TSTP Solution File: SWB065+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWB065+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n012.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 : Thu Aug 31 20:09:36 EDT 2023

% Result   : Theorem 145.82s 19.88s
% Output   : CNFRefutation 145.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   46 (  19 unt;   0 def)
%            Number of atoms       :  168 (  35 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  188 (  66   ~;  65   |;  41   &)
%                                         (  12 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;  10 con; 0-2 aty)
%            Number of variables   :   78 (   0 sgn;  55   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f25,axiom,
    ! [X3,X4] :
      ( iext(uri_rdf_type,X3,X4)
    <=> icext(X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).

fof(f295,axiom,
    ! [X10,X11,X20] :
      ( ( iext(uri_rdf_rest,X11,uri_rdf_nil)
        & iext(uri_rdf_first,X11,X20) )
     => ( iext(uri_owl_oneOf,X10,X11)
      <=> ( ! [X3] :
              ( icext(X10,X3)
            <=> X3 = X20 )
          & ic(X10) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_enum_class_001) ).

fof(f354,axiom,
    ! [X3,X6] :
      ( iext(uri_owl_sameAs,X3,X6)
    <=> X3 = X6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_sameas) ).

fof(f559,conjecture,
    iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_rdfbased_sem_eqdis_sameas_ext) ).

fof(f560,negated_conjecture,
    ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
    inference(negated_conjecture,[],[f559]) ).

fof(f561,axiom,
    ? [X41,X36] :
      ( iext(uri_rdf_type,uri_ex_w,X36)
      & iext(uri_owl_oneOf,X36,X41)
      & iext(uri_rdf_rest,X41,uri_rdf_nil)
      & iext(uri_rdf_first,X41,uri_ex_u) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_rdfbased_sem_eqdis_sameas_ext) ).

fof(f565,plain,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
    <=> icext(X1,X0) ),
    inference(rectify,[],[f25]) ).

fof(f706,plain,
    ! [X0,X1,X2] :
      ( ( iext(uri_rdf_rest,X1,uri_rdf_nil)
        & iext(uri_rdf_first,X1,X2) )
     => ( iext(uri_owl_oneOf,X0,X1)
      <=> ( ! [X3] :
              ( icext(X0,X3)
            <=> X2 = X3 )
          & ic(X0) ) ) ),
    inference(rectify,[],[f295]) ).

fof(f765,plain,
    ! [X0,X1] :
      ( iext(uri_owl_sameAs,X0,X1)
    <=> X0 = X1 ),
    inference(rectify,[],[f354]) ).

fof(f920,plain,
    ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
    inference(flattening,[],[f560]) ).

fof(f921,plain,
    ? [X0,X1] :
      ( iext(uri_rdf_type,uri_ex_w,X1)
      & iext(uri_owl_oneOf,X1,X0)
      & iext(uri_rdf_rest,X0,uri_rdf_nil)
      & iext(uri_rdf_first,X0,uri_ex_u) ),
    inference(rectify,[],[f561]) ).

fof(f1046,plain,
    ! [X0,X1,X2] :
      ( ( iext(uri_owl_oneOf,X0,X1)
      <=> ( ! [X3] :
              ( icext(X0,X3)
            <=> X2 = X3 )
          & ic(X0) ) )
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X1,X2) ),
    inference(ennf_transformation,[],[f706]) ).

fof(f1047,plain,
    ! [X0,X1,X2] :
      ( ( iext(uri_owl_oneOf,X0,X1)
      <=> ( ! [X3] :
              ( icext(X0,X3)
            <=> X2 = X3 )
          & ic(X0) ) )
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X1,X2) ),
    inference(flattening,[],[f1046]) ).

fof(f1410,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdf_type,X0,X1)
        | ~ icext(X1,X0) )
      & ( icext(X1,X0)
        | ~ iext(uri_rdf_type,X0,X1) ) ),
    inference(nnf_transformation,[],[f565]) ).

fof(f1498,plain,
    ! [X0,X1,X2] :
      ( ( ( iext(uri_owl_oneOf,X0,X1)
          | ? [X3] :
              ( ( X2 != X3
                | ~ icext(X0,X3) )
              & ( X2 = X3
                | icext(X0,X3) ) )
          | ~ ic(X0) )
        & ( ( ! [X3] :
                ( ( icext(X0,X3)
                  | X2 != X3 )
                & ( X2 = X3
                  | ~ icext(X0,X3) ) )
            & ic(X0) )
          | ~ iext(uri_owl_oneOf,X0,X1) ) )
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X1,X2) ),
    inference(nnf_transformation,[],[f1047]) ).

fof(f1499,plain,
    ! [X0,X1,X2] :
      ( ( ( iext(uri_owl_oneOf,X0,X1)
          | ? [X3] :
              ( ( X2 != X3
                | ~ icext(X0,X3) )
              & ( X2 = X3
                | icext(X0,X3) ) )
          | ~ ic(X0) )
        & ( ( ! [X3] :
                ( ( icext(X0,X3)
                  | X2 != X3 )
                & ( X2 = X3
                  | ~ icext(X0,X3) ) )
            & ic(X0) )
          | ~ iext(uri_owl_oneOf,X0,X1) ) )
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X1,X2) ),
    inference(flattening,[],[f1498]) ).

