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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SWB062+1 : TPTP v9.2.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n020.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  5 05:17:29 PM UTC 2026

% Result   : Theorem 35.81s 20.79s
% Output   : CNFRefutation 36.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   70 (  29 unt;   0 def)
%            Number of atoms       :  255 (  20 equ)
%            Maximal formula atoms :   26 (   3 avg)
%            Number of connectives :  282 (  97   ~; 105   |;  68   &)
%                                         (   7 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   32 (  32 usr;  23 con; 0-3 aty)
%            Number of variables   :  108 (   6 sgn  56   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
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/sandbox/benchmark/Axioms/SWB001+0.ax',owl_rdfsext_domain) ).

fof(premise_rdfbased_sem_eqdis_disprop_ext,axiom,
    ? [X37,X38,X42,X43] :
      ( iext(uri_rdfs_domain,uri_ex_p1,uri_ex_x1)
      & iext(uri_rdfs_range,uri_ex_p1,uri_ex_y1)
      & iext(uri_ex_p2,uri_ex_s2,uri_ex_o2)
      & iext(uri_owl_oneOf,uri_ex_y1,X42)
      & iext(uri_rdf_first,X42,uri_ex_o1)
      & iext(uri_rdf_rest,X42,uri_rdf_nil)
      & iext(uri_rdf_first,X37,uri_ex_s2)
      & iext(uri_rdf_rest,X37,uri_rdf_nil)
      & iext(uri_rdfs_domain,uri_ex_p2,uri_ex_x2)
      & iext(uri_rdfs_range,uri_ex_p2,uri_ex_y2)
      & iext(uri_owl_differentFrom,uri_ex_o1,uri_ex_o2)
      & iext(uri_owl_oneOf,uri_ex_x1,X38)
      & iext(uri_owl_oneOf,uri_ex_y2,X43)
      & iext(uri_rdf_first,X43,uri_ex_o2)
      & iext(uri_rdf_rest,X43,uri_rdf_nil)
      & iext(uri_ex_p1,uri_ex_s1,uri_ex_o1)
      & iext(uri_owl_differentFrom,uri_ex_s1,uri_ex_s2)
      & iext(uri_rdf_first,X38,uri_ex_s1)
      & iext(uri_rdf_rest,X38,uri_rdf_nil)
      & iext(uri_owl_oneOf,uri_ex_x2,X37) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_rdfbased_sem_eqdis_disprop_ext) ).

fof(owl_enum_class_001,axiom,
    ! [X11,X12,X21] :
      ( ( iext(uri_rdf_first,X12,X21)
        & iext(uri_rdf_rest,X12,uri_rdf_nil) )
     => ( iext(uri_owl_oneOf,X11,X12)
      <=> ( ic(X11)
          & ! [X4] :
              ( icext(X11,X4)
            <=> X4 = X21 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_enum_class_001) ).

fof(owl_eqdis_propertydisjointwith,axiom,
    ! [X33,X34] :
      ( iext(uri_owl_propertyDisjointWith,X33,X34)
    <=> ( ip(X33)
        & ip(X34)
        & ! [X4,X7] :
            ~ ( iext(X33,X4,X7)
              & iext(X34,X4,X7) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_eqdis_propertydisjointwith) ).

fof(owl_char_symmetric,axiom,
    ! [X2] :
      ( icext(uri_owl_SymmetricProperty,X2)
    <=> ( ip(X2)
        & ! [X4,X7] :
            ( iext(X2,X4,X7)
           => iext(X2,X7,X4) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_char_symmetric) ).

fof(simple_iext_property,axiom,
    ! [X1,X2,X3] :
      ( iext(X2,X1,X3)
     => ip(X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',simple_iext_property) ).

fof(owl_rdfsext_range,axiom,
    ! [X2,X5] :
      ( iext(uri_rdfs_range,X2,X5)
    <=> ( ip(X2)
        & ip(X5)
        & ! [X4,X7] :
            ( iext(X2,X4,X7)
           => icext(X5,X7) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_rdfsext_range) ).

fof(conclusion_rdfbased_sem_eqdis_disprop_ext,conjecture,
    iext(uri_owl_propertyDisjointWith,uri_ex_p1,uri_ex_p2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_rdfbased_sem_eqdis_disprop_ext) ).

