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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWB071+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n007.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 03:04:37 PM UTC 2026

% Result   : Theorem 10.66s 2.21s
% Output   : CNFRefutation 10.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   13
% Syntax   : Number of formulae    :  109 (  27 unt;   0 def)
%            Number of atoms       :  351 (  22 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  420 ( 178   ~; 191   |;  41   &)
%                                         (   5 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;  11 con; 0-3 aty)
%            Number of variables   :  234 (   0 sgn 220   !;  14   ?; 122   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1,X2] :
      ( iext(X1,X0,X2)
     => ip(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',simple_iext_property) ).

fof(f2,axiom,
    ! [X0] : ir(X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',simple_ir) ).

fof(f25,axiom,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
    <=> icext(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',rdfs_cext_def) ).

fof(f143,axiom,
    ! [X0] :
      ( icext(uri_owl_NegativePropertyAssertion,X0)
     => ir(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_class_negativepropertyassertion_ext) ).

fof(f176,axiom,
    ip(uri_owl_assertionProperty),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_prop_assertionproperty_type) ).

fof(f261,axiom,
    ip(uri_owl_sourceIndividual),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_prop_sourceindividual_type) ).

fof(f263,axiom,
    ip(uri_owl_targetIndividual),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_prop_targetindividual_type) ).

fof(f345,axiom,
    ! [X0,X1] :
      ( iext(uri_owl_differentFrom,X0,X1)
    <=> X0 != X1 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_eqdis_differentfrom) ).

fof(f393,axiom,
    ! [X0] :
      ( icext(uri_owl_FunctionalProperty,X0)
    <=> ( ! [X1,X2,X3] :
            ( ( iext(X0,X1,X3)
              & iext(X0,X1,X2) )
           => X2 = X3 )
        & ip(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_char_functional) ).

fof(f405,axiom,
    ! [X0,X1,X2] :
      ( ( ~ iext(X0,X1,X2)
        & ir(X2)
        & ip(X0)
        & ir(X1) )
     => ? [X3] :
          ( iext(uri_owl_targetIndividual,X3,X2)
          & iext(uri_owl_assertionProperty,X3,X0)
          & iext(uri_owl_sourceIndividual,X3,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_npa_object_fi) ).

fof(f406,axiom,
    ! [X0,X1,X2,X3] :
      ( ( iext(uri_owl_targetIndividual,X0,X3)
        & iext(uri_owl_assertionProperty,X0,X1)
        & iext(uri_owl_sourceIndividual,X0,X2) )
     => ~ iext(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_npa_object_if) ).

fof(f559,conjecture,
    ? [X0] :
      ( iext(uri_owl_targetIndividual,X0,uri_ex_o2)
      & iext(uri_owl_assertionProperty,X0,uri_ex_p)
      & iext(uri_owl_sourceIndividual,X0,uri_ex_s) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_rdfbased_sem_npa_ind_bw) ).

fof(f560,negated_conjecture,
    ~ ? [X0] :
        ( iext(uri_owl_targetIndividual,X0,uri_ex_o2)
        & iext(uri_owl_assertionProperty,X0,uri_ex_p)
        & iext(uri_owl_sourceIndividual,X0,uri_ex_s) ),
    inference(negated_conjecture,[status(cth)],[f559]) ).

fof(f561,axiom,
    ( iext(uri_owl_differentFrom,uri_ex_o2,uri_ex_o1)
    & iext(uri_ex_p,uri_ex_s,uri_ex_o1)
    & iext(uri_rdf_type,uri_ex_p,uri_owl_FunctionalProperty) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_rdfbased_sem_npa_ind_bw) ).

fof(f572,plain,
    ! [X0,X1,X2] :
      ( ~ iext(X1,X0,X2)
      | ip(X1) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f615,plain,
    ! [X0] :
      ( ~ icext(uri_owl_NegativePropertyAssertion,X0)
      | ir(X0) ),
    inference(ennf_transformation,[],[f143]) ).

fof(f847,plain,
    ! [X0] :
      ( icext(uri_owl_FunctionalProperty,X0)
    <=> ( ! [X1,X2,X3] :
            ( ~ iext(X0,X1,X3)
            | ~ iext(X0,X1,X2)
            | X2 = X3 )
        & ip(X0) ) ),
    inference(ennf_transformation,[],[f393]) ).

