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Leo-III---1.8.0.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : CSR143^2 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39

% Computer : n004.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 Sep 30 07:46:59 AM UTC 2026

% Result   : Theorem 100.98s 21.13s
% Output   : Refutation 102.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :  149
% Syntax   : Number of formulae    :  532 ( 121 unt;   0 typ;   4 def)
%            Number of atoms       : 1466 ( 377 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives : 3195 ( 463   ~; 388   |;  63   &;2212   @)
%                                         (   0 <=>;  69  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :   54 (  54   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   84 (  81 usr;  34 con; 0-3 aty)
%            Number of variables   :  550 (  19   ^; 517   !;  10   ?; 550   :)
%                                         (   0  !>;   0  ?*;   0  @-;   4  @+)

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

thf(attribute_THFTYPE_IiioI_decl,type,
    attribute_THFTYPE_IiioI: $i > $i > $o ).

thf(before_THFTYPE_IiioI_decl,type,
    before_THFTYPE_IiioI: $i > $i > $o ).

thf(disjointRelation_THFTYPE_IiioI_decl,type,
    disjointRelation_THFTYPE_IiioI: $i > $i > $o ).

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

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

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

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

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

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

thf(duration_THFTYPE_IiioI_decl,type,
    duration_THFTYPE_IiioI: $i > $i > $o ).

thf(greaterThanOrEqualTo_THFTYPE_IiioI_decl,type,
    greaterThanOrEqualTo_THFTYPE_IiioI: $i > $i > $o ).

thf(greaterThan_THFTYPE_IiioI_decl,type,
    greaterThan_THFTYPE_IiioI: $i > $i > $o ).

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

thf(husband_THFTYPE_IiioI_decl,type,
    husband_THFTYPE_IiioI: $i > $i > $o ).

thf(inList_THFTYPE_IiioI_decl,type,
    inList_THFTYPE_IiioI: $i > $i > $o ).

thf(instance_THFTYPE_IIIiioIIiioIoIioI_decl,type,
    instance_THFTYPE_IIIiioIIiioIoIioI: ( ( $i > $i > $o ) > ( $i > $i > $o ) > $o ) > $i > $o ).

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

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

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

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

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

thf(inverse_THFTYPE_IIiioIIiioIoI_decl,type,
    inverse_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).

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

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

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

thf(lBinaryRelation_THFTYPE_i_decl,type,
    lBinaryRelation_THFTYPE_i: $i ).

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

thf(lChris_THFTYPE_i_decl,type,
    lChris_THFTYPE_i: $i ).

thf(lCorina_THFTYPE_i_decl,type,
    lCorina_THFTYPE_i: $i ).

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

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

thf(lFemale_THFTYPE_i_decl,type,
    lFemale_THFTYPE_i: $i ).

thf(lHuman_THFTYPE_i_decl,type,
    lHuman_THFTYPE_i: $i ).

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

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

thf(lMale_THFTYPE_i_decl,type,
    lMale_THFTYPE_i: $i ).

thf(lMan_THFTYPE_i_decl,type,
    lMan_THFTYPE_i: $i ).

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

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

thf(lPartialOrderingRelation_THFTYPE_i_decl,type,
    lPartialOrderingRelation_THFTYPE_i: $i ).

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

thf(lSingleValuedRelation_THFTYPE_i_decl,type,
    lSingleValuedRelation_THFTYPE_i: $i ).

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

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

thf(lTernaryPredicate_THFTYPE_i_decl,type,
    lTernaryPredicate_THFTYPE_i: $i ).

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

thf(lTimePoint_THFTYPE_i_decl,type,
    lTimePoint_THFTYPE_i: $i ).

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

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

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

thf(lWoman_THFTYPE_i_decl,type,
    lWoman_THFTYPE_i: $i ).

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

thf(lYearFn_THFTYPE_i_decl,type,
    lYearFn_THFTYPE_i: $i ).

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

thf(lessThanOrEqualTo_THFTYPE_IiioI_decl,type,
    lessThanOrEqualTo_THFTYPE_IiioI: $i > $i > $o ).

thf(lessThan_THFTYPE_IiioI_decl,type,
    lessThan_THFTYPE_IiioI: $i > $i > $o ).

thf(lt_THFTYPE_IiioI_decl,type,
    lt_THFTYPE_IiioI: $i > $i > $o ).

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

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

thf(n1_THFTYPE_i_decl,type,
    n1_THFTYPE_i: $i ).

thf(n2009_THFTYPE_i_decl,type,
    n2009_THFTYPE_i: $i ).

thf(n2_THFTYPE_i_decl,type,
    n2_THFTYPE_i: $i ).

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

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

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

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

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

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

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

thf(spouse_THFTYPE_i_decl,type,
    spouse_THFTYPE_i: $i ).

thf(subAttribute_THFTYPE_IiioI_decl,type,
    subAttribute_THFTYPE_IiioI: $i > $i > $o ).

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

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

thf(subrelation_THFTYPE_IIiioIioI_decl,type,
    subrelation_THFTYPE_IIiioIioI: ( $i > $i > $o ) > $i > $o ).

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

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

thf(wife_THFTYPE_IiioI_decl,type,
    wife_THFTYPE_IiioI: $i > $i > $o ).

thf(sk1_decl,type,
    sk1: $i ).

thf(sk2_decl,type,
    sk2: $i > $i ).

thf(sk3_decl,type,
    sk3: $i > $i ).

thf(sk41_decl,type,
    sk41: ( $i > $i > $o ) > $i ).

thf(sk1_def,definition,
    ( sk1
    = ( @+[A: $i] : ( instance_THFTYPE_IiioI @ A @ lEntity_THFTYPE_i ) ) ) ).

thf(sk2_def,definition,
    ( sk2
    = ( ^ [A: $i] :
        @+[B: $i] :
          ( ( instance_THFTYPE_IiioI @ B @ lTimePoint_THFTYPE_i )
          & ( temporalPart_THFTYPE_IiioI @ B @ A ) ) ) ) ).

thf(sk3_def,definition,
    ( sk3
    = ( ^ [A: $i] :
        @+[B: $i] :
          ( ( instance_THFTYPE_IiioI @ B @ lTimeInterval_THFTYPE_i )
          & ( temporalPart_THFTYPE_IiioI @ A @ B ) ) ) ) ).

thf(sk41_def,definition,
    ( sk41
    = ( ^ [A: $i > $i > $o] :
        @+[B: $i] :
          ~ ~ ( A @ B @ B ) ) ) ).

thf(127,axiom,
    instance_THFTYPE_IiioI @ spouse_THFTYPE_i @ lIrreflexiveRelation_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_177) ).

thf(327,plain,
    instance_THFTYPE_IiioI @ spouse_THFTYPE_i @ lIrreflexiveRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[127]) ).

thf(34,axiom,
    ! [A: $i] :
      ( ( instance_THFTYPE_IiioI @ A @ lTimeInterval_THFTYPE_i )
     => ? [B: $i] :
          ( ( instance_THFTYPE_IiioI @ B @ lTimePoint_THFTYPE_i )
          & ( temporalPart_THFTYPE_IiioI @ B @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_052) ).

thf(197,plain,
    ! [A: $i] :
      ( ( instance_THFTYPE_IiioI @ A @ lTimeInterval_THFTYPE_i )
     => ? [B: $i] :
          ( ( instance_THFTYPE_IiioI @ B @ lTimePoint_THFTYPE_i )
          & ( temporalPart_THFTYPE_IiioI @ B @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).

thf(198,plain,
    ! [A: $i] :
      ( ( ~ ( instance_THFTYPE_IiioI @ A @ lTimeInterval_THFTYPE_i )
        | ( instance_THFTYPE_IiioI @ ( sk2 @ A ) @ lTimePoint_THFTYPE_i ) )
      & ( ~ ( instance_THFTYPE_IiioI @ A @ lTimeInterval_THFTYPE_i )
        | ( temporalPart_THFTYPE_IiioI @ ( sk2 @ A ) @ A ) ) ),
    inference(cnf,[status(esa)],[197]) ).

thf(200,plain,
    ! [A: $i] :
      ( ~ ( instance_THFTYPE_IiioI @ A @ lTimeInterval_THFTYPE_i )
      | ( temporalPart_THFTYPE_IiioI @ ( sk2 @ A ) @ A ) ),
    inference(cnfConj,[status(thm)],[198]) ).

thf(12014,plain,
    ! [A: $i] :
      ( ~ $true
      | ( temporalPart_THFTYPE_IiioI @ ( sk2 @ A ) @ A )
      | ( ( instance_THFTYPE_IiioI @ spouse_THFTYPE_i @ lIrreflexiveRelation_THFTYPE_i )
       != ( instance_THFTYPE_IiioI @ A @ lTimeInterval_THFTYPE_i ) ) ),
    inference(paramod_ordered,[status(thm)],[327,200]) ).

thf(12015,plain,
    ! [A: $i] :
      ( ( temporalPart_THFTYPE_IiioI @ ( sk2 @ A ) @ A )
      | ( ( instance_THFTYPE_IiioI @ spouse_THFTYPE_i @ lIrreflexiveRelation_THFTYPE_i )
       != ( instance_THFTYPE_IiioI @ A @ lTimeInterval_THFTYPE_i ) ) ),
    inference(simp,[status(thm)],[12014]) ).

thf(12031,plain,
    ! [A: $i] :
      ( ( temporalPart_THFTYPE_IiioI @ ( sk2 @ A ) @ A )
      | ( spouse_THFTYPE_i != A )
      | ( lTimeInterval_THFTYPE_i != lIrreflexiveRelation_THFTYPE_i ) ),
    inference(simp,[status(thm)],[12015]) ).

thf(12055,plain,
    ( ( temporalPart_THFTYPE_IiioI @ ( sk2 @ spouse_THFTYPE_i ) @ spouse_THFTYPE_i )
    | ( lTimeInterval_THFTYPE_i != lIrreflexiveRelation_THFTYPE_i ) ),
    inference(simp,[status(thm)],[12031]) ).

thf(140,axiom,
    relatedInternalConcept_THFTYPE_IiIiiIoI @ lYear_THFTYPE_i @ lYearFn_THFTYPE_IiiI,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_250) ).

thf(347,plain,
    relatedInternalConcept_THFTYPE_IiIiiIoI @ lYear_THFTYPE_i @ lYearFn_THFTYPE_IiiI,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[140]) ).

thf(61,axiom,
    ! [A: $i,B: $i] :
      ( ( disjoint_THFTYPE_IiioI @ A @ B )
      = ( ! [C: $i] :
            ~ ( ( instance_THFTYPE_IiioI @ C @ A )
              & ( instance_THFTYPE_IiioI @ C @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_088) ).

thf(247,plain,
    ! [A: $i,B: $i] :
      ( ( disjoint_THFTYPE_IiioI @ A @ B )
      = ( ! [C: $i] :
            ~ ( ( instance_THFTYPE_IiioI @ C @ A )
              & ( instance_THFTYPE_IiioI @ C @ B ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).

thf(248,plain,
    ! [B: $i,A: $i] :
      ( ( disjoint_THFTYPE_IiioI @ A @ B )
      = ( ! [C: $i] :
            ~ ( ( instance_THFTYPE_IiioI @ C @ A )
              & ( instance_THFTYPE_IiioI @ C @ B ) ) ) ),
    inference(cnf,[status(esa)],[247]) ).

thf(249,plain,
    ! [B: $i,A: $i] :
      ( ( disjoint_THFTYPE_IiioI @ A @ B )
      = ( ! [C: $i] :
            ~ ( ( instance_THFTYPE_IiioI @ C @ A )
              & ( instance_THFTYPE_IiioI @ C @ B ) ) ) ),
    inference(lifteq,[status(thm)],[248]) ).

thf(52,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( subAttribute_THFTYPE_IiioI @ C @ B )
        & ( instance_THFTYPE_IiioI @ B @ A ) )
     => ( instance_THFTYPE_IiioI @ C @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_011) ).

thf(233,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( subAttribute_THFTYPE_IiioI @ C @ B )
        & ( instance_THFTYPE_IiioI @ B @ A ) )
     => ( instance_THFTYPE_IiioI @ C @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).

thf(234,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( subAttribute_THFTYPE_IiioI @ C @ B )
      | ~ ( instance_THFTYPE_IiioI @ B @ A )
      | ( instance_THFTYPE_IiioI @ C @ A ) ),
    inference(cnf,[status(esa)],[233]) ).

thf(144,axiom,
    domain_THFTYPE_IIiioIiioI @ husband_THFTYPE_IiioI @ n2_THFTYPE_i @ lWoman_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_118) ).

thf(352,plain,
    domain_THFTYPE_IIiioIiioI @ husband_THFTYPE_IiioI @ n2_THFTYPE_i @ lWoman_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[144]) ).

thf(15,axiom,
    ! [A: $i,B: $i] :
      ( ( parent_THFTYPE_IiioI @ A @ B )
     => ( before_THFTYPE_IiioI @ ( lBeginFn_THFTYPE_IiiI @ ( lWhenFn_THFTYPE_IiiI @ B ) ) @ ( lBeginFn_THFTYPE_IiiI @ ( lWhenFn_THFTYPE_IiiI @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_030) ).

thf(170,plain,
    ! [A: $i,B: $i] :
      ( ( parent_THFTYPE_IiioI @ A @ B )
     => ( before_THFTYPE_IiioI @ ( lBeginFn_THFTYPE_IiiI @ ( lWhenFn_THFTYPE_IiiI @ B ) ) @ ( lBeginFn_THFTYPE_IiiI @ ( lWhenFn_THFTYPE_IiiI @ A ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(112,axiom,
    instance_THFTYPE_IIiiIioI @ lCardinalityFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_132) ).

thf(308,plain,
    instance_THFTYPE_IIiiIioI @ lCardinalityFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[112]) ).

thf(77,axiom,
    instance_THFTYPE_IIiioIioI @ disjointRelation_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_164) ).

thf(269,plain,
    instance_THFTYPE_IIiioIioI @ disjointRelation_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).

thf(36,axiom,
    ! [A: $i,B: $i] :
      ( ( B = A )
     => ! [C: $i] :
          ( ( instance_THFTYPE_IiioI @ B @ C )
          = ( instance_THFTYPE_IiioI @ A @ C ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_036) ).

thf(202,plain,
    ! [A: $i,B: $i] :
      ( ( B = A )
     => ! [C: $i] :
          ( ( instance_THFTYPE_IiioI @ B @ C )
          = ( instance_THFTYPE_IiioI @ A @ C ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).

thf(42,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
      ( ( ( domainSubclass_THFTYPE_IiiioI @ E @ B @ C )
        & ( domainSubclass_THFTYPE_IiiioI @ A @ B @ D )
        & ( disjoint_THFTYPE_IiioI @ C @ D ) )
     => ( disjointRelation_THFTYPE_IiioI @ E @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_067) ).

thf(217,plain,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
      ( ( ( domainSubclass_THFTYPE_IiiioI @ E @ B @ C )
        & ( domainSubclass_THFTYPE_IiiioI @ A @ B @ D )
        & ( disjoint_THFTYPE_IiioI @ C @ D ) )
     => ( disjointRelation_THFTYPE_IiioI @ E @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).

thf(84,axiom,
    instance_THFTYPE_IIiioIioI @ parent_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_130) ).

thf(276,plain,
    instance_THFTYPE_IIiioIioI @ parent_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).

thf(43,axiom,
    instance_THFTYPE_IiioI @ lMonthFn_THFTYPE_i @ lTemporalRelation_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_163) ).

thf(219,plain,
    instance_THFTYPE_IiioI @ lMonthFn_THFTYPE_i @ lTemporalRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).

thf(110,axiom,
    ! [A: $i,B: $i] :
      ( ( ( instance_THFTYPE_IiioI @ B @ lYear_THFTYPE_i )
        & ( instance_THFTYPE_IiioI @ A @ lYear_THFTYPE_i )
        & ( ( minus_THFTYPE_IiiiI @ A @ B )
          = n1_THFTYPE_i ) )
     => ( meetsTemporally_THFTYPE_IiioI @ B @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_034) ).

thf(304,plain,
    ! [A: $i,B: $i] :
      ( ( ( instance_THFTYPE_IiioI @ B @ lYear_THFTYPE_i )
        & ( instance_THFTYPE_IiioI @ A @ lYear_THFTYPE_i )
        & ( ( minus_THFTYPE_IiiiI @ A @ B )
          = n1_THFTYPE_i ) )
     => ( meetsTemporally_THFTYPE_IiioI @ B @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[110]) ).

thf(305,plain,
    ! [B: $i,A: $i] :
      ( ~ ( instance_THFTYPE_IiioI @ B @ lYear_THFTYPE_i )
      | ~ ( instance_THFTYPE_IiioI @ A @ lYear_THFTYPE_i )
      | ( ( minus_THFTYPE_IiiiI @ A @ B )
       != n1_THFTYPE_i )
      | ( meetsTemporally_THFTYPE_IiioI @ B @ A ) ),
    inference(cnf,[status(esa)],[304]) ).

thf(306,plain,
    ! [B: $i,A: $i] :
      ( ( ( minus_THFTYPE_IiiiI @ A @ B )
       != n1_THFTYPE_i )
      | ~ ( instance_THFTYPE_IiioI @ B @ lYear_THFTYPE_i )
      | ~ ( instance_THFTYPE_IiioI @ A @ lYear_THFTYPE_i )
      | ( meetsTemporally_THFTYPE_IiioI @ B @ A ) ),
    inference(lifteq,[status(thm)],[305]) ).

thf(3,axiom,
    ! [A: $i,B: $i] :
      ( ( meetsTemporally_THFTYPE_IiioI @ A @ B )
      = ( ( lEndFn_THFTYPE_IiiI @ A )
        = ( lBeginFn_THFTYPE_IiiI @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_079) ).

thf(149,plain,
    ! [A: $i,B: $i] :
      ( ( meetsTemporally_THFTYPE_IiioI @ A @ B )
      = ( ( lEndFn_THFTYPE_IiiI @ A )
        = ( lBeginFn_THFTYPE_IiiI @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(150,plain,
    ! [B: $i,A: $i] :
      ( ( meetsTemporally_THFTYPE_IiioI @ A @ B )
      = ( ( lEndFn_THFTYPE_IiiI @ A )
        = ( lBeginFn_THFTYPE_IiiI @ B ) ) ),
    inference(cnf,[status(esa)],[149]) ).

thf(151,plain,
    ! [B: $i,A: $i] :
      ( ( meetsTemporally_THFTYPE_IiioI @ A @ B )
      = ( ( lEndFn_THFTYPE_IiiI @ A )
        = ( lBeginFn_THFTYPE_IiiI @ B ) ) ),
    inference(lifteq,[status(thm)],[150]) ).

thf(367,plain,
    ! [B: $i,A: $i] :
      ( ( ( minus_THFTYPE_IiiiI @ A @ B )
       != n1_THFTYPE_i )
      | ~ ( instance_THFTYPE_IiioI @ B @ lYear_THFTYPE_i )
      | ~ ( instance_THFTYPE_IiioI @ A @ lYear_THFTYPE_i )
      | ( ( lEndFn_THFTYPE_IiiI @ B )
        = ( lBeginFn_THFTYPE_IiiI @ A ) ) ),
    inference(rewrite,[status(thm)],[306,151]) ).

