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FindProof---0.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : SWB010+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 03:03:43 PM UTC 2026

% Result   : Theorem 3.97s 0.99s
% Output   : Proof 3.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   81 (  18 unt;   0 def)
%            Number of atoms       :  290 (  13 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  327 ( 118   ~; 128   |;  69   &)
%                                         (   5 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   24 (  24 usr;  21 con; 0-4 aty)
%            Number of variables   :  156 (   3 sgn  68   !;  14   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f6,axiom,
    ! [Z,P,C] :
      ( ( iext(uri_owl_onProperty,Z,P)
        & iext(uri_owl_allValuesFrom,Z,C) )
     => ! [X] :
          ( icext(Z,X)
        <=> ! [Y] :
              ( iext(P,X,Y)
             => icext(C,Y) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_allvaluesfrom) ).

fof(f6_nnf,plain,
    ! [Z,P,C] :
      ( ! [X] :
          ( ( ? [Y] :
                ( ~ icext(C,Y)
                & iext(P,X,Y) )
            | icext(Z,X) )
          & ( ! [Y] :
                ( icext(C,Y)
                | ~ iext(P,X,Y) )
            | ~ icext(Z,X) ) )
      | ~ iext(uri_owl_onProperty,Z,P)
      | ~ iext(uri_owl_allValuesFrom,Z,C) ),
    inference(nnf_transformation,[status(thm)],[f6]) ).

fof(f6_sk,plain,
    ! [Z,C,P,X,Y] :
      ( ( ( ( ~ icext(C,sk1(Z,P,C,X))
            & iext(P,X,sk1(Z,P,C,X)) )
          | icext(Z,X) )
        & ( icext(C,Y)
          | ~ iext(P,X,Y)
          | ~ icext(Z,X) ) )
      | ~ iext(uri_owl_onProperty,Z,P)
      | ~ iext(uri_owl_allValuesFrom,Z,C) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sk1])],[f6_nnf]) ).

cnf(c18,plain,
    ( icext(X2,X4)
    | ~ iext(X1,X3,X4)
    | ~ icext(X0,X3)
    | ~ iext(uri_owl_onProperty,X0,X1)
    | ~ iext(uri_owl_allValuesFrom,X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f6_sk]) ).

fof(f9,axiom,
    ? [BNODE_x1,BNODE_x2,BNODE_x3,BNODE_x4] :
      ( iext(uri_rdf_rest,BNODE_x4,uri_rdf_nil)
      & iext(uri_rdf_first,BNODE_x4,uri_ex_o)
      & iext(uri_owl_oneOf,BNODE_x3,BNODE_x4)
      & iext(uri_owl_complementOf,BNODE_x2,BNODE_x3)
      & iext(uri_owl_allValuesFrom,BNODE_x1,BNODE_x2)
      & iext(uri_owl_onProperty,BNODE_x1,uri_ex_p)
      & iext(uri_rdf_type,uri_ex_s,BNODE_x1)
      & iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_010_Negative_Property_Assertions) ).

fof(f9_nnf,plain,
    ? [BNODE_x1,BNODE_x2,BNODE_x3,BNODE_x4] :
      ( iext(uri_rdf_rest,BNODE_x4,uri_rdf_nil)
      & iext(uri_rdf_first,BNODE_x4,uri_ex_o)
      & iext(uri_owl_oneOf,BNODE_x3,BNODE_x4)
      & iext(uri_owl_complementOf,BNODE_x2,BNODE_x3)
      & iext(uri_owl_allValuesFrom,BNODE_x1,BNODE_x2)
      & iext(uri_owl_onProperty,BNODE_x1,uri_ex_p)
      & iext(uri_rdf_type,uri_ex_s,BNODE_x1)
      & iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
    inference(nnf_transformation,[status(thm)],[f9]) ).

fof(f9_sk,plain,
    ( iext(uri_rdf_rest,sk6,uri_rdf_nil)
    & iext(uri_rdf_first,sk6,uri_ex_o)
    & iext(uri_owl_oneOf,sk5,sk6)
    & iext(uri_owl_complementOf,sk4,sk5)
    & iext(uri_owl_allValuesFrom,sk3,sk4)
    & iext(uri_owl_onProperty,sk3,uri_ex_p)
    & iext(uri_rdf_type,uri_ex_s,sk3)
    & iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sk3,sk4,sk5,sk6])],[f9_nnf]) ).

