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

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%------------------------------------------------------------------------------
% File     : LEO-II---2.3.1
% Problem  : CSR148^2 : 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/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n016.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 10:16:16 AM UTC 2026

% Result   : Theorem 0.86s 0.49s
% Output   : CNFRefutation 0.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   23
% Syntax   : Number of formulae    :  187 (  94 unt;   0 typ;   0 def)
%            Number of atoms       : 1015 ( 278 equ;   0 cnn)
%            Maximal formula atoms :    3 (   5 avg)
%            Number of connectives : 1092 ( 226   ~; 173   |;   2   &; 677   @)
%                                         (   0 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   91 (  88 usr;  50 con; 0-3 aty)
%            Number of variables   :  237 (   0   ^; 229   !;   8   ?; 237   :)

% 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_disjointRelation_THFTYPE_IiioI,type,
    disjointRelation_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_disjoint_THFTYPE_IiioI,type,
    disjoint_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_documentation_THFTYPE_i,type,
    documentation_THFTYPE_i: $i ).

thf(tp_domainSubclass_THFTYPE_IIiioIiioI,type,
    domainSubclass_THFTYPE_IIiioIiioI: ( $i > $i > $o ) > $i > $i > $o ).

thf(tp_domainSubclass_THFTYPE_IiiioI,type,
    domainSubclass_THFTYPE_IiiioI: $i > $i > $i > $o ).

thf(tp_domain_THFTYPE_IIIiioIIiioIoIiioI,type,
    domain_THFTYPE_IIIiioIIiioIoIiioI: ( ( $i > $i > $o ) > ( $i > $i > $o ) > $o ) > $i > $i > $o ).

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

thf(tp_domain_THFTYPE_IIiiioIiioI,type,
    domain_THFTYPE_IIiiioIiioI: ( $i > $i > $i > $o ) > $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_duration_THFTYPE_IiioI,type,
    duration_THFTYPE_IiioI: $i > $i > $o ).

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

thf(tp_greaterThan_THFTYPE_i,type,
    greaterThan_THFTYPE_i: $i ).

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

thf(tp_instance_THFTYPE_IIIiioIiioIioI,type,
    instance_THFTYPE_IIIiioIiioIioI: ( ( $i > $i > $o ) > $i > $i > $o ) > $i > $o ).

thf(tp_instance_THFTYPE_IIiiIioI,type,
    instance_THFTYPE_IIiiIioI: ( $i > $i ) > $i > $o ).

thf(tp_instance_THFTYPE_IIiiiIioI,type,
    instance_THFTYPE_IIiiiIioI: ( $i > $i > $i ) > $i > $o ).

thf(tp_instance_THFTYPE_IIiiioIioI,type,
    instance_THFTYPE_IIiiioIioI: ( $i > $i > $i > $o ) > $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_instrument_THFTYPE_i,type,
    instrument_THFTYPE_i: $i ).

thf(tp_lAdditionFn_THFTYPE_i,type,
    lAdditionFn_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_lBill_THFTYPE_i,type,
    lBill_THFTYPE_i: $i ).

thf(tp_lBinaryFunction_THFTYPE_i,type,
    lBinaryFunction_THFTYPE_i: $i ).

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

thf(tp_lCardinalityFn_THFTYPE_IiiI,type,
    lCardinalityFn_THFTYPE_IiiI: $i > $i ).

thf(tp_lDayDuration_THFTYPE_i,type,
    lDayDuration_THFTYPE_i: $i ).

thf(tp_lDay_THFTYPE_i,type,
    lDay_THFTYPE_i: $i ).

thf(tp_lEndFn_THFTYPE_IiiI,type,
    lEndFn_THFTYPE_IiiI: $i > $i ).

thf(tp_lEntity_THFTYPE_i,type,
    lEntity_THFTYPE_i: $i ).

thf(tp_lInheritableRelation_THFTYPE_i,type,
    lInheritableRelation_THFTYPE_i: $i ).

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

thf(tp_lIrreflexiveRelation_THFTYPE_i,type,
    lIrreflexiveRelation_THFTYPE_i: $i ).

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

thf(tp_lMeasureFn_THFTYPE_IiiiI,type,
    lMeasureFn_THFTYPE_IiiiI: $i > $i > $i ).

thf(tp_lMonthFn_THFTYPE_i,type,
    lMonthFn_THFTYPE_i: $i ).

thf(tp_lMonth_THFTYPE_i,type,
    lMonth_THFTYPE_i: $i ).

thf(tp_lMultiplicationFn_THFTYPE_i,type,
    lMultiplicationFn_THFTYPE_i: $i ).

thf(tp_lObject_THFTYPE_i,type,
    lObject_THFTYPE_i: $i ).

