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

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%------------------------------------------------------------------------------
% File     : LEO-II---2.3.1
% Problem  : CSR130^2 : 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 : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Oct  7 10:16:07 AM UTC 2026

% Result   : Theorem 0.47s 0.34s
% Output   : CNFRefutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :    6
% Syntax   : Number of formulae    :  243 (  48 unt;   0 typ;   0 def)
%            Number of atoms       : 1615 ( 543 equ;   0 cnn)
%            Maximal formula atoms :    4 (   6 avg)
%            Number of connectives : 2504 ( 586   ~; 411   |;  13   &;1488   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :  240 ( 240   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   57 (  54 usr;  25 con; 0-3 aty)
%            Number of variables   :  447 (   0   ^; 442   !;   5   ?; 447   :)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(tp_lBeginFn_THFTYPE_IiiI,type,
    lBeginFn_THFTYPE_IiiI: $i > $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(tp_n2009_THFTYPE_i,type,
    n2009_THFTYPE_i: $i ).

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

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

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

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

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

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

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

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

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

thf(tp_sK5_SY16,type,
    sK5_SY16: ( $i > $i > $o ) > $i ).

thf(tp_sK6_SY17,type,
    sK6_SY17: ( $i > $i > $o ) > $i ).

thf(tp_sK7_SY18,type,
    sK7_SY18: ( $i > $i > $o ) > $i ).

thf(tp_sK8_SY19,type,
    sK8_SY19: ( $i > $i > $o ) > $i ).

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

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

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

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

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

thf(41,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_023) ).

thf(53,axiom,
    ! [TIME: $i,SITUATION: $o] :
      ( ( holdsDuring_THFTYPE_IiooI @ TIME @ ~ SITUATION )
     => ~ ( holdsDuring_THFTYPE_IiooI @ TIME @ SITUATION ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_011) ).

thf(56,axiom,
    ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
    @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_008) ).

thf(59,axiom,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_005) ).

thf(61,axiom,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_003) ).

thf(65,conjecture,
    ? [R: $i > $i > $o] :
      ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ( ( R @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        & ( R @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        & ~ ! [A: $i,B: $i] : ( R @ A @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

thf(66,negated_conjecture,
    ( ( ? [R: $i > $i > $o] :
          ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ( ( R @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
            & ( R @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
            & ~ ! [A: $i,B: $i] : ( R @ A @ B ) ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[65]) ).

thf(67,plain,
    ( ( ? [R: $i > $i > $o] :
          ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ( ( R @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
            & ( R @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
            & ~ ! [A: $i,B: $i] : ( R @ A @ B ) ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[66]) ).

thf(68,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)],[41]) ).

thf(69,plain,
    ( ( ! [TIME: $i,SITUATION: $o] :
          ( ( holdsDuring_THFTYPE_IiooI @ TIME @ ~ SITUATION )
         => ~ ( holdsDuring_THFTYPE_IiooI @ TIME @ SITUATION ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[53]) ).

thf(71,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
    = $true ),
    inference(unfold_def,[status(thm)],[56]) ).

thf(73,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
    = $true ),
    inference(unfold_def,[status(thm)],[59]) ).

thf(75,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
    = $true ),
    inference(unfold_def,[status(thm)],[61]) ).

thf(76,plain,
    ( ( ~ ? [R: $i > $i > $o] :
            ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
            @ ( ( R @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
              & ( R @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
              & ~ ! [A: $i,B: $i] : ( R @ A @ B ) ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[67]) ).

thf(77,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[75]) ).

thf(79,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[73]) ).

thf(81,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
    = $true ),
    inference(copy,[status(thm)],[71]) ).

thf(83,plain,
    ( ( ! [TIME: $i,SITUATION: $o] :
          ( ( holdsDuring_THFTYPE_IiooI @ TIME @ ~ SITUATION )
         => ~ ( holdsDuring_THFTYPE_IiooI @ TIME @ SITUATION ) ) )
    = $true ),
    inference(copy,[status(thm)],[69]) ).

thf(84,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)],[68]) ).

thf(85,plain,
    ( ( ~ ? [R: $i > $i > $o] :
            ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
            @ ( ( R @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
              & ( R @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
              & ~ ! [A: $i,B: $i] : ( R @ A @ B ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[76]) ).

