TSTP Solution File: SWV571-1.043 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SWV571-1.043 : 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/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n023.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Aug 22 11:05:12 EDT 2023

% Result   : Unsatisfiable 32.25s 16.00s
% Output   : CNFRefutation 32.95s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   75
%            Number of leaves      :  596
% Syntax   : Number of formulae    : 1369 ( 822 unt; 361 typ;   0 def)
%            Number of atoms       : 1369 (1367 equ)
%            Maximal formula atoms :   19 (   1 avg)
%            Number of connectives :  371 (  10   ~; 361   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    7 (   4   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :  361 ( 361 usr; 357 con; 0-3 aty)
%            Number of variables   :  163 (; 163   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ store > select > #nlpp > s > p > tail > seq > queue_97 > queue_95 > queue_91 > queue_89 > queue_85 > queue_83 > queue_79 > queue_77 > queue_73 > queue_71 > queue_7 > queue_67 > queue_65 > queue_61 > queue_59 > queue_55 > queue_53 > queue_5 > queue_49 > queue_47 > queue_43 > queue_41 > queue_37 > queue_35 > queue_31 > queue_29 > queue_259 > queue_257 > queue_253 > queue_251 > queue_25 > queue_247 > queue_245 > queue_241 > queue_239 > queue_235 > queue_233 > queue_23 > queue_229 > queue_227 > queue_223 > queue_221 > queue_217 > queue_215 > queue_211 > queue_209 > queue_205 > queue_203 > queue_199 > queue_197 > queue_193 > queue_191 > queue_19 > queue_187 > queue_185 > queue_181 > queue_179 > queue_175 > queue_173 > queue_17 > queue_169 > queue_167 > queue_163 > queue_161 > queue_157 > queue_155 > queue_151 > queue_149 > queue_145 > queue_143 > queue_139 > queue_137 > queue_133 > queue_131 > queue_13 > queue_127 > queue_125 > queue_121 > queue_119 > queue_115 > queue_113 > queue_11 > queue_109 > queue_107 > queue_103 > queue_101 > queue_1 > q9 > q8 > q7 > q6 > q5 > q43 > q42 > q41 > q40 > q4 > q39 > q38 > q37 > q36 > q35 > q34 > q33 > q32 > q31 > q30 > q3 > q29 > q28 > q27 > q26 > q25 > q24 > q23 > q22 > q21 > q20 > q2 > q19 > q18 > q17 > q16 > q15 > q14 > q13 > q12 > q11 > q10 > q1 > q0 > q > index_99 > index_96 > index_93 > index_90 > index_9 > index_87 > index_84 > index_81 > index_78 > index_75 > index_72 > index_69 > index_66 > index_63 > index_60 > index_6 > index_57 > index_54 > index_51 > index_48 > index_45 > index_42 > index_39 > index_36 > index_33 > index_30 > index_3 > index_27 > index_264 > index_263 > index_261 > index_258 > index_255 > index_252 > index_249 > index_246 > index_243 > index_240 > index_24 > index_237 > index_234 > index_231 > index_228 > index_225 > index_222 > index_219 > index_216 > index_213 > index_210 > index_21 > index_207 > index_204 > index_201 > index_198 > index_195 > index_192 > index_189 > index_186 > index_183 > index_180 > index_18 > index_177 > index_174 > index_171 > index_168 > index_165 > index_162 > index_159 > index_156 > index_153 > index_150 > index_15 > index_147 > index_144 > index_141 > index_138 > index_135 > index_132 > index_129 > index_126 > index_123 > index_120 > index_12 > index_117 > index_114 > index_111 > index_108 > index_105 > index_102 > index_0 > head > elem_265 > elem_262 > earray_98 > earray_94 > earray_92 > earray_88 > earray_86 > earray_82 > earray_80 > earray_8 > earray_76 > earray_74 > earray_70 > earray_68 > earray_64 > earray_62 > earray_58 > earray_56 > earray_52 > earray_50 > earray_46 > earray_44 > earray_40 > earray_4 > earray_38 > earray_34 > earray_32 > earray_28 > earray_260 > earray_26 > earray_256 > earray_254 > earray_250 > earray_248 > earray_244 > earray_242 > earray_238 > earray_236 > earray_232 > earray_230 > earray_226 > earray_224 > earray_220 > earray_22 > earray_218 > earray_214 > earray_212 > earray_208 > earray_206 > earray_202 > earray_200 > earray_20 > earray_2 > earray_196 > earray_194 > earray_190 > earray_188 > earray_184 > earray_182 > earray_178 > earray_176 > earray_172 > earray_170 > earray_166 > earray_164 > earray_160 > earray_16 > earray_158 > earray_154 > earray_152 > earray_148 > earray_146 > earray_142 > earray_140 > earray_14 > earray_136 > earray_134 > earray_130 > earray_128 > earray_124 > earray_122 > earray_118 > earray_116 > earray_112 > earray_110 > earray_106 > earray_104 > earray_100 > earray_10 > e9 > e8 > e7 > e6 > e5 > e42 > e41 > e40 > e4 > e39 > e38 > e37 > e36 > e35 > e34 > e33 > e32 > e31 > e30 > e3 > e29 > e28 > e27 > e26 > e25 > e24 > e23 > e22 > e21 > e20 > e2 > e19 > e18 > e17 > e16 > e15 > e14 > e13 > e12 > e11 > e10 > e1 > e0

%Foreground sorts:

%Background operators:

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

tff(index_75,type,
    index_75: $i ).

tff(earray_172,type,
    earray_172: $i ).

tff(q4,type,
    q4: $i ).

tff(q9,type,
    q9: $i ).

tff(index_90,type,
    index_90: $i ).

tff(earray_98,type,
    earray_98: $i ).

tff(q16,type,
    q16: $i ).

tff(earray_8,type,
    earray_8: $i ).

tff(q3,type,
    q3: $i ).

tff(index_6,type,
    index_6: $i ).

tff(earray_68,type,
    earray_68: $i ).

tff(earray_118,type,
    earray_118: $i ).

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

tff(q7,type,
    q7: $i ).

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

tff(earray_28,type,
    earray_28: $i ).

tff(earray_16,type,
    earray_16: $i ).

tff(earray_52,type,
    earray_52: $i ).

tff(earray_224,type,
    earray_224: $i ).

tff(queue_199,type,
    queue_199: $i ).

tff(index_30,type,
    index_30: $i ).

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

tff(queue_239,type,
    queue_239: $i ).

tff(earray_38,type,
    earray_38: $i ).

tff(queue_13,type,
    queue_13: $i ).

tff(earray_142,type,
    earray_142: $i ).

tff(earray_218,type,
    earray_218: $i ).

tff(earray_128,type,
    earray_128: $i ).

tff(earray_124,type,
    earray_124: $i ).

tff(queue_131,type,
    queue_131: $i ).

tff(queue_229,type,
    queue_229: $i ).

tff(earray_20,type,
    earray_20: $i ).

tff(index_99,type,
    index_99: $i ).

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

tff(earray_244,type,
    earray_244: $i ).

tff(queue_101,type,
    queue_101: $i ).

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

tff(earray_130,type,
    earray_130: $i ).

tff(index_48,type,
    index_48: $i ).

tff(elem_262,type,
    elem_262: $i ).

tff(q20,type,
    q20: $i ).

tff(queue_31,type,
    queue_31: $i ).

tff(index_51,type,
    index_51: $i ).

tff(queue_245,type,
    queue_245: $i ).

tff(queue_211,type,
    queue_211: $i ).

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

tff(earray_88,type,
    earray_88: $i ).

tff(earray_176,type,
    earray_176: $i ).

tff(q38,type,
    q38: $i ).

tff(queue_65,type,
    queue_65: $i ).

tff(queue_175,type,
    queue_175: $i ).

tff(earray_50,type,
    earray_50: $i ).

tff(earray_248,type,
    earray_248: $i ).

tff(e33,type,
    e33: $i ).

tff(q5,type,
    q5: $i ).

tff(queue_235,type,
    queue_235: $i ).

tff(index_81,type,
    index_81: $i ).

tff(queue_233,type,
    queue_233: $i ).

tff(queue_7,type,
    queue_7: $i ).

tff(index_123,type,
    index_123: $i ).

tff(e40,type,
    e40: $i ).

tff(earray_4,type,
    earray_4: $i ).

tff(queue_113,type,
    queue_113: $i ).

tff(index_102,type,
    index_102: $i ).

tff(queue_149,type,
    queue_149: $i ).

tff(queue_41,type,
    queue_41: $i ).

tff(q32,type,
    q32: $i ).

tff(e0,type,
    e0: $i ).

tff(index_0,type,
    index_0: $i ).

tff(s,type,
    s: $i > $i ).

tff(q29,type,
    q29: $i ).

tff(q25,type,
    q25: $i ).

tff(index_135,type,
    index_135: $i ).

tff(earray_106,type,
    earray_106: $i ).

tff(queue_79,type,
    queue_79: $i ).

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

tff(q23,type,
    q23: $i ).

tff(index_96,type,
    index_96: $i ).

tff(queue_37,type,
    queue_37: $i ).

tff(queue_215,type,
    queue_215: $i ).

tff(e38,type,
    e38: $i ).

tff(q34,type,
    q34: $i ).

tff(earray_34,type,
    earray_34: $i ).

tff(earray_14,type,
    earray_14: $i ).

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

tff(e31,type,
    e31: $i ).

tff(index_15,type,
    index_15: $i ).

tff(queue_121,type,
    queue_121: $i ).

tff(queue_251,type,
    queue_251: $i ).

tff(index_27,type,
    index_27: $i ).

tff(q41,type,
    q41: $i ).

tff(q2,type,
    q2: $i ).

tff(index_195,type,
    index_195: $i ).

tff(earray_112,type,
    earray_112: $i ).

tff(index_138,type,
    index_138: $i ).

tff(e39,type,
    e39: $i ).

tff(earray_166,type,
    earray_166: $i ).

tff(earray_122,type,
    earray_122: $i ).

tff(queue_223,type,
    queue_223: $i ).

tff(earray_202,type,
    earray_202: $i ).

tff(queue_1,type,
    queue_1: $i ).

tff(queue_241,type,
    queue_241: $i ).

tff(q10,type,
    q10: $i ).

tff(index_263,type,
    index_263: $i ).

tff(q24,type,
    q24: $i ).

tff(queue_203,type,
    queue_203: $i ).

tff(index_177,type,
    index_177: $i ).

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

tff(earray_206,type,
    earray_206: $i ).

tff(index_108,type,
    index_108: $i ).

tff(index_129,type,
    index_129: $i ).

tff(queue_109,type,
    queue_109: $i ).

tff(q1,type,
    q1: $i ).

tff(index_213,type,
    index_213: $i ).

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

tff(e41,type,
    e41: $i ).

tff(earray_214,type,
    earray_214: $i ).

tff(earray_62,type,
    earray_62: $i ).

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

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

tff(earray_208,type,
    earray_208: $i ).

tff(e35,type,
    e35: $i ).

tff(queue_77,type,
    queue_77: $i ).

tff(q36,type,
    q36: $i ).

tff(earray_260,type,
    earray_260: $i ).

tff(q0,type,
    q0: $i ).

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

tff(earray_190,type,
    earray_190: $i ).

tff(queue_95,type,
    queue_95: $i ).

tff(index_63,type,
    index_63: $i ).

tff(index_42,type,
    index_42: $i ).

tff(queue_169,type,
    queue_169: $i ).

tff(earray_2,type,
    earray_2: $i ).

tff(queue_257,type,
    queue_257: $i ).

tff(e42,type,
    e42: $i ).

tff(q8,type,
    q8: $i ).

tff(index_159,type,
    index_159: $i ).

tff(earray_136,type,
    earray_136: $i ).

tff(index_243,type,
    index_243: $i ).

tff(e37,type,
    e37: $i ).

tff(index_225,type,
    index_225: $i ).

tff(index_54,type,
    index_54: $i ).

tff(index_249,type,
    index_249: $i ).

tff(earray_40,type,
    earray_40: $i ).

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

tff(queue_179,type,
    queue_179: $i ).

tff(index_240,type,
    index_240: $i ).

tff(index_264,type,
    index_264: $i ).

tff(q26,type,
    q26: $i ).

tff(earray_256,type,
    earray_256: $i ).

tff(e32,type,
    e32: $i ).

tff(queue_185,type,
    queue_185: $i ).

tff(queue_167,type,
    queue_167: $i ).

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

tff(queue_35,type,
    queue_35: $i ).

tff(index_144,type,
    index_144: $i ).

tff(index_3,type,
    index_3: $i ).

tff(q18,type,
    q18: $i ).

tff(q14,type,
    q14: $i ).

tff(earray_254,type,
    earray_254: $i ).

tff(q43,type,
    q43: $i ).

tff(index_84,type,
    index_84: $i ).

tff(e34,type,
    e34: $i ).

tff(index_186,type,
    index_186: $i ).

tff(q22,type,
    q22: $i ).

tff(queue_209,type,
    queue_209: $i ).

tff(earray_74,type,
    earray_74: $i ).

tff(elem_265,type,
    elem_265: $i ).

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

tff(q37,type,
    q37: $i ).

tff(index_105,type,
    index_105: $i ).

tff(queue_83,type,
    queue_83: $i ).

tff(earray_196,type,
    earray_196: $i ).

tff(index_141,type,
    index_141: $i ).

tff(q15,type,
    q15: $i ).

tff(earray_56,type,
    earray_56: $i ).

tff(queue_247,type,
    queue_247: $i ).

tff(queue_161,type,
    queue_161: $i ).

tff(index_231,type,
    index_231: $i ).

tff(index_216,type,
    index_216: $i ).

tff(index_24,type,
    index_24: $i ).

tff(q31,type,
    q31: $i ).

tff(queue_155,type,
    queue_155: $i ).

tff(earray_236,type,
    earray_236: $i ).

tff(index_165,type,
    index_165: $i ).

tff(index_201,type,
    index_201: $i ).

tff(earray_26,type,
    earray_26: $i ).

tff(queue_205,type,
    queue_205: $i ).

tff(index_87,type,
    index_87: $i ).

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

tff(earray_80,type,
    earray_80: $i ).

tff(queue_97,type,
    queue_97: $i ).

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

tff(queue_19,type,
    queue_19: $i ).

tff(queue_173,type,
    queue_173: $i ).

tff(q27,type,
    q27: $i ).

tff(q39,type,
    q39: $i ).

tff(index_78,type,
    index_78: $i ).

tff(index_93,type,
    index_93: $i ).

tff(index_261,type,
    index_261: $i ).

tff(earray_94,type,
    earray_94: $i ).

tff(earray_164,type,
    earray_164: $i ).

tff(index_33,type,
    index_33: $i ).

tff(earray_104,type,
    earray_104: $i ).

tff(queue_11,type,
    queue_11: $i ).

tff(index_237,type,
    index_237: $i ).

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

tff(q17,type,
    q17: $i ).

tff(index_192,type,
    index_192: $i ).

tff(queue_103,type,
    queue_103: $i ).

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

tff(index_117,type,
    index_117: $i ).

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

tff(index_204,type,
    index_204: $i ).

tff(index_120,type,
    index_120: $i ).

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

tff(index_171,type,
    index_171: $i ).

tff(earray_10,type,
    earray_10: $i ).

tff(earray_200,type,
    earray_200: $i ).

tff(queue_29,type,
    queue_29: $i ).

tff(index_18,type,
    index_18: $i ).

tff(q30,type,
    q30: $i ).

tff(queue_107,type,
    queue_107: $i ).

tff(index_150,type,
    index_150: $i ).

tff(earray_242,type,
    earray_242: $i ).

tff(index_252,type,
    index_252: $i ).

tff(index_246,type,
    index_246: $i ).

tff(index_189,type,
    index_189: $i ).

tff(e36,type,
    e36: $i ).

tff(queue_127,type,
    queue_127: $i ).

tff(earray_44,type,
    earray_44: $i ).

tff(queue_91,type,
    queue_91: $i ).

tff(earray_46,type,
    earray_46: $i ).

tff(queue_89,type,
    queue_89: $i ).

tff(queue_125,type,
    queue_125: $i ).

tff(queue_217,type,
    queue_217: $i ).

tff(earray_134,type,
    earray_134: $i ).

tff(index_174,type,
    index_174: $i ).

tff(q33,type,
    q33: $i ).

tff(index_207,type,
    index_207: $i ).

tff(index_153,type,
    index_153: $i ).

tff(q13,type,
    q13: $i ).

tff(queue_67,type,
    queue_67: $i ).

tff(index_126,type,
    index_126: $i ).

tff(queue_133,type,
    queue_133: $i ).

tff(p,type,
    p: $i > $i ).

tff(index_219,type,
    index_219: $i ).

tff(earray_158,type,
    earray_158: $i ).

tff(queue_5,type,
    queue_5: $i ).

tff(queue_61,type,
    queue_61: $i ).

tff(queue_25,type,
    queue_25: $i ).

tff(index_72,type,
    index_72: $i ).

tff(queue_151,type,
    queue_151: $i ).

tff(earray_22,type,
    earray_22: $i ).

tff(index_183,type,
    index_183: $i ).

tff(index_132,type,
    index_132: $i ).

tff(earray_146,type,
    earray_146: $i ).

tff(queue_157,type,
    queue_157: $i ).

tff(index_21,type,
    index_21: $i ).

tff(earray_184,type,
    earray_184: $i ).

tff(earray_152,type,
    earray_152: $i ).

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

tff(earray_82,type,
    earray_82: $i ).

tff(queue_137,type,
    queue_137: $i ).

tff(queue_71,type,
    queue_71: $i ).

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

tff(earray_110,type,
    earray_110: $i ).

tff(earray_160,type,
    earray_160: $i ).

tff(queue_163,type,
    queue_163: $i ).

tff(earray_232,type,
    earray_232: $i ).

tff(earray_250,type,
    earray_250: $i ).

tff(queue_43,type,
    queue_43: $i ).

tff(index_66,type,
    index_66: $i ).

tff(earray_148,type,
    earray_148: $i ).

tff(q35,type,
    q35: $i ).

tff(earray_238,type,
    earray_238: $i ).

tff(index_12,type,
    index_12: $i ).

tff(queue_197,type,
    queue_197: $i ).

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

tff(earray_100,type,
    earray_100: $i ).

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

tff(index_228,type,
    index_228: $i ).

tff(queue_59,type,
    queue_59: $i ).

tff(q19,type,
    q19: $i ).

tff(queue_115,type,
    queue_115: $i ).

tff(queue_85,type,
    queue_85: $i ).

tff(index_198,type,
    index_198: $i ).

tff(earray_92,type,
    earray_92: $i ).

tff(earray_188,type,
    earray_188: $i ).

tff(queue_49,type,
    queue_49: $i ).

tff(earray_70,type,
    earray_70: $i ).

tff(index_57,type,
    index_57: $i ).

tff(earray_140,type,
    earray_140: $i ).

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

tff(index_162,type,
    index_162: $i ).

tff(earray_76,type,
    earray_76: $i ).

tff(earray_58,type,
    earray_58: $i ).

tff(queue_253,type,
    queue_253: $i ).

tff(earray_170,type,
    earray_170: $i ).

tff(index_114,type,
    index_114: $i ).

tff(index_45,type,
    index_45: $i ).

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

tff(earray_212,type,
    earray_212: $i ).

tff(queue_193,type,
    queue_193: $i ).

tff(queue_119,type,
    queue_119: $i ).

tff(index_255,type,
    index_255: $i ).

tff(earray_154,type,
    earray_154: $i ).

tff(queue_23,type,
    queue_23: $i ).

tff(q12,type,
    q12: $i ).

tff(queue_139,type,
    queue_139: $i ).

tff(queue_221,type,
    queue_221: $i ).

tff(queue_145,type,
    queue_145: $i ).

tff(earray_220,type,
    earray_220: $i ).

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

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

tff(index_111,type,
    index_111: $i ).

tff(earray_116,type,
    earray_116: $i ).

tff(earray_178,type,
    earray_178: $i ).

tff(queue_259,type,
    queue_259: $i ).

tff(index_9,type,
    index_9: $i ).

tff(q28,type,
    q28: $i ).

tff(earray_182,type,
    earray_182: $i ).

tff(queue_227,type,
    queue_227: $i ).

tff(index_180,type,
    index_180: $i ).

tff(earray_230,type,
    earray_230: $i ).

tff(index_36,type,
    index_36: $i ).

tff(index_156,type,
    index_156: $i ).

tff(index_210,type,
    index_210: $i ).

tff(index_60,type,
    index_60: $i ).

tff(queue_53,type,
    queue_53: $i ).

tff(q11,type,
    q11: $i ).

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

tff(earray_226,type,
    earray_226: $i ).

tff(earray_86,type,
    earray_86: $i ).

tff(earray_194,type,
    earray_194: $i ).

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

tff(queue_47,type,
    queue_47: $i ).

