TSTP Solution File: SWB030+2 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWB030+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n032.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 20:09:28 EDT 2023

% Result   : Unsatisfiable 1.32s 1.01s
% Output   : CNFRefutation 1.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   50 (   7 unt;   0 def)
%            Number of atoms       :  164 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  189 (  75   ~;  70   |;  29   &)
%                                         (   9 <=>;   6  =>;   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   :   92 (   5 sgn;  57   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
    <=> icext(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).

fof(f2,axiom,
    ! [X2,X3,X4] :
      ( ( iext(uri_owl_onProperty,X2,X3)
        & iext(uri_owl_hasSelf,X2,X4) )
     => ! [X0] :
          ( icext(X2,X0)
        <=> iext(X3,X0,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_hasself) ).

fof(f3,axiom,
    ! [X2,X1] :
      ( iext(uri_owl_complementOf,X2,X1)
     => ( ! [X0] :
            ( icext(X2,X0)
          <=> ~ icext(X1,X0) )
        & ic(X1)
        & ic(X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_complementof_class) ).

fof(f4,axiom,
    ? [X5] :
      ( iext(uri_owl_hasSelf,X5,literal_typed(dat_str_true,uri_xsd_boolean))
      & iext(uri_owl_onProperty,X5,uri_rdf_type)
      & iext(uri_rdf_type,X5,uri_owl_Restriction)
      & iext(uri_owl_complementOf,uri_ex_c,X5)
      & iext(uri_rdf_type,uri_ex_c,uri_owl_Class) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_030_Bad_Class) ).

fof(f5,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,[],[f2]) ).

fof(f6,plain,
    ! [X0,X1] :
      ( iext(uri_owl_complementOf,X0,X1)
     => ( ! [X2] :
            ( icext(X0,X2)
          <=> ~ icext(X1,X2) )
        & ic(X1)
        & ic(X0) ) ),
    inference(rectify,[],[f3]) ).

fof(f7,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,[],[f4]) ).

fof(f8,plain,
    ! [X0,X1] :
      ( iext(uri_owl_complementOf,X0,X1)
     => ! [X2] :
          ( icext(X0,X2)
        <=> ~ icext(X1,X2) ) ),
    inference(pure_predicate_removal,[],[f6]) ).

fof(f9,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,[],[f5]) ).

fof(f10,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,[],[f9]) ).

fof(f11,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( icext(X0,X2)
        <=> ~ icext(X1,X2) )
      | ~ iext(uri_owl_complementOf,X0,X1) ),
    inference(ennf_transformation,[],[f8]) ).

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)
            | ~ 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,[],[f10]) ).

fof(f14,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( icext(X0,X2)
            | icext(X1,X2) )
          & ( ~ icext(X1,X2)
            | ~ icext(X0,X2) ) )
      | ~ iext(uri_owl_complementOf,X0,X1) ),
    inference(nnf_transformation,[],[f11]) ).

fof(f15,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,sK0,literal_typed(dat_str_true,uri_xsd_boolean))
      & iext(uri_owl_onProperty,sK0,uri_rdf_type)
      & iext(uri_rdf_type,sK0,uri_owl_Restriction)
      & iext(uri_owl_complementOf,uri_ex_c,sK0)
      & iext(uri_rdf_type,uri_ex_c,uri_owl_Class) ) ),
    introduced(choice_axiom,[]) ).

fof(f16,plain,
    ( iext(uri_owl_hasSelf,sK0,literal_typed(dat_str_true,uri_xsd_boolean))
    & iext(uri_owl_onProperty,sK0,uri_rdf_type)
    & iext(uri_rdf_type,sK0,uri_owl_Restriction)
    & iext(uri_owl_complementOf,uri_ex_c,sK0)
    & iext(uri_rdf_type,uri_ex_c,uri_owl_Class) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f7,f15]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( icext(X1,X0)
      | ~ iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f18,plain,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
      | ~ icext(X1,X0) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f19,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,[],[f13]) ).

fof(f20,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,[],[f13]) ).

fof(f21,plain,
    ! [X2,X0,X1] :
      ( ~ icext(X1,X2)
      | ~ icext(X0,X2)
      | ~ iext(uri_owl_complementOf,X0,X1) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f22,plain,
    ! [X2,X0,X1] :
      ( icext(X0,X2)
      | icext(X1,X2)
      | ~ iext(uri_owl_complementOf,X0,X1) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f24,plain,
    iext(uri_owl_complementOf,uri_ex_c,sK0),
    inference(cnf_transformation,[],[f16]) ).

fof(f26,plain,
    iext(uri_owl_onProperty,sK0,uri_rdf_type),
    inference(cnf_transformation,[],[f16]) ).

fof(f27,plain,
    iext(uri_owl_hasSelf,sK0,literal_typed(dat_str_true,uri_xsd_boolean)),
    inference(cnf_transformation,[],[f16]) ).

