%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : GRP020-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n028.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 20:18:48 EDT 2024

% Result   : Unsatisfiable 0.10s 0.34s
% Output   : CNFRefutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   12 (   8 unt;   0 def)
%            Number of atoms       :   19 (   5 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   18 (  11   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   20 (  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [X] : product(inverse(X),X,identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ! [X,Y] : product(X,Y,multiply(X,Y)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ! [X,Y,Z,W] :
      ( ~ product(X,Y,Z)
      | ~ product(X,Y,W)
      | Z = W ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,negated_conjecture,
    multiply(inverse(a),a) != identity,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f12,plain,
    ! [X0] : product(inverse(X0),X0,identity),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f14,plain,
    ! [X0,X1] : product(X0,X1,multiply(X0,X1)),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f15,plain,
    ! [Z,W] :
      ( ! [X,Y] :
          ( ~ product(X,Y,Z)
          | ~ product(X,Y,W) )
      | Z = W ),
    inference(miniscoping,[status(esa)],[f6]) ).

fof(f16,plain,
    ! [X0,X1,X2,X3] :
      ( ~ product(X0,X1,X2)
      | ~ product(X0,X1,X3)
      | X2 = X3 ),
    inference(cnf_transformation,[status(esa)],[f15]) ).

fof(f21,plain,
    multiply(inverse(a),a) != identity,
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( ~ product(X0,X1,multiply(inverse(a),a))
      | ~ product(X0,X1,identity) ),
    inference(resolution,[status(thm)],[f16,f21]) ).

fof(f26,plain,
    ~ product(inverse(a),a,identity),
    inference(resolution,[status(thm)],[f22,f14]) ).

fof(f27,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f26,f12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : GRP020-1 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.33  % Computer : n028.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 Apr 30 00:46:14 EDT 2024
% 0.10/0.33  % CPUTime  : 
% 0.10/0.34  % Drodi V3.6.0
% 0.10/0.34  % Refutation found
% 0.10/0.34  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.34  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.35  % Elapsed time: 0.020258 seconds
% 0.10/0.35  % CPU time: 0.013800 seconds
% 0.10/0.35  % Total memory used: 2.207 MB
% 0.10/0.35  % Net memory used: 2.154 MB
%------------------------------------------------------------------------------