thf(368,plain,
    ! [B: $i,A: $i] :
      ( ( ( lEndFn_THFTYPE_IiiI @ B )
        = ( lBeginFn_THFTYPE_IiiI @ A ) )
      | ( ( minus_THFTYPE_IiiiI @ A @ B )
       != n1_THFTYPE_i )
      | ~ ( instance_THFTYPE_IiioI @ B @ lYear_THFTYPE_i )
      | ~ ( instance_THFTYPE_IiioI @ A @ lYear_THFTYPE_i ) ),
    inference(lifteq,[status(thm)],[367]) ).

thf(379,plain,
    ! [B: $i,A: $i] :
      ( ( ( lEndFn_THFTYPE_IiiI @ B )
        = ( lBeginFn_THFTYPE_IiiI @ A ) )
      | ( ( minus_THFTYPE_IiiiI @ A @ B )
       != n1_THFTYPE_i )
      | ~ ( instance_THFTYPE_IiioI @ B @ lYear_THFTYPE_i )
      | ~ $true
      | ( ( instance_THFTYPE_IiioI @ lMonthFn_THFTYPE_i @ lTemporalRelation_THFTYPE_i )
       != ( instance_THFTYPE_IiioI @ A @ lYear_THFTYPE_i ) ) ),
    inference(paramod_ordered,[status(thm)],[219,368]) ).

thf(380,plain,
    ! [B: $i,A: $i] :
      ( ( ( lEndFn_THFTYPE_IiiI @ B )
        = ( lBeginFn_THFTYPE_IiiI @ A ) )
      | ( ( minus_THFTYPE_IiiiI @ A @ B )
       != n1_THFTYPE_i )
      | ~ ( instance_THFTYPE_IiioI @ B @ lYear_THFTYPE_i )
      | ( ( instance_THFTYPE_IiioI @ lMonthFn_THFTYPE_i @ lTemporalRelation_THFTYPE_i )
       != ( instance_THFTYPE_IiioI @ A @ lYear_THFTYPE_i ) ) ),
    inference(simp,[status(thm)],[379]) ).

thf(382,plain,
    ! [B: $i,A: $i] :
      ( ( ( lEndFn_THFTYPE_IiiI @ B )
        = ( lBeginFn_THFTYPE_IiiI @ A ) )
      | ( ( minus_THFTYPE_IiiiI @ A @ B )
       != n1_THFTYPE_i )
      | ~ ( instance_THFTYPE_IiioI @ B @ lYear_THFTYPE_i )
      | ( lMonthFn_THFTYPE_i != A )
      | ( lYear_THFTYPE_i != lTemporalRelation_THFTYPE_i ) ),
    inference(simp,[status(thm)],[380]) ).

thf(384,plain,
    ! [A: $i] :
      ( ( ( lEndFn_THFTYPE_IiiI @ A )
        = ( lBeginFn_THFTYPE_IiiI @ lMonthFn_THFTYPE_i ) )
      | ( ( minus_THFTYPE_IiiiI @ lMonthFn_THFTYPE_i @ A )
       != n1_THFTYPE_i )
      | ~ ( instance_THFTYPE_IiioI @ A @ lYear_THFTYPE_i )
      | ( lYear_THFTYPE_i != lTemporalRelation_THFTYPE_i ) ),
    inference(simp,[status(thm)],[382]) ).

thf(20,axiom,
    ! [A: $i] :
      ( ( instance_THFTYPE_IiioI @ A @ lMan_THFTYPE_i )
     => ( attribute_THFTYPE_IiioI @ A @ lMale_THFTYPE_i ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_048) ).

thf(176,plain,
    ! [A: $i] :
      ( ( instance_THFTYPE_IiioI @ A @ lMan_THFTYPE_i )
     => ( attribute_THFTYPE_IiioI @ A @ lMale_THFTYPE_i ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(177,plain,
    ! [A: $i] :
      ( ~ ( instance_THFTYPE_IiioI @ A @ lMan_THFTYPE_i )
      | ( attribute_THFTYPE_IiioI @ A @ lMale_THFTYPE_i ) ),
    inference(cnf,[status(esa)],[176]) ).

thf(6718,plain,
    ! [A: $i] :
      ( ~ $true
      | ( attribute_THFTYPE_IiioI @ A @ lMale_THFTYPE_i )
      | ( ( instance_THFTYPE_IiioI @ spouse_THFTYPE_i @ lIrreflexiveRelation_THFTYPE_i )
       != ( instance_THFTYPE_IiioI @ A @ lMan_THFTYPE_i ) ) ),
    inference(paramod_ordered,[status(thm)],[327,177]) ).

thf(6719,plain,
    ! [A: $i] :
      ( ( attribute_THFTYPE_IiioI @ A @ lMale_THFTYPE_i )
      | ( ( instance_THFTYPE_IiioI @ spouse_THFTYPE_i @ lIrreflexiveRelation_THFTYPE_i )
       != ( instance_THFTYPE_IiioI @ A @ lMan_THFTYPE_i ) ) ),
    inference(simp,[status(thm)],[6718]) ).

thf(6767,plain,
    ! [A: $i] :
      ( ( attribute_THFTYPE_IiioI @ A @ lMale_THFTYPE_i )
      | ( spouse_THFTYPE_i != A )
      | ( lMan_THFTYPE_i != lIrreflexiveRelation_THFTYPE_i ) ),
    inference(simp,[status(thm)],[6719]) ).

thf(6793,plain,
    ( ( attribute_THFTYPE_IiioI @ spouse_THFTYPE_i @ lMale_THFTYPE_i )
    | ( lMan_THFTYPE_i != lIrreflexiveRelation_THFTYPE_i ) ),
    inference(simp,[status(thm)],[6767]) ).

thf(115,axiom,
    ! [A: $i > $i > $o] :
      ( ( instance_THFTYPE_IIiioIioI @ A @ lIrreflexiveRelation_THFTYPE_i )
      = ( ! [B: $i] :
            ~ ( A @ B @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_026) ).

thf(311,plain,
    ! [A: $i > $i > $o] :
      ( ( instance_THFTYPE_IIiioIioI @ A @ lIrreflexiveRelation_THFTYPE_i )
      = ( ! [B: $i] :
            ~ ( A @ B @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[115]) ).

thf(312,plain,
    ! [A: $i > $i > $o] :
      ( ( instance_THFTYPE_IIiioIioI @ A @ lIrreflexiveRelation_THFTYPE_i )
      = ( ! [B: $i] :
            ~ ( A @ B @ B ) ) ),
    inference(cnf,[status(esa)],[311]) ).

thf(313,plain,
    ! [A: $i > $i > $o] :
      ( ( instance_THFTYPE_IIiioIioI @ A @ lIrreflexiveRelation_THFTYPE_i )
      = ( ! [B: $i] :
            ~ ( A @ B @ B ) ) ),
    inference(lifteq,[status(thm)],[312]) ).

thf(75,axiom,
    instance_THFTYPE_IIiioIioI @ attribute_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_148) ).

thf(267,plain,
    instance_THFTYPE_IIiioIioI @ attribute_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).

thf(12189,plain,
    ! [A: $i > $i > $o] :
      ( ! [B: $i] :
          ~ ( A @ B @ B )
      | ( ( instance_THFTYPE_IIiioIioI @ A @ lIrreflexiveRelation_THFTYPE_i )
       != ( instance_THFTYPE_IIiioIioI @ attribute_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i ) ) ),
    inference(paramod_ordered,[status(thm)],[313,267]) ).

thf(12190,plain,
    ! [A: $i] :
      ~ ( attribute_THFTYPE_IiioI @ A @ A ),
    inference(pattern_uni,[status(thm)],[12189:[bind(A,$thf( attribute_THFTYPE_IiioI ))]]) ).

thf(12399,plain,
    ! [A: $i] :
      ~ ( attribute_THFTYPE_IiioI @ A @ A ),
    inference(cnf,[status(esa)],[12190]) ).

thf(13964,plain,
    ! [A: $i] :
      ( ( lMan_THFTYPE_i != lIrreflexiveRelation_THFTYPE_i )
      | ~ $true
      | ( ( attribute_THFTYPE_IiioI @ spouse_THFTYPE_i @ lMale_THFTYPE_i )
       != ( attribute_THFTYPE_IiioI @ A @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[6793,12399]) ).

thf(13965,plain,
    ! [A: $i] :
      ( ( lMan_THFTYPE_i != lIrreflexiveRelation_THFTYPE_i )
      | ( ( attribute_THFTYPE_IiioI @ spouse_THFTYPE_i @ lMale_THFTYPE_i )
       != ( attribute_THFTYPE_IiioI @ A @ A ) ) ),
    inference(simp,[status(thm)],[13964]) ).

thf(13969,plain,
    ! [A: $i] :
      ( ( lMan_THFTYPE_i != lIrreflexiveRelation_THFTYPE_i )
      | ( spouse_THFTYPE_i != A )
      | ( lMale_THFTYPE_i != A ) ),
    inference(simp,[status(thm)],[13965]) ).

thf(13982,plain,
    ( ( lMan_THFTYPE_i != lIrreflexiveRelation_THFTYPE_i )
    | ( spouse_THFTYPE_i != lMale_THFTYPE_i ) ),
    inference(simp,[status(thm)],[13969]) ).

thf(134,axiom,
    instance_THFTYPE_IIiiIioI @ lYearFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_176) ).

thf(340,plain,
    instance_THFTYPE_IIiiIioI @ lYearFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[134]) ).

thf(5,axiom,
    domain_THFTYPE_IIiioIiioI @ relatedInternalConcept_THFTYPE_IiioI @ n1_THFTYPE_i @ lEntity_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_269) ).

thf(153,plain,
    domain_THFTYPE_IIiioIiioI @ relatedInternalConcept_THFTYPE_IiioI @ n1_THFTYPE_i @ lEntity_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(65,axiom,
    domain_THFTYPE_IIiioIiioI @ meetsTemporally_THFTYPE_IiioI @ n2_THFTYPE_i @ lTimeInterval_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_184) ).

thf(257,plain,
    domain_THFTYPE_IIiioIiioI @ meetsTemporally_THFTYPE_IiioI @ n2_THFTYPE_i @ lTimeInterval_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).

thf(9233,plain,
    ( domain_THFTYPE_IIiioIiioI
    @ ^ [A: $i,B: $i] :
        ( ( lEndFn_THFTYPE_IiiI @ A )
        = ( lBeginFn_THFTYPE_IiiI @ B ) )
    @ n2_THFTYPE_i
    @ lTimeInterval_THFTYPE_i ),
    inference(rewrite,[status(thm)],[257,151]) ).

thf(116,axiom,
    instance_THFTYPE_IIiioIioI @ wife_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_147) ).

thf(314,plain,
    instance_THFTYPE_IIiioIioI @ wife_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[116]) ).

thf(12205,plain,
    ! [A: $i > $i > $o] :
      ( ! [B: $i] :
          ~ ( A @ B @ B )
      | ( ( instance_THFTYPE_IIiioIioI @ A @ lIrreflexiveRelation_THFTYPE_i )
       != ( instance_THFTYPE_IIiioIioI @ wife_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i ) ) ),
    inference(paramod_ordered,[status(thm)],[313,314]) ).

thf(12206,plain,
    ! [A: $i] :
      ~ ( wife_THFTYPE_IiioI @ A @ A ),
    inference(pattern_uni,[status(thm)],[12205:[bind(A,$thf( wife_THFTYPE_IiioI ))]]) ).

thf(12403,plain,
    ! [A: $i] :
      ~ ( wife_THFTYPE_IiioI @ A @ A ),
    inference(cnf,[status(esa)],[12206]) ).

thf(199,plain,
    ! [A: $i] :
      ( ~ ( instance_THFTYPE_IiioI @ A @ lTimeInterval_THFTYPE_i )
      | ( instance_THFTYPE_IiioI @ ( sk2 @ A ) @ lTimePoint_THFTYPE_i ) ),
    inference(cnfConj,[status(thm)],[198]) ).

thf(11569,plain,
    ! [A: $i] :
      ( ~ $true
      | ( instance_THFTYPE_IiioI @ ( sk2 @ A ) @ lTimePoint_THFTYPE_i )
      | ( ( instance_THFTYPE_IiioI @ spouse_THFTYPE_i @ lIrreflexiveRelation_THFTYPE_i )
       != ( instance_THFTYPE_IiioI @ A @ lTimeInterval_THFTYPE_i ) ) ),
    inference(paramod_ordered,[status(thm)],[327,199]) ).

thf(11570,plain,
    ! [A: $i] :
      ( ( instance_THFTYPE_IiioI @ ( sk2 @ A ) @ lTimePoint_THFTYPE_i )
      | ( ( instance_THFTYPE_IiioI @ spouse_THFTYPE_i @ lIrreflexiveRelation_THFTYPE_i )
       != ( instance_THFTYPE_IiioI @ A @ lTimeInterval_THFTYPE_i ) ) ),
    inference(simp,[status(thm)],[11569]) ).

thf(11588,plain,
    ! [A: $i] :
      ( ( instance_THFTYPE_IiioI @ ( sk2 @ A ) @ lTimePoint_THFTYPE_i )
      | ( spouse_THFTYPE_i != A )
      | ( lTimeInterval_THFTYPE_i != lIrreflexiveRelation_THFTYPE_i ) ),
    inference(simp,[status(thm)],[11570]) ).

thf(11616,plain,
    ( ( instance_THFTYPE_IiioI @ ( sk2 @ spouse_THFTYPE_i ) @ lTimePoint_THFTYPE_i )
    | ( lTimeInterval_THFTYPE_i != lIrreflexiveRelation_THFTYPE_i ) ),
    inference(simp,[status(thm)],[11588]) ).

thf(38,axiom,
    ! [A: $i] :
      ( ( instance_THFTYPE_IiioI @ A @ lTimePoint_THFTYPE_i )
     => ? [B: $i] :
          ( ( instance_THFTYPE_IiioI @ B @ lTimeInterval_THFTYPE_i )
          & ( temporalPart_THFTYPE_IiioI @ A @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_070) ).

thf(209,plain,
    ! [A: $i] :
      ( ( instance_THFTYPE_IiioI @ A @ lTimePoint_THFTYPE_i )
     => ? [B: $i] :
          ( ( instance_THFTYPE_IiioI @ B @ lTimeInterval_THFTYPE_i )
          & ( temporalPart_THFTYPE_IiioI @ A @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).

thf(210,plain,
    ! [A: $i] :
      ( ( ~ ( instance_THFTYPE_IiioI @ A @ lTimePoint_THFTYPE_i )
        | ( instance_THFTYPE_IiioI @ ( sk3 @ A ) @ lTimeInterval_THFTYPE_i ) )
      & ( ~ ( instance_THFTYPE_IiioI @ A @ lTimePoint_THFTYPE_i )
        | ( temporalPart_THFTYPE_IiioI @ A @ ( sk3 @ A ) ) ) ),
    inference(cnf,[status(esa)],[209]) ).

thf(211,plain,
    ! [A: $i] :
      ( ~ ( instance_THFTYPE_IiioI @ A @ lTimePoint_THFTYPE_i )
      | ( instance_THFTYPE_IiioI @ ( sk3 @ A ) @ lTimeInterval_THFTYPE_i ) ),
    inference(cnfConj,[status(thm)],[210]) ).

thf(14012,plain,
    ! [A: $i] :
      ( ( lTimeInterval_THFTYPE_i != lIrreflexiveRelation_THFTYPE_i )
      | ~ $true
      | ( instance_THFTYPE_IiioI @ ( sk3 @ A ) @ lTimeInterval_THFTYPE_i )
      | ( ( instance_THFTYPE_IiioI @ ( sk2 @ spouse_THFTYPE_i ) @ lTimePoint_THFTYPE_i )
       != ( instance_THFTYPE_IiioI @ A @ lTimePoint_THFTYPE_i ) ) ),
    inference(paramod_ordered,[status(thm)],[11616,211]) ).

thf(14013,plain,
    ! [A: $i] :
      ( ( lTimeInterval_THFTYPE_i != lIrreflexiveRelation_THFTYPE_i )
      | ( instance_THFTYPE_IiioI @ ( sk3 @ A ) @ lTimeInterval_THFTYPE_i )
      | ( ( instance_THFTYPE_IiioI @ ( sk2 @ spouse_THFTYPE_i ) @ lTimePoint_THFTYPE_i )
       != ( instance_THFTYPE_IiioI @ A @ lTimePoint_THFTYPE_i ) ) ),
    inference(simp,[status(thm)],[14012]) ).

thf(14014,plain,
    ( ( lTimeInterval_THFTYPE_i != lIrreflexiveRelation_THFTYPE_i )
    | ( instance_THFTYPE_IiioI @ ( sk3 @ ( sk2 @ spouse_THFTYPE_i ) ) @ lTimeInterval_THFTYPE_i ) ),
    inference(pattern_uni,[status(thm)],[14013:[bind(A,$thf( sk2 @ spouse_THFTYPE_i ))]]) ).

thf(18,axiom,
    rangeSubclass_THFTYPE_IiioI @ lTemporalCompositionFn_THFTYPE_i @ lTimeInterval_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_018) ).

thf(174,plain,
    rangeSubclass_THFTYPE_IiioI @ lTemporalCompositionFn_THFTYPE_i @ lTimeInterval_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(25,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( subrelation_THFTYPE_IiioI @ C @ A )
        & ( rangeSubclass_THFTYPE_IiioI @ A @ B ) )
     => ( rangeSubclass_THFTYPE_IiioI @ C @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_085) ).

thf(184,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( subrelation_THFTYPE_IiioI @ C @ A )
        & ( rangeSubclass_THFTYPE_IiioI @ A @ B ) )
     => ( rangeSubclass_THFTYPE_IiioI @ C @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(185,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( subrelation_THFTYPE_IiioI @ C @ A )
      | ~ ( rangeSubclass_THFTYPE_IiioI @ A @ B )
      | ( rangeSubclass_THFTYPE_IiioI @ C @ B ) ),
    inference(cnf,[status(esa)],[184]) ).

thf(94,axiom,
    instance_THFTYPE_IIiiIioI @ lBeginFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_260) ).

thf(288,plain,
    instance_THFTYPE_IIiiIioI @ lBeginFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).

thf(107,axiom,
    instance_THFTYPE_IIiioIioI @ lessThan_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_113) ).

thf(301,plain,
    instance_THFTYPE_IIiioIioI @ lessThan_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).

thf(122,axiom,
    instance_THFTYPE_IIiioIioI @ attribute_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_125) ).

thf(320,plain,
    instance_THFTYPE_IIiioIioI @ attribute_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[122]) ).

thf(54,axiom,
    ! [A: $i] :
      ( ( instance_THFTYPE_IiioI @ A @ lTimeInterval_THFTYPE_i )
     => ( before_THFTYPE_IiioI @ ( lBeginFn_THFTYPE_IiiI @ A ) @ ( lEndFn_THFTYPE_IiiI @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_061) ).

thf(236,plain,
    ! [A: $i] :
      ( ( instance_THFTYPE_IiioI @ A @ lTimeInterval_THFTYPE_i )
     => ( before_THFTYPE_IiioI @ ( lBeginFn_THFTYPE_IiiI @ A ) @ ( lEndFn_THFTYPE_IiiI @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).

thf(237,plain,
    ! [A: $i] :
      ( ~ ( instance_THFTYPE_IiioI @ A @ lTimeInterval_THFTYPE_i )
      | ( before_THFTYPE_IiioI @ ( lBeginFn_THFTYPE_IiiI @ A ) @ ( lEndFn_THFTYPE_IiiI @ A ) ) ),
    inference(cnf,[status(esa)],[236]) ).