cnf(c_49,plain,
    ( ~ icext(X0,X1)
    | iext(uri_rdf_type,X1,X0) ),
    inference(cnf_transformation,[],[f18]) ).

cnf(c_50,plain,
    ( ~ iext(uri_rdf_type,X0,X1)
    | icext(X1,X0) ),
    inference(cnf_transformation,[],[f17]) ).

cnf(c_51,plain,
    ( ~ iext(X0,X1,X1)
    | ~ iext(uri_owl_onProperty,X2,X0)
    | ~ iext(uri_owl_hasSelf,X2,X3)
    | icext(X2,X1) ),
    inference(cnf_transformation,[],[f20]) ).

cnf(c_52,plain,
    ( ~ iext(uri_owl_onProperty,X0,X1)
    | ~ iext(uri_owl_hasSelf,X0,X2)
    | ~ icext(X0,X3)
    | iext(X1,X3,X3) ),
    inference(cnf_transformation,[],[f19]) ).

cnf(c_53,plain,
    ( ~ iext(uri_owl_complementOf,X0,X1)
    | icext(X0,X2)
    | icext(X1,X2) ),
    inference(cnf_transformation,[],[f22]) ).

cnf(c_54,plain,
    ( ~ iext(uri_owl_complementOf,X0,X1)
    | ~ icext(X0,X2)
    | ~ icext(X1,X2) ),
    inference(cnf_transformation,[],[f21]) ).

cnf(c_55,plain,
    iext(uri_owl_hasSelf,sK0,literal_typed(dat_str_true,uri_xsd_boolean)),
    inference(cnf_transformation,[],[f27]) ).

cnf(c_56,plain,
    iext(uri_owl_onProperty,sK0,uri_rdf_type),
    inference(cnf_transformation,[],[f26]) ).

cnf(c_58,plain,
    iext(uri_owl_complementOf,uri_ex_c,sK0),
    inference(cnf_transformation,[],[f24]) ).

cnf(c_112,plain,
    ( ~ iext(uri_owl_complementOf,uri_ex_c,sK0)
    | icext(sK0,X0)
    | icext(uri_ex_c,X0) ),
    inference(instantiation,[status(thm)],[c_53]) ).

cnf(c_114,plain,
    ( ~ iext(uri_rdf_type,X0,X0)
    | ~ iext(uri_owl_hasSelf,sK0,X1)
    | ~ iext(uri_owl_onProperty,sK0,uri_rdf_type)
    | icext(sK0,X0) ),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_130,plain,
    ( ~ iext(uri_owl_onProperty,sK0,X0)
    | ~ iext(uri_owl_hasSelf,sK0,X1)
    | ~ icext(sK0,X2)
    | iext(X0,X2,X2) ),
    inference(instantiation,[status(thm)],[c_52]) ).

cnf(c_136,plain,
    ( ~ icext(uri_ex_c,X0)
    | iext(uri_rdf_type,X0,uri_ex_c) ),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_138,plain,
    ( ~ iext(uri_owl_complementOf,uri_ex_c,X0)
    | ~ icext(X0,X1)
    | ~ icext(uri_ex_c,X1) ),
    inference(instantiation,[status(thm)],[c_54]) ).

cnf(c_149,plain,
    ( ~ iext(uri_owl_complementOf,uri_ex_c,sK0)
    | icext(sK0,uri_ex_c)
    | icext(uri_ex_c,uri_ex_c) ),
    inference(instantiation,[status(thm)],[c_112]) ).

cnf(c_161,plain,
    ( ~ iext(uri_owl_hasSelf,sK0,literal_typed(dat_str_true,uri_xsd_boolean))
    | ~ iext(uri_owl_onProperty,sK0,X0)
    | ~ icext(sK0,X1)
    | iext(X0,X1,X1) ),
    inference(instantiation,[status(thm)],[c_130]) ).

cnf(c_173,plain,
    ( ~ iext(uri_rdf_type,X0,uri_ex_c)
    | icext(uri_ex_c,X0) ),
    inference(instantiation,[status(thm)],[c_50]) ).

cnf(c_219,plain,
    ( ~ iext(uri_rdf_type,uri_ex_c,uri_ex_c)
    | icext(uri_ex_c,uri_ex_c) ),
    inference(instantiation,[status(thm)],[c_173]) ).

cnf(c_220,plain,
    ( ~ iext(uri_owl_hasSelf,sK0,literal_typed(dat_str_true,uri_xsd_boolean))
    | ~ iext(uri_owl_onProperty,sK0,uri_rdf_type)
    | ~ icext(sK0,uri_ex_c)
    | iext(uri_rdf_type,uri_ex_c,uri_ex_c) ),
    inference(instantiation,[status(thm)],[c_161]) ).

