↑ Up

Drodi---4.1.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SWB007+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n014.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 02:37:02 PM UTC 2026

% Result   : Theorem 0.18s 0.47s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   20 (  10 unt;   0 def)
%            Number of atoms       :   40 (   7 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   35 (  15   ~;  10   |;   9   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   9 con; 0-0 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X,Y] :
      ( iext(uri_owl_sameAs,X,Y)
    <=> X = Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,conjecture,
    ( iext(uri_rdfs_range,uri_ex_p,uri_ex_c2)
    & iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
    & iext(uri_rdf_type,uri_ex_w,uri_ex_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,negated_conjecture,
    ~ ( iext(uri_rdfs_range,uri_ex_p,uri_ex_c2)
      & iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
      & iext(uri_rdf_type,uri_ex_w,uri_ex_c2) ),
    inference(negated_conjecture,[status(cth)],[f2]) ).

fof(f4,axiom,
    ( iext(uri_rdfs_range,uri_ex_p,uri_ex_c1)
    & iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c1)
    & iext(uri_rdf_type,uri_ex_w,uri_ex_c1)
    & iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,plain,
    ! [X,Y] :
      ( ( X != Y
        | iext(uri_owl_sameAs,X,Y) )
      & ( X = Y
        | ~ iext(uri_owl_sameAs,X,Y) ) ),
    inference(NNF_transformation,[status(thm)],[f1]) ).

fof(f6,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)],[f5]) ).

fof(f7,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ iext(uri_owl_sameAs,X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f6]) ).

fof(f9,plain,
    ( ~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c2)
    | ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
    | ~ iext(uri_rdf_type,uri_ex_w,uri_ex_c2) ),
    inference(pre_NNF_transformation,[status(thm)],[f3]) ).

fof(f10,plain,
    ( ~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c2)
    | ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
    | ~ iext(uri_rdf_type,uri_ex_w,uri_ex_c2) ),
    inference(cnf_transformation,[status(thm)],[f9]) ).

fof(f11,plain,
    iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f12,plain,
    iext(uri_rdf_type,uri_ex_w,uri_ex_c1),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f13,plain,
    iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c1),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f14,plain,
    iext(uri_rdfs_range,uri_ex_p,uri_ex_c1),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f17,plain,
    uri_ex_c1 = uri_ex_c2,
    inference(resolution,[status(thm)],[f11,f7]) ).

fof(f19,plain,
    iext(uri_rdfs_range,uri_ex_p,uri_ex_c2),
    inference(backward_demodulation,[status(thm)],[f17,f14]) ).

fof(f20,plain,
    iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2),
    inference(backward_demodulation,[status(thm)],[f17,f13]) ).

fof(f21,plain,
    iext(uri_rdf_type,uri_ex_w,uri_ex_c2),
    inference(backward_demodulation,[status(thm)],[f17,f12]) ).

fof(f22,plain,
    ( ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
    | ~ iext(uri_rdf_type,uri_ex_w,uri_ex_c2) ),
    inference(backward_subsumption_resolution,[status(thm)],[f10,f19]) ).

fof(f24,plain,
    ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2),
    inference(forward_subsumption_resolution,[status(thm)],[f22,f21]) ).

fof(f25,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f20,f24]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : SWB007+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44  % Computer : n014.cluster.edu
% 0.18/0.44  % Model    : x86_64 x86_64
% 0.18/0.44  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44  % Memory   : 8046.5625MB
% 0.18/0.44  % OS       : Linux 6.8.0-71-generic
% 0.18/0.44  % CPULimit : 300
% 0.18/0.44  % WCLimit  : 300
% 0.18/0.44  % DateTime : Mon Sep 21 07:37:20 UTC 2026
% 0.18/0.44  % CPUTime  : 
% 0.18/0.45  % Drodi V4.1.1
% 0.18/0.47  % Refutation found
% 0.18/0.47  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.47  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.25/0.54  % Elapsed time: 0.091517 seconds
% 0.25/0.54  % CPU time: 0.095810 seconds
% 0.25/0.54  % Total memory used: 1.375 MB
% 0.25/0.54  % Net memory used: 1.370 MB
%------------------------------------------------------------------------------