TSTP Solution File: SWB028+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SWB028+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n017.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 19:37:05 EDT 2023

% Result   : Theorem 348.02s 44.45s
% Output   : CNFRefutation 348.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   60 (  16 unt;   0 def)
%            Number of atoms       :  239 (  10 equ)
%            Maximal formula atoms :   20 (   3 avg)
%            Number of connectives :  279 ( 100   ~; 119   |;  46   &)
%                                         (   8 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   22 (  22 usr;  11 con; 0-4 aty)
%            Number of variables   :  108 (   2 sgn;  65   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(owl_rdfsext_subclassof,axiom,
    ! [X13,X15] :
      ( iext(uri_rdfs_subClassOf,X13,X15)
    <=> ( ic(X13)
        & ic(X15)
        & ! [X4] :
            ( icext(X13,X4)
           => icext(X15,X4) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.3Tnmee5P0U/E---3.1_13030.p',owl_rdfsext_subclassof) ).

fof(owl_prop_equivalentclass_ext,axiom,
    ! [X4,X7] :
      ( iext(uri_owl_equivalentClass,X4,X7)
     => ( ic(X4)
        & ic(X7) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.3Tnmee5P0U/E---3.1_13030.p',owl_prop_equivalentclass_ext) ).

fof(testcase_premise_fullish_028_Inferred_Property_Characteristics_III,axiom,
    ? [X42] :
      ( iext(uri_owl_equivalentClass,uri_ex_InversesOfFunctionalProperties,X42)
      & iext(uri_rdf_type,X42,uri_owl_Restriction)
      & iext(uri_owl_onProperty,X42,uri_owl_inverseOf)
      & iext(uri_owl_someValuesFrom,X42,uri_owl_FunctionalProperty) ),
    file('/export/starexec/sandbox2/tmp/tmp.3Tnmee5P0U/E---3.1_13030.p',testcase_premise_fullish_028_Inferred_Property_Characteristics_III) ).

fof(owl_restrict_somevaluesfrom,axiom,
    ! [X11,X2,X5] :
      ( ( iext(uri_owl_someValuesFrom,X11,X5)
        & iext(uri_owl_onProperty,X11,X2) )
     => ! [X4] :
          ( icext(X11,X4)
        <=> ? [X7] :
              ( iext(X2,X4,X7)
              & icext(X5,X7) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.3Tnmee5P0U/E---3.1_13030.p',owl_restrict_somevaluesfrom) ).

fof(owl_eqdis_equivalentclass,axiom,
    ! [X13,X15] :
      ( iext(uri_owl_equivalentClass,X13,X15)
    <=> ( ic(X13)
        & ic(X15)
        & ! [X4] :
            ( icext(X13,X4)
          <=> icext(X15,X4) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.3Tnmee5P0U/E---3.1_13030.p',owl_eqdis_equivalentclass) ).

fof(owl_class_inversefunctionalproperty_type,axiom,
    ic(uri_owl_InverseFunctionalProperty),
    file('/export/starexec/sandbox2/tmp/tmp.3Tnmee5P0U/E---3.1_13030.p',owl_class_inversefunctionalproperty_type) ).

fof(testcase_conclusion_fullish_028_Inferred_Property_Characteristics_III,conjecture,
    iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),
    file('/export/starexec/sandbox2/tmp/tmp.3Tnmee5P0U/E---3.1_13030.p',testcase_conclusion_fullish_028_Inferred_Property_Characteristics_III) ).

fof(owl_prop_inverseof_ext,axiom,
    ! [X4,X7] :
      ( iext(uri_owl_inverseOf,X4,X7)
     => ( ip(X4)
        & ip(X7) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.3Tnmee5P0U/E---3.1_13030.p',owl_prop_inverseof_ext) ).

