%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP567-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n028.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 1.00s 1.17s
% Output   : CNFRefutation 1.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   86 (  86 unt;   0 nHn;  19 RR)
%            Number of literals    :   86 (  85 equ;  11 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   :  127 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    A = double_divide(double_divide(B,double_divide(double_divide(A,double_divide(B,C)),double_divide(identity,C))),double_divide(identity,identity)),
    file('/tmp/MaedMax_2679') ).

cnf(eq_1,axiom,
    double_divide(double_divide(A,B),identity) = multiply(B,A),
    file('/tmp/MaedMax_2679') ).

cnf(eq_2,axiom,
    double_divide(A,identity) = inverse(A),
    file('/tmp/MaedMax_2679') ).

cnf(eq_3,axiom,
    double_divide(A,inverse(A)) = identity,
    file('/tmp/MaedMax_2679') ).

cnf(eq_4,negated_conjecture,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    file('/tmp/MaedMax_2679') ).

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

cnf(eq_8,plain,
    double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))) = double_divide(double_divide(identity,double_divide(B,double_divide(identity,identity))),double_divide(identity,identity)),
    eq_7 ).

cnf(eq_9,plain,
    double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))) = double_divide(double_divide(identity,double_divide(B,inverse(identity))),inverse(identity)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_8,eq_2]),eq_2]) ).

cnf(eq_10,negated_conjecture,
    inverse(double_divide(inverse(double_divide(c3,b3)),a3)) != inverse(double_divide(c3,inverse(double_divide(b3,a3)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_4,eq_6]),eq_6]),eq_6]),eq_6]) ).

cnf(eq_11,plain,
    double_divide(double_divide(A,double_divide(double_divide(x101,identity),double_divide(identity,inverse(A)))),inverse(identity)) = x101,
    inference(cp,[status(thm)],[eq_3,eq_5]) ).

cnf(eq_12,plain,
    double_divide(double_divide(x100,double_divide(double_divide(x101,double_divide(x100,inverse(identity))),identity)),inverse(identity)) = x101,
    inference(cp,[status(thm)],[eq_3,eq_5]) ).

cnf(eq_13,plain,
    double_divide(double_divide(x100,double_divide(double_divide(x101,double_divide(x100,identity)),inverse(identity))),inverse(identity)) = x101,
    inference(cp,[status(thm)],[eq_2,eq_5]) ).

cnf(eq_14,plain,
    A = double_divide(double_divide(B,inverse(double_divide(A,double_divide(B,inverse(identity))))),inverse(identity)),
    inference(rw,[status(thm)],[eq_12,eq_2]) ).

cnf(eq_15,plain,
    A = double_divide(double_divide(B,double_divide(double_divide(A,inverse(B)),inverse(identity))),inverse(identity)),
    inference(rw,[status(thm)],[eq_13,eq_2]) ).

cnf(eq_16,plain,
    A = double_divide(double_divide(B,double_divide(inverse(A),double_divide(identity,inverse(B)))),inverse(identity)),
    inference(rw,[status(thm)],[eq_11,eq_2]) ).

cnf(eq_17,plain,
    inverse(A) = multiply(inverse(identity),double_divide(B,double_divide(inverse(A),double_divide(identity,inverse(B))))),
    inference(cp,[status(thm)],[eq_16,eq_6]) ).

cnf(eq_18,plain,
    inverse(A) = multiply(inverse(identity),double_divide(B,double_divide(double_divide(A,inverse(B)),inverse(identity)))),
    inference(cp,[status(thm)],[eq_15,eq_6]) ).

cnf(eq_19,plain,
    double_divide(double_divide(A,double_divide(identity,inverse(identity))),inverse(identity)) = A,
    inference(cp,[status(thm)],[eq_3,eq_15]) ).

cnf(eq_20,plain,
    double_divide(double_divide(identity,double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),inverse(identity))),inverse(identity)) = double_divide(identity,double_divide(B,inverse(identity))),
    inference(cp,[status(thm)],[eq_9,eq_15]) ).

cnf(eq_21,plain,
    A = double_divide(inverse(A),inverse(identity)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_19,eq_3]),eq_2]) ).

cnf(eq_22,plain,
    double_divide(double_divide(identity,A),inverse(identity)) = double_divide(identity,double_divide(A,inverse(identity))),
    inference(rw,[status(thm)],[eq_20,eq_5]) ).

