%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : BOO011-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n004.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 20:12:54 EDT 2024

% Result   : Unsatisfiable 0.10s 0.33s
% Output   : CNFRefutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   11 (  11 unt;   0 def)
%            Number of atoms       :   11 (  10 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X,Y] : add(X,Y) = add(Y,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ! [X] : add(X,additive_identity) = X,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ! [X] : add(X,inverse(X)) = multiplicative_identity,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,negated_conjecture,
    inverse(additive_identity) != multiplicative_identity,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10,plain,
    ! [X0,X1] : add(X0,X1) = add(X1,X0),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f14,plain,
    ! [X0] : add(X0,additive_identity) = X0,
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f16,plain,
    ! [X0] : add(X0,inverse(X0)) = multiplicative_identity,
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f18,plain,
    inverse(additive_identity) != multiplicative_identity,
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f19,plain,
    ! [X0] : add(additive_identity,X0) = X0,
    inference(paramodulation,[status(thm)],[f14,f10]) ).

fof(f23,plain,
    inverse(additive_identity) = multiplicative_identity,
    inference(paramodulation,[status(thm)],[f16,f19]) ).

fof(f31,plain,
    $false,
    inference(resolution,[status(thm)],[f23,f18]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11  % Problem  : BOO011-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.05/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32  % Computer : n004.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 300
% 0.10/0.32  % DateTime : Mon Apr 29 22:28:48 EDT 2024
% 0.10/0.32  % CPUTime  : 
% 0.10/0.33  % Drodi V3.6.0
% 0.10/0.33  % Refutation found
% 0.10/0.33  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.33  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.34  % Elapsed time: 0.016198 seconds
% 0.10/0.34  % CPU time: 0.013652 seconds
% 0.10/0.34  % Total memory used: 1.035 MB
% 0.10/0.34  % Net memory used: 980.240 KB
%------------------------------------------------------------------------------