thf(14232,plain,
    ! [A: $i] :
      ( ~ $true
      | ( before_THFTYPE_IiioI @ ( lBeginFn_THFTYPE_IiiI @ A ) @ ( lEndFn_THFTYPE_IiiI @ A ) )
      | ( ( instance_THFTYPE_IiioI @ lMonthFn_THFTYPE_i @ lTemporalRelation_THFTYPE_i )
       != ( instance_THFTYPE_IiioI @ A @ lTimeInterval_THFTYPE_i ) ) ),
    inference(paramod_ordered,[status(thm)],[219,237]) ).

thf(14233,plain,
    ! [A: $i] :
      ( ( before_THFTYPE_IiioI @ ( lBeginFn_THFTYPE_IiiI @ A ) @ ( lEndFn_THFTYPE_IiiI @ A ) )
      | ( ( instance_THFTYPE_IiioI @ lMonthFn_THFTYPE_i @ lTemporalRelation_THFTYPE_i )
       != ( instance_THFTYPE_IiioI @ A @ lTimeInterval_THFTYPE_i ) ) ),
    inference(simp,[status(thm)],[14232]) ).

thf(14250,plain,
    ! [A: $i] :
      ( ( before_THFTYPE_IiioI @ ( lBeginFn_THFTYPE_IiiI @ A ) @ ( lEndFn_THFTYPE_IiiI @ A ) )
      | ( lMonthFn_THFTYPE_i != A )
      | ( lTimeInterval_THFTYPE_i != lTemporalRelation_THFTYPE_i ) ),
    inference(simp,[status(thm)],[14233]) ).

thf(14260,plain,
    ( ( before_THFTYPE_IiioI @ ( lBeginFn_THFTYPE_IiiI @ lMonthFn_THFTYPE_i ) @ ( lEndFn_THFTYPE_IiiI @ lMonthFn_THFTYPE_i ) )
    | ( lTimeInterval_THFTYPE_i != lTemporalRelation_THFTYPE_i ) ),
    inference(simp,[status(thm)],[14250]) ).

thf(138,axiom,
    ! [A: $i,B: $o] :
      ( ( holdsDuring_THFTYPE_IiooI @ A @ ~ B )
     => ~ ( holdsDuring_THFTYPE_IiooI @ A @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_075) ).

thf(344,plain,
    ! [A: $i,B: $o] :
      ( ( holdsDuring_THFTYPE_IiooI @ A @ ~ B )
     => ~ ( holdsDuring_THFTYPE_IiooI @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[138]) ).

thf(33,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
      ( ( ( domain_THFTYPE_IiiioI @ E @ B @ C )
        & ( domain_THFTYPE_IiiioI @ A @ B @ D )
        & ( disjoint_THFTYPE_IiioI @ C @ D ) )
     => ( disjointRelation_THFTYPE_IiioI @ E @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_100) ).

thf(195,plain,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
      ( ( ( domain_THFTYPE_IiiioI @ E @ B @ C )
        & ( domain_THFTYPE_IiiioI @ A @ B @ D )
        & ( disjoint_THFTYPE_IiioI @ C @ D ) )
     => ( disjointRelation_THFTYPE_IiioI @ E @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).

thf(196,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( domain_THFTYPE_IiiioI @ E @ B @ C )
      | ~ ( domain_THFTYPE_IiiioI @ A @ B @ D )
      | ~ ( disjoint_THFTYPE_IiioI @ C @ D )
      | ( disjointRelation_THFTYPE_IiioI @ E @ A ) ),
    inference(cnf,[status(esa)],[195]) ).

thf(29,axiom,
    inverse_THFTYPE_IIiioIIiioIoI @ greaterThan_THFTYPE_IiioI @ lessThan_THFTYPE_IiioI,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_096) ).

thf(189,plain,
    inverse_THFTYPE_IIiioIIiioIoI @ greaterThan_THFTYPE_IiioI @ lessThan_THFTYPE_IiioI,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(90,axiom,
    instance_THFTYPE_IIiioIioI @ before_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_285) ).

thf(284,plain,
    instance_THFTYPE_IIiioIioI @ before_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).

thf(4,axiom,
    subclass_THFTYPE_IiioI @ lMonth_THFTYPE_i @ lTimeInterval_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_021) ).

thf(152,plain,
    subclass_THFTYPE_IiioI @ lMonth_THFTYPE_i @ lTimeInterval_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(49,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ( domain_THFTYPE_IiiioI @ C @ A @ B )
        & ( domain_THFTYPE_IiiioI @ C @ A @ D ) )
     => ( ( subclass_THFTYPE_IiioI @ B @ D )
        | ( subclass_THFTYPE_IiioI @ D @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_015) ).

thf(228,plain,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ( domain_THFTYPE_IiiioI @ C @ A @ B )
        & ( domain_THFTYPE_IiiioI @ C @ A @ D ) )
     => ( ( subclass_THFTYPE_IiioI @ B @ D )
        | ( subclass_THFTYPE_IiioI @ D @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).

thf(95,axiom,
    domain_THFTYPE_IIiioIiioI @ wife_THFTYPE_IiioI @ n1_THFTYPE_i @ lWoman_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_220) ).

thf(289,plain,
    domain_THFTYPE_IIiioIiioI @ wife_THFTYPE_IiioI @ n1_THFTYPE_i @ lWoman_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).

thf(118,axiom,
    instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_168) ).

thf(316,plain,
    instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[118]) ).

thf(69,axiom,
    instance_THFTYPE_IIiioIioI @ greaterThan_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_259) ).

thf(261,plain,
    instance_THFTYPE_IIiioIioI @ greaterThan_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).

thf(41,axiom,
    instance_THFTYPE_IIiioIioI @ lessThanOrEqualTo_THFTYPE_IiioI @ lPartialOrderingRelation_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_286) ).

thf(216,plain,
    instance_THFTYPE_IIiioIioI @ lessThanOrEqualTo_THFTYPE_IiioI @ lPartialOrderingRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).

thf(12,axiom,
    ! [A: $i] : ( instance_THFTYPE_IiioI @ A @ lEntity_THFTYPE_i ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_060) ).

thf(164,plain,
    ! [A: $i] : ( instance_THFTYPE_IiioI @ A @ lEntity_THFTYPE_i ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(12012,plain,
    ! [A: $i] :
      ( ~ $true
      | ( temporalPart_THFTYPE_IiioI @ ( sk2 @ A ) @ A )
      | ( ( instance_THFTYPE_IiioI @ lMonthFn_THFTYPE_i @ lTemporalRelation_THFTYPE_i )
       != ( instance_THFTYPE_IiioI @ A @ lTimeInterval_THFTYPE_i ) ) ),
    inference(paramod_ordered,[status(thm)],[219,200]) ).

thf(12013,plain,
    ! [A: $i] :
      ( ( temporalPart_THFTYPE_IiioI @ ( sk2 @ A ) @ A )
      | ( ( instance_THFTYPE_IiioI @ lMonthFn_THFTYPE_i @ lTemporalRelation_THFTYPE_i )
       != ( instance_THFTYPE_IiioI @ A @ lTimeInterval_THFTYPE_i ) ) ),
    inference(simp,[status(thm)],[12012]) ).

thf(12024,plain,
    ! [A: $i] :
      ( ( temporalPart_THFTYPE_IiioI @ ( sk2 @ A ) @ A )
      | ( lMonthFn_THFTYPE_i != A )
      | ( lTimeInterval_THFTYPE_i != lTemporalRelation_THFTYPE_i ) ),
    inference(simp,[status(thm)],[12013]) ).

thf(12051,plain,
    ( ( temporalPart_THFTYPE_IiioI @ ( sk2 @ lMonthFn_THFTYPE_i ) @ lMonthFn_THFTYPE_i )
    | ( lTimeInterval_THFTYPE_i != lTemporalRelation_THFTYPE_i ) ),
    inference(simp,[status(thm)],[12024]) ).

thf(133,axiom,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_093) ).

thf(339,plain,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[133]) ).

thf(1,conjecture,
    ? [A: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ A @ lCorina_THFTYPE_i ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

thf(2,negated_conjecture,
    ~ ? [A: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ A @ lCorina_THFTYPE_i ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(147,plain,
    ~ ? [A: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ A @ lCorina_THFTYPE_i ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(148,plain,
    ! [A: $i] :
      ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ A @ lCorina_THFTYPE_i ) ),
    inference(cnf,[status(esa)],[147]) ).

thf(11321,plain,
    ! [A: $i] :
      ( ~ $true
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ) )
       != ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ A @ lCorina_THFTYPE_i ) ) ) ),
    inference(paramod_ordered,[status(thm)],[339,148]) ).

thf(11322,plain,
    ! [A: $i] :
      ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ) )
     != ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ A @ lCorina_THFTYPE_i ) ) ),
    inference(simp,[status(thm)],[11321]) ).

thf(11450,plain,
    ! [A: $i] :
      ( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
       != ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
      | ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
       != ( husband_THFTYPE_IiioI @ A @ lCorina_THFTYPE_i ) ) ),
    inference(simp,[status(thm)],[11322]) ).

thf(11477,plain,
    ! [A: $i] :
      ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
     != ( husband_THFTYPE_IiioI @ A @ lCorina_THFTYPE_i ) ),
    inference(simp,[status(thm)],[11450]) ).

thf(143,axiom,
    ! [A: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_047) ).

thf(350,plain,
    ! [A: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[143]) ).

thf(351,plain,
    ! [A: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ),
    inference(cnf,[status(esa)],[350]) ).

thf(11709,plain,
    ! [B: $i,A: $i] :
      ( ~ $true
      | ( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
       != ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ B @ lCorina_THFTYPE_i ) ) ) ),
    inference(paramod_ordered,[status(thm)],[351,148]) ).

thf(11710,plain,
    ! [B: $i,A: $i] :
      ( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
     != ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ B @ lCorina_THFTYPE_i ) ) ),
    inference(simp,[status(thm)],[11709]) ).

thf(11795,plain,
    ! [B: $i,A: $i] :
      ( ( A
       != ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
      | ~ ( husband_THFTYPE_IiioI @ B @ lCorina_THFTYPE_i ) ),
    inference(simp,[status(thm)],[11710]) ).

thf(11841,plain,
    ! [A: $i] :
      ~ ( husband_THFTYPE_IiioI @ A @ lCorina_THFTYPE_i ),
    inference(simp,[status(thm)],[11795]) ).

thf(11926,plain,
    wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i,
    inference(rewrite,[status(thm)],[11477,11841]) ).

thf(123,axiom,
    partition_THFTYPE_IiiioI @ lHuman_THFTYPE_i @ lMan_THFTYPE_i @ lWoman_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_035) ).

thf(321,plain,
    partition_THFTYPE_IiiioI @ lHuman_THFTYPE_i @ lMan_THFTYPE_i @ lWoman_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[123]) ).

thf(8,axiom,
    ? [A: $i] : ( instance_THFTYPE_IiioI @ A @ lEntity_THFTYPE_i ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_081) ).

thf(159,plain,
    ? [A: $i] : ( instance_THFTYPE_IiioI @ A @ lEntity_THFTYPE_i ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(160,plain,
    instance_THFTYPE_IiioI @ sk1 @ lEntity_THFTYPE_i,
    inference(cnf,[status(esa)],[159]) ).

thf(371,plain,
    ! [B: $i,A: $i] :
      ( ( ( lEndFn_THFTYPE_IiiI @ B )
        = ( lBeginFn_THFTYPE_IiiI @ A ) )
      | ( ( minus_THFTYPE_IiiiI @ A @ B )
       != n1_THFTYPE_i )
      | ~ ( instance_THFTYPE_IiioI @ B @ lYear_THFTYPE_i )
      | ~ $true
      | ( ( instance_THFTYPE_IiioI @ sk1 @ lEntity_THFTYPE_i )
       != ( instance_THFTYPE_IiioI @ A @ lYear_THFTYPE_i ) ) ),
    inference(paramod_ordered,[status(thm)],[160,368]) ).

thf(372,plain,
    ! [B: $i,A: $i] :
      ( ( ( lEndFn_THFTYPE_IiiI @ B )
        = ( lBeginFn_THFTYPE_IiiI @ A ) )
      | ( ( minus_THFTYPE_IiiiI @ A @ B )
       != n1_THFTYPE_i )
      | ~ ( instance_THFTYPE_IiioI @ B @ lYear_THFTYPE_i )
      | ( ( instance_THFTYPE_IiioI @ sk1 @ lEntity_THFTYPE_i )
       != ( instance_THFTYPE_IiioI @ A @ lYear_THFTYPE_i ) ) ),
    inference(simp,[status(thm)],[371]) ).

thf(374,plain,
    ! [B: $i,A: $i] :
      ( ( ( lEndFn_THFTYPE_IiiI @ B )
        = ( lBeginFn_THFTYPE_IiiI @ A ) )
      | ( ( minus_THFTYPE_IiiiI @ A @ B )
       != n1_THFTYPE_i )
      | ~ ( instance_THFTYPE_IiioI @ B @ lYear_THFTYPE_i )
      | ( sk1 != A )
      | ( lYear_THFTYPE_i != lEntity_THFTYPE_i ) ),
    inference(simp,[status(thm)],[372]) ).

thf(376,plain,
    ! [A: $i] :
      ( ( ( lEndFn_THFTYPE_IiiI @ A )
        = ( lBeginFn_THFTYPE_IiiI @ sk1 ) )
      | ( ( minus_THFTYPE_IiiiI @ sk1 @ A )
       != n1_THFTYPE_i )
      | ~ ( instance_THFTYPE_IiioI @ A @ lYear_THFTYPE_i )
      | ( lYear_THFTYPE_i != lEntity_THFTYPE_i ) ),
    inference(simp,[status(thm)],[374]) ).

thf(55,axiom,
    ! [A: $i] :
      ( ( instance_THFTYPE_IiioI @ A @ lWoman_THFTYPE_i )
     => ( attribute_THFTYPE_IiioI @ A @ lFemale_THFTYPE_i ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_004) ).

thf(238,plain,
    ! [A: $i] :
      ( ( instance_THFTYPE_IiioI @ A @ lWoman_THFTYPE_i )
     => ( attribute_THFTYPE_IiioI @ A @ lFemale_THFTYPE_i ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).

thf(141,axiom,
    instance_THFTYPE_IIiioIioI @ husband_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_233) ).

thf(348,plain,
    instance_THFTYPE_IIiioIioI @ husband_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[141]) ).

thf(145,axiom,
    domain_THFTYPE_IIiiIiioI @ lYearFn_THFTYPE_IiiI @ n1_THFTYPE_i @ lInteger_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_154) ).

thf(353,plain,
    domain_THFTYPE_IIiiIiioI @ lYearFn_THFTYPE_IiiI @ n1_THFTYPE_i @ lInteger_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[145]) ).

thf(239,plain,
    ! [A: $i] :
      ( ~ ( instance_THFTYPE_IiioI @ A @ lWoman_THFTYPE_i )
      | ( attribute_THFTYPE_IiioI @ A @ lFemale_THFTYPE_i ) ),
    inference(cnf,[status(esa)],[238]) ).

thf(14632,plain,
    ! [A: $i] :
      ( ~ $true
      | ( attribute_THFTYPE_IiioI @ A @ lFemale_THFTYPE_i )
      | ( ( instance_THFTYPE_IiioI @ spouse_THFTYPE_i @ lIrreflexiveRelation_THFTYPE_i )
       != ( instance_THFTYPE_IiioI @ A @ lWoman_THFTYPE_i ) ) ),
    inference(paramod_ordered,[status(thm)],[327,239]) ).

thf(14633,plain,
    ! [A: $i] :
      ( ( attribute_THFTYPE_IiioI @ A @ lFemale_THFTYPE_i )
      | ( ( instance_THFTYPE_IiioI @ spouse_THFTYPE_i @ lIrreflexiveRelation_THFTYPE_i )
       != ( instance_THFTYPE_IiioI @ A @ lWoman_THFTYPE_i ) ) ),
    inference(simp,[status(thm)],[14632]) ).

thf(14645,plain,
    ! [A: $i] :
      ( ( attribute_THFTYPE_IiioI @ A @ lFemale_THFTYPE_i )
      | ( spouse_THFTYPE_i != A )
      | ( lWoman_THFTYPE_i != lIrreflexiveRelation_THFTYPE_i ) ),
    inference(simp,[status(thm)],[14633]) ).

thf(14657,plain,
    ( ( attribute_THFTYPE_IiioI @ spouse_THFTYPE_i @ lFemale_THFTYPE_i )
    | ( lWoman_THFTYPE_i != lIrreflexiveRelation_THFTYPE_i ) ),
    inference(simp,[status(thm)],[14645]) ).

thf(14683,plain,
    ! [A: $i] :
      ( ( lWoman_THFTYPE_i != lIrreflexiveRelation_THFTYPE_i )
      | ~ $true
      | ( ( attribute_THFTYPE_IiioI @ spouse_THFTYPE_i @ lFemale_THFTYPE_i )
       != ( attribute_THFTYPE_IiioI @ A @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[14657,12399]) ).

thf(14684,plain,
    ! [A: $i] :
      ( ( lWoman_THFTYPE_i != lIrreflexiveRelation_THFTYPE_i )
      | ( ( attribute_THFTYPE_IiioI @ spouse_THFTYPE_i @ lFemale_THFTYPE_i )
       != ( attribute_THFTYPE_IiioI @ A @ A ) ) ),
    inference(simp,[status(thm)],[14683]) ).

thf(14688,plain,
    ! [A: $i] :
      ( ( lWoman_THFTYPE_i != lIrreflexiveRelation_THFTYPE_i )
      | ( spouse_THFTYPE_i != A )
      | ( lFemale_THFTYPE_i != A ) ),
    inference(simp,[status(thm)],[14684]) ).

thf(14697,plain,
    ( ( lWoman_THFTYPE_i != lIrreflexiveRelation_THFTYPE_i )
    | ( spouse_THFTYPE_i != lFemale_THFTYPE_i ) ),
    inference(simp,[status(thm)],[14688]) ).

thf(21,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ( domainSubclass_THFTYPE_IiiioI @ C @ A @ B )
        & ( domainSubclass_THFTYPE_IiiioI @ C @ A @ D ) )
     => ( ( subclass_THFTYPE_IiioI @ B @ D )
        | ( subclass_THFTYPE_IiioI @ D @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_064) ).

thf(178,plain,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ( domainSubclass_THFTYPE_IiiioI @ C @ A @ B )
        & ( domainSubclass_THFTYPE_IiiioI @ C @ A @ D ) )
     => ( ( subclass_THFTYPE_IiioI @ B @ D )
        | ( subclass_THFTYPE_IiioI @ D @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(179,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( domainSubclass_THFTYPE_IiiioI @ C @ A @ B )
      | ~ ( domainSubclass_THFTYPE_IiiioI @ C @ A @ D )
      | ( subclass_THFTYPE_IiioI @ B @ D )
      | ( subclass_THFTYPE_IiioI @ D @ B ) ),
    inference(cnf,[status(esa)],[178]) ).

thf(62,axiom,
    ! [A: $i,B: $i] :
      ( ( ( lBeginFn_THFTYPE_IiiI @ B )
        = A )
     => ! [C: $i] :
          ( ( ( temporalPart_THFTYPE_IiioI @ C @ B )
            & ( C != A ) )
         => ( before_THFTYPE_IiioI @ A @ C ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_069) ).

thf(250,plain,
    ! [A: $i,B: $i] :
      ( ( ( lBeginFn_THFTYPE_IiiI @ B )
        = A )
     => ! [C: $i] :
          ( ( ( temporalPart_THFTYPE_IiioI @ C @ B )
            & ( C != A ) )
         => ( before_THFTYPE_IiioI @ A @ C ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).

