiI @ n1_THFTYPE_i @ lInteger_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[87]) ).

thf(134,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lYearFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[86]) ).

thf(135,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lYearFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[85]) ).

thf(136,plain,
    ( ( instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lAsymmetricRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[84]) ).

thf(137,plain,
    ( ( instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[83]) ).

thf(138,plain,
    ( ( ~ ? [Q: $i > $i > $o,R: $i > $i > $o,Y: $i] :
            ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_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(copy,[status(thm)],[110]) ).

thf(139,plain,
    ( ( ~ ~ ! [SX0: $i > $i > $o] :
              ~ ~ ! [SX1: $i > $i > $o] :
                    ~ ~ ! [SX2: $i] :
                          ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
                            @ ~ ( ~ ~ ( ~ ~ ( ~ ( SX1 @ SX2 @ lBill_THFTYPE_i )
                                            | ~ ( SX0 @ SX2 @ lAnna_THFTYPE_i ) )
                                      | ~ ~ ! [SX3: $i,SX4: $i] : ( SX1 @ SX3 @ SX4 ) )
                                | ~ ~ ! [SX3: $i,SX4: $i] : ( SX0 @ SX3 @ SX4 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[138]) ).

thf(140,plain,
    ( ( ! [SX0: $o,SX1: $i,SX2: $i] :
          ( ~ ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SX2 @ SX0 )
                | ~ ( temporalPart_THFTYPE_IiioI @ SX1 @ SX2 ) )
          | ( holdsDuring_THFTYPE_IiooI @ SX1 @ SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[132]) ).

thf(141,plain,
    ( ( ! [SX0: $i,SX1: $o] :
          ( ~ ( holdsDuring_THFTYPE_IiooI @ SX0 @ ~ SX1 )
          | ~ ( holdsDuring_THFTYPE_IiooI @ SX0 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[129]) ).

thf(142,plain,
    ( ( ~ ! [SX0: $i > $i > $o] :
            ~ ~ ! [SX1: $i > $i > $o] :
                  ~ ~ ! [SX2: $i] :
                        ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
                          @ ~ ( ~ ~ ( ~ ~ ( ~ ( SX1 @ SX2 @ lBill_THFTYPE_i )
                                          | ~ ( SX0 @ SX2 @ lAnna_THFTYPE_i ) )
                                    | ~ ~ ! [SX3: $i,SX4: $i] : ( SX1 @ SX3 @ SX4 ) )
                              | ~ ~ ! [SX3: $i,SX4: $i] : ( SX0 @ SX3 @ SX4 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[139]) ).

thf(143,plain,
    ! [SV1: $o] :
      ( ( ! [SY12: $i,SY13: $i] :
            ( ~ ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SY13 @ SV1 )
                  | ~ ( temporalPart_THFTYPE_IiioI @ SY12 @ SY13 ) )
            | ( holdsDuring_THFTYPE_IiooI @ SY12 @ SV1 ) ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[140]) ).

thf(144,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SX1 @ $true )
                | ~ ( temporalPart_THFTYPE_IiioI @ SX0 @ SX1 ) )
          | ( holdsDuring_THFTYPE_IiooI @ SX0 @ $true ) ) )
    = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[140]) ).

thf(145,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SX1 @ $false )
                | ~ ( temporalPart_THFTYPE_IiioI @ SX0 @ SX1 ) )
          | ( holdsDuring_THFTYPE_IiooI @ SX0 @ $false ) ) )
    = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[140]) ).

thf(146,plain,
    ! [SV2: $i] :
      ( ( ! [SY14: $o] :
            ( ~ ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ SY14 )
            | ~ ( holdsDuring_THFTYPE_IiooI @ SV2 @ SY14 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[141]) ).

thf(147,plain,
    ( ( ! [SX0: $i > $i > $o] :
          ~ ~ ! [SX1: $i > $i > $o] :
                ~ ~ ! [SX2: $i] :
                      ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
                        @ ~ ( ~ ~ ( ~ ~ ( ~ ( SX1 @ SX2 @ lBill_THFTYPE_i )
                                        | ~ ( SX0 @ SX2 @ lAnna_THFTYPE_i ) )
                                  | ~ ~ ! [SX3: $i,SX4: $i] : ( SX1 @ SX3 @ SX4 ) )
                            | ~ ~ ! [SX3: $i,SX4: $i] : ( SX0 @ SX3 @ SX4 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[142]) ).

thf(148,plain,
    ! [SV3: $i,SV1: $o] :
      ( ( ! [SY15: $i] :
            ( ~ ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SY15 @ SV1 )
                  | ~ ( temporalPart_THFTYPE_IiioI @ SV3 @ SY15 ) )
            | ( holdsDuring_THFTYPE_IiooI @ SV3 @ SV1 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[143]) ).

thf(149,plain,
    ! [SV4: $i] :
      ( ( ! [SY16: $i] :
            ( ~ ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SY16 @ $true )
                  | ~ ( temporalPart_THFTYPE_IiioI @ SV4 @ SY16 ) )
            | ( holdsDuring_THFTYPE_IiooI @ SV4 @ $true ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[144]) ).

thf(150,plain,
    ! [SV5: $i] :
      ( ( ! [SY17: $i] :
            ( ~ ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SY17 @ $false )
                  | ~ ( temporalPart_THFTYPE_IiioI @ SV5 @ SY17 ) )
            | ( holdsDuring_THFTYPE_IiooI @ SV5 @ $false ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[145]) ).

thf(151,plain,
    ! [SV6: $o,SV2: $i] :
      ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ SV6 )
        | ~ ( holdsDuring_THFTYPE_IiooI @ SV2 @ SV6 ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[146]) ).

thf(152,plain,
    ! [SV2: $i] :
      ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ $true )
        | ~ ( holdsDuring_THFTYPE_IiooI @ SV2 @ $true ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[146]) ).

thf(153,plain,
    ! [SV2: $i] :
      ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ $false )
        | ~ ( holdsDuring_THFTYPE_IiooI @ SV2 @ $false ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[146]) ).

thf(154,plain,
    ! [SV7: $i > $i > $o] :
      ( ( ~ ~ ! [SY18: $i > $i > $o] :
                ~ ~ ! [SY19: $i] :
                      ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
                        @ ~ ( ~ ~ ( ~ ~ ( ~ ( SY18 @ SY19 @ lBill_THFTYPE_i )
                                        | ~ ( SV7 @ SY19 @ lAnna_THFTYPE_i ) )
                                  | ~ ~ ! [SX3: $i,SX4: $i] : ( SY18 @ SX3 @ SX4 ) )
                            | ~ ~ ! [SY22: $i,SY23: $i] : ( SV7 @ SY22 @ SY23 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[147]) ).

thf(155,plain,
    ! [SV3: $i,SV1: $o,SV8: $i] :
      ( ( ~ ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV8 @ SV1 )
              | ~ ( temporalPart_THFTYPE_IiioI @ SV3 @ SV8 ) )
        | ( holdsDuring_THFTYPE_IiooI @ SV3 @ SV1 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[148]) ).

thf(156,plain,
    ! [SV4: $i,SV9: $i] :
      ( ( ~ ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV9 @ $true )
              | ~ ( temporalPart_THFTYPE_IiioI @ SV4 @ SV9 ) )
        | ( holdsDuring_THFTYPE_IiooI @ SV4 @ $true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[149]) ).

thf(157,plain,
    ! [SV5: $i,SV10: $i] :
      ( ( ~ ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV10 @ $false )
              | ~ ( temporalPart_THFTYPE_IiioI @ SV5 @ SV10 ) )
        | ( holdsDuring_THFTYPE_IiooI @ SV5 @ $false ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[150]) ).

thf(158,plain,
    ! [SV6: $o,SV2: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ SV6 ) )
        = $true )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV2 @ SV6 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[151]) ).

thf(159,plain,
    ! [SV2: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ $true ) )
        = $true )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV2 @ $true ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[152]) ).

thf(160,plain,
    ! [SV2: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ $false ) )
        = $true )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV2 @ $false ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[153]) ).

thf(161,plain,
    ! [SV7: $i > $i > $o] :
      ( ( ~ ! [SY18: $i > $i > $o] :
              ~ ~ ! [SY19: $i] :
                    ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
                      @ ~ ( ~ ~ ( ~ ~ ( ~ ( SY18 @ SY19 @ lBill_THFTYPE_i )
                                      | ~ ( SV7 @ SY19 @ lAnna_THFTYPE_i ) )
                                | ~ ~ ! [SX3: $i,SX4: $i] : ( SY18 @ SX3 @ SX4 ) )
                          | ~ ~ ! [SY22: $i,SY23: $i] : ( SV7 @ SY22 @ SY23 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[154]) ).

thf(162,plain,
    ! [SV3: $i,SV1: $o,SV8: $i] :
      ( ( ( ~ ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV8 @ SV1 )
                | ~ ( temporalPart_THFTYPE_IiioI @ SV3 @ SV8 ) ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ SV1 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[155]) ).

thf(163,plain,
    ! [SV4: $i,SV9: $i] :
      ( ( ( ~ ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV9 @ $true )
                | ~ ( temporalPart_THFTYPE_IiioI @ SV4 @ SV9 ) ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ $true )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[156]) ).

thf(164,plain,
    ! [SV5: $i,SV10: $i] :
      ( ( ( ~ ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV10 @ $false )
                | ~ ( temporalPart_THFTYPE_IiioI @ SV5 @ SV10 ) ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV5 @ $false )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[157]) ).

thf(165,plain,
    ! [SV6: $o,SV2: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ SV6 )
        = $false )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV2 @ SV6 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[158]) ).

thf(166,plain,
    ! [SV2: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ $true )
        = $false )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV2 @ $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[159]) ).

thf(167,plain,
    ! [SV2: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ $false )
        = $false )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV2 @ $false ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[160]) ).

