%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : FLD032-3 : 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 12:06:57 EDT 2023

% Result   : Unsatisfiable 0.14s 0.38s
% Output   : CNFRefutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   35 (  13 unt;   0 def)
%            Number of atoms       :   71 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   70 (  34   ~;  33   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   4 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :   34 (;  34   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f7,axiom,
    ! [U,Z,W,X,Y,V] :
      ( product(U,Z,W)
      | ~ product(X,Y,U)
      | ~ product(Y,Z,V)
      | ~ product(X,V,W) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ! [X] :
      ( product(multiplicative_identity,X,X)
      | ~ defined(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    ! [X] :
      ( product(multiplicative_inverse(X),X,multiplicative_identity)
      | sum(additive_identity,X,additive_identity)
      | ~ defined(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10,axiom,
    ! [Y,X,Z] :
      ( product(Y,X,Z)
      | ~ product(X,Y,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f27,hypothesis,
    defined(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f28,negated_conjecture,
    ~ sum(additive_identity,a,additive_identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f29,negated_conjecture,
    product(multiplicative_identity,multiplicative_inverse(a),multiplicative_identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f30,negated_conjecture,
    ~ product(multiplicative_identity,a,multiplicative_identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f40,plain,
    ! [W,X,V] :
      ( ! [Z,Y] :
          ( ! [U] :
              ( product(U,Z,W)
              | ~ product(X,Y,U) )
          | ~ product(Y,Z,V) )
      | ~ product(X,V,W) ),
    inference(miniscoping,[status(esa)],[f7]) ).

fof(f41,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( product(X0,X1,X2)
      | ~ product(X3,X4,X0)
      | ~ product(X4,X1,X5)
      | ~ product(X3,X5,X2) ),
    inference(cnf_transformation,[status(esa)],[f40]) ).

fof(f42,plain,
    ! [X0] :
      ( product(multiplicative_identity,X0,X0)
      | ~ defined(X0) ),
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f43,plain,
    ! [X0] :
      ( product(multiplicative_inverse(X0),X0,multiplicative_identity)
      | sum(additive_identity,X0,additive_identity)
      | ~ defined(X0) ),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f44,plain,
    ! [X0,X1,X2] :
      ( product(X0,X1,X2)
      | ~ product(X1,X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f70,plain,
    defined(a),
    inference(cnf_transformation,[status(esa)],[f27]) ).

fof(f71,plain,
    ~ sum(additive_identity,a,additive_identity),
    inference(cnf_transformation,[status(esa)],[f28]) ).

fof(f72,plain,
    product(multiplicative_identity,multiplicative_inverse(a),multiplicative_identity),
    inference(cnf_transformation,[status(esa)],[f29]) ).

fof(f73,plain,
    ~ product(multiplicative_identity,a,multiplicative_identity),
    inference(cnf_transformation,[status(esa)],[f30]) ).

fof(f80,plain,
    product(multiplicative_inverse(a),multiplicative_identity,multiplicative_identity),
    inference(resolution,[status(thm)],[f44,f72]) ).

fof(f116,plain,
    ! [X0,X1,X2,X3] :
      ( product(X0,X1,X2)
      | ~ product(X3,multiplicative_identity,X0)
      | ~ product(X3,X1,X2)
      | ~ defined(X1) ),
    inference(resolution,[status(thm)],[f41,f42]) ).

fof(f245,plain,
    ! [X0,X1] :
      ( product(multiplicative_identity,X0,X1)
      | ~ product(multiplicative_inverse(a),X0,X1)
      | ~ defined(X0) ),
    inference(resolution,[status(thm)],[f116,f80]) ).

fof(f299,plain,
    ( spl0_24
  <=> sum(additive_identity,a,additive_identity) ),
    introduced(split_symbol_definition) ).

fof(f300,plain,
    ( sum(additive_identity,a,additive_identity)
    | ~ spl0_24 ),
    inference(component_clause,[status(thm)],[f299]) ).

fof(f302,plain,
    ( spl0_25
  <=> defined(a) ),
    introduced(split_symbol_definition) ).

fof(f304,plain,
    ( ~ defined(a)
    | spl0_25 ),
    inference(component_clause,[status(thm)],[f302]) ).

fof(f305,plain,
    ( spl0_26
  <=> product(multiplicative_identity,a,multiplicative_identity) ),
    introduced(split_symbol_definition) ).

fof(f306,plain,
    ( product(multiplicative_identity,a,multiplicative_identity)
    | ~ spl0_26 ),
    inference(component_clause,[status(thm)],[f305]) ).

fof(f308,plain,
    ( sum(additive_identity,a,additive_identity)
    | ~ defined(a)
    | product(multiplicative_identity,a,multiplicative_identity)
    | ~ defined(a) ),
    inference(resolution,[status(thm)],[f43,f245]) ).

fof(f309,plain,
    ( spl0_24
    | ~ spl0_25
    | spl0_26 ),
    inference(split_clause,[status(thm)],[f308,f299,f302,f305]) ).

fof(f344,plain,
    ( $false
    | spl0_25 ),
    inference(forward_subsumption_resolution,[status(thm)],[f304,f70]) ).

fof(f345,plain,
    spl0_25,
    inference(contradiction_clause,[status(thm)],[f344]) ).

fof(f346,plain,
    ( $false
    | ~ spl0_24 ),
    inference(forward_subsumption_resolution,[status(thm)],[f300,f71]) ).

fof(f347,plain,
    ~ spl0_24,
    inference(contradiction_clause,[status(thm)],[f346]) ).

fof(f348,plain,
    ( $false
    | ~ spl0_26 ),
    inference(forward_subsumption_resolution,[status(thm)],[f306,f73]) ).

fof(f349,plain,
    ~ spl0_26,
    inference(contradiction_clause,[status(thm)],[f348]) ).

fof(f350,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f309,f345,f347,f349]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : FLD032-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35  % Computer : n024.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Tue May 30 11:01:48 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.36  % Drodi V3.5.1
% 0.14/0.38  % Refutation found
% 0.14/0.38  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.38  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.46/0.61  % Elapsed time: 0.042329 seconds
% 0.46/0.61  % CPU time: 0.219638 seconds
% 0.46/0.61  % Memory used: 3.989 MB
%------------------------------------------------------------------------------