%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : FLD010-3 : 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 12:06:49 EDT 2023

% Result   : Unsatisfiable 0.14s 0.37s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   22 (   9 unt;   0 def)
%            Number of atoms       :   37 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   30 (  15   ~;  13   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   3 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :    8 (;   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f9,axiom,
    ! [X] :
      ( product(multiplicative_inverse(X),X,multiplicative_identity)
      | sum(additive_identity,X,additive_identity)
      | ~ defined(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10,axiom,
    ! [Y,X,Z] :
      ( product(Y,X,Z)
      | ~ product(X,Y,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

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

fof(f28,negated_conjecture,
    ~ product(multiplicative_identity,multiplicative_inverse(multiplicative_identity),multiplicative_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f41,plain,
    ! [X0] :
      ( product(multiplicative_inverse(X0),X0,multiplicative_identity)
      | sum(additive_identity,X0,additive_identity)
      | ~ defined(X0) ),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f42,plain,
    ! [X0,X1,X2] :
      ( product(X0,X1,X2)
      | ~ product(X1,X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f53,plain,
    defined(multiplicative_identity),
    inference(cnf_transformation,[status(esa)],[f17]) ).

fof(f68,plain,
    ~ sum(additive_identity,multiplicative_identity,additive_identity),
    inference(cnf_transformation,[status(esa)],[f27]) ).

fof(f69,plain,
    ~ product(multiplicative_identity,multiplicative_inverse(multiplicative_identity),multiplicative_identity),
    inference(cnf_transformation,[status(esa)],[f28]) ).

fof(f76,plain,
    ( spl0_0
  <=> product(multiplicative_inverse(multiplicative_identity),multiplicative_identity,multiplicative_identity) ),
    introduced(split_symbol_definition) ).

fof(f77,plain,
    ( product(multiplicative_inverse(multiplicative_identity),multiplicative_identity,multiplicative_identity)
    | ~ spl0_0 ),
    inference(component_clause,[status(thm)],[f76]) ).

fof(f79,plain,
    ( spl0_1
  <=> defined(multiplicative_identity) ),
    introduced(split_symbol_definition) ).

fof(f81,plain,
    ( ~ defined(multiplicative_identity)
    | spl0_1 ),
    inference(component_clause,[status(thm)],[f79]) ).

fof(f82,plain,
    ( product(multiplicative_inverse(multiplicative_identity),multiplicative_identity,multiplicative_identity)
    | ~ defined(multiplicative_identity) ),
    inference(resolution,[status(thm)],[f41,f68]) ).

fof(f83,plain,
    ( spl0_0
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f82,f76,f79]) ).

fof(f113,plain,
    ( $false
    | spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f81,f53]) ).

fof(f114,plain,
    spl0_1,
    inference(contradiction_clause,[status(thm)],[f113]) ).

fof(f145,plain,
    ( product(multiplicative_identity,multiplicative_inverse(multiplicative_identity),multiplicative_identity)
    | ~ spl0_0 ),
    inference(resolution,[status(thm)],[f77,f42]) ).

fof(f146,plain,
    ( $false
    | ~ spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f145,f69]) ).

fof(f147,plain,
    ~ spl0_0,
    inference(contradiction_clause,[status(thm)],[f146]) ).

fof(f148,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f83,f114,f147]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem  : FLD010-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.13/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34  % Computer : n024.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Tue May 30 11:01:48 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Drodi V3.5.1
% 0.14/0.37  % Refutation found
% 0.14/0.37  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.38  % Elapsed time: 0.024875 seconds
% 0.14/0.38  % CPU time: 0.079462 seconds
% 0.14/0.38  % Memory used: 2.403 MB
%------------------------------------------------------------------------------