%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : GRP159-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n014.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 20:19:33 EDT 2024

% Result   : Unsatisfiable 0.14s 0.37s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   18 (  18 unt;   0 def)
%            Number of atoms       :   18 (  17 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   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    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   20 (  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,axiom,
    ! [X,Y] : greatest_lower_bound(X,Y) = greatest_lower_bound(Y,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(f10,axiom,
    ! [X,Y] : least_upper_bound(X,greatest_lower_bound(X,Y)) = X,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f12,axiom,
    ! [X,Y,Z] : multiply(X,least_upper_bound(Y,Z)) = least_upper_bound(multiply(X,Y),multiply(X,Z)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f16,hypothesis,
    greatest_lower_bound(a,b) = a,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f17,negated_conjecture,
    least_upper_bound(multiply(c,a),multiply(c,b)) != multiply(c,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f21,plain,
    ! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,X0),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f22,plain,
    ! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f27,plain,
    ! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X0,X1)) = X0,
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f29,plain,
    ! [X0,X1,X2] : multiply(X0,least_upper_bound(X1,X2)) = least_upper_bound(multiply(X0,X1),multiply(X0,X2)),
    inference(cnf_transformation,[status(esa)],[f12]) ).

fof(f33,plain,
    greatest_lower_bound(a,b) = a,
    inference(cnf_transformation,[status(esa)],[f16]) ).

fof(f34,plain,
    least_upper_bound(multiply(c,a),multiply(c,b)) != multiply(c,b),
    inference(cnf_transformation,[status(esa)],[f17]) ).

fof(f69,plain,
    multiply(c,least_upper_bound(a,b)) != multiply(c,b),
    inference(backward_demodulation,[status(thm)],[f29,f34]) ).

fof(f96,plain,
    ! [X0,X1] : X0 = least_upper_bound(X0,greatest_lower_bound(X1,X0)),
    inference(paramodulation,[status(thm)],[f21,f27]) ).

fof(f100,plain,
    b = least_upper_bound(b,a),
    inference(paramodulation,[status(thm)],[f33,f96]) ).

fof(f113,plain,
    b = least_upper_bound(a,b),
    inference(forward_demodulation,[status(thm)],[f22,f100]) ).

fof(f210,plain,
    multiply(c,b) != multiply(c,b),
    inference(forward_demodulation,[status(thm)],[f113,f69]) ).

fof(f211,plain,
    $false,
    inference(equality_resolution,[status(esa)],[f210]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GRP159-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35  % Computer : n014.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Tue Apr 30 00:19:04 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.14/0.36  % Drodi V3.6.0
% 0.14/0.37  % Refutation found
% 0.14/0.37  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.37  % Elapsed time: 0.018898 seconds
% 0.14/0.37  % CPU time: 0.045917 seconds
% 0.14/0.37  % Total memory used: 3.279 MB
% 0.14/0.37  % Net memory used: 3.258 MB
%------------------------------------------------------------------------------