cnf(c28,plain,
    iext(uri_owl_allValuesFrom,sk3,sk4),
    inference(cnf_transformation,[status(esa)],[f9_sk]) ).

cnf(p90,plain,
    ( icext(sk4,X2)
    | ~ iext(X0,X1,X2)
    | ~ icext(sk3,X1)
    | ~ iext(uri_owl_onProperty,sk3,X0) ),
    inference(resolution,[status(thm)],[c18,c28]) ).

cnf(c27,plain,
    iext(uri_owl_onProperty,sk3,uri_ex_p),
    inference(cnf_transformation,[status(esa)],[f9_sk]) ).

cnf(p93,plain,
    ( icext(sk4,X1)
    | ~ iext(uri_ex_p,X0,X1)
    | ~ icext(sk3,X0) ),
    inference(resolution,[status(thm)],[p90,c27]) ).

fof(f1,axiom,
    ! [X,C] :
      ( iext(uri_rdf_type,X,C)
    <=> icext(C,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).

fof(f1_nnf,plain,
    ! [X,C] :
      ( ( ~ icext(C,X)
        | iext(uri_rdf_type,X,C) )
      & ( icext(C,X)
        | ~ iext(uri_rdf_type,X,C) ) ),
    inference(nnf_transformation,[status(thm)],[f1]) ).

fof(f1_sk,plain,
    ! [X,C] :
      ( ( ~ icext(C,X)
        | iext(uri_rdf_type,X,C) )
      & ( icext(C,X)
        | ~ iext(uri_rdf_type,X,C) ) ),
    inference(skolemisation,[status(esa)],[f1_nnf]) ).

cnf(c1,plain,
    ( icext(X1,X0)
    | ~ iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f1_sk]) ).

cnf(c26,plain,
    iext(uri_rdf_type,uri_ex_s,sk3),
    inference(cnf_transformation,[status(esa)],[f9_sk]) ).

cnf(p37,plain,
    icext(sk3,uri_ex_s),
    inference(resolution,[status(thm)],[c1,c26]) ).

cnf(p94,plain,
    ( icext(sk4,X0)
    | ~ iext(uri_ex_p,uri_ex_s,X0) ),
    inference(resolution,[status(thm)],[p93,p37]) ).

fof(f7,axiom,
    ! [P,A1,A2] :
      ( ( ~ iext(P,A1,A2)
        & ir(A2)
        & ip(P)
        & ir(A1) )
     => ? [Z] :
          ( iext(uri_owl_targetIndividual,Z,A2)
          & iext(uri_owl_assertionProperty,Z,P)
          & iext(uri_owl_sourceIndividual,Z,A1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_npa_object_fi) ).

fof(f7_nnf,plain,
    ! [P,A1,A2] :
      ( ? [Z] :
          ( iext(uri_owl_targetIndividual,Z,A2)
          & iext(uri_owl_assertionProperty,Z,P)
          & iext(uri_owl_sourceIndividual,Z,A1) )
      | iext(P,A1,A2)
      | ~ ir(A2)
      | ~ ip(P)
      | ~ ir(A1) ),
    inference(nnf_transformation,[status(thm)],[f7]) ).

fof(f7_sk,plain,
    ! [A1,P,A2] :
      ( ( iext(uri_owl_targetIndividual,sk2(P,A1,A2),A2)
        & iext(uri_owl_assertionProperty,sk2(P,A1,A2),P)
        & iext(uri_owl_sourceIndividual,sk2(P,A1,A2),A1) )
      | iext(P,A1,A2)
      | ~ ir(A2)
      | ~ ip(P)
      | ~ ir(A1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sk2])],[f7_nnf]) ).

cnf(c23,plain,
    ( iext(uri_owl_targetIndividual,sk2(X0,X1,X2),X2)
    | iext(X0,X1,X2)
    | ~ ir(X2)
    | ~ ip(X0)
    | ~ ir(X1) ),
    inference(cnf_transformation,[status(esa)],[f7_sk]) ).

fof(f0,axiom,
    ! [X] : ir(X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',simple_ir) ).