cnf(eq_23,plain,
    multiply(inverse(identity),double_divide(A,double_divide(inverse(B),double_divide(identity,inverse(A))))) = inverse(B),
    eq_17 ).

cnf(eq_24,plain,
    multiply(inverse(identity),double_divide(A,double_divide(double_divide(B,inverse(A)),inverse(identity)))) = inverse(B),
    eq_18 ).

cnf(eq_25,plain,
    double_divide(inverse(A),double_divide(double_divide(x101,A),double_divide(identity,inverse(identity)))) = double_divide(double_divide(identity,double_divide(x101,inverse(identity))),inverse(identity)),
    inference(cp,[status(thm)],[eq_21,eq_9]) ).

cnf(eq_26,plain,
    double_divide(double_divide(double_divide(A,double_divide(B,inverse(identity))),A),inverse(identity)) = B,
    inference(cp,[status(thm)],[eq_14,eq_15]) ).

cnf(eq_27,plain,
    double_divide(double_divide(identity,double_divide(A,inverse(identity))),inverse(identity)) = inverse(A),
    inference(cp,[status(thm)],[eq_21,eq_15]) ).

cnf(eq_28,plain,
    double_divide(double_divide(inverse(A),inverse(double_divide(x101,A))),inverse(identity)) = x101,
    inference(cp,[status(thm)],[eq_21,eq_14]) ).

cnf(eq_29,plain,
    double_divide(inverse(identity),inverse(identity)) = double_divide(identity,double_divide(identity,inverse(identity))),
    inference(cp,[status(thm)],[eq_2,eq_22]) ).

cnf(eq_30,plain,
    A = double_divide(double_divide(inverse(B),inverse(double_divide(A,B))),inverse(identity)),
    eq_28 ).

cnf(eq_31,plain,
    identity = inverse(identity),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_29,eq_21]),eq_3]),eq_2]) ).

cnf(eq_32,plain,
    A = double_divide(double_divide(double_divide(B,double_divide(A,inverse(identity))),B),inverse(identity)),
    eq_26 ).

cnf(eq_33,plain,
    double_divide(identity,double_divide(double_divide(A,inverse(identity)),inverse(identity))) = inverse(A),
    inference(rw,[status(thm)],[eq_27,eq_22]) ).

cnf(eq_34,plain,
    double_divide(identity,double_divide(double_divide(A,inverse(identity)),inverse(identity))) = double_divide(inverse(B),inverse(double_divide(A,B))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_25,eq_3]),eq_2]),eq_22]) ).

cnf(eq_35,plain,
    double_divide(inverse(x100),identity) = x100,
    inference(cp,[status(thm)],[eq_31,eq_21]) ).

cnf(eq_36,plain,
    double_divide(double_divide(inverse(x100),inverse(double_divide(x101,x100))),identity) = x101,
    inference(cp,[status(thm)],[eq_31,eq_30]) ).

cnf(eq_37,plain,
    double_divide(inverse(B),inverse(double_divide(A,B))) = inverse(A),
    inference(cp,[status(thm)],[eq_34,eq_33]) ).

cnf(eq_38,plain,
    double_divide(identity,double_divide(double_divide(x100,identity),inverse(identity))) = inverse(x100),
    inference(cp,[status(thm)],[eq_31,eq_33]) ).

cnf(eq_39,plain,
    A = inverse(double_divide(inverse(B),inverse(double_divide(A,B)))),
    inference(rw,[status(thm)],[eq_36,eq_2]) ).

cnf(eq_40,plain,
    double_divide(inverse(A),inverse(double_divide(B,A))) = inverse(B),
    eq_37 ).

cnf(eq_41,plain,
    A = inverse(inverse(A)),
    inference(rw,[status(thm)],[eq_35,eq_2]) ).

cnf(eq_42,plain,
    double_divide(identity,A) = inverse(A),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_38,eq_2]),eq_21]) ).

cnf(eq_43,negated_conjecture,
    double_divide(identity,double_divide(double_divide(double_divide(c3,inverse(double_divide(b3,a3))),inverse(identity)),inverse(identity))) != inverse(double_divide(inverse(double_divide(c3,b3)),a3)),
    inference(cp,[status(thm)],[eq_33,eq_10]) ).

