%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SWV569-1.030 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n028.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 : Thu Apr 10 02:51:33 AM UTC 2025
% Result : Unsatisfiable 86.45s 57.35s
% Output : CNFRefutation 87.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 250
% Syntax : Number of formulae : 1675 (1162 unt; 0 typ; 0 def)
% Number of atoms : 2557 (2548 equ)
% Maximal formula atoms : 12 ( 1 avg)
% Number of connectives : 984 ( 102 ~; 882 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 2 avg)
% Maximal term depth : 39 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 283 ( 283 usr; 280 con; 0-3 aty)
% Number of variables : 297 ( 297 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ store > select > #nlpp > s > tail > seq > queue_97 > queue_94 > queue_92 > queue_88 > queue_86 > queue_82 > queue_80 > queue_76 > queue_74 > queue_70 > queue_7 > queue_67 > queue_65 > queue_61 > queue_59 > queue_55 > queue_53 > queue_5 > queue_49 > queue_46 > queue_44 > queue_40 > queue_38 > queue_34 > queue_32 > queue_28 > queue_25 > queue_23 > queue_211 > queue_208 > queue_206 > queue_202 > queue_200 > queue_196 > queue_194 > queue_190 > queue_19 > queue_187 > queue_185 > queue_181 > queue_179 > queue_175 > queue_173 > queue_17 > queue_169 > queue_166 > queue_164 > queue_160 > queue_157 > queue_155 > queue_151 > queue_149 > queue_145 > queue_143 > queue_139 > queue_136 > queue_134 > queue_130 > queue_13 > queue_128 > queue_124 > queue_122 > queue_118 > queue_115 > queue_113 > queue_11 > queue_109 > queue_107 > queue_103 > queue_101 > queue_1 > q9 > q8 > q7 > q6 > q5 > q4 > 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_95 > index_93 > index_90 > index_9 > index_87 > index_84 > index_81 > index_78 > index_75 > index_72 > index_69 > index_68 > index_66 > index_63 > index_60 > index_6 > index_57 > index_54 > index_51 > index_48 > index_47 > index_45 > index_42 > index_39 > index_36 > index_33 > index_30 > index_3 > index_27 > index_26 > index_24 > index_213 > index_210 > index_21 > index_209 > index_207 > index_204 > index_201 > index_198 > index_195 > index_192 > index_189 > index_188 > index_186 > index_183 > index_180 > index_18 > index_177 > index_174 > index_171 > index_168 > index_167 > index_165 > index_162 > index_159 > index_158 > index_156 > index_153 > index_150 > index_15 > index_147 > index_144 > index_141 > index_138 > index_137 > index_135 > index_132 > index_129 > index_126 > index_123 > index_120 > index_12 > index_117 > index_116 > index_114 > index_111 > index_108 > index_105 > index_102 > index_0 > head > elem_214 > earray_98 > earray_91 > earray_89 > earray_85 > earray_83 > earray_8 > earray_79 > earray_77 > earray_73 > earray_71 > earray_64 > earray_62 > earray_58 > earray_56 > earray_52 > earray_50 > earray_43 > earray_41 > earray_4 > earray_37 > earray_35 > earray_31 > earray_29 > earray_22 > earray_212 > earray_205 > earray_203 > earray_20 > earray_2 > earray_199 > earray_197 > earray_193 > earray_191 > earray_184 > earray_182 > earray_178 > earray_176 > earray_172 > earray_170 > earray_163 > earray_161 > earray_16 > earray_154 > earray_152 > earray_148 > earray_146 > earray_142 > earray_140 > earray_14 > earray_133 > earray_131 > earray_127 > earray_125 > earray_121 > earray_119 > earray_112 > earray_110 > earray_106 > earray_104 > earray_100 > earray_10 > e9 > e8 > e7 > e6 > e5 > e4 > e3 > e29 > e28 > e27 > e26 > e25 > e24 > e23 > e22 > e21 > e20 > e2 > e19 > e18 > e17 > e16 > e15 > e14 > e13 > e12 > e11 > e10 > e1 > e0
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(e29,type,
e29: $i ).
tff(index_75,type,
index_75: $i ).
tff(earray_172,type,
earray_172: $i ).
tff(q4,type,
q4: $i ).
tff(q9,type,
q9: $i ).
tff(index_90,type,
index_90: $i ).
tff(earray_98,type,
earray_98: $i ).
tff(q16,type,
q16: $i ).
tff(earray_8,type,
earray_8: $i ).
tff(q3,type,
q3: $i ).
tff(index_6,type,
index_6: $i ).
tff(earray_163,type,
earray_163: $i ).
tff(seq,type,
seq: $i ).
tff(q7,type,
q7: $i ).
tff(e1,type,
e1: $i ).
tff(earray_16,type,
earray_16: $i ).
tff(earray_52,type,
earray_52: $i ).
tff(index_30,type,
index_30: $i ).
tff(e8,type,
e8: $i ).
tff(queue_13,type,
queue_13: $i ).
tff(earray_142,type,
earray_142: $i ).
tff(elem_214,type,
elem_214: $i ).
tff(earray_20,type,
earray_20: $i ).
tff(earray_133,type,
earray_133: $i ).
tff(index_99,type,
index_99: $i ).
tff(queue_70,type,
queue_70: $i ).
tff(earray_125,type,
earray_125: $i ).
tff(e21,type,
e21: $i ).
tff(queue_101,type,
queue_101: $i ).
tff(tail,type,
tail: $i ).
tff(index_48,type,
index_48: $i ).
tff(q20,type,
q20: $i ).
tff(queue_136,type,
queue_136: $i ).
tff(index_51,type,
index_51: $i ).
tff(queue_211,type,
queue_211: $i ).
tff(e15,type,
e15: $i ).
tff(earray_176,type,
earray_176: $i ).
tff(queue_65,type,
queue_65: $i ).
tff(queue_175,type,
queue_175: $i ).
tff(earray_50,type,
earray_50: $i ).
tff(queue_196,type,
queue_196: $i ).
tff(earray_197,type,
earray_197: $i ).
tff(q5,type,
q5: $i ).
tff(index_81,type,
index_81: $i ).
tff(queue_7,type,
queue_7: $i ).
tff(index_123,type,
index_123: $i ).
tff(queue_124,type,
queue_124: $i ).
tff(earray_4,type,
earray_4: $i ).
tff(queue_113,type,
queue_113: $i ).
tff(queue_32,type,
queue_32: $i ).
tff(index_102,type,
index_102: $i ).
tff(queue_149,type,
queue_149: $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(e18,type,
e18: $i ).
tff(queue_166,type,
queue_166: $i ).
tff(queue_38,type,
queue_38: $i ).
tff(q23,type,
q23: $i ).
tff(index_96,type,
index_96: $i ).
tff(earray_14,type,
earray_14: $i ).
tff(e24,type,
e24: $i ).
tff(index_15,type,
index_15: $i ).
tff(index_27,type,
index_27: $i ).
tff(q2,type,
q2: $i ).
tff(index_195,type,
index_195: $i ).
tff(earray_112,type,
earray_112: $i ).
tff(index_138,type,
index_138: $i ).
tff(queue_128,type,
queue_128: $i ).
tff(queue_1,type,
queue_1: $i ).
tff(q10,type,
q10: $i ).
tff(q24,type,
q24: $i ).
tff(index_177,type,
index_177: $i ).
tff(store,type,
store: ( $i * $i * $i ) > $i ).
tff(index_108,type,
index_108: $i ).
tff(index_129,type,
index_129: $i ).
tff(queue_109,type,
queue_109: $i ).
tff(q1,type,
q1: $i ).
tff(index_213,type,
index_213: $i ).
tff(e20,type,
e20: $i ).
tff(earray_62,type,
earray_62: $i ).
tff(e19,type,
e19: $i ).
tff(e16,type,
e16: $i ).
tff(index_95,type,
index_95: $i ).
tff(queue_118,type,
queue_118: $i ).
tff(queue_76,type,
queue_76: $i ).
tff(earray_161,type,
earray_161: $i ).
tff(earray_203,type,
earray_203: $i ).
tff(q0,type,
q0: $i ).
tff(e2,type,
e2: $i ).
tff(index_63,type,
index_63: $i ).
tff(index_158,type,
index_158: $i ).
tff(index_42,type,
index_42: $i ).
tff(queue_169,type,
queue_169: $i ).
tff(earray_2,type,
earray_2: $i ).
tff(queue_82,type,
queue_82: $i ).
tff(q8,type,
q8: $i ).
tff(index_159,type,
index_159: $i ).
tff(queue_80,type,
queue_80: $i ).
tff(earray_85,type,
earray_85: $i ).
tff(index_54,type,
index_54: $i ).
tff(earray_191,type,
earray_191: $i ).
tff(queue_206,type,
queue_206: $i ).
tff(earray_205,type,
earray_205: $i ).
tff(e13,type,
e13: $i ).
tff(queue_179,type,
queue_179: $i ).
tff(earray_29,type,
earray_29: $i ).
tff(q26,type,
q26: $i ).
tff(queue_74,type,
queue_74: $i ).
tff(index_47,type,
index_47: $i ).
tff(earray_127,type,
earray_127: $i ).
tff(queue_194,type,
queue_194: $i ).
tff(queue_185,type,
queue_185: $i ).
tff(e22,type,
e22: $i ).
tff(index_144,type,
index_144: $i ).
tff(index_188,type,
index_188: $i ).
tff(index_3,type,
index_3: $i ).
tff(q18,type,
q18: $i ).
tff(q14,type,
q14: $i ).
tff(index_84,type,
index_84: $i ).
tff(index_186,type,
index_186: $i ).
tff(q22,type,
q22: $i ).
tff(earray_77,type,
earray_77: $i ).
tff(queue_208,type,
queue_208: $i ).
tff(e9,type,
e9: $i ).
tff(index_105,type,
index_105: $i ).
tff(index_141,type,
index_141: $i ).
tff(q15,type,
q15: $i ).
tff(earray_56,type,
earray_56: $i ).
tff(index_24,type,
index_24: $i ).
tff(queue_155,type,
queue_155: $i ).
tff(earray_73,type,
earray_73: $i ).
tff(index_165,type,
index_165: $i ).
tff(index_201,type,
index_201: $i ).
tff(index_87,type,
index_87: $i ).
tff(e25,type,
e25: $i ).
tff(queue_97,type,
queue_97: $i ).
tff(e26,type,
e26: $i ).
tff(queue_19,type,
queue_19: $i ).
tff(queue_173,type,
queue_173: $i ).
tff(q27,type,
q27: $i ).
tff(index_78,type,
index_78: $i ).
tff(queue_160,type,
queue_160: $i ).
tff(index_93,type,
index_93: $i ).
tff(earray_89,type,
earray_89: $i ).
tff(index_33,type,
index_33: $i ).
tff(earray_104,type,
earray_104: $i ).
tff(queue_11,type,
queue_11: $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(index_68,type,
index_68: $i ).
tff(e27,type,
e27: $i ).
tff(earray_35,type,
earray_35: $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(queue_86,type,
queue_86: $i ).
tff(index_171,type,
index_171: $i ).
tff(earray_10,type,
earray_10: $i ).
tff(index_18,type,
index_18: $i ).
tff(queue_44,type,
queue_44: $i ).
tff(earray_131,type,
earray_131: $i ).
tff(q30,type,
q30: $i ).
tff(queue_107,type,
queue_107: $i ).
tff(index_150,type,
index_150: $i ).
tff(earray_31,type,
earray_31: $i ).
tff(index_189,type,
index_189: $i ).
tff(index_174,type,
index_174: $i ).
tff(index_207,type,
index_207: $i ).
tff(index_153,type,
index_153: $i ).
tff(earray_43,type,
earray_43: $i ).
tff(earray_193,type,
earray_193: $i ).
tff(q13,type,
q13: $i ).
tff(queue_67,type,
queue_67: $i ).
tff(index_116,type,
index_116: $i ).
tff(index_126,type,
index_126: $i ).
tff(queue_5,type,
queue_5: $i ).
tff(index_167,type,
index_167: $i ).
tff(queue_61,type,
queue_61: $i ).
tff(queue_25,type,
queue_25: $i ).
tff(index_72,type,
index_72: $i ).
tff(queue_190,type,
queue_190: $i ).
tff(queue_151,type,
queue_151: $i ).
tff(earray_22,type,
earray_22: $i ).
tff(index_183,type,
index_183: $i ).
tff(queue_92,type,
queue_92: $i ).
tff(earray_121,type,
earray_121: $i ).
tff(index_132,type,
index_132: $i ).
tff(earray_146,type,
earray_146: $i ).
tff(queue_157,type,
queue_157: $i ).
tff(earray_37,type,
earray_37: $i ).
tff(queue_40,type,
queue_40: $i ).
tff(index_21,type,
index_21: $i ).
tff(earray_184,type,
earray_184: $i ).
tff(earray_152,type,
earray_152: $i ).
tff(select,type,
select: ( $i * $i ) > $i ).
tff(queue_134,type,
queue_134: $i ).
tff(earray_110,type,
earray_110: $i ).
tff(index_209,type,
index_209: $i ).
tff(queue_88,type,
queue_88: $i ).
tff(index_66,type,
index_66: $i ).
tff(earray_148,type,
earray_148: $i ).
tff(index_12,type,
index_12: $i ).
tff(head,type,
head: $i ).
tff(index_26,type,
index_26: $i ).
tff(earray_100,type,
earray_100: $i ).
tff(q,type,
q: $i ).
tff(queue_59,type,
queue_59: $i ).
tff(q19,type,
q19: $i ).
tff(queue_115,type,
queue_115: $i ).
tff(queue_94,type,
queue_94: $i ).
tff(index_198,type,
index_198: $i ).
tff(queue_49,type,
queue_49: $i ).
tff(queue_200,type,
queue_200: $i ).
tff(index_137,type,
index_137: $i ).
tff(index_57,type,
index_57: $i ).
tff(earray_140,type,
earray_140: $i ).
tff(e23,type,
e23: $i ).
tff(index_162,type,
index_162: $i ).
tff(earray_58,type,
earray_58: $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(earray_154,type,
earray_154: $i ).
tff(earray_199,type,
earray_199: $i ).
tff(queue_23,type,
queue_23: $i ).
tff(queue_28,type,
queue_28: $i ).
tff(q12,type,
q12: $i ).
tff(queue_139,type,
queue_139: $i ).
tff(earray_119,type,
earray_119: $i ).
tff(queue_145,type,
queue_145: $i ).
tff(earray_83,type,
earray_83: $i ).
tff(e12,type,
e12: $i ).
tff(e4,type,
e4: $i ).
tff(queue_130,type,
queue_130: $i ).
tff(index_111,type,
index_111: $i ).
tff(earray_41,type,
earray_41: $i ).
tff(earray_178,type,
earray_178: $i ).
tff(index_9,type,
index_9: $i ).
tff(q28,type,
q28: $i ).
tff(earray_182,type,
earray_182: $i ).
tff(index_180,type,
index_180: $i ).
tff(index_36,type,
index_36: $i ).
tff(index_156,type,
index_156: $i ).
tff(index_210,type,
index_210: $i ).
tff(index_60,type,
index_60: $i ).
tff(queue_53,type,
queue_53: $i ).
tff(q11,type,
q11: $i ).
tff(e6,type,
e6: $i ).
tff(queue_122,type,
queue_122: $i ).
tff(e11,type,
e11: $i ).
tff(e28,type,
e28: $i ).
tff(index_168,type,
index_168: $i ).
tff(e3,type,
e3: $i ).
tff(queue_181,type,
queue_181: $i ).
tff(earray_79,type,
earray_79: $i ).
tff(queue_164,type,
queue_164: $i ).
tff(earray_71,type,
earray_71: $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(earray_91,type,
earray_91: $i ).
tff(queue_143,type,
queue_143: $i ).
tff(queue_187,type,
queue_187: $i ).
tff(queue_202,type,
queue_202: $i ).
tff(queue_34,type,
queue_34: $i ).
tff(queue_46,type,
queue_46: $i ).
tff(index_69,type,
index_69: $i ).
tff(queue_17,type,
queue_17: $i ).
tff(q6,type,
q6: $i ).
tff(f_403,axiom,
q10 = queue_13,
file(unknown,unknown) ).
tff(f_342,axiom,
queue_13 = store(queue_11,tail,index_12),
file(unknown,unknown) ).
tff(f_25,axiom,
! [A,I,E] : ( select(store(A,I,E),I) = E ),
file(unknown,unknown) ).
tff(f_268,axiom,
index_15 = select(q10,tail),
file(unknown,unknown) ).
tff(f_281,axiom,
index_18 = s(index_15),
file(unknown,unknown) ).
tff(f_185,axiom,
! [X] : ( s(X) != X ),
file(unknown,unknown) ).
tff(f_31,axiom,
head != tail,
file(unknown,unknown) ).
tff(f_301,axiom,
index_30 = select(q12,tail),
file(unknown,unknown) ).
tff(f_405,axiom,
q12 = queue_28,
file(unknown,unknown) ).
tff(f_375,axiom,
queue_28 = store(queue_25,head,index_27),
file(unknown,unknown) ).
tff(f_29,axiom,
! [I,J,A,E] :
( ( I = J )
| ( select(store(A,I,E),J) = select(A,J) ) ),
file(unknown,unknown) ).
tff(f_374,axiom,
queue_25 = store(queue_23,tail,index_24),
file(unknown,unknown) ).
tff(f_302,axiom,
index_33 = s(index_30),
file(unknown,unknown) ).
tff(f_404,axiom,
q11 = queue_19,
file(unknown,unknown) ).
tff(f_364,axiom,
queue_19 = store(queue_17,tail,index_18),
file(unknown,unknown) ).
tff(f_294,axiom,
index_21 = select(q11,tail),
file(unknown,unknown) ).
tff(f_297,axiom,
index_24 = s(index_21),
file(unknown,unknown) ).
tff(f_179,axiom,
! [X] : ( s(s(s(X))) != X ),
file(unknown,unknown) ).
tff(f_406,axiom,
q13 = queue_34,
file(unknown,unknown) ).
tff(f_377,axiom,
queue_34 = store(queue_32,tail,index_33),
file(unknown,unknown) ).
tff(f_303,axiom,
index_36 = select(q13,tail),
file(unknown,unknown) ).
tff(f_304,axiom,
index_39 = s(index_36),
file(unknown,unknown) ).
tff(f_176,axiom,
! [X] : ( s(s(s(s(X)))) != X ),
file(unknown,unknown) ).
tff(f_309,axiom,
index_51 = select(q15,tail),
file(unknown,unknown) ).
tff(f_408,axiom,
q15 = queue_49,
file(unknown,unknown) ).
tff(f_382,axiom,
queue_49 = store(queue_46,head,index_48),
file(unknown,unknown) ).
tff(f_381,axiom,
queue_46 = store(queue_44,tail,index_45),
file(unknown,unknown) ).
tff(f_310,axiom,
index_54 = s(index_51),
file(unknown,unknown) ).
tff(f_407,axiom,
q14 = queue_40,
file(unknown,unknown) ).
tff(f_379,axiom,
queue_40 = store(queue_38,tail,index_39),
file(unknown,unknown) ).
tff(f_305,axiom,
index_42 = select(q14,tail),
file(unknown,unknown) ).
tff(f_306,axiom,
index_45 = s(index_42),
file(unknown,unknown) ).
tff(f_170,axiom,
! [X] : ( s(s(s(s(s(s(X)))))) != X ),
file(unknown,unknown) ).
tff(f_318,axiom,
index_72 = select(q18,tail),
file(unknown,unknown) ).
tff(f_411,axiom,
q18 = queue_70,
file(unknown,unknown) ).
tff(f_391,axiom,
queue_70 = store(queue_67,head,index_69),
file(unknown,unknown) ).
tff(f_389,axiom,
queue_67 = store(queue_65,tail,index_66),
file(unknown,unknown) ).
tff(f_319,axiom,
index_75 = s(index_72),
file(unknown,unknown) ).
tff(f_410,axiom,
q17 = queue_61,
file(unknown,unknown) ).
tff(f_387,axiom,
queue_61 = store(queue_59,tail,index_60),
file(unknown,unknown) ).
tff(f_314,axiom,
index_63 = select(q17,tail),
file(unknown,unknown) ).
tff(f_315,axiom,
index_66 = s(index_63),
file(unknown,unknown) ).
tff(f_409,axiom,
q16 = queue_55,
file(unknown,unknown) ).
tff(f_385,axiom,
queue_55 = store(queue_53,tail,index_54),
file(unknown,unknown) ).
tff(f_311,axiom,
index_57 = select(q16,tail),
file(unknown,unknown) ).
tff(f_313,axiom,
index_60 = s(index_57),
file(unknown,unknown) ).
tff(f_161,axiom,
! [X] : ( s(s(s(s(s(s(s(s(s(X))))))))) != X ),
file(unknown,unknown) ).
tff(f_414,axiom,
q20 = queue_88,
file(unknown,unknown) ).
tff(f_397,axiom,
queue_88 = store(queue_86,tail,index_87),
file(unknown,unknown) ).
tff(f_325,axiom,
index_90 = select(q20,tail),
file(unknown,unknown) ).
tff(f_326,axiom,
index_93 = s(index_90),
file(unknown,unknown) ).
tff(f_412,axiom,
q19 = queue_76,
file(unknown,unknown) ).
tff(f_393,axiom,
queue_76 = store(queue_74,tail,index_75),
file(unknown,unknown) ).
tff(f_322,axiom,
index_84 = select(q19,tail),
file(unknown,unknown) ).
tff(f_323,axiom,
index_87 = s(index_84),
file(unknown,unknown) ).
tff(f_155,axiom,
! [X] : ( s(s(s(s(s(s(s(s(s(s(s(X))))))))))) != X ),
file(unknown,unknown) ).
tff(f_158,axiom,
! [X] : ( s(s(s(s(s(s(s(s(s(s(X)))))))))) != X ),
file(unknown,unknown) ).
tff(f_164,axiom,
! [X] : ( s(s(s(s(s(s(s(s(X)))))))) != X ),
file(unknown,unknown) ).
tff(f_167,axiom,
! [X] : ( s(s(s(s(s(s(s(X))))))) != X ),
file(unknown,unknown) ).
tff(f_173,axiom,
! [X] : ( s(s(s(s(s(X))))) != X ),
file(unknown,unknown) ).
tff(f_182,axiom,
! [X] : ( s(s(X)) != X ),
file(unknown,unknown) ).
tff(f_433,axiom,
elem_214 != e10,
file(unknown,unknown) ).
tff(f_33,axiom,
head != seq,
file(unknown,unknown) ).
tff(f_418,axiom,
q24 = queue_118,
file(unknown,unknown) ).
tff(f_338,axiom,
queue_118 = store(queue_115,head,index_117),
file(unknown,unknown) ).
tff(f_419,axiom,
q25 = queue_124,
file(unknown,unknown) ).
tff(f_340,axiom,
queue_124 = store(queue_122,tail,index_123),
file(unknown,unknown) ).
tff(f_339,axiom,
queue_122 = store(q24,seq,earray_121),
file(unknown,unknown) ).
tff(f_420,axiom,
q26 = queue_130,
file(unknown,unknown) ).
tff(f_343,axiom,
queue_130 = store(queue_128,tail,index_129),
file(unknown,unknown) ).
tff(f_341,axiom,
queue_128 = store(q25,seq,earray_127),
file(unknown,unknown) ).
tff(f_344,axiom,
queue_134 = store(q26,seq,earray_133),
file(unknown,unknown) ).
tff(f_345,axiom,
queue_136 = store(queue_134,tail,index_135),
file(unknown,unknown) ).
tff(f_263,axiom,
index_137 = select(queue_136,head),
file(unknown,unknown) ).
tff(f_264,axiom,
index_138 = s(index_137),
file(unknown,unknown) ).
tff(f_255,axiom,
index_117 = s(index_116),
file(unknown,unknown) ).
tff(f_427,axiom,
q5 = queue_181,
file(unknown,unknown) ).
tff(f_361,axiom,
queue_181 = store(queue_179,tail,index_180),
file(unknown,unknown) ).
tff(f_283,axiom,
index_183 = select(q5,tail),
file(unknown,unknown) ).
tff(f_284,axiom,
index_186 = s(index_183),
file(unknown,unknown) ).
tff(f_426,axiom,
q4 = queue_175,
file(unknown,unknown) ).
tff(f_359,axiom,
queue_175 = store(queue_173,tail,index_174),
file(unknown,unknown) ).
tff(f_280,axiom,
index_177 = select(q4,tail),
file(unknown,unknown) ).
tff(f_282,axiom,
index_180 = s(index_177),
file(unknown,unknown) ).
tff(f_278,axiom,
index_171 = select(q3,tail),
file(unknown,unknown) ).
tff(f_424,axiom,
q3 = queue_160,
file(unknown,unknown) ).
