TSTP Solution File: SWB108+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWB108+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n021.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 19:38:47 EDT 2023

% Result   : Theorem 933.05s 145.36s
% Output   : CNFRefutation 933.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   68 (  18 unt;   0 def)
%            Number of atoms       :  253 (   0 equ)
%            Maximal formula atoms :   20 (   3 avg)
%            Number of connectives :  311 ( 126   ~; 138   |;  34   &)
%                                         (   5 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   19 (  19 usr;  14 con; 0-4 aty)
%            Number of variables   :  129 (   2 sgn;  53   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(owl_prop_minqualifiedcardinality_ext,axiom,
    ! [X4,X7] :
      ( iext(uri_owl_minQualifiedCardinality,X4,X7)
     => ( icext(uri_owl_Restriction,X4)
        & icext(uri_xml_nonNegativeInteger,X7) ) ),
    file('/export/starexec/sandbox/tmp/tmp.qymCz79z35/E---3.1_16769.p',owl_prop_minqualifiedcardinality_ext) ).

fof(owl_restrict_minqcr_object_001,axiom,
    ! [X11,X2,X5] :
      ( ( iext(uri_owl_minQualifiedCardinality,X11,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
        & iext(uri_owl_onProperty,X11,X2)
        & iext(uri_owl_onClass,X11,X5) )
     => ! [X4] :
          ( icext(X11,X4)
        <=> ? [X7] :
              ( iext(X2,X4,X7)
              & icext(X5,X7) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.qymCz79z35/E---3.1_16769.p',owl_restrict_minqcr_object_001) ).

fof(owl_class_restriction_ext,axiom,
    ! [X4] :
      ( icext(uri_owl_Restriction,X4)
     => ic(X4) ),
    file('/export/starexec/sandbox/tmp/tmp.qymCz79z35/E---3.1_16769.p',owl_class_restriction_ext) ).

fof(premise_rdfbased_sem_restrict_term_someqcr,axiom,
    ( iext(uri_owl_minQualifiedCardinality,uri_ex_z2,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
    & iext(uri_owl_onProperty,uri_ex_z2,uri_ex_p)
    & iext(uri_owl_onClass,uri_ex_z2,uri_ex_c)
    & iext(uri_owl_someValuesFrom,uri_ex_z1,uri_ex_c)
    & iext(uri_owl_onProperty,uri_ex_z1,uri_ex_p) ),
    file('/export/starexec/sandbox/tmp/tmp.qymCz79z35/E---3.1_16769.p',premise_rdfbased_sem_restrict_term_someqcr) ).

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/sandbox/tmp/tmp.qymCz79z35/E---3.1_16769.p',owl_restrict_somevaluesfrom) ).

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/sandbox/tmp/tmp.qymCz79z35/E---3.1_16769.p',owl_rdfsext_subclassof) ).

fof(owl_prop_onproperty_ext,axiom,
    ! [X4,X7] :
      ( iext(uri_owl_onProperty,X4,X7)
     => ( icext(uri_owl_Restriction,X4)
        & ip(X7) ) ),
    file('/export/starexec/sandbox/tmp/tmp.qymCz79z35/E---3.1_16769.p',owl_prop_onproperty_ext) ).

fof(rdfs_subclassof_main,axiom,
    ! [X5,X6] :
      ( iext(uri_rdfs_subClassOf,X5,X6)
     => ( ic(X5)
        & ic(X6)
        & ! [X4] :
            ( icext(X5,X4)
           => icext(X6,X4) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.qymCz79z35/E---3.1_16769.p',rdfs_subclassof_main) ).

