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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWB010+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n008.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 : Tue Sep 29 01:00:01 PM UTC 2026

% Result   : Theorem 2.47s 1.30s
% Output   : Refutation 3.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   81 (  16 unt;   0 def)
%            Number of atoms       :  336 (  20 equ)
%            Maximal formula atoms :   14 (   4 avg)
%            Number of connectives :  410 ( 155   ~; 166   |;  70   &)
%                                         (  12 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 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; 0-3 aty)
%            Number of variables   :  174 ( 160   !;  14   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X0] : ir(X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',simple_ir) ).

fof(f25,axiom,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
    <=> icext(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).

fof(f243,axiom,
    ! [X0,X1] :
      ( iext(uri_owl_onProperty,X0,X1)
     => ( icext(uri_owl_Restriction,X0)
        & ip(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_onproperty_ext) ).

fof(f262,axiom,
    ! [X0,X1] :
      ( iext(uri_owl_targetIndividual,X0,X1)
     => ( icext(uri_owl_NegativePropertyAssertion,X0)
        & ir(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_targetindividual_ext) ).

fof(f278,axiom,
    ! [X0,X1] :
      ( iext(uri_owl_complementOf,X0,X1)
     => ( ic(X0)
        & ic(X1)
        & ! [X2] :
            ( icext(X0,X2)
          <=> ~ icext(X1,X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_complementof_class) ).

fof(f295,axiom,
    ! [X0,X1,X2] :
      ( ( iext(uri_rdf_first,X1,X2)
        & iext(uri_rdf_rest,X1,uri_rdf_nil) )
     => ( iext(uri_owl_oneOf,X0,X1)
      <=> ( ic(X0)
          & ! [X3] :
              ( icext(X0,X3)
            <=> X3 = X2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_enum_class_001) ).

fof(f301,axiom,
    ! [X0,X1,X2] :
      ( ( iext(uri_owl_allValuesFrom,X0,X2)
        & iext(uri_owl_onProperty,X0,X1) )
     => ! [X3] :
          ( icext(X0,X3)
        <=> ! [X4] :
              ( iext(X1,X3,X4)
             => icext(X2,X4) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_restrict_allvaluesfrom) ).

fof(f405,axiom,
    ! [X0,X1,X2] :
      ( ( ir(X1)
        & ip(X0)
        & ir(X2)
        & ~ iext(X0,X1,X2) )
     => ? [X3] :
          ( iext(uri_owl_sourceIndividual,X3,X1)
          & iext(uri_owl_assertionProperty,X3,X0)
          & iext(uri_owl_targetIndividual,X3,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_npa_object_fi) ).

fof(f559,conjecture,
    ? [X0] :
      ( iext(uri_rdf_type,X0,uri_owl_NegativePropertyAssertion)
      & iext(uri_owl_sourceIndividual,X0,uri_ex_s)
      & iext(uri_owl_assertionProperty,X0,uri_ex_p)
      & iext(uri_owl_targetIndividual,X0,uri_ex_o) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_010_Negative_Property_Assertions) ).

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

fof(f561,axiom,
    ? [X0,X1,X2,X3] :
      ( iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
      & iext(uri_rdf_type,uri_ex_s,X0)
      & iext(uri_owl_onProperty,X0,uri_ex_p)
      & iext(uri_owl_allValuesFrom,X0,X1)
      & iext(uri_owl_complementOf,X1,X2)
      & iext(uri_owl_oneOf,X2,X3)
      & iext(uri_rdf_first,X3,uri_ex_o)
      & iext(uri_rdf_rest,X3,uri_rdf_nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_010_Negative_Property_Assertions) ).

fof(f562,plain,
    ! [X0] :
      ( ~ iext(uri_rdf_type,X0,uri_owl_NegativePropertyAssertion)
      | ~ iext(uri_owl_sourceIndividual,X0,uri_ex_s)
      | ~ iext(uri_owl_assertionProperty,X0,uri_ex_p)
      | ~ iext(uri_owl_targetIndividual,X0,uri_ex_o) ),
    inference(ennf_transformation,[],[f560]) ).