tff(f_353,axiom,
queue_160 = store(queue_157,head,index_159),
file(unknown,unknown) ).
tff(f_352,axiom,
queue_157 = store(queue_155,tail,index_156),
file(unknown,unknown) ).
tff(f_279,axiom,
index_174 = s(index_171),
file(unknown,unknown) ).
tff(f_271,axiom,
index_156 = s(index_153),
file(unknown,unknown) ).
tff(f_401,axiom,
q0 = queue_1,
file(unknown,unknown) ).
tff(f_330,axiom,
queue_1 = store(q,head,index_0),
file(unknown,unknown) ).
tff(f_394,axiom,
queue_80 = store(q1,seq,earray_79),
file(unknown,unknown) ).
tff(f_270,axiom,
index_153 = select(q2,tail),
file(unknown,unknown) ).
tff(f_413,axiom,
q2 = queue_82,
file(unknown,unknown) ).
tff(f_395,axiom,
queue_82 = store(queue_80,tail,index_81),
file(unknown,unknown) ).
tff(f_351,axiom,
queue_155 = store(q2,seq,earray_154),
file(unknown,unknown) ).
tff(f_272,axiom,
index_158 = select(queue_157,head),
file(unknown,unknown) ).
tff(f_402,axiom,
q1 = queue_7,
file(unknown,unknown) ).
tff(f_390,axiom,
queue_7 = store(queue_5,tail,index_6),
file(unknown,unknown) ).
tff(f_383,axiom,
queue_5 = store(q0,seq,earray_4),
file(unknown,unknown) ).
tff(f_273,axiom,
index_159 = s(index_158),
file(unknown,unknown) ).
tff(f_248,axiom,
index_0 = select(q,tail),
file(unknown,unknown) ).
tff(f_300,axiom,
index_3 = select(q0,tail),
file(unknown,unknown) ).
tff(f_312,axiom,
index_6 = s(index_3),
file(unknown,unknown) ).
tff(f_320,axiom,
index_78 = select(q1,tail),
file(unknown,unknown) ).
tff(f_321,axiom,
index_81 = s(index_78),
file(unknown,unknown) ).
tff(f_360,axiom,
queue_179 = store(q4,seq,earray_178),
file(unknown,unknown) ).
tff(f_362,axiom,
queue_185 = store(q5,seq,earray_184),
file(unknown,unknown) ).
tff(f_363,axiom,
queue_187 = store(queue_185,tail,index_186),
file(unknown,unknown) ).
tff(f_285,axiom,
index_188 = select(queue_187,head),
file(unknown,unknown) ).
tff(f_358,axiom,
queue_173 = store(q3,seq,earray_172),
file(unknown,unknown) ).
tff(f_286,axiom,
index_189 = s(index_188),
file(unknown,unknown) ).
tff(f_428,axiom,
q6 = queue_190,
file(unknown,unknown) ).
tff(f_365,axiom,
queue_190 = store(queue_187,head,index_189),
file(unknown,unknown) ).
tff(f_429,axiom,
q7 = queue_196,
file(unknown,unknown) ).
tff(f_367,axiom,
queue_196 = store(queue_194,tail,index_195),
file(unknown,unknown) ).
tff(f_366,axiom,
queue_194 = store(q6,seq,earray_193),
file(unknown,unknown) ).
tff(f_368,axiom,
queue_200 = store(q7,seq,earray_199),
file(unknown,unknown) ).
tff(f_430,axiom,
q8 = queue_202,
file(unknown,unknown) ).
tff(f_369,axiom,
queue_202 = store(queue_200,tail,index_201),
file(unknown,unknown) ).
tff(f_370,axiom,
queue_206 = store(q8,seq,earray_205),
file(unknown,unknown) ).
tff(f_371,axiom,
queue_208 = store(queue_206,tail,index_207),
file(unknown,unknown) ).
tff(f_293,axiom,
index_209 = select(queue_208,head),
file(unknown,unknown) ).
tff(f_295,axiom,
index_210 = s(index_209),
file(unknown,unknown) ).
tff(f_357,axiom,
queue_17 = store(q10,seq,earray_16),
file(unknown,unknown) ).
tff(f_373,axiom,
queue_23 = store(q11,seq,earray_22),
file(unknown,unknown) ).
tff(f_298,axiom,
index_26 = select(queue_25,head),
file(unknown,unknown) ).
tff(f_335,axiom,
queue_11 = store(q9,seq,earray_10),
file(unknown,unknown) ).
tff(f_431,axiom,
q9 = queue_211,
file(unknown,unknown) ).
tff(f_372,axiom,
queue_211 = store(queue_208,head,index_210),
file(unknown,unknown) ).
tff(f_299,axiom,
index_27 = s(index_26),
file(unknown,unknown) ).
tff(f_376,axiom,
queue_32 = store(q12,seq,earray_31),
file(unknown,unknown) ).
tff(f_378,axiom,
queue_38 = store(q13,seq,earray_37),
file(unknown,unknown) ).
tff(f_380,axiom,
queue_44 = store(q14,seq,earray_43),
file(unknown,unknown) ).
tff(f_307,axiom,
index_47 = select(queue_46,head),
file(unknown,unknown) ).
tff(f_308,axiom,
index_48 = s(index_47),
file(unknown,unknown) ).
tff(f_386,axiom,
queue_59 = store(q16,seq,earray_58),
file(unknown,unknown) ).
tff(f_388,axiom,
queue_65 = store(q17,seq,earray_64),
file(unknown,unknown) ).
tff(f_316,axiom,
index_68 = select(queue_67,head),
file(unknown,unknown) ).
tff(f_384,axiom,
queue_53 = store(q15,seq,earray_52),
file(unknown,unknown) ).
tff(f_317,axiom,
index_69 = s(index_68),
file(unknown,unknown) ).
tff(f_415,axiom,
q21 = queue_97,
file(unknown,unknown) ).
tff(f_400,axiom,
queue_97 = store(queue_94,head,index_96),
file(unknown,unknown) ).
tff(f_416,axiom,
q22 = queue_103,
file(unknown,unknown) ).
tff(f_332,axiom,
queue_103 = store(queue_101,tail,index_102),
file(unknown,unknown) ).
tff(f_331,axiom,
queue_101 = store(q21,seq,earray_100),
file(unknown,unknown) ).
tff(f_417,axiom,
q23 = queue_109,
file(unknown,unknown) ).
tff(f_334,axiom,
queue_109 = store(queue_107,tail,index_108),
file(unknown,unknown) ).
tff(f_333,axiom,
queue_107 = store(q22,seq,earray_106),
file(unknown,unknown) ).
tff(f_336,axiom,
queue_113 = store(q23,seq,earray_112),
file(unknown,unknown) ).
tff(f_254,axiom,
index_116 = select(queue_115,head),
file(unknown,unknown) ).
tff(f_337,axiom,
queue_115 = store(queue_113,tail,index_114),
file(unknown,unknown) ).
tff(f_392,axiom,
queue_74 = store(q18,seq,earray_73),
file(unknown,unknown) ).
tff(f_396,axiom,
queue_86 = store(q19,seq,earray_85),
file(unknown,unknown) ).
tff(f_398,axiom,
queue_92 = store(q20,seq,earray_91),
file(unknown,unknown) ).
tff(f_399,axiom,
queue_94 = store(queue_92,tail,index_93),
file(unknown,unknown) ).
tff(f_327,axiom,
index_95 = select(queue_94,head),
file(unknown,unknown) ).
tff(f_328,axiom,
index_96 = s(index_95),
file(unknown,unknown) ).
tff(f_287,axiom,
index_192 = select(q6,tail),
file(unknown,unknown) ).
tff(f_288,axiom,
index_195 = s(index_192),
file(unknown,unknown) ).
tff(f_289,axiom,
index_198 = select(q7,tail),
file(unknown,unknown) ).
tff(f_290,axiom,
index_201 = s(index_198),
file(unknown,unknown) ).
tff(f_291,axiom,
index_204 = select(q8,tail),
file(unknown,unknown) ).
tff(f_292,axiom,
index_207 = s(index_204),
file(unknown,unknown) ).
tff(f_324,axiom,
index_9 = select(q9,tail),
file(unknown,unknown) ).
tff(f_256,axiom,
index_12 = s(index_9),
file(unknown,unknown) ).
tff(f_421,axiom,
q27 = queue_139,
file(unknown,unknown) ).
tff(f_346,axiom,
queue_139 = store(queue_136,head,index_138),
file(unknown,unknown) ).
tff(f_349,axiom,
queue_149 = store(q28,seq,earray_148),
file(unknown,unknown) ).
tff(f_423,axiom,
q29 = queue_151,
file(unknown,unknown) ).
tff(f_350,axiom,
queue_151 = store(queue_149,tail,index_150),
file(unknown,unknown) ).
tff(f_355,axiom,
queue_166 = store(queue_164,tail,index_165),
file(unknown,unknown) ).
tff(f_276,axiom,
index_167 = select(queue_166,head),
file(unknown,unknown) ).
tff(f_354,axiom,
queue_164 = store(q29,seq,earray_163),
file(unknown,unknown) ).
tff(f_422,axiom,
q28 = queue_145,
file(unknown,unknown) ).
tff(f_348,axiom,
queue_145 = store(queue_143,tail,index_144),
file(unknown,unknown) ).
tff(f_347,axiom,
queue_143 = store(q27,seq,earray_142),
file(unknown,unknown) ).
tff(f_277,axiom,
index_168 = s(index_167),
file(unknown,unknown) ).
tff(f_329,axiom,
index_99 = select(q21,tail),
file(unknown,unknown) ).
tff(f_249,axiom,
index_102 = s(index_99),
file(unknown,unknown) ).
tff(f_152,axiom,
! [X] : ( s(s(s(s(s(s(s(s(s(s(s(s(X)))))))))))) != X ),
file(unknown,unknown) ).
tff(f_257,axiom,
index_120 = select(q24,tail),
file(unknown,unknown) ).
tff(f_258,axiom,
index_123 = s(index_120),
file(unknown,unknown) ).
tff(f_252,axiom,
index_111 = select(q23,tail),
file(unknown,unknown) ).
tff(f_253,axiom,
index_114 = s(index_111),
file(unknown,unknown) ).
tff(f_250,axiom,
index_105 = select(q22,tail),
file(unknown,unknown) ).
tff(f_251,axiom,
index_108 = s(index_105),
file(unknown,unknown) ).
tff(f_149,axiom,
! [X] : ( s(s(s(s(s(s(s(s(s(s(s(s(s(X))))))))))))) != X ),
file(unknown,unknown) ).
tff(f_35,axiom,
tail != seq,
file(unknown,unknown) ).
tff(f_190,axiom,
earray_110 = select(q23,seq),
file(unknown,unknown) ).
tff(f_191,axiom,
earray_112 = store(earray_110,index_111,e23),
file(unknown,unknown) ).
tff(f_259,axiom,
index_126 = select(q25,tail),
file(unknown,unknown) ).
tff(f_260,axiom,
index_129 = s(index_126),
file(unknown,unknown) ).
tff(f_146,axiom,
! [X] : ( s(s(s(s(s(s(s(s(s(s(s(s(s(s(X)))))))))))))) != X ),
file(unknown,unknown) ).
tff(f_261,axiom,
index_132 = select(q26,tail),
file(unknown,unknown) ).
tff(f_262,axiom,
index_135 = s(index_132),
file(unknown,unknown) ).
tff(f_143,axiom,
! [X] : ( s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X))))))))))))))) != X ),
file(unknown,unknown) ).
tff(f_265,axiom,
index_141 = select(q27,tail),
file(unknown,unknown) ).
tff(f_266,axiom,
index_144 = s(index_141),
file(unknown,unknown) ).
tff(f_140,axiom,
! [X] : ( s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X)))))))))))))))) != X ),
file(unknown,unknown) ).
tff(f_199,axiom,
earray_140 = select(q27,seq),
file(unknown,unknown) ).
tff(f_200,axiom,
earray_142 = store(earray_140,index_141,e27),
file(unknown,unknown) ).
tff(f_274,axiom,
index_162 = select(q29,tail),
file(unknown,unknown) ).
tff(f_206,axiom,
earray_161 = select(q29,seq),
file(unknown,unknown) ).
tff(f_207,axiom,
earray_163 = store(earray_161,index_162,e29),
file(unknown,unknown) ).
tff(f_222,axiom,
earray_212 = select(q30,seq),
file(unknown,unknown) ).
tff(f_425,axiom,
q30 = queue_169,
file(unknown,unknown) ).
tff(f_356,axiom,
queue_169 = store(queue_166,head,index_168),
file(unknown,unknown) ).
tff(f_296,axiom,
index_213 = select(q30,head),
file(unknown,unknown) ).
tff(f_247,axiom,
elem_214 = select(earray_212,index_213),
file(unknown,unknown) ).
tff(f_275,axiom,
index_165 = s(index_162),
file(unknown,unknown) ).
tff(f_267,axiom,
index_147 = select(q28,tail),
file(unknown,unknown) ).
tff(f_269,axiom,
index_150 = s(index_147),
file(unknown,unknown) ).
tff(f_74,axiom,
! [X] : ( s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X)))))))))))))))))))))))))))))))))))))) != X ),
file(unknown,unknown) ).
tff(f_201,axiom,
earray_146 = select(q28,seq),
file(unknown,unknown) ).
tff(f_202,axiom,
earray_148 = store(earray_146,index_147,e28),
file(unknown,unknown) ).
tff(f_80,axiom,
! [X] : ( s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X)))))))))))))))))))))))))))))))))))) != X ),
file(unknown,unknown) ).
tff(f_86,axiom,
! [X] : ( s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X)))))))))))))))))))))))))))))))))) != X ),
file(unknown,unknown) ).
tff(f_196,axiom,
earray_131 = select(q26,seq),
file(unknown,unknown) ).
tff(f_197,axiom,
earray_133 = store(earray_131,index_132,e26),
file(unknown,unknown) ).
tff(f_194,axiom,
earray_125 = select(q25,seq),
file(unknown,unknown) ).
tff(f_195,axiom,
earray_127 = store(earray_125,index_126,e25),
file(unknown,unknown) ).
tff(f_192,axiom,
earray_119 = select(q24,seq),
file(unknown,unknown) ).
tff(f_193,axiom,
earray_121 = store(earray_119,index_120,e24),
file(unknown,unknown) ).
tff(f_188,axiom,
earray_104 = select(q22,seq),
file(unknown,unknown) ).
tff(f_189,axiom,
earray_106 = store(earray_104,index_105,e22),
file(unknown,unknown) ).
tff(f_219,axiom,
earray_20 = select(q11,seq),
file(unknown,unknown) ).
tff(f_223,axiom,
earray_22 = store(earray_20,index_21,e11),
file(unknown,unknown) ).
tff(f_226,axiom,
earray_35 = select(q13,seq),
file(unknown,unknown) ).
tff(f_227,axiom,
earray_37 = store(earray_35,index_36,e13),
file(unknown,unknown) ).
tff(f_229,axiom,
earray_41 = select(q14,seq),
file(unknown,unknown) ).
tff(f_230,axiom,
earray_43 = store(earray_41,index_42,e14),
file(unknown,unknown) ).
tff(f_233,axiom,
earray_56 = select(q16,seq),
file(unknown,unknown) ).
tff(f_234,axiom,
earray_58 = store(earray_56,index_57,e16),
file(unknown,unknown) ).
tff(f_242,axiom,
earray_83 = select(q19,seq),
file(unknown,unknown) ).
tff(f_243,axiom,
earray_85 = store(earray_83,index_84,e19),
file(unknown,unknown) ).
tff(f_246,axiom,
earray_98 = select(q21,seq),
file(unknown,unknown) ).
tff(f_187,axiom,
earray_100 = store(earray_98,index_99,e21),
file(unknown,unknown) ).
tff(f_244,axiom,
earray_89 = select(q20,seq),
file(unknown,unknown) ).
tff(f_245,axiom,
earray_91 = store(earray_89,index_90,e20),
file(unknown,unknown) ).
tff(f_237,axiom,
earray_71 = select(q18,seq),
file(unknown,unknown) ).
tff(f_238,axiom,
earray_73 = store(earray_71,index_72,e18),
file(unknown,unknown) ).
tff(f_235,axiom,
earray_62 = select(q17,seq),
file(unknown,unknown) ).
tff(f_236,axiom,
earray_64 = store(earray_62,index_63,e17),
file(unknown,unknown) ).
tff(f_231,axiom,
earray_50 = select(q15,seq),
file(unknown,unknown) ).
tff(f_232,axiom,
earray_52 = store(earray_50,index_51,e15),
file(unknown,unknown) ).
tff(f_224,axiom,
earray_29 = select(q12,seq),
file(unknown,unknown) ).
tff(f_225,axiom,
earray_31 = store(earray_29,index_30,e12),
file(unknown,unknown) ).
tff(f_205,axiom,
earray_16 = store(earray_14,index_15,e10),
file(unknown,unknown) ).
tff(c_546,plain,
queue_13 = q10,
inference(cnfTransformation,[status(thm)],[f_403]) ).
tff(c_424,plain,
store(queue_11,tail,index_12) = queue_13,
inference(cnfTransformation,[status(thm)],[f_342]) ).
tff(c_630,plain,
store(queue_11,tail,index_12) = q10,
inference(demodulation,[status(thm),theory(equality)],[c_546,c_424]) ).
tff(c_2225,plain,
! [A_63,I_64,E_65] : ( select(store(A_63,I_64,E_65),I_64) = E_65 ),
inference(cnfTransformation,[status(thm)],[f_25]) ).
tff(c_2414,plain,
select(q10,tail) = index_12,
inference(superposition,[status(thm),theory(equality)],[c_630,c_2225]) ).
tff(c_276,plain,
select(q10,tail) = index_15,
inference(cnfTransformation,[status(thm)],[f_268]) ).
tff(c_11318,plain,
index_15 = index_12,
inference(demodulation,[status(thm),theory(equality)],[c_2414,c_276]) ).
tff(c_302,plain,
s(index_15) = index_18,
inference(cnfTransformation,[status(thm)],[f_281]) ).
tff(c_816,plain,
! [X_58] : ( s(X_58) != X_58 ),
inference(cnfTransformation,[status(thm)],[f_185]) ).
tff(c_855,plain,
index_18 != index_15,
inference(superposition,[status(thm),theory(equality)],[c_302,c_816]) ).
tff(c_11327,plain,
index_18 != index_12,
inference(demodulation,[status(thm),theory(equality)],[c_11318,c_855]) ).
tff(c_6,plain,
tail != head,
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_342,plain,
select(q12,tail) = index_30,
inference(cnfTransformation,[status(thm)],[f_301]) ).
tff(c_550,plain,
queue_28 = q12,
inference(cnfTransformation,[status(thm)],[f_405]) ).
tff(c_490,plain,
store(queue_25,head,index_27) = queue_28,
inference(cnfTransformation,[status(thm)],[f_375]) ).
tff(c_616,plain,
store(queue_25,head,index_27) = q12,
inference(demodulation,[status(thm),theory(equality)],[c_550,c_490]) ).
tff(c_3145,plain,
! [A_70,I_71,E_72,J_73] :
( ( select(store(A_70,I_71,E_72),J_73) = select(A_70,J_73) )
| ( J_73 = I_71 ) ),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_13803,plain,
! [J_155] :
( ( select(queue_25,J_155) = select(q12,J_155) )
| ( head = J_155 ) ),
inference(superposition,[status(thm),theory(equality)],[c_616,c_3145]) ).
tff(c_488,plain,
store(queue_23,tail,index_24) = queue_25,
inference(cnfTransformation,[status(thm)],[f_374]) ).
tff(c_2435,plain,
select(queue_25,tail) = index_24,
inference(superposition,[status(thm),theory(equality)],[c_488,c_2225]) ).
tff(c_13809,plain,
( ( select(q12,tail) = index_24 )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_13803,c_2435]) ).
tff(c_13823,plain,
( ( index_30 = index_24 )
| ( tail = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_342,c_13809]) ).
tff(c_13824,plain,
index_30 = index_24,
inference(negUnitSimplification,[status(thm)],[c_6,c_13823]) ).
tff(c_344,plain,
s(index_30) = index_33,
inference(cnfTransformation,[status(thm)],[f_302]) ).
tff(c_13844,plain,
s(index_24) = index_33,
inference(demodulation,[status(thm),theory(equality)],[c_13824,c_344]) ).
tff(c_548,plain,
queue_19 = q11,
inference(cnfTransformation,[status(thm)],[f_404]) ).
tff(c_468,plain,
store(queue_17,tail,index_18) = queue_19,
inference(cnfTransformation,[status(thm)],[f_364]) ).
tff(c_621,plain,
store(queue_17,tail,index_18) = q11,
inference(demodulation,[status(thm),theory(equality)],[c_548,c_468]) ).
tff(c_2357,plain,
select(q11,tail) = index_18,
inference(superposition,[status(thm),theory(equality)],[c_621,c_2225]) ).
tff(c_328,plain,
select(q11,tail) = index_21,
inference(cnfTransformation,[status(thm)],[f_294]) ).
tff(c_4979,plain,
index_21 = index_18,
inference(demodulation,[status(thm),theory(equality)],[c_2357,c_328]) ).
tff(c_334,plain,
s(index_21) = index_24,
inference(cnfTransformation,[status(thm)],[f_297]) ).
tff(c_5115,plain,
s(index_18) = index_24,
inference(demodulation,[status(thm),theory(equality)],[c_4979,c_334]) ).
tff(c_1570,plain,
! [X_60] : ( s(s(s(X_60))) != X_60 ),
inference(cnfTransformation,[status(thm)],[f_179]) ).
tff(c_1687,plain,
s(s(index_18)) != index_15,
inference(superposition,[status(thm),theory(equality)],[c_302,c_1570]) ).
tff(c_5120,plain,
s(index_24) != index_15,
inference(demodulation,[status(thm),theory(equality)],[c_5115,c_1687]) ).
tff(c_11324,plain,
s(index_24) != index_12,
inference(demodulation,[status(thm),theory(equality)],[c_11318,c_5120]) ).
tff(c_14156,plain,
index_33 != index_12,
inference(demodulation,[status(thm),theory(equality)],[c_13844,c_11324]) ).
tff(c_552,plain,
queue_34 = q13,
inference(cnfTransformation,[status(thm)],[f_406]) ).
tff(c_494,plain,
store(queue_32,tail,index_33) = queue_34,
inference(cnfTransformation,[status(thm)],[f_377]) ).
tff(c_615,plain,
store(queue_32,tail,index_33) = q13,
inference(demodulation,[status(thm),theory(equality)],[c_552,c_494]) ).
tff(c_2486,plain,
select(q13,tail) = index_33,
inference(superposition,[status(thm),theory(equality)],[c_615,c_2225]) ).
tff(c_346,plain,
select(q13,tail) = index_36,
inference(cnfTransformation,[status(thm)],[f_303]) ).
tff(c_11072,plain,
index_36 = index_33,
inference(demodulation,[status(thm),theory(equality)],[c_2486,c_346]) ).
tff(c_348,plain,
s(index_36) = index_39,
inference(cnfTransformation,[status(thm)],[f_304]) ).
tff(c_11082,plain,
s(index_33) = index_39,
inference(demodulation,[status(thm),theory(equality)],[c_11072,c_348]) ).
tff(c_11328,plain,
s(index_12) = index_18,
inference(demodulation,[status(thm),theory(equality)],[c_11318,c_302]) ).
tff(c_104,plain,
! [X_54] : ( s(s(s(s(X_54)))) != X_54 ),
inference(cnfTransformation,[status(thm)],[f_176]) ).
tff(c_11477,plain,
s(s(s(index_18))) != index_12,
inference(superposition,[status(thm),theory(equality)],[c_11328,c_104]) ).
tff(c_11535,plain,
s(s(index_24)) != index_12,
inference(demodulation,[status(thm),theory(equality)],[c_5115,c_11477]) ).
tff(c_14155,plain,
s(index_33) != index_12,
inference(demodulation,[status(thm),theory(equality)],[c_13844,c_11535]) ).
tff(c_14167,plain,
index_39 != index_12,
inference(demodulation,[status(thm),theory(equality)],[c_11082,c_14155]) ).
tff(c_358,plain,
select(q15,tail) = index_51,
inference(cnfTransformation,[status(thm)],[f_309]) ).
tff(c_556,plain,
queue_49 = q15,
inference(cnfTransformation,[status(thm)],[f_408]) ).
tff(c_504,plain,
store(queue_46,head,index_48) = queue_49,
inference(cnfTransformation,[status(thm)],[f_382]) ).
tff(c_613,plain,
store(queue_46,head,index_48) = q15,
inference(demodulation,[status(thm),theory(equality)],[c_556,c_504]) ).