thf(168,plain,
    ! [SV7: $i > $i > $o] :
      ( ( ! [SY18: $i > $i > $o] :
            ~ ~ ! [SY19: $i] :
                  ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
                    @ ~ ( ~ ~ ( ~ ~ ( ~ ( SY18 @ SY19 @ lBill_THFTYPE_i )
                                    | ~ ( SV7 @ SY19 @ lAnna_THFTYPE_i ) )
                              | ~ ~ ! [SX3: $i,SX4: $i] : ( SY18 @ SX3 @ SX4 ) )
                        | ~ ~ ! [SY22: $i,SY23: $i] : ( SV7 @ SY22 @ SY23 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[161]) ).

thf(169,plain,
    ! [SV3: $i,SV1: $o,SV8: $i] :
      ( ( ( ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV8 @ SV1 )
              | ~ ( temporalPart_THFTYPE_IiioI @ SV3 @ SV8 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ SV1 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[162]) ).

thf(170,plain,
    ! [SV4: $i,SV9: $i] :
      ( ( ( ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV9 @ $true )
              | ~ ( temporalPart_THFTYPE_IiioI @ SV4 @ SV9 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[163]) ).

thf(171,plain,
    ! [SV5: $i,SV10: $i] :
      ( ( ( ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV10 @ $false )
              | ~ ( temporalPart_THFTYPE_IiioI @ SV5 @ SV10 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV5 @ $false )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[164]) ).

thf(172,plain,
    ! [SV6: $o,SV2: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV2 @ SV6 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ SV6 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[165]) ).

thf(173,plain,
    ! [SV2: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV2 @ $true )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[166]) ).

thf(174,plain,
    ! [SV2: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV2 @ $false )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ $false )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[167]) ).

thf(175,plain,
    ! [SV7: $i > $i > $o,SV11: $i > $i > $o] :
      ( ( ~ ~ ! [SY24: $i] :
                ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
                  @ ~ ( ~ ~ ( ~ ~ ( ~ ( SV11 @ SY24 @ lBill_THFTYPE_i )
                                  | ~ ( SV7 @ SY24 @ lAnna_THFTYPE_i ) )
                            | ~ ~ ! [SY25: $i,SY26: $i] : ( SV11 @ SY25 @ SY26 ) )
                      | ~ ~ ! [SY22: $i,SY23: $i] : ( SV7 @ SY22 @ SY23 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[168]) ).

thf(176,plain,
    ! [SV3: $i,SV1: $o,SV8: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV8 @ SV1 )
          | ~ ( temporalPart_THFTYPE_IiioI @ SV3 @ SV8 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ SV1 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[169]) ).

thf(177,plain,
    ! [SV4: $i,SV9: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV9 @ $true )
          | ~ ( temporalPart_THFTYPE_IiioI @ SV4 @ SV9 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[170]) ).

thf(178,plain,
    ! [SV5: $i,SV10: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV10 @ $false )
          | ~ ( temporalPart_THFTYPE_IiioI @ SV5 @ SV10 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV5 @ $false )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[171]) ).

thf(179,plain,
    ! [SV7: $i > $i > $o,SV11: $i > $i > $o] :
      ( ( ~ ! [SY24: $i] :
              ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
                @ ~ ( ~ ~ ( ~ ~ ( ~ ( SV11 @ SY24 @ lBill_THFTYPE_i )
                                | ~ ( SV7 @ SY24 @ lAnna_THFTYPE_i ) )
                          | ~ ~ ! [SY25: $i,SY26: $i] : ( SV11 @ SY25 @ SY26 ) )
                    | ~ ~ ! [SY22: $i,SY23: $i] : ( SV7 @ SY22 @ SY23 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[175]) ).

thf(180,plain,
    ! [SV3: $i,SV1: $o,SV8: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV8 @ SV1 ) )
        = $true )
      | ( ( ~ ( temporalPart_THFTYPE_IiioI @ SV3 @ SV8 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ SV1 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[176]) ).

thf(181,plain,
    ! [SV4: $i,SV9: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV9 @ $true ) )
        = $true )
      | ( ( ~ ( temporalPart_THFTYPE_IiioI @ SV4 @ SV9 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ $true )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[177]) ).

thf(182,plain,
    ! [SV5: $i,SV10: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV10 @ $false ) )
        = $true )
      | ( ( ~ ( temporalPart_THFTYPE_IiioI @ SV5 @ SV10 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV5 @ $false )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[178]) ).

thf(183,plain,
    ! [SV7: $i > $i > $o,SV11: $i > $i > $o] :
      ( ( ! [SY24: $i] :
            ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ~ ~ ( ~ ~ ( ~ ( SV11 @ SY24 @ lBill_THFTYPE_i )
                              | ~ ( SV7 @ SY24 @ lAnna_THFTYPE_i ) )
                        | ~ ~ ! [SY25: $i,SY26: $i] : ( SV11 @ SY25 @ SY26 ) )
                  | ~ ~ ! [SY22: $i,SY23: $i] : ( SV7 @ SY22 @ SY23 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[179]) ).

thf(184,plain,
    ! [SV3: $i,SV1: $o,SV8: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV8 @ SV1 )
        = $false )
      | ( ( ~ ( temporalPart_THFTYPE_IiioI @ SV3 @ SV8 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ SV1 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[180]) ).

thf(185,plain,
    ! [SV4: $i,SV9: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV9 @ $true )
        = $false )
      | ( ( ~ ( temporalPart_THFTYPE_IiioI @ SV4 @ SV9 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[181]) ).

thf(186,plain,
    ! [SV5: $i,SV10: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV10 @ $false )
        = $false )
      | ( ( ~ ( temporalPart_THFTYPE_IiioI @ SV5 @ SV10 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV5 @ $false )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[182]) ).

thf(187,plain,
    ! [SV7: $i > $i > $o,SV12: $i,SV11: $i > $i > $o] :
      ( ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
            @ ~ ( ~ ~ ( ~ ~ ( ~ ( SV11 @ SV12 @ lBill_THFTYPE_i )
                            | ~ ( SV7 @ SV12 @ lAnna_THFTYPE_i ) )
                      | ~ ~ ! [SY25: $i,SY26: $i] : ( SV11 @ SY25 @ SY26 ) )
                | ~ ~ ! [SY22: $i,SY23: $i] : ( SV7 @ SY22 @ SY23 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[183]) ).

thf(188,plain,
    ! [SV1: $o,SV8: $i,SV3: $i] :
      ( ( ( temporalPart_THFTYPE_IiioI @ SV3 @ SV8 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV8 @ SV1 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ SV1 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[184]) ).

thf(189,plain,
    ! [SV9: $i,SV4: $i] :
      ( ( ( temporalPart_THFTYPE_IiioI @ SV4 @ SV9 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV9 @ $true )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[185]) ).

thf(190,plain,
    ! [SV10: $i,SV5: $i] :
      ( ( ( temporalPart_THFTYPE_IiioI @ SV5 @ SV10 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV10 @ $false )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV5 @ $false )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[186]) ).

thf(191,plain,
    ! [SV7: $i > $i > $o,SV12: $i,SV11: $i > $i > $o] :
      ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( ~ ~ ( ~ ~ ( ~ ( SV11 @ SV12 @ lBill_THFTYPE_i )
                        | ~ ( SV7 @ SV12 @ lAnna_THFTYPE_i ) )
                  | ~ ~ ! [SY25: $i,SY26: $i] : ( SV11 @ SY25 @ SY26 ) )
            | ~ ~ ! [SY22: $i,SY23: $i] : ( SV7 @ SY22 @ SY23 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[187]) ).

thf(192,plain,
    ! [SV6: $o,SV2: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ SV6 )
        = $false )
      | ( ( ( holdsDuring_THFTYPE_IiooI @ SV2 @ SV6 )
          = ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ SV6 ) )
        = $false ) ),
    inference(fac_restr,[status(thm)],[172]) ).

thf(193,plain,
    ! [SV2: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ $true )
        = $false )
      | ( ( ( holdsDuring_THFTYPE_IiooI @ SV2 @ $true )
          = ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ $true ) )
        = $false ) ),
    inference(fac_restr,[status(thm)],[173]) ).

thf(194,plain,
    ! [SV2: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ $false )
        = $false )
      | ( ( ( holdsDuring_THFTYPE_IiooI @ SV2 @ $false )
          = ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ $false ) )
        = $false ) ),
    inference(fac_restr,[status(thm)],[174]) ).

thf(195,plain,
    ! [SV6: $o,SV2: $i] :
      ( ( ( ~ ( ( holdsDuring_THFTYPE_IiooI @ SV2 @ SV6 )
              | ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ SV6 ) )
          | ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV2 @ SV6 )
              | ~ ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ SV6 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ SV6 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[192]) ).

thf(197,plain,
    ! [SV2: $i] :
      ( ( ( ~ ( ( holdsDuring_THFTYPE_IiooI @ SV2 @ $true )
              | ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ $true ) )
          | ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV2 @ $true )
              | ~ ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ $true ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ $true )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[193]) ).

thf(199,plain,
    ! [SV2: $i] :
      ( ( ( ~ ( ( holdsDuring_THFTYPE_IiooI @ SV2 @ $false )
              | ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ $false ) )
          | ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV2 @ $false )
              | ~ ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ $false ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ $false )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[194]) ).

thf(202,plain,
    ! [SV6: $o,SV2: $i] :
      ( ( ( ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV2 @ SV6 )
              | ~ ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ SV6 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ SV6 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[195]) ).

thf(204,plain,
    ! [SV2: $i] :
      ( ( ( ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV2 @ $true )
              | ~ ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ $true ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ $true )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[197]) ).

thf(206,plain,
    ! [SV2: $i] :
      ( ( ( ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV2 @ $false )
              | ~ ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ $false ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ $false )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[199]) ).