fof(f0_nnf,plain,
    ! [X] : ir(X),
    inference(nnf_transformation,[status(thm)],[f0]) ).

fof(f0_sk,plain,
    ! [X] : ir(X),
    inference(skolemisation,[status(esa)],[f0_nnf]) ).

cnf(c0,plain,
    ir(X0),
    inference(cnf_transformation,[status(esa)],[f0_sk]) ).

cnf(p65,plain,
    ( iext(uri_owl_targetIndividual,sk2(X0,X2,X1),X1)
    | iext(X0,X2,X1)
    | ~ ir(X1)
    | ~ ip(X0) ),
    inference(resolution,[status(thm)],[c23,c0]) ).

fof(f3,axiom,
    ! [X,Y] :
      ( iext(uri_owl_onProperty,X,Y)
     => ( ip(Y)
        & icext(uri_owl_Restriction,X) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_onproperty_ext) ).

fof(f3_nnf,plain,
    ! [X,Y] :
      ( ( ip(Y)
        & icext(uri_owl_Restriction,X) )
      | ~ iext(uri_owl_onProperty,X,Y) ),
    inference(nnf_transformation,[status(thm)],[f3]) ).

fof(f3_sk,plain,
    ! [X,Y] :
      ( ( ip(Y)
        & icext(uri_owl_Restriction,X) )
      | ~ iext(uri_owl_onProperty,X,Y) ),
    inference(skolemisation,[status(esa)],[f3_nnf]) ).

cnf(c6,plain,
    ( ip(X1)
    | ~ iext(uri_owl_onProperty,X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f3_sk]) ).

cnf(p33,plain,
    ip(uri_ex_p),
    inference(resolution,[status(thm)],[c6,c27]) ).

cnf(p66,plain,
    ( iext(uri_owl_targetIndividual,sk2(uri_ex_p,X1,X0),X0)
    | iext(uri_ex_p,X1,X0)
    | ~ ir(X0) ),
    inference(resolution,[status(thm)],[p65,p33]) ).

cnf(p67,plain,
    ( iext(uri_owl_targetIndividual,sk2(uri_ex_p,X0,X1),X1)
    | iext(uri_ex_p,X0,X1) ),
    inference(resolution,[status(thm)],[p66,c0]) ).

cnf(c22,plain,
    ( iext(uri_owl_assertionProperty,sk2(X0,X1,X2),X0)
    | iext(X0,X1,X2)
    | ~ ir(X2)
    | ~ ip(X0)
    | ~ ir(X1) ),
    inference(cnf_transformation,[status(esa)],[f7_sk]) ).

cnf(p59,plain,
    ( iext(uri_owl_assertionProperty,sk2(X0,X2,X1),X0)
    | iext(X0,X2,X1)
    | ~ ir(X1)
    | ~ ip(X0) ),
    inference(resolution,[status(thm)],[c22,c0]) ).

cnf(p60,plain,
    ( iext(uri_owl_assertionProperty,sk2(uri_ex_p,X1,X0),uri_ex_p)
    | iext(uri_ex_p,X1,X0)
    | ~ ir(X0) ),
    inference(resolution,[status(thm)],[p59,p33]) ).

cnf(p61,plain,
    ( iext(uri_owl_assertionProperty,sk2(uri_ex_p,X0,X1),uri_ex_p)
    | iext(uri_ex_p,X0,X1) ),
    inference(resolution,[status(thm)],[p60,c0]) ).

cnf(c21,plain,
    ( iext(uri_owl_sourceIndividual,sk2(X0,X1,X2),X1)
    | iext(X0,X1,X2)
    | ~ ir(X2)
    | ~ ip(X0)
    | ~ ir(X1) ),
    inference(cnf_transformation,[status(esa)],[f7_sk]) ).

cnf(p50,plain,
    ( iext(uri_owl_sourceIndividual,sk2(X0,X2,X1),X2)
    | iext(X0,X2,X1)
    | ~ ir(X1)
    | ~ ip(X0) ),
    inference(resolution,[status(thm)],[c21,c0]) ).

cnf(p51,plain,
    ( iext(uri_owl_sourceIndividual,sk2(uri_ex_p,X1,X0),X1)
    | iext(uri_ex_p,X1,X0)
    | ~ ir(X0) ),
    inference(resolution,[status(thm)],[p50,p33]) ).