cnf(c_287,plain,
    ( ~ icext(uri_ex_c,uri_ex_c)
    | iext(uri_rdf_type,uri_ex_c,uri_ex_c) ),
    inference(instantiation,[status(thm)],[c_136]) ).

cnf(c_289,plain,
    ( ~ iext(uri_owl_complementOf,uri_ex_c,X0)
    | ~ icext(X0,uri_ex_c)
    | ~ icext(uri_ex_c,uri_ex_c) ),
    inference(instantiation,[status(thm)],[c_138]) ).

cnf(c_299,plain,
    ( ~ iext(uri_owl_hasSelf,sK0,X0)
    | ~ iext(uri_rdf_type,uri_ex_c,uri_ex_c)
    | ~ iext(uri_owl_onProperty,sK0,uri_rdf_type)
    | icext(sK0,uri_ex_c) ),
    inference(instantiation,[status(thm)],[c_114]) ).

cnf(c_325,plain,
    ( ~ iext(uri_owl_hasSelf,sK0,literal_typed(dat_str_true,uri_xsd_boolean))
    | ~ iext(uri_rdf_type,uri_ex_c,uri_ex_c)
    | ~ iext(uri_owl_onProperty,sK0,uri_rdf_type)
    | icext(sK0,uri_ex_c) ),
    inference(instantiation,[status(thm)],[c_299]) ).

cnf(c_365,plain,
    ( ~ iext(uri_owl_complementOf,uri_ex_c,sK0)
    | ~ icext(sK0,uri_ex_c)
    | ~ icext(uri_ex_c,uri_ex_c) ),
    inference(instantiation,[status(thm)],[c_289]) ).

cnf(c_368,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_365,c_325,c_287,c_220,c_219,c_149,c_55,c_56,c_58]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : SWB030+2 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.10  % Command  : run_iprover %s %d THM
% 0.10/0.29  % Computer : n032.cluster.edu
% 0.10/0.29  % Model    : x86_64 x86_64
% 0.10/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29  % Memory   : 8042.1875MB
% 0.10/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29  % CPULimit : 300
% 0.10/0.29  % WCLimit  : 300
% 0.10/0.29  % DateTime : Sun Aug 27 06:45:44 EDT 2023
% 0.10/0.29  % CPUTime  : 
% 0.14/0.37  Running first-order theorem proving
% 0.14/0.37  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.32/1.01  % SZS status Started for theBenchmark.p
% 1.32/1.01  % SZS status Unsatisfiable for theBenchmark.p
% 1.32/1.01  
% 1.32/1.01  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.32/1.01  
% 1.32/1.01  ------  iProver source info
% 1.32/1.01  
% 1.32/1.01  git: date: 2023-05-31 18:12:56 +0000
% 1.32/1.01  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.32/1.01  git: non_committed_changes: false
% 1.32/1.01  git: last_make_outside_of_git: false
% 1.32/1.01  
% 1.32/1.01  ------ Parsing...
% 1.32/1.01  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 1.32/1.01  
% 1.32/1.01  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 1.32/1.01  
% 1.32/1.01  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.32/1.01  ------ Proving...
% 1.32/1.01  ------ Problem Properties 
% 1.32/1.01  
% 1.32/1.01  
% 1.32/1.01  clauses                                 11
% 1.32/1.01  conjectures                             0
% 1.32/1.01  EPR                                     10
% 1.32/1.01  Horn                                    10
% 1.32/1.01  unary                                   5
% 1.32/1.01  binary                                  2
% 1.32/1.01  lits                                    23
% 1.32/1.01  lits eq                                 0
% 1.32/1.01  fd_pure                                 0
% 1.32/1.01  fd_pseudo                               0
% 1.32/1.02  fd_cond                                 0
% 1.32/1.02  fd_pseudo_cond                          0
% 1.32/1.02  AC symbols                              0
% 1.32/1.02  
% 1.32/1.02  ------ Schedule dynamic 5 is on 
% 1.32/1.02  
% 1.32/1.02  ------ no conjectures: strip conj schedule 
% 1.32/1.02  
% 1.32/1.02  ------ no equalities: superposition off 
% 1.32/1.02  
% 1.32/1.02  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 1.32/1.02  
% 1.32/1.02  
% 1.32/1.02  ------ 
% 1.32/1.02  Current options:
% 1.32/1.02  ------ 
% 1.32/1.02  
% 1.32/1.02  
% 1.32/1.02  
% 1.32/1.02  
% 1.32/1.02  ------ Proving...
% 1.32/1.02  
% 1.32/1.02  
% 1.32/1.02  % SZS status Unsatisfiable for theBenchmark.p
% 1.32/1.02  
% 1.32/1.02  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.32/1.02  
% 1.32/1.02  
%------------------------------------------------------------------------------