tff(c_11891,plain,
! [J_115] :
( ( select(queue_46,J_115) = select(q15,J_115) )
| ( head = J_115 ) ),
inference(superposition,[status(thm),theory(equality)],[c_613,c_3145]) ).
tff(c_502,plain,
store(queue_44,tail,index_45) = queue_46,
inference(cnfTransformation,[status(thm)],[f_381]) ).
tff(c_2369,plain,
select(queue_46,tail) = index_45,
inference(superposition,[status(thm),theory(equality)],[c_502,c_2225]) ).
tff(c_11897,plain,
( ( select(q15,tail) = index_45 )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_11891,c_2369]) ).
tff(c_11911,plain,
( ( index_51 = index_45 )
| ( tail = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_358,c_11897]) ).
tff(c_11912,plain,
index_51 = index_45,
inference(negUnitSimplification,[status(thm)],[c_6,c_11911]) ).
tff(c_360,plain,
s(index_51) = index_54,
inference(cnfTransformation,[status(thm)],[f_310]) ).
tff(c_11931,plain,
s(index_45) = index_54,
inference(demodulation,[status(thm),theory(equality)],[c_11912,c_360]) ).
tff(c_554,plain,
queue_40 = q14,
inference(cnfTransformation,[status(thm)],[f_407]) ).
tff(c_498,plain,
store(queue_38,tail,index_39) = queue_40,
inference(cnfTransformation,[status(thm)],[f_379]) ).
tff(c_614,plain,
store(queue_38,tail,index_39) = q14,
inference(demodulation,[status(thm),theory(equality)],[c_554,c_498]) ).
tff(c_2420,plain,
select(q14,tail) = index_39,
inference(superposition,[status(thm),theory(equality)],[c_614,c_2225]) ).
tff(c_350,plain,
select(q14,tail) = index_42,
inference(cnfTransformation,[status(thm)],[f_305]) ).
tff(c_4501,plain,
index_42 = index_39,
inference(demodulation,[status(thm),theory(equality)],[c_2420,c_350]) ).
tff(c_352,plain,
s(index_42) = index_45,
inference(cnfTransformation,[status(thm)],[f_306]) ).
tff(c_4510,plain,
s(index_39) = index_45,
inference(demodulation,[status(thm),theory(equality)],[c_4501,c_352]) ).
tff(c_100,plain,
! [X_52] : ( s(s(s(s(s(s(X_52)))))) != X_52 ),
inference(cnfTransformation,[status(thm)],[f_170]) ).
tff(c_11471,plain,
s(s(s(s(s(index_18))))) != index_12,
inference(superposition,[status(thm),theory(equality)],[c_11328,c_100]) ).
tff(c_11533,plain,
s(s(s(s(index_24)))) != index_12,
inference(demodulation,[status(thm),theory(equality)],[c_5115,c_11471]) ).
tff(c_14149,plain,
s(s(s(index_33))) != index_12,
inference(demodulation,[status(thm),theory(equality)],[c_13844,c_11533]) ).
tff(c_14162,plain,
index_54 != index_12,
inference(demodulation,[status(thm),theory(equality)],[c_11931,c_4510,c_11082,c_14149]) ).
tff(c_376,plain,
select(q18,tail) = index_72,
inference(cnfTransformation,[status(thm)],[f_318]) ).
tff(c_562,plain,
queue_70 = q18,
inference(cnfTransformation,[status(thm)],[f_411]) ).
tff(c_522,plain,
store(queue_67,head,index_69) = queue_70,
inference(cnfTransformation,[status(thm)],[f_391]) ).
tff(c_609,plain,
store(queue_67,head,index_69) = q18,
inference(demodulation,[status(thm),theory(equality)],[c_562,c_522]) ).
tff(c_13850,plain,
! [J_156] :
( ( select(queue_67,J_156) = select(q18,J_156) )
| ( head = J_156 ) ),
inference(superposition,[status(thm),theory(equality)],[c_609,c_3145]) ).
tff(c_518,plain,
store(queue_65,tail,index_66) = queue_67,
inference(cnfTransformation,[status(thm)],[f_389]) ).
tff(c_2234,plain,
select(queue_67,tail) = index_66,
inference(superposition,[status(thm),theory(equality)],[c_518,c_2225]) ).
tff(c_13859,plain,
( ( select(q18,tail) = index_66 )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_13850,c_2234]) ).
tff(c_13876,plain,
( ( index_72 = index_66 )
| ( tail = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_376,c_13859]) ).
tff(c_13877,plain,
index_72 = index_66,
inference(negUnitSimplification,[status(thm)],[c_6,c_13876]) ).
tff(c_378,plain,
s(index_72) = index_75,
inference(cnfTransformation,[status(thm)],[f_319]) ).
tff(c_13896,plain,
s(index_66) = index_75,
inference(demodulation,[status(thm),theory(equality)],[c_13877,c_378]) ).
tff(c_560,plain,
queue_61 = q17,
inference(cnfTransformation,[status(thm)],[f_410]) ).
tff(c_514,plain,
store(queue_59,tail,index_60) = queue_61,
inference(cnfTransformation,[status(thm)],[f_387]) ).
tff(c_611,plain,
store(queue_59,tail,index_60) = q17,
inference(demodulation,[status(thm),theory(equality)],[c_560,c_514]) ).
tff(c_2321,plain,
select(q17,tail) = index_60,
inference(superposition,[status(thm),theory(equality)],[c_611,c_2225]) ).
tff(c_368,plain,
select(q17,tail) = index_63,
inference(cnfTransformation,[status(thm)],[f_314]) ).
tff(c_10433,plain,
index_63 = index_60,
inference(demodulation,[status(thm),theory(equality)],[c_2321,c_368]) ).
tff(c_370,plain,
s(index_63) = index_66,
inference(cnfTransformation,[status(thm)],[f_315]) ).
tff(c_10443,plain,
s(index_60) = index_66,
inference(demodulation,[status(thm),theory(equality)],[c_10433,c_370]) ).
tff(c_558,plain,
queue_55 = q16,
inference(cnfTransformation,[status(thm)],[f_409]) ).
tff(c_510,plain,
store(queue_53,tail,index_54) = queue_55,
inference(cnfTransformation,[status(thm)],[f_385]) ).
tff(c_612,plain,
store(queue_53,tail,index_54) = q16,
inference(demodulation,[status(thm),theory(equality)],[c_558,c_510]) ).
tff(c_2249,plain,
select(q16,tail) = index_54,
inference(superposition,[status(thm),theory(equality)],[c_612,c_2225]) ).
tff(c_362,plain,
select(q16,tail) = index_57,
inference(cnfTransformation,[status(thm)],[f_311]) ).
tff(c_6824,plain,
index_57 = index_54,
inference(demodulation,[status(thm),theory(equality)],[c_2249,c_362]) ).
tff(c_366,plain,
s(index_57) = index_60,
inference(cnfTransformation,[status(thm)],[f_313]) ).
tff(c_6964,plain,
s(index_54) = index_60,
inference(demodulation,[status(thm),theory(equality)],[c_6824,c_366]) ).
tff(c_94,plain,
! [X_49] : ( s(s(s(s(s(s(s(s(s(X_49))))))))) != X_49 ),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_11462,plain,
s(s(s(s(s(s(s(s(index_18)))))))) != index_12,
inference(superposition,[status(thm),theory(equality)],[c_11328,c_94]) ).
tff(c_11530,plain,
s(s(s(s(s(s(s(index_24))))))) != index_12,
inference(demodulation,[status(thm),theory(equality)],[c_5115,c_11462]) ).
tff(c_17805,plain,
index_75 != index_12,
inference(demodulation,[status(thm),theory(equality)],[c_13896,c_10443,c_6964,c_11931,c_4510,c_11082,c_13844,c_11530]) ).
tff(c_568,plain,
queue_88 = q20,
inference(cnfTransformation,[status(thm)],[f_414]) ).
tff(c_534,plain,
store(queue_86,tail,index_87) = queue_88,
inference(cnfTransformation,[status(thm)],[f_397]) ).
tff(c_606,plain,
store(queue_86,tail,index_87) = q20,
inference(demodulation,[status(thm),theory(equality)],[c_568,c_534]) ).
tff(c_2297,plain,
select(q20,tail) = index_87,
inference(superposition,[status(thm),theory(equality)],[c_606,c_2225]) ).
tff(c_390,plain,
select(q20,tail) = index_90,
inference(cnfTransformation,[status(thm)],[f_325]) ).
tff(c_4057,plain,
index_90 = index_87,
inference(demodulation,[status(thm),theory(equality)],[c_2297,c_390]) ).
tff(c_392,plain,
s(index_90) = index_93,
inference(cnfTransformation,[status(thm)],[f_326]) ).
tff(c_4066,plain,
s(index_87) = index_93,
inference(demodulation,[status(thm),theory(equality)],[c_4057,c_392]) ).
tff(c_564,plain,
queue_76 = q19,
inference(cnfTransformation,[status(thm)],[f_412]) ).
tff(c_526,plain,
store(queue_74,tail,index_75) = queue_76,
inference(cnfTransformation,[status(thm)],[f_393]) ).
tff(c_608,plain,
store(queue_74,tail,index_75) = q19,
inference(demodulation,[status(thm),theory(equality)],[c_564,c_526]) ).
tff(c_2381,plain,
select(q19,tail) = index_75,
inference(superposition,[status(thm),theory(equality)],[c_608,c_2225]) ).
tff(c_384,plain,
select(q19,tail) = index_84,
inference(cnfTransformation,[status(thm)],[f_322]) ).
tff(c_10847,plain,
index_84 = index_75,
inference(demodulation,[status(thm),theory(equality)],[c_2381,c_384]) ).
tff(c_386,plain,
s(index_84) = index_87,
inference(cnfTransformation,[status(thm)],[f_323]) ).
tff(c_10857,plain,
s(index_75) = index_87,
inference(demodulation,[status(thm),theory(equality)],[c_10847,c_386]) ).
tff(c_3630,plain,
! [X_75] : ( s(s(s(s(s(s(s(s(s(s(s(X_75))))))))))) != X_75 ),
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_3747,plain,
s(s(s(s(s(s(s(s(s(s(index_18)))))))))) != index_15,
inference(superposition,[status(thm),theory(equality)],[c_302,c_3630]) ).
tff(c_58247,plain,
index_93 != index_12,
inference(demodulation,[status(thm),theory(equality)],[c_4066,c_10857,c_13896,c_10443,c_6964,c_11931,c_4510,c_11082,c_13844,c_5115,c_11318,c_3747]) ).
tff(c_3474,plain,
! [X_74] : ( s(s(s(s(s(s(s(s(s(s(X_74)))))))))) != X_74 ),
inference(cnfTransformation,[status(thm)],[f_158]) ).
tff(c_3588,plain,
s(s(s(s(s(s(s(s(s(index_18))))))))) != index_15,
inference(superposition,[status(thm),theory(equality)],[c_302,c_3474]) ).
tff(c_18227,plain,
index_87 != index_12,
inference(demodulation,[status(thm),theory(equality)],[c_10857,c_13896,c_10443,c_6964,c_11931,c_4510,c_11082,c_13844,c_11318,c_5115,c_3588]) ).
tff(c_96,plain,
! [X_50] : ( s(s(s(s(s(s(s(s(X_50)))))))) != X_50 ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_11465,plain,
s(s(s(s(s(s(s(index_18))))))) != index_12,
inference(superposition,[status(thm),theory(equality)],[c_11328,c_96]) ).
tff(c_11531,plain,
s(s(s(s(s(s(index_24)))))) != index_12,
inference(demodulation,[status(thm),theory(equality)],[c_5115,c_11465]) ).
tff(c_17568,plain,
index_66 != index_12,
inference(demodulation,[status(thm),theory(equality)],[c_10443,c_6964,c_11931,c_4510,c_11082,c_13844,c_11531]) ).
tff(c_98,plain,
! [X_51] : ( s(s(s(s(s(s(s(X_51))))))) != X_51 ),
inference(cnfTransformation,[status(thm)],[f_167]) ).
tff(c_11468,plain,
s(s(s(s(s(s(index_18)))))) != index_12,
inference(superposition,[status(thm),theory(equality)],[c_11328,c_98]) ).
tff(c_11532,plain,
s(s(s(s(s(index_24))))) != index_12,
inference(demodulation,[status(thm),theory(equality)],[c_5115,c_11468]) ).
tff(c_14146,plain,
s(s(s(s(index_33)))) != index_12,
inference(demodulation,[status(thm),theory(equality)],[c_13844,c_11532]) ).
tff(c_14159,plain,
index_60 != index_12,
inference(demodulation,[status(thm),theory(equality)],[c_6964,c_11931,c_4510,c_11082,c_14146]) ).
tff(c_102,plain,
! [X_53] : ( s(s(s(s(s(X_53))))) != X_53 ),
inference(cnfTransformation,[status(thm)],[f_173]) ).
tff(c_11474,plain,
s(s(s(s(index_18)))) != index_12,
inference(superposition,[status(thm),theory(equality)],[c_11328,c_102]) ).
tff(c_11534,plain,
s(s(s(index_24))) != index_12,
inference(demodulation,[status(thm),theory(equality)],[c_5115,c_11474]) ).
tff(c_14151,plain,
s(s(index_33)) != index_12,
inference(demodulation,[status(thm),theory(equality)],[c_13844,c_11534]) ).
tff(c_14164,plain,
index_45 != index_12,
inference(demodulation,[status(thm),theory(equality)],[c_4510,c_11082,c_14151]) ).
tff(c_1053,plain,
! [X_59] : ( s(s(X_59)) != X_59 ),
inference(cnfTransformation,[status(thm)],[f_182]) ).
tff(c_1170,plain,
s(index_18) != index_15,
inference(superposition,[status(thm),theory(equality)],[c_302,c_1053]) ).
tff(c_5121,plain,
index_24 != index_15,
inference(demodulation,[status(thm),theory(equality)],[c_5115,c_1170]) ).
tff(c_11325,plain,
index_24 != index_12,
inference(demodulation,[status(thm),theory(equality)],[c_11318,c_5121]) ).
tff(c_604,plain,
elem_214 != e10,
inference(cnfTransformation,[status(thm)],[f_433]) ).
tff(c_8,plain,
seq != head,
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_576,plain,
queue_118 = q24,
inference(cnfTransformation,[status(thm)],[f_418]) ).
tff(c_416,plain,
store(queue_115,head,index_117) = queue_118,
inference(cnfTransformation,[status(thm)],[f_338]) ).
tff(c_632,plain,
store(queue_115,head,index_117) = q24,
inference(demodulation,[status(thm),theory(equality)],[c_576,c_416]) ).
tff(c_2474,plain,
select(q24,head) = index_117,
inference(superposition,[status(thm),theory(equality)],[c_632,c_2225]) ).
tff(c_578,plain,
queue_124 = q25,
inference(cnfTransformation,[status(thm)],[f_419]) ).
tff(c_420,plain,
store(queue_122,tail,index_123) = queue_124,
inference(cnfTransformation,[status(thm)],[f_340]) ).
tff(c_631,plain,
store(queue_122,tail,index_123) = q25,
inference(demodulation,[status(thm),theory(equality)],[c_578,c_420]) ).
tff(c_3164,plain,
! [J_73] :
( ( select(queue_122,J_73) = select(q25,J_73) )
| ( tail = J_73 ) ),
inference(superposition,[status(thm),theory(equality)],[c_631,c_3145]) ).
tff(c_418,plain,
store(q24,seq,earray_121) = queue_122,
inference(cnfTransformation,[status(thm)],[f_339]) ).
tff(c_16424,plain,
! [J_191] :
( ( select(queue_122,J_191) = select(q24,J_191) )
| ( seq = J_191 ) ),
inference(superposition,[status(thm),theory(equality)],[c_418,c_3145]) ).
tff(c_56949,plain,
! [J_407] :
( ( select(q25,J_407) = select(q24,J_407) )
| ( seq = J_407 )
| ( tail = J_407 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3164,c_16424]) ).
tff(c_580,plain,
queue_130 = q26,
inference(cnfTransformation,[status(thm)],[f_420]) ).
tff(c_426,plain,
store(queue_128,tail,index_129) = queue_130,
inference(cnfTransformation,[status(thm)],[f_343]) ).
tff(c_629,plain,
store(queue_128,tail,index_129) = q26,
inference(demodulation,[status(thm),theory(equality)],[c_580,c_426]) ).
tff(c_3323,plain,
! [J_73] :
( ( select(queue_128,J_73) = select(q26,J_73) )
| ( tail = J_73 ) ),
inference(superposition,[status(thm),theory(equality)],[c_629,c_3145]) ).
tff(c_422,plain,
store(q25,seq,earray_127) = queue_128,
inference(cnfTransformation,[status(thm)],[f_341]) ).
tff(c_16781,plain,
! [J_202] :
( ( select(queue_128,J_202) = select(q25,J_202) )
| ( seq = J_202 ) ),
inference(superposition,[status(thm),theory(equality)],[c_422,c_3145]) ).
tff(c_35736,plain,
! [J_325] :
( ( select(q26,J_325) = select(q25,J_325) )
| ( seq = J_325 )
| ( tail = J_325 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3323,c_16781]) ).
tff(c_428,plain,
store(q26,seq,earray_133) = queue_134,
inference(cnfTransformation,[status(thm)],[f_344]) ).
tff(c_3353,plain,
! [J_73] :
( ( select(queue_134,J_73) = select(q26,J_73) )
| ( seq = J_73 ) ),
inference(superposition,[status(thm),theory(equality)],[c_428,c_3145]) ).
tff(c_430,plain,
store(queue_134,tail,index_135) = queue_136,
inference(cnfTransformation,[status(thm)],[f_345]) ).
tff(c_15386,plain,
! [J_176] :
( ( select(queue_136,J_176) = select(queue_134,J_176) )
| ( tail = J_176 ) ),
inference(superposition,[status(thm),theory(equality)],[c_430,c_3145]) ).
tff(c_266,plain,
select(queue_136,head) = index_137,
inference(cnfTransformation,[status(thm)],[f_263]) ).
tff(c_15395,plain,
( ( select(queue_134,head) = index_137 )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_15386,c_266]) ).
tff(c_15407,plain,
select(queue_134,head) = index_137,
inference(negUnitSimplification,[status(thm)],[c_6,c_15395]) ).
tff(c_15418,plain,
( ( select(q26,head) = index_137 )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_3353,c_15407]) ).
tff(c_15422,plain,
select(q26,head) = index_137,
inference(negUnitSimplification,[status(thm)],[c_8,c_15418]) ).
tff(c_35742,plain,
( ( select(q25,head) = index_137 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_35736,c_15422]) ).
tff(c_35762,plain,
select(q25,head) = index_137,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_35742]) ).
tff(c_56955,plain,
( ( select(q24,head) = index_137 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_56949,c_35762]) ).
tff(c_56975,plain,
( ( index_137 = index_117 )
| ( seq = head )
| ( tail = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2474,c_56955]) ).
tff(c_56976,plain,
index_137 = index_117,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_56975]) ).
tff(c_268,plain,
s(index_137) = index_138,
inference(cnfTransformation,[status(thm)],[f_264]) ).
tff(c_57005,plain,
s(index_117) = index_138,
inference(demodulation,[status(thm),theory(equality)],[c_56976,c_268]) ).
tff(c_250,plain,
s(index_116) = index_117,
inference(cnfTransformation,[status(thm)],[f_255]) ).
tff(c_594,plain,
queue_181 = q5,
inference(cnfTransformation,[status(thm)],[f_427]) ).
tff(c_462,plain,
store(queue_179,tail,index_180) = queue_181,
inference(cnfTransformation,[status(thm)],[f_361]) ).
tff(c_622,plain,
store(queue_179,tail,index_180) = q5,
inference(demodulation,[status(thm),theory(equality)],[c_594,c_462]) ).
tff(c_2336,plain,
select(q5,tail) = index_180,
inference(superposition,[status(thm),theory(equality)],[c_622,c_2225]) ).
tff(c_306,plain,
select(q5,tail) = index_183,
inference(cnfTransformation,[status(thm)],[f_283]) ).
tff(c_6171,plain,
index_183 = index_180,
inference(demodulation,[status(thm),theory(equality)],[c_2336,c_306]) ).
tff(c_308,plain,
s(index_183) = index_186,
inference(cnfTransformation,[status(thm)],[f_284]) ).
tff(c_6181,plain,
s(index_180) = index_186,
inference(demodulation,[status(thm),theory(equality)],[c_6171,c_308]) ).
tff(c_592,plain,
queue_175 = q4,
inference(cnfTransformation,[status(thm)],[f_426]) ).
tff(c_458,plain,
store(queue_173,tail,index_174) = queue_175,
inference(cnfTransformation,[status(thm)],[f_359]) ).
tff(c_623,plain,
store(queue_173,tail,index_174) = q4,
inference(demodulation,[status(thm),theory(equality)],[c_592,c_458]) ).
tff(c_2315,plain,
select(q4,tail) = index_174,
inference(superposition,[status(thm),theory(equality)],[c_623,c_2225]) ).
tff(c_300,plain,
select(q4,tail) = index_177,
inference(cnfTransformation,[status(thm)],[f_280]) ).
tff(c_10613,plain,
index_177 = index_174,
inference(demodulation,[status(thm),theory(equality)],[c_2315,c_300]) ).
tff(c_304,plain,
s(index_177) = index_180,
inference(cnfTransformation,[status(thm)],[f_282]) ).
tff(c_10624,plain,
s(index_174) = index_180,
inference(demodulation,[status(thm),theory(equality)],[c_10613,c_304]) ).
tff(c_296,plain,
select(q3,tail) = index_171,
inference(cnfTransformation,[status(thm)],[f_278]) ).
tff(c_588,plain,
queue_160 = q3,
inference(cnfTransformation,[status(thm)],[f_424]) ).
tff(c_446,plain,
store(queue_157,head,index_159) = queue_160,
inference(cnfTransformation,[status(thm)],[f_353]) ).
tff(c_625,plain,
store(queue_157,head,index_159) = q3,
inference(demodulation,[status(thm),theory(equality)],[c_588,c_446]) ).
tff(c_13229,plain,
! [J_145] :
( ( select(queue_157,J_145) = select(q3,J_145) )
| ( head = J_145 ) ),
inference(superposition,[status(thm),theory(equality)],[c_625,c_3145]) ).
tff(c_444,plain,
store(queue_155,tail,index_156) = queue_157,
inference(cnfTransformation,[status(thm)],[f_352]) ).
tff(c_2402,plain,
select(queue_157,tail) = index_156,
inference(superposition,[status(thm),theory(equality)],[c_444,c_2225]) ).
tff(c_13238,plain,
( ( select(q3,tail) = index_156 )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_13229,c_2402]) ).
tff(c_13255,plain,
( ( index_171 = index_156 )
| ( tail = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_296,c_13238]) ).
tff(c_13256,plain,
index_171 = index_156,
inference(negUnitSimplification,[status(thm)],[c_6,c_13255]) ).
tff(c_298,plain,
s(index_171) = index_174,
inference(cnfTransformation,[status(thm)],[f_279]) ).
tff(c_13276,plain,
s(index_156) = index_174,
inference(demodulation,[status(thm),theory(equality)],[c_13256,c_298]) ).
tff(c_282,plain,
s(index_153) = index_156,
inference(cnfTransformation,[status(thm)],[f_271]) ).
tff(c_542,plain,
queue_1 = q0,
inference(cnfTransformation,[status(thm)],[f_401]) ).
tff(c_400,plain,
store(q,head,index_0) = queue_1,
inference(cnfTransformation,[status(thm)],[f_330]) ).
tff(c_635,plain,
store(q,head,index_0) = q0,
inference(demodulation,[status(thm),theory(equality)],[c_542,c_400]) ).
tff(c_2417,plain,
select(q0,head) = index_0,
inference(superposition,[status(thm),theory(equality)],[c_635,c_2225]) ).
tff(c_528,plain,
store(q1,seq,earray_79) = queue_80,
inference(cnfTransformation,[status(thm)],[f_394]) ).
tff(c_3251,plain,
! [J_73] :
( ( select(queue_80,J_73) = select(q1,J_73) )
| ( seq = J_73 ) ),
inference(superposition,[status(thm),theory(equality)],[c_528,c_3145]) ).
tff(c_280,plain,
select(q2,tail) = index_153,
inference(cnfTransformation,[status(thm)],[f_270]) ).
tff(c_566,plain,
queue_82 = q2,
inference(cnfTransformation,[status(thm)],[f_413]) ).
tff(c_530,plain,
store(queue_80,tail,index_81) = queue_82,
inference(cnfTransformation,[status(thm)],[f_395]) ).
tff(c_607,plain,
store(queue_80,tail,index_81) = q2,
inference(demodulation,[status(thm),theory(equality)],[c_566,c_530]) ).