thf(208,plain,
    ! [SV6: $o,SV2: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV2 @ SV6 )
          | ~ ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ SV6 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ SV6 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[202]) ).

thf(210,plain,
    ! [SV2: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV2 @ $true )
          | ~ ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ $true ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ $true )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[204]) ).

thf(212,plain,
    ! [SV2: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV2 @ $false )
          | ~ ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ $false ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ $false )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[206]) ).

thf(214,plain,
    ! [SV6: $o,SV2: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV2 @ SV6 ) )
        = $true )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ SV6 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ SV6 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[208]) ).

thf(216,plain,
    ! [SV2: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV2 @ $true ) )
        = $true )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ $true ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ $true )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[210]) ).

thf(218,plain,
    ! [SV2: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV2 @ $false ) )
        = $true )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ $false ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ $false )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[212]) ).

thf(219,plain,
    ! [SV6: $o,SV2: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV2 @ SV6 )
        = $false )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ SV6 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ SV6 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[214]) ).

thf(220,plain,
    ! [SV2: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV2 @ $true )
        = $false )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ $true ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[216]) ).

thf(221,plain,
    ! [SV2: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV2 @ $false )
        = $false )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ $false ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ $false )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[218]) ).

thf(222,plain,
    ! [SV6: $o,SV2: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ SV6 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV2 @ SV6 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ SV6 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[219]) ).

thf(223,plain,
    ! [SV2: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ $true )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV2 @ $true )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[220]) ).

thf(224,plain,
    ! [SV2: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ $false )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV2 @ $false )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ $false )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[221]) ).

thf(233,plain,
    ! [SV6: $o,SV2: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ SV6 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV2 @ SV6 )
        = $false ) ),
    inference(sim,[status(thm)],[222]) ).

thf(234,plain,
    ! [SV2: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ $true )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV2 @ $true )
        = $false ) ),
    inference(sim,[status(thm)],[223]) ).

thf(235,plain,
    ! [SV2: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV2 @ ~ $false )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV2 @ $false )
        = $false ) ),
    inference(sim,[status(thm)],[224]) ).

thf(236,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                        | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                  | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
            | ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) ) )
      = $false ),
    inference(rename,[status(thm)],[191]) ).

thf(242,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                    | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) ) )
        = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
      = $false ),
    inference(res,[status(thm)],[236,130]) ).

thf(243,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                    | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) ) )
        = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ) )
      = $false ),
    inference(res,[status(thm)],[236,127]) ).

thf(244,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                    | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) ) )
        = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) ) )
      = $false ),
    inference(res,[status(thm)],[236,125]) ).

thf(245,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                    | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) ) )
        = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
      = $false ),
    inference(res,[status(thm)],[236,123]) ).

thf(246,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                    | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) ) )
        = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
      = $false ),
    inference(res,[status(thm)],[236,121]) ).

thf(247,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                    | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) ) )
        = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ) )
      = $false ),
    inference(res,[status(thm)],[236,119]) ).

thf(248,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                    | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) ) )
        = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
      = $false ),
    inference(res,[status(thm)],[236,117]) ).

thf(249,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                    | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) ) )
        = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
      = $false ),
    inference(res,[status(thm)],[236,115]) ).

thf(250,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                    | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) ) )
        = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
      = $false ),
    inference(res,[status(thm)],[236,113]) ).

thf(251,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                    | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) ) )
        = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ) )
      = $false ),
    inference(res,[status(thm)],[236,111]) ).

thf(252,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                    | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[251]) ).

thf(253,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                    | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[251]) ).

thf(254,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                    | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[250]) ).

thf(255,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                    | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[250]) ).

thf(256,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                    | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[249]) ).

thf(257,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                    | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[249]) ).

thf(258,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                    | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[248]) ).

thf(259,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                    | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[248]) ).

thf(260,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                    | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[247]) ).

thf(261,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                    | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[247]) ).

thf(262,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[246]) ).

thf(263,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[246]) ).

thf(264,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                    | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extuni,[status(esa)],[246]) ).

thf(265,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                    | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[246]) ).

thf(266,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                    | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[245]) ).

thf(267,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                    | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[245]) ).

thf(268,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[244]) ).

thf(269,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[244]) ).

thf(270,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                    | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extuni,[status(esa)],[244]) ).

thf(271,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                    | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[244]) ).

thf(272,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[243]) ).

thf(273,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[243]) ).

thf(274,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                    | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extuni,[status(esa)],[243]) ).

thf(275,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                    | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[243]) ).

thf(276,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                    | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[242]) ).

thf(277,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                    | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[242]) ).

thf(278,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[253]) ).

thf(279,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[252]) ).

thf(280,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[255]) ).

thf(281,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[254]) ).

thf(282,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[257]) ).

thf(283,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[256]) ).

thf(284,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[259]) ).

thf(285,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[258]) ).

thf(286,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[261]) ).

thf(287,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[260]) ).

thf(288,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[265]) ).

thf(289,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[264]) ).

thf(290,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[263]) ).

thf(291,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[263]) ).

thf(292,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[262]) ).

thf(293,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[267]) ).

thf(294,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[266]) ).

thf(295,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[271]) ).

thf(296,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[270]) ).

thf(297,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[269]) ).

thf(298,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[269]) ).

thf(299,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[268]) ).

thf(300,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[275]) ).

thf(301,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[274]) ).

thf(302,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[273]) ).

thf(303,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[273]) ).

thf(304,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[272]) ).

thf(305,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[277]) ).

thf(306,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[276]) ).

thf(307,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[278]) ).

thf(308,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[279]) ).

thf(309,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[279]) ).

thf(310,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[280]) ).

thf(311,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[281]) ).

thf(312,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[281]) ).

thf(313,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[282]) ).

thf(314,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[283]) ).

thf(315,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[283]) ).

thf(316,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[284]) ).

thf(317,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[285]) ).

thf(318,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[285]) ).

thf(319,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[286]) ).

thf(320,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[287]) ).

thf(321,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[287]) ).

thf(322,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[288]) ).

thf(323,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[289]) ).

thf(324,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[289]) ).

thf(325,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                    | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[290]) ).

thf(326,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[291]) ).

thf(327,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                    | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[292]) ).

thf(328,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[293]) ).

thf(329,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[294]) ).

thf(330,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[294]) ).

thf(331,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[295]) ).

thf(332,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[296]) ).

thf(333,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[296]) ).

thf(334,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                    | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[297]) ).

thf(335,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[298]) ).

thf(336,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                    | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[299]) ).

thf(337,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[300]) ).

thf(338,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[301]) ).

thf(339,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[301]) ).

thf(340,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                    | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[302]) ).

thf(341,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[303]) ).

thf(342,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                    | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[304]) ).

thf(343,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[305]) ).

thf(344,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                      | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
                | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[306]) ).

thf(345,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[306]) ).

thf(346,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                    | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[307]) ).

thf(347,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                    | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[308]) ).

thf(348,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[309]) ).

thf(349,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                    | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[310]) ).

thf(350,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                    | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[311]) ).

thf(351,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[312]) ).

thf(352,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                    | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[313]) ).

thf(353,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                    | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[314]) ).

thf(354,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[315]) ).

thf(355,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                    | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[316]) ).

thf(356,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                    | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[317]) ).

thf(357,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[318]) ).

thf(358,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                    | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[319]) ).

thf(359,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                    | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[320]) ).

thf(360,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[321]) ).

thf(361,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                    | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[322]) ).

thf(362,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                    | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[323]) ).

thf(363,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[324]) ).

thf(364,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[325]) ).

thf(365,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[326]) ).

thf(366,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[327]) ).

thf(367,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                    | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[328]) ).

thf(368,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                    | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[329]) ).

thf(369,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[330]) ).

thf(370,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                    | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[331]) ).

thf(371,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                    | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[332]) ).

thf(372,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[333]) ).

thf(373,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[334]) ).

thf(374,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[335]) ).

thf(375,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[336]) ).

thf(376,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                    | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[337]) ).

thf(377,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                    | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[338]) ).

thf(378,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[339]) ).

thf(379,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[340]) ).

thf(380,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[341]) ).

thf(381,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[342]) ).

thf(382,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                    | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[343]) ).

thf(383,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                    | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[344]) ).

thf(384,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[345]) ).

thf(385,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[346]) ).

thf(386,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[347]) ).

thf(387,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[348]) ).

thf(388,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[349]) ).

thf(389,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[350]) ).

thf(390,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[351]) ).

thf(391,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[352]) ).

thf(392,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[353]) ).

thf(393,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[354]) ).

thf(394,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[355]) ).

thf(395,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[356]) ).

thf(396,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[357]) ).

thf(397,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[358]) ).

thf(398,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[359]) ).

thf(399,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[360]) ).

thf(400,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[361]) ).

thf(401,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[362]) ).

thf(402,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[363]) ).

thf(403,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[364]) ).

thf(404,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[364]) ).

thf(405,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SY33: $i] : ( SV13 @ ( sK1_SX0 @ SV13 ) @ SY33 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[365]) ).

thf(406,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[366]) ).

thf(407,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[367]) ).

thf(408,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[368]) ).

thf(409,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[369]) ).

thf(410,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[370]) ).

thf(411,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[371]) ).

thf(412,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[372]) ).

thf(413,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[373]) ).

thf(414,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[373]) ).

thf(415,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SY34: $i] : ( SV13 @ ( sK2_SX0 @ SV13 ) @ SY34 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[374]) ).

thf(416,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[375]) ).

thf(417,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[376]) ).

thf(418,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[377]) ).

thf(419,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[378]) ).

thf(420,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[379]) ).

thf(421,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[379]) ).

thf(422,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SY35: $i] : ( SV13 @ ( sK3_SX0 @ SV13 ) @ SY35 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[380]) ).

thf(423,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[381]) ).

thf(424,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[382]) ).

thf(425,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[383]) ).

