%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : CAT009-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n007.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 20:13:19 EDT 2024

% Result   : Unsatisfiable 0.19s 0.49s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   34 (  15 unt;   0 def)
%            Number of atoms       :   53 (  15 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   39 (  20   ~;  17   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   26 (  26   !;   0   ?)

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

fof(f6,axiom,
    ! [X,Y] :
      ( ~ there_exists(compose(X,Y))
      | there_exists(domain(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(f9,axiom,
    ! [X,Y,Z] : compose(X,compose(Y,Z)) = compose(compose(X,Y),Z),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

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

fof(f19,negated_conjecture,
    domain(compose(a,b)) != domain(b),
    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(f26,plain,
    ! [X] :
      ( ! [Y] : ~ there_exists(compose(X,Y))
      | there_exists(domain(X)) ),
    inference(miniscoping,[status(esa)],[f6]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( ~ there_exists(compose(X0,X1))
      | there_exists(domain(X0)) ),
    inference(cnf_transformation,[status(esa)],[f26]) ).

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

fof(f30,plain,
    ! [X0,X1,X2] : compose(X0,compose(X1,X2)) = compose(compose(X0,X1),X2),
    inference(cnf_transformation,[status(esa)],[f9]) ).

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

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

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

fof(f153,plain,
    there_exists(domain(a)),
    inference(resolution,[status(thm)],[f41,f27]) ).

fof(f316,plain,
    domain(a) = codomain(b),
    inference(resolution,[status(thm)],[f28,f41]) ).

fof(f317,plain,
    ! [X0,X1,X2] :
      ( ~ there_exists(compose(X0,compose(X1,X2)))
      | domain(compose(X0,X1)) = codomain(X2) ),
    inference(paramodulation,[status(thm)],[f30,f28]) ).

fof(f322,plain,
    ! [X0] :
      ( ~ there_exists(X0)
      | domain(X0) = codomain(domain(X0)) ),
    inference(paramodulation,[status(thm)],[f31,f28]) ).

fof(f358,plain,
    ! [X0,X1] :
      ( ~ there_exists(compose(X0,X1))
      | domain(compose(X0,X1)) = codomain(domain(X1)) ),
    inference(paramodulation,[status(thm)],[f31,f317]) ).

fof(f359,plain,
    domain(compose(a,b)) = codomain(domain(b)),
    inference(resolution,[status(thm)],[f358,f41]) ).

fof(f372,plain,
    codomain(domain(b)) != domain(b),
    inference(backward_demodulation,[status(thm)],[f359,f42]) ).

fof(f482,plain,
    ( spl0_0
  <=> there_exists(domain(a)) ),
    introduced(split_symbol_definition) ).

fof(f484,plain,
    ( ~ there_exists(domain(a))
    | spl0_0 ),
    inference(component_clause,[status(thm)],[f482]) ).

fof(f485,plain,
    ( spl0_1
  <=> there_exists(b) ),
    introduced(split_symbol_definition) ).

fof(f486,plain,
    ( there_exists(b)
    | ~ spl0_1 ),
    inference(component_clause,[status(thm)],[f485]) ).

fof(f488,plain,
    ( ~ there_exists(domain(a))
    | there_exists(b) ),
    inference(paramodulation,[status(thm)],[f316,f25]) ).

fof(f489,plain,
    ( ~ spl0_0
    | spl0_1 ),
    inference(split_clause,[status(thm)],[f488,f482,f485]) ).

fof(f490,plain,
    ( $false
    | spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f484,f153]) ).

fof(f491,plain,
    spl0_0,
    inference(contradiction_clause,[status(thm)],[f490]) ).

fof(f776,plain,
    ( domain(b) = codomain(domain(b))
    | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f322,f486]) ).

fof(f777,plain,
    ( $false
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f776,f372]) ).

fof(f778,plain,
    ~ spl0_1,
    inference(contradiction_clause,[status(thm)],[f777]) ).

fof(f779,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f489,f491,f778]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12  % Problem  : CAT009-3 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n007.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Apr 29 22:06:47 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.6.0
% 0.19/0.49  % Refutation found
% 0.19/0.49  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.49  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.51  % Elapsed time: 0.162055 seconds
% 0.19/0.51  % CPU time: 1.186232 seconds
% 0.19/0.51  % Total memory used: 81.848 MB
% 0.19/0.51  % Net memory used: 80.923 MB
%------------------------------------------------------------------------------