TSTP Solution File: CSR142^2 by Leo-III---1.7.10

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III---1.7.10
% Problem  : CSR142^2 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n027.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 07:38:58 EDT 2024

% Result   : Theorem 5.02s 2.14s
% Output   : Refutation 5.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :  112
% Syntax   : Number of formulae    :  179 (  40 unt;  47 typ;   0 def)
%            Number of atoms       :  248 (  14 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  420 (   4   ~;   4   |;   8   &; 384   @)
%                                         (   0 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :   93 (  93   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   48 (  46 usr;  24 con; 0-3 aty)
%            Number of variables   :   63 (   0   ^  58   !;   5   ?;  63   :)

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

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

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

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

thf(connected_THFTYPE_i_type,type,
    connected_THFTYPE_i: $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(lObject_THFTYPE_i_type,type,
    lObject_THFTYPE_i: $i ).

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

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

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

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

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

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

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

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

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

thf(n2_THFTYPE_i_type,type,
    n2_THFTYPE_i: $i ).

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

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

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

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

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

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

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

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

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

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

thf(37,axiom,
    instance_THFTYPE_IIIiioIiioIioI @ domain_THFTYPE_IIiioIiioI @ lTernaryPredicate_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_163) ).

thf(120,plain,
    instance_THFTYPE_IIIiioIiioIioI @ domain_THFTYPE_IIiioIiioI @ lTernaryPredicate_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).

thf(57,axiom,
    domain_THFTYPE_IIiioIiioI @ subProcess_THFTYPE_IiioI @ n1_THFTYPE_i @ lProcess_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_092) ).

thf(142,plain,
    domain_THFTYPE_IIiioIiioI @ subProcess_THFTYPE_IiioI @ n1_THFTYPE_i @ lProcess_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).

thf(40,axiom,
    partition_THFTYPE_IiiioI @ lHuman_THFTYPE_i @ lMan_THFTYPE_i @ lWoman_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_055) ).

thf(125,plain,
    partition_THFTYPE_IiiioI @ lHuman_THFTYPE_i @ lMan_THFTYPE_i @ lWoman_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).

thf(9,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/sandbox2/benchmark/theBenchmark.p',ax_057) ).

thf(78,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)],[9]) ).

thf(18,axiom,
    ! [A: $i] :
      ( ( instance_THFTYPE_IiioI @ A @ lWoman_THFTYPE_i )
     => ( attribute_THFTYPE_IiioI @ A @ lFemale_THFTYPE_i ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_004) ).

thf(92,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)],[18]) ).

thf(56,axiom,
    instance_THFTYPE_IIiioIioI @ inList_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_191) ).

thf(141,plain,
    instance_THFTYPE_IIiioIioI @ inList_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).

thf(44,axiom,
    instance_THFTYPE_IIiioIioI @ parent_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_118) ).

thf(129,plain,
    instance_THFTYPE_IIiioIioI @ parent_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).

thf(35,axiom,
    instance_THFTYPE_IIiioIioI @ before_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_209) ).

thf(118,plain,
    instance_THFTYPE_IIiioIioI @ before_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).

thf(65,axiom,
    instance_THFTYPE_IIiioIioI @ husband_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_165) ).

thf(150,plain,
    instance_THFTYPE_IIiioIioI @ husband_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).

thf(54,axiom,
    domain_THFTYPE_IIiioIiioI @ part_THFTYPE_IiioI @ n1_THFTYPE_i @ lObject_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_144) ).

thf(139,plain,
    domain_THFTYPE_IIiioIiioI @ part_THFTYPE_IiioI @ n1_THFTYPE_i @ lObject_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).

thf(46,axiom,
    instance_THFTYPE_IIiioIioI @ wife_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_201) ).

thf(131,plain,
    instance_THFTYPE_IIiioIioI @ wife_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).

thf(3,axiom,
    domain_THFTYPE_IiiioI @ patient_THFTYPE_i @ n2_THFTYPE_i @ lEntity_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_124) ).

thf(69,plain,
    domain_THFTYPE_IiiioI @ patient_THFTYPE_i @ n2_THFTYPE_i @ lEntity_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(53,axiom,
    instance_THFTYPE_IIiioIioI @ greaterThan_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_133) ).