fof(f1500,plain,
    ! [X0,X1,X2] :
      ( ( ( iext(uri_owl_oneOf,X0,X1)
          | ? [X3] :
              ( ( X2 != X3
                | ~ icext(X0,X3) )
              & ( X2 = X3
                | icext(X0,X3) ) )
          | ~ ic(X0) )
        & ( ( ! [X4] :
                ( ( icext(X0,X4)
                  | X2 != X4 )
                & ( X2 = X4
                  | ~ icext(X0,X4) ) )
            & ic(X0) )
          | ~ iext(uri_owl_oneOf,X0,X1) ) )
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X1,X2) ),
    inference(rectify,[],[f1499]) ).

fof(f1501,plain,
    ! [X0,X2] :
      ( ? [X3] :
          ( ( X2 != X3
            | ~ icext(X0,X3) )
          & ( X2 = X3
            | icext(X0,X3) ) )
     => ( ( sK62(X0,X2) != X2
          | ~ icext(X0,sK62(X0,X2)) )
        & ( sK62(X0,X2) = X2
          | icext(X0,sK62(X0,X2)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f1502,plain,
    ! [X0,X1,X2] :
      ( ( ( iext(uri_owl_oneOf,X0,X1)
          | ( ( sK62(X0,X2) != X2
              | ~ icext(X0,sK62(X0,X2)) )
            & ( sK62(X0,X2) = X2
              | icext(X0,sK62(X0,X2)) ) )
          | ~ ic(X0) )
        & ( ( ! [X4] :
                ( ( icext(X0,X4)
                  | X2 != X4 )
                & ( X2 = X4
                  | ~ icext(X0,X4) ) )
            & ic(X0) )
          | ~ iext(uri_owl_oneOf,X0,X1) ) )
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X1,X2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK62])],[f1500,f1501]) ).

fof(f1780,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_sameAs,X0,X1)
        | X0 != X1 )
      & ( X0 = X1
        | ~ iext(uri_owl_sameAs,X0,X1) ) ),
    inference(nnf_transformation,[],[f765]) ).

fof(f1920,plain,
    ( ? [X0,X1] :
        ( iext(uri_rdf_type,uri_ex_w,X1)
        & iext(uri_owl_oneOf,X1,X0)
        & iext(uri_rdf_rest,X0,uri_rdf_nil)
        & iext(uri_rdf_first,X0,uri_ex_u) )
   => ( iext(uri_rdf_type,uri_ex_w,sK252)
      & iext(uri_owl_oneOf,sK252,sK251)
      & iext(uri_rdf_rest,sK251,uri_rdf_nil)
      & iext(uri_rdf_first,sK251,uri_ex_u) ) ),
    introduced(choice_axiom,[]) ).

fof(f1921,plain,
    ( iext(uri_rdf_type,uri_ex_w,sK252)
    & iext(uri_owl_oneOf,sK252,sK251)
    & iext(uri_rdf_rest,sK251,uri_rdf_nil)
    & iext(uri_rdf_first,sK251,uri_ex_u) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK251,sK252])],[f921,f1920]) ).

fof(f1947,plain,
    ! [X0,X1] :
      ( icext(X1,X0)
      | ~ iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[],[f1410]) ).

fof(f2379,plain,
    ! [X2,X0,X1,X4] :
      ( X2 = X4
      | ~ icext(X0,X4)
      | ~ iext(uri_owl_oneOf,X0,X1)
      | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X1,X2) ),
    inference(cnf_transformation,[],[f1502]) ).

fof(f2859,plain,
    ! [X0,X1] :
      ( iext(uri_owl_sameAs,X0,X1)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f1780]) ).

fof(f3211,plain,
    ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
    inference(cnf_transformation,[],[f920]) ).

fof(f3212,plain,
    iext(uri_rdf_first,sK251,uri_ex_u),
    inference(cnf_transformation,[],[f1921]) ).

fof(f3213,plain,
    iext(uri_rdf_rest,sK251,uri_rdf_nil),
    inference(cnf_transformation,[],[f1921]) ).

fof(f3214,plain,
    iext(uri_owl_oneOf,sK252,sK251),
    inference(cnf_transformation,[],[f1921]) ).

fof(f3215,plain,
    iext(uri_rdf_type,uri_ex_w,sK252),
    inference(cnf_transformation,[],[f1921]) ).

fof(f3223,plain,
    ! [X1] : iext(uri_owl_sameAs,X1,X1),
    inference(equality_resolution,[],[f2859]) ).

cnf(c_75,plain,
    ( ~ iext(uri_rdf_type,X0,X1)
    | icext(X1,X0) ),
    inference(cnf_transformation,[],[f1947]) ).

