TSTP Solution File: SET563-6 by Drodi---3.6.0

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%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SET563-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n024.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 : Tue Apr 30 20:39:50 EDT 2024

% Result   : Unsatisfiable 0.11s 0.35s
% Output   : CNFRefutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   16 (  10 unt;   0 def)
%            Number of atoms       :   22 (   4 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   14 (   8   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-1 aty)
%            Number of variables   :   18 (  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
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(f84,axiom,
    ! [Xh,Xf1,Xf2] :
      ( ~ compatible(Xh,Xf1,Xf2)
      | subclass(range_of(Xh),domain_of(domain_of(Xf2))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f113,negated_conjecture,
    compatible(xh1,xf1,xf2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f114,negated_conjecture,
    compatible(xh2,xf2,xf3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f115,negated_conjecture,
    ~ subclass(range_of(xh1),domain_of(xh2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

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(f210,plain,
    ! [Xh,Xf2] :
      ( ! [Xf1] : ~ compatible(Xh,Xf1,Xf2)
      | subclass(range_of(Xh),domain_of(domain_of(Xf2))) ),
    inference(miniscoping,[status(esa)],[f84]) ).

fof(f211,plain,
    ! [X0,X1,X2] :
      ( ~ compatible(X0,X1,X2)
      | subclass(range_of(X0),domain_of(domain_of(X2))) ),
    inference(cnf_transformation,[status(esa)],[f210]) ).

fof(f247,plain,
    compatible(xh1,xf1,xf2),
    inference(cnf_transformation,[status(esa)],[f113]) ).

fof(f248,plain,
    compatible(xh2,xf2,xf3),
    inference(cnf_transformation,[status(esa)],[f114]) ).

fof(f249,plain,
    ~ subclass(range_of(xh1),domain_of(xh2)),
    inference(cnf_transformation,[status(esa)],[f115]) ).

fof(f257,plain,
    domain_of(domain_of(xf2)) = domain_of(xh2),
    inference(resolution,[status(thm)],[f209,f248]) ).

fof(f282,plain,
    subclass(range_of(xh1),domain_of(domain_of(xf2))),
    inference(resolution,[status(thm)],[f211,f247]) ).

fof(f283,plain,
    subclass(range_of(xh1),domain_of(xh2)),
    inference(forward_demodulation,[status(thm)],[f257,f282]) ).

fof(f284,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f283,f249]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SET563-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33  % Computer : n024.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Mon Apr 29 21:47:51 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.11/0.35  % Drodi V3.6.0
% 0.11/0.35  % Refutation found
% 0.11/0.35  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.35  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.36  % Elapsed time: 0.021388 seconds
% 0.11/0.36  % CPU time: 0.028673 seconds
% 0.11/0.36  % Total memory used: 13.582 MB
% 0.11/0.36  % Net memory used: 13.577 MB
%------------------------------------------------------------------------------