%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP486-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n004.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 07:02:49 EDT 2022

% Result   : Unsatisfiable 0.74s 0.92s
% Output   : CNFRefutation 0.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   84 (  84 unt;   0 nHn;  14 RR)
%            Number of literals    :   84 (  83 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    :   10 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :  119 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    A = double_divide(double_divide(B,double_divide(double_divide(double_divide(B,C),A),double_divide(C,identity))),double_divide(identity,identity)),
    file('/tmp/MaedMax_29910') ).

cnf(eq_1,axiom,
    double_divide(double_divide(A,B),identity) = multiply(B,A),
    file('/tmp/MaedMax_29910') ).

cnf(eq_2,axiom,
    double_divide(A,identity) = inverse(A),
    file('/tmp/MaedMax_29910') ).

cnf(eq_3,axiom,
    double_divide(A,inverse(A)) = identity,
    file('/tmp/MaedMax_29910') ).

cnf(eq_4,negated_conjecture,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    file('/tmp/MaedMax_29910') ).

cnf(eq_5,plain,
    A = double_divide(double_divide(B,double_divide(double_divide(double_divide(B,C),A),inverse(C))),inverse(identity)),
    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,plain,
    double_divide(double_divide(x100,A),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(x100,identity),C),A),double_divide(C,identity)),
    inference(cp,[status(thm)],[eq_0,eq_0]) ).

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

cnf(eq_9,plain,
    double_divide(double_divide(A,B),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(A,identity),C),B),double_divide(C,identity)),
    eq_7 ).

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

cnf(eq_11,plain,
    double_divide(double_divide(A,B),inverse(identity)) = double_divide(double_divide(double_divide(inverse(A),C),B),inverse(C)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_9,eq_2]),eq_2]),eq_2]) ).

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

cnf(eq_13,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_14,plain,
    double_divide(double_divide(x100,double_divide(identity,inverse(x101))),inverse(identity)) = inverse(double_divide(x100,x101)),
    inference(cp,[status(thm)],[eq_3,eq_5]) ).

cnf(eq_15,plain,
    double_divide(double_divide(A,double_divide(double_divide(identity,x102),inverse(inverse(A)))),inverse(identity)) = x102,
    inference(cp,[status(thm)],[eq_3,eq_5]) ).

cnf(eq_16,plain,
    double_divide(double_divide(A,double_divide(double_divide(inverse(A),x102),inverse(identity))),inverse(identity)) = x102,
    inference(cp,[status(thm)],[eq_2,eq_5]) ).

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

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

cnf(eq_19,plain,
    double_divide(double_divide(A,double_divide(identity,inverse(B))),inverse(identity)) = inverse(double_divide(A,B)),
    eq_14 ).

cnf(eq_20,plain,
    double_divide(double_divide(x100,double_divide(inverse(identity),inverse(inverse(x100)))),inverse(identity)) = identity,
    inference(cp,[status(thm)],[eq_2,eq_17]) ).

cnf(eq_21,plain,
    double_divide(double_divide(x100,double_divide(identity,inverse(identity))),inverse(identity)) = inverse(inverse(x100)),
    inference(cp,[status(thm)],[eq_3,eq_18]) ).

cnf(eq_22,plain,
    double_divide(double_divide(x100,double_divide(inverse(inverse(x100)),inverse(identity))),inverse(identity)) = identity,
    inference(cp,[status(thm)],[eq_2,eq_18]) ).

cnf(eq_23,plain,
    double_divide(inverse(double_divide(inverse(x100),x101)),inverse(x101)) = double_divide(double_divide(x100,identity),inverse(identity)),
    inference(cp,[status(thm)],[eq_2,eq_11]) ).

cnf(eq_24,plain,
    double_divide(inverse(A),inverse(identity)) = inverse(inverse(A)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_21,eq_3]),eq_2]) ).

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

cnf(eq_26,plain,
    double_divide(double_divide(A,double_divide(inverse(identity),inverse(inverse(A)))),inverse(identity)) = identity,
    eq_20 ).

cnf(eq_27,plain,
    double_divide(multiply(A,inverse(B)),inverse(A)) = double_divide(inverse(B),inverse(identity)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_23,eq_6]),eq_2]) ).

cnf(eq_28,plain,
    double_divide(double_divide(A,inverse(inverse(inverse(A)))),inverse(identity)) = identity,
    inference(rw,[status(thm)],[eq_25,eq_24]) ).

cnf(eq_29,plain,
    double_divide(inverse(double_divide(inverse(A),B)),inverse(B)) = inverse(inverse(A)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_27,eq_6]),eq_24]) ).

cnf(eq_30,plain,
    double_divide(double_divide(x100,double_divide(double_divide(double_divide(inverse(double_divide(x100,identity)),A),inverse(identity)),inverse(A))),inverse(identity)) = inverse(identity),
    inference(cp,[status(thm)],[eq_18,eq_12]) ).

cnf(eq_31,plain,
    double_divide(double_divide(A,double_divide(identity,inverse(x101))),inverse(identity)) = inverse(double_divide(double_divide(inverse(A),identity),x101)),
    inference(cp,[status(thm)],[eq_11,eq_19]) ).

