%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP420-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n008.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 07:02:43 EDT 2022

% Result   : Unsatisfiable 93.23s 93.42s
% Output   : CNFRefutation 93.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   43
%            Number of leaves      :    2
% Syntax   : Number of clauses     :  122 ( 122 unt;   0 nHn;   3 RR)
%            Number of literals    :  122 ( 121 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :   18 (   3 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;  10 con; 0-2 aty)
%            Number of variables   :  282 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    A = inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(A),inverse(multiply(C,inverse(multiply(inverse(C),C)))))))),multiply(B,C))),
    file('/tmp/MaedMax_12879') ).

cnf(eq_1,negated_conjecture,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    file('/tmp/MaedMax_12879') ).

cnf(eq_2,plain,
    inverse(multiply(inverse(multiply(x100,inverse(multiply(A,inverse(multiply(x102,inverse(multiply(inverse(x102),x102)))))))),multiply(x100,x102))) = multiply(inverse(multiply(B,inverse(multiply(inverse(A),inverse(multiply(C,inverse(multiply(inverse(C),C)))))))),multiply(B,C)),
    inference(cp,[status(thm)],[eq_0,eq_0]) ).

cnf(eq_3,plain,
    inverse(multiply(inverse(multiply(A,inverse(multiply(B,inverse(multiply(C,inverse(multiply(inverse(C),C)))))))),multiply(A,C))) = multiply(inverse(multiply(x3,inverse(multiply(inverse(B),inverse(multiply(x4,inverse(multiply(inverse(x4),x4)))))))),multiply(x3,x4)),
    eq_2 ).

cnf(eq_4,plain,
    A = multiply(inverse(multiply(x103,inverse(multiply(inverse(inverse(A)),inverse(multiply(x104,inverse(multiply(inverse(x104),x104)))))))),multiply(x103,x104)),
    inference(cp,[status(thm)],[eq_0,eq_3]) ).

cnf(eq_5,plain,
    multiply(inverse(multiply(x3,inverse(multiply(inverse(B),inverse(multiply(x4,inverse(multiply(inverse(x4),x4)))))))),multiply(x3,x4)) = multiply(inverse(multiply(x103,inverse(multiply(inverse(B),inverse(multiply(x104,inverse(multiply(inverse(x104),x104)))))))),multiply(x103,x104)),
    inference(cp,[status(thm)],[eq_3,eq_3]) ).

cnf(eq_6,plain,
    inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(B,inverse(multiply(C,inverse(multiply(inverse(C),C)))))))),multiply(A,C)))) = B,
    inference(cp,[status(thm)],[eq_3,eq_0]) ).

cnf(eq_7,plain,
    multiply(inverse(multiply(A,inverse(multiply(inverse(B),inverse(multiply(C,inverse(multiply(inverse(C),C)))))))),multiply(A,C)) = multiply(inverse(multiply(x3,inverse(multiply(inverse(B),inverse(multiply(x4,inverse(multiply(inverse(x4),x4)))))))),multiply(x3,x4)),
    eq_5 ).

cnf(eq_8,plain,
    A = multiply(inverse(multiply(B,inverse(multiply(inverse(inverse(A)),inverse(multiply(C,inverse(multiply(inverse(C),C)))))))),multiply(B,C)),
    eq_4 ).

cnf(eq_9,plain,
    A = inverse(inverse(multiply(inverse(multiply(B,inverse(multiply(A,inverse(multiply(C,inverse(multiply(inverse(C),C)))))))),multiply(B,C)))),
    eq_6 ).

cnf(eq_10,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(inverse(A)),inverse(multiply(C,inverse(multiply(inverse(C),C)))))))),inverse(multiply(inverse(x101),inverse(multiply(multiply(B,C),inverse(multiply(inverse(multiply(B,C)),multiply(B,C))))))))),A)) = x101,
    inference(cp,[status(thm)],[eq_8,eq_0]) ).

cnf(eq_11,plain,
    multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(inverse(A)),inverse(multiply(C,inverse(multiply(inverse(C),C)))))))),inverse(multiply(inverse(inverse(x101)),inverse(multiply(multiply(B,C),inverse(multiply(inverse(multiply(B,C)),multiply(B,C))))))))),A) = x101,
    inference(cp,[status(thm)],[eq_8,eq_8]) ).

