%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : LAT088-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n025.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 20:25:18 EDT 2024

% Result   : Unsatisfiable 0.14s 0.36s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   16 (  16 unt;   0 def)
%            Number of atoms       :   16 (  15 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :   30 (  30   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [A,B] : join(meet(A,B),meet(A,join(A,B))) = A,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [A,B,C] : meet(meet(join(A,B),join(C,A)),A) = A,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ! [A,B,C] : join(join(meet(A,B),meet(C,A)),A) = A,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,negated_conjecture,
    meet(a,a) != a,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,plain,
    ! [X0,X1] : join(meet(X0,X1),meet(X0,join(X0,X1))) = X0,
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f10,plain,
    ! [X0,X1,X2] : meet(meet(join(X0,X1),join(X2,X0)),X0) = X0,
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f11,plain,
    ! [X0,X1,X2] : join(join(meet(X0,X1),meet(X2,X0)),X0) = X0,
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f12,plain,
    meet(a,a) != a,
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f25,plain,
    ! [X0,X1] : meet(meet(join(X0,X1),X0),X0) = X0,
    inference(paramodulation,[status(thm)],[f11,f10]) ).

fof(f37,plain,
    ! [X0,X1] : meet(meet(X0,meet(X0,X1)),meet(X0,X1)) = meet(X0,X1),
    inference(paramodulation,[status(thm)],[f7,f25]) ).

fof(f108,plain,
    ! [X0,X1,X2] : meet(meet(meet(join(X0,X1),join(X2,X0)),X0),meet(meet(join(X0,X1),join(X2,X0)),X0)) = meet(meet(join(X0,X1),join(X2,X0)),X0),
    inference(paramodulation,[status(thm)],[f10,f37]) ).

fof(f109,plain,
    ! [X0,X1,X2] : meet(X0,meet(meet(join(X0,X1),join(X2,X0)),X0)) = meet(meet(join(X0,X1),join(X2,X0)),X0),
    inference(forward_demodulation,[status(thm)],[f10,f108]) ).

fof(f110,plain,
    ! [X0,X1,X2] : meet(X0,X0) = meet(meet(join(X0,X1),join(X2,X0)),X0),
    inference(forward_demodulation,[status(thm)],[f10,f109]) ).

fof(f111,plain,
    ! [X0] : meet(X0,X0) = X0,
    inference(forward_demodulation,[status(thm)],[f10,f110]) ).

fof(f164,plain,
    a != a,
    inference(backward_demodulation,[status(thm)],[f111,f12]) ).

fof(f165,plain,
    $false,
    inference(trivial_equality_resolution,[status(esa)],[f164]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : LAT088-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35  % Computer : n025.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 : Mon Apr 29 20:16:11 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Drodi V3.6.0
% 0.14/0.36  % Refutation found
% 0.14/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.37  % Elapsed time: 0.020671 seconds
% 0.14/0.37  % CPU time: 0.070127 seconds
% 0.14/0.37  % Total memory used: 4.710 MB
% 0.14/0.37  % Net memory used: 4.675 MB
%------------------------------------------------------------------------------