TSTP Solution File: SWB006+1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWB006+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n014.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 12:38:31 EDT 2023

% Result   : Theorem 0.21s 0.50s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   21 (  14 unt;   0 def)
%            Number of atoms       :   34 (  10 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   22 (   9   ~;   6   |;   6   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :   14 (;  13   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f354,axiom,
    ! [X,Y] :
      ( iext(uri_owl_sameAs,X,Y)
    <=> X = Y ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f559,conjecture,
    iext(uri_owl_sameAs,uri_ex_u,uri_ex_w),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f560,negated_conjecture,
    ~ iext(uri_owl_sameAs,uri_ex_u,uri_ex_w),
    inference(negated_conjecture,[status(cth)],[f559]) ).

fof(f561,axiom,
    ? [BNODE_x] :
      ( iext(uri_owl_sameAs,uri_ex_u,literal_plain(dat_str_abc))
      & iext(uri_owl_sameAs,BNODE_x,literal_plain(dat_str_abc))
      & iext(uri_owl_sameAs,BNODE_x,uri_ex_w) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1832,plain,
    ! [X,Y] :
      ( ( ~ iext(uri_owl_sameAs,X,Y)
        | X = Y )
      & ( iext(uri_owl_sameAs,X,Y)
        | X != Y ) ),
    inference(NNF_transformation,[status(esa)],[f354]) ).

fof(f1833,plain,
    ( ! [X,Y] :
        ( ~ iext(uri_owl_sameAs,X,Y)
        | X = Y )
    & ! [X,Y] :
        ( iext(uri_owl_sameAs,X,Y)
        | X != Y ) ),
    inference(miniscoping,[status(esa)],[f1832]) ).

fof(f1834,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_sameAs,X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[status(esa)],[f1833]) ).

fof(f1835,plain,
    ! [X0,X1] :
      ( iext(uri_owl_sameAs,X0,X1)
      | X0 != X1 ),
    inference(cnf_transformation,[status(esa)],[f1833]) ).

fof(f2405,plain,
    ~ iext(uri_owl_sameAs,uri_ex_u,uri_ex_w),
    inference(cnf_transformation,[status(esa)],[f560]) ).

fof(f2406,plain,
    ( iext(uri_owl_sameAs,uri_ex_u,literal_plain(dat_str_abc))
    & iext(uri_owl_sameAs,sk0_199,literal_plain(dat_str_abc))
    & iext(uri_owl_sameAs,sk0_199,uri_ex_w) ),
    inference(skolemization,[status(esa)],[f561]) ).

fof(f2407,plain,
    iext(uri_owl_sameAs,uri_ex_u,literal_plain(dat_str_abc)),
    inference(cnf_transformation,[status(esa)],[f2406]) ).

fof(f2408,plain,
    iext(uri_owl_sameAs,sk0_199,literal_plain(dat_str_abc)),
    inference(cnf_transformation,[status(esa)],[f2406]) ).

fof(f2409,plain,
    iext(uri_owl_sameAs,sk0_199,uri_ex_w),
    inference(cnf_transformation,[status(esa)],[f2406]) ).

fof(f2505,plain,
    ! [X0] : iext(uri_owl_sameAs,X0,X0),
    inference(destructive_equality_resolution,[status(esa)],[f1835]) ).

fof(f2517,plain,
    sk0_199 = uri_ex_w,
    inference(resolution,[status(thm)],[f2409,f1834]) ).

fof(f2518,plain,
    uri_ex_u = literal_plain(dat_str_abc),
    inference(resolution,[status(thm)],[f2407,f1834]) ).

fof(f2542,plain,
    iext(uri_owl_sameAs,uri_ex_w,literal_plain(dat_str_abc)),
    inference(forward_demodulation,[status(thm)],[f2517,f2408]) ).

fof(f2543,plain,
    iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
    inference(forward_demodulation,[status(thm)],[f2518,f2542]) ).

fof(f2544,plain,
    uri_ex_w = uri_ex_u,
    inference(resolution,[status(thm)],[f2543,f1834]) ).

fof(f2547,plain,
    ~ iext(uri_owl_sameAs,uri_ex_u,uri_ex_u),
    inference(backward_demodulation,[status(thm)],[f2544,f2405]) ).

fof(f2548,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f2547,f2505]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SWB006+1 : TPTP v8.1.2. Released v5.2.0.
% 0.04/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.15/0.34  % Computer : n014.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Tue May 30 10:36:49 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.21/0.39  % Drodi V3.5.1
% 0.21/0.50  % Refutation found
% 0.21/0.50  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.21/0.50  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.52  % Elapsed time: 0.167278 seconds
% 0.21/0.52  % CPU time: 0.896148 seconds
% 0.21/0.52  % Memory used: 89.722 MB
%------------------------------------------------------------------------------