%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : CAT017-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n032.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 0.17s 0.33s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   15 (   8 unt;   0 def)
%            Number of atoms       :   22 (   2 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   17 (  10   ~;   7   |;   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   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    ! [X] :
      ( ~ there_exists(codomain(X))
      | there_exists(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f11,axiom,
    ! [X] : compose(codomain(X),X) = X,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f14,axiom,
    ! [X,Y] :
      ( ~ there_exists(compose(X,Y))
      | there_exists(codomain(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f18,hypothesis,
    there_exists(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f19,negated_conjecture,
    ~ there_exists(codomain(a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f25,plain,
    ! [X0] :
      ( ~ there_exists(codomain(X0))
      | there_exists(X0) ),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f32,plain,
    ! [X0] : compose(codomain(X0),X0) = X0,
    inference(cnf_transformation,[status(esa)],[f11]) ).

fof(f36,plain,
    ! [X] :
      ( ! [Y] : ~ there_exists(compose(X,Y))
      | there_exists(codomain(X)) ),
    inference(miniscoping,[status(esa)],[f14]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( ~ there_exists(compose(X0,X1))
      | there_exists(codomain(X0)) ),
    inference(cnf_transformation,[status(esa)],[f36]) ).

fof(f41,plain,
    there_exists(a),
    inference(cnf_transformation,[status(esa)],[f18]) ).

fof(f42,plain,
    ~ there_exists(codomain(a)),
    inference(cnf_transformation,[status(esa)],[f19]) ).

fof(f46,plain,
    ! [X0] :
      ( ~ there_exists(X0)
      | there_exists(codomain(codomain(X0))) ),
    inference(paramodulation,[status(thm)],[f32,f37]) ).

fof(f48,plain,
    ! [X0] :
      ( ~ there_exists(X0)
      | there_exists(codomain(X0)) ),
    inference(resolution,[status(thm)],[f46,f25]) ).

fof(f49,plain,
    ~ there_exists(a),
    inference(resolution,[status(thm)],[f48,f42]) ).

fof(f50,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f49,f41]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : CAT017-3 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32  % Computer : n032.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Mon Apr 29 22:22:20 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.17/0.33  % Drodi V3.6.0
% 0.17/0.33  % Refutation found
% 0.17/0.33  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.33  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.34  % Elapsed time: 0.017592 seconds
% 0.17/0.34  % CPU time: 0.019185 seconds
% 0.17/0.34  % Total memory used: 7.240 MB
% 0.17/0.34  % Net memory used: 7.178 MB
%------------------------------------------------------------------------------