thf(426,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[384]) ).

thf(427,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[385]) ).

thf(428,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[386]) ).

thf(429,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[386]) ).

thf(430,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SY36: $i] : ( SV13 @ ( sK4_SX0 @ SV13 ) @ SY36 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[387]) ).

thf(431,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[388]) ).

thf(432,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[389]) ).

thf(433,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[389]) ).

thf(434,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SY37: $i] : ( SV13 @ ( sK5_SX0 @ SV13 ) @ SY37 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[390]) ).

thf(435,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[391]) ).

thf(436,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[392]) ).

thf(437,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[392]) ).

thf(438,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SY38: $i] : ( SV13 @ ( sK6_SX0 @ SV13 ) @ SY38 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[393]) ).

thf(439,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[394]) ).

thf(440,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[395]) ).

thf(441,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[395]) ).

thf(442,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SY39: $i] : ( SV13 @ ( sK7_SX0 @ SV13 ) @ SY39 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[396]) ).

thf(443,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[397]) ).

thf(444,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[398]) ).

thf(445,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[398]) ).

thf(446,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SY40: $i] : ( SV13 @ ( sK8_SX0 @ SV13 ) @ SY40 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[399]) ).

thf(447,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[400]) ).

thf(448,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[401]) ).

thf(449,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[401]) ).

thf(450,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SY41: $i] : ( SV13 @ ( sK9_SX0 @ SV13 ) @ SY41 ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[402]) ).

thf(451,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
              | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[403]) ).

thf(452,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[404]) ).

thf(453,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13 @ ( sK1_SX0 @ SV13 ) @ ( sK10_SY33 @ SV13 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[405]) ).

thf(454,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
              | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[406]) ).

thf(455,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[407]) ).

thf(456,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[408]) ).

thf(457,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[408]) ).

thf(458,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SY42: $i] : ( SV13 @ ( sK11_SX0 @ SV13 ) @ SY42 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[409]) ).

thf(459,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[410]) ).

thf(460,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[411]) ).

thf(461,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[411]) ).

thf(462,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SY43: $i] : ( SV13 @ ( sK12_SX0 @ SV13 ) @ SY43 ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[412]) ).

thf(463,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
              | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[413]) ).

thf(464,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[414]) ).

thf(465,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13 @ ( sK2_SX0 @ SV13 ) @ ( sK13_SY34 @ SV13 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[415]) ).

thf(466,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
              | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[416]) ).

thf(467,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[417]) ).

thf(468,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[418]) ).

thf(469,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[418]) ).

thf(470,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SY44: $i] : ( SV13 @ ( sK14_SX0 @ SV13 ) @ SY44 ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[419]) ).

thf(471,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
              | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[420]) ).

thf(472,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[421]) ).

thf(473,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13 @ ( sK3_SX0 @ SV13 ) @ ( sK15_SY35 @ SV13 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[422]) ).

thf(474,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
              | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[423]) ).

thf(475,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[424]) ).

thf(476,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
                | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[425]) ).

thf(477,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[425]) ).

thf(478,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( ! [SY45: $i] : ( SV13 @ ( sK16_SX0 @ SV13 ) @ SY45 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[426]) ).

thf(479,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
              | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[427]) ).

thf(480,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
              | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[428]) ).

thf(481,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[429]) ).

thf(482,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13 @ ( sK4_SX0 @ SV13 ) @ ( sK17_SY36 @ SV13 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[430]) ).

thf(483,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
              | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[431]) ).

thf(484,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
              | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[432]) ).

thf(485,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[433]) ).

thf(486,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13 @ ( sK5_SX0 @ SV13 ) @ ( sK18_SY37 @ SV13 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[434]) ).

thf(487,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
              | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[435]) ).

thf(488,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
              | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[436]) ).

thf(489,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[437]) ).

thf(490,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13 @ ( sK6_SX0 @ SV13 ) @ ( sK19_SY38 @ SV13 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[438]) ).

thf(491,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
              | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[439]) ).

thf(492,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
              | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[440]) ).

thf(493,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[441]) ).

thf(494,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13 @ ( sK7_SX0 @ SV13 ) @ ( sK20_SY39 @ SV13 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[442]) ).

thf(495,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
              | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[443]) ).

thf(496,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
              | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[444]) ).

thf(497,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[445]) ).

thf(498,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13 @ ( sK8_SX0 @ SV13 ) @ ( sK21_SY40 @ SV13 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[446]) ).

thf(499,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
              | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[447]) ).

thf(500,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
              | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[448]) ).

thf(501,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[449]) ).

thf(502,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13 @ ( sK9_SX0 @ SV13 ) @ ( sK22_SY41 @ SV13 ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[450]) ).

thf(503,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[451]) ).

thf(504,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[452]) ).

thf(505,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[454]) ).

thf(506,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
              | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[455]) ).

thf(507,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
              | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[456]) ).

thf(508,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[457]) ).

thf(509,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13 @ ( sK11_SX0 @ SV13 ) @ ( sK23_SY42 @ SV13 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[458]) ).

thf(510,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
              | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[459]) ).

thf(511,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
              | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[460]) ).

thf(512,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[461]) ).

thf(513,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13 @ ( sK12_SX0 @ SV13 ) @ ( sK24_SY43 @ SV13 ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[462]) ).

thf(514,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[463]) ).

thf(515,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[464]) ).

thf(516,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[466]) ).

thf(517,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
              | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[467]) ).

thf(518,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
              | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[468]) ).

thf(519,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[469]) ).

thf(520,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13 @ ( sK14_SX0 @ SV13 ) @ ( sK25_SY44 @ SV13 ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[470]) ).

thf(521,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[471]) ).

thf(522,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[472]) ).

thf(523,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[474]) ).

thf(524,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
              | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[475]) ).

thf(525,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
              | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[476]) ).

thf(526,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[477]) ).

thf(527,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( SV13 @ ( sK16_SX0 @ SV13 ) @ ( sK26_SY45 @ SV13 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[478]) ).

thf(528,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[479]) ).

thf(529,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[480]) ).

thf(530,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[481]) ).

thf(531,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[483]) ).

thf(532,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[484]) ).

thf(533,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[485]) ).

thf(534,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[487]) ).

thf(535,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[488]) ).

thf(536,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[489]) ).

thf(537,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[491]) ).

thf(538,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[492]) ).

thf(539,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[493]) ).

thf(540,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[495]) ).

thf(541,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[496]) ).

thf(542,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[497]) ).

thf(543,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[499]) ).

thf(544,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[500]) ).

thf(545,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[501]) ).

thf(546,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13 @ ( sK9_SX0 @ SV13 ) @ ( sK22_SY41 @ SV13 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[502]) ).

thf(547,plain,
    ! [SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[503]) ).

thf(548,plain,
    ! [SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[503]) ).

thf(549,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SY46: $i] : ( SV15 @ ( sK27_SX0 @ SV15 ) @ SY46 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[504]) ).

thf(550,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[505]) ).

thf(551,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[506]) ).

thf(552,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[507]) ).

thf(553,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[508]) ).

thf(554,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[510]) ).

thf(555,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[511]) ).

thf(556,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[512]) ).

thf(557,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false )
      | ( ( SV13 @ ( sK12_SX0 @ SV13 ) @ ( sK24_SY43 @ SV13 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[513]) ).

thf(558,plain,
    ! [SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[514]) ).

thf(559,plain,
    ! [SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[514]) ).

thf(560,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SY47: $i] : ( SV15 @ ( sK28_SX0 @ SV15 ) @ SY47 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[515]) ).

thf(561,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[516]) ).

thf(562,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[517]) ).

thf(563,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[518]) ).

thf(564,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[519]) ).

thf(565,plain,
    ! [SV13: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false )
      | ( ( SV13 @ ( sK14_SX0 @ SV13 ) @ ( sK25_SY44 @ SV13 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[520]) ).

thf(566,plain,
    ! [SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[521]) ).

thf(567,plain,
    ! [SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[521]) ).

thf(568,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SY48: $i] : ( SV15 @ ( sK29_SX0 @ SV15 ) @ SY48 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[522]) ).

thf(569,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[523]) ).

thf(570,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[524]) ).

thf(571,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i )
          | ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[525]) ).

thf(572,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[526]) ).

thf(573,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[528]) ).

thf(574,plain,
    ! [SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[529]) ).

thf(575,plain,
    ! [SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[529]) ).

thf(576,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SY49: $i] : ( SV15 @ ( sK30_SX0 @ SV15 ) @ SY49 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[530]) ).

thf(577,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[531]) ).

thf(578,plain,
    ! [SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[532]) ).

thf(579,plain,
    ! [SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[532]) ).

thf(580,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SY50: $i] : ( SV15 @ ( sK31_SX0 @ SV15 ) @ SY50 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[533]) ).

thf(581,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[534]) ).

thf(582,plain,
    ! [SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[535]) ).

thf(583,plain,
    ! [SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[535]) ).

thf(584,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SY51: $i] : ( SV15 @ ( sK32_SX0 @ SV15 ) @ SY51 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[536]) ).

thf(585,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[537]) ).

thf(586,plain,
    ! [SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[538]) ).

thf(587,plain,
    ! [SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[538]) ).

thf(588,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SY52: $i] : ( SV15 @ ( sK33_SX0 @ SV15 ) @ SY52 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[539]) ).

thf(589,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[540]) ).

thf(590,plain,
    ! [SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[541]) ).

thf(591,plain,
    ! [SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[541]) ).

thf(592,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SY53: $i] : ( SV15 @ ( sK34_SX0 @ SV15 ) @ SY53 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[542]) ).

thf(593,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[543]) ).

thf(594,plain,
    ! [SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[544]) ).

thf(595,plain,
    ! [SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[544]) ).

thf(596,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SY54: $i] : ( SV15 @ ( sK35_SX0 @ SV15 ) @ SY54 ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[545]) ).

