%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : FLD007-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n028.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 12:06:48 EDT 2023

% Result   : Unsatisfiable 0.13s 0.37s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   33 (  10 unt;   0 def)
%            Number of atoms       :   64 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   66 (  35   ~;  30   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   2 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   35 (;  35   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [U,Z,W,X,Y,V] :
      ( sum(U,Z,W)
      | ~ sum(X,Y,U)
      | ~ sum(Y,Z,V)
      | ~ sum(X,V,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(f15,axiom,
    ! [X] :
      ( defined(additive_inverse(X))
      | ~ defined(X) ),
    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,additive_inverse(additive_inverse(a)),a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f31,plain,
    ! [W,X,V] :
      ( ! [Z,Y] :
          ( ! [U] :
              ( sum(U,Z,W)
              | ~ sum(X,Y,U) )
          | ~ sum(Y,Z,V) )
      | ~ sum(X,V,W) ),
    inference(miniscoping,[status(esa)],[f2]) ).

fof(f32,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( sum(X0,X1,X2)
      | ~ sum(X3,X4,X0)
      | ~ sum(X4,X1,X5)
      | ~ sum(X3,X5,X2) ),
    inference(cnf_transformation,[status(esa)],[f31]) ).

fof(f33,plain,
    ! [X0] :
      ( sum(additive_identity,X0,X0)
      | ~ defined(X0) ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f34,plain,
    ! [X0] :
      ( sum(additive_inverse(X0),X0,additive_identity)
      | ~ defined(X0) ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f35,plain,
    ! [X0,X1,X2] :
      ( sum(X0,X1,X2)
      | ~ sum(X1,X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f50,plain,
    ! [X0] :
      ( defined(additive_inverse(X0))
      | ~ defined(X0) ),
    inference(cnf_transformation,[status(esa)],[f15]) ).

fof(f68,plain,
    defined(a),
    inference(cnf_transformation,[status(esa)],[f27]) ).

fof(f69,plain,
    ~ sum(additive_identity,additive_inverse(additive_inverse(a)),a),
    inference(cnf_transformation,[status(esa)],[f28]) ).

fof(f84,plain,
    ! [X0] :
      ( sum(X0,additive_identity,X0)
      | ~ defined(X0) ),
    inference(resolution,[status(thm)],[f35,f33]) ).

fof(f86,plain,
    sum(a,additive_identity,a),
    inference(resolution,[status(thm)],[f84,f68]) ).

fof(f108,plain,
    sum(additive_inverse(a),a,additive_identity),
    inference(resolution,[status(thm)],[f34,f68]) ).

fof(f110,plain,
    sum(a,additive_inverse(a),additive_identity),
    inference(resolution,[status(thm)],[f108,f35]) ).

fof(f134,plain,
    ! [X0,X1,X2] :
      ( ~ sum(X0,X1,additive_identity)
      | ~ sum(X1,additive_inverse(additive_inverse(a)),X2)
      | ~ sum(X0,X2,a) ),
    inference(resolution,[status(thm)],[f32,f69]) ).

fof(f203,plain,
    ( spl0_3
  <=> defined(additive_inverse(a)) ),
    introduced(split_symbol_definition) ).

fof(f204,plain,
    ( defined(additive_inverse(a))
    | ~ spl0_3 ),
    inference(component_clause,[status(thm)],[f203]) ).

fof(f205,plain,
    ( ~ defined(additive_inverse(a))
    | spl0_3 ),
    inference(component_clause,[status(thm)],[f203]) ).

fof(f219,plain,
    ( ~ defined(a)
    | spl0_3 ),
    inference(resolution,[status(thm)],[f205,f50]) ).

fof(f220,plain,
    ( $false
    | spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f219,f68]) ).

fof(f221,plain,
    spl0_3,
    inference(contradiction_clause,[status(thm)],[f220]) ).

fof(f223,plain,
    ( sum(additive_inverse(additive_inverse(a)),additive_inverse(a),additive_identity)
    | ~ spl0_3 ),
    inference(resolution,[status(thm)],[f204,f34]) ).

fof(f243,plain,
    ( sum(additive_inverse(a),additive_inverse(additive_inverse(a)),additive_identity)
    | ~ spl0_3 ),
    inference(resolution,[status(thm)],[f223,f35]) ).

fof(f249,plain,
    ! [X0] :
      ( ~ sum(X0,additive_inverse(a),additive_identity)
      | ~ sum(X0,additive_identity,a)
      | ~ spl0_3 ),
    inference(resolution,[status(thm)],[f243,f134]) ).

fof(f262,plain,
    ( ~ sum(a,additive_inverse(a),additive_identity)
    | ~ spl0_3 ),
    inference(resolution,[status(thm)],[f249,f86]) ).

fof(f263,plain,
    ( $false
    | ~ spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f262,f110]) ).

fof(f264,plain,
    ~ spl0_3,
    inference(contradiction_clause,[status(thm)],[f263]) ).

fof(f265,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f221,f264]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : FLD007-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.06/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n028.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 11:15:17 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.5.1
% 0.13/0.37  % Refutation found
% 0.13/0.37  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.38  % Elapsed time: 0.034689 seconds
% 0.13/0.38  % CPU time: 0.163689 seconds
% 0.13/0.38  % Memory used: 3.374 MB
%------------------------------------------------------------------------------