TSTP Solution File: SWB009+2 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWB009+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n009.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 20:09:04 EDT 2023

% Result   : Theorem 0.47s 1.15s
% Output   : CNFRefutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   45 (   7 unt;   0 def)
%            Number of atoms       :  159 (   0 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  182 (  68   ~;  62   |;  43   &)
%                                         (   5 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;  10 con; 0-3 aty)
%            Number of variables   :   85 (   0 sgn;  52   !;  13   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
    <=> icext(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).

fof(f2,axiom,
    ! [X2,X3,X1] :
      ( ( iext(uri_owl_onProperty,X2,X3)
        & iext(uri_owl_someValuesFrom,X2,X1) )
     => ! [X0] :
          ( icext(X2,X0)
        <=> ? [X4] :
              ( icext(X1,X4)
              & iext(X3,X0,X4) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_restrict_somevaluesfrom) ).

fof(f3,conjecture,
    ? [X5] :
      ( iext(uri_rdf_type,X5,uri_ex_c)
      & iext(uri_ex_p,uri_ex_s,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_009_Existential_Restriction_Entailments) ).

fof(f4,negated_conjecture,
    ~ ? [X5] :
        ( iext(uri_rdf_type,X5,uri_ex_c)
        & iext(uri_ex_p,uri_ex_s,X5) ),
    inference(negated_conjecture,[],[f3]) ).

fof(f5,axiom,
    ? [X6] :
      ( iext(uri_owl_someValuesFrom,X6,uri_ex_c)
      & iext(uri_owl_onProperty,X6,uri_ex_p)
      & iext(uri_rdf_type,X6,uri_owl_Restriction)
      & iext(uri_rdf_type,uri_ex_s,X6)
      & iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
      & iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_009_Existential_Restriction_Entailments) ).

fof(f6,plain,
    ! [X0,X1,X2] :
      ( ( iext(uri_owl_onProperty,X0,X1)
        & iext(uri_owl_someValuesFrom,X0,X2) )
     => ! [X3] :
          ( icext(X0,X3)
        <=> ? [X4] :
              ( icext(X2,X4)
              & iext(X1,X3,X4) ) ) ),
    inference(rectify,[],[f2]) ).

fof(f7,plain,
    ~ ? [X0] :
        ( iext(uri_rdf_type,X0,uri_ex_c)
        & iext(uri_ex_p,uri_ex_s,X0) ),
    inference(rectify,[],[f4]) ).

fof(f8,plain,
    ? [X0] :
      ( iext(uri_owl_someValuesFrom,X0,uri_ex_c)
      & iext(uri_owl_onProperty,X0,uri_ex_p)
      & iext(uri_rdf_type,X0,uri_owl_Restriction)
      & iext(uri_rdf_type,uri_ex_s,X0)
      & iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
      & iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
    inference(rectify,[],[f5]) ).

fof(f9,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( icext(X0,X3)
        <=> ? [X4] :
              ( icext(X2,X4)
              & iext(X1,X3,X4) ) )
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_someValuesFrom,X0,X2) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f10,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( icext(X0,X3)
        <=> ? [X4] :
              ( icext(X2,X4)
              & iext(X1,X3,X4) ) )
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_someValuesFrom,X0,X2) ),
    inference(flattening,[],[f9]) ).

fof(f11,plain,
    ! [X0] :
      ( ~ iext(uri_rdf_type,X0,uri_ex_c)
      | ~ iext(uri_ex_p,uri_ex_s,X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f12,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdf_type,X0,X1)
        | ~ icext(X1,X0) )
      & ( icext(X1,X0)
        | ~ iext(uri_rdf_type,X0,X1) ) ),
    inference(nnf_transformation,[],[f1]) ).

fof(f13,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_onProperty,X0,X1)
      | ~ iext(uri_owl_someValuesFrom,X0,X2) ),
    inference(nnf_transformation,[],[f10]) ).

fof(f14,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_onProperty,X0,X1)
      | ~ iext(uri_owl_someValuesFrom,X0,X2) ),
    inference(rectify,[],[f13]) ).

fof(f15,plain,
    ! [X1,X2,X3] :
      ( ? [X5] :
          ( icext(X2,X5)
          & iext(X1,X3,X5) )
     => ( icext(X2,sK0(X1,X2,X3))
        & iext(X1,X3,sK0(X1,X2,X3)) ) ),
    introduced(choice_axiom,[]) ).

fof(f16,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( ( icext(X0,X3)
            | ! [X4] :
                ( ~ icext(X2,X4)
                | ~ iext(X1,X3,X4) ) )
          & ( ( icext(X2,sK0(X1,X2,X3))
              & iext(X1,X3,sK0(X1,X2,X3)) )
            | ~ icext(X0,X3) ) )
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_someValuesFrom,X0,X2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f14,f15]) ).