cnf(eq_12,plain,
    multiply(inverse(multiply(x100,inverse(multiply(A,inverse(multiply(x102,inverse(multiply(inverse(x102),x102)))))))),multiply(x100,x102)) = multiply(inverse(multiply(x103,inverse(multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(A),inverse(multiply(C,inverse(multiply(inverse(C),C)))))))),multiply(B,C))),inverse(multiply(x104,inverse(multiply(inverse(x104),x104)))))))),multiply(x103,x104)),
    inference(cp,[status(thm)],[eq_0,eq_7]) ).

cnf(eq_13,plain,
    multiply(inverse(multiply(A,inverse(multiply(B,inverse(multiply(C,inverse(multiply(inverse(C),C)))))))),multiply(A,C)) = multiply(inverse(multiply(x3,inverse(multiply(B,inverse(multiply(x4,inverse(multiply(inverse(x4),x4)))))))),multiply(x3,x4)),
    inference(rw,[status(thm)],[eq_12,eq_0]) ).

cnf(eq_14,plain,
    A = inverse(multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(inverse(C)),inverse(multiply(x3,inverse(multiply(inverse(x3),x3)))))))),inverse(multiply(inverse(A),inverse(multiply(multiply(B,x3),inverse(multiply(inverse(multiply(B,x3)),multiply(B,x3))))))))),C)),
    eq_10 ).

cnf(eq_15,plain,
    A = multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(inverse(C)),inverse(multiply(x3,inverse(multiply(inverse(x3),x3)))))))),inverse(multiply(inverse(inverse(A)),inverse(multiply(multiply(B,x3),inverse(multiply(inverse(multiply(B,x3)),multiply(B,x3))))))))),C),
    eq_11 ).

cnf(eq_16,plain,
    inverse(multiply(inverse(multiply(x100,A)),multiply(x100,x102))) = multiply(inverse(multiply(B,inverse(multiply(inverse(inverse(inverse(multiply(x102,inverse(multiply(inverse(x102),x102)))))),inverse(multiply(x3,inverse(multiply(inverse(x3),x3)))))))),inverse(multiply(inverse(A),inverse(multiply(multiply(B,x3),inverse(multiply(inverse(multiply(B,x3)),multiply(B,x3)))))))),
    inference(cp,[status(thm)],[eq_14,eq_0]) ).

cnf(eq_17,plain,
    inverse(multiply(inverse(multiply(A,B)),multiply(A,C))) = multiply(inverse(multiply(x3,inverse(multiply(inverse(inverse(inverse(multiply(C,inverse(multiply(inverse(C),C)))))),inverse(multiply(x4,inverse(multiply(inverse(x4),x4)))))))),inverse(multiply(inverse(B),inverse(multiply(multiply(x3,x4),inverse(multiply(inverse(multiply(x3,x4)),multiply(x3,x4)))))))),
    eq_16 ).

cnf(eq_18,plain,
    multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(x101))),multiply(A,C)))),multiply(inverse(multiply(x3,inverse(multiply(inverse(inverse(inverse(multiply(C,inverse(multiply(inverse(C),C)))))),inverse(multiply(x4,inverse(multiply(inverse(x4),x4)))))))),multiply(x3,x4))) = x101,
    inference(cp,[status(thm)],[eq_17,eq_8]) ).

cnf(eq_19,plain,
    inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,B)),multiply(A,C)))),multiply(inverse(multiply(x3,inverse(multiply(inverse(inverse(inverse(multiply(C,inverse(multiply(inverse(C),C)))))),inverse(multiply(x4,inverse(multiply(inverse(x4),x4)))))))),multiply(x3,x4)))) = multiply(inverse(multiply(x103,inverse(multiply(inverse(inverse(B)),inverse(multiply(x104,inverse(multiply(inverse(x104),x104)))))))),multiply(x103,x104)),
    inference(cp,[status(thm)],[eq_17,eq_3]) ).

cnf(eq_20,plain,
    multiply(inverse(inverse(multiply(inverse(multiply(A,B)),multiply(A,C)))),multiply(inverse(multiply(x3,inverse(multiply(inverse(inverse(inverse(multiply(C,inverse(multiply(inverse(C),C)))))),inverse(multiply(x4,inverse(multiply(inverse(x4),x4)))))))),multiply(x3,x4))) = multiply(inverse(multiply(x103,inverse(multiply(inverse(B),inverse(multiply(x104,inverse(multiply(inverse(x104),x104)))))))),multiply(x103,x104)),
    inference(cp,[status(thm)],[eq_17,eq_13]) ).