fof(owl_eqdis_differentfrom,axiom,
    ! [X4,X7] :
      ( iext(uri_owl_differentFrom,X4,X7)
    <=> X4 != X7 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_eqdis_differentfrom) ).

fof(owl_prop_differentfrom_type,axiom,
    ip(uri_owl_differentFrom),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_prop_differentfrom_type) ).

fof(c_0_10,plain,
    ! [X1730,X1731,X1732,X1733,X1734,X1735] :
      ( ( ip(X1730)
        | ~ iext(uri_rdfs_domain,X1730,X1731) )
      & ( ic(X1731)
        | ~ iext(uri_rdfs_domain,X1730,X1731) )
      & ( ~ iext(X1730,X1732,X1733)
        | icext(X1731,X1732)
        | ~ iext(uri_rdfs_domain,X1730,X1731) )
      & ( iext(X1734,esk105_2(X1734,X1735),esk106_2(X1734,X1735))
        | ~ ip(X1734)
        | ~ ic(X1735)
        | iext(uri_rdfs_domain,X1734,X1735) )
      & ( ~ icext(X1735,esk105_2(X1734,X1735))
        | ~ ip(X1734)
        | ~ ic(X1735)
        | iext(uri_rdfs_domain,X1734,X1735) ) ),
    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_domain])])])])])]) ).

fof(c_0_11,plain,
    ( iext(uri_rdfs_domain,uri_ex_p1,uri_ex_x1)
    & iext(uri_rdfs_range,uri_ex_p1,uri_ex_y1)
    & iext(uri_ex_p2,uri_ex_s2,uri_ex_o2)
    & iext(uri_owl_oneOf,uri_ex_y1,esk194_0)
    & iext(uri_rdf_first,esk194_0,uri_ex_o1)
    & iext(uri_rdf_rest,esk194_0,uri_rdf_nil)
    & iext(uri_rdf_first,esk192_0,uri_ex_s2)
    & iext(uri_rdf_rest,esk192_0,uri_rdf_nil)
    & iext(uri_rdfs_domain,uri_ex_p2,uri_ex_x2)
    & iext(uri_rdfs_range,uri_ex_p2,uri_ex_y2)
    & iext(uri_owl_differentFrom,uri_ex_o1,uri_ex_o2)
    & iext(uri_owl_oneOf,uri_ex_x1,esk193_0)
    & iext(uri_owl_oneOf,uri_ex_y2,esk195_0)
    & iext(uri_rdf_first,esk195_0,uri_ex_o2)
    & iext(uri_rdf_rest,esk195_0,uri_rdf_nil)
    & iext(uri_ex_p1,uri_ex_s1,uri_ex_o1)
    & iext(uri_owl_differentFrom,uri_ex_s1,uri_ex_s2)
    & iext(uri_rdf_first,esk193_0,uri_ex_s1)
    & iext(uri_rdf_rest,esk193_0,uri_rdf_nil)
    & iext(uri_owl_oneOf,uri_ex_x2,esk192_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[premise_rdfbased_sem_eqdis_disprop_ext])]) ).

fof(c_0_12,plain,
    ! [X1328,X1329,X1330,X1331,X1332] :
      ( ( ic(X1328)
        | ~ iext(uri_owl_oneOf,X1328,X1329)
        | ~ iext(uri_rdf_first,X1329,X1330)
        | ~ iext(uri_rdf_rest,X1329,uri_rdf_nil) )
      & ( ~ icext(X1328,X1331)
        | X1331 = X1330
        | ~ iext(uri_owl_oneOf,X1328,X1329)
        | ~ iext(uri_rdf_first,X1329,X1330)
        | ~ iext(uri_rdf_rest,X1329,uri_rdf_nil) )
      & ( X1332 != X1330
        | icext(X1328,X1332)
        | ~ iext(uri_owl_oneOf,X1328,X1329)
        | ~ iext(uri_rdf_first,X1329,X1330)
        | ~ iext(uri_rdf_rest,X1329,uri_rdf_nil) )
      & ( ~ icext(X1328,esk11_3(X1328,X1329,X1330))
        | esk11_3(X1328,X1329,X1330) != X1330
        | ~ ic(X1328)
        | iext(uri_owl_oneOf,X1328,X1329)
        | ~ iext(uri_rdf_first,X1329,X1330)
        | ~ iext(uri_rdf_rest,X1329,uri_rdf_nil) )
      & ( icext(X1328,esk11_3(X1328,X1329,X1330))
        | esk11_3(X1328,X1329,X1330) = X1330
        | ~ ic(X1328)
        | iext(uri_owl_oneOf,X1328,X1329)
        | ~ iext(uri_rdf_first,X1329,X1330)
        | ~ iext(uri_rdf_rest,X1329,uri_rdf_nil) ) ),
    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_enum_class_001])])])])])]) ).

