TSTP Solution File: TOP053-1 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : TOP053-1 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n023.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 57.99s 58.17s
% Output : CNFRefutation 58.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 19
% Syntax : Number of clauses : 201 ( 201 unt; 0 nHn; 179 RR)
% Number of literals : 201 ( 200 equ; 8 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 17 con; 0-14 aty)
% Number of variables : 38 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
X = product(X,X),
file('/tmp/MaedMax_26860') ).
cnf(eq_1,axiom,
X = product(product(X,Y),Y),
file('/tmp/MaedMax_26860') ).
cnf(eq_2,axiom,
product(product(X,Y),Z) = product(product(X,Z),product(Y,Z)),
file('/tmp/MaedMax_26860') ).
cnf(eq_3,axiom,
product(a1,a2) = a3,
file('/tmp/MaedMax_26860') ).
cnf(eq_4,axiom,
product(a3,a4) = a5,
file('/tmp/MaedMax_26860') ).
cnf(eq_5,axiom,
product(a5,a6) = a7,
file('/tmp/MaedMax_26860') ).
cnf(eq_6,axiom,
product(a7,a3) = a8,
file('/tmp/MaedMax_26860') ).
cnf(eq_7,axiom,
product(a8,a2) = a9,
file('/tmp/MaedMax_26860') ).
cnf(eq_8,axiom,
product(a9,a1) = a10,
file('/tmp/MaedMax_26860') ).
cnf(eq_9,axiom,
product(a10,a11) = a12,
file('/tmp/MaedMax_26860') ).
cnf(eq_10,axiom,
product(a12,a3) = a13,
file('/tmp/MaedMax_26860') ).
cnf(eq_11,axiom,
product(a13,a8) = a6,
file('/tmp/MaedMax_26860') ).
cnf(eq_12,axiom,
product(a6,a7) = a2,
file('/tmp/MaedMax_26860') ).
cnf(eq_13,axiom,
product(a2,a12) = a14,
file('/tmp/MaedMax_26860') ).
cnf(eq_14,axiom,
product(a14,a3) = a15,
file('/tmp/MaedMax_26860') ).
cnf(eq_15,axiom,
product(a15,a8) = a4,
file('/tmp/MaedMax_26860') ).
cnf(eq_16,axiom,
product(a4,a7) = a11,
file('/tmp/MaedMax_26860') ).
cnf(eq_17,axiom,
product(a11,a10) = a1,
file('/tmp/MaedMax_26860') ).
cnf(eq_18,negated_conjecture,
tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) != tuple(a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15),
file('/tmp/MaedMax_26860') ).
cnf(eq_19,plain,
product(product(a8,a2),a1) = a10,
inference(rw,[status(thm)],[eq_8,eq_7]) ).
cnf(eq_20,plain,
product(a5,product(a13,a8)) = a7,
inference(rw,[status(thm)],[eq_5,eq_11]) ).
cnf(eq_21,plain,
product(product(a13,a8),a7) = a2,
inference(rw,[status(thm)],[eq_12,eq_11]) ).
cnf(eq_22,plain,
product(a1,a10) = a11,
inference(cp,[status(thm)],[eq_17,eq_1]) ).
cnf(eq_23,plain,
product(a11,a7) = a4,
inference(cp,[status(thm)],[eq_16,eq_1]) ).
cnf(eq_24,plain,
product(a4,a8) = a15,
inference(cp,[status(thm)],[eq_15,eq_1]) ).
cnf(eq_25,plain,
product(a12,a11) = a10,
inference(cp,[status(thm)],[eq_9,eq_1]) ).
cnf(eq_26,plain,
product(a14,a12) = a2,
inference(cp,[status(thm)],[eq_13,eq_1]) ).
cnf(eq_27,plain,
product(X,product(x102,X)) = product(product(X,x102),X),
inference(cp,[status(thm)],[eq_0,eq_2]) ).
cnf(eq_28,plain,
product(X,product(x102,Y)) = product(product(product(X,Y),x102),Y),
inference(cp,[status(thm)],[eq_1,eq_2]) ).
cnf(eq_29,plain,
product(a11,product(x102,a7)) = product(product(a4,x102),a7),
inference(cp,[status(thm)],[eq_16,eq_2]) ).
cnf(eq_30,plain,
product(a4,product(x102,a8)) = product(product(a15,x102),a8),
inference(cp,[status(thm)],[eq_15,eq_2]) ).
