TSTP Solution File: CSR148^2 by Leo-III---1.7.10

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III---1.7.10
% Problem  : CSR148^2 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n023.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May  7 07:39:00 EDT 2024

% Result   : Theorem 4.52s 2.09s
% Output   : Refutation 4.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   78
% Syntax   : Number of formulae    :  123 (  43 unt;  35 typ;   0 def)
%            Number of atoms       :  157 (  20 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  289 (   6   ~;   0   |;   8   &; 255   @)
%                                         (   0 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :   57 (  57   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   36 (  34 usr;  15 con; 0-3 aty)
%            Number of variables   :   56 (   0   ^  48   !;   8   ?;  56   :)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(n1_THFTYPE_i_type,type,
    n1_THFTYPE_i: $i ).

thf(n2009_THFTYPE_i_type,type,
    n2009_THFTYPE_i: $i ).

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

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

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

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

thf(30,axiom,
    instance_THFTYPE_IIiiIioI @ lWhenFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_190) ).

thf(88,plain,
    instance_THFTYPE_IIiiIioI @ lWhenFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).

thf(28,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/sandbox2/benchmark/theBenchmark.p',ax_040) ).

thf(84,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)],[28]) ).

thf(34,axiom,
    instance_THFTYPE_IIiiIioI @ lYearFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_158) ).

thf(92,plain,
    instance_THFTYPE_IIiiIioI @ lYearFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).

thf(7,axiom,
    instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_068) ).

thf(53,plain,
    instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(17,axiom,
    instance_THFTYPE_IIiiIioI @ lBeginFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_140) ).

thf(73,plain,
    instance_THFTYPE_IIiiIioI @ lBeginFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(1,conjecture,
    ? [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ B ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

thf(2,negated_conjecture,
    ~ ? [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ B ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(45,plain,
    ~ ? [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ B ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(11,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/sandbox2/benchmark/theBenchmark.p',ax_047) ).

thf(59,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)],[11]) ).

thf(8,axiom,
    domain_THFTYPE_IIiioIiioI @ instance_THFTYPE_IiioI @ n1_THFTYPE_i @ lEntity_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_116) ).

thf(54,plain,
    domain_THFTYPE_IIiioIiioI @ instance_THFTYPE_IiioI @ n1_THFTYPE_i @ lEntity_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(24,axiom,
    domain_THFTYPE_IIiiIiioI @ lBeginFn_THFTYPE_IiiI @ n1_THFTYPE_i @ lTimeInterval_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_111) ).

thf(80,plain,
    domain_THFTYPE_IIiiIiioI @ lBeginFn_THFTYPE_IiiI @ n1_THFTYPE_i @ lTimeInterval_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(43,axiom,
    ! [A: $i,B: $o] :
      ( ( holdsDuring_THFTYPE_IiooI @ A @ ~ B )
     => ~ ( holdsDuring_THFTYPE_IiooI @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_024) ).

thf(112,plain,
    ! [A: $i,B: $o] :
      ( ( holdsDuring_THFTYPE_IiooI @ A @ ~ B )
     => ~ ( holdsDuring_THFTYPE_IiooI @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).

thf(16,axiom,
    domain_THFTYPE_IIiioIiioI @ meetsTemporally_THFTYPE_IiioI @ n1_THFTYPE_i @ lTimeInterval_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_073) ).

thf(72,plain,
    domain_THFTYPE_IIiioIiioI @ meetsTemporally_THFTYPE_IiioI @ n1_THFTYPE_i @ lTimeInterval_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(29,axiom,
    instance_THFTYPE_IIiiIioI @ lCardinalityFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_093) ).

thf(87,plain,
    instance_THFTYPE_IIiiIioI @ lCardinalityFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(5,axiom,
    instance_THFTYPE_IIiioIioI @ instance_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_113) ).

thf(51,plain,
    instance_THFTYPE_IIiioIioI @ instance_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(6,axiom,
    instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_144) ).

thf(52,plain,
    instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(41,axiom,
    domain_THFTYPE_IIiiIiioI @ lYearFn_THFTYPE_IiiI @ n1_THFTYPE_i @ lInteger_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_122) ).

thf(110,plain,
    domain_THFTYPE_IIiiIiioI @ lYearFn_THFTYPE_IiiI @ n1_THFTYPE_i @ lInteger_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).

thf(35,axiom,
    instance_THFTYPE_IIiiIioI @ lYearFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_087) ).

thf(93,plain,
    instance_THFTYPE_IIiiIioI @ lYearFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).

