TSTP Solution File: SWB008+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWB008+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n019.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 20:09:02 EDT 2023

% Result   : Theorem 207.94s 28.39s
% Output   : CNFRefutation 207.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   40 (  16 unt;   0 def)
%            Number of atoms       :  123 (  24 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  131 (  48   ~;  41   |;  31   &)
%                                         (   8 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   8 con; 0-1 aty)
%            Number of variables   :   75 (   0 sgn;  54   !;  12   ?)

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

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

fof(f394,axiom,
    ! [X1] :
      ( icext(uri_owl_InverseFunctionalProperty,X1)
    <=> ( ! [X36,X37,X6] :
            ( ( iext(X1,X37,X6)
              & iext(X1,X36,X6) )
           => X36 = X37 )
        & ip(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_char_inversefunctional) ).

fof(f559,conjecture,
    iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_008_Inverse_Functional_Data_Properties) ).

fof(f560,negated_conjecture,
    ~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
    inference(negated_conjecture,[],[f559]) ).

fof(f561,axiom,
    ( iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz))
    & iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz))
    & iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty)
    & iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_DatatypeProperty) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_008_Inverse_Functional_Data_Properties) ).

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

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

fof(f797,plain,
    ! [X0] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
    <=> ( ! [X1,X2,X3] :
            ( ( iext(X0,X2,X3)
              & iext(X0,X1,X3) )
           => X1 = X2 )
        & ip(X0) ) ),
    inference(rectify,[],[f394]) ).

fof(f920,plain,
    ~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
    inference(flattening,[],[f560]) ).

fof(f1198,plain,
    ! [X0] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
    <=> ( ! [X1,X2,X3] :
            ( X1 = X2
            | ~ iext(X0,X2,X3)
            | ~ iext(X0,X1,X3) )
        & ip(X0) ) ),
    inference(ennf_transformation,[],[f797]) ).

fof(f1199,plain,
    ! [X0] :
      ( icext(uri_owl_InverseFunctionalProperty,X0)
    <=> ( ! [X1,X2,X3] :
            ( X1 = X2
            | ~ iext(X0,X2,X3)
            | ~ iext(X0,X1,X3) )
        & ip(X0) ) ),
    inference(flattening,[],[f1198]) ).

fof(f1409,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(f1779,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_sameAs,X0,X1)
        | X0 != X1 )
      & ( X0 = X1
        | ~ iext(uri_owl_sameAs,X0,X1) ) ),
    inference(nnf_transformation,[],[f765]) ).

fof(f1867,plain,
    ! [X0] :
      ( ( icext(uri_owl_InverseFunctionalProperty,X0)
        | ? [X1,X2,X3] :
            ( X1 != X2
            & iext(X0,X2,X3)
            & iext(X0,X1,X3) )
        | ~ ip(X0) )
      & ( ( ! [X1,X2,X3] :
              ( X1 = X2
              | ~ iext(X0,X2,X3)
              | ~ iext(X0,X1,X3) )
          & ip(X0) )
        | ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
    inference(nnf_transformation,[],[f1199]) ).

fof(f1868,plain,
    ! [X0] :
      ( ( icext(uri_owl_InverseFunctionalProperty,X0)
        | ? [X1,X2,X3] :
            ( X1 != X2
            & iext(X0,X2,X3)
            & iext(X0,X1,X3) )
        | ~ ip(X0) )
      & ( ( ! [X1,X2,X3] :
              ( X1 = X2
              | ~ iext(X0,X2,X3)
              | ~ iext(X0,X1,X3) )
          & ip(X0) )
        | ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
    inference(flattening,[],[f1867]) ).

fof(f1869,plain,
    ! [X0] :
      ( ( icext(uri_owl_InverseFunctionalProperty,X0)
        | ? [X1,X2,X3] :
            ( X1 != X2
            & iext(X0,X2,X3)
            & iext(X0,X1,X3) )
        | ~ ip(X0) )
      & ( ( ! [X4,X5,X6] :
              ( X4 = X5
              | ~ iext(X0,X5,X6)
              | ~ iext(X0,X4,X6) )
          & ip(X0) )
        | ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
    inference(rectify,[],[f1868]) ).

fof(f1870,plain,
    ! [X0] :
      ( ? [X1,X2,X3] :
          ( X1 != X2
          & iext(X0,X2,X3)
          & iext(X0,X1,X3) )
     => ( sK225(X0) != sK226(X0)
        & iext(X0,sK226(X0),sK227(X0))
        & iext(X0,sK225(X0),sK227(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f1871,plain,
    ! [X0] :
      ( ( icext(uri_owl_InverseFunctionalProperty,X0)
        | ( sK225(X0) != sK226(X0)
          & iext(X0,sK226(X0),sK227(X0))
          & iext(X0,sK225(X0),sK227(X0)) )
        | ~ ip(X0) )
      & ( ( ! [X4,X5,X6] :
              ( X4 = X5
              | ~ iext(X0,X5,X6)
              | ~ iext(X0,X4,X6) )
          & ip(X0) )
        | ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK225,sK226,sK227])],[f1869,f1870]) ).

fof(f1944,plain,
    ! [X0,X1] :
      ( icext(X1,X0)
      | ~ iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[],[f1409]) ).

fof(f2856,plain,
    ! [X0,X1] :
      ( iext(uri_owl_sameAs,X0,X1)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f1779]) ).

fof(f2976,plain,
    ! [X0,X6,X4,X5] :
      ( X4 = X5
      | ~ iext(X0,X5,X6)
      | ~ iext(X0,X4,X6)
      | ~ icext(uri_owl_InverseFunctionalProperty,X0) ),
    inference(cnf_transformation,[],[f1871]) ).

