%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP564-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n024.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 07:02:55 EDT 2022

% Result   : Unsatisfiable 0.59s 0.80s
% Output   : CNFRefutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   24 (  24 unt;   0 nHn;   4 RR)
%            Number of literals    :   24 (  23 equ;   3 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :   41 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    A = divide(divide(divide(B,inverse(A)),C),divide(B,C)),
    file('/tmp/MaedMax_8772') ).

cnf(eq_1,axiom,
    divide(A,inverse(B)) = multiply(A,B),
    file('/tmp/MaedMax_8772') ).

cnf(eq_2,negated_conjecture,
    multiply(a,b) != multiply(b,a),
    file('/tmp/MaedMax_8772') ).

cnf(eq_3,plain,
    divide(A,divide(divide(B,inverse(A)),divide(B,inverse(x101)))) = x101,
    inference(cp,[status(thm)],[eq_0,eq_0]) ).

cnf(eq_4,plain,
    divide(divide(divide(divide(divide(B,inverse(A)),C),inverse(x101)),divide(B,C)),A) = x101,
    inference(cp,[status(thm)],[eq_0,eq_0]) ).

cnf(eq_5,plain,
    A = divide(B,divide(divide(C,inverse(B)),divide(C,inverse(A)))),
    eq_3 ).

cnf(eq_6,plain,
    A = divide(divide(divide(divide(divide(B,inverse(C)),x3),inverse(A)),divide(B,x3)),C),
    eq_4 ).

cnf(eq_7,plain,
    divide(divide(A,divide(divide(divide(B,inverse(inverse(x103))),x3),divide(B,x3))),A) = x103,
    inference(cp,[status(thm)],[eq_6,eq_6]) ).

cnf(eq_8,plain,
    A = divide(divide(B,inverse(A)),B),
    inference(rw,[status(thm)],[eq_7,eq_0]) ).

cnf(eq_9,plain,
    divide(A,divide(inverse(x101),inverse(A))) = x101,
    inference(cp,[status(thm)],[eq_8,eq_8]) ).

cnf(eq_10,plain,
    divide(divide(A,x102),divide(divide(inverse(x101),inverse(A)),x102)) = x101,
    inference(cp,[status(thm)],[eq_8,eq_0]) ).

cnf(eq_11,plain,
    A = divide(divide(B,C),divide(divide(inverse(A),inverse(B)),C)),
    eq_10 ).

cnf(eq_12,plain,
    A = divide(B,divide(inverse(A),inverse(B))),
    eq_9 ).

cnf(eq_13,plain,
    divide(x100,A) = divide(inverse(A),inverse(x100)),
    inference(cp,[status(thm)],[eq_12,eq_5]) ).

cnf(eq_14,plain,
    divide(A,B) = divide(inverse(B),inverse(A)),
    eq_13 ).

cnf(eq_15,plain,
    A = divide(B,multiply(inverse(A),B)),
    inference(rw,[status(thm)],[eq_12,eq_1]) ).

cnf(eq_16,plain,
    divide(A,B) = multiply(inverse(B),A),
    inference(rw,[status(thm)],[eq_14,eq_1]) ).

cnf(eq_17,plain,
    multiply(A,B) = multiply(inverse(inverse(B)),A),
    inference(rw,[status(thm)],[eq_1,eq_16]) ).

cnf(eq_18,plain,
    divide(A,divide(A,B)) = B,
    inference(cp,[status(thm)],[eq_16,eq_15]) ).

cnf(eq_19,plain,
    A = divide(B,divide(B,A)),
    eq_18 ).

cnf(eq_20,negated_conjecture,
    multiply(inverse(inverse(a)),b) != multiply(a,b),
    inference(cp,[status(thm)],[eq_17,eq_2]) ).

cnf(eq_21,plain,
    A = inverse(inverse(A)),
    inference(cp,[status(thm)],[eq_11,eq_19]) ).

cnf(eq_22,negated_conjecture,
    multiply(a,b) != multiply(a,b),
    inference(cp,[status(thm)],[eq_21,eq_20]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_22]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GRP564-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.06/0.12  % Command  : run_maedmax %d %s
% 0.12/0.33  % Computer : n024.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Tue Jul 26 04:27:25 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.59/0.80  % SZS status Unsatisfiable
% 0.59/0.80  % SZS output start CNFRefutation for /tmp/MaedMax_8772
% See solution above
% 0.59/0.80  
%------------------------------------------------------------------------------