thf(251,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( lBeginFn_THFTYPE_IiiI @ B )
       != A )
      | ~ ( temporalPart_THFTYPE_IiioI @ C @ B )
      | ( C = A )
      | ( before_THFTYPE_IiioI @ A @ C ) ),
    inference(cnf,[status(esa)],[250]) ).

thf(252,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( lBeginFn_THFTYPE_IiiI @ B )
       != A )
      | ( C = A )
      | ~ ( temporalPart_THFTYPE_IiioI @ C @ B )
      | ( before_THFTYPE_IiioI @ A @ C ) ),
    inference(lifteq,[status(thm)],[251]) ).

thf(253,plain,
    ! [B: $i,A: $i] :
      ( ( B
        = ( lBeginFn_THFTYPE_IiiI @ A ) )
      | ~ ( temporalPart_THFTYPE_IiioI @ B @ A )
      | ( before_THFTYPE_IiioI @ ( lBeginFn_THFTYPE_IiiI @ A ) @ B ) ),
    inference(simp,[status(thm)],[252]) ).

thf(45,axiom,
    domain_THFTYPE_IIiioIiioI @ subProcess_THFTYPE_IiioI @ n2_THFTYPE_i @ lProcess_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_208) ).

thf(221,plain,
    domain_THFTYPE_IIiioIiioI @ subProcess_THFTYPE_IiioI @ n2_THFTYPE_i @ lProcess_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).

thf(99,axiom,
    domain_THFTYPE_IiiioI @ spouse_THFTYPE_i @ n2_THFTYPE_i @ lHuman_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_287) ).

thf(293,plain,
    domain_THFTYPE_IiiioI @ spouse_THFTYPE_i @ n2_THFTYPE_i @ lHuman_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).

thf(58,axiom,
    ! [A: $i,B: $i] :
      ( ( subProcess_THFTYPE_IiioI @ A @ B )
     => ( temporalPart_THFTYPE_IiioI @ ( lWhenFn_THFTYPE_IiiI @ A ) @ ( lWhenFn_THFTYPE_IiiI @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_038) ).

thf(243,plain,
    ! [A: $i,B: $i] :
      ( ( subProcess_THFTYPE_IiioI @ A @ B )
     => ( temporalPart_THFTYPE_IiioI @ ( lWhenFn_THFTYPE_IiiI @ A ) @ ( lWhenFn_THFTYPE_IiiI @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).

thf(73,axiom,
    instance_THFTYPE_IIiiIioI @ lBeginFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_145) ).

thf(265,plain,
    instance_THFTYPE_IIiiIioI @ lBeginFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).

thf(37,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ( subrelation_THFTYPE_IiioI @ B @ D )
        & ( domain_THFTYPE_IiiioI @ D @ A @ C ) )
     => ( domain_THFTYPE_IiiioI @ B @ A @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_028) ).

thf(206,plain,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ( subrelation_THFTYPE_IiioI @ B @ D )
        & ( domain_THFTYPE_IiiioI @ D @ A @ C ) )
     => ( domain_THFTYPE_IiiioI @ B @ A @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).

thf(12115,plain,
    ! [A: $i > $i > $o] :
      ( ( instance_THFTYPE_IIiioIioI @ A @ lIrreflexiveRelation_THFTYPE_i )
      | ~ ! [B: $i] :
            ~ ( A @ B @ B ) ),
    inference(bool_ext,[status(thm)],[313]) ).

thf(12386,plain,
    ! [A: $i > $i > $o] :
      ( ( instance_THFTYPE_IIiioIioI @ A @ lIrreflexiveRelation_THFTYPE_i )
      | ( A @ ( sk41 @ A ) @ ( sk41 @ A ) ) ),
    inference(cnf,[status(esa)],[12115]) ).

thf(12653,plain,
    ( ( instance_THFTYPE_IIiioIioI @ subProcess_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i )
    | ( subProcess_THFTYPE_IiioI @ ( sk41 @ subProcess_THFTYPE_IiioI ) @ ( sk41 @ subProcess_THFTYPE_IiioI ) ) ),
    inference(prim_subst,[status(thm)],[12386:[bind(A,$thf( subProcess_THFTYPE_IiioI ))]]) ).

thf(165,plain,
    ! [A: $i] : ( instance_THFTYPE_IiioI @ A @ lEntity_THFTYPE_i ),
    inference(cnf,[status(esa)],[164]) ).

thf(618,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( lEndFn_THFTYPE_IiiI @ C )
        = ( lBeginFn_THFTYPE_IiiI @ B ) )
      | ( ( minus_THFTYPE_IiiiI @ B @ C )
       != n1_THFTYPE_i )
      | ~ ( instance_THFTYPE_IiioI @ C @ lYear_THFTYPE_i )
      | ~ $true
      | ( ( instance_THFTYPE_IiioI @ A @ lEntity_THFTYPE_i )
       != ( instance_THFTYPE_IiioI @ B @ lYear_THFTYPE_i ) ) ),
    inference(paramod_ordered,[status(thm)],[165,368]) ).

thf(619,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( lEndFn_THFTYPE_IiiI @ C )
        = ( lBeginFn_THFTYPE_IiiI @ B ) )
      | ( ( minus_THFTYPE_IiiiI @ B @ C )
       != n1_THFTYPE_i )
      | ~ ( instance_THFTYPE_IiioI @ C @ lYear_THFTYPE_i )
      | ( ( instance_THFTYPE_IiioI @ A @ lEntity_THFTYPE_i )
       != ( instance_THFTYPE_IiioI @ B @ lYear_THFTYPE_i ) ) ),
    inference(simp,[status(thm)],[618]) ).

thf(623,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( lEndFn_THFTYPE_IiiI @ C )
        = ( lBeginFn_THFTYPE_IiiI @ B ) )
      | ( ( minus_THFTYPE_IiiiI @ B @ C )
       != n1_THFTYPE_i )
      | ~ ( instance_THFTYPE_IiioI @ C @ lYear_THFTYPE_i )
      | ( A != B )
      | ( lYear_THFTYPE_i != lEntity_THFTYPE_i ) ),
    inference(simp,[status(thm)],[619]) ).

thf(634,plain,
    ! [B: $i,A: $i] :
      ( ( ( lEndFn_THFTYPE_IiiI @ B )
        = ( lBeginFn_THFTYPE_IiiI @ A ) )
      | ( ( minus_THFTYPE_IiiiI @ A @ B )
       != n1_THFTYPE_i )
      | ~ ( instance_THFTYPE_IiioI @ B @ lYear_THFTYPE_i )
      | ( lYear_THFTYPE_i != lEntity_THFTYPE_i ) ),
    inference(simp,[status(thm)],[623]) ).

thf(111,axiom,
    instance_THFTYPE_IIiioIioI @ subclass_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_169) ).

thf(307,plain,
    instance_THFTYPE_IIiioIioI @ subclass_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[111]) ).

thf(98,axiom,
    instance_THFTYPE_IIiioIioI @ inList_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_138) ).

thf(292,plain,
    instance_THFTYPE_IIiioIioI @ inList_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).

thf(78,axiom,
    instance_THFTYPE_IIiioIioI @ greaterThanOrEqualTo_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_109) ).

thf(270,plain,
    instance_THFTYPE_IIiioIioI @ greaterThanOrEqualTo_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).

thf(35,axiom,
    instance_THFTYPE_IIiioIioI @ subAttribute_THFTYPE_IiioI @ lPartialOrderingRelation_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_158) ).

thf(201,plain,
    instance_THFTYPE_IIiioIioI @ subAttribute_THFTYPE_IiioI @ lPartialOrderingRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).

thf(44,axiom,
    subclass_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i @ lBinaryRelation_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_008) ).

thf(220,plain,
    subclass_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i @ lBinaryRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).

thf(13057,plain,
    ! [A: $i] :
      ( ~ $true
      | ( instance_THFTYPE_IiioI @ ( sk3 @ A ) @ lTimeInterval_THFTYPE_i )
      | ( ( instance_THFTYPE_IiioI @ lMonthFn_THFTYPE_i @ lTemporalRelation_THFTYPE_i )
       != ( instance_THFTYPE_IiioI @ A @ lTimePoint_THFTYPE_i ) ) ),
    inference(paramod_ordered,[status(thm)],[219,211]) ).

thf(13058,plain,
    ! [A: $i] :
      ( ( instance_THFTYPE_IiioI @ ( sk3 @ A ) @ lTimeInterval_THFTYPE_i )
      | ( ( instance_THFTYPE_IiioI @ lMonthFn_THFTYPE_i @ lTemporalRelation_THFTYPE_i )
       != ( instance_THFTYPE_IiioI @ A @ lTimePoint_THFTYPE_i ) ) ),
    inference(simp,[status(thm)],[13057]) ).

thf(13100,plain,
    ! [A: $i] :
      ( ( instance_THFTYPE_IiioI @ ( sk3 @ A ) @ lTimeInterval_THFTYPE_i )
      | ( lMonthFn_THFTYPE_i != A )
      | ( lTimePoint_THFTYPE_i != lTemporalRelation_THFTYPE_i ) ),
    inference(simp,[status(thm)],[13058]) ).

thf(13126,plain,
    ( ( instance_THFTYPE_IiioI @ ( sk3 @ lMonthFn_THFTYPE_i ) @ lTimeInterval_THFTYPE_i )
    | ( lTimePoint_THFTYPE_i != lTemporalRelation_THFTYPE_i ) ),
    inference(simp,[status(thm)],[13100]) ).

thf(108,axiom,
    instance_THFTYPE_IIiioIioI @ duration_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_276) ).

thf(302,plain,
    instance_THFTYPE_IIiioIioI @ duration_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[108]) ).

thf(369,plain,
    ! [B: $i,A: $i] :
      ( ( ( lEndFn_THFTYPE_IiiI @ B )
        = ( lBeginFn_THFTYPE_IiiI @ A ) )
      | ( ( minus_THFTYPE_IiiiI @ A @ B )
       != n1_THFTYPE_i )
      | ~ $true
      | ~ ( instance_THFTYPE_IiioI @ A @ lYear_THFTYPE_i )
      | ( ( instance_THFTYPE_IiioI @ sk1 @ lEntity_THFTYPE_i )
       != ( instance_THFTYPE_IiioI @ B @ lYear_THFTYPE_i ) ) ),
    inference(paramod_ordered,[status(thm)],[160,368]) ).

thf(370,plain,
    ! [B: $i,A: $i] :
      ( ( ( lEndFn_THFTYPE_IiiI @ B )
        = ( lBeginFn_THFTYPE_IiiI @ A ) )
      | ( ( minus_THFTYPE_IiiiI @ A @ B )
       != n1_THFTYPE_i )
      | ~ ( instance_THFTYPE_IiioI @ A @ lYear_THFTYPE_i )
      | ( ( instance_THFTYPE_IiioI @ sk1 @ lEntity_THFTYPE_i )
       != ( instance_THFTYPE_IiioI @ B @ lYear_THFTYPE_i ) ) ),
    inference(simp,[status(thm)],[369]) ).

thf(373,plain,
    ! [B: $i,A: $i] :
      ( ( ( lEndFn_THFTYPE_IiiI @ B )
        = ( lBeginFn_THFTYPE_IiiI @ A ) )
      | ( ( minus_THFTYPE_IiiiI @ A @ B )
       != n1_THFTYPE_i )
      | ~ ( instance_THFTYPE_IiioI @ A @ lYear_THFTYPE_i )
      | ( sk1 != B )
      | ( lYear_THFTYPE_i != lEntity_THFTYPE_i ) ),
    inference(simp,[status(thm)],[370]) ).

thf(375,plain,
    ! [A: $i] :
      ( ( ( lEndFn_THFTYPE_IiiI @ sk1 )
        = ( lBeginFn_THFTYPE_IiiI @ A ) )
      | ( ( minus_THFTYPE_IiiiI @ A @ sk1 )
       != n1_THFTYPE_i )
      | ~ ( instance_THFTYPE_IiioI @ A @ lYear_THFTYPE_i )
      | ( lYear_THFTYPE_i != lEntity_THFTYPE_i ) ),
    inference(simp,[status(thm)],[373]) ).

thf(387,plain,
    ! [A: $i] :
      ( ( ( lEndFn_THFTYPE_IiiI @ sk1 )
        = ( lBeginFn_THFTYPE_IiiI @ A ) )
      | ( ( minus_THFTYPE_IiiiI @ A @ sk1 )
       != n1_THFTYPE_i )
      | ~ $true
      | ( lYear_THFTYPE_i != lEntity_THFTYPE_i )
      | ( ( instance_THFTYPE_IiioI @ lMonthFn_THFTYPE_i @ lTemporalRelation_THFTYPE_i )
       != ( instance_THFTYPE_IiioI @ A @ lYear_THFTYPE_i ) ) ),
    inference(paramod_ordered,[status(thm)],[219,375]) ).

thf(388,plain,
    ! [A: $i] :
      ( ( ( lEndFn_THFTYPE_IiiI @ sk1 )
        = ( lBeginFn_THFTYPE_IiiI @ A ) )
      | ( ( minus_THFTYPE_IiiiI @ A @ sk1 )
       != n1_THFTYPE_i )
      | ( lYear_THFTYPE_i != lEntity_THFTYPE_i )
      | ( ( instance_THFTYPE_IiioI @ lMonthFn_THFTYPE_i @ lTemporalRelation_THFTYPE_i )
       != ( instance_THFTYPE_IiioI @ A @ lYear_THFTYPE_i ) ) ),
    inference(simp,[status(thm)],[387]) ).

thf(390,plain,
    ! [A: $i] :
      ( ( ( lEndFn_THFTYPE_IiiI @ sk1 )
        = ( lBeginFn_THFTYPE_IiiI @ A ) )
      | ( ( minus_THFTYPE_IiiiI @ A @ sk1 )
       != n1_THFTYPE_i )
      | ( lYear_THFTYPE_i != lEntity_THFTYPE_i )
      | ( lMonthFn_THFTYPE_i != A )
      | ( lYear_THFTYPE_i != lTemporalRelation_THFTYPE_i ) ),
    inference(simp,[status(thm)],[388]) ).

thf(392,plain,
    ( ( ( lEndFn_THFTYPE_IiiI @ sk1 )
      = ( lBeginFn_THFTYPE_IiiI @ lMonthFn_THFTYPE_i ) )
    | ( ( minus_THFTYPE_IiiiI @ lMonthFn_THFTYPE_i @ sk1 )
     != n1_THFTYPE_i )
    | ( lYear_THFTYPE_i != lEntity_THFTYPE_i )
    | ( lYear_THFTYPE_i != lTemporalRelation_THFTYPE_i ) ),
    inference(simp,[status(thm)],[390]) ).

thf(103,axiom,
    instance_THFTYPE_IIiioIioI @ before_THFTYPE_IiioI @ lTemporalRelation_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_253) ).

thf(297,plain,
    instance_THFTYPE_IIiioIioI @ before_THFTYPE_IiioI @ lTemporalRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).

thf(83,axiom,
    instance_THFTYPE_IIiioIioI @ subrelation_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_232) ).

thf(275,plain,
    instance_THFTYPE_IIiioIioI @ subrelation_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).

thf(68,axiom,
    instance_THFTYPE_IIiioIioI @ lessThan_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_121) ).

thf(260,plain,
    instance_THFTYPE_IIiioIioI @ lessThan_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).

thf(142,axiom,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_094) ).

thf(349,plain,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[142]) ).

thf(12635,plain,
    ( ( instance_THFTYPE_IIiioIioI @ rangeSubclass_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i )
    | ( rangeSubclass_THFTYPE_IiioI @ ( sk41 @ rangeSubclass_THFTYPE_IiioI ) @ ( sk41 @ rangeSubclass_THFTYPE_IiioI ) ) ),
    inference(prim_subst,[status(thm)],[12386:[bind(A,$thf( rangeSubclass_THFTYPE_IiioI ))]]) ).

thf(31,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( subrelation_THFTYPE_IiioI @ C @ A )
        & ( range_THFTYPE_IiioI @ A @ B ) )
     => ( range_THFTYPE_IiioI @ C @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_042) ).

thf(192,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( subrelation_THFTYPE_IiioI @ C @ A )
        & ( range_THFTYPE_IiioI @ A @ B ) )
     => ( range_THFTYPE_IiioI @ C @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).

thf(377,plain,
    ! [B: $i,A: $i] :
      ( ( ( lEndFn_THFTYPE_IiiI @ B )
        = ( lBeginFn_THFTYPE_IiiI @ A ) )
      | ( ( minus_THFTYPE_IiiiI @ A @ B )
       != n1_THFTYPE_i )
      | ~ $true
      | ~ ( instance_THFTYPE_IiioI @ A @ lYear_THFTYPE_i )
      | ( ( instance_THFTYPE_IiioI @ lMonthFn_THFTYPE_i @ lTemporalRelation_THFTYPE_i )
       != ( instance_THFTYPE_IiioI @ B @ lYear_THFTYPE_i ) ) ),
    inference(paramod_ordered,[status(thm)],[219,368]) ).

thf(378,plain,
    ! [B: $i,A: $i] :
      ( ( ( lEndFn_THFTYPE_IiiI @ B )
        = ( lBeginFn_THFTYPE_IiiI @ A ) )
      | ( ( minus_THFTYPE_IiiiI @ A @ B )
       != n1_THFTYPE_i )
      | ~ ( instance_THFTYPE_IiioI @ A @ lYear_THFTYPE_i )
      | ( ( instance_THFTYPE_IiioI @ lMonthFn_THFTYPE_i @ lTemporalRelation_THFTYPE_i )
       != ( instance_THFTYPE_IiioI @ B @ lYear_THFTYPE_i ) ) ),
    inference(simp,[status(thm)],[377]) ).

thf(381,plain,
    ! [B: $i,A: $i] :
      ( ( ( lEndFn_THFTYPE_IiiI @ B )
        = ( lBeginFn_THFTYPE_IiiI @ A ) )
      | ( ( minus_THFTYPE_IiiiI @ A @ B )
       != n1_THFTYPE_i )
      | ~ ( instance_THFTYPE_IiioI @ A @ lYear_THFTYPE_i )
      | ( lMonthFn_THFTYPE_i != B )
      | ( lYear_THFTYPE_i != lTemporalRelation_THFTYPE_i ) ),
    inference(simp,[status(thm)],[378]) ).

thf(383,plain,
    ! [A: $i] :
      ( ( ( lEndFn_THFTYPE_IiiI @ lMonthFn_THFTYPE_i )
        = ( lBeginFn_THFTYPE_IiiI @ A ) )
      | ( ( minus_THFTYPE_IiiiI @ A @ lMonthFn_THFTYPE_i )
       != n1_THFTYPE_i )
      | ~ ( instance_THFTYPE_IiioI @ A @ lYear_THFTYPE_i )
      | ( lYear_THFTYPE_i != lTemporalRelation_THFTYPE_i ) ),
    inference(simp,[status(thm)],[381]) ).

thf(621,plain,
    ! [B: $i,A: $i] :
      ( ( ( lEndFn_THFTYPE_IiiI @ lMonthFn_THFTYPE_i )
        = ( lBeginFn_THFTYPE_IiiI @ B ) )
      | ( ( minus_THFTYPE_IiiiI @ B @ lMonthFn_THFTYPE_i )
       != n1_THFTYPE_i )
      | ~ $true
      | ( lYear_THFTYPE_i != lTemporalRelation_THFTYPE_i )
      | ( ( instance_THFTYPE_IiioI @ A @ lEntity_THFTYPE_i )
       != ( instance_THFTYPE_IiioI @ B @ lYear_THFTYPE_i ) ) ),
    inference(paramod_ordered,[status(thm)],[165,383]) ).