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

thf(tp_lQuantity_THFTYPE_i,type,
    lQuantity_THFTYPE_i: $i ).

thf(tp_lRelationExtendedToQuantities_THFTYPE_i,type,
    lRelationExtendedToQuantities_THFTYPE_i: $i ).

thf(tp_lRelation_THFTYPE_i,type,
    lRelation_THFTYPE_i: $i ).

thf(tp_lSetOrClass_THFTYPE_i,type,
    lSetOrClass_THFTYPE_i: $i ).

thf(tp_lSubtractionFn_THFTYPE_i,type,
    lSubtractionFn_THFTYPE_i: $i ).

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

thf(tp_lTemporalCompositionFn_THFTYPE_IiiiI,type,
    lTemporalCompositionFn_THFTYPE_IiiiI: $i > $i > $i ).

thf(tp_lTemporalCompositionFn_THFTYPE_i,type,
    lTemporalCompositionFn_THFTYPE_i: $i ).

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

thf(tp_lTernaryPredicate_THFTYPE_i,type,
    lTernaryPredicate_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_lTransitiveRelation_THFTYPE_i,type,
    lTransitiveRelation_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_lYearFn_THFTYPE_i,type,
    lYearFn_THFTYPE_i: $i ).

thf(tp_lYear_THFTYPE_i,type,
    lYear_THFTYPE_i: $i ).

thf(tp_lessThan_THFTYPE_i,type,
    lessThan_THFTYPE_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_minus_THFTYPE_IiiiI,type,
    minus_THFTYPE_IiiiI: $i > $i > $i ).

thf(tp_n12_THFTYPE_i,type,
    n12_THFTYPE_i: $i ).

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_n3_THFTYPE_i,type,
    n3_THFTYPE_i: $i ).

thf(tp_orientation_THFTYPE_i,type,
    orientation_THFTYPE_i: $i ).

thf(tp_part_THFTYPE_IiioI,type,
    part_THFTYPE_IiioI: $i > $i > $o ).

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

thf(tp_rangeSubclass_THFTYPE_IiioI,type,
    rangeSubclass_THFTYPE_IiioI: $i > $i > $o ).

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

thf(tp_relatedInternalConcept_THFTYPE_IIiioIIiioIoI,type,
    relatedInternalConcept_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).

thf(tp_relatedInternalConcept_THFTYPE_IiIiiIoI,type,
    relatedInternalConcept_THFTYPE_IiIiiIoI: $i > ( $i > $i ) > $o ).

thf(tp_relatedInternalConcept_THFTYPE_IiioI,type,
    relatedInternalConcept_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_result_THFTYPE_i,type,
    result_THFTYPE_i: $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_IIiiIioI @ lWhenFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_190) ).

thf(16,axiom,
    instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lAsymmetricRelation_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_176) ).

thf(34,axiom,
    instance_THFTYPE_IIiiIioI @ lYearFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_158) ).

thf(42,axiom,
    instance_THFTYPE_IIiiIioI @ lEndFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_150) ).

thf(44,axiom,
    instance_THFTYPE_IIiiIioI @ lEndFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_148) ).

thf(52,axiom,
    instance_THFTYPE_IIiiIioI @ lBeginFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_140) ).

thf(59,axiom,
    instance_THFTYPE_IIiioIioI @ temporalPart_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_133) ).

thf(61,axiom,
    instance_THFTYPE_IIiiIioI @ lCardinalityFn_THFTYPE_IiiI @ lAsymmetricRelation_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_131) ).

thf(63,axiom,
    relatedInternalConcept_THFTYPE_IiIiiIoI @ lYear_THFTYPE_i @ lYearFn_THFTYPE_IiiI,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_129) ).

thf(73,axiom,
    instance_THFTYPE_IIiioIioI @ temporalPart_THFTYPE_IiioI @ lTemporalRelation_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_119) ).

thf(75,axiom,
    instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_117) ).

thf(82,axiom,
    instance_THFTYPE_IIiiIioI @ lBeginFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_110) ).

thf(99,axiom,
    instance_THFTYPE_IIiiIioI @ lCardinalityFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_093) ).

thf(103,axiom,
    instance_THFTYPE_IIiiIioI @ lWhenFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_089) ).

thf(105,axiom,
    instance_THFTYPE_IIiiIioI @ lYearFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_087) ).

thf(164,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/sandbox/benchmark/theBenchmark.p',ax_028) ).

thf(167,axiom,
    likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_025) ).

thf(168,axiom,
    ! [TIME: $i,SITUATION: $o] :
      ( ( holdsDuring_THFTYPE_IiooI @ TIME @ ~ SITUATION )
     => ~ ( holdsDuring_THFTYPE_IiooI @ TIME @ SITUATION ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_024) ).

thf(184,axiom,
    ! [P: $o,Y: $i] :
      ( P
     => ( holdsDuring_THFTYPE_IiooI @ Y @ P ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_008) ).

thf(185,axiom,
    ! [P: $o,Y: $i] :
      ( P
     => ( holdsDuring_THFTYPE_IiooI @ Y @ P ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_007) ).

thf(187,axiom,
    ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
    @ ! [X: $i] :
        ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X )
       => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_005) ).

