TSTP Solution File: SWV505-1.030 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SWV505-1.030 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n026.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 Aug 22 11:04:40 EDT 2023

% Result   : Unsatisfiable 25.09s 11.66s
% Output   : CNFRefutation 25.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   66
%            Number of leaves      :  438
% Syntax   : Number of formulae    : 1732 (1174 unt; 127 typ;   0 def)
%            Number of atoms       : 2036 (2005 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  985 ( 554   ~; 431   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    7 (   3   >;   4   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :  127 ( 127 usr; 124 con; 0-3 aty)
%            Number of variables   :  101 (; 101   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ store > sk > select > #nlpp > i_1129 > i9 > i8 > i7 > i6 > i5 > i4 > i30 > i3 > i29 > i28 > i27 > i26 > i25 > i24 > i23 > i22 > i21 > i20 > i2 > i19 > i18 > i17 > i16 > i15 > i14 > i13 > i12 > i11 > i10 > i1 > e_1131 > e_1130 > e9 > e8 > e7 > e6 > e5 > e4 > e30 > e3 > e29 > e28 > e27 > e26 > e25 > e24 > e23 > e22 > e21 > e20 > e2 > e19 > e18 > e17 > e16 > e15 > e14 > e13 > e12 > e11 > e10 > e1 > a_1128 > a_1127 > a_1126 > a_1125 > a_1124 > a_1123 > a_1122 > a_1121 > a_1120 > a_1119 > a_1118 > a_1117 > a_1116 > a_1115 > a_1114 > a_1113 > a_1112 > a_1111 > a_1110 > a_1109 > a_1108 > a_1107 > a_1106 > a_1105 > a_1104 > a_1103 > a_1102 > a_1101 > a_1100 > a_1099 > a_1098 > a_1097 > a_1096 > a_1095 > a_1094 > a_1093 > a_1092 > a_1091 > a_1090 > a_1089 > a_1088 > a_1087 > a_1086 > a_1085 > a_1084 > a_1083 > a_1082 > a_1081 > a_1080 > a_1079 > a_1078 > a_1077 > a_1076 > a_1075 > a_1074 > a_1073 > a_1072 > a_1071 > a_1070 > a_1069 > a1

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(e29,type,
    e29: $i ).

tff(a_1096,type,
    a_1096: $i ).

tff(a1,type,
    a1: $i ).

tff(e1,type,
    e1: $i ).

tff(a_1092,type,
    a_1092: $i ).

tff(e8,type,
    e8: $i ).

tff(e_1130,type,
    e_1130: $i ).

tff(a_1094,type,
    a_1094: $i ).

tff(a_1089,type,
    a_1089: $i ).

tff(a_1116,type,
    a_1116: $i ).

tff(e21,type,
    e21: $i ).

tff(a_1107,type,
    a_1107: $i ).

tff(i16,type,
    i16: $i ).

tff(a_1109,type,
    a_1109: $i ).

tff(a_1100,type,
    a_1100: $i ).

tff(a_1084,type,
    a_1084: $i ).

tff(a_1074,type,
    a_1074: $i ).

tff(e15,type,
    e15: $i ).

tff(i14,type,
    i14: $i ).

tff(a_1087,type,
    a_1087: $i ).

tff(i11,type,
    i11: $i ).

tff(a_1103,type,
    a_1103: $i ).

tff(a_1108,type,
    a_1108: $i ).

tff(e18,type,
    e18: $i ).

tff(a_1101,type,
    a_1101: $i ).

tff(e24,type,
    e24: $i ).

tff(a_1105,type,
    a_1105: $i ).

tff(a_1085,type,
    a_1085: $i ).

tff(i23,type,
    i23: $i ).

tff(a_1121,type,
    a_1121: $i ).

tff(i30,type,
    i30: $i ).

tff(a_1102,type,
    a_1102: $i ).

tff(store,type,
    store: ( $i * $i * $i ) > $i ).

tff(a_1070,type,
    a_1070: $i ).

tff(a_1111,type,
    a_1111: $i ).

tff(e20,type,
    e20: $i ).

tff(e19,type,
    e19: $i ).

tff(e16,type,
    e16: $i ).

tff(i20,type,
    i20: $i ).

tff(e2,type,
    e2: $i ).

tff(a_1120,type,
    a_1120: $i ).

tff(i18,type,
    i18: $i ).

tff(i27,type,
    i27: $i ).

tff(a_1099,type,
    a_1099: $i ).

tff(i26,type,
    i26: $i ).

tff(a_1072,type,
    a_1072: $i ).

tff(a_1110,type,
    a_1110: $i ).

tff(e13,type,
    e13: $i ).

tff(a_1081,type,
    a_1081: $i ).

tff(i22,type,
    i22: $i ).

tff(e22,type,
    e22: $i ).

tff(i12,type,
    i12: $i ).

tff(i15,type,
    i15: $i ).

tff(i17,type,
    i17: $i ).

tff(i19,type,
    i19: $i ).

tff(i21,type,
    i21: $i ).

tff(a_1104,type,
    a_1104: $i ).

tff(e9,type,
    e9: $i ).

tff(a_1090,type,
    a_1090: $i ).

tff(i25,type,
    i25: $i ).

tff(i28,type,
    i28: $i ).

tff(a_1126,type,
    a_1126: $i ).

tff(a_1091,type,
    a_1091: $i ).

tff(a_1077,type,
    a_1077: $i ).

tff(e25,type,
    e25: $i ).

tff(e26,type,
    e26: $i ).

tff(i10,type,
    i10: $i ).

tff(e_1131,type,
    e_1131: $i ).

tff(e17,type,
    e17: $i ).

tff(e27,type,
    e27: $i ).

tff(a_1127,type,
    a_1127: $i ).

tff(e10,type,
    e10: $i ).

tff(e7,type,
    e7: $i ).

tff(a_1098,type,
    a_1098: $i ).

tff(a_1095,type,
    a_1095: $i ).

tff(i8,type,
    i8: $i ).

tff(i9,type,
    i9: $i ).

tff(sk,type,
    sk: ( $i * $i ) > $i ).

tff(i29,type,
    i29: $i ).

tff(i7,type,
    i7: $i ).

tff(a_1075,type,
    a_1075: $i ).

tff(i1,type,
    i1: $i ).

tff(a_1069,type,
    a_1069: $i ).

tff(a_1113,type,
    a_1113: $i ).

tff(i2,type,
    i2: $i ).

tff(a_1071,type,
    a_1071: $i ).

tff(e30,type,
    e30: $i ).

tff(select,type,
    select: ( $i * $i ) > $i ).

tff(a_1097,type,
    a_1097: $i ).

tff(a_1122,type,
    a_1122: $i ).

tff(a_1125,type,
    a_1125: $i ).

tff(a_1093,type,
    a_1093: $i ).

tff(a_1112,type,
    a_1112: $i ).

tff(a_1114,type,
    a_1114: $i ).

tff(e23,type,
    e23: $i ).

tff(a_1118,type,
    a_1118: $i ).

tff(e14,type,
    e14: $i ).

tff(a_1115,type,
    a_1115: $i ).

tff(a_1086,type,
    a_1086: $i ).

tff(e12,type,
    e12: $i ).

tff(e4,type,
    e4: $i ).

tff(i13,type,
    i13: $i ).

tff(a_1083,type,
    a_1083: $i ).

tff(a_1076,type,
    a_1076: $i ).

tff(a_1106,type,
    a_1106: $i ).

tff(a_1123,type,
    a_1123: $i ).

tff(a_1119,type,
    a_1119: $i ).

tff(a_1124,type,
    a_1124: $i ).

tff(e6,type,
    e6: $i ).

tff(i5,type,
    i5: $i ).

tff(i_1129,type,
    i_1129: $i ).

tff(e11,type,
    e11: $i ).

tff(a_1082,type,
    a_1082: $i ).

tff(e28,type,
    e28: $i ).

tff(i4,type,
    i4: $i ).

tff(a_1079,type,
    a_1079: $i ).

tff(e3,type,
    e3: $i ).

tff(a_1073,type,
    a_1073: $i ).

tff(a_1080,type,
    a_1080: $i ).

tff(i24,type,
    i24: $i ).

tff(e5,type,
    e5: $i ).

tff(a_1088,type,
    a_1088: $i ).

tff(i3,type,
    i3: $i ).

tff(a_1117,type,
    a_1117: $i ).

tff(a_1078,type,
    a_1078: $i ).

tff(a_1128,type,
    a_1128: $i ).

tff(i6,type,
    i6: $i ).

tff(f_62,axiom,
    a_1100 = store(a_1099,i1,e1),
    file(unknown,unknown) ).

tff(f_26,axiom,
    ! [A,I,E] : ( select(store(A,I,E),I) = E ),
    file(unknown,unknown) ).

tff(f_30,axiom,
    ! [I,J,A,E] :
      ( ( I = J )
      | ( select(store(A,I,E),J) = select(A,J) ) ),
    file(unknown,unknown) ).

tff(f_767,axiom,
    i4 != i19,
    file(unknown,unknown) ).

tff(f_49,axiom,
    a_1087 = store(a_1086,i19,e19),
    file(unknown,unknown) ).

tff(f_577,axiom,
    i8 != i20,
    file(unknown,unknown) ).

tff(f_50,axiom,
    a_1088 = store(a_1087,i20,e20),
    file(unknown,unknown) ).

tff(f_665,axiom,
    i6 != i21,
    file(unknown,unknown) ).

tff(f_51,axiom,
    a_1089 = store(a_1088,i21,e21),
    file(unknown,unknown) ).

tff(f_157,axiom,
    i22 != i27,
    file(unknown,unknown) ).

tff(f_52,axiom,
    a_1090 = store(a_1089,i22,e22),
    file(unknown,unknown) ).

tff(f_149,axiom,
    i23 != i24,
    file(unknown,unknown) ).

tff(f_87,axiom,
    a_1125 = store(a_1124,i23,e23),
    file(unknown,unknown) ).

tff(f_135,axiom,
    i24 != i25,
    file(unknown,unknown) ).

tff(f_88,axiom,
    a_1126 = store(a_1125,i24,e24),
    file(unknown,unknown) ).

tff(f_645,axiom,
    i7 != i8,
    file(unknown,unknown) ).

tff(f_89,axiom,
    a_1127 = store(a_1126,i7,e7),
    file(unknown,unknown) ).

tff(f_513,axiom,
    i10 != i11,
    file(unknown,unknown) ).

tff(f_90,axiom,
    a_1128 = store(a_1127,i10,e10),
    file(unknown,unknown) ).

tff(f_92,axiom,
    e_1131 = select(a_1128,i_1129),
    file(unknown,unknown) ).

tff(f_965,axiom,
    e_1130 != e_1131,
    file(unknown,unknown) ).

tff(f_40,axiom,
    a_1078 = store(a_1077,i10,e10),
    file(unknown,unknown) ).

tff(f_511,axiom,
    i10 != i12,
    file(unknown,unknown) ).

tff(f_42,axiom,
    a_1080 = store(a_1079,i12,e12),
    file(unknown,unknown) ).

tff(f_509,axiom,
    i10 != i13,
    file(unknown,unknown) ).

tff(f_43,axiom,
    a_1081 = store(a_1080,i13,e13),
    file(unknown,unknown) ).

tff(f_507,axiom,
    i10 != i14,
    file(unknown,unknown) ).

tff(f_505,axiom,
    i10 != i15,
    file(unknown,unknown) ).

tff(f_45,axiom,
    a_1083 = store(a_1082,i15,e15),
    file(unknown,unknown) ).

tff(f_503,axiom,
    i10 != i16,
    file(unknown,unknown) ).

tff(f_46,axiom,
    a_1084 = store(a_1083,i16,e16),
    file(unknown,unknown) ).

tff(f_501,axiom,
    i10 != i17,
    file(unknown,unknown) ).

tff(f_47,axiom,
    a_1085 = store(a_1084,i17,e17),
    file(unknown,unknown) ).

tff(f_499,axiom,
    i10 != i18,
    file(unknown,unknown) ).

tff(f_48,axiom,
    a_1086 = store(a_1085,i18,e18),
    file(unknown,unknown) ).

tff(f_497,axiom,
    i10 != i19,
    file(unknown,unknown) ).

tff(f_495,axiom,
    i10 != i20,
    file(unknown,unknown) ).

tff(f_493,axiom,
    i10 != i21,
    file(unknown,unknown) ).

tff(f_491,axiom,
    i10 != i22,
    file(unknown,unknown) ).

tff(f_489,axiom,
    i10 != i23,
    file(unknown,unknown) ).

tff(f_53,axiom,
    a_1091 = store(a_1090,i23,e23),
    file(unknown,unknown) ).

tff(f_487,axiom,
    i10 != i24,
    file(unknown,unknown) ).

tff(f_485,axiom,
    i10 != i25,
    file(unknown,unknown) ).

tff(f_55,axiom,
    a_1093 = store(a_1092,i25,e25),
    file(unknown,unknown) ).

tff(f_483,axiom,
    i10 != i26,
    file(unknown,unknown) ).

tff(f_56,axiom,
    a_1094 = store(a_1093,i26,e26),
    file(unknown,unknown) ).

tff(f_481,axiom,
    i10 != i27,
    file(unknown,unknown) ).

tff(f_479,axiom,
    i10 != i28,
    file(unknown,unknown) ).

tff(f_58,axiom,
    a_1096 = store(a_1095,i28,e28),
    file(unknown,unknown) ).

tff(f_697,axiom,
    i5 != i29,
    file(unknown,unknown) ).

tff(f_59,axiom,
    a_1097 = store(a_1096,i29,e29),
    file(unknown,unknown) ).

tff(f_851,axiom,
    i2 != i30,
    file(unknown,unknown) ).

tff(f_60,axiom,
    a_1098 = store(a_1097,i30,e30),
    file(unknown,unknown) ).

tff(f_91,axiom,
    e_1130 = select(a_1098,i_1129),
    file(unknown,unknown) ).

tff(f_66,axiom,
    a_1104 = store(a_1103,i30,e30),
    file(unknown,unknown) ).

tff(f_305,axiom,
    i15 != i30,
    file(unknown,unknown) ).

tff(f_68,axiom,
    a_1106 = store(a_1105,i15,e15),
    file(unknown,unknown) ).

tff(f_115,axiom,
    i25 != i30,
    file(unknown,unknown) ).

tff(f_227,axiom,
    i18 != i30,
    file(unknown,unknown) ).

tff(f_70,axiom,
    a_1108 = store(a_1107,i18,e18),
    file(unknown,unknown) ).

tff(f_185,axiom,
    i20 != i30,
    file(unknown,unknown) ).

tff(f_71,axiom,
    a_1109 = store(a_1108,i20,e20),
    file(unknown,unknown) ).

tff(f_557,axiom,
    i8 != i30,
    file(unknown,unknown) ).

tff(f_72,axiom,
    a_1110 = store(a_1109,i8,e8),
    file(unknown,unknown) ).

tff(f_167,axiom,
    i21 != i30,
    file(unknown,unknown) ).

tff(f_73,axiom,
    a_1111 = store(a_1110,i21,e21),
    file(unknown,unknown) ).

tff(f_647,axiom,
    i6 != i30,
    file(unknown,unknown) ).

tff(f_74,axiom,
    a_1112 = store(a_1111,i6,e6),
    file(unknown,unknown) ).

tff(f_437,axiom,
    i11 != i30,
    file(unknown,unknown) ).

tff(f_75,axiom,
    a_1113 = store(a_1112,i11,e11),
    file(unknown,unknown) ).

tff(f_335,axiom,
    i14 != i30,
    file(unknown,unknown) ).

tff(f_76,axiom,
    a_1114 = store(a_1113,i14,e14),
    file(unknown,unknown) ).

tff(f_95,axiom,
    i29 != i30,
    file(unknown,unknown) ).

tff(f_77,axiom,
    a_1115 = store(a_1114,i29,e29),
    file(unknown,unknown) ).

tff(f_695,axiom,
    i5 != i30,
    file(unknown,unknown) ).

tff(f_107,axiom,
    i26 != i30,
    file(unknown,unknown) ).

tff(f_151,axiom,
    i22 != i30,
    file(unknown,unknown) ).

tff(f_101,axiom,
    i27 != i30,
    file(unknown,unknown) ).

tff(f_797,axiom,
    i3 != i30,
    file(unknown,unknown) ).

tff(f_401,axiom,
    i12 != i30,
    file(unknown,unknown) ).

tff(f_83,axiom,
    a_1121 = store(a_1120,i12,e12),
    file(unknown,unknown) ).

tff(f_277,axiom,
    i16 != i30,
    file(unknown,unknown) ).

tff(f_97,axiom,
    i28 != i30,
    file(unknown,unknown) ).

tff(f_251,axiom,
    i17 != i30,
    file(unknown,unknown) ).

tff(f_86,axiom,
    a_1124 = store(a_1123,i17,e17),
    file(unknown,unknown) ).

tff(f_137,axiom,
    i23 != i30,
    file(unknown,unknown) ).

tff(f_125,axiom,
    i24 != i30,
    file(unknown,unknown) ).

tff(f_601,axiom,
    i7 != i30,
    file(unknown,unknown) ).

tff(f_475,axiom,
    i10 != i30,
    file(unknown,unknown) ).

tff(f_85,axiom,
    a_1123 = store(a_1122,i28,e28),
    file(unknown,unknown) ).

tff(f_84,axiom,
    a_1122 = store(a_1121,i16,e16),
    file(unknown,unknown) ).

tff(f_82,axiom,
    a_1120 = store(a_1119,i3,e3),
    file(unknown,unknown) ).

tff(f_81,axiom,
    a_1119 = store(a_1118,i27,e27),
    file(unknown,unknown) ).

tff(f_80,axiom,
    a_1118 = store(a_1117,i22,e22),
    file(unknown,unknown) ).

tff(f_79,axiom,
    a_1117 = store(a_1116,i26,e26),
    file(unknown,unknown) ).

tff(f_78,axiom,
    a_1116 = store(a_1115,i5,e5),
    file(unknown,unknown) ).

tff(f_69,axiom,
    a_1107 = store(a_1106,i25,e25),
    file(unknown,unknown) ).

tff(f_67,axiom,
    a_1105 = store(a_1104,i2,e2),
    file(unknown,unknown) ).

tff(f_109,axiom,
    i26 != i29,
    file(unknown,unknown) ).

tff(f_153,axiom,
    i22 != i29,
    file(unknown,unknown) ).

tff(f_103,axiom,
    i27 != i29,
    file(unknown,unknown) ).

tff(f_799,axiom,
    i3 != i29,
    file(unknown,unknown) ).

tff(f_403,axiom,
    i12 != i29,
    file(unknown,unknown) ).

tff(f_279,axiom,
    i16 != i29,
    file(unknown,unknown) ).

tff(f_99,axiom,
    i28 != i29,
    file(unknown,unknown) ).

tff(f_253,axiom,
    i17 != i29,
    file(unknown,unknown) ).

tff(f_139,axiom,
    i23 != i29,
    file(unknown,unknown) ).

tff(f_127,axiom,
    i24 != i29,
    file(unknown,unknown) ).

tff(f_603,axiom,
    i7 != i29,
    file(unknown,unknown) ).

tff(f_477,axiom,
    i10 != i29,
    file(unknown,unknown) ).

tff(f_57,axiom,
    a_1095 = store(a_1094,i27,e27),
    file(unknown,unknown) ).

tff(f_54,axiom,
    a_1092 = store(a_1091,i24,e24),
    file(unknown,unknown) ).

tff(f_44,axiom,
    a_1082 = store(a_1081,i14,e14),
    file(unknown,unknown) ).

tff(f_41,axiom,
    a_1079 = store(a_1078,i11,e11),
    file(unknown,unknown) ).

tff(f_37,axiom,
    a_1075 = store(a_1074,i7,e7),
    file(unknown,unknown) ).

tff(f_38,axiom,
    a_1076 = store(a_1075,i8,e8),
    file(unknown,unknown) ).

tff(f_643,axiom,
    i7 != i9,
    file(unknown,unknown) ).

tff(f_641,axiom,
    i7 != i10,
    file(unknown,unknown) ).

tff(f_639,axiom,
    i7 != i11,
    file(unknown,unknown) ).

tff(f_637,axiom,
    i7 != i12,
    file(unknown,unknown) ).

tff(f_635,axiom,
    i7 != i13,
    file(unknown,unknown) ).

tff(f_633,axiom,
    i7 != i14,
    file(unknown,unknown) ).

tff(f_631,axiom,
    i7 != i15,
    file(unknown,unknown) ).

tff(f_629,axiom,
    i7 != i16,
    file(unknown,unknown) ).

tff(f_627,axiom,
    i7 != i17,
    file(unknown,unknown) ).

tff(f_625,axiom,
    i7 != i18,
    file(unknown,unknown) ).

tff(f_623,axiom,
    i7 != i19,
    file(unknown,unknown) ).

tff(f_621,axiom,
    i7 != i20,
    file(unknown,unknown) ).

tff(f_619,axiom,
    i7 != i21,
    file(unknown,unknown) ).

tff(f_617,axiom,
    i7 != i22,
    file(unknown,unknown) ).

tff(f_615,axiom,
    i7 != i23,
    file(unknown,unknown) ).

tff(f_613,axiom,
    i7 != i24,
    file(unknown,unknown) ).

tff(f_611,axiom,
    i7 != i25,
    file(unknown,unknown) ).

tff(f_609,axiom,
    i7 != i26,
    file(unknown,unknown) ).

tff(f_607,axiom,
    i7 != i27,
    file(unknown,unknown) ).

tff(f_605,axiom,
    i7 != i28,
    file(unknown,unknown) ).

tff(f_39,axiom,
    a_1077 = store(a_1076,i9,e9),
    file(unknown,unknown) ).

tff(f_159,axiom,
    i22 != i26,
    file(unknown,unknown) ).

tff(f_803,axiom,
    i3 != i27,
    file(unknown,unknown) ).

tff(f_255,axiom,
    i17 != i28,
    file(unknown,unknown) ).

tff(f_141,axiom,
    i23 != i28,
    file(unknown,unknown) ).

tff(f_129,axiom,
    i24 != i28,
    file(unknown,unknown) ).

tff(f_407,axiom,
    i12 != i27,
    file(unknown,unknown) ).

tff(f_283,axiom,
    i16 != i27,
    file(unknown,unknown) ).

tff(f_105,axiom,
    i27 != i28,
    file(unknown,unknown) ).

tff(f_257,axiom,
    i17 != i27,
    file(unknown,unknown) ).

tff(f_143,axiom,
    i23 != i27,
    file(unknown,unknown) ).

tff(f_131,axiom,
    i24 != i27,
    file(unknown,unknown) ).

tff(f_113,axiom,
    i26 != i27,
    file(unknown,unknown) ).

tff(f_805,axiom,
    i3 != i26,
    file(unknown,unknown) ).

tff(f_409,axiom,
    i12 != i26,
    file(unknown,unknown) ).

tff(f_285,axiom,
    i16 != i26,
    file(unknown,unknown) ).

tff(f_111,axiom,
    i26 != i28,
    file(unknown,unknown) ).

tff(f_259,axiom,
    i17 != i26,
    file(unknown,unknown) ).

tff(f_145,axiom,
    i23 != i26,
    file(unknown,unknown) ).

tff(f_133,axiom,
    i24 != i26,
    file(unknown,unknown) ).

tff(f_147,axiom,
    i23 != i25,
    file(unknown,unknown) ).

tff(f_237,axiom,
    i18 != i25,
    file(unknown,unknown) ).

tff(f_195,axiom,
    i20 != i25,
    file(unknown,unknown) ).

tff(f_567,axiom,
    i8 != i25,
    file(unknown,unknown) ).

tff(f_177,axiom,
    i21 != i25,
    file(unknown,unknown) ).

tff(f_657,axiom,
    i6 != i25,
    file(unknown,unknown) ).

tff(f_447,axiom,
    i11 != i25,
    file(unknown,unknown) ).

tff(f_345,axiom,
    i14 != i25,
    file(unknown,unknown) ).

tff(f_117,axiom,
    i25 != i29,
    file(unknown,unknown) ).

tff(f_705,axiom,
    i5 != i25,
    file(unknown,unknown) ).

tff(f_123,axiom,
    i25 != i26,
    file(unknown,unknown) ).

tff(f_161,axiom,
    i22 != i25,
    file(unknown,unknown) ).

tff(f_121,axiom,
    i25 != i27,
    file(unknown,unknown) ).

tff(f_807,axiom,
    i3 != i25,
    file(unknown,unknown) ).

tff(f_411,axiom,
    i12 != i25,
    file(unknown,unknown) ).

tff(f_287,axiom,
    i16 != i25,
    file(unknown,unknown) ).

tff(f_119,axiom,
    i25 != i28,
    file(unknown,unknown) ).

tff(f_275,axiom,
    i17 != i18,
    file(unknown,unknown) ).

tff(f_273,axiom,
    i17 != i19,
    file(unknown,unknown) ).

tff(f_271,axiom,
    i17 != i20,
    file(unknown,unknown) ).

tff(f_269,axiom,
    i17 != i21,
    file(unknown,unknown) ).

tff(f_267,axiom,
    i17 != i22,
    file(unknown,unknown) ).

tff(f_265,axiom,
    i17 != i23,
    file(unknown,unknown) ).

tff(f_263,axiom,
    i17 != i24,
    file(unknown,unknown) ).

tff(f_261,axiom,
    i17 != i25,
    file(unknown,unknown) ).

tff(f_813,axiom,
    i3 != i22,
    file(unknown,unknown) ).

tff(f_417,axiom,
    i12 != i22,
    file(unknown,unknown) ).

tff(f_293,axiom,
    i16 != i22,
    file(unknown,unknown) ).

