%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SWV571-1.049 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n012.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 11:05:13 EDT 2023

% Result   : Unsatisfiable 37.46s 21.48s
% Output   : CNFRefutation 38.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   87
%            Number of leaves      :  674
% Syntax   : Number of formulae    : 1543 ( 922 unt; 409 typ;   0 def)
%            Number of atoms       : 1533 (1531 equ)
%            Maximal formula atoms :   19 (   1 avg)
%            Number of connectives :  410 (  11   ~; 399   |;   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    :  409 ( 409 usr; 405 con; 0-3 aty)
%            Number of variables   :  189 (; 189   !;   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_295 > queue_293 > queue_29 > queue_289 > queue_287 > queue_283 > queue_281 > queue_277 > queue_275 > queue_271 > queue_269 > queue_265 > queue_263 > 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 > q49 > q48 > q47 > q46 > q45 > q44 > 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_300 > index_30 > index_3 > index_299 > index_297 > index_294 > index_291 > index_288 > index_285 > index_282 > index_279 > index_276 > index_273 > index_270 > index_27 > index_267 > index_264 > 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_301 > elem_298 > 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_296 > earray_292 > earray_290 > earray_286 > earray_284 > earray_280 > earray_28 > earray_278 > earray_274 > earray_272 > earray_268 > earray_266 > earray_262 > 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 > e48 > e47 > e46 > e45 > e44 > e43 > 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(e43,type,
    e43: $i ).

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

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

tff(index_282,type,
    index_282: $i ).

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

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

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

tff(earray_274,type,
    earray_274: $i ).

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

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

tff(index_299,type,
    index_299: $i ).

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

tff(q45,type,
    q45: $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_287,type,
    queue_287: $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(q49,type,
    q49: $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(queue_263,type,
    queue_263: $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(q20,type,
    q20: $i ).

tff(index_267,type,
    index_267: $i ).

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

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

tff(earray_284,type,
    earray_284: $i ).

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

tff(index_291,type,
    index_291: $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(index_288,type,
    index_288: $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(q48,type,
    q48: $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_265,type,
    queue_265: $i ).

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

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

tff(earray_280,type,
    earray_280: $i ).

tff(earray_268,type,
    earray_268: $i ).

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

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

tff(elem_301,type,
    elem_301: $i ).

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

tff(queue_293,type,
    queue_293: $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(e48,type,
    e48: $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(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_277,type,
    queue_277: $i ).

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

tff(earray_292,type,
    earray_292: $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_295,type,
    queue_295: $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_273,type,
    index_273: $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(index_285,type,
    index_285: $i ).

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

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

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

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

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

tff(queue_281,type,
    queue_281: $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(earray_278,type,
    earray_278: $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_269,type,
    queue_269: $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(index_270,type,
    index_270: $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(index_300,type,
    index_300: $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(q47,type,
    q47: $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_271,type,
    queue_271: $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(index_294,type,
    index_294: $i ).

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

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

tff(earray_272,type,
    earray_272: $i ).

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

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

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

tff(q46,type,
    q46: $i ).

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

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

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

tff(queue_289,type,
    queue_289: $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(earray_290,type,
    earray_290: $i ).

tff(e45,type,
    e45: $i ).

tff(earray_296,type,
    earray_296: $i ).

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

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

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

tff(earray_286,type,
    earray_286: $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(index_276,type,
    index_276: $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(q44,type,
    q44: $i ).

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

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

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

tff(queue_283,type,
    queue_283: $i ).

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

tff(e47,type,
    e47: $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_262,type,
    earray_262: $i ).

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

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

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

tff(queue_275,type,
    queue_275: $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(index_279,type,
    index_279: $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(earray_266,type,
    earray_266: $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(index_297,type,
    index_297: $i ).

tff(e46,type,
    e46: $i ).

tff(elem_298,type,
    elem_298: $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(e44,type,
    e44: $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_32,axiom,
    head != tail,
    file(unknown,unknown) ).

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

tff(f_150,axiom,
    index_0 = select(q,tail),
    file(unknown,unknown) ).

tff(f_351,axiom,
    q0 = queue_1,
    file(unknown,unknown) ).

tff(f_252,axiom,
    queue_1 = store(q,head,index_0),
    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_367,axiom,
    q23 = queue_97,
    file(unknown,unknown) ).

tff(f_350,axiom,
    queue_97 = store(queue_95,tail,index_96),
    file(unknown,unknown) ).

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

tff(f_251,axiom,
    index_99 = select(q23,tail),
    file(unknown,unknown) ).

tff(f_151,axiom,
    index_102 = s(index_99),
    file(unknown,unknown) ).

tff(f_366,axiom,
    q22 = queue_91,
    file(unknown,unknown) ).

tff(f_348,axiom,
    queue_91 = store(queue_89,tail,index_90),
    file(unknown,unknown) ).

tff(f_249,axiom,
    index_93 = select(q22,tail),
    file(unknown,unknown) ).

tff(f_250,axiom,
    index_96 = s(index_93),
    file(unknown,unknown) ).

tff(f_248,axiom,
    index_90 = s(index_87),
    file(unknown,unknown) ).

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

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

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

tff(f_246,axiom,
    index_87 = select(q21,tail),
    file(unknown,unknown) ).

tff(f_354,axiom,
    q11 = queue_19,
    file(unknown,unknown) ).

tff(f_286,axiom,
    queue_19 = store(queue_17,tail,index_18),
    file(unknown,unknown) ).

tff(f_190,axiom,
    index_21 = select(q11,tail),
    file(unknown,unknown) ).

tff(f_201,axiom,
    index_24 = s(index_21),
    file(unknown,unknown) ).

tff(f_353,axiom,
    q10 = queue_13,
    file(unknown,unknown) ).

tff(f_264,axiom,
    queue_13 = store(queue_11,tail,index_12),
    file(unknown,unknown) ).

tff(f_168,axiom,
    index_15 = select(q10,tail),
    file(unknown,unknown) ).

tff(f_179,axiom,
    index_18 = s(index_15),
    file(unknown,unknown) ).

tff(f_374,axiom,
    q3 = queue_139,
    file(unknown,unknown) ).

tff(f_268,axiom,
    queue_139 = store(queue_137,tail,index_138),
    file(unknown,unknown) ).

tff(f_187,axiom,
    index_201 = select(q3,tail),
    file(unknown,unknown) ).

tff(f_188,axiom,
    index_204 = s(index_201),
    file(unknown,unknown) ).

tff(f_164,axiom,
    index_138 = s(index_135),
    file(unknown,unknown) ).

tff(f_163,axiom,
    index_135 = select(q2,tail),
    file(unknown,unknown) ).

tff(f_363,axiom,
    q2 = queue_73,
    file(unknown,unknown) ).

tff(f_342,axiom,
    queue_73 = store(queue_71,tail,index_72),
    file(unknown,unknown) ).

tff(f_241,axiom,
    index_72 = s(index_69),
    file(unknown,unknown) ).

tff(f_385,axiom,
    q4 = queue_205,
    file(unknown,unknown) ).

tff(f_292,axiom,
    queue_205 = store(queue_203,tail,index_204),
    file(unknown,unknown) ).

tff(f_211,axiom,
    index_267 = select(q4,tail),
    file(unknown,unknown) ).

tff(f_213,axiom,
    index_270 = s(index_267),
    file(unknown,unknown) ).

tff(f_396,axiom,
    q5 = queue_271,
    file(unknown,unknown) ).

tff(f_316,axiom,
    queue_271 = store(queue_269,tail,index_270),
    file(unknown,unknown) ).

tff(f_214,axiom,
    index_273 = select(q5,tail),
    file(unknown,unknown) ).

tff(f_397,axiom,
    q6 = queue_277,
    file(unknown,unknown) ).

tff(f_318,axiom,
    queue_277 = store(queue_275,tail,index_276),
    file(unknown,unknown) ).

tff(f_216,axiom,
    index_279 = select(q6,tail),
    file(unknown,unknown) ).

tff(f_217,axiom,
    index_282 = s(index_279),
    file(unknown,unknown) ).

tff(f_215,axiom,
    index_276 = s(index_273),
    file(unknown,unknown) ).

tff(f_157,axiom,
    index_12 = s(index_9),
    file(unknown,unknown) ).

tff(f_247,axiom,
    index_9 = select(q9,tail),
    file(unknown,unknown) ).

tff(f_400,axiom,
    q9 = queue_295,
    file(unknown,unknown) ).

tff(f_325,axiom,
    queue_295 = store(queue_293,tail,index_294),
    file(unknown,unknown) ).

tff(f_221,axiom,
    index_294 = s(index_291),
    file(unknown,unknown) ).

tff(f_220,axiom,
    index_291 = select(q8,tail),
    file(unknown,unknown) ).

tff(f_399,axiom,
    q8 = queue_289,
    file(unknown,unknown) ).

tff(f_322,axiom,
    queue_289 = store(queue_287,tail,index_288),
    file(unknown,unknown) ).

tff(f_219,axiom,
    index_288 = s(index_285),
    file(unknown,unknown) ).

tff(f_218,axiom,
    index_285 = select(q7,tail),
    file(unknown,unknown) ).

tff(f_398,axiom,
    q7 = queue_283,
    file(unknown,unknown) ).

tff(f_320,axiom,
    queue_283 = store(queue_281,tail,index_282),
    file(unknown,unknown) ).

tff(f_355,axiom,
    q12 = queue_25,
    file(unknown,unknown) ).

tff(f_308,axiom,
    queue_25 = store(queue_23,tail,index_24),
    file(unknown,unknown) ).

tff(f_212,axiom,
    index_27 = select(q12,tail),
    file(unknown,unknown) ).

tff(f_225,axiom,
    index_30 = s(index_27),
    file(unknown,unknown) ).

tff(f_356,axiom,
    q13 = queue_31,
    file(unknown,unknown) ).

tff(f_326,axiom,
    queue_31 = store(queue_29,tail,index_30),
    file(unknown,unknown) ).

tff(f_227,axiom,
    index_33 = select(q13,tail),
    file(unknown,unknown) ).

tff(f_228,axiom,
    index_36 = s(index_33),
    file(unknown,unknown) ).

tff(f_357,axiom,
    q14 = queue_37,
    file(unknown,unknown) ).

tff(f_328,axiom,
    queue_37 = store(queue_35,tail,index_36),
    file(unknown,unknown) ).

tff(f_229,axiom,
    index_39 = select(q14,tail),
    file(unknown,unknown) ).

tff(f_230,axiom,
    index_42 = s(index_39),
    file(unknown,unknown) ).

tff(f_358,axiom,
    q15 = queue_43,
    file(unknown,unknown) ).

tff(f_330,axiom,
    queue_43 = store(queue_41,tail,index_42),
    file(unknown,unknown) ).

tff(f_231,axiom,
    index_45 = select(q15,tail),
    file(unknown,unknown) ).

tff(f_232,axiom,
    index_48 = s(index_45),
    file(unknown,unknown) ).

tff(f_359,axiom,
    q16 = queue_49,
    file(unknown,unknown) ).

tff(f_332,axiom,
    queue_49 = store(queue_47,tail,index_48),
    file(unknown,unknown) ).

tff(f_233,axiom,
    index_51 = select(q16,tail),
    file(unknown,unknown) ).

tff(f_234,axiom,
    index_54 = s(index_51),
    file(unknown,unknown) ).

tff(f_360,axiom,
    q17 = queue_55,
    file(unknown,unknown) ).

tff(f_335,axiom,
    queue_55 = store(queue_53,tail,index_54),
    file(unknown,unknown) ).

tff(f_235,axiom,
    index_57 = select(q17,tail),
    file(unknown,unknown) ).

tff(f_237,axiom,
    index_60 = s(index_57),
    file(unknown,unknown) ).

tff(f_361,axiom,
    q18 = queue_61,
    file(unknown,unknown) ).

tff(f_337,axiom,
    queue_61 = store(queue_59,tail,index_60),
    file(unknown,unknown) ).

tff(f_238,axiom,
    index_63 = select(q18,tail),
    file(unknown,unknown) ).

tff(f_239,axiom,
    index_66 = s(index_63),
    file(unknown,unknown) ).

tff(f_362,axiom,
    q19 = queue_67,
    file(unknown,unknown) ).

tff(f_339,axiom,
    queue_67 = store(queue_65,tail,index_66),
    file(unknown,unknown) ).

tff(f_242,axiom,
    index_75 = select(q19,tail),
    file(unknown,unknown) ).

tff(f_243,axiom,
    index_78 = s(index_75),
    file(unknown,unknown) ).

tff(f_364,axiom,
    q20 = queue_79,
    file(unknown,unknown) ).

tff(f_344,axiom,
    queue_79 = store(queue_77,tail,index_78),
    file(unknown,unknown) ).

tff(f_244,axiom,
    index_81 = select(q20,tail),
    file(unknown,unknown) ).

tff(f_245,axiom,
    index_84 = s(index_81),
    file(unknown,unknown) ).

tff(f_365,axiom,
    q21 = queue_85,
    file(unknown,unknown) ).

tff(f_346,axiom,
    queue_85 = store(queue_83,tail,index_84),
    file(unknown,unknown) ).

tff(f_240,axiom,
    index_69 = select(q1,tail),
    file(unknown,unknown) ).

tff(f_352,axiom,
    q1 = queue_7,
    file(unknown,unknown) ).

tff(f_340,axiom,
    queue_7 = store(queue_5,tail,index_6),
    file(unknown,unknown) ).

tff(f_236,axiom,
    index_6 = s(index_3),
    file(unknown,unknown) ).

tff(f_224,axiom,
    index_3 = select(q0,tail),
    file(unknown,unknown) ).

tff(f_369,axiom,
    q25 = queue_109,
    file(unknown,unknown) ).

tff(f_256,axiom,
    queue_109 = store(queue_107,tail,index_108),
    file(unknown,unknown) ).

tff(f_154,axiom,
    index_111 = select(q25,tail),
    file(unknown,unknown) ).

tff(f_155,axiom,
    index_114 = s(index_111),
    file(unknown,unknown) ).

tff(f_368,axiom,
    q24 = queue_103,
    file(unknown,unknown) ).

tff(f_254,axiom,
    queue_103 = store(queue_101,tail,index_102),
    file(unknown,unknown) ).

tff(f_152,axiom,
    index_105 = select(q24,tail),
    file(unknown,unknown) ).

tff(f_153,axiom,
    index_108 = s(index_105),
    file(unknown,unknown) ).

tff(f_370,axiom,
    q26 = queue_115,
    file(unknown,unknown) ).

tff(f_259,axiom,
    queue_115 = store(queue_113,tail,index_114),
    file(unknown,unknown) ).

tff(f_156,axiom,
    index_117 = select(q26,tail),
    file(unknown,unknown) ).

tff(f_158,axiom,
    index_120 = s(index_117),
    file(unknown,unknown) ).

tff(f_371,axiom,
    q27 = queue_121,
    file(unknown,unknown) ).

tff(f_261,axiom,
    queue_121 = store(queue_119,tail,index_120),
    file(unknown,unknown) ).

tff(f_159,axiom,
    index_123 = select(q27,tail),
    file(unknown,unknown) ).

tff(f_160,axiom,
    index_126 = s(index_123),
    file(unknown,unknown) ).

tff(f_372,axiom,
    q28 = queue_127,
    file(unknown,unknown) ).

tff(f_263,axiom,
    queue_127 = store(queue_125,tail,index_126),
    file(unknown,unknown) ).

tff(f_161,axiom,
    index_129 = select(q28,tail),
    file(unknown,unknown) ).

tff(f_373,axiom,
    q29 = queue_133,
    file(unknown,unknown) ).

tff(f_266,axiom,
    queue_133 = store(queue_131,tail,index_132),
    file(unknown,unknown) ).

tff(f_165,axiom,
    index_141 = select(q29,tail),
    file(unknown,unknown) ).

tff(f_166,axiom,
    index_144 = s(index_141),
    file(unknown,unknown) ).

tff(f_162,axiom,
    index_132 = s(index_129),
    file(unknown,unknown) ).

tff(f_375,axiom,
    q30 = queue_145,
    file(unknown,unknown) ).

tff(f_270,axiom,
    queue_145 = store(queue_143,tail,index_144),
    file(unknown,unknown) ).

tff(f_167,axiom,
    index_147 = select(q30,tail),
    file(unknown,unknown) ).

tff(f_169,axiom,
    index_150 = s(index_147),
    file(unknown,unknown) ).

tff(f_376,axiom,
    q31 = queue_151,
    file(unknown,unknown) ).

tff(f_272,axiom,
    queue_151 = store(queue_149,tail,index_150),
    file(unknown,unknown) ).

tff(f_170,axiom,
    index_153 = select(q31,tail),
    file(unknown,unknown) ).

tff(f_171,axiom,
    index_156 = s(index_153),
    file(unknown,unknown) ).

tff(f_377,axiom,
    q32 = queue_157,
    file(unknown,unknown) ).

tff(f_274,axiom,
    queue_157 = store(queue_155,tail,index_156),
    file(unknown,unknown) ).

tff(f_172,axiom,
    index_159 = select(q32,tail),
    file(unknown,unknown) ).

tff(f_173,axiom,
    index_162 = s(index_159),
    file(unknown,unknown) ).

tff(f_378,axiom,
    q33 = queue_163,
    file(unknown,unknown) ).

tff(f_276,axiom,
    queue_163 = store(queue_161,tail,index_162),
    file(unknown,unknown) ).

tff(f_174,axiom,
    index_165 = select(q33,tail),
    file(unknown,unknown) ).

tff(f_175,axiom,
    index_168 = s(index_165),
    file(unknown,unknown) ).

tff(f_379,axiom,
    q34 = queue_169,
    file(unknown,unknown) ).

tff(f_278,axiom,
    queue_169 = store(queue_167,tail,index_168),
    file(unknown,unknown) ).

tff(f_176,axiom,
    index_171 = select(q34,tail),
    file(unknown,unknown) ).

tff(f_177,axiom,
    index_174 = s(index_171),
    file(unknown,unknown) ).

tff(f_380,axiom,
    q35 = queue_175,
    file(unknown,unknown) ).

tff(f_281,axiom,
    queue_175 = store(queue_173,tail,index_174),
    file(unknown,unknown) ).

tff(f_178,axiom,
    index_177 = select(q35,tail),
    file(unknown,unknown) ).

tff(f_180,axiom,
    index_180 = s(index_177),
    file(unknown,unknown) ).

tff(f_381,axiom,
    q36 = queue_181,
    file(unknown,unknown) ).

tff(f_283,axiom,
    queue_181 = store(queue_179,tail,index_180),
    file(unknown,unknown) ).

tff(f_181,axiom,
    index_183 = select(q36,tail),
    file(unknown,unknown) ).

tff(f_382,axiom,
    q37 = queue_187,
    file(unknown,unknown) ).

tff(f_285,axiom,
    queue_187 = store(queue_185,tail,index_186),
    file(unknown,unknown) ).

tff(f_183,axiom,
    index_189 = select(q37,tail),
    file(unknown,unknown) ).

tff(f_184,axiom,
    index_192 = s(index_189),
    file(unknown,unknown) ).

tff(f_182,axiom,
    index_186 = s(index_183),
    file(unknown,unknown) ).

tff(f_383,axiom,
    q38 = queue_193,
    file(unknown,unknown) ).

tff(f_288,axiom,
    queue_193 = store(queue_191,tail,index_192),
    file(unknown,unknown) ).

tff(f_185,axiom,
    index_195 = select(q38,tail),
    file(unknown,unknown) ).

tff(f_186,axiom,
    index_198 = s(index_195),
    file(unknown,unknown) ).

tff(f_384,axiom,
    q39 = queue_199,
    file(unknown,unknown) ).

tff(f_290,axiom,
    queue_199 = store(queue_197,tail,index_198),
    file(unknown,unknown) ).

tff(f_189,axiom,
    index_207 = select(q39,tail),
    file(unknown,unknown) ).

tff(f_191,axiom,
    index_210 = s(index_207),
    file(unknown,unknown) ).

tff(f_386,axiom,
    q40 = queue_211,
    file(unknown,unknown) ).

tff(f_294,axiom,
    queue_211 = store(queue_209,tail,index_210),
    file(unknown,unknown) ).

tff(f_192,axiom,
    index_213 = select(q40,tail),
    file(unknown,unknown) ).

tff(f_193,axiom,
    index_216 = s(index_213),
    file(unknown,unknown) ).

tff(f_387,axiom,
    q41 = queue_217,
    file(unknown,unknown) ).

tff(f_296,axiom,
    queue_217 = store(queue_215,tail,index_216),
    file(unknown,unknown) ).

tff(f_194,axiom,
    index_219 = select(q41,tail),
    file(unknown,unknown) ).

tff(f_195,axiom,
    index_222 = s(index_219),
    file(unknown,unknown) ).

tff(f_388,axiom,
    q42 = queue_223,
    file(unknown,unknown) ).

tff(f_298,axiom,
    queue_223 = store(queue_221,tail,index_222),
    file(unknown,unknown) ).

tff(f_196,axiom,
    index_225 = select(q42,tail),
    file(unknown,unknown) ).

tff(f_197,axiom,
    index_228 = s(index_225),
    file(unknown,unknown) ).

tff(f_389,axiom,
    q43 = queue_229,
    file(unknown,unknown) ).

tff(f_300,axiom,
    queue_229 = store(queue_227,tail,index_228),
    file(unknown,unknown) ).

tff(f_198,axiom,
    index_231 = select(q43,tail),
    file(unknown,unknown) ).

tff(f_390,axiom,
    q44 = queue_235,
    file(unknown,unknown) ).

tff(f_303,axiom,
    queue_235 = store(queue_233,tail,index_234),
    file(unknown,unknown) ).

tff(f_200,axiom,
    index_237 = select(q44,tail),
    file(unknown,unknown) ).

tff(f_202,axiom,
    index_240 = s(index_237),
    file(unknown,unknown) ).

tff(f_199,axiom,
    index_234 = s(index_231),
    file(unknown,unknown) ).

tff(f_391,axiom,
    q45 = queue_241,
    file(unknown,unknown) ).

tff(f_305,axiom,
    queue_241 = store(queue_239,tail,index_240),
    file(unknown,unknown) ).

tff(f_203,axiom,
    index_243 = select(q45,tail),
    file(unknown,unknown) ).

tff(f_204,axiom,
    index_246 = s(index_243),
    file(unknown,unknown) ).

tff(f_392,axiom,
    q46 = queue_247,
    file(unknown,unknown) ).

tff(f_307,axiom,
    queue_247 = store(queue_245,tail,index_246),
    file(unknown,unknown) ).

tff(f_205,axiom,
    index_249 = select(q46,tail),
    file(unknown,unknown) ).

tff(f_393,axiom,
    q47 = queue_253,
    file(unknown,unknown) ).

tff(f_310,axiom,
    queue_253 = store(queue_251,tail,index_252),
    file(unknown,unknown) ).

tff(f_207,axiom,
    index_255 = select(q47,tail),
    file(unknown,unknown) ).

tff(f_208,axiom,
    index_258 = s(index_255),
    file(unknown,unknown) ).

tff(f_206,axiom,
    index_252 = s(index_249),
    file(unknown,unknown) ).

tff(f_394,axiom,
    q48 = queue_259,
    file(unknown,unknown) ).

tff(f_312,axiom,
    queue_259 = store(queue_257,tail,index_258),
    file(unknown,unknown) ).

tff(f_209,axiom,
    index_261 = select(q48,tail),
    file(unknown,unknown) ).

tff(f_110,axiom,
    earray_262 = store(earray_260,index_261,e48),
    file(unknown,unknown) ).