cnf(p52,plain,
    ( iext(uri_owl_sourceIndividual,sk2(uri_ex_p,X0,X1),X0)
    | iext(uri_ex_p,X0,X1) ),
    inference(resolution,[status(thm)],[p51,c0]) ).

fof(f2,axiom,
    ! [X,Y] :
      ( iext(uri_owl_sourceIndividual,X,Y)
     => ( ir(Y)
        & icext(uri_owl_NegativePropertyAssertion,X) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_sourceindividual_ext) ).

fof(f2_nnf,plain,
    ! [X,Y] :
      ( ( ir(Y)
        & icext(uri_owl_NegativePropertyAssertion,X) )
      | ~ iext(uri_owl_sourceIndividual,X,Y) ),
    inference(nnf_transformation,[status(thm)],[f2]) ).

fof(f2_sk,plain,
    ! [X,Y] :
      ( ( ir(Y)
        & icext(uri_owl_NegativePropertyAssertion,X) )
      | ~ iext(uri_owl_sourceIndividual,X,Y) ),
    inference(skolemisation,[status(esa)],[f2_nnf]) ).

cnf(c3,plain,
    ( icext(uri_owl_NegativePropertyAssertion,X0)
    | ~ iext(uri_owl_sourceIndividual,X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f2_sk]) ).

cnf(p53,plain,
    ( icext(uri_owl_NegativePropertyAssertion,sk2(uri_ex_p,X0,X1))
    | iext(uri_ex_p,X0,X1) ),
    inference(resolution,[status(thm)],[p52,c3]) ).

cnf(c2,plain,
    ( ~ icext(X1,X0)
    | iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f1_sk]) ).

cnf(p54,plain,
    ( iext(uri_rdf_type,sk2(uri_ex_p,X0,X1),uri_owl_NegativePropertyAssertion)
    | iext(uri_ex_p,X0,X1) ),
    inference(resolution,[status(thm)],[p53,c2]) ).

fof(f8,conjecture,
    ? [BNODE_z] :
      ( iext(uri_owl_targetIndividual,BNODE_z,uri_ex_o)
      & iext(uri_owl_assertionProperty,BNODE_z,uri_ex_p)
      & iext(uri_owl_sourceIndividual,BNODE_z,uri_ex_s)
      & iext(uri_rdf_type,BNODE_z,uri_owl_NegativePropertyAssertion) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_010_Negative_Property_Assertions) ).

fof(f8_neg,negated_conjecture,
    ~ ? [BNODE_z] :
        ( iext(uri_owl_targetIndividual,BNODE_z,uri_ex_o)
        & iext(uri_owl_assertionProperty,BNODE_z,uri_ex_p)
        & iext(uri_owl_sourceIndividual,BNODE_z,uri_ex_s)
        & iext(uri_rdf_type,BNODE_z,uri_owl_NegativePropertyAssertion) ),
    inference(negated_conjecture,[status(cth)],[f8]) ).

fof(f8_nnf,plain,
    ! [BNODE_z] :
      ( ~ iext(uri_owl_targetIndividual,BNODE_z,uri_ex_o)
      | ~ iext(uri_owl_assertionProperty,BNODE_z,uri_ex_p)
      | ~ iext(uri_owl_sourceIndividual,BNODE_z,uri_ex_s)
      | ~ iext(uri_rdf_type,BNODE_z,uri_owl_NegativePropertyAssertion) ),
    inference(nnf_transformation,[status(thm)],[f8_neg]) ).

fof(f8_sk,plain,
    ! [BNODE_z] :
      ( ~ iext(uri_owl_targetIndividual,BNODE_z,uri_ex_o)
      | ~ iext(uri_owl_assertionProperty,BNODE_z,uri_ex_p)
      | ~ iext(uri_owl_sourceIndividual,BNODE_z,uri_ex_s)
      | ~ iext(uri_rdf_type,BNODE_z,uri_owl_NegativePropertyAssertion) ),
    inference(skolemisation,[status(esa)],[f8_nnf]) ).