tff(f_155,axiom,
    i22 != i28,
    file(unknown,unknown) ).

tff(f_455,axiom,
    i11 != i21,
    file(unknown,unknown) ).

tff(f_353,axiom,
    i14 != i21,
    file(unknown,unknown) ).

tff(f_169,axiom,
    i21 != i29,
    file(unknown,unknown) ).

tff(f_713,axiom,
    i5 != i21,
    file(unknown,unknown) ).

tff(f_175,axiom,
    i21 != i26,
    file(unknown,unknown) ).

tff(f_183,axiom,
    i21 != i22,
    file(unknown,unknown) ).

tff(f_173,axiom,
    i21 != i27,
    file(unknown,unknown) ).

tff(f_815,axiom,
    i3 != i21,
    file(unknown,unknown) ).

tff(f_419,axiom,
    i12 != i21,
    file(unknown,unknown) ).

tff(f_295,axiom,
    i16 != i21,
    file(unknown,unknown) ).

tff(f_171,axiom,
    i21 != i28,
    file(unknown,unknown) ).

tff(f_203,axiom,
    i20 != i21,
    file(unknown,unknown) ).

tff(f_667,axiom,
    i6 != i20,
    file(unknown,unknown) ).

tff(f_457,axiom,
    i11 != i20,
    file(unknown,unknown) ).

tff(f_355,axiom,
    i14 != i20,
    file(unknown,unknown) ).

tff(f_187,axiom,
    i20 != i29,
    file(unknown,unknown) ).

tff(f_715,axiom,
    i5 != i20,
    file(unknown,unknown) ).

tff(f_193,axiom,
    i20 != i26,
    file(unknown,unknown) ).

tff(f_201,axiom,
    i20 != i22,
    file(unknown,unknown) ).

tff(f_191,axiom,
    i20 != i27,
    file(unknown,unknown) ).

tff(f_817,axiom,
    i3 != i20,
    file(unknown,unknown) ).

tff(f_421,axiom,
    i12 != i20,
    file(unknown,unknown) ).

tff(f_297,axiom,
    i16 != i20,
    file(unknown,unknown) ).

tff(f_63,axiom,
    a_1101 = store(a_1100,i19,e19),
    file(unknown,unknown) ).

tff(f_537,axiom,
    i9 != i19,
    file(unknown,unknown) ).

tff(f_65,axiom,
    a_1103 = store(a_1102,i9,e9),
    file(unknown,unknown) ).

tff(f_205,axiom,
    i19 != i30,
    file(unknown,unknown) ).

tff(f_873,axiom,
    i2 != i19,
    file(unknown,unknown) ).

tff(f_327,axiom,
    i15 != i19,
    file(unknown,unknown) ).

tff(f_215,axiom,
    i19 != i25,
    file(unknown,unknown) ).

tff(f_249,axiom,
    i18 != i19,
    file(unknown,unknown) ).

tff(f_225,axiom,
    i19 != i20,
    file(unknown,unknown) ).

tff(f_579,axiom,
    i8 != i19,
    file(unknown,unknown) ).

tff(f_223,axiom,
    i19 != i21,
    file(unknown,unknown) ).

tff(f_669,axiom,
    i6 != i19,
    file(unknown,unknown) ).

tff(f_459,axiom,
    i11 != i19,
    file(unknown,unknown) ).

tff(f_357,axiom,
    i14 != i19,
    file(unknown,unknown) ).

tff(f_207,axiom,
    i19 != i29,
    file(unknown,unknown) ).

tff(f_717,axiom,
    i5 != i19,
    file(unknown,unknown) ).

tff(f_849,axiom,
    i3 != i4,
    file(unknown,unknown) ).

tff(f_435,axiom,
    i12 != i13,
    file(unknown,unknown) ).

tff(f_303,axiom,
    i16 != i17,
    file(unknown,unknown) ).

tff(f_301,axiom,
    i16 != i18,
    file(unknown,unknown) ).

tff(f_299,axiom,
    i16 != i19,
    file(unknown,unknown) ).

tff(f_433,axiom,
    i12 != i14,
    file(unknown,unknown) ).

tff(f_431,axiom,
    i12 != i15,
    file(unknown,unknown) ).

tff(f_429,axiom,
    i12 != i16,
    file(unknown,unknown) ).

tff(f_427,axiom,
    i12 != i17,
    file(unknown,unknown) ).

tff(f_425,axiom,
    i12 != i18,
    file(unknown,unknown) ).

tff(f_423,axiom,
    i12 != i19,
    file(unknown,unknown) ).

tff(f_33,axiom,
    a_1071 = store(a_1070,i3,e3),
    file(unknown,unknown) ).

tff(f_847,axiom,
    i3 != i5,
    file(unknown,unknown) ).

tff(f_35,axiom,
    a_1073 = store(a_1072,i5,e5),
    file(unknown,unknown) ).

tff(f_845,axiom,
    i3 != i6,
    file(unknown,unknown) ).

tff(f_36,axiom,
    a_1074 = store(a_1073,i6,e6),
    file(unknown,unknown) ).

tff(f_843,axiom,
    i3 != i7,
    file(unknown,unknown) ).

tff(f_841,axiom,
    i3 != i8,
    file(unknown,unknown) ).

tff(f_839,axiom,
    i3 != i9,
    file(unknown,unknown) ).

tff(f_837,axiom,
    i3 != i10,
    file(unknown,unknown) ).

tff(f_835,axiom,
    i3 != i11,
    file(unknown,unknown) ).

tff(f_833,axiom,
    i3 != i12,
    file(unknown,unknown) ).

tff(f_831,axiom,
    i3 != i13,
    file(unknown,unknown) ).

tff(f_829,axiom,
    i3 != i14,
    file(unknown,unknown) ).

tff(f_827,axiom,
    i3 != i15,
    file(unknown,unknown) ).

tff(f_825,axiom,
    i3 != i16,
    file(unknown,unknown) ).

tff(f_823,axiom,
    i3 != i17,
    file(unknown,unknown) ).

tff(f_821,axiom,
    i3 != i18,
    file(unknown,unknown) ).

tff(f_819,axiom,
    i3 != i19,
    file(unknown,unknown) ).

tff(f_34,axiom,
    a_1072 = store(a_1071,i4,e4),
    file(unknown,unknown) ).

tff(f_64,axiom,
    a_1102 = store(a_1101,i4,e4),
    file(unknown,unknown) ).

tff(f_515,axiom,
    i9 != i30,
    file(unknown,unknown) ).

tff(f_473,axiom,
    i11 != i12,
    file(unknown,unknown) ).

tff(f_365,axiom,
    i14 != i15,
    file(unknown,unknown) ).

tff(f_743,axiom,
    i5 != i6,
    file(unknown,unknown) ).

tff(f_741,axiom,
    i5 != i7,
    file(unknown,unknown) ).

tff(f_739,axiom,
    i5 != i8,
    file(unknown,unknown) ).

tff(f_737,axiom,
    i5 != i9,
    file(unknown,unknown) ).

tff(f_735,axiom,
    i5 != i10,
    file(unknown,unknown) ).

tff(f_733,axiom,
    i5 != i11,
    file(unknown,unknown) ).

tff(f_731,axiom,
    i5 != i12,
    file(unknown,unknown) ).

tff(f_729,axiom,
    i5 != i13,
    file(unknown,unknown) ).

tff(f_727,axiom,
    i5 != i14,
    file(unknown,unknown) ).

tff(f_725,axiom,
    i5 != i15,
    file(unknown,unknown) ).

tff(f_247,axiom,
    i18 != i20,
    file(unknown,unknown) ).

tff(f_581,axiom,
    i8 != i18,
    file(unknown,unknown) ).

tff(f_245,axiom,
    i18 != i21,
    file(unknown,unknown) ).

tff(f_671,axiom,
    i6 != i18,
    file(unknown,unknown) ).

tff(f_461,axiom,
    i11 != i18,
    file(unknown,unknown) ).

tff(f_359,axiom,
    i14 != i18,
    file(unknown,unknown) ).

tff(f_229,axiom,
    i18 != i29,
    file(unknown,unknown) ).

tff(f_719,axiom,
    i5 != i18,
    file(unknown,unknown) ).

tff(f_471,axiom,
    i11 != i13,
    file(unknown,unknown) ).

tff(f_469,axiom,
    i11 != i14,
    file(unknown,unknown) ).

tff(f_315,axiom,
    i15 != i25,
    file(unknown,unknown) ).

tff(f_329,axiom,
    i15 != i18,
    file(unknown,unknown) ).

tff(f_325,axiom,
    i15 != i20,
    file(unknown,unknown) ).

tff(f_587,axiom,
    i8 != i15,
    file(unknown,unknown) ).

tff(f_323,axiom,
    i15 != i21,
    file(unknown,unknown) ).

tff(f_677,axiom,
    i6 != i15,
    file(unknown,unknown) ).

tff(f_467,axiom,
    i11 != i15,
    file(unknown,unknown) ).

tff(f_941,axiom,
    i1 != i13,
    file(unknown,unknown) ).

tff(f_61,axiom,
    a_1099 = store(a1,i13,e13),
    file(unknown,unknown) ).

tff(f_389,axiom,
    i13 != i19,
    file(unknown,unknown) ).

tff(f_779,axiom,
    i4 != i13,
    file(unknown,unknown) ).

tff(f_549,axiom,
    i9 != i13,
    file(unknown,unknown) ).

tff(f_367,axiom,
    i13 != i30,
    file(unknown,unknown) ).

tff(f_885,axiom,
    i2 != i13,
    file(unknown,unknown) ).

tff(f_397,axiom,
    i13 != i15,
    file(unknown,unknown) ).

tff(f_377,axiom,
    i13 != i25,
    file(unknown,unknown) ).

tff(f_391,axiom,
    i13 != i18,
    file(unknown,unknown) ).

tff(f_387,axiom,
    i13 != i20,
    file(unknown,unknown) ).

tff(f_591,axiom,
    i8 != i13,
    file(unknown,unknown) ).

tff(f_693,axiom,
    i6 != i7,
    file(unknown,unknown) ).

tff(f_691,axiom,
    i6 != i8,
    file(unknown,unknown) ).

tff(f_689,axiom,
    i6 != i9,
    file(unknown,unknown) ).

tff(f_687,axiom,
    i6 != i10,
    file(unknown,unknown) ).

tff(f_685,axiom,
    i6 != i11,
    file(unknown,unknown) ).

tff(f_683,axiom,
    i6 != i12,
    file(unknown,unknown) ).

tff(f_681,axiom,
    i6 != i13,
    file(unknown,unknown) ).

tff(f_893,axiom,
    i2 != i9,
    file(unknown,unknown) ).

tff(f_545,axiom,
    i9 != i15,
    file(unknown,unknown) ).

tff(f_599,axiom,
    i8 != i9,
    file(unknown,unknown) ).

tff(f_905,axiom,
    i2 != i3,
    file(unknown,unknown) ).

tff(f_32,axiom,
    a_1070 = store(a_1069,i2,e2),
    file(unknown,unknown) ).

tff(f_903,axiom,
    i2 != i4,
    file(unknown,unknown) ).

tff(f_31,axiom,
    a_1069 = store(a1,i1,e1),
    file(unknown,unknown) ).

tff(c_68,plain,
    store(a_1099,i1,e1) = a_1100,
    inference(cnfTransformation,[status(thm)],[f_62]) ).

tff(c_1255,plain,
    ! [A_8,I_9,E_10] : ( select(store(A_8,I_9,E_10),I_9) = E_10 ),
    inference(cnfTransformation,[status(thm)],[f_26]) ).

tff(c_1330,plain,
    select(a_1100,i1) = e1,
    inference(superposition,[status(thm),theory(equality)],[c_68,c_1255]) ).

tff(c_1465,plain,
    ! [A_11,I_12,E_13,J_14] :
      ( ( select(store(A_11,I_12,E_13),J_14) = select(A_11,J_14) )
      | ( J_14 = I_12 ) ),
    inference(cnfTransformation,[status(thm)],[f_30]) ).

tff(c_1547,plain,
    ! [J_14] :
      ( ( select(a_1100,J_14) = select(a_1099,J_14) )
      | ( i1 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_68,c_1465]) ).

tff(c_804,plain,
    i4 != i19,
    inference(cnfTransformation,[status(thm)],[f_767]) ).

tff(c_42,plain,
    store(a_1086,i19,e19) = a_1087,
    inference(cnfTransformation,[status(thm)],[f_49]) ).

tff(c_1291,plain,
    select(a_1087,i19) = e19,
    inference(superposition,[status(thm),theory(equality)],[c_42,c_1255]) ).

tff(c_1508,plain,
    ! [J_14] :
      ( ( select(a_1087,J_14) = select(a_1086,J_14) )
      | ( i19 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_42,c_1465]) ).

tff(c_614,plain,
    i8 != i20,
    inference(cnfTransformation,[status(thm)],[f_577]) ).

tff(c_44,plain,
    store(a_1087,i20,e20) = a_1088,
    inference(cnfTransformation,[status(thm)],[f_50]) ).

tff(c_1363,plain,
    select(a_1088,i20) = e20,
    inference(superposition,[status(thm),theory(equality)],[c_44,c_1255]) ).

tff(c_1580,plain,
    ! [J_14] :
      ( ( select(a_1088,J_14) = select(a_1087,J_14) )
      | ( i20 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_44,c_1465]) ).

tff(c_702,plain,
    i6 != i21,
    inference(cnfTransformation,[status(thm)],[f_665]) ).

tff(c_46,plain,
    store(a_1088,i21,e21) = a_1089,
    inference(cnfTransformation,[status(thm)],[f_51]) ).

tff(c_1378,plain,
    select(a_1089,i21) = e21,
    inference(superposition,[status(thm),theory(equality)],[c_46,c_1255]) ).

tff(c_1595,plain,
    ! [J_14] :
      ( ( select(a_1089,J_14) = select(a_1088,J_14) )
      | ( i21 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_46,c_1465]) ).

tff(c_194,plain,
    i27 != i22,
    inference(cnfTransformation,[status(thm)],[f_157]) ).

tff(c_48,plain,
    store(a_1089,i22,e22) = a_1090,
    inference(cnfTransformation,[status(thm)],[f_52]) ).

tff(c_1288,plain,
    select(a_1090,i22) = e22,
    inference(superposition,[status(thm),theory(equality)],[c_48,c_1255]) ).

tff(c_186,plain,
    i24 != i23,
    inference(cnfTransformation,[status(thm)],[f_149]) ).

tff(c_118,plain,
    store(a_1124,i23,e23) = a_1125,
    inference(cnfTransformation,[status(thm)],[f_87]) ).

tff(c_1285,plain,
    select(a_1125,i23) = e23,
    inference(superposition,[status(thm),theory(equality)],[c_118,c_1255]) ).

tff(c_172,plain,
    i25 != i24,
    inference(cnfTransformation,[status(thm)],[f_135]) ).

tff(c_120,plain,
    store(a_1125,i24,e24) = a_1126,
    inference(cnfTransformation,[status(thm)],[f_88]) ).

tff(c_1315,plain,
    select(a_1126,i24) = e24,
    inference(superposition,[status(thm),theory(equality)],[c_120,c_1255]) ).

tff(c_8016,plain,
    ! [J_270] :
      ( ( select(a_1126,J_270) = select(a_1125,J_270) )
      | ( i24 = J_270 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_120,c_1465]) ).

tff(c_682,plain,
    i8 != i7,
    inference(cnfTransformation,[status(thm)],[f_645]) ).

tff(c_122,plain,
    store(a_1126,i7,e7) = a_1127,
    inference(cnfTransformation,[status(thm)],[f_89]) ).

tff(c_1345,plain,
    select(a_1127,i7) = e7,
    inference(superposition,[status(thm),theory(equality)],[c_122,c_1255]) ).

tff(c_550,plain,
    i11 != i10,
    inference(cnfTransformation,[status(thm)],[f_513]) ).

tff(c_124,plain,
    store(a_1127,i10,e10) = a_1128,
    inference(cnfTransformation,[status(thm)],[f_90]) ).

tff(c_1414,plain,
    select(a_1128,i10) = e10,
    inference(superposition,[status(thm),theory(equality)],[c_124,c_1255]) ).

tff(c_4517,plain,
    ! [J_137] :
      ( ( select(a_1128,J_137) = select(a_1127,J_137) )
      | ( i10 = J_137 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_124,c_1465]) ).

tff(c_128,plain,
    select(a_1128,i_1129) = e_1131,
    inference(cnfTransformation,[status(thm)],[f_92]) ).

tff(c_4526,plain,
    ( ( select(a_1127,i_1129) = e_1131 )
    | ( i_1129 = i10 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_4517,c_128]) ).

tff(c_4540,plain,
    i_1129 = i10,
    inference(splitLeft,[status(thm)],[c_4526]) ).

tff(c_4547,plain,
    select(a_1128,i10) = e_1131,
    inference(demodulation,[status(thm),theory(equality)],[c_4540,c_128]) ).

tff(c_4548,plain,
    e_1131 = e10,
    inference(demodulation,[status(thm),theory(equality)],[c_1414,c_4547]) ).

tff(c_1002,plain,
    e_1131 != e_1130,
    inference(cnfTransformation,[status(thm)],[f_965]) ).

tff(c_4570,plain,
    e_1130 != e10,
    inference(demodulation,[status(thm),theory(equality)],[c_4548,c_1002]) ).

tff(c_24,plain,
    store(a_1077,i10,e10) = a_1078,
    inference(cnfTransformation,[status(thm)],[f_40]) ).

tff(c_1429,plain,
    select(a_1078,i10) = e10,
    inference(superposition,[status(thm),theory(equality)],[c_24,c_1255]) ).

tff(c_548,plain,
    i12 != i10,
    inference(cnfTransformation,[status(thm)],[f_511]) ).

tff(c_28,plain,
    store(a_1079,i12,e12) = a_1080,
    inference(cnfTransformation,[status(thm)],[f_42]) ).

tff(c_1514,plain,
    ! [J_14] :
      ( ( select(a_1080,J_14) = select(a_1079,J_14) )
      | ( i12 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_28,c_1465]) ).

tff(c_546,plain,
    i13 != i10,
    inference(cnfTransformation,[status(thm)],[f_509]) ).

tff(c_30,plain,
    store(a_1080,i13,e13) = a_1081,
    inference(cnfTransformation,[status(thm)],[f_43]) ).

tff(c_1658,plain,
    ! [J_14] :
      ( ( select(a_1081,J_14) = select(a_1080,J_14) )
      | ( i13 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_30,c_1465]) ).

tff(c_544,plain,
    i14 != i10,
    inference(cnfTransformation,[status(thm)],[f_507]) ).

tff(c_542,plain,
    i15 != i10,
    inference(cnfTransformation,[status(thm)],[f_505]) ).

tff(c_34,plain,
    store(a_1082,i15,e15) = a_1083,
    inference(cnfTransformation,[status(thm)],[f_45]) ).

tff(c_1655,plain,
    ! [J_14] :
      ( ( select(a_1083,J_14) = select(a_1082,J_14) )
      | ( i15 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_34,c_1465]) ).

tff(c_540,plain,
    i16 != i10,
    inference(cnfTransformation,[status(thm)],[f_503]) ).

tff(c_36,plain,
    store(a_1083,i16,e16) = a_1084,
    inference(cnfTransformation,[status(thm)],[f_46]) ).

tff(c_5329,plain,
    ! [J_172] :
      ( ( select(a_1084,J_172) = select(a_1083,J_172) )
      | ( i16 = J_172 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_36,c_1465]) ).

tff(c_538,plain,
    i17 != i10,
    inference(cnfTransformation,[status(thm)],[f_501]) ).

tff(c_38,plain,
    store(a_1084,i17,e17) = a_1085,
    inference(cnfTransformation,[status(thm)],[f_47]) ).

tff(c_1586,plain,
    ! [J_14] :
      ( ( select(a_1085,J_14) = select(a_1084,J_14) )
      | ( i17 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_38,c_1465]) ).

tff(c_536,plain,
    i18 != i10,
    inference(cnfTransformation,[status(thm)],[f_499]) ).

tff(c_40,plain,
    store(a_1085,i18,e18) = a_1086,
    inference(cnfTransformation,[status(thm)],[f_48]) ).

tff(c_1610,plain,
    ! [J_14] :
      ( ( select(a_1086,J_14) = select(a_1085,J_14) )
      | ( i18 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_40,c_1465]) ).

tff(c_534,plain,
    i19 != i10,
    inference(cnfTransformation,[status(thm)],[f_497]) ).

tff(c_532,plain,
    i20 != i10,
    inference(cnfTransformation,[status(thm)],[f_495]) ).

tff(c_530,plain,
    i21 != i10,
    inference(cnfTransformation,[status(thm)],[f_493]) ).

tff(c_528,plain,
    i22 != i10,
    inference(cnfTransformation,[status(thm)],[f_491]) ).

tff(c_526,plain,
    i23 != i10,
    inference(cnfTransformation,[status(thm)],[f_489]) ).

tff(c_50,plain,
    store(a_1090,i23,e23) = a_1091,
    inference(cnfTransformation,[status(thm)],[f_53]) ).

tff(c_1523,plain,
    ! [J_14] :
      ( ( select(a_1091,J_14) = select(a_1090,J_14) )
      | ( i23 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_50,c_1465]) ).

tff(c_524,plain,
    i24 != i10,
    inference(cnfTransformation,[status(thm)],[f_487]) ).

tff(c_522,plain,
    i25 != i10,
    inference(cnfTransformation,[status(thm)],[f_485]) ).

tff(c_54,plain,
    store(a_1092,i25,e25) = a_1093,
    inference(cnfTransformation,[status(thm)],[f_55]) ).

tff(c_5144,plain,
    ! [J_168] :
      ( ( select(a_1093,J_168) = select(a_1092,J_168) )
      | ( i25 = J_168 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_54,c_1465]) ).

tff(c_520,plain,
    i26 != i10,
    inference(cnfTransformation,[status(thm)],[f_483]) ).

tff(c_56,plain,
    store(a_1093,i26,e26) = a_1094,
    inference(cnfTransformation,[status(thm)],[f_56]) ).

tff(c_1625,plain,
    ! [J_14] :
      ( ( select(a_1094,J_14) = select(a_1093,J_14) )
      | ( i26 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_56,c_1465]) ).

tff(c_518,plain,
    i27 != i10,
    inference(cnfTransformation,[status(thm)],[f_481]) ).

tff(c_516,plain,
    i28 != i10,
    inference(cnfTransformation,[status(thm)],[f_479]) ).

tff(c_60,plain,
    store(a_1095,i28,e28) = a_1096,
    inference(cnfTransformation,[status(thm)],[f_58]) ).

tff(c_4850,plain,
    ! [J_153] :
      ( ( select(a_1096,J_153) = select(a_1095,J_153) )
      | ( i28 = J_153 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_60,c_1465]) ).

tff(c_734,plain,
    i5 != i29,
    inference(cnfTransformation,[status(thm)],[f_697]) ).

tff(c_62,plain,
    store(a_1096,i29,e29) = a_1097,
    inference(cnfTransformation,[status(thm)],[f_59]) ).

tff(c_1279,plain,
    select(a_1097,i29) = e29,
    inference(superposition,[status(thm),theory(equality)],[c_62,c_1255]) ).

tff(c_3399,plain,
    ! [J_84] :
      ( ( select(a_1097,J_84) = select(a_1096,J_84) )
      | ( i29 = J_84 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_62,c_1465]) ).

tff(c_888,plain,
    i30 != i2,
    inference(cnfTransformation,[status(thm)],[f_851]) ).

tff(c_64,plain,
    store(a_1097,i30,e30) = a_1098,
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_1384,plain,
    select(a_1098,i30) = e30,
    inference(superposition,[status(thm),theory(equality)],[c_64,c_1255]) ).

tff(c_1951,plain,
    ! [J_19] :
      ( ( select(a_1098,J_19) = select(a_1097,J_19) )
      | ( i30 = J_19 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_64,c_1465]) ).

tff(c_126,plain,
    select(a_1098,i_1129) = e_1130,
    inference(cnfTransformation,[status(thm)],[f_91]) ).

tff(c_1960,plain,
    ( ( select(a_1097,i_1129) = e_1130 )
    | ( i_1129 = i30 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1951,c_126]) ).

tff(c_1974,plain,
    i_1129 = i30,
    inference(splitLeft,[status(thm)],[c_1960]) ).

tff(c_1975,plain,
    select(a_1098,i30) = e_1130,
    inference(demodulation,[status(thm),theory(equality)],[c_1974,c_126]) ).

tff(c_1978,plain,
    e_1130 = e30,
    inference(demodulation,[status(thm),theory(equality)],[c_1384,c_1975]) ).

tff(c_1983,plain,
    e_1131 != e30,
    inference(demodulation,[status(thm),theory(equality)],[c_1978,c_1002]) ).

tff(c_76,plain,
    store(a_1103,i30,e30) = a_1104,
    inference(cnfTransformation,[status(thm)],[f_66]) ).

tff(c_1420,plain,
    select(a_1104,i30) = e30,
    inference(superposition,[status(thm),theory(equality)],[c_76,c_1255]) ).

tff(c_342,plain,
    i30 != i15,
    inference(cnfTransformation,[status(thm)],[f_305]) ).

tff(c_80,plain,
    store(a_1105,i15,e15) = a_1106,
    inference(cnfTransformation,[status(thm)],[f_68]) ).

tff(c_1490,plain,
    ! [J_14] :
      ( ( select(a_1106,J_14) = select(a_1105,J_14) )
      | ( i15 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_80,c_1465]) ).

tff(c_152,plain,
    i30 != i25,
    inference(cnfTransformation,[status(thm)],[f_115]) ).

tff(c_264,plain,
    i30 != i18,
    inference(cnfTransformation,[status(thm)],[f_227]) ).