cnf(eq_31,plain,
product(product(x100,Y),X) = product(product(x100,product(X,Y)),Y),
inference(cp,[status(thm)],[eq_1,eq_2]) ).
cnf(eq_32,plain,
product(product(x100,a8),a4) = product(product(x100,a15),a8),
inference(cp,[status(thm)],[eq_15,eq_2]) ).
cnf(eq_33,plain,
product(product(X,a8),a4) = product(product(X,a15),a8),
eq_32 ).
cnf(eq_34,plain,
product(product(a15,X),a8) = product(a4,product(X,a8)),
eq_30 ).
cnf(eq_35,plain,
product(product(X,Y),Z) = product(product(X,product(Z,Y)),Y),
eq_31 ).
cnf(eq_36,plain,
product(X,product(Y,X)) = product(product(X,Y),X),
eq_27 ).
cnf(eq_37,plain,
product(X,product(Y,Z)) = product(product(product(X,Z),Y),Z),
eq_28 ).
cnf(eq_38,plain,
product(product(a4,X),a7) = product(a11,product(X,a7)),
eq_29 ).
cnf(eq_39,plain,
product(product(a4,a7),a10) = a1,
inference(rw,[status(thm)],[eq_17,eq_16]) ).
cnf(eq_40,plain,
product(a5,a4) = a3,
inference(cp,[status(thm)],[eq_4,eq_1]) ).
cnf(eq_41,plain,
product(a7,a6) = a5,
inference(cp,[status(thm)],[eq_5,eq_1]) ).
cnf(eq_42,plain,
product(a6,a8) = a13,
inference(cp,[status(thm)],[eq_11,eq_1]) ).
cnf(eq_43,plain,
product(a8,a3) = a7,
inference(cp,[status(thm)],[eq_6,eq_1]) ).
cnf(eq_44,plain,
product(a10,a1) = a9,
inference(cp,[status(thm)],[eq_8,eq_1]) ).
cnf(eq_45,plain,
product(a13,a3) = a12,
inference(cp,[status(thm)],[eq_10,eq_1]) ).
cnf(eq_46,plain,
product(a15,product(x102,a8)) = product(product(a4,x102),a8),
inference(cp,[status(thm)],[eq_24,eq_2]) ).
cnf(eq_47,plain,
product(product(x100,a3),a8) = product(product(x100,a7),a3),
inference(cp,[status(thm)],[eq_6,eq_2]) ).
cnf(eq_48,plain,
product(product(X,a3),a8) = product(product(X,a7),a3),
eq_47 ).
cnf(eq_49,plain,
product(product(a4,X),a8) = product(a15,product(X,a8)),
eq_46 ).
cnf(eq_50,plain,
product(a14,product(a13,a3)) = a2,
inference(rw,[status(thm)],[eq_26,eq_45]) ).
cnf(eq_51,plain,
product(a3,a2) = a1,
inference(cp,[status(thm)],[eq_3,eq_1]) ).
cnf(eq_52,plain,
a15 = product(a14,product(a5,a4)),
inference(rw,[status(thm)],[eq_14,eq_40]) ).
cnf(eq_53,plain,
product(a4,a8) = product(a14,product(a5,a4)),
inference(rw,[status(thm)],[eq_24,eq_52]) ).
cnf(eq_54,plain,
product(a8,product(a5,a4)) = a7,
inference(rw,[status(thm)],[eq_43,eq_40]) ).
cnf(eq_55,plain,
product(a7,product(a5,a4)) = a8,
inference(rw,[status(thm)],[eq_6,eq_40]) ).
cnf(eq_56,plain,
product(product(a5,a4),a2) = a1,
inference(rw,[status(thm)],[eq_51,eq_40]) ).
cnf(eq_57,plain,
product(a1,a2) = product(a5,a4),
inference(rw,[status(thm)],[eq_3,eq_40]) ).
cnf(eq_58,plain,
product(a14,product(a13,product(a5,a4))) = a2,
inference(rw,[status(thm)],[eq_50,eq_40]) ).
cnf(eq_59,plain,
product(a13,product(a5,a4)) = a12,
inference(rw,[status(thm)],[eq_45,eq_40]) ).
cnf(eq_60,plain,
a3 = product(product(a7,a6),a4),
inference(rw,[status(thm)],[eq_40,eq_41]) ).
cnf(eq_61,plain,
product(product(product(a7,a6),a4),a2) = a1,
inference(rw,[status(thm)],[eq_51,eq_60]) ).
