%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : GRP028-4 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n011.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 20:18:50 EDT 2024

% Result   : Unsatisfiable 0.12s 0.37s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   13 (   8 unt;   0 def)
%            Number of atoms       :   25 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   26 (  14   ~;  12   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   0 con; 1-2 aty)
%            Number of variables   :   38 (  38   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X,Y,U,Z,V,W] :
      ( ~ product(X,Y,U)
      | ~ product(Y,Z,V)
      | ~ product(X,V,W)
      | product(U,Z,W) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,hypothesis,
    ! [X,Y] : product(left_solution(X,Y),X,Y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,hypothesis,
    ! [X,Y] : product(X,right_solution(X,Y),Y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,negated_conjecture,
    ! [X] : ~ product(not_identity(X),X,not_identity(X)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,plain,
    ! [U,Z,W] :
      ( ! [X,V] :
          ( ! [Y] :
              ( ~ product(X,Y,U)
              | ~ product(Y,Z,V) )
          | ~ product(X,V,W) )
      | product(U,Z,W) ),
    inference(miniscoping,[status(esa)],[f1]) ).

fof(f7,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ product(X0,X1,X2)
      | ~ product(X1,X3,X4)
      | ~ product(X0,X4,X5)
      | product(X2,X3,X5) ),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f10,plain,
    ! [X0,X1] : product(left_solution(X0,X1),X0,X1),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f11,plain,
    ! [X0,X1] : product(X0,right_solution(X0,X1),X1),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f12,plain,
    ! [X0] : ~ product(not_identity(X0),X0,not_identity(X0)),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f22,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ product(left_solution(X0,X1),X2,X3)
      | ~ product(X2,X4,X0)
      | product(X3,X4,X1) ),
    inference(resolution,[status(thm)],[f10,f7]) ).

fof(f57,plain,
    ! [X0,X1,X2] :
      ( ~ product(X0,X1,X0)
      | product(X2,X1,X2) ),
    inference(resolution,[status(thm)],[f22,f10]) ).

fof(f68,plain,
    ! [X0,X1] : product(X0,right_solution(X1,X1),X0),
    inference(resolution,[status(thm)],[f57,f11]) ).

fof(f69,plain,
    $false,
    inference(resolution,[status(thm)],[f68,f12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GRP028-4 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.35  % Computer : n011.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit : 300
% 0.12/0.35  % WCLimit  : 300
% 0.12/0.35  % DateTime : Tue Apr 30 00:24:01 EDT 2024
% 0.12/0.35  % CPUTime  : 
% 0.12/0.36  % Drodi V3.6.0
% 0.12/0.37  % Refutation found
% 0.12/0.37  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.38  % Elapsed time: 0.019864 seconds
% 0.12/0.38  % CPU time: 0.028779 seconds
% 0.12/0.38  % Total memory used: 6.553 MB
% 0.12/0.38  % Net memory used: 6.505 MB
%------------------------------------------------------------------------------