tff(c_84,plain,
    store(a_1107,i18,e18) = a_1108,
    inference(cnfTransformation,[status(thm)],[f_70]) ).

tff(c_1598,plain,
    ! [J_14] :
      ( ( select(a_1108,J_14) = select(a_1107,J_14) )
      | ( i18 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_84,c_1465]) ).

tff(c_222,plain,
    i30 != i20,
    inference(cnfTransformation,[status(thm)],[f_185]) ).

tff(c_86,plain,
    store(a_1108,i20,e20) = a_1109,
    inference(cnfTransformation,[status(thm)],[f_71]) ).

tff(c_1517,plain,
    ! [J_14] :
      ( ( select(a_1109,J_14) = select(a_1108,J_14) )
      | ( i20 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_86,c_1465]) ).

tff(c_594,plain,
    i8 != i30,
    inference(cnfTransformation,[status(thm)],[f_557]) ).

tff(c_88,plain,
    store(a_1109,i8,e8) = a_1110,
    inference(cnfTransformation,[status(thm)],[f_72]) ).

tff(c_1487,plain,
    ! [J_14] :
      ( ( select(a_1110,J_14) = select(a_1109,J_14) )
      | ( i8 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_88,c_1465]) ).

tff(c_204,plain,
    i30 != i21,
    inference(cnfTransformation,[status(thm)],[f_167]) ).

tff(c_90,plain,
    store(a_1110,i21,e21) = a_1111,
    inference(cnfTransformation,[status(thm)],[f_73]) ).

tff(c_1583,plain,
    ! [J_14] :
      ( ( select(a_1111,J_14) = select(a_1110,J_14) )
      | ( i21 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_90,c_1465]) ).

tff(c_684,plain,
    i6 != i30,
    inference(cnfTransformation,[status(thm)],[f_647]) ).

tff(c_92,plain,
    store(a_1111,i6,e6) = a_1112,
    inference(cnfTransformation,[status(thm)],[f_74]) ).

tff(c_1574,plain,
    ! [J_14] :
      ( ( select(a_1112,J_14) = select(a_1111,J_14) )
      | ( i6 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_92,c_1465]) ).

tff(c_474,plain,
    i30 != i11,
    inference(cnfTransformation,[status(thm)],[f_437]) ).

tff(c_94,plain,
    store(a_1112,i11,e11) = a_1113,
    inference(cnfTransformation,[status(thm)],[f_75]) ).

tff(c_3093,plain,
    ! [J_73] :
      ( ( select(a_1113,J_73) = select(a_1112,J_73) )
      | ( i11 = J_73 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_94,c_1465]) ).

tff(c_372,plain,
    i30 != i14,
    inference(cnfTransformation,[status(thm)],[f_335]) ).

tff(c_96,plain,
    store(a_1113,i14,e14) = a_1114,
    inference(cnfTransformation,[status(thm)],[f_76]) ).

tff(c_1643,plain,
    ! [J_14] :
      ( ( select(a_1114,J_14) = select(a_1113,J_14) )
      | ( i14 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_96,c_1465]) ).

tff(c_132,plain,
    i30 != i29,
    inference(cnfTransformation,[status(thm)],[f_95]) ).

tff(c_98,plain,
    store(a_1114,i29,e29) = a_1115,
    inference(cnfTransformation,[status(thm)],[f_77]) ).

tff(c_1553,plain,
    ! [J_14] :
      ( ( select(a_1115,J_14) = select(a_1114,J_14) )
      | ( i29 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_98,c_1465]) ).

tff(c_732,plain,
    i5 != i30,
    inference(cnfTransformation,[status(thm)],[f_695]) ).

tff(c_144,plain,
    i30 != i26,
    inference(cnfTransformation,[status(thm)],[f_107]) ).

tff(c_188,plain,
    i30 != i22,
    inference(cnfTransformation,[status(thm)],[f_151]) ).

tff(c_138,plain,
    i30 != i27,
    inference(cnfTransformation,[status(thm)],[f_101]) ).

tff(c_834,plain,
    i30 != i3,
    inference(cnfTransformation,[status(thm)],[f_797]) ).

tff(c_438,plain,
    i30 != i12,
    inference(cnfTransformation,[status(thm)],[f_401]) ).

tff(c_110,plain,
    store(a_1120,i12,e12) = a_1121,
    inference(cnfTransformation,[status(thm)],[f_83]) ).

tff(c_1619,plain,
    ! [J_14] :
      ( ( select(a_1121,J_14) = select(a_1120,J_14) )
      | ( i12 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_110,c_1465]) ).

tff(c_314,plain,
    i30 != i16,
    inference(cnfTransformation,[status(thm)],[f_277]) ).

tff(c_134,plain,
    i30 != i28,
    inference(cnfTransformation,[status(thm)],[f_97]) ).

tff(c_288,plain,
    i30 != i17,
    inference(cnfTransformation,[status(thm)],[f_251]) ).

tff(c_116,plain,
    store(a_1123,i17,e17) = a_1124,
    inference(cnfTransformation,[status(thm)],[f_86]) ).

tff(c_2848,plain,
    ! [J_67] :
      ( ( select(a_1124,J_67) = select(a_1123,J_67) )
      | ( i17 = J_67 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_116,c_1465]) ).

tff(c_174,plain,
    i30 != i23,
    inference(cnfTransformation,[status(thm)],[f_137]) ).

tff(c_2648,plain,
    ! [J_56] :
      ( ( select(a_1125,J_56) = select(a_1124,J_56) )
      | ( i23 = J_56 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_118,c_1465]) ).

tff(c_162,plain,
    i30 != i24,
    inference(cnfTransformation,[status(thm)],[f_125]) ).

tff(c_638,plain,
    i7 != i30,
    inference(cnfTransformation,[status(thm)],[f_601]) ).

tff(c_2588,plain,
    ! [J_54] :
      ( ( select(a_1127,J_54) = select(a_1126,J_54) )
      | ( i7 = J_54 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_122,c_1465]) ).

tff(c_512,plain,
    i30 != i10,
    inference(cnfTransformation,[status(thm)],[f_475]) ).

tff(c_2269,plain,
    ! [J_36] :
      ( ( select(a_1128,J_36) = select(a_1127,J_36) )
      | ( i10 = J_36 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_124,c_1465]) ).

tff(c_1977,plain,
    select(a_1128,i30) = e_1131,
    inference(demodulation,[status(thm),theory(equality)],[c_1974,c_128]) ).

tff(c_2275,plain,
    ( ( select(a_1127,i30) = e_1131 )
    | ( i30 = i10 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_2269,c_1977]) ).

tff(c_2289,plain,
    select(a_1127,i30) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_512,c_2275]) ).

tff(c_2594,plain,
    ( ( select(a_1126,i30) = e_1131 )
    | ( i7 = i30 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_2588,c_2289]) ).

tff(c_2608,plain,
    select(a_1126,i30) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_638,c_2594]) ).

tff(c_1532,plain,
    ! [J_14] :
      ( ( select(a_1126,J_14) = select(a_1125,J_14) )
      | ( i24 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_120,c_1465]) ).

tff(c_2616,plain,
    ( ( select(a_1125,i30) = e_1131 )
    | ( i30 = i24 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_2608,c_1532]) ).

tff(c_2622,plain,
    select(a_1125,i30) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_162,c_2616]) ).

tff(c_2654,plain,
    ( ( select(a_1124,i30) = e_1131 )
    | ( i30 = i23 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_2648,c_2622]) ).

tff(c_2668,plain,
    select(a_1124,i30) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_174,c_2654]) ).

tff(c_2854,plain,
    ( ( select(a_1123,i30) = e_1131 )
    | ( i30 = i17 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_2848,c_2668]) ).

tff(c_2868,plain,
    select(a_1123,i30) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_288,c_2854]) ).

tff(c_114,plain,
    store(a_1122,i28,e28) = a_1123,
    inference(cnfTransformation,[status(thm)],[f_85]) ).

tff(c_1616,plain,
    ! [J_14] :
      ( ( select(a_1123,J_14) = select(a_1122,J_14) )
      | ( i28 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_114,c_1465]) ).

tff(c_2876,plain,
    ( ( select(a_1122,i30) = e_1131 )
    | ( i30 = i28 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_2868,c_1616]) ).

tff(c_2882,plain,
    select(a_1122,i30) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_134,c_2876]) ).

tff(c_112,plain,
    store(a_1121,i16,e16) = a_1122,
    inference(cnfTransformation,[status(thm)],[f_84]) ).

tff(c_1571,plain,
    ! [J_14] :
      ( ( select(a_1122,J_14) = select(a_1121,J_14) )
      | ( i16 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_112,c_1465]) ).

tff(c_2889,plain,
    ( ( select(a_1121,i30) = e_1131 )
    | ( i30 = i16 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_2882,c_1571]) ).

tff(c_2895,plain,
    select(a_1121,i30) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_314,c_2889]) ).

tff(c_2906,plain,
    ( ( select(a_1120,i30) = e_1131 )
    | ( i30 = i12 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1619,c_2895]) ).

tff(c_2910,plain,
    select(a_1120,i30) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_438,c_2906]) ).

tff(c_108,plain,
    store(a_1119,i3,e3) = a_1120,
    inference(cnfTransformation,[status(thm)],[f_82]) ).

tff(c_1550,plain,
    ! [J_14] :
      ( ( select(a_1120,J_14) = select(a_1119,J_14) )
      | ( i3 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_108,c_1465]) ).

tff(c_2932,plain,
    ( ( select(a_1119,i30) = e_1131 )
    | ( i30 = i3 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_2910,c_1550]) ).

tff(c_2938,plain,
    select(a_1119,i30) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_834,c_2932]) ).

tff(c_106,plain,
    store(a_1118,i27,e27) = a_1119,
    inference(cnfTransformation,[status(thm)],[f_81]) ).

tff(c_1649,plain,
    ! [J_14] :
      ( ( select(a_1119,J_14) = select(a_1118,J_14) )
      | ( i27 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_106,c_1465]) ).

tff(c_2945,plain,
    ( ( select(a_1118,i30) = e_1131 )
    | ( i30 = i27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_2938,c_1649]) ).

tff(c_2951,plain,
    select(a_1118,i30) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_138,c_2945]) ).

tff(c_104,plain,
    store(a_1117,i22,e22) = a_1118,
    inference(cnfTransformation,[status(thm)],[f_80]) ).

tff(c_1493,plain,
    ! [J_14] :
      ( ( select(a_1118,J_14) = select(a_1117,J_14) )
      | ( i22 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_104,c_1465]) ).

tff(c_2958,plain,
    ( ( select(a_1117,i30) = e_1131 )
    | ( i30 = i22 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_2951,c_1493]) ).

tff(c_2964,plain,
    select(a_1117,i30) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_188,c_2958]) ).

tff(c_102,plain,
    store(a_1116,i26,e26) = a_1117,
    inference(cnfTransformation,[status(thm)],[f_79]) ).

tff(c_1544,plain,
    ! [J_14] :
      ( ( select(a_1117,J_14) = select(a_1116,J_14) )
      | ( i26 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_102,c_1465]) ).

tff(c_2971,plain,
    ( ( select(a_1116,i30) = e_1131 )
    | ( i30 = i26 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_2964,c_1544]) ).

tff(c_2977,plain,
    select(a_1116,i30) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_144,c_2971]) ).

tff(c_100,plain,
    store(a_1115,i5,e5) = a_1116,
    inference(cnfTransformation,[status(thm)],[f_78]) ).

tff(c_1484,plain,
    ! [J_14] :
      ( ( select(a_1116,J_14) = select(a_1115,J_14) )
      | ( i5 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_100,c_1465]) ).

tff(c_2984,plain,
    ( ( select(a_1115,i30) = e_1131 )
    | ( i5 = i30 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_2977,c_1484]) ).

tff(c_2990,plain,
    select(a_1115,i30) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_732,c_2984]) ).

tff(c_3018,plain,
    ( ( select(a_1114,i30) = e_1131 )
    | ( i30 = i29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1553,c_2990]) ).

tff(c_3022,plain,
    select(a_1114,i30) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_132,c_3018]) ).

tff(c_3031,plain,
    ( ( select(a_1113,i30) = e_1131 )
    | ( i30 = i14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1643,c_3022]) ).

tff(c_3035,plain,
    select(a_1113,i30) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_372,c_3031]) ).

tff(c_3099,plain,
    ( ( select(a_1112,i30) = e_1131 )
    | ( i30 = i11 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_3093,c_3035]) ).

tff(c_3113,plain,
    select(a_1112,i30) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_474,c_3099]) ).

tff(c_3125,plain,
    ( ( select(a_1111,i30) = e_1131 )
    | ( i6 = i30 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1574,c_3113]) ).

tff(c_3129,plain,
    select(a_1111,i30) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_684,c_3125]) ).

tff(c_3138,plain,
    ( ( select(a_1110,i30) = e_1131 )
    | ( i30 = i21 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1583,c_3129]) ).

tff(c_3142,plain,
    select(a_1110,i30) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_204,c_3138]) ).

tff(c_3151,plain,
    ( ( select(a_1109,i30) = e_1131 )
    | ( i8 = i30 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1487,c_3142]) ).

tff(c_3155,plain,
    select(a_1109,i30) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_594,c_3151]) ).

tff(c_3164,plain,
    ( ( select(a_1108,i30) = e_1131 )
    | ( i30 = i20 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1517,c_3155]) ).

tff(c_3168,plain,
    select(a_1108,i30) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_222,c_3164]) ).

tff(c_3194,plain,
    ( ( select(a_1107,i30) = e_1131 )
    | ( i30 = i18 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1598,c_3168]) ).

tff(c_3198,plain,
    select(a_1107,i30) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_264,c_3194]) ).

tff(c_82,plain,
    store(a_1106,i25,e25) = a_1107,
    inference(cnfTransformation,[status(thm)],[f_69]) ).

tff(c_1577,plain,
    ! [J_14] :
      ( ( select(a_1107,J_14) = select(a_1106,J_14) )
      | ( i25 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_82,c_1465]) ).

tff(c_3203,plain,
    ( ( select(a_1106,i30) = e_1131 )
    | ( i30 = i25 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_3198,c_1577]) ).

tff(c_3209,plain,
    select(a_1106,i30) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_152,c_3203]) ).

tff(c_3220,plain,
    ( ( select(a_1105,i30) = e_1131 )
    | ( i30 = i15 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1490,c_3209]) ).

tff(c_3224,plain,
    select(a_1105,i30) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_342,c_3220]) ).

tff(c_78,plain,
    store(a_1104,i2,e2) = a_1105,
    inference(cnfTransformation,[status(thm)],[f_67]) ).

tff(c_1526,plain,
    ! [J_14] :
      ( ( select(a_1105,J_14) = select(a_1104,J_14) )
      | ( i2 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_78,c_1465]) ).

tff(c_3229,plain,
    ( ( select(a_1104,i30) = e_1131 )
    | ( i30 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_3224,c_1526]) ).

tff(c_3235,plain,
    ( ( e_1131 = e30 )
    | ( i30 = i2 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1420,c_3229]) ).

tff(c_3237,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_888,c_1983,c_3235]) ).

tff(c_3238,plain,
    select(a_1097,i_1129) = e_1130,
    inference(splitRight,[status(thm)],[c_1960]) ).

tff(c_3405,plain,
    ( ( select(a_1096,i_1129) = e_1130 )
    | ( i_1129 = i29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_3399,c_3238]) ).

tff(c_3422,plain,
    i_1129 = i29,
    inference(splitLeft,[status(thm)],[c_3405]) ).

tff(c_3423,plain,
    select(a_1097,i29) = e_1130,
    inference(demodulation,[status(thm),theory(equality)],[c_3422,c_3238]) ).

tff(c_3428,plain,
    e_1130 = e29,
    inference(demodulation,[status(thm),theory(equality)],[c_1279,c_3423]) ).

tff(c_3433,plain,
    e_1131 != e29,
    inference(demodulation,[status(thm),theory(equality)],[c_3428,c_1002]) ).

tff(c_1336,plain,
    select(a_1115,i29) = e29,
    inference(superposition,[status(thm),theory(equality)],[c_98,c_1255]) ).

tff(c_146,plain,
    i29 != i26,
    inference(cnfTransformation,[status(thm)],[f_109]) ).

tff(c_190,plain,
    i29 != i22,
    inference(cnfTransformation,[status(thm)],[f_153]) ).

tff(c_140,plain,
    i29 != i27,
    inference(cnfTransformation,[status(thm)],[f_103]) ).

tff(c_836,plain,
    i3 != i29,
    inference(cnfTransformation,[status(thm)],[f_799]) ).

tff(c_440,plain,
    i29 != i12,
    inference(cnfTransformation,[status(thm)],[f_403]) ).

tff(c_316,plain,
    i29 != i16,
    inference(cnfTransformation,[status(thm)],[f_279]) ).

tff(c_136,plain,
    i29 != i28,
    inference(cnfTransformation,[status(thm)],[f_99]) ).

tff(c_290,plain,
    i29 != i17,
    inference(cnfTransformation,[status(thm)],[f_253]) ).

tff(c_1613,plain,
    ! [J_14] :
      ( ( select(a_1124,J_14) = select(a_1123,J_14) )
      | ( i17 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_116,c_1465]) ).

tff(c_176,plain,
    i29 != i23,
    inference(cnfTransformation,[status(thm)],[f_139]) ).

tff(c_1502,plain,
    ! [J_14] :
      ( ( select(a_1125,J_14) = select(a_1124,J_14) )
      | ( i23 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_118,c_1465]) ).

tff(c_164,plain,
    i29 != i24,
    inference(cnfTransformation,[status(thm)],[f_127]) ).

tff(c_640,plain,
    i7 != i29,
    inference(cnfTransformation,[status(thm)],[f_603]) ).

tff(c_4223,plain,
    ! [J_129] :
      ( ( select(a_1127,J_129) = select(a_1126,J_129) )
      | ( i7 = J_129 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_122,c_1465]) ).

tff(c_514,plain,
    i29 != i10,
    inference(cnfTransformation,[status(thm)],[f_477]) ).

tff(c_3598,plain,
    ! [J_93] :
      ( ( select(a_1128,J_93) = select(a_1127,J_93) )
      | ( i10 = J_93 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_124,c_1465]) ).

tff(c_3427,plain,
    select(a_1128,i29) = e_1131,
    inference(demodulation,[status(thm),theory(equality)],[c_3422,c_128]) ).

tff(c_3604,plain,
    ( ( select(a_1127,i29) = e_1131 )
    | ( i29 = i10 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_3598,c_3427]) ).

tff(c_3618,plain,
    select(a_1127,i29) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_514,c_3604]) ).

tff(c_4229,plain,
    ( ( select(a_1126,i29) = e_1131 )
    | ( i7 = i29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_4223,c_3618]) ).

tff(c_4243,plain,
    select(a_1126,i29) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_640,c_4229]) ).

tff(c_4255,plain,
    ( ( select(a_1125,i29) = e_1131 )
    | ( i29 = i24 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1532,c_4243]) ).

tff(c_4259,plain,
    select(a_1125,i29) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_164,c_4255]) ).

tff(c_4268,plain,
    ( ( select(a_1124,i29) = e_1131 )
    | ( i29 = i23 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1502,c_4259]) ).

tff(c_4272,plain,
    select(a_1124,i29) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_176,c_4268]) ).

tff(c_4281,plain,
    ( ( select(a_1123,i29) = e_1131 )
    | ( i29 = i17 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1613,c_4272]) ).

tff(c_4285,plain,
    select(a_1123,i29) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_290,c_4281]) ).

tff(c_4294,plain,
    ( ( select(a_1122,i29) = e_1131 )
    | ( i29 = i28 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1616,c_4285]) ).

tff(c_4298,plain,
    select(a_1122,i29) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_136,c_4294]) ).

tff(c_4307,plain,
    ( ( select(a_1121,i29) = e_1131 )
    | ( i29 = i16 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1571,c_4298]) ).

tff(c_4311,plain,
    select(a_1121,i29) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_316,c_4307]) ).

tff(c_4320,plain,
    ( ( select(a_1120,i29) = e_1131 )
    | ( i29 = i12 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1619,c_4311]) ).

tff(c_4324,plain,
    select(a_1120,i29) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_440,c_4320]) ).

tff(c_4333,plain,
    ( ( select(a_1119,i29) = e_1131 )
    | ( i3 = i29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1550,c_4324]) ).

tff(c_4337,plain,
    select(a_1119,i29) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_836,c_4333]) ).

tff(c_4346,plain,
    ( ( select(a_1118,i29) = e_1131 )
    | ( i29 = i27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1649,c_4337]) ).

tff(c_4350,plain,
    select(a_1118,i29) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_140,c_4346]) ).

tff(c_4359,plain,
    ( ( select(a_1117,i29) = e_1131 )
    | ( i29 = i22 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1493,c_4350]) ).

tff(c_4363,plain,
    select(a_1117,i29) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_190,c_4359]) ).

tff(c_4372,plain,
    ( ( select(a_1116,i29) = e_1131 )
    | ( i29 = i26 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1544,c_4363]) ).

tff(c_4376,plain,
    select(a_1116,i29) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_146,c_4372]) ).

tff(c_4381,plain,
    ( ( select(a_1115,i29) = e_1131 )
    | ( i5 = i29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_4376,c_1484]) ).

tff(c_4387,plain,
    ( ( e_1131 = e29 )
    | ( i5 = i29 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1336,c_4381]) ).

tff(c_4389,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_734,c_3433,c_4387]) ).

tff(c_4390,plain,
    select(a_1096,i_1129) = e_1130,
    inference(splitRight,[status(thm)],[c_3405]) ).

tff(c_4541,plain,
    select(a_1096,i10) = e_1130,
    inference(demodulation,[status(thm),theory(equality)],[c_4540,c_4390]) ).

tff(c_4856,plain,
    ( ( select(a_1095,i10) = e_1130 )
    | ( i28 = i10 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_4850,c_4541]) ).

tff(c_4870,plain,
    select(a_1095,i10) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_516,c_4856]) ).

tff(c_58,plain,
    store(a_1094,i27,e27) = a_1095,
    inference(cnfTransformation,[status(thm)],[f_57]) ).

tff(c_1640,plain,
    ! [J_14] :
      ( ( select(a_1095,J_14) = select(a_1094,J_14) )
      | ( i27 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_58,c_1465]) ).

tff(c_4878,plain,
    ( ( select(a_1094,i10) = e_1130 )
    | ( i27 = i10 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_4870,c_1640]) ).

tff(c_4884,plain,
    select(a_1094,i10) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_518,c_4878]) ).

tff(c_4895,plain,
    ( ( select(a_1093,i10) = e_1130 )
    | ( i26 = i10 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1625,c_4884]) ).

tff(c_4899,plain,
    select(a_1093,i10) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_520,c_4895]) ).

tff(c_5150,plain,
    ( ( select(a_1092,i10) = e_1130 )
    | ( i25 = i10 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_5144,c_4899]) ).

tff(c_5164,plain,
    select(a_1092,i10) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_522,c_5150]) ).

tff(c_52,plain,
    store(a_1091,i24,e24) = a_1092,
    inference(cnfTransformation,[status(thm)],[f_54]) ).

tff(c_1499,plain,
    ! [J_14] :
      ( ( select(a_1092,J_14) = select(a_1091,J_14) )
      | ( i24 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_52,c_1465]) ).

tff(c_5172,plain,
    ( ( select(a_1091,i10) = e_1130 )
    | ( i24 = i10 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_5164,c_1499]) ).

tff(c_5178,plain,
    select(a_1091,i10) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_524,c_5172]) ).

tff(c_5206,plain,
    ( ( select(a_1090,i10) = e_1130 )
    | ( i23 = i10 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1523,c_5178]) ).

tff(c_5210,plain,
    select(a_1090,i10) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_526,c_5206]) ).

tff(c_1505,plain,
    ! [J_14] :
      ( ( select(a_1090,J_14) = select(a_1089,J_14) )
      | ( i22 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_48,c_1465]) ).

tff(c_5215,plain,
    ( ( select(a_1089,i10) = e_1130 )
    | ( i22 = i10 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_5210,c_1505]) ).

tff(c_5221,plain,
    select(a_1089,i10) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_528,c_5215]) ).

tff(c_5232,plain,
    ( ( select(a_1088,i10) = e_1130 )
    | ( i21 = i10 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1595,c_5221]) ).

tff(c_5236,plain,
    select(a_1088,i10) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_530,c_5232]) ).

tff(c_5245,plain,
    ( ( select(a_1087,i10) = e_1130 )
    | ( i20 = i10 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1580,c_5236]) ).

tff(c_5249,plain,
    select(a_1087,i10) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_532,c_5245]) ).

tff(c_5258,plain,
    ( ( select(a_1086,i10) = e_1130 )
    | ( i19 = i10 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1508,c_5249]) ).

tff(c_5262,plain,
    select(a_1086,i10) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_534,c_5258]) ).

tff(c_5288,plain,
    ( ( select(a_1085,i10) = e_1130 )
    | ( i18 = i10 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1610,c_5262]) ).

tff(c_5292,plain,
    select(a_1085,i10) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_536,c_5288]) ).

tff(c_5301,plain,
    ( ( select(a_1084,i10) = e_1130 )
    | ( i17 = i10 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1586,c_5292]) ).

tff(c_5305,plain,
    select(a_1084,i10) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_538,c_5301]) ).

tff(c_5335,plain,
    ( ( select(a_1083,i10) = e_1130 )
    | ( i16 = i10 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_5329,c_5305]) ).

tff(c_5349,plain,
    select(a_1083,i10) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_540,c_5335]) ).

tff(c_5378,plain,
    ( ( select(a_1082,i10) = e_1130 )
    | ( i15 = i10 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1655,c_5349]) ).