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

tff(f_122,axiom,
    earray_296 = select(q49,seq),
    file(unknown,unknown) ).

tff(f_395,axiom,
    q49 = queue_265,
    file(unknown,unknown) ).

tff(f_314,axiom,
    queue_265 = store(queue_263,tail,index_264),
    file(unknown,unknown) ).

tff(f_313,axiom,
    queue_263 = store(q48,seq,earray_262),
    file(unknown,unknown) ).

tff(f_210,axiom,
    index_264 = s(index_261),
    file(unknown,unknown) ).

tff(f_223,axiom,
    index_299 = select(q49,tail),
    file(unknown,unknown) ).

tff(f_226,axiom,
    s(index_300) = index_299,
    file(unknown,unknown) ).

tff(f_149,axiom,
    elem_301 = select(earray_296,index_300),
    file(unknown,unknown) ).

tff(f_402,axiom,
    elem_298 != elem_301,
    file(unknown,unknown) ).

tff(f_148,axiom,
    elem_298 = select(earray_296,index_297),
    file(unknown,unknown) ).

tff(f_109,axiom,
    earray_260 = select(q48,seq),
    file(unknown,unknown) ).

tff(f_311,axiom,
    queue_257 = store(q47,seq,earray_256),
    file(unknown,unknown) ).

tff(f_315,axiom,
    queue_269 = store(q4,seq,earray_268),
    file(unknown,unknown) ).

tff(f_317,axiom,
    queue_275 = store(q5,seq,earray_274),
    file(unknown,unknown) ).

tff(f_321,axiom,
    queue_287 = store(q7,seq,earray_286),
    file(unknown,unknown) ).

tff(f_257,axiom,
    queue_11 = store(q9,seq,earray_10),
    file(unknown,unknown) ).

tff(f_324,axiom,
    queue_293 = store(q8,seq,earray_292),
    file(unknown,unknown) ).

tff(f_319,axiom,
    queue_281 = store(q6,seq,earray_280),
    file(unknown,unknown) ).

tff(f_291,axiom,
    queue_203 = store(q3,seq,earray_202),
    file(unknown,unknown) ).

tff(f_267,axiom,
    queue_137 = store(q2,seq,earray_136),
    file(unknown,unknown) ).

tff(f_341,axiom,
    queue_71 = store(q1,seq,earray_70),
    file(unknown,unknown) ).

tff(f_323,axiom,
    queue_29 = store(q12,seq,earray_28),
    file(unknown,unknown) ).

tff(f_338,axiom,
    queue_65 = store(q18,seq,earray_64),
    file(unknown,unknown) ).

tff(f_347,axiom,
    queue_89 = store(q21,seq,earray_88),
    file(unknown,unknown) ).

tff(f_253,axiom,
    queue_101 = store(q23,seq,earray_100),
    file(unknown,unknown) ).

tff(f_255,axiom,
    queue_107 = store(q24,seq,earray_106),
    file(unknown,unknown) ).

tff(f_258,axiom,
    queue_113 = store(q25,seq,earray_112),
    file(unknown,unknown) ).

tff(f_260,axiom,
    queue_119 = store(q26,seq,earray_118),
    file(unknown,unknown) ).

tff(f_275,axiom,
    queue_161 = store(q32,seq,earray_160),
    file(unknown,unknown) ).

tff(f_284,axiom,
    queue_185 = store(q36,seq,earray_184),
    file(unknown,unknown) ).

tff(f_293,axiom,
    queue_209 = store(q39,seq,earray_208),
    file(unknown,unknown) ).

tff(f_302,axiom,
    queue_233 = store(q43,seq,earray_232),
    file(unknown,unknown) ).

tff(f_304,axiom,
    queue_239 = store(q44,seq,earray_238),
    file(unknown,unknown) ).

tff(f_306,axiom,
    queue_245 = store(q45,seq,earray_244),
    file(unknown,unknown) ).

tff(f_309,axiom,
    queue_251 = store(q46,seq,earray_250),
    file(unknown,unknown) ).

tff(f_222,axiom,
    index_297 = select(q49,head),
    file(unknown,unknown) ).

tff(f_299,axiom,
    queue_227 = store(q42,seq,earray_226),
    file(unknown,unknown) ).

tff(f_297,axiom,
    queue_221 = store(q41,seq,earray_220),
    file(unknown,unknown) ).

tff(f_295,axiom,
    queue_215 = store(q40,seq,earray_214),
    file(unknown,unknown) ).

tff(f_289,axiom,
    queue_197 = store(q38,seq,earray_196),
    file(unknown,unknown) ).

tff(f_287,axiom,
    queue_191 = store(q37,seq,earray_190),
    file(unknown,unknown) ).

tff(f_282,axiom,
    queue_179 = store(q35,seq,earray_178),
    file(unknown,unknown) ).

tff(f_280,axiom,
    queue_173 = store(q34,seq,earray_172),
    file(unknown,unknown) ).

tff(f_277,axiom,
    queue_167 = store(q33,seq,earray_166),
    file(unknown,unknown) ).

tff(f_273,axiom,
    queue_155 = store(q31,seq,earray_154),
    file(unknown,unknown) ).

tff(f_271,axiom,
    queue_149 = store(q30,seq,earray_148),
    file(unknown,unknown) ).

tff(f_269,axiom,
    queue_143 = store(q29,seq,earray_142),
    file(unknown,unknown) ).

tff(f_265,axiom,
    queue_131 = store(q28,seq,earray_130),
    file(unknown,unknown) ).

tff(f_262,axiom,
    queue_125 = store(q27,seq,earray_124),
    file(unknown,unknown) ).

tff(f_349,axiom,
    queue_95 = store(q22,seq,earray_94),
    file(unknown,unknown) ).

tff(f_345,axiom,
    queue_83 = store(q20,seq,earray_82),
    file(unknown,unknown) ).

tff(f_343,axiom,
    queue_77 = store(q19,seq,earray_76),
    file(unknown,unknown) ).

tff(f_336,axiom,
    queue_59 = store(q17,seq,earray_58),
    file(unknown,unknown) ).

tff(f_334,axiom,
    queue_53 = store(q16,seq,earray_52),
    file(unknown,unknown) ).

tff(f_331,axiom,
    queue_47 = store(q15,seq,earray_46),
    file(unknown,unknown) ).

tff(f_329,axiom,
    queue_41 = store(q14,seq,earray_40),
    file(unknown,unknown) ).

tff(f_327,axiom,
    queue_35 = store(q13,seq,earray_34),
    file(unknown,unknown) ).

tff(f_301,axiom,
    queue_23 = store(q11,seq,earray_22),
    file(unknown,unknown) ).

tff(f_279,axiom,
    queue_17 = store(q10,seq,earray_16),
    file(unknown,unknown) ).

tff(f_333,axiom,
    queue_5 = store(q0,seq,earray_4),
    file(unknown,unknown) ).

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

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

tff(c_224,plain,
    select(q,tail) = index_0,
    inference(cnfTransformation,[status(thm)],[f_150]) ).

tff(c_626,plain,
    queue_1 = q0,
    inference(cnfTransformation,[status(thm)],[f_351]) ).

tff(c_428,plain,
    store(q,head,index_0) = queue_1,
    inference(cnfTransformation,[status(thm)],[f_252]) ).

tff(c_776,plain,
    store(q,head,index_0) = q0,
    inference(demodulation,[status(thm),theory(equality)],[c_626,c_428]) ).

tff(c_5970,plain,
    ! [A_24,I_25,E_26,J_27] :
      ( ( select(store(A_24,I_25,E_26),J_27) = select(A_24,J_27) )
      | ( J_27 = I_25 ) ),
    inference(cnfTransformation,[status(thm)],[f_30]) ).

tff(c_22891,plain,
    ! [J_314] :
      ( ( select(q0,J_314) = select(q,J_314) )
      | ( head = J_314 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_776,c_5970]) ).

tff(c_658,plain,
    queue_97 = q23,
    inference(cnfTransformation,[status(thm)],[f_367]) ).

tff(c_624,plain,
    store(queue_95,tail,index_96) = queue_97,
    inference(cnfTransformation,[status(thm)],[f_350]) ).

tff(c_727,plain,
    store(queue_95,tail,index_96) = q23,
    inference(demodulation,[status(thm),theory(equality)],[c_658,c_624]) ).

tff(c_5468,plain,
    ! [A_21,I_22,E_23] : ( select(store(A_21,I_22,E_23),I_22) = E_23 ),
    inference(cnfTransformation,[status(thm)],[f_26]) ).

tff(c_5738,plain,
    select(q23,tail) = index_96,
    inference(superposition,[status(thm),theory(equality)],[c_727,c_5468]) ).

tff(c_426,plain,
    select(q23,tail) = index_99,
    inference(cnfTransformation,[status(thm)],[f_251]) ).

tff(c_8178,plain,
    index_99 = index_96,
    inference(demodulation,[status(thm),theory(equality)],[c_5738,c_426]) ).

tff(c_226,plain,
    s(index_99) = index_102,
    inference(cnfTransformation,[status(thm)],[f_151]) ).

tff(c_8189,plain,
    s(index_96) = index_102,
    inference(demodulation,[status(thm),theory(equality)],[c_8178,c_226]) ).

tff(c_656,plain,
    queue_91 = q22,
    inference(cnfTransformation,[status(thm)],[f_366]) ).

tff(c_620,plain,
    store(queue_89,tail,index_90) = queue_91,
    inference(cnfTransformation,[status(thm)],[f_348]) ).

tff(c_728,plain,
    store(queue_89,tail,index_90) = q22,
    inference(demodulation,[status(thm),theory(equality)],[c_656,c_620]) ).

tff(c_5609,plain,
    select(q22,tail) = index_90,
    inference(superposition,[status(thm),theory(equality)],[c_728,c_5468]) ).

tff(c_422,plain,
    select(q22,tail) = index_93,
    inference(cnfTransformation,[status(thm)],[f_249]) ).

tff(c_7920,plain,
    index_93 = index_90,
    inference(demodulation,[status(thm),theory(equality)],[c_5609,c_422]) ).

tff(c_424,plain,
    s(index_93) = index_96,
    inference(cnfTransformation,[status(thm)],[f_250]) ).

tff(c_7932,plain,
    s(index_90) = index_96,
    inference(demodulation,[status(thm),theory(equality)],[c_7920,c_424]) ).

tff(c_420,plain,
    s(index_87) = index_90,
    inference(cnfTransformation,[status(thm)],[f_248]) ).

tff(c_3439,plain,
    ! [X_20] : ( s(s(s(X_20))) = X_20 ),
    inference(cnfTransformation,[status(thm)],[f_48]) ).

tff(c_3613,plain,
    s(s(index_90)) = index_87,
    inference(superposition,[status(thm),theory(equality)],[c_420,c_3439]) ).

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

tff(c_3862,plain,
    s(index_90) = p(index_87),
    inference(superposition,[status(thm),theory(equality)],[c_3613,c_12]) ).

tff(c_7938,plain,
    p(index_87) = index_96,
    inference(demodulation,[status(thm),theory(equality)],[c_7932,c_3862]) ).

tff(c_14,plain,
    ! [X_9] : ( s(p(X_9)) = X_9 ),
    inference(cnfTransformation,[status(thm)],[f_40]) ).

tff(c_7985,plain,
    s(index_96) = index_87,
    inference(superposition,[status(thm),theory(equality)],[c_7938,c_14]) ).

tff(c_8194,plain,
    index_87 = index_102,
    inference(demodulation,[status(thm),theory(equality)],[c_8189,c_7985]) ).

tff(c_416,plain,
    select(q21,tail) = index_87,
    inference(cnfTransformation,[status(thm)],[f_246]) ).

tff(c_8221,plain,
    select(q21,tail) = index_102,
    inference(demodulation,[status(thm),theory(equality)],[c_8194,c_416]) ).

tff(c_632,plain,
    queue_19 = q11,
    inference(cnfTransformation,[status(thm)],[f_354]) ).

tff(c_496,plain,
    store(queue_17,tail,index_18) = queue_19,
    inference(cnfTransformation,[status(thm)],[f_286]) ).

tff(c_759,plain,
    store(queue_17,tail,index_18) = q11,
    inference(demodulation,[status(thm),theory(equality)],[c_632,c_496]) ).

tff(c_5483,plain,
    select(q11,tail) = index_18,
    inference(superposition,[status(thm),theory(equality)],[c_759,c_5468]) ).

tff(c_304,plain,
    select(q11,tail) = index_21,
    inference(cnfTransformation,[status(thm)],[f_190]) ).

tff(c_7122,plain,
    index_21 = index_18,
    inference(demodulation,[status(thm),theory(equality)],[c_5483,c_304]) ).

tff(c_326,plain,
    s(index_21) = index_24,
    inference(cnfTransformation,[status(thm)],[f_201]) ).

tff(c_7133,plain,
    s(index_18) = index_24,
    inference(demodulation,[status(thm),theory(equality)],[c_7122,c_326]) ).

tff(c_630,plain,
    queue_13 = q10,
    inference(cnfTransformation,[status(thm)],[f_353]) ).

tff(c_452,plain,
    store(queue_11,tail,index_12) = queue_13,
    inference(cnfTransformation,[status(thm)],[f_264]) ).

tff(c_770,plain,
    store(queue_11,tail,index_12) = q10,
    inference(demodulation,[status(thm),theory(equality)],[c_630,c_452]) ).

tff(c_5495,plain,
    select(q10,tail) = index_12,
    inference(superposition,[status(thm),theory(equality)],[c_770,c_5468]) ).

tff(c_260,plain,
    select(q10,tail) = index_15,
    inference(cnfTransformation,[status(thm)],[f_168]) ).

tff(c_7755,plain,
    index_15 = index_12,
    inference(demodulation,[status(thm),theory(equality)],[c_5495,c_260]) ).

tff(c_282,plain,
    s(index_15) = index_18,
    inference(cnfTransformation,[status(thm)],[f_179]) ).

tff(c_7766,plain,
    s(index_12) = index_18,
    inference(demodulation,[status(thm),theory(equality)],[c_7755,c_282]) ).

tff(c_672,plain,
    queue_139 = q3,
    inference(cnfTransformation,[status(thm)],[f_374]) ).

tff(c_460,plain,
    store(queue_137,tail,index_138) = queue_139,
    inference(cnfTransformation,[status(thm)],[f_268]) ).

tff(c_768,plain,
    store(queue_137,tail,index_138) = q3,
    inference(demodulation,[status(thm),theory(equality)],[c_672,c_460]) ).

tff(c_5876,plain,
    select(q3,tail) = index_138,
    inference(superposition,[status(thm),theory(equality)],[c_768,c_5468]) ).

tff(c_298,plain,
    select(q3,tail) = index_201,
    inference(cnfTransformation,[status(thm)],[f_187]) ).

tff(c_8502,plain,
    index_201 = index_138,
    inference(demodulation,[status(thm),theory(equality)],[c_5876,c_298]) ).

tff(c_300,plain,
    s(index_201) = index_204,
    inference(cnfTransformation,[status(thm)],[f_188]) ).

tff(c_8514,plain,
    s(index_138) = index_204,
    inference(demodulation,[status(thm),theory(equality)],[c_8502,c_300]) ).

tff(c_252,plain,
    s(index_135) = index_138,
    inference(cnfTransformation,[status(thm)],[f_164]) ).

tff(c_250,plain,
    select(q2,tail) = index_135,
    inference(cnfTransformation,[status(thm)],[f_163]) ).

tff(c_650,plain,
    queue_73 = q2,
    inference(cnfTransformation,[status(thm)],[f_363]) ).

tff(c_608,plain,
    store(queue_71,tail,index_72) = queue_73,
    inference(cnfTransformation,[status(thm)],[f_342]) ).

tff(c_731,plain,
    store(queue_71,tail,index_72) = q2,
    inference(demodulation,[status(thm),theory(equality)],[c_650,c_608]) ).

tff(c_5687,plain,
    select(q2,tail) = index_72,
    inference(superposition,[status(thm),theory(equality)],[c_731,c_5468]) ).

tff(c_5897,plain,
    index_72 = index_135,
    inference(demodulation,[status(thm),theory(equality)],[c_250,c_5687]) ).

tff(c_406,plain,
    s(index_69) = index_72,
    inference(cnfTransformation,[status(thm)],[f_241]) ).

tff(c_5903,plain,
    s(index_69) = index_135,
    inference(demodulation,[status(thm),theory(equality)],[c_5897,c_406]) ).

tff(c_20,plain,
    ! [X_12] : ( s(s(s(X_12))) = X_12 ),
    inference(cnfTransformation,[status(thm)],[f_48]) ).

tff(c_5927,plain,
    s(s(index_135)) = index_69,
    inference(superposition,[status(thm),theory(equality)],[c_5903,c_20]) ).

tff(c_5942,plain,
    s(index_138) = index_69,
    inference(demodulation,[status(thm),theory(equality)],[c_252,c_5927]) ).

tff(c_8520,plain,
    index_69 = index_204,
    inference(demodulation,[status(thm),theory(equality)],[c_8514,c_5942]) ).

tff(c_1493,plain,
    ! [X_16] : ( p(s(X_16)) = X_16 ),
    inference(cnfTransformation,[status(thm)],[f_38]) ).

tff(c_1637,plain,
    p(index_72) = index_69,
    inference(superposition,[status(thm),theory(equality)],[c_406,c_1493]) ).

tff(c_5901,plain,
    p(index_135) = index_69,
    inference(demodulation,[status(thm),theory(equality)],[c_5897,c_1637]) ).

tff(c_8545,plain,
    p(index_135) = index_204,
    inference(demodulation,[status(thm),theory(equality)],[c_8520,c_5901]) ).

tff(c_8543,plain,
    s(index_204) = index_135,
    inference(demodulation,[status(thm),theory(equality)],[c_8520,c_5903]) ).