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

tff(index_168,type,
    index_168: $i ).

tff(index_234,type,
    index_234: $i ).

tff(earray_32,type,
    earray_32: $i ).

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

tff(index_222,type,
    index_222: $i ).

tff(queue_181,type,
    queue_181: $i ).

tff(queue_191,type,
    queue_191: $i ).

tff(earray_64,type,
    earray_64: $i ).

tff(q21,type,
    q21: $i ).

tff(queue_55,type,
    queue_55: $i ).

tff(index_39,type,
    index_39: $i ).

tff(index_147,type,
    index_147: $i ).

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

tff(queue_143,type,
    queue_143: $i ).

tff(queue_187,type,
    queue_187: $i ).

tff(index_69,type,
    index_69: $i ).

tff(q42,type,
    q42: $i ).

tff(index_258,type,
    index_258: $i ).

tff(queue_73,type,
    queue_73: $i ).

tff(queue_17,type,
    queue_17: $i ).

tff(q6,type,
    q6: $i ).

tff(q40,type,
    q40: $i ).

tff(f_34,axiom,
    head != seq,
    file(unknown,unknown) ).

tff(f_32,axiom,
    head != tail,
    file(unknown,unknown) ).

tff(f_332,axiom,
    q24 = queue_103,
    file(unknown,unknown) ).

tff(f_230,axiom,
    queue_103 = store(queue_101,tail,index_102),
    file(unknown,unknown) ).

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

tff(f_140,axiom,
    index_105 = select(q24,tail),
    file(unknown,unknown) ).

tff(f_141,axiom,
    index_108 = s(index_105),
    file(unknown,unknown) ).

tff(f_38,axiom,
    ! [X] : ( p(s(X)) = X ),
    file(unknown,unknown) ).

tff(f_333,axiom,
    q25 = queue_109,
    file(unknown,unknown) ).

tff(f_232,axiom,
    queue_109 = store(queue_107,tail,index_108),
    file(unknown,unknown) ).

tff(f_142,axiom,
    index_111 = select(q25,tail),
    file(unknown,unknown) ).

tff(f_143,axiom,
    index_114 = s(index_111),
    file(unknown,unknown) ).

tff(f_48,axiom,
    ! [X] : ( s(s(s(X))) = X ),
    file(unknown,unknown) ).

tff(f_334,axiom,
    q26 = queue_115,
    file(unknown,unknown) ).

tff(f_235,axiom,
    queue_115 = store(queue_113,tail,index_114),
    file(unknown,unknown) ).

tff(f_144,axiom,
    index_117 = select(q26,tail),
    file(unknown,unknown) ).

tff(f_146,axiom,
    index_120 = s(index_117),
    file(unknown,unknown) ).

tff(f_335,axiom,
    q27 = queue_121,
    file(unknown,unknown) ).

tff(f_237,axiom,
    queue_121 = store(queue_119,tail,index_120),
    file(unknown,unknown) ).

tff(f_147,axiom,
    index_123 = select(q27,tail),
    file(unknown,unknown) ).

tff(f_148,axiom,
    index_126 = s(index_123),
    file(unknown,unknown) ).

tff(f_336,axiom,
    q28 = queue_127,
    file(unknown,unknown) ).

tff(f_239,axiom,
    queue_127 = store(queue_125,tail,index_126),
    file(unknown,unknown) ).

tff(f_149,axiom,
    index_129 = select(q28,tail),
    file(unknown,unknown) ).

tff(f_337,axiom,
    q29 = queue_133,
    file(unknown,unknown) ).

tff(f_242,axiom,
    queue_133 = store(queue_131,tail,index_132),
    file(unknown,unknown) ).

tff(f_153,axiom,
    index_141 = select(q29,tail),
    file(unknown,unknown) ).

tff(f_154,axiom,
    index_144 = s(index_141),
    file(unknown,unknown) ).

tff(f_150,axiom,
    index_132 = s(index_129),
    file(unknown,unknown) ).

tff(f_339,axiom,
    q30 = queue_145,
    file(unknown,unknown) ).

tff(f_246,axiom,
    queue_145 = store(queue_143,tail,index_144),
    file(unknown,unknown) ).

tff(f_155,axiom,
    index_147 = select(q30,tail),
    file(unknown,unknown) ).

tff(f_157,axiom,
    index_150 = s(index_147),
    file(unknown,unknown) ).

tff(f_340,axiom,
    q31 = queue_151,
    file(unknown,unknown) ).

tff(f_248,axiom,
    queue_151 = store(queue_149,tail,index_150),
    file(unknown,unknown) ).

tff(f_158,axiom,
    index_153 = select(q31,tail),
    file(unknown,unknown) ).

tff(f_159,axiom,
    index_156 = s(index_153),
    file(unknown,unknown) ).

tff(f_341,axiom,
    q32 = queue_157,
    file(unknown,unknown) ).

tff(f_250,axiom,
    queue_157 = store(queue_155,tail,index_156),
    file(unknown,unknown) ).

tff(f_160,axiom,
    index_159 = select(q32,tail),
    file(unknown,unknown) ).

tff(f_161,axiom,
    index_162 = s(index_159),
    file(unknown,unknown) ).

tff(f_342,axiom,
    q33 = queue_163,
    file(unknown,unknown) ).

tff(f_252,axiom,
    queue_163 = store(queue_161,tail,index_162),
    file(unknown,unknown) ).

tff(f_162,axiom,
    index_165 = select(q33,tail),
    file(unknown,unknown) ).

tff(f_163,axiom,
    index_168 = s(index_165),
    file(unknown,unknown) ).

tff(f_343,axiom,
    q34 = queue_169,
    file(unknown,unknown) ).

tff(f_254,axiom,
    queue_169 = store(queue_167,tail,index_168),
    file(unknown,unknown) ).

tff(f_164,axiom,
    index_171 = select(q34,tail),
    file(unknown,unknown) ).

tff(f_165,axiom,
    index_174 = s(index_171),
    file(unknown,unknown) ).

tff(f_344,axiom,
    q35 = queue_175,
    file(unknown,unknown) ).

tff(f_257,axiom,
    queue_175 = store(queue_173,tail,index_174),
    file(unknown,unknown) ).

tff(f_166,axiom,
    index_177 = select(q35,tail),
    file(unknown,unknown) ).

tff(f_168,axiom,
    index_180 = s(index_177),
    file(unknown,unknown) ).

tff(f_345,axiom,
    q36 = queue_181,
    file(unknown,unknown) ).

tff(f_259,axiom,
    queue_181 = store(queue_179,tail,index_180),
    file(unknown,unknown) ).

tff(f_169,axiom,
    index_183 = select(q36,tail),
    file(unknown,unknown) ).

tff(f_170,axiom,
    index_186 = s(index_183),
    file(unknown,unknown) ).

tff(f_346,axiom,
    q37 = queue_187,
    file(unknown,unknown) ).

tff(f_261,axiom,
    queue_187 = store(queue_185,tail,index_186),
    file(unknown,unknown) ).

tff(f_171,axiom,
    index_189 = select(q37,tail),
    file(unknown,unknown) ).

tff(f_172,axiom,
    index_192 = s(index_189),
    file(unknown,unknown) ).

tff(f_347,axiom,
    q38 = queue_193,
    file(unknown,unknown) ).

tff(f_264,axiom,
    queue_193 = store(queue_191,tail,index_192),
    file(unknown,unknown) ).

tff(f_173,axiom,
    index_195 = select(q38,tail),
    file(unknown,unknown) ).

tff(f_348,axiom,
    q39 = queue_199,
    file(unknown,unknown) ).

tff(f_266,axiom,
    queue_199 = store(queue_197,tail,index_198),
    file(unknown,unknown) ).

tff(f_177,axiom,
    index_207 = select(q39,tail),
    file(unknown,unknown) ).

tff(f_179,axiom,
    index_210 = s(index_207),
    file(unknown,unknown) ).

tff(f_174,axiom,
    index_198 = s(index_195),
    file(unknown,unknown) ).

tff(f_350,axiom,
    q40 = queue_211,
    file(unknown,unknown) ).

tff(f_270,axiom,
    queue_211 = store(queue_209,tail,index_210),
    file(unknown,unknown) ).

tff(f_180,axiom,
    index_213 = select(q40,tail),
    file(unknown,unknown) ).

tff(f_351,axiom,
    q41 = queue_217,
    file(unknown,unknown) ).

tff(f_272,axiom,
    queue_217 = store(queue_215,tail,index_216),
    file(unknown,unknown) ).

tff(f_182,axiom,
    index_219 = select(q41,tail),
    file(unknown,unknown) ).

tff(f_183,axiom,
    index_222 = s(index_219),
    file(unknown,unknown) ).

tff(f_181,axiom,
    index_216 = s(index_213),
    file(unknown,unknown) ).

tff(f_352,axiom,
    q42 = queue_223,
    file(unknown,unknown) ).

tff(f_274,axiom,
    queue_223 = store(queue_221,tail,index_222),
    file(unknown,unknown) ).

tff(f_184,axiom,
    index_225 = select(q42,tail),
    file(unknown,unknown) ).

tff(f_97,axiom,
    earray_226 = store(earray_224,index_225,e42),
    file(unknown,unknown) ).

tff(f_36,axiom,
    tail != seq,
    file(unknown,unknown) ).

tff(f_109,axiom,
    earray_260 = select(q43,seq),
    file(unknown,unknown) ).

tff(f_353,axiom,
    q43 = queue_229,
    file(unknown,unknown) ).

tff(f_276,axiom,
    queue_229 = store(queue_227,tail,index_228),
    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_275,axiom,
    queue_227 = store(q42,seq,earray_226),
    file(unknown,unknown) ).

tff(f_185,axiom,
    index_228 = s(index_225),
    file(unknown,unknown) ).

tff(f_198,axiom,
    index_263 = select(q43,tail),
    file(unknown,unknown) ).

tff(f_199,axiom,
    s(index_264) = index_263,
    file(unknown,unknown) ).

tff(f_137,axiom,
    elem_265 = select(earray_260,index_264),
    file(unknown,unknown) ).

tff(f_360,axiom,
    elem_262 != elem_265,
    file(unknown,unknown) ).

tff(f_138,axiom,
    index_0 = select(q,tail),
    file(unknown,unknown) ).

tff(f_315,axiom,
    q0 = queue_1,
    file(unknown,unknown) ).

tff(f_228,axiom,
    queue_1 = store(q,head,index_0),
    file(unknown,unknown) ).

tff(f_358,axiom,
    q9 = queue_259,
    file(unknown,unknown) ).

tff(f_288,axiom,
    queue_259 = store(queue_257,tail,index_258),
    file(unknown,unknown) ).

tff(f_223,axiom,
    index_9 = select(q9,tail),
    file(unknown,unknown) ).

tff(f_145,axiom,
    index_12 = s(index_9),
    file(unknown,unknown) ).

tff(f_194,axiom,
    index_252 = s(index_249),
    file(unknown,unknown) ).

tff(f_357,axiom,
    q8 = queue_253,
    file(unknown,unknown) ).

tff(f_286,axiom,
    queue_253 = store(queue_251,tail,index_252),
    file(unknown,unknown) ).

tff(f_195,axiom,
    index_255 = select(q8,tail),
    file(unknown,unknown) ).

tff(f_196,axiom,
    index_258 = s(index_255),
    file(unknown,unknown) ).

tff(f_40,axiom,
    ! [X] : ( s(p(X)) = X ),
    file(unknown,unknown) ).

tff(f_193,axiom,
    index_249 = select(q7,tail),
    file(unknown,unknown) ).

tff(f_338,axiom,
    q3 = queue_139,
    file(unknown,unknown) ).

tff(f_244,axiom,
    queue_139 = store(queue_137,tail,index_138),
    file(unknown,unknown) ).

tff(f_175,axiom,
    index_201 = select(q3,tail),
    file(unknown,unknown) ).

tff(f_176,axiom,
    index_204 = s(index_201),
    file(unknown,unknown) ).

tff(f_152,axiom,
    index_138 = s(index_135),
    file(unknown,unknown) ).

tff(f_349,axiom,
    q4 = queue_205,
    file(unknown,unknown) ).

tff(f_268,axiom,
    queue_205 = store(queue_203,tail,index_204),
    file(unknown,unknown) ).

tff(f_186,axiom,
    index_231 = select(q4,tail),
    file(unknown,unknown) ).

tff(f_187,axiom,
    index_234 = s(index_231),
    file(unknown,unknown) ).

tff(f_354,axiom,
    q5 = queue_235,
    file(unknown,unknown) ).

tff(f_279,axiom,
    queue_235 = store(queue_233,tail,index_234),
    file(unknown,unknown) ).

tff(f_188,axiom,
    index_237 = select(q5,tail),
    file(unknown,unknown) ).

tff(f_190,axiom,
    index_240 = s(index_237),
    file(unknown,unknown) ).

tff(f_355,axiom,
    q6 = queue_241,
    file(unknown,unknown) ).

tff(f_281,axiom,
    queue_241 = store(queue_239,tail,index_240),
    file(unknown,unknown) ).

tff(f_191,axiom,
    index_243 = select(q6,tail),
    file(unknown,unknown) ).

tff(f_192,axiom,
    index_246 = s(index_243),
    file(unknown,unknown) ).

tff(f_356,axiom,
    q7 = queue_247,
    file(unknown,unknown) ).

tff(f_283,axiom,
    queue_247 = store(queue_245,tail,index_246),
    file(unknown,unknown) ).

tff(f_151,axiom,
    index_135 = select(q2,tail),
    file(unknown,unknown) ).

tff(f_327,axiom,
    q2 = queue_73,
    file(unknown,unknown) ).

tff(f_306,axiom,
    queue_73 = store(queue_71,tail,index_72),
    file(unknown,unknown) ).

tff(f_217,axiom,
    index_72 = s(index_69),
    file(unknown,unknown) ).

tff(f_317,axiom,
    q10 = queue_13,
    file(unknown,unknown) ).

tff(f_240,axiom,
    queue_13 = store(queue_11,tail,index_12),
    file(unknown,unknown) ).

tff(f_156,axiom,
    index_15 = select(q10,tail),
    file(unknown,unknown) ).

tff(f_167,axiom,
    index_18 = s(index_15),
    file(unknown,unknown) ).

tff(f_139,axiom,
    index_102 = s(index_99),
    file(unknown,unknown) ).

tff(f_227,axiom,
    index_99 = select(q23,tail),
    file(unknown,unknown) ).

tff(f_318,axiom,
    q11 = queue_19,
    file(unknown,unknown) ).

tff(f_262,axiom,
    queue_19 = store(queue_17,tail,index_18),
    file(unknown,unknown) ).

tff(f_178,axiom,
    index_21 = select(q11,tail),
    file(unknown,unknown) ).

tff(f_189,axiom,
    index_24 = s(index_21),
    file(unknown,unknown) ).

tff(f_319,axiom,
    q12 = queue_25,
    file(unknown,unknown) ).

tff(f_284,axiom,
    queue_25 = store(queue_23,tail,index_24),
    file(unknown,unknown) ).

tff(f_200,axiom,
    index_27 = select(q12,tail),
    file(unknown,unknown) ).

tff(f_202,axiom,
    index_30 = s(index_27),
    file(unknown,unknown) ).

tff(f_320,axiom,
    q13 = queue_31,
    file(unknown,unknown) ).

tff(f_290,axiom,
    queue_31 = store(queue_29,tail,index_30),
    file(unknown,unknown) ).

tff(f_203,axiom,
    index_33 = select(q13,tail),
    file(unknown,unknown) ).

tff(f_204,axiom,
    index_36 = s(index_33),
    file(unknown,unknown) ).

tff(f_321,axiom,
    q14 = queue_37,
    file(unknown,unknown) ).

tff(f_292,axiom,
    queue_37 = store(queue_35,tail,index_36),
    file(unknown,unknown) ).

tff(f_205,axiom,
    index_39 = select(q14,tail),
    file(unknown,unknown) ).

tff(f_206,axiom,
    index_42 = s(index_39),
    file(unknown,unknown) ).

tff(f_322,axiom,
    q15 = queue_43,
    file(unknown,unknown) ).

tff(f_294,axiom,
    queue_43 = store(queue_41,tail,index_42),
    file(unknown,unknown) ).

tff(f_207,axiom,
    index_45 = select(q15,tail),
    file(unknown,unknown) ).

tff(f_208,axiom,
    index_48 = s(index_45),
    file(unknown,unknown) ).

tff(f_323,axiom,
    q16 = queue_49,
    file(unknown,unknown) ).

tff(f_296,axiom,
    queue_49 = store(queue_47,tail,index_48),
    file(unknown,unknown) ).

tff(f_209,axiom,
    index_51 = select(q16,tail),
    file(unknown,unknown) ).

tff(f_210,axiom,
    index_54 = s(index_51),
    file(unknown,unknown) ).

tff(f_324,axiom,
    q17 = queue_55,
    file(unknown,unknown) ).

tff(f_299,axiom,
    queue_55 = store(queue_53,tail,index_54),
    file(unknown,unknown) ).

tff(f_211,axiom,
    index_57 = select(q17,tail),
    file(unknown,unknown) ).

tff(f_325,axiom,
    q18 = queue_61,
    file(unknown,unknown) ).

tff(f_301,axiom,
    queue_61 = store(queue_59,tail,index_60),
    file(unknown,unknown) ).

tff(f_214,axiom,
    index_63 = select(q18,tail),
    file(unknown,unknown) ).

tff(f_215,axiom,
    index_66 = s(index_63),
    file(unknown,unknown) ).

tff(f_213,axiom,
    index_60 = s(index_57),
    file(unknown,unknown) ).

tff(f_326,axiom,
    q19 = queue_67,
    file(unknown,unknown) ).

tff(f_303,axiom,
    queue_67 = store(queue_65,tail,index_66),
    file(unknown,unknown) ).

tff(f_218,axiom,
    index_75 = select(q19,tail),
    file(unknown,unknown) ).

tff(f_219,axiom,
    index_78 = s(index_75),
    file(unknown,unknown) ).

tff(f_328,axiom,
    q20 = queue_79,
    file(unknown,unknown) ).

tff(f_308,axiom,
    queue_79 = store(queue_77,tail,index_78),
    file(unknown,unknown) ).

tff(f_220,axiom,
    index_81 = select(q20,tail),
    file(unknown,unknown) ).

tff(f_221,axiom,
    index_84 = s(index_81),
    file(unknown,unknown) ).

tff(f_329,axiom,
    q21 = queue_85,
    file(unknown,unknown) ).

tff(f_310,axiom,
    queue_85 = store(queue_83,tail,index_84),
    file(unknown,unknown) ).

tff(f_222,axiom,
    index_87 = select(q21,tail),
    file(unknown,unknown) ).

tff(f_224,axiom,
    index_90 = s(index_87),
    file(unknown,unknown) ).

tff(f_330,axiom,
    q22 = queue_91,
    file(unknown,unknown) ).

tff(f_312,axiom,
    queue_91 = store(queue_89,tail,index_90),
    file(unknown,unknown) ).

tff(f_225,axiom,
    index_93 = select(q22,tail),
    file(unknown,unknown) ).

tff(f_226,axiom,
    index_96 = s(index_93),
    file(unknown,unknown) ).

tff(f_331,axiom,
    q23 = queue_97,
    file(unknown,unknown) ).

tff(f_314,axiom,
    queue_97 = store(queue_95,tail,index_96),
    file(unknown,unknown) ).

tff(f_216,axiom,
    index_69 = select(q1,tail),
    file(unknown,unknown) ).

tff(f_316,axiom,
    q1 = queue_7,
    file(unknown,unknown) ).

tff(f_304,axiom,
    queue_7 = store(queue_5,tail,index_6),
    file(unknown,unknown) ).

tff(f_212,axiom,
    index_6 = s(index_3),
    file(unknown,unknown) ).

tff(f_201,axiom,
    index_3 = select(q0,tail),
    file(unknown,unknown) ).

tff(f_96,axiom,
    earray_224 = select(q42,seq),
    file(unknown,unknown) ).

tff(f_273,axiom,
    queue_221 = store(q41,seq,earray_220),
    file(unknown,unknown) ).

tff(f_136,axiom,
    elem_262 = select(earray_260,index_261),
    file(unknown,unknown) ).

tff(f_280,axiom,
    queue_239 = store(q5,seq,earray_238),
    file(unknown,unknown) ).

tff(f_282,axiom,
    queue_245 = store(q6,seq,earray_244),
    file(unknown,unknown) ).

tff(f_285,axiom,
    queue_251 = store(q7,seq,earray_250),
    file(unknown,unknown) ).

tff(f_287,axiom,
    queue_257 = store(q8,seq,earray_256),
    file(unknown,unknown) ).

tff(f_233,axiom,
    queue_11 = store(q9,seq,earray_10),
    file(unknown,unknown) ).

tff(f_278,axiom,
    queue_233 = store(q4,seq,earray_232),
    file(unknown,unknown) ).

