%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : FLD039-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n010.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 20:16:27 EDT 2024

% Result   : Unsatisfiable 0.13s 0.36s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   19 (  12 unt;   0 def)
%            Number of atoms       :   33 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   30 (  16   ~;  14   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   24 (  24   !;   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(f14,axiom,
    defined(additive_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f17,axiom,
    defined(multiplicative_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f26,axiom,
    ~ sum(additive_identity,additive_identity,multiplicative_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f29,negated_conjecture,
    sum(additive_identity,multiplicative_identity,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(f50,plain,
    defined(additive_identity),
    inference(cnf_transformation,[status(esa)],[f14]) ).

fof(f54,plain,
    defined(multiplicative_identity),
    inference(cnf_transformation,[status(esa)],[f17]) ).

fof(f68,plain,
    ~ sum(additive_identity,additive_identity,multiplicative_identity),
    inference(cnf_transformation,[status(esa)],[f26]) ).

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

fof(f74,plain,
    ! [X0,X1,X2] :
      ( sum(X0,additive_identity,X1)
      | ~ sum(X0,additive_identity,X2)
      | ~ sum(X2,multiplicative_identity,X1) ),
    inference(resolution,[status(thm)],[f31,f71]) ).

fof(f77,plain,
    sum(additive_identity,multiplicative_identity,multiplicative_identity),
    inference(resolution,[status(thm)],[f34,f54]) ).

fof(f78,plain,
    sum(additive_identity,additive_identity,additive_identity),
    inference(resolution,[status(thm)],[f34,f50]) ).

fof(f91,plain,
    ! [X0] :
      ( sum(additive_identity,additive_identity,X0)
      | ~ sum(additive_identity,multiplicative_identity,X0) ),
    inference(resolution,[status(thm)],[f78,f74]) ).

fof(f98,plain,
    sum(additive_identity,additive_identity,multiplicative_identity),
    inference(resolution,[status(thm)],[f91,f77]) ).

fof(f99,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f98,f68]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : FLD039-3 : 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 : n010.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 : Mon Apr 29 23:04:35 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % 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: 0.019208 seconds
% 0.13/0.37  % CPU time: 0.054556 seconds
% 0.13/0.37  % Total memory used: 2.604 MB
% 0.13/0.37  % Net memory used: 2.587 MB
%------------------------------------------------------------------------------