%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SWV570-1.049 : TPTP v8.1.2. Bugfixed v5.0.0.
% 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 : n022.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Aug 22 11:05:12 EDT 2023

% Result   : Unsatisfiable 24.01s 11.39s
% Output   : CNFRefutation 24.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   39
%            Number of leaves      :  679
% Syntax   : Number of formulae    : 1525 (1113 unt; 412 typ;   0 def)
%            Number of atoms       : 1113 (1112 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :   16 (  10   >;   6   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :  412 ( 412 usr; 402 con; 0-3 aty)
%            Number of variables   :   44 (;  44   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ store > select > rstore_tail > rstore_seq > rstore_head > #nlpp > s > rselect_tail > rselect_seq > rselect_head > p > 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 > 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(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(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(rstore_seq,type,
    rstore_seq: ( $i * $i ) > $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(rstore_head,type,
    rstore_head: ( $i * $i ) > $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(rselect_tail,type,
    rselect_tail: $i > $i ).

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

tff(rselect_seq,type,
    rselect_seq: $i > $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(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(rstore_tail,type,
    rstore_tail: ( $i * $i ) > $i ).

tff(rselect_head,type,
    rselect_head: $i > $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_366,axiom,
    q10 = queue_13,
    file(unknown,unknown) ).

tff(f_277,axiom,
    queue_13 = rstore_tail(queue_11,index_12),
    file(unknown,unknown) ).

tff(f_37,axiom,
    ! [A,E] : ( rselect_tail(rstore_tail(A,E)) = E ),
    file(unknown,unknown) ).

tff(f_181,axiom,
    index_15 = rselect_tail(q10),
    file(unknown,unknown) ).

tff(f_192,axiom,
    index_18 = s(index_15),
    file(unknown,unknown) ).

tff(f_367,axiom,
    q11 = queue_19,
    file(unknown,unknown) ).

tff(f_299,axiom,
    queue_19 = rstore_tail(queue_17,index_18),
    file(unknown,unknown) ).

tff(f_203,axiom,
    index_21 = rselect_tail(q11),
    file(unknown,unknown) ).

tff(f_214,axiom,
    index_24 = s(index_21),
    file(unknown,unknown) ).

tff(f_61,axiom,
    ! [X] : ( s(s(s(X))) = X ),
    file(unknown,unknown) ).

tff(f_368,axiom,
    q12 = queue_25,
    file(unknown,unknown) ).

tff(f_321,axiom,
    queue_25 = rstore_tail(queue_23,index_24),
    file(unknown,unknown) ).

tff(f_225,axiom,
    index_27 = rselect_tail(q12),
    file(unknown,unknown) ).

tff(f_238,axiom,
    index_30 = s(index_27),
    file(unknown,unknown) ).

tff(f_371,axiom,
    q15 = queue_43,
    file(unknown,unknown) ).

tff(f_343,axiom,
    queue_43 = rstore_tail(queue_41,index_42),
    file(unknown,unknown) ).

tff(f_244,axiom,
    index_45 = rselect_tail(q15),
    file(unknown,unknown) ).

tff(f_245,axiom,
    index_48 = s(index_45),
    file(unknown,unknown) ).

tff(f_370,axiom,
    q14 = queue_37,
    file(unknown,unknown) ).

tff(f_341,axiom,
    queue_37 = rstore_tail(queue_35,index_36),
    file(unknown,unknown) ).

tff(f_242,axiom,
    index_39 = rselect_tail(q14),
    file(unknown,unknown) ).

tff(f_243,axiom,
    index_42 = s(index_39),
    file(unknown,unknown) ).

tff(f_369,axiom,
    q13 = queue_31,
    file(unknown,unknown) ).

tff(f_339,axiom,
    queue_31 = rstore_tail(queue_29,index_30),
    file(unknown,unknown) ).

tff(f_240,axiom,
    index_33 = rselect_tail(q13),
    file(unknown,unknown) ).

tff(f_241,axiom,
    index_36 = s(index_33),
    file(unknown,unknown) ).

tff(f_372,axiom,
    q16 = queue_49,
    file(unknown,unknown) ).

tff(f_345,axiom,
    queue_49 = rstore_tail(queue_47,index_48),
    file(unknown,unknown) ).

tff(f_246,axiom,
    index_51 = rselect_tail(q16),
    file(unknown,unknown) ).

tff(f_247,axiom,
    index_54 = s(index_51),
    file(unknown,unknown) ).

tff(f_373,axiom,
    q17 = queue_55,
    file(unknown,unknown) ).

tff(f_348,axiom,
    queue_55 = rstore_tail(queue_53,index_54),
    file(unknown,unknown) ).

tff(f_248,axiom,
    index_57 = rselect_tail(q17),
    file(unknown,unknown) ).

tff(f_250,axiom,
    index_60 = s(index_57),
    file(unknown,unknown) ).

tff(f_374,axiom,
    q18 = queue_61,
    file(unknown,unknown) ).

tff(f_350,axiom,
    queue_61 = rstore_tail(queue_59,index_60),
    file(unknown,unknown) ).

tff(f_251,axiom,
    index_63 = rselect_tail(q18),
    file(unknown,unknown) ).

tff(f_252,axiom,
    index_66 = s(index_63),
    file(unknown,unknown) ).

tff(f_375,axiom,
    q19 = queue_67,
    file(unknown,unknown) ).

tff(f_352,axiom,
    queue_67 = rstore_tail(queue_65,index_66),
    file(unknown,unknown) ).

tff(f_255,axiom,
    index_75 = rselect_tail(q19),
    file(unknown,unknown) ).

tff(f_256,axiom,
    index_78 = s(index_75),
    file(unknown,unknown) ).

tff(f_381,axiom,
    q24 = queue_103,
    file(unknown,unknown) ).

tff(f_267,axiom,
    queue_103 = rstore_tail(queue_101,index_102),
    file(unknown,unknown) ).

tff(f_165,axiom,
    index_105 = rselect_tail(q24),
    file(unknown,unknown) ).

tff(f_166,axiom,
    index_108 = s(index_105),
    file(unknown,unknown) ).

tff(f_51,axiom,
    ! [X] : ( p(s(X)) = X ),
    file(unknown,unknown) ).

tff(f_380,axiom,
    q23 = queue_97,
    file(unknown,unknown) ).

tff(f_363,axiom,
    queue_97 = rstore_tail(queue_95,index_96),
    file(unknown,unknown) ).

tff(f_264,axiom,
    index_99 = rselect_tail(q23),
    file(unknown,unknown) ).

tff(f_164,axiom,
    index_102 = s(index_99),
    file(unknown,unknown) ).

tff(f_379,axiom,
    q22 = queue_91,
    file(unknown,unknown) ).

tff(f_361,axiom,
    queue_91 = rstore_tail(queue_89,index_90),
    file(unknown,unknown) ).

tff(f_262,axiom,
    index_93 = rselect_tail(q22),
    file(unknown,unknown) ).

tff(f_263,axiom,
    index_96 = s(index_93),
    file(unknown,unknown) ).

tff(f_378,axiom,
    q21 = queue_85,
    file(unknown,unknown) ).

tff(f_359,axiom,
    queue_85 = rstore_tail(queue_83,index_84),
    file(unknown,unknown) ).

tff(f_259,axiom,
    index_87 = rselect_tail(q21),
    file(unknown,unknown) ).

tff(f_261,axiom,
    index_90 = s(index_87),
    file(unknown,unknown) ).

tff(f_377,axiom,
    q20 = queue_79,
    file(unknown,unknown) ).

tff(f_357,axiom,
    queue_79 = rstore_tail(queue_77,index_78),
    file(unknown,unknown) ).

tff(f_257,axiom,
    index_81 = rselect_tail(q20),
    file(unknown,unknown) ).

tff(f_258,axiom,
    index_84 = s(index_81),
    file(unknown,unknown) ).

tff(f_382,axiom,
    q25 = queue_109,
    file(unknown,unknown) ).

tff(f_269,axiom,
    queue_109 = rstore_tail(queue_107,index_108),
    file(unknown,unknown) ).

tff(f_167,axiom,
    index_111 = rselect_tail(q25),
    file(unknown,unknown) ).

tff(f_168,axiom,
    index_114 = s(index_111),
    file(unknown,unknown) ).

tff(f_53,axiom,
    ! [X] : ( s(p(X)) = X ),
    file(unknown,unknown) ).

tff(f_170,axiom,
    index_12 = s(index_9),
    file(unknown,unknown) ).

tff(f_260,axiom,
    index_9 = rselect_tail(q9),
    file(unknown,unknown) ).

tff(f_410,axiom,
    q6 = queue_277,
    file(unknown,unknown) ).

tff(f_331,axiom,
    queue_277 = rstore_tail(queue_275,index_276),
    file(unknown,unknown) ).

tff(f_229,axiom,
    index_279 = rselect_tail(q6),
    file(unknown,unknown) ).

tff(f_230,axiom,
    index_282 = s(index_279),
    file(unknown,unknown) ).

tff(f_411,axiom,
    q7 = queue_283,
    file(unknown,unknown) ).

tff(f_333,axiom,
    queue_283 = rstore_tail(queue_281,index_282),
    file(unknown,unknown) ).

tff(f_231,axiom,
    index_285 = rselect_tail(q7),
    file(unknown,unknown) ).

tff(f_412,axiom,
    q8 = queue_289,
    file(unknown,unknown) ).

tff(f_335,axiom,
    queue_289 = rstore_tail(queue_287,index_288),
    file(unknown,unknown) ).

tff(f_233,axiom,
    index_291 = rselect_tail(q8),
    file(unknown,unknown) ).

tff(f_234,axiom,
    index_294 = s(index_291),
    file(unknown,unknown) ).

tff(f_232,axiom,
    index_288 = s(index_285),
    file(unknown,unknown) ).

tff(f_413,axiom,
    q9 = queue_295,
    file(unknown,unknown) ).

tff(f_338,axiom,
    queue_295 = rstore_tail(queue_293,index_294),
    file(unknown,unknown) ).

tff(f_409,axiom,
    q5 = queue_271,
    file(unknown,unknown) ).

tff(f_329,axiom,
    queue_271 = rstore_tail(queue_269,index_270),
    file(unknown,unknown) ).

tff(f_227,axiom,
    index_273 = rselect_tail(q5),
    file(unknown,unknown) ).

tff(f_228,axiom,
    index_276 = s(index_273),
    file(unknown,unknown) ).

tff(f_398,axiom,
    q4 = queue_205,
    file(unknown,unknown) ).

tff(f_305,axiom,
    queue_205 = rstore_tail(queue_203,index_204),
    file(unknown,unknown) ).

tff(f_224,axiom,
    index_267 = rselect_tail(q4),
    file(unknown,unknown) ).

tff(f_226,axiom,
    index_270 = s(index_267),
    file(unknown,unknown) ).

tff(f_163,axiom,
    index_0 = rselect_tail(q),
    file(unknown,unknown) ).

tff(f_237,axiom,
    index_3 = rselect_tail(q0),
    file(unknown,unknown) ).

tff(f_364,axiom,
    q0 = queue_1,
    file(unknown,unknown) ).

tff(f_265,axiom,
    queue_1 = rstore_head(q,index_0),
    file(unknown,unknown) ).

tff(f_49,axiom,
    ! [A,E] : ( rselect_tail(rstore_head(A,E)) = rselect_tail(A) ),
    file(unknown,unknown) ).

tff(f_249,axiom,
    index_6 = s(index_3),
    file(unknown,unknown) ).

tff(f_177,axiom,
    index_138 = s(index_135),
    file(unknown,unknown) ).

tff(f_365,axiom,
    q1 = queue_7,
    file(unknown,unknown) ).

tff(f_353,axiom,
    queue_7 = rstore_tail(queue_5,index_6),
    file(unknown,unknown) ).

tff(f_253,axiom,
    index_69 = rselect_tail(q1),
    file(unknown,unknown) ).

tff(f_176,axiom,
    index_135 = rselect_tail(q2),
    file(unknown,unknown) ).

tff(f_376,axiom,
    q2 = queue_73,
    file(unknown,unknown) ).

tff(f_355,axiom,
    queue_73 = rstore_tail(queue_71,index_72),
    file(unknown,unknown) ).

tff(f_254,axiom,
    index_72 = s(index_69),
    file(unknown,unknown) ).

tff(f_387,axiom,
    q3 = queue_139,
    file(unknown,unknown) ).

tff(f_281,axiom,
    queue_139 = rstore_tail(queue_137,index_138),
    file(unknown,unknown) ).

tff(f_200,axiom,
    index_201 = rselect_tail(q3),
    file(unknown,unknown) ).

tff(f_201,axiom,
    index_204 = s(index_201),
    file(unknown,unknown) ).

tff(f_383,axiom,
    q26 = queue_115,
    file(unknown,unknown) ).

tff(f_272,axiom,
    queue_115 = rstore_tail(queue_113,index_114),
    file(unknown,unknown) ).

tff(f_169,axiom,
    index_117 = rselect_tail(q26),
    file(unknown,unknown) ).

tff(f_171,axiom,
    index_120 = s(index_117),
    file(unknown,unknown) ).

tff(f_384,axiom,
    q27 = queue_121,
    file(unknown,unknown) ).

tff(f_274,axiom,
    queue_121 = rstore_tail(queue_119,index_120),
    file(unknown,unknown) ).

tff(f_172,axiom,
    index_123 = rselect_tail(q27),
    file(unknown,unknown) ).

tff(f_173,axiom,
    index_126 = s(index_123),
    file(unknown,unknown) ).

tff(f_385,axiom,
    q28 = queue_127,
    file(unknown,unknown) ).

tff(f_276,axiom,
    queue_127 = rstore_tail(queue_125,index_126),
    file(unknown,unknown) ).

tff(f_174,axiom,
    index_129 = rselect_tail(q28),
    file(unknown,unknown) ).

tff(f_175,axiom,
    index_132 = s(index_129),
    file(unknown,unknown) ).

tff(f_389,axiom,
    q31 = queue_151,
    file(unknown,unknown) ).

tff(f_285,axiom,
    queue_151 = rstore_tail(queue_149,index_150),
    file(unknown,unknown) ).

tff(f_183,axiom,
    index_153 = rselect_tail(q31),
    file(unknown,unknown) ).

tff(f_184,axiom,
    index_156 = s(index_153),
    file(unknown,unknown) ).

tff(f_388,axiom,
    q30 = queue_145,
    file(unknown,unknown) ).

tff(f_283,axiom,
    queue_145 = rstore_tail(queue_143,index_144),
    file(unknown,unknown) ).

tff(f_180,axiom,
    index_147 = rselect_tail(q30),
    file(unknown,unknown) ).

tff(f_182,axiom,
    index_150 = s(index_147),
    file(unknown,unknown) ).

tff(f_386,axiom,
    q29 = queue_133,
    file(unknown,unknown) ).

tff(f_279,axiom,
    queue_133 = rstore_tail(queue_131,index_132),
    file(unknown,unknown) ).

tff(f_178,axiom,
    index_141 = rselect_tail(q29),
    file(unknown,unknown) ).

tff(f_179,axiom,
    index_144 = s(index_141),
    file(unknown,unknown) ).

tff(f_390,axiom,
    q32 = queue_157,
    file(unknown,unknown) ).

tff(f_287,axiom,
    queue_157 = rstore_tail(queue_155,index_156),
    file(unknown,unknown) ).

tff(f_185,axiom,
    index_159 = rselect_tail(q32),
    file(unknown,unknown) ).

tff(f_186,axiom,
    index_162 = s(index_159),
    file(unknown,unknown) ).

tff(f_391,axiom,
    q33 = queue_163,
    file(unknown,unknown) ).

tff(f_289,axiom,
    queue_163 = rstore_tail(queue_161,index_162),
    file(unknown,unknown) ).

tff(f_187,axiom,
    index_165 = rselect_tail(q33),
    file(unknown,unknown) ).

tff(f_188,axiom,
    index_168 = s(index_165),
    file(unknown,unknown) ).

tff(f_392,axiom,
    q34 = queue_169,
    file(unknown,unknown) ).

tff(f_291,axiom,
    queue_169 = rstore_tail(queue_167,index_168),
    file(unknown,unknown) ).

tff(f_189,axiom,
    index_171 = rselect_tail(q34),
    file(unknown,unknown) ).

tff(f_190,axiom,
    index_174 = s(index_171),
    file(unknown,unknown) ).

tff(f_394,axiom,
    q36 = queue_181,
    file(unknown,unknown) ).

tff(f_296,axiom,
    queue_181 = rstore_tail(queue_179,index_180),
    file(unknown,unknown) ).

tff(f_194,axiom,
    index_183 = rselect_tail(q36),
    file(unknown,unknown) ).

tff(f_195,axiom,
    index_186 = s(index_183),
    file(unknown,unknown) ).

tff(f_396,axiom,
    q38 = queue_193,
    file(unknown,unknown) ).

tff(f_301,axiom,
    queue_193 = rstore_tail(queue_191,index_192),
    file(unknown,unknown) ).

tff(f_198,axiom,
    index_195 = rselect_tail(q38),
    file(unknown,unknown) ).

tff(f_199,axiom,
    index_198 = s(index_195),
    file(unknown,unknown) ).

tff(f_395,axiom,
    q37 = queue_187,
    file(unknown,unknown) ).

tff(f_298,axiom,
    queue_187 = rstore_tail(queue_185,index_186),
    file(unknown,unknown) ).

tff(f_196,axiom,
    index_189 = rselect_tail(q37),
    file(unknown,unknown) ).

tff(f_197,axiom,
    index_192 = s(index_189),
    file(unknown,unknown) ).

tff(f_397,axiom,
    q39 = queue_199,
    file(unknown,unknown) ).

tff(f_303,axiom,
    queue_199 = rstore_tail(queue_197,index_198),
    file(unknown,unknown) ).

tff(f_202,axiom,
    index_207 = rselect_tail(q39),
    file(unknown,unknown) ).

tff(f_204,axiom,
    index_210 = s(index_207),
    file(unknown,unknown) ).

tff(f_393,axiom,
    q35 = queue_175,
    file(unknown,unknown) ).

tff(f_294,axiom,
    queue_175 = rstore_tail(queue_173,index_174),
    file(unknown,unknown) ).

tff(f_191,axiom,
    index_177 = rselect_tail(q35),
    file(unknown,unknown) ).

tff(f_193,axiom,
    index_180 = s(index_177),
    file(unknown,unknown) ).

tff(f_399,axiom,
    q40 = queue_211,
    file(unknown,unknown) ).

tff(f_307,axiom,
    queue_211 = rstore_tail(queue_209,index_210),
    file(unknown,unknown) ).

tff(f_205,axiom,
    index_213 = rselect_tail(q40),
    file(unknown,unknown) ).

tff(f_206,axiom,
    index_216 = s(index_213),
    file(unknown,unknown) ).

tff(f_402,axiom,
    q43 = queue_229,
    file(unknown,unknown) ).

tff(f_313,axiom,
    queue_229 = rstore_tail(queue_227,index_228),
    file(unknown,unknown) ).

tff(f_211,axiom,
    index_231 = rselect_tail(q43),
    file(unknown,unknown) ).

tff(f_212,axiom,
    index_234 = s(index_231),
    file(unknown,unknown) ).

tff(f_401,axiom,
    q42 = queue_223,
    file(unknown,unknown) ).

tff(f_311,axiom,
    queue_223 = rstore_tail(queue_221,index_222),
    file(unknown,unknown) ).

tff(f_209,axiom,
    index_225 = rselect_tail(q42),
    file(unknown,unknown) ).

tff(f_210,axiom,
    index_228 = s(index_225),
    file(unknown,unknown) ).

tff(f_400,axiom,
    q41 = queue_217,
    file(unknown,unknown) ).

tff(f_309,axiom,
    queue_217 = rstore_tail(queue_215,index_216),
    file(unknown,unknown) ).

tff(f_207,axiom,
    index_219 = rselect_tail(q41),
    file(unknown,unknown) ).

tff(f_208,axiom,
    index_222 = s(index_219),
    file(unknown,unknown) ).

tff(f_407,axiom,
    q48 = queue_259,
    file(unknown,unknown) ).

tff(f_325,axiom,
    queue_259 = rstore_tail(queue_257,index_258),
    file(unknown,unknown) ).