tff(f_267,axiom,
    queue_203 = store(q3,seq,earray_202),
    file(unknown,unknown) ).

tff(f_243,axiom,
    queue_137 = store(q2,seq,earray_136),
    file(unknown,unknown) ).

tff(f_305,axiom,
    queue_71 = store(q1,seq,earray_70),
    file(unknown,unknown) ).

tff(f_255,axiom,
    queue_17 = store(q10,seq,earray_16),
    file(unknown,unknown) ).

tff(f_289,axiom,
    queue_29 = store(q12,seq,earray_28),
    file(unknown,unknown) ).

tff(f_300,axiom,
    queue_59 = store(q17,seq,earray_58),
    file(unknown,unknown) ).

tff(f_309,axiom,
    queue_83 = store(q20,seq,earray_82),
    file(unknown,unknown) ).

tff(f_236,axiom,
    queue_119 = store(q26,seq,earray_118),
    file(unknown,unknown) ).

tff(f_245,axiom,
    queue_143 = store(q29,seq,earray_142),
    file(unknown,unknown) ).

tff(f_258,axiom,
    queue_179 = store(q35,seq,earray_178),
    file(unknown,unknown) ).

tff(f_265,axiom,
    queue_197 = store(q38,seq,earray_196),
    file(unknown,unknown) ).

tff(f_269,axiom,
    queue_209 = store(q39,seq,earray_208),
    file(unknown,unknown) ).

tff(f_197,axiom,
    index_261 = select(q43,head),
    file(unknown,unknown) ).

tff(f_271,axiom,
    queue_215 = store(q40,seq,earray_214),
    file(unknown,unknown) ).

tff(f_263,axiom,
    queue_191 = store(q37,seq,earray_190),
    file(unknown,unknown) ).

tff(f_260,axiom,
    queue_185 = store(q36,seq,earray_184),
    file(unknown,unknown) ).

tff(f_256,axiom,
    queue_173 = store(q34,seq,earray_172),
    file(unknown,unknown) ).

tff(f_253,axiom,
    queue_167 = store(q33,seq,earray_166),
    file(unknown,unknown) ).

tff(f_251,axiom,
    queue_161 = store(q32,seq,earray_160),
    file(unknown,unknown) ).

tff(f_249,axiom,
    queue_155 = store(q31,seq,earray_154),
    file(unknown,unknown) ).

tff(f_247,axiom,
    queue_149 = store(q30,seq,earray_148),
    file(unknown,unknown) ).

tff(f_241,axiom,
    queue_131 = store(q28,seq,earray_130),
    file(unknown,unknown) ).

tff(f_238,axiom,
    queue_125 = store(q27,seq,earray_124),
    file(unknown,unknown) ).

tff(f_234,axiom,
    queue_113 = store(q25,seq,earray_112),
    file(unknown,unknown) ).

tff(f_231,axiom,
    queue_107 = store(q24,seq,earray_106),
    file(unknown,unknown) ).

tff(f_229,axiom,
    queue_101 = store(q23,seq,earray_100),
    file(unknown,unknown) ).

tff(f_313,axiom,
    queue_95 = store(q22,seq,earray_94),
    file(unknown,unknown) ).

tff(f_311,axiom,
    queue_89 = store(q21,seq,earray_88),
    file(unknown,unknown) ).

tff(f_307,axiom,
    queue_77 = store(q19,seq,earray_76),
    file(unknown,unknown) ).

tff(f_302,axiom,
    queue_65 = store(q18,seq,earray_64),
    file(unknown,unknown) ).

tff(f_298,axiom,
    queue_53 = store(q16,seq,earray_52),
    file(unknown,unknown) ).

tff(f_295,axiom,
    queue_47 = store(q15,seq,earray_46),
    file(unknown,unknown) ).

tff(f_293,axiom,
    queue_41 = store(q14,seq,earray_40),
    file(unknown,unknown) ).

tff(f_291,axiom,
    queue_35 = store(q13,seq,earray_34),
    file(unknown,unknown) ).

tff(f_277,axiom,
    queue_23 = store(q11,seq,earray_22),
    file(unknown,unknown) ).

tff(f_297,axiom,
    queue_5 = store(q0,seq,earray_4),
    file(unknown,unknown) ).

tff(c_8,plain,
    seq != head,
    inference(cnfTransformation,[status(thm)],[f_34]) ).

tff(c_6,plain,
    tail != head,
    inference(cnfTransformation,[status(thm)],[f_32]) ).

tff(c_588,plain,
    queue_103 = q24,
    inference(cnfTransformation,[status(thm)],[f_332]) ).

tff(c_384,plain,
    store(queue_101,tail,index_102) = queue_103,
    inference(cnfTransformation,[status(thm)],[f_230]) ).

tff(c_685,plain,
    store(queue_101,tail,index_102) = q24,
    inference(demodulation,[status(thm),theory(equality)],[c_588,c_384]) ).

tff(c_7581,plain,
    ! [A_23,I_24,E_25] : ( select(store(A_23,I_24,E_25),I_24) = E_25 ),
    inference(cnfTransformation,[status(thm)],[f_26]) ).

tff(c_7593,plain,
    select(q24,tail) = index_102,
    inference(superposition,[status(thm),theory(equality)],[c_685,c_7581]) ).

tff(c_204,plain,
    select(q24,tail) = index_105,
    inference(cnfTransformation,[status(thm)],[f_140]) ).

tff(c_10446,plain,
    index_105 = index_102,
    inference(demodulation,[status(thm),theory(equality)],[c_7593,c_204]) ).

tff(c_206,plain,
    s(index_105) = index_108,
    inference(cnfTransformation,[status(thm)],[f_141]) ).

tff(c_1377,plain,
    ! [X_15] : ( p(s(X_15)) = X_15 ),
    inference(cnfTransformation,[status(thm)],[f_38]) ).

tff(c_1425,plain,
    p(index_108) = index_105,
    inference(superposition,[status(thm),theory(equality)],[c_206,c_1377]) ).

tff(c_590,plain,
    queue_109 = q25,
    inference(cnfTransformation,[status(thm)],[f_333]) ).

tff(c_388,plain,
    store(queue_107,tail,index_108) = queue_109,
    inference(cnfTransformation,[status(thm)],[f_232]) ).

tff(c_684,plain,
    store(queue_107,tail,index_108) = q25,
    inference(demodulation,[status(thm),theory(equality)],[c_590,c_388]) ).

tff(c_7608,plain,
    select(q25,tail) = index_108,
    inference(superposition,[status(thm),theory(equality)],[c_684,c_7581]) ).

tff(c_208,plain,
    select(q25,tail) = index_111,
    inference(cnfTransformation,[status(thm)],[f_142]) ).

tff(c_8944,plain,
    index_111 = index_108,
    inference(demodulation,[status(thm),theory(equality)],[c_7608,c_208]) ).

tff(c_210,plain,
    s(index_111) = index_114,
    inference(cnfTransformation,[status(thm)],[f_143]) ).

tff(c_2809,plain,
    ! [X_20] : ( s(s(s(X_20))) = X_20 ),
    inference(cnfTransformation,[status(thm)],[f_48]) ).

tff(c_2920,plain,
    s(s(index_114)) = index_111,
    inference(superposition,[status(thm),theory(equality)],[c_210,c_2809]) ).

tff(c_12,plain,
    ! [X_8] : ( p(s(X_8)) = X_8 ),
    inference(cnfTransformation,[status(thm)],[f_38]) ).

tff(c_4284,plain,
    s(index_114) = p(index_111),
    inference(superposition,[status(thm),theory(equality)],[c_2920,c_12]) ).

tff(c_8951,plain,
    s(index_114) = p(index_108),
    inference(demodulation,[status(thm),theory(equality)],[c_8944,c_4284]) ).

tff(c_8957,plain,
    s(index_114) = index_105,
    inference(demodulation,[status(thm),theory(equality)],[c_1425,c_8951]) ).

tff(c_10452,plain,
    s(index_114) = index_102,
    inference(demodulation,[status(thm),theory(equality)],[c_10446,c_8957]) ).

tff(c_8955,plain,
    s(index_108) = index_114,
    inference(demodulation,[status(thm),theory(equality)],[c_8944,c_210]) ).

tff(c_10457,plain,
    s(index_102) = index_108,
    inference(demodulation,[status(thm),theory(equality)],[c_10446,c_206]) ).

tff(c_592,plain,
    queue_115 = q26,
    inference(cnfTransformation,[status(thm)],[f_334]) ).

tff(c_394,plain,
    store(queue_113,tail,index_114) = queue_115,
    inference(cnfTransformation,[status(thm)],[f_235]) ).

tff(c_683,plain,
    store(queue_113,tail,index_114) = q26,
    inference(demodulation,[status(thm),theory(equality)],[c_592,c_394]) ).

tff(c_7758,plain,
    select(q26,tail) = index_114,
    inference(superposition,[status(thm),theory(equality)],[c_683,c_7581]) ).

tff(c_212,plain,
    select(q26,tail) = index_117,
    inference(cnfTransformation,[status(thm)],[f_144]) ).

tff(c_11745,plain,
    index_117 = index_114,
    inference(demodulation,[status(thm),theory(equality)],[c_7758,c_212]) ).

tff(c_216,plain,
    s(index_117) = index_120,
    inference(cnfTransformation,[status(thm)],[f_146]) ).

tff(c_11763,plain,
    s(index_114) = index_120,
    inference(demodulation,[status(thm),theory(equality)],[c_11745,c_216]) ).

tff(c_11765,plain,
    index_120 = index_102,
    inference(demodulation,[status(thm),theory(equality)],[c_10452,c_11763]) ).

tff(c_594,plain,
    queue_121 = q27,
    inference(cnfTransformation,[status(thm)],[f_335]) ).

tff(c_398,plain,
    store(queue_119,tail,index_120) = queue_121,
    inference(cnfTransformation,[status(thm)],[f_237]) ).

tff(c_682,plain,
    store(queue_119,tail,index_120) = q27,
    inference(demodulation,[status(thm),theory(equality)],[c_594,c_398]) ).

tff(c_7770,plain,
    select(q27,tail) = index_120,
    inference(superposition,[status(thm),theory(equality)],[c_682,c_7581]) ).

tff(c_218,plain,
    select(q27,tail) = index_123,
    inference(cnfTransformation,[status(thm)],[f_147]) ).

tff(c_9234,plain,
    index_123 = index_120,
    inference(demodulation,[status(thm),theory(equality)],[c_7770,c_218]) ).

tff(c_220,plain,
    s(index_123) = index_126,
    inference(cnfTransformation,[status(thm)],[f_148]) ).

tff(c_9245,plain,
    s(index_120) = index_126,
    inference(demodulation,[status(thm),theory(equality)],[c_9234,c_220]) ).

tff(c_11825,plain,
    s(index_102) = index_126,
    inference(demodulation,[status(thm),theory(equality)],[c_11765,c_9245]) ).

tff(c_11831,plain,
    index_126 = index_108,
    inference(demodulation,[status(thm),theory(equality)],[c_10457,c_11825]) ).

tff(c_1392,plain,
    p(index_126) = index_123,
    inference(superposition,[status(thm),theory(equality)],[c_220,c_1377]) ).

tff(c_9243,plain,
    p(index_126) = index_120,
    inference(demodulation,[status(thm),theory(equality)],[c_9234,c_1392]) ).

tff(c_596,plain,
    queue_127 = q28,
    inference(cnfTransformation,[status(thm)],[f_336]) ).

tff(c_402,plain,
    store(queue_125,tail,index_126) = queue_127,
    inference(cnfTransformation,[status(thm)],[f_239]) ).

tff(c_681,plain,
    store(queue_125,tail,index_126) = q28,
    inference(demodulation,[status(thm),theory(equality)],[c_596,c_402]) ).

tff(c_7908,plain,
    select(q28,tail) = index_126,
    inference(superposition,[status(thm),theory(equality)],[c_681,c_7581]) ).

tff(c_222,plain,
    select(q28,tail) = index_129,
    inference(cnfTransformation,[status(thm)],[f_149]) ).

tff(c_10682,plain,
    index_129 = index_126,
    inference(demodulation,[status(thm),theory(equality)],[c_7908,c_222]) ).

tff(c_598,plain,
    queue_133 = q29,
    inference(cnfTransformation,[status(thm)],[f_337]) ).

tff(c_408,plain,
    store(queue_131,tail,index_132) = queue_133,
    inference(cnfTransformation,[status(thm)],[f_242]) ).

tff(c_679,plain,
    store(queue_131,tail,index_132) = q29,
    inference(demodulation,[status(thm),theory(equality)],[c_598,c_408]) ).

tff(c_7611,plain,
    select(q29,tail) = index_132,
    inference(superposition,[status(thm),theory(equality)],[c_679,c_7581]) ).

tff(c_230,plain,
    select(q29,tail) = index_141,
    inference(cnfTransformation,[status(thm)],[f_153]) ).

tff(c_8716,plain,
    index_141 = index_132,
    inference(demodulation,[status(thm),theory(equality)],[c_7611,c_230]) ).

tff(c_232,plain,
    s(index_141) = index_144,
    inference(cnfTransformation,[status(thm)],[f_154]) ).

tff(c_8728,plain,
    s(index_132) = index_144,
    inference(demodulation,[status(thm),theory(equality)],[c_8716,c_232]) ).

tff(c_224,plain,
    s(index_129) = index_132,
    inference(cnfTransformation,[status(thm)],[f_150]) ).

tff(c_2872,plain,
    s(s(index_132)) = index_129,
    inference(superposition,[status(thm),theory(equality)],[c_224,c_2809]) ).

tff(c_3357,plain,
    s(index_132) = p(index_129),
    inference(superposition,[status(thm),theory(equality)],[c_2872,c_12]) ).

tff(c_8767,plain,
    p(index_129) = index_144,
    inference(demodulation,[status(thm),theory(equality)],[c_8728,c_3357]) ).

tff(c_10688,plain,
    p(index_126) = index_144,
    inference(demodulation,[status(thm),theory(equality)],[c_10682,c_8767]) ).

tff(c_10697,plain,
    index_144 = index_120,
    inference(demodulation,[status(thm),theory(equality)],[c_9243,c_10688]) ).

tff(c_1404,plain,
    p(index_144) = index_141,
    inference(superposition,[status(thm),theory(equality)],[c_232,c_1377]) ).

tff(c_602,plain,
    queue_145 = q30,
    inference(cnfTransformation,[status(thm)],[f_339]) ).

tff(c_416,plain,
    store(queue_143,tail,index_144) = queue_145,
    inference(cnfTransformation,[status(thm)],[f_246]) ).

tff(c_677,plain,
    store(queue_143,tail,index_144) = q30,
    inference(demodulation,[status(thm),theory(equality)],[c_602,c_416]) ).

tff(c_7683,plain,
    select(q30,tail) = index_144,
    inference(superposition,[status(thm),theory(equality)],[c_677,c_7581]) ).

tff(c_234,plain,
    select(q30,tail) = index_147,
    inference(cnfTransformation,[status(thm)],[f_155]) ).

tff(c_8472,plain,
    index_147 = index_144,
    inference(demodulation,[status(thm),theory(equality)],[c_7683,c_234]) ).

tff(c_238,plain,
    s(index_147) = index_150,
    inference(cnfTransformation,[status(thm)],[f_157]) ).

tff(c_2848,plain,
    s(s(index_150)) = index_147,
    inference(superposition,[status(thm),theory(equality)],[c_238,c_2809]) ).

tff(c_2997,plain,
    s(index_150) = p(index_147),
    inference(superposition,[status(thm),theory(equality)],[c_2848,c_12]) ).

tff(c_8478,plain,
    s(index_150) = p(index_144),
    inference(demodulation,[status(thm),theory(equality)],[c_8472,c_2997]) ).

tff(c_8485,plain,
    s(index_150) = index_141,
    inference(demodulation,[status(thm),theory(equality)],[c_1404,c_8478]) ).

tff(c_604,plain,
    queue_151 = q31,
    inference(cnfTransformation,[status(thm)],[f_340]) ).

tff(c_420,plain,
    store(queue_149,tail,index_150) = queue_151,
    inference(cnfTransformation,[status(thm)],[f_248]) ).

tff(c_676,plain,
    store(queue_149,tail,index_150) = q31,
    inference(demodulation,[status(thm),theory(equality)],[c_604,c_420]) ).

tff(c_7686,plain,
    select(q31,tail) = index_150,
    inference(superposition,[status(thm),theory(equality)],[c_676,c_7581]) ).

tff(c_240,plain,
    select(q31,tail) = index_153,
    inference(cnfTransformation,[status(thm)],[f_158]) ).

tff(c_8682,plain,
    index_153 = index_150,
    inference(demodulation,[status(thm),theory(equality)],[c_7686,c_240]) ).

tff(c_242,plain,
    s(index_153) = index_156,
    inference(cnfTransformation,[status(thm)],[f_159]) ).

tff(c_8693,plain,
    s(index_150) = index_156,
    inference(demodulation,[status(thm),theory(equality)],[c_8682,c_242]) ).

tff(c_8697,plain,
    index_156 = index_141,
    inference(demodulation,[status(thm),theory(equality)],[c_8485,c_8693]) ).

tff(c_8721,plain,
    index_156 = index_132,
    inference(demodulation,[status(thm),theory(equality)],[c_8716,c_8697]) ).

tff(c_606,plain,
    queue_157 = q32,
    inference(cnfTransformation,[status(thm)],[f_341]) ).

tff(c_424,plain,
    store(queue_155,tail,index_156) = queue_157,
    inference(cnfTransformation,[status(thm)],[f_250]) ).

tff(c_675,plain,
    store(queue_155,tail,index_156) = q32,
    inference(demodulation,[status(thm),theory(equality)],[c_606,c_424]) ).

tff(c_7659,plain,
    select(q32,tail) = index_156,
    inference(superposition,[status(thm),theory(equality)],[c_675,c_7581]) ).

tff(c_9792,plain,
    select(q32,tail) = index_132,
    inference(demodulation,[status(thm),theory(equality)],[c_8721,c_7659]) ).

tff(c_244,plain,
    select(q32,tail) = index_159,
    inference(cnfTransformation,[status(thm)],[f_160]) ).

tff(c_9793,plain,
    index_159 = index_132,
    inference(demodulation,[status(thm),theory(equality)],[c_9792,c_244]) ).

tff(c_246,plain,
    s(index_159) = index_162,
    inference(cnfTransformation,[status(thm)],[f_161]) ).

tff(c_9804,plain,
    s(index_132) = index_162,
    inference(demodulation,[status(thm),theory(equality)],[c_9793,c_246]) ).

tff(c_9808,plain,
    index_162 = index_144,
    inference(demodulation,[status(thm),theory(equality)],[c_8728,c_9804]) ).

tff(c_10703,plain,
    index_162 = index_120,
    inference(demodulation,[status(thm),theory(equality)],[c_10697,c_9808]) ).

tff(c_608,plain,
    queue_163 = q33,
    inference(cnfTransformation,[status(thm)],[f_342]) ).

tff(c_428,plain,
    store(queue_161,tail,index_162) = queue_163,
    inference(cnfTransformation,[status(thm)],[f_252]) ).

tff(c_674,plain,
    store(queue_161,tail,index_162) = q33,
    inference(demodulation,[status(thm),theory(equality)],[c_608,c_428]) ).

tff(c_7674,plain,
    select(q33,tail) = index_162,
    inference(superposition,[status(thm),theory(equality)],[c_674,c_7581]) ).

tff(c_248,plain,
    select(q33,tail) = index_165,
    inference(cnfTransformation,[status(thm)],[f_162]) ).

tff(c_10754,plain,
    index_165 = index_162,
    inference(demodulation,[status(thm),theory(equality)],[c_7674,c_248]) ).

tff(c_250,plain,
    s(index_165) = index_168,
    inference(cnfTransformation,[status(thm)],[f_163]) ).

tff(c_10765,plain,
    s(index_162) = index_168,
    inference(demodulation,[status(thm),theory(equality)],[c_10754,c_250]) ).

tff(c_10782,plain,
    index_168 = index_126,
    inference(demodulation,[status(thm),theory(equality)],[c_9245,c_10703,c_10765]) ).

tff(c_11859,plain,
    index_168 = index_108,
    inference(demodulation,[status(thm),theory(equality)],[c_11831,c_10782]) ).

tff(c_610,plain,
    queue_169 = q34,
    inference(cnfTransformation,[status(thm)],[f_343]) ).

tff(c_432,plain,
    store(queue_167,tail,index_168) = queue_169,
    inference(cnfTransformation,[status(thm)],[f_254]) ).

tff(c_673,plain,
    store(queue_167,tail,index_168) = q34,
    inference(demodulation,[status(thm),theory(equality)],[c_610,c_432]) ).

tff(c_7734,plain,
    select(q34,tail) = index_168,
    inference(superposition,[status(thm),theory(equality)],[c_673,c_7581]) ).