fof(f17,plain,
    ( ? [X0] :
        ( iext(uri_owl_someValuesFrom,X0,uri_ex_c)
        & iext(uri_owl_onProperty,X0,uri_ex_p)
        & iext(uri_rdf_type,X0,uri_owl_Restriction)
        & iext(uri_rdf_type,uri_ex_s,X0)
        & iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
        & iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) )
   => ( iext(uri_owl_someValuesFrom,sK1,uri_ex_c)
      & iext(uri_owl_onProperty,sK1,uri_ex_p)
      & iext(uri_rdf_type,sK1,uri_owl_Restriction)
      & iext(uri_rdf_type,uri_ex_s,sK1)
      & iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
      & iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ) ),
    introduced(choice_axiom,[]) ).

fof(f18,plain,
    ( iext(uri_owl_someValuesFrom,sK1,uri_ex_c)
    & iext(uri_owl_onProperty,sK1,uri_ex_p)
    & iext(uri_rdf_type,sK1,uri_owl_Restriction)
    & iext(uri_rdf_type,uri_ex_s,sK1)
    & iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
    & iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f8,f17]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( icext(X1,X0)
      | ~ iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
      | ~ icext(X1,X0) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f21,plain,
    ! [X2,X3,X0,X1] :
      ( iext(X1,X3,sK0(X1,X2,X3))
      | ~ icext(X0,X3)
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_someValuesFrom,X0,X2) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f22,plain,
    ! [X2,X3,X0,X1] :
      ( icext(X2,sK0(X1,X2,X3))
      | ~ icext(X0,X3)
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_someValuesFrom,X0,X2) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f24,plain,
    ! [X0] :
      ( ~ iext(uri_rdf_type,X0,uri_ex_c)
      | ~ iext(uri_ex_p,uri_ex_s,X0) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f27,plain,
    iext(uri_rdf_type,uri_ex_s,sK1),
    inference(cnf_transformation,[],[f18]) ).

fof(f29,plain,
    iext(uri_owl_onProperty,sK1,uri_ex_p),
    inference(cnf_transformation,[],[f18]) ).

fof(f30,plain,
    iext(uri_owl_someValuesFrom,sK1,uri_ex_c),
    inference(cnf_transformation,[],[f18]) ).

cnf(c_49,plain,
    ( ~ icext(X0,X1)
    | iext(uri_rdf_type,X1,X0) ),
    inference(cnf_transformation,[],[f20]) ).

cnf(c_50,plain,
    ( ~ iext(uri_rdf_type,X0,X1)
    | icext(X1,X0) ),
    inference(cnf_transformation,[],[f19]) ).

cnf(c_52,plain,
    ( ~ iext(uri_owl_onProperty,X0,X1)
    | ~ iext(uri_owl_someValuesFrom,X0,X2)
    | ~ icext(X0,X3)
    | icext(X2,sK0(X1,X2,X3)) ),
    inference(cnf_transformation,[],[f22]) ).

cnf(c_53,plain,
    ( ~ iext(uri_owl_onProperty,X0,X1)
    | ~ iext(uri_owl_someValuesFrom,X0,X2)
    | ~ icext(X0,X3)
    | iext(X1,X3,sK0(X1,X2,X3)) ),
    inference(cnf_transformation,[],[f21]) ).

cnf(c_54,negated_conjecture,
    ( ~ iext(uri_rdf_type,X0,uri_ex_c)
    | ~ iext(uri_ex_p,uri_ex_s,X0) ),
    inference(cnf_transformation,[],[f24]) ).

cnf(c_55,plain,
    iext(uri_owl_someValuesFrom,sK1,uri_ex_c),
    inference(cnf_transformation,[],[f30]) ).

cnf(c_56,plain,
    iext(uri_owl_onProperty,sK1,uri_ex_p),
    inference(cnf_transformation,[],[f29]) ).

cnf(c_58,plain,
    iext(uri_rdf_type,uri_ex_s,sK1),
    inference(cnf_transformation,[],[f27]) ).

cnf(c_117,plain,
    ( ~ iext(uri_rdf_type,uri_ex_s,sK1)
    | icext(sK1,uri_ex_s) ),
    inference(instantiation,[status(thm)],[c_50]) ).

cnf(c_130,plain,
    ( ~ iext(uri_owl_onProperty,sK1,X0)
    | ~ iext(uri_owl_someValuesFrom,sK1,X1)
    | ~ icext(sK1,uri_ex_s)
    | iext(X0,uri_ex_s,sK0(X0,X1,uri_ex_s)) ),
    inference(instantiation,[status(thm)],[c_53]) ).

cnf(c_131,plain,
    ( ~ iext(uri_owl_onProperty,sK1,X0)
    | ~ iext(uri_owl_someValuesFrom,sK1,X1)
    | ~ icext(sK1,uri_ex_s)
    | icext(X1,sK0(X0,X1,uri_ex_s)) ),
    inference(instantiation,[status(thm)],[c_52]) ).