tff(f_222,axiom,
    index_261 = rselect_tail(q48),
    file(unknown,unknown) ).

tff(f_223,axiom,
    index_264 = s(index_261),
    file(unknown,unknown) ).

tff(f_406,axiom,
    q47 = queue_253,
    file(unknown,unknown) ).

tff(f_323,axiom,
    queue_253 = rstore_tail(queue_251,index_252),
    file(unknown,unknown) ).

tff(f_220,axiom,
    index_255 = rselect_tail(q47),
    file(unknown,unknown) ).

tff(f_221,axiom,
    index_258 = s(index_255),
    file(unknown,unknown) ).

tff(f_403,axiom,
    q44 = queue_235,
    file(unknown,unknown) ).

tff(f_316,axiom,
    queue_235 = rstore_tail(queue_233,index_234),
    file(unknown,unknown) ).

tff(f_213,axiom,
    index_237 = rselect_tail(q44),
    file(unknown,unknown) ).

tff(f_215,axiom,
    index_240 = s(index_237),
    file(unknown,unknown) ).

tff(f_404,axiom,
    q45 = queue_241,
    file(unknown,unknown) ).

tff(f_318,axiom,
    queue_241 = rstore_tail(queue_239,index_240),
    file(unknown,unknown) ).

tff(f_216,axiom,
    index_243 = rselect_tail(q45),
    file(unknown,unknown) ).

tff(f_217,axiom,
    index_246 = s(index_243),
    file(unknown,unknown) ).

tff(f_405,axiom,
    q46 = queue_247,
    file(unknown,unknown) ).

tff(f_320,axiom,
    queue_247 = rstore_tail(queue_245,index_246),
    file(unknown,unknown) ).

tff(f_218,axiom,
    index_249 = rselect_tail(q46),
    file(unknown,unknown) ).

tff(f_219,axiom,
    index_252 = s(index_249),
    file(unknown,unknown) ).

tff(f_408,axiom,
    q49 = queue_265,
    file(unknown,unknown) ).

tff(f_327,axiom,
    queue_265 = rstore_tail(queue_263,index_264),
    file(unknown,unknown) ).

tff(f_236,axiom,
    index_299 = rselect_tail(q49),
    file(unknown,unknown) ).

tff(f_239,axiom,
    s(index_300) = index_299,
    file(unknown,unknown) ).

tff(f_326,axiom,
    queue_263 = rstore_seq(q48,earray_262),
    file(unknown,unknown) ).

tff(f_33,axiom,
    ! [A,E] : ( rselect_seq(rstore_seq(A,E)) = E ),
    file(unknown,unknown) ).

tff(f_135,axiom,
    earray_296 = rselect_seq(q49),
    file(unknown,unknown) ).

tff(f_41,axiom,
    ! [A,E] : ( rselect_seq(rstore_tail(A,E)) = rselect_seq(A) ),
    file(unknown,unknown) ).

tff(f_162,axiom,
    elem_301 = select(earray_296,index_300),
    file(unknown,unknown) ).

tff(f_123,axiom,
    earray_262 = store(earray_260,index_261,e48),
    file(unknown,unknown) ).

tff(f_27,axiom,
    ! [A,I,E] : ( select(store(A,I,E),I) = E ),
    file(unknown,unknown) ).

tff(f_415,axiom,
    elem_298 != elem_301,
    file(unknown,unknown) ).

tff(f_342,axiom,
    queue_41 = rstore_seq(q14,earray_40),
    file(unknown,unknown) ).

tff(f_45,axiom,
    ! [A,E] : ( rselect_head(rstore_seq(A,E)) = rselect_head(A) ),
    file(unknown,unknown) ).

tff(f_43,axiom,
    ! [A,E] : ( rselect_head(rstore_tail(A,E)) = rselect_head(A) ),
    file(unknown,unknown) ).

tff(f_344,axiom,
    queue_47 = rstore_seq(q15,earray_46),
    file(unknown,unknown) ).

tff(f_347,axiom,
    queue_53 = rstore_seq(q16,earray_52),
    file(unknown,unknown) ).

tff(f_349,axiom,
    queue_59 = rstore_seq(q17,earray_58),
    file(unknown,unknown) ).

tff(f_324,axiom,
    queue_257 = rstore_seq(q47,earray_256),
    file(unknown,unknown) ).

tff(f_235,axiom,
    index_297 = rselect_head(q49),
    file(unknown,unknown) ).

tff(f_282,axiom,
    queue_143 = rstore_seq(q29,earray_142),
    file(unknown,unknown) ).

tff(f_284,axiom,
    queue_149 = rstore_seq(q30,earray_148),
    file(unknown,unknown) ).

tff(f_286,axiom,
    queue_155 = rstore_seq(q31,earray_154),
    file(unknown,unknown) ).

tff(f_288,axiom,
    queue_161 = rstore_seq(q32,earray_160),
    file(unknown,unknown) ).

tff(f_290,axiom,
    queue_167 = rstore_seq(q33,earray_166),
    file(unknown,unknown) ).

tff(f_293,axiom,
    queue_173 = rstore_seq(q34,earray_172),
    file(unknown,unknown) ).

tff(f_295,axiom,
    queue_179 = rstore_seq(q35,earray_178),
    file(unknown,unknown) ).

tff(f_297,axiom,
    queue_185 = rstore_seq(q36,earray_184),
    file(unknown,unknown) ).

tff(f_300,axiom,
    queue_191 = rstore_seq(q37,earray_190),
    file(unknown,unknown) ).

tff(f_302,axiom,
    queue_197 = rstore_seq(q38,earray_196),
    file(unknown,unknown) ).

tff(f_306,axiom,
    queue_209 = rstore_seq(q39,earray_208),
    file(unknown,unknown) ).

tff(f_308,axiom,
    queue_215 = rstore_seq(q40,earray_214),
    file(unknown,unknown) ).

tff(f_310,axiom,
    queue_221 = rstore_seq(q41,earray_220),
    file(unknown,unknown) ).

tff(f_312,axiom,
    queue_227 = rstore_seq(q42,earray_226),
    file(unknown,unknown) ).

tff(f_315,axiom,
    queue_233 = rstore_seq(q43,earray_232),
    file(unknown,unknown) ).

tff(f_317,axiom,
    queue_239 = rstore_seq(q44,earray_238),
    file(unknown,unknown) ).

tff(f_319,axiom,
    queue_245 = rstore_seq(q45,earray_244),
    file(unknown,unknown) ).

tff(f_322,axiom,
    queue_251 = rstore_seq(q46,earray_250),
    file(unknown,unknown) ).

tff(f_351,axiom,
    queue_65 = rstore_seq(q18,earray_64),
    file(unknown,unknown) ).

tff(f_356,axiom,
    queue_77 = rstore_seq(q19,earray_76),
    file(unknown,unknown) ).

tff(f_358,axiom,
    queue_83 = rstore_seq(q20,earray_82),
    file(unknown,unknown) ).

tff(f_360,axiom,
    queue_89 = rstore_seq(q21,earray_88),
    file(unknown,unknown) ).

tff(f_362,axiom,
    queue_95 = rstore_seq(q22,earray_94),
    file(unknown,unknown) ).

tff(f_266,axiom,
    queue_101 = rstore_seq(q23,earray_100),
    file(unknown,unknown) ).

tff(f_268,axiom,
    queue_107 = rstore_seq(q24,earray_106),
    file(unknown,unknown) ).

tff(f_271,axiom,
    queue_113 = rstore_seq(q25,earray_112),
    file(unknown,unknown) ).

tff(f_273,axiom,
    queue_119 = rstore_seq(q26,earray_118),
    file(unknown,unknown) ).

tff(f_275,axiom,
    queue_125 = rstore_seq(q27,earray_124),
    file(unknown,unknown) ).

tff(f_278,axiom,
    queue_131 = rstore_seq(q28,earray_130),
    file(unknown,unknown) ).

tff(f_35,axiom,
    ! [A,E] : ( rselect_head(rstore_head(A,E)) = E ),
    file(unknown,unknown) ).

tff(f_346,axiom,
    queue_5 = rstore_seq(q0,earray_4),
    file(unknown,unknown) ).

tff(f_354,axiom,
    queue_71 = rstore_seq(q1,earray_70),
    file(unknown,unknown) ).

tff(f_280,axiom,
    queue_137 = rstore_seq(q2,earray_136),
    file(unknown,unknown) ).

tff(f_332,axiom,
    queue_281 = rstore_seq(q6,earray_280),
    file(unknown,unknown) ).

tff(f_334,axiom,
    queue_287 = rstore_seq(q7,earray_286),
    file(unknown,unknown) ).

tff(f_337,axiom,
    queue_293 = rstore_seq(q8,earray_292),
    file(unknown,unknown) ).

tff(f_270,axiom,
    queue_11 = rstore_seq(q9,earray_10),
    file(unknown,unknown) ).

tff(f_304,axiom,
    queue_203 = rstore_seq(q3,earray_202),
    file(unknown,unknown) ).

tff(f_328,axiom,
    queue_269 = rstore_seq(q4,earray_268),
    file(unknown,unknown) ).

tff(f_330,axiom,
    queue_275 = rstore_seq(q5,earray_274),
    file(unknown,unknown) ).

tff(f_292,axiom,
    queue_17 = rstore_seq(q10,earray_16),
    file(unknown,unknown) ).

tff(f_314,axiom,
    queue_23 = rstore_seq(q11,earray_22),
    file(unknown,unknown) ).

tff(f_336,axiom,
    queue_29 = rstore_seq(q12,earray_28),
    file(unknown,unknown) ).

tff(f_340,axiom,
    queue_35 = rstore_seq(q13,earray_34),
    file(unknown,unknown) ).

tff(f_161,axiom,
    elem_298 = select(earray_296,index_297),
    file(unknown,unknown) ).

tff(c_642,plain,
    queue_13 = q10,
    inference(cnfTransformation,[status(thm)],[f_366]) ).

tff(c_464,plain,
    rstore_tail(queue_11,index_12) = queue_13,
    inference(cnfTransformation,[status(thm)],[f_277]) ).

tff(c_782,plain,
    rstore_tail(queue_11,index_12) = q10,
    inference(demodulation,[status(thm),theory(equality)],[c_642,c_464]) ).

tff(c_3940,plain,
    ! [A_41,E_42] : ( rselect_tail(rstore_tail(A_41,E_42)) = E_42 ),
    inference(cnfTransformation,[status(thm)],[f_37]) ).

tff(c_3991,plain,
    rselect_tail(q10) = index_12,
    inference(superposition,[status(thm),theory(equality)],[c_782,c_3940]) ).

tff(c_272,plain,
    rselect_tail(q10) = index_15,
    inference(cnfTransformation,[status(thm)],[f_181]) ).

tff(c_6800,plain,
    index_15 = index_12,
    inference(demodulation,[status(thm),theory(equality)],[c_3991,c_272]) ).

tff(c_294,plain,
    s(index_15) = index_18,
    inference(cnfTransformation,[status(thm)],[f_192]) ).

tff(c_6813,plain,
    s(index_12) = index_18,
    inference(demodulation,[status(thm),theory(equality)],[c_6800,c_294]) ).

tff(c_644,plain,
    queue_19 = q11,
    inference(cnfTransformation,[status(thm)],[f_367]) ).

tff(c_508,plain,
    rstore_tail(queue_17,index_18) = queue_19,
    inference(cnfTransformation,[status(thm)],[f_299]) ).

tff(c_771,plain,
    rstore_tail(queue_17,index_18) = q11,
    inference(demodulation,[status(thm),theory(equality)],[c_644,c_508]) ).

tff(c_3967,plain,
    rselect_tail(q11) = index_18,
    inference(superposition,[status(thm),theory(equality)],[c_771,c_3940]) ).

tff(c_316,plain,
    rselect_tail(q11) = index_21,
    inference(cnfTransformation,[status(thm)],[f_203]) ).

tff(c_4265,plain,
    index_21 = index_18,
    inference(demodulation,[status(thm),theory(equality)],[c_3967,c_316]) ).

tff(c_338,plain,
    s(index_21) = index_24,
    inference(cnfTransformation,[status(thm)],[f_214]) ).

tff(c_4274,plain,
    s(index_18) = index_24,
    inference(demodulation,[status(thm),theory(equality)],[c_4265,c_338]) ).

tff(c_3399,plain,
    ! [X_38] : ( s(s(s(X_38))) = X_38 ),
    inference(cnfTransformation,[status(thm)],[f_61]) ).

tff(c_3444,plain,
    s(s(index_18)) = index_15,
    inference(superposition,[status(thm),theory(equality)],[c_294,c_3399]) ).

tff(c_4463,plain,
    s(index_24) = index_15,
    inference(demodulation,[status(thm),theory(equality)],[c_4274,c_3444]) ).

tff(c_6808,plain,
    s(index_24) = index_12,
    inference(demodulation,[status(thm),theory(equality)],[c_6800,c_4463]) ).

tff(c_646,plain,
    queue_25 = q12,
    inference(cnfTransformation,[status(thm)],[f_368]) ).

tff(c_552,plain,
    rstore_tail(queue_23,index_24) = queue_25,
    inference(cnfTransformation,[status(thm)],[f_321]) ).

tff(c_760,plain,
    rstore_tail(queue_23,index_24) = q12,
    inference(demodulation,[status(thm),theory(equality)],[c_646,c_552]) ).

tff(c_4003,plain,
    rselect_tail(q12) = index_24,
    inference(superposition,[status(thm),theory(equality)],[c_760,c_3940]) ).

tff(c_360,plain,
    rselect_tail(q12) = index_27,
    inference(cnfTransformation,[status(thm)],[f_225]) ).

tff(c_6728,plain,
    index_27 = index_24,
    inference(demodulation,[status(thm),theory(equality)],[c_4003,c_360]) ).

tff(c_386,plain,
    s(index_27) = index_30,
    inference(cnfTransformation,[status(thm)],[f_238]) ).

tff(c_6738,plain,
    s(index_24) = index_30,
    inference(demodulation,[status(thm),theory(equality)],[c_6728,c_386]) ).

tff(c_6739,plain,
    index_30 = index_15,
    inference(demodulation,[status(thm),theory(equality)],[c_4463,c_6738]) ).

tff(c_652,plain,
    queue_43 = q15,
    inference(cnfTransformation,[status(thm)],[f_371]) ).

tff(c_596,plain,
    rstore_tail(queue_41,index_42) = queue_43,
    inference(cnfTransformation,[status(thm)],[f_343]) ).

tff(c_749,plain,
    rstore_tail(queue_41,index_42) = q15,
    inference(demodulation,[status(thm),theory(equality)],[c_652,c_596]) ).

tff(c_4051,plain,
    rselect_tail(q15) = index_42,
    inference(superposition,[status(thm),theory(equality)],[c_749,c_3940]) ).

tff(c_398,plain,
    rselect_tail(q15) = index_45,
    inference(cnfTransformation,[status(thm)],[f_244]) ).

tff(c_4987,plain,
    index_45 = index_42,
    inference(demodulation,[status(thm),theory(equality)],[c_4051,c_398]) ).

tff(c_400,plain,
    s(index_45) = index_48,
    inference(cnfTransformation,[status(thm)],[f_245]) ).

tff(c_4997,plain,
    s(index_42) = index_48,
    inference(demodulation,[status(thm),theory(equality)],[c_4987,c_400]) ).

tff(c_650,plain,
    queue_37 = q14,
    inference(cnfTransformation,[status(thm)],[f_370]) ).

tff(c_592,plain,
    rstore_tail(queue_35,index_36) = queue_37,
    inference(cnfTransformation,[status(thm)],[f_341]) ).

tff(c_750,plain,
    rstore_tail(queue_35,index_36) = q14,
    inference(demodulation,[status(thm),theory(equality)],[c_650,c_592]) ).

tff(c_4063,plain,
    rselect_tail(q14) = index_36,
    inference(superposition,[status(thm),theory(equality)],[c_750,c_3940]) ).

tff(c_394,plain,
    rselect_tail(q14) = index_39,
    inference(cnfTransformation,[status(thm)],[f_242]) ).

tff(c_4245,plain,
    index_39 = index_36,
    inference(demodulation,[status(thm),theory(equality)],[c_4063,c_394]) ).

tff(c_396,plain,
    s(index_39) = index_42,
    inference(cnfTransformation,[status(thm)],[f_243]) ).

tff(c_4255,plain,
    s(index_36) = index_42,
    inference(demodulation,[status(thm),theory(equality)],[c_4245,c_396]) ).

tff(c_648,plain,
    queue_31 = q13,
    inference(cnfTransformation,[status(thm)],[f_369]) ).

tff(c_588,plain,
    rstore_tail(queue_29,index_30) = queue_31,
    inference(cnfTransformation,[status(thm)],[f_339]) ).

tff(c_751,plain,
    rstore_tail(queue_29,index_30) = q13,
    inference(demodulation,[status(thm),theory(equality)],[c_648,c_588]) ).

tff(c_3976,plain,
    rselect_tail(q13) = index_30,
    inference(superposition,[status(thm),theory(equality)],[c_751,c_3940]) ).

tff(c_390,plain,
    rselect_tail(q13) = index_33,
    inference(cnfTransformation,[status(thm)],[f_240]) ).

tff(c_4854,plain,
    index_33 = index_30,
    inference(demodulation,[status(thm),theory(equality)],[c_3976,c_390]) ).

tff(c_392,plain,
    s(index_33) = index_36,
    inference(cnfTransformation,[status(thm)],[f_241]) ).

tff(c_4864,plain,
    s(index_30) = index_36,
    inference(demodulation,[status(thm),theory(equality)],[c_4854,c_392]) ).

tff(c_32,plain,
    ! [X_30] : ( s(s(s(X_30))) = X_30 ),
    inference(cnfTransformation,[status(thm)],[f_61]) ).

tff(c_6442,plain,
    s(s(index_36)) = index_30,
    inference(superposition,[status(thm),theory(equality)],[c_4864,c_32]) ).

tff(c_6457,plain,
    index_48 = index_30,
    inference(demodulation,[status(thm),theory(equality)],[c_4997,c_4255,c_6442]) ).

tff(c_6745,plain,
    index_48 = index_15,
    inference(demodulation,[status(thm),theory(equality)],[c_6739,c_6457]) ).

tff(c_6805,plain,
    index_48 = index_12,
    inference(demodulation,[status(thm),theory(equality)],[c_6800,c_6745]) ).

tff(c_654,plain,
    queue_49 = q16,
    inference(cnfTransformation,[status(thm)],[f_372]) ).

tff(c_600,plain,
    rstore_tail(queue_47,index_48) = queue_49,
    inference(cnfTransformation,[status(thm)],[f_345]) ).

tff(c_748,plain,
    rstore_tail(queue_47,index_48) = q16,
    inference(demodulation,[status(thm),theory(equality)],[c_654,c_600]) ).

tff(c_3973,plain,
    rselect_tail(q16) = index_48,
    inference(superposition,[status(thm),theory(equality)],[c_748,c_3940]) ).

tff(c_7081,plain,
    rselect_tail(q16) = index_12,
    inference(demodulation,[status(thm),theory(equality)],[c_6805,c_3973]) ).

tff(c_402,plain,
    rselect_tail(q16) = index_51,
    inference(cnfTransformation,[status(thm)],[f_246]) ).

tff(c_7082,plain,
    index_51 = index_12,
    inference(demodulation,[status(thm),theory(equality)],[c_7081,c_402]) ).

tff(c_404,plain,
    s(index_51) = index_54,
    inference(cnfTransformation,[status(thm)],[f_247]) ).

tff(c_7095,plain,
    s(index_12) = index_54,
    inference(demodulation,[status(thm),theory(equality)],[c_7082,c_404]) ).

tff(c_7097,plain,
    index_54 = index_18,
    inference(demodulation,[status(thm),theory(equality)],[c_6813,c_7095]) ).

tff(c_656,plain,
    queue_55 = q17,
    inference(cnfTransformation,[status(thm)],[f_373]) ).

tff(c_606,plain,
    rstore_tail(queue_53,index_54) = queue_55,
    inference(cnfTransformation,[status(thm)],[f_348]) ).

tff(c_747,plain,
    rstore_tail(queue_53,index_54) = q17,
    inference(demodulation,[status(thm),theory(equality)],[c_656,c_606]) ).