tff(c_11978,plain,
    select(q34,tail) = index_108,
    inference(demodulation,[status(thm),theory(equality)],[c_11859,c_7734]) ).

tff(c_252,plain,
    select(q34,tail) = index_171,
    inference(cnfTransformation,[status(thm)],[f_164]) ).

tff(c_11979,plain,
    index_171 = index_108,
    inference(demodulation,[status(thm),theory(equality)],[c_11978,c_252]) ).

tff(c_254,plain,
    s(index_171) = index_174,
    inference(cnfTransformation,[status(thm)],[f_165]) ).

tff(c_11999,plain,
    s(index_108) = index_174,
    inference(demodulation,[status(thm),theory(equality)],[c_11979,c_254]) ).

tff(c_12001,plain,
    index_174 = index_114,
    inference(demodulation,[status(thm),theory(equality)],[c_8955,c_11999]) ).

tff(c_612,plain,
    queue_175 = q35,
    inference(cnfTransformation,[status(thm)],[f_344]) ).

tff(c_438,plain,
    store(queue_173,tail,index_174) = queue_175,
    inference(cnfTransformation,[status(thm)],[f_257]) ).

tff(c_672,plain,
    store(queue_173,tail,index_174) = q35,
    inference(demodulation,[status(thm),theory(equality)],[c_612,c_438]) ).

tff(c_7830,plain,
    select(q35,tail) = index_174,
    inference(superposition,[status(thm),theory(equality)],[c_672,c_7581]) ).

tff(c_256,plain,
    select(q35,tail) = index_177,
    inference(cnfTransformation,[status(thm)],[f_166]) ).

tff(c_10301,plain,
    index_177 = index_174,
    inference(demodulation,[status(thm),theory(equality)],[c_7830,c_256]) ).

tff(c_260,plain,
    s(index_177) = index_180,
    inference(cnfTransformation,[status(thm)],[f_168]) ).

tff(c_10313,plain,
    s(index_174) = index_180,
    inference(demodulation,[status(thm),theory(equality)],[c_10301,c_260]) ).

tff(c_12027,plain,
    s(index_114) = index_180,
    inference(demodulation,[status(thm),theory(equality)],[c_12001,c_10313]) ).

tff(c_12033,plain,
    index_180 = index_102,
    inference(demodulation,[status(thm),theory(equality)],[c_10452,c_12027]) ).

tff(c_1419,plain,
    p(index_174) = index_171,
    inference(superposition,[status(thm),theory(equality)],[c_254,c_1377]) ).

tff(c_614,plain,
    queue_181 = q36,
    inference(cnfTransformation,[status(thm)],[f_345]) ).

tff(c_442,plain,
    store(queue_179,tail,index_180) = queue_181,
    inference(cnfTransformation,[status(thm)],[f_259]) ).

tff(c_671,plain,
    store(queue_179,tail,index_180) = q36,
    inference(demodulation,[status(thm),theory(equality)],[c_614,c_442]) ).

tff(c_7614,plain,
    select(q36,tail) = index_180,
    inference(superposition,[status(thm),theory(equality)],[c_671,c_7581]) ).

tff(c_262,plain,
    select(q36,tail) = index_183,
    inference(cnfTransformation,[status(thm)],[f_169]) ).

tff(c_9934,plain,
    index_183 = index_180,
    inference(demodulation,[status(thm),theory(equality)],[c_7614,c_262]) ).

tff(c_264,plain,
    s(index_183) = index_186,
    inference(cnfTransformation,[status(thm)],[f_170]) ).

tff(c_9945,plain,
    s(index_180) = index_186,
    inference(demodulation,[status(thm),theory(equality)],[c_9934,c_264]) ).

tff(c_2863,plain,
    s(s(index_180)) = index_177,
    inference(superposition,[status(thm),theory(equality)],[c_260,c_2809]) ).

tff(c_3266,plain,
    s(index_180) = p(index_177),
    inference(superposition,[status(thm),theory(equality)],[c_2863,c_12]) ).

tff(c_9953,plain,
    p(index_177) = index_186,
    inference(demodulation,[status(thm),theory(equality)],[c_9945,c_3266]) ).

tff(c_10306,plain,
    p(index_174) = index_186,
    inference(demodulation,[status(thm),theory(equality)],[c_10301,c_9953]) ).

tff(c_10314,plain,
    index_186 = index_171,
    inference(demodulation,[status(thm),theory(equality)],[c_1419,c_10306]) ).

tff(c_1395,plain,
    p(index_186) = index_183,
    inference(superposition,[status(thm),theory(equality)],[c_264,c_1377]) ).

tff(c_9943,plain,
    p(index_186) = index_180,
    inference(demodulation,[status(thm),theory(equality)],[c_9934,c_1395]) ).

tff(c_10319,plain,
    p(index_171) = index_180,
    inference(demodulation,[status(thm),theory(equality)],[c_10314,c_9943]) ).

tff(c_616,plain,
    queue_187 = q37,
    inference(cnfTransformation,[status(thm)],[f_346]) ).

tff(c_446,plain,
    store(queue_185,tail,index_186) = queue_187,
    inference(cnfTransformation,[status(thm)],[f_261]) ).

tff(c_670,plain,
    store(queue_185,tail,index_186) = q37,
    inference(demodulation,[status(thm),theory(equality)],[c_616,c_446]) ).

tff(c_7704,plain,
    select(q37,tail) = index_186,
    inference(superposition,[status(thm),theory(equality)],[c_670,c_7581]) ).

tff(c_11067,plain,
    select(q37,tail) = index_171,
    inference(demodulation,[status(thm),theory(equality)],[c_10314,c_7704]) ).

tff(c_266,plain,
    select(q37,tail) = index_189,
    inference(cnfTransformation,[status(thm)],[f_171]) ).

tff(c_11068,plain,
    index_189 = index_171,
    inference(demodulation,[status(thm),theory(equality)],[c_11067,c_266]) ).

tff(c_268,plain,
    s(index_189) = index_192,
    inference(cnfTransformation,[status(thm)],[f_172]) ).

tff(c_1407,plain,
    p(index_192) = index_189,
    inference(superposition,[status(thm),theory(equality)],[c_268,c_1377]) ).

tff(c_618,plain,
    queue_193 = q38,
    inference(cnfTransformation,[status(thm)],[f_347]) ).

tff(c_452,plain,
    store(queue_191,tail,index_192) = queue_193,
    inference(cnfTransformation,[status(thm)],[f_264]) ).

tff(c_668,plain,
    store(queue_191,tail,index_192) = q38,
    inference(demodulation,[status(thm),theory(equality)],[c_618,c_452]) ).

tff(c_7605,plain,
    select(q38,tail) = index_192,
    inference(superposition,[status(thm),theory(equality)],[c_668,c_7581]) ).

tff(c_270,plain,
    select(q38,tail) = index_195,
    inference(cnfTransformation,[status(thm)],[f_173]) ).

tff(c_10832,plain,
    index_195 = index_192,
    inference(demodulation,[status(thm),theory(equality)],[c_7605,c_270]) ).

tff(c_620,plain,
    queue_199 = q39,
    inference(cnfTransformation,[status(thm)],[f_348]) ).

tff(c_456,plain,
    store(queue_197,tail,index_198) = queue_199,
    inference(cnfTransformation,[status(thm)],[f_266]) ).

tff(c_667,plain,
    store(queue_197,tail,index_198) = q39,
    inference(demodulation,[status(thm),theory(equality)],[c_620,c_456]) ).

tff(c_7875,plain,
    select(q39,tail) = index_198,
    inference(superposition,[status(thm),theory(equality)],[c_667,c_7581]) ).

tff(c_278,plain,
    select(q39,tail) = index_207,
    inference(cnfTransformation,[status(thm)],[f_177]) ).

tff(c_10030,plain,
    index_207 = index_198,
    inference(demodulation,[status(thm),theory(equality)],[c_7875,c_278]) ).

tff(c_282,plain,
    s(index_207) = index_210,
    inference(cnfTransformation,[status(thm)],[f_179]) ).

tff(c_10041,plain,
    s(index_198) = index_210,
    inference(demodulation,[status(thm),theory(equality)],[c_10030,c_282]) ).

tff(c_272,plain,
    s(index_195) = index_198,
    inference(cnfTransformation,[status(thm)],[f_174]) ).

tff(c_2884,plain,
    s(s(index_198)) = index_195,
    inference(superposition,[status(thm),theory(equality)],[c_272,c_2809]) ).

tff(c_3688,plain,
    s(index_198) = p(index_195),
    inference(superposition,[status(thm),theory(equality)],[c_2884,c_12]) ).

tff(c_10063,plain,
    p(index_195) = index_210,
    inference(demodulation,[status(thm),theory(equality)],[c_10041,c_3688]) ).

tff(c_10837,plain,
    p(index_192) = index_210,
    inference(demodulation,[status(thm),theory(equality)],[c_10832,c_10063]) ).

tff(c_10845,plain,
    index_210 = index_189,
    inference(demodulation,[status(thm),theory(equality)],[c_1407,c_10837]) ).

tff(c_11076,plain,
    index_210 = index_171,
    inference(demodulation,[status(thm),theory(equality)],[c_11068,c_10845]) ).

tff(c_624,plain,
    queue_211 = q40,
    inference(cnfTransformation,[status(thm)],[f_350]) ).

tff(c_464,plain,
    store(queue_209,tail,index_210) = queue_211,
    inference(cnfTransformation,[status(thm)],[f_270]) ).

tff(c_665,plain,
    store(queue_209,tail,index_210) = q40,
    inference(demodulation,[status(thm),theory(equality)],[c_624,c_464]) ).

tff(c_7668,plain,
    select(q40,tail) = index_210,
    inference(superposition,[status(thm),theory(equality)],[c_665,c_7581]) ).

tff(c_11308,plain,
    select(q40,tail) = index_171,
    inference(demodulation,[status(thm),theory(equality)],[c_11076,c_7668]) ).

tff(c_284,plain,
    select(q40,tail) = index_213,
    inference(cnfTransformation,[status(thm)],[f_180]) ).

tff(c_11309,plain,
    index_213 = index_171,
    inference(demodulation,[status(thm),theory(equality)],[c_11308,c_284]) ).

tff(c_626,plain,
    queue_217 = q41,
    inference(cnfTransformation,[status(thm)],[f_351]) ).

tff(c_468,plain,
    store(queue_215,tail,index_216) = queue_217,
    inference(cnfTransformation,[status(thm)],[f_272]) ).

tff(c_664,plain,
    store(queue_215,tail,index_216) = q41,
    inference(demodulation,[status(thm),theory(equality)],[c_626,c_468]) ).

tff(c_7959,plain,
    select(q41,tail) = index_216,
    inference(superposition,[status(thm),theory(equality)],[c_664,c_7581]) ).

tff(c_288,plain,
    select(q41,tail) = index_219,
    inference(cnfTransformation,[status(thm)],[f_182]) ).

tff(c_8841,plain,
    index_219 = index_216,
    inference(demodulation,[status(thm),theory(equality)],[c_7959,c_288]) ).

tff(c_290,plain,
    s(index_219) = index_222,
    inference(cnfTransformation,[status(thm)],[f_183]) ).

tff(c_8852,plain,
    s(index_216) = index_222,
    inference(demodulation,[status(thm),theory(equality)],[c_8841,c_290]) ).

tff(c_286,plain,
    s(index_213) = index_216,
    inference(cnfTransformation,[status(thm)],[f_181]) ).

tff(c_2908,plain,
    s(s(index_216)) = index_213,
    inference(superposition,[status(thm),theory(equality)],[c_286,c_2809]) ).

tff(c_4044,plain,
    s(index_216) = p(index_213),
    inference(superposition,[status(thm),theory(equality)],[c_2908,c_12]) ).

tff(c_8874,plain,
    p(index_213) = index_222,
    inference(demodulation,[status(thm),theory(equality)],[c_8852,c_4044]) ).

tff(c_11316,plain,
    p(index_171) = index_222,
    inference(demodulation,[status(thm),theory(equality)],[c_11309,c_8874]) ).

tff(c_11323,plain,
    index_222 = index_180,
    inference(demodulation,[status(thm),theory(equality)],[c_10319,c_11316]) ).

tff(c_628,plain,
    queue_223 = q42,
    inference(cnfTransformation,[status(thm)],[f_352]) ).

tff(c_472,plain,
    store(queue_221,tail,index_222) = queue_223,
    inference(cnfTransformation,[status(thm)],[f_274]) ).

tff(c_663,plain,
    store(queue_221,tail,index_222) = q42,
    inference(demodulation,[status(thm),theory(equality)],[c_628,c_472]) ).

tff(c_7632,plain,
    select(q42,tail) = index_222,
    inference(superposition,[status(thm),theory(equality)],[c_663,c_7581]) ).

tff(c_292,plain,
    select(q42,tail) = index_225,
    inference(cnfTransformation,[status(thm)],[f_184]) ).

tff(c_10243,plain,
    index_225 = index_222,
    inference(demodulation,[status(thm),theory(equality)],[c_7632,c_292]) ).

tff(c_11333,plain,
    index_225 = index_180,
    inference(demodulation,[status(thm),theory(equality)],[c_11323,c_10243]) ).

tff(c_118,plain,
    store(earray_224,index_225,e42) = earray_226,
    inference(cnfTransformation,[status(thm)],[f_97]) ).

tff(c_7857,plain,
    select(earray_226,index_225) = e42,
    inference(superposition,[status(thm),theory(equality)],[c_118,c_7581]) ).

tff(c_11381,plain,
    select(earray_226,index_180) = e42,
    inference(demodulation,[status(thm),theory(equality)],[c_11333,c_7857]) ).

tff(c_12054,plain,
    select(earray_226,index_102) = e42,
    inference(demodulation,[status(thm),theory(equality)],[c_12033,c_11381]) ).

tff(c_10,plain,
    tail != seq,
    inference(cnfTransformation,[status(thm)],[f_36]) ).

tff(c_142,plain,
    select(q43,seq) = earray_260,
    inference(cnfTransformation,[status(thm)],[f_109]) ).

tff(c_630,plain,
    queue_229 = q43,
    inference(cnfTransformation,[status(thm)],[f_353]) ).

tff(c_476,plain,
    store(queue_227,tail,index_228) = queue_229,
    inference(cnfTransformation,[status(thm)],[f_276]) ).

tff(c_662,plain,
    store(queue_227,tail,index_228) = q43,
    inference(demodulation,[status(thm),theory(equality)],[c_630,c_476]) ).

tff(c_7982,plain,
    ! [A_26,I_27,E_28,J_29] :
      ( ( select(store(A_26,I_27,E_28),J_29) = select(A_26,J_29) )
      | ( J_29 = I_27 ) ),
    inference(cnfTransformation,[status(thm)],[f_30]) ).

tff(c_14383,plain,
    ! [J_38] :
      ( ( select(queue_227,J_38) = select(q43,J_38) )
      | ( tail = J_38 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_662,c_7982]) ).

tff(c_474,plain,
    store(q42,seq,earray_226) = queue_227,
    inference(cnfTransformation,[status(thm)],[f_275]) ).

tff(c_7650,plain,
    select(queue_227,seq) = earray_226,
    inference(superposition,[status(thm),theory(equality)],[c_474,c_7581]) ).

tff(c_14389,plain,
    ( ( select(q43,seq) = earray_226 )
    | ( tail = seq ) ),
    inference(superposition,[status(thm),theory(equality)],[c_14383,c_7650]) ).

tff(c_14397,plain,
    ( ( earray_260 = earray_226 )
    | ( tail = seq ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_142,c_14389]) ).

tff(c_14398,plain,
    earray_260 = earray_226,
    inference(negUnitSimplification,[status(thm)],[c_10,c_14397]) ).

tff(c_10455,plain,
    p(index_108) = index_102,
    inference(demodulation,[status(thm),theory(equality)],[c_10446,c_1425]) ).

tff(c_1446,plain,
    p(index_216) = index_213,
    inference(superposition,[status(thm),theory(equality)],[c_286,c_1377]) ).

tff(c_2893,plain,
    s(s(index_222)) = index_219,
    inference(superposition,[status(thm),theory(equality)],[c_290,c_2809]) ).

tff(c_3866,plain,
    s(index_222) = p(index_219),
    inference(superposition,[status(thm),theory(equality)],[c_2893,c_12]) ).

tff(c_8848,plain,
    s(index_222) = p(index_216),
    inference(demodulation,[status(thm),theory(equality)],[c_8841,c_3866]) ).

tff(c_8854,plain,
    s(index_222) = index_213,
    inference(demodulation,[status(thm),theory(equality)],[c_1446,c_8848]) ).

tff(c_294,plain,
    s(index_225) = index_228,
    inference(cnfTransformation,[status(thm)],[f_185]) ).

tff(c_10254,plain,
    s(index_222) = index_228,
    inference(demodulation,[status(thm),theory(equality)],[c_10243,c_294]) ).

tff(c_10258,plain,
    index_228 = index_213,
    inference(demodulation,[status(thm),theory(equality)],[c_8854,c_10254]) ).

tff(c_11315,plain,
    index_228 = index_171,
    inference(demodulation,[status(thm),theory(equality)],[c_11309,c_10258]) ).

tff(c_11986,plain,
    index_228 = index_108,
    inference(demodulation,[status(thm),theory(equality)],[c_11979,c_11315]) ).

tff(c_7845,plain,
    select(q43,tail) = index_228,
    inference(superposition,[status(thm),theory(equality)],[c_662,c_7581]) ).

tff(c_12109,plain,
    select(q43,tail) = index_108,
    inference(demodulation,[status(thm),theory(equality)],[c_11986,c_7845]) ).

tff(c_320,plain,
    select(q43,tail) = index_263,
    inference(cnfTransformation,[status(thm)],[f_198]) ).

tff(c_12110,plain,
    index_263 = index_108,
    inference(demodulation,[status(thm),theory(equality)],[c_12109,c_320]) ).

tff(c_322,plain,
    s(index_264) = index_263,
    inference(cnfTransformation,[status(thm)],[f_199]) ).

tff(c_1485,plain,
    p(index_263) = index_264,
    inference(superposition,[status(thm),theory(equality)],[c_322,c_1377]) ).

tff(c_12127,plain,
    p(index_108) = index_264,
    inference(demodulation,[status(thm),theory(equality)],[c_12110,c_1485]) ).

tff(c_12131,plain,
    index_264 = index_102,
    inference(demodulation,[status(thm),theory(equality)],[c_10455,c_12127]) ).

tff(c_198,plain,
    select(earray_260,index_264) = elem_265,
    inference(cnfTransformation,[status(thm)],[f_137]) ).

tff(c_12136,plain,
    select(earray_260,index_102) = elem_265,
    inference(demodulation,[status(thm),theory(equality)],[c_12131,c_198]) ).

tff(c_14402,plain,
    select(earray_226,index_102) = elem_265,
    inference(demodulation,[status(thm),theory(equality)],[c_14398,c_12136]) ).

tff(c_14405,plain,
    elem_265 = e42,
    inference(demodulation,[status(thm),theory(equality)],[c_12054,c_14402]) ).

tff(c_642,plain,
    elem_265 != elem_262,
    inference(cnfTransformation,[status(thm)],[f_360]) ).

tff(c_14411,plain,
    elem_262 != e42,
    inference(demodulation,[status(thm),theory(equality)],[c_14405,c_642]) ).

tff(c_200,plain,
    select(q,tail) = index_0,
    inference(cnfTransformation,[status(thm)],[f_138]) ).

tff(c_554,plain,
    queue_1 = q0,
    inference(cnfTransformation,[status(thm)],[f_315]) ).

tff(c_380,plain,
    store(q,head,index_0) = queue_1,
    inference(cnfTransformation,[status(thm)],[f_228]) ).

tff(c_686,plain,
    store(q,head,index_0) = q0,
    inference(demodulation,[status(thm),theory(equality)],[c_554,c_380]) ).

tff(c_14673,plain,
    ! [J_45] :
      ( ( select(q0,J_45) = select(q,J_45) )
      | ( head = J_45 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_686,c_7982]) ).

tff(c_640,plain,
    queue_259 = q9,
    inference(cnfTransformation,[status(thm)],[f_358]) ).

tff(c_500,plain,
    store(queue_257,tail,index_258) = queue_259,
    inference(cnfTransformation,[status(thm)],[f_288]) ).

tff(c_656,plain,
    store(queue_257,tail,index_258) = q9,
    inference(demodulation,[status(thm),theory(equality)],[c_640,c_500]) ).

tff(c_7599,plain,
    select(q9,tail) = index_258,
    inference(superposition,[status(thm),theory(equality)],[c_656,c_7581]) ).

tff(c_370,plain,
    select(q9,tail) = index_9,
    inference(cnfTransformation,[status(thm)],[f_223]) ).

tff(c_9352,plain,
    index_9 = index_258,
    inference(demodulation,[status(thm),theory(equality)],[c_7599,c_370]) ).