tff(c_2450,plain,
select(q2,tail) = index_81,
inference(superposition,[status(thm),theory(equality)],[c_607,c_2225]) ).
tff(c_2537,plain,
index_81 = index_153,
inference(demodulation,[status(thm),theory(equality)],[c_280,c_2450]) ).
tff(c_2539,plain,
store(queue_80,tail,index_153) = q2,
inference(demodulation,[status(thm),theory(equality)],[c_2537,c_607]) ).
tff(c_4,plain,
! [A_6,I_4,E_7,J_5] :
( ( select(store(A_6,I_4,E_7),J_5) = select(A_6,J_5) )
| ( J_5 = I_4 ) ),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_17465,plain,
! [J_217] :
( ( select(queue_80,J_217) = select(q2,J_217) )
| ( tail = J_217 ) ),
inference(superposition,[status(thm),theory(equality)],[c_2539,c_4]) ).
tff(c_58648,plain,
! [J_416] :
( ( select(q2,J_416) = select(q1,J_416) )
| ( tail = J_416 )
| ( seq = J_416 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3251,c_17465]) ).
tff(c_442,plain,
store(q2,seq,earray_154) = queue_155,
inference(cnfTransformation,[status(thm)],[f_351]) ).
tff(c_17364,plain,
! [J_212] :
( ( select(queue_155,J_212) = select(q2,J_212) )
| ( seq = J_212 ) ),
inference(superposition,[status(thm),theory(equality)],[c_442,c_3145]) ).
tff(c_12786,plain,
! [J_129] :
( ( select(queue_157,J_129) = select(queue_155,J_129) )
| ( tail = J_129 ) ),
inference(superposition,[status(thm),theory(equality)],[c_444,c_3145]) ).
tff(c_284,plain,
select(queue_157,head) = index_158,
inference(cnfTransformation,[status(thm)],[f_272]) ).
tff(c_12795,plain,
( ( select(queue_155,head) = index_158 )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_12786,c_284]) ).
tff(c_12807,plain,
select(queue_155,head) = index_158,
inference(negUnitSimplification,[status(thm)],[c_6,c_12795]) ).
tff(c_17370,plain,
( ( select(q2,head) = index_158 )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_17364,c_12807]) ).
tff(c_17384,plain,
select(q2,head) = index_158,
inference(negUnitSimplification,[status(thm)],[c_8,c_17370]) ).
tff(c_58654,plain,
( ( select(q1,head) = index_158 )
| ( tail = head )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_58648,c_17384]) ).
tff(c_58674,plain,
select(q1,head) = index_158,
inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_58654]) ).
tff(c_544,plain,
queue_7 = q1,
inference(cnfTransformation,[status(thm)],[f_402]) ).
tff(c_520,plain,
store(queue_5,tail,index_6) = queue_7,
inference(cnfTransformation,[status(thm)],[f_390]) ).
tff(c_610,plain,
store(queue_5,tail,index_6) = q1,
inference(demodulation,[status(thm),theory(equality)],[c_544,c_520]) ).
tff(c_3209,plain,
! [J_73] :
( ( select(queue_5,J_73) = select(q1,J_73) )
| ( tail = J_73 ) ),
inference(superposition,[status(thm),theory(equality)],[c_610,c_3145]) ).
tff(c_506,plain,
store(q0,seq,earray_4) = queue_5,
inference(cnfTransformation,[status(thm)],[f_383]) ).
tff(c_17276,plain,
! [J_209] :
( ( select(queue_5,J_209) = select(q0,J_209) )
| ( seq = J_209 ) ),
inference(superposition,[status(thm),theory(equality)],[c_506,c_3145]) ).
tff(c_17291,plain,
! [J_73] :
( ( select(q1,J_73) = select(q0,J_73) )
| ( seq = J_73 )
| ( tail = J_73 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3209,c_17276]) ).
tff(c_58692,plain,
( ( select(q0,head) = index_158 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_58674,c_17291]) ).
tff(c_58698,plain,
( ( index_158 = index_0 )
| ( seq = head )
| ( tail = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2417,c_58692]) ).
tff(c_58699,plain,
index_158 = index_0,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_58698]) ).
tff(c_286,plain,
s(index_158) = index_159,
inference(cnfTransformation,[status(thm)],[f_273]) ).
tff(c_58717,plain,
s(index_0) = index_159,
inference(demodulation,[status(thm),theory(equality)],[c_58699,c_286]) ).
tff(c_236,plain,
select(q,tail) = index_0,
inference(cnfTransformation,[status(thm)],[f_248]) ).
tff(c_14428,plain,
! [J_160] :
( ( select(q0,J_160) = select(q,J_160) )
| ( head = J_160 ) ),
inference(superposition,[status(thm),theory(equality)],[c_635,c_3145]) ).
tff(c_340,plain,
select(q0,tail) = index_3,
inference(cnfTransformation,[status(thm)],[f_300]) ).
tff(c_14440,plain,
( ( select(q,tail) = index_3 )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_14428,c_340]) ).
tff(c_14456,plain,
( ( index_3 = index_0 )
| ( tail = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_236,c_14440]) ).
tff(c_14457,plain,
index_3 = index_0,
inference(negUnitSimplification,[status(thm)],[c_6,c_14456]) ).
tff(c_364,plain,
s(index_3) = index_6,
inference(cnfTransformation,[status(thm)],[f_312]) ).
tff(c_14473,plain,
s(index_0) = index_6,
inference(demodulation,[status(thm),theory(equality)],[c_14457,c_364]) ).
tff(c_58724,plain,
index_6 = index_159,
inference(demodulation,[status(thm),theory(equality)],[c_58717,c_14473]) ).
tff(c_2282,plain,
select(q1,tail) = index_6,
inference(superposition,[status(thm),theory(equality)],[c_610,c_2225]) ).
tff(c_380,plain,
select(q1,tail) = index_78,
inference(cnfTransformation,[status(thm)],[f_320]) ).
tff(c_8877,plain,
index_78 = index_6,
inference(demodulation,[status(thm),theory(equality)],[c_2282,c_380]) ).
tff(c_382,plain,
s(index_78) = index_81,
inference(cnfTransformation,[status(thm)],[f_321]) ).
tff(c_2543,plain,
s(index_78) = index_153,
inference(demodulation,[status(thm),theory(equality)],[c_2537,c_382]) ).
tff(c_8883,plain,
s(index_6) = index_153,
inference(demodulation,[status(thm),theory(equality)],[c_8877,c_2543]) ).
tff(c_58941,plain,
s(index_159) = index_153,
inference(demodulation,[status(thm),theory(equality)],[c_58724,c_8883]) ).
tff(c_2351,plain,
select(q3,head) = index_159,
inference(superposition,[status(thm),theory(equality)],[c_625,c_2225]) ).
tff(c_460,plain,
store(q4,seq,earray_178) = queue_179,
inference(cnfTransformation,[status(thm)],[f_360]) ).
tff(c_13204,plain,
! [J_144] :
( ( select(queue_179,J_144) = select(q4,J_144) )
| ( seq = J_144 ) ),
inference(superposition,[status(thm),theory(equality)],[c_460,c_3145]) ).
tff(c_3260,plain,
! [J_73] :
( ( select(queue_179,J_73) = select(q5,J_73) )
| ( tail = J_73 ) ),
inference(superposition,[status(thm),theory(equality)],[c_622,c_3145]) ).
tff(c_57871,plain,
! [J_414] :
( ( select(q5,J_414) = select(q4,J_414) )
| ( tail = J_414 )
| ( seq = J_414 ) ),
inference(superposition,[status(thm),theory(equality)],[c_13204,c_3260]) ).
tff(c_464,plain,
store(q5,seq,earray_184) = queue_185,
inference(cnfTransformation,[status(thm)],[f_362]) ).
tff(c_3368,plain,
! [J_73] :
( ( select(queue_185,J_73) = select(q5,J_73) )
| ( seq = J_73 ) ),
inference(superposition,[status(thm),theory(equality)],[c_464,c_3145]) ).
tff(c_466,plain,
store(queue_185,tail,index_186) = queue_187,
inference(cnfTransformation,[status(thm)],[f_363]) ).
tff(c_16503,plain,
! [J_195] :
( ( select(queue_187,J_195) = select(queue_185,J_195) )
| ( tail = J_195 ) ),
inference(superposition,[status(thm),theory(equality)],[c_466,c_3145]) ).
tff(c_310,plain,
select(queue_187,head) = index_188,
inference(cnfTransformation,[status(thm)],[f_285]) ).
tff(c_16515,plain,
( ( select(queue_185,head) = index_188 )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_16503,c_310]) ).
tff(c_16530,plain,
select(queue_185,head) = index_188,
inference(negUnitSimplification,[status(thm)],[c_6,c_16515]) ).
tff(c_16566,plain,
( ( select(q5,head) = index_188 )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_3368,c_16530]) ).
tff(c_16570,plain,
select(q5,head) = index_188,
inference(negUnitSimplification,[status(thm)],[c_8,c_16566]) ).
tff(c_57877,plain,
( ( select(q4,head) = index_188 )
| ( tail = head )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_57871,c_16570]) ).
tff(c_57897,plain,
select(q4,head) = index_188,
inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_57877]) ).
tff(c_456,plain,
store(q3,seq,earray_172) = queue_173,
inference(cnfTransformation,[status(thm)],[f_358]) ).
tff(c_3332,plain,
! [J_73] :
( ( select(queue_173,J_73) = select(q3,J_73) )
| ( seq = J_73 ) ),
inference(superposition,[status(thm),theory(equality)],[c_456,c_3145]) ).
tff(c_16682,plain,
! [J_200] :
( ( select(queue_173,J_200) = select(q4,J_200) )
| ( tail = J_200 ) ),
inference(superposition,[status(thm),theory(equality)],[c_623,c_3145]) ).
tff(c_16697,plain,
! [J_73] :
( ( select(q4,J_73) = select(q3,J_73) )
| ( tail = J_73 )
| ( seq = J_73 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3332,c_16682]) ).
tff(c_57915,plain,
( ( select(q3,head) = index_188 )
| ( tail = head )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_57897,c_16697]) ).
tff(c_57921,plain,
( ( index_188 = index_159 )
| ( tail = head )
| ( seq = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2351,c_57915]) ).
tff(c_57922,plain,
index_188 = index_159,
inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_57921]) ).
tff(c_312,plain,
s(index_188) = index_189,
inference(cnfTransformation,[status(thm)],[f_286]) ).
tff(c_57939,plain,
s(index_159) = index_189,
inference(demodulation,[status(thm),theory(equality)],[c_57922,c_312]) ).
tff(c_59020,plain,
index_189 = index_153,
inference(demodulation,[status(thm),theory(equality)],[c_58941,c_57939]) ).
tff(c_596,plain,
queue_190 = q6,
inference(cnfTransformation,[status(thm)],[f_428]) ).
tff(c_470,plain,
store(queue_187,head,index_189) = queue_190,
inference(cnfTransformation,[status(thm)],[f_365]) ).
tff(c_620,plain,
store(queue_187,head,index_189) = q6,
inference(demodulation,[status(thm),theory(equality)],[c_596,c_470]) ).
tff(c_2462,plain,
select(q6,head) = index_189,
inference(superposition,[status(thm),theory(equality)],[c_620,c_2225]) ).
tff(c_598,plain,
queue_196 = q7,
inference(cnfTransformation,[status(thm)],[f_429]) ).
tff(c_474,plain,
store(queue_194,tail,index_195) = queue_196,
inference(cnfTransformation,[status(thm)],[f_367]) ).
tff(c_619,plain,
store(queue_194,tail,index_195) = q7,
inference(demodulation,[status(thm),theory(equality)],[c_598,c_474]) ).
tff(c_3242,plain,
! [J_73] :
( ( select(queue_194,J_73) = select(q7,J_73) )
| ( tail = J_73 ) ),
inference(superposition,[status(thm),theory(equality)],[c_619,c_3145]) ).
tff(c_472,plain,
store(q6,seq,earray_193) = queue_194,
inference(cnfTransformation,[status(thm)],[f_366]) ).
tff(c_16657,plain,
! [J_199] :
( ( select(queue_194,J_199) = select(q6,J_199) )
| ( seq = J_199 ) ),
inference(superposition,[status(thm),theory(equality)],[c_472,c_3145]) ).
tff(c_57480,plain,
! [J_411] :
( ( select(q7,J_411) = select(q6,J_411) )
| ( seq = J_411 )
| ( tail = J_411 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3242,c_16657]) ).
tff(c_476,plain,
store(q7,seq,earray_199) = queue_200,
inference(cnfTransformation,[status(thm)],[f_368]) ).
tff(c_3233,plain,
! [J_73] :
( ( select(queue_200,J_73) = select(q7,J_73) )
| ( seq = J_73 ) ),
inference(superposition,[status(thm),theory(equality)],[c_476,c_3145]) ).
tff(c_600,plain,
queue_202 = q8,
inference(cnfTransformation,[status(thm)],[f_430]) ).
tff(c_478,plain,
store(queue_200,tail,index_201) = queue_202,
inference(cnfTransformation,[status(thm)],[f_369]) ).
tff(c_618,plain,
store(queue_200,tail,index_201) = q8,
inference(demodulation,[status(thm),theory(equality)],[c_600,c_478]) ).
tff(c_13282,plain,
! [J_146] :
( ( select(queue_200,J_146) = select(q8,J_146) )
| ( tail = J_146 ) ),
inference(superposition,[status(thm),theory(equality)],[c_618,c_3145]) ).
tff(c_36239,plain,
! [J_330] :
( ( select(q8,J_330) = select(q7,J_330) )
| ( tail = J_330 )
| ( seq = J_330 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3233,c_13282]) ).
tff(c_480,plain,
store(q8,seq,earray_205) = queue_206,
inference(cnfTransformation,[status(thm)],[f_370]) ).
tff(c_13079,plain,
! [J_138] :
( ( select(queue_206,J_138) = select(q8,J_138) )
| ( seq = J_138 ) ),
inference(superposition,[status(thm),theory(equality)],[c_480,c_3145]) ).
tff(c_482,plain,
store(queue_206,tail,index_207) = queue_208,
inference(cnfTransformation,[status(thm)],[f_371]) ).
tff(c_12311,plain,
! [J_122] :
( ( select(queue_208,J_122) = select(queue_206,J_122) )
| ( tail = J_122 ) ),
inference(superposition,[status(thm),theory(equality)],[c_482,c_3145]) ).
tff(c_326,plain,
select(queue_208,head) = index_209,
inference(cnfTransformation,[status(thm)],[f_293]) ).
tff(c_12320,plain,
( ( select(queue_206,head) = index_209 )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_12311,c_326]) ).
tff(c_12332,plain,
select(queue_206,head) = index_209,
inference(negUnitSimplification,[status(thm)],[c_6,c_12320]) ).
tff(c_13085,plain,
( ( select(q8,head) = index_209 )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_13079,c_12332]) ).
tff(c_13099,plain,
select(q8,head) = index_209,
inference(negUnitSimplification,[status(thm)],[c_8,c_13085]) ).
tff(c_36248,plain,
( ( select(q7,head) = index_209 )
| ( tail = head )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_36239,c_13099]) ).
tff(c_36268,plain,
select(q7,head) = index_209,
inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_36248]) ).
tff(c_57486,plain,
( ( select(q6,head) = index_209 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_57480,c_36268]) ).
tff(c_57506,plain,
( ( index_209 = index_189 )
| ( seq = head )
| ( tail = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2462,c_57486]) ).
tff(c_57507,plain,
index_209 = index_189,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_57506]) ).
tff(c_330,plain,
s(index_209) = index_210,
inference(cnfTransformation,[status(thm)],[f_295]) ).
tff(c_57537,plain,
s(index_189) = index_210,
inference(demodulation,[status(thm),theory(equality)],[c_57507,c_330]) ).
tff(c_59240,plain,
s(index_153) = index_210,
inference(demodulation,[status(thm),theory(equality)],[c_59020,c_57537]) ).
tff(c_59244,plain,
index_210 = index_156,
inference(demodulation,[status(thm),theory(equality)],[c_282,c_59240]) ).
tff(c_3281,plain,
! [J_73] :
( ( select(queue_17,J_73) = select(q11,J_73) )
| ( tail = J_73 ) ),
inference(superposition,[status(thm),theory(equality)],[c_621,c_3145]) ).
tff(c_454,plain,
store(q10,seq,earray_16) = queue_17,
inference(cnfTransformation,[status(thm)],[f_357]) ).
tff(c_15138,plain,
! [J_168] :
( ( select(queue_17,J_168) = select(q10,J_168) )
| ( seq = J_168 ) ),
inference(superposition,[status(thm),theory(equality)],[c_454,c_3145]) ).
tff(c_36892,plain,
! [J_338] :
( ( select(q11,J_338) = select(q10,J_338) )
| ( seq = J_338 )
| ( tail = J_338 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3281,c_15138]) ).
tff(c_486,plain,
store(q11,seq,earray_22) = queue_23,
inference(cnfTransformation,[status(thm)],[f_373]) ).
tff(c_17306,plain,
! [J_210] :
( ( select(queue_23,J_210) = select(q11,J_210) )
| ( seq = J_210 ) ),
inference(superposition,[status(thm),theory(equality)],[c_486,c_3145]) ).
tff(c_17189,plain,
! [J_206] :
( ( select(queue_25,J_206) = select(queue_23,J_206) )
| ( tail = J_206 ) ),
inference(superposition,[status(thm),theory(equality)],[c_488,c_3145]) ).
tff(c_336,plain,
select(queue_25,head) = index_26,
inference(cnfTransformation,[status(thm)],[f_298]) ).
tff(c_17201,plain,
( ( select(queue_23,head) = index_26 )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_17189,c_336]) ).
tff(c_17216,plain,
select(queue_23,head) = index_26,
inference(negUnitSimplification,[status(thm)],[c_6,c_17201]) ).
tff(c_17312,plain,
( ( select(q11,head) = index_26 )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_17306,c_17216]) ).
tff(c_17326,plain,
select(q11,head) = index_26,
inference(negUnitSimplification,[status(thm)],[c_8,c_17312]) ).
tff(c_36898,plain,
( ( select(q10,head) = index_26 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_36892,c_17326]) ).
tff(c_36918,plain,
select(q10,head) = index_26,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_36898]) ).
tff(c_15739,plain,
! [J_178] :
( ( select(queue_11,J_178) = select(q10,J_178) )
| ( tail = J_178 ) ),
inference(superposition,[status(thm),theory(equality)],[c_630,c_3145]) ).
tff(c_410,plain,
store(q9,seq,earray_10) = queue_11,
inference(cnfTransformation,[status(thm)],[f_335]) ).
tff(c_3413,plain,
! [J_73] :
( ( select(queue_11,J_73) = select(q9,J_73) )
| ( seq = J_73 ) ),
inference(superposition,[status(thm),theory(equality)],[c_410,c_3145]) ).
tff(c_58254,plain,
! [J_415] :
( ( select(q9,J_415) = select(q10,J_415) )
| ( seq = J_415 )
| ( tail = J_415 ) ),
inference(superposition,[status(thm),theory(equality)],[c_15739,c_3413]) ).
tff(c_602,plain,
queue_211 = q9,
inference(cnfTransformation,[status(thm)],[f_431]) ).
tff(c_484,plain,
store(queue_208,head,index_210) = queue_211,
inference(cnfTransformation,[status(thm)],[f_372]) ).
tff(c_617,plain,
store(queue_208,head,index_210) = q9,
inference(demodulation,[status(thm),theory(equality)],[c_602,c_484]) ).
tff(c_2471,plain,
select(q9,head) = index_210,
inference(superposition,[status(thm),theory(equality)],[c_617,c_2225]) ).
tff(c_58266,plain,
( ( select(q10,head) = index_210 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_58254,c_2471]) ).
tff(c_58286,plain,
( ( index_26 = index_210 )
| ( seq = head )
| ( tail = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36918,c_58266]) ).
tff(c_58287,plain,
index_26 = index_210,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_58286]) ).
tff(c_338,plain,
s(index_26) = index_27,
inference(cnfTransformation,[status(thm)],[f_299]) ).
tff(c_58312,plain,
s(index_210) = index_27,
inference(demodulation,[status(thm),theory(equality)],[c_58287,c_338]) ).
tff(c_59266,plain,
s(index_156) = index_27,
inference(demodulation,[status(thm),theory(equality)],[c_59244,c_58312]) ).
tff(c_59278,plain,
index_27 = index_174,
inference(demodulation,[status(thm),theory(equality)],[c_13276,c_59266]) ).
tff(c_2390,plain,
select(q12,head) = index_27,
inference(superposition,[status(thm),theory(equality)],[c_616,c_2225]) ).
tff(c_492,plain,
store(q12,seq,earray_31) = queue_32,
inference(cnfTransformation,[status(thm)],[f_376]) ).
tff(c_3410,plain,
! [J_73] :
( ( select(queue_32,J_73) = select(q12,J_73) )
| ( seq = J_73 ) ),
inference(superposition,[status(thm),theory(equality)],[c_492,c_3145]) ).
tff(c_15198,plain,
! [J_169] :
( ( select(queue_32,J_169) = select(q13,J_169) )
| ( tail = J_169 ) ),
inference(superposition,[status(thm),theory(equality)],[c_615,c_3145]) ).
tff(c_36938,plain,
! [J_339] :
( ( select(q13,J_339) = select(q12,J_339) )
| ( tail = J_339 )
| ( seq = J_339 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3410,c_15198]) ).
tff(c_13542,plain,
! [J_147] :
( ( select(queue_38,J_147) = select(q14,J_147) )
| ( tail = J_147 ) ),
inference(superposition,[status(thm),theory(equality)],[c_614,c_3145]) ).
tff(c_496,plain,
store(q13,seq,earray_37) = queue_38,
inference(cnfTransformation,[status(thm)],[f_378]) ).
tff(c_3257,plain,
! [J_73] :
( ( select(queue_38,J_73) = select(q13,J_73) )
| ( seq = J_73 ) ),
inference(superposition,[status(thm),theory(equality)],[c_496,c_3145]) ).
tff(c_36103,plain,
! [J_327] :
( ( select(q14,J_327) = select(q13,J_327) )
| ( seq = J_327 )
| ( tail = J_327 ) ),
inference(superposition,[status(thm),theory(equality)],[c_13542,c_3257]) ).
tff(c_500,plain,
store(q14,seq,earray_43) = queue_44,
inference(cnfTransformation,[status(thm)],[f_380]) ).
tff(c_12945,plain,
! [J_134] :
( ( select(queue_44,J_134) = select(q14,J_134) )
| ( seq = J_134 ) ),
inference(superposition,[status(thm),theory(equality)],[c_500,c_3145]) ).
tff(c_12698,plain,
! [J_127] :
( ( select(queue_46,J_127) = select(queue_44,J_127) )
| ( tail = J_127 ) ),
inference(superposition,[status(thm),theory(equality)],[c_502,c_3145]) ).
tff(c_354,plain,
select(queue_46,head) = index_47,
inference(cnfTransformation,[status(thm)],[f_307]) ).
tff(c_12710,plain,
( ( select(queue_44,head) = index_47 )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_12698,c_354]) ).
tff(c_12725,plain,
select(queue_44,head) = index_47,
inference(negUnitSimplification,[status(thm)],[c_6,c_12710]) ).
tff(c_12951,plain,
( ( select(q14,head) = index_47 )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_12945,c_12725]) ).
tff(c_12965,plain,
select(q14,head) = index_47,
inference(negUnitSimplification,[status(thm)],[c_8,c_12951]) ).
tff(c_36112,plain,
( ( select(q13,head) = index_47 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_36103,c_12965]) ).
tff(c_36132,plain,
select(q13,head) = index_47,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_36112]) ).
tff(c_36944,plain,
( ( select(q12,head) = index_47 )
| ( tail = head )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_36938,c_36132]) ).
tff(c_36964,plain,
( ( index_47 = index_27 )
| ( tail = head )
| ( seq = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2390,c_36944]) ).
tff(c_36965,plain,
index_47 = index_27,
inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_36964]) ).
tff(c_356,plain,
s(index_47) = index_48,
inference(cnfTransformation,[status(thm)],[f_308]) ).
tff(c_36994,plain,
s(index_27) = index_48,
inference(demodulation,[status(thm),theory(equality)],[c_36965,c_356]) ).
tff(c_59307,plain,
s(index_174) = index_48,
inference(demodulation,[status(thm),theory(equality)],[c_59278,c_36994]) ).
tff(c_59313,plain,
index_48 = index_180,
inference(demodulation,[status(thm),theory(equality)],[c_10624,c_59307]) ).
tff(c_2261,plain,
select(q15,head) = index_48,
inference(superposition,[status(thm),theory(equality)],[c_613,c_2225]) ).
