%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP192-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n015.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 07:02:24 EDT 2022

% Result   : Unsatisfiable 0.46s 0.69s
% Output   : CNFRefutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   21 (  21 unt;   0 nHn;   7 RR)
%            Number of literals    :   21 (  20 equ;   5 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   20 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    X = multiply(identity,X),
    file('/tmp/MaedMax_15212') ).

cnf(eq_1,axiom,
    identity = multiply(inverse(X),X),
    file('/tmp/MaedMax_15212') ).

cnf(eq_2,axiom,
    least_upper_bound(X,Y) = least_upper_bound(Y,X),
    file('/tmp/MaedMax_15212') ).

cnf(eq_3,axiom,
    multiply(least_upper_bound(X,Y),Z) = least_upper_bound(multiply(X,Z),multiply(Y,Z)),
    file('/tmp/MaedMax_15212') ).

cnf(eq_4,axiom,
    X = least_upper_bound(identity,X),
    file('/tmp/MaedMax_15212') ).

cnf(eq_5,negated_conjecture,
    multiply(a,b) != multiply(b,a),
    file('/tmp/MaedMax_15212') ).

cnf(eq_6,plain,
    least_upper_bound(X,multiply(x102,X)) = multiply(least_upper_bound(identity,x102),X),
    inference(cp,[status(thm)],[eq_0,eq_3]) ).

cnf(eq_7,plain,
    least_upper_bound(identity,multiply(x102,X)) = multiply(least_upper_bound(inverse(X),x102),X),
    inference(cp,[status(thm)],[eq_1,eq_3]) ).

cnf(eq_8,plain,
    X = least_upper_bound(X,identity),
    inference(cp,[status(thm)],[eq_4,eq_2]) ).

cnf(eq_9,plain,
    multiply(X,Y) = least_upper_bound(Y,multiply(X,Y)),
    inference(rw,[status(thm)],[eq_6,eq_4]) ).

cnf(eq_10,plain,
    multiply(X,Y) = multiply(least_upper_bound(inverse(Y),X),Y),
    inference(rw,[status(thm)],[eq_7,eq_4]) ).

cnf(eq_11,plain,
    least_upper_bound(X,identity) = multiply(inverse(X),X),
    inference(cp,[status(thm)],[eq_1,eq_9]) ).

cnf(eq_12,plain,
    identity = least_upper_bound(X,identity),
    inference(rw,[status(thm)],[eq_11,eq_1]) ).

cnf(eq_13,negated_conjecture,
    multiply(least_upper_bound(inverse(a),b),a) != multiply(a,b),
    inference(cp,[status(thm)],[eq_10,eq_5]) ).

cnf(eq_14,negated_conjecture,
    multiply(least_upper_bound(b,inverse(a)),a) != multiply(a,b),
    inference(rw,[status(thm)],[eq_13,eq_2]) ).

cnf(eq_15,plain,
    X = identity,
    inference(rw,[status(thm)],[eq_12,eq_8]) ).

cnf(eq_16,plain,
    identity = multiply(x101,x100),
    inference(cp,[status(thm)],[eq_15,eq_10]) ).

cnf(eq_17,plain,
    identity = multiply(X,Y),
    eq_16 ).

cnf(eq_18,negated_conjecture,
    identity != multiply(a,b),
    inference(cp,[status(thm)],[eq_15,eq_14]) ).

cnf(eq_19,negated_conjecture,
    identity != identity,
    inference(rw,[status(thm)],[eq_18,eq_17]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_19]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP192-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13  % Command  : run_maedmax %d %s
% 0.12/0.34  % Computer : n015.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 04:41:55 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.46/0.69  % SZS status Unsatisfiable
% 0.46/0.69  % SZS output start CNFRefutation for /tmp/MaedMax_15212
% See solution above
% 0.46/0.69  
%------------------------------------------------------------------------------