cnf(eq_21,plain,
    multiply(inverse(inverse(multiply(inverse(multiply(A,B)),multiply(A,C)))),multiply(inverse(multiply(x3,inverse(multiply(inverse(inverse(inverse(multiply(C,inverse(multiply(inverse(C),C)))))),inverse(multiply(x4,inverse(multiply(inverse(x4),x4)))))))),multiply(x3,x4))) = inverse(multiply(inverse(multiply(x103,inverse(multiply(B,inverse(multiply(x104,inverse(multiply(inverse(x104),x104)))))))),multiply(x103,x104))),
    inference(cp,[status(thm)],[eq_17,eq_3]) ).

cnf(eq_22,plain,
    inverse(multiply(inverse(multiply(A,B)),multiply(A,C))) = inverse(multiply(inverse(multiply(x104,B)),multiply(x104,C))),
    inference(cp,[status(thm)],[eq_17,eq_17]) ).

cnf(eq_23,plain,
    A = inverse(multiply(inverse(inverse(multiply(inverse(multiply(B,A)),multiply(B,C)))),inverse(multiply(C,inverse(multiply(inverse(C),C)))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_19,eq_8]),eq_8]) ).

cnf(eq_24,plain,
    inverse(multiply(inverse(multiply(A,inverse(multiply(B,inverse(multiply(C,inverse(multiply(inverse(C),C)))))))),multiply(A,C))) = multiply(inverse(inverse(multiply(inverse(multiply(x3,B)),multiply(x3,x4)))),inverse(multiply(x4,inverse(multiply(inverse(x4),x4))))),
    inference(rw,[status(thm)],[eq_21,eq_8]) ).

cnf(eq_25,plain,
    A = multiply(inverse(inverse(multiply(inverse(multiply(B,inverse(A))),multiply(B,C)))),inverse(multiply(C,inverse(multiply(inverse(C),C))))),
    inference(rw,[status(thm)],[eq_18,eq_8]) ).

cnf(eq_26,plain,
    multiply(inverse(inverse(multiply(inverse(multiply(A,B)),multiply(A,C)))),inverse(multiply(C,inverse(multiply(inverse(C),C))))) = multiply(inverse(multiply(x3,inverse(multiply(inverse(B),inverse(multiply(x4,inverse(multiply(inverse(x4),x4)))))))),multiply(x3,x4)),
    inference(rw,[status(thm)],[eq_20,eq_8]) ).

cnf(eq_27,plain,
    inverse(multiply(inverse(multiply(A,B)),multiply(A,C))) = inverse(multiply(inverse(multiply(x3,B)),multiply(x3,C))),
    eq_22 ).

cnf(eq_28,plain,
    inverse(inverse(multiply(inverse(multiply(x100,inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(B,inverse(multiply(C,inverse(multiply(inverse(C),C)))))))),multiply(A,C)))))),multiply(x100,x4)))) = inverse(inverse(multiply(inverse(multiply(x3,B)),multiply(x3,x4)))),
    inference(cp,[status(thm)],[eq_24,eq_9]) ).

cnf(eq_29,plain,
    multiply(inverse(multiply(x100,inverse(multiply(inverse(inverse(x101)),inverse(multiply(multiply(x3,C),inverse(multiply(inverse(multiply(A,C)),multiply(A,C))))))))),multiply(x100,multiply(x3,C))) = x101,
    inference(cp,[status(thm)],[eq_27,eq_8]) ).

cnf(eq_30,plain,
    multiply(inverse(inverse(multiply(inverse(multiply(x100,inverse(x101))),multiply(x100,multiply(x3,C))))),inverse(multiply(multiply(x3,C),inverse(multiply(inverse(multiply(A,C)),multiply(A,C)))))) = x101,
    inference(cp,[status(thm)],[eq_27,eq_25]) ).

cnf(eq_31,plain,
    multiply(inverse(multiply(x100,inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(B,inverse(multiply(C,inverse(multiply(inverse(C),C)))))))),multiply(A,C)))))),multiply(x100,x4)) = multiply(inverse(multiply(x103,inverse(multiply(inverse(inverse(multiply(inverse(multiply(x3,B)),multiply(x3,x4)))),inverse(multiply(x104,inverse(multiply(inverse(x104),x104)))))))),multiply(x103,x104)),
    inference(cp,[status(thm)],[eq_24,eq_13]) ).