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/sandbox/tmp/tmp.qymCz79z35/E---3.1_16769.p',owl_eqdis_equivalentclass) ).

fof(conclusion_rdfbased_sem_restrict_term_someqcr,conjecture,
    iext(uri_owl_equivalentClass,uri_ex_z1,uri_ex_z2),
    file('/export/starexec/sandbox/tmp/tmp.qymCz79z35/E---3.1_16769.p',conclusion_rdfbased_sem_restrict_term_someqcr) ).

fof(c_0_10,plain,
    ! [X346,X347] :
      ( ( icext(uri_owl_Restriction,X346)
        | ~ iext(uri_owl_minQualifiedCardinality,X346,X347) )
      & ( icext(uri_xml_nonNegativeInteger,X347)
        | ~ iext(uri_owl_minQualifiedCardinality,X346,X347) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_prop_minqualifiedcardinality_ext])])]) ).

fof(c_0_11,plain,
    ! [X283,X284,X285,X286,X288,X289] :
      ( ( iext(X284,X286,esk57_4(X283,X284,X285,X286))
        | ~ icext(X283,X286)
        | ~ iext(uri_owl_minQualifiedCardinality,X283,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
        | ~ iext(uri_owl_onProperty,X283,X284)
        | ~ iext(uri_owl_onClass,X283,X285) )
      & ( icext(X285,esk57_4(X283,X284,X285,X286))
        | ~ icext(X283,X286)
        | ~ iext(uri_owl_minQualifiedCardinality,X283,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
        | ~ iext(uri_owl_onProperty,X283,X284)
        | ~ iext(uri_owl_onClass,X283,X285) )
      & ( ~ iext(X284,X288,X289)
        | ~ icext(X285,X289)
        | icext(X283,X288)
        | ~ iext(uri_owl_minQualifiedCardinality,X283,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
        | ~ iext(uri_owl_onProperty,X283,X284)
        | ~ iext(uri_owl_onClass,X283,X285) ) ),
    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_minqcr_object_001])])])])])]) ).

fof(c_0_12,plain,
    ! [X489] :
      ( ~ icext(uri_owl_Restriction,X489)
      | ic(X489) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_class_restriction_ext])]) ).

cnf(c_0_13,plain,
    ( icext(uri_owl_Restriction,X1)
    | ~ iext(uri_owl_minQualifiedCardinality,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_14,plain,
    iext(uri_owl_minQualifiedCardinality,uri_ex_z2,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)),
    inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_restrict_term_someqcr]) ).

fof(c_0_15,plain,
    ! [X312,X313,X314,X315,X317,X318] :
      ( ( iext(X313,X315,esk63_4(X312,X313,X314,X315))
        | ~ icext(X312,X315)
        | ~ iext(uri_owl_someValuesFrom,X312,X314)
        | ~ iext(uri_owl_onProperty,X312,X313) )
      & ( icext(X314,esk63_4(X312,X313,X314,X315))
        | ~ icext(X312,X315)
        | ~ iext(uri_owl_someValuesFrom,X312,X314)
        | ~ iext(uri_owl_onProperty,X312,X313) )
      & ( ~ iext(X313,X317,X318)
        | ~ icext(X314,X318)
        | icext(X312,X317)
        | ~ iext(uri_owl_someValuesFrom,X312,X314)
        | ~ iext(uri_owl_onProperty,X312,X313) ) ),
    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])])])])])]) ).

cnf(c_0_16,plain,
    ( icext(X1,esk57_4(X2,X3,X1,X4))
    | ~ icext(X2,X4)
    | ~ iext(uri_owl_minQualifiedCardinality,X2,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
    | ~ iext(uri_owl_onProperty,X2,X3)
    | ~ iext(uri_owl_onClass,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_17,plain,
    iext(uri_owl_onClass,uri_ex_z2,uri_ex_c),
    inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_restrict_term_someqcr]) ).

fof(c_0_18,plain,
    ! [X607,X608,X609,X610,X611] :
      ( ( ic(X607)
        | ~ iext(uri_rdfs_subClassOf,X607,X608) )
      & ( ic(X608)
        | ~ iext(uri_rdfs_subClassOf,X607,X608) )
      & ( ~ icext(X607,X609)
        | icext(X608,X609)
        | ~ iext(uri_rdfs_subClassOf,X607,X608) )
      & ( icext(X610,esk121_2(X610,X611))
        | ~ ic(X610)
        | ~ ic(X611)
        | iext(uri_rdfs_subClassOf,X610,X611) )
      & ( ~ icext(X611,esk121_2(X610,X611))
        | ~ ic(X610)
        | ~ ic(X611)
        | iext(uri_rdfs_subClassOf,X610,X611) ) ),
    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])])])])])]) ).