thf(138,plain,
    instance_THFTYPE_IIiioIioI @ greaterThan_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).

thf(23,axiom,
    domain_THFTYPE_IIiioIiioI @ meetsTemporally_THFTYPE_IiioI @ n2_THFTYPE_i @ lTimeInterval_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_208) ).

thf(101,plain,
    domain_THFTYPE_IIiioIiioI @ meetsTemporally_THFTYPE_IiioI @ n2_THFTYPE_i @ lTimeInterval_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(14,axiom,
    subclass_THFTYPE_IiioI @ lMan_THFTYPE_i @ lHuman_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_040) ).

thf(88,plain,
    subclass_THFTYPE_IiioI @ lMan_THFTYPE_i @ lHuman_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(27,axiom,
    domain_THFTYPE_IiiioI @ agent_THFTYPE_i @ n1_THFTYPE_i @ lProcess_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_104) ).

thf(106,plain,
    domain_THFTYPE_IiiioI @ agent_THFTYPE_i @ n1_THFTYPE_i @ lProcess_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(38,axiom,
    domain_THFTYPE_IiiioI @ spouse_THFTYPE_i @ n2_THFTYPE_i @ lHuman_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_214) ).

thf(121,plain,
    domain_THFTYPE_IiiioI @ spouse_THFTYPE_i @ n2_THFTYPE_i @ lHuman_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).

thf(11,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/sandbox2/benchmark/theBenchmark.p',ax_003) ).

thf(84,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)],[11]) ).

thf(62,axiom,
    wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_052) ).

thf(147,plain,
    wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).

thf(47,axiom,
    instance_THFTYPE_IIIiioIIiioIoIioI @ inverse_THFTYPE_IIiioIIiioIoI @ lIrreflexiveRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_173) ).

thf(132,plain,
    instance_THFTYPE_IIIiioIIiioIoIioI @ inverse_THFTYPE_IIiioIIiioIoI @ lIrreflexiveRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).

thf(33,axiom,
    instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_091) ).

thf(116,plain,
    instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).

thf(6,axiom,
    domain_THFTYPE_IIiioIiioI @ instance_THFTYPE_IiioI @ n1_THFTYPE_i @ lEntity_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_153) ).

thf(74,plain,
    domain_THFTYPE_IIiioIiioI @ instance_THFTYPE_IiioI @ n1_THFTYPE_i @ lEntity_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(15,axiom,
    domain_THFTYPE_IiiioI @ connected_THFTYPE_i @ n2_THFTYPE_i @ lObject_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_134) ).

thf(89,plain,
    domain_THFTYPE_IiiioI @ connected_THFTYPE_i @ n2_THFTYPE_i @ lObject_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(48,axiom,
    domain_THFTYPE_IIiioIiioI @ wife_THFTYPE_IiioI @ n1_THFTYPE_i @ lWoman_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_129) ).

thf(133,plain,
    domain_THFTYPE_IIiioIiioI @ wife_THFTYPE_IiioI @ n1_THFTYPE_i @ lWoman_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).

thf(34,axiom,
    domain_THFTYPE_IIIiioIIiioIoIiioI @ inverse_THFTYPE_IIiioIIiioIoI @ n2_THFTYPE_i @ lBinaryRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_139) ).

thf(117,plain,
    domain_THFTYPE_IIIiioIIiioIoIiioI @ inverse_THFTYPE_IIiioIIiioIoI @ n2_THFTYPE_i @ lBinaryRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).

thf(24,axiom,
    subclass_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i @ lBinaryRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_059) ).

thf(102,plain,
    subclass_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i @ lBinaryRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(4,axiom,
    ! [A: $i] : ( instance_THFTYPE_IiioI @ A @ lEntity_THFTYPE_i ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_007) ).

thf(70,plain,
    ! [A: $i] : ( instance_THFTYPE_IiioI @ A @ lEntity_THFTYPE_i ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(52,axiom,
    subrelation_THFTYPE_IIiioIioI @ wife_THFTYPE_IiioI @ spouse_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_219) ).

thf(137,plain,
    subrelation_THFTYPE_IIiioIioI @ wife_THFTYPE_IiioI @ spouse_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).

