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

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%------------------------------------------------------------------------------
% File     : LEO-II---2.3.1
% Problem  : CSR125^2 : 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 : n001.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 10:16:05 AM UTC 2026

% Result   : Theorem 0.42s 0.37s
% Output   : CNFRefutation 0.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   22 (  18 unt;   0 typ;   0 def)
%            Number of atoms       :   81 (  22 equ;   0 cnn)
%            Maximal formula atoms :    2 (   3 avg)
%            Number of connectives :   80 (   9   ~;   2   |;   0   &;  69   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  139 ( 136 usr;  71 con; 0-3 aty)
%            Number of variables   :   11 (   0   ^;  11   !;   0   ?;  11   :)

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

thf(tp_agent_THFTYPE_IiioI,type,
    agent_THFTYPE_IiioI: $i > $i > $o ).

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

thf(tp_believes_THFTYPE_IiooI,type,
    believes_THFTYPE_IiooI: $i > $o > $o ).

thf(tp_containsInformation_THFTYPE_IiooI,type,
    containsInformation_THFTYPE_IiooI: $i > $o > $o ).

thf(tp_contraryAttribute_THFTYPE_IioI,type,
    contraryAttribute_THFTYPE_IioI: $i > $o ).

thf(tp_contraryAttribute_THFTYPE_IoooI,type,
    contraryAttribute_THFTYPE_IoooI: $o > $o > $o ).

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_IIiiiIiioI,type,
    domainSubclass_THFTYPE_IIiiiIiioI: ( $i > $i > $i ) > $i > $i > $o ).

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

thf(tp_domainSubclass_THFTYPE_IIioIiioI,type,
    domainSubclass_THFTYPE_IIioIiioI: ( $i > $o ) > $i > $i > $o ).

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

thf(tp_domain_THFTYPE_IIIioIiioIiioI,type,
    domain_THFTYPE_IIIioIiioIiioI: ( ( $i > $o ) > $i > $i > $o ) > $i > $i > $o ).

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

thf(tp_domain_THFTYPE_IIiiiIiioI,type,
    domain_THFTYPE_IIiiiIiioI: ( $i > $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_IIioIiioI,type,
    domain_THFTYPE_IIioIiioI: ( $i > $o ) > $i > $i > $o ).

thf(tp_domain_THFTYPE_IIiooIiioI,type,
    domain_THFTYPE_IIiooIiioI: ( $i > $o > $o ) > $i > $i > $o ).

thf(tp_domain_THFTYPE_IIoooIiioI,type,
    domain_THFTYPE_IIoooIiioI: ( $o > $o > $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_inList_THFTYPE_IiioI,type,
    inList_THFTYPE_IiioI: $i > $i > $o ).

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

thf(tp_instance_THFTYPE_IIIioIiioIioI,type,
    instance_THFTYPE_IIIioIiioIioI: ( ( $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_instance_THFTYPE_IoioI,type,
    instance_THFTYPE_IoioI: $o > $i > $o ).

thf(tp_instrument_THFTYPE_i,type,
    instrument_THFTYPE_i: $i ).

thf(tp_knows_THFTYPE_IiooI,type,
    knows_THFTYPE_IiooI: $i > $o > $o ).

thf(tp_lAdditionFn_THFTYPE_i,type,
    lAdditionFn_THFTYPE_i: $i ).

thf(tp_lAgent_THFTYPE_i,type,
    lAgent_THFTYPE_i: $i ).

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

thf(tp_lAttribute_THFTYPE_i,type,
    lAttribute_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_lCognitiveAgent_THFTYPE_i,type,
    lCognitiveAgent_THFTYPE_i: $i ).

thf(tp_lContentBearingObject_THFTYPE_i,type,
    lContentBearingObject_THFTYPE_i: $i ).

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

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

thf(tp_lDirectionalAttribute_THFTYPE_i,type,
    lDirectionalAttribute_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_lFormula_THFTYPE_i,type,
    lFormula_THFTYPE_i: $i ).

thf(tp_lHuman_THFTYPE_i,type,
    lHuman_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_lIntentionalProcess_THFTYPE_i,type,
    lIntentionalProcess_THFTYPE_i: $i ).

thf(tp_lInternalAttribute_THFTYPE_i,type,
    lInternalAttribute_THFTYPE_i: $i ).

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

thf(tp_lLinguisticExpression_THFTYPE_i,type,
    lLinguisticExpression_THFTYPE_i: $i ).

thf(tp_lListFn_THFTYPE_IiiI,type,
    lListFn_THFTYPE_IiiI: $i > $i ).

thf(tp_lListFn_THFTYPE_i,type,
    lListFn_THFTYPE_i: $i ).

thf(tp_lListOrderFn_THFTYPE_IiiiI,type,
    lListOrderFn_THFTYPE_IiiiI: $i > $i > $i ).

thf(tp_lListOrderFn_THFTYPE_i,type,
    lListOrderFn_THFTYPE_i: $i ).

thf(tp_lList_THFTYPE_i,type,
    lList_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_lOrganism_THFTYPE_i,type,
    lOrganism_THFTYPE_i: $i ).

thf(tp_lOrganization_THFTYPE_i,type,
    lOrganization_THFTYPE_i: $i ).

thf(tp_lPositionalAttribute_THFTYPE_i,type,
    lPositionalAttribute_THFTYPE_i: $i ).

