%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP498-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n011.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 07:02:50 EDT 2022

% Result   : Unsatisfiable 0.71s 0.91s
% Output   : CNFRefutation 0.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   52 (  52 unt;   0 nHn;  11 RR)
%            Number of literals    :   52 (  51 equ;   5 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    :   11 (  11 usr;   8 con; 0-2 aty)
%            Number of variables   :   76 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    A = double_divide(double_divide(identity,double_divide(B,double_divide(C,identity))),double_divide(double_divide(C,double_divide(A,B)),identity)),
    file('/tmp/MaedMax_29306') ).

cnf(eq_1,axiom,
    double_divide(double_divide(A,B),identity) = multiply(B,A),
    file('/tmp/MaedMax_29306') ).

cnf(eq_2,axiom,
    double_divide(A,identity) = inverse(A),
    file('/tmp/MaedMax_29306') ).

cnf(eq_3,axiom,
    identity = double_divide(A,inverse(A)),
    file('/tmp/MaedMax_29306') ).

cnf(eq_4,negated_conjecture,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    file('/tmp/MaedMax_29306') ).

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

cnf(eq_6,plain,
    multiply(A,B) = inverse(double_divide(B,A)),
    inference(rw,[status(thm)],[eq_1,eq_2]) ).

cnf(eq_7,negated_conjecture,
    double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity) != double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_4,eq_1]),eq_1]),eq_1]),eq_1]) ).

cnf(eq_8,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(identity,double_divide(B,double_divide(C,identity))),identity))),double_divide(A,identity)) = double_divide(C,double_divide(A,B)),
    inference(cp,[status(thm)],[eq_0,eq_0]) ).

cnf(eq_9,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(C,double_divide(A,B)),identity),double_divide(x101,identity))),double_divide(double_divide(x101,A),identity)) = double_divide(identity,double_divide(B,double_divide(C,identity))),
    inference(cp,[status(thm)],[eq_0,eq_0]) ).

cnf(eq_10,plain,
    double_divide(A,double_divide(B,C)) = double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(identity,double_divide(C,double_divide(A,identity))),identity))),double_divide(B,identity)),
    eq_8 ).

cnf(eq_11,plain,
    double_divide(identity,double_divide(A,double_divide(B,identity))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(B,double_divide(C,A)),identity),double_divide(x3,identity))),double_divide(double_divide(x3,C),identity)),
    eq_9 ).

cnf(eq_12,plain,
    double_divide(A,double_divide(B,C)) = double_divide(double_divide(identity,double_divide(identity,inverse(double_divide(identity,double_divide(C,inverse(A)))))),inverse(B)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_10,eq_2]),eq_2]),eq_2]) ).

cnf(eq_13,plain,
    double_divide(identity,double_divide(A,inverse(B))) = double_divide(double_divide(identity,double_divide(inverse(double_divide(B,double_divide(C,A))),inverse(x3))),inverse(double_divide(x3,C))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_11,eq_2]),eq_2]),eq_2]),eq_2]) ).

cnf(eq_14,plain,
    inverse(identity) = identity,
    inference(cp,[status(thm)],[eq_5,eq_3]) ).

cnf(eq_15,plain,
    double_divide(double_divide(identity,double_divide(inverse(A),inverse(x101))),inverse(double_divide(x101,identity))) = A,
    inference(cp,[status(thm)],[eq_3,eq_5]) ).

cnf(eq_16,plain,
    double_divide(double_divide(identity,double_divide(identity,inverse(x101))),inverse(double_divide(x101,inverse(A)))) = A,
    inference(cp,[status(thm)],[eq_2,eq_5]) ).

cnf(eq_17,plain,
    A = double_divide(double_divide(identity,double_divide(inverse(A),inverse(B))),inverse(inverse(B))),
    inference(rw,[status(thm)],[eq_15,eq_2]) ).

cnf(eq_18,plain,
    A = double_divide(double_divide(identity,double_divide(identity,inverse(B))),inverse(double_divide(B,inverse(A)))),
    eq_16 ).

cnf(eq_19,plain,
    double_divide(double_divide(identity,double_divide(identity,identity)),inverse(double_divide(identity,inverse(x101)))) = x101,
    inference(cp,[status(thm)],[eq_14,eq_18]) ).

cnf(eq_20,plain,
    double_divide(double_divide(identity,double_divide(identity,inverse(A))),inverse(identity)) = A,
    inference(cp,[status(thm)],[eq_3,eq_18]) ).

cnf(eq_21,plain,
    double_divide(double_divide(identity,double_divide(identity,inverse(double_divide(identity,double_divide(x100,identity))))),inverse(x102)) = double_divide(identity,double_divide(x102,x100)),
    inference(cp,[status(thm)],[eq_14,eq_12]) ).

cnf(eq_22,plain,
    double_divide(double_divide(identity,double_divide(identity,inverse(x101))),inverse(inverse(x101))) = identity,
    inference(cp,[status(thm)],[eq_14,eq_17]) ).

cnf(eq_23,plain,
    double_divide(double_divide(identity,double_divide(inverse(x100),inverse(identity))),inverse(identity)) = x100,
    inference(cp,[status(thm)],[eq_14,eq_17]) ).

cnf(eq_24,plain,
    double_divide(double_divide(identity,double_divide(inverse(double_divide(x100,double_divide(identity,x102))),inverse(A))),inverse(inverse(A))) = double_divide(identity,double_divide(x102,inverse(x100))),
    inference(cp,[status(thm)],[eq_2,eq_13]) ).