thf(622,plain,
    ! [B: $i,A: $i] :
      ( ( ( lEndFn_THFTYPE_IiiI @ lMonthFn_THFTYPE_i )
        = ( lBeginFn_THFTYPE_IiiI @ B ) )
      | ( ( minus_THFTYPE_IiiiI @ B @ lMonthFn_THFTYPE_i )
       != n1_THFTYPE_i )
      | ( lYear_THFTYPE_i != lTemporalRelation_THFTYPE_i )
      | ( ( instance_THFTYPE_IiioI @ A @ lEntity_THFTYPE_i )
       != ( instance_THFTYPE_IiioI @ B @ lYear_THFTYPE_i ) ) ),
    inference(simp,[status(thm)],[621]) ).

thf(625,plain,
    ! [B: $i,A: $i] :
      ( ( ( lEndFn_THFTYPE_IiiI @ lMonthFn_THFTYPE_i )
        = ( lBeginFn_THFTYPE_IiiI @ B ) )
      | ( ( minus_THFTYPE_IiiiI @ B @ lMonthFn_THFTYPE_i )
       != n1_THFTYPE_i )
      | ( lYear_THFTYPE_i != lTemporalRelation_THFTYPE_i )
      | ( A != B )
      | ( lYear_THFTYPE_i != lEntity_THFTYPE_i ) ),
    inference(simp,[status(thm)],[622]) ).

thf(630,plain,
    ! [A: $i] :
      ( ( ( lEndFn_THFTYPE_IiiI @ lMonthFn_THFTYPE_i )
        = ( lBeginFn_THFTYPE_IiiI @ A ) )
      | ( ( minus_THFTYPE_IiiiI @ A @ lMonthFn_THFTYPE_i )
       != n1_THFTYPE_i )
      | ( lYear_THFTYPE_i != lTemporalRelation_THFTYPE_i )
      | ( lYear_THFTYPE_i != lEntity_THFTYPE_i ) ),
    inference(simp,[status(thm)],[625]) ).

thf(229,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( domain_THFTYPE_IiiioI @ C @ A @ B )
      | ~ ( domain_THFTYPE_IiiioI @ C @ A @ D )
      | ( subclass_THFTYPE_IiioI @ B @ D )
      | ( subclass_THFTYPE_IiioI @ D @ B ) ),
    inference(cnf,[status(esa)],[228]) ).

thf(129,axiom,
    instance_THFTYPE_IIIiioIIiioIoIioI @ inverse_THFTYPE_IIiioIIiioIoI @ lIrreflexiveRelation_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_254) ).

thf(329,plain,
    instance_THFTYPE_IIIiioIIiioIoIioI @ inverse_THFTYPE_IIiioIIiioIoI @ lIrreflexiveRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[129]) ).

thf(91,axiom,
    instance_THFTYPE_IIiioIioI @ range_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_242) ).

thf(285,plain,
    instance_THFTYPE_IIiioIioI @ range_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).

thf(12645,plain,
    ( ( instance_THFTYPE_IIiioIioI @ lt_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i )
    | ( lt_THFTYPE_IiioI @ ( sk41 @ lt_THFTYPE_IiioI ) @ ( sk41 @ lt_THFTYPE_IiioI ) ) ),
    inference(prim_subst,[status(thm)],[12386:[bind(A,$thf( lt_THFTYPE_IiioI ))]]) ).

thf(28,axiom,
    subclass_THFTYPE_IiioI @ lMan_THFTYPE_i @ lHuman_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_025) ).

thf(188,plain,
    subclass_THFTYPE_IiioI @ lMan_THFTYPE_i @ lHuman_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(345,plain,
    ! [B: $o,A: $i] :
      ( ~ ( holdsDuring_THFTYPE_IiooI @ A @ ~ B )
      | ~ ( holdsDuring_THFTYPE_IiooI @ A @ B ) ),
    inference(cnf,[status(esa)],[344]) ).

thf(355,plain,
    ! [B: $o,A: $i] :
      ( ~ ( holdsDuring_THFTYPE_IiooI @ A @ B )
      | ( ( holdsDuring_THFTYPE_IiooI @ A @ ~ B )
       != ( holdsDuring_THFTYPE_IiooI @ A @ B ) )
      | ~ $true ),
    inference(eqfactor_ordered,[status(thm)],[345]) ).

thf(356,plain,
    ! [B: $o,A: $i] :
      ( ~ ( holdsDuring_THFTYPE_IiooI @ A @ B )
      | ( ( holdsDuring_THFTYPE_IiooI @ A @ ~ B )
       != ( holdsDuring_THFTYPE_IiooI @ A @ B ) ) ),
    inference(simp,[status(thm)],[355]) ).

thf(14,axiom,
    domain_THFTYPE_IIiioIiioI @ before_THFTYPE_IiioI @ n1_THFTYPE_i @ lTimePoint_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_166) ).

thf(169,plain,
    domain_THFTYPE_IIiioIiioI @ before_THFTYPE_IiioI @ n1_THFTYPE_i @ lTimePoint_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(86,axiom,
    instance_THFTYPE_IIiioIioI @ inList_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_266) ).

thf(278,plain,
    instance_THFTYPE_IIiioIioI @ inList_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).

thf(12185,plain,
    ! [A: $i > $i > $o] :
      ( ! [B: $i] :
          ~ ( A @ B @ B )
      | ( ( instance_THFTYPE_IIiioIioI @ A @ lIrreflexiveRelation_THFTYPE_i )
       != ( instance_THFTYPE_IIiioIioI @ inList_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i ) ) ),
    inference(paramod_ordered,[status(thm)],[313,278]) ).

thf(12186,plain,
    ! [A: $i] :
      ~ ( inList_THFTYPE_IiioI @ A @ A ),
    inference(pattern_uni,[status(thm)],[12185:[bind(A,$thf( inList_THFTYPE_IiioI ))]]) ).

thf(12397,plain,
    ! [A: $i] :
      ~ ( inList_THFTYPE_IiioI @ A @ A ),
    inference(cnf,[status(esa)],[12186]) ).

thf(119,axiom,
    instance_THFTYPE_IIiioIioI @ disjoint_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_252) ).

thf(317,plain,
    instance_THFTYPE_IIiioIioI @ disjoint_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[119]) ).

thf(193,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( subrelation_THFTYPE_IiioI @ C @ A )
      | ~ ( range_THFTYPE_IiioI @ A @ B )
      | ( range_THFTYPE_IiioI @ C @ B ) ),
    inference(cnf,[status(esa)],[192]) ).

thf(24,axiom,
    domain_THFTYPE_IIiioIiioI @ meetsTemporally_THFTYPE_IiioI @ n1_THFTYPE_i @ lTimeInterval_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_204) ).

thf(183,plain,
    domain_THFTYPE_IIiioIiioI @ meetsTemporally_THFTYPE_IiioI @ n1_THFTYPE_i @ lTimeInterval_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(7604,plain,
    ( domain_THFTYPE_IIiioIiioI
    @ ^ [A: $i,B: $i] :
        ( ( lEndFn_THFTYPE_IiiI @ A )
        = ( lBeginFn_THFTYPE_IiiI @ B ) )
    @ n1_THFTYPE_i
    @ lTimeInterval_THFTYPE_i ),
    inference(rewrite,[status(thm)],[183,151]) ).

thf(212,plain,
    ! [A: $i] :
      ( ~ ( instance_THFTYPE_IiioI @ A @ lTimePoint_THFTYPE_i )
      | ( temporalPart_THFTYPE_IiioI @ A @ ( sk3 @ A ) ) ),
    inference(cnfConj,[status(thm)],[210]) ).

thf(128,axiom,
    instance_THFTYPE_IIiioIioI @ lessThanOrEqualTo_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_115) ).

thf(328,plain,
    instance_THFTYPE_IIiioIioI @ lessThanOrEqualTo_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[128]) ).

thf(64,axiom,
    subclass_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i @ lBinaryRelation_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_037) ).

thf(256,plain,
    subclass_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i @ lBinaryRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).

thf(17,axiom,
    instance_THFTYPE_IIiioIioI @ subrelation_THFTYPE_IiioI @ lPartialOrderingRelation_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_199) ).

thf(173,plain,
    instance_THFTYPE_IIiioIioI @ subrelation_THFTYPE_IiioI @ lPartialOrderingRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(4759,plain,
    ! [A: $i] :
      ( ~ $true
      | ( attribute_THFTYPE_IiioI @ A @ lMale_THFTYPE_i )
      | ( ( instance_THFTYPE_IiioI @ lMonthFn_THFTYPE_i @ lTemporalRelation_THFTYPE_i )
       != ( instance_THFTYPE_IiioI @ A @ lMan_THFTYPE_i ) ) ),
    inference(paramod_ordered,[status(thm)],[219,177]) ).

thf(4760,plain,
    ! [A: $i] :
      ( ( attribute_THFTYPE_IiioI @ A @ lMale_THFTYPE_i )
      | ( ( instance_THFTYPE_IiioI @ lMonthFn_THFTYPE_i @ lTemporalRelation_THFTYPE_i )
       != ( instance_THFTYPE_IiioI @ A @ lMan_THFTYPE_i ) ) ),
    inference(simp,[status(thm)],[4759]) ).

thf(4763,plain,
    ! [A: $i] :
      ( ( attribute_THFTYPE_IiioI @ A @ lMale_THFTYPE_i )
      | ( lMonthFn_THFTYPE_i != A )
      | ( lTemporalRelation_THFTYPE_i != lMan_THFTYPE_i ) ),
    inference(simp,[status(thm)],[4760]) ).

thf(4767,plain,
    ( ( attribute_THFTYPE_IiioI @ lMonthFn_THFTYPE_i @ lMale_THFTYPE_i )
    | ( lTemporalRelation_THFTYPE_i != lMan_THFTYPE_i ) ),
    inference(simp,[status(thm)],[4763]) ).

thf(13782,plain,
    ! [A: $i] :
      ( ( lTemporalRelation_THFTYPE_i != lMan_THFTYPE_i )
      | ~ $true
      | ( ( attribute_THFTYPE_IiioI @ lMonthFn_THFTYPE_i @ lMale_THFTYPE_i )
       != ( attribute_THFTYPE_IiioI @ A @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[4767,12399]) ).

thf(13783,plain,
    ! [A: $i] :
      ( ( lTemporalRelation_THFTYPE_i != lMan_THFTYPE_i )
      | ( ( attribute_THFTYPE_IiioI @ lMonthFn_THFTYPE_i @ lMale_THFTYPE_i )
       != ( attribute_THFTYPE_IiioI @ A @ A ) ) ),
    inference(simp,[status(thm)],[13782]) ).

thf(13787,plain,
    ! [A: $i] :
      ( ( lTemporalRelation_THFTYPE_i != lMan_THFTYPE_i )
      | ( lMonthFn_THFTYPE_i != A )
      | ( lMale_THFTYPE_i != A ) ),
    inference(simp,[status(thm)],[13783]) ).

thf(13804,plain,
    ( ( lTemporalRelation_THFTYPE_i != lMan_THFTYPE_i )
    | ( lMonthFn_THFTYPE_i != lMale_THFTYPE_i ) ),
    inference(simp,[status(thm)],[13787]) ).

thf(244,plain,
    ! [B: $i,A: $i] :
      ( ~ ( subProcess_THFTYPE_IiioI @ A @ B )
      | ( temporalPart_THFTYPE_IiioI @ ( lWhenFn_THFTYPE_IiiI @ A ) @ ( lWhenFn_THFTYPE_IiiI @ B ) ) ),
    inference(cnf,[status(esa)],[243]) ).

thf(74,axiom,
    instance_THFTYPE_IIiioIioI @ subProcess_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_255) ).

thf(266,plain,
    instance_THFTYPE_IIiioIioI @ subProcess_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).

thf(79,axiom,
    instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lTemporalRelation_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_103) ).

thf(271,plain,
    instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lTemporalRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).

thf(586,plain,
    ( instance_THFTYPE_IIiioIioI
    @ ^ [A: $i,B: $i] :
        ( ( lEndFn_THFTYPE_IiiI @ A )
        = ( lBeginFn_THFTYPE_IiiI @ B ) )
    @ lTemporalRelation_THFTYPE_i ),
    inference(rewrite,[status(thm)],[271,151]) ).

thf(137,axiom,
    subrelation_THFTYPE_IIiioIioI @ husband_THFTYPE_IiioI @ spouse_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_116) ).

thf(343,plain,
    subrelation_THFTYPE_IIiioIioI @ husband_THFTYPE_IiioI @ spouse_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[137]) ).

thf(13173,plain,
    ! [A: $i] :
      ( ~ $true
      | ( temporalPart_THFTYPE_IiioI @ A @ ( sk3 @ A ) )
      | ( ( instance_THFTYPE_IiioI @ spouse_THFTYPE_i @ lIrreflexiveRelation_THFTYPE_i )
       != ( instance_THFTYPE_IiioI @ A @ lTimePoint_THFTYPE_i ) ) ),
    inference(paramod_ordered,[status(thm)],[327,212]) ).

thf(13174,plain,
    ! [A: $i] :
      ( ( temporalPart_THFTYPE_IiioI @ A @ ( sk3 @ A ) )
      | ( ( instance_THFTYPE_IiioI @ spouse_THFTYPE_i @ lIrreflexiveRelation_THFTYPE_i )
       != ( instance_THFTYPE_IiioI @ A @ lTimePoint_THFTYPE_i ) ) ),
    inference(simp,[status(thm)],[13173]) ).

thf(13184,plain,
    ! [A: $i] :
      ( ( temporalPart_THFTYPE_IiioI @ A @ ( sk3 @ A ) )
      | ( spouse_THFTYPE_i != A )
      | ( lTimePoint_THFTYPE_i != lIrreflexiveRelation_THFTYPE_i ) ),
    inference(simp,[status(thm)],[13174]) ).

thf(13201,plain,
    ( ( temporalPart_THFTYPE_IiioI @ spouse_THFTYPE_i @ ( sk3 @ spouse_THFTYPE_i ) )
    | ( lTimePoint_THFTYPE_i != lIrreflexiveRelation_THFTYPE_i ) ),
    inference(simp,[status(thm)],[13184]) ).

thf(13,axiom,
    ! [A: $i,B: $i] :
      ( ( ( ( lBeginFn_THFTYPE_IiiI @ A )
          = ( lBeginFn_THFTYPE_IiiI @ B ) )
        & ( ( lEndFn_THFTYPE_IiiI @ A )
          = ( lEndFn_THFTYPE_IiiI @ B ) ) )
     => ( A = B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_041) ).

thf(166,plain,
    ! [A: $i,B: $i] :
      ( ( ( ( lBeginFn_THFTYPE_IiiI @ A )
          = ( lBeginFn_THFTYPE_IiiI @ B ) )
        & ( ( lEndFn_THFTYPE_IiiI @ A )
          = ( lEndFn_THFTYPE_IiiI @ B ) ) )
     => ( A = B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(72,axiom,
    instance_THFTYPE_IIiiIioI @ lWhenFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_126) ).

thf(264,plain,
    instance_THFTYPE_IIiiIioI @ lWhenFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).

thf(9,axiom,
    domain_THFTYPE_IIiioIiioI @ inList_THFTYPE_IiioI @ n1_THFTYPE_i @ lEntity_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_262) ).

thf(161,plain,
    domain_THFTYPE_IIiioIiioI @ inList_THFTYPE_IiioI @ n1_THFTYPE_i @ lEntity_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(87,axiom,
    ! [A: $i > $i > $o] :
      ( ( instance_THFTYPE_IIiioIioI @ A @ lSingleValuedRelation_THFTYPE_i )
     => ! [B: $i,C: $i,D: $i] :
          ( ( ( A @ B @ C )
            & ( A @ B @ D ) )
         => ( C = D ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_001) ).

thf(279,plain,
    ! [A: $i > $i > $o] :
      ( ( instance_THFTYPE_IIiioIioI @ A @ lSingleValuedRelation_THFTYPE_i )
     => ! [B: $i,C: $i,D: $i] :
          ( ( ( A @ B @ C )
            & ( A @ B @ D ) )
         => ( C = D ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).

thf(12128,plain,
    ! [A: $i > $i > $o] :
      ( ! [B: $i] :
          ~ ( A @ B @ B )
      | ( ( instance_THFTYPE_IIiioIioI @ A @ lIrreflexiveRelation_THFTYPE_i )
       != ( instance_THFTYPE_IIiioIioI @ before_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i ) ) ),
    inference(paramod_ordered,[status(thm)],[313,284]) ).

thf(12129,plain,
    ! [A: $i] :
      ~ ( before_THFTYPE_IiioI @ A @ A ),
    inference(pattern_uni,[status(thm)],[12128:[bind(A,$thf( before_THFTYPE_IiioI ))]]) ).

thf(12389,plain,
    ! [A: $i] :
      ~ ( before_THFTYPE_IiioI @ A @ A ),
    inference(cnf,[status(esa)],[12129]) ).

thf(104,axiom,
    domain_THFTYPE_IIiiIiioI @ lBeginFn_THFTYPE_IiiI @ n1_THFTYPE_i @ lTimeInterval_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_146) ).

thf(298,plain,
    domain_THFTYPE_IIiiIiioI @ lBeginFn_THFTYPE_IiiI @ n1_THFTYPE_i @ lTimeInterval_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[104]) ).

thf(22,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ( subrelation_THFTYPE_IiioI @ D @ A )
        & ( domainSubclass_THFTYPE_IiiioI @ A @ B @ C ) )
     => ( domainSubclass_THFTYPE_IiiioI @ D @ B @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_091) ).

thf(180,plain,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ( subrelation_THFTYPE_IiioI @ D @ A )
        & ( domainSubclass_THFTYPE_IiiioI @ A @ B @ C ) )
     => ( domainSubclass_THFTYPE_IiiioI @ D @ B @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(102,axiom,
    instance_THFTYPE_IIiiIioI @ lCardinalityFn_THFTYPE_IiiI @ lAsymmetricRelation_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_159) ).

thf(296,plain,
    instance_THFTYPE_IIiiIioI @ lCardinalityFn_THFTYPE_IiiI @ lAsymmetricRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).

thf(15668,plain,
    ! [A: $i] :
      ( ( lTimeInterval_THFTYPE_i != lTemporalRelation_THFTYPE_i )
      | ~ $true
      | ( ( before_THFTYPE_IiioI @ ( lBeginFn_THFTYPE_IiiI @ lMonthFn_THFTYPE_i ) @ ( lEndFn_THFTYPE_IiiI @ lMonthFn_THFTYPE_i ) )
       != ( before_THFTYPE_IiioI @ A @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[14260,12389]) ).

thf(15669,plain,
    ! [A: $i] :
      ( ( lTimeInterval_THFTYPE_i != lTemporalRelation_THFTYPE_i )
      | ( ( before_THFTYPE_IiioI @ ( lBeginFn_THFTYPE_IiiI @ lMonthFn_THFTYPE_i ) @ ( lEndFn_THFTYPE_IiiI @ lMonthFn_THFTYPE_i ) )
       != ( before_THFTYPE_IiioI @ A @ A ) ) ),
    inference(simp,[status(thm)],[15668]) ).

thf(15702,plain,
    ! [A: $i] :
      ( ( lTimeInterval_THFTYPE_i != lTemporalRelation_THFTYPE_i )
      | ( ( lBeginFn_THFTYPE_IiiI @ lMonthFn_THFTYPE_i )
       != A )
      | ( ( lEndFn_THFTYPE_IiiI @ lMonthFn_THFTYPE_i )
       != A ) ),
    inference(simp,[status(thm)],[15669]) ).