tff(c_694,plain,
    queue_205 = q4,
    inference(cnfTransformation,[status(thm)],[f_385]) ).

tff(c_508,plain,
    store(queue_203,tail,index_204) = queue_205,
    inference(cnfTransformation,[status(thm)],[f_292]) ).

tff(c_756,plain,
    store(queue_203,tail,index_204) = q4,
    inference(demodulation,[status(thm),theory(equality)],[c_694,c_508]) ).

tff(c_5606,plain,
    select(q4,tail) = index_204,
    inference(superposition,[status(thm),theory(equality)],[c_756,c_5468]) ).

tff(c_346,plain,
    select(q4,tail) = index_267,
    inference(cnfTransformation,[status(thm)],[f_211]) ).

tff(c_8809,plain,
    index_267 = index_204,
    inference(demodulation,[status(thm),theory(equality)],[c_5606,c_346]) ).

tff(c_350,plain,
    s(index_267) = index_270,
    inference(cnfTransformation,[status(thm)],[f_213]) ).

tff(c_8819,plain,
    s(index_204) = index_270,
    inference(demodulation,[status(thm),theory(equality)],[c_8809,c_350]) ).

tff(c_8822,plain,
    index_270 = index_135,
    inference(demodulation,[status(thm),theory(equality)],[c_8543,c_8819]) ).

tff(c_716,plain,
    queue_271 = q5,
    inference(cnfTransformation,[status(thm)],[f_396]) ).

tff(c_556,plain,
    store(queue_269,tail,index_270) = queue_271,
    inference(cnfTransformation,[status(thm)],[f_316]) ).

tff(c_744,plain,
    store(queue_269,tail,index_270) = q5,
    inference(demodulation,[status(thm),theory(equality)],[c_716,c_556]) ).

tff(c_5507,plain,
    select(q5,tail) = index_270,
    inference(superposition,[status(thm),theory(equality)],[c_744,c_5468]) ).

tff(c_10316,plain,
    select(q5,tail) = index_135,
    inference(demodulation,[status(thm),theory(equality)],[c_8822,c_5507]) ).

tff(c_352,plain,
    select(q5,tail) = index_273,
    inference(cnfTransformation,[status(thm)],[f_214]) ).

tff(c_10317,plain,
    index_273 = index_135,
    inference(demodulation,[status(thm),theory(equality)],[c_10316,c_352]) ).

tff(c_718,plain,
    queue_277 = q6,
    inference(cnfTransformation,[status(thm)],[f_397]) ).

tff(c_560,plain,
    store(queue_275,tail,index_276) = queue_277,
    inference(cnfTransformation,[status(thm)],[f_318]) ).

tff(c_743,plain,
    store(queue_275,tail,index_276) = q6,
    inference(demodulation,[status(thm),theory(equality)],[c_718,c_560]) ).

tff(c_2,plain,
    ! [A_1,I_2,E_3] : ( select(store(A_1,I_2,E_3),I_2) = E_3 ),
    inference(cnfTransformation,[status(thm)],[f_26]) ).

tff(c_6809,plain,
    select(q6,tail) = index_276,
    inference(superposition,[status(thm),theory(equality)],[c_743,c_2]) ).

tff(c_356,plain,
    select(q6,tail) = index_279,
    inference(cnfTransformation,[status(thm)],[f_216]) ).

tff(c_9070,plain,
    index_279 = index_276,
    inference(demodulation,[status(thm),theory(equality)],[c_6809,c_356]) ).

tff(c_358,plain,
    s(index_279) = index_282,
    inference(cnfTransformation,[status(thm)],[f_217]) ).

tff(c_9082,plain,
    s(index_276) = index_282,
    inference(demodulation,[status(thm),theory(equality)],[c_9070,c_358]) ).

tff(c_354,plain,
    s(index_273) = index_276,
    inference(cnfTransformation,[status(thm)],[f_215]) ).

tff(c_3556,plain,
    s(s(index_276)) = index_273,
    inference(superposition,[status(thm),theory(equality)],[c_354,c_3439]) ).

tff(c_4400,plain,
    s(index_276) = p(index_273),
    inference(superposition,[status(thm),theory(equality)],[c_3556,c_12]) ).

tff(c_9102,plain,
    p(index_273) = index_282,
    inference(demodulation,[status(thm),theory(equality)],[c_9082,c_4400]) ).

tff(c_10342,plain,
    p(index_135) = index_282,
    inference(demodulation,[status(thm),theory(equality)],[c_10317,c_9102]) ).

tff(c_10349,plain,
    index_282 = index_204,
    inference(demodulation,[status(thm),theory(equality)],[c_8545,c_10342]) ).

tff(c_3508,plain,
    s(s(index_18)) = index_15,
    inference(superposition,[status(thm),theory(equality)],[c_282,c_3439]) ).

tff(c_7139,plain,
    s(index_24) = index_15,
    inference(demodulation,[status(thm),theory(equality)],[c_7133,c_3508]) ).

tff(c_7761,plain,
    s(index_24) = index_12,
    inference(demodulation,[status(thm),theory(equality)],[c_7755,c_7139]) ).

tff(c_238,plain,
    s(index_9) = index_12,
    inference(cnfTransformation,[status(thm)],[f_157]) ).

tff(c_3598,plain,
    s(s(index_12)) = index_9,
    inference(superposition,[status(thm),theory(equality)],[c_238,c_3439]) ).

tff(c_7791,plain,
    s(index_18) = index_9,
    inference(demodulation,[status(thm),theory(equality)],[c_7766,c_3598]) ).

tff(c_7793,plain,
    index_9 = index_24,
    inference(demodulation,[status(thm),theory(equality)],[c_7133,c_7791]) ).

tff(c_418,plain,
    select(q9,tail) = index_9,
    inference(cnfTransformation,[status(thm)],[f_247]) ).

tff(c_7820,plain,
    select(q9,tail) = index_24,
    inference(demodulation,[status(thm),theory(equality)],[c_7793,c_418]) ).

tff(c_724,plain,
    queue_295 = q9,
    inference(cnfTransformation,[status(thm)],[f_400]) ).

tff(c_574,plain,
    store(queue_293,tail,index_294) = queue_295,
    inference(cnfTransformation,[status(thm)],[f_325]) ).

tff(c_740,plain,
    store(queue_293,tail,index_294) = q9,
    inference(demodulation,[status(thm),theory(equality)],[c_724,c_574]) ).

tff(c_6577,plain,
    select(q9,tail) = index_294,
    inference(superposition,[status(thm),theory(equality)],[c_740,c_2]) ).

tff(c_8613,plain,
    index_294 = index_24,
    inference(demodulation,[status(thm),theory(equality)],[c_7820,c_6577]) ).

tff(c_366,plain,
    s(index_291) = index_294,
    inference(cnfTransformation,[status(thm)],[f_221]) ).

tff(c_3625,plain,
    s(s(index_294)) = index_291,
    inference(superposition,[status(thm),theory(equality)],[c_366,c_3439]) ).

tff(c_8615,plain,
    s(s(index_24)) = index_291,
    inference(demodulation,[status(thm),theory(equality)],[c_8613,c_3625]) ).

tff(c_8621,plain,
    index_291 = index_18,
    inference(demodulation,[status(thm),theory(equality)],[c_7766,c_7761,c_8615]) ).

tff(c_364,plain,
    select(q8,tail) = index_291,
    inference(cnfTransformation,[status(thm)],[f_220]) ).

tff(c_8654,plain,
    select(q8,tail) = index_18,
    inference(demodulation,[status(thm),theory(equality)],[c_8621,c_364]) ).

tff(c_722,plain,
    queue_289 = q8,
    inference(cnfTransformation,[status(thm)],[f_399]) ).

tff(c_568,plain,
    store(queue_287,tail,index_288) = queue_289,
    inference(cnfTransformation,[status(thm)],[f_322]) ).

tff(c_741,plain,
    store(queue_287,tail,index_288) = q8,
    inference(demodulation,[status(thm),theory(equality)],[c_722,c_568]) ).

tff(c_6441,plain,
    select(q8,tail) = index_288,
    inference(superposition,[status(thm),theory(equality)],[c_741,c_2]) ).

tff(c_9472,plain,
    index_288 = index_18,
    inference(demodulation,[status(thm),theory(equality)],[c_8654,c_6441]) ).

tff(c_362,plain,
    s(index_285) = index_288,
    inference(cnfTransformation,[status(thm)],[f_219]) ).

tff(c_3565,plain,
    s(s(index_288)) = index_285,
    inference(superposition,[status(thm),theory(equality)],[c_362,c_3439]) ).

tff(c_9474,plain,
    s(s(index_18)) = index_285,
    inference(demodulation,[status(thm),theory(equality)],[c_9472,c_3565]) ).

tff(c_9480,plain,
    index_285 = index_12,
    inference(demodulation,[status(thm),theory(equality)],[c_7761,c_7133,c_9474]) ).

tff(c_360,plain,
    select(q7,tail) = index_285,
    inference(cnfTransformation,[status(thm)],[f_218]) ).

tff(c_9489,plain,
    select(q7,tail) = index_12,
    inference(demodulation,[status(thm),theory(equality)],[c_9480,c_360]) ).

tff(c_720,plain,
    queue_283 = q7,
    inference(cnfTransformation,[status(thm)],[f_398]) ).

tff(c_564,plain,
    store(queue_281,tail,index_282) = queue_283,
    inference(cnfTransformation,[status(thm)],[f_320]) ).

tff(c_742,plain,
    store(queue_281,tail,index_282) = q7,
    inference(demodulation,[status(thm),theory(equality)],[c_720,c_564]) ).

tff(c_5810,plain,
    select(q7,tail) = index_282,
    inference(superposition,[status(thm),theory(equality)],[c_742,c_5468]) ).

tff(c_10444,plain,
    index_204 = index_12,
    inference(demodulation,[status(thm),theory(equality)],[c_10349,c_9489,c_5810]) ).

tff(c_10453,plain,
    s(index_138) = index_12,
    inference(demodulation,[status(thm),theory(equality)],[c_10444,c_8514]) ).

tff(c_10815,plain,
    s(s(index_12)) = index_138,
    inference(superposition,[status(thm),theory(equality)],[c_10453,c_20]) ).

tff(c_10830,plain,
    index_24 = index_138,
    inference(demodulation,[status(thm),theory(equality)],[c_7133,c_7766,c_10815]) ).

tff(c_634,plain,
    queue_25 = q12,
    inference(cnfTransformation,[status(thm)],[f_355]) ).

tff(c_540,plain,
    store(queue_23,tail,index_24) = queue_25,
    inference(cnfTransformation,[status(thm)],[f_308]) ).

tff(c_748,plain,
    store(queue_23,tail,index_24) = q12,
    inference(demodulation,[status(thm),theory(equality)],[c_634,c_540]) ).

tff(c_5870,plain,
    select(q12,tail) = index_24,
    inference(superposition,[status(thm),theory(equality)],[c_748,c_5468]) ).

tff(c_348,plain,
    select(q12,tail) = index_27,
    inference(cnfTransformation,[status(thm)],[f_212]) ).

tff(c_8362,plain,
    index_27 = index_24,
    inference(demodulation,[status(thm),theory(equality)],[c_5870,c_348]) ).

tff(c_374,plain,
    s(index_27) = index_30,
    inference(cnfTransformation,[status(thm)],[f_225]) ).

tff(c_8374,plain,
    s(index_24) = index_30,
    inference(demodulation,[status(thm),theory(equality)],[c_8362,c_374]) ).

tff(c_8376,plain,
    index_30 = index_12,
    inference(demodulation,[status(thm),theory(equality)],[c_7761,c_8374]) ).

tff(c_636,plain,
    queue_31 = q13,
    inference(cnfTransformation,[status(thm)],[f_356]) ).

tff(c_576,plain,
    store(queue_29,tail,index_30) = queue_31,
    inference(cnfTransformation,[status(thm)],[f_326]) ).

tff(c_739,plain,
    store(queue_29,tail,index_30) = q13,
    inference(demodulation,[status(thm),theory(equality)],[c_636,c_576]) ).

tff(c_5783,plain,
    select(q13,tail) = index_30,
    inference(superposition,[status(thm),theory(equality)],[c_739,c_5468]) ).

tff(c_378,plain,
    select(q13,tail) = index_33,
    inference(cnfTransformation,[status(thm)],[f_227]) ).

tff(c_7322,plain,
    index_33 = index_30,
    inference(demodulation,[status(thm),theory(equality)],[c_5783,c_378]) ).

tff(c_380,plain,
    s(index_33) = index_36,
    inference(cnfTransformation,[status(thm)],[f_228]) ).

tff(c_7333,plain,
    s(index_30) = index_36,
    inference(demodulation,[status(thm),theory(equality)],[c_7322,c_380]) ).

tff(c_8384,plain,
    s(index_12) = index_36,
    inference(demodulation,[status(thm),theory(equality)],[c_8376,c_7333]) ).

tff(c_8388,plain,
    index_36 = index_18,
    inference(demodulation,[status(thm),theory(equality)],[c_7766,c_8384]) ).

tff(c_638,plain,
    queue_37 = q14,
    inference(cnfTransformation,[status(thm)],[f_357]) ).

tff(c_580,plain,
    store(queue_35,tail,index_36) = queue_37,
    inference(cnfTransformation,[status(thm)],[f_328]) ).

tff(c_738,plain,
    store(queue_35,tail,index_36) = q14,
    inference(demodulation,[status(thm),theory(equality)],[c_638,c_580]) ).

tff(c_5888,plain,
    select(q14,tail) = index_36,
    inference(superposition,[status(thm),theory(equality)],[c_738,c_5468]) ).

tff(c_8764,plain,
    select(q14,tail) = index_18,
    inference(demodulation,[status(thm),theory(equality)],[c_8388,c_5888]) ).

tff(c_382,plain,
    select(q14,tail) = index_39,
    inference(cnfTransformation,[status(thm)],[f_229]) ).

tff(c_8765,plain,
    index_39 = index_18,
    inference(demodulation,[status(thm),theory(equality)],[c_8764,c_382]) ).

tff(c_384,plain,
    s(index_39) = index_42,
    inference(cnfTransformation,[status(thm)],[f_230]) ).

tff(c_8777,plain,
    s(index_18) = index_42,
    inference(demodulation,[status(thm),theory(equality)],[c_8765,c_384]) ).

tff(c_8779,plain,
    index_42 = index_24,
    inference(demodulation,[status(thm),theory(equality)],[c_7133,c_8777]) ).

tff(c_640,plain,
    queue_43 = q15,
    inference(cnfTransformation,[status(thm)],[f_358]) ).

tff(c_584,plain,
    store(queue_41,tail,index_42) = queue_43,
    inference(cnfTransformation,[status(thm)],[f_330]) ).

tff(c_737,plain,
    store(queue_41,tail,index_42) = q15,
    inference(demodulation,[status(thm),theory(equality)],[c_640,c_584]) ).

tff(c_5681,plain,
    select(q15,tail) = index_42,
    inference(superposition,[status(thm),theory(equality)],[c_737,c_5468]) ).

tff(c_9513,plain,
    select(q15,tail) = index_24,
    inference(demodulation,[status(thm),theory(equality)],[c_8779,c_5681]) ).

tff(c_386,plain,
    select(q15,tail) = index_45,
    inference(cnfTransformation,[status(thm)],[f_231]) ).

tff(c_9514,plain,
    index_45 = index_24,
    inference(demodulation,[status(thm),theory(equality)],[c_9513,c_386]) ).

tff(c_388,plain,
    s(index_45) = index_48,
    inference(cnfTransformation,[status(thm)],[f_232]) ).

tff(c_9526,plain,
    s(index_24) = index_48,
    inference(demodulation,[status(thm),theory(equality)],[c_9514,c_388]) ).

tff(c_9528,plain,
    index_48 = index_12,
    inference(demodulation,[status(thm),theory(equality)],[c_7761,c_9526]) ).

tff(c_642,plain,
    queue_49 = q16,
    inference(cnfTransformation,[status(thm)],[f_359]) ).

tff(c_588,plain,
    store(queue_47,tail,index_48) = queue_49,
    inference(cnfTransformation,[status(thm)],[f_332]) ).

tff(c_736,plain,
    store(queue_47,tail,index_48) = q16,
    inference(demodulation,[status(thm),theory(equality)],[c_642,c_588]) ).

tff(c_5519,plain,
    select(q16,tail) = index_48,
    inference(superposition,[status(thm),theory(equality)],[c_736,c_5468]) ).

tff(c_10607,plain,
    select(q16,tail) = index_12,
    inference(demodulation,[status(thm),theory(equality)],[c_9528,c_5519]) ).

tff(c_390,plain,
    select(q16,tail) = index_51,
    inference(cnfTransformation,[status(thm)],[f_233]) ).

tff(c_10608,plain,
    index_51 = index_12,
    inference(demodulation,[status(thm),theory(equality)],[c_10607,c_390]) ).

tff(c_392,plain,
    s(index_51) = index_54,
    inference(cnfTransformation,[status(thm)],[f_234]) ).

tff(c_10623,plain,
    s(index_12) = index_54,
    inference(demodulation,[status(thm),theory(equality)],[c_10608,c_392]) ).

tff(c_10625,plain,
    index_54 = index_18,
    inference(demodulation,[status(thm),theory(equality)],[c_7766,c_10623]) ).

tff(c_644,plain,
    queue_55 = q17,
    inference(cnfTransformation,[status(thm)],[f_360]) ).

tff(c_594,plain,
    store(queue_53,tail,index_54) = queue_55,
    inference(cnfTransformation,[status(thm)],[f_335]) ).

tff(c_735,plain,
    store(queue_53,tail,index_54) = q17,
    inference(demodulation,[status(thm),theory(equality)],[c_644,c_594]) ).

tff(c_6670,plain,
    select(q17,tail) = index_54,
    inference(superposition,[status(thm),theory(equality)],[c_735,c_2]) ).

tff(c_394,plain,
    select(q17,tail) = index_57,
    inference(cnfTransformation,[status(thm)],[f_235]) ).

tff(c_7583,plain,
    index_57 = index_54,
    inference(demodulation,[status(thm),theory(equality)],[c_6670,c_394]) ).

tff(c_398,plain,
    s(index_57) = index_60,
    inference(cnfTransformation,[status(thm)],[f_237]) ).

tff(c_7594,plain,
    s(index_54) = index_60,
    inference(demodulation,[status(thm),theory(equality)],[c_7583,c_398]) ).

tff(c_10645,plain,
    s(index_18) = index_60,
    inference(demodulation,[status(thm),theory(equality)],[c_10625,c_7594]) ).

tff(c_10650,plain,
    index_60 = index_24,
    inference(demodulation,[status(thm),theory(equality)],[c_7133,c_10645]) ).

tff(c_3532,plain,
    s(s(index_54)) = index_51,
    inference(superposition,[status(thm),theory(equality)],[c_392,c_3439]) ).

tff(c_7600,plain,
    s(index_60) = index_51,
    inference(demodulation,[status(thm),theory(equality)],[c_7594,c_3532]) ).

tff(c_646,plain,
    queue_61 = q18,
    inference(cnfTransformation,[status(thm)],[f_361]) ).

tff(c_598,plain,
    store(queue_59,tail,index_60) = queue_61,
    inference(cnfTransformation,[status(thm)],[f_337]) ).

tff(c_734,plain,
    store(queue_59,tail,index_60) = q18,
    inference(demodulation,[status(thm),theory(equality)],[c_646,c_598]) ).

tff(c_5489,plain,
    select(q18,tail) = index_60,
    inference(superposition,[status(thm),theory(equality)],[c_734,c_5468]) ).

tff(c_400,plain,
    select(q18,tail) = index_63,
    inference(cnfTransformation,[status(thm)],[f_238]) ).

tff(c_7860,plain,
    index_63 = index_60,
    inference(demodulation,[status(thm),theory(equality)],[c_5489,c_400]) ).

tff(c_402,plain,
    s(index_63) = index_66,
    inference(cnfTransformation,[status(thm)],[f_239]) ).

tff(c_7871,plain,
    s(index_60) = index_66,
    inference(demodulation,[status(thm),theory(equality)],[c_7860,c_402]) ).

tff(c_7874,plain,
    index_66 = index_51,
    inference(demodulation,[status(thm),theory(equality)],[c_7600,c_7871]) ).

tff(c_648,plain,
    queue_67 = q19,
    inference(cnfTransformation,[status(thm)],[f_362]) ).

tff(c_602,plain,
    store(queue_65,tail,index_66) = queue_67,
    inference(cnfTransformation,[status(thm)],[f_339]) ).

tff(c_733,plain,
    store(queue_65,tail,index_66) = q19,
    inference(demodulation,[status(thm),theory(equality)],[c_648,c_602]) ).

