%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN352-1 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n021.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 12:46:37 EDT 2023

% Result   : Unsatisfiable 0.13s 0.39s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   14 (   3 unt;   0 def)
%            Number of atoms       :   31 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   31 (  14   ~;  17   |;   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    :    1 (   1 usr;   0 con; 2-2 aty)
%            Number of variables   :   26 (;  26   !;   0   ?)

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

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

fof(f7,negated_conjecture,
    ! [X,Y] :
      ( ~ f(X,Y)
      | f(X,z(X,Y))
      | f(Y,z(X,Y)) ),
    file('/export/starexec/sandbox2/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(f13,plain,
    ! [X0,X1] :
      ( ~ f(X0,X1)
      | ~ f(X0,z(X0,X1))
      | ~ f(X1,z(X0,X1)) ),
    inference(cnf_transformation,[status(esa)],[f6]) ).

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

fof(f15,plain,
    ! [X0,X1] :
      ( f(z(X0,X1),z(z(X0,X1),z(X0,X1)))
      | f(z(X0,X1),z(z(X0,X1),z(X0,X1)))
      | f(X0,X1) ),
    inference(resolution,[status(thm)],[f14,f10]) ).

fof(f16,plain,
    ! [X0,X1] :
      ( f(z(X0,X1),z(z(X0,X1),z(X0,X1)))
      | f(X0,X1) ),
    inference(duplicate_literals_removal,[status(esa)],[f15]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( ~ f(z(X0,X1),z(X0,X1))
      | ~ f(z(X0,X1),z(z(X0,X1),z(X0,X1)))
      | f(X0,X1) ),
    inference(resolution,[status(thm)],[f13,f16]) ).

fof(f54,plain,
    ! [X0,X1] :
      ( ~ f(z(X0,X1),z(z(X0,X1),z(X0,X1)))
      | f(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f53,f10]) ).

fof(f55,plain,
    ! [X0,X1] : f(X0,X1),
    inference(backward_subsumption_resolution,[status(thm)],[f16,f54]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( ~ f(X0,z(X0,X1))
      | ~ f(X1,z(X0,X1)) ),
    inference(backward_subsumption_resolution,[status(thm)],[f13,f55]) ).

fof(f57,plain,
    ! [X0,X1] : ~ f(X0,z(X1,X0)),
    inference(forward_subsumption_resolution,[status(thm)],[f56,f55]) ).

fof(f58,plain,
    $false,
    inference(resolution,[status(thm)],[f57,f55]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SYN352-1 : TPTP v8.1.2. Released v1.2.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35  % Computer : n021.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 10:25:22 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.36  % Drodi V3.5.1
% 0.13/0.39  % Refutation found
% 0.13/0.39  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.22/0.62  % Elapsed time: 0.052035 seconds
% 0.22/0.62  % CPU time: 0.042365 seconds
% 0.22/0.62  % Memory used: 1.199 MB
%------------------------------------------------------------------------------