fof(owl_char_inversefunctional,axiom,
    ! [X2] :
      ( icext(uri_owl_InverseFunctionalProperty,X2)
    <=> ( ip(X2)
        & ! [X37,X38,X7] :
            ( ( iext(X2,X37,X7)
              & iext(X2,X38,X7) )
           => X37 = X38 ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.3Tnmee5P0U/E---3.1_13030.p',owl_char_inversefunctional) ).

fof(owl_inv,axiom,
    ! [X33,X34] :
      ( iext(uri_owl_inverseOf,X33,X34)
    <=> ( ip(X33)
        & ip(X34)
        & ! [X4,X7] :
            ( iext(X33,X4,X7)
          <=> iext(X34,X7,X4) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.3Tnmee5P0U/E---3.1_13030.p',owl_inv) ).

fof(owl_char_functional,axiom,
    ! [X2] :
      ( icext(uri_owl_FunctionalProperty,X2)
    <=> ( ip(X2)
        & ! [X4,X27,X28] :
            ( ( iext(X2,X4,X27)
              & iext(X2,X4,X28) )
           => X27 = X28 ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.3Tnmee5P0U/E---3.1_13030.p',owl_char_functional) ).

fof(c_0_11,plain,
    ! [X61,X62,X63,X64,X65] :
      ( ( ic(X61)
        | ~ iext(uri_rdfs_subClassOf,X61,X62) )
      & ( ic(X62)
        | ~ iext(uri_rdfs_subClassOf,X61,X62) )
      & ( ~ icext(X61,X63)
        | icext(X62,X63)
        | ~ iext(uri_rdfs_subClassOf,X61,X62) )
      & ( icext(X64,esk5_2(X64,X65))
        | ~ ic(X64)
        | ~ ic(X65)
        | iext(uri_rdfs_subClassOf,X64,X65) )
      & ( ~ icext(X65,esk5_2(X64,X65))
        | ~ ic(X64)
        | ~ ic(X65)
        | iext(uri_rdfs_subClassOf,X64,X65) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_rdfsext_subclassof])])])])])]) ).

fof(c_0_12,plain,
    ! [X116,X117] :
      ( ( ic(X116)
        | ~ iext(uri_owl_equivalentClass,X116,X117) )
      & ( ic(X117)
        | ~ iext(uri_owl_equivalentClass,X116,X117) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_prop_equivalentclass_ext])])]) ).

fof(c_0_13,plain,
    ( iext(uri_owl_equivalentClass,uri_ex_InversesOfFunctionalProperties,esk4_0)
    & iext(uri_rdf_type,esk4_0,uri_owl_Restriction)
    & iext(uri_owl_onProperty,esk4_0,uri_owl_inverseOf)
    & iext(uri_owl_someValuesFrom,esk4_0,uri_owl_FunctionalProperty) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[testcase_premise_fullish_028_Inferred_Property_Characteristics_III])]) ).

fof(c_0_14,plain,
    ! [X85,X86,X87,X88,X90,X91] :
      ( ( iext(X86,X88,esk9_4(X85,X86,X87,X88))
        | ~ icext(X85,X88)
        | ~ iext(uri_owl_someValuesFrom,X85,X87)
        | ~ iext(uri_owl_onProperty,X85,X86) )
      & ( icext(X87,esk9_4(X85,X86,X87,X88))
        | ~ icext(X85,X88)
        | ~ iext(uri_owl_someValuesFrom,X85,X87)
        | ~ iext(uri_owl_onProperty,X85,X86) )
      & ( ~ iext(X86,X90,X91)
        | ~ icext(X87,X91)
        | icext(X85,X90)
        | ~ iext(uri_owl_someValuesFrom,X85,X87)
        | ~ iext(uri_owl_onProperty,X85,X86) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_restrict_somevaluesfrom])])])])])]) ).