tff(c_5382,plain,
    select(a_1082,i10) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_542,c_5378]) ).

tff(c_32,plain,
    store(a_1081,i14,e14) = a_1082,
    inference(cnfTransformation,[status(thm)],[f_44]) ).

tff(c_1607,plain,
    ! [J_14] :
      ( ( select(a_1082,J_14) = select(a_1081,J_14) )
      | ( i14 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_32,c_1465]) ).

tff(c_5387,plain,
    ( ( select(a_1081,i10) = e_1130 )
    | ( i14 = i10 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_5382,c_1607]) ).

tff(c_5393,plain,
    select(a_1081,i10) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_544,c_5387]) ).

tff(c_5404,plain,
    ( ( select(a_1080,i10) = e_1130 )
    | ( i13 = i10 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1658,c_5393]) ).

tff(c_5408,plain,
    select(a_1080,i10) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_546,c_5404]) ).

tff(c_5417,plain,
    ( ( select(a_1079,i10) = e_1130 )
    | ( i12 = i10 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1514,c_5408]) ).

tff(c_5421,plain,
    select(a_1079,i10) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_548,c_5417]) ).

tff(c_26,plain,
    store(a_1078,i11,e11) = a_1079,
    inference(cnfTransformation,[status(thm)],[f_41]) ).

tff(c_1520,plain,
    ! [J_14] :
      ( ( select(a_1079,J_14) = select(a_1078,J_14) )
      | ( i11 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_26,c_1465]) ).

tff(c_5426,plain,
    ( ( select(a_1078,i10) = e_1130 )
    | ( i11 = i10 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_5421,c_1520]) ).

tff(c_5432,plain,
    ( ( e_1130 = e10 )
    | ( i11 = i10 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1429,c_5426]) ).

tff(c_5434,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_550,c_4570,c_5432]) ).

tff(c_5435,plain,
    select(a_1127,i_1129) = e_1131,
    inference(splitRight,[status(thm)],[c_4526]) ).

tff(c_1562,plain,
    ! [J_14] :
      ( ( select(a_1127,J_14) = select(a_1126,J_14) )
      | ( i7 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_122,c_1465]) ).

tff(c_5457,plain,
    ( ( select(a_1126,i_1129) = e_1131 )
    | ( i_1129 = i7 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_5435,c_1562]) ).

tff(c_5483,plain,
    i_1129 = i7,
    inference(splitLeft,[status(thm)],[c_5457]) ).

tff(c_5484,plain,
    select(a_1127,i7) = e_1131,
    inference(demodulation,[status(thm),theory(equality)],[c_5483,c_5435]) ).

tff(c_5493,plain,
    e_1131 = e7,
    inference(demodulation,[status(thm),theory(equality)],[c_1345,c_5484]) ).

tff(c_5498,plain,
    e_1130 != e7,
    inference(demodulation,[status(thm),theory(equality)],[c_5493,c_1002]) ).

tff(c_18,plain,
    store(a_1074,i7,e7) = a_1075,
    inference(cnfTransformation,[status(thm)],[f_37]) ).

tff(c_1342,plain,
    select(a_1075,i7) = e7,
    inference(superposition,[status(thm),theory(equality)],[c_18,c_1255]) ).

tff(c_20,plain,
    store(a_1075,i8,e8) = a_1076,
    inference(cnfTransformation,[status(thm)],[f_38]) ).

tff(c_6376,plain,
    ! [J_209] :
      ( ( select(a_1076,J_209) = select(a_1075,J_209) )
      | ( i8 = J_209 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_20,c_1465]) ).

tff(c_680,plain,
    i9 != i7,
    inference(cnfTransformation,[status(thm)],[f_643]) ).

tff(c_678,plain,
    i7 != i10,
    inference(cnfTransformation,[status(thm)],[f_641]) ).

tff(c_1646,plain,
    ! [J_14] :
      ( ( select(a_1078,J_14) = select(a_1077,J_14) )
      | ( i10 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_24,c_1465]) ).

tff(c_676,plain,
    i7 != i11,
    inference(cnfTransformation,[status(thm)],[f_639]) ).

tff(c_674,plain,
    i7 != i12,
    inference(cnfTransformation,[status(thm)],[f_637]) ).

tff(c_672,plain,
    i7 != i13,
    inference(cnfTransformation,[status(thm)],[f_635]) ).

tff(c_670,plain,
    i7 != i14,
    inference(cnfTransformation,[status(thm)],[f_633]) ).

tff(c_668,plain,
    i7 != i15,
    inference(cnfTransformation,[status(thm)],[f_631]) ).

tff(c_666,plain,
    i7 != i16,
    inference(cnfTransformation,[status(thm)],[f_629]) ).

tff(c_1604,plain,
    ! [J_14] :
      ( ( select(a_1084,J_14) = select(a_1083,J_14) )
      | ( i16 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_36,c_1465]) ).

tff(c_664,plain,
    i7 != i17,
    inference(cnfTransformation,[status(thm)],[f_627]) ).

tff(c_662,plain,
    i7 != i18,
    inference(cnfTransformation,[status(thm)],[f_625]) ).

tff(c_660,plain,
    i7 != i19,
    inference(cnfTransformation,[status(thm)],[f_623]) ).

tff(c_658,plain,
    i7 != i20,
    inference(cnfTransformation,[status(thm)],[f_621]) ).

tff(c_656,plain,
    i7 != i21,
    inference(cnfTransformation,[status(thm)],[f_619]) ).

tff(c_654,plain,
    i7 != i22,
    inference(cnfTransformation,[status(thm)],[f_617]) ).

tff(c_652,plain,
    i7 != i23,
    inference(cnfTransformation,[status(thm)],[f_615]) ).

tff(c_650,plain,
    i7 != i24,
    inference(cnfTransformation,[status(thm)],[f_613]) ).

tff(c_648,plain,
    i7 != i25,
    inference(cnfTransformation,[status(thm)],[f_611]) ).

tff(c_6070,plain,
    ! [J_204] :
      ( ( select(a_1093,J_204) = select(a_1092,J_204) )
      | ( i25 = J_204 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_54,c_1465]) ).

tff(c_646,plain,
    i7 != i26,
    inference(cnfTransformation,[status(thm)],[f_609]) ).

tff(c_644,plain,
    i7 != i27,
    inference(cnfTransformation,[status(thm)],[f_607]) ).

tff(c_642,plain,
    i7 != i28,
    inference(cnfTransformation,[status(thm)],[f_605]) ).

tff(c_5776,plain,
    ! [J_189] :
      ( ( select(a_1096,J_189) = select(a_1095,J_189) )
      | ( i28 = J_189 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_60,c_1465]) ).

tff(c_5486,plain,
    select(a_1096,i7) = e_1130,
    inference(demodulation,[status(thm),theory(equality)],[c_5483,c_4390]) ).

tff(c_5782,plain,
    ( ( select(a_1095,i7) = e_1130 )
    | ( i7 = i28 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_5776,c_5486]) ).

tff(c_5796,plain,
    select(a_1095,i7) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_642,c_5782]) ).

tff(c_5804,plain,
    ( ( select(a_1094,i7) = e_1130 )
    | ( i7 = i27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_5796,c_1640]) ).

tff(c_5810,plain,
    select(a_1094,i7) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_644,c_5804]) ).

tff(c_5821,plain,
    ( ( select(a_1093,i7) = e_1130 )
    | ( i7 = i26 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1625,c_5810]) ).

tff(c_5825,plain,
    select(a_1093,i7) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_646,c_5821]) ).

tff(c_6076,plain,
    ( ( select(a_1092,i7) = e_1130 )
    | ( i7 = i25 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_6070,c_5825]) ).

tff(c_6090,plain,
    select(a_1092,i7) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_648,c_6076]) ).

tff(c_6098,plain,
    ( ( select(a_1091,i7) = e_1130 )
    | ( i7 = i24 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_6090,c_1499]) ).

tff(c_6104,plain,
    select(a_1091,i7) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_650,c_6098]) ).

tff(c_6111,plain,
    ( ( select(a_1090,i7) = e_1130 )
    | ( i7 = i23 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_6104,c_1523]) ).

tff(c_6117,plain,
    select(a_1090,i7) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_652,c_6111]) ).

tff(c_6124,plain,
    ( ( select(a_1089,i7) = e_1130 )
    | ( i7 = i22 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_6117,c_1505]) ).

tff(c_6130,plain,
    select(a_1089,i7) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_654,c_6124]) ).

tff(c_6137,plain,
    ( ( select(a_1088,i7) = e_1130 )
    | ( i7 = i21 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_6130,c_1595]) ).

tff(c_6143,plain,
    select(a_1088,i7) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_656,c_6137]) ).

tff(c_6171,plain,
    ( ( select(a_1087,i7) = e_1130 )
    | ( i7 = i20 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1580,c_6143]) ).

tff(c_6175,plain,
    select(a_1087,i7) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_658,c_6171]) ).

tff(c_6180,plain,
    ( ( select(a_1086,i7) = e_1130 )
    | ( i7 = i19 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_6175,c_1508]) ).

tff(c_6186,plain,
    select(a_1086,i7) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_660,c_6180]) ).

tff(c_6197,plain,
    ( ( select(a_1085,i7) = e_1130 )
    | ( i7 = i18 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1610,c_6186]) ).

tff(c_6201,plain,
    select(a_1085,i7) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_662,c_6197]) ).

tff(c_6210,plain,
    ( ( select(a_1084,i7) = e_1130 )
    | ( i7 = i17 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1586,c_6201]) ).

tff(c_6214,plain,
    select(a_1084,i7) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_664,c_6210]) ).

tff(c_6223,plain,
    ( ( select(a_1083,i7) = e_1130 )
    | ( i7 = i16 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1604,c_6214]) ).

tff(c_6227,plain,
    select(a_1083,i7) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_666,c_6223]) ).

tff(c_6253,plain,
    ( ( select(a_1082,i7) = e_1130 )
    | ( i7 = i15 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1655,c_6227]) ).

tff(c_6257,plain,
    select(a_1082,i7) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_668,c_6253]) ).

tff(c_6266,plain,
    ( ( select(a_1081,i7) = e_1130 )
    | ( i7 = i14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1607,c_6257]) ).

tff(c_6270,plain,
    select(a_1081,i7) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_670,c_6266]) ).

tff(c_6279,plain,
    ( ( select(a_1080,i7) = e_1130 )
    | ( i7 = i13 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1658,c_6270]) ).

tff(c_6283,plain,
    select(a_1080,i7) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_672,c_6279]) ).

tff(c_6292,plain,
    ( ( select(a_1079,i7) = e_1130 )
    | ( i7 = i12 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1514,c_6283]) ).

tff(c_6296,plain,
    select(a_1079,i7) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_674,c_6292]) ).

tff(c_6318,plain,
    ( ( select(a_1078,i7) = e_1130 )
    | ( i7 = i11 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_6296,c_1520]) ).

tff(c_6324,plain,
    select(a_1078,i7) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_676,c_6318]) ).

tff(c_6335,plain,
    ( ( select(a_1077,i7) = e_1130 )
    | ( i7 = i10 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1646,c_6324]) ).

tff(c_6339,plain,
    select(a_1077,i7) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_678,c_6335]) ).

tff(c_22,plain,
    store(a_1076,i9,e9) = a_1077,
    inference(cnfTransformation,[status(thm)],[f_39]) ).

tff(c_1541,plain,
    ! [J_14] :
      ( ( select(a_1077,J_14) = select(a_1076,J_14) )
      | ( i9 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_22,c_1465]) ).

tff(c_6344,plain,
    ( ( select(a_1076,i7) = e_1130 )
    | ( i9 = i7 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_6339,c_1541]) ).

tff(c_6350,plain,
    select(a_1076,i7) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_680,c_6344]) ).

tff(c_6382,plain,
    ( ( select(a_1075,i7) = e_1130 )
    | ( i8 = i7 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_6376,c_6350]) ).

tff(c_6396,plain,
    ( ( e_1130 = e7 )
    | ( i8 = i7 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1342,c_6382]) ).

tff(c_6398,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_682,c_5498,c_6396]) ).

tff(c_6399,plain,
    select(a_1126,i_1129) = e_1131,
    inference(splitRight,[status(thm)],[c_5457]) ).

tff(c_8022,plain,
    ( ( select(a_1125,i_1129) = e_1131 )
    | ( i_1129 = i24 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_8016,c_6399]) ).

tff(c_8039,plain,
    i_1129 = i24,
    inference(splitLeft,[status(thm)],[c_8022]) ).

tff(c_8046,plain,
    select(a_1126,i24) = e_1131,
    inference(demodulation,[status(thm),theory(equality)],[c_8039,c_6399]) ).

tff(c_8057,plain,
    e_1131 = e24,
    inference(demodulation,[status(thm),theory(equality)],[c_1315,c_8046]) ).

tff(c_8062,plain,
    e_1130 != e24,
    inference(demodulation,[status(thm),theory(equality)],[c_8057,c_1002]) ).

tff(c_1282,plain,
    select(a_1092,i24) = e24,
    inference(superposition,[status(thm),theory(equality)],[c_52,c_1255]) ).

tff(c_8448,plain,
    ! [J_287] :
      ( ( select(a_1093,J_287) = select(a_1092,J_287) )
      | ( i25 = J_287 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_54,c_1465]) ).

tff(c_196,plain,
    i26 != i22,
    inference(cnfTransformation,[status(thm)],[f_159]) ).

tff(c_1408,plain,
    select(a_1094,i26) = e26,
    inference(superposition,[status(thm),theory(equality)],[c_56,c_1255]) ).

tff(c_840,plain,
    i3 != i27,
    inference(cnfTransformation,[status(thm)],[f_803]) ).

tff(c_1423,plain,
    select(a_1095,i27) = e27,
    inference(superposition,[status(thm),theory(equality)],[c_58,c_1255]) ).

tff(c_292,plain,
    i28 != i17,
    inference(cnfTransformation,[status(thm)],[f_255]) ).

tff(c_1321,plain,
    select(a_1096,i28) = e28,
    inference(superposition,[status(thm),theory(equality)],[c_60,c_1255]) ).

tff(c_6611,plain,
    ! [J_222] :
      ( ( select(a_1096,J_222) = select(a_1095,J_222) )
      | ( i28 = J_222 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_60,c_1465]) ).

tff(c_6617,plain,
    ( ( select(a_1095,i_1129) = e_1130 )
    | ( i_1129 = i28 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_6611,c_4390]) ).

tff(c_6634,plain,
    i_1129 = i28,
    inference(splitLeft,[status(thm)],[c_6617]) ).

tff(c_6639,plain,
    select(a_1096,i28) = e_1130,
    inference(demodulation,[status(thm),theory(equality)],[c_6634,c_4390]) ).

tff(c_6646,plain,
    e_1130 = e28,
    inference(demodulation,[status(thm),theory(equality)],[c_1321,c_6639]) ).

tff(c_6651,plain,
    e_1131 != e28,
    inference(demodulation,[status(thm),theory(equality)],[c_6646,c_1002]) ).

tff(c_1399,plain,
    select(a_1123,i28) = e28,
    inference(superposition,[status(thm),theory(equality)],[c_114,c_1255]) ).

tff(c_178,plain,
    i28 != i23,
    inference(cnfTransformation,[status(thm)],[f_141]) ).

tff(c_166,plain,
    i28 != i24,
    inference(cnfTransformation,[status(thm)],[f_129]) ).

tff(c_6808,plain,
    ! [J_228] :
      ( ( select(a_1126,J_228) = select(a_1125,J_228) )
      | ( i24 = J_228 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_120,c_1465]) ).

tff(c_6635,plain,
    select(a_1126,i28) = e_1131,
    inference(demodulation,[status(thm),theory(equality)],[c_6634,c_6399]) ).

tff(c_6814,plain,
    ( ( select(a_1125,i28) = e_1131 )
    | ( i28 = i24 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_6808,c_6635]) ).

tff(c_6828,plain,
    select(a_1125,i28) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_166,c_6814]) ).

tff(c_6853,plain,
    ( ( select(a_1124,i28) = e_1131 )
    | ( i28 = i23 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_6828,c_1502]) ).

tff(c_6859,plain,
    select(a_1124,i28) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_178,c_6853]) ).

tff(c_6866,plain,
    ( ( select(a_1123,i28) = e_1131 )
    | ( i28 = i17 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_6859,c_1613]) ).

tff(c_6872,plain,
    ( ( e_1131 = e28 )
    | ( i28 = i17 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1399,c_6866]) ).

tff(c_6874,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_292,c_6651,c_6872]) ).

tff(c_6875,plain,
    select(a_1095,i_1129) = e_1130,
    inference(splitRight,[status(thm)],[c_6617]) ).

tff(c_6897,plain,
    ( ( select(a_1094,i_1129) = e_1130 )
    | ( i_1129 = i27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_6875,c_1640]) ).

tff(c_6906,plain,
    i_1129 = i27,
    inference(splitLeft,[status(thm)],[c_6897]) ).

tff(c_6907,plain,
    select(a_1095,i27) = e_1130,
    inference(demodulation,[status(thm),theory(equality)],[c_6906,c_6875]) ).

tff(c_6920,plain,
    e_1130 = e27,
    inference(demodulation,[status(thm),theory(equality)],[c_1423,c_6907]) ).

tff(c_6942,plain,
    e_1131 != e27,
    inference(demodulation,[status(thm),theory(equality)],[c_6920,c_1002]) ).

tff(c_1432,plain,
    select(a_1119,i27) = e27,
    inference(superposition,[status(thm),theory(equality)],[c_106,c_1255]) ).

tff(c_444,plain,
    i27 != i12,
    inference(cnfTransformation,[status(thm)],[f_407]) ).

tff(c_320,plain,
    i27 != i16,
    inference(cnfTransformation,[status(thm)],[f_283]) ).

tff(c_142,plain,
    i28 != i27,
    inference(cnfTransformation,[status(thm)],[f_105]) ).

tff(c_7340,plain,
    ! [J_248] :
      ( ( select(a_1123,J_248) = select(a_1122,J_248) )
      | ( i28 = J_248 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_114,c_1465]) ).

tff(c_294,plain,
    i27 != i17,
    inference(cnfTransformation,[status(thm)],[f_257]) ).

tff(c_180,plain,
    i27 != i23,
    inference(cnfTransformation,[status(thm)],[f_143]) ).

tff(c_168,plain,
    i27 != i24,
    inference(cnfTransformation,[status(thm)],[f_131]) ).

tff(c_7097,plain,
    ! [J_236] :
      ( ( select(a_1126,J_236) = select(a_1125,J_236) )
      | ( i24 = J_236 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_120,c_1465]) ).

tff(c_6909,plain,
    select(a_1126,i27) = e_1131,
    inference(demodulation,[status(thm),theory(equality)],[c_6906,c_6399]) ).

tff(c_7103,plain,
    ( ( select(a_1125,i27) = e_1131 )
    | ( i27 = i24 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_7097,c_6909]) ).

tff(c_7117,plain,
    select(a_1125,i27) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_168,c_7103]) ).

tff(c_7129,plain,
    ( ( select(a_1124,i27) = e_1131 )
    | ( i27 = i23 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1502,c_7117]) ).

tff(c_7133,plain,
    select(a_1124,i27) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_180,c_7129]) ).

tff(c_7155,plain,
    ( ( select(a_1123,i27) = e_1131 )
    | ( i27 = i17 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_7133,c_1613]) ).

tff(c_7161,plain,
    select(a_1123,i27) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_294,c_7155]) ).

tff(c_7346,plain,
    ( ( select(a_1122,i27) = e_1131 )
    | ( i28 = i27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_7340,c_7161]) ).

tff(c_7360,plain,
    select(a_1122,i27) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_142,c_7346]) ).

tff(c_7368,plain,
    ( ( select(a_1121,i27) = e_1131 )
    | ( i27 = i16 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_7360,c_1571]) ).

tff(c_7374,plain,
    select(a_1121,i27) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_320,c_7368]) ).

tff(c_7385,plain,
    ( ( select(a_1120,i27) = e_1131 )
    | ( i27 = i12 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1619,c_7374]) ).

tff(c_7389,plain,
    select(a_1120,i27) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_444,c_7385]) ).

tff(c_7411,plain,
    ( ( select(a_1119,i27) = e_1131 )
    | ( i3 = i27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_7389,c_1550]) ).

tff(c_7417,plain,
    ( ( e_1131 = e27 )
    | ( i3 = i27 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1432,c_7411]) ).

tff(c_7419,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_840,c_6942,c_7417]) ).

tff(c_7420,plain,
    select(a_1094,i_1129) = e_1130,
    inference(splitRight,[status(thm)],[c_6897]) ).

tff(c_7429,plain,
    ( ( select(a_1093,i_1129) = e_1130 )
    | ( i_1129 = i26 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1625,c_7420]) ).

tff(c_7451,plain,
    i_1129 = i26,
    inference(splitLeft,[status(thm)],[c_7429]) ).

tff(c_7452,plain,
    select(a_1094,i26) = e_1130,
    inference(demodulation,[status(thm),theory(equality)],[c_7451,c_7420]) ).

tff(c_7467,plain,
    e_1130 = e26,
    inference(demodulation,[status(thm),theory(equality)],[c_1408,c_7452]) ).

tff(c_7472,plain,
    e_1131 != e26,
    inference(demodulation,[status(thm),theory(equality)],[c_7467,c_1002]) ).

tff(c_1327,plain,
    select(a_1117,i26) = e26,
    inference(superposition,[status(thm),theory(equality)],[c_102,c_1255]) ).

tff(c_150,plain,
    i27 != i26,
    inference(cnfTransformation,[status(thm)],[f_113]) ).

tff(c_842,plain,
    i3 != i26,
    inference(cnfTransformation,[status(thm)],[f_805]) ).

tff(c_446,plain,
    i26 != i12,
    inference(cnfTransformation,[status(thm)],[f_409]) ).

tff(c_322,plain,
    i26 != i16,
    inference(cnfTransformation,[status(thm)],[f_285]) ).

tff(c_148,plain,
    i28 != i26,
    inference(cnfTransformation,[status(thm)],[f_111]) ).

tff(c_7868,plain,
    ! [J_266] :
      ( ( select(a_1123,J_266) = select(a_1122,J_266) )
      | ( i28 = J_266 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_114,c_1465]) ).

tff(c_296,plain,
    i26 != i17,
    inference(cnfTransformation,[status(thm)],[f_259]) ).

tff(c_182,plain,
    i26 != i23,
    inference(cnfTransformation,[status(thm)],[f_145]) ).

tff(c_170,plain,
    i26 != i24,
    inference(cnfTransformation,[status(thm)],[f_133]) ).

tff(c_7676,plain,
    ! [J_257] :
      ( ( select(a_1126,J_257) = select(a_1125,J_257) )
      | ( i24 = J_257 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_120,c_1465]) ).

tff(c_7456,plain,
    select(a_1126,i26) = e_1131,
    inference(demodulation,[status(thm),theory(equality)],[c_7451,c_6399]) ).

tff(c_7682,plain,
    ( ( select(a_1125,i26) = e_1131 )
    | ( i26 = i24 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_7676,c_7456]) ).

tff(c_7696,plain,
    select(a_1125,i26) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_170,c_7682]) ).

tff(c_7708,plain,
    ( ( select(a_1124,i26) = e_1131 )
    | ( i26 = i23 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1502,c_7696]) ).

tff(c_7712,plain,
    select(a_1124,i26) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_182,c_7708]) ).

tff(c_7721,plain,
    ( ( select(a_1123,i26) = e_1131 )
    | ( i26 = i17 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1613,c_7712]) ).

tff(c_7725,plain,
    select(a_1123,i26) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_296,c_7721]) ).

tff(c_7874,plain,
    ( ( select(a_1122,i26) = e_1131 )
    | ( i28 = i26 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_7868,c_7725]) ).

tff(c_7888,plain,
    select(a_1122,i26) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_148,c_7874]) ).

tff(c_7896,plain,
    ( ( select(a_1121,i26) = e_1131 )
    | ( i26 = i16 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_7888,c_1571]) ).

tff(c_7902,plain,
    select(a_1121,i26) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_322,c_7896]) ).

tff(c_7926,plain,
    ( ( select(a_1120,i26) = e_1131 )
    | ( i26 = i12 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_7902,c_1619]) ).

tff(c_7932,plain,
    select(a_1120,i26) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_446,c_7926]) ).

tff(c_7939,plain,
    ( ( select(a_1119,i26) = e_1131 )
    | ( i3 = i26 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_7932,c_1550]) ).

tff(c_7945,plain,
    select(a_1119,i26) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_842,c_7939]) ).

tff(c_7952,plain,
    ( ( select(a_1118,i26) = e_1131 )
    | ( i27 = i26 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_7945,c_1649]) ).

tff(c_7958,plain,
    select(a_1118,i26) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_150,c_7952]) ).

tff(c_7965,plain,
    ( ( select(a_1117,i26) = e_1131 )
    | ( i26 = i22 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_7958,c_1493]) ).

tff(c_7971,plain,
    ( ( e_1131 = e26 )
    | ( i26 = i22 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1327,c_7965]) ).

tff(c_7973,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_196,c_7472,c_7971]) ).

tff(c_7974,plain,
    select(a_1093,i_1129) = e_1130,
    inference(splitRight,[status(thm)],[c_7429]) ).

tff(c_8040,plain,
    select(a_1093,i24) = e_1130,
    inference(demodulation,[status(thm),theory(equality)],[c_8039,c_7974]) ).

tff(c_8454,plain,
    ( ( select(a_1092,i24) = e_1130 )
    | ( i25 = i24 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_8448,c_8040]) ).

tff(c_8468,plain,
    ( ( e_1130 = e24 )
    | ( i25 = i24 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1282,c_8454]) ).

tff(c_8470,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_172,c_8062,c_8468]) ).