cnf(eq_32,plain,
    multiply(inverse(multiply(A,B)),multiply(A,C)) = multiply(inverse(multiply(x3,B)),multiply(x3,C)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_31,eq_9]),eq_8]) ).

cnf(eq_33,plain,
    A = multiply(inverse(inverse(multiply(inverse(multiply(B,inverse(A))),multiply(B,multiply(C,x3))))),inverse(multiply(multiply(C,x3),inverse(multiply(inverse(multiply(x4,x3)),multiply(x4,x3)))))),
    eq_30 ).

cnf(eq_34,plain,
    inverse(inverse(multiply(inverse(multiply(A,B)),multiply(A,C)))) = inverse(inverse(multiply(inverse(multiply(x3,B)),multiply(x3,C)))),
    inference(rw,[status(thm)],[eq_28,eq_9]) ).

cnf(eq_35,plain,
    A = multiply(inverse(multiply(B,inverse(multiply(inverse(inverse(A)),inverse(multiply(multiply(C,x3),inverse(multiply(inverse(multiply(x4,x3)),multiply(x4,x3))))))))),multiply(B,multiply(C,x3))),
    eq_29 ).

cnf(eq_36,plain,
    multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,B)),multiply(A,C)))),inverse(multiply(C,inverse(multiply(inverse(C),C)))))),multiply(inverse(multiply(x3,inverse(multiply(inverse(B),inverse(multiply(x4,inverse(multiply(inverse(x4),x4)))))))),x102)) = multiply(inverse(multiply(x103,multiply(x3,x4))),multiply(x103,x102)),
    inference(cp,[status(thm)],[eq_26,eq_32]) ).

cnf(eq_37,plain,
    multiply(A,multiply(inverse(multiply(B,inverse(multiply(inverse(A),inverse(multiply(C,inverse(multiply(inverse(C),C)))))))),x3)) = multiply(inverse(multiply(x4,multiply(B,C))),multiply(x4,x3)),
    inference(rw,[status(thm)],[eq_36,eq_23]) ).

cnf(eq_38,plain,
    multiply(inverse(A),A) = multiply(inverse(multiply(x104,multiply(inverse(multiply(B,inverse(multiply(inverse(inverse(C)),inverse(multiply(x3,inverse(multiply(inverse(x3),x3)))))))),multiply(B,x3)))),multiply(x104,C)),
    inference(cp,[status(thm)],[eq_15,eq_37]) ).

cnf(eq_39,plain,
    multiply(inverse(A),A) = multiply(inverse(multiply(B,C)),multiply(B,C)),
    inference(rw,[status(thm)],[eq_38,eq_8]) ).

cnf(eq_40,plain,
    inverse(multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(C,inverse(multiply(inverse(C),C)))))) = C,
    inference(cp,[status(thm)],[eq_39,eq_23]) ).

cnf(eq_41,plain,
    inverse(inverse(multiply(inverse(A),A))) = inverse(inverse(multiply(inverse(multiply(x103,C)),multiply(x103,C)))),
    inference(cp,[status(thm)],[eq_39,eq_34]) ).

cnf(eq_42,plain,
    inverse(multiply(inverse(A),A)) = inverse(multiply(inverse(multiply(x103,C)),multiply(x103,C))),
    inference(cp,[status(thm)],[eq_39,eq_27]) ).

cnf(eq_43,plain,
    multiply(inverse(A),A) = multiply(inverse(x102),x102),
    inference(cp,[status(thm)],[eq_39,eq_39]) ).

cnf(eq_44,plain,
    multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,C))),multiply(inverse(A),A)) = multiply(inverse(x102),x102),
    inference(cp,[status(thm)],[eq_39,eq_39]) ).

cnf(eq_45,plain,
    multiply(inverse(A),A) = multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,C))),multiply(inverse(x3),x3)),
    eq_44 ).

cnf(eq_46,plain,
    multiply(inverse(A),A) = multiply(inverse(B),B),
    eq_43 ).

