TSTP Solution File: SWB105+1 by E-SAT---3.2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.2.0
% Problem  : SWB105+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d SAT

% Computer : n013.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 : Mon Jun 24 16:08:47 EDT 2024

% Result   : Theorem 85.94s 11.43s
% Output   : CNFRefutation 85.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   90 (  22 unt;   0 def)
%            Number of atoms       :  299 (   0 equ)
%            Maximal formula atoms :   20 (   3 avg)
%            Number of connectives :  360 ( 151   ~; 155   |;  37   &)
%                                         (   8 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 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   :  156 (   4 sgn  61   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
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.AJtL0mmipP/E---3.1_4184.p',owl_restrict_somevaluesfrom) ).

fof(owl_bool_complementof_class,axiom,
    ! [X11,X5] :
      ( iext(uri_owl_complementOf,X11,X5)
     => ( ic(X11)
        & ic(X5)
        & ! [X4] :
            ( icext(X11,X4)
          <=> ~ icext(X5,X4) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.AJtL0mmipP/E---3.1_4184.p',owl_bool_complementof_class) ).

fof(premise_rdfbased_sem_restrict_term_sameall,axiom,
    ( iext(uri_owl_complementOf,uri_ex_nz2,uri_ex_z2)
    & iext(uri_owl_complementOf,uri_ex_nc,uri_ex_c)
    & iext(uri_owl_someValuesFrom,uri_ex_z2,uri_ex_c)
    & iext(uri_owl_onProperty,uri_ex_z2,uri_ex_p)
    & iext(uri_owl_allValuesFrom,uri_ex_z1,uri_ex_nc)
    & iext(uri_owl_onProperty,uri_ex_z1,uri_ex_p) ),
    file('/export/starexec/sandbox2/tmp/tmp.AJtL0mmipP/E---3.1_4184.p',premise_rdfbased_sem_restrict_term_sameall) ).

fof(owl_restrict_allvaluesfrom,axiom,
    ! [X11,X2,X5] :
      ( ( iext(uri_owl_allValuesFrom,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.AJtL0mmipP/E---3.1_4184.p',owl_restrict_allvaluesfrom) ).

fof(rdfs_ic_def,axiom,
    ! [X4] :
      ( ic(X4)
    <=> icext(uri_rdfs_Class,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.AJtL0mmipP/E---3.1_4184.p',rdfs_ic_def) ).

fof(owl_class_restriction_ext,axiom,
    ! [X4] :
      ( icext(uri_owl_Restriction,X4)
     => ic(X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.AJtL0mmipP/E---3.1_4184.p',owl_class_restriction_ext) ).

fof(owl_prop_complementof_ext,axiom,
    ! [X4,X7] :
      ( iext(uri_owl_complementOf,X4,X7)
     => ( ic(X4)
        & ic(X7) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.AJtL0mmipP/E---3.1_4184.p',owl_prop_complementof_ext) ).

fof(owl_rdfsext_domain,axiom,
    ! [X2,X5] :
      ( iext(uri_rdfs_domain,X2,X5)
    <=> ( ip(X2)
        & ic(X5)
        & ! [X4,X7] :
            ( iext(X2,X4,X7)
           => icext(X5,X4) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.AJtL0mmipP/E---3.1_4184.p',owl_rdfsext_domain) ).

fof(owl_prop_onproperty_ext,axiom,
    ! [X4,X7] :
      ( iext(uri_owl_onProperty,X4,X7)
     => ( icext(uri_owl_Restriction,X4)
        & ip(X7) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.AJtL0mmipP/E---3.1_4184.p',owl_prop_onproperty_ext) ).