thf(15715,plain,
    ( ( lTimeInterval_THFTYPE_i != lTemporalRelation_THFTYPE_i )
    | ( ( lEndFn_THFTYPE_IiiI @ lMonthFn_THFTYPE_i )
     != ( lBeginFn_THFTYPE_IiiI @ lMonthFn_THFTYPE_i ) ) ),
    inference(simp,[status(thm)],[15702]) ).

thf(30,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( range_THFTYPE_IiioI @ B @ A )
        & ( range_THFTYPE_IiioI @ B @ C ) )
     => ( ( subclass_THFTYPE_IiioI @ A @ C )
        | ( subclass_THFTYPE_IiioI @ C @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_087) ).

thf(190,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( range_THFTYPE_IiioI @ B @ A )
        & ( range_THFTYPE_IiioI @ B @ C ) )
     => ( ( subclass_THFTYPE_IiioI @ A @ C )
        | ( subclass_THFTYPE_IiioI @ C @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).

thf(191,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( range_THFTYPE_IiioI @ B @ A )
      | ~ ( range_THFTYPE_IiioI @ B @ C )
      | ( subclass_THFTYPE_IiioI @ A @ C )
      | ( subclass_THFTYPE_IiioI @ C @ A ) ),
    inference(cnf,[status(esa)],[190]) ).

thf(14628,plain,
    ! [A: $i] :
      ( ~ $true
      | ( attribute_THFTYPE_IiioI @ A @ lFemale_THFTYPE_i )
      | ( ( instance_THFTYPE_IiioI @ lMonthFn_THFTYPE_i @ lTemporalRelation_THFTYPE_i )
       != ( instance_THFTYPE_IiioI @ A @ lWoman_THFTYPE_i ) ) ),
    inference(paramod_ordered,[status(thm)],[219,239]) ).

thf(14629,plain,
    ! [A: $i] :
      ( ( attribute_THFTYPE_IiioI @ A @ lFemale_THFTYPE_i )
      | ( ( instance_THFTYPE_IiioI @ lMonthFn_THFTYPE_i @ lTemporalRelation_THFTYPE_i )
       != ( instance_THFTYPE_IiioI @ A @ lWoman_THFTYPE_i ) ) ),
    inference(simp,[status(thm)],[14628]) ).

thf(14647,plain,
    ! [A: $i] :
      ( ( attribute_THFTYPE_IiioI @ A @ lFemale_THFTYPE_i )
      | ( lMonthFn_THFTYPE_i != A )
      | ( lWoman_THFTYPE_i != lTemporalRelation_THFTYPE_i ) ),
    inference(simp,[status(thm)],[14629]) ).

thf(14659,plain,
    ( ( attribute_THFTYPE_IiioI @ lMonthFn_THFTYPE_i @ lFemale_THFTYPE_i )
    | ( lWoman_THFTYPE_i != lTemporalRelation_THFTYPE_i ) ),
    inference(simp,[status(thm)],[14647]) ).

thf(14740,plain,
    ! [A: $i] :
      ( ( lWoman_THFTYPE_i != lTemporalRelation_THFTYPE_i )
      | ~ $true
      | ( ( attribute_THFTYPE_IiioI @ lMonthFn_THFTYPE_i @ lFemale_THFTYPE_i )
       != ( attribute_THFTYPE_IiioI @ A @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[14659,12399]) ).

thf(14741,plain,
    ! [A: $i] :
      ( ( lWoman_THFTYPE_i != lTemporalRelation_THFTYPE_i )
      | ( ( attribute_THFTYPE_IiioI @ lMonthFn_THFTYPE_i @ lFemale_THFTYPE_i )
       != ( attribute_THFTYPE_IiioI @ A @ A ) ) ),
    inference(simp,[status(thm)],[14740]) ).

thf(14745,plain,
    ! [A: $i] :
      ( ( lWoman_THFTYPE_i != lTemporalRelation_THFTYPE_i )
      | ( lMonthFn_THFTYPE_i != A )
      | ( lFemale_THFTYPE_i != A ) ),
    inference(simp,[status(thm)],[14741]) ).

thf(14760,plain,
    ( ( lWoman_THFTYPE_i != lTemporalRelation_THFTYPE_i )
    | ( lMonthFn_THFTYPE_i != lFemale_THFTYPE_i ) ),
    inference(simp,[status(thm)],[14745]) ).

thf(92,axiom,
    domainSubclass_THFTYPE_IiiioI @ lMonthFn_THFTYPE_i @ n2_THFTYPE_i @ lYear_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_110) ).

thf(286,plain,
    domainSubclass_THFTYPE_IiiioI @ lMonthFn_THFTYPE_i @ n2_THFTYPE_i @ lYear_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).

thf(280,plain,
    ! [D: $i,C: $i,B: $i,A: $i > $i > $o] :
      ( ~ ( instance_THFTYPE_IIiioIioI @ A @ lSingleValuedRelation_THFTYPE_i )
      | ~ ( A @ B @ C )
      | ~ ( A @ B @ D )
      | ( C = D ) ),
    inference(cnf,[status(esa)],[279]) ).

thf(281,plain,
    ! [D: $i,C: $i,B: $i,A: $i > $i > $o] :
      ( ( C = D )
      | ~ ( instance_THFTYPE_IIiioIioI @ A @ lSingleValuedRelation_THFTYPE_i )
      | ~ ( A @ B @ C )
      | ~ ( A @ B @ D ) ),
    inference(lifteq,[status(thm)],[280]) ).

thf(67,axiom,
    instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_202) ).

thf(259,plain,
    instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).

thf(97,axiom,
    instance_THFTYPE_IIiioIioI @ range_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_107) ).

thf(291,plain,
    instance_THFTYPE_IIiioIioI @ range_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).

thf(136,axiom,
    instance_THFTYPE_IIiioIioI @ husband_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_246) ).

thf(342,plain,
    instance_THFTYPE_IIiioIioI @ husband_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[136]) ).

thf(12193,plain,
    ! [A: $i > $i > $o] :
      ( ! [B: $i] :
          ~ ( A @ B @ B )
      | ( ( instance_THFTYPE_IIiioIioI @ A @ lIrreflexiveRelation_THFTYPE_i )
       != ( instance_THFTYPE_IIiioIioI @ husband_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i ) ) ),
    inference(paramod_ordered,[status(thm)],[313,342]) ).

thf(12194,plain,
    ! [A: $i] :
      ~ ( husband_THFTYPE_IiioI @ A @ A ),
    inference(pattern_uni,[status(thm)],[12193:[bind(A,$thf( husband_THFTYPE_IiioI ))]]) ).

thf(12401,plain,
    ! [A: $i] :
      ~ ( husband_THFTYPE_IiioI @ A @ A ),
    inference(cnf,[status(esa)],[12194]) ).

thf(455,plain,
    ! [A: $i] :
      ( ( ( lEndFn_THFTYPE_IiiI @ A )
        = ( lBeginFn_THFTYPE_IiiI @ sk1 ) )
      | ( ( minus_THFTYPE_IiiiI @ sk1 @ A )
       != n1_THFTYPE_i )
      | ~ $true
      | ( lYear_THFTYPE_i != lEntity_THFTYPE_i )
      | ( ( instance_THFTYPE_IiioI @ lMonthFn_THFTYPE_i @ lTemporalRelation_THFTYPE_i )
       != ( instance_THFTYPE_IiioI @ A @ lYear_THFTYPE_i ) ) ),
    inference(paramod_ordered,[status(thm)],[219,376]) ).

thf(456,plain,
    ! [A: $i] :
      ( ( ( lEndFn_THFTYPE_IiiI @ A )
        = ( lBeginFn_THFTYPE_IiiI @ sk1 ) )
      | ( ( minus_THFTYPE_IiiiI @ sk1 @ A )
       != n1_THFTYPE_i )
      | ( lYear_THFTYPE_i != lEntity_THFTYPE_i )
      | ( ( instance_THFTYPE_IiioI @ lMonthFn_THFTYPE_i @ lTemporalRelation_THFTYPE_i )
       != ( instance_THFTYPE_IiioI @ A @ lYear_THFTYPE_i ) ) ),
    inference(simp,[status(thm)],[455]) ).

thf(463,plain,
    ! [A: $i] :
      ( ( ( lEndFn_THFTYPE_IiiI @ A )
        = ( lBeginFn_THFTYPE_IiiI @ sk1 ) )
      | ( ( minus_THFTYPE_IiiiI @ sk1 @ A )
       != n1_THFTYPE_i )
      | ( lYear_THFTYPE_i != lEntity_THFTYPE_i )
      | ( lMonthFn_THFTYPE_i != A )
      | ( lYear_THFTYPE_i != lTemporalRelation_THFTYPE_i ) ),
    inference(simp,[status(thm)],[456]) ).

thf(466,plain,
    ( ( ( lEndFn_THFTYPE_IiiI @ lMonthFn_THFTYPE_i )
      = ( lBeginFn_THFTYPE_IiiI @ sk1 ) )
    | ( ( minus_THFTYPE_IiiiI @ sk1 @ lMonthFn_THFTYPE_i )
     != n1_THFTYPE_i )
    | ( lYear_THFTYPE_i != lEntity_THFTYPE_i )
    | ( lYear_THFTYPE_i != lTemporalRelation_THFTYPE_i ) ),
    inference(simp,[status(thm)],[463]) ).

thf(181,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( subrelation_THFTYPE_IiioI @ D @ A )
      | ~ ( domainSubclass_THFTYPE_IiiioI @ A @ B @ C )
      | ( domainSubclass_THFTYPE_IiiioI @ D @ B @ C ) ),
    inference(cnf,[status(esa)],[180]) ).

thf(27,axiom,
    subclass_THFTYPE_IiioI @ lYear_THFTYPE_i @ lTimeInterval_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_014) ).

thf(187,plain,
    subclass_THFTYPE_IiioI @ lYear_THFTYPE_i @ lTimeInterval_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(16,axiom,
    instance_THFTYPE_IIiioIioI @ subProcess_THFTYPE_IiioI @ lPartialOrderingRelation_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_212) ).

thf(172,plain,
    instance_THFTYPE_IIiioIioI @ subProcess_THFTYPE_IiioI @ lPartialOrderingRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(82,axiom,
    instance_THFTYPE_IIiioIioI @ rangeSubclass_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_249) ).

thf(274,plain,
    instance_THFTYPE_IIiioIioI @ rangeSubclass_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).

thf(50,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( subclass_THFTYPE_IiioI @ A @ B )
        & ( instance_THFTYPE_IiioI @ C @ A ) )
     => ( instance_THFTYPE_IiioI @ C @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_002) ).

thf(230,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( subclass_THFTYPE_IiioI @ A @ B )
        & ( instance_THFTYPE_IiioI @ C @ A ) )
     => ( instance_THFTYPE_IiioI @ C @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).

thf(59,axiom,
    domain_THFTYPE_IIiioIiioI @ subProcess_THFTYPE_IiioI @ n1_THFTYPE_i @ lProcess_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_111) ).

thf(245,plain,
    domain_THFTYPE_IIiioIiioI @ subProcess_THFTYPE_IiioI @ n1_THFTYPE_i @ lProcess_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).

thf(120,axiom,
    subclass_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i @ lIrreflexiveRelation_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_010) ).

thf(318,plain,
    subclass_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i @ lIrreflexiveRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[120]) ).

thf(109,axiom,
    instance_THFTYPE_IIiioIioI @ greaterThan_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_224) ).

thf(303,plain,
    instance_THFTYPE_IIiioIioI @ greaterThan_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[109]) ).

thf(13171,plain,
    ! [A: $i] :
      ( ~ $true
      | ( temporalPart_THFTYPE_IiioI @ A @ ( sk3 @ A ) )
      | ( ( instance_THFTYPE_IiioI @ lMonthFn_THFTYPE_i @ lTemporalRelation_THFTYPE_i )
       != ( instance_THFTYPE_IiioI @ A @ lTimePoint_THFTYPE_i ) ) ),
    inference(paramod_ordered,[status(thm)],[219,212]) ).

thf(13172,plain,
    ! [A: $i] :
      ( ( temporalPart_THFTYPE_IiioI @ A @ ( sk3 @ A ) )
      | ( ( instance_THFTYPE_IiioI @ lMonthFn_THFTYPE_i @ lTemporalRelation_THFTYPE_i )
       != ( instance_THFTYPE_IiioI @ A @ lTimePoint_THFTYPE_i ) ) ),
    inference(simp,[status(thm)],[13171]) ).

thf(13187,plain,
    ! [A: $i] :
      ( ( temporalPart_THFTYPE_IiioI @ A @ ( sk3 @ A ) )
      | ( lMonthFn_THFTYPE_i != A )
      | ( lTimePoint_THFTYPE_i != lTemporalRelation_THFTYPE_i ) ),
    inference(simp,[status(thm)],[13172]) ).

thf(13204,plain,
    ( ( temporalPart_THFTYPE_IiioI @ lMonthFn_THFTYPE_i @ ( sk3 @ lMonthFn_THFTYPE_i ) )
    | ( lTimePoint_THFTYPE_i != lTemporalRelation_THFTYPE_i ) ),
    inference(simp,[status(thm)],[13187]) ).

thf(207,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ? [D: $i] :
          ( ( subrelation_THFTYPE_IiioI @ B @ D )
          & ( domain_THFTYPE_IiiioI @ D @ A @ C ) )
     => ( domain_THFTYPE_IiiioI @ B @ A @ C ) ),
    inference(miniscope,[status(thm)],[206]) ).

thf(208,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( subrelation_THFTYPE_IiioI @ B @ D )
      | ~ ( domain_THFTYPE_IiiioI @ D @ A @ C )
      | ( domain_THFTYPE_IiiioI @ B @ A @ C ) ),
    inference(cnf,[status(esa)],[207]) ).

thf(610,plain,
    ! [B: $i,A: $i] :
      ( ( ( lEndFn_THFTYPE_IiiI @ B )
        = ( lBeginFn_THFTYPE_IiiI @ lMonthFn_THFTYPE_i ) )
      | ( ( minus_THFTYPE_IiiiI @ lMonthFn_THFTYPE_i @ B )
       != n1_THFTYPE_i )
      | ~ $true
      | ( lYear_THFTYPE_i != lTemporalRelation_THFTYPE_i )
      | ( ( instance_THFTYPE_IiioI @ A @ lEntity_THFTYPE_i )
       != ( instance_THFTYPE_IiioI @ B @ lYear_THFTYPE_i ) ) ),
    inference(paramod_ordered,[status(thm)],[165,384]) ).

thf(611,plain,
    ! [B: $i,A: $i] :
      ( ( ( lEndFn_THFTYPE_IiiI @ B )
        = ( lBeginFn_THFTYPE_IiiI @ lMonthFn_THFTYPE_i ) )
      | ( ( minus_THFTYPE_IiiiI @ lMonthFn_THFTYPE_i @ B )
       != n1_THFTYPE_i )
      | ( lYear_THFTYPE_i != lTemporalRelation_THFTYPE_i )
      | ( ( instance_THFTYPE_IiioI @ A @ lEntity_THFTYPE_i )
       != ( instance_THFTYPE_IiioI @ B @ lYear_THFTYPE_i ) ) ),
    inference(simp,[status(thm)],[610]) ).

thf(626,plain,
    ! [B: $i,A: $i] :
      ( ( ( lEndFn_THFTYPE_IiiI @ B )
        = ( lBeginFn_THFTYPE_IiiI @ lMonthFn_THFTYPE_i ) )
      | ( ( minus_THFTYPE_IiiiI @ lMonthFn_THFTYPE_i @ B )
       != n1_THFTYPE_i )
      | ( lYear_THFTYPE_i != lTemporalRelation_THFTYPE_i )
      | ( A != B )
      | ( lYear_THFTYPE_i != lEntity_THFTYPE_i ) ),
    inference(simp,[status(thm)],[611]) ).

thf(631,plain,
    ! [A: $i] :
      ( ( ( lEndFn_THFTYPE_IiiI @ A )
        = ( lBeginFn_THFTYPE_IiiI @ lMonthFn_THFTYPE_i ) )
      | ( ( minus_THFTYPE_IiiiI @ lMonthFn_THFTYPE_i @ A )
       != n1_THFTYPE_i )
      | ( lYear_THFTYPE_i != lTemporalRelation_THFTYPE_i )
      | ( lYear_THFTYPE_i != lEntity_THFTYPE_i ) ),
    inference(simp,[status(thm)],[626]) ).

thf(125,axiom,
    ! [A: $i > $i > $o,B: $i > $i > $o] :
      ( ( inverse_THFTYPE_IIiioIIiioIoI @ B @ A )
     => ! [C: $i,D: $i] :
          ( ( B @ C @ D )
          = ( A @ D @ C ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_005) ).

thf(323,plain,
    ! [A: $i > $i > $o,B: $i > $i > $o] :
      ( ( inverse_THFTYPE_IIiioIIiioIoI @ B @ A )
     => ! [C: $i,D: $i] :
          ( ( B @ C @ D )
          = ( A @ D @ C ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[125]) ).

thf(39,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ( rangeSubclass_THFTYPE_IiioI @ D @ B )
        & ( rangeSubclass_THFTYPE_IiioI @ A @ C )
        & ( disjoint_THFTYPE_IiioI @ B @ C ) )
     => ( disjointRelation_THFTYPE_IiioI @ D @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax) ).

thf(213,plain,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ( rangeSubclass_THFTYPE_IiioI @ D @ B )
        & ( rangeSubclass_THFTYPE_IiioI @ A @ C )
        & ( disjoint_THFTYPE_IiioI @ B @ C ) )
     => ( disjointRelation_THFTYPE_IiioI @ D @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).

thf(56,axiom,
    inverse_THFTYPE_IIiioIIiioIoI @ greaterThanOrEqualTo_THFTYPE_IiioI @ lessThanOrEqualTo_THFTYPE_IiioI,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_095) ).

thf(240,plain,
    inverse_THFTYPE_IIiioIIiioIoI @ greaterThanOrEqualTo_THFTYPE_IiioI @ lessThanOrEqualTo_THFTYPE_IiioI,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).

thf(11567,plain,
    ! [A: $i] :
      ( ~ $true
      | ( instance_THFTYPE_IiioI @ ( sk2 @ A ) @ lTimePoint_THFTYPE_i )
      | ( ( instance_THFTYPE_IiioI @ lMonthFn_THFTYPE_i @ lTemporalRelation_THFTYPE_i )
       != ( instance_THFTYPE_IiioI @ A @ lTimeInterval_THFTYPE_i ) ) ),
    inference(paramod_ordered,[status(thm)],[219,199]) ).

thf(11568,plain,
    ! [A: $i] :
      ( ( instance_THFTYPE_IiioI @ ( sk2 @ A ) @ lTimePoint_THFTYPE_i )
      | ( ( instance_THFTYPE_IiioI @ lMonthFn_THFTYPE_i @ lTemporalRelation_THFTYPE_i )
       != ( instance_THFTYPE_IiioI @ A @ lTimeInterval_THFTYPE_i ) ) ),
    inference(simp,[status(thm)],[11567]) ).

thf(11602,plain,
    ! [A: $i] :
      ( ( instance_THFTYPE_IiioI @ ( sk2 @ A ) @ lTimePoint_THFTYPE_i )
      | ( lMonthFn_THFTYPE_i != A )
      | ( lTimeInterval_THFTYPE_i != lTemporalRelation_THFTYPE_i ) ),
    inference(simp,[status(thm)],[11568]) ).