cnf(eq_47,plain,
    inverse(multiply(inverse(A),A)) = inverse(multiply(inverse(multiply(B,C)),multiply(B,C))),
    eq_42 ).

cnf(eq_48,plain,
    A = inverse(multiply(inverse(inverse(multiply(inverse(B),B))),inverse(multiply(A,inverse(multiply(inverse(A),A)))))),
    eq_40 ).

cnf(eq_49,plain,
    inverse(inverse(multiply(inverse(A),A))) = inverse(inverse(multiply(inverse(multiply(B,C)),multiply(B,C)))),
    eq_41 ).

cnf(eq_50,plain,
    inverse(multiply(inverse(inverse(multiply(inverse(x100),x100))),inverse(multiply(B,inverse(multiply(inverse(A),A)))))) = B,
    inference(cp,[status(thm)],[eq_46,eq_48]) ).

cnf(eq_51,plain,
    inverse(inverse(multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(inverse(A)),inverse(multiply(multiply(C,x3),inverse(multiply(inverse(multiply(x4,x3)),multiply(x4,x3))))))))),multiply(B,multiply(C,x3)))),A))) = inverse(inverse(multiply(inverse(x102),x102))),
    inference(cp,[status(thm)],[eq_35,eq_49]) ).

cnf(eq_52,plain,
    inverse(multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(inverse(A)),inverse(multiply(multiply(C,x3),inverse(multiply(inverse(multiply(x4,x3)),multiply(x4,x3))))))))),multiply(B,multiply(C,x3)))),A)) = inverse(multiply(inverse(x102),x102)),
    inference(cp,[status(thm)],[eq_35,eq_47]) ).

cnf(eq_53,plain,
    inverse(multiply(inverse(multiply(inverse(B),B)),multiply(inverse(A),A))) = inverse(multiply(inverse(x102),x102)),
    inference(cp,[status(thm)],[eq_46,eq_47]) ).

cnf(eq_54,plain,
    inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),x102))) = inverse(multiply(inverse(multiply(x103,B)),multiply(x103,x102))),
    inference(cp,[status(thm)],[eq_46,eq_27]) ).

cnf(eq_55,plain,
    multiply(inverse(multiply(x100,inverse(multiply(inverse(A),A)))),multiply(x100,x102)) = multiply(inverse(inverse(multiply(inverse(multiply(x103,inverse(multiply(x102,inverse(multiply(inverse(x102),x102)))))),multiply(x103,x104)))),inverse(multiply(x104,inverse(multiply(inverse(x104),x104))))),
    inference(cp,[status(thm)],[eq_46,eq_26]) ).

cnf(eq_56,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(inverse(A)),inverse(multiply(multiply(C,x3),inverse(multiply(inverse(multiply(x4,x3)),multiply(x4,x3))))))))),multiply(B,multiply(C,x3)))),A)),multiply(inverse(x102),x102)) = multiply(inverse(x103),x103),
    inference(cp,[status(thm)],[eq_35,eq_45]) ).

cnf(eq_57,plain,
    multiply(A,inverse(multiply(inverse(A),A))) = multiply(inverse(multiply(B,inverse(multiply(inverse(C),C)))),multiply(B,A)),
    inference(rw,[status(thm)],[eq_55,eq_25]) ).

cnf(eq_58,plain,
    inverse(multiply(inverse(A),A)) = inverse(multiply(inverse(B),B)),
    inference(rw,[status(thm)],[eq_52,eq_35]) ).

cnf(eq_59,plain,
    multiply(inverse(A),A) = multiply(inverse(multiply(inverse(B),B)),multiply(inverse(C),C)),
    inference(rw,[status(thm)],[eq_56,eq_35]) ).

cnf(eq_60,plain,
    A = inverse(multiply(inverse(inverse(multiply(inverse(B),B))),inverse(multiply(A,inverse(multiply(inverse(C),C)))))),
    eq_50 ).

cnf(eq_61,plain,
    inverse(inverse(multiply(inverse(A),A))) = inverse(inverse(multiply(inverse(B),B))),
    inference(rw,[status(thm)],[eq_51,eq_35]) ).

cnf(eq_62,plain,
    inverse(multiply(inverse(multiply(A,B)),multiply(A,C))) = inverse(multiply(inverse(multiply(inverse(x3),x3)),multiply(inverse(B),C))),
    eq_54 ).