fof(c_0_15,plain,
    ! [X118,X119,X120,X121,X122,X123] :
      ( ( ic(X118)
        | ~ iext(uri_owl_equivalentClass,X118,X119) )
      & ( ic(X119)
        | ~ iext(uri_owl_equivalentClass,X118,X119) )
      & ( ~ icext(X118,X120)
        | icext(X119,X120)
        | ~ iext(uri_owl_equivalentClass,X118,X119) )
      & ( ~ icext(X119,X121)
        | icext(X118,X121)
        | ~ iext(uri_owl_equivalentClass,X118,X119) )
      & ( ~ icext(X122,esk12_2(X122,X123))
        | ~ icext(X123,esk12_2(X122,X123))
        | ~ ic(X122)
        | ~ ic(X123)
        | iext(uri_owl_equivalentClass,X122,X123) )
      & ( icext(X122,esk12_2(X122,X123))
        | icext(X123,esk12_2(X122,X123))
        | ~ ic(X122)
        | ~ ic(X123)
        | iext(uri_owl_equivalentClass,X122,X123) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_eqdis_equivalentclass])])])])])]) ).

cnf(c_0_16,plain,
    ( icext(X1,esk5_2(X1,X2))
    | iext(uri_rdfs_subClassOf,X1,X2)
    | ~ ic(X1)
    | ~ ic(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_17,plain,
    ic(uri_owl_InverseFunctionalProperty),
    inference(split_conjunct,[status(thm)],[owl_class_inversefunctionalproperty_type]) ).

cnf(c_0_18,plain,
    ( ic(X1)
    | ~ iext(uri_owl_equivalentClass,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_19,plain,
    iext(uri_owl_equivalentClass,uri_ex_InversesOfFunctionalProperties,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

fof(c_0_20,negated_conjecture,
    ~ iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_028_Inferred_Property_Characteristics_III])]) ).

cnf(c_0_21,plain,
    ( iext(X1,X2,esk9_4(X3,X1,X4,X2))
    | ~ icext(X3,X2)
    | ~ iext(uri_owl_someValuesFrom,X3,X4)
    | ~ iext(uri_owl_onProperty,X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_22,plain,
    iext(uri_owl_onProperty,esk4_0,uri_owl_inverseOf),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_23,plain,
    ( icext(X3,X2)
    | ~ icext(X1,X2)
    | ~ iext(uri_owl_equivalentClass,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_24,plain,
    ( icext(X1,esk5_2(X1,uri_owl_InverseFunctionalProperty))
    | iext(uri_rdfs_subClassOf,X1,uri_owl_InverseFunctionalProperty)
    | ~ ic(X1) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_25,plain,
    ic(uri_ex_InversesOfFunctionalProperties),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_26,negated_conjecture,
    ~ iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_27,plain,
    ( iext(uri_owl_inverseOf,X1,esk9_4(esk4_0,uri_owl_inverseOf,X2,X1))
    | ~ icext(esk4_0,X1)
    | ~ iext(uri_owl_someValuesFrom,esk4_0,X2) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_28,plain,
    iext(uri_owl_someValuesFrom,esk4_0,uri_owl_FunctionalProperty),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_29,plain,
    ( icext(esk4_0,X1)
    | ~ icext(uri_ex_InversesOfFunctionalProperties,X1) ),
    inference(spm,[status(thm)],[c_0_23,c_0_19]) ).

cnf(c_0_30,plain,
    icext(uri_ex_InversesOfFunctionalProperties,esk5_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).

fof(c_0_31,plain,
    ! [X92,X93] :
      ( ( ip(X92)
        | ~ iext(uri_owl_inverseOf,X92,X93) )
      & ( ip(X93)
        | ~ iext(uri_owl_inverseOf,X92,X93) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_prop_inverseof_ext])])]) ).