thf(86,plain,
    ( ( ! [SX0: $i,SX1: $o] :
          ( ~ ( holdsDuring_THFTYPE_IiooI @ SX0 @ ~ SX1 )
          | ~ ( holdsDuring_THFTYPE_IiooI @ SX0 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[83]) ).

thf(87,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)],[84]) ).

thf(88,plain,
    ( ( ~ ~ ! [SX0: $i > $i > $o] :
              ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
                @ ~ ( ~ ~ ( ~ ( SX0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                          | ~ ( SX0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
                    | ~ ~ ! [SX1: $i,SX2: $i] : ( SX0 @ SX1 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[85]) ).

thf(89,plain,
    ! [SV1: $i] :
      ( ( ! [SY8: $o] :
            ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SY8 )
            | ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ SY8 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[86]) ).

thf(90,plain,
    ! [SV2: $o] :
      ( ( ! [SY9: $i,SY10: $i] :
            ( ~ ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SY10 @ SV2 )
                  | ~ ( temporalPart_THFTYPE_IiioI @ SY9 @ SY10 ) )
            | ( holdsDuring_THFTYPE_IiooI @ SY9 @ SV2 ) ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[87]) ).

thf(91,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)],[87]) ).

thf(92,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)],[87]) ).

thf(93,plain,
    ( ( ~ ! [SX0: $i > $i > $o] :
            ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
              @ ~ ( ~ ~ ( ~ ( SX0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                        | ~ ( SX0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
                  | ~ ~ ! [SX1: $i,SX2: $i] : ( SX0 @ SX1 @ SX2 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[88]) ).

thf(94,plain,
    ! [SV3: $o,SV1: $i] :
      ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SV3 )
        | ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ SV3 ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[89]) ).

thf(95,plain,
    ! [SV1: $i] :
      ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $true )
        | ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ $true ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[89]) ).

thf(96,plain,
    ! [SV1: $i] :
      ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $false )
        | ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ $false ) )
      = $true ),
    inference(extcnf_forall_special_pos,[status(thm)],[89]) ).

thf(97,plain,
    ! [SV4: $i,SV2: $o] :
      ( ( ! [SY11: $i] :
            ( ~ ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SY11 @ SV2 )
                  | ~ ( temporalPart_THFTYPE_IiioI @ SV4 @ SY11 ) )
            | ( holdsDuring_THFTYPE_IiooI @ SV4 @ SV2 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[90]) ).

thf(98,plain,
    ! [SV5: $i] :
      ( ( ! [SY12: $i] :
            ( ~ ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SY12 @ $true )
                  | ~ ( temporalPart_THFTYPE_IiioI @ SV5 @ SY12 ) )
            | ( holdsDuring_THFTYPE_IiooI @ SV5 @ $true ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[91]) ).

thf(99,plain,
    ! [SV6: $i] :
      ( ( ! [SY13: $i] :
            ( ~ ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SY13 @ $false )
                  | ~ ( temporalPart_THFTYPE_IiioI @ SV6 @ SY13 ) )
            | ( holdsDuring_THFTYPE_IiooI @ SV6 @ $false ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[92]) ).

thf(100,plain,
    ( ( ! [SX0: $i > $i > $o] :
          ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
            @ ~ ( ~ ~ ( ~ ( SX0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                      | ~ ( SX0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
                | ~ ~ ! [SX1: $i,SX2: $i] : ( SX0 @ SX1 @ SX2 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[93]) ).

thf(101,plain,
    ! [SV3: $o,SV1: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SV3 ) )
        = $true )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ SV3 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[94]) ).

thf(102,plain,
    ! [SV1: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $true ) )
        = $true )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ $true ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[95]) ).

thf(103,plain,
    ! [SV1: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $false ) )
        = $true )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ $false ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[96]) ).

thf(104,plain,
    ! [SV4: $i,SV2: $o,SV7: $i] :
      ( ( ~ ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV7 @ SV2 )
              | ~ ( temporalPart_THFTYPE_IiioI @ SV4 @ SV7 ) )
        | ( holdsDuring_THFTYPE_IiooI @ SV4 @ SV2 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[97]) ).