cnf(eq_63,plain,
    inverse(multiply(inverse(A),A)) = inverse(multiply(inverse(multiply(inverse(B),B)),multiply(inverse(C),C))),
    eq_53 ).

cnf(eq_64,plain,
    multiply(inverse(multiply(inverse(multiply(inverse(B),B)),inverse(multiply(inverse(inverse(x101)),inverse(multiply(multiply(inverse(C),C),inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C))))))))),multiply(inverse(A),A)) = x101,
    inference(cp,[status(thm)],[eq_59,eq_8]) ).

cnf(eq_65,plain,
    inverse(inverse(inverse(multiply(inverse(C),C)))) = inverse(inverse(multiply(inverse(x101),x101))),
    inference(cp,[status(thm)],[eq_60,eq_61]) ).

cnf(eq_66,plain,
    inverse(inverse(multiply(inverse(C),C))) = inverse(multiply(inverse(x101),x101)),
    inference(cp,[status(thm)],[eq_60,eq_58]) ).

cnf(eq_67,plain,
    inverse(inverse(multiply(inverse(A),A))) = inverse(multiply(inverse(B),B)),
    eq_66 ).

cnf(eq_68,plain,
    inverse(inverse(inverse(multiply(inverse(A),A)))) = inverse(inverse(multiply(inverse(B),B))),
    eq_65 ).

cnf(eq_69,plain,
    inverse(multiply(inverse(multiply(inverse(B),B)),inverse(multiply(x101,inverse(multiply(inverse(x102),x102)))))) = x101,
    inference(cp,[status(thm)],[eq_67,eq_60]) ).

cnf(eq_70,plain,
    inverse(multiply(inverse(B),B)) = inverse(inverse(inverse(multiply(inverse(x101),x101)))),
    inference(cp,[status(thm)],[eq_67,eq_68]) ).

cnf(eq_71,plain,
    multiply(inverse(multiply(x100,inverse(multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),inverse(multiply(x102,inverse(multiply(inverse(x102),x102)))))))),multiply(x100,x102)) = multiply(inverse(inverse(multiply(inverse(multiply(x103,inverse(multiply(inverse(B),B)))),multiply(x103,x104)))),inverse(multiply(x104,inverse(multiply(inverse(x104),x104))))),
    inference(cp,[status(thm)],[eq_68,eq_26]) ).

cnf(eq_72,plain,
    inverse(inverse(inverse(multiply(inverse(A),A)))) = inverse(multiply(inverse(B),B)),
    eq_70 ).

cnf(eq_73,plain,
    inverse(multiply(inverse(A),A)) = multiply(inverse(B),B),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_71,eq_8]),eq_25]) ).

cnf(eq_74,plain,
    A = inverse(multiply(inverse(multiply(inverse(B),B)),inverse(multiply(A,inverse(multiply(inverse(C),C)))))),
    eq_69 ).

cnf(eq_75,plain,
    multiply(inverse(inverse(multiply(inverse(multiply(x100,inverse(multiply(inverse(B),B)))),multiply(x100,multiply(x102,x103))))),inverse(multiply(multiply(x102,x103),inverse(multiply(inverse(multiply(x104,x103)),multiply(x104,x103)))))) = inverse(inverse(multiply(inverse(A),A))),
    inference(cp,[status(thm)],[eq_72,eq_33]) ).

cnf(eq_76,plain,
    multiply(inverse(B),B) = inverse(multiply(inverse(multiply(inverse(x101),x101)),multiply(inverse(x102),x102))),
    inference(cp,[status(thm)],[eq_73,eq_63]) ).

cnf(eq_77,plain,
    multiply(multiply(inverse(B),B),multiply(inverse(A),A)) = inverse(multiply(inverse(x101),x101)),
    inference(cp,[status(thm)],[eq_73,eq_73]) ).

cnf(eq_78,plain,
    multiply(multiply(inverse(B),B),multiply(inverse(A),A)) = multiply(inverse(x101),x101),
    inference(cp,[status(thm)],[eq_73,eq_46]) ).

cnf(eq_79,plain,
    inverse(inverse(multiply(inverse(A),A))) = multiply(inverse(B),B),
    inference(rw,[status(thm)],[eq_75,eq_33]) ).

cnf(eq_80,plain,
    inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),B))) = multiply(inverse(C),C),
    eq_76 ).