tff(c_214,plain,
    s(index_9) = index_12,
    inference(cnfTransformation,[status(thm)],[f_145]) ).

tff(c_9363,plain,
    s(index_258) = index_12,
    inference(demodulation,[status(thm),theory(equality)],[c_9352,c_214]) ).

tff(c_312,plain,
    s(index_249) = index_252,
    inference(cnfTransformation,[status(thm)],[f_194]) ).

tff(c_1512,plain,
    p(index_252) = index_249,
    inference(superposition,[status(thm),theory(equality)],[c_312,c_1377]) ).

tff(c_638,plain,
    queue_253 = q8,
    inference(cnfTransformation,[status(thm)],[f_357]) ).

tff(c_496,plain,
    store(queue_251,tail,index_252) = queue_253,
    inference(cnfTransformation,[status(thm)],[f_286]) ).

tff(c_657,plain,
    store(queue_251,tail,index_252) = q8,
    inference(demodulation,[status(thm),theory(equality)],[c_638,c_496]) ).

tff(c_7800,plain,
    select(q8,tail) = index_252,
    inference(superposition,[status(thm),theory(equality)],[c_657,c_7581]) ).

tff(c_314,plain,
    select(q8,tail) = index_255,
    inference(cnfTransformation,[status(thm)],[f_195]) ).

tff(c_9685,plain,
    index_255 = index_252,
    inference(demodulation,[status(thm),theory(equality)],[c_7800,c_314]) ).

tff(c_316,plain,
    s(index_255) = index_258,
    inference(cnfTransformation,[status(thm)],[f_196]) ).

tff(c_9696,plain,
    s(index_252) = index_258,
    inference(demodulation,[status(thm),theory(equality)],[c_9685,c_316]) ).

tff(c_14,plain,
    ! [X_9] : ( s(p(X_9)) = X_9 ),
    inference(cnfTransformation,[status(thm)],[f_40]) ).

tff(c_2845,plain,
    ! [X_9] : ( s(s(X_9)) = p(X_9) ),
    inference(superposition,[status(thm),theory(equality)],[c_14,c_2809]) ).

tff(c_9719,plain,
    s(index_258) = p(index_252),
    inference(superposition,[status(thm),theory(equality)],[c_9696,c_2845]) ).

tff(c_9731,plain,
    index_249 = index_12,
    inference(demodulation,[status(thm),theory(equality)],[c_9363,c_1512,c_9719]) ).

tff(c_310,plain,
    select(q7,tail) = index_249,
    inference(cnfTransformation,[status(thm)],[f_193]) ).

tff(c_9738,plain,
    select(q7,tail) = index_12,
    inference(demodulation,[status(thm),theory(equality)],[c_9731,c_310]) ).

tff(c_600,plain,
    queue_139 = q3,
    inference(cnfTransformation,[status(thm)],[f_338]) ).

tff(c_412,plain,
    store(queue_137,tail,index_138) = queue_139,
    inference(cnfTransformation,[status(thm)],[f_244]) ).

tff(c_678,plain,
    store(queue_137,tail,index_138) = q3,
    inference(demodulation,[status(thm),theory(equality)],[c_600,c_412]) ).

tff(c_7806,plain,
    select(q3,tail) = index_138,
    inference(superposition,[status(thm),theory(equality)],[c_678,c_7581]) ).

tff(c_274,plain,
    select(q3,tail) = index_201,
    inference(cnfTransformation,[status(thm)],[f_175]) ).

tff(c_9543,plain,
    index_201 = index_138,
    inference(demodulation,[status(thm),theory(equality)],[c_7806,c_274]) ).

tff(c_276,plain,
    s(index_201) = index_204,
    inference(cnfTransformation,[status(thm)],[f_176]) ).

tff(c_9554,plain,
    s(index_138) = index_204,
    inference(demodulation,[status(thm),theory(equality)],[c_9543,c_276]) ).

tff(c_228,plain,
    s(index_135) = index_138,
    inference(cnfTransformation,[status(thm)],[f_152]) ).

tff(c_1434,plain,
    p(index_138) = index_135,
    inference(superposition,[status(thm),theory(equality)],[c_228,c_1377]) ).

tff(c_622,plain,
    queue_205 = q4,
    inference(cnfTransformation,[status(thm)],[f_349]) ).

tff(c_460,plain,
    store(queue_203,tail,index_204) = queue_205,
    inference(cnfTransformation,[status(thm)],[f_268]) ).

tff(c_666,plain,
    store(queue_203,tail,index_204) = q4,
    inference(demodulation,[status(thm),theory(equality)],[c_622,c_460]) ).

tff(c_7971,plain,
    select(q4,tail) = index_204,
    inference(superposition,[status(thm),theory(equality)],[c_666,c_7581]) ).

tff(c_296,plain,
    select(q4,tail) = index_231,
    inference(cnfTransformation,[status(thm)],[f_186]) ).

tff(c_8579,plain,
    index_231 = index_204,
    inference(demodulation,[status(thm),theory(equality)],[c_7971,c_296]) ).

tff(c_298,plain,
    s(index_231) = index_234,
    inference(cnfTransformation,[status(thm)],[f_187]) ).

tff(c_8590,plain,
    s(index_204) = index_234,
    inference(demodulation,[status(thm),theory(equality)],[c_8579,c_298]) ).

tff(c_2899,plain,
    s(s(index_204)) = index_201,
    inference(superposition,[status(thm),theory(equality)],[c_276,c_2809]) ).

tff(c_3837,plain,
    s(index_204) = p(index_201),
    inference(superposition,[status(thm),theory(equality)],[c_2899,c_12]) ).

tff(c_8598,plain,
    p(index_201) = index_234,
    inference(demodulation,[status(thm),theory(equality)],[c_8590,c_3837]) ).

tff(c_9548,plain,
    p(index_138) = index_234,
    inference(demodulation,[status(thm),theory(equality)],[c_9543,c_8598]) ).

tff(c_9555,plain,
    index_234 = index_135,
    inference(demodulation,[status(thm),theory(equality)],[c_1434,c_9548]) ).

tff(c_632,plain,
    queue_235 = q5,
    inference(cnfTransformation,[status(thm)],[f_354]) ).

tff(c_482,plain,
    store(queue_233,tail,index_234) = queue_235,
    inference(cnfTransformation,[status(thm)],[f_279]) ).

tff(c_661,plain,
    store(queue_233,tail,index_234) = q5,
    inference(demodulation,[status(thm),theory(equality)],[c_632,c_482]) ).

tff(c_7866,plain,
    select(q5,tail) = index_234,
    inference(superposition,[status(thm),theory(equality)],[c_661,c_7581]) ).

tff(c_11386,plain,
    select(q5,tail) = index_135,
    inference(demodulation,[status(thm),theory(equality)],[c_9555,c_7866]) ).

tff(c_300,plain,
    select(q5,tail) = index_237,
    inference(cnfTransformation,[status(thm)],[f_188]) ).

tff(c_11387,plain,
    index_237 = index_135,
    inference(demodulation,[status(thm),theory(equality)],[c_11386,c_300]) ).

tff(c_304,plain,
    s(index_237) = index_240,
    inference(cnfTransformation,[status(thm)],[f_190]) ).

tff(c_11399,plain,
    s(index_135) = index_240,
    inference(demodulation,[status(thm),theory(equality)],[c_11387,c_304]) ).

tff(c_11401,plain,
    index_240 = index_138,
    inference(demodulation,[status(thm),theory(equality)],[c_228,c_11399]) ).

tff(c_634,plain,
    queue_241 = q6,
    inference(cnfTransformation,[status(thm)],[f_355]) ).

tff(c_486,plain,
    store(queue_239,tail,index_240) = queue_241,
    inference(cnfTransformation,[status(thm)],[f_281]) ).

tff(c_660,plain,
    store(queue_239,tail,index_240) = q6,
    inference(demodulation,[status(thm),theory(equality)],[c_634,c_486]) ).

tff(c_7641,plain,
    select(q6,tail) = index_240,
    inference(superposition,[status(thm),theory(equality)],[c_660,c_7581]) ).

tff(c_306,plain,
    select(q6,tail) = index_243,
    inference(cnfTransformation,[status(thm)],[f_191]) ).

tff(c_9831,plain,
    index_243 = index_240,
    inference(demodulation,[status(thm),theory(equality)],[c_7641,c_306]) ).

tff(c_308,plain,
    s(index_243) = index_246,
    inference(cnfTransformation,[status(thm)],[f_192]) ).

tff(c_9843,plain,
    s(index_240) = index_246,
    inference(demodulation,[status(thm),theory(equality)],[c_9831,c_308]) ).

tff(c_11412,plain,
    s(index_138) = index_246,
    inference(demodulation,[status(thm),theory(equality)],[c_11401,c_9843]) ).

tff(c_11418,plain,
    index_246 = index_204,
    inference(demodulation,[status(thm),theory(equality)],[c_9554,c_11412]) ).

tff(c_636,plain,
    queue_247 = q7,
    inference(cnfTransformation,[status(thm)],[f_356]) ).

tff(c_490,plain,
    store(queue_245,tail,index_246) = queue_247,
    inference(cnfTransformation,[status(thm)],[f_283]) ).

tff(c_659,plain,
    store(queue_245,tail,index_246) = q7,
    inference(demodulation,[status(thm),theory(equality)],[c_636,c_490]) ).

tff(c_7626,plain,
    select(q7,tail) = index_246,
    inference(superposition,[status(thm),theory(equality)],[c_659,c_7581]) ).

tff(c_12068,plain,
    select(q7,tail) = index_204,
    inference(demodulation,[status(thm),theory(equality)],[c_11418,c_7626]) ).

tff(c_12212,plain,
    index_204 = index_12,
    inference(demodulation,[status(thm),theory(equality)],[c_9738,c_12068]) ).

tff(c_226,plain,
    select(q2,tail) = index_135,
    inference(cnfTransformation,[status(thm)],[f_151]) ).

tff(c_578,plain,
    queue_73 = q2,
    inference(cnfTransformation,[status(thm)],[f_327]) ).

tff(c_536,plain,
    store(queue_71,tail,index_72) = queue_73,
    inference(cnfTransformation,[status(thm)],[f_306]) ).

tff(c_647,plain,
    store(queue_71,tail,index_72) = q2,
    inference(demodulation,[status(thm),theory(equality)],[c_578,c_536]) ).

tff(c_7728,plain,
    select(q2,tail) = index_72,
    inference(superposition,[status(thm),theory(equality)],[c_647,c_7581]) ).

tff(c_7980,plain,
    index_72 = index_135,
    inference(demodulation,[status(thm),theory(equality)],[c_226,c_7728]) ).

tff(c_358,plain,
    s(index_69) = index_72,
    inference(cnfTransformation,[status(thm)],[f_217]) ).

tff(c_1497,plain,
    p(index_72) = index_69,
    inference(superposition,[status(thm),theory(equality)],[c_358,c_1377]) ).

tff(c_8394,plain,
    p(index_135) = index_69,
    inference(demodulation,[status(thm),theory(equality)],[c_7980,c_1497]) ).

tff(c_2896,plain,
    s(s(index_138)) = index_135,
    inference(superposition,[status(thm),theory(equality)],[c_228,c_2809]) ).

tff(c_4135,plain,
    s(index_138) = p(index_135),
    inference(superposition,[status(thm),theory(equality)],[c_2896,c_12]) ).

tff(c_8403,plain,
    s(index_138) = index_69,
    inference(demodulation,[status(thm),theory(equality)],[c_8394,c_4135]) ).

tff(c_9568,plain,
    index_69 = index_204,
    inference(demodulation,[status(thm),theory(equality)],[c_9554,c_8403]) ).

tff(c_8396,plain,
    s(index_69) = index_135,
    inference(demodulation,[status(thm),theory(equality)],[c_7980,c_358]) ).

tff(c_9590,plain,
    s(index_204) = index_135,
    inference(demodulation,[status(thm),theory(equality)],[c_9568,c_8396]) ).

tff(c_12220,plain,
    s(index_12) = index_135,
    inference(demodulation,[status(thm),theory(equality)],[c_12212,c_9590]) ).

tff(c_558,plain,
    queue_13 = q10,
    inference(cnfTransformation,[status(thm)],[f_317]) ).

tff(c_404,plain,
    store(queue_11,tail,index_12) = queue_13,
    inference(cnfTransformation,[status(thm)],[f_240]) ).

tff(c_680,plain,
    store(queue_11,tail,index_12) = q10,
    inference(demodulation,[status(thm),theory(equality)],[c_558,c_404]) ).

tff(c_7860,plain,
    select(q10,tail) = index_12,
    inference(superposition,[status(thm),theory(equality)],[c_680,c_7581]) ).

tff(c_236,plain,
    select(q10,tail) = index_15,
    inference(cnfTransformation,[status(thm)],[f_156]) ).

tff(c_11572,plain,
    index_15 = index_12,
    inference(demodulation,[status(thm),theory(equality)],[c_7860,c_236]) ).

tff(c_258,plain,
    s(index_15) = index_18,
    inference(cnfTransformation,[status(thm)],[f_167]) ).

tff(c_11588,plain,
    s(index_12) = index_18,
    inference(demodulation,[status(thm),theory(equality)],[c_11572,c_258]) ).

tff(c_12257,plain,
    index_18 = index_135,
    inference(demodulation,[status(thm),theory(equality)],[c_12220,c_11588]) ).

tff(c_202,plain,
    s(index_99) = index_102,
    inference(cnfTransformation,[status(thm)],[f_139]) ).

tff(c_1464,plain,
    p(index_102) = index_99,
    inference(superposition,[status(thm),theory(equality)],[c_202,c_1377]) ).

tff(c_10466,plain,
    s(index_108) = p(index_102),
    inference(superposition,[status(thm),theory(equality)],[c_10457,c_2845]) ).

tff(c_10478,plain,
    index_99 = index_114,
    inference(demodulation,[status(thm),theory(equality)],[c_8955,c_1464,c_10466]) ).

tff(c_378,plain,
    select(q23,tail) = index_99,
    inference(cnfTransformation,[status(thm)],[f_227]) ).

tff(c_10486,plain,
    select(q23,tail) = index_114,
    inference(demodulation,[status(thm),theory(equality)],[c_10478,c_378]) ).

tff(c_560,plain,
    queue_19 = q11,
    inference(cnfTransformation,[status(thm)],[f_318]) ).

tff(c_448,plain,
    store(queue_17,tail,index_18) = queue_19,
    inference(cnfTransformation,[status(thm)],[f_262]) ).

tff(c_669,plain,
    store(queue_17,tail,index_18) = q11,
    inference(demodulation,[status(thm),theory(equality)],[c_560,c_448]) ).

tff(c_7935,plain,
    select(q11,tail) = index_18,
    inference(superposition,[status(thm),theory(equality)],[c_669,c_7581]) ).

tff(c_280,plain,
    select(q11,tail) = index_21,
    inference(cnfTransformation,[status(thm)],[f_178]) ).

tff(c_11134,plain,
    index_21 = index_18,
    inference(demodulation,[status(thm),theory(equality)],[c_7935,c_280]) ).

tff(c_302,plain,
    s(index_21) = index_24,
    inference(cnfTransformation,[status(thm)],[f_189]) ).

tff(c_1461,plain,
    p(index_24) = index_21,
    inference(superposition,[status(thm),theory(equality)],[c_302,c_1377]) ).

tff(c_562,plain,
    queue_25 = q12,
    inference(cnfTransformation,[status(thm)],[f_319]) ).

tff(c_492,plain,
    store(queue_23,tail,index_24) = queue_25,
    inference(cnfTransformation,[status(thm)],[f_284]) ).

tff(c_658,plain,
    store(queue_23,tail,index_24) = q12,
    inference(demodulation,[status(thm),theory(equality)],[c_562,c_492]) ).

tff(c_7689,plain,
    select(q12,tail) = index_24,
    inference(superposition,[status(thm),theory(equality)],[c_658,c_7581]) ).

tff(c_324,plain,
    select(q12,tail) = index_27,
    inference(cnfTransformation,[status(thm)],[f_200]) ).

tff(c_9405,plain,
    index_27 = index_24,
    inference(demodulation,[status(thm),theory(equality)],[c_7689,c_324]) ).

tff(c_328,plain,
    s(index_27) = index_30,
    inference(cnfTransformation,[status(thm)],[f_202]) ).

tff(c_2956,plain,
    s(s(index_30)) = index_27,
    inference(superposition,[status(thm),theory(equality)],[c_328,c_2809]) ).

tff(c_3448,plain,
    s(index_30) = p(index_27),
    inference(superposition,[status(thm),theory(equality)],[c_2956,c_12]) ).

tff(c_9411,plain,
    s(index_30) = p(index_24),
    inference(demodulation,[status(thm),theory(equality)],[c_9405,c_3448]) ).

tff(c_9418,plain,
    s(index_30) = index_21,
    inference(demodulation,[status(thm),theory(equality)],[c_1461,c_9411]) ).

tff(c_564,plain,
    queue_31 = q13,
    inference(cnfTransformation,[status(thm)],[f_320]) ).

tff(c_504,plain,
    store(queue_29,tail,index_30) = queue_31,
    inference(cnfTransformation,[status(thm)],[f_290]) ).

tff(c_655,plain,
    store(queue_29,tail,index_30) = q13,
    inference(demodulation,[status(thm),theory(equality)],[c_564,c_504]) ).

tff(c_7827,plain,
    select(q13,tail) = index_30,
    inference(superposition,[status(thm),theory(equality)],[c_655,c_7581]) ).

tff(c_330,plain,
    select(q13,tail) = index_33,
    inference(cnfTransformation,[status(thm)],[f_203]) ).

tff(c_10404,plain,
    index_33 = index_30,
    inference(demodulation,[status(thm),theory(equality)],[c_7827,c_330]) ).

tff(c_332,plain,
    s(index_33) = index_36,
    inference(cnfTransformation,[status(thm)],[f_204]) ).

tff(c_10415,plain,
    s(index_30) = index_36,
    inference(demodulation,[status(thm),theory(equality)],[c_10404,c_332]) ).

tff(c_10419,plain,
    index_36 = index_21,
    inference(demodulation,[status(thm),theory(equality)],[c_9418,c_10415]) ).

tff(c_11139,plain,
    index_36 = index_18,
    inference(demodulation,[status(thm),theory(equality)],[c_11134,c_10419]) ).

tff(c_566,plain,
    queue_37 = q14,
    inference(cnfTransformation,[status(thm)],[f_321]) ).

tff(c_508,plain,
    store(queue_35,tail,index_36) = queue_37,
    inference(cnfTransformation,[status(thm)],[f_292]) ).

tff(c_654,plain,
    store(queue_35,tail,index_36) = q14,
    inference(demodulation,[status(thm),theory(equality)],[c_566,c_508]) ).

tff(c_7947,plain,
    select(q14,tail) = index_36,
    inference(superposition,[status(thm),theory(equality)],[c_654,c_7581]) ).

tff(c_11524,plain,
    select(q14,tail) = index_18,
    inference(demodulation,[status(thm),theory(equality)],[c_11139,c_7947]) ).

tff(c_334,plain,
    select(q14,tail) = index_39,
    inference(cnfTransformation,[status(thm)],[f_205]) ).

tff(c_11525,plain,
    index_39 = index_18,
    inference(demodulation,[status(thm),theory(equality)],[c_11524,c_334]) ).

tff(c_336,plain,
    s(index_39) = index_42,
    inference(cnfTransformation,[status(thm)],[f_206]) ).

tff(c_1482,plain,
    p(index_42) = index_39,
    inference(superposition,[status(thm),theory(equality)],[c_336,c_1377]) ).

tff(c_568,plain,
    queue_43 = q15,
    inference(cnfTransformation,[status(thm)],[f_322]) ).

tff(c_512,plain,
    store(queue_41,tail,index_42) = queue_43,
    inference(cnfTransformation,[status(thm)],[f_294]) ).

tff(c_653,plain,
    store(queue_41,tail,index_42) = q15,
    inference(demodulation,[status(thm),theory(equality)],[c_568,c_512]) ).

tff(c_7869,plain,
    select(q15,tail) = index_42,
    inference(superposition,[status(thm),theory(equality)],[c_653,c_7581]) ).

tff(c_338,plain,
    select(q15,tail) = index_45,
    inference(cnfTransformation,[status(thm)],[f_207]) ).

tff(c_10559,plain,
    index_45 = index_42,
    inference(demodulation,[status(thm),theory(equality)],[c_7869,c_338]) ).

tff(c_340,plain,
    s(index_45) = index_48,
    inference(cnfTransformation,[status(thm)],[f_208]) ).

tff(c_10573,plain,
    s(index_42) = index_48,
    inference(demodulation,[status(thm),theory(equality)],[c_10559,c_340]) ).

tff(c_10594,plain,
    s(index_48) = p(index_42),
    inference(superposition,[status(thm),theory(equality)],[c_10573,c_2845]) ).