tff(c_4060,plain,
    rselect_tail(q17) = index_54,
    inference(superposition,[status(thm),theory(equality)],[c_747,c_3940]) ).

tff(c_406,plain,
    rselect_tail(q17) = index_57,
    inference(cnfTransformation,[status(thm)],[f_248]) ).

tff(c_6113,plain,
    index_57 = index_54,
    inference(demodulation,[status(thm),theory(equality)],[c_4060,c_406]) ).

tff(c_410,plain,
    s(index_57) = index_60,
    inference(cnfTransformation,[status(thm)],[f_250]) ).

tff(c_6156,plain,
    s(index_54) = index_60,
    inference(demodulation,[status(thm),theory(equality)],[c_6113,c_410]) ).

tff(c_7111,plain,
    s(index_18) = index_60,
    inference(demodulation,[status(thm),theory(equality)],[c_7097,c_6156]) ).

tff(c_7117,plain,
    index_60 = index_24,
    inference(demodulation,[status(thm),theory(equality)],[c_4274,c_7111]) ).

tff(c_658,plain,
    queue_61 = q18,
    inference(cnfTransformation,[status(thm)],[f_374]) ).

tff(c_610,plain,
    rstore_tail(queue_59,index_60) = queue_61,
    inference(cnfTransformation,[status(thm)],[f_350]) ).

tff(c_746,plain,
    rstore_tail(queue_59,index_60) = q18,
    inference(demodulation,[status(thm),theory(equality)],[c_658,c_610]) ).

tff(c_3949,plain,
    rselect_tail(q18) = index_60,
    inference(superposition,[status(thm),theory(equality)],[c_746,c_3940]) ).

tff(c_412,plain,
    rselect_tail(q18) = index_63,
    inference(cnfTransformation,[status(thm)],[f_251]) ).

tff(c_4380,plain,
    index_63 = index_60,
    inference(demodulation,[status(thm),theory(equality)],[c_3949,c_412]) ).

tff(c_414,plain,
    s(index_63) = index_66,
    inference(cnfTransformation,[status(thm)],[f_252]) ).

tff(c_4391,plain,
    s(index_60) = index_66,
    inference(demodulation,[status(thm),theory(equality)],[c_4380,c_414]) ).

tff(c_7136,plain,
    s(index_24) = index_66,
    inference(demodulation,[status(thm),theory(equality)],[c_7117,c_4391]) ).

tff(c_7142,plain,
    index_66 = index_12,
    inference(demodulation,[status(thm),theory(equality)],[c_6808,c_7136]) ).

tff(c_660,plain,
    queue_67 = q19,
    inference(cnfTransformation,[status(thm)],[f_375]) ).

tff(c_614,plain,
    rstore_tail(queue_65,index_66) = queue_67,
    inference(cnfTransformation,[status(thm)],[f_352]) ).

tff(c_745,plain,
    rstore_tail(queue_65,index_66) = q19,
    inference(demodulation,[status(thm),theory(equality)],[c_660,c_614]) ).

tff(c_4057,plain,
    rselect_tail(q19) = index_66,
    inference(superposition,[status(thm),theory(equality)],[c_745,c_3940]) ).

tff(c_7847,plain,
    rselect_tail(q19) = index_12,
    inference(demodulation,[status(thm),theory(equality)],[c_7142,c_4057]) ).

tff(c_420,plain,
    rselect_tail(q19) = index_75,
    inference(cnfTransformation,[status(thm)],[f_255]) ).

tff(c_7848,plain,
    index_75 = index_12,
    inference(demodulation,[status(thm),theory(equality)],[c_7847,c_420]) ).

tff(c_422,plain,
    s(index_75) = index_78,
    inference(cnfTransformation,[status(thm)],[f_256]) ).

tff(c_7858,plain,
    s(index_12) = index_78,
    inference(demodulation,[status(thm),theory(equality)],[c_7848,c_422]) ).

tff(c_7860,plain,
    index_78 = index_18,
    inference(demodulation,[status(thm),theory(equality)],[c_6813,c_7858]) ).

tff(c_672,plain,
    queue_103 = q24,
    inference(cnfTransformation,[status(thm)],[f_381]) ).

tff(c_444,plain,
    rstore_tail(queue_101,index_102) = queue_103,
    inference(cnfTransformation,[status(thm)],[f_267]) ).

tff(c_787,plain,
    rstore_tail(queue_101,index_102) = q24,
    inference(demodulation,[status(thm),theory(equality)],[c_672,c_444]) ).

tff(c_3988,plain,
    rselect_tail(q24) = index_102,
    inference(superposition,[status(thm),theory(equality)],[c_787,c_3940]) ).

tff(c_240,plain,
    rselect_tail(q24) = index_105,
    inference(cnfTransformation,[status(thm)],[f_165]) ).

tff(c_6386,plain,
    index_105 = index_102,
    inference(demodulation,[status(thm),theory(equality)],[c_3988,c_240]) ).

tff(c_242,plain,
    s(index_105) = index_108,
    inference(cnfTransformation,[status(thm)],[f_166]) ).

tff(c_2211,plain,
    ! [X_35] : ( p(s(X_35)) = X_35 ),
    inference(cnfTransformation,[status(thm)],[f_51]) ).

tff(c_2250,plain,
    p(index_108) = index_105,
    inference(superposition,[status(thm),theory(equality)],[c_242,c_2211]) ).

tff(c_6392,plain,
    p(index_108) = index_102,
    inference(demodulation,[status(thm),theory(equality)],[c_6386,c_2250]) ).

tff(c_6395,plain,
    s(index_102) = index_108,
    inference(demodulation,[status(thm),theory(equality)],[c_6386,c_242]) ).

tff(c_670,plain,
    queue_97 = q23,
    inference(cnfTransformation,[status(thm)],[f_380]) ).

tff(c_636,plain,
    rstore_tail(queue_95,index_96) = queue_97,
    inference(cnfTransformation,[status(thm)],[f_363]) ).

tff(c_739,plain,
    rstore_tail(queue_95,index_96) = q23,
    inference(demodulation,[status(thm),theory(equality)],[c_670,c_636]) ).

tff(c_4021,plain,
    rselect_tail(q23) = index_96,
    inference(superposition,[status(thm),theory(equality)],[c_739,c_3940]) ).

tff(c_438,plain,
    rselect_tail(q23) = index_99,
    inference(cnfTransformation,[status(thm)],[f_264]) ).

tff(c_4561,plain,
    index_99 = index_96,
    inference(demodulation,[status(thm),theory(equality)],[c_4021,c_438]) ).

tff(c_238,plain,
    s(index_99) = index_102,
    inference(cnfTransformation,[status(thm)],[f_164]) ).

tff(c_4571,plain,
    s(index_96) = index_102,
    inference(demodulation,[status(thm),theory(equality)],[c_4561,c_238]) ).

tff(c_668,plain,
    queue_91 = q22,
    inference(cnfTransformation,[status(thm)],[f_379]) ).

tff(c_632,plain,
    rstore_tail(queue_89,index_90) = queue_91,
    inference(cnfTransformation,[status(thm)],[f_361]) ).

tff(c_740,plain,
    rstore_tail(queue_89,index_90) = q22,
    inference(demodulation,[status(thm),theory(equality)],[c_668,c_632]) ).

tff(c_4000,plain,
    rselect_tail(q22) = index_90,
    inference(superposition,[status(thm),theory(equality)],[c_740,c_3940]) ).

tff(c_434,plain,
    rselect_tail(q22) = index_93,
    inference(cnfTransformation,[status(thm)],[f_262]) ).

tff(c_7537,plain,
    index_93 = index_90,
    inference(demodulation,[status(thm),theory(equality)],[c_4000,c_434]) ).

tff(c_436,plain,
    s(index_93) = index_96,
    inference(cnfTransformation,[status(thm)],[f_263]) ).

tff(c_7546,plain,
    s(index_90) = index_96,
    inference(demodulation,[status(thm),theory(equality)],[c_7537,c_436]) ).

tff(c_7560,plain,
    s(s(index_96)) = index_90,
    inference(superposition,[status(thm),theory(equality)],[c_7546,c_32]) ).

tff(c_7575,plain,
    index_90 = index_108,
    inference(demodulation,[status(thm),theory(equality)],[c_6395,c_4571,c_7560]) ).

tff(c_666,plain,
    queue_85 = q21,
    inference(cnfTransformation,[status(thm)],[f_378]) ).

tff(c_628,plain,
    rstore_tail(queue_83,index_84) = queue_85,
    inference(cnfTransformation,[status(thm)],[f_359]) ).

tff(c_741,plain,
    rstore_tail(queue_83,index_84) = q21,
    inference(demodulation,[status(thm),theory(equality)],[c_666,c_628]) ).

tff(c_3964,plain,
    rselect_tail(q21) = index_84,
    inference(superposition,[status(thm),theory(equality)],[c_741,c_3940]) ).

tff(c_428,plain,
    rselect_tail(q21) = index_87,
    inference(cnfTransformation,[status(thm)],[f_259]) ).

tff(c_4208,plain,
    index_87 = index_84,
    inference(demodulation,[status(thm),theory(equality)],[c_3964,c_428]) ).

tff(c_432,plain,
    s(index_87) = index_90,
    inference(cnfTransformation,[status(thm)],[f_261]) ).

tff(c_2358,plain,
    p(index_90) = index_87,
    inference(superposition,[status(thm),theory(equality)],[c_432,c_2211]) ).

tff(c_4218,plain,
    p(index_90) = index_84,
    inference(demodulation,[status(thm),theory(equality)],[c_4208,c_2358]) ).

tff(c_7601,plain,
    p(index_108) = index_84,
    inference(demodulation,[status(thm),theory(equality)],[c_7575,c_4218]) ).

tff(c_7604,plain,
    index_84 = index_102,
    inference(demodulation,[status(thm),theory(equality)],[c_6392,c_7601]) ).

tff(c_664,plain,
    queue_79 = q20,
    inference(cnfTransformation,[status(thm)],[f_377]) ).

tff(c_624,plain,
    rstore_tail(queue_77,index_78) = queue_79,
    inference(cnfTransformation,[status(thm)],[f_357]) ).

tff(c_742,plain,
    rstore_tail(queue_77,index_78) = q20,
    inference(demodulation,[status(thm),theory(equality)],[c_664,c_624]) ).

tff(c_4015,plain,
    rselect_tail(q20) = index_78,
    inference(superposition,[status(thm),theory(equality)],[c_742,c_3940]) ).

tff(c_424,plain,
    rselect_tail(q20) = index_81,
    inference(cnfTransformation,[status(thm)],[f_257]) ).

tff(c_6581,plain,
    index_81 = index_78,
    inference(demodulation,[status(thm),theory(equality)],[c_4015,c_424]) ).

tff(c_426,plain,
    s(index_81) = index_84,
    inference(cnfTransformation,[status(thm)],[f_258]) ).

tff(c_2349,plain,
    p(index_84) = index_81,
    inference(superposition,[status(thm),theory(equality)],[c_426,c_2211]) ).

tff(c_6588,plain,
    p(index_84) = index_78,
    inference(demodulation,[status(thm),theory(equality)],[c_6581,c_2349]) ).

tff(c_8918,plain,
    p(index_102) = index_18,
    inference(demodulation,[status(thm),theory(equality)],[c_7860,c_7604,c_6588]) ).

tff(c_674,plain,
    queue_109 = q25,
    inference(cnfTransformation,[status(thm)],[f_382]) ).

tff(c_448,plain,
    rstore_tail(queue_107,index_108) = queue_109,
    inference(cnfTransformation,[status(thm)],[f_269]) ).

tff(c_786,plain,
    rstore_tail(queue_107,index_108) = q25,
    inference(demodulation,[status(thm),theory(equality)],[c_674,c_448]) ).

tff(c_3982,plain,
    rselect_tail(q25) = index_108,
    inference(superposition,[status(thm),theory(equality)],[c_786,c_3940]) ).

tff(c_244,plain,
    rselect_tail(q25) = index_111,
    inference(cnfTransformation,[status(thm)],[f_167]) ).

tff(c_7579,plain,
    index_111 = index_108,
    inference(demodulation,[status(thm),theory(equality)],[c_3982,c_244]) ).

tff(c_246,plain,
    s(index_111) = index_114,
    inference(cnfTransformation,[status(thm)],[f_168]) ).

tff(c_7589,plain,
    s(index_108) = index_114,
    inference(demodulation,[status(thm),theory(equality)],[c_7579,c_246]) ).

tff(c_2352,plain,
    p(index_96) = index_93,
    inference(superposition,[status(thm),theory(equality)],[c_436,c_2211]) ).

tff(c_7544,plain,
    p(index_96) = index_90,
    inference(demodulation,[status(thm),theory(equality)],[c_7537,c_2352]) ).

tff(c_8124,plain,
    p(index_96) = index_108,
    inference(demodulation,[status(thm),theory(equality)],[c_7575,c_7544]) ).

tff(c_26,plain,
    ! [X_27] : ( s(p(X_27)) = X_27 ),
    inference(cnfTransformation,[status(thm)],[f_53]) ).

tff(c_8134,plain,
    s(index_108) = index_96,
    inference(superposition,[status(thm),theory(equality)],[c_8124,c_26]) ).

tff(c_8138,plain,
    index_96 = index_114,
    inference(demodulation,[status(thm),theory(equality)],[c_7589,c_8134]) ).

tff(c_24,plain,
    ! [X_26] : ( p(s(X_26)) = X_26 ),
    inference(cnfTransformation,[status(thm)],[f_51]) ).

tff(c_4635,plain,
    p(index_102) = index_96,
    inference(superposition,[status(thm),theory(equality)],[c_4571,c_24]) ).

tff(c_9739,plain,
    index_18 = index_114,
    inference(demodulation,[status(thm),theory(equality)],[c_8918,c_8138,c_4635]) ).

tff(c_6746,plain,
    s(index_15) = index_36,
    inference(demodulation,[status(thm),theory(equality)],[c_6739,c_4864]) ).

tff(c_6753,plain,
    index_36 = index_18,
    inference(demodulation,[status(thm),theory(equality)],[c_294,c_6746]) ).

tff(c_9765,plain,
    index_36 = index_114,
    inference(demodulation,[status(thm),theory(equality)],[c_9739,c_6753]) ).

tff(c_250,plain,
    s(index_9) = index_12,
    inference(cnfTransformation,[status(thm)],[f_170]) ).

tff(c_2334,plain,
    p(index_12) = index_9,
    inference(superposition,[status(thm),theory(equality)],[c_250,c_2211]) ).

tff(c_6807,plain,
    index_30 = index_12,
    inference(demodulation,[status(thm),theory(equality)],[c_6800,c_6739]) ).

tff(c_2340,plain,
    p(index_30) = index_27,
    inference(superposition,[status(thm),theory(equality)],[c_386,c_2211]) ).

tff(c_6736,plain,
    p(index_30) = index_24,
    inference(demodulation,[status(thm),theory(equality)],[c_6728,c_2340]) ).

tff(c_7011,plain,
    index_9 = index_24,
    inference(demodulation,[status(thm),theory(equality)],[c_2334,c_6807,c_6736]) ).

tff(c_7014,plain,
    p(index_12) = index_24,
    inference(demodulation,[status(thm),theory(equality)],[c_7011,c_2334]) ).

tff(c_2235,plain,
    p(index_18) = index_15,
    inference(superposition,[status(thm),theory(equality)],[c_294,c_2211]) ).

tff(c_6811,plain,
    p(index_18) = index_12,
    inference(demodulation,[status(thm),theory(equality)],[c_6800,c_2235]) ).

tff(c_6758,plain,
    s(index_18) = index_42,
    inference(demodulation,[status(thm),theory(equality)],[c_6753,c_4255]) ).

tff(c_6764,plain,
    index_42 = index_24,
    inference(demodulation,[status(thm),theory(equality)],[c_4274,c_6758]) ).

tff(c_2298,plain,
    p(index_42) = index_39,
    inference(superposition,[status(thm),theory(equality)],[c_396,c_2211]) ).

tff(c_4252,plain,
    p(index_42) = index_36,
    inference(demodulation,[status(thm),theory(equality)],[c_4245,c_2298]) ).

tff(c_6759,plain,
    p(index_42) = index_18,
    inference(demodulation,[status(thm),theory(equality)],[c_6753,c_4252]) ).

tff(c_6973,plain,
    p(index_24) = index_18,
    inference(demodulation,[status(thm),theory(equality)],[c_6764,c_6759]) ).

tff(c_430,plain,
    rselect_tail(q9) = index_9,
    inference(cnfTransformation,[status(thm)],[f_260]) ).

tff(c_7017,plain,
    rselect_tail(q9) = index_24,
    inference(demodulation,[status(thm),theory(equality)],[c_7011,c_430]) ).

tff(c_730,plain,
    queue_277 = q6,
    inference(cnfTransformation,[status(thm)],[f_410]) ).

tff(c_572,plain,
    rstore_tail(queue_275,index_276) = queue_277,
    inference(cnfTransformation,[status(thm)],[f_331]) ).

tff(c_755,plain,
    rstore_tail(queue_275,index_276) = q6,
    inference(demodulation,[status(thm),theory(equality)],[c_730,c_572]) ).

tff(c_4075,plain,
    rselect_tail(q6) = index_276,
    inference(superposition,[status(thm),theory(equality)],[c_755,c_3940]) ).

tff(c_368,plain,
    rselect_tail(q6) = index_279,
    inference(cnfTransformation,[status(thm)],[f_229]) ).

tff(c_4485,plain,
    index_279 = index_276,
    inference(demodulation,[status(thm),theory(equality)],[c_4075,c_368]) ).

tff(c_370,plain,
    s(index_279) = index_282,
    inference(cnfTransformation,[status(thm)],[f_230]) ).

tff(c_2313,plain,
    p(index_282) = index_279,
    inference(superposition,[status(thm),theory(equality)],[c_370,c_2211]) ).

tff(c_4497,plain,
    p(index_282) = index_276,
    inference(demodulation,[status(thm),theory(equality)],[c_4485,c_2313]) ).

tff(c_732,plain,
    queue_283 = q7,
    inference(cnfTransformation,[status(thm)],[f_411]) ).

tff(c_576,plain,
    rstore_tail(queue_281,index_282) = queue_283,
    inference(cnfTransformation,[status(thm)],[f_333]) ).

tff(c_754,plain,
    rstore_tail(queue_281,index_282) = q7,
    inference(demodulation,[status(thm),theory(equality)],[c_732,c_576]) ).

tff(c_4090,plain,
    rselect_tail(q7) = index_282,
    inference(superposition,[status(thm),theory(equality)],[c_754,c_3940]) ).

tff(c_372,plain,
    rselect_tail(q7) = index_285,
    inference(cnfTransformation,[status(thm)],[f_231]) ).

tff(c_6512,plain,
    index_285 = index_282,
    inference(demodulation,[status(thm),theory(equality)],[c_4090,c_372]) ).

tff(c_734,plain,
    queue_289 = q8,
    inference(cnfTransformation,[status(thm)],[f_412]) ).

tff(c_580,plain,
    rstore_tail(queue_287,index_288) = queue_289,
    inference(cnfTransformation,[status(thm)],[f_335]) ).

tff(c_753,plain,
    rstore_tail(queue_287,index_288) = q8,
    inference(demodulation,[status(thm),theory(equality)],[c_734,c_580]) ).

tff(c_4069,plain,
    rselect_tail(q8) = index_288,
    inference(superposition,[status(thm),theory(equality)],[c_753,c_3940]) ).

tff(c_376,plain,
    rselect_tail(q8) = index_291,
    inference(cnfTransformation,[status(thm)],[f_233]) ).

tff(c_4834,plain,
    index_291 = index_288,
    inference(demodulation,[status(thm),theory(equality)],[c_4069,c_376]) ).

tff(c_378,plain,
    s(index_291) = index_294,
    inference(cnfTransformation,[status(thm)],[f_234]) ).

tff(c_4844,plain,
    s(index_288) = index_294,
    inference(demodulation,[status(thm),theory(equality)],[c_4834,c_378]) ).

tff(c_374,plain,
    s(index_285) = index_288,
    inference(cnfTransformation,[status(thm)],[f_232]) ).