tff(c_8471,plain,
    select(a_1125,i_1129) = e_1131,
    inference(splitRight,[status(thm)],[c_8022]) ).

tff(c_8493,plain,
    ( ( select(a_1124,i_1129) = e_1131 )
    | ( i_1129 = i23 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_8471,c_1502]) ).

tff(c_8502,plain,
    i_1129 = i23,
    inference(splitLeft,[status(thm)],[c_8493]) ).

tff(c_8503,plain,
    select(a_1125,i23) = e_1131,
    inference(demodulation,[status(thm),theory(equality)],[c_8502,c_8471]) ).

tff(c_8522,plain,
    e_1131 = e23,
    inference(demodulation,[status(thm),theory(equality)],[c_1285,c_8503]) ).

tff(c_8544,plain,
    e_1130 != e23,
    inference(demodulation,[status(thm),theory(equality)],[c_8522,c_1002]) ).

tff(c_1306,plain,
    select(a_1091,i23) = e23,
    inference(superposition,[status(thm),theory(equality)],[c_50,c_1255]) ).

tff(c_184,plain,
    i25 != i23,
    inference(cnfTransformation,[status(thm)],[f_147]) ).

tff(c_8911,plain,
    ! [J_304] :
      ( ( select(a_1093,J_304) = select(a_1092,J_304) )
      | ( i25 = J_304 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_54,c_1465]) ).

tff(c_8505,plain,
    select(a_1093,i23) = e_1130,
    inference(demodulation,[status(thm),theory(equality)],[c_8502,c_7974]) ).

tff(c_8917,plain,
    ( ( select(a_1092,i23) = e_1130 )
    | ( i25 = i23 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_8911,c_8505]) ).

tff(c_8931,plain,
    select(a_1092,i23) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_184,c_8917]) ).

tff(c_8939,plain,
    ( ( select(a_1091,i23) = e_1130 )
    | ( i24 = i23 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_8931,c_1499]) ).

tff(c_8945,plain,
    ( ( e_1130 = e23 )
    | ( i24 = i23 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1306,c_8939]) ).

tff(c_8947,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_186,c_8544,c_8945]) ).

tff(c_8949,plain,
    i_1129 != i23,
    inference(splitRight,[status(thm)],[c_8493]) ).

tff(c_8472,plain,
    i_1129 != i24,
    inference(splitRight,[status(thm)],[c_8022]) ).

tff(c_274,plain,
    i25 != i18,
    inference(cnfTransformation,[status(thm)],[f_237]) ).

tff(c_1405,plain,
    select(a_1093,i25) = e25,
    inference(superposition,[status(thm),theory(equality)],[c_54,c_1255]) ).

tff(c_9613,plain,
    ! [J_327] :
      ( ( select(a_1093,J_327) = select(a_1092,J_327) )
      | ( i25 = J_327 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_54,c_1465]) ).

tff(c_9619,plain,
    ( ( select(a_1092,i_1129) = e_1130 )
    | ( i_1129 = i25 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_9613,c_7974]) ).

tff(c_9636,plain,
    i_1129 = i25,
    inference(splitLeft,[status(thm)],[c_9619]) ).

tff(c_9643,plain,
    select(a_1093,i25) = e_1130,
    inference(demodulation,[status(thm),theory(equality)],[c_9636,c_7974]) ).

tff(c_9660,plain,
    e_1130 = e25,
    inference(demodulation,[status(thm),theory(equality)],[c_1405,c_9643]) ).

tff(c_9665,plain,
    e_1131 != e25,
    inference(demodulation,[status(thm),theory(equality)],[c_9660,c_1002]) ).

tff(c_1360,plain,
    select(a_1107,i25) = e25,
    inference(superposition,[status(thm),theory(equality)],[c_82,c_1255]) ).

tff(c_232,plain,
    i25 != i20,
    inference(cnfTransformation,[status(thm)],[f_195]) ).

tff(c_604,plain,
    i8 != i25,
    inference(cnfTransformation,[status(thm)],[f_567]) ).

tff(c_214,plain,
    i25 != i21,
    inference(cnfTransformation,[status(thm)],[f_177]) ).

tff(c_694,plain,
    i6 != i25,
    inference(cnfTransformation,[status(thm)],[f_657]) ).

tff(c_484,plain,
    i25 != i11,
    inference(cnfTransformation,[status(thm)],[f_447]) ).

tff(c_1481,plain,
    ! [J_14] :
      ( ( select(a_1113,J_14) = select(a_1112,J_14) )
      | ( i11 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_94,c_1465]) ).

tff(c_382,plain,
    i25 != i14,
    inference(cnfTransformation,[status(thm)],[f_345]) ).

tff(c_154,plain,
    i29 != i25,
    inference(cnfTransformation,[status(thm)],[f_117]) ).

tff(c_10030,plain,
    ! [J_334] :
      ( ( select(a_1115,J_334) = select(a_1114,J_334) )
      | ( i29 = J_334 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_98,c_1465]) ).

tff(c_742,plain,
    i5 != i25,
    inference(cnfTransformation,[status(thm)],[f_705]) ).

tff(c_160,plain,
    i26 != i25,
    inference(cnfTransformation,[status(thm)],[f_123]) ).

tff(c_198,plain,
    i25 != i22,
    inference(cnfTransformation,[status(thm)],[f_161]) ).

tff(c_158,plain,
    i27 != i25,
    inference(cnfTransformation,[status(thm)],[f_121]) ).

tff(c_844,plain,
    i3 != i25,
    inference(cnfTransformation,[status(thm)],[f_807]) ).

tff(c_448,plain,
    i25 != i12,
    inference(cnfTransformation,[status(thm)],[f_411]) ).

tff(c_324,plain,
    i25 != i16,
    inference(cnfTransformation,[status(thm)],[f_287]) ).

tff(c_156,plain,
    i28 != i25,
    inference(cnfTransformation,[status(thm)],[f_119]) ).

tff(c_9875,plain,
    ! [J_331] :
      ( ( select(a_1123,J_331) = select(a_1122,J_331) )
      | ( i28 = J_331 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_114,c_1465]) ).

tff(c_312,plain,
    i18 != i17,
    inference(cnfTransformation,[status(thm)],[f_275]) ).

tff(c_1396,plain,
    select(a_1124,i17) = e17,
    inference(superposition,[status(thm),theory(equality)],[c_116,c_1255]) ).

tff(c_8948,plain,
    select(a_1124,i_1129) = e_1131,
    inference(splitRight,[status(thm)],[c_8493]) ).

tff(c_8957,plain,
    ( ( select(a_1123,i_1129) = e_1131 )
    | ( i_1129 = i17 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1613,c_8948]) ).

tff(c_8979,plain,
    i_1129 = i17,
    inference(splitLeft,[status(thm)],[c_8957]) ).

tff(c_8980,plain,
    select(a_1124,i17) = e_1131,
    inference(demodulation,[status(thm),theory(equality)],[c_8979,c_8948]) ).

tff(c_9001,plain,
    e_1131 = e17,
    inference(demodulation,[status(thm),theory(equality)],[c_1396,c_8980]) ).

tff(c_9010,plain,
    e_1130 != e17,
    inference(demodulation,[status(thm),theory(equality)],[c_9001,c_1002]) ).

tff(c_1369,plain,
    select(a_1085,i17) = e17,
    inference(superposition,[status(thm),theory(equality)],[c_38,c_1255]) ).

tff(c_310,plain,
    i19 != i17,
    inference(cnfTransformation,[status(thm)],[f_273]) ).

tff(c_308,plain,
    i20 != i17,
    inference(cnfTransformation,[status(thm)],[f_271]) ).

tff(c_306,plain,
    i21 != i17,
    inference(cnfTransformation,[status(thm)],[f_269]) ).

tff(c_304,plain,
    i22 != i17,
    inference(cnfTransformation,[status(thm)],[f_267]) ).

tff(c_302,plain,
    i23 != i17,
    inference(cnfTransformation,[status(thm)],[f_265]) ).

tff(c_300,plain,
    i24 != i17,
    inference(cnfTransformation,[status(thm)],[f_263]) ).

tff(c_298,plain,
    i25 != i17,
    inference(cnfTransformation,[status(thm)],[f_261]) ).

tff(c_9388,plain,
    ! [J_320] :
      ( ( select(a_1093,J_320) = select(a_1092,J_320) )
      | ( i25 = J_320 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_54,c_1465]) ).

tff(c_8984,plain,
    select(a_1093,i17) = e_1130,
    inference(demodulation,[status(thm),theory(equality)],[c_8979,c_7974]) ).

tff(c_9394,plain,
    ( ( select(a_1092,i17) = e_1130 )
    | ( i25 = i17 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_9388,c_8984]) ).

tff(c_9408,plain,
    select(a_1092,i17) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_298,c_9394]) ).

tff(c_9416,plain,
    ( ( select(a_1091,i17) = e_1130 )
    | ( i24 = i17 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_9408,c_1499]) ).

tff(c_9422,plain,
    select(a_1091,i17) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_300,c_9416]) ).

tff(c_9433,plain,
    ( ( select(a_1090,i17) = e_1130 )
    | ( i23 = i17 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1523,c_9422]) ).

tff(c_9437,plain,
    select(a_1090,i17) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_302,c_9433]) ).

tff(c_9446,plain,
    ( ( select(a_1089,i17) = e_1130 )
    | ( i22 = i17 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1505,c_9437]) ).

tff(c_9450,plain,
    select(a_1089,i17) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_304,c_9446]) ).

tff(c_9455,plain,
    ( ( select(a_1088,i17) = e_1130 )
    | ( i21 = i17 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_9450,c_1595]) ).

tff(c_9461,plain,
    select(a_1088,i17) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_306,c_9455]) ).

tff(c_9472,plain,
    ( ( select(a_1087,i17) = e_1130 )
    | ( i20 = i17 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1580,c_9461]) ).

tff(c_9476,plain,
    select(a_1087,i17) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_308,c_9472]) ).

tff(c_9481,plain,
    ( ( select(a_1086,i17) = e_1130 )
    | ( i19 = i17 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_9476,c_1508]) ).

tff(c_9487,plain,
    select(a_1086,i17) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_310,c_9481]) ).

tff(c_9494,plain,
    ( ( select(a_1085,i17) = e_1130 )
    | ( i18 = i17 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_9487,c_1610]) ).

tff(c_9500,plain,
    ( ( e_1130 = e17 )
    | ( i18 = i17 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1369,c_9494]) ).

tff(c_9502,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_312,c_9010,c_9500]) ).

tff(c_9503,plain,
    select(a_1123,i_1129) = e_1131,
    inference(splitRight,[status(thm)],[c_8957]) ).

tff(c_9637,plain,
    select(a_1123,i25) = e_1131,
    inference(demodulation,[status(thm),theory(equality)],[c_9636,c_9503]) ).

tff(c_9881,plain,
    ( ( select(a_1122,i25) = e_1131 )
    | ( i28 = i25 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_9875,c_9637]) ).

tff(c_9895,plain,
    select(a_1122,i25) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_156,c_9881]) ).

tff(c_9907,plain,
    ( ( select(a_1121,i25) = e_1131 )
    | ( i25 = i16 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1571,c_9895]) ).

tff(c_9911,plain,
    select(a_1121,i25) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_324,c_9907]) ).

tff(c_9916,plain,
    ( ( select(a_1120,i25) = e_1131 )
    | ( i25 = i12 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_9911,c_1619]) ).

tff(c_9922,plain,
    select(a_1120,i25) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_448,c_9916]) ).

tff(c_9946,plain,
    ( ( select(a_1119,i25) = e_1131 )
    | ( i3 = i25 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_9922,c_1550]) ).

tff(c_9952,plain,
    select(a_1119,i25) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_844,c_9946]) ).

tff(c_9959,plain,
    ( ( select(a_1118,i25) = e_1131 )
    | ( i27 = i25 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_9952,c_1649]) ).

tff(c_9965,plain,
    select(a_1118,i25) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_158,c_9959]) ).

tff(c_9972,plain,
    ( ( select(a_1117,i25) = e_1131 )
    | ( i25 = i22 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_9965,c_1493]) ).

tff(c_9978,plain,
    select(a_1117,i25) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_198,c_9972]) ).

tff(c_9989,plain,
    ( ( select(a_1116,i25) = e_1131 )
    | ( i26 = i25 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1544,c_9978]) ).

tff(c_9993,plain,
    select(a_1116,i25) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_160,c_9989]) ).

tff(c_10019,plain,
    ( ( select(a_1115,i25) = e_1131 )
    | ( i5 = i25 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1484,c_9993]) ).

tff(c_10023,plain,
    select(a_1115,i25) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_742,c_10019]) ).

tff(c_10036,plain,
    ( ( select(a_1114,i25) = e_1131 )
    | ( i29 = i25 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_10030,c_10023]) ).

tff(c_10050,plain,
    select(a_1114,i25) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_154,c_10036]) ).

tff(c_10062,plain,
    ( ( select(a_1113,i25) = e_1131 )
    | ( i25 = i14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1643,c_10050]) ).

tff(c_10066,plain,
    select(a_1113,i25) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_382,c_10062]) ).

tff(c_10075,plain,
    ( ( select(a_1112,i25) = e_1131 )
    | ( i25 = i11 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1481,c_10066]) ).

tff(c_10079,plain,
    select(a_1112,i25) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_484,c_10075]) ).

tff(c_10105,plain,
    ( ( select(a_1111,i25) = e_1131 )
    | ( i6 = i25 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1574,c_10079]) ).

tff(c_10109,plain,
    select(a_1111,i25) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_694,c_10105]) ).

tff(c_10114,plain,
    ( ( select(a_1110,i25) = e_1131 )
    | ( i25 = i21 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_10109,c_1583]) ).

tff(c_10120,plain,
    select(a_1110,i25) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_214,c_10114]) ).

tff(c_10131,plain,
    ( ( select(a_1109,i25) = e_1131 )
    | ( i8 = i25 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1487,c_10120]) ).

tff(c_10135,plain,
    select(a_1109,i25) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_604,c_10131]) ).

tff(c_10144,plain,
    ( ( select(a_1108,i25) = e_1131 )
    | ( i25 = i20 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1517,c_10135]) ).

tff(c_10148,plain,
    select(a_1108,i25) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_232,c_10144]) ).

tff(c_10153,plain,
    ( ( select(a_1107,i25) = e_1131 )
    | ( i25 = i18 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_10148,c_1598]) ).

tff(c_10159,plain,
    ( ( e_1131 = e25 )
    | ( i25 = i18 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1360,c_10153]) ).

tff(c_10161,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_274,c_9665,c_10159]) ).

tff(c_10162,plain,
    select(a_1092,i_1129) = e_1130,
    inference(splitRight,[status(thm)],[c_9619]) ).

tff(c_10184,plain,
    ( ( select(a_1091,i_1129) = e_1130 )
    | ( i_1129 = i24 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_10162,c_1499]) ).

tff(c_10190,plain,
    select(a_1091,i_1129) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_8472,c_10184]) ).

tff(c_10200,plain,
    ( ( select(a_1090,i_1129) = e_1130 )
    | ( i_1129 = i23 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1523,c_10190]) ).

tff(c_10204,plain,
    select(a_1090,i_1129) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_8949,c_10200]) ).

tff(c_10226,plain,
    ( ( select(a_1089,i_1129) = e_1130 )
    | ( i_1129 = i22 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_10204,c_1505]) ).

tff(c_10236,plain,
    i_1129 = i22,
    inference(splitLeft,[status(thm)],[c_10226]) ).

tff(c_10254,plain,
    select(a_1090,i22) = e_1130,
    inference(demodulation,[status(thm),theory(equality)],[c_10236,c_10204]) ).

tff(c_10281,plain,
    e_1130 = e22,
    inference(demodulation,[status(thm),theory(equality)],[c_1288,c_10254]) ).

tff(c_10286,plain,
    e_1131 != e22,
    inference(demodulation,[status(thm),theory(equality)],[c_10281,c_1002]) ).

tff(c_1276,plain,
    select(a_1118,i22) = e22,
    inference(superposition,[status(thm),theory(equality)],[c_104,c_1255]) ).

tff(c_850,plain,
    i3 != i22,
    inference(cnfTransformation,[status(thm)],[f_813]) ).

tff(c_454,plain,
    i22 != i12,
    inference(cnfTransformation,[status(thm)],[f_417]) ).

tff(c_330,plain,
    i22 != i16,
    inference(cnfTransformation,[status(thm)],[f_293]) ).

tff(c_192,plain,
    i28 != i22,
    inference(cnfTransformation,[status(thm)],[f_155]) ).

tff(c_10258,plain,
    select(a_1123,i22) = e_1131,
    inference(demodulation,[status(thm),theory(equality)],[c_10236,c_9503]) ).

tff(c_10518,plain,
    ! [J_341] :
      ( ( select(a_1123,J_341) = select(a_1122,J_341) )
      | ( i28 = J_341 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_114,c_1465]) ).

tff(c_10533,plain,
    ( ( select(a_1122,i22) = e_1131 )
    | ( i28 = i22 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_10258,c_10518]) ).

tff(c_10541,plain,
    select(a_1122,i22) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_192,c_10533]) ).

tff(c_10551,plain,
    ( ( select(a_1121,i22) = e_1131 )
    | ( i22 = i16 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1571,c_10541]) ).

tff(c_10555,plain,
    select(a_1121,i22) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_330,c_10551]) ).

tff(c_10568,plain,
    ( ( select(a_1120,i22) = e_1131 )
    | ( i22 = i12 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1619,c_10555]) ).

tff(c_10572,plain,
    select(a_1120,i22) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_454,c_10568]) ).

tff(c_10598,plain,
    ( ( select(a_1119,i22) = e_1131 )
    | ( i3 = i22 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1550,c_10572]) ).

tff(c_10602,plain,
    select(a_1119,i22) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_850,c_10598]) ).

tff(c_10607,plain,
    ( ( select(a_1118,i22) = e_1131 )
    | ( i27 = i22 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_10602,c_1649]) ).

tff(c_10613,plain,
    ( ( e_1131 = e22 )
    | ( i27 = i22 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1276,c_10607]) ).

tff(c_10615,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_194,c_10286,c_10613]) ).

tff(c_10616,plain,
    select(a_1089,i_1129) = e_1130,
    inference(splitRight,[status(thm)],[c_10226]) ).

tff(c_10642,plain,
    ( ( select(a_1088,i_1129) = e_1130 )
    | ( i_1129 = i21 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1595,c_10616]) ).

tff(c_10647,plain,
    i_1129 = i21,
    inference(splitLeft,[status(thm)],[c_10642]) ).

tff(c_10648,plain,
    select(a_1089,i21) = e_1130,
    inference(demodulation,[status(thm),theory(equality)],[c_10647,c_10616]) ).

tff(c_10677,plain,
    e_1130 = e21,
    inference(demodulation,[status(thm),theory(equality)],[c_1378,c_10648]) ).

tff(c_10699,plain,
    e_1131 != e21,
    inference(demodulation,[status(thm),theory(equality)],[c_10677,c_1002]) ).

tff(c_1366,plain,
    select(a_1111,i21) = e21,
    inference(superposition,[status(thm),theory(equality)],[c_90,c_1255]) ).

tff(c_492,plain,
    i21 != i11,
    inference(cnfTransformation,[status(thm)],[f_455]) ).

tff(c_390,plain,
    i21 != i14,
    inference(cnfTransformation,[status(thm)],[f_353]) ).

tff(c_206,plain,
    i29 != i21,
    inference(cnfTransformation,[status(thm)],[f_169]) ).

tff(c_750,plain,
    i5 != i21,
    inference(cnfTransformation,[status(thm)],[f_713]) ).

tff(c_212,plain,
    i26 != i21,
    inference(cnfTransformation,[status(thm)],[f_175]) ).

tff(c_220,plain,
    i22 != i21,
    inference(cnfTransformation,[status(thm)],[f_183]) ).

tff(c_210,plain,
    i27 != i21,
    inference(cnfTransformation,[status(thm)],[f_173]) ).

tff(c_852,plain,
    i3 != i21,
    inference(cnfTransformation,[status(thm)],[f_815]) ).

tff(c_456,plain,
    i21 != i12,
    inference(cnfTransformation,[status(thm)],[f_419]) ).

tff(c_332,plain,
    i21 != i16,
    inference(cnfTransformation,[status(thm)],[f_295]) ).

tff(c_208,plain,
    i28 != i21,
    inference(cnfTransformation,[status(thm)],[f_171]) ).

tff(c_10654,plain,
    select(a_1123,i21) = e_1131,
    inference(demodulation,[status(thm),theory(equality)],[c_10647,c_9503]) ).

tff(c_10890,plain,
    ( ( select(a_1122,i21) = e_1131 )
    | ( i28 = i21 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_10654,c_1616]) ).

tff(c_10896,plain,
    select(a_1122,i21) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_208,c_10890]) ).

tff(c_10948,plain,
    ( ( select(a_1121,i21) = e_1131 )
    | ( i21 = i16 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_10896,c_1571]) ).

tff(c_10954,plain,
    select(a_1121,i21) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_332,c_10948]) ).

tff(c_10996,plain,
    ( ( select(a_1120,i21) = e_1131 )
    | ( i21 = i12 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1619,c_10954]) ).

tff(c_11000,plain,
    select(a_1120,i21) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_456,c_10996]) ).

tff(c_11026,plain,
    ( ( select(a_1119,i21) = e_1131 )
    | ( i3 = i21 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1550,c_11000]) ).

tff(c_11030,plain,
    select(a_1119,i21) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_852,c_11026]) ).

tff(c_11035,plain,
    ( ( select(a_1118,i21) = e_1131 )
    | ( i27 = i21 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_11030,c_1649]) ).

tff(c_11041,plain,
    select(a_1118,i21) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_210,c_11035]) ).

tff(c_11052,plain,
    ( ( select(a_1117,i21) = e_1131 )
    | ( i22 = i21 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1493,c_11041]) ).

tff(c_11056,plain,
    select(a_1117,i21) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_220,c_11052]) ).

tff(c_11065,plain,
    ( ( select(a_1116,i21) = e_1131 )
    | ( i26 = i21 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1544,c_11056]) ).

tff(c_11069,plain,
    select(a_1116,i21) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_212,c_11065]) ).

tff(c_11078,plain,
    ( ( select(a_1115,i21) = e_1131 )
    | ( i5 = i21 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1484,c_11069]) ).

tff(c_11082,plain,
    select(a_1115,i21) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_750,c_11078]) ).

tff(c_11092,plain,
    ( ( select(a_1114,i21) = e_1131 )
    | ( i29 = i21 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1553,c_11082]) ).

tff(c_11096,plain,
    select(a_1114,i21) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_206,c_11092]) ).

tff(c_11105,plain,
    ( ( select(a_1113,i21) = e_1131 )
    | ( i21 = i14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1643,c_11096]) ).

tff(c_11109,plain,
    select(a_1113,i21) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_390,c_11105]) ).

tff(c_11118,plain,
    ( ( select(a_1112,i21) = e_1131 )
    | ( i21 = i11 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1481,c_11109]) ).

tff(c_11122,plain,
    select(a_1112,i21) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_492,c_11118]) ).

tff(c_11127,plain,
    ( ( select(a_1111,i21) = e_1131 )
    | ( i6 = i21 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_11122,c_1574]) ).

tff(c_11133,plain,
    ( ( e_1131 = e21 )
    | ( i6 = i21 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1366,c_11127]) ).

tff(c_11135,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_702,c_10699,c_11133]) ).

tff(c_11136,plain,
    select(a_1088,i_1129) = e_1130,
    inference(splitRight,[status(thm)],[c_10642]) ).

tff(c_11162,plain,
    ( ( select(a_1087,i_1129) = e_1130 )
    | ( i_1129 = i20 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1580,c_11136]) ).

tff(c_11167,plain,
    i_1129 = i20,
    inference(splitLeft,[status(thm)],[c_11162]) ).

tff(c_11193,plain,
    select(a_1088,i20) = e_1130,
    inference(demodulation,[status(thm),theory(equality)],[c_11167,c_11136]) ).

tff(c_11224,plain,
    e_1130 = e20,
    inference(demodulation,[status(thm),theory(equality)],[c_1363,c_11193]) ).

tff(c_11229,plain,
    e_1131 != e20,
    inference(demodulation,[status(thm),theory(equality)],[c_11224,c_1002]) ).

tff(c_1300,plain,
    select(a_1109,i20) = e20,
    inference(superposition,[status(thm),theory(equality)],[c_86,c_1255]) ).

tff(c_240,plain,
    i21 != i20,
    inference(cnfTransformation,[status(thm)],[f_203]) ).

tff(c_704,plain,
    i6 != i20,
    inference(cnfTransformation,[status(thm)],[f_667]) ).

tff(c_494,plain,
    i20 != i11,
    inference(cnfTransformation,[status(thm)],[f_457]) ).

tff(c_392,plain,
    i20 != i14,
    inference(cnfTransformation,[status(thm)],[f_355]) ).

tff(c_224,plain,
    i29 != i20,
    inference(cnfTransformation,[status(thm)],[f_187]) ).

tff(c_752,plain,
    i5 != i20,
    inference(cnfTransformation,[status(thm)],[f_715]) ).

tff(c_230,plain,
    i26 != i20,
    inference(cnfTransformation,[status(thm)],[f_193]) ).

tff(c_238,plain,
    i22 != i20,
    inference(cnfTransformation,[status(thm)],[f_201]) ).

tff(c_228,plain,
    i27 != i20,
    inference(cnfTransformation,[status(thm)],[f_191]) ).

tff(c_854,plain,
    i3 != i20,
    inference(cnfTransformation,[status(thm)],[f_817]) ).

tff(c_458,plain,
    i20 != i12,
    inference(cnfTransformation,[status(thm)],[f_421]) ).