tff(c_3245,plain,
! [J_73] :
( ( select(queue_59,J_73) = select(q17,J_73) )
| ( tail = J_73 ) ),
inference(superposition,[status(thm),theory(equality)],[c_611,c_3145]) ).
tff(c_512,plain,
store(q16,seq,earray_58) = queue_59,
inference(cnfTransformation,[status(thm)],[f_386]) ).
tff(c_12858,plain,
! [J_131] :
( ( select(queue_59,J_131) = select(q16,J_131) )
| ( seq = J_131 ) ),
inference(superposition,[status(thm),theory(equality)],[c_512,c_3145]) ).
tff(c_36364,plain,
! [J_333] :
( ( select(q17,J_333) = select(q16,J_333) )
| ( seq = J_333 )
| ( tail = J_333 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3245,c_12858]) ).
tff(c_516,plain,
store(q17,seq,earray_64) = queue_65,
inference(cnfTransformation,[status(thm)],[f_388]) ).
tff(c_3437,plain,
! [J_73] :
( ( select(queue_65,J_73) = select(q17,J_73) )
| ( seq = J_73 ) ),
inference(superposition,[status(thm),theory(equality)],[c_516,c_3145]) ).
tff(c_12883,plain,
! [J_132] :
( ( select(queue_67,J_132) = select(queue_65,J_132) )
| ( tail = J_132 ) ),
inference(superposition,[status(thm),theory(equality)],[c_518,c_3145]) ).
tff(c_372,plain,
select(queue_67,head) = index_68,
inference(cnfTransformation,[status(thm)],[f_316]) ).
tff(c_12892,plain,
( ( select(queue_65,head) = index_68 )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_12883,c_372]) ).
tff(c_12904,plain,
select(queue_65,head) = index_68,
inference(negUnitSimplification,[status(thm)],[c_6,c_12892]) ).
tff(c_12915,plain,
( ( select(q17,head) = index_68 )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_3437,c_12904]) ).
tff(c_12919,plain,
select(q17,head) = index_68,
inference(negUnitSimplification,[status(thm)],[c_8,c_12915]) ).
tff(c_36370,plain,
( ( select(q16,head) = index_68 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_36364,c_12919]) ).
tff(c_36390,plain,
select(q16,head) = index_68,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_36370]) ).
tff(c_16253,plain,
! [J_186] :
( ( select(queue_53,J_186) = select(q16,J_186) )
| ( tail = J_186 ) ),
inference(superposition,[status(thm),theory(equality)],[c_612,c_3145]) ).
tff(c_508,plain,
store(q15,seq,earray_52) = queue_53,
inference(cnfTransformation,[status(thm)],[f_384]) ).
tff(c_3452,plain,
! [J_73] :
( ( select(queue_53,J_73) = select(q15,J_73) )
| ( seq = J_73 ) ),
inference(superposition,[status(thm),theory(equality)],[c_508,c_3145]) ).
tff(c_16259,plain,
! [J_186] :
( ( select(q16,J_186) = select(q15,J_186) )
| ( seq = J_186 )
| ( tail = J_186 ) ),
inference(superposition,[status(thm),theory(equality)],[c_16253,c_3452]) ).
tff(c_36408,plain,
( ( select(q15,head) = index_68 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_36390,c_16259]) ).
tff(c_36414,plain,
( ( index_68 = index_48 )
| ( seq = head )
| ( tail = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2261,c_36408]) ).
tff(c_36415,plain,
index_68 = index_48,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_36414]) ).
tff(c_374,plain,
s(index_68) = index_69,
inference(cnfTransformation,[status(thm)],[f_317]) ).
tff(c_36434,plain,
s(index_48) = index_69,
inference(demodulation,[status(thm),theory(equality)],[c_36415,c_374]) ).
tff(c_59353,plain,
s(index_180) = index_69,
inference(demodulation,[status(thm),theory(equality)],[c_59313,c_36434]) ).
tff(c_59357,plain,
index_69 = index_186,
inference(demodulation,[status(thm),theory(equality)],[c_6181,c_59353]) ).
tff(c_570,plain,
queue_97 = q21,
inference(cnfTransformation,[status(thm)],[f_415]) ).
tff(c_540,plain,
store(queue_94,head,index_96) = queue_97,
inference(cnfTransformation,[status(thm)],[f_400]) ).
tff(c_605,plain,
store(queue_94,head,index_96) = q21,
inference(demodulation,[status(thm),theory(equality)],[c_570,c_540]) ).
tff(c_2522,plain,
select(q21,head) = index_96,
inference(superposition,[status(thm),theory(equality)],[c_605,c_2225]) ).
tff(c_572,plain,
queue_103 = q22,
inference(cnfTransformation,[status(thm)],[f_416]) ).
tff(c_404,plain,
store(queue_101,tail,index_102) = queue_103,
inference(cnfTransformation,[status(thm)],[f_332]) ).
tff(c_634,plain,
store(queue_101,tail,index_102) = q22,
inference(demodulation,[status(thm),theory(equality)],[c_572,c_404]) ).
tff(c_3290,plain,
! [J_73] :
( ( select(queue_101,J_73) = select(q22,J_73) )
| ( tail = J_73 ) ),
inference(superposition,[status(thm),theory(equality)],[c_634,c_3145]) ).
tff(c_402,plain,
store(q21,seq,earray_100) = queue_101,
inference(cnfTransformation,[status(thm)],[f_331]) ).
tff(c_15865,plain,
! [J_182] :
( ( select(queue_101,J_182) = select(q21,J_182) )
| ( seq = J_182 ) ),
inference(superposition,[status(thm),theory(equality)],[c_402,c_3145]) ).
tff(c_56613,plain,
! [J_406] :
( ( select(q22,J_406) = select(q21,J_406) )
| ( seq = J_406 )
| ( tail = J_406 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3290,c_15865]) ).
tff(c_574,plain,
queue_109 = q23,
inference(cnfTransformation,[status(thm)],[f_417]) ).
tff(c_408,plain,
store(queue_107,tail,index_108) = queue_109,
inference(cnfTransformation,[status(thm)],[f_334]) ).
tff(c_633,plain,
store(queue_107,tail,index_108) = q23,
inference(demodulation,[status(thm),theory(equality)],[c_574,c_408]) ).
tff(c_16714,plain,
! [J_201] :
( ( select(queue_107,J_201) = select(q23,J_201) )
| ( tail = J_201 ) ),
inference(superposition,[status(thm),theory(equality)],[c_633,c_3145]) ).
tff(c_406,plain,
store(q22,seq,earray_106) = queue_107,
inference(cnfTransformation,[status(thm)],[f_333]) ).
tff(c_3173,plain,
! [J_73] :
( ( select(queue_107,J_73) = select(q22,J_73) )
| ( seq = J_73 ) ),
inference(superposition,[status(thm),theory(equality)],[c_406,c_3145]) ).
tff(c_18340,plain,
! [J_234] :
( ( select(q23,J_234) = select(q22,J_234) )
| ( seq = J_234 )
| ( tail = J_234 ) ),
inference(superposition,[status(thm),theory(equality)],[c_16714,c_3173]) ).
tff(c_412,plain,
store(q23,seq,earray_112) = queue_113,
inference(cnfTransformation,[status(thm)],[f_336]) ).
tff(c_16392,plain,
! [J_190] :
( ( select(queue_113,J_190) = select(q23,J_190) )
| ( seq = J_190 ) ),
inference(superposition,[status(thm),theory(equality)],[c_412,c_3145]) ).
tff(c_248,plain,
select(queue_115,head) = index_116,
inference(cnfTransformation,[status(thm)],[f_254]) ).
tff(c_414,plain,
store(queue_113,tail,index_114) = queue_115,
inference(cnfTransformation,[status(thm)],[f_337]) ).
tff(c_16285,plain,
! [J_187] :
( ( select(queue_115,J_187) = select(queue_113,J_187) )
| ( tail = J_187 ) ),
inference(superposition,[status(thm),theory(equality)],[c_414,c_3145]) ).
tff(c_16309,plain,
( ( select(queue_113,head) = index_116 )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_248,c_16285]) ).
tff(c_16315,plain,
select(queue_113,head) = index_116,
inference(negUnitSimplification,[status(thm)],[c_6,c_16309]) ).
tff(c_16398,plain,
( ( select(q23,head) = index_116 )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_16392,c_16315]) ).
tff(c_16412,plain,
select(q23,head) = index_116,
inference(negUnitSimplification,[status(thm)],[c_8,c_16398]) ).
tff(c_18349,plain,
( ( select(q22,head) = index_116 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_18340,c_16412]) ).
tff(c_18369,plain,
select(q22,head) = index_116,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_18349]) ).
tff(c_56619,plain,
( ( select(q21,head) = index_116 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_56613,c_18369]) ).
tff(c_56639,plain,
( ( index_96 = index_116 )
| ( seq = head )
| ( tail = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2522,c_56619]) ).
tff(c_56640,plain,
index_96 = index_116,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_56639]) ).
tff(c_2288,plain,
select(q18,head) = index_69,
inference(superposition,[status(thm),theory(equality)],[c_609,c_2225]) ).
tff(c_3305,plain,
! [J_73] :
( ( select(queue_74,J_73) = select(q19,J_73) )
| ( tail = J_73 ) ),
inference(superposition,[status(thm),theory(equality)],[c_608,c_3145]) ).
tff(c_524,plain,
store(q18,seq,earray_73) = queue_74,
inference(cnfTransformation,[status(thm)],[f_392]) ).
tff(c_17338,plain,
! [J_211] :
( ( select(queue_74,J_211) = select(q18,J_211) )
| ( seq = J_211 ) ),
inference(superposition,[status(thm),theory(equality)],[c_524,c_3145]) ).
tff(c_17934,plain,
! [J_230] :
( ( select(q19,J_230) = select(q18,J_230) )
| ( seq = J_230 )
| ( tail = J_230 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3305,c_17338]) ).
tff(c_3224,plain,
! [J_73] :
( ( select(queue_86,J_73) = select(q20,J_73) )
| ( tail = J_73 ) ),
inference(superposition,[status(thm),theory(equality)],[c_606,c_3145]) ).
tff(c_532,plain,
store(q19,seq,earray_85) = queue_86,
inference(cnfTransformation,[status(thm)],[f_396]) ).
tff(c_17396,plain,
! [J_213] :
( ( select(queue_86,J_213) = select(q19,J_213) )
| ( seq = J_213 ) ),
inference(superposition,[status(thm),theory(equality)],[c_532,c_3145]) ).
tff(c_17854,plain,
! [J_228] :
( ( select(q20,J_228) = select(q19,J_228) )
| ( seq = J_228 )
| ( tail = J_228 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3224,c_17396]) ).
tff(c_536,plain,
store(q20,seq,earray_91) = queue_92,
inference(cnfTransformation,[status(thm)],[f_398]) ).
tff(c_3386,plain,
! [J_73] :
( ( select(queue_92,J_73) = select(q20,J_73) )
| ( seq = J_73 ) ),
inference(superposition,[status(thm),theory(equality)],[c_536,c_3145]) ).
tff(c_538,plain,
store(queue_92,tail,index_93) = queue_94,
inference(cnfTransformation,[status(thm)],[f_399]) ).
tff(c_16534,plain,
! [J_196] :
( ( select(queue_94,J_196) = select(queue_92,J_196) )
| ( tail = J_196 ) ),
inference(superposition,[status(thm),theory(equality)],[c_538,c_3145]) ).
tff(c_394,plain,
select(queue_94,head) = index_95,
inference(cnfTransformation,[status(thm)],[f_327]) ).
tff(c_16543,plain,
( ( select(queue_92,head) = index_95 )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_16534,c_394]) ).
tff(c_16555,plain,
select(queue_92,head) = index_95,
inference(negUnitSimplification,[status(thm)],[c_6,c_16543]) ).
tff(c_16579,plain,
( ( select(q20,head) = index_95 )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_3386,c_16555]) ).
tff(c_16583,plain,
select(q20,head) = index_95,
inference(negUnitSimplification,[status(thm)],[c_8,c_16579]) ).
tff(c_17860,plain,
( ( select(q19,head) = index_95 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_17854,c_16583]) ).
tff(c_17880,plain,
select(q19,head) = index_95,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_17860]) ).
tff(c_17940,plain,
( ( select(q18,head) = index_95 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_17934,c_17880]) ).
tff(c_17960,plain,
( ( index_95 = index_69 )
| ( seq = head )
| ( tail = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2288,c_17940]) ).
tff(c_17961,plain,
index_95 = index_69,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_17960]) ).
tff(c_396,plain,
s(index_95) = index_96,
inference(cnfTransformation,[status(thm)],[f_328]) ).
tff(c_17990,plain,
s(index_69) = index_96,
inference(demodulation,[status(thm),theory(equality)],[c_17961,c_396]) ).
tff(c_56685,plain,
s(index_69) = index_116,
inference(demodulation,[status(thm),theory(equality)],[c_56640,c_17990]) ).
tff(c_59383,plain,
s(index_186) = index_116,
inference(demodulation,[status(thm),theory(equality)],[c_59357,c_56685]) ).
tff(c_314,plain,
select(q6,tail) = index_192,
inference(cnfTransformation,[status(thm)],[f_287]) ).
tff(c_12341,plain,
! [J_123] :
( ( select(queue_187,J_123) = select(q6,J_123) )
| ( head = J_123 ) ),
inference(superposition,[status(thm),theory(equality)],[c_620,c_3145]) ).
tff(c_2360,plain,
select(queue_187,tail) = index_186,
inference(superposition,[status(thm),theory(equality)],[c_466,c_2225]) ).
tff(c_12347,plain,
( ( select(q6,tail) = index_186 )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_12341,c_2360]) ).
tff(c_12361,plain,
( ( index_192 = index_186 )
| ( tail = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_314,c_12347]) ).
tff(c_12362,plain,
index_192 = index_186,
inference(negUnitSimplification,[status(thm)],[c_6,c_12361]) ).
tff(c_316,plain,
s(index_192) = index_195,
inference(cnfTransformation,[status(thm)],[f_288]) ).
tff(c_12381,plain,
s(index_186) = index_195,
inference(demodulation,[status(thm),theory(equality)],[c_12362,c_316]) ).
tff(c_59412,plain,
index_195 = index_116,
inference(demodulation,[status(thm),theory(equality)],[c_59383,c_12381]) ).
tff(c_2318,plain,
select(q7,tail) = index_195,
inference(superposition,[status(thm),theory(equality)],[c_619,c_2225]) ).
tff(c_318,plain,
select(q7,tail) = index_198,
inference(cnfTransformation,[status(thm)],[f_289]) ).
tff(c_5451,plain,
index_198 = index_195,
inference(demodulation,[status(thm),theory(equality)],[c_2318,c_318]) ).
tff(c_320,plain,
s(index_198) = index_201,
inference(cnfTransformation,[status(thm)],[f_290]) ).
tff(c_5460,plain,
s(index_195) = index_201,
inference(demodulation,[status(thm),theory(equality)],[c_5451,c_320]) ).
tff(c_59636,plain,
s(index_116) = index_201,
inference(demodulation,[status(thm),theory(equality)],[c_59412,c_5460]) ).
tff(c_59642,plain,
index_201 = index_117,
inference(demodulation,[status(thm),theory(equality)],[c_250,c_59636]) ).
tff(c_2348,plain,
select(q8,tail) = index_201,
inference(superposition,[status(thm),theory(equality)],[c_618,c_2225]) ).
tff(c_322,plain,
select(q8,tail) = index_204,
inference(cnfTransformation,[status(thm)],[f_291]) ).
tff(c_2974,plain,
index_204 = index_201,
inference(demodulation,[status(thm),theory(equality)],[c_2348,c_322]) ).
tff(c_324,plain,
s(index_204) = index_207,
inference(cnfTransformation,[status(thm)],[f_292]) ).
tff(c_2983,plain,
s(index_201) = index_207,
inference(demodulation,[status(thm),theory(equality)],[c_2974,c_324]) ).
tff(c_59676,plain,
s(index_117) = index_207,
inference(demodulation,[status(thm),theory(equality)],[c_59642,c_2983]) ).
tff(c_59681,plain,
index_207 = index_138,
inference(demodulation,[status(thm),theory(equality)],[c_57005,c_59676]) ).
tff(c_388,plain,
select(q9,tail) = index_9,
inference(cnfTransformation,[status(thm)],[f_324]) ).
tff(c_15424,plain,
! [J_177] :
( ( select(queue_208,J_177) = select(q9,J_177) )
| ( head = J_177 ) ),
inference(superposition,[status(thm),theory(equality)],[c_617,c_3145]) ).
tff(c_2396,plain,
select(queue_208,tail) = index_207,
inference(superposition,[status(thm),theory(equality)],[c_482,c_2225]) ).
tff(c_15433,plain,
( ( select(q9,tail) = index_207 )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_15424,c_2396]) ).
tff(c_15450,plain,
( ( index_9 = index_207 )
| ( tail = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_15433]) ).
tff(c_15451,plain,
index_9 = index_207,
inference(negUnitSimplification,[status(thm)],[c_6,c_15450]) ).
tff(c_252,plain,
s(index_9) = index_12,
inference(cnfTransformation,[status(thm)],[f_256]) ).
tff(c_15471,plain,
s(index_207) = index_12,
inference(demodulation,[status(thm),theory(equality)],[c_15451,c_252]) ).
tff(c_59716,plain,
s(index_138) = index_12,
inference(demodulation,[status(thm),theory(equality)],[c_59681,c_15471]) ).
tff(c_582,plain,
queue_139 = q27,
inference(cnfTransformation,[status(thm)],[f_421]) ).
tff(c_432,plain,
store(queue_136,head,index_138) = queue_139,
inference(cnfTransformation,[status(thm)],[f_346]) ).
tff(c_628,plain,
store(queue_136,head,index_138) = q27,
inference(demodulation,[status(thm),theory(equality)],[c_582,c_432]) ).
tff(c_2456,plain,
select(q27,head) = index_138,
inference(superposition,[status(thm),theory(equality)],[c_628,c_2225]) ).
tff(c_438,plain,
store(q28,seq,earray_148) = queue_149,
inference(cnfTransformation,[status(thm)],[f_349]) ).
tff(c_15325,plain,
! [J_174] :
( ( select(queue_149,J_174) = select(q28,J_174) )
| ( seq = J_174 ) ),
inference(superposition,[status(thm),theory(equality)],[c_438,c_3145]) ).
tff(c_586,plain,
queue_151 = q29,
inference(cnfTransformation,[status(thm)],[f_423]) ).
tff(c_440,plain,
store(queue_149,tail,index_150) = queue_151,
inference(cnfTransformation,[status(thm)],[f_350]) ).
tff(c_626,plain,
store(queue_149,tail,index_150) = q29,
inference(demodulation,[status(thm),theory(equality)],[c_586,c_440]) ).
tff(c_3311,plain,
! [J_73] :
( ( select(queue_149,J_73) = select(q29,J_73) )
| ( tail = J_73 ) ),
inference(superposition,[status(thm),theory(equality)],[c_626,c_3145]) ).
tff(c_35782,plain,
! [J_326] :
( ( select(q29,J_326) = select(q28,J_326) )
| ( tail = J_326 )
| ( seq = J_326 ) ),
inference(superposition,[status(thm),theory(equality)],[c_15325,c_3311]) ).
tff(c_450,plain,
store(queue_164,tail,index_165) = queue_166,
inference(cnfTransformation,[status(thm)],[f_355]) ).
tff(c_15817,plain,
! [J_181] :
( ( select(queue_166,J_181) = select(queue_164,J_181) )
| ( tail = J_181 ) ),
inference(superposition,[status(thm),theory(equality)],[c_450,c_3145]) ).
tff(c_292,plain,
select(queue_166,head) = index_167,
inference(cnfTransformation,[status(thm)],[f_276]) ).
tff(c_15826,plain,
( ( select(queue_164,head) = index_167 )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_15817,c_292]) ).
tff(c_15838,plain,
select(queue_164,head) = index_167,
inference(negUnitSimplification,[status(thm)],[c_6,c_15826]) ).
tff(c_448,plain,
store(q29,seq,earray_163) = queue_164,
inference(cnfTransformation,[status(thm)],[f_354]) ).
tff(c_3422,plain,
! [J_73] :
( ( select(queue_164,J_73) = select(q29,J_73) )
| ( seq = J_73 ) ),
inference(superposition,[status(thm),theory(equality)],[c_448,c_3145]) ).
tff(c_15849,plain,
( ( select(q29,head) = index_167 )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_15838,c_3422]) ).
tff(c_15855,plain,
select(q29,head) = index_167,
inference(negUnitSimplification,[status(thm)],[c_8,c_15849]) ).
tff(c_35788,plain,
( ( select(q28,head) = index_167 )
| ( tail = head )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_35782,c_15855]) ).
tff(c_35808,plain,
select(q28,head) = index_167,
inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_35788]) ).
tff(c_584,plain,
queue_145 = q28,
inference(cnfTransformation,[status(thm)],[f_422]) ).
tff(c_436,plain,
store(queue_143,tail,index_144) = queue_145,
inference(cnfTransformation,[status(thm)],[f_348]) ).
tff(c_627,plain,
store(queue_143,tail,index_144) = q28,
inference(demodulation,[status(thm),theory(equality)],[c_584,c_436]) ).
tff(c_16825,plain,
! [J_204] :
( ( select(queue_143,J_204) = select(q28,J_204) )
| ( tail = J_204 ) ),
inference(superposition,[status(thm),theory(equality)],[c_627,c_3145]) ).
tff(c_434,plain,
store(q27,seq,earray_142) = queue_143,
inference(cnfTransformation,[status(thm)],[f_347]) ).
tff(c_3254,plain,
! [J_73] :
( ( select(queue_143,J_73) = select(q27,J_73) )
| ( seq = J_73 ) ),
inference(superposition,[status(thm),theory(equality)],[c_434,c_3145]) ).
tff(c_16831,plain,
! [J_204] :
( ( select(q28,J_204) = select(q27,J_204) )
| ( seq = J_204 )
| ( tail = J_204 ) ),
inference(superposition,[status(thm),theory(equality)],[c_16825,c_3254]) ).
tff(c_35826,plain,
( ( select(q27,head) = index_167 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_35808,c_16831]) ).
tff(c_35832,plain,
( ( index_167 = index_138 )
| ( seq = head )
| ( tail = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2456,c_35826]) ).
tff(c_35833,plain,
index_167 = index_138,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_35832]) ).
tff(c_294,plain,
s(index_167) = index_168,
inference(cnfTransformation,[status(thm)],[f_277]) ).
tff(c_35850,plain,
s(index_138) = index_168,
inference(demodulation,[status(thm),theory(equality)],[c_35833,c_294]) ).
tff(c_59786,plain,
index_168 = index_12,
inference(demodulation,[status(thm),theory(equality)],[c_59716,c_35850]) ).
tff(c_398,plain,
select(q21,tail) = index_99,
inference(cnfTransformation,[status(thm)],[f_329]) ).
tff(c_16874,plain,
! [J_205] :
( ( select(queue_94,J_205) = select(q21,J_205) )
| ( head = J_205 ) ),
inference(superposition,[status(thm),theory(equality)],[c_605,c_3145]) ).
tff(c_2525,plain,
select(queue_94,tail) = index_93,
inference(superposition,[status(thm),theory(equality)],[c_538,c_2225]) ).
tff(c_16883,plain,
( ( select(q21,tail) = index_93 )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_16874,c_2525]) ).
tff(c_16900,plain,
( ( index_99 = index_93 )
| ( tail = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_398,c_16883]) ).
tff(c_16901,plain,
index_99 = index_93,
inference(negUnitSimplification,[status(thm)],[c_6,c_16900]) ).
tff(c_238,plain,
s(index_99) = index_102,
inference(cnfTransformation,[status(thm)],[f_249]) ).
tff(c_16922,plain,
s(index_93) = index_102,
inference(demodulation,[status(thm),theory(equality)],[c_16901,c_238]) ).
tff(c_3769,plain,
! [X_76] : ( s(s(s(s(s(s(s(s(s(s(s(s(X_76)))))))))))) != X_76 ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_3883,plain,
s(s(s(s(s(s(s(s(s(s(s(index_18))))))))))) != index_15,
inference(superposition,[status(thm),theory(equality)],[c_302,c_3769]) ).
tff(c_56191,plain,
index_12 != index_102,
inference(demodulation,[status(thm),theory(equality)],[c_16922,c_4066,c_10857,c_13896,c_10443,c_6964,c_11931,c_4510,c_11082,c_13844,c_5115,c_11318,c_3883]) ).
tff(c_254,plain,
select(q24,tail) = index_120,
inference(cnfTransformation,[status(thm)],[f_257]) ).
tff(c_14839,plain,
! [J_166] :
( ( select(queue_115,J_166) = select(q24,J_166) )
| ( head = J_166 ) ),
inference(superposition,[status(thm),theory(equality)],[c_632,c_3145]) ).