cnf(c_0_19,plain,
    ( ic(X1)
    | ~ icext(uri_owl_Restriction,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_20,plain,
    icext(uri_owl_Restriction,uri_ex_z2),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_21,plain,
    ( icext(X5,X2)
    | ~ iext(X1,X2,X3)
    | ~ icext(X4,X3)
    | ~ iext(uri_owl_someValuesFrom,X5,X4)
    | ~ iext(uri_owl_onProperty,X5,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_22,plain,
    iext(uri_owl_onProperty,uri_ex_z1,uri_ex_p),
    inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_restrict_term_someqcr]) ).

cnf(c_0_23,plain,
    ( icext(uri_ex_c,esk57_4(uri_ex_z2,X1,uri_ex_c,X2))
    | ~ icext(uri_ex_z2,X2)
    | ~ iext(uri_owl_onProperty,uri_ex_z2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_14])]) ).

cnf(c_0_24,plain,
    ( icext(X1,esk121_2(X1,X2))
    | iext(uri_rdfs_subClassOf,X1,X2)
    | ~ ic(X1)
    | ~ ic(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_25,plain,
    ic(uri_ex_z2),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_26,plain,
    ( iext(X1,X2,esk57_4(X3,X1,X4,X2))
    | ~ icext(X3,X2)
    | ~ iext(uri_owl_minQualifiedCardinality,X3,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
    | ~ iext(uri_owl_onProperty,X3,X1)
    | ~ iext(uri_owl_onClass,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_27,plain,
    ( icext(uri_ex_z1,X1)
    | ~ icext(X2,X3)
    | ~ iext(uri_owl_someValuesFrom,uri_ex_z1,X2)
    | ~ iext(uri_ex_p,X1,X3) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_28,plain,
    iext(uri_owl_someValuesFrom,uri_ex_z1,uri_ex_c),
    inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_restrict_term_someqcr]) ).

cnf(c_0_29,plain,
    ( icext(uri_ex_c,esk57_4(uri_ex_z2,X1,uri_ex_c,esk121_2(uri_ex_z2,X2)))
    | iext(uri_rdfs_subClassOf,uri_ex_z2,X2)
    | ~ ic(X2)
    | ~ iext(uri_owl_onProperty,uri_ex_z2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]) ).

cnf(c_0_30,plain,
    iext(uri_owl_onProperty,uri_ex_z2,uri_ex_p),
    inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_restrict_term_someqcr]) ).

cnf(c_0_31,plain,
    ( iext(X1,X2,esk57_4(uri_ex_z2,X1,uri_ex_c,X2))
    | ~ icext(uri_ex_z2,X2)
    | ~ iext(uri_owl_onProperty,uri_ex_z2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_17]),c_0_14])]) ).

fof(c_0_32,plain,
    ! [X78,X79] :
      ( ( icext(uri_owl_Restriction,X78)
        | ~ iext(uri_owl_onProperty,X78,X79) )
      & ( ip(X79)
        | ~ iext(uri_owl_onProperty,X78,X79) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_prop_onproperty_ext])])]) ).

cnf(c_0_33,plain,
    ( icext(uri_ex_z1,X1)
    | ~ icext(uri_ex_c,X2)
    | ~ iext(uri_ex_p,X1,X2) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_34,plain,
    ( icext(uri_ex_c,esk57_4(uri_ex_z2,uri_ex_p,uri_ex_c,esk121_2(uri_ex_z2,X1)))
    | iext(uri_rdfs_subClassOf,uri_ex_z2,X1)
    | ~ ic(X1) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_35,plain,
    ( iext(X1,esk121_2(uri_ex_z2,X2),esk57_4(uri_ex_z2,X1,uri_ex_c,esk121_2(uri_ex_z2,X2)))
    | iext(uri_rdfs_subClassOf,uri_ex_z2,X2)
    | ~ ic(X2)
    | ~ iext(uri_owl_onProperty,uri_ex_z2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_24]),c_0_25])]) ).

