TSTP Solution File: SWB097+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWB097+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 20:09:42 EDT 2023

% Result   : Theorem 12.03s 2.68s
% Output   : CNFRefutation 12.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   41 (  19 unt;   0 def)
%            Number of atoms       :  120 (   0 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  136 (  57   ~;  49   |;  21   &)
%                                         (   6 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;  11 con; 0-3 aty)
%            Number of variables   :   72 (   0 sgn;  49   !;   7   ?)

% 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(f337,axiom,
    ! [X10,X1,X4] :
      ( ( iext(uri_owl_onClass,X10,X4)
        & iext(uri_owl_onProperty,X10,X1)
        & iext(uri_owl_minQualifiedCardinality,X10,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) )
     => ! [X3] :
          ( icext(X10,X3)
        <=> ? [X6] :
              ( icext(X4,X6)
              & iext(X1,X3,X6) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_minqcr_object_001) ).

fof(f559,conjecture,
    iext(uri_rdf_type,uri_ex_w,uri_ex_z),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_rdfbased_sem_restrict_minqcr_inst_subj_one) ).

fof(f560,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_w,uri_ex_z),
    inference(negated_conjecture,[],[f559]) ).

fof(f561,axiom,
    ( iext(uri_ex_p,uri_ex_w,uri_ex_x)
    & iext(uri_rdf_type,uri_ex_x,uri_ex_c)
    & iext(uri_owl_onClass,uri_ex_z,uri_ex_c)
    & iext(uri_owl_onProperty,uri_ex_z,uri_ex_p)
    & iext(uri_owl_minQualifiedCardinality,uri_ex_z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_rdfbased_sem_restrict_minqcr_inst_subj_one) ).

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

fof(f748,plain,
    ! [X0,X1,X2] :
      ( ( iext(uri_owl_onClass,X0,X2)
        & iext(uri_owl_onProperty,X0,X1)
        & iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) )
     => ! [X3] :
          ( icext(X0,X3)
        <=> ? [X4] :
              ( icext(X2,X4)
              & iext(X1,X3,X4) ) ) ),
    inference(rectify,[],[f337]) ).

fof(f920,plain,
    ~ iext(uri_rdf_type,uri_ex_w,uri_ex_z),
    inference(flattening,[],[f560]) ).

fof(f1129,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( icext(X0,X3)
        <=> ? [X4] :
              ( icext(X2,X4)
              & iext(X1,X3,X4) ) )
      | ~ iext(uri_owl_onClass,X0,X2)
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
    inference(ennf_transformation,[],[f748]) ).

fof(f1130,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( icext(X0,X3)
        <=> ? [X4] :
              ( icext(X2,X4)
              & iext(X1,X3,X4) ) )
      | ~ iext(uri_owl_onClass,X0,X2)
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
    inference(flattening,[],[f1129]) ).

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(f1691,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_onClass,X0,X2)
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
    inference(nnf_transformation,[],[f1130]) ).

fof(f1692,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_onClass,X0,X2)
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
    inference(rectify,[],[f1691]) ).

fof(f1693,plain,
    ! [X1,X2,X3] :
      ( ? [X5] :
          ( icext(X2,X5)
          & iext(X1,X3,X5) )
     => ( icext(X2,sK156(X1,X2,X3))
        & iext(X1,X3,sK156(X1,X2,X3)) ) ),
    introduced(choice_axiom,[]) ).

fof(f1694,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( ( icext(X0,X3)
            | ! [X4] :
                ( ~ icext(X2,X4)
                | ~ iext(X1,X3,X4) ) )
          & ( ( icext(X2,sK156(X1,X2,X3))
              & iext(X1,X3,sK156(X1,X2,X3)) )
            | ~ icext(X0,X3) ) )
      | ~ iext(uri_owl_onClass,X0,X2)
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK156])],[f1692,f1693]) ).

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

fof(f1945,plain,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
      | ~ icext(X1,X0) ),
    inference(cnf_transformation,[],[f1409]) ).

fof(f2736,plain,
    ! [X2,X3,X0,X1,X4] :
      ( icext(X0,X3)
      | ~ icext(X2,X4)
      | ~ iext(X1,X3,X4)
      | ~ iext(uri_owl_onClass,X0,X2)
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
    inference(cnf_transformation,[],[f1694]) ).

fof(f3208,plain,
    ~ iext(uri_rdf_type,uri_ex_w,uri_ex_z),
    inference(cnf_transformation,[],[f920]) ).

fof(f3209,plain,
    iext(uri_owl_minQualifiedCardinality,uri_ex_z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)),
    inference(cnf_transformation,[],[f561]) ).

fof(f3210,plain,
    iext(uri_owl_onProperty,uri_ex_z,uri_ex_p),
    inference(cnf_transformation,[],[f561]) ).

fof(f3211,plain,
    iext(uri_owl_onClass,uri_ex_z,uri_ex_c),
    inference(cnf_transformation,[],[f561]) ).

fof(f3212,plain,
    iext(uri_rdf_type,uri_ex_x,uri_ex_c),
    inference(cnf_transformation,[],[f561]) ).

fof(f3213,plain,
    iext(uri_ex_p,uri_ex_w,uri_ex_x),
    inference(cnf_transformation,[],[f561]) ).

