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

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%------------------------------------------------------------------------------
% File     : LEO-II---2.3.1
% Problem  : CSR126^2 : 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 : n006.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 10:16:06 AM UTC 2026

% Result   : Theorem 0.60s 0.30s
% Output   : CNFRefutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    6
% Syntax   : Number of formulae    :  108 (  42 unt;   0 typ;   0 def)
%            Number of atoms       :  760 ( 187 equ;   0 cnn)
%            Maximal formula atoms :    3 (   7 avg)
%            Number of connectives :  959 ( 211   ~; 137   |;   3   &; 596   @)
%                                         (   0 <=>;  12  =>;   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   :  158 (   0   ^; 158   !;   0   ?; 158   :)

% 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(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/sandbox2/benchmark/theBenchmark.p',ax_027) ).

thf(168,axiom,
    ! [T: $i] : ( holdsDuring_THFTYPE_IiooI @ T @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_023) ).

thf(169,axiom,
    ! [TIME: $i,SITUATION: $o] :
      ( ( holdsDuring_THFTYPE_IiooI @ TIME @ ~ SITUATION )
     => ~ ( holdsDuring_THFTYPE_IiooI @ TIME @ SITUATION ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_022) ).

thf(185,axiom,
    ! [X: $i] :
      ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X )
       => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_006) ).

thf(186,axiom,
    ! [X: $i] :
      ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X )
       => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_005) ).

thf(192,conjecture,
    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',con) ).

thf(193,negated_conjecture,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[192]) ).

thf(194,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
    = $false ),
    inference(unfold_def,[status(thm)],[193]) ).

thf(195,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(197,plain,
    ( ( ! [T: $i] : ( holdsDuring_THFTYPE_IiooI @ T @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[168]) ).

thf(198,plain,
    ( ( ! [TIME: $i,SITUATION: $o] :
          ( ( holdsDuring_THFTYPE_IiooI @ TIME @ ~ SITUATION )
         => ~ ( holdsDuring_THFTYPE_IiooI @ TIME @ SITUATION ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[169]) ).

thf(199,plain,
    ( ( ! [X: $i] :
          ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X )
           => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[185]) ).

thf(200,plain,
    ( ( ! [X: $i] :
          ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X )
           => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[186]) ).

thf(201,plain,
    ( ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[194]) ).

thf(202,plain,
    ( ( ! [X: $i] :
          ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X )
           => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[200]) ).

thf(203,plain,
    ( ( ! [X: $i] :
          ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X )
           => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[199]) ).

thf(204,plain,
    ( ( ! [TIME: $i,SITUATION: $o] :
          ( ( holdsDuring_THFTYPE_IiooI @ TIME @ ~ SITUATION )
         => ~ ( holdsDuring_THFTYPE_IiooI @ TIME @ SITUATION ) ) )
    = $true ),
    inference(copy,[status(thm)],[198]) ).

thf(205,plain,
    ( ( ! [T: $i] : ( holdsDuring_THFTYPE_IiooI @ T @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
    = $true ),
    inference(copy,[status(thm)],[197]) ).

thf(207,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)],[195]) ).

thf(208,plain,
    ( ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
    = $true ),
    inference(copy,[status(thm)],[201]) ).

thf(209,plain,
    ( ( ! [SX0: $i] :
          ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SX0 )
            | ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[202]) ).

thf(210,plain,
    ( ( ! [SX0: $i] :
          ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SX0 )
            | ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[203]) ).

thf(211,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)],[207]) ).

thf(212,plain,
    ( ( ! [SX0: $i,SX1: $o] :
          ( ~ ( holdsDuring_THFTYPE_IiooI @ SX0 @ ~ SX1 )
          | ~ ( holdsDuring_THFTYPE_IiooI @ SX0 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[204]) ).

thf(213,plain,
    ! [SV1: $i] :
      ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[205]) ).

thf(215,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[208]) ).

thf(216,plain,
    ! [SV3: $i] :
      ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV3 )
          | ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV3 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[209]) ).