tff(c_5834,plain,
    select(q19,tail) = index_66,
    inference(superposition,[status(thm),theory(equality)],[c_733,c_5468]) ).

tff(c_8316,plain,
    select(q19,tail) = index_51,
    inference(demodulation,[status(thm),theory(equality)],[c_7874,c_5834]) ).

tff(c_408,plain,
    select(q19,tail) = index_75,
    inference(cnfTransformation,[status(thm)],[f_242]) ).

tff(c_8317,plain,
    index_75 = index_51,
    inference(demodulation,[status(thm),theory(equality)],[c_8316,c_408]) ).

tff(c_410,plain,
    s(index_75) = index_78,
    inference(cnfTransformation,[status(thm)],[f_243]) ).

tff(c_8329,plain,
    s(index_51) = index_78,
    inference(demodulation,[status(thm),theory(equality)],[c_8317,c_410]) ).

tff(c_8331,plain,
    index_78 = index_54,
    inference(demodulation,[status(thm),theory(equality)],[c_392,c_8329]) ).

tff(c_652,plain,
    queue_79 = q20,
    inference(cnfTransformation,[status(thm)],[f_364]) ).

tff(c_612,plain,
    store(queue_77,tail,index_78) = queue_79,
    inference(cnfTransformation,[status(thm)],[f_344]) ).

tff(c_730,plain,
    store(queue_77,tail,index_78) = q20,
    inference(demodulation,[status(thm),theory(equality)],[c_652,c_612]) ).

tff(c_5843,plain,
    select(q20,tail) = index_78,
    inference(superposition,[status(thm),theory(equality)],[c_730,c_5468]) ).

tff(c_412,plain,
    select(q20,tail) = index_81,
    inference(cnfTransformation,[status(thm)],[f_244]) ).

tff(c_7216,plain,
    index_81 = index_78,
    inference(demodulation,[status(thm),theory(equality)],[c_5843,c_412]) ).

tff(c_414,plain,
    s(index_81) = index_84,
    inference(cnfTransformation,[status(thm)],[f_245]) ).

tff(c_7227,plain,
    s(index_78) = index_84,
    inference(demodulation,[status(thm),theory(equality)],[c_7216,c_414]) ).

tff(c_8338,plain,
    s(index_54) = index_84,
    inference(demodulation,[status(thm),theory(equality)],[c_8331,c_7227]) ).

tff(c_8343,plain,
    index_84 = index_60,
    inference(demodulation,[status(thm),theory(equality)],[c_7594,c_8338]) ).

tff(c_654,plain,
    queue_85 = q21,
    inference(cnfTransformation,[status(thm)],[f_365]) ).

tff(c_616,plain,
    store(queue_83,tail,index_84) = queue_85,
    inference(cnfTransformation,[status(thm)],[f_346]) ).

tff(c_729,plain,
    store(queue_83,tail,index_84) = q21,
    inference(demodulation,[status(thm),theory(equality)],[c_654,c_616]) ).

tff(c_5564,plain,
    select(q21,tail) = index_84,
    inference(superposition,[status(thm),theory(equality)],[c_729,c_5468]) ).

tff(c_8707,plain,
    select(q21,tail) = index_60,
    inference(demodulation,[status(thm),theory(equality)],[c_8343,c_5564]) ).

tff(c_10664,plain,
    select(q21,tail) = index_24,
    inference(demodulation,[status(thm),theory(equality)],[c_10650,c_8707]) ).

tff(c_11105,plain,
    select(q21,tail) = index_138,
    inference(demodulation,[status(thm),theory(equality)],[c_10830,c_10664]) ).

tff(c_11664,plain,
    index_138 = index_102,
    inference(demodulation,[status(thm),theory(equality)],[c_8221,c_11105]) ).

tff(c_10824,plain,
    p(index_12) = index_138,
    inference(superposition,[status(thm),theory(equality)],[c_10453,c_12]) ).

tff(c_404,plain,
    select(q1,tail) = index_69,
    inference(cnfTransformation,[status(thm)],[f_240]) ).

tff(c_8548,plain,
    select(q1,tail) = index_204,
    inference(demodulation,[status(thm),theory(equality)],[c_8520,c_404]) ).

tff(c_11458,plain,
    select(q1,tail) = index_12,
    inference(demodulation,[status(thm),theory(equality)],[c_10444,c_8548]) ).

tff(c_628,plain,
    queue_7 = q1,
    inference(cnfTransformation,[status(thm)],[f_352]) ).

tff(c_604,plain,
    store(queue_5,tail,index_6) = queue_7,
    inference(cnfTransformation,[status(thm)],[f_340]) ).

tff(c_732,plain,
    store(queue_5,tail,index_6) = q1,
    inference(demodulation,[status(thm),theory(equality)],[c_628,c_604]) ).

tff(c_5846,plain,
    select(q1,tail) = index_6,
    inference(superposition,[status(thm),theory(equality)],[c_732,c_5468]) ).

tff(c_11459,plain,
    index_6 = index_12,
    inference(demodulation,[status(thm),theory(equality)],[c_11458,c_5846]) ).

tff(c_396,plain,
    s(index_3) = index_6,
    inference(cnfTransformation,[status(thm)],[f_236]) ).

tff(c_1628,plain,
    p(index_6) = index_3,
    inference(superposition,[status(thm),theory(equality)],[c_396,c_1493]) ).

tff(c_11467,plain,
    p(index_12) = index_3,
    inference(demodulation,[status(thm),theory(equality)],[c_11459,c_1628]) ).

tff(c_11471,plain,
    index_3 = index_138,
    inference(demodulation,[status(thm),theory(equality)],[c_10824,c_11467]) ).

tff(c_372,plain,
    select(q0,tail) = index_3,
    inference(cnfTransformation,[status(thm)],[f_224]) ).

tff(c_11479,plain,
    select(q0,tail) = index_138,
    inference(demodulation,[status(thm),theory(equality)],[c_11471,c_372]) ).

tff(c_11678,plain,
    select(q0,tail) = index_102,
    inference(demodulation,[status(thm),theory(equality)],[c_11664,c_11479]) ).

tff(c_22897,plain,
    ( ( select(q,tail) = index_102 )
    | ( tail = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_22891,c_11678]) ).

tff(c_22917,plain,
    ( ( index_102 = index_0 )
    | ( tail = head ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_224,c_22897]) ).

tff(c_22918,plain,
    index_102 = index_0,
    inference(negUnitSimplification,[status(thm)],[c_6,c_22917]) ).

tff(c_662,plain,
    queue_109 = q25,
    inference(cnfTransformation,[status(thm)],[f_369]) ).

tff(c_436,plain,
    store(queue_107,tail,index_108) = queue_109,
    inference(cnfTransformation,[status(thm)],[f_256]) ).

tff(c_774,plain,
    store(queue_107,tail,index_108) = q25,
    inference(demodulation,[status(thm),theory(equality)],[c_662,c_436]) ).

tff(c_5949,plain,
    select(q25,tail) = index_108,
    inference(superposition,[status(thm),theory(equality)],[c_774,c_2]) ).

tff(c_232,plain,
    select(q25,tail) = index_111,
    inference(cnfTransformation,[status(thm)],[f_154]) ).

tff(c_9909,plain,
    index_111 = index_108,
    inference(demodulation,[status(thm),theory(equality)],[c_5949,c_232]) ).

tff(c_234,plain,
    s(index_111) = index_114,
    inference(cnfTransformation,[status(thm)],[f_155]) ).

tff(c_9921,plain,
    s(index_108) = index_114,
    inference(demodulation,[status(thm),theory(equality)],[c_9909,c_234]) ).

tff(c_660,plain,
    queue_103 = q24,
    inference(cnfTransformation,[status(thm)],[f_368]) ).

tff(c_432,plain,
    store(queue_101,tail,index_102) = queue_103,
    inference(cnfTransformation,[status(thm)],[f_254]) ).

tff(c_775,plain,
    store(queue_101,tail,index_102) = q24,
    inference(demodulation,[status(thm),theory(equality)],[c_660,c_432]) ).

tff(c_6494,plain,
    select(q24,tail) = index_102,
    inference(superposition,[status(thm),theory(equality)],[c_775,c_2]) ).

tff(c_228,plain,
    select(q24,tail) = index_105,
    inference(cnfTransformation,[status(thm)],[f_152]) ).

tff(c_6554,plain,
    index_105 = index_102,
    inference(demodulation,[status(thm),theory(equality)],[c_6494,c_228]) ).

tff(c_230,plain,
    s(index_105) = index_108,
    inference(cnfTransformation,[status(thm)],[f_153]) ).

tff(c_6564,plain,
    s(index_102) = index_108,
    inference(demodulation,[status(thm),theory(equality)],[c_6554,c_230]) ).

tff(c_3622,plain,
    s(s(index_102)) = index_99,
    inference(superposition,[status(thm),theory(equality)],[c_226,c_3439]) ).

tff(c_6595,plain,
    s(index_108) = index_99,
    inference(demodulation,[status(thm),theory(equality)],[c_6564,c_3622]) ).

tff(c_8184,plain,
    s(index_108) = index_96,
    inference(demodulation,[status(thm),theory(equality)],[c_8178,c_6595]) ).

tff(c_9942,plain,
    index_96 = index_114,
    inference(demodulation,[status(thm),theory(equality)],[c_9921,c_8184]) ).

tff(c_9966,plain,
    s(index_114) = index_102,
    inference(demodulation,[status(thm),theory(equality)],[c_9942,c_8189]) ).

tff(c_664,plain,
    queue_115 = q26,
    inference(cnfTransformation,[status(thm)],[f_370]) ).

tff(c_442,plain,
    store(queue_113,tail,index_114) = queue_115,
    inference(cnfTransformation,[status(thm)],[f_259]) ).

tff(c_773,plain,
    store(queue_113,tail,index_114) = q26,
    inference(demodulation,[status(thm),theory(equality)],[c_664,c_442]) ).

tff(c_5561,plain,
    select(q26,tail) = index_114,
    inference(superposition,[status(thm),theory(equality)],[c_773,c_5468]) ).

tff(c_236,plain,
    select(q26,tail) = index_117,
    inference(cnfTransformation,[status(thm)],[f_156]) ).

tff(c_10253,plain,
    index_117 = index_114,
    inference(demodulation,[status(thm),theory(equality)],[c_5561,c_236]) ).

tff(c_240,plain,
    s(index_117) = index_120,
    inference(cnfTransformation,[status(thm)],[f_158]) ).

tff(c_1568,plain,
    p(index_120) = index_117,
    inference(superposition,[status(thm),theory(equality)],[c_240,c_1493]) ).

tff(c_666,plain,
    queue_121 = q27,
    inference(cnfTransformation,[status(thm)],[f_371]) ).

tff(c_446,plain,
    store(queue_119,tail,index_120) = queue_121,
    inference(cnfTransformation,[status(thm)],[f_261]) ).

tff(c_772,plain,
    store(queue_119,tail,index_120) = q27,
    inference(demodulation,[status(thm),theory(equality)],[c_666,c_446]) ).

tff(c_5585,plain,
    select(q27,tail) = index_120,
    inference(superposition,[status(thm),theory(equality)],[c_772,c_5468]) ).

tff(c_242,plain,
    select(q27,tail) = index_123,
    inference(cnfTransformation,[status(thm)],[f_159]) ).

tff(c_8406,plain,
    index_123 = index_120,
    inference(demodulation,[status(thm),theory(equality)],[c_5585,c_242]) ).

tff(c_244,plain,
    s(index_123) = index_126,
    inference(cnfTransformation,[status(thm)],[f_160]) ).

tff(c_1640,plain,
    p(index_126) = index_123,
    inference(superposition,[status(thm),theory(equality)],[c_244,c_1493]) ).

tff(c_8415,plain,
    p(index_126) = index_120,
    inference(demodulation,[status(thm),theory(equality)],[c_8406,c_1640]) ).

tff(c_668,plain,
    queue_127 = q28,
    inference(cnfTransformation,[status(thm)],[f_372]) ).

tff(c_450,plain,
    store(queue_125,tail,index_126) = queue_127,
    inference(cnfTransformation,[status(thm)],[f_263]) ).

tff(c_771,plain,
    store(queue_125,tail,index_126) = q28,
    inference(demodulation,[status(thm),theory(equality)],[c_668,c_450]) ).

tff(c_5558,plain,
    select(q28,tail) = index_126,
    inference(superposition,[status(thm),theory(equality)],[c_771,c_5468]) ).

tff(c_246,plain,
    select(q28,tail) = index_129,
    inference(cnfTransformation,[status(thm)],[f_161]) ).

tff(c_10124,plain,
    index_129 = index_126,
    inference(demodulation,[status(thm),theory(equality)],[c_5558,c_246]) ).

tff(c_670,plain,
    queue_133 = q29,
    inference(cnfTransformation,[status(thm)],[f_373]) ).

tff(c_456,plain,
    store(queue_131,tail,index_132) = queue_133,
    inference(cnfTransformation,[status(thm)],[f_266]) ).

tff(c_769,plain,
    store(queue_131,tail,index_132) = q29,
    inference(demodulation,[status(thm),theory(equality)],[c_670,c_456]) ).

tff(c_6901,plain,
    select(q29,tail) = index_132,
    inference(superposition,[status(thm),theory(equality)],[c_769,c_2]) ).

tff(c_254,plain,
    select(q29,tail) = index_141,
    inference(cnfTransformation,[status(thm)],[f_165]) ).

tff(c_6921,plain,
    index_141 = index_132,
    inference(demodulation,[status(thm),theory(equality)],[c_6901,c_254]) ).

tff(c_256,plain,
    s(index_141) = index_144,
    inference(cnfTransformation,[status(thm)],[f_166]) ).

tff(c_6932,plain,
    s(index_132) = index_144,
    inference(demodulation,[status(thm),theory(equality)],[c_6921,c_256]) ).

tff(c_248,plain,
    s(index_129) = index_132,
    inference(cnfTransformation,[status(thm)],[f_162]) ).

tff(c_3541,plain,
    s(s(index_132)) = index_129,
    inference(superposition,[status(thm),theory(equality)],[c_248,c_3439]) ).

tff(c_6952,plain,
    s(index_144) = index_129,
    inference(demodulation,[status(thm),theory(equality)],[c_6932,c_3541]) ).

tff(c_6988,plain,
    p(index_129) = index_144,
    inference(superposition,[status(thm),theory(equality)],[c_6952,c_12]) ).

tff(c_10134,plain,
    p(index_126) = index_144,
    inference(demodulation,[status(thm),theory(equality)],[c_10124,c_6988]) ).

tff(c_10141,plain,
    index_144 = index_120,
    inference(demodulation,[status(thm),theory(equality)],[c_8415,c_10134]) ).

tff(c_1544,plain,
    p(index_144) = index_141,
    inference(superposition,[status(thm),theory(equality)],[c_256,c_1493]) ).

tff(c_6930,plain,
    p(index_144) = index_132,
    inference(demodulation,[status(thm),theory(equality)],[c_6921,c_1544]) ).

tff(c_10186,plain,
    p(index_120) = index_132,
    inference(demodulation,[status(thm),theory(equality)],[c_10141,c_6930]) ).

tff(c_10189,plain,
    index_132 = index_117,
    inference(demodulation,[status(thm),theory(equality)],[c_1568,c_10186]) ).

tff(c_674,plain,
    queue_145 = q30,
    inference(cnfTransformation,[status(thm)],[f_375]) ).

tff(c_464,plain,
    store(queue_143,tail,index_144) = queue_145,
    inference(cnfTransformation,[status(thm)],[f_270]) ).

tff(c_767,plain,
    store(queue_143,tail,index_144) = q30,
    inference(demodulation,[status(thm),theory(equality)],[c_674,c_464]) ).

tff(c_5549,plain,
    select(q30,tail) = index_144,
    inference(superposition,[status(thm),theory(equality)],[c_767,c_5468]) ).

tff(c_258,plain,
    select(q30,tail) = index_147,
    inference(cnfTransformation,[status(thm)],[f_167]) ).

tff(c_7712,plain,
    index_147 = index_144,
    inference(demodulation,[status(thm),theory(equality)],[c_5549,c_258]) ).

tff(c_262,plain,
    s(index_147) = index_150,
    inference(cnfTransformation,[status(thm)],[f_169]) ).

tff(c_7723,plain,
    s(index_144) = index_150,
    inference(demodulation,[status(thm),theory(equality)],[c_7712,c_262]) ).

tff(c_7725,plain,
    index_150 = index_129,
    inference(demodulation,[status(thm),theory(equality)],[c_6952,c_7723]) ).

tff(c_676,plain,
    queue_151 = q31,
    inference(cnfTransformation,[status(thm)],[f_376]) ).

tff(c_468,plain,
    store(queue_149,tail,index_150) = queue_151,
    inference(cnfTransformation,[status(thm)],[f_272]) ).

tff(c_766,plain,
    store(queue_149,tail,index_150) = q31,
    inference(demodulation,[status(thm),theory(equality)],[c_676,c_468]) ).

tff(c_5744,plain,
    select(q31,tail) = index_150,
    inference(superposition,[status(thm),theory(equality)],[c_766,c_5468]) ).

tff(c_9277,plain,
    select(q31,tail) = index_129,
    inference(demodulation,[status(thm),theory(equality)],[c_7725,c_5744]) ).

tff(c_264,plain,
    select(q31,tail) = index_153,
    inference(cnfTransformation,[status(thm)],[f_170]) ).

tff(c_9278,plain,
    index_153 = index_129,
    inference(demodulation,[status(thm),theory(equality)],[c_9277,c_264]) ).

tff(c_266,plain,
    s(index_153) = index_156,
    inference(cnfTransformation,[status(thm)],[f_171]) ).

tff(c_9289,plain,
    s(index_129) = index_156,
    inference(demodulation,[status(thm),theory(equality)],[c_9278,c_266]) ).

tff(c_9292,plain,
    index_156 = index_132,
    inference(demodulation,[status(thm),theory(equality)],[c_248,c_9289]) ).

tff(c_10202,plain,
    index_156 = index_117,
    inference(demodulation,[status(thm),theory(equality)],[c_10189,c_9292]) ).

tff(c_10258,plain,
    index_156 = index_114,
    inference(demodulation,[status(thm),theory(equality)],[c_10253,c_10202]) ).

tff(c_678,plain,
    queue_157 = q32,
    inference(cnfTransformation,[status(thm)],[f_377]) ).

tff(c_472,plain,
    store(queue_155,tail,index_156) = queue_157,
    inference(cnfTransformation,[status(thm)],[f_274]) ).

tff(c_765,plain,
    store(queue_155,tail,index_156) = q32,
    inference(demodulation,[status(thm),theory(equality)],[c_678,c_472]) ).

tff(c_5711,plain,
    select(q32,tail) = index_156,
    inference(superposition,[status(thm),theory(equality)],[c_765,c_5468]) ).

tff(c_10473,plain,
    select(q32,tail) = index_114,
    inference(demodulation,[status(thm),theory(equality)],[c_10258,c_5711]) ).

tff(c_268,plain,
    select(q32,tail) = index_159,
    inference(cnfTransformation,[status(thm)],[f_172]) ).

tff(c_10474,plain,
    index_159 = index_114,
    inference(demodulation,[status(thm),theory(equality)],[c_10473,c_268]) ).

tff(c_270,plain,
    s(index_159) = index_162,
    inference(cnfTransformation,[status(thm)],[f_173]) ).

tff(c_10501,plain,
    s(index_114) = index_162,
    inference(demodulation,[status(thm),theory(equality)],[c_10474,c_270]) ).

tff(c_10503,plain,
    index_162 = index_102,
    inference(demodulation,[status(thm),theory(equality)],[c_9966,c_10501]) ).

tff(c_680,plain,
    queue_163 = q33,
    inference(cnfTransformation,[status(thm)],[f_378]) ).

tff(c_476,plain,
    store(queue_161,tail,index_162) = queue_163,
    inference(cnfTransformation,[status(thm)],[f_276]) ).

tff(c_764,plain,
    store(queue_161,tail,index_162) = q33,
    inference(demodulation,[status(thm),theory(equality)],[c_680,c_476]) ).

tff(c_5777,plain,
    select(q33,tail) = index_162,
    inference(superposition,[status(thm),theory(equality)],[c_764,c_5468]) ).

tff(c_272,plain,
    select(q33,tail) = index_165,
    inference(cnfTransformation,[status(thm)],[f_174]) ).

tff(c_8022,plain,
    index_165 = index_162,
    inference(demodulation,[status(thm),theory(equality)],[c_5777,c_272]) ).

tff(c_274,plain,
    s(index_165) = index_168,
    inference(cnfTransformation,[status(thm)],[f_175]) ).

tff(c_8033,plain,
    s(index_162) = index_168,
    inference(demodulation,[status(thm),theory(equality)],[c_8022,c_274]) ).