cnf(c_148,plain,
    ( ~ iext(uri_owl_someValuesFrom,sK1,X0)
    | ~ iext(uri_owl_onProperty,sK1,uri_ex_p)
    | ~ icext(sK1,uri_ex_s)
    | iext(uri_ex_p,uri_ex_s,sK0(uri_ex_p,X0,uri_ex_s)) ),
    inference(instantiation,[status(thm)],[c_130]) ).

cnf(c_150,plain,
    ( ~ iext(uri_owl_someValuesFrom,sK1,X0)
    | ~ iext(uri_owl_onProperty,sK1,uri_ex_p)
    | ~ icext(sK1,uri_ex_s)
    | icext(X0,sK0(uri_ex_p,X0,uri_ex_s)) ),
    inference(instantiation,[status(thm)],[c_131]) ).

cnf(c_152,plain,
    ( ~ icext(X0,sK0(uri_ex_p,X0,uri_ex_s))
    | iext(uri_rdf_type,sK0(uri_ex_p,X0,uri_ex_s),X0) ),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_162,plain,
    ( ~ icext(uri_ex_c,sK0(uri_ex_p,uri_ex_c,uri_ex_s))
    | iext(uri_rdf_type,sK0(uri_ex_p,uri_ex_c,uri_ex_s),uri_ex_c) ),
    inference(instantiation,[status(thm)],[c_152]) ).

cnf(c_163,plain,
    ( ~ iext(uri_rdf_type,sK0(uri_ex_p,uri_ex_c,uri_ex_s),uri_ex_c)
    | ~ iext(uri_ex_p,uri_ex_s,sK0(uri_ex_p,uri_ex_c,uri_ex_s)) ),
    inference(instantiation,[status(thm)],[c_54]) ).

cnf(c_183,plain,
    ( ~ iext(uri_owl_onProperty,sK1,uri_ex_p)
    | ~ iext(uri_owl_someValuesFrom,sK1,uri_ex_c)
    | ~ icext(sK1,uri_ex_s)
    | icext(uri_ex_c,sK0(uri_ex_p,uri_ex_c,uri_ex_s)) ),
    inference(instantiation,[status(thm)],[c_150]) ).

cnf(c_206,plain,
    ( ~ iext(uri_owl_onProperty,sK1,uri_ex_p)
    | ~ iext(uri_owl_someValuesFrom,sK1,uri_ex_c)
    | ~ icext(sK1,uri_ex_s)
    | iext(uri_ex_p,uri_ex_s,sK0(uri_ex_p,uri_ex_c,uri_ex_s)) ),
    inference(instantiation,[status(thm)],[c_148]) ).

cnf(c_207,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_206,c_183,c_163,c_162,c_117,c_55,c_56,c_58]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWB009+2 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n009.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 07:01:50 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.47/1.15  % SZS status Started for theBenchmark.p
% 0.47/1.15  % SZS status Theorem for theBenchmark.p
% 0.47/1.15  
% 0.47/1.15  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.47/1.15  
% 0.47/1.15  ------  iProver source info
% 0.47/1.15  
% 0.47/1.15  git: date: 2023-05-31 18:12:56 +0000
% 0.47/1.15  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.47/1.15  git: non_committed_changes: false
% 0.47/1.15  git: last_make_outside_of_git: false
% 0.47/1.15  
% 0.47/1.15  ------ Parsing...
% 0.47/1.15  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 0.47/1.15  
% 0.47/1.15  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 0.47/1.15  
% 0.47/1.15  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.47/1.15  ------ Proving...
% 0.47/1.15  ------ Problem Properties 
% 0.47/1.15  
% 0.47/1.15  
% 0.47/1.15  clauses                                 12
% 0.47/1.15  conjectures                             1
% 0.47/1.15  EPR                                     10
% 0.47/1.15  Horn                                    12
% 0.47/1.15  unary                                   6
% 0.47/1.15  binary                                  3
% 0.47/1.15  lits                                    25
% 0.47/1.15  lits eq                                 0
% 0.47/1.15  fd_pure                                 0
% 0.47/1.15  fd_pseudo                               0
% 0.47/1.15  fd_cond                                 0
% 0.47/1.15  fd_pseudo_cond                          0
% 0.47/1.15  AC symbols                              0
% 0.47/1.15  
% 0.47/1.15  ------ Schedule dynamic 5 is on 
% 0.47/1.15  
% 0.47/1.15  ------ no equalities: superposition off 
% 0.47/1.15  
% 0.47/1.15  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.47/1.15  
% 0.47/1.15  
% 0.47/1.15  ------ 
% 0.47/1.15  Current options:
% 0.47/1.15  ------ 
% 0.47/1.15  
% 0.47/1.15  
% 0.47/1.15  
% 0.47/1.15  
% 0.47/1.15  ------ Proving...
% 0.47/1.15  
% 0.47/1.15  
% 0.47/1.15  % SZS status Theorem for theBenchmark.p
% 0.47/1.15  
% 0.47/1.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.47/1.15  
% 0.47/1.15  
%------------------------------------------------------------------------------