%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : LCL041-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n025.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 : Wed May 31 12:18:05 EDT 2023

% Result   : Unsatisfiable 0.16s 0.57s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   17 (  12 unt;   0 def)
%            Number of atoms       :   25 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   19 (  11   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   29 (;  29   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X,Y] :
      ( ~ is_a_theorem(implies(X,Y))
      | ~ is_a_theorem(X)
      | is_a_theorem(Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [X,Y] : is_a_theorem(implies(X,implies(not(X),Y))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [X,Y,Z] : is_a_theorem(implies(implies(X,implies(Y,Z)),implies(Y,implies(X,Z)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ! [X,Y] : is_a_theorem(implies(implies(X,Y),implies(implies(not(X),Y),Y))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7,negated_conjecture,
    ~ is_a_theorem(implies(implies(a,implies(a,b)),implies(a,b))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8,plain,
    ! [Y] :
      ( ! [X] :
          ( ~ is_a_theorem(implies(X,Y))
          | ~ is_a_theorem(X) )
      | is_a_theorem(Y) ),
    inference(miniscoping,[status(esa)],[f1]) ).

fof(f9,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,X1))
      | ~ is_a_theorem(X0)
      | is_a_theorem(X1) ),
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f10,plain,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f12,plain,
    ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f14,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X1),X1))),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f15,plain,
    ~ is_a_theorem(implies(implies(a,implies(a,b)),implies(a,b))),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f27,plain,
    ! [X0,X1,X2] :
      ( ~ is_a_theorem(implies(X0,implies(X1,X2)))
      | is_a_theorem(implies(X1,implies(X0,X2))) ),
    inference(resolution,[status(thm)],[f12,f9]) ).

fof(f109,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(implies(X0,X1),X1))),
    inference(resolution,[status(thm)],[f27,f14]) ).

fof(f111,plain,
    ! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
    inference(resolution,[status(thm)],[f27,f10]) ).

fof(f148,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(not(X0),X1))
      | is_a_theorem(implies(implies(X0,X1),X1)) ),
    inference(resolution,[status(thm)],[f109,f9]) ).

fof(f149,plain,
    ~ is_a_theorem(implies(not(a),implies(a,b))),
    inference(resolution,[status(thm)],[f148,f15]) ).

fof(f150,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f149,f111]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10  % Problem  : LCL041-1 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.16/0.31  % Computer : n025.cluster.edu
% 0.16/0.31  % Model    : x86_64 x86_64
% 0.16/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.31  % Memory   : 8042.1875MB
% 0.16/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.31  % CPULimit : 300
% 0.16/0.31  % WCLimit  : 300
% 0.16/0.31  % DateTime : Tue May 30 09:51:27 EDT 2023
% 0.16/0.32  % CPUTime  : 
% 0.16/0.32  % Drodi V3.5.1
% 0.16/0.57  % Refutation found
% 0.16/0.57  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.57  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.57  % Elapsed time: 0.037264 seconds
% 0.16/0.57  % CPU time: 0.018727 seconds
% 0.16/0.57  % Memory used: 1.894 MB
%------------------------------------------------------------------------------