tff(c_3571,plain,
    s(s(index_162)) = index_159,
    inference(superposition,[status(thm),theory(equality)],[c_270,c_3439]) ).

tff(c_8039,plain,
    s(index_168) = index_159,
    inference(demodulation,[status(thm),theory(equality)],[c_8033,c_3571]) ).

tff(c_682,plain,
    queue_169 = q34,
    inference(cnfTransformation,[status(thm)],[f_379]) ).

tff(c_480,plain,
    store(queue_167,tail,index_168) = queue_169,
    inference(cnfTransformation,[status(thm)],[f_278]) ).

tff(c_763,plain,
    store(queue_167,tail,index_168) = q34,
    inference(demodulation,[status(thm),theory(equality)],[c_682,c_480]) ).

tff(c_5636,plain,
    select(q34,tail) = index_168,
    inference(superposition,[status(thm),theory(equality)],[c_763,c_5468]) ).

tff(c_276,plain,
    select(q34,tail) = index_171,
    inference(cnfTransformation,[status(thm)],[f_176]) ).

tff(c_9768,plain,
    index_171 = index_168,
    inference(demodulation,[status(thm),theory(equality)],[c_5636,c_276]) ).

tff(c_278,plain,
    s(index_171) = index_174,
    inference(cnfTransformation,[status(thm)],[f_177]) ).

tff(c_9790,plain,
    s(index_168) = index_174,
    inference(demodulation,[status(thm),theory(equality)],[c_9768,c_278]) ).

tff(c_9792,plain,
    index_174 = index_159,
    inference(demodulation,[status(thm),theory(equality)],[c_8039,c_9790]) ).

tff(c_684,plain,
    queue_175 = q35,
    inference(cnfTransformation,[status(thm)],[f_380]) ).

tff(c_486,plain,
    store(queue_173,tail,index_174) = queue_175,
    inference(cnfTransformation,[status(thm)],[f_281]) ).

tff(c_762,plain,
    store(queue_173,tail,index_174) = q35,
    inference(demodulation,[status(thm),theory(equality)],[c_684,c_486]) ).

tff(c_5741,plain,
    select(q35,tail) = index_174,
    inference(superposition,[status(thm),theory(equality)],[c_762,c_5468]) ).

tff(c_280,plain,
    select(q35,tail) = index_177,
    inference(cnfTransformation,[status(thm)],[f_178]) ).

tff(c_8964,plain,
    index_177 = index_174,
    inference(demodulation,[status(thm),theory(equality)],[c_5741,c_280]) ).

tff(c_284,plain,
    s(index_177) = index_180,
    inference(cnfTransformation,[status(thm)],[f_180]) ).

tff(c_8975,plain,
    s(index_174) = index_180,
    inference(demodulation,[status(thm),theory(equality)],[c_8964,c_284]) ).

tff(c_9821,plain,
    s(index_159) = index_180,
    inference(demodulation,[status(thm),theory(equality)],[c_9792,c_8975]) ).

tff(c_9826,plain,
    index_180 = index_162,
    inference(demodulation,[status(thm),theory(equality)],[c_270,c_9821]) ).

tff(c_686,plain,
    queue_181 = q36,
    inference(cnfTransformation,[status(thm)],[f_381]) ).

tff(c_490,plain,
    store(queue_179,tail,index_180) = queue_181,
    inference(cnfTransformation,[status(thm)],[f_283]) ).

tff(c_761,plain,
    store(queue_179,tail,index_180) = q36,
    inference(demodulation,[status(thm),theory(equality)],[c_686,c_490]) ).

tff(c_5597,plain,
    select(q36,tail) = index_180,
    inference(superposition,[status(thm),theory(equality)],[c_761,c_5468]) ).

tff(c_286,plain,
    select(q36,tail) = index_183,
    inference(cnfTransformation,[status(thm)],[f_181]) ).

tff(c_9551,plain,
    index_183 = index_180,
    inference(demodulation,[status(thm),theory(equality)],[c_5597,c_286]) ).

tff(c_688,plain,
    queue_187 = q37,
    inference(cnfTransformation,[status(thm)],[f_382]) ).

tff(c_494,plain,
    store(queue_185,tail,index_186) = queue_187,
    inference(cnfTransformation,[status(thm)],[f_285]) ).

tff(c_760,plain,
    store(queue_185,tail,index_186) = q37,
    inference(demodulation,[status(thm),theory(equality)],[c_688,c_494]) ).

tff(c_6740,plain,
    select(q37,tail) = index_186,
    inference(superposition,[status(thm),theory(equality)],[c_760,c_2]) ).

tff(c_290,plain,
    select(q37,tail) = index_189,
    inference(cnfTransformation,[status(thm)],[f_183]) ).

tff(c_6786,plain,
    index_189 = index_186,
    inference(demodulation,[status(thm),theory(equality)],[c_6740,c_290]) ).

tff(c_292,plain,
    s(index_189) = index_192,
    inference(cnfTransformation,[status(thm)],[f_184]) ).

tff(c_6796,plain,
    s(index_186) = index_192,
    inference(demodulation,[status(thm),theory(equality)],[c_6786,c_292]) ).

tff(c_288,plain,
    s(index_183) = index_186,
    inference(cnfTransformation,[status(thm)],[f_182]) ).

tff(c_3526,plain,
    s(s(index_186)) = index_183,
    inference(superposition,[status(thm),theory(equality)],[c_288,c_3439]) ).

tff(c_6827,plain,
    s(index_192) = index_183,
    inference(demodulation,[status(thm),theory(equality)],[c_6796,c_3526]) ).

tff(c_690,plain,
    queue_193 = q38,
    inference(cnfTransformation,[status(thm)],[f_383]) ).

tff(c_500,plain,
    store(queue_191,tail,index_192) = queue_193,
    inference(cnfTransformation,[status(thm)],[f_288]) ).

tff(c_758,plain,
    store(queue_191,tail,index_192) = q38,
    inference(demodulation,[status(thm),theory(equality)],[c_690,c_500]) ).

tff(c_5618,plain,
    select(q38,tail) = index_192,
    inference(superposition,[status(thm),theory(equality)],[c_758,c_5468]) ).

tff(c_294,plain,
    select(q38,tail) = index_195,
    inference(cnfTransformation,[status(thm)],[f_185]) ).

tff(c_7681,plain,
    index_195 = index_192,
    inference(demodulation,[status(thm),theory(equality)],[c_5618,c_294]) ).

tff(c_296,plain,
    s(index_195) = index_198,
    inference(cnfTransformation,[status(thm)],[f_186]) ).

tff(c_7692,plain,
    s(index_192) = index_198,
    inference(demodulation,[status(thm),theory(equality)],[c_7681,c_296]) ).

tff(c_7694,plain,
    index_198 = index_183,
    inference(demodulation,[status(thm),theory(equality)],[c_6827,c_7692]) ).

tff(c_692,plain,
    queue_199 = q39,
    inference(cnfTransformation,[status(thm)],[f_384]) ).

tff(c_504,plain,
    store(queue_197,tail,index_198) = queue_199,
    inference(cnfTransformation,[status(thm)],[f_290]) ).

tff(c_757,plain,
    store(queue_197,tail,index_198) = q39,
    inference(demodulation,[status(thm),theory(equality)],[c_692,c_504]) ).

tff(c_5477,plain,
    select(q39,tail) = index_198,
    inference(superposition,[status(thm),theory(equality)],[c_757,c_5468]) ).

tff(c_8150,plain,
    select(q39,tail) = index_183,
    inference(demodulation,[status(thm),theory(equality)],[c_7694,c_5477]) ).

tff(c_302,plain,
    select(q39,tail) = index_207,
    inference(cnfTransformation,[status(thm)],[f_189]) ).

tff(c_8151,plain,
    index_207 = index_183,
    inference(demodulation,[status(thm),theory(equality)],[c_8150,c_302]) ).

tff(c_306,plain,
    s(index_207) = index_210,
    inference(cnfTransformation,[status(thm)],[f_191]) ).

tff(c_8162,plain,
    s(index_183) = index_210,
    inference(demodulation,[status(thm),theory(equality)],[c_8151,c_306]) ).

tff(c_8164,plain,
    index_210 = index_186,
    inference(demodulation,[status(thm),theory(equality)],[c_288,c_8162]) ).

tff(c_696,plain,
    queue_211 = q40,
    inference(cnfTransformation,[status(thm)],[f_386]) ).

tff(c_512,plain,
    store(queue_209,tail,index_210) = queue_211,
    inference(cnfTransformation,[status(thm)],[f_294]) ).

tff(c_755,plain,
    store(queue_209,tail,index_210) = q40,
    inference(demodulation,[status(thm),theory(equality)],[c_696,c_512]) ).

tff(c_5840,plain,
    select(q40,tail) = index_210,
    inference(superposition,[status(thm),theory(equality)],[c_755,c_5468]) ).

tff(c_8717,plain,
    select(q40,tail) = index_186,
    inference(demodulation,[status(thm),theory(equality)],[c_8164,c_5840]) ).

tff(c_308,plain,
    select(q40,tail) = index_213,
    inference(cnfTransformation,[status(thm)],[f_192]) ).

tff(c_8718,plain,
    index_213 = index_186,
    inference(demodulation,[status(thm),theory(equality)],[c_8717,c_308]) ).

tff(c_310,plain,
    s(index_213) = index_216,
    inference(cnfTransformation,[status(thm)],[f_193]) ).

tff(c_8729,plain,
    s(index_186) = index_216,
    inference(demodulation,[status(thm),theory(equality)],[c_8718,c_310]) ).

tff(c_8731,plain,
    index_216 = index_192,
    inference(demodulation,[status(thm),theory(equality)],[c_6796,c_8729]) ).

tff(c_698,plain,
    queue_217 = q41,
    inference(cnfTransformation,[status(thm)],[f_387]) ).

tff(c_516,plain,
    store(queue_215,tail,index_216) = queue_217,
    inference(cnfTransformation,[status(thm)],[f_296]) ).

tff(c_754,plain,
    store(queue_215,tail,index_216) = q41,
    inference(demodulation,[status(thm),theory(equality)],[c_698,c_516]) ).

tff(c_5765,plain,
    select(q41,tail) = index_216,
    inference(superposition,[status(thm),theory(equality)],[c_754,c_5468]) ).

tff(c_9184,plain,
    select(q41,tail) = index_192,
    inference(demodulation,[status(thm),theory(equality)],[c_8731,c_5765]) ).

tff(c_312,plain,
    select(q41,tail) = index_219,
    inference(cnfTransformation,[status(thm)],[f_194]) ).

tff(c_9185,plain,
    index_219 = index_192,
    inference(demodulation,[status(thm),theory(equality)],[c_9184,c_312]) ).

tff(c_314,plain,
    s(index_219) = index_222,
    inference(cnfTransformation,[status(thm)],[f_195]) ).

tff(c_9199,plain,
    s(index_192) = index_222,
    inference(demodulation,[status(thm),theory(equality)],[c_9185,c_314]) ).

tff(c_9201,plain,
    index_222 = index_183,
    inference(demodulation,[status(thm),theory(equality)],[c_6827,c_9199]) ).

tff(c_700,plain,
    queue_223 = q42,
    inference(cnfTransformation,[status(thm)],[f_388]) ).

tff(c_520,plain,
    store(queue_221,tail,index_222) = queue_223,
    inference(cnfTransformation,[status(thm)],[f_298]) ).

tff(c_753,plain,
    store(queue_221,tail,index_222) = q42,
    inference(demodulation,[status(thm),theory(equality)],[c_700,c_520]) ).

tff(c_5600,plain,
    select(q42,tail) = index_222,
    inference(superposition,[status(thm),theory(equality)],[c_753,c_5468]) ).

tff(c_316,plain,
    select(q42,tail) = index_225,
    inference(cnfTransformation,[status(thm)],[f_196]) ).

tff(c_8827,plain,
    index_225 = index_222,
    inference(demodulation,[status(thm),theory(equality)],[c_5600,c_316]) ).

tff(c_318,plain,
    s(index_225) = index_228,
    inference(cnfTransformation,[status(thm)],[f_197]) ).

tff(c_1517,plain,
    p(index_228) = index_225,
    inference(superposition,[status(thm),theory(equality)],[c_318,c_1493]) ).

tff(c_702,plain,
    queue_229 = q43,
    inference(cnfTransformation,[status(thm)],[f_389]) ).

tff(c_524,plain,
    store(queue_227,tail,index_228) = queue_229,
    inference(cnfTransformation,[status(thm)],[f_300]) ).

tff(c_752,plain,
    store(queue_227,tail,index_228) = q43,
    inference(demodulation,[status(thm),theory(equality)],[c_702,c_524]) ).

tff(c_5513,plain,
    select(q43,tail) = index_228,
    inference(superposition,[status(thm),theory(equality)],[c_752,c_5468]) ).

tff(c_320,plain,
    select(q43,tail) = index_231,
    inference(cnfTransformation,[status(thm)],[f_198]) ).

tff(c_7444,plain,
    index_231 = index_228,
    inference(demodulation,[status(thm),theory(equality)],[c_5513,c_320]) ).

tff(c_704,plain,
    queue_235 = q44,
    inference(cnfTransformation,[status(thm)],[f_390]) ).

tff(c_530,plain,
    store(queue_233,tail,index_234) = queue_235,
    inference(cnfTransformation,[status(thm)],[f_303]) ).

tff(c_751,plain,
    store(queue_233,tail,index_234) = q44,
    inference(demodulation,[status(thm),theory(equality)],[c_704,c_530]) ).

tff(c_5789,plain,
    select(q44,tail) = index_234,
    inference(superposition,[status(thm),theory(equality)],[c_751,c_5468]) ).

tff(c_324,plain,
    select(q44,tail) = index_237,
    inference(cnfTransformation,[status(thm)],[f_200]) ).

tff(c_7028,plain,
    index_237 = index_234,
    inference(demodulation,[status(thm),theory(equality)],[c_5789,c_324]) ).

tff(c_328,plain,
    s(index_237) = index_240,
    inference(cnfTransformation,[status(thm)],[f_202]) ).

tff(c_7039,plain,
    s(index_234) = index_240,
    inference(demodulation,[status(thm),theory(equality)],[c_7028,c_328]) ).

tff(c_322,plain,
    s(index_231) = index_234,
    inference(cnfTransformation,[status(thm)],[f_199]) ).

tff(c_3514,plain,
    s(s(index_234)) = index_231,
    inference(superposition,[status(thm),theory(equality)],[c_322,c_3439]) ).

tff(c_7045,plain,
    s(index_240) = index_231,
    inference(demodulation,[status(thm),theory(equality)],[c_7039,c_3514]) ).

tff(c_7095,plain,
    p(index_231) = index_240,
    inference(superposition,[status(thm),theory(equality)],[c_7045,c_12]) ).

tff(c_7449,plain,
    p(index_228) = index_240,
    inference(demodulation,[status(thm),theory(equality)],[c_7444,c_7095]) ).

tff(c_7457,plain,
    index_240 = index_225,
    inference(demodulation,[status(thm),theory(equality)],[c_1517,c_7449]) ).

tff(c_8835,plain,
    index_240 = index_222,
    inference(demodulation,[status(thm),theory(equality)],[c_8827,c_7457]) ).

tff(c_9212,plain,
    index_240 = index_183,
    inference(demodulation,[status(thm),theory(equality)],[c_9201,c_8835]) ).

tff(c_9557,plain,
    index_240 = index_180,
    inference(demodulation,[status(thm),theory(equality)],[c_9551,c_9212]) ).

tff(c_9856,plain,
    index_240 = index_162,
    inference(demodulation,[status(thm),theory(equality)],[c_9826,c_9557]) ).

tff(c_706,plain,
    queue_241 = q45,
    inference(cnfTransformation,[status(thm)],[f_391]) ).

tff(c_534,plain,
    store(queue_239,tail,index_240) = queue_241,
    inference(cnfTransformation,[status(thm)],[f_305]) ).

tff(c_750,plain,
    store(queue_239,tail,index_240) = q45,
    inference(demodulation,[status(thm),theory(equality)],[c_706,c_534]) ).

tff(c_5828,plain,
    select(q45,tail) = index_240,
    inference(superposition,[status(thm),theory(equality)],[c_750,c_5468]) ).

tff(c_10068,plain,
    select(q45,tail) = index_162,
    inference(demodulation,[status(thm),theory(equality)],[c_9856,c_5828]) ).

tff(c_330,plain,
    select(q45,tail) = index_243,
    inference(cnfTransformation,[status(thm)],[f_203]) ).

tff(c_10069,plain,
    index_243 = index_162,
    inference(demodulation,[status(thm),theory(equality)],[c_10068,c_330]) ).

tff(c_10528,plain,
    index_243 = index_102,
    inference(demodulation,[status(thm),theory(equality)],[c_10503,c_10069]) ).

tff(c_332,plain,
    s(index_243) = index_246,
    inference(cnfTransformation,[status(thm)],[f_204]) ).

tff(c_1571,plain,
    p(index_246) = index_243,
    inference(superposition,[status(thm),theory(equality)],[c_332,c_1493]) ).

tff(c_708,plain,
    queue_247 = q46,
    inference(cnfTransformation,[status(thm)],[f_392]) ).

tff(c_538,plain,
    store(queue_245,tail,index_246) = queue_247,
    inference(cnfTransformation,[status(thm)],[f_307]) ).

tff(c_749,plain,
    store(queue_245,tail,index_246) = q46,
    inference(demodulation,[status(thm),theory(equality)],[c_708,c_538]) ).

tff(c_5501,plain,
    select(q46,tail) = index_246,
    inference(superposition,[status(thm),theory(equality)],[c_749,c_5468]) ).

tff(c_334,plain,
    select(q46,tail) = index_249,
    inference(cnfTransformation,[status(thm)],[f_205]) ).

tff(c_9314,plain,
    index_249 = index_246,
    inference(demodulation,[status(thm),theory(equality)],[c_5501,c_334]) ).

tff(c_710,plain,
    queue_253 = q47,
    inference(cnfTransformation,[status(thm)],[f_393]) ).

tff(c_544,plain,
    store(queue_251,tail,index_252) = queue_253,
    inference(cnfTransformation,[status(thm)],[f_310]) ).

tff(c_747,plain,
    store(queue_251,tail,index_252) = q47,
    inference(demodulation,[status(thm),theory(equality)],[c_710,c_544]) ).

tff(c_5573,plain,
    select(q47,tail) = index_252,
    inference(superposition,[status(thm),theory(equality)],[c_747,c_5468]) ).

tff(c_338,plain,
    select(q47,tail) = index_255,
    inference(cnfTransformation,[status(thm)],[f_207]) ).

tff(c_6659,plain,
    index_255 = index_252,
    inference(demodulation,[status(thm),theory(equality)],[c_5573,c_338]) ).

tff(c_340,plain,
    s(index_255) = index_258,
    inference(cnfTransformation,[status(thm)],[f_208]) ).

tff(c_6680,plain,
    s(index_252) = index_258,
    inference(demodulation,[status(thm),theory(equality)],[c_6659,c_340]) ).

tff(c_336,plain,
    s(index_249) = index_252,
    inference(cnfTransformation,[status(thm)],[f_206]) ).

tff(c_3517,plain,
    s(s(index_252)) = index_249,
    inference(superposition,[status(thm),theory(equality)],[c_336,c_3439]) ).

tff(c_4280,plain,
    s(index_252) = p(index_249),
    inference(superposition,[status(thm),theory(equality)],[c_3517,c_12]) ).

tff(c_6686,plain,
    p(index_249) = index_258,
    inference(demodulation,[status(thm),theory(equality)],[c_6680,c_4280]) ).

tff(c_9322,plain,
    p(index_246) = index_258,
    inference(demodulation,[status(thm),theory(equality)],[c_9314,c_6686]) ).

tff(c_9329,plain,
    index_258 = index_243,
    inference(demodulation,[status(thm),theory(equality)],[c_1571,c_9322]) ).

tff(c_712,plain,
    queue_259 = q48,
    inference(cnfTransformation,[status(thm)],[f_394]) ).

tff(c_548,plain,
    store(queue_257,tail,index_258) = queue_259,
    inference(cnfTransformation,[status(thm)],[f_312]) ).

tff(c_746,plain,
    store(queue_257,tail,index_258) = q48,
    inference(demodulation,[status(thm),theory(equality)],[c_712,c_548]) ).

tff(c_5654,plain,
    select(q48,tail) = index_258,
    inference(superposition,[status(thm),theory(equality)],[c_746,c_5468]) ).

tff(c_342,plain,
    select(q48,tail) = index_261,
    inference(cnfTransformation,[status(thm)],[f_209]) ).