fof(f848,plain,
    ! [X0] :
      ( icext(uri_owl_FunctionalProperty,X0)
    <=> ( ! [X1,X2,X3] :
            ( ~ iext(X0,X1,X3)
            | ~ iext(X0,X1,X2)
            | X2 = X3 )
        & ip(X0) ) ),
    inference(flattening,[],[f847]) ).

fof(f866,plain,
    ! [X0,X1,X2] :
      ( iext(X0,X1,X2)
      | ~ ir(X2)
      | ~ ip(X0)
      | ~ ir(X1)
      | ? [X3] :
          ( iext(uri_owl_targetIndividual,X3,X2)
          & iext(uri_owl_assertionProperty,X3,X0)
          & iext(uri_owl_sourceIndividual,X3,X1) ) ),
    inference(ennf_transformation,[],[f405]) ).

fof(f867,plain,
    ! [X0,X1,X2] :
      ( iext(X0,X1,X2)
      | ~ ir(X2)
      | ~ ip(X0)
      | ~ ir(X1)
      | ? [X3] :
          ( iext(uri_owl_targetIndividual,X3,X2)
          & iext(uri_owl_assertionProperty,X3,X0)
          & iext(uri_owl_sourceIndividual,X3,X1) ) ),
    inference(flattening,[],[f866]) ).

fof(f868,plain,
    ! [X0,X1,X2,X3] :
      ( ~ iext(uri_owl_targetIndividual,X0,X3)
      | ~ iext(uri_owl_assertionProperty,X0,X1)
      | ~ iext(uri_owl_sourceIndividual,X0,X2)
      | ~ iext(X1,X2,X3) ),
    inference(ennf_transformation,[],[f406]) ).

fof(f869,plain,
    ! [X0,X1,X2,X3] :
      ( ~ iext(uri_owl_targetIndividual,X0,X3)
      | ~ iext(uri_owl_assertionProperty,X0,X1)
      | ~ iext(uri_owl_sourceIndividual,X0,X2)
      | ~ iext(X1,X2,X3) ),
    inference(flattening,[],[f868]) ).

fof(f980,plain,
    ! [X0] :
      ( ~ iext(uri_owl_targetIndividual,X0,uri_ex_o2)
      | ~ iext(uri_owl_assertionProperty,X0,uri_ex_p)
      | ~ iext(uri_owl_sourceIndividual,X0,uri_ex_s) ),
    inference(ennf_transformation,[],[f560]) ).

fof(f1061,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_rdf_type,X0,X1)
        | icext(X1,X0) )
      & ( ~ icext(X1,X0)
        | iext(uri_rdf_type,X0,X1) ) ),
    inference(nnf_transformation,[],[f25]) ).

fof(f1320,plain,
    ! [X0,X1] :
      ( ( ~ iext(uri_owl_differentFrom,X0,X1)
        | X0 != X1 )
      & ( X0 = X1
        | iext(uri_owl_differentFrom,X0,X1) ) ),
    inference(nnf_transformation,[],[f345]) ).

fof(f1415,plain,
    ! [X0] :
      ( ( ~ icext(uri_owl_FunctionalProperty,X0)
        | ( ! [X1,X2,X3] :
              ( ~ iext(X0,X1,X3)
              | ~ iext(X0,X1,X2)
              | X2 = X3 )
          & ip(X0) ) )
      & ( ? [X1,X2,X3] :
            ( iext(X0,X1,X3)
            & iext(X0,X1,X2)
            & X2 != X3 )
        | ~ ip(X0)
        | icext(uri_owl_FunctionalProperty,X0) ) ),
    inference(nnf_transformation,[],[f848]) ).

fof(f1416,plain,
    ! [X0] :
      ( ( ~ icext(uri_owl_FunctionalProperty,X0)
        | ( ! [X1,X2,X3] :
              ( ~ iext(X0,X1,X3)
              | ~ iext(X0,X1,X2)
              | X2 = X3 )
          & ip(X0) ) )
      & ( ? [X1,X2,X3] :
            ( iext(X0,X1,X3)
            & iext(X0,X1,X2)
            & X2 != X3 )
        | ~ ip(X0)
        | icext(uri_owl_FunctionalProperty,X0) ) ),
    inference(flattening,[],[f1415]) ).