cnf(c24,plain,
    ( ~ iext(uri_owl_targetIndividual,X0,uri_ex_o)
    | ~ iext(uri_owl_assertionProperty,X0,uri_ex_p)
    | ~ iext(uri_owl_sourceIndividual,X0,uri_ex_s)
    | ~ iext(uri_rdf_type,X0,uri_owl_NegativePropertyAssertion) ),
    inference(cnf_transformation,[status(esa)],[f8_sk]) ).

cnf(p55,plain,
    ( ~ iext(uri_owl_targetIndividual,sk2(uri_ex_p,X0,X1),uri_ex_o)
    | ~ iext(uri_owl_assertionProperty,sk2(uri_ex_p,X0,X1),uri_ex_p)
    | ~ iext(uri_owl_sourceIndividual,sk2(uri_ex_p,X0,X1),uri_ex_s)
    | iext(uri_ex_p,X0,X1) ),
    inference(resolution,[status(thm)],[p54,c24]) ).

cnf(p56,plain,
    ( iext(uri_ex_p,uri_ex_s,X0)
    | ~ iext(uri_owl_targetIndividual,sk2(uri_ex_p,uri_ex_s,X0),uri_ex_o)
    | ~ iext(uri_owl_assertionProperty,sk2(uri_ex_p,uri_ex_s,X0),uri_ex_p)
    | iext(uri_ex_p,uri_ex_s,X0) ),
    inference(resolution,[status(thm)],[p55,p52]) ).

cnf(p57,plain,
    ( ~ iext(uri_owl_targetIndividual,sk2(uri_ex_p,uri_ex_s,X0),uri_ex_o)
    | ~ iext(uri_owl_assertionProperty,sk2(uri_ex_p,uri_ex_s,X0),uri_ex_p)
    | iext(uri_ex_p,uri_ex_s,X0) ),
    inference(factoring,[status(thm)],[p56]) ).

cnf(p62,plain,
    ( ~ iext(uri_owl_targetIndividual,sk2(uri_ex_p,uri_ex_s,X0),uri_ex_o)
    | iext(uri_ex_p,uri_ex_s,X0)
    | iext(uri_ex_p,uri_ex_s,X0) ),
    inference(resolution,[status(thm)],[p61,p57]) ).

cnf(p63,plain,
    ( ~ iext(uri_owl_targetIndividual,sk2(uri_ex_p,uri_ex_s,X0),uri_ex_o)
    | iext(uri_ex_p,uri_ex_s,X0) ),
    inference(factoring,[status(thm)],[p62]) ).

cnf(p68,plain,
    ( iext(uri_ex_p,uri_ex_s,uri_ex_o)
    | iext(uri_ex_p,uri_ex_s,uri_ex_o) ),
    inference(resolution,[status(thm)],[p67,p63]) ).

cnf(p69,plain,
    iext(uri_ex_p,uri_ex_s,uri_ex_o),
    inference(factoring,[status(thm)],[p68]) ).

cnf(p95,plain,
    icext(sk4,uri_ex_o),
    inference(resolution,[status(thm)],[p94,p69]) ).

fof(f4,axiom,
    ! [Z,C] :
      ( iext(uri_owl_complementOf,Z,C)
     => ( ! [X] :
            ( icext(Z,X)
          <=> ~ icext(C,X) )
        & ic(C)
        & ic(Z) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_complementof_class) ).

fof(f4_nnf,plain,
    ! [Z,C] :
      ( ( ! [X] :
            ( ( icext(C,X)
              | icext(Z,X) )
            & ( ~ icext(C,X)
              | ~ icext(Z,X) ) )
        & ic(C)
        & ic(Z) )
      | ~ iext(uri_owl_complementOf,Z,C) ),
    inference(nnf_transformation,[status(thm)],[f4]) ).

fof(f4_sk,plain,
    ! [Z,C,X] :
      ( ( ( icext(C,X)
          | icext(Z,X) )
        & ( ~ icext(C,X)
          | ~ icext(Z,X) )
        & ic(C)
        & ic(Z) )
      | ~ iext(uri_owl_complementOf,Z,C) ),
    inference(skolemisation,[status(esa)],[f4_nnf]) ).

cnf(c9,plain,
    ( ~ icext(X1,X2)
    | ~ icext(X0,X2)
    | ~ iext(uri_owl_complementOf,X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f4_sk]) ).

cnf(c29,plain,
    iext(uri_owl_complementOf,sk4,sk5),
    inference(cnf_transformation,[status(esa)],[f9_sk]) ).