tff(c_3441,plain,
    s(s(index_288)) = index_285,
    inference(superposition,[status(thm),theory(equality)],[c_374,c_3399]) ).

tff(c_4927,plain,
    s(index_294) = index_285,
    inference(demodulation,[status(thm),theory(equality)],[c_4844,c_3441]) ).

tff(c_6618,plain,
    s(index_294) = index_282,
    inference(demodulation,[status(thm),theory(equality)],[c_6512,c_4927]) ).

tff(c_6629,plain,
    p(index_282) = index_294,
    inference(superposition,[status(thm),theory(equality)],[c_6618,c_24]) ).

tff(c_6639,plain,
    index_294 = index_276,
    inference(demodulation,[status(thm),theory(equality)],[c_4497,c_6629]) ).

tff(c_736,plain,
    queue_295 = q9,
    inference(cnfTransformation,[status(thm)],[f_413]) ).

tff(c_586,plain,
    rstore_tail(queue_293,index_294) = queue_295,
    inference(cnfTransformation,[status(thm)],[f_338]) ).

tff(c_752,plain,
    rstore_tail(queue_293,index_294) = q9,
    inference(demodulation,[status(thm),theory(equality)],[c_736,c_586]) ).

tff(c_3985,plain,
    rselect_tail(q9) = index_294,
    inference(superposition,[status(thm),theory(equality)],[c_752,c_3940]) ).

tff(c_7886,plain,
    index_276 = index_24,
    inference(demodulation,[status(thm),theory(equality)],[c_7017,c_6639,c_3985]) ).

tff(c_728,plain,
    queue_271 = q5,
    inference(cnfTransformation,[status(thm)],[f_409]) ).

tff(c_568,plain,
    rstore_tail(queue_269,index_270) = queue_271,
    inference(cnfTransformation,[status(thm)],[f_329]) ).

tff(c_756,plain,
    rstore_tail(queue_269,index_270) = q5,
    inference(demodulation,[status(thm),theory(equality)],[c_728,c_568]) ).

tff(c_4087,plain,
    rselect_tail(q5) = index_270,
    inference(superposition,[status(thm),theory(equality)],[c_756,c_3940]) ).

tff(c_364,plain,
    rselect_tail(q5) = index_273,
    inference(cnfTransformation,[status(thm)],[f_227]) ).

tff(c_4814,plain,
    index_273 = index_270,
    inference(demodulation,[status(thm),theory(equality)],[c_4087,c_364]) ).

tff(c_366,plain,
    s(index_273) = index_276,
    inference(cnfTransformation,[status(thm)],[f_228]) ).

tff(c_2259,plain,
    p(index_276) = index_273,
    inference(superposition,[status(thm),theory(equality)],[c_366,c_2211]) ).

tff(c_4822,plain,
    p(index_276) = index_270,
    inference(demodulation,[status(thm),theory(equality)],[c_4814,c_2259]) ).

tff(c_7889,plain,
    p(index_24) = index_270,
    inference(demodulation,[status(thm),theory(equality)],[c_7886,c_4822]) ).

tff(c_7901,plain,
    index_270 = index_18,
    inference(demodulation,[status(thm),theory(equality)],[c_6973,c_7889]) ).

tff(c_706,plain,
    queue_205 = q4,
    inference(cnfTransformation,[status(thm)],[f_398]) ).

tff(c_520,plain,
    rstore_tail(queue_203,index_204) = queue_205,
    inference(cnfTransformation,[status(thm)],[f_305]) ).

tff(c_768,plain,
    rstore_tail(queue_203,index_204) = q4,
    inference(demodulation,[status(thm),theory(equality)],[c_706,c_520]) ).

tff(c_4078,plain,
    rselect_tail(q4) = index_204,
    inference(superposition,[status(thm),theory(equality)],[c_768,c_3940]) ).

tff(c_358,plain,
    rselect_tail(q4) = index_267,
    inference(cnfTransformation,[status(thm)],[f_224]) ).

tff(c_6281,plain,
    index_267 = index_204,
    inference(demodulation,[status(thm),theory(equality)],[c_4078,c_358]) ).

tff(c_362,plain,
    s(index_267) = index_270,
    inference(cnfTransformation,[status(thm)],[f_226]) ).

tff(c_2301,plain,
    p(index_270) = index_267,
    inference(superposition,[status(thm),theory(equality)],[c_362,c_2211]) ).

tff(c_6289,plain,
    p(index_270) = index_204,
    inference(demodulation,[status(thm),theory(equality)],[c_6281,c_2301]) ).

tff(c_7908,plain,
    p(index_18) = index_204,
    inference(demodulation,[status(thm),theory(equality)],[c_7901,c_6289]) ).

tff(c_7915,plain,
    index_204 = index_12,
    inference(demodulation,[status(thm),theory(equality)],[c_6811,c_7908]) ).

tff(c_236,plain,
    rselect_tail(q) = index_0,
    inference(cnfTransformation,[status(thm)],[f_163]) ).

tff(c_384,plain,
    rselect_tail(q0) = index_3,
    inference(cnfTransformation,[status(thm)],[f_237]) ).

tff(c_638,plain,
    queue_1 = q0,
    inference(cnfTransformation,[status(thm)],[f_364]) ).

tff(c_440,plain,
    rstore_head(q,index_0) = queue_1,
    inference(cnfTransformation,[status(thm)],[f_265]) ).

tff(c_788,plain,
    rstore_head(q,index_0) = q0,
    inference(demodulation,[status(thm),theory(equality)],[c_638,c_440]) ).

tff(c_5876,plain,
    ! [A_55,E_56] : ( rselect_tail(rstore_head(A_55,E_56)) = rselect_tail(A_55) ),
    inference(cnfTransformation,[status(thm)],[f_49]) ).

tff(c_5885,plain,
    rselect_tail(q0) = rselect_tail(q),
    inference(superposition,[status(thm),theory(equality)],[c_788,c_5876]) ).

tff(c_5888,plain,
    index_3 = index_0,
    inference(demodulation,[status(thm),theory(equality)],[c_236,c_384,c_5885]) ).

tff(c_408,plain,
    s(index_3) = index_6,
    inference(cnfTransformation,[status(thm)],[f_249]) ).

tff(c_6007,plain,
    s(index_0) = index_6,
    inference(demodulation,[status(thm),theory(equality)],[c_5888,c_408]) ).

tff(c_264,plain,
    s(index_135) = index_138,
    inference(cnfTransformation,[status(thm)],[f_177]) ).

tff(c_640,plain,
    queue_7 = q1,
    inference(cnfTransformation,[status(thm)],[f_365]) ).

tff(c_616,plain,
    rstore_tail(queue_5,index_6) = queue_7,
    inference(cnfTransformation,[status(thm)],[f_353]) ).

tff(c_744,plain,
    rstore_tail(queue_5,index_6) = q1,
    inference(demodulation,[status(thm),theory(equality)],[c_640,c_616]) ).

tff(c_4084,plain,
    rselect_tail(q1) = index_6,
    inference(superposition,[status(thm),theory(equality)],[c_744,c_3940]) ).

tff(c_416,plain,
    rselect_tail(q1) = index_69,
    inference(cnfTransformation,[status(thm)],[f_253]) ).

tff(c_4794,plain,
    index_69 = index_6,
    inference(demodulation,[status(thm),theory(equality)],[c_4084,c_416]) ).

tff(c_262,plain,
    rselect_tail(q2) = index_135,
    inference(cnfTransformation,[status(thm)],[f_176]) ).

tff(c_662,plain,
    queue_73 = q2,
    inference(cnfTransformation,[status(thm)],[f_376]) ).

tff(c_620,plain,
    rstore_tail(queue_71,index_72) = queue_73,
    inference(cnfTransformation,[status(thm)],[f_355]) ).

tff(c_743,plain,
    rstore_tail(queue_71,index_72) = q2,
    inference(demodulation,[status(thm),theory(equality)],[c_662,c_620]) ).

tff(c_4054,plain,
    rselect_tail(q2) = index_72,
    inference(superposition,[status(thm),theory(equality)],[c_743,c_3940]) ).

tff(c_4096,plain,
    index_72 = index_135,
    inference(demodulation,[status(thm),theory(equality)],[c_262,c_4054]) ).

tff(c_418,plain,
    s(index_69) = index_72,
    inference(cnfTransformation,[status(thm)],[f_254]) ).

tff(c_4102,plain,
    s(index_69) = index_135,
    inference(demodulation,[status(thm),theory(equality)],[c_4096,c_418]) ).

tff(c_7401,plain,
    s(index_6) = index_135,
    inference(demodulation,[status(thm),theory(equality)],[c_4794,c_4102]) ).

tff(c_7928,plain,
    s(s(index_6)) = index_0,
    inference(superposition,[status(thm),theory(equality)],[c_6007,c_32]) ).

tff(c_7943,plain,
    index_138 = index_0,
    inference(demodulation,[status(thm),theory(equality)],[c_264,c_7401,c_7928]) ).

tff(c_684,plain,
    queue_139 = q3,
    inference(cnfTransformation,[status(thm)],[f_387]) ).

tff(c_472,plain,
    rstore_tail(queue_137,index_138) = queue_139,
    inference(cnfTransformation,[status(thm)],[f_281]) ).

tff(c_780,plain,
    rstore_tail(queue_137,index_138) = q3,
    inference(demodulation,[status(thm),theory(equality)],[c_684,c_472]) ).

tff(c_4093,plain,
    rselect_tail(q3) = index_138,
    inference(superposition,[status(thm),theory(equality)],[c_780,c_3940]) ).

tff(c_310,plain,
    rselect_tail(q3) = index_201,
    inference(cnfTransformation,[status(thm)],[f_200]) ).

tff(c_5049,plain,
    index_201 = index_138,
    inference(demodulation,[status(thm),theory(equality)],[c_4093,c_310]) ).

tff(c_312,plain,
    s(index_201) = index_204,
    inference(cnfTransformation,[status(thm)],[f_201]) ).

tff(c_5059,plain,
    s(index_138) = index_204,
    inference(demodulation,[status(thm),theory(equality)],[c_5049,c_312]) ).

tff(c_8610,plain,
    index_6 = index_12,
    inference(demodulation,[status(thm),theory(equality)],[c_7915,c_6007,c_7943,c_5059]) ).

tff(c_2373,plain,
    p(index_6) = index_3,
    inference(superposition,[status(thm),theory(equality)],[c_408,c_2211]) ).

tff(c_6003,plain,
    p(index_6) = index_0,
    inference(demodulation,[status(thm),theory(equality)],[c_5888,c_2373]) ).

tff(c_8786,plain,
    index_24 = index_0,
    inference(demodulation,[status(thm),theory(equality)],[c_7014,c_8610,c_6003]) ).

tff(c_8802,plain,
    index_42 = index_0,
    inference(demodulation,[status(thm),theory(equality)],[c_8786,c_6764]) ).

tff(c_4331,plain,
    s(index_36) = index_42,
    inference(superposition,[status(thm),theory(equality)],[c_4252,c_26]) ).

tff(c_9871,plain,
    s(index_114) = index_0,
    inference(demodulation,[status(thm),theory(equality)],[c_9765,c_8802,c_4331]) ).

tff(c_2331,plain,
    p(index_114) = index_111,
    inference(superposition,[status(thm),theory(equality)],[c_246,c_2211]) ).

tff(c_7586,plain,
    p(index_114) = index_108,
    inference(demodulation,[status(thm),theory(equality)],[c_7579,c_2331]) ).

tff(c_676,plain,
    queue_115 = q26,
    inference(cnfTransformation,[status(thm)],[f_383]) ).

tff(c_454,plain,
    rstore_tail(queue_113,index_114) = queue_115,
    inference(cnfTransformation,[status(thm)],[f_272]) ).

tff(c_785,plain,
    rstore_tail(queue_113,index_114) = q26,
    inference(demodulation,[status(thm),theory(equality)],[c_676,c_454]) ).

tff(c_3994,plain,
    rselect_tail(q26) = index_114,
    inference(superposition,[status(thm),theory(equality)],[c_785,c_3940]) ).

tff(c_248,plain,
    rselect_tail(q26) = index_117,
    inference(cnfTransformation,[status(thm)],[f_169]) ).

tff(c_4874,plain,
    index_117 = index_114,
    inference(demodulation,[status(thm),theory(equality)],[c_3994,c_248]) ).

tff(c_252,plain,
    s(index_117) = index_120,
    inference(cnfTransformation,[status(thm)],[f_171]) ).

tff(c_2346,plain,
    p(index_120) = index_117,
    inference(superposition,[status(thm),theory(equality)],[c_252,c_2211]) ).

tff(c_4882,plain,
    p(index_120) = index_114,
    inference(demodulation,[status(thm),theory(equality)],[c_4874,c_2346]) ).

tff(c_678,plain,
    queue_121 = q27,
    inference(cnfTransformation,[status(thm)],[f_384]) ).

tff(c_458,plain,
    rstore_tail(queue_119,index_120) = queue_121,
    inference(cnfTransformation,[status(thm)],[f_274]) ).

tff(c_784,plain,
    rstore_tail(queue_119,index_120) = q27,
    inference(demodulation,[status(thm),theory(equality)],[c_678,c_458]) ).

tff(c_4066,plain,
    rselect_tail(q27) = index_120,
    inference(superposition,[status(thm),theory(equality)],[c_784,c_3940]) ).

tff(c_254,plain,
    rselect_tail(q27) = index_123,
    inference(cnfTransformation,[status(thm)],[f_172]) ).

tff(c_4112,plain,
    index_123 = index_120,
    inference(demodulation,[status(thm),theory(equality)],[c_4066,c_254]) ).

tff(c_256,plain,
    s(index_123) = index_126,
    inference(cnfTransformation,[status(thm)],[f_173]) ).

tff(c_2265,plain,
    p(index_126) = index_123,
    inference(superposition,[status(thm),theory(equality)],[c_256,c_2211]) ).

tff(c_4118,plain,
    p(index_126) = index_120,
    inference(demodulation,[status(thm),theory(equality)],[c_4112,c_2265]) ).

tff(c_4121,plain,
    s(index_120) = index_126,
    inference(demodulation,[status(thm),theory(equality)],[c_4112,c_256]) ).

tff(c_680,plain,
    queue_127 = q28,
    inference(cnfTransformation,[status(thm)],[f_385]) ).

tff(c_462,plain,
    rstore_tail(queue_125,index_126) = queue_127,
    inference(cnfTransformation,[status(thm)],[f_276]) ).

tff(c_783,plain,
    rstore_tail(queue_125,index_126) = q28,
    inference(demodulation,[status(thm),theory(equality)],[c_680,c_462]) ).

tff(c_3955,plain,
    rselect_tail(q28) = index_126,
    inference(superposition,[status(thm),theory(equality)],[c_783,c_3940]) ).

tff(c_258,plain,
    rselect_tail(q28) = index_129,
    inference(cnfTransformation,[status(thm)],[f_174]) ).

tff(c_7669,plain,
    index_129 = index_126,
    inference(demodulation,[status(thm),theory(equality)],[c_3955,c_258]) ).

tff(c_260,plain,
    s(index_129) = index_132,
    inference(cnfTransformation,[status(thm)],[f_175]) ).

tff(c_2319,plain,
    p(index_132) = index_129,
    inference(superposition,[status(thm),theory(equality)],[c_260,c_2211]) ).

tff(c_688,plain,
    queue_151 = q31,
    inference(cnfTransformation,[status(thm)],[f_389]) ).

tff(c_480,plain,
    rstore_tail(queue_149,index_150) = queue_151,
    inference(cnfTransformation,[status(thm)],[f_285]) ).

tff(c_778,plain,
    rstore_tail(queue_149,index_150) = q31,
    inference(demodulation,[status(thm),theory(equality)],[c_688,c_480]) ).

tff(c_4081,plain,
    rselect_tail(q31) = index_150,
    inference(superposition,[status(thm),theory(equality)],[c_778,c_3940]) ).

tff(c_276,plain,
    rselect_tail(q31) = index_153,
    inference(cnfTransformation,[status(thm)],[f_183]) ).

tff(c_4426,plain,
    index_153 = index_150,
    inference(demodulation,[status(thm),theory(equality)],[c_4081,c_276]) ).

tff(c_278,plain,
    s(index_153) = index_156,
    inference(cnfTransformation,[status(thm)],[f_184]) ).

tff(c_4439,plain,
    s(index_150) = index_156,
    inference(demodulation,[status(thm),theory(equality)],[c_4426,c_278]) ).

tff(c_686,plain,
    queue_145 = q30,
    inference(cnfTransformation,[status(thm)],[f_388]) ).

tff(c_476,plain,
    rstore_tail(queue_143,index_144) = queue_145,
    inference(cnfTransformation,[status(thm)],[f_283]) ).

tff(c_779,plain,
    rstore_tail(queue_143,index_144) = q30,
    inference(demodulation,[status(thm),theory(equality)],[c_686,c_476]) ).

tff(c_4048,plain,
    rselect_tail(q30) = index_144,
    inference(superposition,[status(thm),theory(equality)],[c_779,c_3940]) ).

tff(c_270,plain,
    rselect_tail(q30) = index_147,
    inference(cnfTransformation,[status(thm)],[f_180]) ).

tff(c_4336,plain,
    index_147 = index_144,
    inference(demodulation,[status(thm),theory(equality)],[c_4048,c_270]) ).

tff(c_274,plain,
    s(index_147) = index_150,
    inference(cnfTransformation,[status(thm)],[f_182]) ).

tff(c_4345,plain,
    s(index_144) = index_150,
    inference(demodulation,[status(thm),theory(equality)],[c_4336,c_274]) ).

tff(c_682,plain,
    queue_133 = q29,
    inference(cnfTransformation,[status(thm)],[f_386]) ).

tff(c_468,plain,
    rstore_tail(queue_131,index_132) = queue_133,
    inference(cnfTransformation,[status(thm)],[f_279]) ).

tff(c_781,plain,
    rstore_tail(queue_131,index_132) = q29,
    inference(demodulation,[status(thm),theory(equality)],[c_682,c_468]) ).

tff(c_4024,plain,
    rselect_tail(q29) = index_132,
    inference(superposition,[status(thm),theory(equality)],[c_781,c_3940]) ).

tff(c_266,plain,
    rselect_tail(q29) = index_141,
    inference(cnfTransformation,[status(thm)],[f_178]) ).

tff(c_6470,plain,
    index_141 = index_132,
    inference(demodulation,[status(thm),theory(equality)],[c_4024,c_266]) ).

tff(c_268,plain,
    s(index_141) = index_144,
    inference(cnfTransformation,[status(thm)],[f_179]) ).

tff(c_6479,plain,
    s(index_132) = index_144,
    inference(demodulation,[status(thm),theory(equality)],[c_6470,c_268]) ).

tff(c_6493,plain,
    s(s(index_144)) = index_132,
    inference(superposition,[status(thm),theory(equality)],[c_6479,c_32]) ).

tff(c_6508,plain,
    index_156 = index_132,
    inference(demodulation,[status(thm),theory(equality)],[c_4439,c_4345,c_6493]) ).

tff(c_2277,plain,
    p(index_156) = index_153,
    inference(superposition,[status(thm),theory(equality)],[c_278,c_2211]) ).

tff(c_4436,plain,
    p(index_156) = index_150,
    inference(demodulation,[status(thm),theory(equality)],[c_4426,c_2277]) ).

tff(c_6528,plain,
    p(index_132) = index_150,
    inference(demodulation,[status(thm),theory(equality)],[c_6508,c_4436]) ).

tff(c_6532,plain,
    index_150 = index_129,
    inference(demodulation,[status(thm),theory(equality)],[c_2319,c_6528]) ).

tff(c_2244,plain,
    p(index_150) = index_147,
    inference(superposition,[status(thm),theory(equality)],[c_274,c_2211]) ).

tff(c_4342,plain,
    p(index_150) = index_144,
    inference(demodulation,[status(thm),theory(equality)],[c_4336,c_2244]) ).

tff(c_7243,plain,
    p(index_129) = index_144,
    inference(demodulation,[status(thm),theory(equality)],[c_6532,c_4342]) ).

tff(c_7674,plain,
    p(index_126) = index_144,
    inference(demodulation,[status(thm),theory(equality)],[c_7669,c_7243]) ).