thf(188,axiom,
    ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
    @ ! [X: $i] :
        ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X )
       => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_004) ).

thf(193,conjecture,
    ? [X: $i,Y: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ Y ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

thf(194,negated_conjecture,
    ( ( ? [X: $i,Y: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ Y ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[193]) ).

thf(195,plain,
    ( ( ? [X: $i,Y: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ Y ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[194]) ).

thf(196,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lWhenFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(197,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lEndFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[42]) ).

thf(198,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lEndFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[44]) ).

thf(199,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lBeginFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[52]) ).

thf(200,plain,
    ( ( instance_THFTYPE_IIiioIioI @ temporalPart_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[59]) ).

thf(201,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lCardinalityFn_THFTYPE_IiiI @ lAsymmetricRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[61]) ).

thf(202,plain,
    ( ( instance_THFTYPE_IIiioIioI @ temporalPart_THFTYPE_IiioI @ lTemporalRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[73]) ).

thf(203,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lBeginFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[82]) ).

thf(204,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lCardinalityFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[99]) ).

thf(205,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lWhenFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[103]) ).

thf(206,plain,
    ( ( instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lAsymmetricRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[16]) ).

thf(207,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lYearFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[34]) ).

thf(208,plain,
    ( ( relatedInternalConcept_THFTYPE_IiIiiIoI @ lYear_THFTYPE_i @ lYearFn_THFTYPE_IiiI )
    = $true ),
    inference(unfold_def,[status(thm)],[63]) ).

thf(209,plain,
    ( ( instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[75]) ).

thf(210,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lYearFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[105]) ).

thf(211,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)],[164]) ).

thf(212,plain,
    ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[167]) ).

thf(213,plain,
    ( ( ! [TIME: $i,SITUATION: $o] :
          ( ( holdsDuring_THFTYPE_IiooI @ TIME @ ~ SITUATION )
         => ~ ( holdsDuring_THFTYPE_IiooI @ TIME @ SITUATION ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[168]) ).

thf(214,plain,
    ( ( ! [P: $o,Y: $i] :
          ( P
         => ( holdsDuring_THFTYPE_IiooI @ Y @ P ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[184]) ).

thf(215,plain,
    ( ( ! [P: $o,Y: $i] :
          ( P
         => ( holdsDuring_THFTYPE_IiooI @ Y @ P ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[185]) ).

thf(216,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ! [X: $i] :
          ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X )
         => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[187]) ).

thf(217,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ! [X: $i] :
          ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X )
         => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[188]) ).

thf(218,plain,
    ( ( ~ ? [X: $i,Y: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ Y ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[195]) ).

thf(219,plain,
    ( ( ! [X: $i,Y: $i] :
          ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ Y ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[218]) ).

thf(220,plain,
    ( ( ! [SITUATION: $o,TIME2: $i] :
          ( ! [TIME1: $i] :
              ( ~ ( holdsDuring_THFTYPE_IiooI @ TIME1 @ SITUATION )
              | ~ ( temporalPart_THFTYPE_IiioI @ TIME2 @ TIME1 ) )
          | ( holdsDuring_THFTYPE_IiooI @ TIME2 @ SITUATION ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[211]) ).

thf(221,plain,
    ( ( ! [TIME: $i,SITUATION: $o] :
          ( ~ ( holdsDuring_THFTYPE_IiooI @ TIME @ ~ SITUATION )
          | ~ ( holdsDuring_THFTYPE_IiooI @ TIME @ SITUATION ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[213]) ).

thf(222,plain,
    ( ( ! [P: $o] :
          ( ~ P
          | ! [Y: $i] : ( holdsDuring_THFTYPE_IiooI @ Y @ P ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[214]) ).

thf(223,plain,
    ( ( ! [P: $o] :
          ( ~ P
          | ! [Y: $i] : ( holdsDuring_THFTYPE_IiooI @ Y @ P ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[215]) ).

thf(224,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ! [X: $i] :
          ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X )
         => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[217]) ).

thf(225,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ! [X: $i] :
          ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X )
         => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[216]) ).

thf(226,plain,
    ( ( ! [P: $o] :
          ( ~ P
          | ! [Y: $i] : ( holdsDuring_THFTYPE_IiooI @ Y @ P ) ) )
    = $true ),
    inference(copy,[status(thm)],[223]) ).

thf(227,plain,
    ( ( ! [P: $o] :
          ( ~ P
          | ! [Y: $i] : ( holdsDuring_THFTYPE_IiooI @ Y @ P ) ) )
    = $true ),
    inference(copy,[status(thm)],[222]) ).

thf(228,plain,
    ( ( ! [TIME: $i,SITUATION: $o] :
          ( ~ ( holdsDuring_THFTYPE_IiooI @ TIME @ ~ SITUATION )
          | ~ ( holdsDuring_THFTYPE_IiooI @ TIME @ SITUATION ) ) )
    = $true ),
    inference(copy,[status(thm)],[221]) ).

thf(229,plain,
    ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[212]) ).

