↑ Up

FindProof---0.1.THM-Prf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : SWB057+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300

% Computer : n008.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 03:03:56 PM UTC 2026

% Result   : Theorem 27.53s 5.13s
% Output   : Proof 27.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   30 (  14 unt;   0 def)
%            Number of atoms       :   71 (   7 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   69 (  28   ~;  19   |;  18   &)
%                                         (   3 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   7 con; 0-0 aty)
%            Number of variables   :   31 (   0 sgn  21   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f344,axiom,
    ! [X,Y] :
      ( iext(uri_owl_differentFrom,X,Y)
    <=> X != Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_differentfrom) ).

fof(f344_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)],[f344]) ).

fof(f344_sk,plain,
    ! [X,Y] :
      ( ( X = Y
        | iext(uri_owl_differentFrom,X,Y) )
      & ( X != Y
        | ~ iext(uri_owl_differentFrom,X,Y) ) ),
    inference(skolemisation,[status(esa)],[f344_nnf]) ).

cnf(c828,plain,
    ( X0 = X1
    | iext(uri_owl_differentFrom,X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f344_sk]) ).

fof(f558,conjecture,
    iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_rdfbased_sem_eqdis_different_ext) ).

fof(f558_neg,negated_conjecture,
    ~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
    inference(negated_conjecture,[status(cth)],[f558]) ).

fof(f558_nnf,plain,
    ~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
    inference(nnf_transformation,[status(thm)],[f558_neg]) ).

fof(f558_sk,plain,
    ~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
    inference(skolemisation,[status(esa)],[f558_nnf]) ).

cnf(c1406,plain,
    ~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
    inference(cnf_transformation,[status(esa)],[f558_sk]) ).

cnf(p545,plain,
    uri_ex_w = uri_ex_u,
    inference(resolution,[status(thm)],[c828,c1406]) ).

fof(f277,axiom,
    ! [Z,C] :
      ( iext(uri_owl_complementOf,Z,C)
     => ( ! [X] :
            ( icext(Z,X)
          <=> ~ icext(C,X) )
        & ic(C)
        & ic(Z) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_complementof_class) ).

fof(f277_nnf,plain,
    ! [Z,C] :
      ( ( ! [X] :
            ( ( icext(C,X)
              | icext(Z,X) )
            & ( ~ icext(C,X)
              | ~ icext(Z,X) ) )
        & ic(C)
        & ic(Z) )
      | ~ iext(uri_owl_complementOf,Z,C) ),
    inference(nnf_transformation,[status(thm)],[f277]) ).

fof(f277_sk,plain,
    ! [Z,C,X] :
      ( ( ( icext(C,X)
          | icext(Z,X) )
        & ( ~ icext(C,X)
          | ~ icext(Z,X) )
        & ic(C)
        & ic(Z) )
      | ~ iext(uri_owl_complementOf,Z,C) ),
    inference(skolemisation,[status(esa)],[f277_nnf]) ).

cnf(c368,plain,
    ( ~ icext(X1,X2)
    | ~ icext(X0,X2)
    | ~ iext(uri_owl_complementOf,X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f277_sk]) ).

fof(f559,axiom,
    ? [X0] :
      ( iext(uri_rdf_type,uri_ex_w,uri_ex_c)
      & iext(uri_owl_complementOf,X0,uri_ex_c)
      & iext(uri_rdf_type,uri_ex_u,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_rdfbased_sem_eqdis_different_ext) ).

fof(f559_nnf,plain,
    ? [X0] :
      ( iext(uri_rdf_type,uri_ex_w,uri_ex_c)
      & iext(uri_owl_complementOf,X0,uri_ex_c)
      & iext(uri_rdf_type,uri_ex_u,X0) ),
    inference(nnf_transformation,[status(thm)],[f559]) ).

fof(f559_sk,plain,
    ( iext(uri_rdf_type,uri_ex_w,uri_ex_c)
    & iext(uri_owl_complementOf,sk199,uri_ex_c)
    & iext(uri_rdf_type,uri_ex_u,sk199) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sk199])],[f559_nnf]) ).

cnf(c1408,plain,
    iext(uri_owl_complementOf,sk199,uri_ex_c),
    inference(cnf_transformation,[status(esa)],[f559_sk]) ).

cnf(p537,plain,
    ( ~ icext(uri_ex_c,X0)
    | ~ icext(sk199,X0) ),
    inference(resolution,[status(thm)],[c368,c1408]) ).

cnf(c1407,plain,
    iext(uri_rdf_type,uri_ex_u,sk199),
    inference(cnf_transformation,[status(esa)],[f559_sk]) ).

fof(f24,axiom,
    ! [X,C] :
      ( iext(uri_rdf_type,X,C)
    <=> icext(C,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).

fof(f24_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)],[f24]) ).

fof(f24_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)],[f24_nnf]) ).

cnf(c25,plain,
    ( icext(X1,X0)
    | ~ iext(uri_rdf_type,X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f24_sk]) ).

cnf(p515,plain,
    icext(sk199,uri_ex_u),
    inference(resolution,[status(thm)],[c1407,c25]) ).

cnf(p542,plain,
    ~ icext(uri_ex_c,uri_ex_u),
    inference(resolution,[status(thm)],[p537,p515]) ).

cnf(p548,plain,
    ~ icext(uri_ex_c,uri_ex_w),
    inference(superposition,[status(thm)],[p545,p542]) ).

cnf(c1409,plain,
    iext(uri_rdf_type,uri_ex_w,uri_ex_c),
    inference(cnf_transformation,[status(esa)],[f559_sk]) ).

cnf(p516,plain,
    icext(uri_ex_c,uri_ex_w),
    inference(resolution,[status(thm)],[c1409,c25]) ).

cnf(p549,plain,
    $false,
    inference(resolution,[status(thm)],[p548,p516]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : SWB057+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06  % Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.16/0.44  % Computer : n008.cluster.edu
% 0.16/0.44  % Model    : x86_64 x86_64
% 0.16/0.44  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.44  % Memory   : 8046.5625MB
% 0.16/0.44  % OS       : Linux 6.8.0-71-generic
% 0.16/0.44  % CPULimit : 300
% 0.16/0.44  % WCLimit  : 300
% 0.16/0.44  % DateTime : Thu Sep 24 15:43:24 UTC 2026
% 0.16/0.44  % CPUTime  : 
% 0.16/0.44  Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 27.53/5.13  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 27.53/5.13  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------