tff(c_7681,plain,
    index_144 = index_120,
    inference(demodulation,[status(thm),theory(equality)],[c_4118,c_7674]) ).

tff(c_690,plain,
    queue_157 = q32,
    inference(cnfTransformation,[status(thm)],[f_390]) ).

tff(c_484,plain,
    rstore_tail(queue_155,index_156) = queue_157,
    inference(cnfTransformation,[status(thm)],[f_287]) ).

tff(c_777,plain,
    rstore_tail(queue_155,index_156) = q32,
    inference(demodulation,[status(thm),theory(equality)],[c_690,c_484]) ).

tff(c_4036,plain,
    rselect_tail(q32) = index_156,
    inference(superposition,[status(thm),theory(equality)],[c_777,c_3940]) ).

tff(c_7102,plain,
    rselect_tail(q32) = index_132,
    inference(demodulation,[status(thm),theory(equality)],[c_6508,c_4036]) ).

tff(c_280,plain,
    rselect_tail(q32) = index_159,
    inference(cnfTransformation,[status(thm)],[f_185]) ).

tff(c_7103,plain,
    index_159 = index_132,
    inference(demodulation,[status(thm),theory(equality)],[c_7102,c_280]) ).

tff(c_282,plain,
    s(index_159) = index_162,
    inference(cnfTransformation,[status(thm)],[f_186]) ).

tff(c_7127,plain,
    s(index_132) = index_162,
    inference(demodulation,[status(thm),theory(equality)],[c_7103,c_282]) ).

tff(c_7129,plain,
    index_162 = index_144,
    inference(demodulation,[status(thm),theory(equality)],[c_6479,c_7127]) ).

tff(c_692,plain,
    queue_163 = q33,
    inference(cnfTransformation,[status(thm)],[f_391]) ).

tff(c_488,plain,
    rstore_tail(queue_161,index_162) = queue_163,
    inference(cnfTransformation,[status(thm)],[f_289]) ).

tff(c_776,plain,
    rstore_tail(queue_161,index_162) = q33,
    inference(demodulation,[status(thm),theory(equality)],[c_692,c_488]) ).

tff(c_4033,plain,
    rselect_tail(q33) = index_162,
    inference(superposition,[status(thm),theory(equality)],[c_776,c_3940]) ).

tff(c_284,plain,
    rselect_tail(q33) = index_165,
    inference(cnfTransformation,[status(thm)],[f_187]) ).

tff(c_6423,plain,
    index_165 = index_162,
    inference(demodulation,[status(thm),theory(equality)],[c_4033,c_284]) ).

tff(c_286,plain,
    s(index_165) = index_168,
    inference(cnfTransformation,[status(thm)],[f_188]) ).

tff(c_6432,plain,
    s(index_162) = index_168,
    inference(demodulation,[status(thm),theory(equality)],[c_6423,c_286]) ).

tff(c_7160,plain,
    s(index_144) = index_168,
    inference(demodulation,[status(thm),theory(equality)],[c_7129,c_6432]) ).

tff(c_9294,plain,
    index_168 = index_126,
    inference(demodulation,[status(thm),theory(equality)],[c_4121,c_7681,c_7160]) ).

tff(c_694,plain,
    queue_169 = q34,
    inference(cnfTransformation,[status(thm)],[f_392]) ).

tff(c_492,plain,
    rstore_tail(queue_167,index_168) = queue_169,
    inference(cnfTransformation,[status(thm)],[f_291]) ).

tff(c_775,plain,
    rstore_tail(queue_167,index_168) = q34,
    inference(demodulation,[status(thm),theory(equality)],[c_694,c_492]) ).

tff(c_4030,plain,
    rselect_tail(q34) = index_168,
    inference(superposition,[status(thm),theory(equality)],[c_775,c_3940]) ).

tff(c_288,plain,
    rselect_tail(q34) = index_171,
    inference(cnfTransformation,[status(thm)],[f_189]) ).

tff(c_7960,plain,
    index_171 = index_168,
    inference(demodulation,[status(thm),theory(equality)],[c_4030,c_288]) ).

tff(c_290,plain,
    s(index_171) = index_174,
    inference(cnfTransformation,[status(thm)],[f_190]) ).

tff(c_2229,plain,
    p(index_174) = index_171,
    inference(superposition,[status(thm),theory(equality)],[c_290,c_2211]) ).

tff(c_7968,plain,
    p(index_174) = index_168,
    inference(demodulation,[status(thm),theory(equality)],[c_7960,c_2229]) ).

tff(c_698,plain,
    queue_181 = q36,
    inference(cnfTransformation,[status(thm)],[f_394]) ).

tff(c_502,plain,
    rstore_tail(queue_179,index_180) = queue_181,
    inference(cnfTransformation,[status(thm)],[f_296]) ).

tff(c_773,plain,
    rstore_tail(queue_179,index_180) = q36,
    inference(demodulation,[status(thm),theory(equality)],[c_698,c_502]) ).

tff(c_4042,plain,
    rselect_tail(q36) = index_180,
    inference(superposition,[status(thm),theory(equality)],[c_773,c_3940]) ).

tff(c_298,plain,
    rselect_tail(q36) = index_183,
    inference(cnfTransformation,[status(thm)],[f_194]) ).

tff(c_8313,plain,
    index_183 = index_180,
    inference(demodulation,[status(thm),theory(equality)],[c_4042,c_298]) ).

tff(c_300,plain,
    s(index_183) = index_186,
    inference(cnfTransformation,[status(thm)],[f_195]) ).

tff(c_8323,plain,
    s(index_180) = index_186,
    inference(demodulation,[status(thm),theory(equality)],[c_8313,c_300]) ).

tff(c_702,plain,
    queue_193 = q38,
    inference(cnfTransformation,[status(thm)],[f_396]) ).

tff(c_512,plain,
    rstore_tail(queue_191,index_192) = queue_193,
    inference(cnfTransformation,[status(thm)],[f_301]) ).

tff(c_770,plain,
    rstore_tail(queue_191,index_192) = q38,
    inference(demodulation,[status(thm),theory(equality)],[c_702,c_512]) ).

tff(c_3961,plain,
    rselect_tail(q38) = index_192,
    inference(superposition,[status(thm),theory(equality)],[c_770,c_3940]) ).

tff(c_306,plain,
    rselect_tail(q38) = index_195,
    inference(cnfTransformation,[status(thm)],[f_198]) ).

tff(c_4152,plain,
    index_195 = index_192,
    inference(demodulation,[status(thm),theory(equality)],[c_3961,c_306]) ).

tff(c_308,plain,
    s(index_195) = index_198,
    inference(cnfTransformation,[status(thm)],[f_199]) ).

tff(c_4162,plain,
    s(index_192) = index_198,
    inference(demodulation,[status(thm),theory(equality)],[c_4152,c_308]) ).

tff(c_700,plain,
    queue_187 = q37,
    inference(cnfTransformation,[status(thm)],[f_395]) ).

tff(c_506,plain,
    rstore_tail(queue_185,index_186) = queue_187,
    inference(cnfTransformation,[status(thm)],[f_298]) ).

tff(c_772,plain,
    rstore_tail(queue_185,index_186) = q37,
    inference(demodulation,[status(thm),theory(equality)],[c_700,c_506]) ).

tff(c_4039,plain,
    rselect_tail(q37) = index_186,
    inference(superposition,[status(thm),theory(equality)],[c_772,c_3940]) ).

tff(c_302,plain,
    rselect_tail(q37) = index_189,
    inference(cnfTransformation,[status(thm)],[f_196]) ).

tff(c_6329,plain,
    index_189 = index_186,
    inference(demodulation,[status(thm),theory(equality)],[c_4039,c_302]) ).

tff(c_304,plain,
    s(index_189) = index_192,
    inference(cnfTransformation,[status(thm)],[f_197]) ).

tff(c_6338,plain,
    s(index_186) = index_192,
    inference(demodulation,[status(thm),theory(equality)],[c_6329,c_304]) ).

tff(c_8370,plain,
    s(s(index_186)) = index_180,
    inference(superposition,[status(thm),theory(equality)],[c_8323,c_32]) ).

tff(c_8385,plain,
    index_198 = index_180,
    inference(demodulation,[status(thm),theory(equality)],[c_4162,c_6338,c_8370]) ).

tff(c_704,plain,
    queue_199 = q39,
    inference(cnfTransformation,[status(thm)],[f_397]) ).

tff(c_516,plain,
    rstore_tail(queue_197,index_198) = queue_199,
    inference(cnfTransformation,[status(thm)],[f_303]) ).

tff(c_769,plain,
    rstore_tail(queue_197,index_198) = q39,
    inference(demodulation,[status(thm),theory(equality)],[c_704,c_516]) ).

tff(c_4045,plain,
    rselect_tail(q39) = index_198,
    inference(superposition,[status(thm),theory(equality)],[c_769,c_3940]) ).

tff(c_8529,plain,
    rselect_tail(q39) = index_180,
    inference(demodulation,[status(thm),theory(equality)],[c_8385,c_4045]) ).

tff(c_314,plain,
    rselect_tail(q39) = index_207,
    inference(cnfTransformation,[status(thm)],[f_202]) ).

tff(c_8530,plain,
    index_207 = index_180,
    inference(demodulation,[status(thm),theory(equality)],[c_8529,c_314]) ).

tff(c_318,plain,
    s(index_207) = index_210,
    inference(cnfTransformation,[status(thm)],[f_204]) ).

tff(c_8542,plain,
    s(index_180) = index_210,
    inference(demodulation,[status(thm),theory(equality)],[c_8530,c_318]) ).

tff(c_8544,plain,
    index_210 = index_186,
    inference(demodulation,[status(thm),theory(equality)],[c_8323,c_8542]) ).

tff(c_696,plain,
    queue_175 = q35,
    inference(cnfTransformation,[status(thm)],[f_393]) ).

tff(c_498,plain,
    rstore_tail(queue_173,index_174) = queue_175,
    inference(cnfTransformation,[status(thm)],[f_294]) ).

tff(c_774,plain,
    rstore_tail(queue_173,index_174) = q35,
    inference(demodulation,[status(thm),theory(equality)],[c_696,c_498]) ).

tff(c_3979,plain,
    rselect_tail(q35) = index_174,
    inference(superposition,[status(thm),theory(equality)],[c_774,c_3940]) ).

tff(c_292,plain,
    rselect_tail(q35) = index_177,
    inference(cnfTransformation,[status(thm)],[f_191]) ).

tff(c_7271,plain,
    index_177 = index_174,
    inference(demodulation,[status(thm),theory(equality)],[c_3979,c_292]) ).

tff(c_296,plain,
    s(index_177) = index_180,
    inference(cnfTransformation,[status(thm)],[f_193]) ).

tff(c_2247,plain,
    p(index_180) = index_177,
    inference(superposition,[status(thm),theory(equality)],[c_296,c_2211]) ).

tff(c_7278,plain,
    p(index_180) = index_174,
    inference(demodulation,[status(thm),theory(equality)],[c_7271,c_2247]) ).

tff(c_2274,plain,
    p(index_210) = index_207,
    inference(superposition,[status(thm),theory(equality)],[c_318,c_2211]) ).

tff(c_708,plain,
    queue_211 = q40,
    inference(cnfTransformation,[status(thm)],[f_399]) ).

tff(c_524,plain,
    rstore_tail(queue_209,index_210) = queue_211,
    inference(cnfTransformation,[status(thm)],[f_307]) ).

tff(c_767,plain,
    rstore_tail(queue_209,index_210) = q40,
    inference(demodulation,[status(thm),theory(equality)],[c_708,c_524]) ).

tff(c_3952,plain,
    rselect_tail(q40) = index_210,
    inference(superposition,[status(thm),theory(equality)],[c_767,c_3940]) ).

tff(c_320,plain,
    rselect_tail(q40) = index_213,
    inference(cnfTransformation,[status(thm)],[f_205]) ).

tff(c_8073,plain,
    index_213 = index_210,
    inference(demodulation,[status(thm),theory(equality)],[c_3952,c_320]) ).

tff(c_322,plain,
    s(index_213) = index_216,
    inference(cnfTransformation,[status(thm)],[f_206]) ).

tff(c_2307,plain,
    p(index_216) = index_213,
    inference(superposition,[status(thm),theory(equality)],[c_322,c_2211]) ).

tff(c_8079,plain,
    p(index_216) = index_210,
    inference(demodulation,[status(thm),theory(equality)],[c_8073,c_2307]) ).

tff(c_714,plain,
    queue_229 = q43,
    inference(cnfTransformation,[status(thm)],[f_402]) ).

tff(c_536,plain,
    rstore_tail(queue_227,index_228) = queue_229,
    inference(cnfTransformation,[status(thm)],[f_313]) ).

tff(c_764,plain,
    rstore_tail(queue_227,index_228) = q43,
    inference(demodulation,[status(thm),theory(equality)],[c_714,c_536]) ).

tff(c_3970,plain,
    rselect_tail(q43) = index_228,
    inference(superposition,[status(thm),theory(equality)],[c_764,c_3940]) ).

tff(c_332,plain,
    rselect_tail(q43) = index_231,
    inference(cnfTransformation,[status(thm)],[f_211]) ).

tff(c_4284,plain,
    index_231 = index_228,
    inference(demodulation,[status(thm),theory(equality)],[c_3970,c_332]) ).

tff(c_334,plain,
    s(index_231) = index_234,
    inference(cnfTransformation,[status(thm)],[f_212]) ).

tff(c_4294,plain,
    s(index_228) = index_234,
    inference(demodulation,[status(thm),theory(equality)],[c_4284,c_334]) ).

tff(c_712,plain,
    queue_223 = q42,
    inference(cnfTransformation,[status(thm)],[f_401]) ).

tff(c_532,plain,
    rstore_tail(queue_221,index_222) = queue_223,
    inference(cnfTransformation,[status(thm)],[f_311]) ).

tff(c_765,plain,
    rstore_tail(queue_221,index_222) = q42,
    inference(demodulation,[status(thm),theory(equality)],[c_712,c_532]) ).

tff(c_4027,plain,
    rselect_tail(q42) = index_222,
    inference(superposition,[status(thm),theory(equality)],[c_765,c_3940]) ).

tff(c_328,plain,
    rselect_tail(q42) = index_225,
    inference(cnfTransformation,[status(thm)],[f_209]) ).

tff(c_7195,plain,
    index_225 = index_222,
    inference(demodulation,[status(thm),theory(equality)],[c_4027,c_328]) ).

tff(c_330,plain,
    s(index_225) = index_228,
    inference(cnfTransformation,[status(thm)],[f_210]) ).

tff(c_7206,plain,
    s(index_222) = index_228,
    inference(demodulation,[status(thm),theory(equality)],[c_7195,c_330]) ).

tff(c_710,plain,
    queue_217 = q41,
    inference(cnfTransformation,[status(thm)],[f_400]) ).

tff(c_528,plain,
    rstore_tail(queue_215,index_216) = queue_217,
    inference(cnfTransformation,[status(thm)],[f_309]) ).

tff(c_766,plain,
    rstore_tail(queue_215,index_216) = q41,
    inference(demodulation,[status(thm),theory(equality)],[c_710,c_528]) ).

tff(c_4009,plain,
    rselect_tail(q41) = index_216,
    inference(superposition,[status(thm),theory(equality)],[c_766,c_3940]) ).

tff(c_324,plain,
    rselect_tail(q41) = index_219,
    inference(cnfTransformation,[status(thm)],[f_207]) ).

tff(c_8173,plain,
    index_219 = index_216,
    inference(demodulation,[status(thm),theory(equality)],[c_4009,c_324]) ).

tff(c_326,plain,
    s(index_219) = index_222,
    inference(cnfTransformation,[status(thm)],[f_208]) ).

tff(c_8183,plain,
    s(index_216) = index_222,
    inference(demodulation,[status(thm),theory(equality)],[c_8173,c_326]) ).

tff(c_8224,plain,
    s(s(index_222)) = index_216,
    inference(superposition,[status(thm),theory(equality)],[c_8183,c_32]) ).

tff(c_8239,plain,
    index_234 = index_216,
    inference(demodulation,[status(thm),theory(equality)],[c_4294,c_7206,c_8224]) ).

tff(c_2256,plain,
    p(index_234) = index_231,
    inference(superposition,[status(thm),theory(equality)],[c_334,c_2211]) ).

tff(c_4291,plain,
    p(index_234) = index_228,
    inference(demodulation,[status(thm),theory(equality)],[c_4284,c_2256]) ).

tff(c_8250,plain,
    p(index_216) = index_228,
    inference(demodulation,[status(thm),theory(equality)],[c_8239,c_4291]) ).

tff(c_8254,plain,
    index_228 = index_210,
    inference(demodulation,[status(thm),theory(equality)],[c_8079,c_8250]) ).

tff(c_2241,plain,
    p(index_228) = index_225,
    inference(superposition,[status(thm),theory(equality)],[c_330,c_2211]) ).

tff(c_7203,plain,
    p(index_228) = index_222,
    inference(demodulation,[status(thm),theory(equality)],[c_7195,c_2241]) ).

tff(c_8260,plain,
    p(index_210) = index_222,
    inference(demodulation,[status(thm),theory(equality)],[c_8254,c_7203]) ).

tff(c_8267,plain,
    index_222 = index_207,
    inference(demodulation,[status(thm),theory(equality)],[c_2274,c_8260]) ).

tff(c_2316,plain,
    p(index_222) = index_219,
    inference(superposition,[status(thm),theory(equality)],[c_326,c_2211]) ).

tff(c_8181,plain,
    p(index_222) = index_216,
    inference(demodulation,[status(thm),theory(equality)],[c_8173,c_2316]) ).

tff(c_8297,plain,
    p(index_207) = index_216,
    inference(demodulation,[status(thm),theory(equality)],[c_8267,c_8181]) ).

tff(c_8535,plain,
    p(index_180) = index_216,
    inference(demodulation,[status(thm),theory(equality)],[c_8530,c_8297]) ).

tff(c_8543,plain,
    index_216 = index_174,
    inference(demodulation,[status(thm),theory(equality)],[c_7278,c_8535]) ).

tff(c_8553,plain,
    p(index_174) = index_210,
    inference(demodulation,[status(thm),theory(equality)],[c_8543,c_8079]) ).

tff(c_9126,plain,
    index_186 = index_168,
    inference(demodulation,[status(thm),theory(equality)],[c_7968,c_8544,c_8553]) ).

tff(c_2286,plain,
    p(index_186) = index_183,
    inference(superposition,[status(thm),theory(equality)],[c_300,c_2211]) ).

tff(c_8321,plain,
    p(index_186) = index_180,
    inference(demodulation,[status(thm),theory(equality)],[c_8313,c_2286]) ).

tff(c_9137,plain,
    p(index_168) = index_180,
    inference(demodulation,[status(thm),theory(equality)],[c_9126,c_8321]) ).

tff(c_9296,plain,
    p(index_126) = index_180,
    inference(demodulation,[status(thm),theory(equality)],[c_9294,c_9137]) ).

tff(c_9320,plain,
    index_180 = index_120,
    inference(demodulation,[status(thm),theory(equality)],[c_4118,c_9296]) ).

tff(c_9341,plain,
    p(index_120) = index_174,
    inference(demodulation,[status(thm),theory(equality)],[c_9320,c_7278]) ).

tff(c_9344,plain,
    index_174 = index_114,
    inference(demodulation,[status(thm),theory(equality)],[c_4882,c_9341]) ).

tff(c_9430,plain,
    index_216 = index_114,
    inference(demodulation,[status(thm),theory(equality)],[c_9344,c_8543]) ).

tff(c_9135,plain,
    index_210 = index_168,
    inference(demodulation,[status(thm),theory(equality)],[c_9126,c_8544]) ).

tff(c_9305,plain,
    index_210 = index_126,
    inference(demodulation,[status(thm),theory(equality)],[c_9294,c_9135]) ).

tff(c_8082,plain,
    s(index_210) = index_216,
    inference(demodulation,[status(thm),theory(equality)],[c_8073,c_322]) ).

tff(c_8098,plain,
    p(index_216) = index_210,
    inference(superposition,[status(thm),theory(equality)],[c_8082,c_24]) ).