thf(217,plain,
    ! [SV4: $i] :
      ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV4 )
          | ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV4 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[210]) ).

thf(218,plain,
    ! [SV5: $o] :
      ( ( ! [SY9: $i,SY10: $i] :
            ( ~ ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SY10 @ SV5 )
                  | ~ ( temporalPart_THFTYPE_IiioI @ SY9 @ SY10 ) )
            | ( holdsDuring_THFTYPE_IiooI @ SY9 @ SV5 ) ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[211]) ).

thf(219,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)],[211]) ).

thf(220,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)],[211]) ).

thf(221,plain,
    ! [SV6: $i] :
      ( ( ! [SY11: $o] :
            ( ~ ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ SY11 )
            | ~ ( holdsDuring_THFTYPE_IiooI @ SV6 @ SY11 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[212]) ).

thf(222,plain,
    ! [SV7: $i,SV5: $o] :
      ( ( ! [SY12: $i] :
            ( ~ ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SY12 @ SV5 )
                  | ~ ( temporalPart_THFTYPE_IiioI @ SV7 @ SY12 ) )
            | ( holdsDuring_THFTYPE_IiooI @ SV7 @ SV5 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[218]) ).

thf(223,plain,
    ! [SV8: $i] :
      ( ( ! [SY13: $i] :
            ( ~ ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SY13 @ $true )
                  | ~ ( temporalPart_THFTYPE_IiioI @ SV8 @ SY13 ) )
            | ( holdsDuring_THFTYPE_IiooI @ SV8 @ $true ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[219]) ).

thf(224,plain,
    ! [SV9: $i] :
      ( ( ! [SY14: $i] :
            ( ~ ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SY14 @ $false )
                  | ~ ( temporalPart_THFTYPE_IiioI @ SV9 @ SY14 ) )
            | ( holdsDuring_THFTYPE_IiooI @ SV9 @ $false ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[220]) ).

thf(225,plain,
    ! [SV10: $o,SV6: $i] :
      ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ SV10 )
        | ~ ( holdsDuring_THFTYPE_IiooI @ SV6 @ SV10 ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[221]) ).

thf(226,plain,
    ! [SV6: $i] :
      ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ $true )
        | ~ ( holdsDuring_THFTYPE_IiooI @ SV6 @ $true ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[221]) ).

thf(227,plain,
    ! [SV6: $i] :
      ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ $false )
        | ~ ( holdsDuring_THFTYPE_IiooI @ SV6 @ $false ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[221]) ).

thf(228,plain,
    ! [SV7: $i,SV5: $o,SV11: $i] :
      ( ( ~ ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV11 @ SV5 )
              | ~ ( temporalPart_THFTYPE_IiioI @ SV7 @ SV11 ) )
        | ( holdsDuring_THFTYPE_IiooI @ SV7 @ SV5 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[222]) ).

thf(229,plain,
    ! [SV8: $i,SV12: $i] :
      ( ( ~ ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV12 @ $true )
              | ~ ( temporalPart_THFTYPE_IiioI @ SV8 @ SV12 ) )
        | ( holdsDuring_THFTYPE_IiooI @ SV8 @ $true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[223]) ).

thf(230,plain,
    ! [SV9: $i,SV13: $i] :
      ( ( ~ ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV13 @ $false )
              | ~ ( temporalPart_THFTYPE_IiioI @ SV9 @ SV13 ) )
        | ( holdsDuring_THFTYPE_IiooI @ SV9 @ $false ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[224]) ).

thf(231,plain,
    ! [SV10: $o,SV6: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ SV10 ) )
        = $true )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV6 @ SV10 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[225]) ).

thf(232,plain,
    ! [SV6: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ $true ) )
        = $true )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV6 @ $true ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[226]) ).

thf(233,plain,
    ! [SV6: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ $false ) )
        = $true )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV6 @ $false ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[227]) ).

thf(234,plain,
    ! [SV7: $i,SV5: $o,SV11: $i] :
      ( ( ( ~ ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV11 @ SV5 )
                | ~ ( temporalPart_THFTYPE_IiioI @ SV7 @ SV11 ) ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV7 @ SV5 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[228]) ).