thf(11630,plain,
    ( ( instance_THFTYPE_IiioI @ ( sk2 @ lMonthFn_THFTYPE_i ) @ lTimePoint_THFTYPE_i )
    | ( lTimeInterval_THFTYPE_i != lTemporalRelation_THFTYPE_i ) ),
    inference(simp,[status(thm)],[11602]) ).

thf(7,axiom,
    ! [A: $i,B: $i] :
      ( ( ( lEndFn_THFTYPE_IiiI @ B )
        = A )
     => ! [C: $i] :
          ( ( ( temporalPart_THFTYPE_IiioI @ C @ B )
            & ( C != A ) )
         => ( before_THFTYPE_IiioI @ C @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_076) ).

thf(155,plain,
    ! [A: $i,B: $i] :
      ( ( ( lEndFn_THFTYPE_IiiI @ B )
        = A )
     => ! [C: $i] :
          ( ( ( temporalPart_THFTYPE_IiioI @ C @ B )
            & ( C != A ) )
         => ( before_THFTYPE_IiioI @ C @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(130,axiom,
    inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_082) ).

thf(330,plain,
    inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[130]) ).

thf(12655,plain,
    ( ( instance_THFTYPE_IIiioIioI @ lessThanOrEqualTo_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i )
    | ( lessThanOrEqualTo_THFTYPE_IiioI @ ( sk41 @ lessThanOrEqualTo_THFTYPE_IiioI ) @ ( sk41 @ lessThanOrEqualTo_THFTYPE_IiioI ) ) ),
    inference(prim_subst,[status(thm)],[12386:[bind(A,$thf( lessThanOrEqualTo_THFTYPE_IiioI ))]]) ).

thf(47,axiom,
    domainSubclass_THFTYPE_IiiioI @ lMonthFn_THFTYPE_i @ n1_THFTYPE_i @ lMonth_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_264) ).

thf(226,plain,
    domainSubclass_THFTYPE_IiiioI @ lMonthFn_THFTYPE_i @ n1_THFTYPE_i @ lMonth_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).

thf(57,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ( range_THFTYPE_IiioI @ D @ B )
        & ( range_THFTYPE_IiioI @ A @ C )
        & ( disjoint_THFTYPE_IiioI @ B @ C ) )
     => ( disjointRelation_THFTYPE_IiioI @ D @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_073) ).

thf(241,plain,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ( range_THFTYPE_IiioI @ D @ B )
        & ( range_THFTYPE_IiioI @ A @ C )
        & ( disjoint_THFTYPE_IiioI @ B @ C ) )
     => ( disjointRelation_THFTYPE_IiioI @ D @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).

thf(105,axiom,
    domain_THFTYPE_IIIiioIIiioIoIiioI @ inverse_THFTYPE_IIiioIIiioIoI @ n2_THFTYPE_i @ lBinaryRelation_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_141) ).

thf(299,plain,
    domain_THFTYPE_IIIiioIIiioIoIiioI @ inverse_THFTYPE_IIiioIIiioIoI @ n2_THFTYPE_i @ lBinaryRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).

thf(12644,plain,
    ( ( instance_THFTYPE_IIiioIioI @ disjoint_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i )
    | ( disjoint_THFTYPE_IiioI @ ( sk41 @ disjoint_THFTYPE_IiioI ) @ ( sk41 @ disjoint_THFTYPE_IiioI ) ) ),
    inference(prim_subst,[status(thm)],[12386:[bind(A,$thf( disjoint_THFTYPE_IiioI ))]]) ).

thf(10,axiom,
    relatedInternalConcept_THFTYPE_IiioI @ lMonth_THFTYPE_i @ lMonthFn_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_112) ).

thf(162,plain,
    relatedInternalConcept_THFTYPE_IiioI @ lMonth_THFTYPE_i @ lMonthFn_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(32,axiom,
    domain_THFTYPE_IIiioIiioI @ duration_THFTYPE_IiioI @ n1_THFTYPE_i @ lTimeInterval_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_183) ).

thf(194,plain,
    domain_THFTYPE_IIiioIiioI @ duration_THFTYPE_IiioI @ n1_THFTYPE_i @ lTimeInterval_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).

thf(88,axiom,
    instance_THFTYPE_IIiioIioI @ temporalPart_THFTYPE_IiioI @ lPartialOrderingRelation_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_133) ).

thf(282,plain,
    instance_THFTYPE_IIiioIioI @ temporalPart_THFTYPE_IiioI @ lPartialOrderingRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).

thf(12056,plain,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true,
    inference(rewrite,[status(thm)],[349,11926]) ).

thf(13428,plain,
    ! [A: $i] :
      ( ~ $true
      | ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
       != ( wife_THFTYPE_IiioI @ A @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[11926,12403]) ).

thf(13429,plain,
    ! [A: $i] :
      ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
     != ( wife_THFTYPE_IiioI @ A @ A ) ),
    inference(simp,[status(thm)],[13428]) ).

thf(13432,plain,
    ! [A: $i] :
      ( ( lCorina_THFTYPE_i != A )
      | ( lChris_THFTYPE_i != A ) ),
    inference(simp,[status(thm)],[13429]) ).

thf(13435,plain,
    lCorina_THFTYPE_i != lChris_THFTYPE_i,
    inference(simp,[status(thm)],[13432]) ).

thf(5602,plain,
    ( instance_THFTYPE_IIiioIioI
    @ ^ [A: $i,B: $i] :
        ( ( lEndFn_THFTYPE_IiiI @ A )
        = ( lBeginFn_THFTYPE_IiiI @ B ) )
    @ lBinaryPredicate_THFTYPE_i ),
    inference(rewrite,[status(thm)],[316,151]) ).

thf(101,axiom,
    instance_THFTYPE_IIiioIioI @ subAttribute_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_279) ).

thf(295,plain,
    instance_THFTYPE_IIiioIioI @ subAttribute_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).

thf(71,axiom,
    instance_THFTYPE_IIiioIioI @ rangeSubclass_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_198) ).

thf(263,plain,
    instance_THFTYPE_IIiioIioI @ rangeSubclass_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).

thf(114,axiom,
    rangeSubclass_THFTYPE_IiioI @ lYearFn_THFTYPE_i @ lYear_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_101) ).

thf(310,plain,
    rangeSubclass_THFTYPE_IiioI @ lYearFn_THFTYPE_i @ lYear_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[114]) ).

thf(12584,plain,
    ! [B: $i,A: $i > $i > $o] :
      ( ( instance_THFTYPE_IIiioIioI @ A @ lIrreflexiveRelation_THFTYPE_i )
      | ~ $true
      | ( ( A @ ( sk41 @ A ) @ ( sk41 @ A ) )
       != ( husband_THFTYPE_IiioI @ B @ lCorina_THFTYPE_i ) ) ),
    inference(paramod_ordered,[status(thm)],[12386,11841]) ).

thf(12585,plain,
    ! [B: $i,A: $i > $i > $o] :
      ( ( instance_THFTYPE_IIiioIioI @ A @ lIrreflexiveRelation_THFTYPE_i )
      | ( ( A @ ( sk41 @ A ) @ ( sk41 @ A ) )
       != ( husband_THFTYPE_IiioI @ B @ lCorina_THFTYPE_i ) ) ),
    inference(simp,[status(thm)],[12584]) ).

thf(12747,plain,
    ! [A: $i > $i > $i] :
      ( instance_THFTYPE_IIiioIioI
      @ ^ [B: $i,C: $i] : ( husband_THFTYPE_IiioI @ ( A @ B @ C ) @ lCorina_THFTYPE_i )
      @ lIrreflexiveRelation_THFTYPE_i ),
    inference(pre_uni,[status(thm)],[12585:[bind(A,$thf( ^ [D: $i] : ^ [E: $i] : ( husband_THFTYPE_IiioI @ ( C @ D @ E ) @ lCorina_THFTYPE_i ) )),bind(B,$thf( C @ ( sk41 @ ^ [D: $i] : ^ [E: $i] : ( husband_THFTYPE_IiioI @ ( C @ D @ E ) @ lCorina_THFTYPE_i ) ) @ ( sk41 @ ^ [D: $i] : ^ [E: $i] : ( husband_THFTYPE_IiioI @ ( C @ D @ E ) @ lCorina_THFTYPE_i ) ) ))]]) ).

thf(12890,plain,
    ! [A: $i > $i > $i] :
      ( instance_THFTYPE_IIiioIioI
      @ ^ [B: $i,C: $i] : ( husband_THFTYPE_IiioI @ ( A @ B @ C ) @ lCorina_THFTYPE_i )
      @ lIrreflexiveRelation_THFTYPE_i ),
    inference(simp,[status(thm)],[12747]) ).

thf(12937,plain,
    ( instance_THFTYPE_IIiioIioI
    @ ^ [A: $i,B: $i] : $false
    @ lIrreflexiveRelation_THFTYPE_i ),
    inference(rewrite,[status(thm)],[12890,11841]) ).

thf(131,axiom,
    instance_THFTYPE_IIiiIioI @ lYearFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_124) ).

thf(331,plain,
    instance_THFTYPE_IIiiIioI @ lYearFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[131]) ).

thf(23,axiom,
    domain_THFTYPE_IIiioIiioI @ relatedInternalConcept_THFTYPE_IiioI @ n2_THFTYPE_i @ lEntity_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_231) ).

thf(182,plain,
    domain_THFTYPE_IIiioIiioI @ relatedInternalConcept_THFTYPE_IiioI @ n2_THFTYPE_i @ lEntity_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(12647,plain,
    ( ( instance_THFTYPE_IIiioIioI @ subrelation_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i )
    | ( subrelation_THFTYPE_IiioI @ ( sk41 @ subrelation_THFTYPE_IiioI ) @ ( sk41 @ subrelation_THFTYPE_IiioI ) ) ),
    inference(prim_subst,[status(thm)],[12386:[bind(A,$thf( subrelation_THFTYPE_IiioI ))]]) ).

thf(6,axiom,
    rangeSubclass_THFTYPE_IiioI @ lMonthFn_THFTYPE_i @ lMonth_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_040) ).

thf(154,plain,
    rangeSubclass_THFTYPE_IiioI @ lMonthFn_THFTYPE_i @ lMonth_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(19,axiom,
    range_THFTYPE_IiioI @ lWhenFn_THFTYPE_i @ lTimeInterval_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_077) ).

thf(175,plain,
    range_THFTYPE_IiioI @ lWhenFn_THFTYPE_i @ lTimeInterval_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(14116,plain,
    ! [A: $i] :
      ( ( lTimeInterval_THFTYPE_i != lTemporalRelation_THFTYPE_i )
      | ~ $true
      | ( instance_THFTYPE_IiioI @ ( sk3 @ A ) @ lTimeInterval_THFTYPE_i )
      | ( ( instance_THFTYPE_IiioI @ ( sk2 @ lMonthFn_THFTYPE_i ) @ lTimePoint_THFTYPE_i )
       != ( instance_THFTYPE_IiioI @ A @ lTimePoint_THFTYPE_i ) ) ),
    inference(paramod_ordered,[status(thm)],[11630,211]) ).

thf(14117,plain,
    ! [A: $i] :
      ( ( lTimeInterval_THFTYPE_i != lTemporalRelation_THFTYPE_i )
      | ( instance_THFTYPE_IiioI @ ( sk3 @ A ) @ lTimeInterval_THFTYPE_i )
      | ( ( instance_THFTYPE_IiioI @ ( sk2 @ lMonthFn_THFTYPE_i ) @ lTimePoint_THFTYPE_i )
       != ( instance_THFTYPE_IiioI @ A @ lTimePoint_THFTYPE_i ) ) ),
    inference(simp,[status(thm)],[14116]) ).

thf(14118,plain,
    ( ( lTimeInterval_THFTYPE_i != lTemporalRelation_THFTYPE_i )
    | ( instance_THFTYPE_IiioI @ ( sk3 @ ( sk2 @ lMonthFn_THFTYPE_i ) ) @ lTimeInterval_THFTYPE_i ) ),
    inference(pattern_uni,[status(thm)],[14117:[bind(A,$thf( sk2 @ lMonthFn_THFTYPE_i ))]]) ).

thf(450,plain,
    ( instance_THFTYPE_IIiioIioI
    @ ^ [A: $i,B: $i] :
        ( ( lEndFn_THFTYPE_IiiI @ A )
        = ( lBeginFn_THFTYPE_IiiI @ B ) )
    @ lAsymmetricRelation_THFTYPE_i ),
    inference(rewrite,[status(thm)],[259,151]) ).

thf(218,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( domainSubclass_THFTYPE_IiiioI @ E @ B @ C )
      | ~ ( domainSubclass_THFTYPE_IiiioI @ A @ B @ D )
      | ~ ( disjoint_THFTYPE_IiioI @ C @ D )
      | ( disjointRelation_THFTYPE_IiioI @ E @ A ) ),
    inference(cnf,[status(esa)],[217]) ).

thf(11306,plain,
    ! [B: $o,A: $i] :
      ( ~ $true
      | ( ( holdsDuring_THFTYPE_IiooI @ A @ ~ B )
       != ( holdsDuring_THFTYPE_IiooI @ A @ B ) )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ) )
       != ( holdsDuring_THFTYPE_IiooI @ A @ B ) ) ),
    inference(paramod_ordered,[status(thm)],[339,356]) ).

thf(11307,plain,
    ! [B: $o,A: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ A @ ~ B )
       != ( holdsDuring_THFTYPE_IiooI @ A @ B ) )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ) )
       != ( holdsDuring_THFTYPE_IiooI @ A @ B ) ) ),
    inference(simp,[status(thm)],[11306]) ).

thf(11308,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
      @ ~ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ) )
   != ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ) ) ),
    inference(pattern_uni,[status(thm)],[11307:[bind(A,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )),bind(B,$thf( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ))]]) ).

thf(13631,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true )
   != ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ),
    inference(rewrite,[status(thm)],[11308,11926]) ).

thf(13632,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
   != ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ),
    inference(simp,[status(thm)],[13631]) ).

thf(231,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( subclass_THFTYPE_IiioI @ A @ B )
      | ~ ( instance_THFTYPE_IiioI @ C @ A )
      | ( instance_THFTYPE_IiioI @ C @ B ) ),
    inference(cnf,[status(esa)],[230]) ).

thf(66,axiom,
    instance_THFTYPE_IIiioIioI @ temporalPart_THFTYPE_IiioI @ lTemporalRelation_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_153) ).

thf(258,plain,
    instance_THFTYPE_IIiioIioI @ temporalPart_THFTYPE_IiioI @ lTemporalRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).

thf(26,axiom,
    domain_THFTYPE_IIiioIiioI @ before_THFTYPE_IiioI @ n2_THFTYPE_i @ lTimePoint_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_182) ).

thf(186,plain,
    domain_THFTYPE_IIiioIiioI @ before_THFTYPE_IiioI @ n2_THFTYPE_i @ lTimePoint_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(11731,plain,
    ! [C: $o,B: $i,A: $i] :
      ( ~ ( holdsDuring_THFTYPE_IiooI @ B @ ~ C )
      | ~ $true
      | ( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
       != ( holdsDuring_THFTYPE_IiooI @ B @ C ) ) ),
    inference(paramod_ordered,[status(thm)],[351,345]) ).

thf(11732,plain,
    ! [C: $o,B: $i,A: $i] :
      ( ~ ( holdsDuring_THFTYPE_IiooI @ B @ ~ C )
      | ( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
       != ( holdsDuring_THFTYPE_IiooI @ B @ C ) ) ),
    inference(simp,[status(thm)],[11731]) ).

thf(11733,plain,
    ! [A: $i] :
      ~ ( holdsDuring_THFTYPE_IiooI @ A @ ~ $true ),
    inference(pattern_uni,[status(thm)],[11732:[bind(A,$thf( A )),bind(B,$thf( A )),bind(C,$thf( $true ))]]) ).

thf(11867,plain,
    ! [A: $i] :
      ~ ( holdsDuring_THFTYPE_IiooI @ A @ $false ),
    inference(simp,[status(thm)],[11733]) ).

thf(616,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( lEndFn_THFTYPE_IiiI @ C )
        = ( lBeginFn_THFTYPE_IiiI @ B ) )
      | ( ( minus_THFTYPE_IiiiI @ B @ C )
       != n1_THFTYPE_i )
      | ~ $true
      | ~ ( instance_THFTYPE_IiioI @ B @ lYear_THFTYPE_i )
      | ( ( instance_THFTYPE_IiioI @ A @ lEntity_THFTYPE_i )
       != ( instance_THFTYPE_IiioI @ C @ lYear_THFTYPE_i ) ) ),
    inference(paramod_ordered,[status(thm)],[165,368]) ).

thf(617,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( lEndFn_THFTYPE_IiiI @ C )
        = ( lBeginFn_THFTYPE_IiiI @ B ) )
      | ( ( minus_THFTYPE_IiiiI @ B @ C )
       != n1_THFTYPE_i )
      | ~ ( instance_THFTYPE_IiioI @ B @ lYear_THFTYPE_i )
      | ( ( instance_THFTYPE_IiioI @ A @ lEntity_THFTYPE_i )
       != ( instance_THFTYPE_IiioI @ C @ lYear_THFTYPE_i ) ) ),
    inference(simp,[status(thm)],[616]) ).

thf(627,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( lEndFn_THFTYPE_IiiI @ C )
        = ( lBeginFn_THFTYPE_IiiI @ B ) )
      | ( ( minus_THFTYPE_IiiiI @ B @ C )
       != n1_THFTYPE_i )
      | ~ ( instance_THFTYPE_IiioI @ B @ lYear_THFTYPE_i )
      | ( A != C )
      | ( lYear_THFTYPE_i != lEntity_THFTYPE_i ) ),
    inference(simp,[status(thm)],[617]) ).

thf(632,plain,
    ! [B: $i,A: $i] :
      ( ( ( lEndFn_THFTYPE_IiiI @ B )
        = ( lBeginFn_THFTYPE_IiiI @ A ) )
      | ( ( minus_THFTYPE_IiiiI @ A @ B )
       != n1_THFTYPE_i )
      | ~ ( instance_THFTYPE_IiioI @ A @ lYear_THFTYPE_i )
      | ( lYear_THFTYPE_i != lEntity_THFTYPE_i ) ),
    inference(simp,[status(thm)],[627]) ).

thf(171,plain,
    ! [B: $i,A: $i] :
      ( ~ ( parent_THFTYPE_IiioI @ A @ B )
      | ( before_THFTYPE_IiioI @ ( lBeginFn_THFTYPE_IiiI @ ( lWhenFn_THFTYPE_IiiI @ B ) ) @ ( lBeginFn_THFTYPE_IiiI @ ( lWhenFn_THFTYPE_IiiI @ A ) ) ) ),
    inference(cnf,[status(esa)],[170]) ).

thf(12120,plain,
    ! [A: $i > $i > $o] :
      ( ! [B: $i] :
          ~ ( A @ B @ B )
      | ( ( instance_THFTYPE_IIiioIioI @ A @ lIrreflexiveRelation_THFTYPE_i )
       != ( instance_THFTYPE_IIiioIioI @ disjointRelation_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i ) ) ),
    inference(paramod_ordered,[status(thm)],[313,269]) ).

thf(12121,plain,
    ! [A: $i] :
      ~ ( disjointRelation_THFTYPE_IiioI @ A @ A ),
    inference(pattern_uni,[status(thm)],[12120:[bind(A,$thf( disjointRelation_THFTYPE_IiioI ))]]) ).

