↑ Up

Drodi---4.1.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SWB018+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n010.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 : Thu Sep 24 02:37:07 PM UTC 2026

% Result   : Theorem 0.23s 5.58s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   22 (   7 unt;   0 def)
%            Number of atoms       :   50 (   6 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   51 (  23   ~;  19   |;   6   &)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   44 (  44   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f25,axiom,
    ! [X,C] :
      ( iext(uri_rdf_type,X,C)
    <=> icext(C,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f52,axiom,
    ! [P,C,X,Y] :
      ( ( iext(P,X,Y)
        & iext(uri_rdfs_domain,P,C) )
     => icext(C,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f354,axiom,
    ! [X,Y] :
      ( iext(uri_owl_sameAs,X,Y)
    <=> X = Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f559,conjecture,
    iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

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

fof(f561,axiom,
    ( iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)
    & iext(uri_rdfs_domain,uri_owl_sameAs,uri_ex_Person) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f592,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)],[f25]) ).

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

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

fof(f625,plain,
    ! [P,C,X,Y] :
      ( icext(C,X)
      | ~ iext(P,X,Y)
      | ~ iext(uri_rdfs_domain,P,C) ),
    inference(pre_NNF_transformation,[status(thm)],[f52]) ).

fof(f626,plain,
    ! [C,X] :
      ( icext(C,X)
      | ! [P] :
          ( ! [Y] : ~ iext(P,X,Y)
          | ~ iext(uri_rdfs_domain,P,C) ) ),
    inference(miniscoping,[status(thm)],[f625]) ).

fof(f627,plain,
    ! [X0,X1,X2,X3] :
      ( icext(X1,X2)
      | ~ iext(X0,X2,X3)
      | ~ iext(uri_rdfs_domain,X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f626]) ).

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

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

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

fof(f2405,plain,
    ~ iext(uri_rdf_type,uri_ex_u,uri_ex_Person),
    inference(cnf_transformation,[status(thm)],[f560]) ).

fof(f2406,plain,
    iext(uri_rdfs_domain,uri_owl_sameAs,uri_ex_Person),
    inference(cnf_transformation,[status(thm)],[f561]) ).

fof(f2519,plain,
    ! [X0] : iext(uri_owl_sameAs,X0,X0),
    inference(destructive_equality_resolution,[status(thm)],[f1835]) ).

fof(f2577,plain,
    ! [X0,X1,X2,X3] :
      ( iext(uri_rdf_type,X2,X1)
      | ~ iext(X0,X2,X3)
      | ~ iext(uri_rdfs_domain,X0,X1) ),
    inference(resolution,[status(thm)],[f627,f595]) ).

fof(f2582,plain,
    ! [X0,X1] :
      ( ~ iext(X0,uri_ex_u,X1)
      | ~ iext(uri_rdfs_domain,X0,uri_ex_Person) ),
    inference(resolution,[status(thm)],[f2577,f2405]) ).

fof(f2584,plain,
    ! [X0] : ~ iext(uri_owl_sameAs,uri_ex_u,X0),
    inference(resolution,[status(thm)],[f2582,f2406]) ).

fof(f2585,plain,
    $false,
    inference(resolution,[status(thm)],[f2584,f2519]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : SWB018+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/5.45  % Computer : n010.cluster.edu
% 0.18/5.45  % Model    : x86_64 x86_64
% 0.18/5.45  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/5.45  % Memory   : 8046.5625MB
% 0.18/5.45  % OS       : Linux 6.8.0-71-generic
% 0.18/5.45  % CPULimit : 300
% 0.18/5.45  % WCLimit  : 300
% 0.18/5.45  % DateTime : Mon Sep 21 07:40:03 UTC 2026
% 0.18/5.46  % CPUTime  : 
% 0.23/5.53  % Drodi V4.1.1
% 0.23/5.58  % Refutation found
% 0.23/5.58  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.23/5.58  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.23/5.63  % Elapsed time: 0.158096 seconds
% 0.23/5.63  % CPU time: 0.278560 seconds
% 0.23/5.63  % Total memory used: 51.575 MB
% 0.23/5.63  % Net memory used: 51.416 MB
%------------------------------------------------------------------------------