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.AJtL0mmipP/E---3.1_4184.p',owl_eqdis_equivalentclass) ).

fof(conclusion_rdfbased_sem_restrict_term_sameall,conjecture,
    iext(uri_owl_equivalentClass,uri_ex_z1,uri_ex_nz2),
    file('/export/starexec/sandbox2/tmp/tmp.AJtL0mmipP/E---3.1_4184.p',conclusion_rdfbased_sem_restrict_term_sameall) ).

fof(owl_class_classrdfs_type,axiom,
    ic(uri_rdfs_Class),
    file('/export/starexec/sandbox2/tmp/tmp.AJtL0mmipP/E---3.1_4184.p',owl_class_classrdfs_type) ).

fof(owl_prop_onproperty_type,axiom,
    ip(uri_owl_onProperty),
    file('/export/starexec/sandbox2/tmp/tmp.AJtL0mmipP/E---3.1_4184.p',owl_prop_onproperty_type) ).

fof(c_0_13,plain,
    ! [X321,X322,X323,X324,X326,X327] :
      ( ( iext(X322,X324,esk64_4(X321,X322,X323,X324))
        | ~ icext(X321,X324)
        | ~ iext(uri_owl_someValuesFrom,X321,X323)
        | ~ iext(uri_owl_onProperty,X321,X322) )
      & ( icext(X323,esk64_4(X321,X322,X323,X324))
        | ~ icext(X321,X324)
        | ~ iext(uri_owl_someValuesFrom,X321,X323)
        | ~ iext(uri_owl_onProperty,X321,X322) )
      & ( ~ iext(X322,X326,X327)
        | ~ icext(X323,X327)
        | icext(X321,X326)
        | ~ iext(uri_owl_someValuesFrom,X321,X323)
        | ~ iext(uri_owl_onProperty,X321,X322) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[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_14,plain,
    ! [X11,X5] :
      ( iext(uri_owl_complementOf,X11,X5)
     => ( ic(X11)
        & ic(X5)
        & ! [X4] :
            ( icext(X11,X4)
          <=> ~ icext(X5,X4) ) ) ),
    inference(fof_simplification,[status(thm)],[owl_bool_complementof_class]) ).

cnf(c_0_15,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_13]) ).

cnf(c_0_16,plain,
    iext(uri_owl_onProperty,uri_ex_z2,uri_ex_p),
    inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_restrict_term_sameall]) ).

fof(c_0_17,plain,
    ! [X330,X331,X332] :
      ( ( ic(X330)
        | ~ iext(uri_owl_complementOf,X330,X331) )
      & ( ic(X331)
        | ~ iext(uri_owl_complementOf,X330,X331) )
      & ( ~ icext(X330,X332)
        | ~ icext(X331,X332)
        | ~ iext(uri_owl_complementOf,X330,X331) )
      & ( icext(X331,X332)
        | icext(X330,X332)
        | ~ iext(uri_owl_complementOf,X330,X331) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])])]) ).

fof(c_0_18,plain,
    ! [X312,X313,X314,X315,X316,X317] :
      ( ( ~ icext(X312,X315)
        | ~ iext(X313,X315,X316)
        | icext(X314,X316)
        | ~ iext(uri_owl_allValuesFrom,X312,X314)
        | ~ iext(uri_owl_onProperty,X312,X313) )
      & ( iext(X313,X317,esk63_4(X312,X313,X314,X317))
        | icext(X312,X317)
        | ~ iext(uri_owl_allValuesFrom,X312,X314)
        | ~ iext(uri_owl_onProperty,X312,X313) )
      & ( ~ icext(X314,esk63_4(X312,X313,X314,X317))
        | icext(X312,X317)
        | ~ iext(uri_owl_allValuesFrom,X312,X314)
        | ~ iext(uri_owl_onProperty,X312,X313) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[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_allvaluesfrom])])])])])])]) ).

cnf(c_0_19,plain,
    ( icext(uri_ex_z2,X1)
    | ~ icext(X2,X3)
    | ~ iext(uri_owl_someValuesFrom,uri_ex_z2,X2)
    | ~ iext(uri_ex_p,X1,X3) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_20,plain,
    iext(uri_owl_someValuesFrom,uri_ex_z2,uri_ex_c),
    inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_restrict_term_sameall]) ).

cnf(c_0_21,plain,
    ( icext(X1,X2)
    | icext(X3,X2)
    | ~ iext(uri_owl_complementOf,X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_22,plain,
    iext(uri_owl_complementOf,uri_ex_nc,uri_ex_c),
    inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_restrict_term_sameall]) ).

cnf(c_0_23,plain,
    ( iext(X1,X2,esk63_4(X3,X1,X4,X2))
    | icext(X3,X2)
    | ~ iext(uri_owl_allValuesFrom,X3,X4)
    | ~ iext(uri_owl_onProperty,X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_24,plain,
    iext(uri_owl_allValuesFrom,uri_ex_z1,uri_ex_nc),
    inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_restrict_term_sameall]) ).