cnf(c_0_32,plain,
    ( iext(uri_owl_inverseOf,X1,esk9_4(esk4_0,uri_owl_inverseOf,uri_owl_FunctionalProperty,X1))
    | ~ icext(esk4_0,X1) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_33,plain,
    icext(esk4_0,esk5_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

fof(c_0_34,plain,
    ! [X44,X45,X46,X47,X48] :
      ( ( ip(X44)
        | ~ icext(uri_owl_InverseFunctionalProperty,X44) )
      & ( ~ iext(X44,X45,X47)
        | ~ iext(X44,X46,X47)
        | X45 = X46
        | ~ icext(uri_owl_InverseFunctionalProperty,X44) )
      & ( iext(X48,esk1_1(X48),esk3_1(X48))
        | ~ ip(X48)
        | icext(uri_owl_InverseFunctionalProperty,X48) )
      & ( iext(X48,esk2_1(X48),esk3_1(X48))
        | ~ ip(X48)
        | icext(uri_owl_InverseFunctionalProperty,X48) )
      & ( esk1_1(X48) != esk2_1(X48)
        | ~ ip(X48)
        | icext(uri_owl_InverseFunctionalProperty,X48) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_char_inversefunctional])])])])])]) ).

cnf(c_0_35,plain,
    ( ip(X1)
    | ~ iext(uri_owl_inverseOf,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_36,plain,
    iext(uri_owl_inverseOf,esk5_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),esk9_4(esk4_0,uri_owl_inverseOf,uri_owl_FunctionalProperty,esk5_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

fof(c_0_37,plain,
    ! [X94,X95,X96,X97,X98,X99,X100,X101] :
      ( ( ip(X94)
        | ~ iext(uri_owl_inverseOf,X94,X95) )
      & ( ip(X95)
        | ~ iext(uri_owl_inverseOf,X94,X95) )
      & ( ~ iext(X94,X96,X97)
        | iext(X95,X97,X96)
        | ~ iext(uri_owl_inverseOf,X94,X95) )
      & ( ~ iext(X95,X99,X98)
        | iext(X94,X98,X99)
        | ~ iext(uri_owl_inverseOf,X94,X95) )
      & ( ~ iext(X100,esk10_2(X100,X101),esk11_2(X100,X101))
        | ~ iext(X101,esk11_2(X100,X101),esk10_2(X100,X101))
        | ~ ip(X100)
        | ~ ip(X101)
        | iext(uri_owl_inverseOf,X100,X101) )
      & ( iext(X100,esk10_2(X100,X101),esk11_2(X100,X101))
        | iext(X101,esk11_2(X100,X101),esk10_2(X100,X101))
        | ~ ip(X100)
        | ~ ip(X101)
        | iext(uri_owl_inverseOf,X100,X101) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_inv])])])])])]) ).

cnf(c_0_38,plain,
    ( iext(X1,esk1_1(X1),esk3_1(X1))
    | icext(uri_owl_InverseFunctionalProperty,X1)
    | ~ ip(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_39,plain,
    ip(esk5_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_40,plain,
    ( icext(X1,esk9_4(X2,X3,X1,X4))
    | ~ icext(X2,X4)
    | ~ iext(uri_owl_someValuesFrom,X2,X1)
    | ~ iext(uri_owl_onProperty,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_41,plain,
    ( iext(X4,X3,X2)
    | ~ iext(X1,X2,X3)
    | ~ iext(uri_owl_inverseOf,X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_42,plain,
    ( icext(uri_owl_InverseFunctionalProperty,esk5_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
    | iext(esk5_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),esk1_1(esk5_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),esk3_1(esk5_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))) ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_43,plain,
    ( icext(X1,esk9_4(esk4_0,uri_owl_inverseOf,X1,X2))
    | ~ icext(esk4_0,X2)
    | ~ iext(uri_owl_someValuesFrom,esk4_0,X1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_22]) ).

