TSTP Solution File: SWB030+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWB030+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n024.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 20:09:27 EDT 2023

% Result   : Unsatisfiable 255.87s 34.31s
% Output   : CNFRefutation 255.87s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   49 (   7 unt;   0 def)
%            Number of atoms       :  164 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  186 (  71   ~;  68   |;  33   &)
%                                         (   9 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;  10 con; 0-2 aty)
%            Number of variables   :   87 (   4 sgn;  56   !;   3   ?)

% 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(f278,axiom,
    ! [X10,X4] :
      ( iext(uri_owl_complementOf,X10,X4)
     => ( ! [X3] :
            ( icext(X10,X3)
          <=> ~ icext(X4,X3) )
        & ic(X4)
        & ic(X10) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_complementof_class) ).

fof(f314,axiom,
    ! [X10,X1,X30] :
      ( ( iext(uri_owl_onProperty,X10,X1)
        & iext(uri_owl_hasSelf,X10,X30) )
     => ! [X3] :
          ( icext(X10,X3)
        <=> iext(X1,X3,X3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_restrict_hasself) ).

fof(f559,axiom,
    ? [X41] :
      ( iext(uri_owl_hasSelf,X41,literal_typed(dat_str_true,uri_xsd_boolean))
      & iext(uri_owl_onProperty,X41,uri_rdf_type)
      & iext(uri_rdf_type,X41,uri_owl_Restriction)
      & iext(uri_owl_complementOf,uri_ex_c,X41)
      & iext(uri_rdf_type,uri_ex_c,uri_owl_Class) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_030_Bad_Class) ).

fof(f563,plain,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
    <=> icext(X1,X0) ),
    inference(rectify,[],[f25]) ).

fof(f687,plain,
    ! [X0,X1] :
      ( iext(uri_owl_complementOf,X0,X1)
     => ( ! [X2] :
            ( icext(X0,X2)
          <=> ~ icext(X1,X2) )
        & ic(X1)
        & ic(X0) ) ),
    inference(rectify,[],[f278]) ).

fof(f723,plain,
    ! [X0,X1,X2] :
      ( ( iext(uri_owl_onProperty,X0,X1)
        & iext(uri_owl_hasSelf,X0,X2) )
     => ! [X3] :
          ( icext(X0,X3)
        <=> iext(X1,X3,X3) ) ),
    inference(rectify,[],[f314]) ).

fof(f918,plain,
    ? [X0] :
      ( iext(uri_owl_hasSelf,X0,literal_typed(dat_str_true,uri_xsd_boolean))
      & iext(uri_owl_onProperty,X0,uri_rdf_type)
      & iext(uri_rdf_type,X0,uri_owl_Restriction)
      & iext(uri_owl_complementOf,uri_ex_c,X0)
      & iext(uri_rdf_type,uri_ex_c,uri_owl_Class) ),
    inference(rectify,[],[f559]) ).

fof(f1017,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( icext(X0,X2)
          <=> ~ icext(X1,X2) )
        & ic(X1)
        & ic(X0) )
      | ~ iext(uri_owl_complementOf,X0,X1) ),
    inference(ennf_transformation,[],[f687]) ).

fof(f1081,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( icext(X0,X3)
        <=> iext(X1,X3,X3) )
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_hasSelf,X0,X2) ),
    inference(ennf_transformation,[],[f723]) ).

fof(f1082,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( icext(X0,X3)
        <=> iext(X1,X3,X3) )
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_hasSelf,X0,X2) ),
    inference(flattening,[],[f1081]) ).

fof(f1407,plain,
    ! [X0,X1] :
      ( ( iext(uri_rdf_type,X0,X1)
        | ~ icext(X1,X0) )
      & ( icext(X1,X0)
        | ~ iext(uri_rdf_type,X0,X1) ) ),
    inference(nnf_transformation,[],[f563]) ).

fof(f1439,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( ( icext(X0,X2)
              | icext(X1,X2) )
            & ( ~ icext(X1,X2)
              | ~ icext(X0,X2) ) )
        & ic(X1)
        & ic(X0) )
      | ~ iext(uri_owl_complementOf,X0,X1) ),
    inference(nnf_transformation,[],[f1017]) ).