tff(c_10606,plain,
    s(index_48) = index_39,
    inference(demodulation,[status(thm),theory(equality)],[c_1482,c_10594]) ).

tff(c_570,plain,
    queue_49 = q16,
    inference(cnfTransformation,[status(thm)],[f_323]) ).

tff(c_516,plain,
    store(queue_47,tail,index_48) = queue_49,
    inference(cnfTransformation,[status(thm)],[f_296]) ).

tff(c_652,plain,
    store(queue_47,tail,index_48) = q16,
    inference(demodulation,[status(thm),theory(equality)],[c_570,c_516]) ).

tff(c_7920,plain,
    select(q16,tail) = index_48,
    inference(superposition,[status(thm),theory(equality)],[c_652,c_7581]) ).

tff(c_342,plain,
    select(q16,tail) = index_51,
    inference(cnfTransformation,[status(thm)],[f_209]) ).

tff(c_10130,plain,
    index_51 = index_48,
    inference(demodulation,[status(thm),theory(equality)],[c_7920,c_342]) ).

tff(c_344,plain,
    s(index_51) = index_54,
    inference(cnfTransformation,[status(thm)],[f_210]) ).

tff(c_1473,plain,
    p(index_54) = index_51,
    inference(superposition,[status(thm),theory(equality)],[c_344,c_1377]) ).

tff(c_572,plain,
    queue_55 = q17,
    inference(cnfTransformation,[status(thm)],[f_324]) ).

tff(c_522,plain,
    store(queue_53,tail,index_54) = queue_55,
    inference(cnfTransformation,[status(thm)],[f_299]) ).

tff(c_651,plain,
    store(queue_53,tail,index_54) = q17,
    inference(demodulation,[status(thm),theory(equality)],[c_572,c_522]) ).

tff(c_7782,plain,
    select(q17,tail) = index_54,
    inference(superposition,[status(thm),theory(equality)],[c_651,c_7581]) ).

tff(c_346,plain,
    select(q17,tail) = index_57,
    inference(cnfTransformation,[status(thm)],[f_211]) ).

tff(c_9126,plain,
    index_57 = index_54,
    inference(demodulation,[status(thm),theory(equality)],[c_7782,c_346]) ).

tff(c_574,plain,
    queue_61 = q18,
    inference(cnfTransformation,[status(thm)],[f_325]) ).

tff(c_526,plain,
    store(queue_59,tail,index_60) = queue_61,
    inference(cnfTransformation,[status(thm)],[f_301]) ).

tff(c_650,plain,
    store(queue_59,tail,index_60) = q18,
    inference(demodulation,[status(thm),theory(equality)],[c_574,c_526]) ).

tff(c_7953,plain,
    select(q18,tail) = index_60,
    inference(superposition,[status(thm),theory(equality)],[c_650,c_7581]) ).

tff(c_352,plain,
    select(q18,tail) = index_63,
    inference(cnfTransformation,[status(thm)],[f_214]) ).

tff(c_9035,plain,
    index_63 = index_60,
    inference(demodulation,[status(thm),theory(equality)],[c_7953,c_352]) ).

tff(c_354,plain,
    s(index_63) = index_66,
    inference(cnfTransformation,[status(thm)],[f_215]) ).

tff(c_9046,plain,
    s(index_60) = index_66,
    inference(demodulation,[status(thm),theory(equality)],[c_9035,c_354]) ).

tff(c_350,plain,
    s(index_57) = index_60,
    inference(cnfTransformation,[status(thm)],[f_213]) ).

tff(c_2929,plain,
    s(s(index_60)) = index_57,
    inference(superposition,[status(thm),theory(equality)],[c_350,c_2809]) ).

tff(c_3986,plain,
    s(index_60) = p(index_57),
    inference(superposition,[status(thm),theory(equality)],[c_2929,c_12]) ).

tff(c_9054,plain,
    p(index_57) = index_66,
    inference(demodulation,[status(thm),theory(equality)],[c_9046,c_3986]) ).

tff(c_9131,plain,
    p(index_54) = index_66,
    inference(demodulation,[status(thm),theory(equality)],[c_9126,c_9054]) ).

tff(c_9138,plain,
    index_66 = index_51,
    inference(demodulation,[status(thm),theory(equality)],[c_1473,c_9131]) ).

tff(c_10138,plain,
    index_66 = index_48,
    inference(demodulation,[status(thm),theory(equality)],[c_10130,c_9138]) ).

tff(c_576,plain,
    queue_67 = q19,
    inference(cnfTransformation,[status(thm)],[f_326]) ).

tff(c_530,plain,
    store(queue_65,tail,index_66) = queue_67,
    inference(cnfTransformation,[status(thm)],[f_303]) ).

tff(c_649,plain,
    store(queue_65,tail,index_66) = q19,
    inference(demodulation,[status(thm),theory(equality)],[c_576,c_530]) ).

tff(c_7899,plain,
    select(q19,tail) = index_66,
    inference(superposition,[status(thm),theory(equality)],[c_649,c_7581]) ).

tff(c_11456,plain,
    select(q19,tail) = index_48,
    inference(demodulation,[status(thm),theory(equality)],[c_10138,c_7899]) ).

tff(c_360,plain,
    select(q19,tail) = index_75,
    inference(cnfTransformation,[status(thm)],[f_218]) ).

tff(c_11457,plain,
    index_75 = index_48,
    inference(demodulation,[status(thm),theory(equality)],[c_11456,c_360]) ).

tff(c_362,plain,
    s(index_75) = index_78,
    inference(cnfTransformation,[status(thm)],[f_219]) ).

tff(c_11469,plain,
    s(index_48) = index_78,
    inference(demodulation,[status(thm),theory(equality)],[c_11457,c_362]) ).

tff(c_11473,plain,
    index_78 = index_39,
    inference(demodulation,[status(thm),theory(equality)],[c_10606,c_11469]) ).

tff(c_11530,plain,
    index_78 = index_18,
    inference(demodulation,[status(thm),theory(equality)],[c_11525,c_11473]) ).

tff(c_580,plain,
    queue_79 = q20,
    inference(cnfTransformation,[status(thm)],[f_328]) ).

tff(c_540,plain,
    store(queue_77,tail,index_78) = queue_79,
    inference(cnfTransformation,[status(thm)],[f_308]) ).

tff(c_646,plain,
    store(queue_77,tail,index_78) = q20,
    inference(demodulation,[status(thm),theory(equality)],[c_580,c_540]) ).

tff(c_7740,plain,
    select(q20,tail) = index_78,
    inference(superposition,[status(thm),theory(equality)],[c_646,c_7581]) ).

tff(c_11703,plain,
    select(q20,tail) = index_18,
    inference(demodulation,[status(thm),theory(equality)],[c_11530,c_7740]) ).

tff(c_364,plain,
    select(q20,tail) = index_81,
    inference(cnfTransformation,[status(thm)],[f_220]) ).

tff(c_11704,plain,
    index_81 = index_18,
    inference(demodulation,[status(thm),theory(equality)],[c_11703,c_364]) ).

tff(c_366,plain,
    s(index_81) = index_84,
    inference(cnfTransformation,[status(thm)],[f_221]) ).

tff(c_1506,plain,
    p(index_84) = index_81,
    inference(superposition,[status(thm),theory(equality)],[c_366,c_1377]) ).

tff(c_582,plain,
    queue_85 = q21,
    inference(cnfTransformation,[status(thm)],[f_329]) ).

tff(c_544,plain,
    store(queue_83,tail,index_84) = queue_85,
    inference(cnfTransformation,[status(thm)],[f_310]) ).

tff(c_645,plain,
    store(queue_83,tail,index_84) = q21,
    inference(demodulation,[status(thm),theory(equality)],[c_582,c_544]) ).

tff(c_7812,plain,
    select(q21,tail) = index_84,
    inference(superposition,[status(thm),theory(equality)],[c_645,c_7581]) ).

tff(c_368,plain,
    select(q21,tail) = index_87,
    inference(cnfTransformation,[status(thm)],[f_222]) ).

tff(c_10964,plain,
    index_87 = index_84,
    inference(demodulation,[status(thm),theory(equality)],[c_7812,c_368]) ).

tff(c_372,plain,
    s(index_87) = index_90,
    inference(cnfTransformation,[status(thm)],[f_224]) ).

tff(c_10976,plain,
    s(index_84) = index_90,
    inference(demodulation,[status(thm),theory(equality)],[c_10964,c_372]) ).

tff(c_10988,plain,
    s(index_90) = p(index_84),
    inference(superposition,[status(thm),theory(equality)],[c_10976,c_2845]) ).

tff(c_11000,plain,
    s(index_90) = index_81,
    inference(demodulation,[status(thm),theory(equality)],[c_1506,c_10988]) ).

tff(c_584,plain,
    queue_91 = q22,
    inference(cnfTransformation,[status(thm)],[f_330]) ).

tff(c_548,plain,
    store(queue_89,tail,index_90) = queue_91,
    inference(cnfTransformation,[status(thm)],[f_312]) ).

tff(c_644,plain,
    store(queue_89,tail,index_90) = q22,
    inference(demodulation,[status(thm),theory(equality)],[c_584,c_548]) ).

tff(c_7617,plain,
    select(q22,tail) = index_90,
    inference(superposition,[status(thm),theory(equality)],[c_644,c_7581]) ).

tff(c_374,plain,
    select(q22,tail) = index_93,
    inference(cnfTransformation,[status(thm)],[f_225]) ).

tff(c_11264,plain,
    index_93 = index_90,
    inference(demodulation,[status(thm),theory(equality)],[c_7617,c_374]) ).

tff(c_376,plain,
    s(index_93) = index_96,
    inference(cnfTransformation,[status(thm)],[f_226]) ).

tff(c_11276,plain,
    s(index_90) = index_96,
    inference(demodulation,[status(thm),theory(equality)],[c_11264,c_376]) ).

tff(c_11280,plain,
    index_96 = index_81,
    inference(demodulation,[status(thm),theory(equality)],[c_11000,c_11276]) ).

tff(c_586,plain,
    queue_97 = q23,
    inference(cnfTransformation,[status(thm)],[f_331]) ).

tff(c_552,plain,
    store(queue_95,tail,index_96) = queue_97,
    inference(cnfTransformation,[status(thm)],[f_314]) ).

tff(c_643,plain,
    store(queue_95,tail,index_96) = q23,
    inference(demodulation,[status(thm),theory(equality)],[c_586,c_552]) ).

tff(c_7923,plain,
    select(q23,tail) = index_96,
    inference(superposition,[status(thm),theory(equality)],[c_643,c_7581]) ).

tff(c_11447,plain,
    select(q23,tail) = index_81,
    inference(demodulation,[status(thm),theory(equality)],[c_11280,c_7923]) ).

tff(c_11718,plain,
    select(q23,tail) = index_18,
    inference(demodulation,[status(thm),theory(equality)],[c_11704,c_11447]) ).

tff(c_12683,plain,
    index_135 = index_114,
    inference(demodulation,[status(thm),theory(equality)],[c_12257,c_10486,c_11718]) ).

tff(c_12711,plain,
    s(index_114) = index_138,
    inference(demodulation,[status(thm),theory(equality)],[c_12683,c_228]) ).

tff(c_12713,plain,
    index_138 = index_102,
    inference(demodulation,[status(thm),theory(equality)],[c_10452,c_12711]) ).

tff(c_1437,plain,
    p(index_204) = index_201,
    inference(superposition,[status(thm),theory(equality)],[c_276,c_1377]) ).

tff(c_9552,plain,
    p(index_204) = index_138,
    inference(demodulation,[status(thm),theory(equality)],[c_9543,c_1437]) ).

tff(c_12222,plain,
    p(index_12) = index_138,
    inference(demodulation,[status(thm),theory(equality)],[c_12212,c_9552]) ).

tff(c_356,plain,
    select(q1,tail) = index_69,
    inference(cnfTransformation,[status(thm)],[f_216]) ).

tff(c_9594,plain,
    select(q1,tail) = index_204,
    inference(demodulation,[status(thm),theory(equality)],[c_9568,c_356]) ).

tff(c_12419,plain,
    select(q1,tail) = index_12,
    inference(demodulation,[status(thm),theory(equality)],[c_12212,c_9594]) ).

tff(c_556,plain,
    queue_7 = q1,
    inference(cnfTransformation,[status(thm)],[f_316]) ).

tff(c_532,plain,
    store(queue_5,tail,index_6) = queue_7,
    inference(cnfTransformation,[status(thm)],[f_304]) ).

tff(c_648,plain,
    store(queue_5,tail,index_6) = q1,
    inference(demodulation,[status(thm),theory(equality)],[c_556,c_532]) ).

tff(c_7635,plain,
    select(q1,tail) = index_6,
    inference(superposition,[status(thm),theory(equality)],[c_648,c_7581]) ).

tff(c_12420,plain,
    index_6 = index_12,
    inference(demodulation,[status(thm),theory(equality)],[c_12419,c_7635]) ).

tff(c_348,plain,
    s(index_3) = index_6,
    inference(cnfTransformation,[status(thm)],[f_212]) ).

tff(c_1470,plain,
    p(index_6) = index_3,
    inference(superposition,[status(thm),theory(equality)],[c_348,c_1377]) ).

tff(c_12462,plain,
    p(index_12) = index_3,
    inference(demodulation,[status(thm),theory(equality)],[c_12420,c_1470]) ).

tff(c_12536,plain,
    index_3 = index_138,
    inference(demodulation,[status(thm),theory(equality)],[c_12222,c_12462]) ).

tff(c_326,plain,
    select(q0,tail) = index_3,
    inference(cnfTransformation,[status(thm)],[f_201]) ).

tff(c_12558,plain,
    select(q0,tail) = index_138,
    inference(demodulation,[status(thm),theory(equality)],[c_12536,c_326]) ).

tff(c_12753,plain,
    select(q0,tail) = index_102,
    inference(demodulation,[status(thm),theory(equality)],[c_12713,c_12558]) ).

tff(c_14679,plain,
    ( ( select(q,tail) = index_102 )
    | ( tail = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_14673,c_12753]) ).

tff(c_14699,plain,
    ( ( index_102 = index_0 )
    | ( tail = head ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_200,c_14679]) ).

tff(c_14700,plain,
    index_102 = index_0,
    inference(negUnitSimplification,[status(thm)],[c_6,c_14699]) ).

tff(c_14744,plain,
    select(earray_226,index_0) = e42,
    inference(demodulation,[status(thm),theory(equality)],[c_14700,c_12054]) ).

tff(c_12056,plain,
    index_225 = index_102,
    inference(demodulation,[status(thm),theory(equality)],[c_12033,c_11333]) ).

tff(c_14782,plain,
    index_225 = index_0,
    inference(demodulation,[status(thm),theory(equality)],[c_14700,c_12056]) ).

tff(c_116,plain,
    select(q42,seq) = earray_224,
    inference(cnfTransformation,[status(thm)],[f_96]) ).

tff(c_16267,plain,
    ! [J_79] :
      ( ( select(queue_221,J_79) = select(q42,J_79) )
      | ( tail = J_79 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_663,c_7982]) ).

tff(c_470,plain,
    store(q41,seq,earray_220) = queue_221,
    inference(cnfTransformation,[status(thm)],[f_273]) ).

tff(c_7644,plain,
    select(queue_221,seq) = earray_220,
    inference(superposition,[status(thm),theory(equality)],[c_470,c_7581]) ).

tff(c_16276,plain,
    ( ( select(q42,seq) = earray_220 )
    | ( tail = seq ) ),
    inference(superposition,[status(thm),theory(equality)],[c_16267,c_7644]) ).

tff(c_16287,plain,
    ( ( earray_224 = earray_220 )
    | ( tail = seq ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_116,c_16276]) ).

tff(c_16288,plain,
    earray_224 = earray_220,
    inference(negUnitSimplification,[status(thm)],[c_10,c_16287]) ).

tff(c_8265,plain,
    ! [J_29] :
      ( ( select(earray_226,J_29) = select(earray_224,J_29) )
      | ( index_225 = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_118,c_7982]) ).

tff(c_16706,plain,
    ! [J_92] :
      ( ( select(earray_226,J_92) = select(earray_220,J_92) )
      | ( index_0 = J_92 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_14782,c_16288,c_8265]) ).

tff(c_196,plain,
    select(earray_260,index_261) = elem_262,
    inference(cnfTransformation,[status(thm)],[f_136]) ).

tff(c_14404,plain,
    select(earray_226,index_261) = elem_262,
    inference(demodulation,[status(thm),theory(equality)],[c_14398,c_196]) ).

tff(c_16715,plain,
    ( ( select(earray_220,index_261) = elem_262 )
    | ( index_261 = index_0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_16706,c_14404]) ).

tff(c_16729,plain,
    index_261 = index_0,
    inference(splitLeft,[status(thm)],[c_16715]) ).

tff(c_16730,plain,
    select(earray_226,index_0) = elem_262,
    inference(demodulation,[status(thm),theory(equality)],[c_16729,c_14404]) ).

tff(c_16732,plain,
    elem_262 = e42,
    inference(demodulation,[status(thm),theory(equality)],[c_14744,c_16730]) ).

tff(c_16734,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_14411,c_16732]) ).

tff(c_16736,plain,
    index_261 != index_0,
    inference(splitRight,[status(thm)],[c_16715]) ).

tff(c_7818,plain,
    select(q0,head) = index_0,
    inference(superposition,[status(thm),theory(equality)],[c_686,c_7581]) ).

tff(c_484,plain,
    store(q5,seq,earray_238) = queue_239,
    inference(cnfTransformation,[status(thm)],[f_280]) ).

tff(c_8295,plain,
    ! [J_29] :
      ( ( select(queue_239,J_29) = select(q5,J_29) )
      | ( seq = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_484,c_7982]) ).

tff(c_18139,plain,
    ! [J_141] :
      ( ( select(queue_239,J_141) = select(q6,J_141) )
      | ( tail = J_141 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_660,c_7982]) ).

tff(c_18154,plain,
    ! [J_29] :
      ( ( select(q6,J_29) = select(q5,J_29) )
      | ( tail = J_29 )
      | ( seq = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_8295,c_18139]) ).

tff(c_488,plain,
    store(q6,seq,earray_244) = queue_245,
    inference(cnfTransformation,[status(thm)],[f_282]) ).

tff(c_17827,plain,
    ! [J_131] :
      ( ( select(queue_245,J_131) = select(q6,J_131) )
      | ( seq = J_131 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_488,c_7982]) ).

tff(c_8034,plain,
    ! [J_29] :
      ( ( select(queue_245,J_29) = select(q7,J_29) )
      | ( tail = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_659,c_7982]) ).

tff(c_17833,plain,
    ! [J_131] :
      ( ( select(q7,J_131) = select(q6,J_131) )
      | ( tail = J_131 )
      | ( seq = J_131 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_17827,c_8034]) ).

tff(c_494,plain,
    store(q7,seq,earray_250) = queue_251,
    inference(cnfTransformation,[status(thm)],[f_285]) ).

tff(c_18375,plain,
    ! [J_149] :
      ( ( select(queue_251,J_149) = select(q7,J_149) )
      | ( seq = J_149 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_494,c_7982]) ).

tff(c_8208,plain,
    ! [J_29] :
      ( ( select(queue_251,J_29) = select(q8,J_29) )
      | ( tail = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_657,c_7982]) ).

tff(c_18381,plain,
    ! [J_149] :
      ( ( select(q8,J_149) = select(q7,J_149) )
      | ( tail = J_149 )
      | ( seq = J_149 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_18375,c_8208]) ).

tff(c_498,plain,
    store(q8,seq,earray_256) = queue_257,
    inference(cnfTransformation,[status(thm)],[f_287]) ).

tff(c_8382,plain,
    ! [J_29] :
      ( ( select(queue_257,J_29) = select(q8,J_29) )
      | ( seq = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_498,c_7982]) ).

tff(c_17852,plain,
    ! [J_132] :
      ( ( select(queue_257,J_132) = select(q9,J_132) )
      | ( tail = J_132 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_656,c_7982]) ).

tff(c_17867,plain,
    ! [J_29] :
      ( ( select(q9,J_29) = select(q8,J_29) )
      | ( tail = J_29 )
      | ( seq = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_8382,c_17852]) ).

tff(c_390,plain,
    store(q9,seq,earray_10) = queue_11,
    inference(cnfTransformation,[status(thm)],[f_233]) ).

tff(c_17266,plain,
    ! [J_112] :
      ( ( select(queue_11,J_112) = select(q9,J_112) )
      | ( seq = J_112 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_390,c_7982]) ).

tff(c_8268,plain,
    ! [J_29] :
      ( ( select(queue_11,J_29) = select(q10,J_29) )
      | ( tail = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_680,c_7982]) ).