cnf(c_508,plain,
    ( ~ iext(uri_rdf_first,X0,X1)
    | ~ iext(uri_owl_oneOf,X2,X0)
    | ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
    | ~ icext(X2,X3)
    | X1 = X3 ),
    inference(cnf_transformation,[],[f2379]) ).

cnf(c_981,plain,
    iext(uri_owl_sameAs,X0,X0),
    inference(cnf_transformation,[],[f3223]) ).

cnf(c_1326,negated_conjecture,
    ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
    inference(cnf_transformation,[],[f3211]) ).

cnf(c_1327,plain,
    iext(uri_rdf_type,uri_ex_w,sK252),
    inference(cnf_transformation,[],[f3215]) ).

cnf(c_1328,plain,
    iext(uri_owl_oneOf,sK252,sK251),
    inference(cnf_transformation,[],[f3214]) ).

cnf(c_1329,plain,
    iext(uri_rdf_rest,sK251,uri_rdf_nil),
    inference(cnf_transformation,[],[f3213]) ).

cnf(c_1330,plain,
    iext(uri_rdf_first,sK251,uri_ex_u),
    inference(cnf_transformation,[],[f3212]) ).

cnf(c_4108,plain,
    icext(sK252,uri_ex_w),
    inference(superposition,[status(thm)],[c_1327,c_75]) ).

cnf(c_4164,plain,
    ( ~ iext(uri_rdf_first,sK251,X0)
    | ~ iext(uri_owl_oneOf,X1,sK251)
    | ~ icext(X1,X2)
    | X0 = X2 ),
    inference(superposition,[status(thm)],[c_1329,c_508]) ).

cnf(c_4196,plain,
    ( ~ iext(uri_owl_oneOf,X0,sK251)
    | ~ icext(X0,X1)
    | X1 = uri_ex_u ),
    inference(superposition,[status(thm)],[c_1330,c_4164]) ).

cnf(c_4369,plain,
    ( ~ icext(sK252,X0)
    | X0 = uri_ex_u ),
    inference(superposition,[status(thm)],[c_1328,c_4196]) ).

cnf(c_4379,plain,
    uri_ex_w = uri_ex_u,
    inference(superposition,[status(thm)],[c_4108,c_4369]) ).

cnf(c_4383,plain,
    ~ iext(uri_owl_sameAs,uri_ex_u,uri_ex_u),
    inference(superposition,[status(thm)],[c_4379,c_1326]) ).

cnf(c_4384,plain,
    $false,
    inference(superposition,[status(thm)],[c_981,c_4383]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWB065+1 : TPTP v8.1.2. Released v5.2.0.
% 0.12/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n012.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sun Aug 27 07:10:40 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 145.82/19.88  % SZS status Started for theBenchmark.p
% 145.82/19.88  % SZS status Theorem for theBenchmark.p
% 145.82/19.88  
% 145.82/19.88  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 145.82/19.88  
% 145.82/19.88  ------  iProver source info
% 145.82/19.88  
% 145.82/19.88  git: date: 2023-05-31 18:12:56 +0000
% 145.82/19.88  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 145.82/19.88  git: non_committed_changes: false
% 145.82/19.88  git: last_make_outside_of_git: false
% 145.82/19.88  
% 145.82/19.88  ------ Parsing...
% 145.82/19.88  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 145.82/19.88  
% 145.82/19.88  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 1 0s  sf_e  sf_s  rm: 1 0s  sf_e 
% 145.82/19.88  
% 145.82/19.88  ------ Preprocessing...
% 145.82/19.88  
% 145.82/19.88  ------ Preprocessing... sf_s  rm: 2 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 145.82/19.88  ------ Proving...
% 145.82/19.88  ------ Problem Properties 
% 145.82/19.88  
% 145.82/19.88  
% 145.82/19.88  clauses                                 1183
% 145.82/19.88  conjectures                             1
% 145.82/19.88  EPR                                     722
% 145.82/19.88  Horn                                    913
% 145.82/19.88  unary                                   213
% 145.82/19.88  binary                                  465
% 145.82/19.88  lits                                    3828
% 145.82/19.88  lits eq                                 197
% 145.82/19.88  fd_pure                                 0
% 145.82/19.88  fd_pseudo                               0
% 145.82/19.88  fd_cond                                 0
% 145.82/19.88  fd_pseudo_cond                          66
% 145.82/19.88  AC symbols                              0
% 145.82/19.88  
% 145.82/19.88  ------ Input Options Time Limit: Unbounded
% 145.82/19.88  
% 145.82/19.88  
% 145.82/19.88  ------ 
% 145.82/19.88  Current options:
% 145.82/19.88  ------ 
% 145.82/19.88  
% 145.82/19.88  
% 145.82/19.88  
% 145.82/19.88  
% 145.82/19.88  ------ Proving...
% 145.82/19.88  
% 145.82/19.88  
% 145.82/19.88  % SZS status Theorem for theBenchmark.p
% 145.82/19.88  
% 145.82/19.88  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 145.82/19.89  
% 145.82/19.89  
%------------------------------------------------------------------------------