cnf(c_0_36,plain,
    ( icext(uri_owl_Restriction,X1)
    | ~ iext(uri_owl_onProperty,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_37,plain,
    ( icext(uri_ex_z1,X1)
    | iext(uri_rdfs_subClassOf,uri_ex_z2,X2)
    | ~ ic(X2)
    | ~ iext(uri_ex_p,X1,esk57_4(uri_ex_z2,uri_ex_p,uri_ex_c,esk121_2(uri_ex_z2,X2))) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_38,plain,
    ( iext(uri_ex_p,esk121_2(uri_ex_z2,X1),esk57_4(uri_ex_z2,uri_ex_p,uri_ex_c,esk121_2(uri_ex_z2,X1)))
    | iext(uri_rdfs_subClassOf,uri_ex_z2,X1)
    | ~ ic(X1) ),
    inference(spm,[status(thm)],[c_0_35,c_0_30]) ).

cnf(c_0_39,plain,
    icext(uri_owl_Restriction,uri_ex_z1),
    inference(spm,[status(thm)],[c_0_36,c_0_22]) ).

fof(c_0_40,plain,
    ! [X600,X601,X602] :
      ( ( ic(X600)
        | ~ iext(uri_rdfs_subClassOf,X600,X601) )
      & ( ic(X601)
        | ~ iext(uri_rdfs_subClassOf,X600,X601) )
      & ( ~ icext(X600,X602)
        | icext(X601,X602)
        | ~ iext(uri_rdfs_subClassOf,X600,X601) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_subclassof_main])])])]) ).

cnf(c_0_41,plain,
    ( iext(uri_rdfs_subClassOf,X2,X1)
    | ~ icext(X1,esk121_2(X2,X1))
    | ~ ic(X2)
    | ~ ic(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_42,plain,
    ( icext(uri_ex_z1,esk121_2(uri_ex_z2,X1))
    | iext(uri_rdfs_subClassOf,uri_ex_z2,X1)
    | ~ ic(X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_43,plain,
    ic(uri_ex_z1),
    inference(spm,[status(thm)],[c_0_19,c_0_39]) ).

cnf(c_0_44,plain,
    ( icext(X3,X2)
    | ~ icext(X1,X2)
    | ~ iext(uri_rdfs_subClassOf,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_45,plain,
    iext(uri_rdfs_subClassOf,uri_ex_z2,uri_ex_z1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_25]),c_0_43])]) ).

fof(c_0_46,plain,
    ! [X47,X48,X49,X50,X51,X52] :
      ( ( ic(X47)
        | ~ iext(uri_owl_equivalentClass,X47,X48) )
      & ( ic(X48)
        | ~ iext(uri_owl_equivalentClass,X47,X48) )
      & ( ~ icext(X47,X49)
        | icext(X48,X49)
        | ~ iext(uri_owl_equivalentClass,X47,X48) )
      & ( ~ icext(X48,X50)
        | icext(X47,X50)
        | ~ iext(uri_owl_equivalentClass,X47,X48) )
      & ( ~ icext(X51,esk1_2(X51,X52))
        | ~ icext(X52,esk1_2(X51,X52))
        | ~ ic(X51)
        | ~ ic(X52)
        | iext(uri_owl_equivalentClass,X51,X52) )
      & ( icext(X51,esk1_2(X51,X52))
        | icext(X52,esk1_2(X51,X52))
        | ~ ic(X51)
        | ~ ic(X52)
        | iext(uri_owl_equivalentClass,X51,X52) ) ),
    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_47,plain,
    ( icext(uri_ex_z1,X1)
    | ~ icext(uri_ex_z2,X1) ),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_48,plain,
    ( icext(X1,esk1_2(X1,X2))
    | icext(X2,esk1_2(X1,X2))
    | iext(uri_owl_equivalentClass,X1,X2)
    | ~ ic(X1)
    | ~ ic(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

fof(c_0_49,negated_conjecture,
    ~ iext(uri_owl_equivalentClass,uri_ex_z1,uri_ex_z2),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conclusion_rdfbased_sem_restrict_term_someqcr])]) ).

cnf(c_0_50,plain,
    ( icext(X1,esk63_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_15]) ).

cnf(c_0_51,plain,
    ( icext(uri_ex_z1,esk1_2(X1,uri_ex_z2))
    | icext(X1,esk1_2(X1,uri_ex_z2))
    | iext(uri_owl_equivalentClass,X1,uri_ex_z2)
    | ~ ic(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_25])]) ).

