%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN332-1 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n011.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 0.14s 0.40s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   25 (   5 unt;   0 def)
%            Number of atoms       :   53 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   57 (  29   ~;  28   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   5 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   :   41 (  41   !;   0   ?)

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

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

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

fof(f7,negated_conjecture,
    ! [X,Y] :
      ( ~ f(X,z(X,Y))
      | f(Y,z(X,Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8,negated_conjecture,
    ! [Y,X] :
      ( ~ f(Y,X)
      | f(X,Y)
      | ~ f(z(X,Y),z(X,Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f13,negated_conjecture,
    ! [X,Y] :
      ( f(X,Y)
      | f(Y,X)
      | ~ f(z(X,Y),Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f16,plain,
    ! [X0,X1] :
      ( f(X0,X1)
      | f(X1,z(X1,X0)) ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( ~ f(X0,X1)
      | ~ f(X1,X0)
      | ~ f(X0,z(X0,X1)) ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( ~ f(X0,z(X0,X1))
      | f(z(X0,X1),X0) ),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( ~ f(X0,z(X0,X1))
      | f(X1,z(X0,X1)) ),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( ~ f(X0,X1)
      | f(X1,X0)
      | ~ f(z(X1,X0),z(X1,X0)) ),
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( f(X0,X1)
      | f(X1,X0)
      | ~ f(z(X0,X1),X1) ),
    inference(cnf_transformation,[status(esa)],[f13]) ).

fof(f31,plain,
    ! [X0] :
      ( ~ f(X0,z(X0,X0))
      | ~ f(X0,X0)
      | ~ f(X0,X0) ),
    inference(resolution,[status(thm)],[f21,f17]) ).

fof(f32,plain,
    ! [X0] :
      ( ~ f(X0,z(X0,X0))
      | ~ f(X0,X0) ),
    inference(duplicate_literals_removal,[status(esa)],[f31]) ).

fof(f34,plain,
    ! [X0] :
      ( f(X0,X0)
      | f(X0,X0)
      | ~ f(X0,z(X0,X0)) ),
    inference(resolution,[status(thm)],[f27,f19]) ).

fof(f35,plain,
    ! [X0] :
      ( f(X0,X0)
      | ~ f(X0,z(X0,X0)) ),
    inference(duplicate_literals_removal,[status(esa)],[f34]) ).

fof(f36,plain,
    ! [X0] : ~ f(X0,z(X0,X0)),
    inference(forward_subsumption_resolution,[status(thm)],[f35,f32]) ).

fof(f38,plain,
    ! [X0] : f(X0,X0),
    inference(resolution,[status(thm)],[f36,f16]) ).

fof(f40,plain,
    ! [X0,X1] :
      ( ~ f(X0,X1)
      | f(X1,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f22,f38]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( f(X0,X1)
      | ~ f(z(X1,X0),X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[f27,f40]) ).

fof(f43,plain,
    ! [X0] : ~ f(z(X0,X0),X0),
    inference(resolution,[status(thm)],[f40,f36]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( f(X0,X1)
      | ~ f(X0,z(X1,X0)) ),
    inference(resolution,[status(thm)],[f41,f40]) ).

fof(f54,plain,
    ! [X0,X1] :
      ( f(X0,X1)
      | ~ f(X1,z(X1,X0)) ),
    inference(resolution,[status(thm)],[f48,f21]) ).

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

fof(f61,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f43,f55]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.16  % Problem  : SYN332-1 : TPTP v8.1.2. Released v1.2.0.
% 0.08/0.16  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.38  % Computer : n011.cluster.edu
% 0.14/0.38  % Model    : x86_64 x86_64
% 0.14/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.38  % Memory   : 8042.1875MB
% 0.14/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.38  % CPULimit : 300
% 0.14/0.38  % WCLimit  : 300
% 0.14/0.38  % DateTime : Mon Apr 29 22:05:31 EDT 2024
% 0.14/0.38  % CPUTime  : 
% 0.14/0.39  % Drodi V3.6.0
% 0.14/0.40  % Refutation found
% 0.14/0.40  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.40  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.41  % Elapsed time: 0.020755 seconds
% 0.21/0.41  % CPU time: 0.048632 seconds
% 0.21/0.41  % Total memory used: 2.334 MB
% 0.21/0.41  % Net memory used: 2.292 MB
%------------------------------------------------------------------------------