cnf(eq_62,plain,
product(a7,product(product(a7,a6),a4)) = a8,
inference(rw,[status(thm)],[eq_55,eq_41]) ).
cnf(eq_63,plain,
product(a2,a7) = a6,
inference(cp,[status(thm)],[eq_12,eq_1]) ).
cnf(eq_64,plain,
product(a14,product(product(a7,a6),a4)) = a15,
inference(rw,[status(thm)],[eq_14,eq_60]) ).
cnf(eq_65,plain,
product(a7,a2) = a10,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_19,eq_62]),eq_61]),eq_2]),eq_1]) ).
cnf(eq_66,plain,
product(a3,a4) = product(a7,a6),
inference(rw,[status(thm)],[eq_4,eq_41]) ).
cnf(eq_67,plain,
product(a15,product(product(a7,a6),a4)) = a14,
inference(cp,[status(thm)],[eq_64,eq_1]) ).
cnf(eq_68,plain,
product(product(X,product(Y,X)),product(x102,X)) = product(product(product(X,Y),x102),X),
inference(cp,[status(thm)],[eq_36,eq_2]) ).
cnf(eq_69,plain,
product(product(x100,X),product(X,product(Y,X))) = product(product(x100,product(X,Y)),X),
inference(cp,[status(thm)],[eq_36,eq_2]) ).
cnf(eq_70,plain,
product(product(X,product(Y,X)),product(Z,X)) = product(product(product(X,Y),Z),X),
eq_68 ).
cnf(eq_71,plain,
product(product(X,Y),product(Y,product(Z,Y))) = product(product(X,product(Y,Z)),Y),
eq_69 ).
cnf(eq_72,plain,
product(a15,product(product(a7,product(a2,a7)),a4)) = a14,
inference(rw,[status(thm)],[eq_67,eq_63]) ).
cnf(eq_73,plain,
product(a7,product(a2,a7)) = a5,
inference(rw,[status(thm)],[eq_41,eq_63]) ).
cnf(eq_74,plain,
product(a15,product(a5,a4)) = a14,
inference(rw,[status(thm)],[eq_72,eq_73]) ).
cnf(eq_75,plain,
product(a14,product(a5,a4)) = a15,
inference(rw,[status(thm)],[eq_14,eq_40]) ).
cnf(eq_76,plain,
product(a15,product(a7,a3)) = a4,
inference(rw,[status(thm)],[eq_15,eq_6]) ).
cnf(eq_77,plain,
product(a10,a2) = a7,
inference(cp,[status(thm)],[eq_65,eq_1]) ).
cnf(eq_78,plain,
a2 = product(a6,product(a5,a6)),
inference(rw,[status(thm)],[eq_12,eq_5]) ).
cnf(eq_79,plain,
product(a12,x102) = product(product(a10,x102),product(a11,x102)),
inference(cp,[status(thm)],[eq_9,eq_2]) ).
cnf(eq_80,plain,
product(product(a10,X),product(a11,X)) = product(a12,X),
eq_79 ).
cnf(eq_81,plain,
product(a15,product(x102,a3)) = product(product(a14,x102),a3),
inference(cp,[status(thm)],[eq_14,eq_2]) ).
cnf(eq_82,plain,
product(product(a14,X),a3) = product(a15,product(X,a3)),
eq_81 ).
cnf(eq_83,plain,
product(a9,a1) = product(a12,a11),
inference(rw,[status(thm)],[eq_8,eq_25]) ).
cnf(eq_84,plain,
product(product(a9,a1),a11) = a12,
inference(cp,[status(thm)],[eq_83,eq_1]) ).
cnf(eq_85,plain,
product(product(a10,a10),a1) = product(a12,a10),
inference(cp,[status(thm)],[eq_17,eq_80]) ).
cnf(eq_86,plain,
product(a12,a10) = a9,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_85,eq_0]),eq_44]) ).
cnf(eq_87,plain,
product(a11,product(a9,a1)) = a1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_39,eq_16]),eq_8]) ).
cnf(eq_88,plain,
product(a12,product(a9,a1)) = a9,
inference(rw,[status(thm)],[eq_86,eq_8]) ).
cnf(eq_89,plain,
product(product(a14,a7),a3) = a4,
inference(cp,[status(thm)],[eq_82,eq_76]) ).
cnf(eq_90,plain,
product(a1,a11) = product(a11,product(product(a9,a1),a11)),
inference(cp,[status(thm)],[eq_87,eq_36]) ).
