%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP446-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %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 Jul 26 07:02:45 EDT 2022

% Result   : Unsatisfiable 0.42s 0.62s
% Output   : CNFRefutation 0.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   27 (  27 unt;   0 nHn;   6 RR)
%            Number of literals    :   27 (  26 equ;   4 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   40 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    A = divide(B,divide(divide(divide(divide(B,B),A),C),divide(divide(divide(B,B),B),C))),
    file('/tmp/MaedMax_25166') ).

cnf(eq_1,axiom,
    divide(A,divide(divide(B,B),C)) = multiply(A,C),
    file('/tmp/MaedMax_25166') ).

cnf(eq_2,axiom,
    divide(divide(A,A),B) = inverse(B),
    file('/tmp/MaedMax_25166') ).

cnf(eq_3,negated_conjecture,
    multiply(multiply(inverse(b2),b2),a2) != a2,
    file('/tmp/MaedMax_25166') ).

cnf(eq_4,plain,
    divide(A,inverse(B)) = multiply(A,B),
    inference(rw,[status(thm)],[eq_1,eq_2]) ).

cnf(eq_5,plain,
    A = divide(B,divide(divide(inverse(A),C),divide(inverse(B),C))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_0,eq_2]),eq_2]) ).

cnf(eq_6,plain,
    divide(inverse(divide(A,A)),x101) = inverse(x101),
    inference(cp,[status(thm)],[eq_2,eq_2]) ).

cnf(eq_7,plain,
    divide(inverse(divide(A,A)),B) = inverse(B),
    eq_6 ).

cnf(eq_8,plain,
    divide(x100,inverse(divide(inverse(x100),inverse(x101)))) = x101,
    inference(cp,[status(thm)],[eq_2,eq_5]) ).

cnf(eq_9,plain,
    divide(x100,divide(inverse(B),divide(inverse(x100),B))) = divide(A,A),
    inference(cp,[status(thm)],[eq_7,eq_5]) ).

cnf(eq_10,plain,
    divide(divide(A,A),divide(divide(inverse(x101),B),inverse(B))) = x101,
    inference(cp,[status(thm)],[eq_7,eq_5]) ).

cnf(eq_11,plain,
    A = divide(B,inverse(divide(inverse(B),inverse(A)))),
    eq_8 ).

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

cnf(eq_13,negated_conjecture,
    multiply(divide(inverse(b2),inverse(b2)),a2) != a2,
    inference(cp,[status(thm)],[eq_4,eq_3]) ).

cnf(eq_14,negated_conjecture,
    inverse(inverse(a2)) != a2,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_13,eq_4]),eq_2]) ).

cnf(eq_15,plain,
    A = inverse(divide(divide(inverse(A),B),inverse(B))),
    inference(rw,[status(thm)],[eq_10,eq_2]) ).

cnf(eq_16,plain,
    divide(A,A) = divide(x102,x102),
    inference(cp,[status(thm)],[eq_12,eq_12]) ).

cnf(eq_17,plain,
    divide(A,A) = divide(B,B),
    eq_16 ).

cnf(eq_18,plain,
    divide(x101,divide(B,B)) = x101,
    inference(cp,[status(thm)],[eq_17,eq_5]) ).

cnf(eq_19,plain,
    divide(x100,inverse(divide(B,B))) = x100,
    inference(cp,[status(thm)],[eq_17,eq_11]) ).

cnf(eq_20,plain,
    A = divide(A,divide(B,B)),
    eq_18 ).

cnf(eq_21,plain,
    A = divide(A,inverse(divide(B,B))),
    eq_19 ).

cnf(eq_22,plain,
    inverse(divide(inverse(x100),divide(B,B))) = x100,
    inference(cp,[status(thm)],[eq_21,eq_15]) ).

cnf(eq_23,plain,
    A = inverse(divide(inverse(A),divide(B,B))),
    eq_22 ).

cnf(eq_24,plain,
    A = inverse(inverse(A)),
    inference(rw,[status(thm)],[eq_23,eq_20]) ).

cnf(eq_25,negated_conjecture,
    a2 != a2,
    inference(cp,[status(thm)],[eq_24,eq_14]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_25]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GRP446-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.13  % Command  : run_maedmax %d %s
% 0.12/0.33  % Computer : n025.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 04:28:29 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.42/0.62  % SZS status Unsatisfiable
% 0.42/0.62  % SZS output start CNFRefutation for /tmp/MaedMax_25166
% See solution above
% 0.42/0.62  
%------------------------------------------------------------------------------