%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : FLD018-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 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 : Wed May 31 12:06:52 EDT 2023

% Result   : Unsatisfiable 0.07s 0.27s
% Output   : CNFRefutation 0.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   47 (  10 unt;   0 def)
%            Number of atoms       :  108 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  121 (  60   ~;  58   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   4 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   46 (;  46   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X,V,W,Y,U,Z] :
      ( sum(X,V,W)
      | ~ sum(X,Y,U)
      | ~ sum(Y,Z,V)
      | ~ sum(U,Z,W) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [X] :
      ( sum(additive_identity,X,X)
      | ~ defined(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [X] :
      ( sum(additive_inverse(X),X,additive_identity)
      | ~ defined(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ! [Y,X,Z] :
      ( sum(Y,X,Z)
      | ~ sum(X,Y,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f13,axiom,
    ! [X,Y] :
      ( defined(add(X,Y))
      | ~ defined(X)
      | ~ defined(Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f19,axiom,
    ! [X,Y] :
      ( sum(X,Y,add(X,Y))
      | ~ defined(X)
      | ~ defined(Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f27,hypothesis,
    defined(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f28,negated_conjecture,
    sum(additive_identity,a,additive_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f29,negated_conjecture,
    ~ sum(additive_identity,additive_inverse(a),additive_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f30,plain,
    ! [W,U,Z] :
      ( ! [V,Y] :
          ( ! [X] :
              ( sum(X,V,W)
              | ~ sum(X,Y,U) )
          | ~ sum(Y,Z,V) )
      | ~ sum(U,Z,W) ),
    inference(miniscoping,[status(esa)],[f1]) ).

fof(f31,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( sum(X0,X1,X2)
      | ~ sum(X0,X3,X4)
      | ~ sum(X3,X5,X1)
      | ~ sum(X4,X5,X2) ),
    inference(cnf_transformation,[status(esa)],[f30]) ).

fof(f34,plain,
    ! [X0] :
      ( sum(additive_identity,X0,X0)
      | ~ defined(X0) ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f35,plain,
    ! [X0] :
      ( sum(additive_inverse(X0),X0,additive_identity)
      | ~ defined(X0) ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f36,plain,
    ! [X0,X1,X2] :
      ( sum(X0,X1,X2)
      | ~ sum(X1,X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f48,plain,
    ! [Y] :
      ( ! [X] :
          ( defined(add(X,Y))
          | ~ defined(X) )
      | ~ defined(Y) ),
    inference(miniscoping,[status(esa)],[f13]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( defined(add(X0,X1))
      | ~ defined(X0)
      | ~ defined(X1) ),
    inference(cnf_transformation,[status(esa)],[f48]) ).

fof(f56,plain,
    ! [Y] :
      ( ! [X] :
          ( sum(X,Y,add(X,Y))
          | ~ defined(X) )
      | ~ defined(Y) ),
    inference(miniscoping,[status(esa)],[f19]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( sum(X0,X1,add(X0,X1))
      | ~ defined(X0)
      | ~ defined(X1) ),
    inference(cnf_transformation,[status(esa)],[f56]) ).

fof(f69,plain,
    defined(a),
    inference(cnf_transformation,[status(esa)],[f27]) ).

fof(f70,plain,
    sum(additive_identity,a,additive_identity),
    inference(cnf_transformation,[status(esa)],[f28]) ).

fof(f71,plain,
    ~ sum(additive_identity,additive_inverse(a),additive_identity),
    inference(cnf_transformation,[status(esa)],[f29]) ).

fof(f72,plain,
    ! [X0] :
      ( sum(additive_identity,X0,additive_identity)
      | ~ sum(a,a,X0) ),
    inference(resolution,[status(thm)],[f31,f70]) ).

fof(f92,plain,
    sum(a,additive_identity,additive_identity),
    inference(resolution,[status(thm)],[f36,f70]) ).

fof(f106,plain,
    sum(additive_inverse(a),a,additive_identity),
    inference(resolution,[status(thm)],[f35,f69]) ).

fof(f184,plain,
    ( spl0_0
  <=> defined(a) ),
    introduced(split_symbol_definition) ).