fof(f1605,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( ( icext(X0,X3)
            | ~ iext(X1,X3,X3) )
          & ( iext(X1,X3,X3)
            | ~ icext(X0,X3) ) )
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_hasSelf,X0,X2) ),
    inference(nnf_transformation,[],[f1082]) ).

fof(f1917,plain,
    ( ? [X0] :
        ( iext(uri_owl_hasSelf,X0,literal_typed(dat_str_true,uri_xsd_boolean))
        & iext(uri_owl_onProperty,X0,uri_rdf_type)
        & iext(uri_rdf_type,X0,uri_owl_Restriction)
        & iext(uri_owl_complementOf,uri_ex_c,X0)
        & iext(uri_rdf_type,uri_ex_c,uri_owl_Class) )
   => ( iext(uri_owl_hasSelf,sK251,literal_typed(dat_str_true,uri_xsd_boolean))
      & iext(uri_owl_onProperty,sK251,uri_rdf_type)
      & iext(uri_rdf_type,sK251,uri_owl_Restriction)
      & iext(uri_owl_complementOf,uri_ex_c,sK251)
      & iext(uri_rdf_type,uri_ex_c,uri_owl_Class) ) ),
    introduced(choice_axiom,[]) ).

fof(f1918,plain,
    ( iext(uri_owl_hasSelf,sK251,literal_typed(dat_str_true,uri_xsd_boolean))
    & iext(uri_owl_onProperty,sK251,uri_rdf_type)
    & iext(uri_rdf_type,sK251,uri_owl_Restriction)
    & iext(uri_owl_complementOf,uri_ex_c,sK251)
    & iext(uri_rdf_type,uri_ex_c,uri_owl_Class) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK251])],[f918,f1917]) ).

fof(f1944,plain,
    ! [X0,X1] :
      ( icext(X1,X0)
      | ~ iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[],[f1407]) ).

fof(f1945,plain,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
      | ~ icext(X1,X0) ),
    inference(cnf_transformation,[],[f1407]) ).

fof(f2287,plain,
    ! [X2,X0,X1] :
      ( ~ icext(X1,X2)
      | ~ icext(X0,X2)
      | ~ iext(uri_owl_complementOf,X0,X1) ),
    inference(cnf_transformation,[],[f1439]) ).

fof(f2288,plain,
    ! [X2,X0,X1] :
      ( icext(X0,X2)
      | icext(X1,X2)
      | ~ iext(uri_owl_complementOf,X0,X1) ),
    inference(cnf_transformation,[],[f1439]) ).

fof(f2574,plain,
    ! [X2,X3,X0,X1] :
      ( iext(X1,X3,X3)
      | ~ icext(X0,X3)
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_hasSelf,X0,X2) ),
    inference(cnf_transformation,[],[f1605]) ).

fof(f2575,plain,
    ! [X2,X3,X0,X1] :
      ( icext(X0,X3)
      | ~ iext(X1,X3,X3)
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_hasSelf,X0,X2) ),
    inference(cnf_transformation,[],[f1605]) ).

fof(f3209,plain,
    iext(uri_owl_complementOf,uri_ex_c,sK251),
    inference(cnf_transformation,[],[f1918]) ).

fof(f3211,plain,
    iext(uri_owl_onProperty,sK251,uri_rdf_type),
    inference(cnf_transformation,[],[f1918]) ).

fof(f3212,plain,
    iext(uri_owl_hasSelf,sK251,literal_typed(dat_str_true,uri_xsd_boolean)),
    inference(cnf_transformation,[],[f1918]) ).

cnf(c_74,plain,
    ( ~ icext(X0,X1)
    | iext(uri_rdf_type,X1,X0) ),
    inference(cnf_transformation,[],[f1945]) ).

