TSTP Solution File: GRP575-1 by MaedMax---1.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP575-1 : 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 07:02:56 EDT 2022

% Result   : Unsatisfiable 1.52s 1.75s
% Output   : CNFRefutation 1.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :    5
% Syntax   : Number of clauses     :  111 ( 111 unt;   0 nHn;  22 RR)
%            Number of literals    :  111 ( 110 equ;   8 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   :  160 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    A = double_divide(double_divide(B,double_divide(double_divide(A,double_divide(C,B)),double_divide(C,identity))),double_divide(identity,identity)),
    file('/tmp/MaedMax_26446') ).

cnf(eq_1,axiom,
    double_divide(double_divide(A,B),identity) = multiply(B,A),
    file('/tmp/MaedMax_26446') ).

cnf(eq_2,axiom,
    double_divide(A,identity) = inverse(A),
    file('/tmp/MaedMax_26446') ).

cnf(eq_3,axiom,
    double_divide(A,inverse(A)) = identity,
    file('/tmp/MaedMax_26446') ).

cnf(eq_4,negated_conjecture,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    file('/tmp/MaedMax_26446') ).

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

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

cnf(eq_10,plain,
    double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))) = double_divide(double_divide(identity,double_divide(B,inverse(identity))),inverse(identity)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_9,eq_2]),eq_2]),eq_2]) ).

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

cnf(eq_12,plain,
    double_divide(double_divide(identity,double_divide(double_divide(x101,inverse(A)),inverse(A))),inverse(identity)) = x101,
    inference(cp,[status(thm)],[eq_2,eq_5]) ).

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

cnf(eq_14,plain,
    A = double_divide(double_divide(identity,double_divide(double_divide(A,inverse(B)),inverse(B))),inverse(identity)),
    eq_12 ).

cnf(eq_15,plain,
    double_divide(double_divide(B,A),multiply(A,B)) = identity,
    inference(cp,[status(thm)],[eq_6,eq_3]) ).

cnf(eq_16,plain,
    double_divide(double_divide(double_divide(identity,double_divide(B,inverse(identity))),inverse(identity)),inverse(identity)) = B,
    inference(cp,[status(thm)],[eq_10,eq_5]) ).

cnf(eq_17,plain,
    inverse(inverse(A)) = multiply(identity,A),
    inference(cp,[status(thm)],[eq_2,eq_6]) ).

cnf(eq_18,plain,
    double_divide(double_divide(identity,double_divide(identity,inverse(A))),inverse(identity)) = A,
    inference(cp,[status(thm)],[eq_3,eq_14]) ).

cnf(eq_19,plain,
    double_divide(double_divide(identity,double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),inverse(identity))),inverse(identity)) = double_divide(identity,double_divide(B,inverse(identity))),
    inference(cp,[status(thm)],[eq_10,eq_14]) ).

cnf(eq_20,plain,
    double_divide(double_divide(inverse(inverse(x101)),identity),inverse(identity)) = x101,
    inference(cp,[status(thm)],[eq_3,eq_13]) ).

cnf(eq_21,plain,
    A = double_divide(double_divide(identity,double_divide(identity,inverse(A))),inverse(identity)),
    eq_18 ).

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_19,eq_5]) ).

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

cnf(eq_24,plain,
    double_divide(double_divide(A,B),multiply(B,A)) = identity,
    eq_15 ).

cnf(eq_25,plain,
    A = double_divide(inverse(inverse(inverse(A))),inverse(identity)),
    inference(rw,[status(thm)],[eq_20,eq_2]) ).

cnf(eq_26,plain,
    A = double_divide(double_divide(double_divide(identity,double_divide(A,inverse(identity))),inverse(identity)),inverse(identity)),
    eq_16 ).

cnf(eq_27,plain,
    A = double_divide(identity,double_divide(double_divide(double_divide(A,inverse(identity)),inverse(identity)),inverse(identity))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_26,eq_22]),eq_22]) ).

