%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN327-1 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n022.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 20:51:53 EDT 2024

% Result   : Unsatisfiable 0.13s 0.36s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   15 (   3 unt;   0 def)
%            Number of atoms       :   30 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   31 (  16   ~;  14   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   2 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :    7 (   7   !;   0   ?)

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

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

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

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

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

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

fof(f13,plain,
    ! [X0] :
      ( f(z(X0),a)
      | ~ f(a,X0) ),
    inference(resolution,[status(thm)],[f7,f11]) ).

fof(f16,plain,
    ( spl0_0
  <=> f(a,a) ),
    introduced(split_symbol_definition) ).

fof(f18,plain,
    ( ~ f(a,a)
    | spl0_0 ),
    inference(component_clause,[status(thm)],[f16]) ).

fof(f24,plain,
    ( ~ f(a,a)
    | ~ f(a,a)
    | ~ f(a,a) ),
    inference(resolution,[status(thm)],[f13,f12]) ).

fof(f25,plain,
    ~ spl0_0,
    inference(split_clause,[status(thm)],[f24,f16]) ).

fof(f26,plain,
    ( f(a,a)
    | spl0_0 ),
    inference(resolution,[status(thm)],[f18,f7]) ).

fof(f27,plain,
    ( $false
    | spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f26,f18]) ).

fof(f28,plain,
    spl0_0,
    inference(contradiction_clause,[status(thm)],[f27]) ).

fof(f29,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f25,f28]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SYN327-1 : TPTP v8.1.2. Released v1.2.0.
% 0.12/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35  % Computer : n022.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 : Mon Apr 29 22:01:13 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.13/0.36  % Drodi V3.6.0
% 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
% 0.13/0.37  % Elapsed time: 0.017175 seconds
% 0.13/0.37  % CPU time: 0.031533 seconds
% 0.13/0.37  % Total memory used: 1.891 MB
% 0.13/0.37  % Net memory used: 1.789 MB
%------------------------------------------------------------------------------