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

cnf(c_415,plain,
    ( ~ iext(uri_owl_complementOf,X0,X1)
    | icext(X0,X2)
    | icext(X1,X2) ),
    inference(cnf_transformation,[],[f2288]) ).

cnf(c_416,plain,
    ( ~ iext(uri_owl_complementOf,X0,X1)
    | ~ icext(X0,X2)
    | ~ icext(X1,X2) ),
    inference(cnf_transformation,[],[f2287]) ).

cnf(c_704,plain,
    ( ~ iext(X0,X1,X1)
    | ~ iext(uri_owl_hasSelf,X2,X3)
    | ~ iext(uri_owl_onProperty,X2,X0)
    | icext(X2,X1) ),
    inference(cnf_transformation,[],[f2575]) ).

cnf(c_705,plain,
    ( ~ iext(uri_owl_hasSelf,X0,X1)
    | ~ iext(uri_owl_onProperty,X0,X2)
    | ~ icext(X0,X3)
    | iext(X2,X3,X3) ),
    inference(cnf_transformation,[],[f2574]) ).

cnf(c_1326,plain,
    iext(uri_owl_hasSelf,sK251,literal_typed(dat_str_true,uri_xsd_boolean)),
    inference(cnf_transformation,[],[f3212]) ).

cnf(c_1327,plain,
    iext(uri_owl_onProperty,sK251,uri_rdf_type),
    inference(cnf_transformation,[],[f3211]) ).

cnf(c_1329,plain,
    iext(uri_owl_complementOf,uri_ex_c,sK251),
    inference(cnf_transformation,[],[f3209]) ).

cnf(c_204110,plain,
    ( ~ iext(uri_owl_complementOf,uri_ex_c,sK251)
    | icext(sK251,X0)
    | icext(uri_ex_c,X0) ),
    inference(instantiation,[status(thm)],[c_415]) ).

cnf(c_204113,plain,
    ( ~ iext(uri_owl_complementOf,uri_ex_c,sK251)
    | ~ icext(sK251,X0)
    | ~ icext(uri_ex_c,X0) ),
    inference(instantiation,[status(thm)],[c_416]) ).

cnf(c_204779,plain,
    ( ~ iext(uri_rdf_type,X0,X0)
    | ~ iext(uri_owl_hasSelf,sK251,X1)
    | ~ iext(uri_owl_onProperty,sK251,uri_rdf_type)
    | icext(sK251,X0) ),
    inference(instantiation,[status(thm)],[c_704]) ).

cnf(c_204782,plain,
    ( ~ iext(uri_owl_hasSelf,sK251,X0)
    | ~ iext(uri_owl_onProperty,sK251,uri_rdf_type)
    | ~ icext(sK251,X1)
    | iext(uri_rdf_type,X1,X1) ),
    inference(instantiation,[status(thm)],[c_705]) ).

cnf(c_220424,plain,
    ( ~ iext(uri_rdf_type,X0,uri_ex_c)
    | icext(uri_ex_c,X0) ),
    inference(instantiation,[status(thm)],[c_75]) ).

cnf(c_232453,plain,
    ( ~ icext(uri_ex_c,X0)
    | iext(uri_rdf_type,X0,uri_ex_c) ),
    inference(instantiation,[status(thm)],[c_74]) ).

cnf(c_240138,plain,
    ( ~ iext(uri_owl_hasSelf,sK251,literal_typed(dat_str_true,uri_xsd_boolean))
    | ~ iext(uri_rdf_type,X0,X0)
    | ~ iext(uri_owl_onProperty,sK251,uri_rdf_type)
    | icext(sK251,X0) ),
    inference(instantiation,[status(thm)],[c_204779]) ).

cnf(c_240140,plain,
    ( ~ iext(uri_owl_hasSelf,sK251,literal_typed(dat_str_true,uri_xsd_boolean))
    | ~ iext(uri_owl_onProperty,sK251,uri_rdf_type)
    | ~ icext(sK251,X0)
    | iext(uri_rdf_type,X0,X0) ),
    inference(instantiation,[status(thm)],[c_204782]) ).

cnf(c_244564,plain,
    ( ~ iext(uri_owl_hasSelf,sK251,literal_typed(dat_str_true,uri_xsd_boolean))
    | ~ iext(uri_owl_onProperty,sK251,uri_rdf_type)
    | ~ icext(sK251,uri_ex_c)
    | iext(uri_rdf_type,uri_ex_c,uri_ex_c) ),
    inference(instantiation,[status(thm)],[c_240140]) ).

cnf(c_244565,plain,
    ( ~ iext(uri_rdf_type,uri_ex_c,uri_ex_c)
    | icext(uri_ex_c,uri_ex_c) ),
    inference(instantiation,[status(thm)],[c_220424]) ).

