%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : FLD006-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n024.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 0.07s 0.27s
% Output   : CNFRefutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   11 (   7 unt;   0 def)
%            Number of atoms       :   15 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   10 (   6   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :    8 (;   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
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(f14,axiom,
    defined(additive_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f27,negated_conjecture,
    ~ sum(additive_identity,additive_inverse(additive_identity),additive_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f33,plain,
    ! [X0] :
      ( sum(additive_inverse(X0),X0,additive_identity)
      | ~ defined(X0) ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f34,plain,
    ! [X0,X1,X2] :
      ( sum(X0,X1,X2)
      | ~ sum(X1,X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f48,plain,
    defined(additive_identity),
    inference(cnf_transformation,[status(esa)],[f14]) ).

fof(f67,plain,
    ~ sum(additive_identity,additive_inverse(additive_identity),additive_identity),
    inference(cnf_transformation,[status(esa)],[f27]) ).

fof(f79,plain,
    sum(additive_inverse(additive_identity),additive_identity,additive_identity),
    inference(resolution,[status(thm)],[f33,f48]) ).

fof(f84,plain,
    sum(additive_identity,additive_inverse(additive_identity),additive_identity),
    inference(resolution,[status(thm)],[f79,f34]) ).

fof(f85,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f84,f67]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.07  % Problem  : FLD006-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.02/0.07  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26  % Computer : n024.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 11:01:03 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
% 0.10/0.48  % Elapsed time: 0.010614 seconds
% 0.10/0.48  % CPU time: 0.020478 seconds
% 0.10/0.48  % Memory used: 2.038 MB
%------------------------------------------------------------------------------