fof(f568,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( iext(uri_owl_sourceIndividual,X3,X1)
          & iext(uri_owl_assertionProperty,X3,X0)
          & iext(uri_owl_targetIndividual,X3,X2) )
      | ~ ir(X1)
      | ~ ip(X0)
      | ~ ir(X2)
      | iext(X0,X1,X2) ),
    inference(ennf_transformation,[],[f405]) ).

fof(f569,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( iext(uri_owl_sourceIndividual,X3,X1)
          & iext(uri_owl_assertionProperty,X3,X0)
          & iext(uri_owl_targetIndividual,X3,X2) )
      | ~ ir(X1)
      | ~ ip(X0)
      | ~ ir(X2)
      | iext(X0,X1,X2) ),
    inference(flattening,[],[f568]) ).

fof(f570,plain,
    ! [X0,X1] :
      ( ( icext(uri_owl_NegativePropertyAssertion,X0)
        & ir(X1) )
      | ~ iext(uri_owl_targetIndividual,X0,X1) ),
    inference(ennf_transformation,[],[f262]) ).

fof(f578,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( icext(X0,X3)
        <=> ! [X4] :
              ( icext(X2,X4)
              | ~ iext(X1,X3,X4) ) )
      | ~ iext(uri_owl_allValuesFrom,X0,X2)
      | ~ iext(uri_owl_onProperty,X0,X1) ),
    inference(ennf_transformation,[],[f301]) ).

fof(f579,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( icext(X0,X3)
        <=> ! [X4] :
              ( icext(X2,X4)
              | ~ iext(X1,X3,X4) ) )
      | ~ iext(uri_owl_allValuesFrom,X0,X2)
      | ~ iext(uri_owl_onProperty,X0,X1) ),
    inference(flattening,[],[f578]) ).

fof(f581,plain,
    ! [X0,X1] :
      ( ( ic(X0)
        & ic(X1)
        & ! [X2] :
            ( icext(X0,X2)
          <=> ~ icext(X1,X2) ) )
      | ~ iext(uri_owl_complementOf,X0,X1) ),
    inference(ennf_transformation,[],[f278]) ).

fof(f593,plain,
    ! [X0,X1,X2] :
      ( ( iext(uri_owl_oneOf,X0,X1)
      <=> ( ic(X0)
          & ! [X3] :
              ( icext(X0,X3)
            <=> X3 = X2 ) ) )
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
    inference(ennf_transformation,[],[f295]) ).

fof(f594,plain,
    ! [X0,X1,X2] :
      ( ( iext(uri_owl_oneOf,X0,X1)
      <=> ( ic(X0)
          & ! [X3] :
              ( icext(X0,X3)
            <=> X3 = X2 ) ) )
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
    inference(flattening,[],[f593]) ).

fof(f596,plain,
    ! [X0,X1] :
      ( ( icext(uri_owl_Restriction,X0)
        & ip(X1) )
      | ~ iext(uri_owl_onProperty,X0,X1) ),
    inference(ennf_transformation,[],[f243]) ).

fof(f610,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(f611,plain,
    ! [X0,X1,X2] :
      ( ( iext(uri_owl_sourceIndividual,sK2(X0,X1,X2),X1)
        & iext(uri_owl_assertionProperty,sK2(X0,X1,X2),X0)
        & iext(uri_owl_targetIndividual,sK2(X0,X1,X2),X2) )
      | ~ ir(X1)
      | ~ ip(X0)
      | ~ ir(X2)
      | iext(X0,X1,X2) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X3,sK2(X0,X1,X2))],[f569]) ).

fof(f612,plain,
    ( iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    & iext(uri_rdf_type,uri_ex_s,sK3)
    & iext(uri_owl_onProperty,sK3,uri_ex_p)
    & iext(uri_owl_allValuesFrom,sK3,sK4)
    & iext(uri_owl_complementOf,sK4,sK5)
    & iext(uri_owl_oneOf,sK5,sK6)
    & iext(uri_rdf_first,sK6,uri_ex_o)
    & iext(uri_rdf_rest,sK6,uri_rdf_nil) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5),skolemize(X3,sK6)],[f561]) ).

fof(f615,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( ( icext(X0,X3)
            | ? [X4] :
                ( ~ icext(X2,X4)
                & iext(X1,X3,X4) ) )
          & ( ! [X4] :
                ( icext(X2,X4)
                | ~ iext(X1,X3,X4) )
            | ~ icext(X0,X3) ) )
      | ~ iext(uri_owl_allValuesFrom,X0,X2)
      | ~ iext(uri_owl_onProperty,X0,X1) ),
    inference(nnf_transformation,[],[f579]) ).