cnf(c_250786,plain,
    ( ~ iext(uri_owl_hasSelf,sK251,literal_typed(dat_str_true,uri_xsd_boolean))
    | ~ iext(uri_rdf_type,uri_ex_c,uri_ex_c)
    | ~ iext(uri_owl_onProperty,sK251,uri_rdf_type)
    | icext(sK251,uri_ex_c) ),
    inference(instantiation,[status(thm)],[c_240138]) ).

cnf(c_250788,plain,
    ( ~ iext(uri_owl_complementOf,uri_ex_c,sK251)
    | icext(sK251,uri_ex_c)
    | icext(uri_ex_c,uri_ex_c) ),
    inference(instantiation,[status(thm)],[c_204110]) ).

cnf(c_258198,plain,
    ( ~ iext(uri_owl_complementOf,uri_ex_c,sK251)
    | ~ icext(sK251,uri_ex_c)
    | ~ icext(uri_ex_c,uri_ex_c) ),
    inference(instantiation,[status(thm)],[c_204113]) ).

cnf(c_265821,plain,
    ( ~ icext(uri_ex_c,uri_ex_c)
    | iext(uri_rdf_type,uri_ex_c,uri_ex_c) ),
    inference(instantiation,[status(thm)],[c_232453]) ).

cnf(c_265822,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_265821,c_258198,c_250786,c_250788,c_244565,c_244564,c_1326,c_1327,c_1329]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11  % Problem  : SWB030+1 : TPTP v8.1.2. Released v5.2.0.
% 0.10/0.11  % Command  : run_iprover %s %d THM
% 0.11/0.31  % Computer : n024.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Sun Aug 27 07:24:08 EDT 2023
% 0.11/0.32  % CPUTime  : 
% 0.16/0.43  Running first-order theorem proving
% 0.16/0.43  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 255.87/34.31  % SZS status Started for theBenchmark.p
% 255.87/34.31  % SZS status Unsatisfiable for theBenchmark.p
% 255.87/34.31  
% 255.87/34.31  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 255.87/34.31  
% 255.87/34.31  ------  iProver source info
% 255.87/34.31  
% 255.87/34.31  git: date: 2023-05-31 18:12:56 +0000
% 255.87/34.31  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 255.87/34.31  git: non_committed_changes: false
% 255.87/34.31  git: last_make_outside_of_git: false
% 255.87/34.31  
% 255.87/34.31  ------ Parsing...
% 255.87/34.31  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 255.87/34.31  
% 255.87/34.31  ------ Preprocessing... sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e 
% 255.87/34.31  
% 255.87/34.31  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 255.87/34.31  
% 255.87/34.31  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 255.87/34.31  ------ Proving...
% 255.87/34.31  ------ Problem Properties 
% 255.87/34.31  
% 255.87/34.31  
% 255.87/34.31  clauses                                 1173
% 255.87/34.31  conjectures                             0
% 255.87/34.31  EPR                                     712
% 255.87/34.31  Horn                                    904
% 255.87/34.31  unary                                   229
% 255.87/34.31  binary                                  455
% 255.87/34.31  lits                                    3734
% 255.87/34.31  lits eq                                 197
% 255.87/34.31  fd_pure                                 0
% 255.87/34.31  fd_pseudo                               0
% 255.87/34.31  fd_cond                                 0
% 255.87/34.31  fd_pseudo_cond                          66
% 255.87/34.31  AC symbols                              0
% 255.87/34.31  
% 255.87/34.31  ------ Input Options Time Limit: Unbounded
% 255.87/34.31  
% 255.87/34.31  
% 255.87/34.31  ------ 
% 255.87/34.31  Current options:
% 255.87/34.31  ------ 
% 255.87/34.31  
% 255.87/34.31  
% 255.87/34.31  
% 255.87/34.31  
% 255.87/34.31  ------ Proving...
% 255.87/34.31  
% 255.87/34.31  
% 255.87/34.31  % SZS status Unsatisfiable for theBenchmark.p
% 255.87/34.31  
% 255.87/34.31  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 255.87/34.31  
% 255.87/34.32  
%------------------------------------------------------------------------------