thf(597,plain,
    ! [SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[547]) ).

thf(598,plain,
    ! [SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[548]) ).

thf(599,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15 @ ( sK27_SX0 @ SV15 ) @ ( sK36_SY46 @ SV15 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[549]) ).

thf(600,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[550]) ).

thf(601,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[551]) ).

thf(602,plain,
    ! [SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[552]) ).

thf(603,plain,
    ! [SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[552]) ).

thf(604,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SY55: $i] : ( SV15 @ ( sK37_SX0 @ SV15 ) @ SY55 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[553]) ).

thf(605,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[554]) ).

thf(606,plain,
    ! [SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[555]) ).

thf(607,plain,
    ! [SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[555]) ).

thf(608,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SY56: $i] : ( SV15 @ ( sK38_SX0 @ SV15 ) @ SY56 ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[556]) ).

thf(609,plain,
    ! [SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[558]) ).

thf(610,plain,
    ! [SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[559]) ).

thf(611,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15 @ ( sK28_SX0 @ SV15 ) @ ( sK39_SY47 @ SV15 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[560]) ).

thf(612,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[561]) ).

thf(613,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[562]) ).

thf(614,plain,
    ! [SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[563]) ).

thf(615,plain,
    ! [SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[563]) ).

thf(616,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SY57: $i] : ( SV15 @ ( sK40_SX0 @ SV15 ) @ SY57 ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[564]) ).

thf(617,plain,
    ! [SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[566]) ).

thf(618,plain,
    ! [SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[567]) ).

thf(619,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15 @ ( sK29_SX0 @ SV15 ) @ ( sK41_SY48 @ SV15 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[568]) ).

thf(620,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[569]) ).

thf(621,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[570]) ).

thf(622,plain,
    ! [SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ( SV15 @ SV14 @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[571]) ).

thf(623,plain,
    ! [SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[571]) ).

thf(624,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( ! [SY58: $i] : ( SV15 @ ( sK42_SX0 @ SV15 ) @ SY58 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[572]) ).

thf(625,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[573]) ).

thf(626,plain,
    ! [SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[574]) ).

thf(627,plain,
    ! [SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[575]) ).

thf(628,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15 @ ( sK30_SX0 @ SV15 ) @ ( sK43_SY49 @ SV15 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[576]) ).

thf(629,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[577]) ).

thf(630,plain,
    ! [SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[578]) ).

thf(631,plain,
    ! [SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[579]) ).

thf(632,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15 @ ( sK31_SX0 @ SV15 ) @ ( sK44_SY50 @ SV15 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[580]) ).

thf(633,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[581]) ).

thf(634,plain,
    ! [SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[582]) ).

thf(635,plain,
    ! [SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[583]) ).

thf(636,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15 @ ( sK32_SX0 @ SV15 ) @ ( sK45_SY51 @ SV15 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[584]) ).

thf(637,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[585]) ).

thf(638,plain,
    ! [SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[586]) ).

thf(639,plain,
    ! [SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[587]) ).

thf(640,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15 @ ( sK33_SX0 @ SV15 ) @ ( sK46_SY52 @ SV15 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[588]) ).

thf(641,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[589]) ).

thf(642,plain,
    ! [SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[590]) ).

thf(643,plain,
    ! [SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[591]) ).

thf(644,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15 @ ( sK34_SX0 @ SV15 ) @ ( sK47_SY53 @ SV15 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[592]) ).

thf(645,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[593]) ).

thf(646,plain,
    ! [SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[594]) ).

thf(647,plain,
    ! [SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[595]) ).

thf(648,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15 @ ( sK35_SX0 @ SV15 ) @ ( sK48_SY54 @ SV15 ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[596]) ).

thf(649,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[600]) ).

thf(650,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[601]) ).

thf(651,plain,
    ! [SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[602]) ).

thf(652,plain,
    ! [SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[603]) ).

thf(653,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15 @ ( sK37_SX0 @ SV15 ) @ ( sK49_SY55 @ SV15 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[604]) ).

thf(654,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[605]) ).

thf(655,plain,
    ! [SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[606]) ).

thf(656,plain,
    ! [SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[607]) ).

thf(657,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15 @ ( sK38_SX0 @ SV15 ) @ ( sK50_SY56 @ SV15 ) )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[608]) ).

thf(658,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[612]) ).

thf(659,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[613]) ).

thf(660,plain,
    ! [SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[614]) ).

thf(661,plain,
    ! [SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[615]) ).

thf(662,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15 @ ( sK40_SX0 @ SV15 ) @ ( sK51_SY57 @ SV15 ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[616]) ).

thf(663,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[620]) ).

thf(664,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV13 @ SV14 @ lAnna_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[621]) ).

thf(665,plain,
    ! [SV14: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[622]) ).

thf(666,plain,
    ! [SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[623]) ).

thf(667,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( SV15 @ ( sK42_SX0 @ SV15 ) @ ( sK52_SY58 @ SV15 ) )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[624]) ).

thf(668,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[625]) ).

thf(669,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[629]) ).

thf(670,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[633]) ).

thf(671,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[637]) ).

thf(672,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[641]) ).

thf(673,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[645]) ).

thf(674,plain,
    ! [SV14: $i,SV15: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[646]) ).

thf(675,plain,
    ! [SV14: $i,SV13: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[647]) ).

thf(676,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ ( sK35_SX0 @ SV15 ) @ ( sK48_SY54 @ SV15 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[648]) ).

thf(677,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[649]) ).

thf(678,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[650]) ).

thf(679,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[654]) ).

thf(680,plain,
    ! [SV14: $i,SV15: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[655]) ).

thf(681,plain,
    ! [SV14: $i,SV13: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[656]) ).

thf(682,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false )
      | ( ( SV15 @ ( sK38_SX0 @ SV15 ) @ ( sK50_SY56 @ SV15 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[657]) ).

thf(683,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[658]) ).

thf(684,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[659]) ).

thf(685,plain,
    ! [SV14: $i,SV15: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[660]) ).

thf(686,plain,
    ! [SV14: $i,SV13: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[661]) ).

thf(687,plain,
    ! [SV15: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false )
      | ( ( SV15 @ ( sK40_SX0 @ SV15 ) @ ( sK51_SY57 @ SV15 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[662]) ).

thf(688,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[663]) ).

thf(689,plain,
    ! [SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[664]) ).

thf(690,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[668]) ).

thf(691,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[669]) ).

thf(692,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[670]) ).

thf(693,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[671]) ).

thf(694,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[672]) ).

thf(695,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[673]) ).

thf(696,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[677]) ).

thf(697,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[678]) ).

thf(698,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[679]) ).

thf(699,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[683]) ).

thf(700,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[684]) ).

thf(701,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[688]) ).

thf(702,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[689]) ).

thf(703,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[690]) ).

thf(704,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[691]) ).

thf(705,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[692]) ).

thf(706,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[693]) ).

thf(707,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[694]) ).

thf(708,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[695]) ).

thf(709,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV16: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SY59: $i] : ( SV15 @ SV16 @ SY59 ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[696]) ).

thf(710,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[697]) ).

thf(711,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[698]) ).

thf(712,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV17: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SY60: $i] : ( SV15 @ SV17 @ SY60 ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[699]) ).

thf(713,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[700]) ).

thf(714,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV18: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SY61: $i] : ( SV15 @ SV18 @ SY61 ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[701]) ).

thf(715,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV15 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[702]) ).

thf(716,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV19: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SY62: $i] : ( SV15 @ SV19 @ SY62 ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[703]) ).

thf(717,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV20: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SY63: $i] : ( SV15 @ SV20 @ SY63 ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[704]) ).

thf(718,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV21: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SY64: $i] : ( SV15 @ SV21 @ SY64 ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[705]) ).

thf(719,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV22: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SY65: $i] : ( SV15 @ SV22 @ SY65 ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[706]) ).

thf(720,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV23: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SY66: $i] : ( SV15 @ SV23 @ SY66 ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[707]) ).

thf(721,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV24: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SY67: $i] : ( SV15 @ SV24 @ SY67 ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[708]) ).

thf(722,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV25: $i,SV16: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV16 @ SV25 )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[709]) ).

thf(723,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV26: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SY68: $i] : ( SV15 @ SV26 @ SY68 ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[710]) ).

thf(724,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV27: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SY69: $i] : ( SV15 @ SV27 @ SY69 ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[711]) ).

thf(725,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV28: $i,SV17: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV17 @ SV28 )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[712]) ).

thf(726,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV29: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SY70: $i] : ( SV15 @ SV29 @ SY70 ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[713]) ).

thf(727,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV30: $i,SV18: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV18 @ SV30 )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[714]) ).

thf(728,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV31: $i,SV15: $i > $i > $o] :
      ( ( ( ! [SY71: $i] : ( SV15 @ SV31 @ SY71 ) )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[715]) ).

thf(729,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV32: $i,SV19: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV19 @ SV32 )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[716]) ).

thf(730,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV33: $i,SV20: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV20 @ SV33 )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[717]) ).

thf(731,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV34: $i,SV21: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV21 @ SV34 )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[718]) ).

thf(732,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV35: $i,SV22: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV22 @ SV35 )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[719]) ).

thf(733,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV36: $i,SV23: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV23 @ SV36 )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[720]) ).

thf(734,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV37: $i,SV24: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV24 @ SV37 )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[721]) ).

thf(735,plain,
    ! [SV25: $i,SV16: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV16 @ SV25 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[722]) ).

thf(736,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV38: $i,SV26: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV26 @ SV38 )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[723]) ).

thf(737,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV39: $i,SV27: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV27 @ SV39 )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[724]) ).

thf(738,plain,
    ! [SV28: $i,SV17: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV17 @ SV28 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[725]) ).

thf(739,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV40: $i,SV29: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV29 @ SV40 )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[726]) ).