fof(c_0_13,plain,
    ! [X1810,X1811,X1812,X1813,X1814,X1815] :
      ( ( ip(X1810)
        | ~ iext(uri_owl_propertyDisjointWith,X1810,X1811) )
      & ( ip(X1811)
        | ~ iext(uri_owl_propertyDisjointWith,X1810,X1811) )
      & ( ~ iext(X1810,X1812,X1813)
        | ~ iext(X1811,X1812,X1813)
        | ~ iext(uri_owl_propertyDisjointWith,X1810,X1811) )
      & ( iext(X1814,esk119_2(X1814,X1815),esk120_2(X1814,X1815))
        | ~ ip(X1814)
        | ~ ip(X1815)
        | iext(uri_owl_propertyDisjointWith,X1814,X1815) )
      & ( iext(X1815,esk119_2(X1814,X1815),esk120_2(X1814,X1815))
        | ~ ip(X1814)
        | ~ ip(X1815)
        | iext(uri_owl_propertyDisjointWith,X1814,X1815) ) ),
    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_propertydisjointwith])])])])])]) ).

cnf(c_0_14,plain,
    ( ip(X1)
    | ~ iext(uri_rdfs_domain,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_15,plain,
    iext(uri_rdfs_domain,uri_ex_p1,uri_ex_x1),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_16,plain,
    ! [X2033,X2034,X2035,X2036] :
      ( ( ip(X2033)
        | ~ icext(uri_owl_SymmetricProperty,X2033) )
      & ( ~ iext(X2033,X2034,X2035)
        | iext(X2033,X2035,X2034)
        | ~ icext(uri_owl_SymmetricProperty,X2033) )
      & ( iext(X2036,esk171_1(X2036),esk172_1(X2036))
        | ~ ip(X2036)
        | icext(uri_owl_SymmetricProperty,X2036) )
      & ( ~ iext(X2036,esk172_1(X2036),esk171_1(X2036))
        | ~ ip(X2036)
        | icext(uri_owl_SymmetricProperty,X2036) ) ),
    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_symmetric])])])])])]) ).

fof(c_0_17,plain,
    ! [X1021,X1022,X1023] :
      ( ~ iext(X1022,X1021,X1023)
      | ip(X1022) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[simple_iext_property])]) ).

cnf(c_0_18,plain,
    iext(uri_rdfs_domain,uri_ex_p2,uri_ex_x2),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_19,plain,
    ( X2 = X3
    | ~ icext(X1,X2)
    | ~ iext(uri_owl_oneOf,X1,X4)
    | ~ iext(uri_rdf_first,X4,X3)
    | ~ iext(uri_rdf_rest,X4,uri_rdf_nil) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_20,plain,
    iext(uri_rdf_rest,esk195_0,uri_rdf_nil),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_21,plain,
    ! [X1738,X1739,X1740,X1741,X1742,X1743] :
      ( ( ip(X1738)
        | ~ iext(uri_rdfs_range,X1738,X1739) )
      & ( ip(X1739)
        | ~ iext(uri_rdfs_range,X1738,X1739) )
      & ( ~ iext(X1738,X1740,X1741)
        | icext(X1739,X1741)
        | ~ iext(uri_rdfs_range,X1738,X1739) )
      & ( iext(X1742,esk107_2(X1742,X1743),esk108_2(X1742,X1743))
        | ~ ip(X1742)
        | ~ ip(X1743)
        | iext(uri_rdfs_range,X1742,X1743) )
      & ( ~ icext(X1743,esk108_2(X1742,X1743))
        | ~ ip(X1742)
        | ~ ip(X1743)
        | iext(uri_rdfs_range,X1742,X1743) ) ),
    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_range])])])])])]) ).

