%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GRP146-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n023.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 12:10:44 EDT 2023

% Result   : Unsatisfiable 0.09s 0.33s
% Output   : CNFRefutation 0.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   16 (  16 unt;   0 def)
%            Number of atoms       :   16 (  15 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    6 (   6   ~;   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    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   10 (;  10   !;   0   ?)

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

fof(f7,axiom,
    ! [X,Y,Z] : least_upper_bound(X,least_upper_bound(Y,Z)) = least_upper_bound(least_upper_bound(X,Y),Z),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

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

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

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

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

fof(f25,plain,
    ! [X0,X1,X2] : least_upper_bound(X0,least_upper_bound(X1,X2)) = least_upper_bound(least_upper_bound(X0,X1),X2),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f34,plain,
    least_upper_bound(a,c) = c,
    inference(cnf_transformation,[status(esa)],[f16]) ).

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

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

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

fof(f38,plain,
    least_upper_bound(a,least_upper_bound(b,c)) != c,
    inference(forward_demodulation,[status(thm)],[f25,f36]) ).

fof(f39,plain,
    least_upper_bound(a,least_upper_bound(c,b)) != c,
    inference(forward_demodulation,[status(thm)],[f23,f38]) ).

fof(f40,plain,
    least_upper_bound(a,c) != c,
    inference(forward_demodulation,[status(thm)],[f37,f39]) ).

fof(f41,plain,
    c != c,
    inference(forward_demodulation,[status(thm)],[f34,f40]) ).

fof(f42,plain,
    $false,
    inference(trivial_equality_resolution,[status(esa)],[f41]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11  % Problem  : GRP146-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.05/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.32  % Computer : n023.cluster.edu
% 0.09/0.32  % Model    : x86_64 x86_64
% 0.09/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.32  % Memory   : 8042.1875MB
% 0.09/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.32  % CPULimit : 300
% 0.09/0.32  % WCLimit  : 300
% 0.09/0.32  % DateTime : Tue May 30 11:48:08 EDT 2023
% 0.09/0.32  % CPUTime  : 
% 0.09/0.32  % Drodi V3.5.1
% 0.09/0.33  % Refutation found
% 0.09/0.33  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.33  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.54  % Elapsed time: 0.011124 seconds
% 0.15/0.54  % CPU time: 0.011702 seconds
% 0.15/0.54  % Memory used: 220.706 KB
%------------------------------------------------------------------------------