fof(f1417,plain,
    ! [X0] :
      ( ( ~ icext(uri_owl_FunctionalProperty,X0)
        | ( ! [X4,X5,X6] :
              ( ~ iext(X0,X4,X6)
              | ~ iext(X0,X4,X5)
              | X5 = X6 )
          & ip(X0) ) )
      & ( ? [X1,X2,X3] :
            ( iext(X0,X1,X3)
            & iext(X0,X1,X2)
            & X2 != X3 )
        | ~ ip(X0)
        | icext(uri_owl_FunctionalProperty,X0) ) ),
    inference(rectify,[],[f1416]) ).

fof(f1418,plain,
    ! [X0] :
      ( ( ~ icext(uri_owl_FunctionalProperty,X0)
        | ( ! [X4,X5,X6] :
              ( ~ iext(X0,X4,X6)
              | ~ iext(X0,X4,X5)
              | X5 = X6 )
          & ip(X0) ) )
      & ( ( iext(X0,sK222(X0),sK224(X0))
          & iext(X0,sK222(X0),sK223(X0))
          & sK223(X0) != sK224(X0) )
        | ~ ip(X0)
        | icext(uri_owl_FunctionalProperty,X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK222,sK223,sK224]),skolemize(X1,sK222(X0)),skolemize(X2,sK223(X0)),skolemize(X3,sK224(X0))],[f1417]) ).

fof(f1459,plain,
    ! [X0,X1,X2] :
      ( iext(X0,X1,X2)
      | ~ ir(X2)
      | ~ ip(X0)
      | ~ ir(X1)
      | ( iext(uri_owl_targetIndividual,sK250(X0,X1,X2),X2)
        & iext(uri_owl_assertionProperty,sK250(X0,X1,X2),X0)
        & iext(uri_owl_sourceIndividual,sK250(X0,X1,X2),X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK250]),skolemize(X3,sK250(X0,X1,X2))],[f867]) ).

fof(f1460,plain,
    ! [X2,X0,X1] :
      ( ~ iext(X1,X0,X2)
      | ip(X1) ),
    inference(cnf_transformation,[],[f572]) ).

fof(f1461,plain,
    ! [X0] : ir(X0),
    inference(cnf_transformation,[],[f2]) ).

fof(f1485,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_type,X0,X1)
      | icext(X1,X0) ),
    inference(cnf_transformation,[],[f1061]) ).

fof(f1631,plain,
    ! [X0] :
      ( ~ icext(uri_owl_NegativePropertyAssertion,X0)
      | ir(X0) ),
    inference(cnf_transformation,[],[f615]) ).

fof(f1675,plain,
    ip(uri_owl_assertionProperty),
    inference(cnf_transformation,[],[f176]) ).

fof(f1799,plain,
    ip(uri_owl_sourceIndividual),
    inference(cnf_transformation,[],[f261]) ).

fof(f1802,plain,
    ip(uri_owl_targetIndividual),
    inference(cnf_transformation,[],[f263]) ).

fof(f2320,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_differentFrom,X0,X1)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f1320]) ).

fof(f2511,plain,
    ! [X0,X6,X4,X5] :
      ( ~ icext(uri_owl_FunctionalProperty,X0)
      | ~ iext(X0,X4,X6)
      | ~ iext(X0,X4,X5)
      | X5 = X6 ),
    inference(cnf_transformation,[],[f1418]) ).

fof(f2584,plain,
    ! [X2,X0,X1] :
      ( iext(X0,X1,X2)
      | ~ ir(X2)
      | ~ ip(X0)
      | ~ ir(X1)
      | iext(uri_owl_targetIndividual,sK250(X0,X1,X2),X2) ),
    inference(cnf_transformation,[],[f1459]) ).

fof(f2585,plain,
    ! [X2,X0,X1] :
      ( iext(X0,X1,X2)
      | ~ ir(X2)
      | ~ ip(X0)
      | ~ ir(X1)
      | iext(uri_owl_assertionProperty,sK250(X0,X1,X2),X0) ),
    inference(cnf_transformation,[],[f1459]) ).

fof(f2586,plain,
    ! [X2,X0,X1] :
      ( iext(X0,X1,X2)
      | ~ ir(X2)
      | ~ ip(X0)
      | ~ ir(X1)
      | iext(uri_owl_sourceIndividual,sK250(X0,X1,X2),X1) ),
    inference(cnf_transformation,[],[f1459]) ).

fof(f2587,plain,
    ! [X2,X3,X0,X1] :
      ( ~ iext(uri_owl_targetIndividual,X0,X3)
      | ~ iext(uri_owl_assertionProperty,X0,X1)
      | ~ iext(uri_owl_sourceIndividual,X0,X2)
      | ~ iext(X1,X2,X3) ),
    inference(cnf_transformation,[],[f869]) ).

