%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : TOP051-1 : TPTP v8.1.0. Released v8.1.0.
% 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 07:23:09 EDT 2022

% Result   : Unsatisfiable 24.09s 24.29s
% Output   : CNFRefutation 24.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   14
% Syntax   : Number of clauses     :  143 ( 143 unt;   0 nHn; 123 RR)
%            Number of literals    :  143 ( 142 equ;  10 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;  13 con; 0-10 aty)
%            Number of variables   :   34 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    X = product(X,X),
    file('/tmp/MaedMax_12075') ).

cnf(eq_1,axiom,
    X = product(product(X,Y),Y),
    file('/tmp/MaedMax_12075') ).

cnf(eq_2,axiom,
    product(product(X,Y),Z) = product(product(X,Z),product(Y,Z)),
    file('/tmp/MaedMax_12075') ).

cnf(eq_3,axiom,
    product(a1,a6) = a2,
    file('/tmp/MaedMax_12075') ).

cnf(eq_4,axiom,
    product(a2,a7) = a3,
    file('/tmp/MaedMax_12075') ).

cnf(eq_5,axiom,
    product(a3,a1) = a4,
    file('/tmp/MaedMax_12075') ).

cnf(eq_6,axiom,
    product(a4,a10) = a5,
    file('/tmp/MaedMax_12075') ).

cnf(eq_7,axiom,
    product(a5,a9) = a6,
    file('/tmp/MaedMax_12075') ).

cnf(eq_8,axiom,
    product(a6,a2) = a7,
    file('/tmp/MaedMax_12075') ).

cnf(eq_9,axiom,
    product(a7,a3) = a8,
    file('/tmp/MaedMax_12075') ).

cnf(eq_10,axiom,
    product(a8,a6) = a9,
    file('/tmp/MaedMax_12075') ).

cnf(eq_11,axiom,
    product(a9,a4) = a10,
    file('/tmp/MaedMax_12075') ).

cnf(eq_12,axiom,
    product(a10,a5) = a11,
    file('/tmp/MaedMax_12075') ).

cnf(eq_13,negated_conjecture,
    tuple(a1,a6,a5,a2,a7,a3,a4,a9,a10,a8) != tuple(a2,a7,a6,a3,a8,a4,a5,a10,a11,a9),
    file('/tmp/MaedMax_12075') ).

cnf(eq_14,plain,
    product(product(a5,a9),a2) = a7,
    inference(rw,[status(thm)],[eq_8,eq_7]) ).

cnf(eq_15,plain,
    product(a5,a10) = a4,
    inference(cp,[status(thm)],[eq_6,eq_1]) ).

cnf(eq_16,plain,
    product(a11,a5) = a10,
    inference(cp,[status(thm)],[eq_12,eq_1]) ).

cnf(eq_17,plain,
    product(a10,a4) = a9,
    inference(cp,[status(thm)],[eq_11,eq_1]) ).

cnf(eq_18,plain,
    product(X,product(x102,X)) = product(product(X,x102),X),
    inference(cp,[status(thm)],[eq_0,eq_2]) ).

cnf(eq_19,plain,
    product(X,product(x102,Y)) = product(product(product(X,Y),x102),Y),
    inference(cp,[status(thm)],[eq_1,eq_2]) ).

cnf(eq_20,plain,
    product(product(x100,Y),X) = product(product(x100,product(X,Y)),Y),
    inference(cp,[status(thm)],[eq_1,eq_2]) ).

cnf(eq_21,plain,
    product(product(X,Y),Z) = product(product(X,product(Z,Y)),Y),
    eq_20 ).

cnf(eq_22,plain,
    product(X,product(Y,X)) = product(product(X,Y),X),
    eq_18 ).

cnf(eq_23,plain,
    product(X,product(Y,Z)) = product(product(product(X,Z),Y),Z),
    eq_19 ).

cnf(eq_24,plain,
    product(a10,a4) = product(a8,a6),
    inference(rw,[status(thm)],[eq_17,eq_10]) ).

cnf(eq_25,plain,
    product(a2,a6) = a1,
    inference(cp,[status(thm)],[eq_3,eq_1]) ).

cnf(eq_26,plain,
    product(a5,product(a9,a4)) = a4,
    inference(rw,[status(thm)],[eq_15,eq_11]) ).

cnf(eq_27,plain,
    product(a9,a4) = product(a11,a5),
    inference(rw,[status(thm)],[eq_16,eq_11]) ).

