TSTP Solution File: SWB096+1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWB096+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n004.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 : Wed May 31 12:38:47 EDT 2023

% Result   : Theorem 213.17s 27.23s
% Output   : CNFRefutation 213.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   33 (  10 unt;   0 def)
%            Number of atoms       :  103 (   0 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  123 (  53   ~;  49   |;  17   &)
%                                         (   3 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;  10 con; 0-4 aty)
%            Number of variables   :   65 (;  59   !;   6   ?)

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

fof(f337,axiom,
    ! [Z,P,C] :
      ( ( iext(uri_owl_minQualifiedCardinality,Z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
        & iext(uri_owl_onProperty,Z,P)
        & iext(uri_owl_onClass,Z,C) )
     => ! [X] :
          ( icext(Z,X)
        <=> ? [Y] :
              ( iext(P,X,Y)
              & icext(C,Y) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f559,conjecture,
    ? [X0] :
      ( iext(uri_rdf_type,X0,uri_ex_c)
      & iext(uri_ex_p,uri_ex_w,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f560,negated_conjecture,
    ~ ? [X0] :
        ( iext(uri_rdf_type,X0,uri_ex_c)
        & iext(uri_ex_p,uri_ex_w,X0) ),
    inference(negated_conjecture,[status(cth)],[f559]) ).

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

fof(f592,plain,
    ! [X,C] :
      ( ( ~ iext(uri_rdf_type,X,C)
        | icext(C,X) )
      & ( iext(uri_rdf_type,X,C)
        | ~ icext(C,X) ) ),
    inference(NNF_transformation,[status(esa)],[f25]) ).

fof(f593,plain,
    ( ! [X,C] :
        ( ~ iext(uri_rdf_type,X,C)
        | icext(C,X) )
    & ! [X,C] :
        ( iext(uri_rdf_type,X,C)
        | ~ icext(C,X) ) ),
    inference(miniscoping,[status(esa)],[f592]) ).

fof(f594,plain,
    ! [X0,X1] :
      ( ~ iext(uri_rdf_type,X0,X1)
      | icext(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f593]) ).

fof(f595,plain,
    ! [X0,X1] :
      ( iext(uri_rdf_type,X0,X1)
      | ~ icext(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f593]) ).

fof(f1675,plain,
    ! [Z,P,C] :
      ( ~ iext(uri_owl_minQualifiedCardinality,Z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
      | ~ iext(uri_owl_onProperty,Z,P)
      | ~ iext(uri_owl_onClass,Z,C)
      | ! [X] :
          ( icext(Z,X)
        <=> ? [Y] :
              ( iext(P,X,Y)
              & icext(C,Y) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f337]) ).

fof(f1676,plain,
    ! [Z,P,C] :
      ( ~ iext(uri_owl_minQualifiedCardinality,Z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
      | ~ iext(uri_owl_onProperty,Z,P)
      | ~ iext(uri_owl_onClass,Z,C)
      | ! [X] :
          ( ( ~ icext(Z,X)
            | ? [Y] :
                ( iext(P,X,Y)
                & icext(C,Y) ) )
          & ( icext(Z,X)
            | ! [Y] :
                ( ~ iext(P,X,Y)
                | ~ icext(C,Y) ) ) ) ),
    inference(NNF_transformation,[status(esa)],[f1675]) ).

fof(f1677,plain,
    ! [Z,P,C] :
      ( ~ iext(uri_owl_minQualifiedCardinality,Z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
      | ~ iext(uri_owl_onProperty,Z,P)
      | ~ iext(uri_owl_onClass,Z,C)
      | ( ! [X] :
            ( ~ icext(Z,X)
            | ? [Y] :
                ( iext(P,X,Y)
                & icext(C,Y) ) )
        & ! [X] :
            ( icext(Z,X)
            | ! [Y] :
                ( ~ iext(P,X,Y)
                | ~ icext(C,Y) ) ) ) ),
    inference(miniscoping,[status(esa)],[f1676]) ).

fof(f1678,plain,
    ! [Z,P,C] :
      ( ~ iext(uri_owl_minQualifiedCardinality,Z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
      | ~ iext(uri_owl_onProperty,Z,P)
      | ~ iext(uri_owl_onClass,Z,C)
      | ( ! [X] :
            ( ~ icext(Z,X)
            | ( iext(P,X,sk0_104(X,C,P,Z))
              & icext(C,sk0_104(X,C,P,Z)) ) )
        & ! [X] :
            ( icext(Z,X)
            | ! [Y] :
                ( ~ iext(P,X,Y)
                | ~ icext(C,Y) ) ) ) ),
    inference(skolemization,[status(esa)],[f1677]) ).

fof(f1679,plain,
    ! [X0,X1,X2,X3] :
      ( ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_onClass,X0,X2)
      | ~ icext(X0,X3)
      | iext(X1,X3,sk0_104(X3,X2,X1,X0)) ),
    inference(cnf_transformation,[status(esa)],[f1678]) ).

fof(f1680,plain,
    ! [X0,X1,X2,X3] :
      ( ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
      | ~ iext(uri_owl_onProperty,X0,X1)
      | ~ iext(uri_owl_onClass,X0,X2)
      | ~ icext(X0,X3)
      | icext(X2,sk0_104(X3,X2,X1,X0)) ),
    inference(cnf_transformation,[status(esa)],[f1678]) ).