fof(f3208,plain,
    ~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
    inference(cnf_transformation,[],[f920]) ).

fof(f3210,plain,
    iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty),
    inference(cnf_transformation,[],[f561]) ).

fof(f3211,plain,
    iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz)),
    inference(cnf_transformation,[],[f561]) ).

fof(f3212,plain,
    iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz)),
    inference(cnf_transformation,[],[f561]) ).

fof(f3220,plain,
    ! [X1] : iext(uri_owl_sameAs,X1,X1),
    inference(equality_resolution,[],[f2856]) ).

cnf(c_75,plain,
    ( ~ iext(uri_rdf_type,X0,X1)
    | icext(X1,X0) ),
    inference(cnf_transformation,[],[f1944]) ).

cnf(c_981,plain,
    iext(uri_owl_sameAs,X0,X0),
    inference(cnf_transformation,[],[f3220]) ).

cnf(c_1096,plain,
    ( ~ iext(X0,X1,X2)
    | ~ iext(X0,X3,X2)
    | ~ icext(uri_owl_InverseFunctionalProperty,X0)
    | X1 = X3 ),
    inference(cnf_transformation,[],[f2976]) ).

cnf(c_1326,negated_conjecture,
    ~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
    inference(cnf_transformation,[],[f3208]) ).

cnf(c_1327,plain,
    iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz)),
    inference(cnf_transformation,[],[f3212]) ).

cnf(c_1328,plain,
    iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz)),
    inference(cnf_transformation,[],[f3211]) ).

cnf(c_1329,plain,
    iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty),
    inference(cnf_transformation,[],[f3210]) ).

cnf(c_2503,plain,
    ( ~ iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty)
    | icext(uri_owl_InverseFunctionalProperty,uri_foaf_mbox_sha1sum) ),
    inference(instantiation,[status(thm)],[c_75]) ).

cnf(c_3690,plain,
    ( ~ iext(uri_foaf_mbox_sha1sum,X0,literal_plain(dat_str_xyz))
    | ~ icext(uri_owl_InverseFunctionalProperty,uri_foaf_mbox_sha1sum)
    | X0 = uri_ex_bob ),
    inference(superposition,[status(thm)],[c_1328,c_1096]) ).

cnf(c_3704,plain,
    ( ~ iext(uri_foaf_mbox_sha1sum,X0,literal_plain(dat_str_xyz))
    | X0 = uri_ex_bob ),
    inference(global_subsumption_just,[status(thm)],[c_3690,c_1329,c_2503,c_3690]) ).

cnf(c_3859,plain,
    uri_ex_bob = uri_ex_robert,
    inference(superposition,[status(thm)],[c_1327,c_3704]) ).

cnf(c_3862,plain,
    ~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_bob),
    inference(superposition,[status(thm)],[c_3859,c_1326]) ).

cnf(c_3863,plain,
    $false,
    inference(superposition,[status(thm)],[c_981,c_3862]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWB008+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.34  % Computer : n019.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Sun Aug 27 07:00:13 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.18/0.45  Running first-order theorem proving
% 0.18/0.45  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 207.94/28.39  % SZS status Started for theBenchmark.p
% 207.94/28.39  % SZS status Theorem for theBenchmark.p
% 207.94/28.39  
% 207.94/28.39  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 207.94/28.39  
% 207.94/28.39  ------  iProver source info
% 207.94/28.39  
% 207.94/28.39  git: date: 2023-05-31 18:12:56 +0000
% 207.94/28.39  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 207.94/28.39  git: non_committed_changes: false
% 207.94/28.39  git: last_make_outside_of_git: false
% 207.94/28.39  
% 207.94/28.39  ------ Parsing...
% 207.94/28.39  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 207.94/28.39  
% 207.94/28.39  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 1 0s  sf_e  sf_s  rm: 1 0s  sf_e 
% 207.94/28.39  
% 207.94/28.39  ------ Preprocessing...
% 207.94/28.39  
% 207.94/28.39  ------ Preprocessing... sf_s  rm: 2 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 207.94/28.39  ------ Proving...
% 207.94/28.39  ------ Problem Properties 
% 207.94/28.39  
% 207.94/28.39  
% 207.94/28.39  clauses                                 1183
% 207.94/28.39  conjectures                             1
% 207.94/28.39  EPR                                     720
% 207.94/28.39  Horn                                    913
% 207.94/28.39  unary                                   213
% 207.94/28.39  binary                                  465
% 207.94/28.39  lits                                    3828
% 207.94/28.39  lits eq                                 197
% 207.94/28.39  fd_pure                                 0
% 207.94/28.39  fd_pseudo                               0
% 207.94/28.39  fd_cond                                 0
% 207.94/28.39  fd_pseudo_cond                          66
% 207.94/28.39  AC symbols                              0
% 207.94/28.39  
% 207.94/28.39  ------ Input Options Time Limit: Unbounded
% 207.94/28.39  
% 207.94/28.39  
% 207.94/28.39  ------ 
% 207.94/28.39  Current options:
% 207.94/28.39  ------ 
% 207.94/28.39  
% 207.94/28.39  
% 207.94/28.39  
% 207.94/28.39  
% 207.94/28.39  ------ Proving...
% 207.94/28.39  
% 207.94/28.39  
% 207.94/28.39  % SZS status Theorem for theBenchmark.p
% 207.94/28.39  
% 207.94/28.39  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 207.94/28.39  
% 207.94/28.39  
%------------------------------------------------------------------------------