cnf(eq_28,plain,
    product(a6,a9) = a5,
    inference(cp,[status(thm)],[eq_7,eq_1]) ).

cnf(eq_29,plain,
    product(product(a10,a4),a6) = a8,
    inference(cp,[status(thm)],[eq_24,eq_1]) ).

cnf(eq_30,plain,
    product(a9,a6) = a8,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_29,eq_11]),eq_1]) ).

cnf(eq_31,plain,
    product(a5,product(a11,a5)) = a4,
    inference(cp,[status(thm)],[eq_27,eq_26]) ).

cnf(eq_32,plain,
    product(a7,a3) = product(a9,a6),
    inference(rw,[status(thm)],[eq_30,eq_9]) ).

cnf(eq_33,plain,
    product(a3,a7) = a2,
    inference(cp,[status(thm)],[eq_4,eq_1]) ).

cnf(eq_34,plain,
    product(a7,a2) = a6,
    inference(cp,[status(thm)],[eq_8,eq_1]) ).

cnf(eq_35,plain,
    product(product(x100,a7),a2) = product(product(x100,a3),a7),
    inference(cp,[status(thm)],[eq_33,eq_2]) ).

cnf(eq_36,plain,
    product(product(x100,a2),a6) = product(product(x100,a7),a2),
    inference(cp,[status(thm)],[eq_34,eq_2]) ).

cnf(eq_37,plain,
    product(a6,product(a3,a7)) = a7,
    inference(cp,[status(thm)],[eq_33,eq_8]) ).

cnf(eq_38,plain,
    product(product(X,a2),a6) = product(product(X,a7),a2),
    eq_36 ).

cnf(eq_39,plain,
    product(product(Y,X),product(product(X,Y),X)) = product(product(product(Y,X),X),product(Y,X)),
    inference(cp,[status(thm)],[eq_22,eq_22]) ).

cnf(eq_40,plain,
    product(X,product(X,Y)) = product(product(X,Y),product(Y,product(X,Y))),
    inference(cp,[status(thm)],[eq_1,eq_22]) ).

cnf(eq_41,plain,
    product(X,product(X,Y)) = product(product(X,product(Y,X)),Y),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_39,eq_2]),eq_1]) ).

cnf(eq_42,plain,
    product(a7,a7) = product(product(a6,a7),a3),
    inference(cp,[status(thm)],[eq_37,eq_21]) ).

cnf(eq_43,plain,
    product(product(a6,a7),a3) = a7,
    inference(rw,[status(thm)],[eq_42,eq_0]) ).

cnf(eq_44,plain,
    product(product(X,product(X,Y)),product(Y,product(X,Y))) = product(X,Y),
    inference(cp,[status(thm)],[eq_2,eq_0]) ).

cnf(eq_45,plain,
    product(a2,x102) = product(product(a1,x102),product(a6,x102)),
    inference(cp,[status(thm)],[eq_3,eq_2]) ).

cnf(eq_46,plain,
    product(product(a1,X),product(a6,X)) = product(a2,X),
    eq_45 ).

cnf(eq_47,plain,
    product(a1,product(x102,a6)) = product(product(a2,x102),a6),
    inference(cp,[status(thm)],[eq_25,eq_2]) ).

cnf(eq_48,plain,
    product(a2,product(a7,a2)) = a1,
    inference(cp,[status(thm)],[eq_34,eq_25]) ).

cnf(eq_49,plain,
    product(product(a2,X),a6) = product(a1,product(X,a6)),
    eq_47 ).

cnf(eq_50,plain,
    product(product(a6,a9),product(a11,product(a6,a9))) = a4,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_31,eq_28]),eq_28]) ).

cnf(eq_51,plain,
    product(a9,a4) = product(a11,product(a6,a9)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_16,eq_28]),eq_11]) ).

cnf(eq_52,plain,
    product(product(a11,product(a6,a9)),a4) = a9,
    inference(cp,[status(thm)],[eq_51,eq_1]) ).

cnf(eq_53,plain,
    product(a1,a2) = product(a2,product(product(a7,a2),a2)),
    inference(cp,[status(thm)],[eq_48,eq_22]) ).

cnf(eq_54,plain,
    product(a3,a2) = product(a2,product(a7,a2)),
    inference(cp,[status(thm)],[eq_4,eq_22]) ).

cnf(eq_55,plain,
    product(a8,a7) = product(a7,product(a3,a7)),
    inference(cp,[status(thm)],[eq_9,eq_22]) ).