tff(c_6449,plain,
    index_261 = index_258,
    inference(demodulation,[status(thm),theory(equality)],[c_5654,c_342]) ).

tff(c_144,plain,
    store(earray_260,index_261,e48) = earray_262,
    inference(cnfTransformation,[status(thm)],[f_110]) ).

tff(c_5630,plain,
    select(earray_262,index_261) = e48,
    inference(superposition,[status(thm),theory(equality)],[c_144,c_5468]) ).

tff(c_7422,plain,
    select(earray_262,index_258) = e48,
    inference(demodulation,[status(thm),theory(equality)],[c_6449,c_5630]) ).

tff(c_9364,plain,
    select(earray_262,index_243) = e48,
    inference(demodulation,[status(thm),theory(equality)],[c_9329,c_7422]) ).

tff(c_11400,plain,
    select(earray_262,index_102) = e48,
    inference(demodulation,[status(thm),theory(equality)],[c_10528,c_9364]) ).

tff(c_10,plain,
    tail != seq,
    inference(cnfTransformation,[status(thm)],[f_36]) ).

tff(c_168,plain,
    select(q49,seq) = earray_296,
    inference(cnfTransformation,[status(thm)],[f_122]) ).

tff(c_714,plain,
    queue_265 = q49,
    inference(cnfTransformation,[status(thm)],[f_395]) ).

tff(c_552,plain,
    store(queue_263,tail,index_264) = queue_265,
    inference(cnfTransformation,[status(thm)],[f_314]) ).

tff(c_745,plain,
    store(queue_263,tail,index_264) = q49,
    inference(demodulation,[status(thm),theory(equality)],[c_714,c_552]) ).

tff(c_15564,plain,
    ! [J_117] :
      ( ( select(queue_263,J_117) = select(q49,J_117) )
      | ( tail = J_117 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_745,c_5970]) ).

tff(c_550,plain,
    store(q48,seq,earray_262) = queue_263,
    inference(cnfTransformation,[status(thm)],[f_313]) ).

tff(c_5651,plain,
    select(queue_263,seq) = earray_262,
    inference(superposition,[status(thm),theory(equality)],[c_550,c_5468]) ).

tff(c_15570,plain,
    ( ( select(q49,seq) = earray_262 )
    | ( tail = seq ) ),
    inference(superposition,[status(thm),theory(equality)],[c_15564,c_5651]) ).

tff(c_15578,plain,
    ( ( earray_296 = earray_262 )
    | ( tail = seq ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_168,c_15570]) ).

tff(c_15579,plain,
    earray_296 = earray_262,
    inference(negUnitSimplification,[status(thm)],[c_10,c_15578]) ).

tff(c_10078,plain,
    index_258 = index_162,
    inference(demodulation,[status(thm),theory(equality)],[c_10069,c_9329]) ).

tff(c_10525,plain,
    index_258 = index_102,
    inference(demodulation,[status(thm),theory(equality)],[c_10503,c_10078]) ).

tff(c_1550,plain,
    p(index_252) = index_249,
    inference(superposition,[status(thm),theory(equality)],[c_336,c_1493]) ).

tff(c_344,plain,
    s(index_261) = index_264,
    inference(cnfTransformation,[status(thm)],[f_210]) ).

tff(c_6459,plain,
    s(index_258) = index_264,
    inference(demodulation,[status(thm),theory(equality)],[c_6449,c_344]) ).

tff(c_3547,plain,
    s(s(index_258)) = index_255,
    inference(superposition,[status(thm),theory(equality)],[c_340,c_3439]) ).

tff(c_6466,plain,
    s(index_264) = index_255,
    inference(demodulation,[status(thm),theory(equality)],[c_6459,c_3547]) ).

tff(c_6525,plain,
    p(index_255) = index_264,
    inference(superposition,[status(thm),theory(equality)],[c_6466,c_12]) ).

tff(c_6674,plain,
    p(index_252) = index_264,
    inference(demodulation,[status(thm),theory(equality)],[c_6659,c_6525]) ).

tff(c_6681,plain,
    index_264 = index_249,
    inference(demodulation,[status(thm),theory(equality)],[c_1550,c_6674]) ).

tff(c_5663,plain,
    select(q49,tail) = index_264,
    inference(superposition,[status(thm),theory(equality)],[c_745,c_5468]) ).

tff(c_8117,plain,
    select(q49,tail) = index_249,
    inference(demodulation,[status(thm),theory(equality)],[c_6681,c_5663]) ).

tff(c_370,plain,
    select(q49,tail) = index_299,
    inference(cnfTransformation,[status(thm)],[f_223]) ).

tff(c_8118,plain,
    index_299 = index_249,
    inference(demodulation,[status(thm),theory(equality)],[c_8117,c_370]) ).

tff(c_376,plain,
    s(index_300) = index_299,
    inference(cnfTransformation,[status(thm)],[f_226]) ).

tff(c_3568,plain,
    s(s(index_299)) = index_300,
    inference(superposition,[status(thm),theory(equality)],[c_376,c_3439]) ).

tff(c_8123,plain,
    s(s(index_249)) = index_300,
    inference(demodulation,[status(thm),theory(equality)],[c_8118,c_3568]) ).

tff(c_8129,plain,
    index_300 = index_258,
    inference(demodulation,[status(thm),theory(equality)],[c_6680,c_336,c_8123]) ).

tff(c_222,plain,
    select(earray_296,index_300) = elem_301,
    inference(cnfTransformation,[status(thm)],[f_149]) ).

tff(c_8136,plain,
    select(earray_296,index_258) = elem_301,
    inference(demodulation,[status(thm),theory(equality)],[c_8129,c_222]) ).

tff(c_11508,plain,
    select(earray_296,index_102) = elem_301,
    inference(demodulation,[status(thm),theory(equality)],[c_10525,c_8136]) ).

tff(c_15583,plain,
    select(earray_262,index_102) = elem_301,
    inference(demodulation,[status(thm),theory(equality)],[c_15579,c_11508]) ).

tff(c_15586,plain,
    elem_301 = e48,
    inference(demodulation,[status(thm),theory(equality)],[c_11400,c_15583]) ).

tff(c_726,plain,
    elem_301 != elem_298,
    inference(cnfTransformation,[status(thm)],[f_402]) ).

tff(c_15592,plain,
    elem_298 != e48,
    inference(demodulation,[status(thm),theory(equality)],[c_15586,c_726]) ).

tff(c_220,plain,
    select(earray_296,index_297) = elem_298,
    inference(cnfTransformation,[status(thm)],[f_148]) ).

tff(c_15585,plain,
    select(earray_262,index_297) = elem_298,
    inference(demodulation,[status(thm),theory(equality)],[c_15579,c_220]) ).

tff(c_9368,plain,
    index_261 = index_243,
    inference(demodulation,[status(thm),theory(equality)],[c_9329,c_6449]) ).

tff(c_10076,plain,
    index_261 = index_162,
    inference(demodulation,[status(thm),theory(equality)],[c_10069,c_9368]) ).

tff(c_10526,plain,
    index_261 = index_102,
    inference(demodulation,[status(thm),theory(equality)],[c_10503,c_10076]) ).

tff(c_142,plain,
    select(q48,seq) = earray_260,
    inference(cnfTransformation,[status(thm)],[f_109]) ).

tff(c_14411,plain,
    ! [J_71] :
      ( ( select(queue_257,J_71) = select(q48,J_71) )
      | ( tail = J_71 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_746,c_5970]) ).

tff(c_546,plain,
    store(q47,seq,earray_256) = queue_257,
    inference(cnfTransformation,[status(thm)],[f_311]) ).

tff(c_5480,plain,
    select(queue_257,seq) = earray_256,
    inference(superposition,[status(thm),theory(equality)],[c_546,c_5468]) ).

tff(c_14417,plain,
    ( ( select(q48,seq) = earray_256 )
    | ( tail = seq ) ),
    inference(superposition,[status(thm),theory(equality)],[c_14411,c_5480]) ).

tff(c_14425,plain,
    ( ( earray_260 = earray_256 )
    | ( tail = seq ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_142,c_14417]) ).

tff(c_14426,plain,
    earray_260 = earray_256,
    inference(negUnitSimplification,[status(thm)],[c_10,c_14425]) ).

tff(c_6142,plain,
    ! [J_27] :
      ( ( select(earray_262,J_27) = select(earray_260,J_27) )
      | ( index_261 = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_144,c_5970]) ).

tff(c_15330,plain,
    ! [J_27] :
      ( ( select(earray_262,J_27) = select(earray_256,J_27) )
      | ( index_102 = J_27 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_10526,c_14426,c_6142]) ).

tff(c_15600,plain,
    ( ( select(earray_256,index_297) = elem_298 )
    | ( index_297 = index_102 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_15585,c_15330]) ).

tff(c_15611,plain,
    index_297 = index_102,
    inference(splitLeft,[status(thm)],[c_15600]) ).

tff(c_15612,plain,
    select(earray_262,index_102) = elem_298,
    inference(demodulation,[status(thm),theory(equality)],[c_15611,c_15585]) ).

tff(c_15614,plain,
    elem_298 = e48,
    inference(demodulation,[status(thm),theory(equality)],[c_11400,c_15612]) ).

tff(c_15616,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_15592,c_15614]) ).

tff(c_15618,plain,
    index_297 != index_102,
    inference(splitRight,[status(thm)],[c_15600]) ).

tff(c_22933,plain,
    index_297 != index_0,
    inference(demodulation,[status(thm),theory(equality)],[c_22918,c_15618]) ).

tff(c_5882,plain,
    select(q0,head) = index_0,
    inference(superposition,[status(thm),theory(equality)],[c_776,c_5468]) ).

tff(c_554,plain,
    store(q4,seq,earray_268) = queue_269,
    inference(cnfTransformation,[status(thm)],[f_315]) ).

tff(c_22049,plain,
    ! [J_288] :
      ( ( select(queue_269,J_288) = select(q4,J_288) )
      | ( seq = J_288 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_554,c_5970]) ).

tff(c_6019,plain,
    ! [J_27] :
      ( ( select(queue_269,J_27) = select(q5,J_27) )
      | ( tail = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_744,c_5970]) ).

tff(c_22055,plain,
    ! [J_288] :
      ( ( select(q5,J_288) = select(q4,J_288) )
      | ( tail = J_288 )
      | ( seq = J_288 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_22049,c_6019]) ).

tff(c_4,plain,
    ! [A_6,I_4,E_7,J_5] :
      ( ( select(store(A_6,I_4,E_7),J_5) = select(A_6,J_5) )
      | ( J_5 = I_4 ) ),
    inference(cnfTransformation,[status(thm)],[f_30]) ).

tff(c_15198,plain,
    ! [J_105] :
      ( ( select(queue_275,J_105) = select(q6,J_105) )
      | ( tail = J_105 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_743,c_4]) ).

tff(c_558,plain,
    store(q5,seq,earray_274) = queue_275,
    inference(cnfTransformation,[status(thm)],[f_317]) ).

tff(c_6172,plain,
    ! [J_27] :
      ( ( select(queue_275,J_27) = select(q5,J_27) )
      | ( seq = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_558,c_5970]) ).

tff(c_15204,plain,
    ! [J_105] :
      ( ( select(q6,J_105) = select(q5,J_105) )
      | ( seq = J_105 )
      | ( tail = J_105 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_15198,c_6172]) ).

tff(c_566,plain,
    store(q7,seq,earray_286) = queue_287,
    inference(cnfTransformation,[status(thm)],[f_321]) ).

tff(c_6256,plain,
    ! [J_27] :
      ( ( select(queue_287,J_27) = select(q7,J_27) )
      | ( seq = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_566,c_5970]) ).

tff(c_22483,plain,
    ! [J_302] :
      ( ( select(queue_287,J_302) = select(q8,J_302) )
      | ( tail = J_302 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_741,c_4]) ).

tff(c_22498,plain,
    ! [J_27] :
      ( ( select(q8,J_27) = select(q7,J_27) )
      | ( tail = J_27 )
      | ( seq = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_6256,c_22483]) ).

tff(c_438,plain,
    store(q9,seq,earray_10) = queue_11,
    inference(cnfTransformation,[status(thm)],[f_257]) ).

tff(c_6367,plain,
    ! [J_27] :
      ( ( select(queue_11,J_27) = select(q9,J_27) )
      | ( seq = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_438,c_5970]) ).

tff(c_23744,plain,
    ! [J_330] :
      ( ( select(queue_11,J_330) = select(q10,J_330) )
      | ( tail = J_330 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_770,c_5970]) ).

tff(c_23759,plain,
    ! [J_27] :
      ( ( select(q9,J_27) = select(q10,J_27) )
      | ( tail = J_27 )
      | ( seq = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_6367,c_23744]) ).

tff(c_6574,plain,
    ! [J_5] :
      ( ( select(queue_293,J_5) = select(q9,J_5) )
      | ( tail = J_5 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_740,c_4]) ).

tff(c_572,plain,
    store(q8,seq,earray_292) = queue_293,
    inference(cnfTransformation,[status(thm)],[f_324]) ).

tff(c_22548,plain,
    ! [J_304] :
      ( ( select(queue_293,J_304) = select(q8,J_304) )
      | ( seq = J_304 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_572,c_5970]) ).

tff(c_30703,plain,
    ! [J_522] :
      ( ( select(q9,J_522) = select(q8,J_522) )
      | ( seq = J_522 )
      | ( tail = J_522 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_6574,c_22548]) ).

tff(c_31473,plain,
    ! [J_531] :
      ( ( select(q8,J_531) = select(q10,J_531) )
      | ( seq = J_531 )
      | ( tail = J_531 )
      | ( tail = J_531 )
      | ( seq = J_531 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_23759,c_30703]) ).

tff(c_31692,plain,
    ! [J_539] :
      ( ( select(q7,J_539) = select(q10,J_539) )
      | ( seq = J_539 )
      | ( tail = J_539 )
      | ( tail = J_539 )
      | ( seq = J_539 )
      | ( tail = J_539 )
      | ( seq = J_539 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_22498,c_31473]) ).

tff(c_6319,plain,
    ! [J_27] :
      ( ( select(queue_281,J_27) = select(q7,J_27) )
      | ( tail = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_742,c_5970]) ).

tff(c_562,plain,
    store(q6,seq,earray_280) = queue_281,
    inference(cnfTransformation,[status(thm)],[f_319]) ).

tff(c_22326,plain,
    ! [J_296] :
      ( ( select(queue_281,J_296) = select(q6,J_296) )
      | ( seq = J_296 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_562,c_5970]) ).

tff(c_22341,plain,
    ! [J_27] :
      ( ( select(q7,J_27) = select(q6,J_27) )
      | ( seq = J_27 )
      | ( tail = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_6319,c_22326]) ).

tff(c_31839,plain,
    ! [J_544] :
      ( ( select(q6,J_544) = select(q10,J_544) )
      | ( seq = J_544 )
      | ( tail = J_544 )
      | ( seq = J_544 )
      | ( tail = J_544 )
      | ( tail = J_544 )
      | ( seq = J_544 )
      | ( tail = J_544 )
      | ( seq = J_544 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_31692,c_22341]) ).

tff(c_31986,plain,
    ! [J_549] :
      ( ( select(q5,J_549) = select(q10,J_549) )
      | ( seq = J_549 )
      | ( tail = J_549 )
      | ( seq = J_549 )
      | ( tail = J_549 )
      | ( tail = J_549 )
      | ( seq = J_549 )
      | ( tail = J_549 )
      | ( seq = J_549 )
      | ( seq = J_549 )
      | ( tail = J_549 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_15204,c_31839]) ).

tff(c_32139,plain,
    ! [J_554] :
      ( ( select(q4,J_554) = select(q10,J_554) )
      | ( seq = J_554 )
      | ( tail = J_554 )
      | ( seq = J_554 )
      | ( tail = J_554 )
      | ( tail = J_554 )
      | ( seq = J_554 )
      | ( tail = J_554 )
      | ( seq = J_554 )
      | ( seq = J_554 )
      | ( tail = J_554 )
      | ( tail = J_554 )
      | ( seq = J_554 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_22055,c_31986]) ).

tff(c_6118,plain,
    ! [J_27] :
      ( ( select(queue_203,J_27) = select(q4,J_27) )
      | ( tail = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_756,c_5970]) ).

tff(c_506,plain,
    store(q3,seq,earray_202) = queue_203,
    inference(cnfTransformation,[status(thm)],[f_291]) ).

tff(c_23412,plain,
    ! [J_322] :
      ( ( select(queue_203,J_322) = select(q3,J_322) )
      | ( seq = J_322 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_506,c_5970]) ).

tff(c_23427,plain,
    ! [J_27] :
      ( ( select(q4,J_27) = select(q3,J_27) )
      | ( seq = J_27 )
      | ( tail = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_6118,c_23412]) ).

tff(c_32232,plain,
    ! [J_557] :
      ( ( select(q3,J_557) = select(q10,J_557) )
      | ( seq = J_557 )
      | ( tail = J_557 )
      | ( seq = J_557 )
      | ( tail = J_557 )
      | ( seq = J_557 )
      | ( tail = J_557 )
      | ( tail = J_557 )
      | ( seq = J_557 )
      | ( tail = J_557 )
      | ( seq = J_557 )
      | ( seq = J_557 )
      | ( tail = J_557 )
      | ( tail = J_557 )
      | ( seq = J_557 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_32139,c_23427]) ).

tff(c_458,plain,
    store(q2,seq,earray_136) = queue_137,
    inference(cnfTransformation,[status(thm)],[f_267]) ).

tff(c_23945,plain,
    ! [J_335] :
      ( ( select(queue_137,J_335) = select(q2,J_335) )
      | ( seq = J_335 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_458,c_5970]) ).

tff(c_6385,plain,
    ! [J_27] :
      ( ( select(queue_137,J_27) = select(q3,J_27) )
      | ( tail = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_768,c_5970]) ).

tff(c_23951,plain,
    ! [J_335] :
      ( ( select(q3,J_335) = select(q2,J_335) )
      | ( tail = J_335 )
      | ( seq = J_335 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_23945,c_6385]) ).

tff(c_32324,plain,
    ! [J_559] :
      ( ( select(q2,J_559) = select(q10,J_559) )
      | ( tail = J_559 )
      | ( seq = J_559 )
      | ( seq = J_559 )
      | ( tail = J_559 )
      | ( seq = J_559 )
      | ( tail = J_559 )
      | ( seq = J_559 )
      | ( tail = J_559 )
      | ( tail = J_559 )
      | ( seq = J_559 )
      | ( tail = J_559 )
      | ( seq = J_559 )
      | ( seq = J_559 )
      | ( tail = J_559 )
      | ( tail = J_559 )
      | ( seq = J_559 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_32232,c_23951]) ).

tff(c_1655,plain,
    p(index_102) = index_99,
    inference(superposition,[status(thm),theory(equality)],[c_226,c_1493]) ).

tff(c_8187,plain,
    p(index_102) = index_96,
    inference(demodulation,[status(thm),theory(equality)],[c_8178,c_1655]) ).

tff(c_9965,plain,
    p(index_102) = index_114,
    inference(demodulation,[status(thm),theory(equality)],[c_9942,c_8187]) ).

tff(c_1553,plain,
    p(index_138) = index_135,
    inference(superposition,[status(thm),theory(equality)],[c_252,c_1493]) ).

tff(c_11703,plain,
    p(index_102) = index_135,
    inference(demodulation,[status(thm),theory(equality)],[c_11664,c_1553]) ).

tff(c_11707,plain,
    index_135 = index_114,
    inference(demodulation,[status(thm),theory(equality)],[c_9965,c_11703]) ).

tff(c_5899,plain,
    store(queue_71,tail,index_135) = q2,
    inference(demodulation,[status(thm),theory(equality)],[c_5897,c_731]) ).

tff(c_12769,plain,
    store(queue_71,tail,index_114) = q2,
    inference(demodulation,[status(thm),theory(equality)],[c_11707,c_5899]) ).

tff(c_29795,plain,
    ! [J_497] :
      ( ( select(queue_71,J_497) = select(q2,J_497) )
      | ( tail = J_497 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_12769,c_4]) ).

tff(c_606,plain,
    store(q1,seq,earray_70) = queue_71,
    inference(cnfTransformation,[status(thm)],[f_341]) ).

tff(c_6289,plain,
    ! [J_27] :
      ( ( select(queue_71,J_27) = select(q1,J_27) )
      | ( seq = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_606,c_5970]) ).

tff(c_29801,plain,
    ! [J_497] :
      ( ( select(q2,J_497) = select(q1,J_497) )
      | ( seq = J_497 )
      | ( tail = J_497 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_29795,c_6289]) ).