thf(740,plain,
    ! [SV30: $i,SV18: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV18 @ SV30 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[727]) ).

thf(741,plain,
    ! [SV13: $i > $i > $o,SV14: $i,SV41: $i,SV31: $i,SV15: $i > $i > $o] :
      ( ( ( SV15 @ SV31 @ SV41 )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[728]) ).

thf(742,plain,
    ! [SV32: $i,SV19: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV19 @ SV32 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[729]) ).

thf(743,plain,
    ! [SV33: $i,SV20: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV20 @ SV33 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[730]) ).

thf(744,plain,
    ! [SV34: $i,SV21: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV21 @ SV34 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[731]) ).

thf(745,plain,
    ! [SV35: $i,SV22: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV22 @ SV35 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[732]) ).

thf(746,plain,
    ! [SV36: $i,SV23: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV23 @ SV36 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[733]) ).

thf(747,plain,
    ! [SV37: $i,SV24: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV24 @ SV37 )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[734]) ).

thf(748,plain,
    ! [SV25: $i,SV16: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV16 @ SV25 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[735]) ).

thf(749,plain,
    ! [SV38: $i,SV26: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV26 @ SV38 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[736]) ).

thf(750,plain,
    ! [SV39: $i,SV27: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV27 @ SV39 )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[737]) ).

thf(751,plain,
    ! [SV28: $i,SV17: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV17 @ SV28 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[738]) ).

thf(752,plain,
    ! [SV40: $i,SV29: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV29 @ SV40 )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[739]) ).

thf(753,plain,
    ! [SV30: $i,SV18: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV18 @ SV30 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[740]) ).

thf(754,plain,
    ! [SV41: $i,SV31: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV31 @ SV41 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[741]) ).

thf(755,plain,
    ! [SV32: $i,SV19: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV19 @ SV32 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[742]) ).

thf(756,plain,
    ! [SV33: $i,SV20: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV20 @ SV33 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[743]) ).

thf(757,plain,
    ! [SV34: $i,SV21: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV21 @ SV34 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[744]) ).

thf(758,plain,
    ! [SV35: $i,SV22: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV22 @ SV35 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[745]) ).

thf(759,plain,
    ! [SV36: $i,SV23: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV23 @ SV36 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[746]) ).

thf(760,plain,
    ! [SV37: $i,SV24: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV24 @ SV37 )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[747]) ).

thf(761,plain,
    ! [SV25: $i,SV16: $i,SV15: $i > $i > $o,SV14: $i,SV42: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SY72: $i] : ( SV13 @ SV42 @ SY72 ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV16 @ SV25 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[748]) ).

thf(762,plain,
    ! [SV38: $i,SV26: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV26 @ SV38 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[749]) ).

thf(763,plain,
    ! [SV39: $i,SV27: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV27 @ SV39 )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[750]) ).

thf(764,plain,
    ! [SV28: $i,SV17: $i,SV15: $i > $i > $o,SV14: $i,SV43: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SY73: $i] : ( SV13 @ SV43 @ SY73 ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV17 @ SV28 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[751]) ).

thf(765,plain,
    ! [SV40: $i,SV29: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV29 @ SV40 )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[752]) ).

thf(766,plain,
    ! [SV30: $i,SV18: $i,SV15: $i > $i > $o,SV14: $i,SV44: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SY74: $i] : ( SV13 @ SV44 @ SY74 ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV18 @ SV30 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[753]) ).

thf(767,plain,
    ! [SV41: $i,SV31: $i,SV15: $i > $i > $o,SV14: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV13 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV31 @ SV41 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[754]) ).

thf(768,plain,
    ! [SV32: $i,SV19: $i,SV15: $i > $i > $o,SV14: $i,SV45: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SY75: $i] : ( SV13 @ SV45 @ SY75 ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV19 @ SV32 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[755]) ).

thf(769,plain,
    ! [SV33: $i,SV20: $i,SV15: $i > $i > $o,SV14: $i,SV46: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SY76: $i] : ( SV13 @ SV46 @ SY76 ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV20 @ SV33 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[756]) ).

thf(770,plain,
    ! [SV34: $i,SV21: $i,SV15: $i > $i > $o,SV14: $i,SV47: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SY77: $i] : ( SV13 @ SV47 @ SY77 ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV21 @ SV34 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[757]) ).

thf(771,plain,
    ! [SV35: $i,SV22: $i,SV15: $i > $i > $o,SV14: $i,SV48: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SY78: $i] : ( SV13 @ SV48 @ SY78 ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV22 @ SV35 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[758]) ).

thf(772,plain,
    ! [SV36: $i,SV23: $i,SV15: $i > $i > $o,SV14: $i,SV49: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SY79: $i] : ( SV13 @ SV49 @ SY79 ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV23 @ SV36 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[759]) ).

thf(773,plain,
    ! [SV37: $i,SV24: $i,SV15: $i > $i > $o,SV14: $i,SV50: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SY80: $i] : ( SV13 @ SV50 @ SY80 ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV24 @ SV37 )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[760]) ).

thf(774,plain,
    ! [SV25: $i,SV16: $i,SV15: $i > $i > $o,SV14: $i,SV51: $i,SV42: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV42 @ SV51 )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV16 @ SV25 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[761]) ).

thf(775,plain,
    ! [SV38: $i,SV26: $i,SV15: $i > $i > $o,SV14: $i,SV52: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SY81: $i] : ( SV13 @ SV52 @ SY81 ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV26 @ SV38 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[762]) ).

thf(776,plain,
    ! [SV39: $i,SV27: $i,SV15: $i > $i > $o,SV14: $i,SV53: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SY82: $i] : ( SV13 @ SV53 @ SY82 ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV27 @ SV39 )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[763]) ).

thf(777,plain,
    ! [SV28: $i,SV17: $i,SV15: $i > $i > $o,SV14: $i,SV54: $i,SV43: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV43 @ SV54 )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV17 @ SV28 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[764]) ).

thf(778,plain,
    ! [SV40: $i,SV29: $i,SV15: $i > $i > $o,SV14: $i,SV55: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SY83: $i] : ( SV13 @ SV55 @ SY83 ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV29 @ SV40 )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[765]) ).

thf(779,plain,
    ! [SV30: $i,SV18: $i,SV15: $i > $i > $o,SV14: $i,SV56: $i,SV44: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV44 @ SV56 )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV18 @ SV30 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[766]) ).

thf(780,plain,
    ! [SV41: $i,SV31: $i,SV15: $i > $i > $o,SV14: $i,SV57: $i,SV13: $i > $i > $o] :
      ( ( ( ! [SY84: $i] : ( SV13 @ SV57 @ SY84 ) )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV31 @ SV41 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[767]) ).

thf(781,plain,
    ! [SV32: $i,SV19: $i,SV15: $i > $i > $o,SV14: $i,SV58: $i,SV45: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV45 @ SV58 )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV19 @ SV32 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[768]) ).

thf(782,plain,
    ! [SV33: $i,SV20: $i,SV15: $i > $i > $o,SV14: $i,SV59: $i,SV46: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV46 @ SV59 )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV20 @ SV33 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[769]) ).

thf(783,plain,
    ! [SV34: $i,SV21: $i,SV15: $i > $i > $o,SV14: $i,SV60: $i,SV47: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV47 @ SV60 )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV21 @ SV34 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[770]) ).

thf(784,plain,
    ! [SV35: $i,SV22: $i,SV15: $i > $i > $o,SV14: $i,SV61: $i,SV48: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV48 @ SV61 )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV22 @ SV35 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[771]) ).

thf(785,plain,
    ! [SV36: $i,SV23: $i,SV15: $i > $i > $o,SV14: $i,SV62: $i,SV49: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV49 @ SV62 )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV23 @ SV36 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[772]) ).

thf(786,plain,
    ! [SV37: $i,SV24: $i,SV15: $i > $i > $o,SV14: $i,SV63: $i,SV50: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV50 @ SV63 )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV24 @ SV37 )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[773]) ).

thf(787,plain,
    ! [SV38: $i,SV26: $i,SV15: $i > $i > $o,SV14: $i,SV64: $i,SV52: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV52 @ SV64 )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV26 @ SV38 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[775]) ).

thf(788,plain,
    ! [SV39: $i,SV27: $i,SV15: $i > $i > $o,SV14: $i,SV65: $i,SV53: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV53 @ SV65 )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV27 @ SV39 )
        = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[776]) ).

thf(789,plain,
    ! [SV40: $i,SV29: $i,SV15: $i > $i > $o,SV14: $i,SV66: $i,SV55: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV55 @ SV66 )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV29 @ SV40 )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[778]) ).

thf(790,plain,
    ! [SV41: $i,SV31: $i,SV15: $i > $i > $o,SV14: $i,SV67: $i,SV57: $i,SV13: $i > $i > $o] :
      ( ( ( SV13 @ SV57 @ SV67 )
        = $true )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV15 @ SV31 @ SV41 )
        = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[780]) ).

thf(791,plain,
    ! [SV63: $i,SV50: $i,SV13: $i > $i > $o,SV14: $i,SV37: $i,SV24: $i,SV15: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true )
      | ( ( SV15 @ SV24 @ SV37 )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV50 @ SV63 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[786]) ).

thf(792,plain,
    ! [SV65: $i,SV53: $i,SV13: $i > $i > $o,SV14: $i,SV39: $i,SV27: $i,SV15: $i > $i > $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true )
      | ( ( SV15 @ SV27 @ SV39 )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV53 @ SV65 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[788]) ).

thf(793,plain,
    ! [SV66: $i,SV55: $i,SV13: $i > $i > $o,SV14: $i,SV40: $i,SV29: $i,SV15: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true )
      | ( ( SV15 @ SV29 @ SV40 )
        = $true )
      | ( ( SV15 @ SV14 @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV14 @ lAnna_THFTYPE_i )
        = $false )
      | ( ( SV13 @ SV55 @ SV66 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[789]) ).