fof(f2749,plain,
    ! [X0] :
      ( ~ iext(uri_owl_targetIndividual,X0,uri_ex_o2)
      | ~ iext(uri_owl_assertionProperty,X0,uri_ex_p)
      | ~ iext(uri_owl_sourceIndividual,X0,uri_ex_s) ),
    inference(cnf_transformation,[],[f980]) ).

fof(f2750,plain,
    iext(uri_owl_differentFrom,uri_ex_o2,uri_ex_o1),
    inference(cnf_transformation,[],[f561]) ).

fof(f2751,plain,
    iext(uri_ex_p,uri_ex_s,uri_ex_o1),
    inference(cnf_transformation,[],[f561]) ).

fof(f2752,plain,
    iext(uri_rdf_type,uri_ex_p,uri_owl_FunctionalProperty),
    inference(cnf_transformation,[],[f561]) ).

fof(f2759,plain,
    ! [X1] : ~ iext(uri_owl_differentFrom,X1,X1),
    inference(equality_resolution,[],[f2320]) ).

tcf(c_49,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ip(X0)
      | ~ iext(X0,X1,X2) ),
    inference(cnf_transformation,[],[f1460]) ).

tcf(c_50,plain,
    ! [X0: $i] : ir(X0),
    inference(cnf_transformation,[],[f1461]) ).

tcf(c_75,plain,
    ! [X0: $i,X1: $i] :
      ( icext(X1,X0)
      | ~ iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[],[f1485]) ).

tcf(c_220,plain,
    ! [X0: $i] :
      ( ir(X0)
      | ~ icext(uri_owl_NegativePropertyAssertion,X0) ),
    inference(cnf_transformation,[],[f1631]) ).

tcf(c_264,plain,
    ip(uri_owl_assertionProperty),
    inference(cnf_transformation,[],[f1675]) ).

tcf(c_388,plain,
    ip(uri_owl_sourceIndividual),
    inference(cnf_transformation,[],[f1799]) ).

tcf(c_391,plain,
    ip(uri_owl_targetIndividual),
    inference(cnf_transformation,[],[f1802]) ).

tcf(c_910,plain,
    ! [X0: $i] : ~ iext(uri_owl_differentFrom,X0,X0),
    inference(cnf_transformation,[],[f2759]) ).

tcf(c_1092,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X2 = X3 )
      | ~ icext(uri_owl_FunctionalProperty,X0)
      | ~ iext(X0,X1,X3)
      | ~ iext(X0,X1,X2) ),
    inference(cnf_transformation,[],[f2511]) ).

tcf(c_1161,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( iext(X0,X1,X2)
      | iext(uri_owl_sourceIndividual,sK250(X0,X1,X2),X1)
      | ~ ir(X2)
      | ~ ir(X1)
      | ~ ip(X0) ),
    inference(cnf_transformation,[],[f2586]) ).

tcf(c_1162,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( iext(X0,X1,X2)
      | iext(uri_owl_assertionProperty,sK250(X0,X1,X2),X0)
      | ~ ir(X2)
      | ~ ir(X1)
      | ~ ip(X0) ),
    inference(cnf_transformation,[],[f2585]) ).

tcf(c_1163,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( iext(X0,X1,X2)
      | iext(uri_owl_targetIndividual,sK250(X0,X1,X2),X2)
      | ~ ir(X2)
      | ~ ir(X1)
      | ~ ip(X0) ),
    inference(cnf_transformation,[],[f2584]) ).

tcf(c_1164,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ iext(uri_owl_targetIndividual,X3,X2)
      | ~ iext(uri_owl_sourceIndividual,X3,X1)
      | ~ iext(uri_owl_assertionProperty,X3,X0)
      | ~ iext(X0,X1,X2) ),
    inference(cnf_transformation,[],[f2587]) ).

tcf(c_1326,negated_conjecture,
    ! [X0: $i] :
      ( ~ iext(uri_owl_targetIndividual,X0,uri_ex_o2)
      | ~ iext(uri_owl_sourceIndividual,X0,uri_ex_s)
      | ~ iext(uri_owl_assertionProperty,X0,uri_ex_p) ),
    inference(cnf_transformation,[],[f2749]) ).

tcf(c_1327,plain,
    iext(uri_rdf_type,uri_ex_p,uri_owl_FunctionalProperty),
    inference(cnf_transformation,[],[f2752]) ).

