%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : CAT016-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n031.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 20:13:22 EDT 2024

% Result   : Unsatisfiable 0.13s 0.34s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   12 (   8 unt;   0 def)
%            Number of atoms       :   16 (   2 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   10 (   6   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f6,axiom,
    ! [X,Y] :
      ( ~ there_exists(compose(X,Y))
      | there_exists(domain(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10,axiom,
    ! [X] : compose(X,domain(X)) = X,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f12,hypothesis,
    there_exists(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f13,negated_conjecture,
    ~ there_exists(domain(a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f20,plain,
    ! [X] :
      ( ! [Y] : ~ there_exists(compose(X,Y))
      | there_exists(domain(X)) ),
    inference(miniscoping,[status(esa)],[f6]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( ~ there_exists(compose(X0,X1))
      | there_exists(domain(X0)) ),
    inference(cnf_transformation,[status(esa)],[f20]) ).

fof(f25,plain,
    ! [X0] : compose(X0,domain(X0)) = X0,
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f27,plain,
    there_exists(a),
    inference(cnf_transformation,[status(esa)],[f12]) ).

fof(f28,plain,
    ~ there_exists(domain(a)),
    inference(cnf_transformation,[status(esa)],[f13]) ).

fof(f30,plain,
    ! [X0] :
      ( ~ there_exists(X0)
      | there_exists(domain(X0)) ),
    inference(paramodulation,[status(thm)],[f25,f21]) ).

fof(f31,plain,
    there_exists(domain(a)),
    inference(resolution,[status(thm)],[f30,f27]) ).

fof(f32,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f31,f28]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11  % Problem  : CAT016-4 : TPTP v8.1.2. Released v1.0.0.
% 0.04/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33  % Computer : n031.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Mon Apr 29 22:52:28 EDT 2024
% 0.13/0.33  % CPUTime  : 
% 0.13/0.34  % Drodi V3.6.0
% 0.13/0.34  % Refutation found
% 0.13/0.34  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.34  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.35  % Elapsed time: 0.015675 seconds
% 0.20/0.35  % CPU time: 0.014840 seconds
% 0.20/0.35  % Total memory used: 3.507 MB
% 0.20/0.35  % Net memory used: 3.439 MB
%------------------------------------------------------------------------------