cnf(c_0_52,negated_conjecture,
    ~ iext(uri_owl_equivalentClass,uri_ex_z1,uri_ex_z2),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_53,plain,
    ( icext(X1,esk63_4(uri_ex_z1,uri_ex_p,X1,X2))
    | ~ icext(uri_ex_z1,X2)
    | ~ iext(uri_owl_someValuesFrom,uri_ex_z1,X1) ),
    inference(spm,[status(thm)],[c_0_50,c_0_22]) ).

cnf(c_0_54,plain,
    icext(uri_ex_z1,esk1_2(uri_ex_z1,uri_ex_z2)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(ef,[status(thm)],[c_0_51]),c_0_43])]),c_0_52]) ).

cnf(c_0_55,plain,
    ( icext(X5,X2)
    | ~ iext(X1,X2,X3)
    | ~ icext(X4,X3)
    | ~ iext(uri_owl_minQualifiedCardinality,X5,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
    | ~ iext(uri_owl_onProperty,X5,X1)
    | ~ iext(uri_owl_onClass,X5,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_56,plain,
    ( icext(X1,esk63_4(uri_ex_z1,uri_ex_p,X1,esk1_2(uri_ex_z1,uri_ex_z2)))
    | ~ iext(uri_owl_someValuesFrom,uri_ex_z1,X1) ),
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_57,plain,
    ( iext(X1,X2,esk63_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_15]) ).

cnf(c_0_58,plain,
    ( icext(uri_ex_z2,X1)
    | ~ icext(uri_ex_c,X2)
    | ~ iext(uri_owl_onProperty,uri_ex_z2,X3)
    | ~ iext(X3,X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_17]),c_0_14])]) ).

cnf(c_0_59,plain,
    icext(uri_ex_c,esk63_4(uri_ex_z1,uri_ex_p,uri_ex_c,esk1_2(uri_ex_z1,uri_ex_z2))),
    inference(spm,[status(thm)],[c_0_56,c_0_28]) ).

cnf(c_0_60,plain,
    ( iext(uri_ex_p,X1,esk63_4(uri_ex_z1,uri_ex_p,X2,X1))
    | ~ icext(uri_ex_z1,X1)
    | ~ iext(uri_owl_someValuesFrom,uri_ex_z1,X2) ),
    inference(spm,[status(thm)],[c_0_57,c_0_22]) ).

cnf(c_0_61,plain,
    ( icext(uri_ex_z2,X1)
    | ~ iext(X2,X1,esk63_4(uri_ex_z1,uri_ex_p,uri_ex_c,esk1_2(uri_ex_z1,uri_ex_z2)))
    | ~ iext(uri_owl_onProperty,uri_ex_z2,X2) ),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_62,plain,
    ( iext(uri_ex_p,esk1_2(uri_ex_z1,uri_ex_z2),esk63_4(uri_ex_z1,uri_ex_p,X1,esk1_2(uri_ex_z1,uri_ex_z2)))
    | ~ iext(uri_owl_someValuesFrom,uri_ex_z1,X1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_54]) ).

cnf(c_0_63,plain,
    ( icext(uri_ex_z2,X1)
    | ~ iext(uri_ex_p,X1,esk63_4(uri_ex_z1,uri_ex_p,uri_ex_c,esk1_2(uri_ex_z1,uri_ex_z2))) ),
    inference(spm,[status(thm)],[c_0_61,c_0_30]) ).

cnf(c_0_64,plain,
    iext(uri_ex_p,esk1_2(uri_ex_z1,uri_ex_z2),esk63_4(uri_ex_z1,uri_ex_p,uri_ex_c,esk1_2(uri_ex_z1,uri_ex_z2))),
    inference(spm,[status(thm)],[c_0_62,c_0_28]) ).