thf(30,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/sandbox2/benchmark/theBenchmark.p',ax_001) ).

thf(109,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)],[30]) ).

thf(8,axiom,
    domain_THFTYPE_IIiioIiioI @ before_THFTYPE_IiioI @ n1_THFTYPE_i @ lTimePoint_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_185) ).

thf(77,plain,
    domain_THFTYPE_IIiioIiioI @ before_THFTYPE_IiioI @ n1_THFTYPE_i @ lTimePoint_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(49,axiom,
    instance_THFTYPE_IIiioIioI @ attribute_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_113) ).

thf(134,plain,
    instance_THFTYPE_IIiioIioI @ attribute_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).

thf(43,axiom,
    instance_THFTYPE_IIiioIioI @ inList_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_128) ).

thf(128,plain,
    instance_THFTYPE_IIiioIioI @ inList_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).

thf(63,axiom,
    subrelation_THFTYPE_IIiioIioI @ husband_THFTYPE_IiioI @ spouse_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_099) ).

thf(148,plain,
    subrelation_THFTYPE_IIiioIioI @ husband_THFTYPE_IiioI @ spouse_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).

thf(64,axiom,
    instance_THFTYPE_IIiioIioI @ husband_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_142) ).

thf(149,plain,
    instance_THFTYPE_IIiioIioI @ husband_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).

thf(59,axiom,
    domain_THFTYPE_IIiioIiioI @ husband_THFTYPE_IiioI @ n2_THFTYPE_i @ lWoman_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_101) ).

thf(144,plain,
    domain_THFTYPE_IIiioIiioI @ husband_THFTYPE_IiioI @ n2_THFTYPE_i @ lWoman_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).

thf(12,axiom,
    domain_THFTYPE_IiiioI @ connected_THFTYPE_i @ n1_THFTYPE_i @ lObject_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_220) ).

thf(86,plain,
    domain_THFTYPE_IiiioI @ connected_THFTYPE_i @ n1_THFTYPE_i @ lObject_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(32,axiom,
    ! [A: $i > $i > $o] :
      ( ( instance_THFTYPE_IIiioIioI @ A @ lIrreflexiveRelation_THFTYPE_i )
      = ( ! [B: $i] :
            ~ ( A @ B @ B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_043) ).

thf(113,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)],[32]) ).

thf(20,axiom,
    domain_THFTYPE_IiiioI @ patient_THFTYPE_i @ n1_THFTYPE_i @ lProcess_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_116) ).

thf(98,plain,
    domain_THFTYPE_IiiioI @ patient_THFTYPE_i @ n1_THFTYPE_i @ lProcess_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(25,axiom,
    domain_THFTYPE_IIiioIiioI @ inList_THFTYPE_IiioI @ n1_THFTYPE_i @ lEntity_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_184) ).

thf(103,plain,
    domain_THFTYPE_IIiioIiioI @ inList_THFTYPE_IiioI @ n1_THFTYPE_i @ lEntity_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(55,axiom,
    instance_THFTYPE_IIiioIioI @ range_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_088) ).

thf(140,plain,
    instance_THFTYPE_IIiioIioI @ range_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).

thf(17,axiom,
    domain_THFTYPE_IIiioIiioI @ before_THFTYPE_IiioI @ n2_THFTYPE_i @ lTimePoint_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_203) ).

thf(91,plain,
    domain_THFTYPE_IIiioIiioI @ before_THFTYPE_IiioI @ n2_THFTYPE_i @ lTimePoint_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(29,axiom,
    subclass_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i @ lIrreflexiveRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_014) ).

thf(108,plain,
    subclass_THFTYPE_IiioI @ lAsymmetricRelation_THFTYPE_i @ lIrreflexiveRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(45,axiom,
    domain_THFTYPE_IIiioIiioI @ part_THFTYPE_IiioI @ n2_THFTYPE_i @ lObject_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_156) ).

thf(130,plain,
    domain_THFTYPE_IIiioIiioI @ part_THFTYPE_IiioI @ n2_THFTYPE_i @ lObject_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).

thf(50,axiom,
    domain_THFTYPE_IIiioIiioI @ subProcess_THFTYPE_IiioI @ n2_THFTYPE_i @ lProcess_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_102) ).

