%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : CAT010-4 : 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 20:13:19 EDT 2024

% Result   : Unsatisfiable 0.14s 0.37s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   24 (  15 unt;   0 def)
%            Number of atoms       :   33 (  14 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   20 (  11   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   25 (  25   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,axiom,
    ! [X] :
      ( ~ there_exists(domain(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(f11,axiom,
    ! [X] : compose(codomain(X),X) = X,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f12,hypothesis,
    there_exists(compose(a,b)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f13,negated_conjecture,
    codomain(compose(a,b)) != codomain(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f18,plain,
    ! [X0] :
      ( ~ there_exists(domain(X0))
      | there_exists(X0) ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f20,plain,
    ! [X] :
      ( ! [Y] : ~ there_exists(compose(X,Y))
      | there_exists(domain(X)) ),
    inference(miniscoping,[status(esa)],[f6]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( ~ there_exists(compose(X0,X1))
      | there_exists(domain(X0)) ),
    inference(cnf_transformation,[status(esa)],[f20]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( ~ there_exists(compose(X0,X1))
      | domain(X0) = codomain(X1) ),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f24,plain,
    ! [X0,X1,X2] : compose(X0,compose(X1,X2)) = compose(compose(X0,X1),X2),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f26,plain,
    ! [X0] : compose(codomain(X0),X0) = X0,
    inference(cnf_transformation,[status(esa)],[f11]) ).

fof(f27,plain,
    there_exists(compose(a,b)),
    inference(cnf_transformation,[status(esa)],[f12]) ).

fof(f28,plain,
    codomain(compose(a,b)) != codomain(a),
    inference(cnf_transformation,[status(esa)],[f13]) ).

fof(f31,plain,
    ! [X0] :
      ( ~ there_exists(X0)
      | domain(codomain(X0)) = codomain(X0) ),
    inference(paramodulation,[status(thm)],[f26,f22]) ).

fof(f57,plain,
    ! [X0,X1] : compose(codomain(X0),compose(X0,X1)) = compose(X0,X1),
    inference(paramodulation,[status(thm)],[f26,f24]) ).

fof(f71,plain,
    ! [X0,X1] :
      ( ~ there_exists(compose(X0,X1))
      | domain(codomain(X0)) = codomain(compose(X0,X1)) ),
    inference(paramodulation,[status(thm)],[f57,f22]) ).

fof(f115,plain,
    there_exists(domain(a)),
    inference(resolution,[status(thm)],[f21,f27]) ).

fof(f133,plain,
    there_exists(a),
    inference(resolution,[status(thm)],[f115,f18]) ).

fof(f138,plain,
    domain(codomain(a)) = codomain(a),
    inference(resolution,[status(thm)],[f133,f31]) ).

fof(f678,plain,
    domain(codomain(a)) = codomain(compose(a,b)),
    inference(resolution,[status(thm)],[f71,f27]) ).

fof(f679,plain,
    codomain(a) = codomain(compose(a,b)),
    inference(forward_demodulation,[status(thm)],[f138,f678]) ).

fof(f680,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f679,f28]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : CAT010-4 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13  % 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 22:34:14 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.14/0.36  % Drodi V3.6.0
% 0.14/0.37  % Refutation found
% 0.14/0.37  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.38  % Elapsed time: 0.025544 seconds
% 0.14/0.38  % CPU time: 0.082878 seconds
% 0.14/0.38  % Total memory used: 10.975 MB
% 0.14/0.38  % Net memory used: 10.895 MB
%------------------------------------------------------------------------------