tcf(c_1328,plain,
    iext(uri_ex_p,uri_ex_s,uri_ex_o1),
    inference(cnf_transformation,[],[f2751]) ).

tcf(c_1329,plain,
    iext(uri_owl_differentFrom,uri_ex_o2,uri_ex_o1),
    inference(cnf_transformation,[],[f2750]) ).

tcf(c_1429,plain,
    ip(uri_ex_p),
    inference(superposition,[status(thm)],[c_1328,c_49]) ).

tcf(c_1451,plain,
    icext(uri_owl_FunctionalProperty,uri_ex_p),
    inference(superposition,[status(thm)],[c_1327,c_75]) ).

tcf(c_1474,plain,
    ! [X0: $i] :
      ( ( X0 = uri_ex_o1 )
      | ~ icext(uri_owl_FunctionalProperty,uri_ex_p)
      | ~ iext(uri_ex_p,uri_ex_s,X0) ),
    inference(superposition,[status(thm)],[c_1328,c_1092]) ).

tcf(c_1502,plain,
    ! [X0: $i] :
      ( ( X0 = uri_ex_o1 )
      | ~ iext(uri_ex_p,uri_ex_s,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_1474,c_1451,c_1474]) ).

tcf(c_2961,plain,
    ! [X0: $i] : ir(X0),
    inference(global_subsumption_just,[status(thm)],[c_220,c_50]) ).

tcf(c_3074,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( iext(X0,X1,X2)
      | iext(uri_owl_targetIndividual,sK250(X0,X1,X2),X2)
      | ~ ip(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1163,c_2961,c_2961]) ).

tcf(c_3081,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( iext(X1,X2,X3)
      | ~ ip(X1)
      | ~ iext(uri_owl_assertionProperty,X0,uri_owl_targetIndividual)
      | ~ iext(uri_owl_targetIndividual,X0,X3)
      | ~ iext(uri_owl_sourceIndividual,X0,sK250(X1,X2,X3)) ),
    inference(superposition,[status(thm)],[c_3074,c_1164]) ).

tcf(c_3095,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( iext(X0,X1,X2)
      | iext(uri_owl_assertionProperty,sK250(X0,X1,X2),X0)
      | ~ ip(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1162,c_2961,c_2961]) ).

tcf(c_3102,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( iext(X1,X2,X3)
      | ~ ip(X1)
      | ~ iext(uri_owl_assertionProperty,X0,uri_owl_assertionProperty)
      | ~ iext(uri_owl_targetIndividual,X0,X1)
      | ~ iext(uri_owl_sourceIndividual,X0,sK250(X1,X2,X3)) ),
    inference(superposition,[status(thm)],[c_3095,c_1164]) ).

tcf(c_3109,plain,
    ! [X0: $i,X1: $i] :
      ( iext(uri_ex_p,X0,X1)
      | ~ ip(uri_ex_p)
      | ~ iext(uri_owl_targetIndividual,sK250(uri_ex_p,X0,X1),uri_ex_o2)
      | ~ iext(uri_owl_sourceIndividual,sK250(uri_ex_p,X0,X1),uri_ex_s) ),
    inference(superposition,[status(thm)],[c_3095,c_1326]) ).

tcf(c_3120,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( iext(X0,X1,X2)
      | iext(uri_owl_sourceIndividual,sK250(X0,X1,X2),X1)
      | ~ ip(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1161,c_2961,c_2961]) ).

tcf(c_3127,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( iext(X1,X2,X3)
      | ~ ip(X1)
      | ~ iext(uri_owl_assertionProperty,X0,uri_owl_sourceIndividual)
      | ~ iext(uri_owl_targetIndividual,X0,X2)
      | ~ iext(uri_owl_sourceIndividual,X0,sK250(X1,X2,X3)) ),
    inference(superposition,[status(thm)],[c_3120,c_1164]) ).

tcf(c_3448,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( iext(X1,X2,X3)
      | iext(X0,sK250(X1,X2,X3),X4)
      | ~ ip(X1)
      | ~ ip(X0)
      | ~ iext(uri_owl_assertionProperty,sK250(X0,sK250(X1,X2,X3),X4),uri_owl_targetIndividual)
      | ~ iext(uri_owl_targetIndividual,sK250(X0,sK250(X1,X2,X3),X4),X3) ),
    inference(superposition,[status(thm)],[c_3120,c_3081]) ).