fof(f616,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( ( icext(X0,X3)
            | ? [X4] :
                ( ~ icext(X2,X4)
                & iext(X1,X3,X4) ) )
          & ( ! [X5] :
                ( icext(X2,X5)
                | ~ iext(X1,X3,X5) )
            | ~ icext(X0,X3) ) )
      | ~ iext(uri_owl_allValuesFrom,X0,X2)
      | ~ iext(uri_owl_onProperty,X0,X1) ),
    inference(rectify,[],[f615]) ).

fof(f617,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( ( icext(X0,X3)
            | ( ~ icext(X2,sK8(X1,X2,X3))
              & iext(X1,X3,sK8(X1,X2,X3)) ) )
          & ( ! [X5] :
                ( icext(X2,X5)
                | ~ iext(X1,X3,X5) )
            | ~ icext(X0,X3) ) )
      | ~ iext(uri_owl_allValuesFrom,X0,X2)
      | ~ iext(uri_owl_onProperty,X0,X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X4,sK8(X1,X2,X3))],[f616]) ).

fof(f618,plain,
    ! [X0,X1] :
      ( ( ic(X0)
        & ic(X1)
        & ! [X2] :
            ( ( icext(X0,X2)
              | icext(X1,X2) )
            & ( ~ icext(X1,X2)
              | ~ icext(X0,X2) ) ) )
      | ~ iext(uri_owl_complementOf,X0,X1) ),
    inference(nnf_transformation,[],[f581]) ).

fof(f629,plain,
    ! [X0,X1,X2] :
      ( ( ( iext(uri_owl_oneOf,X0,X1)
          | ~ ic(X0)
          | ? [X3] :
              ( ( X2 != X3
                | ~ icext(X0,X3) )
              & ( X3 = X2
                | icext(X0,X3) ) ) )
        & ( ( ic(X0)
            & ! [X3] :
                ( ( icext(X0,X3)
                  | X2 != X3 )
                & ( X3 = X2
                  | ~ icext(X0,X3) ) ) )
          | ~ iext(uri_owl_oneOf,X0,X1) ) )
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
    inference(nnf_transformation,[],[f594]) ).

fof(f630,plain,
    ! [X0,X1,X2] :
      ( ( ( iext(uri_owl_oneOf,X0,X1)
          | ~ ic(X0)
          | ? [X3] :
              ( ( X2 != X3
                | ~ icext(X0,X3) )
              & ( X3 = X2
                | icext(X0,X3) ) ) )
        & ( ( ic(X0)
            & ! [X3] :
                ( ( icext(X0,X3)
                  | X2 != X3 )
                & ( X3 = X2
                  | ~ icext(X0,X3) ) ) )
          | ~ iext(uri_owl_oneOf,X0,X1) ) )
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
    inference(flattening,[],[f629]) ).

fof(f631,plain,
    ! [X0,X1,X2] :
      ( ( ( iext(uri_owl_oneOf,X0,X1)
          | ~ ic(X0)
          | ? [X3] :
              ( ( X2 != X3
                | ~ icext(X0,X3) )
              & ( X3 = X2
                | icext(X0,X3) ) ) )
        & ( ( ic(X0)
            & ! [X4] :
                ( ( icext(X0,X4)
                  | X2 != X4 )
                & ( X2 = X4
                  | ~ icext(X0,X4) ) ) )
          | ~ iext(uri_owl_oneOf,X0,X1) ) )
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
    inference(rectify,[],[f630]) ).

fof(f632,plain,
    ! [X0,X1,X2] :
      ( ( ( iext(uri_owl_oneOf,X0,X1)
          | ~ ic(X0)
          | ( ( sK11(X0,X2) != X2
              | ~ icext(X0,sK11(X0,X2)) )
            & ( sK11(X0,X2) = X2
              | icext(X0,sK11(X0,X2)) ) ) )
        & ( ( ic(X0)
            & ! [X4] :
                ( ( icext(X0,X4)
                  | X2 != X4 )
                & ( X2 = X4
                  | ~ icext(X0,X4) ) ) )
          | ~ iext(uri_owl_oneOf,X0,X1) ) )
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X3,sK11(X0,X2))],[f631]) ).