tff(c_334,plain,
    i20 != i16,
    inference(cnfTransformation,[status(thm)],[f_297]) ).

tff(c_6876,plain,
    i_1129 != i28,
    inference(splitRight,[status(thm)],[c_6617]) ).

tff(c_11168,plain,
    ! [J_350] :
      ( ( select(a_1123,J_350) = select(a_1122,J_350) )
      | ( i28 = J_350 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_114,c_1465]) ).

tff(c_11183,plain,
    ( ( select(a_1122,i_1129) = e_1131 )
    | ( i_1129 = i28 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_9503,c_11168]) ).

tff(c_11191,plain,
    select(a_1122,i_1129) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_6876,c_11183]) ).

tff(c_11234,plain,
    select(a_1122,i20) = e_1131,
    inference(demodulation,[status(thm),theory(equality)],[c_11167,c_11191]) ).

tff(c_11238,plain,
    ( ( select(a_1121,i20) = e_1131 )
    | ( i20 = i16 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_11234,c_1571]) ).

tff(c_11244,plain,
    select(a_1121,i20) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_334,c_11238]) ).

tff(c_11537,plain,
    ( ( select(a_1120,i20) = e_1131 )
    | ( i20 = i12 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1619,c_11244]) ).

tff(c_11541,plain,
    select(a_1120,i20) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_458,c_11537]) ).

tff(c_11554,plain,
    ( ( select(a_1119,i20) = e_1131 )
    | ( i3 = i20 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_11541,c_1550]) ).

tff(c_11560,plain,
    select(a_1119,i20) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_854,c_11554]) ).

tff(c_11571,plain,
    ( ( select(a_1118,i20) = e_1131 )
    | ( i27 = i20 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1649,c_11560]) ).

tff(c_11575,plain,
    select(a_1118,i20) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_228,c_11571]) ).

tff(c_11580,plain,
    ( ( select(a_1117,i20) = e_1131 )
    | ( i22 = i20 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_11575,c_1493]) ).

tff(c_11586,plain,
    select(a_1117,i20) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_238,c_11580]) ).

tff(c_11597,plain,
    ( ( select(a_1116,i20) = e_1131 )
    | ( i26 = i20 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1544,c_11586]) ).

tff(c_11601,plain,
    select(a_1116,i20) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_230,c_11597]) ).

tff(c_11610,plain,
    ( ( select(a_1115,i20) = e_1131 )
    | ( i5 = i20 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1484,c_11601]) ).

tff(c_11614,plain,
    select(a_1115,i20) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_752,c_11610]) ).

tff(c_11619,plain,
    ( ( select(a_1114,i20) = e_1131 )
    | ( i29 = i20 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_11614,c_1553]) ).

tff(c_11625,plain,
    select(a_1114,i20) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_224,c_11619]) ).

tff(c_11636,plain,
    ( ( select(a_1113,i20) = e_1131 )
    | ( i20 = i14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1643,c_11625]) ).

tff(c_11640,plain,
    select(a_1113,i20) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_392,c_11636]) ).

tff(c_11645,plain,
    ( ( select(a_1112,i20) = e_1131 )
    | ( i20 = i11 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_11640,c_1481]) ).

tff(c_11651,plain,
    select(a_1112,i20) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_494,c_11645]) ).

tff(c_11662,plain,
    ( ( select(a_1111,i20) = e_1131 )
    | ( i6 = i20 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1574,c_11651]) ).

tff(c_11666,plain,
    select(a_1111,i20) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_704,c_11662]) ).

tff(c_11675,plain,
    ( ( select(a_1110,i20) = e_1131 )
    | ( i21 = i20 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1583,c_11666]) ).

tff(c_11679,plain,
    select(a_1110,i20) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_240,c_11675]) ).

tff(c_11684,plain,
    ( ( select(a_1109,i20) = e_1131 )
    | ( i8 = i20 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_11679,c_1487]) ).

tff(c_11690,plain,
    ( ( e_1131 = e20 )
    | ( i8 = i20 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1300,c_11684]) ).

tff(c_11692,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_614,c_11229,c_11690]) ).

tff(c_11693,plain,
    select(a_1087,i_1129) = e_1130,
    inference(splitRight,[status(thm)],[c_11162]) ).

tff(c_11755,plain,
    ( ( select(a_1086,i_1129) = e_1130 )
    | ( i_1129 = i19 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1508,c_11693]) ).

tff(c_13203,plain,
    i_1129 = i19,
    inference(splitLeft,[status(thm)],[c_11755]) ).

tff(c_13213,plain,
    select(a_1087,i19) = e_1130,
    inference(demodulation,[status(thm),theory(equality)],[c_13203,c_11693]) ).

tff(c_13247,plain,
    e_1130 = e19,
    inference(demodulation,[status(thm),theory(equality)],[c_1291,c_13213]) ).

tff(c_13252,plain,
    e_1131 != e19,
    inference(demodulation,[status(thm),theory(equality)],[c_13247,c_1002]) ).

tff(c_70,plain,
    store(a_1100,i19,e19) = a_1101,
    inference(cnfTransformation,[status(thm)],[f_63]) ).

tff(c_1417,plain,
    select(a_1101,i19) = e19,
    inference(superposition,[status(thm),theory(equality)],[c_70,c_1255]) ).

tff(c_574,plain,
    i9 != i19,
    inference(cnfTransformation,[status(thm)],[f_537]) ).

tff(c_74,plain,
    store(a_1102,i9,e9) = a_1103,
    inference(cnfTransformation,[status(thm)],[f_65]) ).

tff(c_1592,plain,
    ! [J_14] :
      ( ( select(a_1103,J_14) = select(a_1102,J_14) )
      | ( i9 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_74,c_1465]) ).

tff(c_242,plain,
    i30 != i19,
    inference(cnfTransformation,[status(thm)],[f_205]) ).

tff(c_1637,plain,
    ! [J_14] :
      ( ( select(a_1104,J_14) = select(a_1103,J_14) )
      | ( i30 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_76,c_1465]) ).

tff(c_910,plain,
    i2 != i19,
    inference(cnfTransformation,[status(thm)],[f_873]) ).

tff(c_364,plain,
    i19 != i15,
    inference(cnfTransformation,[status(thm)],[f_327]) ).

tff(c_252,plain,
    i25 != i19,
    inference(cnfTransformation,[status(thm)],[f_215]) ).

tff(c_286,plain,
    i19 != i18,
    inference(cnfTransformation,[status(thm)],[f_249]) ).

tff(c_262,plain,
    i20 != i19,
    inference(cnfTransformation,[status(thm)],[f_225]) ).

tff(c_616,plain,
    i8 != i19,
    inference(cnfTransformation,[status(thm)],[f_579]) ).

tff(c_260,plain,
    i21 != i19,
    inference(cnfTransformation,[status(thm)],[f_223]) ).

tff(c_706,plain,
    i6 != i19,
    inference(cnfTransformation,[status(thm)],[f_669]) ).

tff(c_496,plain,
    i19 != i11,
    inference(cnfTransformation,[status(thm)],[f_459]) ).

tff(c_394,plain,
    i19 != i14,
    inference(cnfTransformation,[status(thm)],[f_357]) ).

tff(c_244,plain,
    i29 != i19,
    inference(cnfTransformation,[status(thm)],[f_207]) ).

tff(c_754,plain,
    i5 != i19,
    inference(cnfTransformation,[status(thm)],[f_717]) ).

tff(c_7975,plain,
    i_1129 != i26,
    inference(splitRight,[status(thm)],[c_7429]) ).

tff(c_10617,plain,
    i_1129 != i22,
    inference(splitRight,[status(thm)],[c_10226]) ).

tff(c_7421,plain,
    i_1129 != i27,
    inference(splitRight,[status(thm)],[c_6897]) ).

tff(c_886,plain,
    i4 != i3,
    inference(cnfTransformation,[status(thm)],[f_849]) ).

tff(c_1333,plain,
    select(a_1120,i3) = e3,
    inference(superposition,[status(thm),theory(equality)],[c_108,c_1255]) ).

tff(c_472,plain,
    i13 != i12,
    inference(cnfTransformation,[status(thm)],[f_435]) ).

tff(c_1402,plain,
    select(a_1121,i12) = e12,
    inference(superposition,[status(thm),theory(equality)],[c_110,c_1255]) ).

tff(c_340,plain,
    i17 != i16,
    inference(cnfTransformation,[status(thm)],[f_303]) ).

tff(c_1354,plain,
    select(a_1122,i16) = e16,
    inference(superposition,[status(thm),theory(equality)],[c_112,c_1255]) ).

tff(c_11695,plain,
    ! [J_354] :
      ( ( select(a_1123,J_354) = select(a_1122,J_354) )
      | ( i28 = J_354 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_114,c_1465]) ).

tff(c_11710,plain,
    ( ( select(a_1122,i_1129) = e_1131 )
    | ( i_1129 = i28 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_9503,c_11695]) ).

tff(c_11718,plain,
    select(a_1122,i_1129) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_6876,c_11710]) ).

tff(c_11723,plain,
    ( ( select(a_1121,i_1129) = e_1131 )
    | ( i_1129 = i16 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_11718,c_1571]) ).

tff(c_11758,plain,
    i_1129 = i16,
    inference(splitLeft,[status(thm)],[c_11723]) ).

tff(c_11760,plain,
    select(a_1122,i16) = e_1131,
    inference(demodulation,[status(thm),theory(equality)],[c_11758,c_11718]) ).

tff(c_11793,plain,
    e_1131 = e16,
    inference(demodulation,[status(thm),theory(equality)],[c_1354,c_11760]) ).

tff(c_11798,plain,
    e_1130 != e16,
    inference(demodulation,[status(thm),theory(equality)],[c_11793,c_1002]) ).

tff(c_1387,plain,
    select(a_1084,i16) = e16,
    inference(superposition,[status(thm),theory(equality)],[c_36,c_1255]) ).

tff(c_338,plain,
    i18 != i16,
    inference(cnfTransformation,[status(thm)],[f_301]) ).

tff(c_336,plain,
    i19 != i16,
    inference(cnfTransformation,[status(thm)],[f_299]) ).

tff(c_11762,plain,
    select(a_1088,i16) = e_1130,
    inference(demodulation,[status(thm),theory(equality)],[c_11758,c_11136]) ).

tff(c_12073,plain,
    ( ( select(a_1087,i16) = e_1130 )
    | ( i20 = i16 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_11762,c_1580]) ).

tff(c_12079,plain,
    select(a_1087,i16) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_334,c_12073]) ).

tff(c_12087,plain,
    ( ( select(a_1086,i16) = e_1130 )
    | ( i19 = i16 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_12079,c_1508]) ).

tff(c_12093,plain,
    select(a_1086,i16) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_336,c_12087]) ).

tff(c_12101,plain,
    ( ( select(a_1085,i16) = e_1130 )
    | ( i18 = i16 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_12093,c_1610]) ).

tff(c_12107,plain,
    select(a_1085,i16) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_338,c_12101]) ).

tff(c_12114,plain,
    ( ( select(a_1084,i16) = e_1130 )
    | ( i17 = i16 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_12107,c_1586]) ).

tff(c_12120,plain,
    ( ( e_1130 = e16 )
    | ( i17 = i16 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1387,c_12114]) ).

tff(c_12122,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_340,c_11798,c_12120]) ).

tff(c_12123,plain,
    select(a_1121,i_1129) = e_1131,
    inference(splitRight,[status(thm)],[c_11723]) ).

tff(c_12132,plain,
    ( ( select(a_1120,i_1129) = e_1131 )
    | ( i_1129 = i12 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1619,c_12123]) ).

tff(c_12154,plain,
    i_1129 = i12,
    inference(splitLeft,[status(thm)],[c_12132]) ).

tff(c_12155,plain,
    select(a_1121,i12) = e_1131,
    inference(demodulation,[status(thm),theory(equality)],[c_12154,c_12123]) ).

tff(c_12191,plain,
    e_1131 = e12,
    inference(demodulation,[status(thm),theory(equality)],[c_1402,c_12155]) ).

tff(c_12196,plain,
    e_1130 != e12,
    inference(demodulation,[status(thm),theory(equality)],[c_12191,c_1002]) ).

tff(c_1297,plain,
    select(a_1080,i12) = e12,
    inference(superposition,[status(thm),theory(equality)],[c_28,c_1255]) ).

tff(c_470,plain,
    i14 != i12,
    inference(cnfTransformation,[status(thm)],[f_433]) ).

tff(c_468,plain,
    i15 != i12,
    inference(cnfTransformation,[status(thm)],[f_431]) ).

tff(c_466,plain,
    i16 != i12,
    inference(cnfTransformation,[status(thm)],[f_429]) ).

tff(c_464,plain,
    i17 != i12,
    inference(cnfTransformation,[status(thm)],[f_427]) ).

tff(c_462,plain,
    i18 != i12,
    inference(cnfTransformation,[status(thm)],[f_425]) ).

tff(c_460,plain,
    i19 != i12,
    inference(cnfTransformation,[status(thm)],[f_423]) ).

tff(c_12160,plain,
    select(a_1088,i12) = e_1130,
    inference(demodulation,[status(thm),theory(equality)],[c_12154,c_11136]) ).

tff(c_12469,plain,
    ( ( select(a_1087,i12) = e_1130 )
    | ( i20 = i12 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_12160,c_1580]) ).

tff(c_12475,plain,
    select(a_1087,i12) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_458,c_12469]) ).

tff(c_12483,plain,
    ( ( select(a_1086,i12) = e_1130 )
    | ( i19 = i12 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_12475,c_1508]) ).

tff(c_12489,plain,
    select(a_1086,i12) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_460,c_12483]) ).

tff(c_12497,plain,
    ( ( select(a_1085,i12) = e_1130 )
    | ( i18 = i12 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_12489,c_1610]) ).

tff(c_12503,plain,
    select(a_1085,i12) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_462,c_12497]) ).

tff(c_12516,plain,
    ( ( select(a_1084,i12) = e_1130 )
    | ( i17 = i12 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1586,c_12503]) ).

tff(c_12520,plain,
    select(a_1084,i12) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_464,c_12516]) ).

tff(c_12529,plain,
    ( ( select(a_1083,i12) = e_1130 )
    | ( i16 = i12 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1604,c_12520]) ).

tff(c_12533,plain,
    select(a_1083,i12) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_466,c_12529]) ).

tff(c_12542,plain,
    ( ( select(a_1082,i12) = e_1130 )
    | ( i15 = i12 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1655,c_12533]) ).

tff(c_12546,plain,
    select(a_1082,i12) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_468,c_12542]) ).

tff(c_12555,plain,
    ( ( select(a_1081,i12) = e_1130 )
    | ( i14 = i12 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1607,c_12546]) ).

tff(c_12559,plain,
    select(a_1081,i12) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_470,c_12555]) ).

tff(c_12566,plain,
    ( ( select(a_1080,i12) = e_1130 )
    | ( i13 = i12 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_12559,c_1658]) ).

tff(c_12572,plain,
    ( ( e_1130 = e12 )
    | ( i13 = i12 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1297,c_12566]) ).

tff(c_12574,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_472,c_12196,c_12572]) ).

tff(c_12575,plain,
    select(a_1120,i_1129) = e_1131,
    inference(splitRight,[status(thm)],[c_12132]) ).

tff(c_12580,plain,
    ( ( select(a_1119,i_1129) = e_1131 )
    | ( i_1129 = i3 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_12575,c_1550]) ).

tff(c_12606,plain,
    i_1129 = i3,
    inference(splitLeft,[status(thm)],[c_12580]) ).

tff(c_12607,plain,
    select(a_1120,i3) = e_1131,
    inference(demodulation,[status(thm),theory(equality)],[c_12606,c_12575]) ).

tff(c_12645,plain,
    e_1131 = e3,
    inference(demodulation,[status(thm),theory(equality)],[c_1333,c_12607]) ).

tff(c_12650,plain,
    e_1130 != e3,
    inference(demodulation,[status(thm),theory(equality)],[c_12645,c_1002]) ).

tff(c_10,plain,
    store(a_1070,i3,e3) = a_1071,
    inference(cnfTransformation,[status(thm)],[f_33]) ).

tff(c_1339,plain,
    select(a_1071,i3) = e3,
    inference(superposition,[status(thm),theory(equality)],[c_10,c_1255]) ).

tff(c_884,plain,
    i5 != i3,
    inference(cnfTransformation,[status(thm)],[f_847]) ).

tff(c_14,plain,
    store(a_1072,i5,e5) = a_1073,
    inference(cnfTransformation,[status(thm)],[f_35]) ).

tff(c_1589,plain,
    ! [J_14] :
      ( ( select(a_1073,J_14) = select(a_1072,J_14) )
      | ( i5 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_14,c_1465]) ).

tff(c_882,plain,
    i6 != i3,
    inference(cnfTransformation,[status(thm)],[f_845]) ).

tff(c_16,plain,
    store(a_1073,i6,e6) = a_1074,
    inference(cnfTransformation,[status(thm)],[f_36]) ).

tff(c_1568,plain,
    ! [J_14] :
      ( ( select(a_1074,J_14) = select(a_1073,J_14) )
      | ( i6 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_16,c_1465]) ).

tff(c_880,plain,
    i7 != i3,
    inference(cnfTransformation,[status(thm)],[f_843]) ).

tff(c_1559,plain,
    ! [J_14] :
      ( ( select(a_1075,J_14) = select(a_1074,J_14) )
      | ( i7 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_18,c_1465]) ).

tff(c_878,plain,
    i8 != i3,
    inference(cnfTransformation,[status(thm)],[f_841]) ).

tff(c_1652,plain,
    ! [J_14] :
      ( ( select(a_1076,J_14) = select(a_1075,J_14) )
      | ( i8 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_20,c_1465]) ).

tff(c_876,plain,
    i9 != i3,
    inference(cnfTransformation,[status(thm)],[f_839]) ).

tff(c_874,plain,
    i3 != i10,
    inference(cnfTransformation,[status(thm)],[f_837]) ).

tff(c_872,plain,
    i3 != i11,
    inference(cnfTransformation,[status(thm)],[f_835]) ).

tff(c_870,plain,
    i3 != i12,
    inference(cnfTransformation,[status(thm)],[f_833]) ).

tff(c_868,plain,
    i3 != i13,
    inference(cnfTransformation,[status(thm)],[f_831]) ).

tff(c_866,plain,
    i3 != i14,
    inference(cnfTransformation,[status(thm)],[f_829]) ).

tff(c_864,plain,
    i3 != i15,
    inference(cnfTransformation,[status(thm)],[f_827]) ).

tff(c_862,plain,
    i3 != i16,
    inference(cnfTransformation,[status(thm)],[f_825]) ).

tff(c_860,plain,
    i3 != i17,
    inference(cnfTransformation,[status(thm)],[f_823]) ).

tff(c_858,plain,
    i3 != i18,
    inference(cnfTransformation,[status(thm)],[f_821]) ).

tff(c_856,plain,
    i3 != i19,
    inference(cnfTransformation,[status(thm)],[f_819]) ).

tff(c_12614,plain,
    select(a_1088,i3) = e_1130,
    inference(demodulation,[status(thm),theory(equality)],[c_12606,c_11136]) ).

tff(c_12910,plain,
    ( ( select(a_1087,i3) = e_1130 )
    | ( i3 = i20 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1580,c_12614]) ).

tff(c_12914,plain,
    select(a_1087,i3) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_854,c_12910]) ).

tff(c_12938,plain,
    ( ( select(a_1086,i3) = e_1130 )
    | ( i3 = i19 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1508,c_12914]) ).

tff(c_12942,plain,
    select(a_1086,i3) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_856,c_12938]) ).

tff(c_12948,plain,
    ( ( select(a_1085,i3) = e_1130 )
    | ( i3 = i18 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_12942,c_1610]) ).

tff(c_12954,plain,
    select(a_1085,i3) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_858,c_12948]) ).

tff(c_12961,plain,
    ( ( select(a_1084,i3) = e_1130 )
    | ( i3 = i17 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_12954,c_1586]) ).

tff(c_12967,plain,
    select(a_1084,i3) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_860,c_12961]) ).

tff(c_12974,plain,
    ( ( select(a_1083,i3) = e_1130 )
    | ( i3 = i16 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_12967,c_1604]) ).

tff(c_12980,plain,
    select(a_1083,i3) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_862,c_12974]) ).

tff(c_12991,plain,
    ( ( select(a_1082,i3) = e_1130 )
    | ( i3 = i15 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1655,c_12980]) ).

tff(c_12995,plain,
    select(a_1082,i3) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_864,c_12991]) ).

tff(c_13006,plain,
    ( ( select(a_1081,i3) = e_1130 )
    | ( i3 = i14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1607,c_12995]) ).

tff(c_13010,plain,
    select(a_1081,i3) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_866,c_13006]) ).

tff(c_13019,plain,
    ( ( select(a_1080,i3) = e_1130 )
    | ( i3 = i13 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1658,c_13010]) ).

tff(c_13023,plain,
    select(a_1080,i3) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_868,c_13019]) ).

tff(c_13032,plain,
    ( ( select(a_1079,i3) = e_1130 )
    | ( i3 = i12 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1514,c_13023]) ).

tff(c_13036,plain,
    select(a_1079,i3) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_870,c_13032]) ).

tff(c_13045,plain,
    ( ( select(a_1078,i3) = e_1130 )
    | ( i3 = i11 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1520,c_13036]) ).

tff(c_13049,plain,
    select(a_1078,i3) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_872,c_13045]) ).

tff(c_13058,plain,
    ( ( select(a_1077,i3) = e_1130 )
    | ( i3 = i10 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1646,c_13049]) ).

tff(c_13062,plain,
    select(a_1077,i3) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_874,c_13058]) ).

tff(c_13073,plain,
    ( ( select(a_1076,i3) = e_1130 )
    | ( i9 = i3 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1541,c_13062]) ).

tff(c_13077,plain,
    select(a_1076,i3) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_876,c_13073]) ).

tff(c_13086,plain,
    ( ( select(a_1075,i3) = e_1130 )
    | ( i8 = i3 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1652,c_13077]) ).

tff(c_13090,plain,
    select(a_1075,i3) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_878,c_13086]) ).

tff(c_13099,plain,
    ( ( select(a_1074,i3) = e_1130 )
    | ( i7 = i3 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1559,c_13090]) ).

tff(c_13103,plain,
    select(a_1074,i3) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_880,c_13099]) ).

tff(c_13112,plain,
    ( ( select(a_1073,i3) = e_1130 )
    | ( i6 = i3 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1568,c_13103]) ).

tff(c_13116,plain,
    select(a_1073,i3) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_882,c_13112]) ).

tff(c_13127,plain,
    ( ( select(a_1072,i3) = e_1130 )
    | ( i5 = i3 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1589,c_13116]) ).

tff(c_13131,plain,
    select(a_1072,i3) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_884,c_13127]) ).

tff(c_12,plain,
    store(a_1071,i4,e4) = a_1072,
    inference(cnfTransformation,[status(thm)],[f_34]) ).

tff(c_1565,plain,
    ! [J_14] :
      ( ( select(a_1072,J_14) = select(a_1071,J_14) )
      | ( i4 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_12,c_1465]) ).

tff(c_13136,plain,
    ( ( select(a_1071,i3) = e_1130 )
    | ( i4 = i3 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_13131,c_1565]) ).

tff(c_13142,plain,
    ( ( e_1130 = e3 )
    | ( i4 = i3 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1339,c_13136]) ).

tff(c_13144,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_886,c_12650,c_13142]) ).

tff(c_13145,plain,
    select(a_1119,i_1129) = e_1131,
    inference(splitRight,[status(thm)],[c_12580]) ).

tff(c_13158,plain,
    ( ( select(a_1118,i_1129) = e_1131 )
    | ( i_1129 = i27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1649,c_13145]) ).

tff(c_13162,plain,
    select(a_1118,i_1129) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_7421,c_13158]) ).

tff(c_13167,plain,
    ( ( select(a_1117,i_1129) = e_1131 )
    | ( i_1129 = i22 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_13162,c_1493]) ).

tff(c_13173,plain,
    select(a_1117,i_1129) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_10617,c_13167]) ).

tff(c_13180,plain,
    ( ( select(a_1116,i_1129) = e_1131 )
    | ( i_1129 = i26 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_13173,c_1544]) ).

tff(c_13186,plain,
    select(a_1116,i_1129) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_7975,c_13180]) ).

tff(c_13204,plain,
    select(a_1116,i19) = e_1131,
    inference(demodulation,[status(thm),theory(equality)],[c_13203,c_13186]) ).

tff(c_13497,plain,
    ( ( select(a_1115,i19) = e_1131 )
    | ( i5 = i19 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1484,c_13204]) ).

tff(c_13501,plain,
    select(a_1115,i19) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_754,c_13497]) ).

tff(c_13602,plain,
    ( ( select(a_1114,i19) = e_1131 )
    | ( i29 = i19 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_13501,c_1553]) ).

tff(c_13608,plain,
    select(a_1114,i19) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_244,c_13602]) ).

tff(c_13622,plain,
    ( ( select(a_1113,i19) = e_1131 )
    | ( i19 = i14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_13608,c_1643]) ).

tff(c_13628,plain,
    select(a_1113,i19) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_394,c_13622]) ).

tff(c_13638,plain,
    ( ( select(a_1112,i19) = e_1131 )
    | ( i19 = i11 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_13628,c_1481]) ).

tff(c_13644,plain,
    select(a_1112,i19) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_496,c_13638]) ).

tff(c_13655,plain,
    ( ( select(a_1111,i19) = e_1131 )
    | ( i6 = i19 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1574,c_13644]) ).

tff(c_13659,plain,
    select(a_1111,i19) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_706,c_13655]) ).