cnf(eq_91,plain,
product(a9,product(a9,a1)) = a12,
inference(cp,[status(thm)],[eq_88,eq_1]) ).
cnf(eq_92,plain,
product(a2,a3) = product(a15,product(a12,a3)),
inference(cp,[status(thm)],[eq_26,eq_82]) ).
cnf(eq_93,plain,
product(a2,a3) = product(a15,a13),
inference(rw,[status(thm)],[eq_92,eq_10]) ).
cnf(eq_94,plain,
product(a1,a11) = product(a11,a12),
inference(rw,[status(thm)],[eq_90,eq_84]) ).
cnf(eq_95,plain,
product(product(a1,a11),a12) = a11,
inference(cp,[status(thm)],[eq_94,eq_1]) ).
cnf(eq_96,plain,
product(product(a2,a3),a13) = a15,
inference(cp,[status(thm)],[eq_93,eq_1]) ).
cnf(eq_97,plain,
product(a5,product(a15,a8)) = a3,
inference(rw,[status(thm)],[eq_40,eq_15]) ).
cnf(eq_98,plain,
product(a5,product(a13,a8)) = product(a8,a3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_5,eq_11]),eq_43]) ).
cnf(eq_99,plain,
product(a3,product(a15,a8)) = a5,
inference(rw,[status(thm)],[eq_4,eq_15]) ).
cnf(eq_100,plain,
product(product(a1,a11),product(a13,a3)) = a11,
inference(rw,[status(thm)],[eq_95,eq_45]) ).
cnf(eq_101,plain,
product(a4,a3) = product(a14,a7),
inference(cp,[status(thm)],[eq_89,eq_1]) ).
cnf(eq_102,plain,
a12 = product(a9,a10),
inference(rw,[status(thm)],[eq_91,eq_8]) ).
cnf(eq_103,plain,
product(a7,product(a13,a8)) = a5,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_66,eq_15]),eq_99]),eq_11]) ).
cnf(eq_104,plain,
product(a11,a7) = product(a15,a8),
inference(rw,[status(thm)],[eq_15,eq_23]) ).
cnf(eq_105,plain,
product(a5,product(a11,a7)) = a3,
inference(rw,[status(thm)],[eq_40,eq_23]) ).
cnf(eq_106,plain,
product(product(a15,a8),a7) = a11,
inference(cp,[status(thm)],[eq_104,eq_1]) ).
cnf(eq_107,plain,
product(product(a13,product(a5,a4)),a11) = a10,
inference(rw,[status(thm)],[eq_25,eq_59]) ).
cnf(eq_108,plain,
product(a10,a11) = product(a13,product(a5,a4)),
inference(rw,[status(thm)],[eq_9,eq_59]) ).
cnf(eq_109,negated_conjecture,
tuple(product(a14,product(a13,product(a5,a4))),product(a5,a4),a4,a5,a6,a7,a8,a9,a10,a11,product(a13,product(a5,a4)),a13,a14,a15) != tuple(a1,product(a14,product(a13,product(a5,a4))),product(a5,a4),a4,a5,a6,a7,a8,a9,a10,a11,product(a13,product(a5,a4)),a13,a14),
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_18,eq_58]),eq_40]),eq_59]),eq_58]),eq_40]),eq_59]) ).
cnf(eq_110,plain,
product(product(a4,a8),product(a5,a4)) = a14,
inference(cp,[status(thm)],[eq_24,eq_74]) ).
cnf(eq_111,negated_conjecture,
tuple(a1,product(product(a15,product(a5,a4)),product(a13,product(a5,a4))),product(a5,a4),a4,a5,a6,a7,a8,a9,a10,a11,product(a13,product(a5,a4)),a13,a14) != tuple(product(a14,product(a13,product(a5,a4))),product(a5,a4),a4,a5,a6,a7,a8,a9,a10,a11,product(a13,product(a5,a4)),a13,a14,a15),
inference(cp,[status(thm)],[eq_74,eq_109]) ).
cnf(eq_112,negated_conjecture,
tuple(product(a14,product(a13,product(a5,a4))),product(a5,a4),a4,a5,a6,a7,a8,a9,a10,a11,product(a13,product(a5,a4)),a13,a14,a15) != tuple(a1,product(product(a15,a13),product(a5,a4)),product(a5,a4),a4,a5,a6,a7,a8,a9,a10,a11,product(a13,product(a5,a4)),a13,a14),
inference(rw,[status(thm)],[eq_111,eq_2]) ).