cnf(c_0_22,plain,
    ( iext(X1,esk119_2(X2,X1),esk120_2(X2,X1))
    | iext(uri_owl_propertyDisjointWith,X2,X1)
    | ~ ip(X2)
    | ~ ip(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_23,plain,
    ip(uri_ex_p1),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

fof(c_0_24,negated_conjecture,
    ~ iext(uri_owl_propertyDisjointWith,uri_ex_p1,uri_ex_p2),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conclusion_rdfbased_sem_eqdis_disprop_ext])]) ).

cnf(c_0_25,plain,
    ( icext(uri_owl_SymmetricProperty,X1)
    | ~ iext(X1,esk172_1(X1),esk171_1(X1))
    | ~ ip(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_26,plain,
    ( ip(X1)
    | ~ iext(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

fof(c_0_27,plain,
    ! [X1760,X1761] :
      ( ( ~ iext(uri_owl_differentFrom,X1760,X1761)
        | X1760 != X1761 )
      & ( X1760 = X1761
        | iext(uri_owl_differentFrom,X1760,X1761) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_eqdis_differentfrom])]) ).

cnf(c_0_28,plain,
    ( iext(X1,esk119_2(X1,X2),esk120_2(X1,X2))
    | iext(uri_owl_propertyDisjointWith,X1,X2)
    | ~ ip(X1)
    | ~ ip(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_29,plain,
    ip(uri_ex_p2),
    inference(spm,[status(thm)],[c_0_14,c_0_18]) ).

cnf(c_0_30,plain,
    ( X1 = X2
    | ~ icext(X3,X1)
    | ~ iext(uri_rdf_first,esk195_0,X2)
    | ~ iext(uri_owl_oneOf,X3,esk195_0) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_31,plain,
    iext(uri_rdf_first,esk195_0,uri_ex_o2),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_32,plain,
    ( icext(X4,X3)
    | ~ iext(X1,X2,X3)
    | ~ iext(uri_rdfs_range,X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_33,plain,
    iext(uri_rdfs_range,uri_ex_p2,uri_ex_y2),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_34,plain,
    ( iext(X1,esk119_2(uri_ex_p1,X1),esk120_2(uri_ex_p1,X1))
    | iext(uri_owl_propertyDisjointWith,uri_ex_p1,X1)
    | ~ ip(X1) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_35,negated_conjecture,
    ~ iext(uri_owl_propertyDisjointWith,uri_ex_p1,uri_ex_p2),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_36,plain,
    ( iext(X1,esk171_1(X1),esk172_1(X1))
    | icext(uri_owl_SymmetricProperty,X1)
    | ~ ip(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_37,plain,
    ip(uri_owl_differentFrom),
    inference(split_conjunct,[status(thm)],[owl_prop_differentfrom_type]) ).

cnf(c_0_38,plain,
    ( icext(uri_owl_SymmetricProperty,X1)
    | ~ iext(X1,esk172_1(X1),esk171_1(X1)) ),
    inference(csr,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_39,plain,
    ( X1 = X2
    | iext(uri_owl_differentFrom,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_40,plain,
    ( ~ iext(uri_owl_differentFrom,X1,X2)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_41,plain,
    iext(uri_rdf_rest,esk194_0,uri_rdf_nil),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_42,plain,
    iext(uri_rdfs_range,uri_ex_p1,uri_ex_y1),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_43,plain,
    ( iext(X1,esk119_2(X1,uri_ex_p2),esk120_2(X1,uri_ex_p2))
    | iext(uri_owl_propertyDisjointWith,X1,uri_ex_p2)
    | ~ ip(X1) ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_44,plain,
    ( X1 = uri_ex_o2
    | ~ icext(X2,X1)
    | ~ iext(uri_owl_oneOf,X2,esk195_0) ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_45,plain,
    iext(uri_owl_oneOf,uri_ex_y2,esk195_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_46,plain,
    ( icext(uri_ex_y2,X1)
    | ~ iext(uri_ex_p2,X2,X1) ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_47,plain,
    iext(uri_ex_p2,esk119_2(uri_ex_p1,uri_ex_p2),esk120_2(uri_ex_p1,uri_ex_p2)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_29]),c_0_35]) ).