thf(230,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)],[220]) ).

thf(231,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lYearFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[210]) ).

thf(232,plain,
    ( ( instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[209]) ).

thf(233,plain,
    ( ( relatedInternalConcept_THFTYPE_IiIiiIoI @ lYear_THFTYPE_i @ lYearFn_THFTYPE_IiiI )
    = $true ),
    inference(copy,[status(thm)],[208]) ).

thf(234,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lYearFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[207]) ).

thf(235,plain,
    ( ( instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lAsymmetricRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[206]) ).

thf(236,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lWhenFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[205]) ).

thf(237,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lCardinalityFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[204]) ).

thf(238,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lBeginFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[203]) ).

thf(239,plain,
    ( ( instance_THFTYPE_IIiioIioI @ temporalPart_THFTYPE_IiioI @ lTemporalRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[202]) ).

thf(240,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lCardinalityFn_THFTYPE_IiiI @ lAsymmetricRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[201]) ).

thf(241,plain,
    ( ( instance_THFTYPE_IIiioIioI @ temporalPart_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[200]) ).

thf(242,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lBeginFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[199]) ).

thf(243,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lEndFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[198]) ).

thf(244,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lEndFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[197]) ).

thf(245,plain,
    ( ( instance_THFTYPE_IIiiIioI @ lWhenFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[196]) ).

thf(246,plain,
    ( ( ! [X: $i,Y: $i] :
          ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ Y ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[219]) ).

thf(247,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ! [SX0: $i] :
          ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SX0 )
          | ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[224]) ).

thf(248,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ! [SX0: $i] :
          ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SX0 )
          | ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[225]) ).

thf(249,plain,
    ! [SV1: $o] :
      ( ( ~ SV1
        | ! [SY13: $i] : ( holdsDuring_THFTYPE_IiooI @ SY13 @ SV1 ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[226]) ).

thf(250,plain,
    ( ( ~ $true
      | ! [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ $true ) )
    = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[226]) ).

thf(252,plain,
    ! [SV2: $o] :
      ( ( ~ SV2
        | ! [SY14: $i] : ( holdsDuring_THFTYPE_IiooI @ SY14 @ SV2 ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[227]) ).

thf(253,plain,
    ( ( ~ $true
      | ! [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ $true ) )
    = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[227]) ).

thf(255,plain,
    ! [SV3: $i] :
      ( ( ! [SY15: $o] :
            ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ SY15 )
            | ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ SY15 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[228]) ).

thf(256,plain,
    ! [SV4: $o] :
      ( ( ! [SY16: $i] :
            ( ! [SY17: $i] :
                ( ~ ( holdsDuring_THFTYPE_IiooI @ SY17 @ SV4 )
                | ~ ( temporalPart_THFTYPE_IiioI @ SY16 @ SY17 ) )
            | ( holdsDuring_THFTYPE_IiooI @ SY16 @ SV4 ) ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[230]) ).

thf(257,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)],[230]) ).

thf(258,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)],[230]) ).

thf(259,plain,
    ! [SV5: $i] :
      ( ( ! [SY18: $i] :
            ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SY18 ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV5 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[246]) ).

thf(260,plain,
    ! [SV1: $o] :
      ( ( ( ~ SV1 ) = $true )
      | ( ( ! [SY13: $i] : ( holdsDuring_THFTYPE_IiooI @ SY13 @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[249]) ).

thf(261,plain,
    ( ( ( ~ $true ) = $true )
    | ( ( ! [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ $true ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[250]) ).

thf(263,plain,
    ! [SV2: $o] :
      ( ( ( ~ SV2 ) = $true )
      | ( ( ! [SY14: $i] : ( holdsDuring_THFTYPE_IiooI @ SY14 @ SV2 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[252]) ).

thf(264,plain,
    ( ( ( ~ $true ) = $true )
    | ( ( ! [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ $true ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[253]) ).

thf(266,plain,
    ! [SV6: $o,SV3: $i] :
      ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ SV6 )
        | ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ SV6 ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[255]) ).

thf(267,plain,
    ! [SV3: $i] :
      ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $true )
        | ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ $true ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[255]) ).

thf(268,plain,
    ! [SV3: $i] :
      ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $false )
        | ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ $false ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[255]) ).

thf(269,plain,
    ! [SV7: $i,SV4: $o] :
      ( ( ! [SY19: $i] :
            ( ~ ( holdsDuring_THFTYPE_IiooI @ SY19 @ SV4 )
            | ~ ( temporalPart_THFTYPE_IiioI @ SV7 @ SY19 ) )
        | ( holdsDuring_THFTYPE_IiooI @ SV7 @ SV4 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[256]) ).

thf(270,plain,
    ! [SV8: $i] :
      ( ( ! [SY20: $i] :
            ( ~ ( holdsDuring_THFTYPE_IiooI @ SY20 @ $true )
            | ~ ( temporalPart_THFTYPE_IiioI @ SV8 @ SY20 ) )
        | ( holdsDuring_THFTYPE_IiooI @ SV8 @ $true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[257]) ).