cnf(c_0_44,plain,
    ( iext(X1,esk2_1(X1),esk3_1(X1))
    | icext(uri_owl_InverseFunctionalProperty,X1)
    | ~ ip(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

fof(c_0_45,plain,
    ! [X75,X76,X77,X78,X79] :
      ( ( ip(X75)
        | ~ icext(uri_owl_FunctionalProperty,X75) )
      & ( ~ iext(X75,X76,X77)
        | ~ iext(X75,X76,X78)
        | X77 = X78
        | ~ icext(uri_owl_FunctionalProperty,X75) )
      & ( iext(X79,esk6_1(X79),esk7_1(X79))
        | ~ ip(X79)
        | icext(uri_owl_FunctionalProperty,X79) )
      & ( iext(X79,esk6_1(X79),esk8_1(X79))
        | ~ ip(X79)
        | icext(uri_owl_FunctionalProperty,X79) )
      & ( esk7_1(X79) != esk8_1(X79)
        | ~ ip(X79)
        | icext(uri_owl_FunctionalProperty,X79) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_char_functional])])])])])]) ).

cnf(c_0_46,plain,
    ( icext(uri_owl_InverseFunctionalProperty,esk5_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
    | iext(X1,esk3_1(esk5_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),esk1_1(esk5_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)))
    | ~ iext(uri_owl_inverseOf,esk5_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),X1) ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_47,plain,
    ( icext(uri_owl_FunctionalProperty,esk9_4(esk4_0,uri_owl_inverseOf,uri_owl_FunctionalProperty,X1))
    | ~ icext(esk4_0,X1) ),
    inference(spm,[status(thm)],[c_0_43,c_0_28]) ).

cnf(c_0_48,plain,
    ( icext(uri_owl_InverseFunctionalProperty,esk5_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
    | iext(esk5_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),esk2_1(esk5_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),esk3_1(esk5_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))) ),
    inference(spm,[status(thm)],[c_0_44,c_0_39]) ).

cnf(c_0_49,plain,
    ( X3 = X4
    | ~ iext(X1,X2,X3)
    | ~ iext(X1,X2,X4)
    | ~ icext(uri_owl_FunctionalProperty,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_50,plain,
    ( icext(uri_owl_InverseFunctionalProperty,esk5_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
    | iext(esk9_4(esk4_0,uri_owl_inverseOf,uri_owl_FunctionalProperty,esk5_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),esk3_1(esk5_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),esk1_1(esk5_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))) ),
    inference(spm,[status(thm)],[c_0_46,c_0_36]) ).

cnf(c_0_51,plain,
    icext(uri_owl_FunctionalProperty,esk9_4(esk4_0,uri_owl_inverseOf,uri_owl_FunctionalProperty,esk5_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))),
    inference(spm,[status(thm)],[c_0_47,c_0_33]) ).

cnf(c_0_52,plain,
    ( icext(uri_owl_InverseFunctionalProperty,esk5_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
    | iext(X1,esk3_1(esk5_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),esk2_1(esk5_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)))
    | ~ iext(uri_owl_inverseOf,esk5_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),X1) ),
    inference(spm,[status(thm)],[c_0_41,c_0_48]) ).

cnf(c_0_53,plain,
    ( X1 = esk1_1(esk5_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
    | icext(uri_owl_InverseFunctionalProperty,esk5_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
    | ~ iext(esk9_4(esk4_0,uri_owl_inverseOf,uri_owl_FunctionalProperty,esk5_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),esk3_1(esk5_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51])]) ).

cnf(c_0_54,plain,
    ( icext(uri_owl_InverseFunctionalProperty,esk5_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
    | iext(esk9_4(esk4_0,uri_owl_inverseOf,uri_owl_FunctionalProperty,esk5_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),esk3_1(esk5_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),esk2_1(esk5_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))) ),
    inference(spm,[status(thm)],[c_0_52,c_0_36]) ).

cnf(c_0_55,plain,
    ( icext(uri_owl_InverseFunctionalProperty,X1)
    | esk1_1(X1) != esk2_1(X1)
    | ~ ip(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_56,plain,
    ( esk2_1(esk5_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)) = esk1_1(esk5_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
    | icext(uri_owl_InverseFunctionalProperty,esk5_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)) ),
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_57,plain,
    ( iext(uri_rdfs_subClassOf,X2,X1)
    | ~ icext(X1,esk5_2(X2,X1))
    | ~ ic(X2)
    | ~ ic(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_58,plain,
    icext(uri_owl_InverseFunctionalProperty,esk5_2(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_39])]) ).