cnf(eq_56,plain,
    product(a3,a2) = a1,
    inference(rw,[status(thm)],[eq_54,eq_48]) ).

cnf(eq_57,plain,
    product(a1,a2) = a3,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_53,eq_1]),eq_4]) ).

cnf(eq_58,plain,
    product(a7,product(a3,a7)) = product(a8,a7),
    eq_55 ).

cnf(eq_59,plain,
    product(a3,a1) = product(a1,product(a2,a1)),
    inference(cp,[status(thm)],[eq_57,eq_22]) ).

cnf(eq_60,plain,
    product(a3,product(x102,a2)) = product(product(a1,x102),a2),
    inference(cp,[status(thm)],[eq_57,eq_2]) ).

cnf(eq_61,plain,
    product(product(x100,a2),a1) = product(product(x100,a3),a2),
    inference(cp,[status(thm)],[eq_56,eq_2]) ).

cnf(eq_62,plain,
    product(product(x100,a2),a3) = product(product(x100,a1),a2),
    inference(cp,[status(thm)],[eq_57,eq_2]) ).

cnf(eq_63,plain,
    product(product(X,a2),a1) = product(product(X,a3),a2),
    eq_61 ).

cnf(eq_64,plain,
    product(product(a1,X),a2) = product(a3,product(X,a2)),
    eq_60 ).

cnf(eq_65,plain,
    product(product(X,a1),a2) = product(product(X,a2),a3),
    eq_62 ).

cnf(eq_66,plain,
    product(product(a11,product(a6,a9)),a9) = product(a9,product(a4,a9)),
    inference(cp,[status(thm)],[eq_51,eq_22]) ).

cnf(eq_67,plain,
    product(product(a3,product(a3,a2)),product(a2,a1)) = product(a3,a2),
    inference(cp,[status(thm)],[eq_56,eq_44]) ).

cnf(eq_68,plain,
    product(a1,product(a6,a1)) = product(a2,a1),
    inference(cp,[status(thm)],[eq_0,eq_46]) ).

cnf(eq_69,plain,
    product(a2,a1) = product(product(a2,product(a6,a2)),a6),
    inference(cp,[status(thm)],[eq_25,eq_41]) ).

cnf(eq_70,plain,
    product(product(a6,a2),a1) = product(a6,product(a6,a1)),
    inference(cp,[status(thm)],[eq_3,eq_41]) ).

cnf(eq_71,plain,
    product(a1,product(a2,a1)) = a4,
    inference(rw,[status(thm)],[eq_59,eq_5]) ).

cnf(eq_72,plain,
    product(a2,a1) = product(a3,a6),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_69,eq_8]),eq_4]) ).

cnf(eq_73,plain,
    product(a4,product(a2,a1)) = a1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_67,eq_56]),eq_5]),eq_56]) ).

cnf(eq_74,negated_conjecture,
    tuple(a1,product(a5,a9),a5,a2,product(product(a5,a9),a2),a3,a4,a9,product(a11,a5),a8) != tuple(a2,product(product(a5,a9),a2),product(a5,a9),a3,a8,a4,a5,product(a11,a5),a11,a9),
    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_13,eq_7]),eq_14]),eq_16]),eq_14]),eq_7]),eq_16]) ).

cnf(eq_75,negated_conjecture,
    tuple(a1,a6,product(a6,a9),a2,a7,a3,a4,a9,product(a11,product(a6,a9)),product(a9,a6)) != tuple(a2,a7,a6,a3,product(a9,a6),a4,product(a6,a9),product(a11,product(a6,a9)),a11,a9),
    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_74,eq_28]),eq_28]),eq_28]),eq_28]),eq_30]),eq_1]),eq_1]),eq_8]),eq_28]),eq_28]),eq_30]),eq_28]),eq_28]),eq_1]),eq_1]),eq_8]) ).

cnf(eq_76,plain,
    product(a3,product(a6,a2)) = a2,
    inference(rw,[status(thm)],[eq_33,eq_8]) ).

cnf(eq_77,plain,
    product(product(a6,a2),a3) = product(a9,a6),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_9,eq_8]),eq_30]) ).

cnf(eq_78,plain,
    product(product(a9,a6),a3) = product(a6,a2),
    inference(cp,[status(thm)],[eq_77,eq_1]) ).