cnf(eq_32,plain,
    double_divide(double_divide(x100,identity),inverse(identity)) = double_divide(inverse(identity),inverse(inverse(inverse(x100)))),
    inference(cp,[status(thm)],[eq_26,eq_18]) ).

cnf(eq_33,plain,
    double_divide(double_divide(A,inverse(inverse(inverse(A)))),inverse(identity)) = inverse(identity),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_30,eq_2]),eq_11]),eq_24]),eq_24]) ).

cnf(eq_34,plain,
    double_divide(inverse(identity),inverse(inverse(inverse(A)))) = inverse(inverse(A)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_32,eq_2]),eq_24]) ).

cnf(eq_35,plain,
    inverse(double_divide(A,B)) = inverse(double_divide(inverse(inverse(A)),B)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_31,eq_19]),eq_2]) ).

cnf(eq_36,plain,
    inverse(inverse(A)) = inverse(inverse(double_divide(inverse(A),identity))),
    inference(cp,[status(thm)],[eq_29,eq_24]) ).

cnf(eq_37,plain,
    inverse(identity) = identity,
    inference(cp,[status(thm)],[eq_33,eq_28]) ).

cnf(eq_38,plain,
    double_divide(inverse(double_divide(A,B)),inverse(B)) = inverse(inverse(inverse(A))),
    inference(cp,[status(thm)],[eq_35,eq_29]) ).

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

cnf(eq_40,plain,
    double_divide(identity,inverse(inverse(inverse(A)))) = inverse(inverse(A)),
    inference(rw,[status(thm)],[eq_34,eq_37]) ).

cnf(eq_41,plain,
    A = inverse(double_divide(B,inverse(double_divide(inverse(B),A)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_18,eq_37]),eq_37]),eq_2]),eq_2]) ).

cnf(eq_42,plain,
    double_divide(double_divide(double_divide(inverse(A),B),C),inverse(B)) = inverse(double_divide(A,C)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_9,eq_2]),eq_37]),eq_2]),eq_2]),eq_2]) ).

cnf(eq_43,plain,
    double_divide(inverse(double_divide(identity,x101)),inverse(x101)) = inverse(inverse(identity)),
    inference(cp,[status(thm)],[eq_37,eq_29]) ).

cnf(eq_44,plain,
    double_divide(inverse(double_divide(identity,A)),inverse(A)) = identity,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_43,eq_37]),eq_37]) ).

cnf(eq_45,plain,
    double_divide(A,inverse(inverse(double_divide(inverse(inverse(x100)),A)))) = inverse(inverse(x100)),
    inference(cp,[status(thm)],[eq_41,eq_29]) ).

cnf(eq_46,plain,
    double_divide(identity,inverse(inverse(A))) = inverse(inverse(inverse(A))),
    inference(cp,[status(thm)],[eq_39,eq_40]) ).

cnf(eq_47,plain,
    double_divide(inverse(identity),inverse(inverse(A))) = inverse(inverse(inverse(inverse(double_divide(identity,A))))),
    inference(cp,[status(thm)],[eq_44,eq_38]) ).

cnf(eq_48,plain,
    inverse(double_divide(inverse(A),inverse(double_divide(A,B)))) = B,
    inference(cp,[status(thm)],[eq_35,eq_41]) ).

cnf(eq_49,plain,
    inverse(double_divide(double_divide(identity,A),inverse(identity))) = inverse(A),
    inference(cp,[status(thm)],[eq_44,eq_41]) ).

cnf(eq_50,plain,
    inverse(double_divide(double_divide(A,B),inverse(inverse(inverse(inverse(A)))))) = inverse(B),
    inference(cp,[status(thm)],[eq_38,eq_41]) ).

cnf(eq_51,plain,
    inverse(A) = inverse(double_divide(double_divide(B,A),inverse(inverse(B)))),
    inference(rw,[status(thm)],[eq_50,eq_39]) ).

cnf(eq_52,plain,
    double_divide(identity,inverse(inverse(A))) = inverse(inverse(double_divide(identity,A))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_47,eq_37]),eq_39]) ).

cnf(eq_53,plain,
    A = inverse(double_divide(inverse(B),inverse(double_divide(B,A)))),
    eq_48 ).

cnf(eq_54,plain,
    double_divide(A,inverse(inverse(double_divide(B,A)))) = inverse(inverse(B)),
    inference(rw,[status(thm)],[eq_45,eq_35]) ).

cnf(eq_55,plain,
    inverse(A) = inverse(inverse(double_divide(identity,A))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_49,eq_37]),eq_2]) ).

cnf(eq_56,plain,
    double_divide(identity,inverse(inverse(A))) = inverse(A),
    inference(rw,[status(thm)],[eq_52,eq_55]) ).

cnf(eq_57,plain,
    inverse(A) = inverse(inverse(inverse(A))),
    inference(rw,[status(thm)],[eq_46,eq_56]) ).

cnf(eq_58,plain,
    double_divide(identity,inverse(A)) = inverse(inverse(double_divide(identity,double_divide(identity,A)))),
    inference(cp,[status(thm)],[eq_55,eq_52]) ).