cnf(eq_28,plain,
    A = double_divide(identity,double_divide(identity,double_divide(inverse(A),inverse(identity)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_21,eq_22]),eq_22]) ).

cnf(eq_29,plain,
    A = double_divide(identity,double_divide(double_divide(double_divide(A,inverse(B)),inverse(B)),inverse(identity))),
    inference(rw,[status(thm)],[eq_14,eq_22]) ).

cnf(eq_30,plain,
    double_divide(x100,double_divide(identity,double_divide(double_divide(identity,x100),inverse(identity)))) = double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)),
    inference(cp,[status(thm)],[eq_22,eq_10]) ).

cnf(eq_31,plain,
    double_divide(identity,inverse(identity)) = double_divide(identity,double_divide(inverse(identity),inverse(identity))),
    inference(cp,[status(thm)],[eq_3,eq_22]) ).

cnf(eq_32,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_33,plain,
    double_divide(inverse(identity),inverse(identity)) = inverse(identity),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_32,eq_3]),eq_2]) ).

cnf(eq_34,plain,
    double_divide(A,double_divide(identity,double_divide(identity,double_divide(A,inverse(identity))))) = double_divide(inverse(identity),inverse(identity)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_30,eq_22]),eq_3]),eq_2]) ).

cnf(eq_35,plain,
    double_divide(identity,double_divide(inverse(identity),inverse(identity))) = identity,
    inference(rw,[status(thm)],[eq_31,eq_3]) ).

cnf(eq_36,plain,
    double_divide(inverse(A),A) = double_divide(inverse(identity),inverse(identity)),
    inference(cp,[status(thm)],[eq_28,eq_34]) ).

cnf(eq_37,plain,
    double_divide(identity,identity) = identity,
    inference(cp,[status(thm)],[eq_35,eq_28]) ).

cnf(eq_38,plain,
    double_divide(identity,double_divide(identity,inverse(identity))) = identity,
    inference(cp,[status(thm)],[eq_33,eq_28]) ).

cnf(eq_39,plain,
    double_divide(identity,double_divide(identity,A)) = inverse(inverse(A)),
    inference(cp,[status(thm)],[eq_25,eq_28]) ).

cnf(eq_40,plain,
    identity = inverse(identity),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_38,eq_3]),eq_2]) ).

cnf(eq_41,plain,
    double_divide(inverse(A),A) = identity,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_36,eq_40]),eq_40]),eq_2]),eq_40]) ).

cnf(eq_42,plain,
    double_divide(identity,inverse(A)) = inverse(double_divide(identity,A)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_22,eq_40]),eq_2]),eq_40]),eq_2]) ).

cnf(eq_43,plain,
    A = inverse(inverse(inverse(inverse(A)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_28,eq_40]),eq_2]),eq_39]) ).

cnf(eq_44,plain,
    A = double_divide(identity,inverse(inverse(inverse(A)))),
    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_27,eq_40]),eq_40]),eq_40]),eq_2]),eq_2]),eq_2]) ).

cnf(eq_45,plain,
    A = inverse(inverse(double_divide(identity,inverse(A)))),
    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_26,eq_40]),eq_40]),eq_40]),eq_2]),eq_2]),eq_2]) ).

cnf(eq_46,plain,
    A = inverse(double_divide(inverse(B),double_divide(inverse(A),inverse(B)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_13,eq_40]),eq_2]) ).

cnf(eq_47,plain,
    double_divide(double_divide(inverse(B),double_divide(inverse(A),inverse(B))),A) = identity,
    inference(cp,[status(thm)],[eq_46,eq_3]) ).

cnf(eq_48,plain,
    double_divide(identity,A) = inverse(A),
    inference(cp,[status(thm)],[eq_43,eq_44]) ).

cnf(eq_49,plain,
    inverse(double_divide(inverse(x100),identity)) = inverse(x100),
    inference(cp,[status(thm)],[eq_41,eq_46]) ).