cnf(eq_44,plain,
    A = inverse(double_divide(B,inverse(double_divide(A,inverse(B))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_15,eq_31]),eq_31]),eq_2]),eq_2]) ).

cnf(eq_45,plain,
    A = inverse(double_divide(B,double_divide(double_divide(A,double_divide(B,C)),inverse(C)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_5,eq_42]),eq_31]),eq_2]) ).

cnf(eq_46,plain,
    A = inverse(double_divide(double_divide(B,inverse(A)),B)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_32,eq_31]),eq_31]),eq_2]),eq_2]) ).

cnf(eq_47,plain,
    double_divide(A,inverse(double_divide(B,inverse(A)))) = inverse(B),
    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_24,eq_31]),eq_31]),eq_2]),eq_6]),eq_2]),eq_41]) ).

cnf(eq_48,plain,
    double_divide(A,double_divide(inverse(B),A)) = inverse(B),
    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_23,eq_31]),eq_42]),eq_41]),eq_6]),eq_2]),eq_41]) ).

cnf(eq_49,plain,
    double_divide(inverse(A),A) = identity,
    inference(cp,[status(thm)],[eq_41,eq_3]) ).

cnf(eq_50,plain,
    double_divide(x100,double_divide(A,x100)) = inverse(inverse(A)),
    inference(cp,[status(thm)],[eq_41,eq_48]) ).

cnf(eq_51,plain,
    double_divide(x100,A) = inverse(double_divide(inverse(x100),inverse(A))),
    inference(cp,[status(thm)],[eq_46,eq_47]) ).

cnf(eq_52,plain,
    double_divide(inverse(inverse(double_divide(A,B))),A) = inverse(inverse(B)),
    inference(cp,[status(thm)],[eq_39,eq_40]) ).

cnf(eq_53,plain,
    inverse(double_divide(identity,double_divide(double_divide(x101,inverse(A)),inverse(A)))) = x101,
    inference(cp,[status(thm)],[eq_42,eq_45]) ).

cnf(eq_54,plain,
    inverse(double_divide(x100,A)) = double_divide(inverse(x100),inverse(A)),
    inference(cp,[status(thm)],[eq_46,eq_44]) ).

cnf(eq_55,plain,
    A = double_divide(double_divide(B,A),B),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_52,eq_41]),eq_41]) ).

cnf(eq_56,plain,
    double_divide(inverse(A),inverse(B)) = inverse(double_divide(A,B)),
    eq_54 ).

cnf(eq_57,plain,
    double_divide(A,B) = inverse(double_divide(inverse(A),inverse(B))),
    eq_51 ).

cnf(eq_58,plain,
    A = double_divide(double_divide(A,inverse(B)),inverse(B)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_53,eq_42]),eq_41]) ).

cnf(eq_59,plain,
    A = double_divide(B,double_divide(A,B)),
    inference(rw,[status(thm)],[eq_50,eq_41]) ).

cnf(eq_60,negated_conjecture,
    double_divide(double_divide(inverse(A),A),double_divide(double_divide(double_divide(c3,inverse(double_divide(b3,a3))),inverse(identity)),inverse(identity))) != inverse(double_divide(inverse(double_divide(c3,b3)),a3)),
    inference(cp,[status(thm)],[eq_49,eq_43]) ).

cnf(eq_61,negated_conjecture,
    double_divide(double_divide(inverse(A),A),double_divide(c3,inverse(double_divide(b3,a3)))) != inverse(double_divide(inverse(double_divide(c3,b3)),a3)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_60,eq_31]),eq_31]),eq_2]),eq_2]),eq_41]) ).

cnf(eq_62,plain,
    double_divide(B,inverse(A)) = inverse(double_divide(A,inverse(B))),
    inference(cp,[status(thm)],[eq_58,eq_47]) ).

cnf(eq_63,plain,
    double_divide(inverse(B),A) = double_divide(A,inverse(B)),
    inference(cp,[status(thm)],[eq_58,eq_59]) ).

cnf(eq_64,plain,
    double_divide(A,inverse(B)) = inverse(double_divide(B,inverse(A))),
    eq_62 ).

cnf(eq_65,plain,
    inverse(double_divide(A,B)) = inverse(double_divide(B,inverse(inverse(A)))),
    inference(cp,[status(thm)],[eq_56,eq_64]) ).

