↑ Up

FindProof---0.1.UNS-Prf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : SWB011+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 03:03:44 PM UTC 2026

% Result   : Unsatisfiable 3.64s 0.93s
% Output   : Proof 3.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   19 (   7 unt;   0 def)
%            Number of atoms       :   58 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :   61 (  22   ~;  18   |;  19   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   22 (   0 sgn  15   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ( iext(uri_rdf_type,uri_ex_x,uri_owl_ObjectProperty)
    & iext(uri_rdf_type,uri_ex_x,uri_owl_Class)
    & iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_011_Entity_Types_as_Classes) ).

fof(f2_nnf,plain,
    ( iext(uri_rdf_type,uri_ex_x,uri_owl_ObjectProperty)
    & iext(uri_rdf_type,uri_ex_x,uri_owl_Class)
    & iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty) ),
    inference(nnf_transformation,[status(thm)],[f2]) ).

fof(f2_sk,plain,
    ( iext(uri_rdf_type,uri_ex_x,uri_owl_ObjectProperty)
    & iext(uri_rdf_type,uri_ex_x,uri_owl_Class)
    & iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty) ),
    inference(skolemisation,[status(esa)],[f2_nnf]) ).

cnf(c8,plain,
    iext(uri_rdf_type,uri_ex_x,uri_owl_Class),
    inference(cnf_transformation,[status(esa)],[f2_sk]) ).

fof(f0,axiom,
    ! [X,C] :
      ( iext(uri_rdf_type,X,C)
    <=> icext(C,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).

fof(f0_nnf,plain,
    ! [X,C] :
      ( ( ~ icext(C,X)
        | iext(uri_rdf_type,X,C) )
      & ( icext(C,X)
        | ~ iext(uri_rdf_type,X,C) ) ),
    inference(nnf_transformation,[status(thm)],[f0]) ).

fof(f0_sk,plain,
    ! [X,C] :
      ( ( ~ icext(C,X)
        | iext(uri_rdf_type,X,C) )
      & ( icext(C,X)
        | ~ iext(uri_rdf_type,X,C) ) ),
    inference(skolemisation,[status(esa)],[f0_nnf]) ).

cnf(c0,plain,
    ( icext(X1,X0)
    | ~ iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f0_sk]) ).

cnf(p15,plain,
    icext(uri_owl_Class,uri_ex_x),
    inference(resolution,[status(thm)],[c8,c0]) ).

cnf(c7,plain,
    iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty),
    inference(cnf_transformation,[status(esa)],[f2_sk]) ).

fof(f1,axiom,
    ! [C1,C2] :
      ( iext(uri_owl_disjointWith,C1,C2)
    <=> ( ! [X] :
            ~ ( icext(C2,X)
              & icext(C1,X) )
        & ic(C2)
        & ic(C1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_disjointwith) ).

fof(f1_nnf,plain,
    ! [C1,C2] :
      ( ( ? [X] :
            ( icext(C2,X)
            & icext(C1,X) )
        | ~ ic(C2)
        | ~ ic(C1)
        | iext(uri_owl_disjointWith,C1,C2) )
      & ( ( ! [X] :
              ( ~ icext(C2,X)
              | ~ icext(C1,X) )
          & ic(C2)
          & ic(C1) )
        | ~ iext(uri_owl_disjointWith,C1,C2) ) ),
    inference(nnf_transformation,[status(thm)],[f1]) ).

fof(f1_sk,plain,
    ! [C1,C2,X] :
      ( ( ( icext(C2,sk0(C1,C2))
          & icext(C1,sk0(C1,C2)) )
        | ~ ic(C2)
        | ~ ic(C1)
        | iext(uri_owl_disjointWith,C1,C2) )
      & ( ( ( ~ icext(C2,X)
            | ~ icext(C1,X) )
          & ic(C2)
          & ic(C1) )
        | ~ iext(uri_owl_disjointWith,C1,C2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f1_nnf]) ).

cnf(c4,plain,
    ( ~ icext(X1,X2)
    | ~ icext(X0,X2)
    | ~ iext(uri_owl_disjointWith,X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f1_sk]) ).

cnf(p14,plain,
    ( ~ icext(uri_owl_ObjectProperty,X0)
    | ~ icext(uri_owl_Class,X0) ),
    inference(resolution,[status(thm)],[c7,c4]) ).

cnf(p23,plain,
    ~ icext(uri_owl_ObjectProperty,uri_ex_x),
    inference(resolution,[status(thm)],[p15,p14]) ).

cnf(c9,plain,
    iext(uri_rdf_type,uri_ex_x,uri_owl_ObjectProperty),
    inference(cnf_transformation,[status(esa)],[f2_sk]) ).

cnf(p16,plain,
    icext(uri_owl_ObjectProperty,uri_ex_x),
    inference(resolution,[status(thm)],[c9,c0]) ).

cnf(p29,plain,
    $false,
    inference(resolution,[status(thm)],[p23,p16]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWB011+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03  % Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.34  % Computer : n013.cluster.edu
% 0.10/0.34  % Model    : x86_64 x86_64
% 0.10/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34  % Memory   : 8046.5625MB
% 0.10/0.34  % OS       : Linux 6.8.0-71-generic
% 0.10/0.34  % CPULimit : 300
% 0.10/0.34  % WCLimit  : 300
% 0.10/0.34  % DateTime : Thu Sep 24 15:23:36 UTC 2026
% 0.10/0.34  % CPUTime  : 
% 0.10/0.34  Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.64/0.93  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.64/0.93  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------