%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN331-1 : TPTP v8.1.2. Released v1.2.0.
% 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 : Tue Apr 30 20:51:54 EDT 2024

% Result   : Unsatisfiable 0.13s 0.29s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   13 (   5 unt;   0 def)
%            Number of atoms       :   21 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   14 (   6   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 2-2 aty)
%            Number of variables   :   24 (  24   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,negated_conjecture,
    ! [X,Y] :
      ( f(X,Y)
      | ~ f(z(X,Y),z(X,Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,negated_conjecture,
    ! [X,Y] :
      ( ~ f(X,Y)
      | f(z(X,Y),z(X,Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,negated_conjecture,
    ! [Y,X] :
      ( f(Y,X)
      | f(z(X,Y),z(X,Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,negated_conjecture,
    ! [X,Y] : ~ f(z(X,Y),Y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10,plain,
    ! [X0,X1] :
      ( f(X0,X1)
      | ~ f(z(X0,X1),z(X0,X1)) ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f11,plain,
    ! [X0,X1] :
      ( ~ f(X0,X1)
      | f(z(X0,X1),z(X0,X1)) ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f12,plain,
    ! [X0,X1] :
      ( f(X0,X1)
      | f(z(X1,X0),z(X1,X0)) ),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f14,plain,
    ! [X0,X1] : ~ f(z(X0,X1),X1),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f15,plain,
    ! [X0,X1] :
      ( f(X0,X1)
      | f(X1,X0) ),
    inference(resolution,[status(thm)],[f12,f10]) ).

fof(f16,plain,
    ! [X0,X1] :
      ( f(z(X0,X1),z(X0,X1))
      | f(X0,X1) ),
    inference(resolution,[status(thm)],[f15,f10]) ).

fof(f17,plain,
    ! [X0,X1] : f(z(X0,X1),z(X0,X1)),
    inference(forward_subsumption_resolution,[status(thm)],[f16,f11]) ).

fof(f20,plain,
    ! [X0,X1] : f(X0,X1),
    inference(backward_subsumption_resolution,[status(thm)],[f10,f17]) ).

fof(f21,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f14,f20]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem  : SYN331-1 : TPTP v8.1.2. Released v1.2.0.
% 0.00/0.08  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.27  % Computer : n025.cluster.edu
% 0.07/0.27  % Model    : x86_64 x86_64
% 0.07/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27  % Memory   : 8042.1875MB
% 0.07/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27  % CPULimit : 300
% 0.07/0.27  % WCLimit  : 300
% 0.07/0.28  % DateTime : Mon Apr 29 22:15:10 EDT 2024
% 0.07/0.28  % CPUTime  : 
% 0.13/0.28  % Drodi V3.6.0
% 0.13/0.29  % Refutation found
% 0.13/0.29  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.29  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.30  % Elapsed time: 0.016506 seconds
% 0.13/0.30  % CPU time: 0.030289 seconds
% 0.13/0.30  % Total memory used: 1.885 MB
% 0.13/0.30  % Net memory used: 1.758 MB
%------------------------------------------------------------------------------