thf(105,plain,
    ! [SV5: $i,SV8: $i] :
      ( ( ~ ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV8 @ $true )
              | ~ ( temporalPart_THFTYPE_IiioI @ SV5 @ SV8 ) )
        | ( holdsDuring_THFTYPE_IiooI @ SV5 @ $true ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[98]) ).

thf(106,plain,
    ! [SV6: $i,SV9: $i] :
      ( ( ~ ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV9 @ $false )
              | ~ ( temporalPart_THFTYPE_IiioI @ SV6 @ SV9 ) )
        | ( holdsDuring_THFTYPE_IiooI @ SV6 @ $false ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[99]) ).

thf(107,plain,
    ! [SV10: $i > $i > $o] :
      ( ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
            @ ~ ( ~ ~ ( ~ ( SV10 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                      | ~ ( SV10 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
                | ~ ~ ! [SY14: $i,SY15: $i] : ( SV10 @ SY14 @ SY15 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[100]) ).

thf(108,plain,
    ! [SV3: $o,SV1: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SV3 )
        = $false )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ SV3 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[101]) ).

thf(109,plain,
    ! [SV1: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $true )
        = $false )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ $true ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[102]) ).

thf(110,plain,
    ! [SV1: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $false )
        = $false )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ $false ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[103]) ).

thf(111,plain,
    ! [SV4: $i,SV2: $o,SV7: $i] :
      ( ( ( ~ ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV7 @ SV2 )
                | ~ ( temporalPart_THFTYPE_IiioI @ SV4 @ SV7 ) ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ SV2 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[104]) ).

thf(112,plain,
    ! [SV5: $i,SV8: $i] :
      ( ( ( ~ ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV8 @ $true )
                | ~ ( temporalPart_THFTYPE_IiioI @ SV5 @ SV8 ) ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV5 @ $true )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[105]) ).

thf(113,plain,
    ! [SV6: $i,SV9: $i] :
      ( ( ( ~ ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV9 @ $false )
                | ~ ( temporalPart_THFTYPE_IiioI @ SV6 @ SV9 ) ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ $false )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[106]) ).

thf(114,plain,
    ! [SV10: $i > $i > $o] :
      ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( ~ ~ ( ~ ( SV10 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                  | ~ ( SV10 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
            | ~ ~ ! [SY14: $i,SY15: $i] : ( SV10 @ SY14 @ SY15 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[107]) ).

thf(115,plain,
    ! [SV3: $o,SV1: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ SV3 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SV3 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[108]) ).

thf(116,plain,
    ! [SV1: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ $true )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[109]) ).

thf(117,plain,
    ! [SV1: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ $false )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $false )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[110]) ).

thf(118,plain,
    ! [SV4: $i,SV2: $o,SV7: $i] :
      ( ( ( ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV7 @ SV2 )
              | ~ ( temporalPart_THFTYPE_IiioI @ SV4 @ SV7 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ SV2 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[111]) ).

thf(119,plain,
    ! [SV5: $i,SV8: $i] :
      ( ( ( ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV8 @ $true )
              | ~ ( temporalPart_THFTYPE_IiioI @ SV5 @ SV8 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV5 @ $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[112]) ).

thf(120,plain,
    ! [SV6: $i,SV9: $i] :
      ( ( ( ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV9 @ $false )
              | ~ ( temporalPart_THFTYPE_IiioI @ SV6 @ SV9 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ $false )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[113]) ).

thf(121,plain,
    ! [SV4: $i,SV2: $o,SV7: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV7 @ SV2 )
          | ~ ( temporalPart_THFTYPE_IiioI @ SV4 @ SV7 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ SV2 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[118]) ).

thf(122,plain,
    ! [SV5: $i,SV8: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV8 @ $true )
          | ~ ( temporalPart_THFTYPE_IiioI @ SV5 @ SV8 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV5 @ $true )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[119]) ).

thf(123,plain,
    ! [SV6: $i,SV9: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV9 @ $false )
          | ~ ( temporalPart_THFTYPE_IiioI @ SV6 @ SV9 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ $false )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[120]) ).