cnf(c_0_59,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_25]),c_0_17])]),c_0_26]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.17  % Problem    : SWB028+1 : TPTP v8.1.2. Released v5.2.0.
% 0.18/0.18  % Command    : run_E %s %d THM
% 0.18/0.39  % Computer : n017.cluster.edu
% 0.18/0.39  % Model    : x86_64 x86_64
% 0.18/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.39  % Memory   : 8042.1875MB
% 0.18/0.39  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.39  % CPULimit   : 2400
% 0.18/0.39  % WCLimit    : 300
% 0.18/0.39  % DateTime   : Mon Oct  2 19:49:56 EDT 2023
% 0.18/0.40  % CPUTime    : 
% 0.38/0.60  Running first-order theorem proving
% 0.38/0.60  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.3Tnmee5P0U/E---3.1_13030.p
% 348.02/44.45  # Version: 3.1pre001
% 348.02/44.45  # Preprocessing class: FSLMSMSLSSSNFFN.
% 348.02/44.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 348.02/44.45  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 348.02/44.45  # Starting new_bool_3 with 600s (2) cores
% 348.02/44.45  # Starting new_bool_1 with 600s (2) cores
% 348.02/44.45  # Starting sh5l with 300s (1) cores
% 348.02/44.45  # new_bool_1 with pid 13128 completed with status 0
% 348.02/44.45  # Result found by new_bool_1
% 348.02/44.45  # Preprocessing class: FSLMSMSLSSSNFFN.
% 348.02/44.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 348.02/44.45  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 348.02/44.45  # Starting new_bool_3 with 600s (2) cores
% 348.02/44.45  # Starting new_bool_1 with 600s (2) cores
% 348.02/44.45  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 348.02/44.45  # Search class: FGUSF-FFMM31-SFFFFFNN
% 348.02/44.45  # partial match(1): FGHSF-FFMM31-SFFFFFNN
% 348.02/44.45  # Scheduled 5 strats onto 2 cores with 600 seconds (600 total)
% 348.02/44.45  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with 361s (1) cores
% 348.02/44.45  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 61s (1) cores
% 348.02/44.45  # G-E--_208_C18_F1_SE_CS_SP_PS_S2g with pid 13133 completed with status 0
% 348.02/44.45  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S2g
% 348.02/44.45  # Preprocessing class: FSLMSMSLSSSNFFN.
% 348.02/44.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 348.02/44.45  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 348.02/44.45  # Starting new_bool_3 with 600s (2) cores
% 348.02/44.45  # Starting new_bool_1 with 600s (2) cores
% 348.02/44.45  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 348.02/44.45  # Search class: FGUSF-FFMM31-SFFFFFNN
% 348.02/44.45  # partial match(1): FGHSF-FFMM31-SFFFFFNN
% 348.02/44.45  # Scheduled 5 strats onto 2 cores with 600 seconds (600 total)
% 348.02/44.45  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with 361s (1) cores
% 348.02/44.45  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 61s (1) cores
% 348.02/44.45  # Preprocessing time       : 0.004 s
% 348.02/44.45  # Presaturation interreduction done
% 348.02/44.45  
% 348.02/44.45  # Proof found!
% 348.02/44.45  # SZS status Theorem
% 348.02/44.45  # SZS output start CNFRefutation
% See solution above
% 348.02/44.45  # Parsed axioms                        : 560
% 348.02/44.45  # Removed by relevancy pruning/SinE    : 487
% 348.02/44.45  # Initial clauses                      : 127
% 348.02/44.45  # Removed in clause preprocessing      : 0
% 348.02/44.45  # Initial clauses in saturation        : 127
% 348.02/44.45  # Processed clauses                    : 39185
% 348.02/44.45  # ...of these trivial                  : 52