tcf(c_3558,plain,
    ! [X0: $i,X1: $i] :
      ( iext(uri_ex_p,X0,X1)
      | ~ iext(uri_owl_sourceIndividual,sK250(uri_ex_p,X0,X1),uri_ex_s)
      | ~ iext(uri_owl_targetIndividual,sK250(uri_ex_p,X0,X1),uri_ex_o2) ),
    inference(global_subsumption_just,[status(thm)],[c_3109,c_1429,c_3109]) ).

tcf(c_3559,plain,
    ! [X0: $i,X1: $i] :
      ( iext(uri_ex_p,X0,X1)
      | ~ iext(uri_owl_targetIndividual,sK250(uri_ex_p,X0,X1),uri_ex_o2)
      | ~ iext(uri_owl_sourceIndividual,sK250(uri_ex_p,X0,X1),uri_ex_s) ),
    inference(renaming,[status(thm)],[c_3558]) ).

tcf(c_3569,plain,
    ! [X0: $i] :
      ( iext(uri_ex_p,uri_ex_s,X0)
      | ~ ip(uri_ex_p)
      | ~ iext(uri_owl_targetIndividual,sK250(uri_ex_p,uri_ex_s,X0),uri_ex_o2) ),
    inference(superposition,[status(thm)],[c_3120,c_3559]) ).

tcf(c_3616,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( iext(X1,X2,X3)
      | iext(X0,sK250(X1,X2,X3),X4)
      | ~ ip(X1)
      | ~ ip(X0)
      | ~ iext(uri_owl_assertionProperty,sK250(X0,sK250(X1,X2,X3),X4),uri_owl_assertionProperty)
      | ~ iext(uri_owl_targetIndividual,sK250(X0,sK250(X1,X2,X3),X4),X1) ),
    inference(superposition,[status(thm)],[c_3120,c_3102]) ).

tcf(c_3823,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( iext(X1,X2,X3)
      | iext(X0,sK250(X1,X2,X3),X4)
      | ~ ip(X1)
      | ~ ip(X0)
      | ~ iext(uri_owl_assertionProperty,sK250(X0,sK250(X1,X2,X3),X4),uri_owl_sourceIndividual)
      | ~ iext(uri_owl_targetIndividual,sK250(X0,sK250(X1,X2,X3),X4),X2) ),
    inference(superposition,[status(thm)],[c_3120,c_3127]) ).

tcf(c_4414,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( iext(X1,X2,X3)
      | iext(X0,sK250(X1,X2,X3),X3)
      | ~ ip(X1)
      | ~ ip(X0)
      | ~ iext(uri_owl_assertionProperty,sK250(X0,sK250(X1,X2,X3),X3),uri_owl_targetIndividual) ),
    inference(superposition,[status(thm)],[c_3074,c_3448]) ).

tcf(c_4874,plain,
    ! [X0: $i] :
      ( iext(uri_ex_p,uri_ex_s,X0)
      | ~ iext(uri_owl_targetIndividual,sK250(uri_ex_p,uri_ex_s,X0),uri_ex_o2) ),
    inference(global_subsumption_just,[status(thm)],[c_3569,c_1429,c_3569]) ).

tcf(c_4884,plain,
    ( iext(uri_ex_p,uri_ex_s,uri_ex_o2)
    | ~ ip(uri_ex_p) ),
    inference(superposition,[status(thm)],[c_3074,c_4874]) ).

tcf(c_5061,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( iext(X1,X2,X3)
      | iext(X0,sK250(X1,X2,X3),X1)
      | ~ ip(X1)
      | ~ ip(X0)
      | ~ iext(uri_owl_assertionProperty,sK250(X0,sK250(X1,X2,X3),X1),uri_owl_assertionProperty) ),
    inference(superposition,[status(thm)],[c_3074,c_3616]) ).

tcf(c_5694,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( iext(X1,X2,X3)
      | iext(X0,sK250(X1,X2,X3),X2)
      | ~ ip(X1)
      | ~ ip(X0)
      | ~ iext(uri_owl_assertionProperty,sK250(X0,sK250(X1,X2,X3),X2),uri_owl_sourceIndividual) ),
    inference(superposition,[status(thm)],[c_3074,c_3823]) ).

tcf(c_7160,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( iext(X0,X1,X2)
      | iext(uri_owl_targetIndividual,sK250(X0,X1,X2),X2)
      | ~ ip(uri_owl_targetIndividual)
      | ~ ip(X0) ),
    inference(superposition,[status(thm)],[c_3095,c_4414]) ).