cnf(p41,plain,
    ( ~ icext(sk5,X0)
    | ~ icext(sk4,X0) ),
    inference(resolution,[status(thm)],[c9,c29]) ).

cnf(p97,plain,
    ~ icext(sk5,uri_ex_o),
    inference(resolution,[status(thm)],[p95,p41]) ).

fof(f5,axiom,
    ! [Z,S1,A1] :
      ( ( iext(uri_rdf_rest,S1,uri_rdf_nil)
        & iext(uri_rdf_first,S1,A1) )
     => ( iext(uri_owl_oneOf,Z,S1)
      <=> ( ! [X] :
              ( icext(Z,X)
            <=> X = A1 )
          & ic(Z) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_enum_class_001) ).

fof(f5_nnf,plain,
    ! [Z,S1,A1] :
      ( ( ( ? [X] :
              ( ( X = A1
                & ~ icext(Z,X) )
              | ( X != A1
                & icext(Z,X) ) )
          | ~ ic(Z)
          | iext(uri_owl_oneOf,Z,S1) )
        & ( ( ! [X] :
                ( ( X != A1
                  | icext(Z,X) )
                & ( X = A1
                  | ~ icext(Z,X) ) )
            & ic(Z) )
          | ~ iext(uri_owl_oneOf,Z,S1) ) )
      | ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,S1,A1) ),
    inference(nnf_transformation,[status(thm)],[f5]) ).

fof(f5_sk,plain,
    ! [S1,A1,Z,X] :
      ( ( ( ( sk0(Z,S1,A1) = A1
            & ~ icext(Z,sk0(Z,S1,A1)) )
          | ( sk0(Z,S1,A1) != A1
            & icext(Z,sk0(Z,S1,A1)) )
          | ~ ic(Z)
          | iext(uri_owl_oneOf,Z,S1) )
        & ( ( ( X != A1
              | icext(Z,X) )
            & ( X = A1
              | ~ icext(Z,X) )
            & ic(Z) )
          | ~ iext(uri_owl_oneOf,Z,S1) ) )
      | ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,S1,A1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f5_nnf]) ).

cnf(c13,plain,
    ( X3 != X2
    | icext(X0,X3)
    | ~ iext(uri_owl_oneOf,X0,X1)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | ~ iext(uri_rdf_first,X1,X2) ),
    inference(cnf_transformation,[status(esa)],[f5_sk]) ).

cnf(c31,plain,
    iext(uri_rdf_first,sk6,uri_ex_o),
    inference(cnf_transformation,[status(esa)],[f9_sk]) ).

cnf(p79,plain,
    ( X1 != uri_ex_o
    | icext(X0,X1)
    | ~ iext(uri_owl_oneOf,X0,sk6)
    | ~ iext(uri_rdf_rest,sk6,uri_rdf_nil) ),
    inference(resolution,[status(thm)],[c13,c31]) ).

cnf(c32,plain,
    iext(uri_rdf_rest,sk6,uri_rdf_nil),
    inference(cnf_transformation,[status(esa)],[f9_sk]) ).

cnf(p81,plain,
    ( X1 != uri_ex_o
    | icext(X0,X1)
    | ~ iext(uri_owl_oneOf,X0,sk6) ),
    inference(resolution,[status(thm)],[p79,c32]) ).

cnf(c30,plain,
    iext(uri_owl_oneOf,sk5,sk6),
    inference(cnf_transformation,[status(esa)],[f9_sk]) ).

cnf(p83,plain,
    ( X0 != uri_ex_o
    | icext(sk5,X0) ),
    inference(resolution,[status(thm)],[p81,c30]) ).

cnf(p84,plain,
    icext(sk5,uri_ex_o),
    inference(equality_resolution,[status(thm)],[p83]) ).

cnf(p99,plain,
    $false,
    inference(resolution,[status(thm)],[p97,p84]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB010+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/0.35  % Computer : n010.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.35  % CPULimit : 300
% 0.08/0.35  % WCLimit  : 300
% 0.08/0.35  % DateTime : Thu Sep 24 15:24:58 UTC 2026
% 0.08/0.35  % CPUTime  : 
% 0.08/0.35  Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.97/0.99  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.97/0.99  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------