cnf(eq_50,plain,
    inverse(double_divide(inverse(x100),double_divide(A,inverse(x100)))) = double_divide(inverse(B),double_divide(inverse(A),inverse(B))),
    inference(cp,[status(thm)],[eq_46,eq_46]) ).

cnf(eq_51,plain,
    inverse(double_divide(inverse(double_divide(inverse(B),double_divide(inverse(A),inverse(B)))),double_divide(inverse(x101),A))) = x101,
    inference(cp,[status(thm)],[eq_46,eq_46]) ).

cnf(eq_52,plain,
    inverse(inverse(inverse(double_divide(identity,A)))) = A,
    inference(cp,[status(thm)],[eq_42,eq_45]) ).

cnf(eq_53,plain,
    inverse(A) = inverse(inverse(inverse(A))),
    inference(rw,[status(thm)],[eq_49,eq_2]) ).

cnf(eq_54,plain,
    double_divide(double_divide(inverse(A),double_divide(inverse(B),inverse(A))),B) = identity,
    eq_47 ).

cnf(eq_55,plain,
    double_divide(inverse(A),double_divide(inverse(B),inverse(A))) = inverse(double_divide(inverse(C),double_divide(B,inverse(C)))),
    eq_50 ).

cnf(eq_56,plain,
    A = inverse(inverse(inverse(double_divide(identity,A)))),
    eq_52 ).

cnf(eq_57,negated_conjecture,
    double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),double_divide(inverse(A),A)) != double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity),
    inference(cp,[status(thm)],[eq_41,eq_7]) ).

cnf(eq_58,negated_conjecture,
    double_divide(double_divide(c3,inverse(double_divide(b3,a3))),double_divide(inverse(A),A)) != inverse(double_divide(inverse(double_divide(c3,b3)),a3)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_57,eq_2]),eq_2]),eq_2]) ).

cnf(eq_59,plain,
    double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))) = 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_10,eq_40]),eq_40]),eq_2]),eq_48]),eq_2]),eq_53]) ).

cnf(eq_60,plain,
    A = inverse(inverse(A)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_56,eq_48]),eq_53]) ).

cnf(eq_61,plain,
    A = inverse(inverse(double_divide(double_divide(A,inverse(B)),inverse(B)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_29,eq_40]),eq_2]),eq_48]) ).

cnf(eq_62,plain,
    A = inverse(double_divide(B,double_divide(inverse(A),B))),
    inference(rw,[status(thm)],[eq_51,eq_46]) ).

cnf(eq_63,plain,
    double_divide(x100,double_divide(identity,inverse(x102))) = inverse(inverse(double_divide(x102,x100))),
    inference(cp,[status(thm)],[eq_41,eq_59]) ).

cnf(eq_64,plain,
    double_divide(x100,double_divide(identity,inverse(x102))) = inverse(double_divide(inverse(A),double_divide(inverse(double_divide(x102,x100)),inverse(A)))),
    inference(cp,[status(thm)],[eq_54,eq_59]) ).

cnf(eq_65,plain,
    double_divide(B,double_divide(double_divide(x101,identity),inverse(double_divide(inverse(A),double_divide(inverse(B),inverse(A)))))) = inverse(x101),
    inference(cp,[status(thm)],[eq_54,eq_59]) ).

cnf(eq_66,plain,
    double_divide(x100,double_divide(double_divide(x101,double_divide(identity,x100)),identity)) = inverse(x101),
    inference(cp,[status(thm)],[eq_40,eq_59]) ).

cnf(eq_67,plain,
    double_divide(inverse(x100),double_divide(A,inverse(x100))) = inverse(double_divide(inverse(x102),double_divide(inverse(A),inverse(x102)))),
    inference(cp,[status(thm)],[eq_60,eq_55]) ).