tff(c_2345,plain,
select(queue_115,tail) = index_114,
inference(superposition,[status(thm),theory(equality)],[c_414,c_2225]) ).
tff(c_14845,plain,
( ( select(q24,tail) = index_114 )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_14839,c_2345]) ).
tff(c_14859,plain,
( ( index_120 = index_114 )
| ( tail = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_254,c_14845]) ).
tff(c_14860,plain,
index_120 = index_114,
inference(negUnitSimplification,[status(thm)],[c_6,c_14859]) ).
tff(c_256,plain,
s(index_120) = index_123,
inference(cnfTransformation,[status(thm)],[f_258]) ).
tff(c_14879,plain,
s(index_114) = index_123,
inference(demodulation,[status(thm),theory(equality)],[c_14860,c_256]) ).
tff(c_2276,plain,
select(q23,tail) = index_108,
inference(superposition,[status(thm),theory(equality)],[c_633,c_2225]) ).
tff(c_244,plain,
select(q23,tail) = index_111,
inference(cnfTransformation,[status(thm)],[f_252]) ).
tff(c_5820,plain,
index_111 = index_108,
inference(demodulation,[status(thm),theory(equality)],[c_2276,c_244]) ).
tff(c_246,plain,
s(index_111) = index_114,
inference(cnfTransformation,[status(thm)],[f_253]) ).
tff(c_5829,plain,
s(index_108) = index_114,
inference(demodulation,[status(thm),theory(equality)],[c_5820,c_246]) ).
tff(c_2366,plain,
select(q22,tail) = index_102,
inference(superposition,[status(thm),theory(equality)],[c_634,c_2225]) ).
tff(c_240,plain,
select(q22,tail) = index_105,
inference(cnfTransformation,[status(thm)],[f_250]) ).
tff(c_3460,plain,
index_105 = index_102,
inference(demodulation,[status(thm),theory(equality)],[c_2366,c_240]) ).
tff(c_242,plain,
s(index_105) = index_108,
inference(cnfTransformation,[status(thm)],[f_251]) ).
tff(c_3469,plain,
s(index_102) = index_108,
inference(demodulation,[status(thm),theory(equality)],[c_3460,c_242]) ).
tff(c_86,plain,
! [X_45] : ( s(s(s(s(s(s(s(s(s(s(s(s(s(X_45))))))))))))) != X_45 ),
inference(cnfTransformation,[status(thm)],[f_149]) ).
tff(c_14283,plain,
s(s(s(s(s(s(s(s(s(s(s(s(index_33)))))))))))) != index_24,
inference(superposition,[status(thm),theory(equality)],[c_13844,c_86]) ).
tff(c_14359,plain,
s(s(s(s(index_93)))) != index_24,
inference(demodulation,[status(thm),theory(equality)],[c_4066,c_10857,c_13896,c_10443,c_6964,c_11931,c_4510,c_11082,c_14283]) ).
tff(c_16938,plain,
s(s(s(index_102))) != index_24,
inference(demodulation,[status(thm),theory(equality)],[c_16922,c_14359]) ).
tff(c_16970,plain,
index_24 != index_123,
inference(demodulation,[status(thm),theory(equality)],[c_14879,c_5829,c_3469,c_16938]) ).
tff(c_10,plain,
tail != seq,
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_120,plain,
select(q23,seq) = earray_110,
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_2246,plain,
select(queue_107,seq) = earray_106,
inference(superposition,[status(thm),theory(equality)],[c_406,c_2225]) ).
tff(c_16723,plain,
( ( select(q23,seq) = earray_106 )
| ( tail = seq ) ),
inference(superposition,[status(thm),theory(equality)],[c_16714,c_2246]) ).
tff(c_16734,plain,
( ( earray_110 = earray_106 )
| ( tail = seq ) ),
inference(demodulation,[status(thm),theory(equality)],[c_120,c_16723]) ).
tff(c_16735,plain,
earray_110 = earray_106,
inference(negUnitSimplification,[status(thm)],[c_10,c_16734]) ).
tff(c_122,plain,
store(earray_110,index_111,e23) = earray_112,
inference(cnfTransformation,[status(thm)],[f_191]) ).
tff(c_3299,plain,
! [J_73] :
( ( select(earray_112,J_73) = select(earray_110,J_73) )
| ( index_111 = J_73 ) ),
inference(superposition,[status(thm),theory(equality)],[c_122,c_3145]) ).
tff(c_13186,plain,
! [J_73] :
( ( select(earray_112,J_73) = select(earray_110,J_73) )
| ( index_108 = J_73 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5820,c_3299]) ).
tff(c_16740,plain,
! [J_73] :
( ( select(earray_112,J_73) = select(earray_106,J_73) )
| ( index_108 = J_73 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16735,c_13186]) ).
tff(c_2237,plain,
select(q25,tail) = index_123,
inference(superposition,[status(thm),theory(equality)],[c_631,c_2225]) ).
tff(c_258,plain,
select(q25,tail) = index_126,
inference(cnfTransformation,[status(thm)],[f_259]) ).
tff(c_9339,plain,
index_126 = index_123,
inference(demodulation,[status(thm),theory(equality)],[c_2237,c_258]) ).
tff(c_260,plain,
s(index_126) = index_129,
inference(cnfTransformation,[status(thm)],[f_260]) ).
tff(c_9349,plain,
s(index_123) = index_129,
inference(demodulation,[status(thm),theory(equality)],[c_9339,c_260]) ).
tff(c_84,plain,
! [X_44] : ( s(s(s(s(s(s(s(s(s(s(s(s(s(s(X_44)))))))))))))) != X_44 ),
inference(cnfTransformation,[status(thm)],[f_146]) ).
tff(c_14280,plain,
s(s(s(s(s(s(s(s(s(s(s(s(s(index_33))))))))))))) != index_24,
inference(superposition,[status(thm),theory(equality)],[c_13844,c_84]) ).
tff(c_14358,plain,
s(s(s(s(s(index_93))))) != index_24,
inference(demodulation,[status(thm),theory(equality)],[c_4066,c_10857,c_13896,c_10443,c_6964,c_11931,c_4510,c_11082,c_14280]) ).
tff(c_16936,plain,
s(s(s(s(index_102)))) != index_24,
inference(demodulation,[status(thm),theory(equality)],[c_16922,c_14358]) ).
tff(c_16968,plain,
index_24 != index_129,
inference(demodulation,[status(thm),theory(equality)],[c_9349,c_14879,c_5829,c_3469,c_16936]) ).
tff(c_2399,plain,
select(q26,tail) = index_129,
inference(superposition,[status(thm),theory(equality)],[c_629,c_2225]) ).
tff(c_262,plain,
select(q26,tail) = index_132,
inference(cnfTransformation,[status(thm)],[f_261]) ).
tff(c_3754,plain,
index_132 = index_129,
inference(demodulation,[status(thm),theory(equality)],[c_2399,c_262]) ).
tff(c_264,plain,
s(index_132) = index_135,
inference(cnfTransformation,[status(thm)],[f_262]) ).
tff(c_3764,plain,
s(index_129) = index_135,
inference(demodulation,[status(thm),theory(equality)],[c_3754,c_264]) ).
tff(c_82,plain,
! [X_43] : ( s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X_43))))))))))))))) != X_43 ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_14277,plain,
s(s(s(s(s(s(s(s(s(s(s(s(s(s(index_33)))))))))))))) != index_24,
inference(superposition,[status(thm),theory(equality)],[c_13844,c_82]) ).
tff(c_14357,plain,
s(s(s(s(s(s(index_93)))))) != index_24,
inference(demodulation,[status(thm),theory(equality)],[c_4066,c_10857,c_13896,c_10443,c_6964,c_11931,c_4510,c_11082,c_14277]) ).
tff(c_17771,plain,
index_24 != index_135,
inference(demodulation,[status(thm),theory(equality)],[c_3764,c_9349,c_14879,c_5829,c_3469,c_16922,c_14357]) ).
tff(c_42307,plain,
! [J_360] :
( ( select(q25,J_360) = select(q24,J_360) )
| ( tail = J_360 )
| ( seq = J_360 ) ),
inference(superposition,[status(thm),theory(equality)],[c_16424,c_3164]) ).
tff(c_42313,plain,
( ( select(q24,head) = index_137 )
| ( tail = head )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_42307,c_35762]) ).
tff(c_42333,plain,
( ( index_137 = index_117 )
| ( tail = head )
| ( seq = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2474,c_42313]) ).
tff(c_42334,plain,
index_137 = index_117,
inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_42333]) ).
tff(c_42363,plain,
s(index_117) = index_138,
inference(demodulation,[status(thm),theory(equality)],[c_42334,c_268]) ).
tff(c_43879,plain,
! [J_366] :
( ( select(q2,J_366) = select(q1,J_366) )
| ( tail = J_366 )
| ( seq = J_366 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3251,c_17465]) ).
tff(c_43885,plain,
( ( select(q1,head) = index_158 )
| ( tail = head )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_43879,c_17384]) ).
tff(c_43905,plain,
select(q1,head) = index_158,
inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_43885]) ).
tff(c_43923,plain,
( ( select(q0,head) = index_158 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_43905,c_17291]) ).
tff(c_43929,plain,
( ( index_158 = index_0 )
| ( seq = head )
| ( tail = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2417,c_43923]) ).
tff(c_43930,plain,
index_158 = index_0,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_43929]) ).
tff(c_43948,plain,
s(index_0) = index_159,
inference(demodulation,[status(thm),theory(equality)],[c_43930,c_286]) ).
tff(c_43955,plain,
index_6 = index_159,
inference(demodulation,[status(thm),theory(equality)],[c_43948,c_14473]) ).
tff(c_44172,plain,
s(index_159) = index_153,
inference(demodulation,[status(thm),theory(equality)],[c_43955,c_8883]) ).
tff(c_41948,plain,
! [J_358] :
( ( select(q5,J_358) = select(q4,J_358) )
| ( tail = J_358 )
| ( seq = J_358 ) ),
inference(superposition,[status(thm),theory(equality)],[c_13204,c_3260]) ).
tff(c_41954,plain,
( ( select(q4,head) = index_188 )
| ( tail = head )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_41948,c_16570]) ).
tff(c_41974,plain,
select(q4,head) = index_188,
inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_41954]) ).
tff(c_16688,plain,
! [J_200] :
( ( select(q4,J_200) = select(q3,J_200) )
| ( seq = J_200 )
| ( tail = J_200 ) ),
inference(superposition,[status(thm),theory(equality)],[c_16682,c_3332]) ).
tff(c_41992,plain,
( ( select(q3,head) = index_188 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_41974,c_16688]) ).
tff(c_41998,plain,
( ( index_188 = index_159 )
| ( seq = head )
| ( tail = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2351,c_41992]) ).
tff(c_41999,plain,
index_188 = index_159,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_41998]) ).
tff(c_42018,plain,
s(index_159) = index_189,
inference(demodulation,[status(thm),theory(equality)],[c_41999,c_312]) ).
tff(c_44252,plain,
index_189 = index_153,
inference(demodulation,[status(thm),theory(equality)],[c_44172,c_42018]) ).
tff(c_43478,plain,
! [J_365] :
( ( select(q7,J_365) = select(q6,J_365) )
| ( seq = J_365 )
| ( tail = J_365 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3242,c_16657]) ).
tff(c_43484,plain,
( ( select(q6,head) = index_209 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_43478,c_36268]) ).
tff(c_43504,plain,
( ( index_209 = index_189 )
| ( seq = head )
| ( tail = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2462,c_43484]) ).
tff(c_43505,plain,
index_209 = index_189,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_43504]) ).
tff(c_43535,plain,
s(index_189) = index_210,
inference(demodulation,[status(thm),theory(equality)],[c_43505,c_330]) ).
tff(c_44474,plain,
s(index_153) = index_210,
inference(demodulation,[status(thm),theory(equality)],[c_44252,c_43535]) ).
tff(c_44487,plain,
index_210 = index_156,
inference(demodulation,[status(thm),theory(equality)],[c_282,c_44474]) ).
tff(c_42752,plain,
! [J_363] :
( ( select(q9,J_363) = select(q10,J_363) )
| ( seq = J_363 )
| ( tail = J_363 ) ),
inference(superposition,[status(thm),theory(equality)],[c_15739,c_3413]) ).
tff(c_42764,plain,
( ( select(q10,head) = index_210 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_42752,c_2471]) ).
tff(c_42784,plain,
( ( index_26 = index_210 )
| ( seq = head )
| ( tail = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36918,c_42764]) ).
tff(c_42785,plain,
index_26 = index_210,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_42784]) ).
tff(c_42810,plain,
s(index_210) = index_27,
inference(demodulation,[status(thm),theory(equality)],[c_42785,c_338]) ).
tff(c_44508,plain,
s(index_156) = index_27,
inference(demodulation,[status(thm),theory(equality)],[c_44487,c_42810]) ).
tff(c_44513,plain,
index_27 = index_174,
inference(demodulation,[status(thm),theory(equality)],[c_13276,c_44508]) ).
tff(c_44538,plain,
s(index_174) = index_48,
inference(demodulation,[status(thm),theory(equality)],[c_44513,c_36994]) ).
tff(c_44544,plain,
index_48 = index_180,
inference(demodulation,[status(thm),theory(equality)],[c_10624,c_44538]) ).
tff(c_44590,plain,
s(index_180) = index_69,
inference(demodulation,[status(thm),theory(equality)],[c_44544,c_36434]) ).
tff(c_44594,plain,
index_69 = index_186,
inference(demodulation,[status(thm),theory(equality)],[c_6181,c_44590]) ).
tff(c_43114,plain,
! [J_364] :
( ( select(q22,J_364) = select(q21,J_364) )
| ( tail = J_364 )
| ( seq = J_364 ) ),
inference(superposition,[status(thm),theory(equality)],[c_15865,c_3290]) ).
tff(c_43120,plain,
( ( select(q21,head) = index_116 )
| ( tail = head )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_43114,c_18369]) ).
tff(c_43140,plain,
( ( index_96 = index_116 )
| ( tail = head )
| ( seq = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2522,c_43120]) ).
tff(c_43141,plain,
index_96 = index_116,
inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_43140]) ).
tff(c_43196,plain,
s(index_69) = index_116,
inference(demodulation,[status(thm),theory(equality)],[c_43141,c_17990]) ).
tff(c_44616,plain,
s(index_186) = index_116,
inference(demodulation,[status(thm),theory(equality)],[c_44594,c_43196]) ).
tff(c_44661,plain,
index_195 = index_116,
inference(demodulation,[status(thm),theory(equality)],[c_44616,c_12381]) ).
tff(c_44886,plain,
s(index_116) = index_201,
inference(demodulation,[status(thm),theory(equality)],[c_44661,c_5460]) ).
tff(c_44892,plain,
index_201 = index_117,
inference(demodulation,[status(thm),theory(equality)],[c_250,c_44886]) ).
tff(c_44926,plain,
s(index_117) = index_207,
inference(demodulation,[status(thm),theory(equality)],[c_44892,c_2983]) ).
tff(c_44931,plain,
index_207 = index_138,
inference(demodulation,[status(thm),theory(equality)],[c_42363,c_44926]) ).
tff(c_44967,plain,
s(index_138) = index_12,
inference(demodulation,[status(thm),theory(equality)],[c_44931,c_15471]) ).
tff(c_270,plain,
select(q27,tail) = index_141,
inference(cnfTransformation,[status(thm)],[f_265]) ).
tff(c_15961,plain,
! [J_185] :
( ( select(queue_136,J_185) = select(q27,J_185) )
| ( head = J_185 ) ),
inference(superposition,[status(thm),theory(equality)],[c_628,c_3145]) ).
tff(c_2423,plain,
select(queue_136,tail) = index_135,
inference(superposition,[status(thm),theory(equality)],[c_430,c_2225]) ).
tff(c_15970,plain,
( ( select(q27,tail) = index_135 )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_15961,c_2423]) ).
tff(c_15987,plain,
( ( index_141 = index_135 )
| ( tail = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_270,c_15970]) ).
tff(c_15988,plain,
index_141 = index_135,
inference(negUnitSimplification,[status(thm)],[c_6,c_15987]) ).
tff(c_272,plain,
s(index_141) = index_144,
inference(cnfTransformation,[status(thm)],[f_266]) ).
tff(c_16009,plain,
s(index_135) = index_144,
inference(demodulation,[status(thm),theory(equality)],[c_15988,c_272]) ).
tff(c_80,plain,
! [X_42] : ( s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X_42)))))))))))))))) != X_42 ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_14274,plain,
s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(index_33))))))))))))))) != index_24,
inference(superposition,[status(thm),theory(equality)],[c_13844,c_80]) ).
tff(c_14356,plain,
s(s(s(s(s(s(s(index_93))))))) != index_24,
inference(demodulation,[status(thm),theory(equality)],[c_4066,c_10857,c_13896,c_10443,c_6964,c_11931,c_4510,c_11082,c_14274]) ).
tff(c_17824,plain,
index_24 != index_144,
inference(demodulation,[status(thm),theory(equality)],[c_16009,c_3764,c_9349,c_14879,c_5829,c_3469,c_16922,c_14356]) ).
tff(c_38980,plain,
! [J_351] :
( ( select(q25,J_351) = select(q24,J_351) )
| ( seq = J_351 )
| ( tail = J_351 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3164,c_16424]) ).
tff(c_38986,plain,
( ( select(q24,head) = index_137 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_38980,c_35762]) ).
tff(c_39006,plain,
( ( index_137 = index_117 )
| ( seq = head )
| ( tail = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2474,c_38986]) ).
tff(c_39007,plain,
index_137 = index_117,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_39006]) ).
tff(c_39036,plain,
s(index_117) = index_138,
inference(demodulation,[status(thm),theory(equality)],[c_39007,c_268]) ).
tff(c_39801,plain,
! [J_353] :
( ( select(q2,J_353) = select(q1,J_353) )
| ( tail = J_353 )
| ( seq = J_353 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3251,c_17465]) ).
tff(c_39807,plain,
( ( select(q1,head) = index_158 )
| ( tail = head )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_39801,c_17384]) ).
tff(c_39827,plain,
select(q1,head) = index_158,
inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_39807]) ).
tff(c_39845,plain,
( ( select(q0,head) = index_158 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_39827,c_17291]) ).
tff(c_39851,plain,
( ( index_158 = index_0 )
| ( seq = head )
| ( tail = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2417,c_39845]) ).
tff(c_39852,plain,
index_158 = index_0,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_39851]) ).
tff(c_39870,plain,
s(index_0) = index_159,
inference(demodulation,[status(thm),theory(equality)],[c_39852,c_286]) ).
tff(c_39877,plain,
index_6 = index_159,
inference(demodulation,[status(thm),theory(equality)],[c_39870,c_14473]) ).
tff(c_40093,plain,
s(index_159) = index_153,
inference(demodulation,[status(thm),theory(equality)],[c_39877,c_8883]) ).
tff(c_38655,plain,
! [J_350] :
( ( select(q5,J_350) = select(q4,J_350) )
| ( tail = J_350 )
| ( seq = J_350 ) ),
inference(superposition,[status(thm),theory(equality)],[c_13204,c_3260]) ).
tff(c_38661,plain,
( ( select(q4,head) = index_188 )
| ( tail = head )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_38655,c_16570]) ).
tff(c_38681,plain,
select(q4,head) = index_188,
inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_38661]) ).
tff(c_38699,plain,
( ( select(q3,head) = index_188 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_38681,c_16688]) ).
tff(c_38705,plain,
( ( index_188 = index_159 )
| ( seq = head )
| ( tail = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2351,c_38699]) ).
tff(c_38706,plain,
index_188 = index_159,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_38705]) ).
tff(c_38725,plain,
s(index_159) = index_189,
inference(demodulation,[status(thm),theory(equality)],[c_38706,c_312]) ).
tff(c_40148,plain,
index_189 = index_153,
inference(demodulation,[status(thm),theory(equality)],[c_40093,c_38725]) ).
tff(c_39414,plain,
! [J_352] :
( ( select(q7,J_352) = select(q6,J_352) )
| ( seq = J_352 )
| ( tail = J_352 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3242,c_16657]) ).
tff(c_39420,plain,
( ( select(q6,head) = index_209 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_39414,c_36268]) ).
tff(c_39440,plain,
( ( index_209 = index_189 )
| ( seq = head )
| ( tail = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2462,c_39420]) ).
tff(c_39441,plain,
index_209 = index_189,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_39440]) ).
tff(c_39472,plain,
s(index_189) = index_210,
inference(demodulation,[status(thm),theory(equality)],[c_39441,c_330]) ).
tff(c_40377,plain,
s(index_153) = index_210,
inference(demodulation,[status(thm),theory(equality)],[c_40148,c_39472]) ).
tff(c_40382,plain,
index_210 = index_156,
inference(demodulation,[status(thm),theory(equality)],[c_282,c_40377]) ).
tff(c_37860,plain,
! [J_346] :
( ( select(q9,J_346) = select(q10,J_346) )
| ( seq = J_346 )
| ( tail = J_346 ) ),
inference(superposition,[status(thm),theory(equality)],[c_15739,c_3413]) ).
tff(c_37872,plain,
( ( select(q10,head) = index_210 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_37860,c_2471]) ).
tff(c_37892,plain,
( ( index_26 = index_210 )
| ( seq = head )
| ( tail = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36918,c_37872]) ).
tff(c_37893,plain,
index_26 = index_210,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_37892]) ).
tff(c_37917,plain,
s(index_210) = index_27,
inference(demodulation,[status(thm),theory(equality)],[c_37893,c_338]) ).
tff(c_40430,plain,
s(index_156) = index_27,
inference(demodulation,[status(thm),theory(equality)],[c_40382,c_37917]) ).
tff(c_40437,plain,
index_27 = index_174,
inference(demodulation,[status(thm),theory(equality)],[c_13276,c_40430]) ).
tff(c_40465,plain,
s(index_174) = index_48,
inference(demodulation,[status(thm),theory(equality)],[c_40437,c_36994]) ).
tff(c_40471,plain,
index_48 = index_180,
inference(demodulation,[status(thm),theory(equality)],[c_10624,c_40465]) ).
tff(c_40514,plain,
s(index_180) = index_69,
inference(demodulation,[status(thm),theory(equality)],[c_40471,c_36434]) ).
tff(c_40518,plain,
index_69 = index_186,
inference(demodulation,[status(thm),theory(equality)],[c_6181,c_40514]) ).
tff(c_38299,plain,
! [J_349] :
( ( select(q22,J_349) = select(q21,J_349) )
| ( seq = J_349 )
| ( tail = J_349 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3290,c_15865]) ).
tff(c_38305,plain,
( ( select(q21,head) = index_116 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_38299,c_18369]) ).
tff(c_38325,plain,
( ( index_96 = index_116 )
| ( seq = head )
| ( tail = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2522,c_38305]) ).
tff(c_38326,plain,
index_96 = index_116,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_38325]) ).
tff(c_38381,plain,
s(index_69) = index_116,
inference(demodulation,[status(thm),theory(equality)],[c_38326,c_17990]) ).
tff(c_40543,plain,
s(index_186) = index_116,
inference(demodulation,[status(thm),theory(equality)],[c_40518,c_38381]) ).
tff(c_40573,plain,
index_195 = index_116,
inference(demodulation,[status(thm),theory(equality)],[c_40543,c_12381]) ).
tff(c_40798,plain,
s(index_116) = index_201,
inference(demodulation,[status(thm),theory(equality)],[c_40573,c_5460]) ).
tff(c_40804,plain,
index_201 = index_117,
inference(demodulation,[status(thm),theory(equality)],[c_250,c_40798]) ).
tff(c_40838,plain,
s(index_117) = index_207,
inference(demodulation,[status(thm),theory(equality)],[c_40804,c_2983]) ).
tff(c_40843,plain,
index_207 = index_138,
inference(demodulation,[status(thm),theory(equality)],[c_39036,c_40838]) ).
tff(c_40878,plain,
s(index_138) = index_12,
inference(demodulation,[status(thm),theory(equality)],[c_40843,c_15471]) ).
tff(c_138,plain,
select(q27,seq) = earray_140,
inference(cnfTransformation,[status(thm)],[f_199]) ).
tff(c_3347,plain,
! [J_73] :
( ( select(queue_136,J_73) = select(queue_134,J_73) )
| ( tail = J_73 ) ),
inference(superposition,[status(thm),theory(equality)],[c_430,c_3145]) ).
tff(c_37294,plain,
! [J_340] :
( ( select(queue_134,J_340) = select(q27,J_340) )
| ( head = J_340 )
| ( tail = J_340 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3347,c_15961]) ).
tff(c_2429,plain,
select(queue_134,seq) = earray_133,
inference(superposition,[status(thm),theory(equality)],[c_428,c_2225]) ).