cnf(c_0_25,plain,
    ( icext(X2,X4)
    | ~ icext(X1,esk63_4(X2,X3,X1,X4))
    | ~ iext(uri_owl_allValuesFrom,X2,X1)
    | ~ iext(uri_owl_onProperty,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_26,plain,
    ( icext(uri_ex_z2,X1)
    | ~ icext(uri_ex_c,X2)
    | ~ iext(uri_ex_p,X1,X2) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_27,plain,
    ( icext(uri_ex_c,X1)
    | icext(uri_ex_nc,X1) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_28,plain,
    ( icext(uri_ex_z1,X1)
    | iext(X2,X1,esk63_4(uri_ex_z1,X2,uri_ex_nc,X1))
    | ~ iext(uri_owl_onProperty,uri_ex_z1,X2) ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_29,plain,
    iext(uri_owl_onProperty,uri_ex_z1,uri_ex_p),
    inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_restrict_term_sameall]) ).

cnf(c_0_30,plain,
    ( icext(uri_ex_z1,X1)
    | ~ icext(uri_ex_nc,esk63_4(uri_ex_z1,X2,uri_ex_nc,X1))
    | ~ iext(uri_owl_onProperty,uri_ex_z1,X2) ),
    inference(spm,[status(thm)],[c_0_25,c_0_24]) ).

fof(c_0_31,plain,
    ! [X625] :
      ( ( ~ ic(X625)
        | icext(uri_rdfs_Class,X625) )
      & ( ~ icext(uri_rdfs_Class,X625)
        | ic(X625) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_ic_def])])]) ).

fof(c_0_32,plain,
    ! [X474] :
      ( ~ icext(uri_owl_Restriction,X474)
      | ic(X474) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_class_restriction_ext])])]) ).

cnf(c_0_33,plain,
    ( ~ icext(X1,X2)
    | ~ icext(X3,X2)
    | ~ iext(uri_owl_complementOf,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_34,plain,
    iext(uri_owl_complementOf,uri_ex_nz2,uri_ex_z2),
    inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_restrict_term_sameall]) ).

cnf(c_0_35,plain,
    ( icext(uri_ex_nc,X1)
    | icext(uri_ex_z2,X2)
    | ~ iext(uri_ex_p,X2,X1) ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_36,plain,
    ( icext(uri_ex_z1,X1)
    | iext(uri_ex_p,X1,esk63_4(uri_ex_z1,uri_ex_p,uri_ex_nc,X1)) ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_37,plain,
    ( icext(uri_ex_z1,X1)
    | ~ icext(uri_ex_nc,esk63_4(uri_ex_z1,uri_ex_p,uri_ex_nc,X1)) ),
    inference(spm,[status(thm)],[c_0_30,c_0_29]) ).

fof(c_0_38,plain,
    ! [X328,X329] :
      ( ( ic(X328)
        | ~ iext(uri_owl_complementOf,X328,X329) )
      & ( ic(X329)
        | ~ iext(uri_owl_complementOf,X328,X329) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_prop_complementof_ext])])])]) ).

fof(c_0_39,plain,
    ! [X62,X63,X64,X65,X66,X67] :
      ( ( ip(X62)
        | ~ iext(uri_rdfs_domain,X62,X63) )
      & ( ic(X63)
        | ~ iext(uri_rdfs_domain,X62,X63) )
      & ( ~ iext(X62,X64,X65)
        | icext(X63,X64)
        | ~ iext(uri_rdfs_domain,X62,X63) )
      & ( iext(X66,esk2_2(X66,X67),esk3_2(X66,X67))
        | ~ ip(X66)
        | ~ ic(X67)
        | iext(uri_rdfs_domain,X66,X67) )
      & ( ~ icext(X67,esk2_2(X66,X67))
        | ~ ip(X66)
        | ~ ic(X67)
        | iext(uri_rdfs_domain,X66,X67) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[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_domain])])])])])])]) ).

cnf(c_0_40,plain,
    ( icext(uri_rdfs_Class,X1)
    | ~ ic(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_41,plain,
    ( ic(X1)
    | ~ icext(uri_owl_Restriction,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

fof(c_0_42,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(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_prop_onproperty_ext])])])]) ).