tcf(c_8130,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( iext(X0,X1,X2)
      | iext(uri_owl_assertionProperty,sK250(X0,X1,X2),X0)
      | ~ ip(uri_owl_assertionProperty)
      | ~ ip(X0) ),
    inference(superposition,[status(thm)],[c_3095,c_5061]) ).

tcf(c_11193,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( iext(X0,X1,X2)
      | iext(uri_owl_sourceIndividual,sK250(X0,X1,X2),X1)
      | ~ ip(uri_owl_sourceIndividual)
      | ~ ip(X0) ),
    inference(superposition,[status(thm)],[c_3095,c_5694]) ).

tcf(c_12868,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( iext(X0,X1,X2)
      | iext(uri_owl_targetIndividual,sK250(X0,X1,X2),X2)
      | ~ ip(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_7160,c_391,c_7160]) ).

tcf(c_15471,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( iext(X0,X1,X2)
      | iext(uri_owl_assertionProperty,sK250(X0,X1,X2),X0)
      | ~ ip(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_8130,c_264,c_8130]) ).

tcf(c_17827,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( iext(X0,X1,X2)
      | iext(uri_owl_sourceIndividual,sK250(X0,X1,X2),X1)
      | ~ ip(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_11193,c_388,c_11193]) ).

tcf(c_20700,plain,
    ! [X0: $i] :
      ( ( X0 = uri_ex_o1 )
      | ~ icext(uri_owl_FunctionalProperty,uri_ex_p)
      | ~ iext(uri_ex_p,uri_ex_s,X0) ),
    inference(superposition,[status(thm)],[c_1328,c_1092]) ).

tcf(c_20715,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( iext(X0,X1,X2)
      | iext(uri_owl_targetIndividual,sK250(X0,X1,X2),X2)
      | ~ ip(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_1163,c_12868]) ).

tcf(c_20728,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( iext(X0,X1,X2)
      | iext(uri_owl_assertionProperty,sK250(X0,X1,X2),X0)
      | ~ ip(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_1162,c_15471]) ).

tcf(c_20743,plain,
    ! [X0: $i,X1: $i] :
      ( iext(uri_ex_p,X0,X1)
      | ~ ip(uri_ex_p)
      | ~ iext(uri_owl_targetIndividual,sK250(uri_ex_p,X0,X1),uri_ex_o2)
      | ~ iext(uri_owl_sourceIndividual,sK250(uri_ex_p,X0,X1),uri_ex_s) ),
    inference(superposition,[status(thm)],[c_20728,c_1326]) ).

tcf(c_20744,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( iext(X0,X1,X2)
      | iext(uri_owl_sourceIndividual,sK250(X0,X1,X2),X1)
      | ~ ip(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_1161,c_17827]) ).

tcf(c_20807,plain,
    ! [X0: $i] :
      ( ( X0 = uri_ex_o1 )
      | ~ iext(uri_ex_p,uri_ex_s,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_20700,c_1502]) ).

tcf(c_21173,plain,
    ! [X0: $i,X1: $i] :
      ( iext(uri_ex_p,X0,X1)
      | ~ iext(uri_owl_sourceIndividual,sK250(uri_ex_p,X0,X1),uri_ex_s)
      | ~ iext(uri_owl_targetIndividual,sK250(uri_ex_p,X0,X1),uri_ex_o2) ),
    inference(global_subsumption_just,[status(thm)],[c_20743,c_1429,c_3109]) ).

tcf(c_21174,plain,
    ! [X0: $i,X1: $i] :
      ( iext(uri_ex_p,X0,X1)
      | ~ iext(uri_owl_targetIndividual,sK250(uri_ex_p,X0,X1),uri_ex_o2)
      | ~ iext(uri_owl_sourceIndividual,sK250(uri_ex_p,X0,X1),uri_ex_s) ),
    inference(renaming,[status(thm)],[c_21173]) ).

tcf(c_21183,plain,
    ! [X0: $i] :
      ( iext(uri_ex_p,uri_ex_s,X0)
      | ~ ip(uri_ex_p)
      | ~ iext(uri_owl_targetIndividual,sK250(uri_ex_p,uri_ex_s,X0),uri_ex_o2) ),
    inference(superposition,[status(thm)],[c_20744,c_21174]) ).