cnf(eq_81,plain,
    multiply(inverse(A),A) = multiply(multiply(inverse(B),B),multiply(inverse(C),C)),
    eq_78 ).

cnf(eq_82,plain,
    inverse(multiply(inverse(A),A)) = multiply(multiply(inverse(B),B),multiply(inverse(C),C)),
    eq_77 ).

cnf(eq_83,plain,
    inverse(inverse(multiply(inverse(multiply(multiply(inverse(B),B),inverse(multiply(x101,inverse(multiply(multiply(inverse(C),C),inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C))))))))),multiply(inverse(A),A)))) = x101,
    inference(cp,[status(thm)],[eq_81,eq_9]) ).

cnf(eq_84,plain,
    inverse(inverse(multiply(inverse(multiply(multiply(inverse(B),B),inverse(multiply(x101,inverse(multiply(multiply(inverse(C),C),inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C))))))))),inverse(multiply(inverse(A),A))))) = x101,
    inference(cp,[status(thm)],[eq_82,eq_9]) ).

cnf(eq_85,plain,
    inverse(multiply(multiply(inverse(B),B),inverse(multiply(x101,inverse(multiply(inverse(x102),x102)))))) = x101,
    inference(cp,[status(thm)],[eq_79,eq_60]) ).

cnf(eq_86,plain,
    inverse(multiply(inverse(multiply(multiply(inverse(B),B),inverse(multiply(inverse(x101),inverse(multiply(multiply(inverse(C),C),inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C))))))))),multiply(inverse(A),A))) = x101,
    inference(cp,[status(thm)],[eq_81,eq_0]) ).

cnf(eq_87,plain,
    inverse(multiply(inverse(multiply(multiply(inverse(B),B),inverse(multiply(inverse(x101),inverse(multiply(multiply(inverse(C),C),inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C))))))))),inverse(multiply(inverse(A),A)))) = x101,
    inference(cp,[status(thm)],[eq_82,eq_0]) ).

cnf(eq_88,plain,
    multiply(multiply(inverse(B),B),inverse(multiply(inverse(A),A))) = multiply(inverse(x101),x101),
    inference(cp,[status(thm)],[eq_79,eq_46]) ).

cnf(eq_89,plain,
    multiply(inverse(A),A) = multiply(multiply(inverse(B),B),inverse(multiply(inverse(C),C))),
    eq_88 ).

cnf(eq_90,plain,
    A = inverse(multiply(multiply(inverse(B),B),inverse(multiply(A,inverse(multiply(inverse(C),C)))))),
    eq_85 ).

cnf(eq_91,plain,
    inverse(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),x102)))) = inverse(inverse(multiply(x102,inverse(multiply(inverse(x102),x102))))),
    inference(cp,[status(thm)],[eq_89,eq_9]) ).

cnf(eq_92,plain,
    inverse(multiply(multiply(inverse(x100),x100),inverse(multiply(x101,multiply(inverse(C),C))))) = x101,
    inference(cp,[status(thm)],[eq_80,eq_90]) ).

cnf(eq_93,plain,
    A = inverse(multiply(multiply(inverse(B),B),inverse(multiply(A,multiply(inverse(C),C))))),
    eq_92 ).

cnf(eq_94,plain,
    A = inverse(multiply(inverse(A),multiply(inverse(B),B))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_86,eq_93]),eq_90]) ).

cnf(eq_95,plain,
    A = multiply(inverse(inverse(A)),multiply(inverse(B),B)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_64,eq_93]),eq_74]) ).

cnf(eq_96,plain,
    A = inverse(inverse(multiply(A,inverse(multiply(inverse(B),B))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_84,eq_93]),eq_90]) ).

cnf(eq_97,plain,
    A = inverse(inverse(multiply(A,multiply(inverse(B),B)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_83,eq_93]),eq_90]) ).

cnf(eq_98,plain,
    A = inverse(multiply(inverse(A),inverse(multiply(inverse(B),B)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_87,eq_93]),eq_90]) ).

cnf(eq_99,plain,
    inverse(multiply(inverse(multiply(inverse(x100),x100)),A)) = inverse(A),
    inference(cp,[status(thm)],[eq_98,eq_74]) ).

cnf(eq_100,plain,
    inverse(multiply(multiply(inverse(x100),x100),A)) = inverse(A),
    inference(cp,[status(thm)],[eq_98,eq_90]) ).