tff(c_13668,plain,
    ( ( select(a_1110,i19) = e_1131 )
    | ( i21 = i19 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1583,c_13659]) ).

tff(c_13672,plain,
    select(a_1110,i19) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_260,c_13668]) ).

tff(c_13681,plain,
    ( ( select(a_1109,i19) = e_1131 )
    | ( i8 = i19 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1487,c_13672]) ).

tff(c_13685,plain,
    select(a_1109,i19) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_616,c_13681]) ).

tff(c_13696,plain,
    ( ( select(a_1108,i19) = e_1131 )
    | ( i20 = i19 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1517,c_13685]) ).

tff(c_13700,plain,
    select(a_1108,i19) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_262,c_13696]) ).

tff(c_13709,plain,
    ( ( select(a_1107,i19) = e_1131 )
    | ( i19 = i18 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1598,c_13700]) ).

tff(c_13713,plain,
    select(a_1107,i19) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_286,c_13709]) ).

tff(c_13722,plain,
    ( ( select(a_1106,i19) = e_1131 )
    | ( i25 = i19 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1577,c_13713]) ).

tff(c_13726,plain,
    select(a_1106,i19) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_252,c_13722]) ).

tff(c_13735,plain,
    ( ( select(a_1105,i19) = e_1131 )
    | ( i19 = i15 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1490,c_13726]) ).

tff(c_13739,plain,
    select(a_1105,i19) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_364,c_13735]) ).

tff(c_13748,plain,
    ( ( select(a_1104,i19) = e_1131 )
    | ( i2 = i19 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1526,c_13739]) ).

tff(c_13752,plain,
    select(a_1104,i19) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_910,c_13748]) ).

tff(c_13761,plain,
    ( ( select(a_1103,i19) = e_1131 )
    | ( i30 = i19 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1637,c_13752]) ).

tff(c_13765,plain,
    select(a_1103,i19) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_242,c_13761]) ).

tff(c_13774,plain,
    ( ( select(a_1102,i19) = e_1131 )
    | ( i9 = i19 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1592,c_13765]) ).

tff(c_13778,plain,
    select(a_1102,i19) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_574,c_13774]) ).

tff(c_72,plain,
    store(a_1101,i4,e4) = a_1102,
    inference(cnfTransformation,[status(thm)],[f_64]) ).

tff(c_1511,plain,
    ! [J_14] :
      ( ( select(a_1102,J_14) = select(a_1101,J_14) )
      | ( i4 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_72,c_1465]) ).

tff(c_13783,plain,
    ( ( select(a_1101,i19) = e_1131 )
    | ( i4 = i19 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_13778,c_1511]) ).

tff(c_13789,plain,
    ( ( e_1131 = e19 )
    | ( i4 = i19 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1417,c_13783]) ).

tff(c_13791,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_804,c_13252,c_13789]) ).

tff(c_13793,plain,
    i_1129 != i19,
    inference(splitRight,[status(thm)],[c_11755]) ).

tff(c_1348,plain,
    select(a_1072,i4) = e4,
    inference(superposition,[status(thm),theory(equality)],[c_12,c_1255]) ).

tff(c_552,plain,
    i9 != i30,
    inference(cnfTransformation,[status(thm)],[f_515]) ).

tff(c_1324,plain,
    select(a_1077,i9) = e9,
    inference(superposition,[status(thm),theory(equality)],[c_22,c_1255]) ).

tff(c_5436,plain,
    i_1129 != i10,
    inference(splitRight,[status(thm)],[c_4526]) ).

tff(c_510,plain,
    i12 != i11,
    inference(cnfTransformation,[status(thm)],[f_473]) ).

tff(c_1264,plain,
    select(a_1113,i11) = e11,
    inference(superposition,[status(thm),theory(equality)],[c_94,c_1255]) ).

tff(c_402,plain,
    i15 != i14,
    inference(cnfTransformation,[status(thm)],[f_365]) ).

tff(c_1426,plain,
    select(a_1114,i14) = e14,
    inference(superposition,[status(thm),theory(equality)],[c_96,c_1255]) ).

tff(c_4391,plain,
    i_1129 != i29,
    inference(splitRight,[status(thm)],[c_3405]) ).

tff(c_780,plain,
    i6 != i5,
    inference(cnfTransformation,[status(thm)],[f_743]) ).

tff(c_1267,plain,
    select(a_1116,i5) = e5,
    inference(superposition,[status(thm),theory(equality)],[c_100,c_1255]) ).

tff(c_13199,plain,
    ( ( select(a_1115,i_1129) = e_1131 )
    | ( i_1129 = i5 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1484,c_13186]) ).

tff(c_14349,plain,
    i_1129 = i5,
    inference(splitLeft,[status(thm)],[c_13199]) ).

tff(c_14355,plain,
    select(a_1116,i5) = e_1131,
    inference(demodulation,[status(thm),theory(equality)],[c_14349,c_13186]) ).

tff(c_14398,plain,
    e_1131 = e5,
    inference(demodulation,[status(thm),theory(equality)],[c_1267,c_14355]) ).

tff(c_14403,plain,
    e_1130 != e5,
    inference(demodulation,[status(thm),theory(equality)],[c_14398,c_1002]) ).

tff(c_1372,plain,
    select(a_1073,i5) = e5,
    inference(superposition,[status(thm),theory(equality)],[c_14,c_1255]) ).

tff(c_778,plain,
    i7 != i5,
    inference(cnfTransformation,[status(thm)],[f_741]) ).

tff(c_776,plain,
    i8 != i5,
    inference(cnfTransformation,[status(thm)],[f_739]) ).

tff(c_774,plain,
    i9 != i5,
    inference(cnfTransformation,[status(thm)],[f_737]) ).

tff(c_772,plain,
    i5 != i10,
    inference(cnfTransformation,[status(thm)],[f_735]) ).

tff(c_770,plain,
    i5 != i11,
    inference(cnfTransformation,[status(thm)],[f_733]) ).

tff(c_768,plain,
    i5 != i12,
    inference(cnfTransformation,[status(thm)],[f_731]) ).

tff(c_766,plain,
    i5 != i13,
    inference(cnfTransformation,[status(thm)],[f_729]) ).

tff(c_764,plain,
    i5 != i14,
    inference(cnfTransformation,[status(thm)],[f_727]) ).

tff(c_762,plain,
    i5 != i15,
    inference(cnfTransformation,[status(thm)],[f_725]) ).

tff(c_12124,plain,
    i_1129 != i16,
    inference(splitRight,[status(thm)],[c_11723]) ).

tff(c_9504,plain,
    i_1129 != i17,
    inference(splitRight,[status(thm)],[c_8957]) ).

tff(c_284,plain,
    i20 != i18,
    inference(cnfTransformation,[status(thm)],[f_247]) ).

tff(c_1393,plain,
    select(a_1086,i18) = e18,
    inference(superposition,[status(thm),theory(equality)],[c_40,c_1255]) ).

tff(c_13792,plain,
    select(a_1086,i_1129) = e_1130,
    inference(splitRight,[status(thm)],[c_11755]) ).

tff(c_13801,plain,
    ( ( select(a_1085,i_1129) = e_1130 )
    | ( i_1129 = i18 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1610,c_13792]) ).

tff(c_13806,plain,
    i_1129 = i18,
    inference(splitLeft,[status(thm)],[c_13801]) ).

tff(c_13807,plain,
    select(a_1086,i18) = e_1130,
    inference(demodulation,[status(thm),theory(equality)],[c_13806,c_13792]) ).

tff(c_13852,plain,
    e_1130 = e18,
    inference(demodulation,[status(thm),theory(equality)],[c_1393,c_13807]) ).

tff(c_13857,plain,
    e_1131 != e18,
    inference(demodulation,[status(thm),theory(equality)],[c_13852,c_1002]) ).

tff(c_1381,plain,
    select(a_1108,i18) = e18,
    inference(superposition,[status(thm),theory(equality)],[c_84,c_1255]) ).

tff(c_618,plain,
    i8 != i18,
    inference(cnfTransformation,[status(thm)],[f_581]) ).

tff(c_282,plain,
    i21 != i18,
    inference(cnfTransformation,[status(thm)],[f_245]) ).

tff(c_708,plain,
    i6 != i18,
    inference(cnfTransformation,[status(thm)],[f_671]) ).

tff(c_498,plain,
    i18 != i11,
    inference(cnfTransformation,[status(thm)],[f_461]) ).

tff(c_396,plain,
    i18 != i14,
    inference(cnfTransformation,[status(thm)],[f_359]) ).

tff(c_266,plain,
    i29 != i18,
    inference(cnfTransformation,[status(thm)],[f_229]) ).

tff(c_756,plain,
    i5 != i18,
    inference(cnfTransformation,[status(thm)],[f_719]) ).

tff(c_14212,plain,
    ( ( select(a_1115,i18) = e_1131 )
    | ( i5 = i18 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_13806,c_13806,c_13199]) ).

tff(c_14213,plain,
    select(a_1115,i18) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_756,c_14212]) ).

tff(c_14221,plain,
    ( ( select(a_1114,i18) = e_1131 )
    | ( i29 = i18 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1553,c_14213]) ).

tff(c_14225,plain,
    select(a_1114,i18) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_266,c_14221]) ).

tff(c_14234,plain,
    ( ( select(a_1113,i18) = e_1131 )
    | ( i18 = i14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1643,c_14225]) ).

tff(c_14238,plain,
    select(a_1113,i18) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_396,c_14234]) ).

tff(c_14265,plain,
    ( ( select(a_1112,i18) = e_1131 )
    | ( i18 = i11 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1481,c_14238]) ).

tff(c_14269,plain,
    select(a_1112,i18) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_498,c_14265]) ).

tff(c_14274,plain,
    ( ( select(a_1111,i18) = e_1131 )
    | ( i6 = i18 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_14269,c_1574]) ).

tff(c_14280,plain,
    select(a_1111,i18) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_708,c_14274]) ).

tff(c_14291,plain,
    ( ( select(a_1110,i18) = e_1131 )
    | ( i21 = i18 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1583,c_14280]) ).

tff(c_14295,plain,
    select(a_1110,i18) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_282,c_14291]) ).

tff(c_14304,plain,
    ( ( select(a_1109,i18) = e_1131 )
    | ( i8 = i18 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1487,c_14295]) ).

tff(c_14308,plain,
    select(a_1109,i18) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_618,c_14304]) ).

tff(c_14313,plain,
    ( ( select(a_1108,i18) = e_1131 )
    | ( i20 = i18 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_14308,c_1517]) ).

tff(c_14319,plain,
    ( ( e_1131 = e18 )
    | ( i20 = i18 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1381,c_14313]) ).

tff(c_14321,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_284,c_13857,c_14319]) ).

tff(c_14322,plain,
    select(a_1085,i_1129) = e_1130,
    inference(splitRight,[status(thm)],[c_13801]) ).

tff(c_14327,plain,
    ( ( select(a_1084,i_1129) = e_1130 )
    | ( i_1129 = i17 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_14322,c_1586]) ).

tff(c_14333,plain,
    select(a_1084,i_1129) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_9504,c_14327]) ).

tff(c_14339,plain,
    ( ( select(a_1083,i_1129) = e_1130 )
    | ( i_1129 = i16 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_14333,c_1604]) ).

tff(c_14345,plain,
    select(a_1083,i_1129) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_12124,c_14339]) ).

tff(c_14799,plain,
    select(a_1083,i5) = e_1130,
    inference(demodulation,[status(thm),theory(equality)],[c_14349,c_14345]) ).

tff(c_14803,plain,
    ( ( select(a_1082,i5) = e_1130 )
    | ( i5 = i15 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_14799,c_1655]) ).

tff(c_14809,plain,
    select(a_1082,i5) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_762,c_14803]) ).

tff(c_14824,plain,
    ( ( select(a_1081,i5) = e_1130 )
    | ( i5 = i14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1607,c_14809]) ).

tff(c_14828,plain,
    select(a_1081,i5) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_764,c_14824]) ).

tff(c_14837,plain,
    ( ( select(a_1080,i5) = e_1130 )
    | ( i5 = i13 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1658,c_14828]) ).

tff(c_14841,plain,
    select(a_1080,i5) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_766,c_14837]) ).

tff(c_14850,plain,
    ( ( select(a_1079,i5) = e_1130 )
    | ( i5 = i12 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1514,c_14841]) ).

tff(c_14854,plain,
    select(a_1079,i5) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_768,c_14850]) ).

tff(c_14863,plain,
    ( ( select(a_1078,i5) = e_1130 )
    | ( i5 = i11 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1520,c_14854]) ).

tff(c_14867,plain,
    select(a_1078,i5) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_770,c_14863]) ).

tff(c_14876,plain,
    ( ( select(a_1077,i5) = e_1130 )
    | ( i5 = i10 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1646,c_14867]) ).

tff(c_14880,plain,
    select(a_1077,i5) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_772,c_14876]) ).

tff(c_14889,plain,
    ( ( select(a_1076,i5) = e_1130 )
    | ( i9 = i5 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1541,c_14880]) ).

tff(c_14893,plain,
    select(a_1076,i5) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_774,c_14889]) ).

tff(c_14902,plain,
    ( ( select(a_1075,i5) = e_1130 )
    | ( i8 = i5 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1652,c_14893]) ).

tff(c_14906,plain,
    select(a_1075,i5) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_776,c_14902]) ).

tff(c_14915,plain,
    ( ( select(a_1074,i5) = e_1130 )
    | ( i7 = i5 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1559,c_14906]) ).

tff(c_14919,plain,
    select(a_1074,i5) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_778,c_14915]) ).

tff(c_14924,plain,
    ( ( select(a_1073,i5) = e_1130 )
    | ( i6 = i5 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_14919,c_1568]) ).

tff(c_14930,plain,
    ( ( e_1130 = e5 )
    | ( i6 = i5 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1372,c_14924]) ).

tff(c_14932,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_780,c_14403,c_14930]) ).

tff(c_14933,plain,
    select(a_1115,i_1129) = e_1131,
    inference(splitRight,[status(thm)],[c_13199]) ).

tff(c_14938,plain,
    ( ( select(a_1114,i_1129) = e_1131 )
    | ( i_1129 = i29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_14933,c_1553]) ).

tff(c_14944,plain,
    select(a_1114,i_1129) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_4391,c_14938]) ).

tff(c_14954,plain,
    ( ( select(a_1113,i_1129) = e_1131 )
    | ( i_1129 = i14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1643,c_14944]) ).

tff(c_14973,plain,
    i_1129 = i14,
    inference(splitLeft,[status(thm)],[c_14954]) ).

tff(c_14975,plain,
    select(a_1114,i14) = e_1131,
    inference(demodulation,[status(thm),theory(equality)],[c_14973,c_14944]) ).

tff(c_15026,plain,
    e_1131 = e14,
    inference(demodulation,[status(thm),theory(equality)],[c_1426,c_14975]) ).

tff(c_15031,plain,
    e_1130 != e14,
    inference(demodulation,[status(thm),theory(equality)],[c_15026,c_1002]) ).

tff(c_1390,plain,
    select(a_1082,i14) = e14,
    inference(superposition,[status(thm),theory(equality)],[c_32,c_1255]) ).

tff(c_14343,plain,
    ( ( select(a_1083,i_1129) = e_1130 )
    | ( i_1129 = i16 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1604,c_14333]) ).

tff(c_14347,plain,
    select(a_1083,i_1129) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_12124,c_14343]) ).

tff(c_14974,plain,
    select(a_1083,i14) = e_1130,
    inference(demodulation,[status(thm),theory(equality)],[c_14973,c_14347]) ).

tff(c_15244,plain,
    ( ( select(a_1082,i14) = e_1130 )
    | ( i15 = i14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_14974,c_1655]) ).

tff(c_15250,plain,
    ( ( e_1130 = e14 )
    | ( i15 = i14 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1390,c_15244]) ).

tff(c_15252,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_402,c_15031,c_15250]) ).

tff(c_15253,plain,
    select(a_1113,i_1129) = e_1131,
    inference(splitRight,[status(thm)],[c_14954]) ).

tff(c_15262,plain,
    ( ( select(a_1112,i_1129) = e_1131 )
    | ( i_1129 = i11 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1481,c_15253]) ).

tff(c_15892,plain,
    i_1129 = i11,
    inference(splitLeft,[status(thm)],[c_15262]) ).

tff(c_15896,plain,
    select(a_1113,i11) = e_1131,
    inference(demodulation,[status(thm),theory(equality)],[c_15892,c_15253]) ).

tff(c_15950,plain,
    e_1131 = e11,
    inference(demodulation,[status(thm),theory(equality)],[c_1264,c_15896]) ).

tff(c_15955,plain,
    e_1130 != e11,
    inference(demodulation,[status(thm),theory(equality)],[c_15950,c_1002]) ).

tff(c_1303,plain,
    select(a_1079,i11) = e11,
    inference(superposition,[status(thm),theory(equality)],[c_26,c_1255]) ).

tff(c_508,plain,
    i13 != i11,
    inference(cnfTransformation,[status(thm)],[f_471]) ).

tff(c_506,plain,
    i14 != i11,
    inference(cnfTransformation,[status(thm)],[f_469]) ).

tff(c_352,plain,
    i25 != i15,
    inference(cnfTransformation,[status(thm)],[f_315]) ).

tff(c_1438,plain,
    select(a_1083,i15) = e15,
    inference(superposition,[status(thm),theory(equality)],[c_34,c_1255]) ).

tff(c_14961,plain,
    ( ( select(a_1082,i_1129) = e_1130 )
    | ( i_1129 = i15 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_14347,c_1655]) ).

tff(c_15267,plain,
    i_1129 = i15,
    inference(splitLeft,[status(thm)],[c_14961]) ).

tff(c_15270,plain,
    select(a_1083,i15) = e_1130,
    inference(demodulation,[status(thm),theory(equality)],[c_15267,c_14347]) ).

tff(c_15322,plain,
    e_1130 = e15,
    inference(demodulation,[status(thm),theory(equality)],[c_1438,c_15270]) ).

tff(c_15327,plain,
    e_1131 != e15,
    inference(demodulation,[status(thm),theory(equality)],[c_15322,c_1002]) ).

tff(c_1273,plain,
    select(a_1106,i15) = e15,
    inference(superposition,[status(thm),theory(equality)],[c_80,c_1255]) ).

tff(c_366,plain,
    i18 != i15,
    inference(cnfTransformation,[status(thm)],[f_329]) ).

tff(c_362,plain,
    i20 != i15,
    inference(cnfTransformation,[status(thm)],[f_325]) ).

tff(c_624,plain,
    i8 != i15,
    inference(cnfTransformation,[status(thm)],[f_587]) ).

tff(c_360,plain,
    i21 != i15,
    inference(cnfTransformation,[status(thm)],[f_323]) ).

tff(c_714,plain,
    i6 != i15,
    inference(cnfTransformation,[status(thm)],[f_677]) ).

tff(c_504,plain,
    i15 != i11,
    inference(cnfTransformation,[status(thm)],[f_467]) ).

tff(c_15765,plain,
    ( ( select(a_1112,i15) = e_1131 )
    | ( i15 = i11 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_15267,c_15267,c_15262]) ).

tff(c_15766,plain,
    select(a_1112,i15) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_504,c_15765]) ).

tff(c_15774,plain,
    ( ( select(a_1111,i15) = e_1131 )
    | ( i6 = i15 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1574,c_15766]) ).

tff(c_15778,plain,
    select(a_1111,i15) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_714,c_15774]) ).

tff(c_15787,plain,
    ( ( select(a_1110,i15) = e_1131 )
    | ( i21 = i15 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1583,c_15778]) ).

tff(c_15791,plain,
    select(a_1110,i15) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_360,c_15787]) ).

tff(c_15821,plain,
    ( ( select(a_1109,i15) = e_1131 )
    | ( i8 = i15 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1487,c_15791]) ).

tff(c_15825,plain,
    select(a_1109,i15) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_624,c_15821]) ).

tff(c_15834,plain,
    ( ( select(a_1108,i15) = e_1131 )
    | ( i20 = i15 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1517,c_15825]) ).

tff(c_15838,plain,
    select(a_1108,i15) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_362,c_15834]) ).

tff(c_15847,plain,
    ( ( select(a_1107,i15) = e_1131 )
    | ( i18 = i15 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1598,c_15838]) ).

tff(c_15851,plain,
    select(a_1107,i15) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_366,c_15847]) ).

tff(c_15856,plain,
    ( ( select(a_1106,i15) = e_1131 )
    | ( i25 = i15 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_15851,c_1577]) ).

tff(c_15862,plain,
    ( ( e_1131 = e15 )
    | ( i25 = i15 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1273,c_15856]) ).

tff(c_15864,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_352,c_15327,c_15862]) ).

tff(c_15865,plain,
    select(a_1082,i_1129) = e_1130,
    inference(splitRight,[status(thm)],[c_14961]) ).

tff(c_15894,plain,
    select(a_1082,i11) = e_1130,
    inference(demodulation,[status(thm),theory(equality)],[c_15892,c_15865]) ).

tff(c_16113,plain,
    ( ( select(a_1081,i11) = e_1130 )
    | ( i14 = i11 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_15894,c_1607]) ).

tff(c_16119,plain,
    select(a_1081,i11) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_506,c_16113]) ).

tff(c_16426,plain,
    ( ( select(a_1080,i11) = e_1130 )
    | ( i13 = i11 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1658,c_16119]) ).

tff(c_16430,plain,
    select(a_1080,i11) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_508,c_16426]) ).

tff(c_16442,plain,
    ( ( select(a_1079,i11) = e_1130 )
    | ( i12 = i11 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_16430,c_1514]) ).

tff(c_16448,plain,
    ( ( e_1130 = e11 )
    | ( i12 = i11 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1303,c_16442]) ).

tff(c_16450,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_510,c_15955,c_16448]) ).

tff(c_16452,plain,
    i_1129 != i11,
    inference(splitRight,[status(thm)],[c_15262]) ).

tff(c_12576,plain,
    i_1129 != i12,
    inference(splitRight,[status(thm)],[c_12132]) ).

tff(c_978,plain,
    i13 != i1,
    inference(cnfTransformation,[status(thm)],[f_941]) ).

tff(c_1441,plain,
    select(a_1081,i13) = e13,
    inference(superposition,[status(thm),theory(equality)],[c_30,c_1255]) ).

tff(c_15254,plain,
    i_1129 != i14,
    inference(splitRight,[status(thm)],[c_14954]) ).

tff(c_15870,plain,
    ( ( select(a_1081,i_1129) = e_1130 )
    | ( i_1129 = i14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_15865,c_1607]) ).

tff(c_15876,plain,
    select(a_1081,i_1129) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_15254,c_15870]) ).

tff(c_15882,plain,
    ( ( select(a_1080,i_1129) = e_1130 )
    | ( i_1129 = i13 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_15876,c_1658]) ).

tff(c_17136,plain,
    i_1129 = i13,
    inference(splitLeft,[status(thm)],[c_15882]) ).

tff(c_17142,plain,
    select(a_1081,i13) = e_1130,
    inference(demodulation,[status(thm),theory(equality)],[c_17136,c_15876]) ).

tff(c_17199,plain,
    e_1130 = e13,
    inference(demodulation,[status(thm),theory(equality)],[c_1441,c_17142]) ).

tff(c_17204,plain,
    e_1131 != e13,
    inference(demodulation,[status(thm),theory(equality)],[c_17199,c_1002]) ).

tff(c_66,plain,
    store(a1,i13,e13) = a_1099,
    inference(cnfTransformation,[status(thm)],[f_61]) ).

tff(c_1312,plain,
    select(a_1099,i13) = e13,
    inference(superposition,[status(thm),theory(equality)],[c_66,c_1255]) ).

tff(c_426,plain,
    i19 != i13,
    inference(cnfTransformation,[status(thm)],[f_389]) ).

tff(c_1634,plain,
    ! [J_14] :
      ( ( select(a_1101,J_14) = select(a_1100,J_14) )
      | ( i19 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_70,c_1465]) ).

tff(c_816,plain,
    i4 != i13,
    inference(cnfTransformation,[status(thm)],[f_779]) ).

tff(c_586,plain,
    i9 != i13,
    inference(cnfTransformation,[status(thm)],[f_549]) ).

tff(c_404,plain,
    i30 != i13,
    inference(cnfTransformation,[status(thm)],[f_367]) ).

tff(c_922,plain,
    i2 != i13,
    inference(cnfTransformation,[status(thm)],[f_885]) ).

tff(c_434,plain,
    i15 != i13,
    inference(cnfTransformation,[status(thm)],[f_397]) ).

tff(c_414,plain,
    i25 != i13,
    inference(cnfTransformation,[status(thm)],[f_377]) ).

tff(c_428,plain,
    i18 != i13,
    inference(cnfTransformation,[status(thm)],[f_391]) ).

tff(c_424,plain,
    i20 != i13,
    inference(cnfTransformation,[status(thm)],[f_387]) ).

tff(c_628,plain,
    i8 != i13,
    inference(cnfTransformation,[status(thm)],[f_591]) ).

tff(c_11137,plain,
    i_1129 != i21,
    inference(splitRight,[status(thm)],[c_10642]) ).

tff(c_730,plain,
    i7 != i6,
    inference(cnfTransformation,[status(thm)],[f_693]) ).

tff(c_1357,plain,
    select(a_1112,i6) = e6,
    inference(superposition,[status(thm),theory(equality)],[c_92,c_1255]) ).

tff(c_16451,plain,
    select(a_1112,i_1129) = e_1131,
    inference(splitRight,[status(thm)],[c_15262]) ).

tff(c_16460,plain,
    ( ( select(a_1111,i_1129) = e_1131 )
    | ( i_1129 = i6 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1574,c_16451]) ).

tff(c_16465,plain,
    i_1129 = i6,
    inference(splitLeft,[status(thm)],[c_16460]) ).