thf(271,plain,
    ! [SV9: $i] :
      ( ( ! [SY21: $i] :
            ( ~ ( holdsDuring_THFTYPE_IiooI @ SY21 @ $false )
            | ~ ( temporalPart_THFTYPE_IiioI @ SV9 @ SY21 ) )
        | ( holdsDuring_THFTYPE_IiooI @ SV9 @ $false ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[258]) ).

thf(272,plain,
    ! [SV5: $i,SV10: $i] :
      ( ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SV10 ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV5 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[259]) ).

thf(273,plain,
    ! [SV1: $o] :
      ( ( SV1 = $false )
      | ( ( ! [SY13: $i] : ( holdsDuring_THFTYPE_IiooI @ SY13 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[260]) ).

thf(274,plain,
    ( ( $true = $false )
    | ( ( ! [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ $true ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[261]) ).

thf(276,plain,
    ! [SV2: $o] :
      ( ( SV2 = $false )
      | ( ( ! [SY14: $i] : ( holdsDuring_THFTYPE_IiooI @ SY14 @ SV2 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[263]) ).

thf(277,plain,
    ( ( $true = $false )
    | ( ( ! [SX0: $i] : ( holdsDuring_THFTYPE_IiooI @ SX0 @ $true ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[264]) ).

thf(279,plain,
    ! [SV6: $o,SV3: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ SV6 ) )
        = $true )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ SV6 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[266]) ).

thf(280,plain,
    ! [SV3: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $true ) )
        = $true )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ $true ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[267]) ).

thf(281,plain,
    ! [SV3: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $false ) )
        = $true )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ $false ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[268]) ).

thf(282,plain,
    ! [SV7: $i,SV4: $o] :
      ( ( ( ! [SY19: $i] :
              ( ~ ( holdsDuring_THFTYPE_IiooI @ SY19 @ SV4 )
              | ~ ( temporalPart_THFTYPE_IiioI @ SV7 @ SY19 ) ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV7 @ SV4 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[269]) ).

thf(283,plain,
    ! [SV8: $i] :
      ( ( ( ! [SY20: $i] :
              ( ~ ( holdsDuring_THFTYPE_IiooI @ SY20 @ $true )
              | ~ ( temporalPart_THFTYPE_IiioI @ SV8 @ SY20 ) ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV8 @ $true )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[270]) ).

thf(284,plain,
    ! [SV9: $i] :
      ( ( ( ! [SY21: $i] :
              ( ~ ( holdsDuring_THFTYPE_IiooI @ SY21 @ $false )
              | ~ ( temporalPart_THFTYPE_IiioI @ SV9 @ SY21 ) ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV9 @ $false )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[271]) ).

thf(285,plain,
    ! [SV5: $i,SV10: $i] :
      ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ SV10 ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV5 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[272]) ).

thf(286,plain,
    ! [SV1: $o,SV11: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV11 @ SV1 )
        = $true )
      | ( SV1 = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[273]) ).

thf(287,plain,
    ! [SV12: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ $true )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[274]) ).

thf(289,plain,
    ! [SV2: $o,SV14: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV14 @ SV2 )
        = $true )
      | ( SV2 = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[276]) ).

thf(290,plain,
    ! [SV15: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV15 @ $true )
        = $true )
      | ( $true = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[277]) ).

thf(292,plain,
    ! [SV6: $o,SV3: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ SV6 )
        = $false )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ SV6 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[279]) ).

thf(293,plain,
    ! [SV3: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $true )
        = $false )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[280]) ).

thf(294,plain,
    ! [SV3: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $false )
        = $false )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ $false ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[281]) ).

thf(295,plain,
    ! [SV7: $i,SV4: $o,SV17: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV17 @ SV4 )
          | ~ ( temporalPart_THFTYPE_IiioI @ SV7 @ SV17 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV7 @ SV4 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[282]) ).

thf(296,plain,
    ! [SV8: $i,SV18: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV18 @ $true )
          | ~ ( temporalPart_THFTYPE_IiioI @ SV8 @ SV18 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV8 @ $true )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[283]) ).

thf(297,plain,
    ! [SV9: $i,SV19: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV19 @ $false )
          | ~ ( temporalPart_THFTYPE_IiioI @ SV9 @ SV19 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV9 @ $false )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[284]) ).

thf(298,plain,
    ! [SV6: $o,SV3: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ SV6 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ SV6 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[292]) ).

thf(299,plain,
    ! [SV3: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ $true )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[293]) ).

thf(300,plain,
    ! [SV3: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ $false )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $false )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[294]) ).

thf(301,plain,
    ! [SV7: $i,SV4: $o,SV17: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV17 @ SV4 ) )
        = $true )
      | ( ( ~ ( temporalPart_THFTYPE_IiioI @ SV7 @ SV17 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV7 @ SV4 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[295]) ).