cnf(eq_25,plain,
    identity = double_divide(double_divide(identity,double_divide(identity,inverse(A))),inverse(inverse(A))),
    eq_22 ).

cnf(eq_26,plain,
    A = double_divide(double_divide(identity,double_divide(inverse(A),inverse(identity))),inverse(identity)),
    eq_23 ).

cnf(eq_27,plain,
    A = double_divide(double_divide(identity,double_divide(identity,inverse(A))),inverse(identity)),
    eq_20 ).

cnf(eq_28,plain,
    A = double_divide(identity,inverse(double_divide(identity,inverse(A)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_19,eq_2]),eq_3]) ).

cnf(eq_29,plain,
    A = inverse(double_divide(identity,inverse(inverse(A)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_26,eq_14]),eq_14]),eq_2]),eq_2]) ).

cnf(eq_30,plain,
    A = inverse(double_divide(identity,double_divide(identity,inverse(A)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_27,eq_14]),eq_2]) ).

cnf(eq_31,plain,
    double_divide(double_divide(identity,double_divide(inverse(inverse(A)),inverse(x101))),inverse(double_divide(x101,identity))) = double_divide(identity,double_divide(identity,inverse(A))),
    inference(cp,[status(thm)],[eq_25,eq_5]) ).

cnf(eq_32,plain,
    double_divide(A,double_divide(identity,B)) = double_divide(identity,double_divide(B,inverse(A))),
    inference(rw,[status(thm)],[eq_24,eq_17]) ).

cnf(eq_33,plain,
    double_divide(identity,double_divide(A,B)) = double_divide(double_divide(identity,B),inverse(A)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_21,eq_2]),eq_28]) ).

cnf(eq_34,plain,
    double_divide(identity,double_divide(identity,inverse(A))) = inverse(A),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_31,eq_2]),eq_17]) ).

cnf(eq_35,plain,
    double_divide(identity,A) = inverse(A),
    inference(cp,[status(thm)],[eq_29,eq_28]) ).

cnf(eq_36,plain,
    inverse(inverse(A)) = A,
    inference(cp,[status(thm)],[eq_34,eq_30]) ).

cnf(eq_37,plain,
    identity = double_divide(inverse(A),A),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_25,eq_35]),eq_36]),eq_36]),eq_35]) ).

cnf(eq_38,plain,
    double_divide(A,double_divide(B,C)) = double_divide(double_divide(C,inverse(A)),inverse(B)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_12,eq_35]),eq_36]),eq_35]),eq_35]),eq_36]) ).

cnf(eq_39,plain,
    double_divide(inverse(A),inverse(B)) = inverse(double_divide(B,A)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_33,eq_35]),eq_35]) ).

cnf(eq_40,plain,
    double_divide(A,inverse(B)) = inverse(double_divide(B,inverse(A))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_32,eq_35]),eq_35]) ).

cnf(eq_41,plain,
    double_divide(inverse(A),inverse(B)) = multiply(A,B),
    inference(rw,[status(thm)],[eq_39,eq_6]) ).

cnf(eq_42,plain,
    double_divide(double_divide(x100,A),inverse(x102)) = double_divide(inverse(A),double_divide(x102,x100)),
    inference(cp,[status(thm)],[eq_36,eq_38]) ).

cnf(eq_43,plain,
    double_divide(double_divide(A,B),inverse(C)) = double_divide(inverse(B),double_divide(C,A)),
    eq_42 ).

cnf(eq_44,negated_conjecture,
    double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),double_divide(inverse(A),A)) != double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity),
    inference(cp,[status(thm)],[eq_37,eq_7]) ).

cnf(eq_45,negated_conjecture,
    double_divide(double_divide(multiply(b3,c3),a3),double_divide(inverse(A),A)) != multiply(multiply(a3,b3),c3),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_44,eq_2]),eq_6]),eq_2]),eq_6]),eq_2]),eq_6]) ).

cnf(eq_46,plain,
    double_divide(inverse(x100),A) = multiply(x100,inverse(A)),
    inference(cp,[status(thm)],[eq_36,eq_41]) ).

cnf(eq_47,plain,
    double_divide(inverse(A),B) = inverse(double_divide(inverse(B),A)),
    inference(rw,[status(thm)],[eq_46,eq_6]) ).

cnf(eq_48,plain,
    double_divide(inverse(x100),inverse(double_divide(B,A))) = double_divide(double_divide(inverse(B),x100),inverse(inverse(A))),
    inference(cp,[status(thm)],[eq_39,eq_43]) ).

cnf(eq_49,plain,
    double_divide(double_divide(inverse(A),B),C) = inverse(double_divide(double_divide(A,C),B)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_48,eq_39]),eq_36]) ).

cnf(eq_50,negated_conjecture,
    double_divide(inverse(a3),double_divide(c3,b3)) != double_divide(inverse(a3),double_divide(c3,b3)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_45,eq_6]),eq_37]),eq_49]),eq_2]),eq_47]),eq_6]),eq_6]),eq_40]),eq_43]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_50]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : GRP498-1 : TPTP v8.1.0. Released v2.6.0.
% 0.04/0.12  % Command  : run_maedmax %d %s
% 0.12/0.33  % Computer : n011.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 04:08:24 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.71/0.91  % SZS status Unsatisfiable
% 0.71/0.91  % SZS output start CNFRefutation for /tmp/MaedMax_29306
% See solution above
% 0.71/0.91  
%------------------------------------------------------------------------------