thf(12387,plain,
    ! [A: $i] :
      ~ ( disjointRelation_THFTYPE_IiioI @ A @ A ),
    inference(cnf,[status(esa)],[12121]) ).

thf(13059,plain,
    ! [A: $i] :
      ( ~ $true
      | ( instance_THFTYPE_IiioI @ ( sk3 @ A ) @ lTimeInterval_THFTYPE_i )
      | ( ( instance_THFTYPE_IiioI @ spouse_THFTYPE_i @ lIrreflexiveRelation_THFTYPE_i )
       != ( instance_THFTYPE_IiioI @ A @ lTimePoint_THFTYPE_i ) ) ),
    inference(paramod_ordered,[status(thm)],[327,211]) ).

thf(13060,plain,
    ! [A: $i] :
      ( ( instance_THFTYPE_IiioI @ ( sk3 @ A ) @ lTimeInterval_THFTYPE_i )
      | ( ( instance_THFTYPE_IiioI @ spouse_THFTYPE_i @ lIrreflexiveRelation_THFTYPE_i )
       != ( instance_THFTYPE_IiioI @ A @ lTimePoint_THFTYPE_i ) ) ),
    inference(simp,[status(thm)],[13059]) ).

thf(13088,plain,
    ! [A: $i] :
      ( ( instance_THFTYPE_IiioI @ ( sk3 @ A ) @ lTimeInterval_THFTYPE_i )
      | ( spouse_THFTYPE_i != A )
      | ( lTimePoint_THFTYPE_i != lIrreflexiveRelation_THFTYPE_i ) ),
    inference(simp,[status(thm)],[13060]) ).

thf(13114,plain,
    ( ( instance_THFTYPE_IiioI @ ( sk3 @ spouse_THFTYPE_i ) @ lTimeInterval_THFTYPE_i )
    | ( lTimePoint_THFTYPE_i != lIrreflexiveRelation_THFTYPE_i ) ),
    inference(simp,[status(thm)],[13088]) ).

thf(121,axiom,
    domain_THFTYPE_IiiioI @ spouse_THFTYPE_i @ n1_THFTYPE_i @ lHuman_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_209) ).

thf(319,plain,
    domain_THFTYPE_IiiioI @ spouse_THFTYPE_i @ n1_THFTYPE_i @ lHuman_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[121]) ).

thf(156,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( lEndFn_THFTYPE_IiiI @ B )
       != A )
      | ~ ( temporalPart_THFTYPE_IiioI @ C @ B )
      | ( C = A )
      | ( before_THFTYPE_IiioI @ C @ A ) ),
    inference(cnf,[status(esa)],[155]) ).

thf(157,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( lEndFn_THFTYPE_IiiI @ B )
       != A )
      | ( C = A )
      | ~ ( temporalPart_THFTYPE_IiioI @ C @ B )
      | ( before_THFTYPE_IiioI @ C @ A ) ),
    inference(lifteq,[status(thm)],[156]) ).

thf(158,plain,
    ! [B: $i,A: $i] :
      ( ( B
        = ( lEndFn_THFTYPE_IiiI @ A ) )
      | ~ ( temporalPart_THFTYPE_IiioI @ B @ A )
      | ( before_THFTYPE_IiioI @ B @ ( lEndFn_THFTYPE_IiiI @ A ) ) ),
    inference(simp,[status(thm)],[157]) ).

thf(96,axiom,
    instance_THFTYPE_IIIiioIiioIioI @ domain_THFTYPE_IIiioIiioI @ lTernaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_155) ).

thf(290,plain,
    instance_THFTYPE_IIIiioIiioIioI @ domain_THFTYPE_IIiioIiioI @ lTernaryPredicate_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).

thf(80,axiom,
    instance_THFTYPE_IIiioIioI @ disjointRelation_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_290) ).

thf(272,plain,
    instance_THFTYPE_IIiioIioI @ disjointRelation_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).

thf(139,axiom,
    domain_THFTYPE_IIiioIiioI @ husband_THFTYPE_IiioI @ n1_THFTYPE_i @ lMan_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_256) ).

thf(346,plain,
    domain_THFTYPE_IIiioIiioI @ husband_THFTYPE_IiioI @ n1_THFTYPE_i @ lMan_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[139]) ).

thf(53,axiom,
    instance_THFTYPE_IIiioIioI @ greaterThanOrEqualTo_THFTYPE_IiioI @ lPartialOrderingRelation_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_243) ).

thf(235,plain,
    instance_THFTYPE_IIiioIioI @ greaterThanOrEqualTo_THFTYPE_IiioI @ lPartialOrderingRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).

thf(60,axiom,
    subclass_THFTYPE_IiioI @ lWoman_THFTYPE_i @ lHuman_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_090) ).

thf(246,plain,
    subclass_THFTYPE_IiioI @ lWoman_THFTYPE_i @ lHuman_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).

thf(214,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( rangeSubclass_THFTYPE_IiioI @ D @ B )
      | ~ ( rangeSubclass_THFTYPE_IiioI @ A @ C )
      | ~ ( disjoint_THFTYPE_IiioI @ B @ C )
      | ( disjointRelation_THFTYPE_IiioI @ D @ A ) ),
    inference(cnf,[status(esa)],[213]) ).

thf(93,axiom,
    instance_THFTYPE_IIiioIioI @ parent_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_201) ).

thf(287,plain,
    instance_THFTYPE_IIiioIioI @ parent_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).

thf(117,axiom,
    subrelation_THFTYPE_IIiioIioI @ wife_THFTYPE_IiioI @ spouse_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_291) ).

thf(315,plain,
    subrelation_THFTYPE_IIiioIioI @ wife_THFTYPE_IiioI @ spouse_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[117]) ).

thf(12658,plain,
    ( ( instance_THFTYPE_IIiioIioI @ temporalPart_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i )
    | ( temporalPart_THFTYPE_IiioI @ ( sk41 @ temporalPart_THFTYPE_IiioI ) @ ( sk41 @ temporalPart_THFTYPE_IiioI ) ) ),
    inference(prim_subst,[status(thm)],[12386:[bind(A,$thf( temporalPart_THFTYPE_IiioI ))]]) ).

thf(81,axiom,
    instance_THFTYPE_IIiioIioI @ wife_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_278) ).

thf(273,plain,
    instance_THFTYPE_IIiioIioI @ wife_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).

thf(12148,plain,
    ! [A: $i > $i > $o] :
      ( ! [B: $i] :
          ~ ( A @ B @ B )
      | ( ( instance_THFTYPE_IIiioIioI @ A @ lIrreflexiveRelation_THFTYPE_i )
       != ( instance_THFTYPE_IIiioIioI @ lessThan_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i ) ) ),
    inference(paramod_ordered,[status(thm)],[313,260]) ).

thf(12149,plain,
    ! [A: $i] :
      ~ ( lessThan_THFTYPE_IiioI @ A @ A ),
    inference(pattern_uni,[status(thm)],[12148:[bind(A,$thf( lessThan_THFTYPE_IiioI ))]]) ).

thf(12391,plain,
    ! [A: $i] :
      ~ ( lessThan_THFTYPE_IiioI @ A @ A ),
    inference(cnf,[status(esa)],[12149]) ).

thf(106,axiom,
    domain_THFTYPE_IIIiioIIiioIoIiioI @ inverse_THFTYPE_IIiioIIiioIoI @ n1_THFTYPE_i @ lBinaryRelation_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_135) ).

thf(300,plain,
    domain_THFTYPE_IIIiioIIiioIoIiioI @ inverse_THFTYPE_IIiioIIiioIoI @ n1_THFTYPE_i @ lBinaryRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[106]) ).

thf(167,plain,
    ! [B: $i,A: $i] :
      ( ( ( lBeginFn_THFTYPE_IiiI @ A )
       != ( lBeginFn_THFTYPE_IiiI @ B ) )
      | ( ( lEndFn_THFTYPE_IiiI @ A )
       != ( lEndFn_THFTYPE_IiiI @ B ) )
      | ( A = B ) ),
    inference(cnf,[status(esa)],[166]) ).

thf(168,plain,
    ! [B: $i,A: $i] :
      ( ( ( lBeginFn_THFTYPE_IiiI @ A )
       != ( lBeginFn_THFTYPE_IiiI @ B ) )
      | ( ( lEndFn_THFTYPE_IiiI @ A )
       != ( lEndFn_THFTYPE_IiiI @ B ) )
      | ( A = B ) ),
    inference(lifteq,[status(thm)],[167]) ).

thf(70,axiom,
    instance_THFTYPE_IIiioIioI @ inList_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_157) ).

thf(262,plain,
    instance_THFTYPE_IIiioIioI @ inList_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).

thf(100,axiom,
    instance_THFTYPE_IIiiIioI @ lWhenFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_295) ).

thf(294,plain,
    instance_THFTYPE_IIiiIioI @ lWhenFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).

thf(135,axiom,
    instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_151) ).

thf(341,plain,
    instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lBinaryPredicate_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[135]) ).

thf(76,axiom,
    instance_THFTYPE_IIiioIioI @ duration_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_139) ).

thf(268,plain,
    instance_THFTYPE_IIiioIioI @ duration_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).

thf(89,axiom,
    instance_THFTYPE_IIIiioIIiioIoIioI @ inverse_THFTYPE_IIiioIIiioIoI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_235) ).

thf(283,plain,
    instance_THFTYPE_IIIiioIIiioIoIioI @ inverse_THFTYPE_IIiioIIiioIoI @ lBinaryPredicate_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).

thf(126,axiom,
    instance_THFTYPE_IIiioIioI @ instance_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_237) ).

thf(326,plain,
    instance_THFTYPE_IIiioIioI @ instance_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[126]) ).

thf(242,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( range_THFTYPE_IiioI @ D @ B )
      | ~ ( range_THFTYPE_IiioI @ A @ C )
      | ~ ( disjoint_THFTYPE_IiioI @ B @ C )
      | ( disjointRelation_THFTYPE_IiioI @ D @ A ) ),
    inference(cnf,[status(esa)],[241]) ).

thf(12181,plain,
    ! [A: $i > $i > $o] :
      ( ! [B: $i] :
          ~ ( A @ B @ B )
      | ( ( instance_THFTYPE_IIiioIioI @ A @ lIrreflexiveRelation_THFTYPE_i )
       != ( instance_THFTYPE_IIiioIioI @ greaterThan_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i ) ) ),
    inference(paramod_ordered,[status(thm)],[313,303]) ).

thf(12182,plain,
    ! [A: $i] :
      ~ ( greaterThan_THFTYPE_IiioI @ A @ A ),
    inference(pattern_uni,[status(thm)],[12181:[bind(A,$thf( greaterThan_THFTYPE_IiioI ))]]) ).

thf(12395,plain,
    ! [A: $i] :
      ~ ( greaterThan_THFTYPE_IiioI @ A @ A ),
    inference(cnf,[status(esa)],[12182]) ).

thf(132,axiom,
    ! [A: $o,B: $i,C: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ C @ A )
        & ( temporalPart_THFTYPE_IiioI @ B @ C ) )
     => ( holdsDuring_THFTYPE_IiooI @ B @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_024) ).

thf(332,plain,
    ! [A: $o,B: $i,C: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ C @ A )
        & ( temporalPart_THFTYPE_IiioI @ B @ C ) )
     => ( holdsDuring_THFTYPE_IiooI @ B @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[132]) ).

thf(85,axiom,
    instance_THFTYPE_IIiioIioI @ temporalPart_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_160) ).

thf(277,plain,
    instance_THFTYPE_IIiioIioI @ temporalPart_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).

thf(11,axiom,
    domain_THFTYPE_IIiioIiioI @ instance_THFTYPE_IiioI @ n1_THFTYPE_i @ lEntity_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_150) ).

thf(163,plain,
    domain_THFTYPE_IIiioIiioI @ instance_THFTYPE_IiioI @ n1_THFTYPE_i @ lEntity_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(124,axiom,
    instance_THFTYPE_IIiioIioI @ relatedInternalConcept_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_119) ).

thf(322,plain,
    instance_THFTYPE_IIiioIioI @ relatedInternalConcept_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[124]) ).

thf(146,axiom,
    instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lAsymmetricRelation_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_188) ).

thf(354,plain,
    instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lAsymmetricRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[146]) ).

thf(113,axiom,
    domain_THFTYPE_IIiioIiioI @ wife_THFTYPE_IiioI @ n2_THFTYPE_i @ lMan_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_238) ).

thf(309,plain,
    domain_THFTYPE_IIiioIiioI @ wife_THFTYPE_IiioI @ n2_THFTYPE_i @ lMan_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[113]) ).

thf(40,axiom,
    relatedInternalConcept_THFTYPE_IIiioIIiioIoI @ disjointRelation_THFTYPE_IiioI @ disjoint_THFTYPE_IiioI,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_142) ).

thf(215,plain,
    relatedInternalConcept_THFTYPE_IIiioIIiioIoI @ disjointRelation_THFTYPE_IiioI @ disjoint_THFTYPE_IiioI,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).

thf(46,axiom,
    ! [A: $i,B: $i] :
      ( ( A = B )
     => ! [C: $i] :
          ( ( instance_THFTYPE_IiioI @ C @ A )
          = ( instance_THFTYPE_IiioI @ C @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_033) ).

thf(222,plain,
    ! [A: $i,B: $i] :
      ( ( A = B )
     => ! [C: $i] :
          ( ( instance_THFTYPE_IiioI @ C @ A )
          = ( instance_THFTYPE_IiioI @ C @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).

thf(51,axiom,
    subclass_THFTYPE_IiioI @ lUnaryFunction_THFTYPE_i @ lBinaryRelation_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_019) ).

thf(232,plain,
    subclass_THFTYPE_IiioI @ lUnaryFunction_THFTYPE_i @ lBinaryRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).

thf(63,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( rangeSubclass_THFTYPE_IiioI @ B @ A )
        & ( rangeSubclass_THFTYPE_IiioI @ B @ C ) )
     => ( ( subclass_THFTYPE_IiioI @ A @ C )
        | ( subclass_THFTYPE_IiioI @ C @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_055) ).

thf(254,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( rangeSubclass_THFTYPE_IiioI @ B @ A )
        & ( rangeSubclass_THFTYPE_IiioI @ B @ C ) )
     => ( ( subclass_THFTYPE_IiioI @ A @ C )
        | ( subclass_THFTYPE_IiioI @ C @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).

thf(48,axiom,
    instance_THFTYPE_IIiioIioI @ subclass_THFTYPE_IiioI @ lPartialOrderingRelation_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_144) ).

thf(227,plain,
    instance_THFTYPE_IIiioIioI @ subclass_THFTYPE_IiioI @ lPartialOrderingRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).

thf(21406,plain,
    $false,
    inference(e,[status(thm)],[12055,347,249,234,352,170,308,247,269,202,217,276,384,13982,340,153,9233,12403,14014,174,185,288,301,320,257,184,14260,344,196,189,284,152,228,289,316,261,216,164,12051,11926,321,376,238,348,353,14697,179,211,253,147,221,293,243,265,206,12653,634,307,292,233,270,201,220,13126,302,392,297,275,165,260,349,12635,192,630,229,197,329,285,12645,188,356,169,12397,317,339,193,7604,212,328,256,173,13804,14657,244,266,311,586,343,237,13201,166,264,161,279,149,375,12389,298,180,296,15715,176,191,14760,286,281,259,12386,291,313,12401,466,236,181,11841,350,159,187,172,219,274,230,245,318,303,13204,271,208,631,345,323,213,240,11630,155,330,12655,278,226,267,241,299,12644,162,209,342,194,282,12056,327,13435,5602,295,263,310,12937,199,331,177,182,12647,12399,154,175,314,14118,6793,450,218,13632,368,250,231,304,258,186,11867,632,171,12387,13114,319,158,351,290,272,383,346,235,246,214,287,151,315,12658,190,183,273,12391,300,168,262,294,341,268,195,283,14659,326,239,242,12395,332,178,277,11616,163,200,322,354,4767,309,215,222,232,254,227]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR143^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.08  % Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.11/0.22  % Computer : n004.cluster.edu
% 0.11/0.22  % Model    : x86_64 x86_64
% 0.11/0.22  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.22  % Memory   : 8046.5625MB
% 0.11/0.22  % OS       : Linux 6.8.0-71-generic
% 0.11/0.22  % CPULimit : 300
% 0.11/0.23  % WCLimit  : 300
% 0.11/0.23  % DateTime : Tue Sep 29 17:56:37 UTC 2026
% 0.11/0.23  % CPUTime  : 
% 0.11/0.23  Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.89/0.80  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 2.13/1.15  % [INFO] 	 Parsing done (347ms). 
% 2.13/1.16  % [INFO] 	 Running in sequential loop mode. 
% 3.27/1.55  % [INFO] 	 eprover registered as external prover. 
% 3.27/1.56  % [INFO] 	 Scanning for conjecture ... 
% 3.76/1.71  % [INFO] 	 Found a conjecture (or negated_conjecture) and 297 axioms. Running axiom selection ... 
% 3.96/1.86  % [INFO] 	 Axiom selection finished. Selected 144 axioms (removed 153 axioms). 
% 4.39/1.97  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 4.39/1.98  % [INFO] 	 Type checking passed. 
% 4.39/1.99  % [CONFIG] 	 Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>.  Searching for refutation ... 
% 100.98/21.12  % External prover 'e' found a proof!
% 100.98/21.12  % [INFO] 	 Killing All external provers ... 
% 100.98/21.12  % Time passed: 20756ms (effective reasoning time: 19955ms)
% 100.98/21.12  % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 100.98/21.13  % Axioms used in derivation (144): ax_111, ax_141, ax_249, ax_096, ax_201, ax_266, ax_126, ax_233, ax_238, ax_262, ax_255, ax_048, ax_115, ax_037, ax_291, ax_085, ax_148, ax_279, ax_212, ax_047, ax_025, ax_014, ax_199, ax_028, ax_055, ax_278, ax_033, ax_164, ax_100, ax_040, ax_166, ax_155, ax_090, ax_153, ax_142, ax_069, ax_135, ax_252, ax_001, ax_259, ax_081, ax_121, ax_157, ax_276, ax_132, ax_077, ax_124, ax_088, ax_237, ax_118, ax_168, ax_113, ax_287, ax_061, ax_269, ax_147, ax_073, ax_182, ax_038, ax_163, ax_160, ax_260, ax_091, ax_290, ax_146, ax_002, ax_070, ax_095, ax_125, ax_286, ax_110, ax_024, ax_060, ax_112, ax_246, ax_264, ax_154, ax_253, ax_005, ax_235, ax_076, ax_021, ax_250, ax_139, ax_067, ax_176, ax_242, ax_010, ax_103, ax_087, ax_079, ax_034, ax_198, ax_220, ax_151, ax_232, ax_184, ax_094, ax_243, ax_107, ax_042, ax_145, ax_204, ax_064, ax_019, ax_285, ax_169, ax_208, ax_254, ax, ax_158, ax_041, ax_183, ax_159, ax_075, ax_030, ax_256, ax_138, ax_116, ax_052, ax_036, ax_011, ax_177, ax_188, ax_150, ax_109, ax_008, ax_231, ax_209, ax_015, ax_119, ax_101, ax_144, ax_082, ax_133, ax_295, ax_224, ax_004, ax_130, ax_026, ax_093, ax_018, ax_035, ax_202
% 100.98/21.13  % No. of inferences in proof: 528
% 100.98/21.13  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 20756 ms resp. 19955 ms w/o parsing
% 101.74/21.29  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 102.31/21.30  % [INFO] 	 Killing All external provers ... 
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