thf(235,plain,
    ! [SV8: $i,SV12: $i] :
      ( ( ( ~ ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV12 @ $true )
                | ~ ( temporalPart_THFTYPE_IiioI @ SV8 @ SV12 ) ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV8 @ $true )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[229]) ).

thf(236,plain,
    ! [SV9: $i,SV13: $i] :
      ( ( ( ~ ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV13 @ $false )
                | ~ ( temporalPart_THFTYPE_IiioI @ SV9 @ SV13 ) ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV9 @ $false )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[230]) ).

thf(237,plain,
    ! [SV10: $o,SV6: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ SV10 )
        = $false )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV6 @ SV10 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[231]) ).

thf(238,plain,
    ! [SV6: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ $true )
        = $false )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV6 @ $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[232]) ).

thf(239,plain,
    ! [SV6: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ $false )
        = $false )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV6 @ $false ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[233]) ).

thf(240,plain,
    ! [SV7: $i,SV5: $o,SV11: $i] :
      ( ( ( ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV11 @ SV5 )
              | ~ ( temporalPart_THFTYPE_IiioI @ SV7 @ SV11 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV7 @ SV5 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[234]) ).

thf(241,plain,
    ! [SV8: $i,SV12: $i] :
      ( ( ( ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV12 @ $true )
              | ~ ( temporalPart_THFTYPE_IiioI @ SV8 @ SV12 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV8 @ $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[235]) ).

thf(242,plain,
    ! [SV9: $i,SV13: $i] :
      ( ( ( ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV13 @ $false )
              | ~ ( temporalPart_THFTYPE_IiioI @ SV9 @ SV13 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV9 @ $false )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[236]) ).

thf(243,plain,
    ! [SV10: $o,SV6: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ SV10 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ SV10 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[237]) ).

thf(244,plain,
    ! [SV6: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ $true )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[238]) ).

thf(245,plain,
    ! [SV6: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ $false )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ $false )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[239]) ).

thf(246,plain,
    ! [SV7: $i,SV5: $o,SV11: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV11 @ SV5 )
          | ~ ( temporalPart_THFTYPE_IiioI @ SV7 @ SV11 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV7 @ SV5 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[240]) ).

thf(247,plain,
    ! [SV8: $i,SV12: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV12 @ $true )
          | ~ ( temporalPart_THFTYPE_IiioI @ SV8 @ SV12 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV8 @ $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[241]) ).

thf(248,plain,
    ! [SV9: $i,SV13: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV13 @ $false )
          | ~ ( temporalPart_THFTYPE_IiioI @ SV9 @ SV13 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV9 @ $false )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[242]) ).

thf(249,plain,
    ! [SV7: $i,SV5: $o,SV11: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV11 @ SV5 ) )
        = $true )
      | ( ( ~ ( temporalPart_THFTYPE_IiioI @ SV7 @ SV11 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV7 @ SV5 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[246]) ).

thf(250,plain,
    ! [SV8: $i,SV12: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV12 @ $true ) )
        = $true )
      | ( ( ~ ( temporalPart_THFTYPE_IiioI @ SV8 @ SV12 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV8 @ $true )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[247]) ).

thf(251,plain,
    ! [SV9: $i,SV13: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV13 @ $false ) )
        = $true )
      | ( ( ~ ( temporalPart_THFTYPE_IiioI @ SV9 @ SV13 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV9 @ $false )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[248]) ).

thf(252,plain,
    ! [SV7: $i,SV5: $o,SV11: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV11 @ SV5 )
        = $false )
      | ( ( ~ ( temporalPart_THFTYPE_IiioI @ SV7 @ SV11 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV7 @ SV5 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[249]) ).

thf(253,plain,
    ! [SV8: $i,SV12: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ $true )
        = $false )
      | ( ( ~ ( temporalPart_THFTYPE_IiioI @ SV8 @ SV12 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV8 @ $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[250]) ).