tff(c_9503,plain,
    index_126 = index_108,
    inference(demodulation,[status(thm),theory(equality)],[c_7586,c_9430,c_9305,c_8098]) ).

tff(c_9520,plain,
    p(index_108) = index_120,
    inference(demodulation,[status(thm),theory(equality)],[c_9503,c_4118]) ).

tff(c_9525,plain,
    index_120 = index_102,
    inference(demodulation,[status(thm),theory(equality)],[c_6392,c_9520]) ).

tff(c_9561,plain,
    index_180 = index_102,
    inference(demodulation,[status(thm),theory(equality)],[c_9525,c_9320]) ).

tff(c_2271,plain,
    p(index_198) = index_195,
    inference(superposition,[status(thm),theory(equality)],[c_308,c_2211]) ).

tff(c_4159,plain,
    p(index_198) = index_192,
    inference(demodulation,[status(thm),theory(equality)],[c_4152,c_2271]) ).

tff(c_8391,plain,
    p(index_180) = index_192,
    inference(demodulation,[status(thm),theory(equality)],[c_8385,c_4159]) ).

tff(c_8396,plain,
    index_192 = index_174,
    inference(demodulation,[status(thm),theory(equality)],[c_7278,c_8391]) ).

tff(c_9432,plain,
    index_192 = index_114,
    inference(demodulation,[status(thm),theory(equality)],[c_9344,c_8396]) ).

tff(c_8393,plain,
    s(index_192) = index_180,
    inference(demodulation,[status(thm),theory(equality)],[c_8385,c_4162]) ).

tff(c_10007,plain,
    index_102 = index_0,
    inference(demodulation,[status(thm),theory(equality)],[c_9871,c_9561,c_9432,c_8393]) ).

tff(c_724,plain,
    queue_259 = q48,
    inference(cnfTransformation,[status(thm)],[f_407]) ).

tff(c_560,plain,
    rstore_tail(queue_257,index_258) = queue_259,
    inference(cnfTransformation,[status(thm)],[f_325]) ).

tff(c_758,plain,
    rstore_tail(queue_257,index_258) = q48,
    inference(demodulation,[status(thm),theory(equality)],[c_724,c_560]) ).

tff(c_3958,plain,
    rselect_tail(q48) = index_258,
    inference(superposition,[status(thm),theory(equality)],[c_758,c_3940]) ).

tff(c_354,plain,
    rselect_tail(q48) = index_261,
    inference(cnfTransformation,[status(thm)],[f_222]) ).

tff(c_7770,plain,
    index_261 = index_258,
    inference(demodulation,[status(thm),theory(equality)],[c_3958,c_354]) ).

tff(c_356,plain,
    s(index_261) = index_264,
    inference(cnfTransformation,[status(thm)],[f_223]) ).

tff(c_7782,plain,
    s(index_258) = index_264,
    inference(demodulation,[status(thm),theory(equality)],[c_7770,c_356]) ).

tff(c_722,plain,
    queue_253 = q47,
    inference(cnfTransformation,[status(thm)],[f_406]) ).

tff(c_556,plain,
    rstore_tail(queue_251,index_252) = queue_253,
    inference(cnfTransformation,[status(thm)],[f_323]) ).

tff(c_759,plain,
    rstore_tail(queue_251,index_252) = q47,
    inference(demodulation,[status(thm),theory(equality)],[c_722,c_556]) ).

tff(c_3997,plain,
    rselect_tail(q47) = index_252,
    inference(superposition,[status(thm),theory(equality)],[c_759,c_3940]) ).

tff(c_350,plain,
    rselect_tail(q47) = index_255,
    inference(cnfTransformation,[status(thm)],[f_220]) ).

tff(c_6698,plain,
    index_255 = index_252,
    inference(demodulation,[status(thm),theory(equality)],[c_3997,c_350]) ).

tff(c_352,plain,
    s(index_255) = index_258,
    inference(cnfTransformation,[status(thm)],[f_221]) ).

tff(c_6708,plain,
    s(index_252) = index_258,
    inference(demodulation,[status(thm),theory(equality)],[c_6698,c_352]) ).

tff(c_7281,plain,
    s(index_174) = index_180,
    inference(demodulation,[status(thm),theory(equality)],[c_7271,c_296]) ).

tff(c_8550,plain,
    index_234 = index_174,
    inference(demodulation,[status(thm),theory(equality)],[c_8543,c_8239]) ).

tff(c_716,plain,
    queue_235 = q44,
    inference(cnfTransformation,[status(thm)],[f_403]) ).

tff(c_542,plain,
    rstore_tail(queue_233,index_234) = queue_235,
    inference(cnfTransformation,[status(thm)],[f_316]) ).

tff(c_763,plain,
    rstore_tail(queue_233,index_234) = q44,
    inference(demodulation,[status(thm),theory(equality)],[c_716,c_542]) ).

tff(c_4072,plain,
    rselect_tail(q44) = index_234,
    inference(superposition,[status(thm),theory(equality)],[c_763,c_3940]) ).

tff(c_8666,plain,
    rselect_tail(q44) = index_174,
    inference(demodulation,[status(thm),theory(equality)],[c_8550,c_4072]) ).

tff(c_336,plain,
    rselect_tail(q44) = index_237,
    inference(cnfTransformation,[status(thm)],[f_213]) ).

tff(c_8667,plain,
    index_237 = index_174,
    inference(demodulation,[status(thm),theory(equality)],[c_8666,c_336]) ).

tff(c_340,plain,
    s(index_237) = index_240,
    inference(cnfTransformation,[status(thm)],[f_215]) ).

tff(c_8677,plain,
    s(index_174) = index_240,
    inference(demodulation,[status(thm),theory(equality)],[c_8667,c_340]) ).

tff(c_8678,plain,
    index_240 = index_180,
    inference(demodulation,[status(thm),theory(equality)],[c_7281,c_8677]) ).

tff(c_718,plain,
    queue_241 = q45,
    inference(cnfTransformation,[status(thm)],[f_404]) ).

tff(c_546,plain,
    rstore_tail(queue_239,index_240) = queue_241,
    inference(cnfTransformation,[status(thm)],[f_318]) ).

tff(c_762,plain,
    rstore_tail(queue_239,index_240) = q45,
    inference(demodulation,[status(thm),theory(equality)],[c_718,c_546]) ).

tff(c_4012,plain,
    rselect_tail(q45) = index_240,
    inference(superposition,[status(thm),theory(equality)],[c_762,c_3940]) ).

tff(c_342,plain,
    rselect_tail(q45) = index_243,
    inference(cnfTransformation,[status(thm)],[f_216]) ).

tff(c_4524,plain,
    index_243 = index_240,
    inference(demodulation,[status(thm),theory(equality)],[c_4012,c_342]) ).

tff(c_344,plain,
    s(index_243) = index_246,
    inference(cnfTransformation,[status(thm)],[f_217]) ).

tff(c_4534,plain,
    s(index_240) = index_246,
    inference(demodulation,[status(thm),theory(equality)],[c_4524,c_344]) ).

tff(c_8708,plain,
    s(index_180) = index_246,
    inference(demodulation,[status(thm),theory(equality)],[c_8678,c_4534]) ).

tff(c_8714,plain,
    index_246 = index_186,
    inference(demodulation,[status(thm),theory(equality)],[c_8323,c_8708]) ).

tff(c_720,plain,
    queue_247 = q46,
    inference(cnfTransformation,[status(thm)],[f_405]) ).

tff(c_550,plain,
    rstore_tail(queue_245,index_246) = queue_247,
    inference(cnfTransformation,[status(thm)],[f_320]) ).

tff(c_761,plain,
    rstore_tail(queue_245,index_246) = q46,
    inference(demodulation,[status(thm),theory(equality)],[c_720,c_550]) ).

tff(c_4006,plain,
    rselect_tail(q46) = index_246,
    inference(superposition,[status(thm),theory(equality)],[c_761,c_3940]) ).

tff(c_346,plain,
    rselect_tail(q46) = index_249,
    inference(cnfTransformation,[status(thm)],[f_218]) ).

tff(c_7609,plain,
    index_249 = index_246,
    inference(demodulation,[status(thm),theory(equality)],[c_4006,c_346]) ).

tff(c_348,plain,
    s(index_249) = index_252,
    inference(cnfTransformation,[status(thm)],[f_219]) ).

tff(c_7620,plain,
    s(index_246) = index_252,
    inference(demodulation,[status(thm),theory(equality)],[c_7609,c_348]) ).

tff(c_8729,plain,
    s(index_186) = index_252,
    inference(demodulation,[status(thm),theory(equality)],[c_8714,c_7620]) ).

tff(c_9019,plain,
    s(s(index_252)) = index_186,
    inference(superposition,[status(thm),theory(equality)],[c_8729,c_32]) ).

tff(c_9034,plain,
    index_264 = index_186,
    inference(demodulation,[status(thm),theory(equality)],[c_7782,c_6708,c_9019]) ).

tff(c_2289,plain,
    p(index_264) = index_261,
    inference(superposition,[status(thm),theory(equality)],[c_356,c_2211]) ).

tff(c_7779,plain,
    p(index_264) = index_258,
    inference(demodulation,[status(thm),theory(equality)],[c_7770,c_2289]) ).

tff(c_9038,plain,
    p(index_186) = index_258,
    inference(demodulation,[status(thm),theory(equality)],[c_9034,c_7779]) ).

tff(c_9046,plain,
    index_258 = index_180,
    inference(demodulation,[status(thm),theory(equality)],[c_8321,c_9038]) ).

tff(c_726,plain,
    queue_265 = q49,
    inference(cnfTransformation,[status(thm)],[f_408]) ).

tff(c_564,plain,
    rstore_tail(queue_263,index_264) = queue_265,
    inference(cnfTransformation,[status(thm)],[f_327]) ).

tff(c_757,plain,
    rstore_tail(queue_263,index_264) = q49,
    inference(demodulation,[status(thm),theory(equality)],[c_726,c_564]) ).

tff(c_4018,plain,
    rselect_tail(q49) = index_264,
    inference(superposition,[status(thm),theory(equality)],[c_757,c_3940]) ).

tff(c_382,plain,
    rselect_tail(q49) = index_299,
    inference(cnfTransformation,[status(thm)],[f_236]) ).

tff(c_7301,plain,
    index_299 = index_264,
    inference(demodulation,[status(thm),theory(equality)],[c_4018,c_382]) ).

tff(c_388,plain,
    s(index_300) = index_299,
    inference(cnfTransformation,[status(thm)],[f_239]) ).

tff(c_2328,plain,
    p(index_299) = index_300,
    inference(superposition,[status(thm),theory(equality)],[c_388,c_2211]) ).

tff(c_7307,plain,
    p(index_264) = index_300,
    inference(demodulation,[status(thm),theory(equality)],[c_7301,c_2328]) ).

tff(c_7311,plain,
    index_300 = index_261,
    inference(demodulation,[status(thm),theory(equality)],[c_2289,c_7307]) ).

tff(c_7775,plain,
    index_300 = index_258,
    inference(demodulation,[status(thm),theory(equality)],[c_7770,c_7311]) ).

tff(c_9055,plain,
    index_300 = index_180,
    inference(demodulation,[status(thm),theory(equality)],[c_9046,c_7775]) ).

tff(c_9327,plain,
    index_300 = index_120,
    inference(demodulation,[status(thm),theory(equality)],[c_9320,c_9055]) ).

tff(c_9688,plain,
    index_300 = index_102,
    inference(demodulation,[status(thm),theory(equality)],[c_9525,c_9327]) ).

tff(c_10013,plain,
    index_300 = index_0,
    inference(demodulation,[status(thm),theory(equality)],[c_10007,c_9688]) ).

tff(c_562,plain,
    rstore_seq(q48,earray_262) = queue_263,
    inference(cnfTransformation,[status(thm)],[f_326]) ).

tff(c_3684,plain,
    ! [A_39,E_40] : ( rselect_seq(rstore_seq(A_39,E_40)) = E_40 ),
    inference(cnfTransformation,[status(thm)],[f_33]) ).

tff(c_3708,plain,
    rselect_seq(queue_263) = earray_262,
    inference(superposition,[status(thm),theory(equality)],[c_562,c_3684]) ).

tff(c_180,plain,
    rselect_seq(q49) = earray_296,
    inference(cnfTransformation,[status(thm)],[f_135]) ).

tff(c_5069,plain,
    ! [A_47,E_48] : ( rselect_seq(rstore_tail(A_47,E_48)) = rselect_seq(A_47) ),
    inference(cnfTransformation,[status(thm)],[f_41]) ).

tff(c_5147,plain,
    rselect_seq(queue_263) = rselect_seq(q49),
    inference(superposition,[status(thm),theory(equality)],[c_757,c_5069]) ).

tff(c_5245,plain,
    earray_296 = earray_262,
    inference(demodulation,[status(thm),theory(equality)],[c_3708,c_180,c_5147]) ).

tff(c_234,plain,
    select(earray_296,index_300) = elem_301,
    inference(cnfTransformation,[status(thm)],[f_162]) ).

tff(c_5901,plain,
    select(earray_262,index_300) = elem_301,
    inference(demodulation,[status(thm),theory(equality)],[c_5245,c_234]) ).

tff(c_11274,plain,
    select(earray_262,index_0) = elem_301,
    inference(demodulation,[status(thm),theory(equality)],[c_10013,c_5901]) ).

tff(c_9056,plain,
    index_261 = index_180,
    inference(demodulation,[status(thm),theory(equality)],[c_9046,c_7770]) ).

tff(c_9326,plain,
    index_261 = index_120,
    inference(demodulation,[status(thm),theory(equality)],[c_9320,c_9056]) ).

tff(c_9708,plain,
    index_261 = index_102,
    inference(demodulation,[status(thm),theory(equality)],[c_9525,c_9326]) ).

tff(c_156,plain,
    store(earray_260,index_261,e48) = earray_262,
    inference(cnfTransformation,[status(thm)],[f_123]) ).

tff(c_5907,plain,
    ! [A_57,I_58,E_59] : ( select(store(A_57,I_58,E_59),I_58) = E_59 ),
    inference(cnfTransformation,[status(thm)],[f_27]) ).

tff(c_5946,plain,
    select(earray_262,index_261) = e48,
    inference(superposition,[status(thm),theory(equality)],[c_156,c_5907]) ).

tff(c_9709,plain,
    select(earray_262,index_102) = e48,
    inference(demodulation,[status(thm),theory(equality)],[c_9708,c_5946]) ).

tff(c_13719,plain,
    elem_301 = e48,
    inference(demodulation,[status(thm),theory(equality)],[c_11274,c_10007,c_9709]) ).

tff(c_738,plain,
    elem_301 != elem_298,
    inference(cnfTransformation,[status(thm)],[f_415]) ).

tff(c_13721,plain,
    elem_298 != e48,
    inference(demodulation,[status(thm),theory(equality)],[c_13719,c_738]) ).

tff(c_13720,plain,
    select(earray_262,index_0) = e48,
    inference(demodulation,[status(thm),theory(equality)],[c_13719,c_11274]) ).

tff(c_594,plain,
    rstore_seq(q14,earray_40) = queue_41,
    inference(cnfTransformation,[status(thm)],[f_342]) ).

tff(c_5518,plain,
    ! [A_51,E_52] : ( rselect_head(rstore_seq(A_51,E_52)) = rselect_head(A_51) ),
    inference(cnfTransformation,[status(thm)],[f_45]) ).

tff(c_5533,plain,
    rselect_head(queue_41) = rselect_head(q14),
    inference(superposition,[status(thm),theory(equality)],[c_594,c_5518]) ).

tff(c_5693,plain,
    ! [A_53,E_54] : ( rselect_head(rstore_tail(A_53,E_54)) = rselect_head(A_53) ),
    inference(cnfTransformation,[status(thm)],[f_43]) ).

tff(c_5804,plain,
    rselect_head(queue_41) = rselect_head(q15),
    inference(superposition,[status(thm),theory(equality)],[c_749,c_5693]) ).

tff(c_10977,plain,
    rselect_head(q15) = rselect_head(q14),
    inference(demodulation,[status(thm),theory(equality)],[c_5533,c_5804]) ).

tff(c_598,plain,
    rstore_seq(q15,earray_46) = queue_47,
    inference(cnfTransformation,[status(thm)],[f_344]) ).

tff(c_5599,plain,
    rselect_head(queue_47) = rselect_head(q15),
    inference(superposition,[status(thm),theory(equality)],[c_598,c_5518]) ).

tff(c_11012,plain,
    rselect_head(queue_47) = rselect_head(q14),
    inference(demodulation,[status(thm),theory(equality)],[c_10977,c_5599]) ).

tff(c_5726,plain,
    rselect_head(queue_47) = rselect_head(q16),
    inference(superposition,[status(thm),theory(equality)],[c_748,c_5693]) ).

tff(c_11013,plain,
    rselect_head(q16) = rselect_head(q14),
    inference(demodulation,[status(thm),theory(equality)],[c_11012,c_5726]) ).

tff(c_604,plain,
    rstore_seq(q16,earray_52) = queue_53,
    inference(cnfTransformation,[status(thm)],[f_347]) ).

tff(c_5641,plain,
    rselect_head(queue_53) = rselect_head(q16),
    inference(superposition,[status(thm),theory(equality)],[c_604,c_5518]) ).

tff(c_11396,plain,
    rselect_head(queue_53) = rselect_head(q14),
    inference(demodulation,[status(thm),theory(equality)],[c_11013,c_5641]) ).

tff(c_5810,plain,
    rselect_head(queue_53) = rselect_head(q17),
    inference(superposition,[status(thm),theory(equality)],[c_747,c_5693]) ).

tff(c_11397,plain,
    rselect_head(q17) = rselect_head(q14),
    inference(demodulation,[status(thm),theory(equality)],[c_11396,c_5810]) ).

tff(c_608,plain,
    rstore_seq(q17,earray_58) = queue_59,
    inference(cnfTransformation,[status(thm)],[f_349]) ).

tff(c_5653,plain,
    rselect_head(queue_59) = rselect_head(q17),
    inference(superposition,[status(thm),theory(equality)],[c_608,c_5518]) ).

tff(c_11407,plain,
    rselect_head(queue_59) = rselect_head(q14),
    inference(demodulation,[status(thm),theory(equality)],[c_11397,c_5653]) ).

tff(c_5702,plain,
    rselect_head(queue_59) = rselect_head(q18),
    inference(superposition,[status(thm),theory(equality)],[c_746,c_5693]) ).

tff(c_12126,plain,
    rselect_head(q18) = rselect_head(q14),
    inference(demodulation,[status(thm),theory(equality)],[c_11407,c_5702]) ).

tff(c_558,plain,
    rstore_seq(q47,earray_256) = queue_257,
    inference(cnfTransformation,[status(thm)],[f_324]) ).

tff(c_5548,plain,
    rselect_head(queue_257) = rselect_head(q47),
    inference(superposition,[status(thm),theory(equality)],[c_558,c_5518]) ).

tff(c_5711,plain,
    rselect_head(queue_257) = rselect_head(q48),
    inference(superposition,[status(thm),theory(equality)],[c_758,c_5693]) ).

tff(c_10943,plain,
    rselect_head(q48) = rselect_head(q47),
    inference(demodulation,[status(thm),theory(equality)],[c_5548,c_5711]) ).

tff(c_380,plain,
    rselect_head(q49) = index_297,
    inference(cnfTransformation,[status(thm)],[f_235]) ).

tff(c_5771,plain,
    rselect_head(queue_263) = rselect_head(q49),
    inference(superposition,[status(thm),theory(equality)],[c_757,c_5693]) ).

tff(c_5846,plain,
    rselect_head(queue_263) = index_297,
    inference(demodulation,[status(thm),theory(equality)],[c_380,c_5771]) ).

tff(c_5542,plain,
    rselect_head(queue_263) = rselect_head(q48),
    inference(superposition,[status(thm),theory(equality)],[c_562,c_5518]) ).

tff(c_11475,plain,
    rselect_head(q47) = index_297,
    inference(demodulation,[status(thm),theory(equality)],[c_10943,c_5846,c_5542]) ).

tff(c_5750,plain,
    rselect_head(queue_251) = rselect_head(q47),
    inference(superposition,[status(thm),theory(equality)],[c_759,c_5693]) ).

