%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GRP166-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n001.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 12:10:47 EDT 2023

% Result   : Unsatisfiable 0.15s 0.41s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   19 (  19 unt;   0 def)
%            Number of atoms       :   19 (  18 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    5 (   5   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   22 (;  22   !;   0   ?)

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

fof(f5,axiom,
    ! [X,Y] : least_upper_bound(X,Y) = least_upper_bound(Y,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f14,axiom,
    ! [Y,Z,X] : multiply(least_upper_bound(Y,Z),X) = least_upper_bound(multiply(Y,X),multiply(Z,X)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f17,hypothesis,
    least_upper_bound(b,identity) = b,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f18,negated_conjecture,
    least_upper_bound(a,multiply(b,a)) != multiply(b,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f19,plain,
    ! [X0] : multiply(identity,X0) = X0,
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f23,plain,
    ! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f32,plain,
    ! [X0,X1,X2] : multiply(least_upper_bound(X0,X1),X2) = least_upper_bound(multiply(X0,X2),multiply(X1,X2)),
    inference(cnf_transformation,[status(esa)],[f14]) ).

fof(f35,plain,
    least_upper_bound(b,identity) = b,
    inference(cnf_transformation,[status(esa)],[f17]) ).

fof(f36,plain,
    least_upper_bound(a,multiply(b,a)) != multiply(b,a),
    inference(cnf_transformation,[status(esa)],[f18]) ).

fof(f37,plain,
    least_upper_bound(identity,b) = b,
    inference(forward_demodulation,[status(thm)],[f23,f35]) ).

fof(f183,plain,
    ! [X0,X1,X2] : multiply(least_upper_bound(X0,X1),X2) = least_upper_bound(multiply(X1,X2),multiply(X0,X2)),
    inference(paramodulation,[status(thm)],[f23,f32]) ).

fof(f184,plain,
    ! [X0,X1,X2] : multiply(least_upper_bound(X0,X1),X2) = multiply(least_upper_bound(X1,X0),X2),
    inference(forward_demodulation,[status(thm)],[f32,f183]) ).

fof(f382,plain,
    ! [X0,X1] : multiply(least_upper_bound(X0,identity),X1) = least_upper_bound(multiply(X0,X1),X1),
    inference(paramodulation,[status(thm)],[f19,f32]) ).

fof(f383,plain,
    ! [X0,X1] : multiply(least_upper_bound(X0,identity),X1) = least_upper_bound(X1,multiply(X0,X1)),
    inference(forward_demodulation,[status(thm)],[f23,f382]) ).

fof(f2010,plain,
    multiply(least_upper_bound(b,identity),a) != multiply(b,a),
    inference(backward_demodulation,[status(thm)],[f383,f36]) ).

fof(f2011,plain,
    multiply(least_upper_bound(identity,b),a) != multiply(b,a),
    inference(forward_demodulation,[status(thm)],[f184,f2010]) ).

fof(f2012,plain,
    multiply(b,a) != multiply(b,a),
    inference(forward_demodulation,[status(thm)],[f37,f2011]) ).

fof(f2013,plain,
    $false,
    inference(trivial_equality_resolution,[status(esa)],[f2012]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : GRP166-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.06/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32  % Computer : n001.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 : Tue May 30 12:02:45 EDT 2023
% 0.10/0.32  % CPUTime  : 
% 0.10/0.32  % Drodi V3.5.1
% 0.15/0.41  % Refutation found
% 0.15/0.41  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.41  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.41  % Elapsed time: 0.088599 seconds
% 0.15/0.41  % CPU time: 0.174398 seconds
% 0.15/0.41  % Memory used: 3.408 MB
%------------------------------------------------------------------------------