%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : FLD030-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n013.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 12:06:56 EDT 2023

% Result   : Unsatisfiable 0.15s 0.36s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   29 (  12 unt;   0 def)
%            Number of atoms       :   53 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   48 (  24   ~;  22   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   3 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   30 (;  30   !;   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/sandbox/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ! [X] :
      ( product(multiplicative_identity,X,X)
      | ~ 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(f28,hypothesis,
    defined(b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f31,negated_conjecture,
    product(a,b,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f32,negated_conjecture,
    product(multiplicative_identity,a,d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f33,negated_conjecture,
    ~ product(d,b,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f43,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(f44,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)],[f43]) ).

fof(f45,plain,
    ! [X0] :
      ( product(multiplicative_identity,X0,X0)
      | ~ defined(X0) ),
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f47,plain,
    ! [X0,X1,X2] :
      ( product(X0,X1,X2)
      | ~ product(X1,X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f74,plain,
    defined(b),
    inference(cnf_transformation,[status(esa)],[f28]) ).

fof(f77,plain,
    product(a,b,c),
    inference(cnf_transformation,[status(esa)],[f31]) ).

fof(f78,plain,
    product(multiplicative_identity,a,d),
    inference(cnf_transformation,[status(esa)],[f32]) ).

fof(f79,plain,
    ~ product(d,b,c),
    inference(cnf_transformation,[status(esa)],[f33]) ).

fof(f80,plain,
    product(a,multiplicative_identity,d),
    inference(resolution,[status(thm)],[f47,f78]) ).

fof(f115,plain,
    ! [X0,X1,X2] :
      ( product(X0,X1,c)
      | ~ product(a,X2,X0)
      | ~ product(X2,X1,b) ),
    inference(resolution,[status(thm)],[f44,f77]) ).

fof(f120,plain,
    ! [X0] :
      ( product(d,X0,c)
      | ~ product(multiplicative_identity,X0,b) ),
    inference(resolution,[status(thm)],[f115,f80]) ).

fof(f275,plain,
    ( spl0_15
  <=> defined(b) ),
    introduced(split_symbol_definition) ).

fof(f277,plain,
    ( ~ defined(b)
    | spl0_15 ),
    inference(component_clause,[status(thm)],[f275]) ).

fof(f278,plain,
    ( spl0_16
  <=> product(d,b,c) ),
    introduced(split_symbol_definition) ).

fof(f279,plain,
    ( product(d,b,c)
    | ~ spl0_16 ),
    inference(component_clause,[status(thm)],[f278]) ).

fof(f281,plain,
    ( ~ defined(b)
    | product(d,b,c) ),
    inference(resolution,[status(thm)],[f45,f120]) ).

fof(f282,plain,
    ( ~ spl0_15
    | spl0_16 ),
    inference(split_clause,[status(thm)],[f281,f275,f278]) ).

fof(f562,plain,
    ( $false
    | spl0_15 ),
    inference(forward_subsumption_resolution,[status(thm)],[f277,f74]) ).

fof(f563,plain,
    spl0_15,
    inference(contradiction_clause,[status(thm)],[f562]) ).

fof(f566,plain,
    ( $false
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[status(thm)],[f279,f79]) ).

fof(f567,plain,
    ~ spl0_16,
    inference(contradiction_clause,[status(thm)],[f566]) ).

fof(f568,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f282,f563,f567]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem  : FLD030-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.02/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31  % Computer : n013.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Tue May 30 10:56:35 EDT 2023
% 0.10/0.31  % CPUTime  : 
% 0.15/0.32  % Drodi V3.5.1
% 0.15/0.36  % Refutation found
% 0.15/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.37  % Elapsed time: 0.049290 seconds
% 0.15/0.37  % CPU time: 0.073750 seconds
% 0.15/0.37  % Memory used: 2.330 MB
%------------------------------------------------------------------------------