%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : CAT011-3 : TPTP v8.1.2. Released v1.0.0.
% 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 : Tue Apr 30 20:13:20 EDT 2024

% Result   : Unsatisfiable 0.14s 0.36s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   20 (  14 unt;   0 def)
%            Number of atoms       :   26 (  14 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   14 (   8   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,axiom,
    ! [X] :
      ( ~ there_exists(domain(X))
      | there_exists(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ! [X,Y] :
      ( ~ there_exists(compose(X,Y))
      | domain(X) = codomain(Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10,axiom,
    ! [X] : compose(X,domain(X)) = 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(f18,hypothesis,
    there_exists(domain(a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f19,negated_conjecture,
    domain(domain(a)) != domain(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f24,plain,
    ! [X0] :
      ( ~ there_exists(domain(X0))
      | there_exists(X0) ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( ~ there_exists(compose(X0,X1))
      | domain(X0) = codomain(X1) ),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f31,plain,
    ! [X0] : compose(X0,domain(X0)) = X0,
    inference(cnf_transformation,[status(esa)],[f10]) ).

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

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

fof(f42,plain,
    domain(domain(a)) != domain(a),
    inference(cnf_transformation,[status(esa)],[f19]) ).

fof(f46,plain,
    there_exists(a),
    inference(resolution,[status(thm)],[f24,f41]) ).

fof(f50,plain,
    ! [X0] :
      ( ~ there_exists(X0)
      | domain(codomain(X0)) = codomain(X0) ),
    inference(paramodulation,[status(thm)],[f32,f28]) ).

fof(f51,plain,
    ! [X0] :
      ( ~ there_exists(X0)
      | domain(X0) = codomain(domain(X0)) ),
    inference(paramodulation,[status(thm)],[f31,f28]) ).

fof(f53,plain,
    domain(a) = codomain(domain(a)),
    inference(resolution,[status(thm)],[f51,f46]) ).

fof(f88,plain,
    domain(codomain(domain(a))) = codomain(domain(a)),
    inference(resolution,[status(thm)],[f50,f41]) ).

fof(f89,plain,
    domain(domain(a)) = codomain(domain(a)),
    inference(forward_demodulation,[status(thm)],[f53,f88]) ).

fof(f90,plain,
    domain(domain(a)) = domain(a),
    inference(forward_demodulation,[status(thm)],[f53,f89]) ).

fof(f91,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f90,f42]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : CAT011-3 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35  % Computer : n028.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Mon Apr 29 22:33:29 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.14/0.36  % Drodi V3.6.0
% 0.14/0.36  % Refutation found
% 0.14/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.37  % Elapsed time: 0.020383 seconds
% 0.14/0.37  % CPU time: 0.030962 seconds
% 0.14/0.37  % Total memory used: 12.810 MB
% 0.14/0.37  % Net memory used: 12.724 MB
%------------------------------------------------------------------------------