%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP495-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n016.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 0.66s 0.84s
% Output   : CNFRefutation 0.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   61 (  61 unt;   0 nHn;  12 RR)
%            Number of literals    :   61 (  60 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   :   86 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    A = double_divide(double_divide(identity,B),double_divide(double_divide(double_divide(A,C),double_divide(identity,identity)),double_divide(B,C))),
    file('/tmp/MaedMax_23920') ).

cnf(eq_1,axiom,
    double_divide(double_divide(A,B),identity) = multiply(B,A),
    file('/tmp/MaedMax_23920') ).

cnf(eq_2,axiom,
    double_divide(A,identity) = inverse(A),
    file('/tmp/MaedMax_23920') ).

cnf(eq_3,axiom,
    identity = double_divide(A,inverse(A)),
    file('/tmp/MaedMax_23920') ).

cnf(eq_4,negated_conjecture,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    file('/tmp/MaedMax_23920') ).

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

cnf(eq_6,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_7,plain,
    double_divide(double_divide(identity,x100),double_divide(double_divide(A,double_divide(identity,identity)),double_divide(x100,double_divide(double_divide(double_divide(A,C),double_divide(identity,identity)),double_divide(B,C))))) = double_divide(identity,B),
    inference(cp,[status(thm)],[eq_0,eq_0]) ).

cnf(eq_8,plain,
    double_divide(double_divide(identity,double_divide(identity,B)),double_divide(double_divide(double_divide(x101,double_divide(double_divide(double_divide(A,C),double_divide(identity,identity)),double_divide(B,C))),double_divide(identity,identity)),A)) = x101,
    inference(cp,[status(thm)],[eq_0,eq_0]) ).

cnf(eq_9,plain,
    A = double_divide(double_divide(identity,double_divide(identity,B)),double_divide(double_divide(double_divide(A,double_divide(double_divide(double_divide(C,x3),double_divide(identity,identity)),double_divide(B,x3))),double_divide(identity,identity)),C)),
    eq_8 ).

cnf(eq_10,plain,
    double_divide(identity,A) = double_divide(double_divide(identity,B),double_divide(double_divide(C,double_divide(identity,identity)),double_divide(B,double_divide(double_divide(double_divide(C,x3),double_divide(identity,identity)),double_divide(A,x3))))),
    eq_7 ).

cnf(eq_11,plain,
    A = double_divide(double_divide(identity,double_divide(identity,B)),double_divide(double_divide(double_divide(A,double_divide(double_divide(double_divide(C,x3),inverse(identity)),double_divide(B,x3))),inverse(identity)),C)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_9,eq_2]),eq_2]) ).

cnf(eq_12,plain,
    double_divide(identity,A) = double_divide(double_divide(identity,B),double_divide(double_divide(C,inverse(identity)),double_divide(B,double_divide(double_divide(double_divide(C,x3),inverse(identity)),double_divide(A,x3))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_10,eq_2]),eq_2]) ).

cnf(eq_13,plain,
    double_divide(identity,double_divide(double_divide(double_divide(x101,x102),inverse(identity)),double_divide(inverse(identity),x102))) = x101,
    inference(cp,[status(thm)],[eq_3,eq_5]) ).

cnf(eq_14,plain,
    double_divide(inverse(identity),double_divide(double_divide(double_divide(x101,x102),inverse(identity)),double_divide(identity,x102))) = x101,
    inference(cp,[status(thm)],[eq_2,eq_5]) ).

cnf(eq_15,plain,
    double_divide(double_divide(identity,x100),double_divide(double_divide(identity,inverse(identity)),double_divide(x100,inverse(A)))) = A,
    inference(cp,[status(thm)],[eq_3,eq_5]) ).

cnf(eq_16,plain,
    double_divide(double_divide(identity,A),double_divide(double_divide(double_divide(x101,inverse(A)),inverse(identity)),identity)) = x101,
    inference(cp,[status(thm)],[eq_3,eq_5]) ).

cnf(eq_17,plain,
    double_divide(double_divide(identity,A),double_divide(double_divide(double_divide(x101,identity),inverse(identity)),inverse(A))) = x101,
    inference(cp,[status(thm)],[eq_2,eq_5]) ).