cnf(eq_59,plain,
    double_divide(identity,inverse(A)) = inverse(inverse(double_divide(identity,double_divide(inverse(B),inverse(double_divide(B,A)))))),
    inference(cp,[status(thm)],[eq_53,eq_52]) ).

cnf(eq_60,plain,
    A = double_divide(identity,inverse(A)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_59,eq_55]),eq_53]) ).

cnf(eq_61,plain,
    double_divide(identity,inverse(A)) = inverse(double_divide(identity,A)),
    inference(rw,[status(thm)],[eq_58,eq_55]) ).

cnf(eq_62,plain,
    inverse(double_divide(identity,A)) = A,
    inference(cp,[status(thm)],[eq_61,eq_60]) ).

cnf(eq_63,plain,
    inverse(inverse(A)) = inverse(double_divide(B,inverse(double_divide(inverse(B),A)))),
    inference(cp,[status(thm)],[eq_41,eq_57]) ).

cnf(eq_64,plain,
    A = inverse(inverse(A)),
    inference(rw,[status(thm)],[eq_63,eq_41]) ).

cnf(eq_65,plain,
    double_divide(identity,A) = inverse(A),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_52,eq_64]),eq_62]) ).

cnf(eq_66,plain,
    double_divide(inverse(double_divide(A,B)),inverse(B)) = inverse(A),
    inference(rw,[status(thm)],[eq_38,eq_64]) ).

cnf(eq_67,plain,
    inverse(A) = inverse(double_divide(double_divide(B,A),B)),
    inference(rw,[status(thm)],[eq_51,eq_64]) ).

cnf(eq_68,plain,
    A = double_divide(B,double_divide(A,B)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_54,eq_64]),eq_64]) ).

cnf(eq_69,plain,
    inverse(A) = double_divide(B,inverse(double_divide(inverse(B),A))),
    inference(cp,[status(thm)],[eq_41,eq_64]) ).

cnf(eq_70,plain,
    double_divide(A,inverse(double_divide(inverse(A),B))) = inverse(B),
    eq_69 ).

cnf(eq_71,plain,
    double_divide(x100,inverse(A)) = inverse(double_divide(A,inverse(x100))),
    inference(cp,[status(thm)],[eq_68,eq_70]) ).

cnf(eq_72,plain,
    double_divide(inverse(A),inverse(B)) = inverse(double_divide(B,A)),
    inference(cp,[status(thm)],[eq_67,eq_66]) ).

cnf(eq_73,plain,
    inverse(double_divide(inverse(B),A)) = inverse(inverse(double_divide(inverse(A),B))),
    inference(cp,[status(thm)],[eq_70,eq_67]) ).

cnf(eq_74,plain,
    double_divide(A,inverse(B)) = inverse(double_divide(B,inverse(A))),
    eq_71 ).

cnf(eq_75,plain,
    double_divide(inverse(A),B) = inverse(double_divide(inverse(B),A)),
    inference(rw,[status(thm)],[eq_73,eq_64]) ).

cnf(eq_76,negated_conjecture,
    double_divide(identity,double_divide(c3,inverse(double_divide(b3,a3)))) != inverse(double_divide(inverse(double_divide(c3,b3)),a3)),
    inference(cp,[status(thm)],[eq_65,eq_13]) ).

cnf(eq_77,plain,
    double_divide(double_divide(inverse(A),x102),inverse(inverse(B))) = inverse(double_divide(double_divide(A,B),x102)),
    inference(cp,[status(thm)],[eq_66,eq_42]) ).

cnf(eq_78,plain,
    double_divide(double_divide(inverse(A),B),C) = inverse(double_divide(double_divide(A,C),B)),
    inference(rw,[status(thm)],[eq_77,eq_64]) ).

cnf(eq_79,negated_conjecture,
    double_divide(double_divide(b3,a3),inverse(c3)) != double_divide(inverse(a3),double_divide(c3,b3)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_76,eq_65]),eq_74]),eq_75]) ).

cnf(eq_80,plain,
    inverse(double_divide(inverse(double_divide(B,A)),x102)) = double_divide(double_divide(inverse(inverse(A)),x102),inverse(B)),
    inference(cp,[status(thm)],[eq_72,eq_78]) ).

cnf(eq_81,plain,
    double_divide(double_divide(A,B),inverse(C)) = double_divide(inverse(B),double_divide(C,A)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_80,eq_75]),eq_64]) ).

cnf(eq_82,negated_conjecture,
    double_divide(double_divide(b3,a3),inverse(c3)) != double_divide(double_divide(b3,a3),inverse(c3)),
    inference(cp,[status(thm)],[eq_81,eq_79]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_82]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : GRP486-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.12  % Command  : run_maedmax %d %s
% 0.11/0.33  % Computer : n004.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Tue Jul 26 04:06:36 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.74/0.92  % SZS status Unsatisfiable
% 0.74/0.92  % SZS output start CNFRefutation for /tmp/MaedMax_29910
% See solution above
% 0.74/0.92  
%------------------------------------------------------------------------------