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_864,plain,
    ( ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
    | ~ iext(X1,X2,X3)
    | ~ iext(uri_owl_onClass,X0,X4)
    | ~ iext(uri_owl_onProperty,X0,X1)
    | ~ icext(X4,X3)
    | icext(X0,X2) ),
    inference(cnf_transformation,[],[f2736]) ).

cnf(c_1326,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_w,uri_ex_z),
    inference(cnf_transformation,[],[f3208]) ).

cnf(c_1327,plain,
    iext(uri_ex_p,uri_ex_w,uri_ex_x),
    inference(cnf_transformation,[],[f3213]) ).

cnf(c_1328,plain,
    iext(uri_rdf_type,uri_ex_x,uri_ex_c),
    inference(cnf_transformation,[],[f3212]) ).

cnf(c_1329,plain,
    iext(uri_owl_onClass,uri_ex_z,uri_ex_c),
    inference(cnf_transformation,[],[f3211]) ).

cnf(c_1330,plain,
    iext(uri_owl_onProperty,uri_ex_z,uri_ex_p),
    inference(cnf_transformation,[],[f3210]) ).

cnf(c_1331,plain,
    iext(uri_owl_minQualifiedCardinality,uri_ex_z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)),
    inference(cnf_transformation,[],[f3209]) ).

cnf(c_41197,plain,
    ~ icext(uri_ex_z,uri_ex_w),
    inference(superposition,[status(thm)],[c_74,c_1326]) ).

cnf(c_41823,plain,
    icext(uri_ex_c,uri_ex_x),
    inference(superposition,[status(thm)],[c_1328,c_75]) ).

cnf(c_41970,plain,
    ( ~ iext(X0,X1,X2)
    | ~ iext(uri_owl_onClass,uri_ex_z,X3)
    | ~ iext(uri_owl_onProperty,uri_ex_z,X0)
    | ~ icext(X3,X2)
    | icext(uri_ex_z,X1) ),
    inference(superposition,[status(thm)],[c_1331,c_864]) ).

cnf(c_42251,plain,
    ( ~ iext(uri_owl_onClass,uri_ex_z,X0)
    | ~ iext(uri_owl_onProperty,uri_ex_z,uri_ex_p)
    | ~ icext(X0,uri_ex_x)
    | icext(uri_ex_z,uri_ex_w) ),
    inference(superposition,[status(thm)],[c_1327,c_41970]) ).

cnf(c_42515,plain,
    ( ~ icext(X0,uri_ex_x)
    | ~ iext(uri_owl_onClass,uri_ex_z,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_42251,c_1330,c_41197,c_42251]) ).

cnf(c_42516,plain,
    ( ~ iext(uri_owl_onClass,uri_ex_z,X0)
    | ~ icext(X0,uri_ex_x) ),
    inference(renaming,[status(thm)],[c_42515]) ).

cnf(c_42522,plain,
    ~ icext(uri_ex_c,uri_ex_x),
    inference(superposition,[status(thm)],[c_1329,c_42516]) ).

cnf(c_42523,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_41823,c_42522]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : SWB097+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n012.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Sun Aug 27 07:35:55 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.20/0.46  Running first-order theorem proving
% 0.20/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 12.03/2.68  % SZS status Started for theBenchmark.p
% 12.03/2.68  % SZS status Theorem for theBenchmark.p
% 12.03/2.68  
% 12.03/2.68  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 12.03/2.68  
% 12.03/2.68  ------  iProver source info
% 12.03/2.68  
% 12.03/2.68  git: date: 2023-05-31 18:12:56 +0000
% 12.03/2.68  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 12.03/2.68  git: non_committed_changes: false
% 12.03/2.68  git: last_make_outside_of_git: false
% 12.03/2.68  
% 12.03/2.68  ------ Parsing...
% 12.03/2.68  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 12.03/2.68  
% 12.03/2.68  ------ Preprocessing... sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e 
% 12.03/2.68  
% 12.03/2.68  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 12.03/2.68  
% 12.03/2.68  ------ Preprocessing... sf_s  rm: 1 0s  sf_e 
% 12.03/2.68  ------ Proving...
% 12.03/2.68  ------ Problem Properties 
% 12.03/2.68  
% 12.03/2.68  
% 12.03/2.68  clauses                                 1174
% 12.03/2.68  conjectures                             1
% 12.03/2.68  EPR                                     713
% 12.03/2.68  Horn                                    905
% 12.03/2.68  unary                                   230
% 12.03/2.68  binary                                  455
% 12.03/2.68  lits                                    3738
% 12.03/2.68  lits eq                                 197
% 12.03/2.68  fd_pure                                 0
% 12.03/2.68  fd_pseudo                               0
% 12.03/2.68  fd_cond                                 0
% 12.03/2.68  fd_pseudo_cond                          66
% 12.03/2.68  AC symbols                              0
% 12.03/2.68  
% 12.03/2.68  ------ Input Options Time Limit: Unbounded
% 12.03/2.68  
% 12.03/2.68  
% 12.03/2.68  ------ 
% 12.03/2.68  Current options:
% 12.03/2.68  ------ 
% 12.03/2.68  
% 12.03/2.68  
% 12.03/2.68  
% 12.03/2.68  
% 12.03/2.68  ------ Proving...
% 12.03/2.68  
% 12.03/2.68  
% 12.03/2.68  ------ Proving...
% 12.03/2.68  
% 12.03/2.68  
% 12.03/2.68  ------ Proving...
% 12.03/2.68  
% 12.03/2.68  
% 12.03/2.68  ------ Proving...
% 12.03/2.68  
% 12.03/2.68  
% 12.03/2.68  ------ Proving...
% 12.03/2.68  
% 12.03/2.68  
% 12.03/2.68  ------ Proving...
% 12.03/2.68  
% 12.03/2.68  
% 12.03/2.68  % SZS status Theorem for theBenchmark.p
% 12.03/2.68  
% 12.03/2.68  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 12.03/2.68  
% 12.03/2.68  
%------------------------------------------------------------------------------