cnf(c_0_48,plain,
    ( icext(uri_owl_SymmetricProperty,uri_owl_differentFrom)
    | iext(uri_owl_differentFrom,esk171_1(uri_owl_differentFrom),esk172_1(uri_owl_differentFrom)) ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_49,plain,
    ( esk172_1(uri_owl_differentFrom) = esk171_1(uri_owl_differentFrom)
    | icext(uri_owl_SymmetricProperty,uri_owl_differentFrom) ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_50,plain,
    ~ iext(uri_owl_differentFrom,X1,X1),
    inference(er,[status(thm)],[c_0_40]) ).

cnf(c_0_51,plain,
    ( X1 = X2
    | ~ icext(X3,X1)
    | ~ iext(uri_rdf_first,esk194_0,X2)
    | ~ iext(uri_owl_oneOf,X3,esk194_0) ),
    inference(spm,[status(thm)],[c_0_19,c_0_41]) ).

cnf(c_0_52,plain,
    iext(uri_rdf_first,esk194_0,uri_ex_o1),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_53,plain,
    ( icext(uri_ex_y1,X1)
    | ~ iext(uri_ex_p1,X2,X1) ),
    inference(spm,[status(thm)],[c_0_32,c_0_42]) ).

cnf(c_0_54,plain,
    iext(uri_ex_p1,esk119_2(uri_ex_p1,uri_ex_p2),esk120_2(uri_ex_p1,uri_ex_p2)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_23]),c_0_35]) ).

cnf(c_0_55,plain,
    ( X1 = uri_ex_o2
    | ~ icext(uri_ex_y2,X1) ),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_56,plain,
    icext(uri_ex_y2,esk120_2(uri_ex_p1,uri_ex_p2)),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_57,plain,
    ( iext(X1,X3,X2)
    | ~ iext(X1,X2,X3)
    | ~ icext(uri_owl_SymmetricProperty,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_58,plain,
    icext(uri_owl_SymmetricProperty,uri_owl_differentFrom),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]) ).

cnf(c_0_59,plain,
    ( X1 = uri_ex_o1
    | ~ icext(X2,X1)
    | ~ iext(uri_owl_oneOf,X2,esk194_0) ),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_60,plain,
    iext(uri_owl_oneOf,uri_ex_y1,esk194_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_61,plain,
    icext(uri_ex_y1,esk120_2(uri_ex_p1,uri_ex_p2)),
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_62,plain,
    esk120_2(uri_ex_p1,uri_ex_p2) = uri_ex_o2,
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_63,plain,
    ( iext(uri_owl_differentFrom,X1,X2)
    | ~ iext(uri_owl_differentFrom,X2,X1) ),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_64,plain,
    iext(uri_owl_differentFrom,uri_ex_o1,uri_ex_o2),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_65,plain,
    ( X1 = uri_ex_o1
    | ~ icext(uri_ex_y1,X1) ),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_66,plain,
    icext(uri_ex_y1,uri_ex_o2),
    inference(rw,[status(thm)],[c_0_61,c_0_62]) ).

cnf(c_0_67,plain,
    iext(uri_owl_differentFrom,uri_ex_o2,uri_ex_o1),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_68,plain,
    uri_ex_o2 = uri_ex_o1,
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_69,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_68]),c_0_50]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWB062+1 : TPTP v9.2.1. Released v5.2.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.34  % Computer : n020.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit   : 300
% 0.15/0.34  % WCLimit    : 300
% 0.15/0.34  % DateTime   : Tue May  5 04:11:20 EDT 2026
% 0.15/0.34  % CPUTime    : 
% 0.15/0.35  % start to proof: theBenchmark
% 35.81/20.79  % Version  : CSE_E---1.7
% 35.81/20.79  % Problem  : theBenchmark.p
% 35.81/20.79  % SZS status Theorem for theBenchmark.p
% 35.81/20.79  % SZS output start CNFRefutation
% See solution above
% 36.00/20.90  % Total time : 16.520s
%------------------------------------------------------------------------------