tff(c_26400,plain,
    ! [J_381] :
      ( ( select(q9,J_381) = select(q10,J_381) )
      | ( tail = J_381 )
      | ( seq = J_381 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_17266,c_8268]) ).

tff(c_27654,plain,
    ! [J_407] :
      ( ( select(q8,J_407) = select(q10,J_407) )
      | ( tail = J_407 )
      | ( seq = J_407 )
      | ( tail = J_407 )
      | ( seq = J_407 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_17867,c_26400]) ).

tff(c_27752,plain,
    ! [J_410] :
      ( ( select(q7,J_410) = select(q10,J_410) )
      | ( tail = J_410 )
      | ( seq = J_410 )
      | ( tail = J_410 )
      | ( seq = J_410 )
      | ( tail = J_410 )
      | ( seq = J_410 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_18381,c_27654]) ).

tff(c_27899,plain,
    ! [J_415] :
      ( ( select(q6,J_415) = select(q10,J_415) )
      | ( tail = J_415 )
      | ( seq = J_415 )
      | ( tail = J_415 )
      | ( seq = J_415 )
      | ( tail = J_415 )
      | ( seq = J_415 )
      | ( tail = J_415 )
      | ( seq = J_415 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_17833,c_27752]) ).

tff(c_28046,plain,
    ! [J_420] :
      ( ( select(q5,J_420) = select(q10,J_420) )
      | ( tail = J_420 )
      | ( seq = J_420 )
      | ( tail = J_420 )
      | ( seq = J_420 )
      | ( tail = J_420 )
      | ( seq = J_420 )
      | ( tail = J_420 )
      | ( seq = J_420 )
      | ( tail = J_420 )
      | ( seq = J_420 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_18154,c_27899]) ).

tff(c_480,plain,
    store(q4,seq,earray_232) = queue_233,
    inference(cnfTransformation,[status(thm)],[f_278]) ).

tff(c_8319,plain,
    ! [J_29] :
      ( ( select(queue_233,J_29) = select(q4,J_29) )
      | ( seq = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_480,c_7982]) ).

tff(c_17291,plain,
    ! [J_113] :
      ( ( select(queue_233,J_113) = select(q5,J_113) )
      | ( tail = J_113 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_661,c_7982]) ).

tff(c_17306,plain,
    ! [J_29] :
      ( ( select(q5,J_29) = select(q4,J_29) )
      | ( tail = J_29 )
      | ( seq = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_8319,c_17291]) ).

tff(c_28199,plain,
    ! [J_425] :
      ( ( select(q4,J_425) = select(q10,J_425) )
      | ( tail = J_425 )
      | ( seq = J_425 )
      | ( tail = J_425 )
      | ( seq = J_425 )
      | ( tail = J_425 )
      | ( seq = J_425 )
      | ( tail = J_425 )
      | ( seq = J_425 )
      | ( tail = J_425 )
      | ( seq = J_425 )
      | ( tail = J_425 )
      | ( seq = J_425 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_28046,c_17306]) ).

tff(c_458,plain,
    store(q3,seq,earray_202) = queue_203,
    inference(cnfTransformation,[status(thm)],[f_267]) ).

tff(c_17512,plain,
    ! [J_119] :
      ( ( select(queue_203,J_119) = select(q3,J_119) )
      | ( seq = J_119 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_458,c_7982]) ).

tff(c_8379,plain,
    ! [J_29] :
      ( ( select(queue_203,J_29) = select(q4,J_29) )
      | ( tail = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_666,c_7982]) ).

tff(c_17518,plain,
    ! [J_119] :
      ( ( select(q4,J_119) = select(q3,J_119) )
      | ( tail = J_119 )
      | ( seq = J_119 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_17512,c_8379]) ).

tff(c_28319,plain,
    ! [J_429] :
      ( ( select(q3,J_429) = select(q10,J_429) )
      | ( tail = J_429 )
      | ( seq = J_429 )
      | ( tail = J_429 )
      | ( seq = J_429 )
      | ( tail = J_429 )
      | ( seq = J_429 )
      | ( tail = J_429 )
      | ( seq = J_429 )
      | ( tail = J_429 )
      | ( seq = J_429 )
      | ( tail = J_429 )
      | ( seq = J_429 )
      | ( tail = J_429 )
      | ( seq = J_429 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_28199,c_17518]) ).

tff(c_410,plain,
    store(q2,seq,earray_136) = queue_137,
    inference(cnfTransformation,[status(thm)],[f_243]) ).

tff(c_14245,plain,
    ! [J_36] :
      ( ( select(queue_137,J_36) = select(q2,J_36) )
      | ( seq = J_36 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_410,c_7982]) ).

tff(c_8214,plain,
    ! [J_29] :
      ( ( select(queue_137,J_29) = select(q3,J_29) )
      | ( tail = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_678,c_7982]) ).

tff(c_14251,plain,
    ! [J_36] :
      ( ( select(q3,J_36) = select(q2,J_36) )
      | ( tail = J_36 )
      | ( seq = J_36 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_14245,c_8214]) ).

tff(c_28358,plain,
    ! [J_430] :
      ( ( select(q2,J_430) = select(q10,J_430) )
      | ( tail = J_430 )
      | ( seq = J_430 )
      | ( tail = J_430 )
      | ( seq = J_430 )
      | ( tail = J_430 )
      | ( seq = J_430 )
      | ( tail = J_430 )
      | ( seq = J_430 )
      | ( tail = J_430 )
      | ( seq = J_430 )
      | ( tail = J_430 )
      | ( seq = J_430 )
      | ( tail = J_430 )
      | ( seq = J_430 )
      | ( tail = J_430 )
      | ( seq = J_430 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_28319,c_14251]) ).

tff(c_534,plain,
    store(q1,seq,earray_70) = queue_71,
    inference(cnfTransformation,[status(thm)],[f_305]) ).

tff(c_8217,plain,
    ! [J_29] :
      ( ( select(queue_71,J_29) = select(q1,J_29) )
      | ( seq = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_534,c_7982]) ).

tff(c_16565,plain,
    ! [J_89] :
      ( ( select(queue_71,J_89) = select(q2,J_89) )
      | ( tail = J_89 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_647,c_7982]) ).

tff(c_16580,plain,
    ! [J_29] :
      ( ( select(q2,J_29) = select(q1,J_29) )
      | ( tail = J_29 )
      | ( seq = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_8217,c_16565]) ).

tff(c_28455,plain,
    ! [J_432] :
      ( ( select(q10,J_432) = select(q1,J_432) )
      | ( tail = J_432 )
      | ( seq = J_432 )
      | ( tail = J_432 )
      | ( seq = J_432 )
      | ( tail = J_432 )
      | ( seq = J_432 )
      | ( tail = J_432 )
      | ( seq = J_432 )
      | ( tail = J_432 )
      | ( seq = J_432 )
      | ( tail = J_432 )
      | ( seq = J_432 )
      | ( tail = J_432 )
      | ( seq = J_432 )
      | ( tail = J_432 )
      | ( seq = J_432 )
      | ( tail = J_432 )
      | ( seq = J_432 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_28358,c_16580]) ).

tff(c_16823,plain,
    ! [J_97] :
      ( ( select(queue_17,J_97) = select(q11,J_97) )
      | ( tail = J_97 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_669,c_7982]) ).

tff(c_434,plain,
    store(q10,seq,earray_16) = queue_17,
    inference(cnfTransformation,[status(thm)],[f_255]) ).

tff(c_8301,plain,
    ! [J_29] :
      ( ( select(queue_17,J_29) = select(q10,J_29) )
      | ( seq = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_434,c_7982]) ).

tff(c_16829,plain,
    ! [J_97] :
      ( ( select(q11,J_97) = select(q10,J_97) )
      | ( seq = J_97 )
      | ( tail = J_97 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_16823,c_8301]) ).

tff(c_8235,plain,
    ! [J_29] :
      ( ( select(queue_29,J_29) = select(q13,J_29) )
      | ( tail = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_655,c_7982]) ).

tff(c_502,plain,
    store(q12,seq,earray_28) = queue_29,
    inference(cnfTransformation,[status(thm)],[f_289]) ).

tff(c_18523,plain,
    ! [J_154] :
      ( ( select(queue_29,J_154) = select(q12,J_154) )
      | ( seq = J_154 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_502,c_7982]) ).

tff(c_18538,plain,
    ! [J_29] :
      ( ( select(q13,J_29) = select(q12,J_29) )
      | ( seq = J_29 )
      | ( tail = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_8235,c_18523]) ).

tff(c_17779,plain,
    ! [J_130] :
      ( ( select(queue_59,J_130) = select(q18,J_130) )
      | ( tail = J_130 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_650,c_7982]) ).

tff(c_524,plain,
    store(q17,seq,earray_58) = queue_59,
    inference(cnfTransformation,[status(thm)],[f_300]) ).

tff(c_8061,plain,
    ! [J_29] :
      ( ( select(queue_59,J_29) = select(q17,J_29) )
      | ( seq = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_524,c_7982]) ).

tff(c_17785,plain,
    ! [J_130] :
      ( ( select(q18,J_130) = select(q17,J_130) )
      | ( seq = J_130 )
      | ( tail = J_130 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_17779,c_8061]) ).

tff(c_542,plain,
    store(q20,seq,earray_82) = queue_83,
    inference(cnfTransformation,[status(thm)],[f_309]) ).

tff(c_8196,plain,
    ! [J_29] :
      ( ( select(queue_83,J_29) = select(q20,J_29) )
      | ( seq = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_542,c_7982]) ).

tff(c_18019,plain,
    ! [J_138] :
      ( ( select(queue_83,J_138) = select(q21,J_138) )
      | ( tail = J_138 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_645,c_7982]) ).

tff(c_18034,plain,
    ! [J_29] :
      ( ( select(q21,J_29) = select(q20,J_29) )
      | ( tail = J_29 )
      | ( seq = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_8196,c_18019]) ).

tff(c_396,plain,
    store(q26,seq,earray_118) = queue_119,
    inference(cnfTransformation,[status(thm)],[f_236]) ).

tff(c_17754,plain,
    ! [J_129] :
      ( ( select(queue_119,J_129) = select(q26,J_129) )
      | ( seq = J_129 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_396,c_7982]) ).

tff(c_8178,plain,
    ! [J_29] :
      ( ( select(queue_119,J_29) = select(q27,J_29) )
      | ( tail = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_682,c_7982]) ).

tff(c_17760,plain,
    ! [J_129] :
      ( ( select(q27,J_129) = select(q26,J_129) )
      | ( tail = J_129 )
      | ( seq = J_129 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_17754,c_8178]) ).

tff(c_414,plain,
    store(q29,seq,earray_142) = queue_143,
    inference(cnfTransformation,[status(thm)],[f_245]) ).

tff(c_8262,plain,
    ! [J_29] :
      ( ( select(queue_143,J_29) = select(q29,J_29) )
      | ( seq = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_414,c_7982]) ).

tff(c_18491,plain,
    ! [J_153] :
      ( ( select(queue_143,J_153) = select(q30,J_153) )
      | ( tail = J_153 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_677,c_7982]) ).

tff(c_18506,plain,
    ! [J_29] :
      ( ( select(q30,J_29) = select(q29,J_29) )
      | ( tail = J_29 )
      | ( seq = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_8262,c_18491]) ).

tff(c_18252,plain,
    ! [J_145] :
      ( ( select(queue_179,J_145) = select(q36,J_145) )
      | ( tail = J_145 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_671,c_7982]) ).

tff(c_440,plain,
    store(q35,seq,earray_178) = queue_179,
    inference(cnfTransformation,[status(thm)],[f_258]) ).

tff(c_8145,plain,
    ! [J_29] :
      ( ( select(queue_179,J_29) = select(q35,J_29) )
      | ( seq = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_440,c_7982]) ).

tff(c_18258,plain,
    ! [J_145] :
      ( ( select(q36,J_145) = select(q35,J_145) )
      | ( seq = J_145 )
      | ( tail = J_145 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_18252,c_8145]) ).

tff(c_454,plain,
    store(q38,seq,earray_196) = queue_197,
    inference(cnfTransformation,[status(thm)],[f_265]) ).

tff(c_8055,plain,
    ! [J_29] :
      ( ( select(queue_197,J_29) = select(q38,J_29) )
      | ( seq = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_454,c_7982]) ).

tff(c_18425,plain,
    ! [J_151] :
      ( ( select(queue_197,J_151) = select(q39,J_151) )
      | ( tail = J_151 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_667,c_7982]) ).

tff(c_18440,plain,
    ! [J_29] :
      ( ( select(q39,J_29) = select(q38,J_29) )
      | ( tail = J_29 )
      | ( seq = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_8055,c_18425]) ).

tff(c_462,plain,
    store(q39,seq,earray_208) = queue_209,
    inference(cnfTransformation,[status(thm)],[f_269]) ).

tff(c_16060,plain,
    ! [J_72] :
      ( ( select(queue_209,J_72) = select(q39,J_72) )
      | ( seq = J_72 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_462,c_7982]) ).

tff(c_8076,plain,
    ! [J_29] :
      ( ( select(queue_209,J_29) = select(q40,J_29) )
      | ( tail = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_665,c_7982]) ).

tff(c_27171,plain,
    ! [J_403] :
      ( ( select(q40,J_403) = select(q39,J_403) )
      | ( tail = J_403 )
      | ( seq = J_403 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_16060,c_8076]) ).

tff(c_8253,plain,
    ! [J_29] :
      ( ( select(queue_227,J_29) = select(q43,J_29) )
      | ( tail = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_662,c_7982]) ).

tff(c_18350,plain,
    ! [J_148] :
      ( ( select(queue_227,J_148) = select(q42,J_148) )
      | ( seq = J_148 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_474,c_7982]) ).

tff(c_26769,plain,
    ! [J_392] :
      ( ( select(q43,J_392) = select(q42,J_392) )
      | ( seq = J_392 )
      | ( tail = J_392 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_8253,c_18350]) ).

tff(c_318,plain,
    select(q43,head) = index_261,
    inference(cnfTransformation,[status(thm)],[f_197]) ).

tff(c_26781,plain,
    ( ( select(q42,head) = index_261 )
    | ( seq = head )
    | ( tail = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_26769,c_318]) ).

tff(c_26801,plain,
    select(q42,head) = index_261,
    inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_26781]) ).

tff(c_8052,plain,
    ! [J_29] :
      ( ( select(queue_221,J_29) = select(q41,J_29) )
      | ( seq = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_470,c_7982]) ).

tff(c_16273,plain,
    ! [J_79] :
      ( ( select(q42,J_79) = select(q41,J_79) )
      | ( seq = J_79 )
      | ( tail = J_79 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_16267,c_8052]) ).

tff(c_26813,plain,
    ( ( select(q41,head) = index_261 )
    | ( seq = head )
    | ( tail = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_26801,c_16273]) ).

tff(c_26819,plain,
    select(q41,head) = index_261,
    inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_26813]) ).

tff(c_466,plain,
    store(q40,seq,earray_214) = queue_215,
    inference(cnfTransformation,[status(thm)],[f_271]) ).

tff(c_8118,plain,
    ! [J_29] :
      ( ( select(queue_215,J_29) = select(q40,J_29) )
      | ( seq = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_466,c_7982]) ).

tff(c_17954,plain,
    ! [J_136] :
      ( ( select(queue_215,J_136) = select(q41,J_136) )
      | ( tail = J_136 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_664,c_7982]) ).

tff(c_17969,plain,
    ! [J_29] :
      ( ( select(q41,J_29) = select(q40,J_29) )
      | ( tail = J_29 )
      | ( seq = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_8118,c_17954]) ).

tff(c_26826,plain,
    ( ( select(q40,head) = index_261 )
    | ( tail = head )
    | ( seq = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_26819,c_17969]) ).

tff(c_26832,plain,
    select(q40,head) = index_261,
    inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_26826]) ).

tff(c_27177,plain,
    ( ( select(q39,head) = index_261 )
    | ( tail = head )
    | ( seq = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_27171,c_26832]) ).

tff(c_27197,plain,
    select(q39,head) = index_261,
    inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_27177]) ).

tff(c_27219,plain,
    ( ( select(q38,head) = index_261 )
    | ( tail = head )
    | ( seq = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_18440,c_27197]) ).

tff(c_27223,plain,
    select(q38,head) = index_261,
    inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_27219]) ).

tff(c_8013,plain,
    ! [J_29] :
      ( ( select(queue_191,J_29) = select(q38,J_29) )
      | ( tail = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_668,c_7982]) ).

tff(c_450,plain,
    store(q37,seq,earray_190) = queue_191,
    inference(cnfTransformation,[status(thm)],[f_263]) ).

tff(c_17711,plain,
    ! [J_127] :
      ( ( select(queue_191,J_127) = select(q37,J_127) )
      | ( seq = J_127 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_450,c_7982]) ).

tff(c_17726,plain,
    ! [J_29] :
      ( ( select(q38,J_29) = select(q37,J_29) )
      | ( seq = J_29 )
      | ( tail = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_8013,c_17711]) ).

tff(c_27228,plain,
    ( ( select(q37,head) = index_261 )
    | ( seq = head )
    | ( tail = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_27223,c_17726]) ).

tff(c_27234,plain,
    select(q37,head) = index_261,
    inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_27228]) ).

tff(c_8112,plain,
    ! [J_29] :
      ( ( select(queue_185,J_29) = select(q37,J_29) )
      | ( tail = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_670,c_7982]) ).

tff(c_444,plain,
    store(q36,seq,earray_184) = queue_185,
    inference(cnfTransformation,[status(thm)],[f_260]) ).

tff(c_16224,plain,
    ! [J_77] :
      ( ( select(queue_185,J_77) = select(q36,J_77) )
      | ( seq = J_77 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_444,c_7982]) ).

tff(c_16239,plain,
    ! [J_29] :
      ( ( select(q37,J_29) = select(q36,J_29) )
      | ( seq = J_29 )
      | ( tail = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_8112,c_16224]) ).

tff(c_27241,plain,
    ( ( select(q36,head) = index_261 )
    | ( seq = head )
    | ( tail = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_27234,c_16239]) ).

tff(c_27247,plain,
    select(q36,head) = index_261,
    inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_27241]) ).

tff(c_27258,plain,
    ( ( select(q35,head) = index_261 )
    | ( seq = head )
    | ( tail = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_18258,c_27247]) ).

tff(c_27262,plain,
    select(q35,head) = index_261,
    inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_27258]) ).

tff(c_15454,plain,
    ! [J_61] :
      ( ( select(queue_173,J_61) = select(q35,J_61) )
      | ( tail = J_61 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_672,c_7982]) ).

tff(c_436,plain,
    store(q34,seq,earray_172) = queue_173,
    inference(cnfTransformation,[status(thm)],[f_256]) ).

tff(c_8271,plain,
    ! [J_29] :
      ( ( select(queue_173,J_29) = select(q34,J_29) )
      | ( seq = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_436,c_7982]) ).

tff(c_15460,plain,
    ! [J_61] :
      ( ( select(q35,J_61) = select(q34,J_61) )
      | ( seq = J_61 )
      | ( tail = J_61 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_15454,c_8271]) ).

tff(c_27267,plain,
    ( ( select(q34,head) = index_261 )
    | ( seq = head )
    | ( tail = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_27262,c_15460]) ).

tff(c_27273,plain,
    select(q34,head) = index_261,
    inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_27267]) ).

tff(c_430,plain,
    store(q33,seq,earray_166) = queue_167,
    inference(cnfTransformation,[status(thm)],[f_253]) ).

tff(c_17379,plain,
    ! [J_115] :
      ( ( select(queue_167,J_115) = select(q33,J_115) )
      | ( seq = J_115 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_430,c_7982]) ).

tff(c_8142,plain,
    ! [J_29] :
      ( ( select(queue_167,J_29) = select(q34,J_29) )
      | ( tail = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_673,c_7982]) ).

tff(c_17385,plain,
    ! [J_115] :
      ( ( select(q34,J_115) = select(q33,J_115) )
      | ( tail = J_115 )
      | ( seq = J_115 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_17379,c_8142]) ).

tff(c_27280,plain,
    ( ( select(q33,head) = index_261 )
    | ( tail = head )
    | ( seq = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_27273,c_17385]) ).

tff(c_27286,plain,
    select(q33,head) = index_261,
    inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_27280]) ).

tff(c_8082,plain,
    ! [J_29] :
      ( ( select(queue_161,J_29) = select(q33,J_29) )
      | ( tail = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_674,c_7982]) ).

tff(c_426,plain,
    store(q32,seq,earray_160) = queue_161,
    inference(cnfTransformation,[status(thm)],[f_251]) ).

tff(c_17162,plain,
    ! [J_107] :
      ( ( select(queue_161,J_107) = select(q32,J_107) )
      | ( seq = J_107 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_426,c_7982]) ).

tff(c_17177,plain,
    ! [J_29] :
      ( ( select(q33,J_29) = select(q32,J_29) )
      | ( seq = J_29 )
      | ( tail = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_8082,c_17162]) ).