cnf(eq_79,plain,
    product(a2,a3) = product(a3,product(product(a6,a2),a3)),
    inference(cp,[status(thm)],[eq_76,eq_22]) ).

cnf(eq_80,negated_conjecture,
    tuple(product(a3,a2),a6,product(a6,a9),a2,a7,a3,a4,a9,product(a11,product(a6,a9)),product(a9,a6)) != tuple(a2,a7,a6,a3,product(a9,a6),a4,product(a6,a9),product(a11,product(a6,a9)),a11,a9),
    inference(cp,[status(thm)],[eq_56,eq_75]) ).

cnf(eq_81,plain,
    product(product(a9,a6),product(a6,a2)) = a6,
    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_58,eq_8]),eq_8]),eq_76]),eq_1]),eq_30]),eq_8]) ).

cnf(eq_82,plain,
    product(product(a6,a9),product(a11,product(a6,a9))) = product(a1,product(a2,a1)),
    inference(rw,[status(thm)],[eq_71,eq_50]) ).

cnf(eq_83,plain,
    product(a2,a3) = product(a3,product(a9,a6)),
    inference(rw,[status(thm)],[eq_79,eq_77]) ).

cnf(eq_84,plain,
    product(product(a3,a6),a2) = product(a2,product(a1,a2)),
    inference(cp,[status(thm)],[eq_72,eq_22]) ).

cnf(eq_85,plain,
    product(product(a2,a1),product(a6,a1)) = a1,
    inference(cp,[status(thm)],[eq_68,eq_1]) ).

cnf(eq_86,plain,
    product(a1,product(a3,a6)) = a4,
    inference(cp,[status(thm)],[eq_72,eq_71]) ).

cnf(eq_87,plain,
    product(product(a2,a3),a6) = a4,
    inference(rw,[status(thm)],[eq_86,eq_49]) ).

cnf(eq_88,plain,
    product(product(a3,a6),a2) = product(a2,a3),
    inference(rw,[status(thm)],[eq_84,eq_57]) ).

cnf(eq_89,plain,
    product(a6,a7) = product(a7,product(a2,a7)),
    inference(cp,[status(thm)],[eq_34,eq_22]) ).

cnf(eq_90,plain,
    product(a6,a7) = product(a9,a6),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_89,eq_4]),eq_32]) ).

cnf(eq_91,plain,
    product(product(a3,a6),product(a6,a1)) = a1,
    inference(rw,[status(thm)],[eq_85,eq_72]) ).

cnf(eq_92,plain,
    product(product(a2,a3),a2) = product(a3,a6),
    inference(cp,[status(thm)],[eq_88,eq_1]) ).

cnf(eq_93,plain,
    product(product(a2,a3),a6) = product(product(a3,a6),a9),
    inference(cp,[status(thm)],[eq_83,eq_21]) ).

cnf(eq_94,plain,
    product(product(a6,a2),a6) = product(a9,product(a3,a6)),
    inference(cp,[status(thm)],[eq_78,eq_23]) ).

cnf(eq_95,plain,
    product(product(a9,a6),a2) = product(a6,product(a3,a2)),
    inference(cp,[status(thm)],[eq_77,eq_23]) ).

cnf(eq_96,plain,
    product(a6,a1) = product(a9,product(a3,a6)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_94,eq_22]),eq_25]) ).

cnf(eq_97,plain,
    product(product(a9,a6),a2) = product(a6,a1),
    inference(rw,[status(thm)],[eq_95,eq_56]) ).

cnf(eq_98,plain,
    product(a6,a2) = product(product(product(a9,a6),a2),a6),
    inference(cp,[status(thm)],[eq_81,eq_21]) ).

cnf(eq_99,plain,
    product(a6,a6) = product(a9,product(product(a6,a2),a6)),
    inference(cp,[status(thm)],[eq_81,eq_23]) ).

cnf(eq_100,plain,
    product(a6,a2) = product(a9,product(a2,a6)),
    inference(rw,[status(thm)],[eq_98,eq_23]) ).

cnf(eq_101,plain,
    product(a2,product(a3,a2)) = product(a3,a6),
    inference(rw,[status(thm)],[eq_92,eq_22]) ).

cnf(eq_102,plain,
    product(a9,product(a6,product(a2,a6))) = a6,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_99,eq_0]),eq_22]) ).

cnf(eq_103,plain,
    product(a6,a2) = product(a9,a1),
    inference(rw,[status(thm)],[eq_100,eq_25]) ).