thf(302,plain,
    ! [SV8: $i,SV18: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV18 @ $true ) )
        = $true )
      | ( ( ~ ( temporalPart_THFTYPE_IiioI @ SV8 @ SV18 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV8 @ $true )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[296]) ).

thf(303,plain,
    ! [SV9: $i,SV19: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV19 @ $false ) )
        = $true )
      | ( ( ~ ( temporalPart_THFTYPE_IiioI @ SV9 @ SV19 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV9 @ $false )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[297]) ).

thf(304,plain,
    ! [SV7: $i,SV4: $o,SV17: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV17 @ SV4 )
        = $false )
      | ( ( ~ ( temporalPart_THFTYPE_IiioI @ SV7 @ SV17 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV7 @ SV4 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[301]) ).

thf(305,plain,
    ! [SV8: $i,SV18: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV18 @ $true )
        = $false )
      | ( ( ~ ( temporalPart_THFTYPE_IiioI @ SV8 @ SV18 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV8 @ $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[302]) ).

thf(306,plain,
    ! [SV9: $i,SV19: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV19 @ $false )
        = $false )
      | ( ( ~ ( temporalPart_THFTYPE_IiioI @ SV9 @ SV19 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV9 @ $false )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[303]) ).

thf(307,plain,
    ! [SV4: $o,SV17: $i,SV7: $i] :
      ( ( ( temporalPart_THFTYPE_IiioI @ SV7 @ SV17 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV17 @ SV4 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV7 @ SV4 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[304]) ).

thf(308,plain,
    ! [SV18: $i,SV8: $i] :
      ( ( ( temporalPart_THFTYPE_IiioI @ SV8 @ SV18 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV18 @ $true )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV8 @ $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[305]) ).

thf(309,plain,
    ! [SV19: $i,SV9: $i] :
      ( ( ( temporalPart_THFTYPE_IiioI @ SV9 @ SV19 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV19 @ $false )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV9 @ $false )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[306]) ).

thf(310,plain,
    ! [SV11: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV11 @ $true )
        = $true )
      | ( $true = $false ) ),
    inference(prim_subst,[status(thm)],[286:[bind(SV1,$thf( $true ))]]) ).

thf(312,plain,
    ! [SV21: $o,SV11: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV11 @ ~ SV21 )
        = $true )
      | ( ( ~ SV21 ) = $false ) ),
    inference(prim_subst,[status(thm)],[286:[bind(SV1,$thf( ~ ( SV21 ) ))]]) ).

thf(313,plain,
    ! [SV14: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV14 @ $true )
        = $true )
      | ( $true = $false ) ),
    inference(prim_subst,[status(thm)],[289:[bind(SV2,$thf( $true ))]]) ).

thf(315,plain,
    ! [SV20: $o,SV14: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV14 @ ~ SV20 )
        = $true )
      | ( ( ~ SV20 ) = $false ) ),
    inference(prim_subst,[status(thm)],[289:[bind(SV2,$thf( ~ ( SV20 ) ))]]) ).

thf(316,plain,
    ! [SV1: $o,SV11: $i] :
      ( ( SV1 = $false )
      | ( ( SV1
          = ( ~ ( holdsDuring_THFTYPE_IiooI @ SV11 @ SV1 ) ) )
        = $false ) ),
    inference(fac_restr,[status(thm)],[286]) ).

thf(317,plain,
    ! [SV2: $o,SV14: $i] :
      ( ( SV2 = $false )
      | ( ( SV2
          = ( ~ ( holdsDuring_THFTYPE_IiooI @ SV14 @ SV2 ) ) )
        = $false ) ),
    inference(fac_restr,[status(thm)],[289]) ).

thf(318,plain,
    ! [SV6: $o,SV3: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ SV6 )
        = $false )
      | ( ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ SV6 )
          = ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ SV6 ) )
        = $false ) ),
    inference(fac_restr,[status(thm)],[298]) ).

thf(319,plain,
    ! [SV3: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $true )
        = $false )
      | ( ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ $true )
          = ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $true ) )
        = $false ) ),
    inference(fac_restr,[status(thm)],[299]) ).

thf(320,plain,
    ! [SV3: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $false )
        = $false )
      | ( ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ $false )
          = ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $false ) )
        = $false ) ),
    inference(fac_restr,[status(thm)],[300]) ).

thf(321,plain,
    ! [SV11: $i,SV1: $o] :
      ( ( ( ~ ( SV1
              | ~ ( holdsDuring_THFTYPE_IiooI @ SV11 @ SV1 ) )
          | ~ ( ~ SV1
              | ~ ~ ( holdsDuring_THFTYPE_IiooI @ SV11 @ SV1 ) ) )
        = $false )
      | ( SV1 = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[316]) ).

thf(323,plain,
    ! [SV14: $i,SV2: $o] :
      ( ( ( ~ ( SV2
              | ~ ( holdsDuring_THFTYPE_IiooI @ SV14 @ SV2 ) )
          | ~ ( ~ SV2
              | ~ ~ ( holdsDuring_THFTYPE_IiooI @ SV14 @ SV2 ) ) )
        = $false )
      | ( SV2 = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[317]) ).