cnf(c_0_65,plain,
    ( iext(uri_owl_equivalentClass,X1,X2)
    | ~ icext(X1,esk1_2(X1,X2))
    | ~ icext(X2,esk1_2(X1,X2))
    | ~ ic(X1)
    | ~ ic(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_66,plain,
    icext(uri_ex_z2,esk1_2(uri_ex_z1,uri_ex_z2)),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_67,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_25]),c_0_43]),c_0_54])]),c_0_52]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SWB108+1 : TPTP v8.1.2. Released v5.2.0.
% 0.13/0.14  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n021.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 2400
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Oct  2 20:28:29 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.53  Running first-order model finding
% 0.20/0.53  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.qymCz79z35/E---3.1_16769.p
% 933.05/145.36  # Version: 3.1pre001
% 933.05/145.36  # Preprocessing class: FSLMSMSLSSSNFFN.
% 933.05/145.36  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 933.05/145.36  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 933.05/145.36  # Starting new_bool_3 with 600s (2) cores
% 933.05/145.36  # Starting new_bool_1 with 600s (2) cores
% 933.05/145.36  # Starting sh5l with 300s (1) cores
% 933.05/145.36  # new_bool_1 with pid 16900 completed with status 8
% 933.05/145.36  # new_bool_3 with pid 16898 completed with status 8
% 933.05/145.36  # sh5l with pid 16901 completed with status 0
% 933.05/145.36  # Result found by sh5l
% 933.05/145.36  # Preprocessing class: FSLMSMSLSSSNFFN.
% 933.05/145.36  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 933.05/145.36  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 933.05/145.36  # Starting new_bool_3 with 600s (2) cores
% 933.05/145.36  # Starting new_bool_1 with 600s (2) cores
% 933.05/145.36  # Starting sh5l with 300s (1) cores
% 933.05/145.36  # SinE strategy is gf500_gu_R04_F100_L20000
% 933.05/145.36  # Search class: FGHSF-FSLM33-SFFFFFNN
% 933.05/145.36  # Scheduled 10 strats onto 1 cores with 300 seconds (300 total)
% 933.05/145.36  # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with 55s (1) cores
% 933.05/145.36  # G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with pid 16929 completed with status 7
% 933.05/145.36  # Starting sh5l with 31s (1) cores
% 933.05/145.36  # sh5l with pid 19299 completed with status 7
% 933.05/145.36  # Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y with 28s (1) cores
% 933.05/145.36  # H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y with pid 20477 completed with status 7
% 933.05/145.36  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 28s (1) cores
% 933.05/145.36  # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 20479 completed with status 7
% 933.05/145.36  # Starting G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with 28s (1) cores
% 933.05/145.36  # G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with pid 20500 completed with status 0
% 933.05/145.36  # Result found by G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S
% 933.05/145.36  # Preprocessing class: FSLMSMSLSSSNFFN.
% 933.05/145.36  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 933.05/145.36  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 933.05/145.36  # Starting new_bool_3 with 600s (2) cores
% 933.05/145.36  # Starting new_bool_1 with 600s (2) cores
% 933.05/145.36  # Starting sh5l with 300s (1) cores
% 933.05/145.36  # SinE strategy is gf500_gu_R04_F100_L20000
% 933.05/145.36  # Search class: FGHSF-FSLM33-SFFFFFNN
% 933.05/145.36  # Scheduled 10 strats onto 1 cores with 300 seconds (300 total)
% 933.05/145.36  # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with 55s (1) cores
% 933.05/145.36  # G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with pid 16929 completed with status 7
% 933.05/145.36  # Starting sh5l with 31s (1) cores
% 933.05/145.36  # sh5l with pid 19299 completed with status 7
% 933.05/145.36  # Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y with 28s (1) cores
% 933.05/145.36  # H----_102_C18_F1_PI_AE_CS_SP_PS_S0Y with pid 20477 completed with status 7
% 933.05/145.36  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 28s (1) cores
% 933.05/145.36  # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 20479 completed with status 7