fof(f648,plain,
    ! [X0] :
      ( ~ iext(uri_owl_targetIndividual,X0,uri_ex_o)
      | ~ iext(uri_owl_sourceIndividual,X0,uri_ex_s)
      | ~ iext(uri_owl_assertionProperty,X0,uri_ex_p)
      | ~ iext(uri_rdf_type,X0,uri_owl_NegativePropertyAssertion) ),
    inference(cnf_transformation,[],[f562]) ).

fof(f649,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_type,X0,X1)
      | icext(X1,X0) ),
    inference(cnf_transformation,[],[f610]) ).

fof(f650,plain,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
      | ~ icext(X1,X0) ),
    inference(cnf_transformation,[],[f610]) ).

fof(f660,plain,
    ! [X2,X0,X1] :
      ( iext(uri_owl_targetIndividual,sK2(X0,X1,X2),X2)
      | ~ ir(X1)
      | ~ ip(X0)
      | ~ ir(X2)
      | iext(X0,X1,X2) ),
    inference(cnf_transformation,[],[f611]) ).

fof(f661,plain,
    ! [X2,X0,X1] :
      ( iext(uri_owl_assertionProperty,sK2(X0,X1,X2),X0)
      | ~ ir(X1)
      | ~ ip(X0)
      | ~ ir(X2)
      | iext(X0,X1,X2) ),
    inference(cnf_transformation,[],[f611]) ).

fof(f662,plain,
    ! [X2,X0,X1] :
      ( iext(uri_owl_sourceIndividual,sK2(X0,X1,X2),X1)
      | ~ ir(X1)
      | ~ ip(X0)
      | ~ ir(X2)
      | iext(X0,X1,X2) ),
    inference(cnf_transformation,[],[f611]) ).

fof(f665,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_targetIndividual,X0,X1)
      | icext(uri_owl_NegativePropertyAssertion,X0) ),
    inference(cnf_transformation,[],[f570]) ).

fof(f666,plain,
    iext(uri_rdf_rest,sK6,uri_rdf_nil),
    inference(cnf_transformation,[],[f612]) ).

fof(f667,plain,
    iext(uri_rdf_first,sK6,uri_ex_o),
    inference(cnf_transformation,[],[f612]) ).

fof(f668,plain,
    iext(uri_owl_oneOf,sK5,sK6),
    inference(cnf_transformation,[],[f612]) ).

fof(f669,plain,
    iext(uri_owl_complementOf,sK4,sK5),
    inference(cnf_transformation,[],[f612]) ).

fof(f670,plain,
    iext(uri_owl_allValuesFrom,sK3,sK4),
    inference(cnf_transformation,[],[f612]) ).

fof(f671,plain,
    iext(uri_owl_onProperty,sK3,uri_ex_p),
    inference(cnf_transformation,[],[f612]) ).

fof(f672,plain,
    iext(uri_rdf_type,uri_ex_s,sK3),
    inference(cnf_transformation,[],[f612]) ).

fof(f682,plain,
    ! [X0] : ir(X0),
    inference(cnf_transformation,[],[f2]) ).

fof(f687,plain,
    ! [X2,X3,X0,X1,X5] :
      ( ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(X1,X3,X5)
      | ~ icext(X0,X3)
      | ~ iext(uri_owl_allValuesFrom,X0,X2)
      | icext(X2,X5) ),
    inference(cnf_transformation,[],[f617]) ).

fof(f693,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_owl_complementOf,X0,X1)
      | ~ icext(X0,X2)
      | ~ icext(X1,X2) ),
    inference(cnf_transformation,[],[f618]) ).

fof(f723,plain,
    ! [X2,X0,X1,X4] :
      ( icext(X0,X4)
      | X2 != X4
      | ~ iext(uri_owl_oneOf,X0,X1)
      | ~ iext(uri_rdf_first,X1,X2)
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
    inference(cnf_transformation,[],[f632]) ).

fof(f734,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_onProperty,X0,X1)
      | ip(X1) ),
    inference(cnf_transformation,[],[f596]) ).

