%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : LCL117-1 : 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 : Wed May 31 12:18:20 EDT 2023

% Result   : Unsatisfiable 0.13s 0.36s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (   8 unt;   0 def)
%            Number of atoms       :   21 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   18 (  10   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   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;   3 con; 0-2 aty)
%            Number of variables   :   28 (;  28   !;   0   ?)

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

fof(f2,axiom,
    ! [X,Y,Z] : is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(Z,Y),equivalent(Z,X)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,negated_conjecture,
    ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(a,c)),equivalent(c,b))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,plain,
    ! [Y] :
      ( ! [X] :
          ( ~ is_a_theorem(equivalent(X,Y))
          | ~ is_a_theorem(X) )
      | is_a_theorem(Y) ),
    inference(miniscoping,[status(esa)],[f1]) ).

fof(f5,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(equivalent(X0,X1))
      | ~ is_a_theorem(X0)
      | is_a_theorem(X1) ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f6,plain,
    ! [X0,X1,X2] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X1),equivalent(X2,X0)))),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f7,plain,
    ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(a,c)),equivalent(c,b))),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f8,plain,
    ! [X0,X1,X2] :
      ( ~ is_a_theorem(equivalent(X0,X1))
      | is_a_theorem(equivalent(equivalent(X2,X1),equivalent(X2,X0))) ),
    inference(resolution,[status(thm)],[f6,f5]) ).

fof(f9,plain,
    ! [X0,X1,X2,X3] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X1,X3))),equivalent(X0,equivalent(X3,X2)))),
    inference(resolution,[status(thm)],[f8,f6]) ).

fof(f11,plain,
    ! [X0,X1,X2,X3] :
      ( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X1,X3))))
      | is_a_theorem(equivalent(X0,equivalent(X3,X2))) ),
    inference(resolution,[status(thm)],[f9,f5]) ).

fof(f16,plain,
    ! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X1))),
    inference(resolution,[status(thm)],[f11,f6]) ).

fof(f17,plain,
    ! [X0,X1,X2] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X2,X1))),
    inference(resolution,[status(thm)],[f16,f11]) ).

fof(f19,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f7,f17]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : LCL117-1 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35  % Computer : n031.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Tue May 30 10:11:37 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Drodi V3.5.1
% 0.13/0.36  % Refutation found
% 0.13/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.25/0.58  % Elapsed time: 0.010830 seconds
% 0.25/0.58  % CPU time: 0.025608 seconds
% 0.25/0.58  % Memory used: 7.057 MB
%------------------------------------------------------------------------------