cnf(eq_104,plain,
    product(product(a9,a6),a2) = product(a9,product(a3,a6)),
    inference(rw,[status(thm)],[eq_96,eq_97]) ).

cnf(eq_105,plain,
    product(a9,product(product(a9,a6),a2)) = a6,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_102,eq_25]),eq_97]) ).

cnf(eq_106,plain,
    product(product(a6,a2),a2) = product(product(a9,a2),a3),
    inference(cp,[status(thm)],[eq_103,eq_65]) ).

cnf(eq_107,plain,
    product(product(a9,a2),a3) = a6,
    inference(rw,[status(thm)],[eq_106,eq_1]) ).

cnf(eq_108,plain,
    product(a6,a2) = product(a9,product(a3,a2)),
    inference(cp,[status(thm)],[eq_107,eq_23]) ).

cnf(eq_109,plain,
    product(product(X,a2),a6) = product(product(X,a3),a7),
    inference(rw,[status(thm)],[eq_35,eq_38]) ).

cnf(eq_110,plain,
    product(product(a1,a3),a2) = product(a1,product(a2,a1)),
    inference(cp,[status(thm)],[eq_63,eq_22]) ).

cnf(eq_111,plain,
    product(product(a9,a6),a3) = product(a9,product(a3,a2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_103,eq_78]),eq_56]) ).

cnf(eq_112,plain,
    product(a11,product(a11,product(a6,a9))) = a9,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_52,eq_50]),eq_40]) ).

cnf(eq_113,plain,
    product(product(a3,a6),a9) = a4,
    inference(rw,[status(thm)],[eq_87,eq_93]) ).

cnf(eq_114,plain,
    product(a9,product(a3,a2)) = a7,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_43,eq_90]),eq_111]) ).

cnf(eq_115,plain,
    product(a3,a2) = product(a4,product(a3,a6)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_73,eq_56]),eq_101]),eq_56]) ).

cnf(eq_116,plain,
    product(product(a11,product(a11,product(a6,a9))),product(product(a11,product(a6,a9)),a9)) = product(a11,product(a11,product(a11,product(a6,a9)))),
    inference(cp,[status(thm)],[eq_112,eq_40]) ).

cnf(eq_117,plain,
    product(a9,product(product(a11,a9),a6)) = product(a11,a9),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_116,eq_112]),eq_21]),eq_112]) ).

cnf(eq_118,plain,
    product(product(a4,product(a3,a6)),a6) = product(product(a3,a3),a7),
    inference(cp,[status(thm)],[eq_115,eq_109]) ).

cnf(eq_119,plain,
    product(product(a4,a6),a3) = a2,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_118,eq_21]),eq_0]),eq_33]) ).

cnf(eq_120,negated_conjecture,
    tuple(product(a4,product(a3,a6)),a6,product(a6,a9),a2,a7,a3,a4,a9,product(a11,product(a6,a9)),product(a9,a6)) != tuple(a2,a7,a6,a3,product(a9,a6),a4,product(a6,a9),product(a11,product(a6,a9)),a11,a9),
    inference(cp,[status(thm)],[eq_115,eq_80]) ).

cnf(eq_121,plain,
    product(product(a11,a9),a6) = product(a9,product(a3,a6)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_66,eq_21]),eq_113]),eq_1]) ).

cnf(eq_122,negated_conjecture,
    tuple(product(product(a3,a6),product(a9,product(a3,a6))),a6,product(a6,a9),a2,product(a9,product(a3,a2)),a3,product(product(a3,a6),a9),a9,product(a11,product(a6,a9)),product(a9,a6)) != tuple(a2,product(a9,product(a3,a2)),a6,a3,product(a9,a6),product(product(a3,a6),a9),product(a6,a9),product(a11,product(a6,a9)),a11,a9),
    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_120,eq_113]),eq_114]),eq_113]),eq_22]),eq_114]),eq_113]) ).

cnf(eq_123,plain,
    product(product(a9,a6),a2) = product(product(a11,a9),a6),
    inference(rw,[status(thm)],[eq_104,eq_121]) ).

cnf(eq_124,plain,
    product(a6,product(a3,a2)) = product(product(a11,a9),a6),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_95,eq_104]),eq_121]) ).

cnf(eq_125,plain,
    product(a11,a9) = a6,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_105,eq_123]),eq_117]) ).

cnf(eq_126,plain,
    product(a6,product(product(a11,a9),a6)) = a9,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_70,eq_108]),eq_56]),eq_1]),eq_56]),eq_124]) ).