tcf(c_22131,plain,
    ! [X0: $i] :
      ( iext(uri_ex_p,uri_ex_s,X0)
      | ~ iext(uri_owl_targetIndividual,sK250(uri_ex_p,uri_ex_s,X0),uri_ex_o2) ),
    inference(global_subsumption_just,[status(thm)],[c_21183,c_4874]) ).

tcf(c_22138,plain,
    ( iext(uri_ex_p,uri_ex_s,uri_ex_o2)
    | ~ ip(uri_ex_p) ),
    inference(superposition,[status(thm)],[c_20715,c_22131]) ).

tcf(c_22926,plain,
    iext(uri_ex_p,uri_ex_s,uri_ex_o2),
    inference(global_subsumption_just,[status(thm)],[c_22138,c_1429,c_4884]) ).

tcf(c_22933,plain,
    uri_ex_o2 = uri_ex_o1,
    inference(superposition,[status(thm)],[c_22926,c_20807]) ).

tcf(c_22951,plain,
    iext(uri_owl_differentFrom,uri_ex_o2,uri_ex_o2),
    inference(demodulation,[status(thm)],[c_1329,c_22933]) ).

tcf(c_23134,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_22951,c_910]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWB071+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37  % Computer : n007.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Thu Sep 24 15:42:37 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.41  Running first-order theorem proving
% 0.10/0.41  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.42  
% 0.10/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42  
% 0.10/0.42  % Detected problem language: tptp
% 0.10/0.43  % Proving...
% 10.66/2.21  % SZS status Started for theBenchmark.p
% 10.66/2.21  % SZS status Theorem for theBenchmark.p
% 10.66/2.21  
% 10.66/2.21  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 10.66/2.21  
% 10.66/2.21  % ------  iProver source info
% 10.66/2.21  
% 10.66/2.21  % git: date: 2026-07-19 20:42:38 +0200
% 10.66/2.21  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 10.66/2.21  % git: non_committed_changes: false
% 10.66/2.21  
% 10.66/2.21  % ------ Parsing...
% 10.66/2.21  % ------ Clausification by vclausify_rel  & Parsing by iProver...
% 10.66/2.21  % ------ Proving...
% 10.66/2.21  % ------ Problem Properties 
% 10.66/2.21  
% 10.66/2.21  % 
% 10.66/2.21  % clauses                               1281
% 10.66/2.21  % conjectures                           1
% 10.66/2.21  % EPR                                   820
% 10.66/2.21  % Horn                                  1006
% 10.66/2.21  % unary                                 209
% 10.66/2.21  % binary                                547
% 10.66/2.21  % lits                                  4064
% 10.66/2.21  % lits eq                               197
% 10.66/2.21  % fd_pure                               0
% 10.66/2.21  % fd_pseudo                             0
% 10.66/2.21  % fd_cond                               0
% 10.66/2.21  % fd_pseudo_cond                        66
% 10.66/2.21  % AC symbols                            0
% 10.66/2.21  
% 10.66/2.21  % ------ Input Options Time Limit: Unbounded
% 10.66/2.21  
% 10.66/2.21  
% 10.66/2.21  % ------ 
% 10.66/2.21  % Current options:
% 10.66/2.21  % ------ 
% 10.66/2.21  
% 10.66/2.21  
% 10.66/2.21  % 
% 10.66/2.21  
% 10.66/2.21  % ------ Proving...
% 10.66/2.21  % 
% 10.66/2.21  
% 10.66/2.21  % ------ Proving...
% 10.66/2.21  % 
% 10.66/2.21  
% 10.66/2.21  % ------ Proving...
% 10.66/2.21  % 
% 10.66/2.21  
% 10.66/2.21  % ------ Proving...
% 10.66/2.21  % 
% 10.66/2.21  
% 10.66/2.21  % ------ Proving...
% 10.66/2.21  % 
% 10.66/2.21  
% 10.66/2.21  % ------ Proving...
% 10.66/2.21  % 
% 10.66/2.21  
% 10.66/2.21  % ------ Proving...
% 10.66/2.21  % 
% 10.66/2.21  
% 10.66/2.21  % ------ Proving...
% 10.66/2.21  % 
% 10.66/2.21  
% 10.66/2.21  % ------ Proving...
% 10.66/2.21  % 
% 10.66/2.21  
% 10.66/2.21  % SZS status Theorem for theBenchmark.p
% 10.66/2.21  
% 10.66/2.21  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.66/2.21  
% 10.66/2.21  
%------------------------------------------------------------------------------