tff(c_32368,plain,
    ! [J_560] :
      ( ( select(q10,J_560) = select(q1,J_560) )
      | ( seq = J_560 )
      | ( tail = J_560 )
      | ( tail = J_560 )
      | ( seq = J_560 )
      | ( seq = J_560 )
      | ( tail = J_560 )
      | ( seq = J_560 )
      | ( tail = J_560 )
      | ( seq = J_560 )
      | ( tail = J_560 )
      | ( tail = J_560 )
      | ( seq = J_560 )
      | ( tail = J_560 )
      | ( seq = J_560 )
      | ( seq = J_560 )
      | ( tail = J_560 )
      | ( tail = J_560 )
      | ( seq = J_560 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_32324,c_29801]) ).

tff(c_570,plain,
    store(q12,seq,earray_28) = queue_29,
    inference(cnfTransformation,[status(thm)],[f_323]) ).

tff(c_6229,plain,
    ! [J_27] :
      ( ( select(queue_29,J_27) = select(q12,J_27) )
      | ( seq = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_570,c_5970]) ).

tff(c_15282,plain,
    ! [J_108] :
      ( ( select(queue_29,J_108) = select(q13,J_108) )
      | ( tail = J_108 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_739,c_5970]) ).

tff(c_15297,plain,
    ! [J_27] :
      ( ( select(q13,J_27) = select(q12,J_27) )
      | ( tail = J_27 )
      | ( seq = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_6229,c_15282]) ).

tff(c_23826,plain,
    ! [J_332] :
      ( ( select(queue_65,J_332) = select(q19,J_332) )
      | ( tail = J_332 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_733,c_5970]) ).

tff(c_600,plain,
    store(q18,seq,earray_64) = queue_65,
    inference(cnfTransformation,[status(thm)],[f_338]) ).

tff(c_6133,plain,
    ! [J_27] :
      ( ( select(queue_65,J_27) = select(q18,J_27) )
      | ( seq = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_600,c_5970]) ).

tff(c_23832,plain,
    ! [J_332] :
      ( ( select(q19,J_332) = select(q18,J_332) )
      | ( seq = J_332 )
      | ( tail = J_332 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_23826,c_6133]) ).

tff(c_22688,plain,
    ! [J_308] :
      ( ( select(queue_89,J_308) = select(q22,J_308) )
      | ( tail = J_308 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_728,c_5970]) ).

tff(c_618,plain,
    store(q21,seq,earray_88) = queue_89,
    inference(cnfTransformation,[status(thm)],[f_347]) ).

tff(c_6283,plain,
    ! [J_27] :
      ( ( select(queue_89,J_27) = select(q21,J_27) )
      | ( seq = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_618,c_5970]) ).

tff(c_22694,plain,
    ! [J_308] :
      ( ( select(q22,J_308) = select(q21,J_308) )
      | ( seq = J_308 )
      | ( tail = J_308 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_22688,c_6283]) ).

tff(c_430,plain,
    store(q23,seq,earray_100) = queue_101,
    inference(cnfTransformation,[status(thm)],[f_253]) ).

tff(c_24135,plain,
    ! [J_338] :
      ( ( select(queue_101,J_338) = select(q23,J_338) )
      | ( seq = J_338 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_430,c_5970]) ).

tff(c_6491,plain,
    ! [J_5] :
      ( ( select(queue_101,J_5) = select(q24,J_5) )
      | ( tail = J_5 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_775,c_4]) ).

tff(c_24141,plain,
    ! [J_338] :
      ( ( select(q24,J_338) = select(q23,J_338) )
      | ( tail = J_338 )
      | ( seq = J_338 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_24135,c_6491]) ).

tff(c_14987,plain,
    ! [J_98] :
      ( ( select(queue_107,J_98) = select(q25,J_98) )
      | ( tail = J_98 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_774,c_5970]) ).

tff(c_434,plain,
    store(q24,seq,earray_106) = queue_107,
    inference(cnfTransformation,[status(thm)],[f_255]) ).

tff(c_6091,plain,
    ! [J_27] :
      ( ( select(queue_107,J_27) = select(q24,J_27) )
      | ( seq = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_434,c_5970]) ).

tff(c_14993,plain,
    ! [J_98] :
      ( ( select(q25,J_98) = select(q24,J_98) )
      | ( seq = J_98 )
      | ( tail = J_98 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_14987,c_6091]) ).

tff(c_23619,plain,
    ! [J_327] :
      ( ( select(queue_113,J_327) = select(q26,J_327) )
      | ( tail = J_327 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_773,c_5970]) ).

tff(c_440,plain,
    store(q25,seq,earray_112) = queue_113,
    inference(cnfTransformation,[status(thm)],[f_258]) ).

tff(c_6382,plain,
    ! [J_27] :
      ( ( select(queue_113,J_27) = select(q25,J_27) )
      | ( seq = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_440,c_5970]) ).

tff(c_23625,plain,
    ! [J_327] :
      ( ( select(q26,J_327) = select(q25,J_327) )
      | ( seq = J_327 )
      | ( tail = J_327 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_23619,c_6382]) ).

tff(c_444,plain,
    store(q26,seq,earray_118) = queue_119,
    inference(cnfTransformation,[status(thm)],[f_260]) ).

tff(c_14792,plain,
    ! [J_89] :
      ( ( select(queue_119,J_89) = select(q26,J_89) )
      | ( seq = J_89 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_444,c_5970]) ).

tff(c_6097,plain,
    ! [J_27] :
      ( ( select(queue_119,J_27) = select(q27,J_27) )
      | ( tail = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_772,c_5970]) ).

tff(c_14798,plain,
    ! [J_89] :
      ( ( select(q27,J_89) = select(q26,J_89) )
      | ( tail = J_89 )
      | ( seq = J_89 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_14792,c_6097]) ).

tff(c_474,plain,
    store(q32,seq,earray_160) = queue_161,
    inference(cnfTransformation,[status(thm)],[f_275]) ).

tff(c_15619,plain,
    ! [J_118] :
      ( ( select(queue_161,J_118) = select(q32,J_118) )
      | ( seq = J_118 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_474,c_5970]) ).

tff(c_6286,plain,
    ! [J_27] :
      ( ( select(queue_161,J_27) = select(q33,J_27) )
      | ( tail = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_764,c_5970]) ).

tff(c_15625,plain,
    ! [J_118] :
      ( ( select(q33,J_118) = select(q32,J_118) )
      | ( tail = J_118 )
      | ( seq = J_118 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_15619,c_6286]) ).

tff(c_492,plain,
    store(q36,seq,earray_184) = queue_185,
    inference(cnfTransformation,[status(thm)],[f_284]) ).

tff(c_6235,plain,
    ! [J_27] :
      ( ( select(queue_185,J_27) = select(q36,J_27) )
      | ( seq = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_492,c_5970]) ).

tff(c_15516,plain,
    ! [J_116] :
      ( ( select(queue_185,J_116) = select(q37,J_116) )
      | ( tail = J_116 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_760,c_4]) ).

tff(c_15531,plain,
    ! [J_27] :
      ( ( select(q37,J_27) = select(q36,J_27) )
      | ( tail = J_27 )
      | ( seq = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_6235,c_15516]) ).

tff(c_6349,plain,
    ! [J_27] :
      ( ( select(queue_209,J_27) = select(q40,J_27) )
      | ( tail = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_755,c_5970]) ).

tff(c_510,plain,
    store(q39,seq,earray_208) = queue_209,
    inference(cnfTransformation,[status(thm)],[f_293]) ).

tff(c_23147,plain,
    ! [J_317] :
      ( ( select(queue_209,J_317) = select(q39,J_317) )
      | ( seq = J_317 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_510,c_5970]) ).

tff(c_23162,plain,
    ! [J_27] :
      ( ( select(q40,J_27) = select(q39,J_27) )
      | ( seq = J_27 )
      | ( tail = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_6349,c_23147]) ).

tff(c_528,plain,
    store(q43,seq,earray_232) = queue_233,
    inference(cnfTransformation,[status(thm)],[f_302]) ).

tff(c_5998,plain,
    ! [J_27] :
      ( ( select(queue_233,J_27) = select(q43,J_27) )
      | ( seq = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_528,c_5970]) ).

tff(c_14310,plain,
    ! [J_68] :
      ( ( select(queue_233,J_68) = select(q44,J_68) )
      | ( tail = J_68 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_751,c_5970]) ).

tff(c_30999,plain,
    ! [J_530] :
      ( ( select(q44,J_530) = select(q43,J_530) )
      | ( tail = J_530 )
      | ( seq = J_530 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_5998,c_14310]) ).

tff(c_532,plain,
    store(q44,seq,earray_238) = queue_239,
    inference(cnfTransformation,[status(thm)],[f_304]) ).

tff(c_14665,plain,
    ! [J_84] :
      ( ( select(queue_239,J_84) = select(q44,J_84) )
      | ( seq = J_84 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_532,c_5970]) ).

tff(c_6337,plain,
    ! [J_27] :
      ( ( select(queue_239,J_27) = select(q45,J_27) )
      | ( tail = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_750,c_5970]) ).

tff(c_30920,plain,
    ! [J_528] :
      ( ( select(q45,J_528) = select(q44,J_528) )
      | ( tail = J_528 )
      | ( seq = J_528 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_14665,c_6337]) ).

tff(c_536,plain,
    store(q45,seq,earray_244) = queue_245,
    inference(cnfTransformation,[status(thm)],[f_306]) ).

tff(c_23863,plain,
    ! [J_333] :
      ( ( select(queue_245,J_333) = select(q45,J_333) )
      | ( seq = J_333 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_536,c_5970]) ).

tff(c_6013,plain,
    ! [J_27] :
      ( ( select(queue_245,J_27) = select(q46,J_27) )
      | ( tail = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_749,c_5970]) ).

tff(c_30874,plain,
    ! [J_527] :
      ( ( select(q46,J_527) = select(q45,J_527) )
      | ( tail = J_527 )
      | ( seq = J_527 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_23863,c_6013]) ).

tff(c_542,plain,
    store(q46,seq,earray_250) = queue_251,
    inference(cnfTransformation,[status(thm)],[f_309]) ).

tff(c_6223,plain,
    ! [J_27] :
      ( ( select(queue_251,J_27) = select(q46,J_27) )
      | ( seq = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_542,c_5970]) ).

tff(c_22713,plain,
    ! [J_309] :
      ( ( select(queue_251,J_309) = select(q47,J_309) )
      | ( tail = J_309 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_747,c_5970]) ).

tff(c_30657,plain,
    ! [J_521] :
      ( ( select(q47,J_521) = select(q46,J_521) )
      | ( tail = J_521 )
      | ( seq = J_521 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_6223,c_22713]) ).

tff(c_15668,plain,
    ! [J_120] :
      ( ( select(queue_263,J_120) = select(q48,J_120) )
      | ( seq = J_120 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_550,c_5970]) ).

tff(c_6175,plain,
    ! [J_27] :
      ( ( select(queue_263,J_27) = select(q49,J_27) )
      | ( tail = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_745,c_5970]) ).

tff(c_30136,plain,
    ! [J_506] :
      ( ( select(q49,J_506) = select(q48,J_506) )
      | ( tail = J_506 )
      | ( seq = J_506 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_15668,c_6175]) ).

tff(c_368,plain,
    select(q49,head) = index_297,
    inference(cnfTransformation,[status(thm)],[f_222]) ).

tff(c_30148,plain,
    ( ( select(q48,head) = index_297 )
    | ( tail = head )
    | ( seq = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_30136,c_368]) ).

tff(c_30168,plain,
    select(q48,head) = index_297,
    inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_30148]) ).

tff(c_15154,plain,
    ! [J_103] :
      ( ( select(queue_257,J_103) = select(q47,J_103) )
      | ( seq = J_103 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_546,c_5970]) ).

tff(c_6166,plain,
    ! [J_27] :
      ( ( select(queue_257,J_27) = select(q48,J_27) )
      | ( tail = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_746,c_5970]) ).

tff(c_15160,plain,
    ! [J_103] :
      ( ( select(q48,J_103) = select(q47,J_103) )
      | ( tail = J_103 )
      | ( seq = J_103 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_15154,c_6166]) ).

tff(c_30180,plain,
    ( ( select(q47,head) = index_297 )
    | ( tail = head )
    | ( seq = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_30168,c_15160]) ).

tff(c_30186,plain,
    select(q47,head) = index_297,
    inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_30180]) ).

tff(c_30663,plain,
    ( ( select(q46,head) = index_297 )
    | ( tail = head )
    | ( seq = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_30657,c_30186]) ).

tff(c_30683,plain,
    select(q46,head) = index_297,
    inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_30663]) ).

tff(c_30880,plain,
    ( ( select(q45,head) = index_297 )
    | ( tail = head )
    | ( seq = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_30874,c_30683]) ).

tff(c_30900,plain,
    select(q45,head) = index_297,
    inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_30880]) ).

tff(c_30926,plain,
    ( ( select(q44,head) = index_297 )
    | ( tail = head )
    | ( seq = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_30920,c_30900]) ).

tff(c_30946,plain,
    select(q44,head) = index_297,
    inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_30926]) ).

tff(c_31005,plain,
    ( ( select(q43,head) = index_297 )
    | ( tail = head )
    | ( seq = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_30999,c_30946]) ).

tff(c_31025,plain,
    select(q43,head) = index_297,
    inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_31005]) ).

tff(c_6025,plain,
    ! [J_27] :
      ( ( select(queue_227,J_27) = select(q43,J_27) )
      | ( tail = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_752,c_5970]) ).

tff(c_522,plain,
    store(q42,seq,earray_226) = queue_227,
    inference(cnfTransformation,[status(thm)],[f_299]) ).

tff(c_23781,plain,
    ! [J_331] :
      ( ( select(queue_227,J_331) = select(q42,J_331) )
      | ( seq = J_331 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_522,c_5970]) ).

tff(c_23796,plain,
    ! [J_27] :
      ( ( select(q43,J_27) = select(q42,J_27) )
      | ( seq = J_27 )
      | ( tail = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_6025,c_23781]) ).

tff(c_31043,plain,
    ( ( select(q42,head) = index_297 )
    | ( seq = head )
    | ( tail = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_31025,c_23796]) ).

tff(c_31049,plain,
    select(q42,head) = index_297,
    inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_31043]) ).

tff(c_518,plain,
    store(q41,seq,earray_220) = queue_221,
    inference(cnfTransformation,[status(thm)],[f_297]) ).

tff(c_6016,plain,
    ! [J_27] :
      ( ( select(queue_221,J_27) = select(q41,J_27) )
      | ( seq = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_518,c_5970]) ).

tff(c_22573,plain,
    ! [J_305] :
      ( ( select(queue_221,J_305) = select(q42,J_305) )
      | ( tail = J_305 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_753,c_5970]) ).

tff(c_22588,plain,
    ! [J_27] :
      ( ( select(q42,J_27) = select(q41,J_27) )
      | ( tail = J_27 )
      | ( seq = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_6016,c_22573]) ).

tff(c_31056,plain,
    ( ( select(q41,head) = index_297 )
    | ( tail = head )
    | ( seq = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_31049,c_22588]) ).

tff(c_31062,plain,
    select(q41,head) = index_297,
    inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_31056]) ).

tff(c_6274,plain,
    ! [J_27] :
      ( ( select(queue_215,J_27) = select(q41,J_27) )
      | ( tail = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_754,c_5970]) ).

tff(c_514,plain,
    store(q40,seq,earray_214) = queue_215,
    inference(cnfTransformation,[status(thm)],[f_295]) ).

tff(c_13717,plain,
    ! [J_46] :
      ( ( select(queue_215,J_46) = select(q40,J_46) )
      | ( seq = J_46 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_514,c_5970]) ).

tff(c_13732,plain,
    ! [J_27] :
      ( ( select(q41,J_27) = select(q40,J_27) )
      | ( seq = J_27 )
      | ( tail = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_6274,c_13717]) ).

tff(c_31069,plain,
    ( ( select(q40,head) = index_297 )
    | ( seq = head )
    | ( tail = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_31062,c_13732]) ).

tff(c_31075,plain,
    select(q40,head) = index_297,
    inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_31069]) ).

tff(c_31086,plain,
    ( ( select(q39,head) = index_297 )
    | ( seq = head )
    | ( tail = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_23162,c_31075]) ).

tff(c_31090,plain,
    select(q39,head) = index_297,
    inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_31086]) ).

tff(c_13929,plain,
    ! [J_55] :
      ( ( select(queue_197,J_55) = select(q39,J_55) )
      | ( tail = J_55 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_757,c_5970]) ).

tff(c_502,plain,
    store(q38,seq,earray_196) = queue_197,
    inference(cnfTransformation,[status(thm)],[f_289]) ).

tff(c_6037,plain,
    ! [J_27] :
      ( ( select(queue_197,J_27) = select(q38,J_27) )
      | ( seq = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_502,c_5970]) ).

tff(c_13935,plain,
    ! [J_55] :
      ( ( select(q39,J_55) = select(q38,J_55) )
      | ( seq = J_55 )
      | ( tail = J_55 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_13929,c_6037]) ).

tff(c_31095,plain,
    ( ( select(q38,head) = index_297 )
    | ( seq = head )
    | ( tail = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_31090,c_13935]) ).

tff(c_31101,plain,
    select(q38,head) = index_297,
    inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_31095]) ).

tff(c_498,plain,
    store(q37,seq,earray_190) = queue_191,
    inference(cnfTransformation,[status(thm)],[f_287]) ).

tff(c_6100,plain,
    ! [J_27] :
      ( ( select(queue_191,J_27) = select(q37,J_27) )
      | ( seq = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_498,c_5970]) ).

tff(c_14202,plain,
    ! [J_65] :
      ( ( select(queue_191,J_65) = select(q38,J_65) )
      | ( tail = J_65 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_758,c_5970]) ).

tff(c_14217,plain,
    ! [J_27] :
      ( ( select(q38,J_27) = select(q37,J_27) )
      | ( tail = J_27 )
      | ( seq = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_6100,c_14202]) ).

tff(c_31108,plain,
    ( ( select(q37,head) = index_297 )
    | ( tail = head )
    | ( seq = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_31101,c_14217]) ).

tff(c_31114,plain,
    select(q37,head) = index_297,
    inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_31108]) ).

tff(c_31125,plain,
    ( ( select(q36,head) = index_297 )
    | ( tail = head )
    | ( seq = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_15531,c_31114]) ).

tff(c_31129,plain,
    select(q36,head) = index_297,
    inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_31125]) ).

tff(c_23497,plain,
    ! [J_324] :
      ( ( select(queue_179,J_324) = select(q36,J_324) )
      | ( tail = J_324 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_761,c_5970]) ).

tff(c_488,plain,
    store(q35,seq,earray_178) = queue_179,
    inference(cnfTransformation,[status(thm)],[f_282]) ).

tff(c_6154,plain,
    ! [J_27] :
      ( ( select(queue_179,J_27) = select(q35,J_27) )
      | ( seq = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_488,c_5970]) ).

tff(c_23503,plain,
    ! [J_324] :
      ( ( select(q36,J_324) = select(q35,J_324) )
      | ( seq = J_324 )
      | ( tail = J_324 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_23497,c_6154]) ).

tff(c_31134,plain,
    ( ( select(q35,head) = index_297 )
    | ( seq = head )
    | ( tail = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_31129,c_23503]) ).

tff(c_31140,plain,
    select(q35,head) = index_297,
    inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_31134]) ).

tff(c_484,plain,
    store(q34,seq,earray_172) = queue_173,
    inference(cnfTransformation,[status(thm)],[f_280]) ).

tff(c_22380,plain,
    ! [J_298] :
      ( ( select(queue_173,J_298) = select(q34,J_298) )
      | ( seq = J_298 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_484,c_5970]) ).

tff(c_6250,plain,
    ! [J_27] :
      ( ( select(queue_173,J_27) = select(q35,J_27) )
      | ( tail = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_762,c_5970]) ).

tff(c_22386,plain,
    ! [J_298] :
      ( ( select(q35,J_298) = select(q34,J_298) )
      | ( tail = J_298 )
      | ( seq = J_298 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_22380,c_6250]) ).

tff(c_31147,plain,
    ( ( select(q34,head) = index_297 )
    | ( tail = head )
    | ( seq = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_31140,c_22386]) ).

tff(c_31153,plain,
    select(q34,head) = index_297,
    inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_31147]) ).

tff(c_478,plain,
    store(q33,seq,earray_166) = queue_167,
    inference(cnfTransformation,[status(thm)],[f_277]) ).

tff(c_6196,plain,
    ! [J_27] :
      ( ( select(queue_167,J_27) = select(q33,J_27) )
      | ( seq = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_478,c_5970]) ).

tff(c_23047,plain,
    ! [J_315] :
      ( ( select(queue_167,J_315) = select(q34,J_315) )
      | ( tail = J_315 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_763,c_5970]) ).

