%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SET116-7 : TPTP v8.1.2. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n017.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 12:34:03 EDT 2023

% Result   : Unsatisfiable 0.13s 0.38s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   21 (   9 unt;   0 def)
%            Number of atoms       :   33 (  20 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   23 (  11   ~;  10   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   3 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :    4 (;   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f156,axiom,
    ! [X] :
      ( ordered_pair(first(X),second(X)) = X
      | first(X) = X ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f157,axiom,
    ! [X] :
      ( ordered_pair(first(X),second(X)) = X
      | second(X) = X ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f160,negated_conjecture,
    ordered_pair(first(x),second(x)) != x,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f161,negated_conjecture,
    second(x) != x,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f350,plain,
    ! [X0] :
      ( ordered_pair(first(X0),second(X0)) = X0
      | first(X0) = X0 ),
    inference(cnf_transformation,[status(esa)],[f156]) ).

fof(f351,plain,
    ! [X0] :
      ( ordered_pair(first(X0),second(X0)) = X0
      | second(X0) = X0 ),
    inference(cnf_transformation,[status(esa)],[f157]) ).

fof(f354,plain,
    ordered_pair(first(x),second(x)) != x,
    inference(cnf_transformation,[status(esa)],[f160]) ).

fof(f355,plain,
    second(x) != x,
    inference(cnf_transformation,[status(esa)],[f161]) ).

fof(f359,plain,
    first(x) = x,
    inference(resolution,[status(thm)],[f350,f354]) ).

fof(f371,plain,
    ordered_pair(x,second(x)) != x,
    inference(backward_demodulation,[status(thm)],[f359,f354]) ).

fof(f372,plain,
    ( spl0_2
  <=> ordered_pair(x,second(x)) = x ),
    introduced(split_symbol_definition) ).

fof(f373,plain,
    ( ordered_pair(x,second(x)) = x
    | ~ spl0_2 ),
    inference(component_clause,[status(thm)],[f372]) ).

fof(f385,plain,
    ( spl0_4
  <=> second(x) = x ),
    introduced(split_symbol_definition) ).

fof(f386,plain,
    ( second(x) = x
    | ~ spl0_4 ),
    inference(component_clause,[status(thm)],[f385]) ).

fof(f388,plain,
    ( ordered_pair(x,second(x)) = x
    | second(x) = x ),
    inference(paramodulation,[status(thm)],[f359,f351]) ).

fof(f389,plain,
    ( spl0_2
    | spl0_4 ),
    inference(split_clause,[status(thm)],[f388,f372,f385]) ).

fof(f392,plain,
    ( $false
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f373,f371]) ).

fof(f393,plain,
    ~ spl0_2,
    inference(contradiction_clause,[status(thm)],[f392]) ).

fof(f394,plain,
    ( $false
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[f386,f355]) ).

fof(f395,plain,
    ~ spl0_4,
    inference(contradiction_clause,[status(thm)],[f394]) ).

fof(f396,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f389,f393,f395]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SET116-7 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.06/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n017.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue May 30 09:45:25 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.5.1
% 0.13/0.38  % Refutation found
% 0.13/0.38  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.38  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.38  % Elapsed time: 0.029968 seconds
% 0.13/0.38  % CPU time: 0.040860 seconds
% 0.13/0.38  % Memory used: 15.686 MB
%------------------------------------------------------------------------------