%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : FLD021-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n013.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 12:06:53 EDT 2023

% Result   : Unsatisfiable 0.13s 0.36s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   35 (  10 unt;   0 def)
%            Number of atoms       :   68 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   68 (  35   ~;  30   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   4 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   26 (;  26   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X] :
      ( equalish(add(additive_identity,X),X)
      | ~ defined(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f22,axiom,
    ! [X,Y] :
      ( equalish(X,Y)
      | ~ equalish(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f23,axiom,
    ! [X,Z,Y] :
      ( equalish(X,Z)
      | ~ equalish(X,Y)
      | ~ equalish(Y,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f24,axiom,
    ! [X,Z,Y] :
      ( equalish(add(X,Z),add(Y,Z))
      | ~ defined(Z)
      | ~ equalish(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f28,hypothesis,
    defined(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f30,negated_conjecture,
    equalish(m,additive_identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f31,negated_conjecture,
    ~ equalish(add(m,a),a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f34,plain,
    ! [X0] :
      ( equalish(add(additive_identity,X0),X0)
      | ~ defined(X0) ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( equalish(X0,X1)
      | ~ equalish(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f22]) ).

fof(f65,plain,
    ! [Z,Y] :
      ( ! [X] :
          ( equalish(X,Z)
          | ~ equalish(X,Y) )
      | ~ equalish(Y,Z) ),
    inference(miniscoping,[status(esa)],[f23]) ).

fof(f66,plain,
    ! [X0,X1,X2] :
      ( equalish(X0,X1)
      | ~ equalish(X0,X2)
      | ~ equalish(X2,X1) ),
    inference(cnf_transformation,[status(esa)],[f65]) ).

fof(f67,plain,
    ! [X,Y] :
      ( ! [Z] :
          ( equalish(add(X,Z),add(Y,Z))
          | ~ defined(Z) )
      | ~ equalish(X,Y) ),
    inference(miniscoping,[status(esa)],[f24]) ).

fof(f68,plain,
    ! [X0,X1,X2] :
      ( equalish(add(X0,X1),add(X2,X1))
      | ~ defined(X1)
      | ~ equalish(X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f67]) ).

fof(f74,plain,
    defined(a),
    inference(cnf_transformation,[status(esa)],[f28]) ).

fof(f76,plain,
    equalish(m,additive_identity),
    inference(cnf_transformation,[status(esa)],[f30]) ).

fof(f77,plain,
    ~ equalish(add(m,a),a),
    inference(cnf_transformation,[status(esa)],[f31]) ).

fof(f78,plain,
    ~ equalish(a,add(m,a)),
    inference(resolution,[status(thm)],[f64,f77]) ).

fof(f80,plain,
    ! [X0] :
      ( ~ equalish(a,X0)
      | ~ equalish(X0,add(m,a)) ),
    inference(resolution,[status(thm)],[f66,f78]) ).

fof(f83,plain,
    ! [X0] :
      ( ~ equalish(X0,add(m,a))
      | ~ equalish(X0,a) ),
    inference(resolution,[status(thm)],[f80,f64]) ).

fof(f87,plain,
    ( spl0_1
  <=> defined(a) ),
    introduced(split_symbol_definition) ).

fof(f89,plain,
    ( ~ defined(a)
    | spl0_1 ),
    inference(component_clause,[status(thm)],[f87]) ).

fof(f102,plain,
    ( spl0_4
  <=> equalish(add(additive_identity,a),add(m,a)) ),
    introduced(split_symbol_definition) ).

fof(f104,plain,
    ( ~ equalish(add(additive_identity,a),add(m,a))
    | spl0_4 ),
    inference(component_clause,[status(thm)],[f102]) ).

fof(f105,plain,
    ( ~ equalish(add(additive_identity,a),add(m,a))
    | ~ defined(a) ),
    inference(resolution,[status(thm)],[f83,f34]) ).

fof(f106,plain,
    ( ~ spl0_4
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f105,f102,f87]) ).

fof(f124,plain,
    ( $false
    | spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f89,f74]) ).

fof(f125,plain,
    spl0_1,
    inference(contradiction_clause,[status(thm)],[f124]) ).

fof(f187,plain,
    ( spl0_15
  <=> equalish(additive_identity,m) ),
    introduced(split_symbol_definition) ).

fof(f189,plain,
    ( ~ equalish(additive_identity,m)
    | spl0_15 ),
    inference(component_clause,[status(thm)],[f187]) ).

fof(f190,plain,
    ( ~ defined(a)
    | ~ equalish(additive_identity,m)
    | spl0_4 ),
    inference(resolution,[status(thm)],[f104,f68]) ).

fof(f191,plain,
    ( ~ spl0_1
    | ~ spl0_15
    | spl0_4 ),
    inference(split_clause,[status(thm)],[f190,f87,f187,f102]) ).

fof(f195,plain,
    ( ~ equalish(m,additive_identity)
    | spl0_15 ),
    inference(resolution,[status(thm)],[f189,f64]) ).

fof(f196,plain,
    ( $false
    | spl0_15 ),
    inference(forward_subsumption_resolution,[status(thm)],[f195,f76]) ).

fof(f197,plain,
    spl0_15,
    inference(contradiction_clause,[status(thm)],[f196]) ).

fof(f198,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f106,f125,f191,f197]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : FLD021-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n013.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 10:55:05 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.5.1
% 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
% 0.22/0.59  % Elapsed time: 0.026622 seconds
% 0.22/0.59  % CPU time: 0.024317 seconds
% 0.22/0.59  % Memory used: 602.250 KB
%------------------------------------------------------------------------------