tff(c_27293,plain,
    ( ( select(q32,head) = index_261 )
    | ( seq = head )
    | ( tail = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_27286,c_17177]) ).

tff(c_27299,plain,
    select(q32,head) = index_261,
    inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_27293]) ).

tff(c_8067,plain,
    ! [J_29] :
      ( ( select(queue_155,J_29) = select(q32,J_29) )
      | ( tail = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_675,c_7982]) ).

tff(c_422,plain,
    store(q31,seq,earray_154) = queue_155,
    inference(cnfTransformation,[status(thm)],[f_249]) ).

tff(c_17082,plain,
    ! [J_103] :
      ( ( select(queue_155,J_103) = select(q31,J_103) )
      | ( seq = J_103 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_422,c_7982]) ).

tff(c_17097,plain,
    ! [J_29] :
      ( ( select(q32,J_29) = select(q31,J_29) )
      | ( seq = J_29 )
      | ( tail = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_8067,c_17082]) ).

tff(c_27306,plain,
    ( ( select(q31,head) = index_261 )
    | ( seq = head )
    | ( tail = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_27299,c_17097]) ).

tff(c_27312,plain,
    select(q31,head) = index_261,
    inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_27306]) ).

tff(c_418,plain,
    store(q30,seq,earray_148) = queue_149,
    inference(cnfTransformation,[status(thm)],[f_247]) ).

tff(c_8106,plain,
    ! [J_29] :
      ( ( select(queue_149,J_29) = select(q30,J_29) )
      | ( seq = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_418,c_7982]) ).

tff(c_16992,plain,
    ! [J_101] :
      ( ( select(queue_149,J_101) = select(q31,J_101) )
      | ( tail = J_101 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_676,c_7982]) ).

tff(c_17007,plain,
    ! [J_29] :
      ( ( select(q31,J_29) = select(q30,J_29) )
      | ( tail = J_29 )
      | ( seq = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_8106,c_16992]) ).

tff(c_27319,plain,
    ( ( select(q30,head) = index_261 )
    | ( tail = head )
    | ( seq = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_27312,c_17007]) ).

tff(c_27325,plain,
    select(q30,head) = index_261,
    inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_27319]) ).

tff(c_27336,plain,
    ( ( select(q29,head) = index_261 )
    | ( tail = head )
    | ( seq = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_18506,c_27325]) ).

tff(c_27340,plain,
    select(q29,head) = index_261,
    inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_27336]) ).

tff(c_406,plain,
    store(q28,seq,earray_130) = queue_131,
    inference(cnfTransformation,[status(thm)],[f_241]) ).

tff(c_25092,plain,
    ! [J_341] :
      ( ( select(queue_131,J_341) = select(q28,J_341) )
      | ( seq = J_341 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_406,c_7982]) ).

tff(c_8019,plain,
    ! [J_29] :
      ( ( select(queue_131,J_29) = select(q29,J_29) )
      | ( tail = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_679,c_7982]) ).

tff(c_25098,plain,
    ! [J_341] :
      ( ( select(q29,J_341) = select(q28,J_341) )
      | ( tail = J_341 )
      | ( seq = J_341 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_25092,c_8019]) ).

tff(c_27345,plain,
    ( ( select(q28,head) = index_261 )
    | ( tail = head )
    | ( seq = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_27340,c_25098]) ).

tff(c_27351,plain,
    select(q28,head) = index_261,
    inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_27345]) ).

tff(c_400,plain,
    store(q27,seq,earray_124) = queue_125,
    inference(cnfTransformation,[status(thm)],[f_238]) ).

tff(c_8187,plain,
    ! [J_29] :
      ( ( select(queue_125,J_29) = select(q27,J_29) )
      | ( seq = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_400,c_7982]) ).

tff(c_17445,plain,
    ! [J_117] :
      ( ( select(queue_125,J_117) = select(q28,J_117) )
      | ( tail = J_117 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_681,c_7982]) ).

tff(c_17460,plain,
    ! [J_29] :
      ( ( select(q28,J_29) = select(q27,J_29) )
      | ( tail = J_29 )
      | ( seq = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_8187,c_17445]) ).

tff(c_27358,plain,
    ( ( select(q27,head) = index_261 )
    | ( tail = head )
    | ( seq = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_27351,c_17460]) ).

tff(c_27364,plain,
    select(q27,head) = index_261,
    inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_27358]) ).

tff(c_27375,plain,
    ( ( select(q26,head) = index_261 )
    | ( tail = head )
    | ( seq = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_17760,c_27364]) ).

tff(c_27379,plain,
    select(q26,head) = index_261,
    inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_27375]) ).

tff(c_392,plain,
    store(q25,seq,earray_112) = queue_113,
    inference(cnfTransformation,[status(thm)],[f_234]) ).

tff(c_18400,plain,
    ! [J_150] :
      ( ( select(queue_113,J_150) = select(q25,J_150) )
      | ( seq = J_150 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_392,c_7982]) ).

tff(c_8166,plain,
    ! [J_29] :
      ( ( select(queue_113,J_29) = select(q26,J_29) )
      | ( tail = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_683,c_7982]) ).

tff(c_18406,plain,
    ! [J_150] :
      ( ( select(q26,J_150) = select(q25,J_150) )
      | ( tail = J_150 )
      | ( seq = J_150 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_18400,c_8166]) ).

tff(c_27384,plain,
    ( ( select(q25,head) = index_261 )
    | ( tail = head )
    | ( seq = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_27379,c_18406]) ).

tff(c_27390,plain,
    select(q25,head) = index_261,
    inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_27384]) ).

tff(c_386,plain,
    store(q24,seq,earray_106) = queue_107,
    inference(cnfTransformation,[status(thm)],[f_231]) ).

tff(c_25123,plain,
    ! [J_342] :
      ( ( select(queue_107,J_342) = select(q24,J_342) )
      | ( seq = J_342 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_386,c_7982]) ).

tff(c_8016,plain,
    ! [J_29] :
      ( ( select(queue_107,J_29) = select(q25,J_29) )
      | ( tail = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_684,c_7982]) ).

tff(c_25129,plain,
    ! [J_342] :
      ( ( select(q25,J_342) = select(q24,J_342) )
      | ( tail = J_342 )
      | ( seq = J_342 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_25123,c_8016]) ).

tff(c_27397,plain,
    ( ( select(q24,head) = index_261 )
    | ( tail = head )
    | ( seq = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_27390,c_25129]) ).

tff(c_27403,plain,
    select(q24,head) = index_261,
    inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_27397]) ).

tff(c_8001,plain,
    ! [J_29] :
      ( ( select(queue_101,J_29) = select(q24,J_29) )
      | ( tail = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_685,c_7982]) ).

tff(c_382,plain,
    store(q23,seq,earray_100) = queue_101,
    inference(cnfTransformation,[status(thm)],[f_229]) ).

tff(c_17205,plain,
    ! [J_109] :
      ( ( select(queue_101,J_109) = select(q23,J_109) )
      | ( seq = J_109 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_382,c_7982]) ).

tff(c_17220,plain,
    ! [J_29] :
      ( ( select(q24,J_29) = select(q23,J_29) )
      | ( seq = J_29 )
      | ( tail = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_8001,c_17205]) ).

tff(c_27410,plain,
    ( ( select(q23,head) = index_261 )
    | ( seq = head )
    | ( tail = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_27403,c_17220]) ).

tff(c_27416,plain,
    select(q23,head) = index_261,
    inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_27410]) ).

tff(c_550,plain,
    store(q22,seq,earray_94) = queue_95,
    inference(cnfTransformation,[status(thm)],[f_313]) ).

tff(c_16798,plain,
    ! [J_96] :
      ( ( select(queue_95,J_96) = select(q22,J_96) )
      | ( seq = J_96 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_550,c_7982]) ).

tff(c_8331,plain,
    ! [J_29] :
      ( ( select(queue_95,J_29) = select(q23,J_29) )
      | ( tail = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_643,c_7982]) ).

tff(c_16804,plain,
    ! [J_96] :
      ( ( select(q23,J_96) = select(q22,J_96) )
      | ( tail = J_96 )
      | ( seq = J_96 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_16798,c_8331]) ).

tff(c_27423,plain,
    ( ( select(q22,head) = index_261 )
    | ( tail = head )
    | ( seq = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_27416,c_16804]) ).

tff(c_27429,plain,
    select(q22,head) = index_261,
    inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_27423]) ).

tff(c_546,plain,
    store(q21,seq,earray_88) = queue_89,
    inference(cnfTransformation,[status(thm)],[f_311]) ).

tff(c_8064,plain,
    ! [J_29] :
      ( ( select(queue_89,J_29) = select(q21,J_29) )
      | ( seq = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_546,c_7982]) ).

tff(c_16529,plain,
    ! [J_88] :
      ( ( select(queue_89,J_88) = select(q22,J_88) )
      | ( tail = J_88 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_644,c_7982]) ).

tff(c_16544,plain,
    ! [J_29] :
      ( ( select(q22,J_29) = select(q21,J_29) )
      | ( tail = J_29 )
      | ( seq = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_8064,c_16529]) ).

tff(c_27436,plain,
    ( ( select(q21,head) = index_261 )
    | ( tail = head )
    | ( seq = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_27429,c_16544]) ).

tff(c_27442,plain,
    select(q21,head) = index_261,
    inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_27436]) ).

tff(c_27453,plain,
    ( ( select(q20,head) = index_261 )
    | ( tail = head )
    | ( seq = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_18034,c_27442]) ).

tff(c_27457,plain,
    select(q20,head) = index_261,
    inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_27453]) ).

tff(c_16896,plain,
    ! [J_99] :
      ( ( select(queue_77,J_99) = select(q20,J_99) )
      | ( tail = J_99 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_646,c_7982]) ).

tff(c_538,plain,
    store(q19,seq,earray_76) = queue_77,
    inference(cnfTransformation,[status(thm)],[f_307]) ).

tff(c_8256,plain,
    ! [J_29] :
      ( ( select(queue_77,J_29) = select(q19,J_29) )
      | ( seq = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_538,c_7982]) ).

tff(c_16902,plain,
    ! [J_99] :
      ( ( select(q20,J_99) = select(q19,J_99) )
      | ( seq = J_99 )
      | ( tail = J_99 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_16896,c_8256]) ).

tff(c_27462,plain,
    ( ( select(q19,head) = index_261 )
    | ( seq = head )
    | ( tail = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_27457,c_16902]) ).

tff(c_27468,plain,
    select(q19,head) = index_261,
    inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_27462]) ).

tff(c_528,plain,
    store(q18,seq,earray_64) = queue_65,
    inference(cnfTransformation,[status(thm)],[f_302]) ).

tff(c_18325,plain,
    ! [J_147] :
      ( ( select(queue_65,J_147) = select(q18,J_147) )
      | ( seq = J_147 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_528,c_7982]) ).

tff(c_8307,plain,
    ! [J_29] :
      ( ( select(queue_65,J_29) = select(q19,J_29) )
      | ( tail = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_649,c_7982]) ).

tff(c_18331,plain,
    ! [J_147] :
      ( ( select(q19,J_147) = select(q18,J_147) )
      | ( tail = J_147 )
      | ( seq = J_147 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_18325,c_8307]) ).

tff(c_27475,plain,
    ( ( select(q18,head) = index_261 )
    | ( tail = head )
    | ( seq = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_27468,c_18331]) ).

tff(c_27481,plain,
    select(q18,head) = index_261,
    inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_27475]) ).

tff(c_27492,plain,
    ( ( select(q17,head) = index_261 )
    | ( seq = head )
    | ( tail = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_17785,c_27481]) ).

tff(c_27496,plain,
    select(q17,head) = index_261,
    inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_27492]) ).

tff(c_8190,plain,
    ! [J_29] :
      ( ( select(queue_53,J_29) = select(q17,J_29) )
      | ( tail = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_651,c_7982]) ).

tff(c_520,plain,
    store(q16,seq,earray_52) = queue_53,
    inference(cnfTransformation,[status(thm)],[f_298]) ).

tff(c_18103,plain,
    ! [J_140] :
      ( ( select(queue_53,J_140) = select(q16,J_140) )
      | ( seq = J_140 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_520,c_7982]) ).

tff(c_18118,plain,
    ! [J_29] :
      ( ( select(q17,J_29) = select(q16,J_29) )
      | ( seq = J_29 )
      | ( tail = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_8190,c_18103]) ).

tff(c_27501,plain,
    ( ( select(q16,head) = index_261 )
    | ( seq = head )
    | ( tail = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_27496,c_18118]) ).

tff(c_27507,plain,
    select(q16,head) = index_261,
    inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_27501]) ).

tff(c_16933,plain,
    ! [J_100] :
      ( ( select(queue_47,J_100) = select(q16,J_100) )
      | ( tail = J_100 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_652,c_7982]) ).

tff(c_514,plain,
    store(q15,seq,earray_46) = queue_47,
    inference(cnfTransformation,[status(thm)],[f_295]) ).

tff(c_8085,plain,
    ! [J_29] :
      ( ( select(queue_47,J_29) = select(q15,J_29) )
      | ( seq = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_514,c_7982]) ).

tff(c_16939,plain,
    ! [J_100] :
      ( ( select(q16,J_100) = select(q15,J_100) )
      | ( seq = J_100 )
      | ( tail = J_100 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_16933,c_8085]) ).

tff(c_27514,plain,
    ( ( select(q15,head) = index_261 )
    | ( seq = head )
    | ( tail = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_27507,c_16939]) ).

tff(c_27520,plain,
    select(q15,head) = index_261,
    inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_27514]) ).

tff(c_510,plain,
    store(q14,seq,earray_40) = queue_41,
    inference(cnfTransformation,[status(thm)],[f_293]) ).

tff(c_16871,plain,
    ! [J_98] :
      ( ( select(queue_41,J_98) = select(q14,J_98) )
      | ( seq = J_98 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_510,c_7982]) ).

tff(c_8277,plain,
    ! [J_29] :
      ( ( select(queue_41,J_29) = select(q15,J_29) )
      | ( tail = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_653,c_7982]) ).

tff(c_16877,plain,
    ! [J_98] :
      ( ( select(q15,J_98) = select(q14,J_98) )
      | ( tail = J_98 )
      | ( seq = J_98 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_16871,c_8277]) ).

tff(c_27527,plain,
    ( ( select(q14,head) = index_261 )
    | ( tail = head )
    | ( seq = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_27520,c_16877]) ).

tff(c_27533,plain,
    select(q14,head) = index_261,
    inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_27527]) ).

tff(c_8355,plain,
    ! [J_29] :
      ( ( select(queue_35,J_29) = select(q14,J_29) )
      | ( tail = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_654,c_7982]) ).

tff(c_506,plain,
    store(q13,seq,earray_34) = queue_35,
    inference(cnfTransformation,[status(thm)],[f_291]) ).

tff(c_18300,plain,
    ! [J_146] :
      ( ( select(queue_35,J_146) = select(q13,J_146) )
      | ( seq = J_146 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_506,c_7982]) ).

tff(c_18315,plain,
    ! [J_29] :
      ( ( select(q14,J_29) = select(q13,J_29) )
      | ( seq = J_29 )
      | ( tail = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_8355,c_18300]) ).

tff(c_27540,plain,
    ( ( select(q13,head) = index_261 )
    | ( seq = head )
    | ( tail = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_27533,c_18315]) ).

tff(c_27546,plain,
    select(q13,head) = index_261,
    inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_27540]) ).

tff(c_27557,plain,
    ( ( select(q12,head) = index_261 )
    | ( seq = head )
    | ( tail = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_18538,c_27546]) ).

tff(c_27561,plain,
    select(q12,head) = index_261,
    inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_27557]) ).

tff(c_478,plain,
    store(q11,seq,earray_22) = queue_23,
    inference(cnfTransformation,[status(thm)],[f_277]) ).

tff(c_16680,plain,
    ! [J_91] :
      ( ( select(queue_23,J_91) = select(q11,J_91) )
      | ( seq = J_91 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_478,c_7982]) ).

tff(c_8097,plain,
    ! [J_29] :
      ( ( select(queue_23,J_29) = select(q12,J_29) )
      | ( tail = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_658,c_7982]) ).

tff(c_16686,plain,
    ! [J_91] :
      ( ( select(q12,J_91) = select(q11,J_91) )
      | ( tail = J_91 )
      | ( seq = J_91 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_16680,c_8097]) ).

tff(c_27566,plain,
    ( ( select(q11,head) = index_261 )
    | ( tail = head )
    | ( seq = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_27561,c_16686]) ).

tff(c_27572,plain,
    select(q11,head) = index_261,
    inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_27566]) ).

tff(c_27583,plain,
    ( ( select(q10,head) = index_261 )
    | ( seq = head )
    | ( tail = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_16829,c_27572]) ).

tff(c_27587,plain,
    select(q10,head) = index_261,
    inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_27583]) ).

tff(c_28461,plain,
    ( ( select(q1,head) = index_261 )
    | ( tail = head )
    | ( seq = head )
    | ( tail = head )
    | ( seq = head )
    | ( tail = head )
    | ( seq = head )
    | ( tail = head )
    | ( seq = head )
    | ( tail = head )
    | ( seq = head )
    | ( tail = head )
    | ( seq = head )
    | ( tail = head )
    | ( seq = head )
    | ( tail = head )
    | ( seq = head )
    | ( tail = head )
    | ( seq = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_28455,c_27587]) ).

tff(c_28481,plain,
    select(q1,head) = index_261,
    inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_8,c_6,c_8,c_6,c_8,c_6,c_8,c_6,c_8,c_6,c_8,c_6,c_8,c_6,c_8,c_6,c_28461]) ).

tff(c_518,plain,
    store(q0,seq,earray_4) = queue_5,
    inference(cnfTransformation,[status(thm)],[f_297]) ).

tff(c_8358,plain,
    ! [J_29] :
      ( ( select(queue_5,J_29) = select(q0,J_29) )
      | ( seq = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_518,c_7982]) ).

tff(c_18067,plain,
    ! [J_139] :
      ( ( select(queue_5,J_139) = select(q1,J_139) )
      | ( tail = J_139 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_648,c_7982]) ).

tff(c_18082,plain,
    ! [J_29] :
      ( ( select(q1,J_29) = select(q0,J_29) )
      | ( tail = J_29 )
      | ( seq = J_29 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_8358,c_18067]) ).

tff(c_28499,plain,
    ( ( select(q0,head) = index_261 )
    | ( tail = head )
    | ( seq = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_28481,c_18082]) ).

tff(c_28505,plain,
    ( ( index_261 = index_0 )
    | ( tail = head )
    | ( seq = head ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_7818,c_28499]) ).

tff(c_28507,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_16736,c_28505]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem  : SWV571-1.043 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.36  % Computer : n023.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu Aug  3 23:10:07 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 32.25/16.00  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 32.39/16.10  
% 32.39/16.10  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 32.95/16.21  
% 32.95/16.21  Inference rules
% 32.95/16.21  ----------------------
% 32.95/16.21  #Ref     : 0
% 32.95/16.21  #Sup     : 7774
% 32.95/16.21  #Fact    : 0
% 32.95/16.21  #Define  : 0
% 32.95/16.21  #Split   : 3
% 32.95/16.21  #Chain   : 0
% 32.95/16.21  #Close   : 0
% 32.95/16.21  
% 32.95/16.21  Ordering : KBO
% 32.95/16.21  
% 32.95/16.21  Simplification rules
% 32.95/16.21  ----------------------
% 32.95/16.21  #Subsume      : 1493
% 32.95/16.21  #Demod        : 4546
% 32.95/16.21  #Tautology    : 6066
% 32.95/16.21  #SimpNegUnit  : 1105
% 32.95/16.21  #BackRed      : 1112
% 32.95/16.21  
% 32.95/16.21  #Partial instantiations: 0
% 32.95/16.21  #Strategies tried      : 1
% 32.95/16.21  
% 32.95/16.21  Timing (in seconds)
% 32.95/16.21  ----------------------
% 32.95/16.21  Preprocessing        : 0.82
% 32.95/16.21  Parsing              : 0.42
% 32.95/16.21  CNF conversion       : 0.05
% 32.95/16.21  Main loop            : 14.16
% 32.95/16.21  Inferencing          : 3.66
% 32.95/16.21  Reduction            : 7.40
% 32.95/16.21  Demodulation         : 6.13
% 32.95/16.21  BG Simplification    : 0.09
% 32.95/16.21  Subsumption          : 2.29
% 32.95/16.21  Abstraction          : 0.10
% 32.95/16.21  MUC search           : 0.00
% 32.95/16.21  Cooper               : 0.00
% 32.95/16.21  Total                : 15.21
% 32.95/16.21  Index Insertion      : 0.00
% 32.95/16.21  Index Deletion       : 0.00
% 32.95/16.21  Index Matching       : 0.00
% 32.95/16.21  BG Taut test         : 0.00
%------------------------------------------------------------------------------