%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN350-1 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n027.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 12:46:36 EDT 2023

% Result   : Unsatisfiable 0.13s 0.53s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   18 (   3 unt;   0 def)
%            Number of atoms       :   41 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   45 (  22   ~;  23   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-2 aty)
%            Number of variables   :   32 (;  32   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ! [X,Y] :
      ( ~ f(a,z(X,Y))
      | f(z(X,Y),a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ! [X,Y] :
      ( f(a,z(X,Y))
      | ~ f(z(X,Y),a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,negated_conjecture,
    ! [X,Y] :
      ( f(a,z(X,Y))
      | f(Y,z(X,Y))
      | f(X,z(X,Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,negated_conjecture,
    ! [X,Y] :
      ( f(a,z(X,Y))
      | f(Y,z(X,Y))
      | ~ f(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,negated_conjecture,
    ! [X,Y] :
      ( ~ f(a,z(X,Y))
      | ~ f(Y,z(X,Y))
      | ~ f(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7,plain,
    ! [X0,X1] :
      ( ~ f(a,z(X0,X1))
      | f(z(X0,X1),a) ),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f8,plain,
    ! [X0,X1] :
      ( f(a,z(X0,X1))
      | ~ f(z(X0,X1),a) ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f9,plain,
    ! [X0,X1] :
      ( f(a,z(X0,X1))
      | f(X1,z(X0,X1))
      | f(X0,z(X0,X1)) ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f11,plain,
    ! [X0,X1] :
      ( f(a,z(X0,X1))
      | f(X1,z(X0,X1))
      | ~ f(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f12,plain,
    ! [X0,X1] :
      ( ~ f(a,z(X0,X1))
      | ~ f(X1,z(X0,X1))
      | ~ f(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f25,plain,
    f(a,z(a,a)),
    inference(factoring,[status(esa)],[f9]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( ~ f(a,z(X0,X1))
      | f(a,z(z(X0,X1),a))
      | f(a,z(z(X0,X1),a)) ),
    inference(resolution,[status(thm)],[f7,f11]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( ~ f(a,z(X0,X1))
      | f(a,z(z(X0,X1),a)) ),
    inference(duplicate_literals_removal,[status(esa)],[f36]) ).

fof(f72,plain,
    ! [X0,X1] :
      ( ~ f(a,z(X0,X1))
      | ~ f(a,z(z(X0,X1),a))
      | ~ f(z(X0,X1),a) ),
    inference(resolution,[status(thm)],[f37,f12]) ).

fof(f73,plain,
    ! [X0,X1] :
      ( ~ f(a,z(z(X0,X1),a))
      | ~ f(z(X0,X1),a) ),
    inference(forward_subsumption_resolution,[status(thm)],[f72,f8]) ).

fof(f75,plain,
    ! [X0,X1] :
      ( ~ f(a,z(z(X0,X1),a))
      | ~ f(a,z(X0,X1)) ),
    inference(resolution,[status(thm)],[f73,f7]) ).

fof(f76,plain,
    ! [X0,X1] : ~ f(a,z(X0,X1)),
    inference(forward_subsumption_resolution,[status(thm)],[f75,f37]) ).

fof(f77,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f25,f76]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : SYN350-1 : TPTP v8.1.2. Released v1.2.0.
% 0.00/0.09  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29  % Computer : n027.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit : 300
% 0.09/0.29  % WCLimit  : 300
% 0.09/0.29  % DateTime : Tue May 30 10:45:48 EDT 2023
% 0.09/0.29  % CPUTime  : 
% 0.09/0.29  % Drodi V3.5.1
% 0.13/0.53  % Refutation found
% 0.13/0.53  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.53  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.53  % Elapsed time: 0.029176 seconds
% 0.13/0.53  % CPU time: 0.018223 seconds
% 0.13/0.53  % Memory used: 556.228 KB
%------------------------------------------------------------------------------