thf(124,plain,
    ! [SV4: $i,SV2: $o,SV7: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV7 @ SV2 ) )
        = $true )
      | ( ( ~ ( temporalPart_THFTYPE_IiioI @ SV4 @ SV7 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ SV2 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[121]) ).

thf(125,plain,
    ! [SV5: $i,SV8: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV8 @ $true ) )
        = $true )
      | ( ( ~ ( temporalPart_THFTYPE_IiioI @ SV5 @ SV8 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV5 @ $true )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[122]) ).

thf(126,plain,
    ! [SV6: $i,SV9: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV9 @ $false ) )
        = $true )
      | ( ( ~ ( temporalPart_THFTYPE_IiioI @ SV6 @ SV9 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ $false )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[123]) ).

thf(127,plain,
    ! [SV4: $i,SV2: $o,SV7: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV7 @ SV2 )
        = $false )
      | ( ( ~ ( temporalPart_THFTYPE_IiioI @ SV4 @ SV7 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ SV2 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[124]) ).

thf(128,plain,
    ! [SV5: $i,SV8: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV8 @ $true )
        = $false )
      | ( ( ~ ( temporalPart_THFTYPE_IiioI @ SV5 @ SV8 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV5 @ $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[125]) ).

thf(129,plain,
    ! [SV6: $i,SV9: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV9 @ $false )
        = $false )
      | ( ( ~ ( temporalPart_THFTYPE_IiioI @ SV6 @ SV9 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ $false )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[126]) ).

thf(130,plain,
    ! [SV2: $o,SV7: $i,SV4: $i] :
      ( ( ( temporalPart_THFTYPE_IiioI @ SV4 @ SV7 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV7 @ SV2 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV4 @ SV2 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[127]) ).

thf(131,plain,
    ! [SV8: $i,SV5: $i] :
      ( ( ( temporalPart_THFTYPE_IiioI @ SV5 @ SV8 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV8 @ $true )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV5 @ $true )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[128]) ).

thf(132,plain,
    ! [SV9: $i,SV6: $i] :
      ( ( ( temporalPart_THFTYPE_IiioI @ SV6 @ SV9 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV9 @ $false )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV6 @ $false )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[129]) ).

thf(133,plain,
    ! [SV3: $o,SV1: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SV3 )
        = $false )
      | ( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ SV3 )
          = ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SV3 ) )
        = $false ) ),
    inference(fac_restr,[status(thm)],[115]) ).

thf(134,plain,
    ! [SV1: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $true )
        = $false )
      | ( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ $true )
          = ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $true ) )
        = $false ) ),
    inference(fac_restr,[status(thm)],[116]) ).

thf(135,plain,
    ! [SV1: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $false )
        = $false )
      | ( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ $false )
          = ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $false ) )
        = $false ) ),
    inference(fac_restr,[status(thm)],[117]) ).

thf(136,plain,
    ! [SV3: $o,SV1: $i] :
      ( ( ( ~ ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ SV3 )
              | ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SV3 ) )
          | ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ SV3 )
              | ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SV3 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SV3 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[133]) ).

thf(138,plain,
    ! [SV1: $i] :
      ( ( ( ~ ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ $true )
              | ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $true ) )
          | ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ $true )
              | ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $true ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $true )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[134]) ).

thf(140,plain,
    ! [SV1: $i] :
      ( ( ( ~ ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ $false )
              | ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $false ) )
          | ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ $false )
              | ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $false ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $false )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[135]) ).

thf(143,plain,
    ! [SV3: $o,SV1: $i] :
      ( ( ( ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ SV3 )
              | ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SV3 ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SV3 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[136]) ).

thf(145,plain,
    ! [SV1: $i] :
      ( ( ( ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ $true )
              | ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $true ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $true )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[138]) ).

thf(147,plain,
    ! [SV1: $i] :
      ( ( ( ~ ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ $false )
              | ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $false ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $false )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[140]) ).

thf(149,plain,
    ! [SV3: $o,SV1: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ SV3 )
          | ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SV3 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SV3 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[143]) ).

thf(151,plain,
    ! [SV1: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ $true )
          | ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $true ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $true )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[145]) ).

thf(153,plain,
    ! [SV1: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ $false )
          | ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $false ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $false )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[147]) ).