tff(c_12029,plain,
    rselect_head(queue_251) = index_297,
    inference(demodulation,[status(thm),theory(equality)],[c_11475,c_5750]) ).

tff(c_474,plain,
    rstore_seq(q29,earray_142) = queue_143,
    inference(cnfTransformation,[status(thm)],[f_282]) ).

tff(c_5668,plain,
    rselect_head(queue_143) = rselect_head(q29),
    inference(superposition,[status(thm),theory(equality)],[c_474,c_5518]) ).

tff(c_5801,plain,
    rselect_head(queue_143) = rselect_head(q30),
    inference(superposition,[status(thm),theory(equality)],[c_779,c_5693]) ).

tff(c_11908,plain,
    rselect_head(q30) = rselect_head(q29),
    inference(demodulation,[status(thm),theory(equality)],[c_5668,c_5801]) ).

tff(c_478,plain,
    rstore_seq(q30,earray_148) = queue_149,
    inference(cnfTransformation,[status(thm)],[f_284]) ).

tff(c_5620,plain,
    rselect_head(queue_149) = rselect_head(q30),
    inference(superposition,[status(thm),theory(equality)],[c_478,c_5518]) ).

tff(c_5831,plain,
    rselect_head(queue_149) = rselect_head(q31),
    inference(superposition,[status(thm),theory(equality)],[c_778,c_5693]) ).

tff(c_9983,plain,
    rselect_head(q31) = rselect_head(q30),
    inference(demodulation,[status(thm),theory(equality)],[c_5620,c_5831]) ).

tff(c_482,plain,
    rstore_seq(q31,earray_154) = queue_155,
    inference(cnfTransformation,[status(thm)],[f_286]) ).

tff(c_5611,plain,
    rselect_head(queue_155) = rselect_head(q31),
    inference(superposition,[status(thm),theory(equality)],[c_482,c_5518]) ).

tff(c_10930,plain,
    rselect_head(queue_155) = rselect_head(q30),
    inference(demodulation,[status(thm),theory(equality)],[c_9983,c_5611]) ).

tff(c_5789,plain,
    rselect_head(queue_155) = rselect_head(q32),
    inference(superposition,[status(thm),theory(equality)],[c_777,c_5693]) ).

tff(c_10931,plain,
    rselect_head(q32) = rselect_head(q30),
    inference(demodulation,[status(thm),theory(equality)],[c_10930,c_5789]) ).

tff(c_486,plain,
    rstore_seq(q32,earray_160) = queue_161,
    inference(cnfTransformation,[status(thm)],[f_288]) ).

tff(c_5593,plain,
    rselect_head(queue_161) = rselect_head(q32),
    inference(superposition,[status(thm),theory(equality)],[c_486,c_5518]) ).

tff(c_11656,plain,
    rselect_head(queue_161) = rselect_head(q30),
    inference(demodulation,[status(thm),theory(equality)],[c_10931,c_5593]) ).

tff(c_5786,plain,
    rselect_head(queue_161) = rselect_head(q33),
    inference(superposition,[status(thm),theory(equality)],[c_776,c_5693]) ).

tff(c_11657,plain,
    rselect_head(q33) = rselect_head(q30),
    inference(demodulation,[status(thm),theory(equality)],[c_11656,c_5786]) ).

tff(c_490,plain,
    rstore_seq(q33,earray_166) = queue_167,
    inference(cnfTransformation,[status(thm)],[f_290]) ).

tff(c_5632,plain,
    rselect_head(queue_167) = rselect_head(q33),
    inference(superposition,[status(thm),theory(equality)],[c_490,c_5518]) ).

tff(c_5783,plain,
    rselect_head(queue_167) = rselect_head(q34),
    inference(superposition,[status(thm),theory(equality)],[c_775,c_5693]) ).

tff(c_11114,plain,
    rselect_head(q34) = rselect_head(q33),
    inference(demodulation,[status(thm),theory(equality)],[c_5632,c_5783]) ).

tff(c_496,plain,
    rstore_seq(q34,earray_172) = queue_173,
    inference(cnfTransformation,[status(thm)],[f_293]) ).

tff(c_5578,plain,
    rselect_head(queue_173) = rselect_head(q34),
    inference(superposition,[status(thm),theory(equality)],[c_496,c_5518]) ).

tff(c_5732,plain,
    rselect_head(queue_173) = rselect_head(q35),
    inference(superposition,[status(thm),theory(equality)],[c_774,c_5693]) ).

tff(c_10916,plain,
    rselect_head(q35) = rselect_head(q34),
    inference(demodulation,[status(thm),theory(equality)],[c_5578,c_5732]) ).

tff(c_500,plain,
    rstore_seq(q35,earray_178) = queue_179,
    inference(cnfTransformation,[status(thm)],[f_295]) ).

tff(c_5647,plain,
    rselect_head(queue_179) = rselect_head(q35),
    inference(superposition,[status(thm),theory(equality)],[c_500,c_5518]) ).

tff(c_10953,plain,
    rselect_head(queue_179) = rselect_head(q34),
    inference(demodulation,[status(thm),theory(equality)],[c_10916,c_5647]) ).

tff(c_5795,plain,
    rselect_head(queue_179) = rselect_head(q36),
    inference(superposition,[status(thm),theory(equality)],[c_773,c_5693]) ).

tff(c_10954,plain,
    rselect_head(q36) = rselect_head(q34),
    inference(demodulation,[status(thm),theory(equality)],[c_10953,c_5795]) ).

tff(c_11139,plain,
    rselect_head(q36) = rselect_head(q33),
    inference(demodulation,[status(thm),theory(equality)],[c_11114,c_10954]) ).

tff(c_504,plain,
    rstore_seq(q36,earray_184) = queue_185,
    inference(cnfTransformation,[status(thm)],[f_297]) ).

tff(c_5662,plain,
    rselect_head(queue_185) = rselect_head(q36),
    inference(superposition,[status(thm),theory(equality)],[c_504,c_5518]) ).

tff(c_11494,plain,
    rselect_head(queue_185) = rselect_head(q33),
    inference(demodulation,[status(thm),theory(equality)],[c_11139,c_5662]) ).

tff(c_5792,plain,
    rselect_head(queue_185) = rselect_head(q37),
    inference(superposition,[status(thm),theory(equality)],[c_772,c_5693]) ).

tff(c_11638,plain,
    rselect_head(q37) = rselect_head(q33),
    inference(demodulation,[status(thm),theory(equality)],[c_11494,c_5792]) ).

tff(c_510,plain,
    rstore_seq(q37,earray_190) = queue_191,
    inference(cnfTransformation,[status(thm)],[f_300]) ).

tff(c_5626,plain,
    rselect_head(queue_191) = rselect_head(q37),
    inference(superposition,[status(thm),theory(equality)],[c_510,c_5518]) ).

tff(c_5714,plain,
    rselect_head(queue_191) = rselect_head(q38),
    inference(superposition,[status(thm),theory(equality)],[c_770,c_5693]) ).

tff(c_10972,plain,
    rselect_head(q38) = rselect_head(q37),
    inference(demodulation,[status(thm),theory(equality)],[c_5626,c_5714]) ).

tff(c_514,plain,
    rstore_seq(q38,earray_196) = queue_197,
    inference(cnfTransformation,[status(thm)],[f_302]) ).

tff(c_5650,plain,
    rselect_head(queue_197) = rselect_head(q38),
    inference(superposition,[status(thm),theory(equality)],[c_514,c_5518]) ).

tff(c_11130,plain,
    rselect_head(queue_197) = rselect_head(q37),
    inference(demodulation,[status(thm),theory(equality)],[c_10972,c_5650]) ).

tff(c_5798,plain,
    rselect_head(queue_197) = rselect_head(q39),
    inference(superposition,[status(thm),theory(equality)],[c_769,c_5693]) ).

tff(c_11465,plain,
    rselect_head(q39) = rselect_head(q37),
    inference(demodulation,[status(thm),theory(equality)],[c_11130,c_5798]) ).

tff(c_522,plain,
    rstore_seq(q39,earray_208) = queue_209,
    inference(cnfTransformation,[status(thm)],[f_306]) ).

tff(c_5644,plain,
    rselect_head(queue_209) = rselect_head(q39),
    inference(superposition,[status(thm),theory(equality)],[c_522,c_5518]) ).

tff(c_5705,plain,
    rselect_head(queue_209) = rselect_head(q40),
    inference(superposition,[status(thm),theory(equality)],[c_767,c_5693]) ).

tff(c_11249,plain,
    rselect_head(q40) = rselect_head(q39),
    inference(demodulation,[status(thm),theory(equality)],[c_5644,c_5705]) ).

tff(c_526,plain,
    rstore_seq(q40,earray_214) = queue_215,
    inference(cnfTransformation,[status(thm)],[f_308]) ).

tff(c_5590,plain,
    rselect_head(queue_215) = rselect_head(q40),
    inference(superposition,[status(thm),theory(equality)],[c_526,c_5518]) ).

tff(c_5762,plain,
    rselect_head(queue_215) = rselect_head(q41),
    inference(superposition,[status(thm),theory(equality)],[c_766,c_5693]) ).

tff(c_11196,plain,
    rselect_head(q41) = rselect_head(q40),
    inference(demodulation,[status(thm),theory(equality)],[c_5590,c_5762]) ).

tff(c_530,plain,
    rstore_seq(q41,earray_220) = queue_221,
    inference(cnfTransformation,[status(thm)],[f_310]) ).

tff(c_5572,plain,
    rselect_head(queue_221) = rselect_head(q41),
    inference(superposition,[status(thm),theory(equality)],[c_530,c_5518]) ).

tff(c_11240,plain,
    rselect_head(queue_221) = rselect_head(q40),
    inference(demodulation,[status(thm),theory(equality)],[c_11196,c_5572]) ).

tff(c_11387,plain,
    rselect_head(queue_221) = rselect_head(q39),
    inference(demodulation,[status(thm),theory(equality)],[c_11249,c_11240]) ).

tff(c_11466,plain,
    rselect_head(queue_221) = rselect_head(q37),
    inference(demodulation,[status(thm),theory(equality)],[c_11465,c_11387]) ).

tff(c_11639,plain,
    rselect_head(queue_221) = rselect_head(q33),
    inference(demodulation,[status(thm),theory(equality)],[c_11638,c_11466]) ).

tff(c_11760,plain,
    rselect_head(queue_221) = rselect_head(q30),
    inference(demodulation,[status(thm),theory(equality)],[c_11657,c_11639]) ).

tff(c_5780,plain,
    rselect_head(queue_221) = rselect_head(q42),
    inference(superposition,[status(thm),theory(equality)],[c_765,c_5693]) ).

tff(c_11857,plain,
    rselect_head(q42) = rselect_head(q30),
    inference(demodulation,[status(thm),theory(equality)],[c_11760,c_5780]) ).

tff(c_534,plain,
    rstore_seq(q42,earray_226) = queue_227,
    inference(cnfTransformation,[status(thm)],[f_312]) ).

tff(c_5560,plain,
    rselect_head(queue_227) = rselect_head(q42),
    inference(superposition,[status(thm),theory(equality)],[c_534,c_5518]) ).

tff(c_5723,plain,
    rselect_head(queue_227) = rselect_head(q43),
    inference(superposition,[status(thm),theory(equality)],[c_764,c_5693]) ).

tff(c_10907,plain,
    rselect_head(q43) = rselect_head(q42),
    inference(demodulation,[status(thm),theory(equality)],[c_5560,c_5723]) ).

tff(c_540,plain,
    rstore_seq(q43,earray_232) = queue_233,
    inference(cnfTransformation,[status(thm)],[f_315]) ).

tff(c_5671,plain,
    rselect_head(queue_233) = rselect_head(q43),
    inference(superposition,[status(thm),theory(equality)],[c_540,c_5518]) ).

tff(c_11307,plain,
    rselect_head(queue_233) = rselect_head(q42),
    inference(demodulation,[status(thm),theory(equality)],[c_10907,c_5671]) ).

tff(c_5822,plain,
    rselect_head(queue_233) = rselect_head(q44),
    inference(superposition,[status(thm),theory(equality)],[c_763,c_5693]) ).

tff(c_11556,plain,
    rselect_head(q44) = rselect_head(q42),
    inference(demodulation,[status(thm),theory(equality)],[c_11307,c_5822]) ).

tff(c_544,plain,
    rstore_seq(q44,earray_238) = queue_239,
    inference(cnfTransformation,[status(thm)],[f_317]) ).

tff(c_5614,plain,
    rselect_head(queue_239) = rselect_head(q44),
    inference(superposition,[status(thm),theory(equality)],[c_544,c_5518]) ).

tff(c_5765,plain,
    rselect_head(queue_239) = rselect_head(q45),
    inference(superposition,[status(thm),theory(equality)],[c_762,c_5693]) ).

tff(c_10757,plain,
    rselect_head(q45) = rselect_head(q44),
    inference(demodulation,[status(thm),theory(equality)],[c_5614,c_5765]) ).

tff(c_548,plain,
    rstore_seq(q45,earray_244) = queue_245,
    inference(cnfTransformation,[status(thm)],[f_319]) ).

tff(c_5638,plain,
    rselect_head(queue_245) = rselect_head(q45),
    inference(superposition,[status(thm),theory(equality)],[c_548,c_5518]) ).

tff(c_10948,plain,
    rselect_head(queue_245) = rselect_head(q44),
    inference(demodulation,[status(thm),theory(equality)],[c_10757,c_5638]) ).

tff(c_5759,plain,
    rselect_head(queue_245) = rselect_head(q46),
    inference(superposition,[status(thm),theory(equality)],[c_761,c_5693]) ).

tff(c_11048,plain,
    rselect_head(q46) = rselect_head(q44),
    inference(demodulation,[status(thm),theory(equality)],[c_10948,c_5759]) ).

tff(c_554,plain,
    rstore_seq(q46,earray_250) = queue_251,
    inference(cnfTransformation,[status(thm)],[f_322]) ).

tff(c_5566,plain,
    rselect_head(queue_251) = rselect_head(q46),
    inference(superposition,[status(thm),theory(equality)],[c_554,c_5518]) ).

tff(c_11049,plain,
    rselect_head(queue_251) = rselect_head(q44),
    inference(demodulation,[status(thm),theory(equality)],[c_11048,c_5566]) ).

tff(c_11557,plain,
    rselect_head(queue_251) = rselect_head(q42),
    inference(demodulation,[status(thm),theory(equality)],[c_11556,c_11049]) ).

tff(c_11859,plain,
    rselect_head(queue_251) = rselect_head(q30),
    inference(demodulation,[status(thm),theory(equality)],[c_11857,c_11557]) ).

tff(c_12050,plain,
    rselect_head(q29) = index_297,
    inference(demodulation,[status(thm),theory(equality)],[c_12029,c_11908,c_11859]) ).

tff(c_612,plain,
    rstore_seq(q18,earray_64) = queue_65,
    inference(cnfTransformation,[status(thm)],[f_351]) ).

tff(c_5530,plain,
    rselect_head(queue_65) = rselect_head(q18),
    inference(superposition,[status(thm),theory(equality)],[c_612,c_5518]) ).

tff(c_5807,plain,
    rselect_head(queue_65) = rselect_head(q19),
    inference(superposition,[status(thm),theory(equality)],[c_745,c_5693]) ).

tff(c_11294,plain,
    rselect_head(q19) = rselect_head(q18),
    inference(demodulation,[status(thm),theory(equality)],[c_5530,c_5807]) ).

tff(c_622,plain,
    rstore_seq(q19,earray_76) = queue_77,
    inference(cnfTransformation,[status(thm)],[f_356]) ).

tff(c_5623,plain,
    rselect_head(queue_77) = rselect_head(q19),
    inference(superposition,[status(thm),theory(equality)],[c_622,c_5518]) ).

tff(c_5768,plain,
    rselect_head(queue_77) = rselect_head(q20),
    inference(superposition,[status(thm),theory(equality)],[c_742,c_5693]) ).

tff(c_11034,plain,
    rselect_head(q20) = rselect_head(q19),
    inference(demodulation,[status(thm),theory(equality)],[c_5623,c_5768]) ).

tff(c_626,plain,
    rstore_seq(q20,earray_82) = queue_83,
    inference(cnfTransformation,[status(thm)],[f_358]) ).

tff(c_5536,plain,
    rselect_head(queue_83) = rselect_head(q20),
    inference(superposition,[status(thm),theory(equality)],[c_626,c_5518]) ).

tff(c_11157,plain,
    rselect_head(queue_83) = rselect_head(q19),
    inference(demodulation,[status(thm),theory(equality)],[c_11034,c_5536]) ).

tff(c_5717,plain,
    rselect_head(queue_83) = rselect_head(q21),
    inference(superposition,[status(thm),theory(equality)],[c_741,c_5693]) ).

tff(c_11158,plain,
    rselect_head(q21) = rselect_head(q19),
    inference(demodulation,[status(thm),theory(equality)],[c_11157,c_5717]) ).

tff(c_11344,plain,
    rselect_head(q21) = rselect_head(q18),
    inference(demodulation,[status(thm),theory(equality)],[c_11294,c_11158]) ).

tff(c_630,plain,
    rstore_seq(q21,earray_88) = queue_89,
    inference(cnfTransformation,[status(thm)],[f_360]) ).

tff(c_5587,plain,
    rselect_head(queue_89) = rselect_head(q21),
    inference(superposition,[status(thm),theory(equality)],[c_630,c_5518]) ).

tff(c_11871,plain,
    rselect_head(queue_89) = rselect_head(q18),
    inference(demodulation,[status(thm),theory(equality)],[c_11344,c_5587]) ).

tff(c_5753,plain,
    rselect_head(queue_89) = rselect_head(q22),
    inference(superposition,[status(thm),theory(equality)],[c_740,c_5693]) ).

tff(c_11872,plain,
    rselect_head(q22) = rselect_head(q18),
    inference(demodulation,[status(thm),theory(equality)],[c_11871,c_5753]) ).

tff(c_634,plain,
    rstore_seq(q22,earray_94) = queue_95,
    inference(cnfTransformation,[status(thm)],[f_362]) ).

tff(c_5581,plain,
    rselect_head(queue_95) = rselect_head(q22),
    inference(superposition,[status(thm),theory(equality)],[c_634,c_5518]) ).

tff(c_5774,plain,
    rselect_head(queue_95) = rselect_head(q23),
    inference(superposition,[status(thm),theory(equality)],[c_739,c_5693]) ).

tff(c_10137,plain,
    rselect_head(q23) = rselect_head(q22),
    inference(demodulation,[status(thm),theory(equality)],[c_5581,c_5774]) ).

tff(c_442,plain,
    rstore_seq(q23,earray_100) = queue_101,
    inference(cnfTransformation,[status(thm)],[f_266]) ).

tff(c_5656,plain,
    rselect_head(queue_101) = rselect_head(q23),
    inference(superposition,[status(thm),theory(equality)],[c_442,c_5518]) ).

tff(c_11182,plain,
    rselect_head(queue_101) = rselect_head(q22),
    inference(demodulation,[status(thm),theory(equality)],[c_10137,c_5656]) ).

tff(c_5741,plain,
    rselect_head(queue_101) = rselect_head(q24),
    inference(superposition,[status(thm),theory(equality)],[c_787,c_5693]) ).

tff(c_11330,plain,
    rselect_head(q24) = rselect_head(q22),
    inference(demodulation,[status(thm),theory(equality)],[c_11182,c_5741]) ).

tff(c_446,plain,
    rstore_seq(q24,earray_106) = queue_107,
    inference(cnfTransformation,[status(thm)],[f_268]) ).

tff(c_5596,plain,
    rselect_head(queue_107) = rselect_head(q24),
    inference(superposition,[status(thm),theory(equality)],[c_446,c_5518]) ).

tff(c_5735,plain,
    rselect_head(queue_107) = rselect_head(q25),
    inference(superposition,[status(thm),theory(equality)],[c_786,c_5693]) ).

tff(c_11068,plain,
    rselect_head(q25) = rselect_head(q24),
    inference(demodulation,[status(thm),theory(equality)],[c_5596,c_5735]) ).

tff(c_452,plain,
    rstore_seq(q25,earray_112) = queue_113,
    inference(cnfTransformation,[status(thm)],[f_271]) ).