cnf(c_0_43,plain,
    ( ~ icext(uri_ex_z2,X1)
    | ~ icext(uri_ex_nz2,X1) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_44,plain,
    ( icext(uri_ex_z1,X1)
    | icext(uri_ex_z2,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]) ).

fof(c_0_45,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(fof_nnf,[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_46,plain,
    ( ic(X1)
    | ~ iext(uri_owl_complementOf,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

fof(c_0_47,negated_conjecture,
    ~ iext(uri_owl_equivalentClass,uri_ex_z1,uri_ex_nz2),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conclusion_rdfbased_sem_restrict_term_sameall])]) ).

cnf(c_0_48,plain,
    ( iext(uri_rdfs_domain,X2,X1)
    | ~ icext(X1,esk2_2(X2,X1))
    | ~ ip(X2)
    | ~ ic(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_49,plain,
    ( icext(uri_rdfs_Class,X1)
    | ~ icext(uri_owl_Restriction,X1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_50,plain,
    ic(uri_rdfs_Class),
    inference(split_conjunct,[status(thm)],[owl_class_classrdfs_type]) ).

cnf(c_0_51,plain,
    ( icext(uri_owl_Restriction,X1)
    | ~ iext(uri_owl_onProperty,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_52,plain,
    ( iext(X1,esk2_2(X1,X2),esk3_2(X1,X2))
    | iext(uri_rdfs_domain,X1,X2)
    | ~ ip(X1)
    | ~ ic(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_53,plain,
    ip(uri_owl_onProperty),
    inference(split_conjunct,[status(thm)],[owl_prop_onproperty_type]) ).

cnf(c_0_54,plain,
    ( icext(uri_ex_z1,X1)
    | ~ icext(uri_ex_nz2,X1) ),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_55,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_45]) ).

cnf(c_0_56,plain,
    ic(uri_ex_nz2),
    inference(spm,[status(thm)],[c_0_46,c_0_34]) ).

fof(c_0_57,negated_conjecture,
    ~ iext(uri_owl_equivalentClass,uri_ex_z1,uri_ex_nz2),
    inference(fof_nnf,[status(thm)],[c_0_47]) ).

cnf(c_0_58,plain,
    ( iext(uri_rdfs_domain,X1,uri_rdfs_Class)
    | ~ icext(uri_owl_Restriction,esk2_2(X1,uri_rdfs_Class))
    | ~ ip(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50])]) ).

cnf(c_0_59,plain,
    ( icext(uri_owl_Restriction,esk2_2(uri_owl_onProperty,X1))
    | iext(uri_rdfs_domain,uri_owl_onProperty,X1)
    | ~ ic(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53])]) ).

cnf(c_0_60,plain,
    ( icext(X5,X4)
    | ~ icext(X1,X2)
    | ~ iext(X3,X2,X4)
    | ~ iext(uri_owl_allValuesFrom,X1,X5)
    | ~ iext(uri_owl_onProperty,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_61,plain,
    ( icext(uri_ex_z1,esk1_2(X1,uri_ex_nz2))
    | icext(X1,esk1_2(X1,uri_ex_nz2))
    | iext(uri_owl_equivalentClass,X1,uri_ex_nz2)
    | ~ ic(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56])]) ).

cnf(c_0_62,negated_conjecture,
    ~ iext(uri_owl_equivalentClass,uri_ex_z1,uri_ex_nz2),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_63,plain,
    ( icext(X4,X2)
    | ~ iext(X1,X2,X3)
    | ~ iext(uri_rdfs_domain,X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_64,plain,
    iext(uri_rdfs_domain,uri_owl_onProperty,uri_rdfs_Class),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_53]),c_0_50])]) ).

cnf(c_0_65,plain,
    ( icext(uri_ex_nc,X1)
    | ~ icext(uri_ex_z1,X2)
    | ~ iext(uri_owl_onProperty,uri_ex_z1,X3)
    | ~ iext(X3,X2,X1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_24]) ).

cnf(c_0_66,plain,
    ( icext(uri_ex_z1,esk1_2(uri_ex_z1,uri_ex_nz2))
    | ~ ic(uri_ex_z1) ),
    inference(sr,[status(thm)],[inference(ef,[status(thm)],[c_0_61]),c_0_62]) ).