cnf(eq_68,plain,
    identity = double_divide(x101,double_divide(double_divide(identity,double_divide(x102,x101)),inverse(x102))),
    inference(cp,[status(thm)],[eq_40,eq_59]) ).

cnf(eq_69,plain,
    inverse(double_divide(x100,double_divide(A,x100))) = inverse(A),
    inference(cp,[status(thm)],[eq_60,eq_62]) ).

cnf(eq_70,plain,
    A = double_divide(double_divide(A,inverse(B)),inverse(B)),
    inference(cp,[status(thm)],[eq_61,eq_60]) ).

cnf(eq_71,plain,
    double_divide(A,inverse(double_divide(B,inverse(A)))) = inverse(B),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_66,eq_48]),eq_2]) ).

cnf(eq_72,plain,
    double_divide(A,B) = double_divide(B,inverse(inverse(A))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_64,eq_48]),eq_46]) ).

cnf(eq_73,plain,
    double_divide(A,double_divide(inverse(B),A)) = inverse(B),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_65,eq_2]),eq_46]) ).

cnf(eq_74,plain,
    double_divide(A,inverse(inverse(B))) = inverse(inverse(double_divide(B,A))),
    inference(rw,[status(thm)],[eq_63,eq_48]) ).

cnf(eq_75,plain,
    double_divide(A,double_divide(inverse(double_divide(B,A)),inverse(B))) = identity,
    inference(rw,[status(thm)],[eq_68,eq_48]) ).

cnf(eq_76,plain,
    A = double_divide(inverse(B),double_divide(A,inverse(B))),
    inference(rw,[status(thm)],[eq_67,eq_46]) ).

cnf(eq_77,plain,
    inverse(A) = inverse(double_divide(B,double_divide(A,B))),
    eq_69 ).

cnf(eq_78,plain,
    double_divide(A,B) = double_divide(B,A),
    inference(rw,[status(thm)],[eq_72,eq_60]) ).

cnf(eq_79,plain,
    double_divide(double_divide(A,inverse(B)),A) = inverse(B),
    inference(cp,[status(thm)],[eq_76,eq_73]) ).

cnf(eq_80,plain,
    double_divide(double_divide(x100,inverse(inverse(A))),A) = x100,
    inference(cp,[status(thm)],[eq_60,eq_70]) ).

cnf(eq_81,plain,
    double_divide(inverse(inverse(A)),double_divide(x101,A)) = x101,
    inference(cp,[status(thm)],[eq_60,eq_76]) ).

cnf(eq_82,plain,
    A = double_divide(B,double_divide(A,B)),
    inference(rw,[status(thm)],[eq_81,eq_60]) ).

cnf(eq_83,plain,
    A = double_divide(double_divide(A,B),B),
    inference(rw,[status(thm)],[eq_80,eq_60]) ).

cnf(eq_84,plain,
    inverse(double_divide(B,A)) = inverse(double_divide(A,B)),
    inference(cp,[status(thm)],[eq_83,eq_77]) ).

cnf(eq_85,plain,
    double_divide(double_divide(inverse(double_divide(B,A)),inverse(B)),identity) = A,
    inference(cp,[status(thm)],[eq_75,eq_82]) ).

cnf(eq_86,plain,
    double_divide(inverse(B),A) = inverse(double_divide(B,inverse(A))),
    inference(cp,[status(thm)],[eq_71,eq_79]) ).

cnf(eq_87,plain,
    A = inverse(double_divide(inverse(double_divide(B,A)),inverse(B))),
    inference(rw,[status(thm)],[eq_85,eq_2]) ).

cnf(eq_88,plain,
    double_divide(inverse(A),B) = inverse(double_divide(A,inverse(B))),
    eq_86 ).

cnf(eq_89,plain,
    inverse(double_divide(A,B)) = inverse(double_divide(B,A)),
    eq_84 ).