% 348.02/44.45  # ...subsumed                          : 11895
% 348.02/44.45  # ...remaining for further processing  : 27238
% 348.02/44.45  # Other redundant clauses eliminated   : 0
% 348.02/44.45  # Clauses deleted for lack of memory   : 0
% 348.02/44.45  # Backward-subsumed                    : 0
% 348.02/44.45  # Backward-rewritten                   : 406
% 348.02/44.45  # Generated clauses                    : 178919
% 348.02/44.45  # ...of the previous two non-redundant : 174139
% 348.02/44.45  # ...aggressively subsumed             : 0
% 348.02/44.45  # Contextual simplify-reflections      : 92
% 348.02/44.45  # Paramodulations                      : 178919
% 348.02/44.45  # Factorizations                       : 0
% 348.02/44.45  # NegExts                              : 0
% 348.02/44.45  # Equation resolutions                 : 0
% 348.02/44.45  # Total rewrite steps                  : 4214
% 348.02/44.45  # Propositional unsat checks           : 0
% 348.02/44.45  #    Propositional check models        : 0
% 348.02/44.45  #    Propositional check unsatisfiable : 0
% 348.02/44.45  #    Propositional clauses             : 0
% 348.02/44.45  #    Propositional clauses after purity: 0
% 348.02/44.45  #    Propositional unsat core size     : 0
% 348.02/44.45  #    Propositional preprocessing time  : 0.000
% 348.02/44.45  #    Propositional encoding time       : 0.000
% 348.02/44.45  #    Propositional solver time         : 0.000
% 348.02/44.45  #    Success case prop preproc time    : 0.000
% 348.02/44.45  #    Success case prop encoding time   : 0.000
% 348.02/44.45  #    Success case prop solver time     : 0.000
% 348.02/44.45  # Current number of processed clauses  : 26733
% 348.02/44.45  #    Positive orientable unit clauses  : 173
% 348.02/44.45  #    Positive unorientable unit clauses: 0
% 348.02/44.45  #    Negative unit clauses             : 1
% 348.02/44.45  #    Non-unit-clauses                  : 26559
% 348.02/44.45  # Current number of unprocessed clauses: 134933
% 348.02/44.45  # ...number of literals in the above   : 587353
% 348.02/44.45  # Current number of archived formulas  : 0
% 348.02/44.45  # Current number of archived clauses   : 505
% 348.02/44.45  # Clause-clause subsumption calls (NU) : 86069293
% 348.02/44.45  # Rec. Clause-clause subsumption calls : 28106188
% 348.02/44.45  # Non-unit clause-clause subsumptions  : 11987
% 348.02/44.45  # Unit Clause-clause subsumption calls : 138666
% 348.02/44.45  # Rewrite failures with RHS unbound    : 0
% 348.02/44.45  # BW rewrite match attempts            : 243
% 348.02/44.45  # BW rewrite match successes           : 25
% 348.02/44.45  # Condensation attempts                : 0
% 348.02/44.45  # Condensation successes               : 0
% 348.02/44.45  # Termbank termtop insertions          : 4919961
% 348.02/44.45  
% 348.02/44.45  # -------------------------------------------------
% 348.02/44.45  # User time                : 43.229 s
% 348.02/44.45  # System time              : 0.210 s
% 348.02/44.45  # Total time               : 43.439 s
% 348.02/44.45  # Maximum resident set size: 2640 pages
% 348.02/44.45  
% 348.02/44.45  # -------------------------------------------------
% 348.02/44.45  # User time                : 85.951 s
% 348.02/44.45  # System time              : 0.898 s
% 348.02/44.45  # Total time               : 86.849 s
% 348.02/44.45  # Maximum resident set size: 2228 pages
% 348.02/44.45  % E---3.1 exiting
% 348.02/44.45  % E---3.1 exiting
%------------------------------------------------------------------------------