thf(325,plain,
    ! [SV6: $o,SV3: $i] :
      ( ( ( ~ ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ SV6 )
              | ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ SV6 ) )
          | ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ SV6 )
              | ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ SV6 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ SV6 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[318]) ).

thf(327,plain,
    ! [SV3: $i] :
      ( ( ( ~ ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ $true )
              | ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $true ) )
          | ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ $true )
              | ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $true ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $true )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[319]) ).

thf(329,plain,
    ! [SV3: $i] :
      ( ( ( ~ ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ $false )
              | ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $false ) )
          | ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ $false )
              | ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $false ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $false )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[320]) ).

thf(332,plain,
    ! [SV11: $i,SV1: $o] :
      ( ( ( ~ ( ~ SV1
              | ~ ~ ( holdsDuring_THFTYPE_IiooI @ SV11 @ SV1 ) ) )
        = $false )
      | ( SV1 = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[321]) ).

thf(334,plain,
    ! [SV14: $i,SV2: $o] :
      ( ( ( ~ ( ~ SV2
              | ~ ~ ( holdsDuring_THFTYPE_IiooI @ SV14 @ SV2 ) ) )
        = $false )
      | ( SV2 = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[323]) ).

thf(336,plain,
    ! [SV6: $o,SV3: $i] :
      ( ( ( ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ SV6 )
              | ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ SV6 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ SV6 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[325]) ).

thf(338,plain,
    ! [SV3: $i] :
      ( ( ( ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ $true )
              | ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $true ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $true )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[327]) ).

thf(340,plain,
    ! [SV3: $i] :
      ( ( ( ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ $false )
              | ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $false ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $false )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[329]) ).

thf(342,plain,
    ! [SV11: $i,SV1: $o] :
      ( ( ( ~ SV1
          | ~ ~ ( holdsDuring_THFTYPE_IiooI @ SV11 @ SV1 ) )
        = $true )
      | ( SV1 = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[332]) ).

thf(344,plain,
    ! [SV14: $i,SV2: $o] :
      ( ( ( ~ SV2
          | ~ ~ ( holdsDuring_THFTYPE_IiooI @ SV14 @ SV2 ) )
        = $true )
      | ( SV2 = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[334]) ).

thf(346,plain,
    ! [SV6: $o,SV3: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ SV6 )
          | ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ SV6 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ SV6 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[336]) ).

thf(348,plain,
    ! [SV3: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ $true )
          | ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $true ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $true )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[338]) ).

thf(350,plain,
    ! [SV3: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ $false )
          | ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $false ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $false )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[340]) ).

thf(352,plain,
    ! [SV11: $i,SV1: $o] :
      ( ( ( ~ SV1 ) = $true )
      | ( ( ~ ~ ( holdsDuring_THFTYPE_IiooI @ SV11 @ SV1 ) )
        = $true )
      | ( SV1 = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[342]) ).

thf(354,plain,
    ! [SV14: $i,SV2: $o] :
      ( ( ( ~ SV2 ) = $true )
      | ( ( ~ ~ ( holdsDuring_THFTYPE_IiooI @ SV14 @ SV2 ) )
        = $true )
      | ( SV2 = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[344]) ).

thf(356,plain,
    ! [SV6: $o,SV3: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ SV6 ) )
        = $true )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ SV6 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ SV6 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[346]) ).

thf(358,plain,
    ! [SV3: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ $true ) )
        = $true )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $true ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $true )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[348]) ).

thf(360,plain,
    ! [SV3: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ $false ) )
        = $true )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $false ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $false )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[350]) ).

thf(362,plain,
    ! [SV11: $i,SV1: $o] :
      ( ( SV1 = $false )
      | ( ( ~ ~ ( holdsDuring_THFTYPE_IiooI @ SV11 @ SV1 ) )
        = $true )
      | ( SV1 = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[352]) ).

thf(364,plain,
    ! [SV14: $i,SV2: $o] :
      ( ( SV2 = $false )
      | ( ( ~ ~ ( holdsDuring_THFTYPE_IiooI @ SV14 @ SV2 ) )
        = $true )
      | ( SV2 = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[354]) ).

thf(365,plain,
    ! [SV6: $o,SV3: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ SV6 )
        = $false )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ SV6 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ SV6 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[356]) ).

thf(366,plain,
    ! [SV3: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ $true )
        = $false )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $true ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[358]) ).

thf(367,plain,
    ! [SV3: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ $false )
        = $false )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $false ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $false )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[360]) ).

thf(368,plain,
    ! [SV1: $o,SV11: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV11 @ SV1 ) )
        = $false )
      | ( SV1 = $false )
      | ( SV1 = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[362]) ).

thf(369,plain,
    ! [SV2: $o,SV14: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV14 @ SV2 ) )
        = $false )
      | ( SV2 = $false )
      | ( SV2 = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[364]) ).