fof(f2405,plain,
    ! [X0] :
      ( ~ iext(uri_rdf_type,X0,uri_ex_c)
      | ~ iext(uri_ex_p,uri_ex_w,X0) ),
    inference(pre_NNF_transformation,[status(esa)],[f560]) ).

fof(f2406,plain,
    ! [X0] :
      ( ~ iext(uri_rdf_type,X0,uri_ex_c)
      | ~ iext(uri_ex_p,uri_ex_w,X0) ),
    inference(cnf_transformation,[status(esa)],[f2405]) ).

fof(f2407,plain,
    iext(uri_owl_minQualifiedCardinality,uri_ex_z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)),
    inference(cnf_transformation,[status(esa)],[f561]) ).

fof(f2408,plain,
    iext(uri_owl_onProperty,uri_ex_z,uri_ex_p),
    inference(cnf_transformation,[status(esa)],[f561]) ).

fof(f2409,plain,
    iext(uri_owl_onClass,uri_ex_z,uri_ex_c),
    inference(cnf_transformation,[status(esa)],[f561]) ).

fof(f2410,plain,
    iext(uri_rdf_type,uri_ex_w,uri_ex_z),
    inference(cnf_transformation,[status(esa)],[f561]) ).

fof(f2529,plain,
    icext(uri_ex_z,uri_ex_w),
    inference(resolution,[status(thm)],[f594,f2410]) ).

fof(f33487,plain,
    ! [X0,X1,X2] :
      ( ~ iext(uri_owl_onProperty,uri_ex_z,X0)
      | ~ iext(uri_owl_onClass,uri_ex_z,X1)
      | ~ icext(uri_ex_z,X2)
      | iext(X0,X2,sk0_104(X2,X1,X0,uri_ex_z)) ),
    inference(resolution,[status(thm)],[f2407,f1679]) ).

fof(f33488,plain,
    ! [X0,X1,X2] :
      ( ~ iext(uri_owl_onProperty,uri_ex_z,X0)
      | ~ iext(uri_owl_onClass,uri_ex_z,X1)
      | ~ icext(uri_ex_z,X2)
      | icext(X1,sk0_104(X2,X1,X0,uri_ex_z)) ),
    inference(resolution,[status(thm)],[f2407,f1680]) ).

fof(f61827,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_onClass,uri_ex_z,X0)
      | ~ icext(uri_ex_z,X1)
      | icext(X0,sk0_104(X1,X0,uri_ex_p,uri_ex_z)) ),
    inference(resolution,[status(thm)],[f33488,f2408]) ).

fof(f61828,plain,
    ! [X0] :
      ( ~ icext(uri_ex_z,X0)
      | icext(uri_ex_c,sk0_104(X0,uri_ex_c,uri_ex_p,uri_ex_z)) ),
    inference(resolution,[status(thm)],[f61827,f2409]) ).

fof(f61829,plain,
    icext(uri_ex_c,sk0_104(uri_ex_w,uri_ex_c,uri_ex_p,uri_ex_z)),
    inference(resolution,[status(thm)],[f61828,f2529]) ).

fof(f61840,plain,
    iext(uri_rdf_type,sk0_104(uri_ex_w,uri_ex_c,uri_ex_p,uri_ex_z),uri_ex_c),
    inference(resolution,[status(thm)],[f61829,f595]) ).

fof(f61851,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_onClass,uri_ex_z,X0)
      | ~ icext(uri_ex_z,X1)
      | iext(uri_ex_p,X1,sk0_104(X1,X0,uri_ex_p,uri_ex_z)) ),
    inference(resolution,[status(thm)],[f33487,f2408]) ).

fof(f61895,plain,
    ! [X0] :
      ( ~ icext(uri_ex_z,X0)
      | iext(uri_ex_p,X0,sk0_104(X0,uri_ex_c,uri_ex_p,uri_ex_z)) ),
    inference(resolution,[status(thm)],[f61851,f2409]) ).

fof(f61896,plain,
    iext(uri_ex_p,uri_ex_w,sk0_104(uri_ex_w,uri_ex_c,uri_ex_p,uri_ex_z)),
    inference(resolution,[status(thm)],[f61895,f2529]) ).

fof(f61897,plain,
    ~ iext(uri_rdf_type,sk0_104(uri_ex_w,uri_ex_c,uri_ex_p,uri_ex_z),uri_ex_c),
    inference(resolution,[status(thm)],[f61896,f2406]) ).

fof(f61898,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f61897,f61840]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.13  % Problem  : SWB096+1 : TPTP v8.1.2. Released v5.2.0.
% 0.02/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.34  % Computer : n004.cluster.edu
% 0.09/0.34  % Model    : x86_64 x86_64
% 0.09/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34  % Memory   : 8042.1875MB
% 0.09/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.34  % CPULimit : 300
% 0.09/0.34  % WCLimit  : 300
% 0.09/0.34  % DateTime : Tue May 30 10:35:52 EDT 2023
% 0.09/0.34  % CPUTime  : 
% 0.16/0.38  % Drodi V3.5.1
% 213.17/27.23  % Refutation found
% 213.17/27.23  % SZS status Theorem for theBenchmark: Theorem is valid
% 213.17/27.23  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 213.54/27.34  % Elapsed time: 26.977869 seconds
% 213.54/27.34  % CPU time: 213.854858 seconds
% 213.54/27.34  % Memory used: 463.194 MB
%------------------------------------------------------------------------------