cnf(eq_113,plain,
product(a11,product(product(a13,product(a5,a4)),a11)) = a1,
inference(rw,[status(thm)],[eq_17,eq_107]) ).
cnf(eq_114,plain,
product(product(a15,a13),product(a5,a4)) = a2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_58,eq_74]),eq_2]) ).
cnf(eq_115,plain,
product(product(a15,product(a5,a4)),a12) = a2,
inference(rw,[status(thm)],[eq_26,eq_74]) ).
cnf(eq_116,plain,
a9 = product(product(product(a13,product(a5,a4)),a11),a1),
inference(rw,[status(thm)],[eq_44,eq_107]) ).
cnf(eq_117,negated_conjecture,
tuple(product(product(a15,a13),product(a5,a4)),product(a5,a4),a4,a5,a6,a7,a8,product(product(product(a13,product(a5,a4)),a11),a1),product(product(a13,product(a5,a4)),a11),a11,product(a13,product(a5,a4)),a13,product(a15,product(a5,a4)),a15) != tuple(a1,product(product(a15,a13),product(a5,a4)),product(a5,a4),a4,a5,a6,a7,a8,product(product(product(a13,product(a5,a4)),a11),a1),product(product(a13,product(a5,a4)),a11),a11,product(a13,product(a5,a4)),a13,product(a15,product(a5,a4))),
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_112,eq_74]),eq_116]),eq_107]),eq_74]),eq_2]),eq_116]),eq_107]),eq_74]) ).
cnf(eq_118,plain,
product(a8,product(a1,a2)) = a7,
inference(cp,[status(thm)],[eq_57,eq_54]) ).
cnf(eq_119,plain,
product(a4,product(a5,product(a13,a8))) = a11,
inference(rw,[status(thm)],[eq_16,eq_20]) ).
cnf(eq_120,plain,
product(a5,product(a13,a8)) = product(a8,product(a5,a4)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_118,eq_57]),eq_20]) ).
cnf(eq_121,plain,
product(a1,product(product(a15,a13),product(a5,a4))) = a3,
inference(cp,[status(thm)],[eq_114,eq_3]) ).
cnf(eq_122,plain,
product(product(a5,a4),a2) = product(product(product(a5,a4),product(a15,a13)),product(a5,a4)),
inference(cp,[status(thm)],[eq_114,eq_36]) ).
cnf(eq_123,plain,
product(product(product(a5,a4),product(a15,a13)),product(a5,a4)) = a1,
inference(rw,[status(thm)],[eq_122,eq_56]) ).
cnf(eq_124,plain,
product(a1,product(product(a15,a13),product(a5,a4))) = product(a5,a4),
inference(rw,[status(thm)],[eq_121,eq_40]) ).
cnf(eq_125,plain,
product(a8,product(product(a15,a13),product(a5,a4))) = a9,
inference(rw,[status(thm)],[eq_7,eq_114]) ).
cnf(eq_126,plain,
product(X,product(a8,a4)) = product(product(product(X,a4),a15),a8),
inference(cp,[status(thm)],[eq_37,eq_33]) ).
cnf(eq_127,plain,
product(a5,product(a11,product(a5,product(a13,a8)))) = a3,
inference(rw,[status(thm)],[eq_105,eq_20]) ).
cnf(eq_128,plain,
product(a11,product(a5,product(a13,a8))) = product(a15,a8),
inference(rw,[status(thm)],[eq_104,eq_20]) ).
cnf(eq_129,plain,
product(product(product(a13,product(a5,a4)),a11),a1) = a9,
inference(rw,[status(thm)],[eq_44,eq_107]) ).
cnf(eq_130,plain,
product(a11,a8) = product(a15,product(product(a5,product(a13,a8)),a8)),
inference(cp,[status(thm)],[eq_119,eq_49]) ).
cnf(eq_131,plain,
product(a11,a8) = product(a15,product(product(a5,a8),a13)),
inference(rw,[status(thm)],[eq_130,eq_35]) ).
cnf(eq_132,plain,
product(product(a11,a8),product(product(a5,a8),a13)) = a15,
inference(cp,[status(thm)],[eq_131,eq_1]) ).
cnf(eq_133,plain,
product(a1,a11) = product(product(a11,a11),product(a13,product(a5,a4))),
inference(cp,[status(thm)],[eq_113,eq_35]) ).
