%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : LCL076-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n031.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 20:26:17 EDT 2024

% Result   : Unsatisfiable 0.13s 0.35s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   12 (   8 unt;   0 def)
%            Number of atoms       :   19 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   16 (   9   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :   15 (  15   !;   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(f4,axiom,
    ! [X,Y] : is_a_theorem(implies(implies(not(X),not(Y)),implies(Y,X))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ! [X1] : is_a_theorem(implies(not(not(X1)),X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,negated_conjecture,
    ~ is_a_theorem(implies(a,not(not(a)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7,plain,
    ! [Y] :
      ( ! [X] :
          ( ~ is_a_theorem(implies(X,Y))
          | ~ is_a_theorem(X) )
      | is_a_theorem(Y) ),
    inference(miniscoping,[status(esa)],[f1]) ).

fof(f8,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,X1))
      | ~ is_a_theorem(X0)
      | is_a_theorem(X1) ),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f11,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f12,plain,
    ! [X0] : is_a_theorem(implies(not(not(X0)),X0)),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f13,plain,
    ~ is_a_theorem(implies(a,not(not(a)))),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(not(X0),not(X1)))
      | is_a_theorem(implies(X1,X0)) ),
    inference(resolution,[status(thm)],[f11,f8]) ).

fof(f26,plain,
    ! [X0] : is_a_theorem(implies(X0,not(not(X0)))),
    inference(resolution,[status(thm)],[f25,f12]) ).

fof(f28,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f13,f26]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : LCL076-2 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n031.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 23:54:13 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.6.0
% 0.13/0.35  % Refutation found
% 0.13/0.35  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.35  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.37  % Elapsed time: 0.019944 seconds
% 0.13/0.37  % CPU time: 0.027057 seconds
% 0.13/0.37  % Total memory used: 6.441 MB
% 0.13/0.37  % Net memory used: 6.379 MB
%------------------------------------------------------------------------------