thf(794,plain,
    ! [SV68: $o,SV69: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV69 @ SV68 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV69 @ ~ SV68 )
        = $false ) ),
    inference(rename,[status(thm)],[172]) ).

thf(805,plain,
    ! [SV68: $o,SV69: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV69 @ ~ SV68 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV69 @ SV68 )
        = $false ) ),
    inference(res,[status(thm)],[794,130]) ).

thf(806,plain,
    ! [SV68: $o,SV69: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV69 @ SV68 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV69 @ ~ SV68 )
        = $false ) ),
    inference(res,[status(thm)],[794,130]) ).

thf(807,plain,
    ! [SV68: $o,SV69: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV69 @ ~ SV68 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
            @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV69 @ SV68 )
        = $false ) ),
    inference(res,[status(thm)],[794,127]) ).

thf(808,plain,
    ! [SV68: $o,SV69: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV69 @ SV68 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
            @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV69 @ ~ SV68 )
        = $false ) ),
    inference(res,[status(thm)],[794,127]) ).

thf(809,plain,
    ! [SV68: $o,SV69: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV69 @ ~ SV68 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
            @ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV69 @ SV68 )
        = $false ) ),
    inference(res,[status(thm)],[794,125]) ).

thf(810,plain,
    ! [SV68: $o,SV69: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV69 @ SV68 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
            @ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV69 @ ~ SV68 )
        = $false ) ),
    inference(res,[status(thm)],[794,125]) ).

thf(811,plain,
    ! [SV68: $o,SV69: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV69 @ ~ SV68 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV69 @ SV68 )
        = $false ) ),
    inference(res,[status(thm)],[794,123]) ).

thf(812,plain,
    ! [SV68: $o,SV69: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV69 @ SV68 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV69 @ ~ SV68 )
        = $false ) ),
    inference(res,[status(thm)],[794,123]) ).

thf(813,plain,
    ! [SV68: $o,SV69: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV69 @ ~ SV68 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
            @ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV69 @ SV68 )
        = $false ) ),
    inference(res,[status(thm)],[794,121]) ).

thf(814,plain,
    ! [SV68: $o,SV69: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV69 @ SV68 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
            @ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV69 @ ~ SV68 )
        = $false ) ),
    inference(res,[status(thm)],[794,121]) ).

thf(815,plain,
    ! [SV68: $o,SV69: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV69 @ ~ SV68 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV69 @ SV68 )
        = $false ) ),
    inference(res,[status(thm)],[794,119]) ).

thf(816,plain,
    ! [SV68: $o,SV69: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV69 @ SV68 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV69 @ ~ SV68 )
        = $false ) ),
    inference(res,[status(thm)],[794,119]) ).

thf(817,plain,
    ! [SV68: $o,SV69: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV69 @ ~ SV68 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV69 @ SV68 )
        = $false ) ),
    inference(res,[status(thm)],[794,117]) ).

thf(818,plain,
    ! [SV68: $o,SV69: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV69 @ SV68 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV69 @ ~ SV68 )
        = $false ) ),
    inference(res,[status(thm)],[794,117]) ).

thf(819,plain,
    ! [SV68: $o,SV69: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV69 @ ~ SV68 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV69 @ SV68 )
        = $false ) ),
    inference(res,[status(thm)],[794,115]) ).

thf(820,plain,
    ! [SV68: $o,SV69: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV69 @ SV68 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV69 @ ~ SV68 )
        = $false ) ),
    inference(res,[status(thm)],[794,115]) ).

thf(821,plain,
    ! [SV68: $o,SV69: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV69 @ ~ SV68 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV69 @ SV68 )
        = $false ) ),
    inference(res,[status(thm)],[794,113]) ).

thf(822,plain,
    ! [SV68: $o,SV69: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV69 @ SV68 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV69 @ ~ SV68 )
        = $false ) ),
    inference(res,[status(thm)],[794,113]) ).

thf(823,plain,
    ! [SV68: $o,SV69: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV69 @ ~ SV68 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV69 @ SV68 )
        = $false ) ),
    inference(res,[status(thm)],[794,111]) ).

thf(824,plain,
    ! [SV68: $o,SV69: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV69 @ SV68 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV69 @ ~ SV68 )
        = $false ) ),
    inference(res,[status(thm)],[794,111]) ).

thf(826,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
    = $false ),
    inference(extuni,[status(esa)],[824:[bind(SV68,$thf( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )),bind(SV69,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(827,plain,
    ! [SV68: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV68 )
        = $false )
      | ( ( ~ SV68 ) = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[823:[bind(SV69,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(828,plain,
    ! [SV68: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV68 )
        = $false )
      | ( ( ~ SV68 ) = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[823:[bind(SV69,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(829,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
    = $false ),
    inference(extuni,[status(esa)],[822:[bind(SV68,$thf( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )),bind(SV69,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(830,plain,
    ! [SV68: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV68 )
        = $false )
      | ( ( ~ SV68 ) = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[821:[bind(SV69,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(831,plain,
    ! [SV68: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV68 )
        = $false )
      | ( ( ~ SV68 ) = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[821:[bind(SV69,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(832,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
    = $false ),
    inference(extuni,[status(esa)],[820:[bind(SV68,$thf( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )),bind(SV69,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(833,plain,
    ! [SV68: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV68 )
        = $false )
      | ( ( ~ SV68 ) = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[819:[bind(SV69,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(834,plain,
    ! [SV68: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV68 )
        = $false )
      | ( ( ~ SV68 ) = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[819:[bind(SV69,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(835,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) )
    = $false ),
    inference(extuni,[status(esa)],[818:[bind(SV68,$thf( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )),bind(SV69,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(836,plain,
    ! [SV68: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV68 )
        = $false )
      | ( ( ~ SV68 ) = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[817:[bind(SV69,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(837,plain,
    ! [SV68: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV68 )
        = $false )
      | ( ( ~ SV68 ) = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[817:[bind(SV69,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(838,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
    = $false ),
    inference(extuni,[status(esa)],[816:[bind(SV68,$thf( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )),bind(SV69,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(839,plain,
    ! [SV68: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV68 )
        = $false )
      | ( ( ~ SV68 ) = $true )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[815:[bind(SV69,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(840,plain,
    ! [SV68: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV68 )
        = $false )
      | ( ( ~ SV68 ) = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[815:[bind(SV69,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(841,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
    = $false ),
    inference(extuni,[status(esa)],[814:[bind(SV68,$thf( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )),bind(SV69,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(842,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
    = $false ),
    inference(extuni,[status(esa)],[813:[bind(SV68,$thf( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )),bind(SV69,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(843,plain,
    ! [SV68: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV68 )
        = $false )
      | ( ( ~ SV68 ) = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extuni,[status(esa)],[813:[bind(SV69,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(844,plain,
    ! [SV68: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV68 )
        = $false )
      | ( ( ~ SV68 ) = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[813:[bind(SV69,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(845,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
    = $false ),
    inference(extuni,[status(esa)],[812:[bind(SV68,$thf( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )),bind(SV69,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(846,plain,
    ! [SV68: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV68 )
        = $false )
      | ( ( ~ SV68 ) = $true )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[811:[bind(SV69,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(847,plain,
    ! [SV68: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV68 )
        = $false )
      | ( ( ~ SV68 ) = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[811:[bind(SV69,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(848,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
    = $false ),
    inference(extuni,[status(esa)],[810:[bind(SV68,$thf( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )),bind(SV69,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(849,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
    = $false ),
    inference(extuni,[status(esa)],[809:[bind(SV68,$thf( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )),bind(SV69,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(850,plain,
    ! [SV68: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV68 )
        = $false )
      | ( ( ~ SV68 ) = $true )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extuni,[status(esa)],[809:[bind(SV69,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(851,plain,
    ! [SV68: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV68 )
        = $false )
      | ( ( ~ SV68 ) = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[809:[bind(SV69,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(852,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
    = $false ),
    inference(extuni,[status(esa)],[808:[bind(SV68,$thf( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )),bind(SV69,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(853,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
    = $false ),
    inference(extuni,[status(esa)],[807:[bind(SV68,$thf( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )),bind(SV69,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(854,plain,
    ! [SV68: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV68 )
        = $false )
      | ( ( ~ SV68 ) = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extuni,[status(esa)],[807:[bind(SV69,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(855,plain,
    ! [SV68: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV68 )
        = $false )
      | ( ( ~ SV68 ) = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[807:[bind(SV69,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(856,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
    = $false ),
    inference(extuni,[status(esa)],[806:[bind(SV68,$thf( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )),bind(SV69,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(857,plain,
    ! [SV68: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV68 )
        = $false )
      | ( ( ~ SV68 ) = $true )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[805:[bind(SV69,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(858,plain,
    ! [SV68: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV68 )
        = $false )
      | ( ( ~ SV68 ) = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[805:[bind(SV69,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(859,plain,
    ! [SV68: $o] :
      ( ( SV68 = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV68 )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[828]) ).

thf(860,plain,
    ! [SV68: $o] :
      ( ( SV68 = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV68 )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[827]) ).

thf(861,plain,
    ! [SV68: $o] :
      ( ( SV68 = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV68 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[831]) ).

thf(862,plain,
    ! [SV68: $o] :
      ( ( SV68 = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV68 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[830]) ).

thf(863,plain,
    ! [SV68: $o] :
      ( ( SV68 = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV68 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[834]) ).

thf(864,plain,
    ! [SV68: $o] :
      ( ( SV68 = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV68 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[833]) ).

thf(865,plain,
    ! [SV68: $o] :
      ( ( SV68 = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV68 )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[837]) ).

thf(866,plain,
    ! [SV68: $o] :
      ( ( SV68 = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV68 )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[836]) ).

thf(867,plain,
    ! [SV68: $o] :
      ( ( SV68 = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV68 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[840]) ).