cnf(eq_134,plain,
product(a1,a11) = product(a11,product(a13,product(a5,a4))),
inference(rw,[status(thm)],[eq_133,eq_0]) ).
cnf(eq_135,plain,
product(product(X,product(a8,a4)),a8) = product(product(X,a4),a15),
inference(cp,[status(thm)],[eq_126,eq_1]) ).
cnf(eq_136,plain,
product(a5,product(a11,product(a8,a3))) = a3,
inference(rw,[status(thm)],[eq_127,eq_98]) ).
cnf(eq_137,plain,
product(a10,a11) = product(a13,a3),
inference(rw,[status(thm)],[eq_108,eq_40]) ).
cnf(eq_138,plain,
product(product(a7,product(a13,a8)),product(a11,a7)) = a3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_136,eq_103]),eq_43]) ).
cnf(eq_139,plain,
product(product(a14,a3),a8) = product(a11,a7),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_128,eq_103]),eq_1]),eq_14]) ).
cnf(eq_140,plain,
product(a2,a7) = product(a13,a8),
inference(rw,[status(thm)],[eq_63,eq_11]) ).
cnf(eq_141,plain,
product(a13,product(product(a3,a8),a13)) = product(a14,a3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_96,eq_21]),eq_48]),eq_37]),eq_36]),eq_14]) ).
cnf(eq_142,plain,
product(product(a7,product(a13,a8)),a4) = a3,
inference(rw,[status(thm)],[eq_40,eq_103]) ).
cnf(eq_143,plain,
a15 = product(a13,product(product(a3,a8),a13)),
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_132,eq_103]),eq_35]),eq_1]),eq_2]),eq_139]),eq_141]),eq_1]) ).
cnf(eq_144,plain,
product(product(a13,product(product(a3,a8),a13)),a3) = a14,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_74,eq_143]),eq_103]),eq_142]) ).
cnf(eq_145,plain,
product(product(a14,a7),a7) = product(a11,product(a3,a7)),
inference(cp,[status(thm)],[eq_101,eq_38]) ).
cnf(eq_146,plain,
product(a11,product(a3,a7)) = a14,
inference(rw,[status(thm)],[eq_145,eq_1]) ).
cnf(eq_147,plain,
product(a3,product(a14,a12)) = a1,
inference(rw,[status(thm)],[eq_51,eq_26]) ).
cnf(eq_148,plain,
product(a4,a8) = product(a13,product(product(product(a5,a4),a8),a13)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_141,eq_40]),eq_110]),eq_40]),eq_1]) ).
cnf(eq_149,plain,
product(a13,product(product(product(a5,a4),a8),a13)) = a15,
inference(rw,[status(thm)],[eq_148,eq_24]) ).
cnf(eq_150,plain,
product(a15,a4) = product(product(a14,a4),a5),
inference(cp,[status(thm)],[eq_75,eq_35]) ).
cnf(eq_151,plain,
product(product(a14,a4),a5) = product(a15,a4),
eq_150 ).
cnf(eq_152,plain,
product(product(a15,a4),a15) = product(a4,product(product(a8,a4),a8)),
inference(cp,[status(thm)],[eq_135,eq_34]) ).
cnf(eq_153,plain,
product(a14,product(a9,a10)) = a2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_115,eq_52]),eq_102]),eq_1]) ).
cnf(eq_154,plain,
a3 = product(product(product(a10,product(product(a14,a10),a9)),product(a14,product(a9,a10))),product(a11,product(a10,product(a14,product(a9,a10))))),
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_138,eq_77]),eq_140]),eq_77]),eq_153]),eq_153]),eq_77]),eq_153]),eq_153]),eq_71]),eq_35]) ).
cnf(eq_155,plain,
a7 = product(a10,product(a14,product(a9,a10))),
inference(rw,[status(thm)],[eq_77,eq_153]) ).
cnf(eq_156,plain,
product(a11,product(a10,a11)) = a14,
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_146,eq_154]),eq_155]),eq_35]),eq_2]),eq_36]),eq_37]),eq_1]) ).
cnf(eq_157,plain,
product(a14,product(a10,a11)) = a11,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_100,eq_17]),eq_137]),eq_36]),eq_156]) ).
cnf(eq_158,plain,
product(product(a15,a13),product(a5,a4)) = a11,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_157,eq_74]),eq_107]),eq_1]),eq_2]) ).
cnf(eq_159,plain,
product(a1,a11) = product(a15,product(a5,a4)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_156,eq_107]),eq_1]),eq_134]),eq_74]) ).
