↑ Up

FindProof---0.1.THM-Prf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : SWB017+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 : n009.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 03:03:46 PM UTC 2026

% Result   : Theorem 2.45s 0.78s
% Output   : Proof 2.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   24 (  12 unt;   0 def)
%            Number of atoms       :   63 (   7 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :   65 (  26   ~;  18   |;  19   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   28 (   0 sgn  18   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [P1,P2] :
      ( iext(uri_owl_propertyDisjointWith,P1,P2)
    <=> ( ! [X,Y] :
            ~ ( iext(P2,X,Y)
              & iext(P1,X,Y) )
        & ip(P2)
        & ip(P1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_propertydisjointwith) ).

fof(f1_nnf,plain,
    ! [P1,P2] :
      ( ( ? [X,Y] :
            ( iext(P2,X,Y)
            & iext(P1,X,Y) )
        | ~ ip(P2)
        | ~ ip(P1)
        | iext(uri_owl_propertyDisjointWith,P1,P2) )
      & ( ( ! [X,Y] :
              ( ~ iext(P2,X,Y)
              | ~ iext(P1,X,Y) )
          & ip(P2)
          & ip(P1) )
        | ~ iext(uri_owl_propertyDisjointWith,P1,P2) ) ),
    inference(nnf_transformation,[status(thm)],[f1]) ).

fof(f1_sk,plain,
    ! [P1,P2,X,Y] :
      ( ( ( iext(P2,sk0(P1,P2),sk1(P1,P2))
          & iext(P1,sk0(P1,P2),sk1(P1,P2)) )
        | ~ ip(P2)
        | ~ ip(P1)
        | iext(uri_owl_propertyDisjointWith,P1,P2) )
      & ( ( ( ~ iext(P2,X,Y)
            | ~ iext(P1,X,Y) )
          & ip(P2)
          & ip(P1) )
        | ~ iext(uri_owl_propertyDisjointWith,P1,P2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1])],[f1_nnf]) ).

cnf(c4,plain,
    ( ~ iext(X1,X2,X3)
    | ~ iext(X0,X2,X3)
    | ~ iext(uri_owl_propertyDisjointWith,X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f1_sk]) ).

fof(f3,axiom,
    ( iext(uri_ex_notInstanceOf,uri_ex_u,uri_ex_c)
    & iext(uri_rdf_type,uri_ex_w,uri_ex_c)
    & iext(uri_owl_propertyDisjointWith,uri_ex_notInstanceOf,uri_rdf_type) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_017_Built_in_Based_Definitions) ).

fof(f3_nnf,plain,
    ( iext(uri_ex_notInstanceOf,uri_ex_u,uri_ex_c)
    & iext(uri_rdf_type,uri_ex_w,uri_ex_c)
    & iext(uri_owl_propertyDisjointWith,uri_ex_notInstanceOf,uri_rdf_type) ),
    inference(nnf_transformation,[status(thm)],[f3]) ).

fof(f3_sk,plain,
    ( iext(uri_ex_notInstanceOf,uri_ex_u,uri_ex_c)
    & iext(uri_rdf_type,uri_ex_w,uri_ex_c)
    & iext(uri_owl_propertyDisjointWith,uri_ex_notInstanceOf,uri_rdf_type) ),
    inference(skolemisation,[status(esa)],[f3_nnf]) ).

cnf(c8,plain,
    iext(uri_owl_propertyDisjointWith,uri_ex_notInstanceOf,uri_rdf_type),
    inference(cnf_transformation,[status(esa)],[f3_sk]) ).

cnf(p19,plain,
    ( ~ iext(uri_rdf_type,X0,X1)
    | ~ iext(uri_ex_notInstanceOf,X0,X1) ),
    inference(resolution,[status(thm)],[c4,c8]) ).

fof(f0,axiom,
    ! [X,Y] :
      ( iext(uri_owl_differentFrom,X,Y)
    <=> X != Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_differentfrom) ).

fof(f0_nnf,plain,
    ! [X,Y] :
      ( ( X = Y
        | iext(uri_owl_differentFrom,X,Y) )
      & ( X != Y
        | ~ iext(uri_owl_differentFrom,X,Y) ) ),
    inference(nnf_transformation,[status(thm)],[f0]) ).

fof(f0_sk,plain,
    ! [X,Y] :
      ( ( X = Y
        | iext(uri_owl_differentFrom,X,Y) )
      & ( X != Y
        | ~ iext(uri_owl_differentFrom,X,Y) ) ),
    inference(skolemisation,[status(esa)],[f0_nnf]) ).

cnf(c1,plain,
    ( X0 = X1
    | iext(uri_owl_differentFrom,X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f0_sk]) ).

fof(f2,conjecture,
    iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_017_Built_in_Based_Definitions) ).

fof(f2_neg,negated_conjecture,
    ~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
    inference(negated_conjecture,[status(cth)],[f2]) ).

fof(f2_nnf,plain,
    ~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
    inference(nnf_transformation,[status(thm)],[f2_neg]) ).

fof(f2_sk,plain,
    ~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
    inference(skolemisation,[status(esa)],[f2_nnf]) ).

cnf(c7,plain,
    ~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
    inference(cnf_transformation,[status(esa)],[f2_sk]) ).

cnf(p14,plain,
    uri_ex_w = uri_ex_u,
    inference(resolution,[status(thm)],[c1,c7]) ).

cnf(c10,plain,
    iext(uri_ex_notInstanceOf,uri_ex_u,uri_ex_c),
    inference(cnf_transformation,[status(esa)],[f3_sk]) ).

cnf(p15,plain,
    iext(uri_ex_notInstanceOf,uri_ex_w,uri_ex_c),
    inference(superposition,[status(thm)],[p14,c10]) ).

cnf(p27,plain,
    ~ iext(uri_rdf_type,uri_ex_w,uri_ex_c),
    inference(resolution,[status(thm)],[p19,p15]) ).

cnf(c9,plain,
    iext(uri_rdf_type,uri_ex_w,uri_ex_c),
    inference(cnf_transformation,[status(esa)],[f3_sk]) ).

cnf(p28,plain,
    $false,
    inference(resolution,[status(thm)],[p27,c9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB017+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.36  % Computer : n009.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Thu Sep 24 15:28:45 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.36  Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.45/0.78  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.45/0.78  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------