%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : LAT088-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n009.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 Jul 26 07:05:32 EDT 2022

% Result   : Unsatisfiable 0.20s 0.51s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   16 (  16 unt;   0 nHn;   3 RR)
%            Number of literals    :   16 (  15 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    7 (   2 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   :   28 (   7 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    A = join(meet(A,B),meet(A,join(A,B))),
    file('/tmp/MaedMax_30808') ).

cnf(eq_1,axiom,
    A = join(meet(B,A),meet(A,join(B,A))),
    file('/tmp/MaedMax_30808') ).

cnf(eq_2,axiom,
    A = meet(meet(join(A,B),join(C,A)),A),
    file('/tmp/MaedMax_30808') ).

cnf(eq_3,axiom,
    A = join(join(meet(A,B),meet(C,A)),A),
    file('/tmp/MaedMax_30808') ).

cnf(eq_4,negated_conjecture,
    meet(a,a) != a,
    file('/tmp/MaedMax_30808') ).

cnf(eq_5,plain,
    meet(meet(A,join(x102,meet(B,A))),meet(B,A)) = meet(B,A),
    inference(cp,[status(thm)],[eq_1,eq_2]) ).

cnf(eq_6,plain,
    meet(meet(join(A,x101),A),A) = A,
    inference(cp,[status(thm)],[eq_3,eq_2]) ).

cnf(eq_7,plain,
    A = meet(meet(join(A,B),A),A),
    eq_6 ).

cnf(eq_8,plain,
    meet(A,B) = meet(meet(B,join(C,meet(A,B))),meet(A,B)),
    eq_5 ).

cnf(eq_9,plain,
    meet(meet(A,join(x101,meet(meet(join(A,B),join(C,A)),A))),A) = meet(meet(join(A,B),join(C,A)),A),
    inference(cp,[status(thm)],[eq_2,eq_8]) ).

cnf(eq_10,plain,
    meet(meet(A,meet(A,B)),meet(A,B)) = meet(A,B),
    inference(cp,[status(thm)],[eq_0,eq_7]) ).

cnf(eq_11,plain,
    A = meet(meet(A,join(B,A)),A),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_9,eq_2]),eq_2]) ).

cnf(eq_12,plain,
    meet(meet(meet(A,join(B,A)),A),meet(meet(A,join(B,A)),A)) = meet(meet(A,join(B,A)),A),
    inference(cp,[status(thm)],[eq_11,eq_10]) ).

cnf(eq_13,plain,
    A = meet(A,A),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_12,eq_11]),eq_11]),eq_11]) ).

cnf(eq_14,negated_conjecture,
    a != a,
    inference(cp,[status(thm)],[eq_13,eq_4]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_14]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LAT088-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.12  % Command  : run_maedmax %d %s
% 0.12/0.34  % Computer : n009.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue Jul 26 05:07:21 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.20/0.51  % SZS status Unsatisfiable
% 0.20/0.51  % SZS output start CNFRefutation for /tmp/MaedMax_30808
% See solution above
% 0.20/0.51  
%------------------------------------------------------------------------------