cnf(eq_127,plain,
    product(product(a3,product(a11,a9)),a6) = product(a3,a2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_91,eq_56]),eq_124]),eq_2]),eq_56]) ).

cnf(eq_128,negated_conjecture,
    tuple(product(product(a3,product(a11,a9)),a6),a6,product(a6,a9),a2,product(a9,product(a3,a2)),a3,product(product(a3,a6),a9),a9,product(a11,product(a6,a9)),product(a9,a6)) != tuple(a2,product(a9,product(a3,a2)),a6,a3,product(a9,a6),product(product(a3,a6),a9),product(a6,a9),product(a11,product(a6,a9)),a11,a9),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_122,eq_121]),eq_2]) ).

cnf(eq_129,plain,
    product(a6,a9) = a11,
    inference(cp,[status(thm)],[eq_125,eq_1]) ).

cnf(eq_130,plain,
    product(a11,product(a11,product(product(a11,a9),a9))) = a9,
    inference(cp,[status(thm)],[eq_125,eq_112]) ).

cnf(eq_131,plain,
    product(a6,product(a6,a6)) = a9,
    inference(cp,[status(thm)],[eq_125,eq_126]) ).

cnf(eq_132,plain,
    a9 = a11,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_130,eq_1]),eq_0]),eq_0]) ).

cnf(eq_133,plain,
    a6 = a9,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_131,eq_0]),eq_0]) ).

cnf(eq_134,plain,
    product(a1,product(a2,a1)) = a9,
    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_82,eq_133]),eq_129]),eq_133]),eq_0]),eq_133]),eq_0]),eq_0]),eq_0]),eq_0]) ).

cnf(eq_135,plain,
    product(a3,a2) = 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_127,eq_129]),eq_133]),eq_133]),eq_0]),eq_0]),eq_1]) ).

cnf(eq_136,plain,
    a5 = a9,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_28,eq_133]),eq_0]) ).

cnf(eq_137,negated_conjecture,
    tuple(a2,product(a9,a3),a9,a3,a9,a3,a9,a9,a9,a9) != tuple(a3,a9,a9,a2,product(a9,a3),a3,a3,a9,a9,a9),
    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)],[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_128,eq_132]),eq_133]),eq_133]),eq_133]),eq_135]),eq_133]),eq_132]),eq_133]),eq_133]),eq_0]),eq_0]),eq_1]),eq_0]),eq_0]),eq_1]),eq_0]),eq_135]),eq_133]),eq_133]),eq_133]),eq_133]),eq_132]),eq_133]),eq_132]),eq_0]),eq_1]),eq_0]),eq_0]),eq_0]) ).

cnf(eq_138,plain,
    a3 = a9,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_110,eq_134]),eq_64]),eq_135]),eq_0]) ).

cnf(eq_139,plain,
    a2 = product(product(a5,product(a5,a9)),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_119,eq_31]),eq_133]),eq_129]),eq_133]),eq_0]),eq_41]) ).

cnf(eq_140,negated_conjecture,
    tuple(product(product(a5,product(a5,a9)),a3),product(a9,a3),a9,a3,a9,a3,a9,a9,a9,a9) != tuple(a3,a9,a9,product(product(a5,product(a5,a9)),a3),product(a9,a3),a3,a3,a9,a9,a9),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_137,eq_139]),eq_139]) ).

cnf(eq_141,negated_conjecture,
    tuple(a9,a9,a9,a9,a9,a9,a9,a9,a9,a9) != tuple(a9,a9,a9,a9,a9,a9,a9,a9,a9,a9),
    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_140,eq_136]),eq_136]),eq_138]),eq_138]),eq_138]),eq_138]),eq_0]),eq_0]),eq_0]),eq_0]),eq_138]),eq_136]),eq_136]),eq_138]),eq_138]),eq_138]),eq_138]),eq_0]),eq_0]),eq_0]),eq_0]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_141]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : TOP051-1 : TPTP v8.1.0. Released v8.1.0.
% 0.11/0.12  % Command  : run_maedmax %d %s
% 0.12/0.33  % Computer : n008.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 02:37:38 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 24.09/24.29  % SZS status Unsatisfiable
% 24.09/24.29  % SZS output start CNFRefutation for /tmp/MaedMax_12075
% See solution above
% 24.09/24.29  
%------------------------------------------------------------------------------