thf(254,plain,
    ! [SV9: $i,SV13: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV13 @ $false )
        = $false )
      | ( ( ~ ( temporalPart_THFTYPE_IiioI @ SV9 @ SV13 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV9 @ $false )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[251]) ).

thf(255,plain,
    ! [SV5: $o,SV11: $i,SV7: $i] :
      ( ( ( temporalPart_THFTYPE_IiioI @ SV7 @ SV11 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV11 @ SV5 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV7 @ SV5 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[252]) ).

thf(256,plain,
    ! [SV12: $i,SV8: $i] :
      ( ( ( temporalPart_THFTYPE_IiioI @ SV8 @ SV12 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV12 @ $true )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV8 @ $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[253]) ).

thf(257,plain,
    ! [SV13: $i,SV9: $i] :
      ( ( ( temporalPart_THFTYPE_IiioI @ SV9 @ SV13 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV13 @ $false )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV9 @ $false )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[254]) ).

thf(258,plain,
    ! [SV10: $o,SV6: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ SV10 )
        = $false )
      | ( ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ SV10 )
          = ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ SV10 ) )
        = $false ) ),
    inference(fac_restr,[status(thm)],[243]) ).

thf(259,plain,
    ! [SV6: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ $true )
        = $false )
      | ( ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ $true )
          = ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ $true ) )
        = $false ) ),
    inference(fac_restr,[status(thm)],[244]) ).

thf(260,plain,
    ! [SV6: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ $false )
        = $false )
      | ( ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ $false )
          = ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ $false ) )
        = $false ) ),
    inference(fac_restr,[status(thm)],[245]) ).

thf(261,plain,
    ! [SV10: $o,SV6: $i] :
      ( ( ( ~ ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ SV10 )
              | ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ SV10 ) )
          | ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV6 @ SV10 )
              | ~ ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ SV10 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ SV10 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[258]) ).

thf(263,plain,
    ! [SV6: $i] :
      ( ( ( ~ ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ $true )
              | ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ $true ) )
          | ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV6 @ $true )
              | ~ ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ $true ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ $true )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[259]) ).

thf(265,plain,
    ! [SV6: $i] :
      ( ( ( ~ ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ $false )
              | ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ $false ) )
          | ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV6 @ $false )
              | ~ ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ $false ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ $false )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[260]) ).

thf(268,plain,
    ! [SV10: $o,SV6: $i] :
      ( ( ( ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV6 @ SV10 )
              | ~ ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ SV10 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ SV10 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[261]) ).

thf(270,plain,
    ! [SV6: $i] :
      ( ( ( ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV6 @ $true )
              | ~ ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ $true ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ $true )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[263]) ).

thf(272,plain,
    ! [SV6: $i] :
      ( ( ( ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV6 @ $false )
              | ~ ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ $false ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ $false )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[265]) ).

thf(274,plain,
    ! [SV10: $o,SV6: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV6 @ SV10 )
          | ~ ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ SV10 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ SV10 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[268]) ).

thf(276,plain,
    ! [SV6: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV6 @ $true )
          | ~ ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ $true ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ $true )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[270]) ).

thf(278,plain,
    ! [SV6: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV6 @ $false )
          | ~ ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ $false ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ $false )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[272]) ).

thf(280,plain,
    ! [SV10: $o,SV6: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV6 @ SV10 ) )
        = $true )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ SV10 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ SV10 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[274]) ).

thf(282,plain,
    ! [SV6: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV6 @ $true ) )
        = $true )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ $true ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ $true )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[276]) ).

thf(284,plain,
    ! [SV6: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV6 @ $false ) )
        = $true )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ $false ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ $false )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[278]) ).

thf(285,plain,
    ! [SV10: $o,SV6: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ SV10 )
        = $false )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ SV10 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ SV10 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[280]) ).

thf(286,plain,
    ! [SV6: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ $true )
        = $false )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ $true ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[282]) ).

thf(287,plain,
    ! [SV6: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ $false )
        = $false )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ $false ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ $false )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[284]) ).

thf(288,plain,
    ! [SV10: $o,SV6: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ SV10 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ SV10 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ SV10 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[285]) ).

