%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP554-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n021.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 07:02:54 EDT 2022

% Result   : Unsatisfiable 0.39s 0.58s
% Output   : CNFRefutation 0.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   26 (  26 unt;   0 nHn;   7 RR)
%            Number of literals    :   26 (  25 equ;   6 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    :   12 (  12 usr;   9 con; 0-2 aty)
%            Number of variables   :   47 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    A = divide(divide(B,inverse(divide(A,divide(B,C)))),C),
    file('/tmp/MaedMax_1037') ).

cnf(eq_1,axiom,
    divide(A,inverse(B)) = multiply(A,B),
    file('/tmp/MaedMax_1037') ).

cnf(eq_2,negated_conjecture,
    multiply(multiply(inverse(b2),b2),a2) != a2,
    file('/tmp/MaedMax_1037') ).

cnf(eq_3,plain,
    A = divide(multiply(B,divide(A,divide(B,C))),C),
    inference(rw,[status(thm)],[eq_0,eq_1]) ).

cnf(eq_4,negated_conjecture,
    divide(divide(inverse(b2),inverse(b2)),inverse(a2)) != a2,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_2,eq_1]),eq_1]) ).

cnf(eq_5,plain,
    divide(divide(x100,inverse(A)),x102) = divide(B,inverse(divide(A,divide(B,divide(x100,x102))))),
    inference(cp,[status(thm)],[eq_0,eq_0]) ).

cnf(eq_6,plain,
    divide(divide(divide(B,inverse(divide(A,divide(B,C)))),inverse(divide(x101,A))),C) = x101,
    inference(cp,[status(thm)],[eq_0,eq_0]) ).

cnf(eq_7,plain,
    A = divide(divide(divide(B,inverse(divide(C,divide(B,x3)))),inverse(divide(A,C))),x3),
    eq_6 ).

cnf(eq_8,plain,
    divide(A,inverse(divide(B,divide(A,divide(C,x3))))) = divide(divide(C,inverse(B)),x3),
    eq_5 ).

cnf(eq_9,plain,
    divide(divide(B,inverse(divide(A,divide(B,divide(x102,x103))))),inverse(divide(x101,A))) = divide(divide(x102,inverse(x101)),x103),
    inference(cp,[status(thm)],[eq_0,eq_8]) ).

cnf(eq_10,plain,
    divide(A,inverse(divide(x103,A))) = x103,
    inference(cp,[status(thm)],[eq_0,eq_7]) ).

cnf(eq_11,plain,
    divide(divide(divide(x100,inverse(divide(C,divide(x100,x102)))),inverse(A)),x102) = divide(B,inverse(divide(A,divide(B,C)))),
    inference(cp,[status(thm)],[eq_0,eq_7]) ).

cnf(eq_12,plain,
    divide(divide(A,inverse(B)),C) = divide(divide(divide(A,inverse(x3)),C),inverse(divide(B,x3))),
    inference(rw,[status(thm)],[eq_9,eq_8]) ).

cnf(eq_13,plain,
    divide(A,inverse(divide(B,divide(A,C)))) = divide(divide(divide(x3,inverse(divide(C,divide(x3,x4)))),inverse(B)),x4),
    eq_11 ).

cnf(eq_14,plain,
    A = divide(B,inverse(divide(A,B))),
    eq_10 ).

cnf(eq_15,plain,
    divide(inverse(divide(A,B)),inverse(A)) = B,
    inference(cp,[status(thm)],[eq_14,eq_14]) ).

cnf(eq_16,plain,
    divide(A,inverse(x103)) = divide(x104,inverse(divide(x103,divide(x104,A)))),
    inference(cp,[status(thm)],[eq_0,eq_13]) ).

cnf(eq_17,plain,
    A = divide(inverse(divide(B,A)),inverse(B)),
    eq_15 ).

cnf(eq_18,plain,
    divide(A,inverse(B)) = divide(C,inverse(divide(B,divide(C,A)))),
    eq_16 ).

cnf(eq_19,negated_conjecture,
    divide(divide(divide(inverse(b2),inverse(x3)),inverse(a2)),inverse(divide(b2,x3))) != a2,
    inference(cp,[status(thm)],[eq_12,eq_4]) ).

cnf(eq_20,negated_conjecture,
    divide(divide(divide(inverse(b2),inverse(A)),inverse(a2)),inverse(divide(b2,A))) != a2,
    eq_19 ).

cnf(eq_21,plain,
    A = divide(divide(B,inverse(A)),B),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_3,eq_1]),eq_18]) ).

cnf(eq_22,plain,
    divide(inverse(A),inverse(B)) = inverse(divide(A,B)),
    inference(cp,[status(thm)],[eq_14,eq_17]) ).

cnf(eq_23,negated_conjecture,
    multiply(multiply(multiply(inverse(b2),A),a2),divide(b2,A)) != a2,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_20,eq_1]),eq_1]),eq_1]) ).

cnf(eq_24,negated_conjecture,
    a2 != a2,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_23,eq_1]),eq_1]),eq_1]),eq_22]),eq_21]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_24]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP554-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13  % Command  : run_maedmax %d %s
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue Jul 26 04:05:52 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.39/0.58  % SZS status Unsatisfiable
% 0.39/0.58  % SZS output start CNFRefutation for /tmp/MaedMax_1037
% See solution above
% 0.39/0.58  
%------------------------------------------------------------------------------