cnf(c_0_67,plain,
    ( icext(uri_rdfs_Class,X1)
    | ~ iext(uri_owl_onProperty,X1,X2) ),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_68,plain,
    ( icext(uri_ex_nc,X1)
    | ~ ic(uri_ex_z1)
    | ~ iext(X2,esk1_2(uri_ex_z1,uri_ex_nz2),X1)
    | ~ iext(uri_owl_onProperty,uri_ex_z1,X2) ),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_69,plain,
    ( ic(X1)
    | ~ icext(uri_rdfs_Class,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_70,plain,
    icext(uri_rdfs_Class,uri_ex_z1),
    inference(spm,[status(thm)],[c_0_67,c_0_29]) ).

cnf(c_0_71,plain,
    ( icext(uri_ex_nc,X1)
    | ~ iext(X2,esk1_2(uri_ex_z1,uri_ex_nz2),X1)
    | ~ iext(uri_owl_onProperty,uri_ex_z1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70])]) ).

cnf(c_0_72,plain,
    ( ~ icext(uri_ex_c,X1)
    | ~ icext(uri_ex_nc,X1) ),
    inference(spm,[status(thm)],[c_0_33,c_0_22]) ).

cnf(c_0_73,plain,
    ( icext(X1,esk64_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_13]) ).

cnf(c_0_74,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_45]) ).

cnf(c_0_75,plain,
    ( icext(uri_ex_z2,X1)
    | icext(uri_ex_nz2,X1) ),
    inference(spm,[status(thm)],[c_0_21,c_0_34]) ).

cnf(c_0_76,plain,
    ( icext(uri_ex_nc,X1)
    | ~ iext(uri_ex_p,esk1_2(uri_ex_z1,uri_ex_nz2),X1) ),
    inference(spm,[status(thm)],[c_0_71,c_0_29]) ).

cnf(c_0_77,plain,
    ( ~ icext(uri_ex_nc,esk64_4(X1,X2,uri_ex_c,X3))
    | ~ icext(X1,X3)
    | ~ iext(uri_owl_someValuesFrom,X1,uri_ex_c)
    | ~ iext(uri_owl_onProperty,X1,X2) ),
    inference(spm,[status(thm)],[c_0_72,c_0_73]) ).

cnf(c_0_78,plain,
    ( icext(uri_ex_z2,esk1_2(X1,uri_ex_nz2))
    | iext(uri_owl_equivalentClass,X1,uri_ex_nz2)
    | ~ ic(X1)
    | ~ icext(X1,esk1_2(X1,uri_ex_nz2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_56])]) ).

cnf(c_0_79,plain,
    icext(uri_ex_z1,esk1_2(uri_ex_z1,uri_ex_nz2)),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_36]),c_0_37]) ).

cnf(c_0_80,plain,
    ( ~ icext(uri_ex_nc,esk64_4(uri_ex_z2,X1,uri_ex_c,X2))
    | ~ icext(uri_ex_z2,X2)
    | ~ iext(uri_owl_onProperty,uri_ex_z2,X1) ),
    inference(spm,[status(thm)],[c_0_77,c_0_20]) ).

cnf(c_0_81,plain,
    ( icext(uri_ex_z2,esk1_2(uri_ex_z1,uri_ex_nz2))
    | ~ ic(uri_ex_z1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_62]) ).

cnf(c_0_82,plain,
    ( ~ ic(uri_ex_z1)
    | ~ icext(uri_ex_nc,esk64_4(uri_ex_z2,X1,uri_ex_c,esk1_2(uri_ex_z1,uri_ex_nz2)))
    | ~ iext(uri_owl_onProperty,uri_ex_z2,X1) ),
    inference(spm,[status(thm)],[c_0_80,c_0_81]) ).

cnf(c_0_83,plain,
    ( ~ icext(uri_ex_nc,esk64_4(uri_ex_z2,X1,uri_ex_c,esk1_2(uri_ex_z1,uri_ex_nz2)))
    | ~ iext(uri_owl_onProperty,uri_ex_z2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_69]),c_0_70])]) ).