cnf(eq_160,plain,
product(a9,a11) = product(product(a13,product(a5,a4)),product(a1,a11)),
inference(cp,[status(thm)],[eq_129,eq_37]) ).
cnf(eq_161,plain,
product(a11,product(a5,a4)) = product(a15,a13),
inference(cp,[status(thm)],[eq_158,eq_1]) ).
cnf(eq_162,plain,
product(a1,a11) = product(a5,a4),
inference(cp,[status(thm)],[eq_158,eq_124]) ).
cnf(eq_163,plain,
product(a8,a11) = a9,
inference(cp,[status(thm)],[eq_158,eq_125]) ).
cnf(eq_164,plain,
product(a4,a8) = product(a5,a4),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_53,eq_74]),eq_159]),eq_162]),eq_2]),eq_0]) ).
cnf(eq_165,plain,
a14 = product(a5,a4),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_74,eq_159]),eq_162]) ).
cnf(eq_166,plain,
product(a5,a4) = a15,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_148,eq_164]),eq_149]) ).
cnf(eq_167,plain,
product(a15,a4) = a5,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_151,eq_165]),eq_1]),eq_0]) ).
cnf(eq_168,plain,
product(a15,product(a4,a15)) = a11,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_152,eq_36]),eq_36]),eq_164]),eq_120]),eq_119]) ).
cnf(eq_169,plain,
product(a9,a11) = a13,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_160,eq_162]),eq_1]) ).
cnf(eq_170,plain,
product(a15,product(a15,product(a8,a15))) = a11,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_168,eq_15]),eq_36]) ).
cnf(eq_171,plain,
product(a5,product(a15,a8)) = a15,
inference(rw,[status(thm)],[eq_166,eq_15]) ).
cnf(eq_172,plain,
product(a15,product(a15,a8)) = a5,
inference(rw,[status(thm)],[eq_167,eq_15]) ).
cnf(eq_173,plain,
a3 = a15,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_40,eq_15]),eq_171]) ).
cnf(eq_174,plain,
a14 = a15,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_74,eq_15]),eq_171]),eq_0]) ).
cnf(eq_175,plain,
product(a15,product(a6,a8)) = a5,
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_161,eq_170]),eq_15]),eq_171]),eq_36]),eq_35]),eq_0]),eq_172]),eq_42]) ).
cnf(eq_176,plain,
product(a6,a8) = a8,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_169,eq_163]),eq_1]),eq_42]) ).
cnf(eq_177,plain,
a2 = product(a6,product(product(a14,product(a14,a8)),a6)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_78,eq_172]),eq_174]),eq_174]) ).
cnf(eq_178,plain,
a3 = a14,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_97,eq_172]),eq_174]),eq_174]),eq_174]),eq_1]) ).
cnf(eq_179,plain,
a7 = product(product(a14,product(a14,a8)),a6),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_5,eq_172]),eq_174]),eq_174]) ).
cnf(eq_180,plain,
a13 = a8,
inference(rw,[status(thm)],[eq_42,eq_176]) ).
cnf(eq_181,plain,
a8 = a14,
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_144,eq_180]),eq_178]),eq_180]),eq_178]),eq_1]),eq_1]) ).
cnf(eq_182,plain,
a6 = a8,
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_177]),eq_179]),eq_70]),eq_1]),eq_0]),eq_180]),eq_0]) ).
cnf(eq_183,plain,
product(a14,a8) = a4,
inference(rw,[status(thm)],[eq_15,eq_174]) ).
cnf(eq_184,plain,
product(a14,a14) = a4,
inference(cp,[status(thm)],[eq_181,eq_183]) ).
cnf(eq_185,plain,
a6 = a14,
inference(cp,[status(thm)],[eq_182,eq_181]) ).
cnf(eq_186,plain,
a4 = a14,
inference(rw,[status(thm)],[eq_184,eq_0]) ).
cnf(eq_187,plain,
product(a14,a7) = a11,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_106,eq_174]),eq_181]),eq_0]) ).
cnf(eq_188,plain,
a11 = a14,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_168,eq_174]),eq_186]),eq_174]),eq_0]),eq_0]) ).
cnf(eq_189,plain,
a5 = a14,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_175,eq_174]),eq_185]),eq_181]),eq_0]),eq_0]) ).
cnf(eq_190,plain,
a13 = a14,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_42,eq_185]),eq_181]),eq_0]) ).