fof(f773,plain,
    ! [X0,X1,X4] :
      ( ~ iext(uri_owl_oneOf,X0,X1)
      | icext(X0,X4)
      | ~ iext(uri_rdf_first,X1,X4)
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
    inference(equality_resolution,[],[f723]) ).

fof(f794,plain,
    ip(uri_ex_p),
    inference(resolution,[],[f734,f671]) ).

fof(f809,plain,
    icext(sK3,uri_ex_s),
    inference(resolution,[],[f649,f672]) ).

fof(f825,plain,
    ! [X0] :
      ( ~ icext(sK5,X0)
      | ~ icext(sK4,X0) ),
    inference(resolution,[],[f693,f669]) ).

fof(f889,plain,
    ! [X0] :
      ( icext(sK5,X0)
      | ~ iext(uri_rdf_first,sK6,X0)
      | ~ iext(uri_rdf_rest,sK6,uri_rdf_nil) ),
    inference(resolution,[],[f773,f668]) ).

fof(f891,plain,
    ! [X0] :
      ( ~ iext(uri_rdf_first,sK6,X0)
      | icext(sK5,X0) ),
    inference(forward_subsumption_resolution,[],[f889,f666]) ).

fof(f894,plain,
    icext(sK5,uri_ex_o),
    inference(resolution,[],[f891,f667]) ).

fof(f896,plain,
    ~ icext(sK4,uri_ex_o),
    inference(resolution,[],[f894,f825]) ).

fof(f1020,plain,
    ! [X2,X0,X1] :
      ( iext(uri_owl_targetIndividual,sK2(X0,X1,X2),X2)
      | ~ ip(X0)
      | ~ ir(X2)
      | iext(X0,X1,X2) ),
    inference(forward_subsumption_resolution,[],[f660,f682]) ).

fof(f1021,plain,
    ! [X2,X0,X1] :
      ( iext(uri_owl_targetIndividual,sK2(X0,X1,X2),X2)
      | ~ ip(X0)
      | iext(X0,X1,X2) ),
    inference(forward_subsumption_resolution,[],[f1020,f682]) ).

fof(f1022,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_sourceIndividual,sK2(X0,X1,uri_ex_o),uri_ex_s)
      | iext(X0,X1,uri_ex_o)
      | ~ ip(X0)
      | ~ iext(uri_owl_assertionProperty,sK2(X0,X1,uri_ex_o),uri_ex_p)
      | ~ iext(uri_rdf_type,sK2(X0,X1,uri_ex_o),uri_owl_NegativePropertyAssertion) ),
    inference(resolution,[],[f1021,f648]) ).

fof(f1024,plain,
    ! [X2,X0,X1] :
      ( icext(uri_owl_NegativePropertyAssertion,sK2(X0,X1,X2))
      | iext(X0,X1,X2)
      | ~ ip(X0) ),
    inference(resolution,[],[f1021,f665]) ).

fof(f1026,plain,
    ! [X2,X0,X1] :
      ( iext(uri_owl_assertionProperty,sK2(X0,X1,X2),X0)
      | ~ ip(X0)
      | ~ ir(X2)
      | iext(X0,X1,X2) ),
    inference(forward_subsumption_resolution,[],[f661,f682]) ).

fof(f1027,plain,
    ! [X2,X0,X1] :
      ( iext(uri_owl_assertionProperty,sK2(X0,X1,X2),X0)
      | ~ ip(X0)
      | iext(X0,X1,X2) ),
    inference(forward_subsumption_resolution,[],[f1026,f682]) ).

fof(f1044,plain,
    ! [X2,X0,X1] :
      ( iext(uri_owl_sourceIndividual,sK2(X0,X1,X2),X1)
      | ~ ip(X0)
      | ~ ir(X2)
      | iext(X0,X1,X2) ),
    inference(forward_subsumption_resolution,[],[f662,f682]) ).

fof(f1045,plain,
    ! [X2,X0,X1] :
      ( iext(uri_owl_sourceIndividual,sK2(X0,X1,X2),X1)
      | ~ ip(X0)
      | iext(X0,X1,X2) ),
    inference(forward_subsumption_resolution,[],[f1044,f682]) ).