cnf(eq_18,plain,
    A = double_divide(double_divide(identity,B),inverse(double_divide(double_divide(A,inverse(B)),inverse(identity)))),
    inference(rw,[status(thm)],[eq_16,eq_2]) ).

cnf(eq_19,plain,
    A = double_divide(double_divide(identity,B),double_divide(double_divide(inverse(A),inverse(identity)),inverse(B))),
    inference(rw,[status(thm)],[eq_17,eq_2]) ).

cnf(eq_20,plain,
    A = double_divide(inverse(identity),double_divide(double_divide(double_divide(A,B),inverse(identity)),double_divide(identity,B))),
    eq_14 ).

cnf(eq_21,plain,
    A = double_divide(identity,double_divide(double_divide(double_divide(A,B),inverse(identity)),double_divide(inverse(identity),B))),
    eq_13 ).

cnf(eq_22,plain,
    A = double_divide(double_divide(identity,B),double_divide(identity,double_divide(B,inverse(A)))),
    inference(rw,[status(thm)],[eq_15,eq_3]) ).

cnf(eq_23,plain,
    double_divide(identity,double_divide(double_divide(identity,inverse(identity)),double_divide(inverse(identity),inverse(A)))) = A,
    inference(cp,[status(thm)],[eq_3,eq_21]) ).

cnf(eq_24,plain,
    double_divide(double_divide(identity,A),double_divide(identity,identity)) = A,
    inference(cp,[status(thm)],[eq_3,eq_22]) ).

cnf(eq_25,plain,
    double_divide(double_divide(identity,inverse(identity)),double_divide(double_divide(A,inverse(identity)),A)) = double_divide(identity,identity),
    inference(cp,[status(thm)],[eq_20,eq_12]) ).

cnf(eq_26,plain,
    double_divide(double_divide(identity,identity),double_divide(double_divide(A,inverse(identity)),A)) = double_divide(identity,inverse(identity)),
    inference(cp,[status(thm)],[eq_21,eq_12]) ).

cnf(eq_27,plain,
    identity = double_divide(inverse(identity),double_divide(double_divide(A,inverse(identity)),A)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_26,eq_2]),eq_3]) ).

cnf(eq_28,plain,
    A = double_divide(double_divide(identity,A),inverse(identity)),
    inference(rw,[status(thm)],[eq_24,eq_2]) ).

cnf(eq_29,plain,
    A = double_divide(identity,double_divide(identity,double_divide(inverse(identity),inverse(A)))),
    inference(rw,[status(thm)],[eq_23,eq_3]) ).

cnf(eq_30,plain,
    double_divide(identity,double_divide(double_divide(A,inverse(identity)),A)) = inverse(identity),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_25,eq_3]),eq_2]) ).

cnf(eq_31,plain,
    double_divide(identity,double_divide(double_divide(identity,inverse(identity)),double_divide(inverse(identity),double_divide(double_divide(A,inverse(identity)),A)))) = inverse(identity),
    inference(cp,[status(thm)],[eq_27,eq_21]) ).

cnf(eq_32,plain,
    double_divide(double_divide(identity,double_divide(inverse(x101),inverse(identity))),inverse(identity)) = x101,
    inference(cp,[status(thm)],[eq_30,eq_22]) ).

cnf(eq_33,plain,
    double_divide(double_divide(identity,x100),inverse(inverse(x100))) = identity,
    inference(cp,[status(thm)],[eq_28,eq_18]) ).

cnf(eq_34,plain,
    identity = inverse(identity),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_31,eq_3]),eq_27]),eq_2]),eq_3]) ).

cnf(eq_35,plain,
    identity = double_divide(double_divide(identity,A),inverse(inverse(A))),
    eq_33 ).

cnf(eq_36,plain,
    A = double_divide(inverse(A),inverse(identity)),
    inference(rw,[status(thm)],[eq_32,eq_28]) ).

cnf(eq_37,plain,
    double_divide(identity,double_divide(double_divide(identity,inverse(identity)),double_divide(inverse(identity),inverse(inverse(A))))) = double_divide(identity,A),
    inference(cp,[status(thm)],[eq_35,eq_21]) ).

cnf(eq_38,plain,
    double_divide(inverse(x100),identity) = x100,
    inference(cp,[status(thm)],[eq_34,eq_36]) ).

cnf(eq_39,plain,
    double_divide(identity,A) = inverse(A),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_37,eq_3]),eq_29]) ).