% 933.05/145.36  # Starting G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with 28s (1) cores
% 933.05/145.36  # Preprocessing time       : 0.009 s
% 933.05/145.36  # Presaturation interreduction done
% 933.05/145.36  
% 933.05/145.36  # Proof found!
% 933.05/145.36  # SZS status Theorem
% 933.05/145.36  # SZS output start CNFRefutation
% See solution above
% 933.16/145.36  # Parsed axioms                        : 560
% 933.16/145.36  # Removed by relevancy pruning/SinE    : 274
% 933.16/145.36  # Initial clauses                      : 686
% 933.16/145.36  # Removed in clause preprocessing      : 0
% 933.16/145.36  # Initial clauses in saturation        : 686
% 933.16/145.36  # Processed clauses                    : 9820
% 933.16/145.36  # ...of these trivial                  : 211
% 933.16/145.36  # ...subsumed                          : 4103
% 933.16/145.36  # ...remaining for further processing  : 5506
% 933.16/145.36  # Other redundant clauses eliminated   : 8
% 933.16/145.36  # Clauses deleted for lack of memory   : 0
% 933.16/145.36  # Backward-subsumed                    : 15
% 933.16/145.36  # Backward-rewritten                   : 1
% 933.16/145.36  # Generated clauses                    : 28794
% 933.16/145.36  # ...of the previous two non-redundant : 23959
% 933.16/145.36  # ...aggressively subsumed             : 0
% 933.16/145.36  # Contextual simplify-reflections      : 182
% 933.16/145.36  # Paramodulations                      : 28778
% 933.16/145.36  # Factorizations                       : 8
% 933.16/145.36  # NegExts                              : 0
% 933.16/145.36  # Equation resolutions                 : 8
% 933.16/145.36  # Total rewrite steps                  : 7423
% 933.16/145.36  # Propositional unsat checks           : 0
% 933.16/145.36  #    Propositional check models        : 0
% 933.16/145.36  #    Propositional check unsatisfiable : 0
% 933.16/145.36  #    Propositional clauses             : 0
% 933.16/145.36  #    Propositional clauses after purity: 0
% 933.16/145.36  #    Propositional unsat core size     : 0
% 933.16/145.36  #    Propositional preprocessing time  : 0.000
% 933.16/145.36  #    Propositional encoding time       : 0.000
% 933.16/145.36  #    Propositional solver time         : 0.000
% 933.16/145.36  #    Success case prop preproc time    : 0.000
% 933.16/145.36  #    Success case prop encoding time   : 0.000
% 933.16/145.36  #    Success case prop solver time     : 0.000
% 933.16/145.36  # Current number of processed clauses  : 4838
% 933.16/145.36  #    Positive orientable unit clauses  : 569
% 933.16/145.36  #    Positive unorientable unit clauses: 0
% 933.16/145.36  #    Negative unit clauses             : 1
% 933.16/145.36  #    Non-unit-clauses                  : 4268
% 933.16/145.36  # Current number of unprocessed clauses: 15364
% 933.16/145.36  # ...number of literals in the above   : 121855
% 933.16/145.36  # Current number of archived formulas  : 0
% 933.16/145.36  # Current number of archived clauses   : 660
% 933.16/145.36  # Clause-clause subsumption calls (NU) : 5390914
% 933.16/145.36  # Rec. Clause-clause subsumption calls : 1610091
% 933.16/145.36  # Non-unit clause-clause subsumptions  : 4300
% 933.16/145.36  # Unit Clause-clause subsumption calls : 82355
% 933.16/145.36  # Rewrite failures with RHS unbound    : 0
% 933.16/145.36  # BW rewrite match attempts            : 235
% 933.16/145.36  # BW rewrite match successes           : 1
% 933.16/145.36  # Condensation attempts                : 0
% 933.16/145.36  # Condensation successes               : 0
% 933.16/145.36  # Termbank termtop insertions          : 858771
% 933.16/145.36  
% 933.16/145.36  # -------------------------------------------------
% 933.16/145.36  # User time                : 143.114 s
% 933.16/145.36  # System time              : 1.106 s
% 933.16/145.36  # Total time               : 144.219 s
% 933.16/145.36  # Maximum resident set size: 4440 pages
% 933.16/145.36  
% 933.16/145.36  # -------------------------------------------------
% 933.16/145.36  # User time                : 499.144 s
% 933.16/145.36  # System time              : 1.215 s
% 933.16/145.36  # Total time               : 500.359 s
% 933.16/145.36  # Maximum resident set size: 2236 pages
% 933.16/145.36  % E---3.1 exiting
%------------------------------------------------------------------------------