thf(10,axiom,
    ? [A: $i] : ( instance_THFTYPE_IiioI @ A @ lEntity_THFTYPE_i ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_030) ).

thf(57,plain,
    ? [A: $i] : ( instance_THFTYPE_IiioI @ A @ lEntity_THFTYPE_i ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(22,axiom,
    instance_THFTYPE_IIiioIioI @ temporalPart_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_133) ).

thf(78,plain,
    instance_THFTYPE_IIiioIioI @ temporalPart_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(31,axiom,
    domain_THFTYPE_IIiiIiioI @ lEndFn_THFTYPE_IiiI @ n1_THFTYPE_i @ lTimeInterval_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_181) ).

thf(89,plain,
    domain_THFTYPE_IIiiIiioI @ lEndFn_THFTYPE_IiiI @ n1_THFTYPE_i @ lTimeInterval_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).

thf(18,axiom,
    instance_THFTYPE_IIiiIioI @ lBeginFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_110) ).

thf(74,plain,
    instance_THFTYPE_IIiiIioI @ lBeginFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(40,axiom,
    relatedInternalConcept_THFTYPE_IiIiiIoI @ lYear_THFTYPE_i @ lYearFn_THFTYPE_IiiI,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_129) ).

thf(109,plain,
    relatedInternalConcept_THFTYPE_IiIiiIoI @ lYear_THFTYPE_i @ lYearFn_THFTYPE_IiiI,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).

thf(21,axiom,
    instance_THFTYPE_IIiioIioI @ temporalPart_THFTYPE_IiioI @ lTemporalRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_119) ).

thf(77,plain,
    instance_THFTYPE_IIiioIioI @ temporalPart_THFTYPE_IiioI @ lTemporalRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(38,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/sandbox2/benchmark/theBenchmark.p',ax_028) ).

thf(96,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)],[38]) ).

thf(25,axiom,
    rangeSubclass_THFTYPE_IiioI @ lYearFn_THFTYPE_i @ lYear_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_058) ).

thf(81,plain,
    rangeSubclass_THFTYPE_IiioI @ lYearFn_THFTYPE_i @ lYear_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(20,axiom,
    domain_THFTYPE_IIIiioIIiioIoIiioI @ relatedInternalConcept_THFTYPE_IIiioIIiioIoI @ n1_THFTYPE_i @ lEntity_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_152) ).

thf(76,plain,
    domain_THFTYPE_IIIiioIIiioIoIiioI @ relatedInternalConcept_THFTYPE_IIiioIIiioIoI @ n1_THFTYPE_i @ lEntity_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(39,axiom,
    ! [A: $o,B: $i] :
      ( A
     => ( holdsDuring_THFTYPE_IiooI @ B @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_007) ).

thf(103,plain,
    ! [A: $o,B: $i] :
      ( A
     => ( holdsDuring_THFTYPE_IiooI @ B @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).

thf(33,axiom,
    ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
    @ ! [A: $i] :
        ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A )
       => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_005) ).

thf(91,plain,
    ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
    @ ! [A: $i] :
        ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A )
       => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).

thf(13,axiom,
    ! [A: $i,B: $i] :
      ( ( B = A )
     => ! [C: $i] :
          ( ( instance_THFTYPE_IiioI @ B @ C )
          = ( instance_THFTYPE_IiioI @ A @ C ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_042) ).

thf(63,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)],[13]) ).

thf(37,axiom,
    instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_117) ).

thf(95,plain,
    instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lBinaryPredicate_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).

thf(4,axiom,
    instance_THFTYPE_IIiioIioI @ rangeSubclass_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_128) ).

thf(50,plain,
    instance_THFTYPE_IIiioIioI @ rangeSubclass_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(14,axiom,
    instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lTemporalRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_062) ).

thf(67,plain,
    instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lTemporalRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(9,axiom,
    ! [A: $i] : ( instance_THFTYPE_IiioI @ A @ lEntity_THFTYPE_i ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_006) ).

thf(55,plain,
    ! [A: $i] : ( instance_THFTYPE_IiioI @ A @ lEntity_THFTYPE_i ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(44,axiom,
    ! [A: $o,B: $i] :
      ( A
     => ( holdsDuring_THFTYPE_IiooI @ B @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_008) ).

thf(114,plain,
    ! [A: $o,B: $i] :
      ( A
     => ( holdsDuring_THFTYPE_IiooI @ B @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).

thf(19,axiom,
    instance_THFTYPE_IIiiIioI @ lWhenFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_089) ).