cnf(eq_101,plain,
    inverse(multiply(inverse(multiply(inverse(x3),x3)),multiply(inverse(B),C))) = multiply(inverse(C),B),
    inference(cp,[status(thm)],[eq_62,eq_94]) ).

cnf(eq_102,plain,
    inverse(A) = inverse(multiply(multiply(inverse(B),B),A)),
    eq_100 ).

cnf(eq_103,plain,
    inverse(A) = inverse(multiply(inverse(multiply(inverse(B),B)),A)),
    eq_99 ).

cnf(eq_104,plain,
    multiply(inverse(inverse(A)),multiply(inverse(x101),x101)) = multiply(multiply(inverse(B),B),A),
    inference(cp,[status(thm)],[eq_102,eq_95]) ).

cnf(eq_105,plain,
    A = multiply(multiply(inverse(B),B),A),
    inference(rw,[status(thm)],[eq_104,eq_95]) ).

cnf(eq_106,plain,
    inverse(multiply(inverse(A),B)) = multiply(inverse(B),A),
    inference(rw,[status(thm)],[eq_101,eq_103]) ).

cnf(eq_107,plain,
    A = inverse(inverse(A)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_91,eq_103]),eq_102]),eq_96]) ).

cnf(eq_108,plain,
    A = multiply(A,multiply(inverse(B),B)),
    inference(cp,[status(thm)],[eq_97,eq_107]) ).

cnf(eq_109,plain,
    inverse(multiply(A,x101)) = multiply(inverse(x101),inverse(A)),
    inference(cp,[status(thm)],[eq_107,eq_106]) ).

cnf(eq_110,plain,
    multiply(multiply(A,inverse(A)),x101) = x101,
    inference(cp,[status(thm)],[eq_107,eq_105]) ).

cnf(eq_111,plain,
    inverse(multiply(A,B)) = multiply(inverse(B),inverse(A)),
    eq_109 ).

cnf(eq_112,plain,
    A = multiply(multiply(B,inverse(B)),A),
    eq_110 ).

cnf(eq_113,plain,
    A = multiply(inverse(B),multiply(B,A)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_57,eq_106]),eq_108]),eq_106]),eq_108]) ).

cnf(eq_114,plain,
    A = multiply(multiply(multiply(A,inverse(B)),inverse(C)),multiply(C,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)],[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)],[inference(rw,[status(thm)],[eq_9,eq_111]),eq_107]),eq_108]),eq_111]),eq_107]),eq_111]),eq_111]),eq_107]),eq_111]),eq_111]),eq_111]),eq_107]),eq_111]),eq_107]),eq_111]),eq_111]),eq_111]),eq_111]),eq_107]),eq_107]),eq_107]) ).

cnf(eq_115,plain,
    multiply(inverse(multiply(multiply(A,inverse(B)),inverse(C))),A) = multiply(C,B),
    inference(cp,[status(thm)],[eq_114,eq_113]) ).

cnf(eq_116,plain,
    A = multiply(multiply(A,inverse(B)),B),
    inference(cp,[status(thm)],[eq_114,eq_112]) ).

cnf(eq_117,plain,
    multiply(A,B) = multiply(multiply(A,multiply(B,inverse(C))),C),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_115,eq_111]),eq_107]),eq_111]),eq_107]) ).

cnf(eq_118,plain,
    multiply(multiply(x100,A),x102) = multiply(x100,multiply(A,inverse(inverse(x102)))),
    inference(cp,[status(thm)],[eq_116,eq_117]) ).

cnf(eq_119,plain,
    multiply(A,multiply(B,C)) = multiply(multiply(A,B),C),
    inference(rw,[status(thm)],[eq_118,eq_107]) ).

cnf(eq_120,negated_conjecture,
    multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
    inference(rw,[status(thm)],[eq_1,eq_119]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_120]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : GRP420-1 : TPTP v8.1.0. Released v2.6.0.
% 0.04/0.13  % Command  : run_maedmax %d %s
% 0.13/0.35  % Computer : n008.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Tue Jul 26 04:23:38 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 93.23/93.42  % SZS status Unsatisfiable
% 93.23/93.42  % SZS output start CNFRefutation for /tmp/MaedMax_12879
% See solution above
% 93.23/93.42  
%------------------------------------------------------------------------------