cnf(c_0_84,plain,
    ( iext(X1,X2,esk64_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_13]) ).

cnf(c_0_85,plain,
    ~ icext(uri_ex_nc,esk64_4(uri_ex_z2,uri_ex_p,uri_ex_c,esk1_2(uri_ex_z1,uri_ex_nz2))),
    inference(spm,[status(thm)],[c_0_83,c_0_16]) ).

cnf(c_0_86,plain,
    ( icext(uri_ex_nc,esk64_4(X1,uri_ex_p,X2,esk1_2(uri_ex_z1,uri_ex_nz2)))
    | ~ icext(X1,esk1_2(uri_ex_z1,uri_ex_nz2))
    | ~ iext(uri_owl_onProperty,X1,uri_ex_p)
    | ~ iext(uri_owl_someValuesFrom,X1,X2) ),
    inference(spm,[status(thm)],[c_0_76,c_0_84]) ).

cnf(c_0_87,plain,
    ~ icext(uri_ex_z2,esk1_2(uri_ex_z1,uri_ex_nz2)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_16]),c_0_20])]) ).

cnf(c_0_88,plain,
    ~ ic(uri_ex_z1),
    inference(spm,[status(thm)],[c_0_87,c_0_81]) ).

cnf(c_0_89,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_69]),c_0_70])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SWB105+1 : TPTP v8.2.0. Released v5.2.0.
% 0.12/0.13  % Command    : run_E %s %d SAT
% 0.13/0.34  % Computer : n013.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Jun 18 17:35:09 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.21/0.53  Running first-order model finding
% 0.21/0.53  Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.AJtL0mmipP/E---3.1_4184.p
% 85.94/11.43  # Version: 3.2.0
% 85.94/11.43  # Preprocessing class: FSLMSMSLSSSNFFN.
% 85.94/11.43  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 85.94/11.43  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 85.94/11.43  # Starting new_bool_3 with 600s (2) cores
% 85.94/11.43  # Starting new_bool_1 with 600s (2) cores
% 85.94/11.43  # Starting sh5l with 300s (1) cores
% 85.94/11.43  # sh5l with pid 4298 completed with status 0
% 85.94/11.43  # Result found by sh5l
% 85.94/11.43  # Preprocessing class: FSLMSMSLSSSNFFN.
% 85.94/11.43  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 85.94/11.43  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 85.94/11.43  # Starting new_bool_3 with 600s (2) cores
% 85.94/11.43  # Starting new_bool_1 with 600s (2) cores
% 85.94/11.43  # Starting sh5l with 300s (1) cores
% 85.94/11.43  # SinE strategy is gf500_gu_R04_F100_L20000
% 85.94/11.43  # Search class: FGHSF-FSLM33-SFFFFFNN
% 85.94/11.43  # Scheduled 10 strats onto 1 cores with 300 seconds (300 total)
% 85.94/11.43  # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with 55s (1) cores
% 85.94/11.43  # G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with pid 4332 completed with status 0
% 85.94/11.43  # Result found by G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U
% 85.94/11.43  # Preprocessing class: FSLMSMSLSSSNFFN.
% 85.94/11.43  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 85.94/11.43  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 85.94/11.43  # Starting new_bool_3 with 600s (2) cores
% 85.94/11.43  # Starting new_bool_1 with 600s (2) cores
% 85.94/11.43  # Starting sh5l with 300s (1) cores
% 85.94/11.43  # SinE strategy is gf500_gu_R04_F100_L20000
% 85.94/11.43  # Search class: FGHSF-FSLM33-SFFFFFNN
% 85.94/11.43  # Scheduled 10 strats onto 1 cores with 300 seconds (300 total)
% 85.94/11.43  # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with 55s (1) cores
% 85.94/11.43  # Preprocessing time       : 0.014 s
% 85.94/11.43  # Presaturation interreduction done
% 85.94/11.43  
% 85.94/11.43  # Proof found!
% 85.94/11.43  # SZS status Theorem
% 85.94/11.43  # SZS output start CNFRefutation
% See solution above
% 85.94/11.43  # Parsed axioms                        : 560
% 85.94/11.43  # Removed by relevancy pruning/SinE    : 271
% 85.94/11.43  # Initial clauses                      : 694
% 85.94/11.43  # Removed in clause preprocessing      : 0
% 85.94/11.43  # Initial clauses in saturation        : 694