tff(c_5545,plain,
    rselect_head(queue_113) = rselect_head(q25),
    inference(superposition,[status(thm),theory(equality)],[c_452,c_5518]) ).

tff(c_11218,plain,
    rselect_head(queue_113) = rselect_head(q24),
    inference(demodulation,[status(thm),theory(equality)],[c_11068,c_5545]) ).

tff(c_5747,plain,
    rselect_head(queue_113) = rselect_head(q26),
    inference(superposition,[status(thm),theory(equality)],[c_785,c_5693]) ).

tff(c_11219,plain,
    rselect_head(q26) = rselect_head(q24),
    inference(demodulation,[status(thm),theory(equality)],[c_11218,c_5747]) ).

tff(c_456,plain,
    rstore_seq(q26,earray_118) = queue_119,
    inference(cnfTransformation,[status(thm)],[f_273]) ).

tff(c_5665,plain,
    rselect_head(queue_119) = rselect_head(q26),
    inference(superposition,[status(thm),theory(equality)],[c_456,c_5518]) ).

tff(c_5816,plain,
    rselect_head(queue_119) = rselect_head(q27),
    inference(superposition,[status(thm),theory(equality)],[c_784,c_5693]) ).

tff(c_11201,plain,
    rselect_head(q27) = rselect_head(q26),
    inference(demodulation,[status(thm),theory(equality)],[c_5665,c_5816]) ).

tff(c_460,plain,
    rstore_seq(q27,earray_124) = queue_125,
    inference(cnfTransformation,[status(thm)],[f_275]) ).

tff(c_5569,plain,
    rselect_head(queue_125) = rselect_head(q27),
    inference(superposition,[status(thm),theory(equality)],[c_460,c_5518]) ).

tff(c_5708,plain,
    rselect_head(queue_125) = rselect_head(q28),
    inference(superposition,[status(thm),theory(equality)],[c_783,c_5693]) ).

tff(c_10936,plain,
    rselect_head(q28) = rselect_head(q27),
    inference(demodulation,[status(thm),theory(equality)],[c_5569,c_5708]) ).

tff(c_466,plain,
    rstore_seq(q28,earray_130) = queue_131,
    inference(cnfTransformation,[status(thm)],[f_278]) ).

tff(c_5557,plain,
    rselect_head(queue_131) = rselect_head(q28),
    inference(superposition,[status(thm),theory(equality)],[c_466,c_5518]) ).

tff(c_10937,plain,
    rselect_head(queue_131) = rselect_head(q27),
    inference(demodulation,[status(thm),theory(equality)],[c_10936,c_5557]) ).

tff(c_11210,plain,
    rselect_head(queue_131) = rselect_head(q26),
    inference(demodulation,[status(thm),theory(equality)],[c_11201,c_10937]) ).

tff(c_11262,plain,
    rselect_head(queue_131) = rselect_head(q24),
    inference(demodulation,[status(thm),theory(equality)],[c_11219,c_11210]) ).

tff(c_11331,plain,
    rselect_head(queue_131) = rselect_head(q22),
    inference(demodulation,[status(thm),theory(equality)],[c_11330,c_11262]) ).

tff(c_5777,plain,
    rselect_head(queue_131) = rselect_head(q29),
    inference(superposition,[status(thm),theory(equality)],[c_781,c_5693]) ).

tff(c_11651,plain,
    rselect_head(q29) = rselect_head(q22),
    inference(demodulation,[status(thm),theory(equality)],[c_11331,c_5777]) ).

tff(c_11879,plain,
    rselect_head(q29) = rselect_head(q18),
    inference(demodulation,[status(thm),theory(equality)],[c_11872,c_11651]) ).

tff(c_12400,plain,
    rselect_head(q14) = index_297,
    inference(demodulation,[status(thm),theory(equality)],[c_12126,c_12050,c_11879]) ).

tff(c_4680,plain,
    ! [A_43,E_44] : ( rselect_head(rstore_head(A_43,E_44)) = E_44 ),
    inference(cnfTransformation,[status(thm)],[f_35]) ).

tff(c_4689,plain,
    rselect_head(q0) = index_0,
    inference(superposition,[status(thm),theory(equality)],[c_788,c_4680]) ).

tff(c_602,plain,
    rstore_seq(q0,earray_4) = queue_5,
    inference(cnfTransformation,[status(thm)],[f_346]) ).

tff(c_5635,plain,
    rselect_head(queue_5) = rselect_head(q0),
    inference(superposition,[status(thm),theory(equality)],[c_602,c_5518]) ).

tff(c_5674,plain,
    rselect_head(queue_5) = index_0,
    inference(demodulation,[status(thm),theory(equality)],[c_4689,c_5635]) ).

tff(c_5834,plain,
    rselect_head(queue_5) = rselect_head(q1),
    inference(superposition,[status(thm),theory(equality)],[c_744,c_5693]) ).

tff(c_9489,plain,
    rselect_head(q1) = index_0,
    inference(demodulation,[status(thm),theory(equality)],[c_5674,c_5834]) ).

tff(c_618,plain,
    rstore_seq(q1,earray_70) = queue_71,
    inference(cnfTransformation,[status(thm)],[f_354]) ).

tff(c_5575,plain,
    rselect_head(queue_71) = rselect_head(q1),
    inference(superposition,[status(thm),theory(equality)],[c_618,c_5518]) ).

tff(c_10857,plain,
    rselect_head(queue_71) = index_0,
    inference(demodulation,[status(thm),theory(equality)],[c_9489,c_5575]) ).

tff(c_2337,plain,
    p(index_138) = index_135,
    inference(superposition,[status(thm),theory(equality)],[c_264,c_2211]) ).

tff(c_7993,plain,
    p(index_0) = index_135,
    inference(demodulation,[status(thm),theory(equality)],[c_7943,c_2337]) ).

tff(c_9331,plain,
    index_240 = index_120,
    inference(demodulation,[status(thm),theory(equality)],[c_9320,c_8678]) ).

tff(c_9559,plain,
    index_240 = index_102,
    inference(demodulation,[status(thm),theory(equality)],[c_9525,c_9331]) ).

tff(c_10017,plain,
    index_240 = index_0,
    inference(demodulation,[status(thm),theory(equality)],[c_10007,c_9559]) ).

tff(c_2280,plain,
    p(index_240) = index_237,
    inference(superposition,[status(thm),theory(equality)],[c_340,c_2211]) ).

tff(c_8675,plain,
    p(index_240) = index_174,
    inference(demodulation,[status(thm),theory(equality)],[c_8667,c_2280]) ).

tff(c_10328,plain,
    index_135 = index_114,
    inference(demodulation,[status(thm),theory(equality)],[c_7993,c_10017,c_9344,c_8675]) ).

tff(c_4100,plain,
    rstore_tail(queue_71,index_135) = q2,
    inference(demodulation,[status(thm),theory(equality)],[c_4096,c_743]) ).

tff(c_11424,plain,
    rstore_tail(queue_71,index_114) = q2,
    inference(demodulation,[status(thm),theory(equality)],[c_10328,c_4100]) ).

tff(c_16,plain,
    ! [A_18,E_19] : ( rselect_head(rstore_tail(A_18,E_19)) = rselect_head(A_18) ),
    inference(cnfTransformation,[status(thm)],[f_43]) ).

tff(c_11428,plain,
    rselect_head(queue_71) = rselect_head(q2),
    inference(superposition,[status(thm),theory(equality)],[c_11424,c_16]) ).

tff(c_11437,plain,
    rselect_head(q2) = index_0,
    inference(demodulation,[status(thm),theory(equality)],[c_10857,c_11428]) ).

tff(c_470,plain,
    rstore_seq(q2,earray_136) = queue_137,
    inference(cnfTransformation,[status(thm)],[f_280]) ).

tff(c_5617,plain,
    rselect_head(queue_137) = rselect_head(q2),
    inference(superposition,[status(thm),theory(equality)],[c_470,c_5518]) ).

tff(c_11602,plain,
    rselect_head(queue_137) = index_0,
    inference(demodulation,[status(thm),theory(equality)],[c_11437,c_5617]) ).

tff(c_5843,plain,
    rselect_head(queue_137) = rselect_head(q3),
    inference(superposition,[status(thm),theory(equality)],[c_780,c_5693]) ).

tff(c_11603,plain,
    rselect_head(q3) = index_0,
    inference(demodulation,[status(thm),theory(equality)],[c_11602,c_5843]) ).

tff(c_574,plain,
    rstore_seq(q6,earray_280) = queue_281,
    inference(cnfTransformation,[status(thm)],[f_332]) ).

tff(c_5584,plain,
    rselect_head(queue_281) = rselect_head(q6),
    inference(superposition,[status(thm),theory(equality)],[c_574,c_5518]) ).

tff(c_5840,plain,
    rselect_head(queue_281) = rselect_head(q7),
    inference(superposition,[status(thm),theory(equality)],[c_754,c_5693]) ).

tff(c_11027,plain,
    rselect_head(q7) = rselect_head(q6),
    inference(demodulation,[status(thm),theory(equality)],[c_5584,c_5840]) ).

tff(c_578,plain,
    rstore_seq(q7,earray_286) = queue_287,
    inference(cnfTransformation,[status(thm)],[f_334]) ).

tff(c_5629,plain,
    rselect_head(queue_287) = rselect_head(q7),
    inference(superposition,[status(thm),theory(equality)],[c_578,c_5518]) ).

tff(c_5819,plain,
    rselect_head(queue_287) = rselect_head(q8),
    inference(superposition,[status(thm),theory(equality)],[c_753,c_5693]) ).

tff(c_10559,plain,
    rselect_head(q8) = rselect_head(q7),
    inference(demodulation,[status(thm),theory(equality)],[c_5629,c_5819]) ).

tff(c_11028,plain,
    rselect_head(q8) = rselect_head(q6),
    inference(demodulation,[status(thm),theory(equality)],[c_11027,c_10559]) ).

tff(c_584,plain,
    rstore_seq(q8,earray_292) = queue_293,
    inference(cnfTransformation,[status(thm)],[f_337]) ).

tff(c_5602,plain,
    rselect_head(queue_293) = rselect_head(q8),
    inference(superposition,[status(thm),theory(equality)],[c_584,c_5518]) ).

tff(c_11369,plain,
    rselect_head(queue_293) = rselect_head(q6),
    inference(demodulation,[status(thm),theory(equality)],[c_11028,c_5602]) ).

tff(c_5738,plain,
    rselect_head(queue_293) = rselect_head(q9),
    inference(superposition,[status(thm),theory(equality)],[c_752,c_5693]) ).

tff(c_11370,plain,
    rselect_head(q9) = rselect_head(q6),
    inference(demodulation,[status(thm),theory(equality)],[c_11369,c_5738]) ).

tff(c_5744,plain,
    rselect_head(queue_11) = rselect_head(q10),
    inference(superposition,[status(thm),theory(equality)],[c_782,c_5693]) ).

tff(c_450,plain,
    rstore_seq(q9,earray_10) = queue_11,
    inference(cnfTransformation,[status(thm)],[f_270]) ).

tff(c_5539,plain,
    rselect_head(queue_11) = rselect_head(q9),
    inference(superposition,[status(thm),theory(equality)],[c_450,c_5518]) ).

tff(c_11513,plain,
    rselect_head(q6) = rselect_head(q10),
    inference(demodulation,[status(thm),theory(equality)],[c_11370,c_5744,c_5539]) ).

tff(c_518,plain,
    rstore_seq(q3,earray_202) = queue_203,
    inference(cnfTransformation,[status(thm)],[f_304]) ).

tff(c_5659,plain,
    rselect_head(queue_203) = rselect_head(q3),
    inference(superposition,[status(thm),theory(equality)],[c_518,c_5518]) ).

tff(c_5828,plain,
    rselect_head(queue_203) = rselect_head(q4),
    inference(superposition,[status(thm),theory(equality)],[c_768,c_5693]) ).

tff(c_11267,plain,
    rselect_head(q4) = rselect_head(q3),
    inference(demodulation,[status(thm),theory(equality)],[c_5659,c_5828]) ).

tff(c_566,plain,
    rstore_seq(q4,earray_268) = queue_269,
    inference(cnfTransformation,[status(thm)],[f_328]) ).

tff(c_5551,plain,
    rselect_head(queue_269) = rselect_head(q4),
    inference(superposition,[status(thm),theory(equality)],[c_566,c_5518]) ).

tff(c_5837,plain,
    rselect_head(queue_269) = rselect_head(q5),
    inference(superposition,[status(thm),theory(equality)],[c_756,c_5693]) ).

tff(c_11099,plain,
    rselect_head(q5) = rselect_head(q4),
    inference(demodulation,[status(thm),theory(equality)],[c_5551,c_5837]) ).

tff(c_11268,plain,
    rselect_head(q5) = rselect_head(q3),
    inference(demodulation,[status(thm),theory(equality)],[c_11267,c_11099]) ).

tff(c_570,plain,
    rstore_seq(q5,earray_274) = queue_275,
    inference(cnfTransformation,[status(thm)],[f_330]) ).

tff(c_5527,plain,
    rselect_head(queue_275) = rselect_head(q5),
    inference(superposition,[status(thm),theory(equality)],[c_570,c_5518]) ).

tff(c_11459,plain,
    rselect_head(queue_275) = rselect_head(q3),
    inference(demodulation,[status(thm),theory(equality)],[c_11268,c_5527]) ).

tff(c_5825,plain,
    rselect_head(queue_275) = rselect_head(q6),
    inference(superposition,[status(thm),theory(equality)],[c_755,c_5693]) ).

tff(c_11460,plain,
    rselect_head(q6) = rselect_head(q3),
    inference(demodulation,[status(thm),theory(equality)],[c_11459,c_5825]) ).

tff(c_12181,plain,
    rselect_head(q10) = index_0,
    inference(demodulation,[status(thm),theory(equality)],[c_11603,c_11513,c_11460]) ).

tff(c_494,plain,
    rstore_seq(q10,earray_16) = queue_17,
    inference(cnfTransformation,[status(thm)],[f_292]) ).

tff(c_5605,plain,
    rselect_head(queue_17) = rselect_head(q10),
    inference(superposition,[status(thm),theory(equality)],[c_494,c_5518]) ).

tff(c_5720,plain,
    rselect_head(queue_17) = rselect_head(q11),
    inference(superposition,[status(thm),theory(equality)],[c_771,c_5693]) ).

tff(c_11124,plain,
    rselect_head(q11) = rselect_head(q10),
    inference(demodulation,[status(thm),theory(equality)],[c_5605,c_5720]) ).

tff(c_538,plain,
    rstore_seq(q11,earray_22) = queue_23,
    inference(cnfTransformation,[status(thm)],[f_314]) ).

tff(c_5563,plain,
    rselect_head(queue_23) = rselect_head(q11),
    inference(superposition,[status(thm),theory(equality)],[c_538,c_5518]) ).

tff(c_11125,plain,
    rselect_head(queue_23) = rselect_head(q10),
    inference(demodulation,[status(thm),theory(equality)],[c_11124,c_5563]) ).

tff(c_5756,plain,
    rselect_head(queue_23) = rselect_head(q12),
    inference(superposition,[status(thm),theory(equality)],[c_760,c_5693]) ).

tff(c_11978,plain,
    rselect_head(q12) = rselect_head(q10),
    inference(demodulation,[status(thm),theory(equality)],[c_11125,c_5756]) ).

tff(c_582,plain,
    rstore_seq(q12,earray_28) = queue_29,
    inference(cnfTransformation,[status(thm)],[f_336]) ).

tff(c_5608,plain,
    rselect_head(queue_29) = rselect_head(q12),
    inference(superposition,[status(thm),theory(equality)],[c_582,c_5518]) ).

tff(c_5729,plain,
    rselect_head(queue_29) = rselect_head(q13),
    inference(superposition,[status(thm),theory(equality)],[c_751,c_5693]) ).

tff(c_11402,plain,
    rselect_head(q13) = rselect_head(q12),
    inference(demodulation,[status(thm),theory(equality)],[c_5608,c_5729]) ).

tff(c_590,plain,
    rstore_seq(q13,earray_34) = queue_35,
    inference(cnfTransformation,[status(thm)],[f_340]) ).

tff(c_5554,plain,
    rselect_head(queue_35) = rselect_head(q13),
    inference(superposition,[status(thm),theory(equality)],[c_590,c_5518]) ).

tff(c_5813,plain,
    rselect_head(queue_35) = rselect_head(q14),
    inference(superposition,[status(thm),theory(equality)],[c_750,c_5693]) ).

tff(c_11533,plain,
    rselect_head(q14) = rselect_head(q13),
    inference(demodulation,[status(thm),theory(equality)],[c_5554,c_5813]) ).

tff(c_11711,plain,
    rselect_head(q14) = rselect_head(q12),
    inference(demodulation,[status(thm),theory(equality)],[c_11402,c_11533]) ).

tff(c_11985,plain,
    rselect_head(q14) = rselect_head(q10),
    inference(demodulation,[status(thm),theory(equality)],[c_11978,c_11711]) ).

tff(c_12562,plain,
    index_297 = index_0,
    inference(demodulation,[status(thm),theory(equality)],[c_12400,c_12181,c_11985]) ).

tff(c_232,plain,
    select(earray_296,index_297) = elem_298,
    inference(cnfTransformation,[status(thm)],[f_161]) ).

tff(c_5900,plain,
    select(earray_262,index_297) = elem_298,
    inference(demodulation,[status(thm),theory(equality)],[c_5245,c_232]) ).

tff(c_12623,plain,
    select(earray_262,index_0) = elem_298,
    inference(demodulation,[status(thm),theory(equality)],[c_12562,c_5900]) ).

tff(c_13873,plain,
    elem_298 = e48,
    inference(demodulation,[status(thm),theory(equality)],[c_13720,c_12623]) ).

tff(c_13874,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_13721,c_13873]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWV570-1.049 : TPTP v8.1.2. Bugfixed v5.0.0.
% 0.00/0.13  % 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
% 0.13/0.33  % Computer : n022.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Thu Aug  3 22:31:18 EDT 2023
% 0.13/0.33  % CPUTime  : 
% 24.01/11.39  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 24.32/11.52  
% 24.32/11.52  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 24.46/11.61  
% 24.46/11.61  Inference rules
% 24.46/11.61  ----------------------
% 24.46/11.61  #Ref     : 0
% 24.46/11.61  #Sup     : 4612
% 24.46/11.61  #Fact    : 0
% 24.46/11.61  #Define  : 0
% 24.46/11.61  #Split   : 0
% 24.46/11.61  #Chain   : 0
% 24.46/11.61  #Close   : 0
% 24.46/11.61  
% 24.46/11.61  Ordering : KBO
% 24.46/11.61  
% 24.46/11.61  Simplification rules
% 24.46/11.61  ----------------------
% 24.46/11.61  #Subsume      : 513
% 24.46/11.61  #Demod        : 3153
% 24.46/11.61  #Tautology    : 3730
% 24.46/11.61  #SimpNegUnit  : 1
% 24.46/11.61  #BackRed      : 1288
% 24.46/11.61  
% 24.46/11.61  #Partial instantiations: 0
% 24.46/11.61  #Strategies tried      : 1
% 24.46/11.61  
% 24.46/11.61  Timing (in seconds)
% 24.46/11.61  ----------------------
% 24.46/11.62  Preprocessing        : 0.89
% 24.46/11.62  Parsing              : 0.45
% 24.46/11.62  CNF conversion       : 0.06
% 24.46/11.62  Main loop            : 9.48
% 24.46/11.62  Inferencing          : 2.61
% 24.46/11.62  Reduction            : 4.27
% 24.46/11.62  Demodulation         : 3.16
% 24.46/11.62  BG Simplification    : 0.08
% 24.46/11.62  Subsumption          : 1.84
% 24.46/11.62  Abstraction          : 0.08
% 24.46/11.62  MUC search           : 0.00
% 24.46/11.62  Cooper               : 0.00
% 24.46/11.62  Total                : 10.61
% 24.46/11.62  Index Insertion      : 0.00
% 24.46/11.62  Index Deletion       : 0.00
% 24.46/11.62  Index Matching       : 0.00
% 24.46/11.62  BG Taut test         : 0.00
%------------------------------------------------------------------------------