fof(f1046,plain,
    ! [X0] :
      ( ~ ip(X0)
      | iext(X0,uri_ex_s,uri_ex_o)
      | iext(X0,uri_ex_s,uri_ex_o)
      | ~ ip(X0)
      | ~ iext(uri_owl_assertionProperty,sK2(X0,uri_ex_s,uri_ex_o),uri_ex_p)
      | ~ iext(uri_rdf_type,sK2(X0,uri_ex_s,uri_ex_o),uri_owl_NegativePropertyAssertion) ),
    inference(resolution,[],[f1045,f1022]) ).

fof(f1049,plain,
    ! [X0] :
      ( ~ iext(uri_owl_assertionProperty,sK2(X0,uri_ex_s,uri_ex_o),uri_ex_p)
      | iext(X0,uri_ex_s,uri_ex_o)
      | ~ ip(X0)
      | ~ iext(uri_rdf_type,sK2(X0,uri_ex_s,uri_ex_o),uri_owl_NegativePropertyAssertion) ),
    inference(duplicate_literal_removal,[],[f1046]) ).

fof(f1050,plain,
    ( iext(uri_ex_p,uri_ex_s,uri_ex_o)
    | ~ ip(uri_ex_p)
    | ~ iext(uri_rdf_type,sK2(uri_ex_p,uri_ex_s,uri_ex_o),uri_owl_NegativePropertyAssertion)
    | ~ ip(uri_ex_p)
    | iext(uri_ex_p,uri_ex_s,uri_ex_o) ),
    inference(resolution,[],[f1049,f1027]) ).

fof(f1051,plain,
    ( iext(uri_ex_p,uri_ex_s,uri_ex_o)
    | ~ ip(uri_ex_p)
    | ~ iext(uri_rdf_type,sK2(uri_ex_p,uri_ex_s,uri_ex_o),uri_owl_NegativePropertyAssertion) ),
    inference(duplicate_literal_removal,[],[f1050]) ).

fof(f1052,plain,
    ( ~ iext(uri_rdf_type,sK2(uri_ex_p,uri_ex_s,uri_ex_o),uri_owl_NegativePropertyAssertion)
    | iext(uri_ex_p,uri_ex_s,uri_ex_o) ),
    inference(forward_subsumption_resolution,[],[f1051,f794]) ).

fof(f1057,plain,
    ( ~ icext(uri_owl_NegativePropertyAssertion,sK2(uri_ex_p,uri_ex_s,uri_ex_o))
    | iext(uri_ex_p,uri_ex_s,uri_ex_o) ),
    inference(resolution,[],[f1052,f650]) ).

fof(f1058,plain,
    ! [X2,X0,X1] :
      ( ~ iext(uri_ex_p,X0,X1)
      | ~ icext(sK3,X0)
      | ~ iext(uri_owl_allValuesFrom,sK3,X2)
      | icext(X2,X1) ),
    inference(resolution,[],[f687,f671]) ).

fof(f1381,plain,
    ( iext(uri_ex_p,uri_ex_s,uri_ex_o)
    | ~ ip(uri_ex_p)
    | iext(uri_ex_p,uri_ex_s,uri_ex_o) ),
    inference(resolution,[],[f1024,f1057]) ).

fof(f1385,plain,
    ( iext(uri_ex_p,uri_ex_s,uri_ex_o)
    | ~ ip(uri_ex_p) ),
    inference(duplicate_literal_removal,[],[f1381]) ).

fof(f1387,plain,
    iext(uri_ex_p,uri_ex_s,uri_ex_o),
    inference(forward_subsumption_resolution,[],[f1385,f794]) ).

fof(f1431,plain,
    ! [X0] :
      ( ~ icext(sK3,uri_ex_s)
      | ~ iext(uri_owl_allValuesFrom,sK3,X0)
      | icext(X0,uri_ex_o) ),
    inference(resolution,[],[f1058,f1387]) ).

fof(f1438,plain,
    ! [X0] :
      ( ~ iext(uri_owl_allValuesFrom,sK3,X0)
      | icext(X0,uri_ex_o) ),
    inference(forward_subsumption_resolution,[],[f1431,f809]) ).

fof(f1439,plain,
    icext(sK4,uri_ex_o),
    inference(resolution,[],[f1438,f670]) ).