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

thf(tp_lProposition_THFTYPE_i,type,
    lProposition_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_lRelationalAttribute_THFTYPE_i,type,
    lRelationalAttribute_THFTYPE_i: $i ).

thf(tp_lSelfConnectedObject_THFTYPE_i,type,
    lSelfConnectedObject_THFTYPE_i: $i ).

thf(tp_lSentence_THFTYPE_i,type,
    lSentence_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_lText_THFTYPE_i,type,
    lText_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_lTruthValue_THFTYPE_i,type,
    lTruthValue_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_member_THFTYPE_IiioI,type,
    member_THFTYPE_IiioI: $i > $i > $o ).

thf(tp_minus_THFTYPE_IiiiI,type,
    minus_THFTYPE_IiiiI: $i > $i > $i ).

thf(tp_modalAttribute_THFTYPE_i,type,
    modalAttribute_THFTYPE_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_IiiioI,type,
    orientation_THFTYPE_IiiioI: $i > $i > $i > $o ).

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

thf(tp_partition_THFTYPE_IiiioI,type,
    partition_THFTYPE_IiiioI: $i > $i > $i > $o ).

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

thf(tp_property_THFTYPE_IiioI,type,
    property_THFTYPE_IiioI: $i > $i > $o ).

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_IiIiooIoI,type,
    relatedInternalConcept_THFTYPE_IiIiooIoI: $i > ( $i > $o > $o ) > $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_subAttribute_THFTYPE_IiioI,type,
    subAttribute_THFTYPE_IiioI: $i > $i > $o ).

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_IIiioIIiioIoI,type,
    subrelation_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).

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

thf(tp_subrelation_THFTYPE_IIoooIIiioIoI,type,
    subrelation_THFTYPE_IIoooIIiioIoI: ( $o > $o > $o ) > ( $i > $i > $o ) > $o ).

thf(tp_subrelation_THFTYPE_IiIiioIoI,type,
    subrelation_THFTYPE_IiIiioIoI: $i > ( $i > $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(tp_truth_THFTYPE_IoooI,type,
    truth_THFTYPE_IoooI: $o > $o > $o ).

thf(190,axiom,
    likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_082) ).

thf(204,axiom,
    ! [X: $i] :
      ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_068) ).

thf(273,conjecture,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

thf(274,negated_conjecture,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
    = $false ),
    inference(negate_conjecture,[status(cth)],[273]) ).

thf(275,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
    = $false ),
    inference(unfold_def,[status(thm)],[274]) ).

thf(290,plain,
    ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[190]) ).

thf(296,plain,
    ( ( ! [X: $i] :
          ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[204]) ).

thf(299,plain,
    ( ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[275]) ).

thf(304,plain,
    ( ( ! [X: $i] :
          ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[296]) ).

thf(310,plain,
    ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[290]) ).

thf(325,plain,
    ( ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) )
    = $true ),
    inference(copy,[status(thm)],[299]) ).

thf(330,plain,
    ! [SV3: $i] :
      ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV3 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[304]) ).

thf(331,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[325]) ).

thf(406,plain,
    ! [SV11: $i] :
      ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV11 ) )
      = $true ),
    inference(rename,[status(thm)],[330]) ).

thf(407,plain,
    ! [SV11: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
        = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV11 ) ) )
      = $false ),
    inference(res,[status(thm)],[331,406]) ).

thf(428,plain,
    ! [SV11: $i] :
      ( ( $false = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV11 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[407]) ).

thf(431,plain,
    ! [SV11: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV11 )
        = $false )
      | ( $false = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[428]) ).

thf(432,plain,
    ! [SV11: $i] :
      ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV11 )
      = $false ),
    inference(sim,[status(thm)],[431]) ).

thf(433,plain,
    ! [SV12: $i] :
      ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV12 )
      = $false ),
    inference(rename,[status(thm)],[432]) ).

thf(449,plain,
    ! [SV12: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV12 )
        = ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $false ),
    inference(res,[status(thm)],[433,310]) ).

thf(455,plain,
    $false = $true,
    inference(extuni,[status(esa)],[449:[bind(SV12,$thf( lBill_THFTYPE_i ))]]) ).

thf(456,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[455]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR125^2 : 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
% 0.09/0.18  % Computer : n001.cluster.edu
% 0.09/0.18  % Model    : x86_64 x86_64
% 0.09/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18  % Memory   : 8046.5625MB
% 0.09/0.18  % OS       : Linux 6.8.0-71-generic
% 0.09/0.18  % CPULimit : 300
% 0.09/0.18  % WCLimit  : 300
% 0.09/0.18  % DateTime : Tue Oct  6 19:01:24 UTC 2026
% 0.09/0.18  % CPUTime  : 
% 0.09/0.18  Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.42/0.37  .
% 0.42/0.37  
% 0.42/0.37   No.of.Axioms: 272
% 0.42/0.37  
% 0.42/0.37   Length.of.Defs: 0
% 0.42/0.37  
% 0.42/0.37   Contains.Choice.Funs: false
% 0.42/0.37  .........
% 0.42/0.37  
% 0.42/0.37  ********************************
% 0.42/0.37  *   All subproblems solved!    *
% 0.42/0.37  ********************************
% 0.42/0.37  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:2,axioms:23,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:455,loop_count:23,foatp_calls:2,translation:fof_full)
% 0.42/0.37  
% 0.42/0.37  %**** Beginning of derivation protocol ****
% 0.42/0.37  % SZS output start CNFRefutation
% See solution above
% 0.42/0.37  
% 0.42/0.37  %**** End of derivation protocol ****
% 0.42/0.37  %**** no. of clauses in derivation: 22 ****
% 0.42/0.37  %**** clause counter: 455 ****
% 0.42/0.37  
% 0.42/0.37  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:2,axioms:23,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:455,loop_count:23,foatp_calls:2,translation:fof_full)
%------------------------------------------------------------------------------