fof(f186,plain,
    ( ~ defined(a)
    | spl0_0 ),
    inference(component_clause,[status(thm)],[f184]) ).

fof(f187,plain,
    ( spl0_1
  <=> sum(additive_identity,add(a,a),additive_identity) ),
    introduced(split_symbol_definition) ).

fof(f188,plain,
    ( sum(additive_identity,add(a,a),additive_identity)
    | ~ spl0_1 ),
    inference(component_clause,[status(thm)],[f187]) ).

fof(f190,plain,
    ( ~ defined(a)
    | ~ defined(a)
    | sum(additive_identity,add(a,a),additive_identity) ),
    inference(resolution,[status(thm)],[f57,f72]) ).

fof(f191,plain,
    ( ~ spl0_0
    | spl0_1 ),
    inference(split_clause,[status(thm)],[f190,f184,f187]) ).

fof(f201,plain,
    ( $false
    | spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f186,f69]) ).

fof(f202,plain,
    spl0_0,
    inference(contradiction_clause,[status(thm)],[f201]) ).

fof(f205,plain,
    ! [X0,X1,X2] :
      ( sum(X0,X1,additive_identity)
      | ~ sum(X0,X2,additive_identity)
      | ~ sum(X2,add(a,a),X1)
      | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f188,f31]) ).

fof(f218,plain,
    ( spl0_3
  <=> defined(add(a,a)) ),
    introduced(split_symbol_definition) ).

fof(f219,plain,
    ( defined(add(a,a))
    | ~ spl0_3 ),
    inference(component_clause,[status(thm)],[f218]) ).

fof(f220,plain,
    ( ~ defined(add(a,a))
    | spl0_3 ),
    inference(component_clause,[status(thm)],[f218]) ).

fof(f224,plain,
    ( ~ defined(a)
    | ~ defined(a)
    | spl0_3 ),
    inference(resolution,[status(thm)],[f220,f49]) ).

fof(f225,plain,
    ( ~ spl0_0
    | spl0_3 ),
    inference(split_clause,[status(thm)],[f224,f184,f218]) ).

fof(f227,plain,
    ( sum(additive_identity,add(a,a),add(a,a))
    | ~ spl0_3 ),
    inference(resolution,[status(thm)],[f219,f34]) ).

fof(f234,plain,
    ! [X0] :
      ( sum(X0,add(a,a),additive_identity)
      | ~ sum(X0,additive_identity,additive_identity)
      | ~ spl0_3
      | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f227,f205]) ).

fof(f256,plain,
    ( sum(a,add(a,a),additive_identity)
    | ~ spl0_3
    | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f234,f92]) ).

fof(f259,plain,
    ! [X0] :
      ( sum(X0,additive_identity,additive_identity)
      | ~ sum(X0,a,additive_identity)
      | ~ spl0_3
      | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f256,f205]) ).

fof(f280,plain,
    ( sum(additive_inverse(a),additive_identity,additive_identity)
    | ~ spl0_3
    | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f259,f106]) ).

fof(f284,plain,
    ( sum(additive_identity,additive_inverse(a),additive_identity)
    | ~ spl0_3
    | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f280,f36]) ).

fof(f285,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f284,f71]) ).

fof(f286,plain,
    ( ~ spl0_3
    | ~ spl0_1 ),
    inference(contradiction_clause,[status(thm)],[f285]) ).

fof(f287,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f191,f202,f225,f286]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem  : FLD018-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.07  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26  % Computer : n011.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8042.1875MB
% 0.07/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26  % CPULimit : 300
% 0.07/0.26  % WCLimit  : 300
% 0.07/0.26  % DateTime : Tue May 30 11:01:27 EDT 2023
% 0.07/0.26  % CPUTime  : 
% 0.07/0.26  % Drodi V3.5.1
% 0.07/0.27  % Refutation found
% 0.07/0.27  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.07/0.27  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.07/0.28  % Elapsed time: 0.017337 seconds
% 0.07/0.28  % CPU time: 0.066505 seconds
% 0.07/0.28  % Memory used: 2.692 MB
%------------------------------------------------------------------------------