thf(289,plain,
    ! [SV6: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ $true )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ $true )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[286]) ).

thf(290,plain,
    ! [SV6: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ $false )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ $false )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ $false )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[287]) ).

thf(299,plain,
    ! [SV10: $o,SV6: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ SV10 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ SV10 )
        = $false ) ),
    inference(sim,[status(thm)],[288]) ).

thf(300,plain,
    ! [SV6: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ $true )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ $true )
        = $false ) ),
    inference(sim,[status(thm)],[289]) ).

thf(301,plain,
    ! [SV6: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ ~ $false )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ $false )
        = $false ) ),
    inference(sim,[status(thm)],[290]) ).

thf(302,plain,
    ! [SV14: $i] :
      ( ( holdsDuring_THFTYPE_IiooI @ SV14 @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $true ),
    inference(rename,[status(thm)],[213]) ).

thf(304,plain,
    ! [SV14: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
        = ( holdsDuring_THFTYPE_IiooI @ SV14 @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
      = $false ),
    inference(res,[status(thm)],[215,302]) ).

thf(305,plain,
    ( ( lSue_THFTYPE_i = lMary_THFTYPE_i )
    = $false ),
    inference(extuni,[status(esa)],[304:[bind(SV14,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(306,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[304:[bind(SV14,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(307,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[304:[bind(SV14,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(308,plain,
    ! [SV16: $i] :
      ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 )
          | ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 ) ) )
      = $true ),
    inference(rename,[status(thm)],[216]) ).

thf(309,plain,
    ! [SV16: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 )
            | ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 ) ) )
        = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
      = $false ),
    inference(res,[status(thm)],[308,215]) ).

thf(310,plain,
    ! [SV16: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 )
          | ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[309]) ).

thf(311,plain,
    ! [SV16: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 )
          | ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[309]) ).

thf(312,plain,
    ! [SV16: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[311]) ).

thf(313,plain,
    ! [SV16: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[311]) ).

thf(314,plain,
    ! [SV16: $i] :
      ( ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[310]) ).

thf(315,plain,
    ! [SV16: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[312]) ).

thf(316,plain,
    ! [SV16: $i] :
      ( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ SV16 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ SV16 )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[314]) ).

thf(317,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[215,316,315,313,308,307,306,305,302,301,300,299,257,256,255,245,244,243,217]) ).

thf(318,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[317]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR126^2 : 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
% 0.11/0.19  % Computer : n006.cluster.edu
% 0.11/0.19  % Model    : x86_64 x86_64
% 0.11/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.19  % Memory   : 8046.5625MB
% 0.11/0.19  % OS       : Linux 6.8.0-71-generic
% 0.11/0.19  % CPULimit : 300
% 0.11/0.19  % WCLimit  : 300
% 0.11/0.19  % DateTime : Tue Oct  6 18:54:52 UTC 2026
% 0.11/0.19  % CPUTime  : 
% 0.11/0.19  Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.60/0.30  
% 0.60/0.30   No.of.Axioms: 6
% 0.60/0.30  
% 0.60/0.30   Length.of.Defs: 0
% 0.60/0.30  
% 0.60/0.30   Contains.Choice.Funs: false
% 0.60/0.30  ....
% 0.60/0.30  
% 0.60/0.30  ********************************
% 0.60/0.30  *   All subproblems solved!    *
% 0.60/0.30  ********************************
% 0.60/0.30  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:6,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:317,loop_count:5,foatp_calls:3,translation:fof_full)
% 0.60/0.30  
% 0.60/0.30  %**** Beginning of derivation protocol ****
% 0.60/0.30  % SZS output start CNFRefutation
% See solution above
% 0.60/0.30  
% 0.60/0.30  %**** End of derivation protocol ****
% 0.60/0.30  %**** no. of clauses in derivation: 108 ****
% 0.60/0.30  %**** clause counter: 317 ****
% 0.60/0.30  
% 0.60/0.30  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:6,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:317,loop_count:5,foatp_calls:3,translation:fof_full)
%------------------------------------------------------------------------------