cnf(eq_40,plain,
    A = inverse(inverse(A)),
    inference(rw,[status(thm)],[eq_38,eq_2]) ).

cnf(eq_41,plain,
    A = double_divide(inverse(B),double_divide(A,inverse(B))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_19,eq_39]),eq_34]),eq_2]),eq_40]) ).

cnf(eq_42,plain,
    A = double_divide(B,double_divide(inverse(double_divide(A,double_divide(inverse(double_divide(C,x3)),double_divide(B,x3)))),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)],[eq_11,eq_39]),eq_34]),eq_34]),eq_39]),eq_2]),eq_40]),eq_2]) ).

cnf(eq_43,plain,
    identity = double_divide(inverse(A),A),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_35,eq_39]),eq_40]) ).

cnf(eq_44,plain,
    A = double_divide(inverse(B),inverse(double_divide(B,inverse(A)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_22,eq_39]),eq_39]) ).

cnf(eq_45,plain,
    A = inverse(double_divide(inverse(double_divide(A,B)),inverse(B))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_20,eq_34]),eq_34]),eq_39]),eq_2]),eq_39]) ).

cnf(eq_46,plain,
    double_divide(inverse(A),double_divide(inverse(double_divide(x101,double_divide(inverse(double_divide(x102,A)),identity))),x102)) = x101,
    inference(cp,[status(thm)],[eq_43,eq_42]) ).

cnf(eq_47,plain,
    double_divide(inverse(double_divide(B,inverse(A))),A) = inverse(B),
    inference(cp,[status(thm)],[eq_44,eq_41]) ).

cnf(eq_48,plain,
    double_divide(inverse(inverse(double_divide(A,B))),A) = B,
    inference(cp,[status(thm)],[eq_45,eq_44]) ).

cnf(eq_49,plain,
    A = double_divide(inverse(B),double_divide(inverse(double_divide(A,double_divide(C,B))),C)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_46,eq_2]),eq_40]) ).

cnf(eq_50,plain,
    double_divide(inverse(double_divide(A,inverse(B))),B) = inverse(A),
    eq_47 ).

cnf(eq_51,plain,
    A = double_divide(double_divide(B,A),B),
    inference(rw,[status(thm)],[eq_48,eq_40]) ).

cnf(eq_52,plain,
    double_divide(A,inverse(B)) = inverse(double_divide(B,inverse(A))),
    inference(cp,[status(thm)],[eq_44,eq_51]) ).

cnf(eq_53,plain,
    double_divide(inverse(A),x101) = inverse(double_divide(inverse(x101),A)),
    inference(cp,[status(thm)],[eq_51,eq_50]) ).

cnf(eq_54,plain,
    double_divide(inverse(A),B) = inverse(double_divide(inverse(B),A)),
    eq_53 ).

cnf(eq_55,plain,
    double_divide(inverse(x100),double_divide(inverse(A),x102)) = double_divide(double_divide(x102,x100),A),
    inference(cp,[status(thm)],[eq_51,eq_49]) ).

cnf(eq_56,plain,
    double_divide(double_divide(A,B),C) = double_divide(inverse(B),double_divide(inverse(C),A)),
    eq_55 ).

cnf(eq_57,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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_6,eq_2]),eq_2]),eq_54]),eq_2]),eq_2]),eq_52]) ).

cnf(eq_58,negated_conjecture,
    double_divide(inverse(a3),double_divide(inverse(inverse(c3)),b3)) != double_divide(inverse(a3),double_divide(c3,b3)),
    inference(cp,[status(thm)],[eq_56,eq_57]) ).

cnf(eq_59,negated_conjecture,
    double_divide(inverse(a3),double_divide(c3,b3)) != double_divide(inverse(a3),double_divide(c3,b3)),
    inference(rw,[status(thm)],[eq_58,eq_40]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_59]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : GRP495-1 : TPTP v8.1.0. Released v2.6.0.
% 0.04/0.12  % Command  : run_maedmax %d %s
% 0.12/0.33  % Computer : n016.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 04:47:20 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.66/0.84  % SZS status Unsatisfiable
% 0.66/0.84  % SZS output start CNFRefutation for /tmp/MaedMax_23920
% See solution above
% 0.66/0.84  
%------------------------------------------------------------------------------