thf(155,plain,
    ! [SV3: $o,SV1: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ SV3 ) )
        = $true )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SV3 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SV3 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[149]) ).

thf(157,plain,
    ! [SV1: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ $true ) )
        = $true )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $true ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $true )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[151]) ).

thf(159,plain,
    ! [SV1: $i] :
      ( ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ $false ) )
        = $true )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $false ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $false )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[153]) ).

thf(160,plain,
    ! [SV3: $o,SV1: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ SV3 )
        = $false )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SV3 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SV3 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[155]) ).

thf(161,plain,
    ! [SV1: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ $true )
        = $false )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $true ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[157]) ).

thf(162,plain,
    ! [SV1: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ $false )
        = $false )
      | ( ( ~ ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $false ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $false )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[159]) ).

thf(163,plain,
    ! [SV3: $o,SV1: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SV3 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ SV3 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SV3 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[160]) ).

thf(164,plain,
    ! [SV1: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $true )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ $true )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $true )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[161]) ).

thf(165,plain,
    ! [SV1: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $false )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ $false )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $false )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[162]) ).

thf(174,plain,
    ! [SV3: $o,SV1: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ SV3 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ SV3 )
        = $false ) ),
    inference(sim,[status(thm)],[163]) ).

thf(175,plain,
    ! [SV1: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $true )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ $true )
        = $false ) ),
    inference(sim,[status(thm)],[164]) ).

thf(176,plain,
    ! [SV1: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ ~ $false )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV1 @ $false )
        = $false ) ),
    inference(sim,[status(thm)],[165]) ).

thf(177,plain,
    ! [SV11: $i > $i > $o] :
      ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( ~ ~ ( ~ ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                  | ~ ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
            | ~ ~ ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) ) )
      = $false ),
    inference(rename,[status(thm)],[114]) ).

thf(178,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                    | ~ ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) ) )
        = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ) )
      = $false ),
    inference(res,[status(thm)],[177,81]) ).

thf(179,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                    | ~ ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) ) )
        = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
      = $false ),
    inference(res,[status(thm)],[177,79]) ).

thf(180,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
          @ ~ ( ~ ~ ( ~ ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                    | ~ ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) ) )
        = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
      = $false ),
    inference(res,[status(thm)],[177,77]) ).

thf(181,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                    | ~ ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[180]) ).

thf(182,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                    | ~ ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[180]) ).

thf(183,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                    | ~ ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[179]) ).

thf(184,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                    | ~ ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[179]) ).

thf(185,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                | ~ ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[178]) ).

thf(186,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                | ~ ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[178]) ).

thf(187,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                    | ~ ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extuni,[status(esa)],[178]) ).

thf(188,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ( ~ ~ ( ~ ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                    | ~ ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
              | ~ ~ ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[178]) ).

thf(189,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                | ~ ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[182]) ).

thf(190,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                | ~ ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[181]) ).

thf(191,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                | ~ ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[184]) ).

thf(192,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                | ~ ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[183]) ).

thf(193,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                | ~ ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[188]) ).

thf(194,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                | ~ ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
          | ~ ~ ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[187]) ).

thf(195,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                | ~ ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[186]) ).

thf(196,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[186]) ).

thf(197,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                | ~ ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[185]) ).

thf(198,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                | ~ ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[189]) ).

thf(199,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                | ~ ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[190]) ).

thf(200,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[190]) ).

thf(201,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                | ~ ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[191]) ).

thf(202,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                | ~ ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[192]) ).

thf(203,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[192]) ).

thf(204,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                | ~ ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[193]) ).

thf(205,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ~ ( ~ ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
                | ~ ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[194]) ).

thf(206,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[194]) ).

thf(207,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
              | ~ ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[195]) ).

thf(208,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[196]) ).

thf(209,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
              | ~ ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[197]) ).

thf(210,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
              | ~ ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[198]) ).

thf(211,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
              | ~ ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[199]) ).

thf(212,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[200]) ).

thf(213,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
              | ~ ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[201]) ).

thf(214,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
              | ~ ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[202]) ).

thf(215,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[203]) ).

thf(216,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
              | ~ ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[204]) ).

