%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : GRP139-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n012.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 20:19:31 EDT 2024

% Result   : Unsatisfiable 0.11s 0.35s
% Output   : CNFRefutation 0.11s
% 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(f4,axiom,
    ! [X,Y] : greatest_lower_bound(X,Y) = greatest_lower_bound(Y,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ! [X,Y,Z] : greatest_lower_bound(X,greatest_lower_bound(Y,Z)) = greatest_lower_bound(greatest_lower_bound(X,Y),Z),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

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

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

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

fof(f22,plain,
    ! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,X0),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f24,plain,
    ! [X0,X1,X2] : greatest_lower_bound(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(greatest_lower_bound(X0,X1),X2),
    inference(cnf_transformation,[status(esa)],[f6]) ).

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

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

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

fof(f37,plain,
    greatest_lower_bound(c,b) = c,
    inference(forward_demodulation,[status(thm)],[f22,f35]) ).

fof(f38,plain,
    greatest_lower_bound(a,greatest_lower_bound(b,c)) != c,
    inference(forward_demodulation,[status(thm)],[f24,f36]) ).

fof(f39,plain,
    greatest_lower_bound(a,greatest_lower_bound(c,b)) != c,
    inference(forward_demodulation,[status(thm)],[f22,f38]) ).

fof(f40,plain,
    greatest_lower_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
% 0.03/0.12  % Problem  : GRP139-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.34  % Computer : n012.cluster.edu
% 0.11/0.34  % Model    : x86_64 x86_64
% 0.11/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34  % Memory   : 8042.1875MB
% 0.11/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34  % CPULimit : 300
% 0.11/0.34  % WCLimit  : 300
% 0.11/0.34  % DateTime : Tue Apr 30 00:16:57 EDT 2024
% 0.11/0.34  % CPUTime  : 
% 0.11/0.35  % Drodi V3.6.0
% 0.11/0.35  % Refutation found
% 0.11/0.35  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.35  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.36  % Elapsed time: 0.014030 seconds
% 0.11/0.36  % CPU time: 0.021238 seconds
% 0.11/0.36  % Total memory used: 2.470 MB
% 0.11/0.36  % Net memory used: 2.378 MB
%------------------------------------------------------------------------------