% 85.94/11.43  # Processed clauses                    : 19178
% 85.94/11.43  # ...of these trivial                  : 158
% 85.94/11.43  # ...subsumed                          : 6222
% 85.94/11.43  # ...remaining for further processing  : 12798
% 85.94/11.43  # Other redundant clauses eliminated   : 8
% 85.94/11.43  # Clauses deleted for lack of memory   : 0
% 85.94/11.43  # Backward-subsumed                    : 239
% 85.94/11.43  # Backward-rewritten                   : 9
% 85.94/11.43  # Generated clauses                    : 79618
% 85.94/11.43  # ...of the previous two non-redundant : 76976
% 85.94/11.43  # ...aggressively subsumed             : 0
% 85.94/11.43  # Contextual simplify-reflections      : 453
% 85.94/11.43  # Paramodulations                      : 79600
% 85.94/11.43  # Factorizations                       : 10
% 85.94/11.43  # NegExts                              : 0
% 85.94/11.43  # Equation resolutions                 : 8
% 85.94/11.43  # Disequality decompositions           : 0
% 85.94/11.43  # Total rewrite steps                  : 9474
% 85.94/11.43  # ...of those cached                   : 9234
% 85.94/11.43  # Propositional unsat checks           : 0
% 85.94/11.43  #    Propositional check models        : 0
% 85.94/11.43  #    Propositional check unsatisfiable : 0
% 85.94/11.43  #    Propositional clauses             : 0
% 85.94/11.43  #    Propositional clauses after purity: 0
% 85.94/11.43  #    Propositional unsat core size     : 0
% 85.94/11.43  #    Propositional preprocessing time  : 0.000
% 85.94/11.43  #    Propositional encoding time       : 0.000
% 85.94/11.43  #    Propositional solver time         : 0.000
% 85.94/11.43  #    Success case prop preproc time    : 0.000
% 85.94/11.43  #    Success case prop encoding time   : 0.000
% 85.94/11.43  #    Success case prop solver time     : 0.000
% 85.94/11.43  # Current number of processed clauses  : 11892
% 85.94/11.43  #    Positive orientable unit clauses  : 326
% 85.94/11.43  #    Positive unorientable unit clauses: 0
% 85.94/11.43  #    Negative unit clauses             : 4
% 85.94/11.43  #    Non-unit-clauses                  : 11562
% 85.94/11.43  # Current number of unprocessed clauses: 58733
% 85.94/11.43  # ...number of literals in the above   : 454938
% 85.94/11.43  # Current number of archived formulas  : 0
% 85.94/11.43  # Current number of archived clauses   : 898
% 85.94/11.43  # Clause-clause subsumption calls (NU) : 23483574
% 85.94/11.43  # Rec. Clause-clause subsumption calls : 3722421
% 85.94/11.43  # Non-unit clause-clause subsumptions  : 6896
% 85.94/11.43  # Unit Clause-clause subsumption calls : 88978
% 85.94/11.43  # Rewrite failures with RHS unbound    : 0
% 85.94/11.43  # BW rewrite match attempts            : 167
% 85.94/11.43  # BW rewrite match successes           : 7
% 85.94/11.43  # Condensation attempts                : 0
% 85.94/11.43  # Condensation successes               : 0
% 85.94/11.43  # Termbank termtop insertions          : 2103264
% 85.94/11.43  # Search garbage collected termcells   : 12580
% 85.94/11.43  
% 85.94/11.43  # -------------------------------------------------
% 85.94/11.43  # User time                : 10.642 s
% 85.94/11.43  # System time              : 0.114 s
% 85.94/11.43  # Total time               : 10.756 s
% 85.94/11.43  # Maximum resident set size: 4512 pages
% 85.94/11.43  
% 85.94/11.43  # -------------------------------------------------
% 85.94/11.43  # User time                : 10.654 s
% 85.94/11.43  # System time              : 0.118 s
% 85.94/11.43  # Total time               : 10.772 s
% 85.94/11.43  # Maximum resident set size: 2228 pages
% 85.94/11.43  % E---3.1 exiting
% 85.94/11.43  % E exiting
%------------------------------------------------------------------------------