thf(217,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ( ~ ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
              | ~ ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[205]) ).

thf(218,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[206]) ).

thf(219,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
          | ~ ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[207]) ).

thf(220,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[208]) ).

thf(221,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
          | ~ ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[209]) ).

thf(222,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
          | ~ ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[210]) ).

thf(223,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
          | ~ ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[211]) ).

thf(224,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[212]) ).

thf(225,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
          | ~ ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[213]) ).

thf(226,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
          | ~ ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[214]) ).

thf(227,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[215]) ).

thf(228,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
          | ~ ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[216]) ).

thf(229,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
          | ~ ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[217]) ).

thf(230,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[218]) ).

thf(231,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[219]) ).

thf(232,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[219]) ).

thf(233,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ! [SY16: $i] : ( SV11 @ ( sK1_SX0 @ SV11 ) @ SY16 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[220]) ).

thf(234,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[221]) ).

thf(235,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[222]) ).

thf(236,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[223]) ).

thf(237,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[223]) ).

thf(238,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ! [SY17: $i] : ( SV11 @ ( sK2_SX0 @ SV11 ) @ SY17 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[224]) ).

thf(239,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[225]) ).

thf(240,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[226]) ).

thf(241,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[226]) ).

thf(242,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ! [SY18: $i] : ( SV11 @ ( sK3_SX0 @ SV11 ) @ SY18 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[227]) ).

thf(243,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[228]) ).

thf(244,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[229]) ).

thf(245,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[229]) ).

thf(246,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ! [SY19: $i] : ( SV11 @ ( sK4_SX0 @ SV11 ) @ SY19 ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[230]) ).

thf(247,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[231]) ).

thf(248,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[232]) ).

thf(249,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( SV11 @ ( sK1_SX0 @ SV11 ) @ ( sK5_SY16 @ SV11 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[233]) ).

thf(250,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[234]) ).

thf(251,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[235]) ).

thf(252,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[236]) ).

thf(253,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[237]) ).

thf(254,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( SV11 @ ( sK2_SX0 @ SV11 ) @ ( sK6_SY17 @ SV11 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[238]) ).

thf(255,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[239]) ).

thf(256,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[240]) ).

thf(257,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[241]) ).

thf(258,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( SV11 @ ( sK3_SX0 @ SV11 ) @ ( sK7_SY18 @ SV11 ) )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[242]) ).

thf(259,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
        = $true )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[243]) ).

thf(260,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[244]) ).

thf(261,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[245]) ).

thf(262,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( SV11 @ ( sK4_SX0 @ SV11 ) @ ( sK8_SY19 @ SV11 ) )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[246]) ).

thf(263,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[250]) ).

thf(264,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[251]) ).

thf(265,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) )
        = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[255]) ).

thf(266,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ~ ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) )
        = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[259]) ).

thf(267,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false )
      | ( ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[260]) ).

thf(268,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false )
      | ( ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[261]) ).

thf(269,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false )
      | ( ( SV11 @ ( sK4_SX0 @ SV11 ) @ ( sK8_SY19 @ SV11 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[262]) ).

thf(270,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[263]) ).

thf(271,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[264]) ).

thf(272,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[265]) ).

thf(273,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ~ ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) )
        = $false )
      | ( ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[266]) ).

thf(274,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[270]) ).

thf(275,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[271]) ).

thf(276,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[272]) ).

thf(277,plain,
    ! [SV11: $i > $i > $o] :
      ( ( ( ! [SX0: $i,SX1: $i] : ( SV11 @ SX0 @ SX1 ) )
        = $true )
      | ( ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[273]) ).

thf(278,plain,
    ! [SV12: $i,SV11: $i > $i > $o] :
      ( ( ( ! [SY20: $i] : ( SV11 @ SV12 @ SY20 ) )
        = $true )
      | ( ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[274]) ).

thf(279,plain,
    ! [SV13: $i,SV11: $i > $i > $o] :
      ( ( ( ! [SY21: $i] : ( SV11 @ SV13 @ SY21 ) )
        = $true )
      | ( ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[275]) ).

thf(280,plain,
    ! [SV14: $i,SV11: $i > $i > $o] :
      ( ( ( ! [SY22: $i] : ( SV11 @ SV14 @ SY22 ) )
        = $true )
      | ( ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[276]) ).

