%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : GRP029-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n021.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 0.20s 0.37s
% Output   : CNFRefutation 0.20s
% 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;   1 con; 0-1 aty)
%            Number of variables   :   58 (  58   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f12,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/sandbox/benchmark/theBenchmark.p') ).

fof(f13,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/sandbox/benchmark/theBenchmark.p') ).

fof(f14,axiom,
    ! [A] : product(identity,A,A),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f15,axiom,
    ! [A] : product(inverse(A),A,identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16,negated_conjecture,
    ! [A] : ~ product(not_right_identity(A),A,not_right_identity(A)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f35,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)],[f12]) ).

fof(f36,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)],[f35]) ).

fof(f37,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)],[f13]) ).

fof(f38,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)],[f37]) ).

fof(f39,plain,
    ! [X0] : product(identity,X0,X0),
    inference(cnf_transformation,[status(esa)],[f14]) ).

fof(f40,plain,
    ! [X0] : product(inverse(X0),X0,identity),
    inference(cnf_transformation,[status(esa)],[f15]) ).

fof(f41,plain,
    ! [X0] : ~ product(not_right_identity(X0),X0,not_right_identity(X0)),
    inference(cnf_transformation,[status(esa)],[f16]) ).

fof(f45,plain,
    ! [X0,X1,X2,X3] :
      ( ~ product(X0,identity,X1)
      | ~ product(X0,X2,X3)
      | product(X1,X2,X3) ),
    inference(resolution,[status(thm)],[f39,f38]) ).

fof(f47,plain,
    ! [X0,X1,X2,X3] :
      ( ~ product(X0,X1,identity)
      | ~ product(X1,X2,X3)
      | product(X0,X3,X2) ),
    inference(resolution,[status(thm)],[f39,f36]) ).

fof(f74,plain,
    ! [X0,X1,X2] :
      ( ~ product(X0,X1,X2)
      | product(inverse(X0),X2,X1) ),
    inference(resolution,[status(thm)],[f40,f47]) ).

fof(f126,plain,
    ! [X0] : product(inverse(inverse(X0)),identity,X0),
    inference(resolution,[status(thm)],[f74,f40]) ).

fof(f147,plain,
    ! [X0,X1,X2] :
      ( ~ product(inverse(inverse(X0)),X1,X2)
      | product(X0,X1,X2) ),
    inference(resolution,[status(thm)],[f126,f45]) ).

fof(f649,plain,
    ! [X0] : product(X0,identity,X0),
    inference(resolution,[status(thm)],[f147,f126]) ).

fof(f657,plain,
    $false,
    inference(resolution,[status(thm)],[f649,f41]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP029-2 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue Apr 30 00:32:25 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.6.0
% 0.20/0.37  % Refutation found
% 0.20/0.37  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.38  % Elapsed time: 0.029083 seconds
% 0.20/0.38  % CPU time: 0.119001 seconds
% 0.20/0.38  % Total memory used: 14.791 MB
% 0.20/0.38  % Net memory used: 14.436 MB
%------------------------------------------------------------------------------