thf(135,plain,
    domain_THFTYPE_IIiioIiioI @ subProcess_THFTYPE_IiioI @ n2_THFTYPE_i @ lProcess_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).

thf(10,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_053) ).

thf(80,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)],[10]) ).

thf(31,axiom,
    domain_THFTYPE_IIiioIiioI @ wife_THFTYPE_IiioI @ n2_THFTYPE_i @ lMan_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_155) ).

thf(112,plain,
    domain_THFTYPE_IIiioIiioI @ wife_THFTYPE_IiioI @ n2_THFTYPE_i @ lMan_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).

thf(60,axiom,
    domain_THFTYPE_IIiioIiioI @ husband_THFTYPE_IiioI @ n1_THFTYPE_i @ lMan_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_177) ).

thf(145,plain,
    domain_THFTYPE_IIiioIiioI @ husband_THFTYPE_IiioI @ n1_THFTYPE_i @ lMan_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).

thf(1,conjecture,
    ? [A: $i] : ( husband_THFTYPE_IiioI @ A @ lCorina_THFTYPE_i ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

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

thf(67,plain,
    ~ ? [A: $i] : ( husband_THFTYPE_IiioI @ A @ lCorina_THFTYPE_i ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(42,axiom,
    instance_THFTYPE_IIiioIioI @ wife_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_149) ).

thf(127,plain,
    instance_THFTYPE_IIiioIioI @ wife_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).

thf(5,axiom,
    ? [A: $i] : ( instance_THFTYPE_IiioI @ A @ lEntity_THFTYPE_i ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_041) ).

thf(72,plain,
    ? [A: $i] : ( instance_THFTYPE_IiioI @ A @ lEntity_THFTYPE_i ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(58,axiom,
    instance_THFTYPE_IIiioIioI @ lessThan_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_109) ).

thf(143,plain,
    instance_THFTYPE_IIiioIioI @ lessThan_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).

thf(21,axiom,
    subclass_THFTYPE_IiioI @ lWoman_THFTYPE_i @ lHuman_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_065) ).

thf(99,plain,
    subclass_THFTYPE_IiioI @ lWoman_THFTYPE_i @ lHuman_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(13,axiom,
    domain_THFTYPE_IIiioIiioI @ attribute_THFTYPE_IiioI @ n1_THFTYPE_i @ lObject_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_224) ).

thf(87,plain,
    domain_THFTYPE_IIiioIiioI @ attribute_THFTYPE_IiioI @ n1_THFTYPE_i @ lObject_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(26,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/sandbox2/benchmark/theBenchmark.p',ax_021) ).

thf(104,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)],[26]) ).

thf(7,axiom,
    ! [A: $i] :
      ( ( instance_THFTYPE_IiioI @ A @ lMan_THFTYPE_i )
     => ( attribute_THFTYPE_IiioI @ A @ lMale_THFTYPE_i ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_071) ).

thf(75,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)],[7]) ).

thf(36,axiom,
    domain_THFTYPE_IiiioI @ spouse_THFTYPE_i @ n1_THFTYPE_i @ lHuman_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_103) ).

thf(119,plain,
    domain_THFTYPE_IiiioI @ spouse_THFTYPE_i @ n1_THFTYPE_i @ lHuman_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).

thf(66,axiom,
    inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_042) ).

thf(151,plain,
    inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).

thf(61,axiom,
    wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_051) ).

thf(146,plain,
    wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).

thf(28,axiom,
    instance_THFTYPE_IiioI @ spouse_THFTYPE_i @ lIrreflexiveRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_196) ).

thf(107,plain,
    instance_THFTYPE_IiioI @ spouse_THFTYPE_i @ lIrreflexiveRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(19,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_056) ).

thf(94,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)],[19]) ).

thf(41,axiom,
    instance_THFTYPE_IIiioIioI @ attribute_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_151) ).

thf(126,plain,
    instance_THFTYPE_IIiioIioI @ attribute_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).

thf(51,axiom,
    domain_THFTYPE_IIIiioIIiioIoIiioI @ inverse_THFTYPE_IIiioIIiioIoI @ n1_THFTYPE_i @ lBinaryRelation_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_125) ).

