TSTP Solution File: SET558-6 by Drodi---3.5.1

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%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SET558-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n028.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 12:34:40 EDT 2023

% Result   : Unsatisfiable 0.15s 0.32s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   16 (  11 unt;   0 def)
%            Number of atoms       :   21 (  11 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   12 (   7   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   11 (;  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f79,axiom,
    ! [Xf] :
      ( ~ operation(Xf)
      | cross_product(domain_of(domain_of(Xf)),domain_of(domain_of(Xf))) = domain_of(Xf) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f83,axiom,
    ! [Xh,Xf1,Xf2] :
      ( ~ compatible(Xh,Xf1,Xf2)
      | domain_of(domain_of(Xf1)) = domain_of(Xh) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f113,negated_conjecture,
    operation(xf1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f114,negated_conjecture,
    compatible(xh,xf1,xf2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f115,negated_conjecture,
    cross_product(domain_of(xh),domain_of(xh)) != domain_of(xf1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f203,plain,
    ! [X0] :
      ( ~ operation(X0)
      | cross_product(domain_of(domain_of(X0)),domain_of(domain_of(X0))) = domain_of(X0) ),
    inference(cnf_transformation,[status(esa)],[f79]) ).

fof(f208,plain,
    ! [Xh,Xf1] :
      ( ! [Xf2] : ~ compatible(Xh,Xf1,Xf2)
      | domain_of(domain_of(Xf1)) = domain_of(Xh) ),
    inference(miniscoping,[status(esa)],[f83]) ).

fof(f209,plain,
    ! [X0,X1,X2] :
      ( ~ compatible(X0,X1,X2)
      | domain_of(domain_of(X1)) = domain_of(X0) ),
    inference(cnf_transformation,[status(esa)],[f208]) ).

fof(f247,plain,
    operation(xf1),
    inference(cnf_transformation,[status(esa)],[f113]) ).

fof(f248,plain,
    compatible(xh,xf1,xf2),
    inference(cnf_transformation,[status(esa)],[f114]) ).

fof(f249,plain,
    cross_product(domain_of(xh),domain_of(xh)) != domain_of(xf1),
    inference(cnf_transformation,[status(esa)],[f115]) ).

fof(f256,plain,
    domain_of(domain_of(xf1)) = domain_of(xh),
    inference(resolution,[status(thm)],[f209,f248]) ).

fof(f258,plain,
    cross_product(domain_of(domain_of(xf1)),domain_of(domain_of(xf1))) = domain_of(xf1),
    inference(resolution,[status(thm)],[f203,f247]) ).

fof(f259,plain,
    cross_product(domain_of(xh),domain_of(domain_of(xf1))) = domain_of(xf1),
    inference(forward_demodulation,[status(thm)],[f256,f258]) ).

fof(f260,plain,
    cross_product(domain_of(xh),domain_of(xh)) = domain_of(xf1),
    inference(forward_demodulation,[status(thm)],[f256,f259]) ).

fof(f261,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f260,f249]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem  : SET558-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.02/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30  % Computer : n028.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 300
% 0.10/0.30  % DateTime : Tue May 30 10:32:17 EDT 2023
% 0.10/0.30  % CPUTime  : 
% 0.15/0.31  % Drodi V3.5.1
% 0.15/0.32  % Refutation found
% 0.15/0.32  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.32  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.56  % Elapsed time: 0.039296 seconds
% 0.16/0.56  % CPU time: 0.015813 seconds
% 0.16/0.56  % Memory used: 3.843 MB
%------------------------------------------------------------------------------