thf(868,plain,
    ! [SV68: $o] :
      ( ( SV68 = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV68 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[839]) ).

thf(869,plain,
    ! [SV68: $o] :
      ( ( SV68 = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV68 )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[844]) ).

thf(870,plain,
    ! [SV68: $o] :
      ( ( SV68 = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV68 )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[843]) ).

thf(871,plain,
    ! [SV68: $o] :
      ( ( SV68 = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV68 )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[847]) ).

thf(872,plain,
    ! [SV68: $o] :
      ( ( SV68 = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV68 )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[846]) ).

thf(873,plain,
    ! [SV68: $o] :
      ( ( SV68 = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV68 )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[851]) ).

thf(874,plain,
    ! [SV68: $o] :
      ( ( SV68 = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV68 )
        = $false )
      | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[850]) ).

thf(875,plain,
    ! [SV68: $o] :
      ( ( SV68 = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV68 )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[855]) ).

thf(876,plain,
    ! [SV68: $o] :
      ( ( SV68 = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV68 )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[854]) ).

thf(877,plain,
    ! [SV68: $o] :
      ( ( SV68 = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV68 )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[858]) ).

thf(878,plain,
    ! [SV68: $o] :
      ( ( SV68 = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV68 )
        = $false )
      | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[857]) ).

thf(879,plain,
    ! [SV68: $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV68 )
        = $false )
      | ( SV68 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[869]) ).

thf(880,plain,
    ! [SV68: $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV68 )
        = $false )
      | ( SV68 = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[870]) ).

thf(881,plain,
    ! [SV68: $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV68 )
        = $false )
      | ( SV68 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[873]) ).

thf(882,plain,
    ! [SV68: $o] :
      ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV68 )
        = $false )
      | ( SV68 = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[874]) ).

thf(883,plain,
    ! [SV68: $o] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV68 )
        = $false )
      | ( SV68 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[875]) ).

thf(884,plain,
    ! [SV68: $o] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV68 )
        = $false )
      | ( SV68 = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[876]) ).

thf(890,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[826,130]) ).

thf(891,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[826,127]) ).

thf(892,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[826,125]) ).

thf(893,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[826,123]) ).

thf(894,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[826,121]) ).

thf(895,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[826,119]) ).

thf(896,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[826,117]) ).

thf(897,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[826,115]) ).

thf(898,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[826,113]) ).

thf(902,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[898]) ).

thf(903,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[898]) ).

thf(904,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[897]) ).

thf(905,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[897]) ).

thf(906,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[896]) ).

thf(907,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[896]) ).

thf(908,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[895]) ).

thf(909,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[895]) ).

thf(910,plain,
    ( ( ( lBen_THFTYPE_i = lAnna_THFTYPE_i )
      = $false )
    | ( ( lMary_THFTYPE_i = lBob_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[894]) ).

thf(911,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[894]) ).

thf(912,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[894]) ).

thf(913,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true ) ),
    inference(extuni,[status(esa)],[894]) ).

thf(914,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false ) ),
    inference(extuni,[status(esa)],[894]) ).

thf(915,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[893]) ).

thf(916,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[893]) ).

thf(917,plain,
    ( ( lMary_THFTYPE_i = lBob_THFTYPE_i )
    = $false ),
    inference(extuni,[status(esa)],[892]) ).

thf(918,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[892]) ).

thf(919,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[892]) ).

thf(920,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true ) ),
    inference(extuni,[status(esa)],[892]) ).

thf(921,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false ) ),
    inference(extuni,[status(esa)],[892]) ).

thf(922,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[891]) ).

thf(923,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[891]) ).

thf(924,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true )
    | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $true ) ),
    inference(extuni,[status(esa)],[891]) ).

thf(925,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false )
    | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $false ) ),
    inference(extuni,[status(esa)],[891]) ).

thf(926,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[890]) ).

thf(927,plain,
    ( ( ( ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[890]) ).

thf(930,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[903]) ).

thf(931,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[902]) ).

thf(932,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[905]) ).

thf(933,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[904]) ).

thf(934,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[907]) ).

thf(935,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[906]) ).

thf(936,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[909]) ).

thf(937,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[908]) ).

thf(938,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[914]) ).

thf(939,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[913]) ).

thf(940,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[916]) ).

thf(941,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[915]) ).

thf(942,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[921]) ).

thf(943,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[920]) ).

thf(944,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[925]) ).

thf(945,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[924]) ).

thf(946,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[927]) ).

thf(947,plain,
    ( ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[926]) ).

thf(948,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[938]) ).

thf(949,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[939]) ).

thf(950,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[942]) ).

thf(951,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[943]) ).

thf(952,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[944]) ).

thf(953,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[945]) ).

thf(959,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[829,130]) ).

thf(960,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[829,127]) ).

thf(961,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[829,125]) ).

thf(962,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[829,123]) ).

thf(963,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[829,121]) ).

thf(964,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[829,119]) ).

thf(965,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[829,117]) ).

thf(966,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[829,115]) ).

thf(968,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[829,111]) ).

thf(969,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[968]) ).

thf(970,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[968]) ).

thf(973,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[966]) ).

thf(974,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[966]) ).

thf(975,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[965]) ).

thf(976,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[965]) ).

thf(977,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[964]) ).

thf(978,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[964]) ).

thf(979,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[963]) ).

thf(980,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[963]) ).

thf(981,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $true )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true ) ),
    inference(extuni,[status(esa)],[963]) ).

thf(982,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $false )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false ) ),
    inference(extuni,[status(esa)],[963]) ).

thf(983,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[962]) ).

thf(984,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[962]) ).

thf(985,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[961]) ).

thf(986,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[961]) ).

thf(987,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $true )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true ) ),
    inference(extuni,[status(esa)],[961]) ).

thf(988,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $false )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false ) ),
    inference(extuni,[status(esa)],[961]) ).

thf(989,plain,
    ( ( lBill_THFTYPE_i = lMary_THFTYPE_i )
    = $false ),
    inference(extuni,[status(esa)],[960]) ).

thf(990,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[960]) ).

thf(991,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[960]) ).

thf(992,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $true )
    | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $true ) ),
    inference(extuni,[status(esa)],[960]) ).

thf(993,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $false )
    | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $false ) ),
    inference(extuni,[status(esa)],[960]) ).

thf(994,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[959]) ).

thf(995,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[959]) ).

thf(996,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[970]) ).

thf(997,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[969]) ).

thf(1000,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[974]) ).

thf(1001,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[973]) ).

thf(1002,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[976]) ).

thf(1003,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[975]) ).

thf(1004,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[978]) ).

thf(1005,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[977]) ).

thf(1006,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[982]) ).

thf(1007,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[981]) ).

thf(1008,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[984]) ).

thf(1009,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[983]) ).

thf(1010,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[988]) ).

thf(1011,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false )
    | ( ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[987]) ).

thf(1012,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true )
    | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[993]) ).

thf(1013,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false )
    | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[992]) ).

thf(1014,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[995]) ).

thf(1015,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false )
    | ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[994]) ).

thf(1016,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1006]) ).

thf(1017,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1007]) ).

thf(1018,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1010]) ).

thf(1019,plain,
    ( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1011]) ).

thf(1020,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1012]) ).

thf(1021,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1013]) ).

thf(1022,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[111,1021,1020,1019,1018,1017,1016,1015,1014,1009,1008,1005,1004,1003,1002,1001,1000,997,996,991,990,989,986,985,980,979,953,952,951,950,949,948,947,946,941,940,937,936,935,934,933,932,931,930,923,922,919,918,917,912,911,910,884,883,882,881,880,879,878,877,872,871,868,867,866,865,864,863,862,861,860,859,856,853,852,849,848,845,842,841,838,835,832,829,826,794,793,792,791,790,787,785,784,783,782,781,779,777,774,687,686,685,682,681,680,676,675,674,667,666,665,653,652,651,644,643,642,640,639,638,636,635,634,632,631,630,628,627,626,619,618,617,611,610,609,599,598,597,565,557,546,527,509,498,494,490,486,482,473,465,453,236,235,234,233,190,189,188,174,173,137,136,135,134,133,130,127,125,123,121,119,117,115,113]) ).

thf(1023,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[1022]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR131^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04  % Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.18  % Computer : n015.cluster.edu
% 0.07/0.18  % Model    : x86_64 x86_64
% 0.07/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18  % Memory   : 8046.5625MB
% 0.07/0.18  % OS       : Linux 6.8.0-71-generic
% 0.07/0.18  % CPULimit : 300
% 0.07/0.18  % WCLimit  : 300
% 0.07/0.18  % DateTime : Tue Oct  6 18:58:58 UTC 2026
% 0.07/0.19  % CPUTime  : 
% 0.07/0.19  Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.18/0.94  
% 4.18/0.94   No.of.Axioms: 27
% 4.18/0.94  
% 4.18/0.94   Length.of.Defs: 0
% 4.18/0.94  
% 4.18/0.94   Contains.Choice.Funs: false
% 4.18/0.94  ...................
% 4.18/0.94  
% 4.18/0.94  ********************************
% 4.18/0.94  *   All subproblems solved!    *
% 4.18/0.94  ********************************
% 4.18/0.94  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:27,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:1022,loop_count:30,foatp_calls:8,translation:fof_full)
% 4.18/0.94  
% 4.18/0.94  %**** Beginning of derivation protocol ****
% 4.18/0.94  % SZS output start CNFRefutation
% See solution above
% 4.18/0.95  
% 4.18/0.95  %**** End of derivation protocol ****
% 4.18/0.95  %**** no. of clauses in derivation: 885 ****
% 4.18/0.95  %**** clause counter: 1022 ****
% 4.18/0.95  
% 4.18/0.95  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:27,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:1022,loop_count:30,foatp_calls:8,translation:fof_full)
%------------------------------------------------------------------------------