cnf(eq_90,negated_conjecture,
    inverse(double_divide(a3,inverse(double_divide(c3,b3)))) != double_divide(double_divide(c3,inverse(double_divide(b3,a3))),double_divide(inverse(x100),x100)),
    inference(cp,[status(thm)],[eq_78,eq_58]) ).

cnf(eq_91,plain,
    multiply(A,B) = multiply(B,A),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_89,eq_6]),eq_6]) ).

cnf(eq_92,plain,
    double_divide(A,B) = inverse(multiply(A,B)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_74,eq_60]),eq_6]) ).

cnf(eq_93,plain,
    A = multiply(identity,A),
    inference(rw,[status(thm)],[eq_23,eq_60]) ).

cnf(eq_94,plain,
    double_divide(identity,multiply(B,A)) = double_divide(A,B),
    inference(cp,[status(thm)],[eq_24,eq_83]) ).

cnf(eq_95,plain,
    double_divide(A,B) = inverse(multiply(B,A)),
    inference(rw,[status(thm)],[eq_94,eq_48]) ).

cnf(eq_96,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_90,eq_6]),eq_6]),eq_6]),eq_41]),eq_2]),eq_6]) ).

cnf(eq_97,negated_conjecture,
    multiply(multiply(b3,a3),c3) != multiply(multiply(b3,c3),a3),
    inference(cp,[status(thm)],[eq_91,eq_96]) ).

cnf(eq_98,plain,
    inverse(multiply(A,B)) = inverse(multiply(B,A)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_78,eq_95]),eq_95]) ).

cnf(eq_99,plain,
    A = multiply(double_divide(double_divide(A,double_divide(B,C)),double_divide(B,identity)),C),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_0,eq_37]),eq_1]) ).

cnf(eq_100,plain,
    multiply(double_divide(double_divide(double_divide(x101,x102),B),double_divide(x101,identity)),x102) = B,
    inference(cp,[status(thm)],[eq_78,eq_99]) ).

cnf(eq_101,plain,
    A = multiply(double_divide(double_divide(double_divide(B,C),A),double_divide(B,identity)),C),
    eq_100 ).

cnf(eq_102,plain,
    A = multiply(multiply(B,A),inverse(B)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_87,eq_92]),eq_60]),eq_92]),eq_60]) ).

cnf(eq_103,plain,
    multiply(inverse(A),B) = inverse(multiply(A,inverse(B))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_88,eq_95]),eq_95]),eq_60]) ).

cnf(eq_104,plain,
    multiply(multiply(multiply(A,B),x101),inverse(multiply(B,A))) = x101,
    inference(cp,[status(thm)],[eq_98,eq_102]) ).

cnf(eq_105,plain,
    A = multiply(multiply(multiply(B,C),A),inverse(multiply(C,B))),
    eq_104 ).

cnf(eq_106,plain,
    A = multiply(multiply(B,multiply(A,inverse(multiply(C,B)))),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)],[eq_101,eq_95]),eq_95]),eq_95]),eq_93]),eq_95]),eq_103]),eq_60]),eq_60]) ).

cnf(eq_107,plain,
    multiply(multiply(B,A),C) = multiply(multiply(B,C),A),
    inference(cp,[status(thm)],[eq_105,eq_106]) ).

cnf(eq_108,plain,
    multiply(multiply(A,B),C) = multiply(multiply(A,C),B),
    eq_107 ).

cnf(eq_109,negated_conjecture,
    multiply(multiply(b3,a3),c3) != multiply(multiply(b3,a3),c3),
    inference(cp,[status(thm)],[eq_108,eq_97]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_109]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP575-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13  % Command  : run_maedmax %d %s
% 0.13/0.34  % Computer : n011.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 04:16:39 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 1.52/1.75  % SZS status Unsatisfiable
% 1.52/1.75  % SZS output start CNFRefutation for /tmp/MaedMax_26446
% See solution above
% 1.52/1.75  
%------------------------------------------------------------------------------