thf(281,plain,
    ! [SV15: $i,SV11: $i > $i > $o] :
      ( ( ( ! [SY23: $i] : ( SV11 @ SV15 @ SY23 ) )
        = $true )
      | ( ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[277]) ).

thf(282,plain,
    ! [SV16: $i,SV12: $i,SV11: $i > $i > $o] :
      ( ( ( SV11 @ SV12 @ SV16 )
        = $true )
      | ( ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[278]) ).

thf(283,plain,
    ! [SV17: $i,SV13: $i,SV11: $i > $i > $o] :
      ( ( ( SV11 @ SV13 @ SV17 )
        = $true )
      | ( ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[279]) ).

thf(284,plain,
    ! [SV18: $i,SV14: $i,SV11: $i > $i > $o] :
      ( ( ( SV11 @ SV14 @ SV18 )
        = $true )
      | ( ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[280]) ).

thf(285,plain,
    ! [SV19: $i,SV15: $i,SV11: $i > $i > $o] :
      ( ( ( SV11 @ SV15 @ SV19 )
        = $true )
      | ( ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[281]) ).

thf(286,plain,
    ! [SV19: $i,SV15: $i,SV11: $i > $i > $o] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true )
      | ( ( SV11 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV11 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false )
      | ( ( SV11 @ SV15 @ SV19 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[285]) ).

thf(287,plain,
    ! [SV20: $o,SV21: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ SV21 @ SV20 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV21 @ ~ SV20 )
        = $false ) ),
    inference(rename,[status(thm)],[115]) ).

thf(288,plain,
    ! [SV20: $o,SV21: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV21 @ ~ SV20 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
            @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV21 @ SV20 )
        = $false ) ),
    inference(res,[status(thm)],[287,81]) ).

thf(289,plain,
    ! [SV20: $o,SV21: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV21 @ SV20 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
            @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV21 @ ~ SV20 )
        = $false ) ),
    inference(res,[status(thm)],[287,81]) ).

thf(290,plain,
    ! [SV20: $o,SV21: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV21 @ ~ SV20 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV21 @ SV20 )
        = $false ) ),
    inference(res,[status(thm)],[287,79]) ).

thf(291,plain,
    ! [SV20: $o,SV21: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV21 @ SV20 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV21 @ ~ SV20 )
        = $false ) ),
    inference(res,[status(thm)],[287,79]) ).

thf(292,plain,
    ! [SV20: $o,SV21: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV21 @ ~ SV20 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV21 @ SV20 )
        = $false ) ),
    inference(res,[status(thm)],[287,77]) ).

thf(293,plain,
    ! [SV20: $o,SV21: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ SV21 @ SV20 )
          = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ SV21 @ ~ SV20 )
        = $false ) ),
    inference(res,[status(thm)],[287,77]) ).

thf(295,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
    = $false ),
    inference(extuni,[status(esa)],[293:[bind(SV20,$thf( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )),bind(SV21,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(296,plain,
    ! [SV20: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV20 )
        = $false )
      | ( ( ~ SV20 ) = $true )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[292:[bind(SV21,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(297,plain,
    ! [SV20: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV20 )
        = $false )
      | ( ( ~ SV20 ) = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[292:[bind(SV21,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(298,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
    = $false ),
    inference(extuni,[status(esa)],[291:[bind(SV20,$thf( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )),bind(SV21,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(299,plain,
    ! [SV20: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV20 )
        = $false )
      | ( ( ~ SV20 ) = $true )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extuni,[status(esa)],[290:[bind(SV21,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(300,plain,
    ! [SV20: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV20 )
        = $false )
      | ( ( ~ SV20 ) = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extuni,[status(esa)],[290:[bind(SV21,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(301,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
    = $false ),
    inference(extuni,[status(esa)],[289:[bind(SV20,$thf( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )),bind(SV21,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(302,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
    = $false ),
    inference(extuni,[status(esa)],[288:[bind(SV20,$thf( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )),bind(SV21,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(303,plain,
    ! [SV20: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV20 )
        = $false )
      | ( ( ~ SV20 ) = $true )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extuni,[status(esa)],[288:[bind(SV21,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(304,plain,
    ! [SV20: $o] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV20 )
        = $false )
      | ( ( ~ SV20 ) = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[288:[bind(SV21,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).