tff(c_37306,plain,
( ( select(q27,seq) = earray_133 )
| ( seq = head )
| ( tail = seq ) ),
inference(superposition,[status(thm),theory(equality)],[c_37294,c_2429]) ).
tff(c_37323,plain,
( ( earray_140 = earray_133 )
| ( seq = head )
| ( tail = seq ) ),
inference(demodulation,[status(thm),theory(equality)],[c_138,c_37306]) ).
tff(c_37324,plain,
earray_140 = earray_133,
inference(negUnitSimplification,[status(thm)],[c_10,c_8,c_37323]) ).
tff(c_31249,plain,
! [J_307] :
( ( select(q25,J_307) = select(q24,J_307) )
| ( tail = J_307 )
| ( seq = J_307 ) ),
inference(superposition,[status(thm),theory(equality)],[c_16424,c_3164]) ).
tff(c_30842,plain,
! [J_297] :
( ( select(q26,J_297) = select(q25,J_297) )
| ( seq = J_297 )
| ( tail = J_297 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3323,c_16781]) ).
tff(c_30848,plain,
( ( select(q25,head) = index_137 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_30842,c_15422]) ).
tff(c_30868,plain,
select(q25,head) = index_137,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_30848]) ).
tff(c_31255,plain,
( ( select(q24,head) = index_137 )
| ( tail = head )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_31249,c_30868]) ).
tff(c_31275,plain,
( ( index_137 = index_117 )
| ( tail = head )
| ( seq = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2474,c_31255]) ).
tff(c_31276,plain,
index_137 = index_117,
inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_31275]) ).
tff(c_31306,plain,
s(index_117) = index_138,
inference(demodulation,[status(thm),theory(equality)],[c_31276,c_268]) ).
tff(c_34105,plain,
! [J_324] :
( ( select(q2,J_324) = select(q1,J_324) )
| ( seq = J_324 )
| ( tail = J_324 ) ),
inference(superposition,[status(thm),theory(equality)],[c_17465,c_3251]) ).
tff(c_34111,plain,
( ( select(q1,head) = index_158 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_34105,c_17384]) ).
tff(c_34131,plain,
select(q1,head) = index_158,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_34111]) ).
tff(c_17282,plain,
! [J_209] :
( ( select(q1,J_209) = select(q0,J_209) )
| ( tail = J_209 )
| ( seq = J_209 ) ),
inference(superposition,[status(thm),theory(equality)],[c_17276,c_3209]) ).
tff(c_34149,plain,
( ( select(q0,head) = index_158 )
| ( tail = head )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_34131,c_17282]) ).
tff(c_34155,plain,
( ( index_158 = index_0 )
| ( tail = head )
| ( seq = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2417,c_34149]) ).
tff(c_34156,plain,
index_158 = index_0,
inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_34155]) ).
tff(c_34174,plain,
s(index_0) = index_159,
inference(demodulation,[status(thm),theory(equality)],[c_34156,c_286]) ).
tff(c_34181,plain,
index_6 = index_159,
inference(demodulation,[status(thm),theory(equality)],[c_34174,c_14473]) ).
tff(c_34397,plain,
s(index_159) = index_153,
inference(demodulation,[status(thm),theory(equality)],[c_34181,c_8883]) ).
tff(c_32922,plain,
! [J_319] :
( ( select(q4,J_319) = select(q3,J_319) )
| ( seq = J_319 )
| ( tail = J_319 ) ),
inference(superposition,[status(thm),theory(equality)],[c_16682,c_3332]) ).
tff(c_30889,plain,
! [J_298] :
( ( select(q5,J_298) = select(q4,J_298) )
| ( seq = J_298 )
| ( tail = J_298 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3260,c_13204]) ).
tff(c_30895,plain,
( ( select(q4,head) = index_188 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_30889,c_16570]) ).
tff(c_30915,plain,
select(q4,head) = index_188,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_30895]) ).
tff(c_32928,plain,
( ( select(q3,head) = index_188 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_32922,c_30915]) ).
tff(c_32948,plain,
( ( index_188 = index_159 )
| ( seq = head )
| ( tail = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2351,c_32928]) ).
tff(c_32949,plain,
index_188 = index_159,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_32948]) ).
tff(c_32979,plain,
s(index_159) = index_189,
inference(demodulation,[status(thm),theory(equality)],[c_32949,c_312]) ).
tff(c_34453,plain,
index_189 = index_153,
inference(demodulation,[status(thm),theory(equality)],[c_34397,c_32979]) ).
tff(c_33232,plain,
! [J_320] :
( ( select(q7,J_320) = select(q6,J_320) )
| ( tail = J_320 )
| ( seq = J_320 ) ),
inference(superposition,[status(thm),theory(equality)],[c_16657,c_3242]) ).
tff(c_32874,plain,
! [J_318] :
( ( select(q8,J_318) = select(q7,J_318) )
| ( tail = J_318 )
| ( seq = J_318 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3233,c_13282]) ).
tff(c_32883,plain,
( ( select(q7,head) = index_209 )
| ( tail = head )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_32874,c_13099]) ).
tff(c_32903,plain,
select(q7,head) = index_209,
inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_32883]) ).
tff(c_33238,plain,
( ( select(q6,head) = index_209 )
| ( tail = head )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_33232,c_32903]) ).
tff(c_33258,plain,
( ( index_209 = index_189 )
| ( tail = head )
| ( seq = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2462,c_33238]) ).
tff(c_33259,plain,
index_209 = index_189,
inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_33258]) ).
tff(c_33288,plain,
s(index_189) = index_210,
inference(demodulation,[status(thm),theory(equality)],[c_33259,c_330]) ).
tff(c_34670,plain,
s(index_153) = index_210,
inference(demodulation,[status(thm),theory(equality)],[c_34453,c_33288]) ).
tff(c_34677,plain,
index_210 = index_156,
inference(demodulation,[status(thm),theory(equality)],[c_282,c_34670]) ).
tff(c_32041,plain,
! [J_311] :
( ( select(q9,J_311) = select(q10,J_311) )
| ( tail = J_311 )
| ( seq = J_311 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3413,c_15739]) ).
tff(c_32053,plain,
( ( select(q10,head) = index_210 )
| ( tail = head )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_32041,c_2471]) ).
tff(c_32073,plain,
select(q10,head) = index_210,
inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_32053]) ).
tff(c_32170,plain,
! [J_314] :
( ( select(q11,J_314) = select(q10,J_314) )
| ( seq = J_314 )
| ( tail = J_314 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3281,c_15138]) ).
tff(c_32176,plain,
( ( select(q10,head) = index_26 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_32170,c_17326]) ).
tff(c_32196,plain,
( ( index_26 = index_210 )
| ( seq = head )
| ( tail = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_32073,c_32176]) ).
tff(c_32197,plain,
index_26 = index_210,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_32196]) ).
tff(c_32226,plain,
s(index_210) = index_27,
inference(demodulation,[status(thm),theory(equality)],[c_32197,c_338]) ).
tff(c_34725,plain,
s(index_156) = index_27,
inference(demodulation,[status(thm),theory(equality)],[c_34677,c_32226]) ).
tff(c_34731,plain,
index_27 = index_174,
inference(demodulation,[status(thm),theory(equality)],[c_13276,c_34725]) ).
tff(c_33692,plain,
! [J_323] :
( ( select(q13,J_323) = select(q12,J_323) )
| ( tail = J_323 )
| ( seq = J_323 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3410,c_15198]) ).
tff(c_32793,plain,
! [J_316] :
( ( select(q14,J_316) = select(q13,J_316) )
| ( seq = J_316 )
| ( tail = J_316 ) ),
inference(superposition,[status(thm),theory(equality)],[c_13542,c_3257]) ).
tff(c_32802,plain,
( ( select(q13,head) = index_47 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_32793,c_12965]) ).
tff(c_32822,plain,
select(q13,head) = index_47,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_32802]) ).
tff(c_33698,plain,
( ( select(q12,head) = index_47 )
| ( tail = head )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_33692,c_32822]) ).
tff(c_33718,plain,
( ( index_47 = index_27 )
| ( tail = head )
| ( seq = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2390,c_33698]) ).
tff(c_33719,plain,
index_47 = index_27,
inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_33718]) ).
tff(c_33749,plain,
s(index_27) = index_48,
inference(demodulation,[status(thm),theory(equality)],[c_33719,c_356]) ).
tff(c_34764,plain,
s(index_174) = index_48,
inference(demodulation,[status(thm),theory(equality)],[c_34731,c_33749]) ).
tff(c_34771,plain,
index_48 = index_180,
inference(demodulation,[status(thm),theory(equality)],[c_10624,c_34764]) ).
tff(c_30474,plain,
! [J_296] :
( ( select(q17,J_296) = select(q16,J_296) )
| ( seq = J_296 )
| ( tail = J_296 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3245,c_12858]) ).
tff(c_30480,plain,
( ( select(q16,head) = index_68 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_30474,c_12919]) ).
tff(c_30500,plain,
select(q16,head) = index_68,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_30480]) ).
tff(c_30518,plain,
( ( select(q15,head) = index_68 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_30500,c_16259]) ).
tff(c_30524,plain,
( ( index_68 = index_48 )
| ( seq = head )
| ( tail = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2261,c_30518]) ).
tff(c_30525,plain,
index_68 = index_48,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_30524]) ).
tff(c_30542,plain,
s(index_48) = index_69,
inference(demodulation,[status(thm),theory(equality)],[c_30525,c_374]) ).
tff(c_34813,plain,
s(index_180) = index_69,
inference(demodulation,[status(thm),theory(equality)],[c_34771,c_30542]) ).
tff(c_34818,plain,
index_69 = index_186,
inference(demodulation,[status(thm),theory(equality)],[c_6181,c_34813]) ).
tff(c_32466,plain,
! [J_315] :
( ( select(q22,J_315) = select(q21,J_315) )
| ( tail = J_315 )
| ( seq = J_315 ) ),
inference(superposition,[status(thm),theory(equality)],[c_15865,c_3290]) ).
tff(c_32472,plain,
( ( select(q21,head) = index_116 )
| ( tail = head )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_32466,c_18369]) ).
tff(c_32492,plain,
( ( index_96 = index_116 )
| ( tail = head )
| ( seq = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2522,c_32472]) ).
tff(c_32493,plain,
index_96 = index_116,
inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_32492]) ).
tff(c_32534,plain,
s(index_69) = index_116,
inference(demodulation,[status(thm),theory(equality)],[c_32493,c_17990]) ).
tff(c_34842,plain,
s(index_186) = index_116,
inference(demodulation,[status(thm),theory(equality)],[c_34818,c_32534]) ).
tff(c_34877,plain,
index_195 = index_116,
inference(demodulation,[status(thm),theory(equality)],[c_34842,c_12381]) ).
tff(c_35101,plain,
s(index_116) = index_201,
inference(demodulation,[status(thm),theory(equality)],[c_34877,c_5460]) ).
tff(c_35107,plain,
index_201 = index_117,
inference(demodulation,[status(thm),theory(equality)],[c_250,c_35101]) ).
tff(c_35137,plain,
s(index_117) = index_207,
inference(demodulation,[status(thm),theory(equality)],[c_35107,c_2983]) ).
tff(c_35142,plain,
index_207 = index_138,
inference(demodulation,[status(thm),theory(equality)],[c_31306,c_35137]) ).
tff(c_35178,plain,
s(index_138) = index_12,
inference(demodulation,[status(thm),theory(equality)],[c_35142,c_15471]) ).
tff(c_31649,plain,
! [J_310] :
( ( select(q29,J_310) = select(q28,J_310) )
| ( tail = J_310 )
| ( seq = J_310 ) ),
inference(superposition,[status(thm),theory(equality)],[c_15325,c_3311]) ).
tff(c_31655,plain,
( ( select(q28,head) = index_167 )
| ( tail = head )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_31649,c_15855]) ).
tff(c_31675,plain,
select(q28,head) = index_167,
inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_31655]) ).
tff(c_31693,plain,
( ( select(q27,head) = index_167 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_31675,c_16831]) ).
tff(c_31699,plain,
( ( index_167 = index_138 )
| ( seq = head )
| ( tail = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2456,c_31693]) ).
tff(c_31700,plain,
index_167 = index_138,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_31699]) ).
tff(c_140,plain,
store(earray_140,index_141,e27) = earray_142,
inference(cnfTransformation,[status(thm)],[f_200]) ).
tff(c_3356,plain,
! [J_73] :
( ( select(earray_142,J_73) = select(earray_140,J_73) )
| ( index_141 = J_73 ) ),
inference(superposition,[status(thm),theory(equality)],[c_140,c_3145]) ).
tff(c_15999,plain,
! [J_73] :
( ( select(earray_142,J_73) = select(earray_140,J_73) )
| ( index_135 = J_73 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15988,c_3356]) ).
tff(c_25525,plain,
! [J_275] :
( ( select(q26,J_275) = select(q25,J_275) )
| ( tail = J_275 )
| ( seq = J_275 ) ),
inference(superposition,[status(thm),theory(equality)],[c_16781,c_3323]) ).
tff(c_25531,plain,
( ( select(q25,head) = index_137 )
| ( tail = head )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_25525,c_15422]) ).
tff(c_25551,plain,
select(q25,head) = index_137,
inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_25531]) ).
tff(c_16439,plain,
! [J_73] :
( ( select(q25,J_73) = select(q24,J_73) )
| ( seq = J_73 )
| ( tail = J_73 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3164,c_16424]) ).
tff(c_25569,plain,
( ( select(q24,head) = index_137 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_25551,c_16439]) ).
tff(c_25575,plain,
( ( index_137 = index_117 )
| ( seq = head )
| ( tail = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2474,c_25569]) ).
tff(c_25576,plain,
index_137 = index_117,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_25575]) ).
tff(c_25594,plain,
s(index_117) = index_138,
inference(demodulation,[status(thm),theory(equality)],[c_25576,c_268]) ).
tff(c_28572,plain,
! [J_295] :
( ( select(q2,J_295) = select(q1,J_295) )
| ( seq = J_295 )
| ( tail = J_295 ) ),
inference(superposition,[status(thm),theory(equality)],[c_17465,c_3251]) ).
tff(c_28578,plain,
( ( select(q1,head) = index_158 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_28572,c_17384]) ).
tff(c_28598,plain,
select(q1,head) = index_158,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_28578]) ).
tff(c_28616,plain,
( ( select(q0,head) = index_158 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_28598,c_17291]) ).
tff(c_28622,plain,
( ( index_158 = index_0 )
| ( seq = head )
| ( tail = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2417,c_28616]) ).
tff(c_28623,plain,
index_158 = index_0,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_28622]) ).
tff(c_28642,plain,
s(index_0) = index_159,
inference(demodulation,[status(thm),theory(equality)],[c_28623,c_286]) ).
tff(c_28649,plain,
index_6 = index_159,
inference(demodulation,[status(thm),theory(equality)],[c_28642,c_14473]) ).
tff(c_28866,plain,
s(index_159) = index_153,
inference(demodulation,[status(thm),theory(equality)],[c_28649,c_8883]) ).
tff(c_26877,plain,
! [J_287] :
( ( select(q5,J_287) = select(q4,J_287) )
| ( tail = J_287 )
| ( seq = J_287 ) ),
inference(superposition,[status(thm),theory(equality)],[c_13204,c_3260]) ).
tff(c_26883,plain,
( ( select(q4,head) = index_188 )
| ( tail = head )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_26877,c_16570]) ).
tff(c_26903,plain,
select(q4,head) = index_188,
inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_26883]) ).
tff(c_26921,plain,
( ( select(q3,head) = index_188 )
| ( tail = head )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_26903,c_16697]) ).
tff(c_26927,plain,
( ( index_188 = index_159 )
| ( tail = head )
| ( seq = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2351,c_26921]) ).
tff(c_26928,plain,
index_188 = index_159,
inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_26927]) ).
tff(c_26945,plain,
s(index_159) = index_189,
inference(demodulation,[status(thm),theory(equality)],[c_26928,c_312]) ).
tff(c_28945,plain,
index_189 = index_153,
inference(demodulation,[status(thm),theory(equality)],[c_28866,c_26945]) ).
tff(c_26501,plain,
! [J_284] :
( ( select(q7,J_284) = select(q6,J_284) )
| ( seq = J_284 )
| ( tail = J_284 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3242,c_16657]) ).
tff(c_26374,plain,
! [J_281] :
( ( select(q8,J_281) = select(q7,J_281) )
| ( seq = J_281 )
| ( tail = J_281 ) ),
inference(superposition,[status(thm),theory(equality)],[c_13282,c_3233]) ).
tff(c_26383,plain,
( ( select(q7,head) = index_209 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_26374,c_13099]) ).
tff(c_26403,plain,
select(q7,head) = index_209,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_26383]) ).
tff(c_26507,plain,
( ( select(q6,head) = index_209 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_26501,c_26403]) ).
tff(c_26527,plain,
( ( index_209 = index_189 )
| ( seq = head )
| ( tail = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2462,c_26507]) ).
tff(c_26528,plain,
index_209 = index_189,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_26527]) ).
tff(c_26558,plain,
s(index_189) = index_210,
inference(demodulation,[status(thm),theory(equality)],[c_26528,c_330]) ).
tff(c_29163,plain,
s(index_153) = index_210,
inference(demodulation,[status(thm),theory(equality)],[c_28945,c_26558]) ).
tff(c_29168,plain,
index_210 = index_156,
inference(demodulation,[status(thm),theory(equality)],[c_282,c_29163]) ).
tff(c_26797,plain,
! [J_285] :
( ( select(q11,J_285) = select(q10,J_285) )
| ( tail = J_285 )
| ( seq = J_285 ) ),
inference(superposition,[status(thm),theory(equality)],[c_15138,c_3281]) ).
tff(c_26803,plain,
( ( select(q10,head) = index_26 )
| ( tail = head )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_26797,c_17326]) ).
tff(c_26823,plain,
select(q10,head) = index_26,
inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_26803]) ).
tff(c_28181,plain,
! [J_294] :
( ( select(q9,J_294) = select(q10,J_294) )
| ( seq = J_294 )
| ( tail = J_294 ) ),
inference(superposition,[status(thm),theory(equality)],[c_15739,c_3413]) ).
tff(c_28193,plain,
( ( select(q10,head) = index_210 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_28181,c_2471]) ).
tff(c_28213,plain,
( ( index_26 = index_210 )
| ( seq = head )
| ( tail = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26823,c_28193]) ).
tff(c_28214,plain,
index_26 = index_210,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_28213]) ).
tff(c_28239,plain,
s(index_210) = index_27,
inference(demodulation,[status(thm),theory(equality)],[c_28214,c_338]) ).
tff(c_29196,plain,
s(index_156) = index_27,
inference(demodulation,[status(thm),theory(equality)],[c_29168,c_28239]) ).
tff(c_29206,plain,
index_27 = index_174,
inference(demodulation,[status(thm),theory(equality)],[c_13276,c_29196]) ).
tff(c_27810,plain,
! [J_293] :
( ( select(q13,J_293) = select(q12,J_293) )
| ( tail = J_293 )
| ( seq = J_293 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3410,c_15198]) ).
tff(c_26293,plain,
! [J_279] :
( ( select(q14,J_279) = select(q13,J_279) )
| ( tail = J_279 )
| ( seq = J_279 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3257,c_13542]) ).
tff(c_26302,plain,
( ( select(q13,head) = index_47 )
| ( tail = head )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_26293,c_12965]) ).
tff(c_26322,plain,
select(q13,head) = index_47,
inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_26302]) ).
tff(c_27816,plain,
( ( select(q12,head) = index_47 )
| ( tail = head )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_27810,c_26322]) ).
tff(c_27836,plain,
( ( index_47 = index_27 )
| ( tail = head )
| ( seq = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2390,c_27816]) ).
tff(c_27837,plain,
index_47 = index_27,
inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_27836]) ).
tff(c_27867,plain,
s(index_27) = index_48,
inference(demodulation,[status(thm),theory(equality)],[c_27837,c_356]) ).
tff(c_29248,plain,
s(index_174) = index_48,
inference(demodulation,[status(thm),theory(equality)],[c_29206,c_27867]) ).
tff(c_29257,plain,
index_48 = index_180,
inference(demodulation,[status(thm),theory(equality)],[c_10624,c_29248]) ).
tff(c_27425,plain,
! [J_292] :
( ( select(q17,J_292) = select(q16,J_292) )
| ( seq = J_292 )
| ( tail = J_292 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3245,c_12858]) ).
tff(c_27431,plain,
( ( select(q16,head) = index_68 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_27425,c_12919]) ).
tff(c_27451,plain,
select(q16,head) = index_68,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_27431]) ).
tff(c_27470,plain,
( ( select(q15,head) = index_68 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_27451,c_16259]) ).
tff(c_27476,plain,
( ( index_68 = index_48 )
| ( seq = head )
| ( tail = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2261,c_27470]) ).
tff(c_27477,plain,
index_68 = index_48,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_27476]) ).
tff(c_27495,plain,
s(index_48) = index_69,
inference(demodulation,[status(thm),theory(equality)],[c_27477,c_374]) ).
tff(c_29284,plain,
s(index_180) = index_69,
inference(demodulation,[status(thm),theory(equality)],[c_29257,c_27495]) ).
tff(c_29288,plain,
index_69 = index_186,
inference(demodulation,[status(thm),theory(equality)],[c_6181,c_29284]) ).
tff(c_25911,plain,
! [J_276] :
( ( select(q22,J_276) = select(q21,J_276) )
| ( tail = J_276 )
| ( seq = J_276 ) ),
inference(superposition,[status(thm),theory(equality)],[c_15865,c_3290]) ).
tff(c_25917,plain,
( ( select(q21,head) = index_116 )
| ( tail = head )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_25911,c_18369]) ).
tff(c_25937,plain,
( ( index_96 = index_116 )
| ( tail = head )
| ( seq = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2522,c_25917]) ).
tff(c_25938,plain,
index_96 = index_116,
inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_25937]) ).
tff(c_25968,plain,
s(index_69) = index_116,
inference(demodulation,[status(thm),theory(equality)],[c_25938,c_17990]) ).
tff(c_29314,plain,
s(index_186) = index_116,
inference(demodulation,[status(thm),theory(equality)],[c_29288,c_25968]) ).
tff(c_29350,plain,
index_195 = index_116,
inference(demodulation,[status(thm),theory(equality)],[c_29314,c_12381]) ).
tff(c_29574,plain,
s(index_116) = index_201,
inference(demodulation,[status(thm),theory(equality)],[c_29350,c_5460]) ).
tff(c_29580,plain,
index_201 = index_117,
inference(demodulation,[status(thm),theory(equality)],[c_250,c_29574]) ).
tff(c_29610,plain,
s(index_117) = index_207,
inference(demodulation,[status(thm),theory(equality)],[c_29580,c_2983]) ).
tff(c_29615,plain,
index_207 = index_138,
inference(demodulation,[status(thm),theory(equality)],[c_25594,c_29610]) ).
tff(c_29652,plain,
s(index_138) = index_12,
inference(demodulation,[status(thm),theory(equality)],[c_29615,c_15471]) ).
tff(c_25028,plain,
! [J_271] :
( ( select(q29,J_271) = select(q28,J_271) )
| ( tail = J_271 )
| ( seq = J_271 ) ),
inference(superposition,[status(thm),theory(equality)],[c_15325,c_3311]) ).
tff(c_25034,plain,
( ( select(q28,head) = index_167 )
| ( tail = head )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_25028,c_15855]) ).
tff(c_25054,plain,
select(q28,head) = index_167,
inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_25034]) ).
tff(c_25072,plain,
( ( select(q27,head) = index_167 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_25054,c_16831]) ).
tff(c_25078,plain,
( ( index_167 = index_138 )
| ( seq = head )
| ( tail = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2456,c_25072]) ).
tff(c_25079,plain,
index_167 = index_138,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_25078]) ).
tff(c_19442,plain,
! [J_245] :
( ( select(q25,J_245) = select(q24,J_245) )
| ( tail = J_245 )
| ( seq = J_245 ) ),
inference(superposition,[status(thm),theory(equality)],[c_16424,c_3164]) ).
tff(c_19179,plain,
! [J_239] :
( ( select(q26,J_239) = select(q25,J_239) )
| ( seq = J_239 )
| ( tail = J_239 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3323,c_16781]) ).
tff(c_19185,plain,
( ( select(q25,head) = index_137 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_19179,c_15422]) ).
tff(c_19205,plain,
select(q25,head) = index_137,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_19185]) ).
tff(c_19448,plain,
( ( select(q24,head) = index_137 )
| ( tail = head )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_19442,c_19205]) ).
tff(c_19468,plain,
( ( index_137 = index_117 )
| ( tail = head )
| ( seq = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2474,c_19448]) ).
tff(c_19469,plain,
index_137 = index_117,
inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_19468]) ).