cnf(eq_191,plain,
product(a3,a11) = a1,
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_147,eq_156]),eq_9]),eq_70]),eq_17]),eq_22]),eq_0]) ).
cnf(eq_192,plain,
a11 = a15,
inference(rw,[status(thm)],[eq_188,eq_174]) ).
cnf(eq_193,plain,
a3 = a7,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_142,eq_190]),eq_181]),eq_186]),eq_0]),eq_1]) ).
cnf(eq_194,plain,
a1 = a14,
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_123,eq_189]),eq_186]),eq_174]),eq_190]),eq_189]),eq_186]),eq_0]),eq_0]),eq_0]),eq_0]),eq_0]) ).
cnf(eq_195,negated_conjecture,
tuple(a1,a14,a14,a14,a14,a14,a7,a14,product(product(a14,product(a14,a7)),a1),product(a14,product(a14,a7)),product(a14,a7),a14,a14,a14) != tuple(a14,a14,a14,a14,a14,a7,a14,product(product(a14,product(a14,a7)),a1),product(a14,product(a14,a7)),product(a14,a7),a14,a14,a14,a14),
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)],[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)],[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_117,eq_174]),eq_190]),eq_189]),eq_186]),eq_189]),eq_186]),eq_186]),eq_189]),eq_185]),eq_181]),eq_190]),eq_189]),eq_186]),eq_187]),eq_190]),eq_189]),eq_186]),eq_187]),eq_187]),eq_190]),eq_189]),eq_186]),eq_190]),eq_174]),eq_189]),eq_186]),eq_174]),eq_0]),eq_0]),eq_0]),eq_0]),eq_0]),eq_0]),eq_0]),eq_0]),eq_0]),eq_0]),eq_0]),eq_0]),eq_174]),eq_190]),eq_189]),eq_186]),eq_189]),eq_186]),eq_186]),eq_189]),eq_185]),eq_181]),eq_190]),eq_189]),eq_186]),eq_187]),eq_190]),eq_189]),eq_186]),eq_187]),eq_187]),eq_190]),eq_189]),eq_186]),eq_190]),eq_174]),eq_189]),eq_186]),eq_0]),eq_0]),eq_0]),eq_0]),eq_0]),eq_0]),eq_0]),eq_0]),eq_0]),eq_0]),eq_0]),eq_0]) ).
cnf(eq_196,plain,
a11 = a3,
inference(rw,[status(thm)],[eq_192,eq_173]) ).
cnf(eq_197,plain,
a1 = a3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_191,eq_196]),eq_0]) ).
cnf(eq_198,negated_conjecture,
tuple(a1,a1,a1,a1,a1,a1,a3,a1,product(a1,product(a1,product(a3,a1))),product(a1,product(a1,a3)),product(a1,a3),a1,a1,a1) != tuple(a1,a1,a1,a1,a1,a3,a1,product(a1,product(a1,product(a3,a1))),product(a1,product(a1,a3)),product(a1,a3),a1,a1,a1,a1),
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)],[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_195,eq_194]),eq_194]),eq_194]),eq_194]),eq_194]),eq_193]),eq_194]),eq_194]),eq_194]),eq_193]),eq_194]),eq_194]),eq_193]),eq_194]),eq_193]),eq_194]),eq_194]),eq_194]),eq_36]),eq_36]),eq_194]),eq_194]),eq_194]),eq_194]),eq_194]),eq_193]),eq_194]),eq_194]),eq_194]),eq_193]),eq_194]),eq_194]),eq_193]),eq_194]),eq_193]),eq_194]),eq_194]),eq_194]),eq_194]),eq_36]),eq_36]) ).
cnf(eq_199,negated_conjecture,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
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_198,eq_197]),eq_197]),eq_197]),eq_197]),eq_0]),eq_0]),eq_0]),eq_0]),eq_0]),eq_0]),eq_197]),eq_197]),eq_197]),eq_197]),eq_0]),eq_0]),eq_0]),eq_0]),eq_0]),eq_0]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_199]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : TOP053-1 : TPTP v8.1.0. Released v8.1.0.
% 0.06/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n023.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 02:55:18 EDT 2022
% 0.12/0.33 % CPUTime :
% 57.99/58.17 % SZS status Unsatisfiable
% 57.99/58.17 % SZS output start CNFRefutation for /tmp/MaedMax_26860
% See solution above
% 58.00/58.18
%------------------------------------------------------------------------------