thf(305,plain,
    ! [SV20: $o] :
      ( ( SV20 = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV20 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[297]) ).

thf(306,plain,
    ! [SV20: $o] :
      ( ( SV20 = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV20 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[296]) ).

thf(307,plain,
    ! [SV20: $o] :
      ( ( SV20 = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV20 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[300]) ).

thf(308,plain,
    ! [SV20: $o] :
      ( ( SV20 = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV20 )
        = $false )
      | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[299]) ).

thf(309,plain,
    ! [SV20: $o] :
      ( ( SV20 = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV20 )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[304]) ).

thf(310,plain,
    ! [SV20: $o] :
      ( ( SV20 = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV20 )
        = $false )
      | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[303]) ).

thf(311,plain,
    ! [SV20: $o] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV20 )
        = $false )
      | ( SV20 = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[309]) ).

thf(312,plain,
    ! [SV20: $o] :
      ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ SV20 )
        = $false )
      | ( SV20 = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[310]) ).

thf(313,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[295,81]) ).

thf(314,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
        @ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[295,79]) ).

thf(318,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)],[314]) ).

thf(319,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)],[314]) ).

thf(320,plain,
    ( ( lBill_THFTYPE_i = lMary_THFTYPE_i )
    = $false ),
    inference(extuni,[status(esa)],[313]) ).

thf(321,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $true ) ),
    inference(extuni,[status(esa)],[313]) ).

thf(322,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $false ) ),
    inference(extuni,[status(esa)],[313]) ).

thf(323,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $true )
    | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $true ) ),
    inference(extuni,[status(esa)],[313]) ).

thf(324,plain,
    ( ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
      = $false )
    | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $false ) ),
    inference(extuni,[status(esa)],[313]) ).

thf(327,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[319]) ).

thf(328,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[318]) ).

thf(329,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true )
    | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[324]) ).

thf(330,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false )
    | ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[323]) ).

thf(331,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $true )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[329]) ).

thf(332,plain,
    ( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
      = $false )
    | ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[330]) ).

thf(333,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[77,332,331,328,327,322,321,320,312,311,308,307,306,305,302,301,298,295,287,286,284,283,282,269,268,267,258,257,256,254,253,252,249,248,247,177,176,175,174,132,131,130,117,116,81,79]) ).

thf(334,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[333]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR130^2 : 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/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.18  % Computer : n002.cluster.edu
% 0.08/0.18  % Model    : x86_64 x86_64
% 0.08/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18  % Memory   : 8046.5625MB
% 0.08/0.18  % OS       : Linux 6.8.0-71-generic
% 0.08/0.18  % CPULimit : 300
% 0.08/0.18  % WCLimit  : 300
% 0.08/0.18  % DateTime : Tue Oct  6 18:58:12 UTC 2026
% 0.08/0.18  % CPUTime  : 
% 0.08/0.18  Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.34  
% 0.47/0.34   No.of.Axioms: 8
% 0.47/0.34  
% 0.47/0.34   Length.of.Defs: 0
% 0.47/0.34  
% 0.47/0.34   Contains.Choice.Funs: false
% 0.47/0.34  .....
% 0.47/0.34  
% 0.47/0.34  ********************************
% 0.47/0.34  *   All subproblems solved!    *
% 0.47/0.34  ********************************
% 0.47/0.34  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:8,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:333,loop_count:10,foatp_calls:4,translation:fof_full)
% 0.47/0.34  
% 0.47/0.34  %**** Beginning of derivation protocol ****
% 0.47/0.34  % SZS output start CNFRefutation
% See solution above
% 0.47/0.34  
% 0.47/0.34  %**** End of derivation protocol ****
% 0.47/0.34  %**** no. of clauses in derivation: 243 ****
% 0.47/0.34  %**** clause counter: 333 ****
% 0.47/0.34  
% 0.47/0.34  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:8,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:333,loop_count:10,foatp_calls:4,translation:fof_full)
%------------------------------------------------------------------------------