thf(136,plain,
    domain_THFTYPE_IIIiioIIiioIoIiioI @ inverse_THFTYPE_IIiioIIiioIoI @ n1_THFTYPE_i @ lBinaryRelation_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).

thf(16,axiom,
    inverse_THFTYPE_IIiioIIiioIoI @ greaterThan_THFTYPE_IiioI @ lessThan_THFTYPE_IiioI,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_074) ).

thf(90,plain,
    inverse_THFTYPE_IIiioIIiioIoI @ greaterThan_THFTYPE_IiioI @ lessThan_THFTYPE_IiioI,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(39,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/sandbox2/benchmark/theBenchmark.p',ax_006) ).

thf(122,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)],[39]) ).

thf(22,axiom,
    domain_THFTYPE_IIiioIiioI @ meetsTemporally_THFTYPE_IiioI @ n1_THFTYPE_i @ lTimeInterval_THFTYPE_i,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_096) ).

thf(100,plain,
    domain_THFTYPE_IIiioIiioI @ meetsTemporally_THFTYPE_IiioI @ n1_THFTYPE_i @ lTimeInterval_THFTYPE_i,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(152,plain,
    $false,
    inference(e,[status(thm)],[120,142,125,78,92,141,129,118,150,139,131,69,138,101,88,106,121,84,147,132,116,74,89,133,117,102,70,137,109,77,134,128,148,149,144,86,113,98,103,140,91,108,130,135,80,112,145,67,127,72,143,99,87,104,75,119,151,146,107,94,126,136,90,122,100]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem  : CSR142^2 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.17  % Command  : run_Leo-III %s %d
% 0.18/0.38  % Computer : n027.cluster.edu
% 0.18/0.38  % Model    : x86_64 x86_64
% 0.18/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.38  % Memory   : 8042.1875MB
% 0.18/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.38  % CPULimit : 300
% 0.18/0.38  % WCLimit  : 300
% 0.18/0.38  % DateTime : Mon May  6 15:40:09 EDT 2024
% 0.18/0.38  % CPUTime  : 
% 0.97/0.88  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.63/1.08  % [INFO] 	 Parsing done (198ms). 
% 1.63/1.09  % [INFO] 	 Running in sequential loop mode. 
% 2.26/1.31  % [INFO] 	 eprover registered as external prover. 
% 2.26/1.31  % [INFO] 	 cvc4 registered as external prover. 
% 2.26/1.32  % [INFO] 	 Scanning for conjecture ... 
% 2.58/1.40  % [INFO] 	 Found a conjecture and 229 axioms. Running axiom selection ... 
% 2.80/1.47  % [INFO] 	 Axiom selection finished. Selected 64 axioms (removed 165 axioms). 
% 2.80/1.50  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 2.80/1.51  % [INFO] 	 Type checking passed. 
% 2.80/1.51  % [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 ... 
% 5.02/2.13  % External prover 'e' found a proof!
% 5.02/2.13  % [INFO] 	 Killing All external provers ... 
% 5.02/2.13  % Time passed: 1584ms (effective reasoning time: 1038ms)
% 5.02/2.13  % 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)>
% 5.02/2.13  % Axioms used in derivation (64): ax_092, ax_104, ax_125, ax_165, ax_041, ax_096, ax_201, ax_196, ax_051, ax_007, ax_074, ax_014, ax_055, ax_003, ax_129, ax_040, ax_099, ax_155, ax_142, ax_153, ax_006, ax_001, ax_124, ax_088, ax_118, ax_113, ax_185, ax_065, ax_163, ax_091, ax_043, ax_156, ax_059, ax_128, ax_056, ax_021, ax_139, ax_220, ax_103, ax_134, ax_151, ax_173, ax_219, ax_184, ax_042, ax_191, ax_208, ax_053, ax_116, ax_052, ax_177, ax_102, ax_109, ax_149, ax_209, ax_101, ax_203, ax_144, ax_133, ax_224, ax_004, ax_057, ax_071, ax_214
% 5.02/2.13  % No. of inferences in proof: 132
% 5.02/2.14  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1584 ms resp. 1038 ms w/o parsing
% 5.47/2.18  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.47/2.18  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------