cnf(eq_66,plain,
    inverse(double_divide(A,B)) = inverse(double_divide(B,A)),
    inference(rw,[status(thm)],[eq_65,eq_41]) ).

cnf(eq_67,negated_conjecture,
    inverse(double_divide(a3,inverse(double_divide(c3,b3)))) != double_divide(double_divide(inverse(x100),x100),double_divide(c3,inverse(double_divide(b3,a3)))),
    inference(cp,[status(thm)],[eq_63,eq_61]) ).

cnf(eq_68,plain,
    double_divide(identity,double_divide(A,B)) = double_divide(identity,double_divide(B,A)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_66,eq_42]),eq_42]) ).

cnf(eq_69,plain,
    multiply(A,B) = multiply(B,A),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_68,eq_42]),eq_6]),eq_42]),eq_6]) ).

cnf(eq_70,plain,
    double_divide(A,B) = multiply(inverse(B),inverse(A)),
    inference(rw,[status(thm)],[eq_57,eq_6]) ).

cnf(eq_71,plain,
    A = multiply(multiply(B,A),inverse(B)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_39,eq_6]),eq_6]) ).

cnf(eq_72,negated_conjecture,
    multiply(multiply(a3,b3),c3) != multiply(multiply(b3,c3),a3),
    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_67,eq_6]),eq_6]),eq_49]),eq_6]),eq_42]),eq_6]) ).

cnf(eq_73,negated_conjecture,
    multiply(multiply(c3,b3),a3) != multiply(multiply(a3,b3),c3),
    inference(cp,[status(thm)],[eq_69,eq_72]) ).

cnf(eq_74,negated_conjecture,
    multiply(multiply(a3,b3),c3) != multiply(multiply(c3,b3),a3),
    eq_73 ).

cnf(eq_75,plain,
    multiply(A,inverse(multiply(B,A))) = inverse(B),
    inference(cp,[status(thm)],[eq_71,eq_71]) ).

cnf(eq_76,plain,
    multiply(inverse(B),inverse(A)) = inverse(multiply(B,A)),
    inference(cp,[status(thm)],[eq_71,eq_75]) ).

cnf(eq_77,plain,
    multiply(inverse(A),inverse(B)) = inverse(multiply(A,B)),
    eq_76 ).

cnf(eq_78,plain,
    inverse(double_divide(x100,double_divide(A,inverse(x102)))) = double_divide(double_divide(x100,x102),A),
    inference(cp,[status(thm)],[eq_55,eq_45]) ).

cnf(eq_79,plain,
    double_divide(double_divide(A,B),C) = inverse(double_divide(A,double_divide(C,inverse(B)))),
    eq_78 ).

cnf(eq_80,plain,
    multiply(multiply(A,inverse(B)),C) = multiply(inverse(B),multiply(A,C)),
    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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_79,eq_70]),eq_70]),eq_77]),eq_41]),eq_41]),eq_70]),eq_41]),eq_70]),eq_77]),eq_41]),eq_77]),eq_77]),eq_41]),eq_41]) ).

cnf(eq_81,plain,
    multiply(multiply(x100,A),x102) = multiply(inverse(inverse(A)),multiply(x100,x102)),
    inference(cp,[status(thm)],[eq_41,eq_80]) ).

cnf(eq_82,plain,
    multiply(A,multiply(B,C)) = multiply(multiply(B,A),C),
    inference(rw,[status(thm)],[eq_81,eq_41]) ).

cnf(eq_83,negated_conjecture,
    multiply(b3,multiply(a3,c3)) != multiply(b3,multiply(c3,a3)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_74,eq_82]),eq_82]) ).

cnf(eq_84,negated_conjecture,
    multiply(b3,multiply(a3,c3)) != multiply(b3,multiply(a3,c3)),
    inference(cp,[status(thm)],[eq_69,eq_83]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_84]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12  % Problem  : GRP567-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.12  % Command  : run_maedmax %d %s
% 0.12/0.33  % Computer : n028.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 04:21:47 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.00/1.17  % SZS status Unsatisfiable
% 1.00/1.17  % SZS output start CNFRefutation for /tmp/MaedMax_2679
% See solution above
% 1.00/1.18  
%------------------------------------------------------------------------------