%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : CAT007-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n020.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 20:13:18 EDT 2024

% Result   : Unsatisfiable 0.21s 0.39s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   18 (  13 unt;   0 def)
%            Number of atoms       :   30 (   2 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   26 (  14   ~;  12   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-1 aty)
%            Number of variables   :   19 (  19   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f9,axiom,
    ! [X,Y,Z] :
      ( ~ defined(X,Y)
      | ~ defined(Y,Z)
      | ~ identity_map(Y)
      | defined(X,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

fof(f12,axiom,
    ! [X] : defined(X,domain(X)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f13,axiom,
    ! [X] : defined(codomain(X),X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f19,hypothesis,
    domain(a) = codomain(b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f20,negated_conjecture,
    ~ defined(a,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f36,plain,
    ! [X,Z] :
      ( ! [Y] :
          ( ~ defined(X,Y)
          | ~ defined(Y,Z)
          | ~ identity_map(Y) )
      | defined(X,Z) ),
    inference(miniscoping,[status(esa)],[f9]) ).

fof(f37,plain,
    ! [X0,X1,X2] :
      ( ~ defined(X0,X1)
      | ~ defined(X1,X2)
      | ~ identity_map(X1)
      | defined(X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f36]) ).

fof(f38,plain,
    ! [X0] : identity_map(domain(X0)),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f40,plain,
    ! [X0] : defined(X0,domain(X0)),
    inference(cnf_transformation,[status(esa)],[f12]) ).

fof(f41,plain,
    ! [X0] : defined(codomain(X0),X0),
    inference(cnf_transformation,[status(esa)],[f13]) ).

fof(f48,plain,
    domain(a) = codomain(b),
    inference(cnf_transformation,[status(esa)],[f19]) ).

fof(f49,plain,
    ~ defined(a,b),
    inference(cnf_transformation,[status(esa)],[f20]) ).

fof(f51,plain,
    defined(domain(a),b),
    inference(paramodulation,[status(thm)],[f48,f41]) ).

fof(f568,plain,
    ! [X0,X1] :
      ( ~ defined(domain(X0),X1)
      | ~ identity_map(domain(X0))
      | defined(X0,X1) ),
    inference(resolution,[status(thm)],[f37,f40]) ).

fof(f569,plain,
    ! [X0,X1] :
      ( ~ defined(domain(X0),X1)
      | defined(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f568,f38]) ).

fof(f754,plain,
    defined(a,b),
    inference(resolution,[status(thm)],[f569,f51]) ).

fof(f755,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f754,f49]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : CAT007-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35  % Computer : n020.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 22:19:32 EDT 2024
% 0.14/0.36  % CPUTime  : 
% 0.21/0.36  % Drodi V3.6.0
% 0.21/0.39  % Refutation found
% 0.21/0.39  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.39  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.39  % Elapsed time: 0.028452 seconds
% 0.21/0.39  % CPU time: 0.103954 seconds
% 0.21/0.39  % Total memory used: 14.045 MB
% 0.21/0.39  % Net memory used: 13.868 MB
%------------------------------------------------------------------------------