tff(c_16466,plain,
    select(a_1112,i6) = e_1131,
    inference(demodulation,[status(thm),theory(equality)],[c_16465,c_16451]) ).

tff(c_16525,plain,
    e_1131 = e6,
    inference(demodulation,[status(thm),theory(equality)],[c_1357,c_16466]) ).

tff(c_16530,plain,
    e_1130 != e6,
    inference(demodulation,[status(thm),theory(equality)],[c_16525,c_1002]) ).

tff(c_1351,plain,
    select(a_1074,i6) = e6,
    inference(superposition,[status(thm),theory(equality)],[c_16,c_1255]) ).

tff(c_728,plain,
    i8 != i6,
    inference(cnfTransformation,[status(thm)],[f_691]) ).

tff(c_726,plain,
    i9 != i6,
    inference(cnfTransformation,[status(thm)],[f_689]) ).

tff(c_724,plain,
    i6 != i10,
    inference(cnfTransformation,[status(thm)],[f_687]) ).

tff(c_722,plain,
    i6 != i11,
    inference(cnfTransformation,[status(thm)],[f_685]) ).

tff(c_720,plain,
    i6 != i12,
    inference(cnfTransformation,[status(thm)],[f_683]) ).

tff(c_718,plain,
    i6 != i13,
    inference(cnfTransformation,[status(thm)],[f_681]) ).

tff(c_16468,plain,
    select(a_1081,i6) = e_1130,
    inference(demodulation,[status(thm),theory(equality)],[c_16465,c_15876]) ).

tff(c_16879,plain,
    ( ( select(a_1080,i6) = e_1130 )
    | ( i6 = i13 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1658,c_16468]) ).

tff(c_16883,plain,
    select(a_1080,i6) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_718,c_16879]) ).

tff(c_17009,plain,
    ( ( select(a_1079,i6) = e_1130 )
    | ( i6 = i12 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1514,c_16883]) ).

tff(c_17013,plain,
    select(a_1079,i6) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_720,c_17009]) ).

tff(c_17050,plain,
    ( ( select(a_1078,i6) = e_1130 )
    | ( i6 = i11 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1520,c_17013]) ).

tff(c_17054,plain,
    select(a_1078,i6) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_722,c_17050]) ).

tff(c_17063,plain,
    ( ( select(a_1077,i6) = e_1130 )
    | ( i6 = i10 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1646,c_17054]) ).

tff(c_17067,plain,
    select(a_1077,i6) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_724,c_17063]) ).

tff(c_17076,plain,
    ( ( select(a_1076,i6) = e_1130 )
    | ( i9 = i6 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1541,c_17067]) ).

tff(c_17080,plain,
    select(a_1076,i6) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_726,c_17076]) ).

tff(c_17089,plain,
    ( ( select(a_1075,i6) = e_1130 )
    | ( i8 = i6 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1652,c_17080]) ).

tff(c_17093,plain,
    select(a_1075,i6) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_728,c_17089]) ).

tff(c_17100,plain,
    ( ( select(a_1074,i6) = e_1130 )
    | ( i7 = i6 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_17093,c_1559]) ).

tff(c_17106,plain,
    ( ( e_1130 = e6 )
    | ( i7 = i6 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1351,c_17100]) ).

tff(c_17108,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_730,c_16530,c_17106]) ).

tff(c_17110,plain,
    i_1129 != i6,
    inference(splitRight,[status(thm)],[c_16460]) ).

tff(c_16456,plain,
    ( ( select(a_1111,i_1129) = e_1131 )
    | ( i_1129 = i6 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_16451,c_1574]) ).

tff(c_17111,plain,
    select(a_1111,i_1129) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_17110,c_16456]) ).

tff(c_17119,plain,
    ( ( select(a_1110,i_1129) = e_1131 )
    | ( i_1129 = i21 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1583,c_17111]) ).

tff(c_17123,plain,
    select(a_1110,i_1129) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_11137,c_17119]) ).

tff(c_17137,plain,
    select(a_1110,i13) = e_1131,
    inference(demodulation,[status(thm),theory(equality)],[c_17136,c_17123]) ).

tff(c_17557,plain,
    ( ( select(a_1109,i13) = e_1131 )
    | ( i8 = i13 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1487,c_17137]) ).

tff(c_17561,plain,
    select(a_1109,i13) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_628,c_17557]) ).

tff(c_17698,plain,
    ( ( select(a_1108,i13) = e_1131 )
    | ( i20 = i13 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_17561,c_1517]) ).

tff(c_17704,plain,
    select(a_1108,i13) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_424,c_17698]) ).

tff(c_17753,plain,
    ( ( select(a_1107,i13) = e_1131 )
    | ( i18 = i13 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1598,c_17704]) ).

tff(c_17757,plain,
    select(a_1107,i13) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_428,c_17753]) ).

tff(c_17766,plain,
    ( ( select(a_1106,i13) = e_1131 )
    | ( i25 = i13 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1577,c_17757]) ).

tff(c_17770,plain,
    select(a_1106,i13) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_414,c_17766]) ).

tff(c_17779,plain,
    ( ( select(a_1105,i13) = e_1131 )
    | ( i15 = i13 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1490,c_17770]) ).

tff(c_17783,plain,
    select(a_1105,i13) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_434,c_17779]) ).

tff(c_17792,plain,
    ( ( select(a_1104,i13) = e_1131 )
    | ( i2 = i13 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1526,c_17783]) ).

tff(c_17796,plain,
    select(a_1104,i13) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_922,c_17792]) ).

tff(c_17807,plain,
    ( ( select(a_1103,i13) = e_1131 )
    | ( i30 = i13 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1637,c_17796]) ).

tff(c_17811,plain,
    select(a_1103,i13) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_404,c_17807]) ).

tff(c_17816,plain,
    ( ( select(a_1102,i13) = e_1131 )
    | ( i9 = i13 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_17811,c_1592]) ).

tff(c_17822,plain,
    select(a_1102,i13) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_586,c_17816]) ).

tff(c_17833,plain,
    ( ( select(a_1101,i13) = e_1131 )
    | ( i4 = i13 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1511,c_17822]) ).

tff(c_17837,plain,
    select(a_1101,i13) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_816,c_17833]) ).

tff(c_17846,plain,
    ( ( select(a_1100,i13) = e_1131 )
    | ( i19 = i13 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1634,c_17837]) ).

tff(c_17850,plain,
    select(a_1100,i13) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_426,c_17846]) ).

tff(c_17855,plain,
    ( ( select(a_1099,i13) = e_1131 )
    | ( i13 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_17850,c_1547]) ).

tff(c_17861,plain,
    ( ( e_1131 = e13 )
    | ( i13 = i1 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1312,c_17855]) ).

tff(c_17863,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_978,c_17204,c_17861]) ).

tff(c_17864,plain,
    select(a_1080,i_1129) = e_1130,
    inference(splitRight,[status(thm)],[c_15882]) ).

tff(c_17869,plain,
    ( ( select(a_1079,i_1129) = e_1130 )
    | ( i_1129 = i12 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_17864,c_1514]) ).

tff(c_17875,plain,
    select(a_1079,i_1129) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_12576,c_17869]) ).

tff(c_17885,plain,
    ( ( select(a_1078,i_1129) = e_1130 )
    | ( i_1129 = i11 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1520,c_17875]) ).

tff(c_17889,plain,
    select(a_1078,i_1129) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_16452,c_17885]) ).

tff(c_17900,plain,
    ( ( select(a_1077,i_1129) = e_1130 )
    | ( i_1129 = i10 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1646,c_17889]) ).

tff(c_17904,plain,
    select(a_1077,i_1129) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_5436,c_17900]) ).

tff(c_17913,plain,
    ( ( select(a_1076,i_1129) = e_1130 )
    | ( i_1129 = i9 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1541,c_17904]) ).

tff(c_18638,plain,
    i_1129 = i9,
    inference(splitLeft,[status(thm)],[c_17913]) ).

tff(c_18645,plain,
    select(a_1077,i9) = e_1130,
    inference(demodulation,[status(thm),theory(equality)],[c_18638,c_17904]) ).

tff(c_18712,plain,
    e_1130 = e9,
    inference(demodulation,[status(thm),theory(equality)],[c_1324,c_18645]) ).

tff(c_18717,plain,
    e_1131 != e9,
    inference(demodulation,[status(thm),theory(equality)],[c_18712,c_1002]) ).

tff(c_1375,plain,
    select(a_1103,i9) = e9,
    inference(superposition,[status(thm),theory(equality)],[c_74,c_1255]) ).

tff(c_930,plain,
    i9 != i2,
    inference(cnfTransformation,[status(thm)],[f_893]) ).

tff(c_582,plain,
    i9 != i15,
    inference(cnfTransformation,[status(thm)],[f_545]) ).

tff(c_10163,plain,
    i_1129 != i25,
    inference(splitRight,[status(thm)],[c_9619]) ).

tff(c_14323,plain,
    i_1129 != i18,
    inference(splitRight,[status(thm)],[c_13801]) ).

tff(c_11694,plain,
    i_1129 != i20,
    inference(splitRight,[status(thm)],[c_11162]) ).

tff(c_636,plain,
    i9 != i8,
    inference(cnfTransformation,[status(thm)],[f_599]) ).

tff(c_1270,plain,
    select(a_1110,i8) = e8,
    inference(superposition,[status(thm),theory(equality)],[c_88,c_1255]) ).

tff(c_17132,plain,
    ( ( select(a_1109,i_1129) = e_1131 )
    | ( i_1129 = i8 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1487,c_17123]) ).

tff(c_17917,plain,
    i_1129 = i8,
    inference(splitLeft,[status(thm)],[c_17132]) ).

tff(c_17923,plain,
    select(a_1110,i8) = e_1131,
    inference(demodulation,[status(thm),theory(equality)],[c_17917,c_17123]) ).

tff(c_17985,plain,
    e_1131 = e8,
    inference(demodulation,[status(thm),theory(equality)],[c_1270,c_17923]) ).

tff(c_17990,plain,
    e_1130 != e8,
    inference(demodulation,[status(thm),theory(equality)],[c_17985,c_1002]) ).

tff(c_1435,plain,
    select(a_1076,i8) = e8,
    inference(superposition,[status(thm),theory(equality)],[c_20,c_1255]) ).

tff(c_17918,plain,
    select(a_1077,i8) = e_1130,
    inference(demodulation,[status(thm),theory(equality)],[c_17917,c_17904]) ).

tff(c_18563,plain,
    ( ( select(a_1076,i8) = e_1130 )
    | ( i9 = i8 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_17918,c_1541]) ).

tff(c_18569,plain,
    ( ( e_1130 = e8 )
    | ( i9 = i8 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1435,c_18563]) ).

tff(c_18571,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_636,c_17990,c_18569]) ).

tff(c_18572,plain,
    select(a_1109,i_1129) = e_1131,
    inference(splitRight,[status(thm)],[c_17132]) ).

tff(c_18577,plain,
    ( ( select(a_1108,i_1129) = e_1131 )
    | ( i_1129 = i20 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_18572,c_1517]) ).

tff(c_18583,plain,
    select(a_1108,i_1129) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_11694,c_18577]) ).

tff(c_18589,plain,
    ( ( select(a_1107,i_1129) = e_1131 )
    | ( i_1129 = i18 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_18583,c_1598]) ).

tff(c_18595,plain,
    select(a_1107,i_1129) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_14323,c_18589]) ).

tff(c_18602,plain,
    ( ( select(a_1106,i_1129) = e_1131 )
    | ( i_1129 = i25 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_18595,c_1577]) ).

tff(c_18608,plain,
    select(a_1106,i_1129) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_10163,c_18602]) ).

tff(c_18640,plain,
    select(a_1106,i9) = e_1131,
    inference(demodulation,[status(thm),theory(equality)],[c_18638,c_18608]) ).

tff(c_19298,plain,
    ( ( select(a_1105,i9) = e_1131 )
    | ( i9 = i15 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1490,c_18640]) ).

tff(c_19302,plain,
    select(a_1105,i9) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_582,c_19298]) ).

tff(c_19321,plain,
    ( ( select(a_1104,i9) = e_1131 )
    | ( i9 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_19302,c_1526]) ).

tff(c_19327,plain,
    select(a_1104,i9) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_930,c_19321]) ).

tff(c_19379,plain,
    ( ( select(a_1103,i9) = e_1131 )
    | ( i9 = i30 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_19327,c_1637]) ).

tff(c_19385,plain,
    ( ( e_1131 = e9 )
    | ( i9 = i30 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1375,c_19379]) ).

tff(c_19387,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_552,c_18717,c_19385]) ).

tff(c_19389,plain,
    i_1129 != i9,
    inference(splitRight,[status(thm)],[c_17913]) ).

tff(c_3239,plain,
    i_1129 != i30,
    inference(splitRight,[status(thm)],[c_1960]) ).

tff(c_942,plain,
    i3 != i2,
    inference(cnfTransformation,[status(thm)],[f_905]) ).

tff(c_1309,plain,
    select(a_1105,i2) = e2,
    inference(superposition,[status(thm),theory(equality)],[c_78,c_1255]) ).

tff(c_15866,plain,
    i_1129 != i15,
    inference(splitRight,[status(thm)],[c_14961]) ).

tff(c_18621,plain,
    ( ( select(a_1105,i_1129) = e_1131 )
    | ( i_1129 = i15 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1490,c_18608]) ).

tff(c_18625,plain,
    select(a_1105,i_1129) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_15866,c_18621]) ).

tff(c_18630,plain,
    ( ( select(a_1104,i_1129) = e_1131 )
    | ( i_1129 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_18625,c_1526]) ).

tff(c_19453,plain,
    i_1129 = i2,
    inference(splitLeft,[status(thm)],[c_18630]) ).

tff(c_19460,plain,
    select(a_1105,i2) = e_1131,
    inference(demodulation,[status(thm),theory(equality)],[c_19453,c_18625]) ).

tff(c_19533,plain,
    e_1131 = e2,
    inference(demodulation,[status(thm),theory(equality)],[c_1309,c_19460]) ).

tff(c_19538,plain,
    e_1130 != e2,
    inference(demodulation,[status(thm),theory(equality)],[c_19533,c_1002]) ).

tff(c_8,plain,
    store(a_1069,i2,e2) = a_1070,
    inference(cnfTransformation,[status(thm)],[f_32]) ).

tff(c_1411,plain,
    select(a_1070,i2) = e2,
    inference(superposition,[status(thm),theory(equality)],[c_8,c_1255]) ).

tff(c_940,plain,
    i4 != i2,
    inference(cnfTransformation,[status(thm)],[f_903]) ).

tff(c_14934,plain,
    i_1129 != i5,
    inference(splitRight,[status(thm)],[c_13199]) ).

tff(c_6400,plain,
    i_1129 != i7,
    inference(splitRight,[status(thm)],[c_5457]) ).

tff(c_18573,plain,
    i_1129 != i8,
    inference(splitRight,[status(thm)],[c_17132]) ).

tff(c_19388,plain,
    select(a_1076,i_1129) = e_1130,
    inference(splitRight,[status(thm)],[c_17913]) ).

tff(c_19393,plain,
    ( ( select(a_1075,i_1129) = e_1130 )
    | ( i_1129 = i8 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_19388,c_1652]) ).

tff(c_19399,plain,
    select(a_1075,i_1129) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_18573,c_19393]) ).

tff(c_19409,plain,
    ( ( select(a_1074,i_1129) = e_1130 )
    | ( i_1129 = i7 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1559,c_19399]) ).

tff(c_19413,plain,
    select(a_1074,i_1129) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_6400,c_19409]) ).

tff(c_19424,plain,
    ( ( select(a_1073,i_1129) = e_1130 )
    | ( i_1129 = i6 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1568,c_19413]) ).

tff(c_19428,plain,
    select(a_1073,i_1129) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_17110,c_19424]) ).

tff(c_19433,plain,
    ( ( select(a_1072,i_1129) = e_1130 )
    | ( i_1129 = i5 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_19428,c_1589]) ).

tff(c_19439,plain,
    select(a_1072,i_1129) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_14934,c_19433]) ).

tff(c_20255,plain,
    select(a_1072,i2) = e_1130,
    inference(demodulation,[status(thm),theory(equality)],[c_19453,c_19439]) ).

tff(c_20263,plain,
    ( ( select(a_1071,i2) = e_1130 )
    | ( i4 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1565,c_20255]) ).

tff(c_20267,plain,
    select(a_1071,i2) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_940,c_20263]) ).

tff(c_1556,plain,
    ! [J_14] :
      ( ( select(a_1071,J_14) = select(a_1070,J_14) )
      | ( i3 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_10,c_1465]) ).

tff(c_20274,plain,
    ( ( select(a_1070,i2) = e_1130 )
    | ( i3 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_20267,c_1556]) ).

tff(c_20280,plain,
    ( ( e_1130 = e2 )
    | ( i3 = i2 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1411,c_20274]) ).

tff(c_20282,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_942,c_19538,c_20280]) ).

tff(c_20283,plain,
    select(a_1104,i_1129) = e_1131,
    inference(splitRight,[status(thm)],[c_18630]) ).

tff(c_20296,plain,
    ( ( select(a_1103,i_1129) = e_1131 )
    | ( i_1129 = i30 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1637,c_20283]) ).

tff(c_20300,plain,
    select(a_1103,i_1129) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_3239,c_20296]) ).

tff(c_20309,plain,
    ( ( select(a_1102,i_1129) = e_1131 )
    | ( i_1129 = i9 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1592,c_20300]) ).

tff(c_20313,plain,
    select(a_1102,i_1129) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_19389,c_20309]) ).

tff(c_20318,plain,
    ( ( select(a_1101,i_1129) = e_1131 )
    | ( i_1129 = i4 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_20313,c_1511]) ).

tff(c_20325,plain,
    i_1129 = i4,
    inference(splitLeft,[status(thm)],[c_20318]) ).

tff(c_19437,plain,
    ( ( select(a_1072,i_1129) = e_1130 )
    | ( i_1129 = i5 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1589,c_19428]) ).

tff(c_19441,plain,
    select(a_1072,i_1129) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_14934,c_19437]) ).

tff(c_20330,plain,
    select(a_1072,i4) = e_1130,
    inference(demodulation,[status(thm),theory(equality)],[c_20325,c_19441]) ).

tff(c_20410,plain,
    e_1130 = e4,
    inference(demodulation,[status(thm),theory(equality)],[c_1348,c_20330]) ).

tff(c_1294,plain,
    select(a_1102,i4) = e4,
    inference(superposition,[status(thm),theory(equality)],[c_72,c_1255]) ).

tff(c_20326,plain,
    select(a_1102,i4) = e_1131,
    inference(demodulation,[status(thm),theory(equality)],[c_20325,c_20313]) ).

tff(c_20409,plain,
    e_1131 = e4,
    inference(demodulation,[status(thm),theory(equality)],[c_1294,c_20326]) ).

tff(c_20415,plain,
    e_1130 != e4,
    inference(demodulation,[status(thm),theory(equality)],[c_20409,c_1002]) ).

tff(c_20425,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_20410,c_20415]) ).

tff(c_20426,plain,
    select(a_1101,i_1129) = e_1131,
    inference(splitRight,[status(thm)],[c_20318]) ).

tff(c_20433,plain,
    ( ( select(a_1100,i_1129) = e_1131 )
    | ( i_1129 = i19 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_20426,c_1634]) ).

tff(c_20439,plain,
    select(a_1100,i_1129) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_13793,c_20433]) ).

tff(c_20449,plain,
    ( ( select(a_1099,i_1129) = e_1131 )
    | ( i_1129 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1547,c_20439]) ).

tff(c_20494,plain,
    i_1129 = i1,
    inference(splitLeft,[status(thm)],[c_20449]) ).

tff(c_20498,plain,
    select(a_1100,i1) = e_1131,
    inference(demodulation,[status(thm),theory(equality)],[c_20494,c_20439]) ).

tff(c_20585,plain,
    e_1131 = e1,
    inference(demodulation,[status(thm),theory(equality)],[c_1330,c_20498]) ).

tff(c_6,plain,
    store(a1,i1,e1) = a_1069,
    inference(cnfTransformation,[status(thm)],[f_31]) ).

tff(c_1318,plain,
    select(a_1069,i1) = e1,
    inference(superposition,[status(thm),theory(equality)],[c_6,c_1255]) ).

tff(c_20284,plain,
    i_1129 != i2,
    inference(splitRight,[status(thm)],[c_18630]) ).

tff(c_1628,plain,
    ! [J_14] :
      ( ( select(a_1070,J_14) = select(a_1069,J_14) )
      | ( i2 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_8,c_1465]) ).

tff(c_13146,plain,
    i_1129 != i3,
    inference(splitRight,[status(thm)],[c_12580]) ).

tff(c_20427,plain,
    i_1129 != i4,
    inference(splitRight,[status(thm)],[c_20318]) ).

tff(c_19450,plain,
    ( ( select(a_1071,i_1129) = e_1130 )
    | ( i_1129 = i4 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1565,c_19441]) ).

tff(c_20452,plain,
    select(a_1071,i_1129) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_20427,c_19450]) ).

tff(c_20460,plain,
    ( ( select(a_1070,i_1129) = e_1130 )
    | ( i_1129 = i3 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1556,c_20452]) ).

tff(c_20464,plain,
    select(a_1070,i_1129) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_13146,c_20460]) ).

tff(c_20473,plain,
    ( ( select(a_1069,i_1129) = e_1130 )
    | ( i_1129 = i2 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1628,c_20464]) ).

tff(c_20477,plain,
    select(a_1069,i_1129) = e_1130,
    inference(negUnitSimplification,[status(thm)],[c_20284,c_20473]) ).

tff(c_20495,plain,
    select(a_1069,i1) = e_1130,
    inference(demodulation,[status(thm),theory(equality)],[c_20494,c_20477]) ).

tff(c_20584,plain,
    e_1130 = e1,
    inference(demodulation,[status(thm),theory(equality)],[c_1318,c_20495]) ).

tff(c_20594,plain,
    e_1131 != e1,
    inference(demodulation,[status(thm),theory(equality)],[c_20584,c_1002]) ).

tff(c_20604,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_20585,c_20594]) ).

tff(c_20606,plain,
    i_1129 != i1,
    inference(splitRight,[status(thm)],[c_20449]) ).

tff(c_17865,plain,
    i_1129 != i13,
    inference(splitRight,[status(thm)],[c_15882]) ).

tff(c_1529,plain,
    ! [J_14] :
      ( ( select(a_1099,J_14) = select(a1,J_14) )
      | ( i13 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_66,c_1465]) ).

tff(c_20605,plain,
    select(a_1099,i_1129) = e_1131,
    inference(splitRight,[status(thm)],[c_20449]) ).

tff(c_20614,plain,
    ( ( select(a1,i_1129) = e_1131 )
    | ( i_1129 = i13 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1529,c_20605]) ).

tff(c_20618,plain,
    select(a1,i_1129) = e_1131,
    inference(negUnitSimplification,[status(thm)],[c_17865,c_20614]) ).

tff(c_1535,plain,
    ! [J_14] :
      ( ( select(a_1069,J_14) = select(a1,J_14) )
      | ( i1 = J_14 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_6,c_1465]) ).

tff(c_20486,plain,
    ( ( select(a1,i_1129) = e_1130 )
    | ( i_1129 = i1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1535,c_20477]) ).

tff(c_20626,plain,
    ( ( e_1131 = e_1130 )
    | ( i_1129 = i1 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_20618,c_20486]) ).

tff(c_20627,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_20606,c_1002,c_20626]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWV505-1.030 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.35  % Computer : n026.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu Aug  3 22:55:31 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 25.09/11.66  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 25.60/11.91  
% 25.60/11.91  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 25.99/12.02  
% 25.99/12.02  Inference rules
% 25.99/12.02  ----------------------
% 25.99/12.02  #Ref     : 0
% 25.99/12.02  #Sup     : 5166
% 25.99/12.02  #Fact    : 0
% 25.99/12.02  #Define  : 0
% 25.99/12.02  #Split   : 32
% 25.99/12.02  #Chain   : 0
% 25.99/12.02  #Close   : 0
% 25.99/12.02  
% 25.99/12.02  Ordering : KBO
% 25.99/12.02  
% 25.99/12.02  Simplification rules
% 25.99/12.02  ----------------------
% 25.99/12.02  #Subsume      : 437
% 25.99/12.02  #Demod        : 2849
% 25.99/12.02  #Tautology    : 4678
% 25.99/12.02  #SimpNegUnit  : 1571
% 25.99/12.02  #BackRed      : 1179
% 25.99/12.02  
% 25.99/12.02  #Partial instantiations: 0
% 25.99/12.02  #Strategies tried      : 1
% 25.99/12.02  
% 25.99/12.02  Timing (in seconds)
% 25.99/12.02  ----------------------
% 25.99/12.03  Preprocessing        : 0.85
% 25.99/12.03  Parsing              : 0.42
% 25.99/12.03  CNF conversion       : 0.07
% 25.99/12.03  Main loop            : 9.79
% 25.99/12.03  Inferencing          : 2.85
% 25.99/12.03  Reduction            : 4.19
% 25.99/12.03  Demodulation         : 2.54
% 25.99/12.03  BG Simplification    : 0.10
% 25.99/12.03  Subsumption          : 1.97
% 25.99/12.03  Abstraction          : 0.10
% 25.99/12.03  MUC search           : 0.00
% 25.99/12.03  Cooper               : 0.00
% 25.99/12.03  Total                : 11.01
% 25.99/12.03  Index Insertion      : 0.00
% 25.99/12.03  Index Deletion       : 0.00
% 25.99/12.03  Index Matching       : 0.00
% 25.99/12.03  BG Taut test         : 0.00
%------------------------------------------------------------------------------