%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : CAT007-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n006.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 0.09s 0.31s
% Output   : CNFRefutation 0.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   19 (   9 unt;   0 def)
%            Number of atoms       :   31 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   24 (  12   ~;  10   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :    4 (   4   !;   0   ?)

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

fof(f9,hypothesis,
    there_exists(domain(c2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f11,hypothesis,
    equalish(domain(c2),codomain(c1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f12,negated_conjecture,
    ~ there_exists(compose(c2,c1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f18,plain,
    ! [X0,X1] :
      ( ~ there_exists(domain(X0))
      | ~ equalish(domain(X0),codomain(X1))
      | there_exists(compose(X0,X1)) ),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f22,plain,
    there_exists(domain(c2)),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f24,plain,
    equalish(domain(c2),codomain(c1)),
    inference(cnf_transformation,[status(esa)],[f11]) ).

fof(f25,plain,
    ~ there_exists(compose(c2,c1)),
    inference(cnf_transformation,[status(esa)],[f12]) ).

fof(f29,plain,
    ( spl0_0
  <=> there_exists(domain(c2)) ),
    introduced(split_symbol_definition) ).

fof(f31,plain,
    ( ~ there_exists(domain(c2))
    | spl0_0 ),
    inference(component_clause,[status(thm)],[f29]) ).

fof(f32,plain,
    ( spl0_1
  <=> there_exists(compose(c2,c1)) ),
    introduced(split_symbol_definition) ).

fof(f33,plain,
    ( there_exists(compose(c2,c1))
    | ~ spl0_1 ),
    inference(component_clause,[status(thm)],[f32]) ).

fof(f35,plain,
    ( ~ there_exists(domain(c2))
    | there_exists(compose(c2,c1)) ),
    inference(resolution,[status(thm)],[f24,f18]) ).

fof(f36,plain,
    ( ~ spl0_0
    | spl0_1 ),
    inference(split_clause,[status(thm)],[f35,f29,f32]) ).

fof(f39,plain,
    ( $false
    | spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f31,f22]) ).

fof(f40,plain,
    spl0_0,
    inference(contradiction_clause,[status(thm)],[f39]) ).

fof(f41,plain,
    ( $false
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f33,f25]) ).

fof(f42,plain,
    ~ spl0_1,
    inference(contradiction_clause,[status(thm)],[f41]) ).

fof(f43,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f36,f40,f42]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem  : CAT007-3 : TPTP v8.1.2. Released v1.0.0.
% 0.02/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30  % Computer : n006.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit : 300
% 0.09/0.30  % WCLimit  : 300
% 0.09/0.30  % DateTime : Mon Apr 29 22:08:35 EDT 2024
% 0.09/0.30  % CPUTime  : 
% 0.09/0.30  % Drodi V3.6.0
% 0.09/0.31  % Refutation found
% 0.09/0.31  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.31  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.31  % Elapsed time: 0.012245 seconds
% 0.14/0.31  % CPU time: 0.023158 seconds
% 0.14/0.31  % Total memory used: 1.937 MB
% 0.14/0.31  % Net memory used: 1.884 MB
%------------------------------------------------------------------------------