%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GRP004-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n020.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 12:09:40 EDT 2023

% Result   : Unsatisfiable 0.10s 0.36s
% Output   : CNFRefutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   19 (   9 unt;   0 def)
%            Number of atoms       :   43 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   50 (  26   ~;  24   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   57 (;  57   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X] : product(inverse(X),X,identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [X] : product(identity,X,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [X,Y,U,Z,V,W] :
      ( ~ product(X,Y,U)
      | ~ product(Y,Z,V)
      | ~ product(U,Z,W)
      | product(X,V,W) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,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(f5,negated_conjecture,
    ! [X] : ~ product(a,X,identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,plain,
    ! [X0] : product(inverse(X0),X0,identity),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f7,plain,
    ! [X0] : product(identity,X0,X0),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f8,plain,
    ! [X,V,W] :
      ( ! [U,Z] :
          ( ! [Y] :
              ( ~ product(X,Y,U)
              | ~ product(Y,Z,V) )
          | ~ product(U,Z,W) )
      | product(X,V,W) ),
    inference(miniscoping,[status(esa)],[f3]) ).

fof(f9,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ product(X0,X1,X2)
      | ~ product(X1,X3,X4)
      | ~ product(X2,X3,X5)
      | product(X0,X4,X5) ),
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f10,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)],[f4]) ).

fof(f11,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)],[f10]) ).

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

fof(f15,plain,
    ! [X0,X1,X2,X3] :
      ( ~ product(X0,X1,identity)
      | ~ product(X1,X2,X3)
      | product(X0,X3,X2) ),
    inference(resolution,[status(thm)],[f9,f7]) ).

fof(f30,plain,
    ! [X0,X1,X2] :
      ( ~ product(X0,X1,X2)
      | product(inverse(X0),X2,X1) ),
    inference(resolution,[status(thm)],[f6,f15]) ).

fof(f33,plain,
    ! [X0,X1,X2,X3] :
      ( ~ product(inverse(X0),X1,X2)
      | ~ product(X1,X3,X0)
      | product(X2,X3,identity) ),
    inference(resolution,[status(thm)],[f6,f11]) ).

fof(f56,plain,
    ! [X0] : product(inverse(inverse(X0)),identity,X0),
    inference(resolution,[status(thm)],[f30,f6]) ).

fof(f76,plain,
    ! [X0,X1] :
      ( ~ product(identity,X0,inverse(X1))
      | product(X1,X0,identity) ),
    inference(resolution,[status(thm)],[f56,f33]) ).

fof(f220,plain,
    ! [X0] : product(X0,inverse(X0),identity),
    inference(resolution,[status(thm)],[f76,f7]) ).

fof(f221,plain,
    $false,
    inference(resolution,[status(thm)],[f220,f12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP004-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.33  % Computer : n020.cluster.edu
% 0.10/0.33  % Model    : x86_64 x86_64
% 0.10/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33  % Memory   : 8042.1875MB
% 0.10/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33  % CPULimit : 300
% 0.10/0.33  % WCLimit  : 300
% 0.10/0.33  % DateTime : Tue May 30 11:27:28 EDT 2023
% 0.10/0.33  % CPUTime  : 
% 0.10/0.34  % Drodi V3.5.1
% 0.10/0.36  % Refutation found
% 0.10/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.60  % Elapsed time: 0.047512 seconds
% 0.18/0.60  % CPU time: 0.045555 seconds
% 0.18/0.60  % Memory used: 2.861 MB
%------------------------------------------------------------------------------