tff(c_23062,plain,
    ! [J_27] :
      ( ( select(q34,J_27) = select(q33,J_27) )
      | ( tail = J_27 )
      | ( seq = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_6196,c_23047]) ).

tff(c_31160,plain,
    ( ( select(q33,head) = index_297 )
    | ( tail = head )
    | ( seq = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_31153,c_23062]) ).

tff(c_31166,plain,
    select(q33,head) = index_297,
    inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_31160]) ).

tff(c_31177,plain,
    ( ( select(q32,head) = index_297 )
    | ( tail = head )
    | ( seq = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_15625,c_31166]) ).

tff(c_31181,plain,
    select(q32,head) = index_297,
    inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_31177]) ).

tff(c_470,plain,
    store(q31,seq,earray_154) = queue_155,
    inference(cnfTransformation,[status(thm)],[f_273]) ).

tff(c_24055,plain,
    ! [J_337] :
      ( ( select(queue_155,J_337) = select(q31,J_337) )
      | ( seq = J_337 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_470,c_5970]) ).

tff(c_6220,plain,
    ! [J_27] :
      ( ( select(queue_155,J_27) = select(q32,J_27) )
      | ( tail = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_765,c_5970]) ).

tff(c_24061,plain,
    ! [J_337] :
      ( ( select(q32,J_337) = select(q31,J_337) )
      | ( tail = J_337 )
      | ( seq = J_337 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_24055,c_6220]) ).

tff(c_31186,plain,
    ( ( select(q31,head) = index_297 )
    | ( tail = head )
    | ( seq = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_31181,c_24061]) ).

tff(c_31192,plain,
    select(q31,head) = index_297,
    inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_31186]) ).

tff(c_23664,plain,
    ! [J_328] :
      ( ( select(queue_149,J_328) = select(q31,J_328) )
      | ( tail = J_328 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_766,c_5970]) ).

tff(c_466,plain,
    store(q30,seq,earray_148) = queue_149,
    inference(cnfTransformation,[status(thm)],[f_271]) ).

tff(c_6115,plain,
    ! [J_27] :
      ( ( select(queue_149,J_27) = select(q30,J_27) )
      | ( seq = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_466,c_5970]) ).

tff(c_23670,plain,
    ! [J_328] :
      ( ( select(q31,J_328) = select(q30,J_328) )
      | ( seq = J_328 )
      | ( tail = J_328 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_23664,c_6115]) ).

tff(c_31199,plain,
    ( ( select(q30,head) = index_297 )
    | ( seq = head )
    | ( tail = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_31192,c_23670]) ).

tff(c_31205,plain,
    select(q30,head) = index_297,
    inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_31199]) ).

tff(c_6061,plain,
    ! [J_27] :
      ( ( select(queue_143,J_27) = select(q30,J_27) )
      | ( tail = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_767,c_5970]) ).

tff(c_462,plain,
    store(q29,seq,earray_142) = queue_143,
    inference(cnfTransformation,[status(thm)],[f_269]) ).

tff(c_22228,plain,
    ! [J_293] :
      ( ( select(queue_143,J_293) = select(q29,J_293) )
      | ( seq = J_293 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_462,c_5970]) ).

tff(c_22243,plain,
    ! [J_27] :
      ( ( select(q30,J_27) = select(q29,J_27) )
      | ( seq = J_27 )
      | ( tail = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_6061,c_22228]) ).

tff(c_31212,plain,
    ( ( select(q29,head) = index_297 )
    | ( seq = head )
    | ( tail = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_31205,c_22243]) ).

tff(c_31218,plain,
    select(q29,head) = index_297,
    inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_31212]) ).

tff(c_22098,plain,
    ! [J_290] :
      ( ( select(queue_131,J_290) = select(q29,J_290) )
      | ( tail = J_290 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_769,c_4]) ).

tff(c_454,plain,
    store(q28,seq,earray_130) = queue_131,
    inference(cnfTransformation,[status(thm)],[f_265]) ).

tff(c_6403,plain,
    ! [J_27] :
      ( ( select(queue_131,J_27) = select(q28,J_27) )
      | ( seq = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_454,c_5970]) ).

tff(c_22104,plain,
    ! [J_290] :
      ( ( select(q29,J_290) = select(q28,J_290) )
      | ( seq = J_290 )
      | ( tail = J_290 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_22098,c_6403]) ).

tff(c_31225,plain,
    ( ( select(q28,head) = index_297 )
    | ( seq = head )
    | ( tail = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_31218,c_22104]) ).

tff(c_31231,plain,
    select(q28,head) = index_297,
    inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_31225]) ).

tff(c_22843,plain,
    ! [J_313] :
      ( ( select(queue_125,J_313) = select(q28,J_313) )
      | ( tail = J_313 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_771,c_5970]) ).

tff(c_448,plain,
    store(q27,seq,earray_124) = queue_125,
    inference(cnfTransformation,[status(thm)],[f_262]) ).

tff(c_6064,plain,
    ! [J_27] :
      ( ( select(queue_125,J_27) = select(q27,J_27) )
      | ( seq = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_448,c_5970]) ).

tff(c_22849,plain,
    ! [J_313] :
      ( ( select(q28,J_313) = select(q27,J_313) )
      | ( seq = J_313 )
      | ( tail = J_313 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_22843,c_6064]) ).

tff(c_31238,plain,
    ( ( select(q27,head) = index_297 )
    | ( seq = head )
    | ( tail = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_31231,c_22849]) ).

tff(c_31244,plain,
    select(q27,head) = index_297,
    inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_31238]) ).

tff(c_31255,plain,
    ( ( select(q26,head) = index_297 )
    | ( tail = head )
    | ( seq = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_14798,c_31244]) ).

tff(c_31259,plain,
    select(q26,head) = index_297,
    inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_31255]) ).

tff(c_31268,plain,
    ( ( select(q25,head) = index_297 )
    | ( seq = head )
    | ( tail = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_23625,c_31259]) ).

tff(c_31272,plain,
    select(q25,head) = index_297,
    inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_31268]) ).

tff(c_31281,plain,
    ( ( select(q24,head) = index_297 )
    | ( seq = head )
    | ( tail = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_14993,c_31272]) ).

tff(c_31285,plain,
    select(q24,head) = index_297,
    inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_31281]) ).

tff(c_31294,plain,
    ( ( select(q23,head) = index_297 )
    | ( tail = head )
    | ( seq = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_24141,c_31285]) ).

tff(c_31298,plain,
    select(q23,head) = index_297,
    inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_31294]) ).

tff(c_15348,plain,
    ! [J_110] :
      ( ( select(queue_95,J_110) = select(q23,J_110) )
      | ( tail = J_110 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_727,c_5970]) ).

tff(c_622,plain,
    store(q22,seq,earray_94) = queue_95,
    inference(cnfTransformation,[status(thm)],[f_349]) ).

tff(c_6244,plain,
    ! [J_27] :
      ( ( select(queue_95,J_27) = select(q22,J_27) )
      | ( seq = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_622,c_5970]) ).

tff(c_15354,plain,
    ! [J_110] :
      ( ( select(q23,J_110) = select(q22,J_110) )
      | ( seq = J_110 )
      | ( tail = J_110 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_15348,c_6244]) ).

tff(c_31303,plain,
    ( ( select(q22,head) = index_297 )
    | ( seq = head )
    | ( tail = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_31298,c_15354]) ).

tff(c_31309,plain,
    select(q22,head) = index_297,
    inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_31303]) ).

tff(c_31320,plain,
    ( ( select(q21,head) = index_297 )
    | ( seq = head )
    | ( tail = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_22694,c_31309]) ).

tff(c_31324,plain,
    select(q21,head) = index_297,
    inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_31320]) ).

tff(c_614,plain,
    store(q20,seq,earray_82) = queue_83,
    inference(cnfTransformation,[status(thm)],[f_345]) ).

tff(c_23908,plain,
    ! [J_334] :
      ( ( select(queue_83,J_334) = select(q20,J_334) )
      | ( seq = J_334 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_614,c_5970]) ).

tff(c_6076,plain,
    ! [J_27] :
      ( ( select(queue_83,J_27) = select(q21,J_27) )
      | ( tail = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_729,c_5970]) ).

tff(c_23914,plain,
    ! [J_334] :
      ( ( select(q21,J_334) = select(q20,J_334) )
      | ( tail = J_334 )
      | ( seq = J_334 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_23908,c_6076]) ).

tff(c_31329,plain,
    ( ( select(q20,head) = index_297 )
    | ( tail = head )
    | ( seq = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_31324,c_23914]) ).

tff(c_31335,plain,
    select(q20,head) = index_297,
    inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_31329]) ).

tff(c_6352,plain,
    ! [J_27] :
      ( ( select(queue_77,J_27) = select(q20,J_27) )
      | ( tail = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_730,c_5970]) ).

tff(c_610,plain,
    store(q19,seq,earray_76) = queue_77,
    inference(cnfTransformation,[status(thm)],[f_343]) ).

tff(c_13166,plain,
    ! [J_32] :
      ( ( select(queue_77,J_32) = select(q19,J_32) )
      | ( seq = J_32 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_610,c_5970]) ).

tff(c_13181,plain,
    ! [J_27] :
      ( ( select(q20,J_27) = select(q19,J_27) )
      | ( seq = J_27 )
      | ( tail = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_6352,c_13166]) ).

tff(c_31342,plain,
    ( ( select(q19,head) = index_297 )
    | ( seq = head )
    | ( tail = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_31335,c_13181]) ).

tff(c_31348,plain,
    select(q19,head) = index_297,
    inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_31342]) ).

tff(c_31359,plain,
    ( ( select(q18,head) = index_297 )
    | ( seq = head )
    | ( tail = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_23832,c_31348]) ).

tff(c_31363,plain,
    select(q18,head) = index_297,
    inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_31359]) ).

tff(c_596,plain,
    store(q17,seq,earray_58) = queue_59,
    inference(cnfTransformation,[status(thm)],[f_336]) ).

tff(c_14715,plain,
    ! [J_86] :
      ( ( select(queue_59,J_86) = select(q17,J_86) )
      | ( seq = J_86 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_596,c_5970]) ).

tff(c_6001,plain,
    ! [J_27] :
      ( ( select(queue_59,J_27) = select(q18,J_27) )
      | ( tail = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_734,c_5970]) ).

tff(c_14721,plain,
    ! [J_86] :
      ( ( select(q18,J_86) = select(q17,J_86) )
      | ( tail = J_86 )
      | ( seq = J_86 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_14715,c_6001]) ).

tff(c_31368,plain,
    ( ( select(q17,head) = index_297 )
    | ( tail = head )
    | ( seq = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_31363,c_14721]) ).

tff(c_31374,plain,
    select(q17,head) = index_297,
    inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_31368]) ).

tff(c_22605,plain,
    ! [J_306] :
      ( ( select(queue_53,J_306) = select(q17,J_306) )
      | ( tail = J_306 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_735,c_4]) ).

tff(c_592,plain,
    store(q16,seq,earray_52) = queue_53,
    inference(cnfTransformation,[status(thm)],[f_334]) ).

tff(c_6295,plain,
    ! [J_27] :
      ( ( select(queue_53,J_27) = select(q16,J_27) )
      | ( seq = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_592,c_5970]) ).

tff(c_22611,plain,
    ! [J_306] :
      ( ( select(q17,J_306) = select(q16,J_306) )
      | ( seq = J_306 )
      | ( tail = J_306 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_22605,c_6295]) ).

tff(c_31381,plain,
    ( ( select(q16,head) = index_297 )
    | ( seq = head )
    | ( tail = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_31374,c_22611]) ).

tff(c_31387,plain,
    select(q16,head) = index_297,
    inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_31381]) ).

tff(c_24268,plain,
    ! [J_340] :
      ( ( select(queue_47,J_340) = select(q16,J_340) )
      | ( tail = J_340 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_736,c_5970]) ).

tff(c_586,plain,
    store(q15,seq,earray_46) = queue_47,
    inference(cnfTransformation,[status(thm)],[f_331]) ).

tff(c_6277,plain,
    ! [J_27] :
      ( ( select(queue_47,J_27) = select(q15,J_27) )
      | ( seq = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_586,c_5970]) ).

tff(c_24274,plain,
    ! [J_340] :
      ( ( select(q16,J_340) = select(q15,J_340) )
      | ( seq = J_340 )
      | ( tail = J_340 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_24268,c_6277]) ).

tff(c_31394,plain,
    ( ( select(q15,head) = index_297 )
    | ( seq = head )
    | ( tail = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_31387,c_24274]) ).

tff(c_31400,plain,
    select(q15,head) = index_297,
    inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_31394]) ).

tff(c_582,plain,
    store(q14,seq,earray_40) = queue_41,
    inference(cnfTransformation,[status(thm)],[f_329]) ).

tff(c_6208,plain,
    ! [J_27] :
      ( ( select(queue_41,J_27) = select(q14,J_27) )
      | ( seq = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_582,c_5970]) ).

tff(c_23701,plain,
    ! [J_329] :
      ( ( select(queue_41,J_329) = select(q15,J_329) )
      | ( tail = J_329 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_737,c_5970]) ).

tff(c_23716,plain,
    ! [J_27] :
      ( ( select(q15,J_27) = select(q14,J_27) )
      | ( tail = J_27 )
      | ( seq = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_6208,c_23701]) ).

tff(c_31407,plain,
    ( ( select(q14,head) = index_297 )
    | ( tail = head )
    | ( seq = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_31400,c_23716]) ).

tff(c_31413,plain,
    select(q14,head) = index_297,
    inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_31407]) ).

tff(c_6397,plain,
    ! [J_27] :
      ( ( select(queue_35,J_27) = select(q14,J_27) )
      | ( tail = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_738,c_5970]) ).

tff(c_578,plain,
    store(q13,seq,earray_34) = queue_35,
    inference(cnfTransformation,[status(thm)],[f_327]) ).

tff(c_23532,plain,
    ! [J_325] :
      ( ( select(queue_35,J_325) = select(q13,J_325) )
      | ( seq = J_325 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_578,c_5970]) ).

tff(c_23547,plain,
    ! [J_27] :
      ( ( select(q14,J_27) = select(q13,J_27) )
      | ( seq = J_27 )
      | ( tail = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_6397,c_23532]) ).

tff(c_31420,plain,
    ( ( select(q13,head) = index_297 )
    | ( seq = head )
    | ( tail = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_31413,c_23547]) ).

tff(c_31426,plain,
    select(q13,head) = index_297,
    inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_31420]) ).

tff(c_31437,plain,
    ( ( select(q12,head) = index_297 )
    | ( tail = head )
    | ( seq = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_15297,c_31426]) ).

tff(c_31441,plain,
    select(q12,head) = index_297,
    inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_31437]) ).

tff(c_526,plain,
    store(q11,seq,earray_22) = queue_23,
    inference(cnfTransformation,[status(thm)],[f_301]) ).

tff(c_23574,plain,
    ! [J_326] :
      ( ( select(queue_23,J_326) = select(q11,J_326) )
      | ( seq = J_326 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_526,c_5970]) ).

tff(c_6379,plain,
    ! [J_27] :
      ( ( select(queue_23,J_27) = select(q12,J_27) )
      | ( tail = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_748,c_5970]) ).

tff(c_23580,plain,
    ! [J_326] :
      ( ( select(q12,J_326) = select(q11,J_326) )
      | ( tail = J_326 )
      | ( seq = J_326 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_23574,c_6379]) ).

tff(c_31446,plain,
    ( ( select(q11,head) = index_297 )
    | ( tail = head )
    | ( seq = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_31441,c_23580]) ).

tff(c_31452,plain,
    select(q11,head) = index_297,
    inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_31446]) ).

tff(c_15413,plain,
    ! [J_112] :
      ( ( select(queue_17,J_112) = select(q11,J_112) )
      | ( tail = J_112 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_759,c_5970]) ).

tff(c_482,plain,
    store(q10,seq,earray_16) = queue_17,
    inference(cnfTransformation,[status(thm)],[f_279]) ).

tff(c_6094,plain,
    ! [J_27] :
      ( ( select(queue_17,J_27) = select(q10,J_27) )
      | ( seq = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_482,c_5970]) ).

tff(c_15419,plain,
    ! [J_112] :
      ( ( select(q11,J_112) = select(q10,J_112) )
      | ( seq = J_112 )
      | ( tail = J_112 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_15413,c_6094]) ).

tff(c_31459,plain,
    ( ( select(q10,head) = index_297 )
    | ( seq = head )
    | ( tail = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_31452,c_15419]) ).

tff(c_31465,plain,
    select(q10,head) = index_297,
    inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_31459]) ).

tff(c_32374,plain,
    ( ( select(q1,head) = index_297 )
    | ( seq = head )
    | ( tail = head )
    | ( tail = head )
    | ( seq = head )
    | ( seq = head )
    | ( tail = head )
    | ( seq = head )
    | ( tail = head )
    | ( seq = head )
    | ( tail = head )
    | ( tail = head )
    | ( seq = head )
    | ( tail = head )
    | ( seq = head )
    | ( seq = head )
    | ( tail = head )
    | ( tail = head )
    | ( seq = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_32368,c_31465]) ).

tff(c_32394,plain,
    select(q1,head) = index_297,
    inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_6,c_8,c_8,c_6,c_8,c_6,c_6,c_8,c_6,c_8,c_6,c_8,c_8,c_6,c_6,c_8,c_32374]) ).

tff(c_14169,plain,
    ! [J_64] :
      ( ( select(queue_5,J_64) = select(q1,J_64) )
      | ( tail = J_64 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_732,c_5970]) ).

tff(c_590,plain,
    store(q0,seq,earray_4) = queue_5,
    inference(cnfTransformation,[status(thm)],[f_333]) ).

tff(c_6265,plain,
    ! [J_27] :
      ( ( select(queue_5,J_27) = select(q0,J_27) )
      | ( seq = J_27 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_590,c_5970]) ).

tff(c_14175,plain,
    ! [J_64] :
      ( ( select(q1,J_64) = select(q0,J_64) )
      | ( seq = J_64 )
      | ( tail = J_64 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_14169,c_6265]) ).

tff(c_32412,plain,
    ( ( select(q0,head) = index_297 )
    | ( seq = head )
    | ( tail = head ) ),
    inference(superposition,[status(thm),theory(equality)],[c_32394,c_14175]) ).

tff(c_32418,plain,
    ( ( index_297 = index_0 )
    | ( seq = head )
    | ( tail = head ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_5882,c_32412]) ).

tff(c_32420,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_22933,c_32418]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWV571-1.049 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.35  % Computer : n012.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu Aug  3 22:45:22 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 37.46/21.48  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 37.64/21.59  
% 37.64/21.59  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 38.18/21.70  
% 38.18/21.70  Inference rules
% 38.18/21.70  ----------------------
% 38.18/21.70  #Ref     : 0
% 38.18/21.70  #Sup     : 8909
% 38.18/21.70  #Fact    : 0
% 38.18/21.70  #Define  : 0
% 38.18/21.70  #Split   : 3
% 38.18/21.70  #Chain   : 0
% 38.18/21.70  #Close   : 0
% 38.18/21.70  
% 38.18/21.70  Ordering : KBO
% 38.18/21.70  
% 38.18/21.70  Simplification rules
% 38.18/21.70  ----------------------
% 38.18/21.70  #Subsume      : 1518
% 38.18/21.70  #Demod        : 4931
% 38.18/21.70  #Tautology    : 7025
% 38.18/21.70  #SimpNegUnit  : 1305
% 38.18/21.70  #BackRed      : 1422
% 38.18/21.70  
% 38.18/21.70  #Partial instantiations: 0
% 38.18/21.70  #Strategies tried      : 1
% 38.18/21.70  
% 38.18/21.70  Timing (in seconds)
% 38.18/21.70  ----------------------
% 38.18/21.70  Preprocessing        : 0.86
% 38.18/21.70  Parsing              : 0.41
% 38.23/21.70  CNF conversion       : 0.06
% 38.23/21.70  Main loop            : 19.59
% 38.23/21.70  Inferencing          : 5.20
% 38.23/21.70  Reduction            : 10.32
% 38.23/21.70  Demodulation         : 8.54
% 38.23/21.70  BG Simplification    : 0.09
% 38.23/21.70  Subsumption          : 3.04
% 38.23/21.70  Abstraction          : 0.13
% 38.23/21.70  MUC search           : 0.00
% 38.23/21.70  Cooper               : 0.00
% 38.23/21.70  Total                : 20.68
% 38.23/21.70  Index Insertion      : 0.00
% 38.23/21.70  Index Deletion       : 0.00
% 38.23/21.70  Index Matching       : 0.00
% 38.23/21.70  BG Taut test         : 0.00
%------------------------------------------------------------------------------