fof(f1441,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f1439,f896]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWB010+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.39  % Computer : n008.cluster.edu
% 0.10/0.39  % Model    : x86_64 x86_64
% 0.10/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39  % Memory   : 8046.5625MB
% 0.10/0.39  % OS       : Linux 6.8.0-71-generic
% 0.10/0.39  % CPULimit : 300
% 0.10/0.39  % WCLimit  : 300
% 0.10/0.39  % DateTime : Mon Sep 28 06:59:04 UTC 2026
% 0.10/0.39  % CPUTime  : 
% 0.10/0.39  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42  Running first-order theorem proving
% 0.10/0.42  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.47/1.30  % (2061605)Detected formulas, will run a generic FOF schedule.
% 2.47/1.30  % (2061615)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2219995568:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.47/1.30  % (2061612)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2077256422:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.47/1.30  % (2061614)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2534707242:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.47/1.30  % (2061613)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3011407607:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.47/1.30  % (2061610)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3065401434:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.47/1.30  % (2061611)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2600530523:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.47/1.30  % (2061613)Refutation not found, incomplete strategy
% 2.47/1.30  % (2061613)------------------------------
% 2.47/1.30  % (2061613)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.47/1.30  % (2061613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/1.30  % (2061613)CaDiCaL version: 2.1.3
% 2.47/1.30  % (2061613)Termination reason: Refutation not found, incomplete strategy
% 2.47/1.30  % (2061613)Time elapsed: 0.003 s
% 2.47/1.30  % (2061613)Peak memory usage: 88 MB
% 2.47/1.30  % (2061613)Instructions burned: 4 (million)
% 2.47/1.30  % (2061616)dis-21_1_sil=8000:lcm=predicate:random_seed=422270538:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.47/1.30  % (2061615)Instruction limit reached! 
% 2.47/1.30  % (2061615)------------------------------
% 2.47/1.30  % (2061615)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.47/1.30  % (2061615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/1.30  % (2061615)CaDiCaL version: 2.1.3
% 2.47/1.30  % (2061615)Termination reason: Instruction limit
% 2.47/1.30  % (2061615)Termination phase: Saturation
% 2.47/1.30  % (2061615)Time elapsed: 0.047 s
% 2.47/1.30  % (2061615)Peak memory usage: 91 MB
% 2.47/1.30  % (2061615)Instructions burned: 140 (million)
% 2.47/1.30  % (2061614)First to succeed.
% 2.47/1.30  % (2061614)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2061605"
% 2.47/1.30  % (2061616)Instruction limit reached! 
% 2.47/1.30  % (2061616)------------------------------
% 2.47/1.30  % (2061616)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.47/1.30  % (2061616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/1.30  % (2061616)CaDiCaL version: 2.1.3
% 2.47/1.30  % (2061616)Termination reason: Instruction limit
% 2.47/1.30  % (2061616)Termination phase: Saturation
% 2.47/1.30  % (2061616)Time elapsed: 0.069 s
% 2.47/1.30  % (2061616)Peak memory usage: 92 MB
% 2.47/1.30  % (2061616)Instructions burned: 131 (million)
% 2.47/1.30  % (2061624)lrs+10_1_sil=8000:sp=occurrence:random_seed=3097840080:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.47/1.30  % (2061625)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1597336803:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.47/1.30  % (2061613)------------------------------
% 2.47/1.30  % (2061613)------------------------------
% 2.47/1.30  % (2061614)Refutation found. Thanks to Tanya!
% 2.47/1.30  % SZS status Theorem for theBenchmark
% 2.47/1.30  % SZS output start Proof for theBenchmark
% See solution above
% 3.34/1.49  % (2061614)------------------------------
% 3.34/1.49  % (2061614)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.34/1.49  % (2061614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.34/1.49  % (2061614)CaDiCaL version: 2.1.3
% 3.34/1.49  % (2061614)Termination reason: Refutation
% 3.34/1.49  % (2061614)Time elapsed: 0.025 s
% 3.34/1.49  % (2061614)Peak memory usage: 89 MB
% 3.34/1.49  % (2061614)Instructions burned: 37 (million)
% 3.34/1.49  % (2061614)------------------------------
% 3.34/1.49  % (2061614)------------------------------
% 3.34/1.49  % (2061605)Success in time 0.432 s
% 3.34/1.49  % Vampire exiting
%------------------------------------------------------------------------------