thf(370,plain,
    ! [SV6: $o,SV3: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ SV6 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ SV6 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ SV6 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[365]) ).

thf(371,plain,
    ! [SV3: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $true )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ $true )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[366]) ).

thf(372,plain,
    ! [SV3: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $false )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ $false )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $false )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[367]) ).

thf(373,plain,
    ! [SV1: $o,SV11: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV11 @ SV1 )
        = $true )
      | ( SV1 = $false )
      | ( SV1 = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[368]) ).

thf(374,plain,
    ! [SV2: $o,SV14: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV14 @ SV2 )
        = $true )
      | ( SV2 = $false )
      | ( SV2 = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[369]) ).

thf(383,plain,
    ! [SV11: $i,SV21: $o] :
      ( ( SV21 = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV11 @ ~ SV21 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[312]) ).

thf(384,plain,
    ! [SV14: $i,SV20: $o] :
      ( ( SV20 = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV14 @ ~ SV20 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[315]) ).

thf(385,plain,
    ! [SV12: $i] :
      ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ $true )
      = $true ),
    inference(sim,[status(thm)],[287]) ).

thf(386,plain,
    ! [SV15: $i] :
      ( ( holdsDuring_THFTYPE_IiooI @ SV15 @ $true )
      = $true ),
    inference(sim,[status(thm)],[290]) ).

thf(387,plain,
    ! [SV1: $o,SV11: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV11 @ SV1 )
        = $true )
      | ( SV1 = $false ) ),
    inference(sim,[status(thm)],[373]) ).

thf(388,plain,
    ! [SV2: $o,SV14: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV14 @ SV2 )
        = $true )
      | ( SV2 = $false ) ),
    inference(sim,[status(thm)],[374]) ).

thf(389,plain,
    ! [SV6: $o,SV3: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ SV6 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ SV6 )
        = $false ) ),
    inference(sim,[status(thm)],[370]) ).

thf(390,plain,
    ! [SV3: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $true )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ $true )
        = $false ) ),
    inference(sim,[status(thm)],[371]) ).

thf(391,plain,
    ! [SV3: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ ~ $false )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV3 @ $false )
        = $false ) ),
    inference(sim,[status(thm)],[372]) ).

thf(392,plain,
    ! [SV12: $i] :
      ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ $true )
      = $true ),
    inference(sim,[status(thm)],[287]) ).

thf(393,plain,
    ! [SV15: $i] :
      ( ( holdsDuring_THFTYPE_IiooI @ SV15 @ $true )
      = $true ),
    inference(sim,[status(thm)],[290]) ).

thf(394,plain,
    ! [SV11: $i] :
      ( ( holdsDuring_THFTYPE_IiooI @ SV11 @ $true )
      = $true ),
    inference(sim,[status(thm)],[310]) ).

thf(395,plain,
    ! [SV14: $i] :
      ( ( holdsDuring_THFTYPE_IiooI @ SV14 @ $true )
      = $true ),
    inference(sim,[status(thm)],[313]) ).

thf(396,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[229,395,394,393,392,391,390,389,388,387,386,385,384,383,309,308,307,300,299,298,289,286,285,248,247,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231]) ).

thf(397,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[396]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR148^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05  % Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.21  % Computer : n016.cluster.edu
% 0.08/0.21  % Model    : x86_64 x86_64
% 0.08/0.21  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.21  % Memory   : 8046.5625MB
% 0.08/0.21  % OS       : Linux 6.8.0-71-generic
% 0.08/0.21  % CPULimit : 300
% 0.08/0.21  % WCLimit  : 300
% 0.08/0.21  % DateTime : Tue Oct  6 19:00:45 UTC 2026
% 0.08/0.21  % CPUTime  : 
% 0.08/0.21  Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.86/0.49  
% 0.86/0.49   No.of.Axioms: 192
% 0.86/0.49  
% 0.86/0.49   Length.of.Defs: 0
% 0.86/0.49  
% 0.86/0.49   Contains.Choice.Funs: false
% 0.86/0.49  ......
% 0.86/0.49  
% 0.86/0.49  ********************************
% 0.86/0.49  *   All subproblems solved!    *
% 0.86/0.49  ********************************
% 0.86/0.49  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:2,axioms:22,ps:3,u:5,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:396,loop_count:0,foatp_calls:2,translation:fof_full)
% 0.86/0.49  
% 0.86/0.49  %**** Beginning of derivation protocol ****
% 0.86/0.49  % SZS output start CNFRefutation
% See solution above
% 0.86/0.49  
% 0.86/0.49  %**** End of derivation protocol ****
% 0.86/0.49  %**** no. of clauses in derivation: 187 ****
% 0.86/0.49  %**** clause counter: 396 ****
% 0.86/0.49  
% 0.86/0.49  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:2,axioms:22,ps:3,u:5,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:396,loop_count:0,foatp_calls:2,translation:fof_full)
%------------------------------------------------------------------------------