thf(75,plain,
    instance_THFTYPE_IIiiIioI @ lWhenFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(26,axiom,
    instance_THFTYPE_IIiiIioI @ lCardinalityFn_THFTYPE_IiiI @ lAsymmetricRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_131) ).

thf(82,plain,
    instance_THFTYPE_IIiiIioI @ lCardinalityFn_THFTYPE_IiiI @ lAsymmetricRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(23,axiom,
    instance_THFTYPE_IIiiIioI @ lEndFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_150) ).

thf(79,plain,
    instance_THFTYPE_IIiiIioI @ lEndFn_THFTYPE_IiiI @ lTemporalRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(36,axiom,
    ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
    @ ! [A: $i] :
        ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A )
       => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_004) ).

thf(94,plain,
    ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
    @ ! [A: $i] :
        ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A )
       => ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).

thf(3,axiom,
    ! [A: $i,B: $i] :
      ( ( meetsTemporally_THFTYPE_IiioI @ A @ B )
      = ( ( lEndFn_THFTYPE_IiiI @ A )
        = ( lBeginFn_THFTYPE_IiiI @ B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_027) ).

thf(47,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(15,axiom,
    ! [A: $i,B: $i] :
      ( ( A = B )
     => ! [C: $i] :
          ( ( instance_THFTYPE_IiioI @ C @ A )
          = ( instance_THFTYPE_IiioI @ C @ B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_038) ).

thf(68,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)],[15]) ).

thf(12,axiom,
    instance_THFTYPE_IIiioIioI @ rangeSubclass_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_191) ).

thf(62,plain,
    instance_THFTYPE_IIiioIioI @ rangeSubclass_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(27,axiom,
    instance_THFTYPE_IIiiIioI @ lEndFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_148) ).

thf(83,plain,
    instance_THFTYPE_IIiiIioI @ lEndFn_THFTYPE_IiiI @ lUnaryFunction_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(32,axiom,
    instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lAsymmetricRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_176) ).

thf(90,plain,
    instance_THFTYPE_IIiooIioI @ holdsDuring_THFTYPE_IiooI @ lAsymmetricRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).

thf(42,axiom,
    likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_025) ).

thf(111,plain,
    likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).

thf(120,plain,
    $false,
    inference(e,[status(thm)],[88,84,92,53,73,45,59,54,80,112,72,87,51,52,110,93,57,78,89,74,109,77,96,81,76,103,91,63,95,50,67,55,114,75,82,79,94,47,68,62,83,90,111]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : CSR148^2 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.15  % Command  : run_Leo-III %s %d
% 0.16/0.36  % Computer : n023.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit : 300
% 0.16/0.36  % WCLimit  : 300
% 0.16/0.36  % DateTime : Mon May  6 15:37:54 EDT 2024
% 0.16/0.36  % CPUTime  : 
% 0.97/0.86  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.62/1.07  % [INFO] 	 Parsing done (205ms). 
% 1.62/1.08  % [INFO] 	 Running in sequential loop mode. 
% 1.95/1.30  % [INFO] 	 eprover registered as external prover. 
% 1.95/1.30  % [INFO] 	 cvc4 registered as external prover. 
% 1.95/1.30  % [INFO] 	 Scanning for conjecture ... 
% 2.19/1.39  % [INFO] 	 Found a conjecture and 192 axioms. Running axiom selection ... 
% 2.51/1.46  % [INFO] 	 Axiom selection finished. Selected 42 axioms (removed 150 axioms). 
% 2.51/1.48  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 2.51/1.48  % [INFO] 	 Type checking passed. 
% 2.51/1.49  % [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 ... 
% 4.52/2.09  % External prover 'e' found a proof!
% 4.52/2.09  % [INFO] 	 Killing All external provers ... 
% 4.52/2.09  % Time passed: 1565ms (effective reasoning time: 1009ms)
% 4.52/2.09  % 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)>
% 4.52/2.09  % Axioms used in derivation (42): ax_129, ax_058, ax_006, ax_113, ax_038, ax_128, ax_087, ax_042, ax_116, ax_093, ax_007, ax_062, ax_148, ax_047, ax_025, ax_028, ax_131, ax_040, ax_152, ax_089, ax_073, ax_110, ax_024, ax_027, ax_117, ax_005, ax_176, ax_181, ax_140, ax_191, ax_158, ax_111, ax_190, ax_122, ax_030, ax_150, ax_008, ax_068, ax_119, ax_144, ax_133, ax_004
% 4.52/2.09  % No. of inferences in proof: 88
% 4.52/2.09  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1565 ms resp. 1009 ms w/o parsing
% 4.86/2.13  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.86/2.13  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------