tff(c_19499,plain,
s(index_117) = index_138,
inference(demodulation,[status(thm),theory(equality)],[c_19469,c_268]) ).
tff(c_22444,plain,
! [J_266] :
( ( select(q2,J_266) = select(q1,J_266) )
| ( seq = J_266 )
| ( tail = J_266 ) ),
inference(superposition,[status(thm),theory(equality)],[c_17465,c_3251]) ).
tff(c_22450,plain,
( ( select(q1,head) = index_158 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_22444,c_17384]) ).
tff(c_22470,plain,
select(q1,head) = index_158,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_22450]) ).
tff(c_22488,plain,
( ( select(q0,head) = index_158 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_22470,c_17291]) ).
tff(c_22494,plain,
( ( index_158 = index_0 )
| ( seq = head )
| ( tail = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2417,c_22488]) ).
tff(c_22495,plain,
index_158 = index_0,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_22494]) ).
tff(c_22514,plain,
s(index_0) = index_159,
inference(demodulation,[status(thm),theory(equality)],[c_22495,c_286]) ).
tff(c_22521,plain,
index_6 = index_159,
inference(demodulation,[status(thm),theory(equality)],[c_22514,c_14473]) ).
tff(c_22738,plain,
s(index_159) = index_153,
inference(demodulation,[status(thm),theory(equality)],[c_22521,c_8883]) ).
tff(c_21295,plain,
! [J_254] :
( ( select(q4,J_254) = select(q3,J_254) )
| ( tail = J_254 )
| ( seq = J_254 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3332,c_16682]) ).
tff(c_19273,plain,
! [J_241] :
( ( select(q5,J_241) = select(q4,J_241) )
| ( seq = J_241 )
| ( tail = J_241 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3260,c_13204]) ).
tff(c_19279,plain,
( ( select(q4,head) = index_188 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_19273,c_16570]) ).
tff(c_19299,plain,
select(q4,head) = index_188,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_19279]) ).
tff(c_21301,plain,
( ( select(q3,head) = index_188 )
| ( tail = head )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_21295,c_19299]) ).
tff(c_21321,plain,
( ( index_188 = index_159 )
| ( tail = head )
| ( seq = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2351,c_21301]) ).
tff(c_21322,plain,
index_188 = index_159,
inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_21321]) ).
tff(c_21351,plain,
s(index_159) = index_189,
inference(demodulation,[status(thm),theory(equality)],[c_21322,c_312]) ).
tff(c_22817,plain,
index_189 = index_153,
inference(demodulation,[status(thm),theory(equality)],[c_22738,c_21351]) ).
tff(c_19891,plain,
! [J_248] :
( ( select(q7,J_248) = select(q6,J_248) )
| ( tail = J_248 )
| ( seq = J_248 ) ),
inference(superposition,[status(thm),theory(equality)],[c_16657,c_3242]) ).
tff(c_19845,plain,
! [J_247] :
( ( select(q8,J_247) = select(q7,J_247) )
| ( seq = J_247 )
| ( tail = J_247 ) ),
inference(superposition,[status(thm),theory(equality)],[c_13282,c_3233]) ).
tff(c_19854,plain,
( ( select(q7,head) = index_209 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_19845,c_13099]) ).
tff(c_19874,plain,
select(q7,head) = index_209,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_19854]) ).
tff(c_19897,plain,
( ( select(q6,head) = index_209 )
| ( tail = head )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_19891,c_19874]) ).
tff(c_19917,plain,
( ( index_209 = index_189 )
| ( tail = head )
| ( seq = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2462,c_19897]) ).
tff(c_19918,plain,
index_209 = index_189,
inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_19917]) ).
tff(c_19948,plain,
s(index_189) = index_210,
inference(demodulation,[status(thm),theory(equality)],[c_19918,c_330]) ).
tff(c_23038,plain,
s(index_153) = index_210,
inference(demodulation,[status(thm),theory(equality)],[c_22817,c_19948]) ).
tff(c_23043,plain,
index_210 = index_156,
inference(demodulation,[status(thm),theory(equality)],[c_282,c_23038]) ).
tff(c_19797,plain,
! [J_246] :
( ( select(q11,J_246) = select(q10,J_246) )
| ( seq = J_246 )
| ( tail = J_246 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3281,c_15138]) ).
tff(c_19803,plain,
( ( select(q10,head) = index_26 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_19797,c_17326]) ).
tff(c_19823,plain,
select(q10,head) = index_26,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_19803]) ).
tff(c_20279,plain,
! [J_251] :
( ( select(q9,J_251) = select(q10,J_251) )
| ( tail = J_251 )
| ( seq = J_251 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3413,c_15739]) ).
tff(c_20291,plain,
( ( select(q10,head) = index_210 )
| ( tail = head )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_20279,c_2471]) ).
tff(c_20311,plain,
( ( index_26 = index_210 )
| ( tail = head )
| ( seq = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19823,c_20291]) ).
tff(c_20312,plain,
index_26 = index_210,
inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_20311]) ).
tff(c_20336,plain,
s(index_210) = index_27,
inference(demodulation,[status(thm),theory(equality)],[c_20312,c_338]) ).
tff(c_23068,plain,
s(index_156) = index_27,
inference(demodulation,[status(thm),theory(equality)],[c_23043,c_20336]) ).
tff(c_23073,plain,
index_27 = index_174,
inference(demodulation,[status(thm),theory(equality)],[c_13276,c_23068]) ).
tff(c_20574,plain,
! [J_252] :
( ( select(q13,J_252) = select(q12,J_252) )
| ( tail = J_252 )
| ( seq = J_252 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3410,c_15198]) ).
tff(c_19226,plain,
! [J_240] :
( ( select(q14,J_240) = select(q13,J_240) )
| ( tail = J_240 )
| ( seq = J_240 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3257,c_13542]) ).
tff(c_19235,plain,
( ( select(q13,head) = index_47 )
| ( tail = head )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_19226,c_12965]) ).
tff(c_19255,plain,
select(q13,head) = index_47,
inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_19235]) ).
tff(c_20580,plain,
( ( select(q12,head) = index_47 )
| ( tail = head )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_20574,c_19255]) ).
tff(c_20600,plain,
( ( index_47 = index_27 )
| ( tail = head )
| ( seq = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2390,c_20580]) ).
tff(c_20601,plain,
index_47 = index_27,
inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_20600]) ).
tff(c_20631,plain,
s(index_27) = index_48,
inference(demodulation,[status(thm),theory(equality)],[c_20601,c_356]) ).
tff(c_23115,plain,
s(index_174) = index_48,
inference(demodulation,[status(thm),theory(equality)],[c_23073,c_20631]) ).
tff(c_23120,plain,
index_48 = index_180,
inference(demodulation,[status(thm),theory(equality)],[c_10624,c_23115]) ).
tff(c_20896,plain,
! [J_253] :
( ( select(q17,J_253) = select(q16,J_253) )
| ( seq = J_253 )
| ( tail = J_253 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3245,c_12858]) ).
tff(c_20902,plain,
( ( select(q16,head) = index_68 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_20896,c_12919]) ).
tff(c_20922,plain,
select(q16,head) = index_68,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_20902]) ).
tff(c_20940,plain,
( ( select(q15,head) = index_68 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_20922,c_16259]) ).
tff(c_20946,plain,
( ( index_68 = index_48 )
| ( seq = head )
| ( tail = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2261,c_20940]) ).
tff(c_20947,plain,
index_68 = index_48,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_20946]) ).
tff(c_20965,plain,
s(index_48) = index_69,
inference(demodulation,[status(thm),theory(equality)],[c_20947,c_374]) ).
tff(c_23149,plain,
s(index_180) = index_69,
inference(demodulation,[status(thm),theory(equality)],[c_23120,c_20965]) ).
tff(c_23154,plain,
index_69 = index_186,
inference(demodulation,[status(thm),theory(equality)],[c_6181,c_23149]) ).
tff(c_21813,plain,
! [J_259] :
( ( select(q22,J_259) = select(q21,J_259) )
| ( tail = J_259 )
| ( seq = J_259 ) ),
inference(superposition,[status(thm),theory(equality)],[c_15865,c_3290]) ).
tff(c_21819,plain,
( ( select(q21,head) = index_116 )
| ( tail = head )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_21813,c_18369]) ).
tff(c_21839,plain,
( ( index_96 = index_116 )
| ( tail = head )
| ( seq = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2522,c_21819]) ).
tff(c_21840,plain,
index_96 = index_116,
inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_21839]) ).
tff(c_21904,plain,
s(index_69) = index_116,
inference(demodulation,[status(thm),theory(equality)],[c_21840,c_17990]) ).
tff(c_23177,plain,
s(index_186) = index_116,
inference(demodulation,[status(thm),theory(equality)],[c_23154,c_21904]) ).
tff(c_23207,plain,
index_195 = index_116,
inference(demodulation,[status(thm),theory(equality)],[c_23177,c_12381]) ).
tff(c_23432,plain,
s(index_116) = index_201,
inference(demodulation,[status(thm),theory(equality)],[c_23207,c_5460]) ).
tff(c_23438,plain,
index_201 = index_117,
inference(demodulation,[status(thm),theory(equality)],[c_250,c_23432]) ).
tff(c_23471,plain,
s(index_117) = index_207,
inference(demodulation,[status(thm),theory(equality)],[c_23438,c_2983]) ).
tff(c_23476,plain,
index_207 = index_138,
inference(demodulation,[status(thm),theory(equality)],[c_19499,c_23471]) ).
tff(c_23512,plain,
s(index_138) = index_12,
inference(demodulation,[status(thm),theory(equality)],[c_23476,c_15471]) ).
tff(c_18797,plain,
! [J_238] :
( ( select(q29,J_238) = select(q28,J_238) )
| ( tail = J_238 )
| ( seq = J_238 ) ),
inference(superposition,[status(thm),theory(equality)],[c_15325,c_3311]) ).
tff(c_18803,plain,
( ( select(q28,head) = index_167 )
| ( tail = head )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_18797,c_15855]) ).
tff(c_18823,plain,
select(q28,head) = index_167,
inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_18803]) ).
tff(c_18841,plain,
( ( select(q27,head) = index_167 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_18823,c_16831]) ).
tff(c_18847,plain,
( ( index_167 = index_138 )
| ( seq = head )
| ( tail = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2456,c_18841]) ).
tff(c_18848,plain,
index_167 = index_138,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_18847]) ).
tff(c_2387,plain,
select(q29,tail) = index_150,
inference(superposition,[status(thm),theory(equality)],[c_626,c_2225]) ).
tff(c_288,plain,
select(q29,tail) = index_162,
inference(cnfTransformation,[status(thm)],[f_274]) ).
tff(c_7888,plain,
index_162 = index_150,
inference(demodulation,[status(thm),theory(equality)],[c_2387,c_288]) ).
tff(c_152,plain,
select(q29,seq) = earray_161,
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_12387,plain,
! [J_124] :
( ( select(queue_149,J_124) = select(q29,J_124) )
| ( tail = J_124 ) ),
inference(superposition,[status(thm),theory(equality)],[c_626,c_3145]) ).
tff(c_2393,plain,
select(queue_149,seq) = earray_148,
inference(superposition,[status(thm),theory(equality)],[c_438,c_2225]) ).
tff(c_12393,plain,
( ( select(q29,seq) = earray_148 )
| ( tail = seq ) ),
inference(superposition,[status(thm),theory(equality)],[c_12387,c_2393]) ).
tff(c_12401,plain,
( ( earray_161 = earray_148 )
| ( tail = seq ) ),
inference(demodulation,[status(thm),theory(equality)],[c_152,c_12393]) ).
tff(c_12402,plain,
earray_161 = earray_148,
inference(negUnitSimplification,[status(thm)],[c_10,c_12401]) ).
tff(c_154,plain,
store(earray_161,index_162,e29) = earray_163,
inference(cnfTransformation,[status(thm)],[f_207]) ).
tff(c_3185,plain,
! [J_73] :
( ( select(earray_163,J_73) = select(earray_161,J_73) )
| ( index_162 = J_73 ) ),
inference(superposition,[status(thm),theory(equality)],[c_154,c_3145]) ).
tff(c_16485,plain,
! [J_73] :
( ( select(earray_163,J_73) = select(earray_148,J_73) )
| ( index_150 = J_73 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_7888,c_12402,c_3185]) ).
tff(c_184,plain,
select(q30,seq) = earray_212,
inference(cnfTransformation,[status(thm)],[f_222]) ).
tff(c_590,plain,
queue_169 = q30,
inference(cnfTransformation,[status(thm)],[f_425]) ).
tff(c_452,plain,
store(queue_166,head,index_168) = queue_169,
inference(cnfTransformation,[status(thm)],[f_356]) ).
tff(c_624,plain,
store(queue_166,head,index_168) = q30,
inference(demodulation,[status(thm),theory(equality)],[c_590,c_452]) ).
tff(c_15921,plain,
! [J_184] :
( ( select(queue_166,J_184) = select(q30,J_184) )
| ( head = J_184 ) ),
inference(superposition,[status(thm),theory(equality)],[c_624,c_3145]) ).
tff(c_3371,plain,
! [J_73] :
( ( select(queue_166,J_73) = select(queue_164,J_73) )
| ( tail = J_73 ) ),
inference(superposition,[status(thm),theory(equality)],[c_450,c_3145]) ).
tff(c_18476,plain,
! [J_237] :
( ( select(queue_164,J_237) = select(q30,J_237) )
| ( tail = J_237 )
| ( head = J_237 ) ),
inference(superposition,[status(thm),theory(equality)],[c_15921,c_3371]) ).
tff(c_2501,plain,
select(queue_164,seq) = earray_163,
inference(superposition,[status(thm),theory(equality)],[c_448,c_2225]) ).
tff(c_18488,plain,
( ( select(q30,seq) = earray_163 )
| ( tail = seq )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_18476,c_2501]) ).
tff(c_18505,plain,
( ( earray_212 = earray_163 )
| ( tail = seq )
| ( seq = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_184,c_18488]) ).
tff(c_18506,plain,
earray_212 = earray_163,
inference(negUnitSimplification,[status(thm)],[c_8,c_10,c_18505]) ).
tff(c_2519,plain,
select(q30,head) = index_168,
inference(superposition,[status(thm),theory(equality)],[c_624,c_2225]) ).
tff(c_332,plain,
select(q30,head) = index_213,
inference(cnfTransformation,[status(thm)],[f_296]) ).
tff(c_2842,plain,
index_213 = index_168,
inference(demodulation,[status(thm),theory(equality)],[c_2519,c_332]) ).
tff(c_234,plain,
select(earray_212,index_213) = elem_214,
inference(cnfTransformation,[status(thm)],[f_247]) ).
tff(c_2847,plain,
select(earray_212,index_168) = elem_214,
inference(demodulation,[status(thm),theory(equality)],[c_2842,c_234]) ).
tff(c_18513,plain,
select(earray_163,index_168) = elem_214,
inference(demodulation,[status(thm),theory(equality)],[c_18506,c_2847]) ).
tff(c_18527,plain,
( ( select(earray_148,index_168) = elem_214 )
| ( index_168 = index_150 ) ),
inference(superposition,[status(thm),theory(equality)],[c_16485,c_18513]) ).
tff(c_18535,plain,
index_168 = index_150,
inference(splitLeft,[status(thm)],[c_18527]) ).
tff(c_18549,plain,
s(index_167) = index_150,
inference(demodulation,[status(thm),theory(equality)],[c_18535,c_294]) ).
tff(c_18862,plain,
s(index_138) = index_150,
inference(demodulation,[status(thm),theory(equality)],[c_18848,c_18549]) ).
tff(c_23582,plain,
index_150 = index_12,
inference(demodulation,[status(thm),theory(equality)],[c_23512,c_18862]) ).
tff(c_290,plain,
s(index_162) = index_165,
inference(cnfTransformation,[status(thm)],[f_275]) ).
tff(c_8031,plain,
s(index_150) = index_165,
inference(demodulation,[status(thm),theory(equality)],[c_7888,c_290]) ).
tff(c_23824,plain,
s(index_12) = index_165,
inference(demodulation,[status(thm),theory(equality)],[c_23582,c_8031]) ).
tff(c_23851,plain,
index_18 = index_165,
inference(demodulation,[status(thm),theory(equality)],[c_23824,c_11328]) ).
tff(c_24031,plain,
s(index_165) = index_24,
inference(demodulation,[status(thm),theory(equality)],[c_23851,c_5115]) ).
tff(c_2339,plain,
select(q28,tail) = index_144,
inference(superposition,[status(thm),theory(equality)],[c_627,c_2225]) ).
tff(c_274,plain,
select(q28,tail) = index_147,
inference(cnfTransformation,[status(thm)],[f_267]) ).
tff(c_7484,plain,
index_147 = index_144,
inference(demodulation,[status(thm),theory(equality)],[c_2339,c_274]) ).
tff(c_278,plain,
s(index_147) = index_150,
inference(cnfTransformation,[status(thm)],[f_269]) ).
tff(c_7494,plain,
s(index_144) = index_150,
inference(demodulation,[status(thm),theory(equality)],[c_7484,c_278]) ).
tff(c_23829,plain,
s(index_144) = index_12,
inference(demodulation,[status(thm),theory(equality)],[c_23582,c_7494]) ).
tff(c_36,plain,
! [X_20] : ( s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X_20)))))))))))))))))))))))))))))))))))))) != X_20 ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_24453,plain,
s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(index_12))))))))))))))))))))))))))))))))))))) != index_144,
inference(superposition,[status(thm),theory(equality)],[c_23829,c_36]) ).
tff(c_24581,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16009,c_3764,c_9349,c_14879,c_5829,c_3469,c_16922,c_4066,c_10857,c_13896,c_10443,c_6964,c_11931,c_4510,c_11082,c_13844,c_24031,c_23824,c_23829,c_16009,c_3764,c_9349,c_14879,c_5829,c_3469,c_16922,c_4066,c_10857,c_13896,c_10443,c_6964,c_11931,c_4510,c_11082,c_13844,c_24031,c_23824,c_24453]) ).
tff(c_24582,plain,
select(earray_148,index_168) = elem_214,
inference(splitRight,[status(thm)],[c_18527]) ).
tff(c_142,plain,
select(q28,seq) = earray_146,
inference(cnfTransformation,[status(thm)],[f_201]) ).
tff(c_2330,plain,
select(queue_143,seq) = earray_142,
inference(superposition,[status(thm),theory(equality)],[c_434,c_2225]) ).
tff(c_16834,plain,
( ( select(q28,seq) = earray_142 )
| ( tail = seq ) ),
inference(superposition,[status(thm),theory(equality)],[c_16825,c_2330]) ).
tff(c_16845,plain,
( ( earray_146 = earray_142 )
| ( tail = seq ) ),
inference(demodulation,[status(thm),theory(equality)],[c_142,c_16834]) ).
tff(c_16846,plain,
earray_146 = earray_142,
inference(negUnitSimplification,[status(thm)],[c_10,c_16845]) ).
tff(c_144,plain,
store(earray_146,index_147,e28) = earray_148,
inference(cnfTransformation,[status(thm)],[f_202]) ).
tff(c_7490,plain,
store(earray_146,index_144,e28) = earray_148,
inference(demodulation,[status(thm),theory(equality)],[c_7484,c_144]) ).
tff(c_11805,plain,
! [J_5] :
( ( select(earray_148,J_5) = select(earray_146,J_5) )
| ( index_144 = J_5 ) ),
inference(superposition,[status(thm),theory(equality)],[c_7490,c_4]) ).
tff(c_17634,plain,
! [J_5] :
( ( select(earray_148,J_5) = select(earray_142,J_5) )
| ( index_144 = J_5 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16846,c_11805]) ).
tff(c_24587,plain,
( ( select(earray_142,index_168) = elem_214 )
| ( index_168 = index_144 ) ),
inference(superposition,[status(thm),theory(equality)],[c_24582,c_17634]) ).
tff(c_24596,plain,
index_168 = index_144,
inference(splitLeft,[status(thm)],[c_24587]) ).
tff(c_24613,plain,
s(index_167) = index_144,
inference(demodulation,[status(thm),theory(equality)],[c_24596,c_294]) ).
tff(c_25091,plain,
s(index_138) = index_144,
inference(demodulation,[status(thm),theory(equality)],[c_25079,c_24613]) ).
tff(c_29723,plain,
index_144 = index_12,
inference(demodulation,[status(thm),theory(equality)],[c_29652,c_25091]) ).
tff(c_29960,plain,
s(index_135) = index_12,
inference(demodulation,[status(thm),theory(equality)],[c_29723,c_16009]) ).
tff(c_40,plain,
! [X_22] : ( s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X_22)))))))))))))))))))))))))))))))))))) != X_22 ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_30039,plain,
s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(index_12))))))))))))))))))))))))))))))))))) != index_135,
inference(superposition,[status(thm),theory(equality)],[c_29960,c_40]) ).
tff(c_30163,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3764,c_9349,c_14879,c_5829,c_3469,c_16922,c_4066,c_10857,c_13896,c_10443,c_6964,c_11931,c_4510,c_11082,c_13844,c_5115,c_11328,c_29960,c_3764,c_9349,c_14879,c_5829,c_3469,c_16922,c_4066,c_10857,c_13896,c_10443,c_6964,c_11931,c_4510,c_11082,c_13844,c_5115,c_11328,c_30039]) ).
tff(c_30164,plain,
select(earray_142,index_168) = elem_214,
inference(splitRight,[status(thm)],[c_24587]) ).
tff(c_30173,plain,
( ( select(earray_140,index_168) = elem_214 )
| ( index_168 = index_135 ) ),
inference(superposition,[status(thm),theory(equality)],[c_15999,c_30164]) ).
tff(c_30179,plain,
index_168 = index_135,
inference(splitLeft,[status(thm)],[c_30173]) ).
tff(c_30197,plain,
s(index_167) = index_135,
inference(demodulation,[status(thm),theory(equality)],[c_30179,c_294]) ).
tff(c_31716,plain,
s(index_138) = index_135,
inference(demodulation,[status(thm),theory(equality)],[c_31700,c_30197]) ).
tff(c_35249,plain,
index_135 = index_12,
inference(demodulation,[status(thm),theory(equality)],[c_35178,c_31716]) ).
tff(c_35499,plain,
s(index_129) = index_12,
inference(demodulation,[status(thm),theory(equality)],[c_35249,c_3764]) ).
tff(c_44,plain,
! [X_24] : ( s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(X_24)))))))))))))))))))))))))))))))))) != X_24 ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_35606,plain,
s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(s(index_12))))))))))))))))))))))))))))))))) != index_129,
inference(superposition,[status(thm),theory(equality)],[c_35499,c_44]) ).
tff(c_35726,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_9349,c_14879,c_5829,c_3469,c_16922,c_4066,c_10857,c_13896,c_10443,c_6964,c_11931,c_4510,c_11082,c_13844,c_5115,c_11328,c_35499,c_9349,c_14879,c_5829,c_3469,c_16922,c_4066,c_10857,c_13896,c_10443,c_6964,c_11931,c_4510,c_11082,c_13844,c_5115,c_11328,c_35606]) ).
tff(c_35727,plain,
select(earray_140,index_168) = elem_214,
inference(splitRight,[status(thm)],[c_30173]) ).
tff(c_37331,plain,
select(earray_133,index_168) = elem_214,
inference(demodulation,[status(thm),theory(equality)],[c_37324,c_35727]) ).
tff(c_132,plain,
select(q26,seq) = earray_131,
inference(cnfTransformation,[status(thm)],[f_196]) ).
tff(c_13605,plain,
! [J_149] :
( ( select(queue_128,J_149) = select(q26,J_149) )
| ( tail = J_149 ) ),
inference(superposition,[status(thm),theory(equality)],[c_629,c_3145]) ).
tff(c_2240,plain,
select(queue_128,seq) = earray_127,
inference(superposition,[status(thm),theory(equality)],[c_422,c_2225]) ).
tff(c_13611,plain,
( ( select(q26,seq) = earray_127 )
| ( tail = seq ) ),
inference(superposition,[status(thm),theory(equality)],[c_13605,c_2240]) ).
tff(c_13619,plain,
( ( earray_131 = earray_127 )
| ( tail = seq ) ),
inference(demodulation,[status(thm),theory(equality)],[c_132,c_13611]) ).
tff(c_13620,plain,
earray_131 = earray_127,
inference(negUnitSimplification,[status(thm)],[c_10,c_13619]) ).
tff(c_134,plain,
store(earray_131,index_132,e26) = earray_133,
inference(cnfTransformation,[status(thm)],[f_197]) ).
tff(c_3428,plain,
! [J_73] :
( ( select(earray_133,J_73) = select(earray_131,J_73) )
| ( index_132 = J_73 ) ),
inference(superposition,[status(thm),theory(equality)],[c_134,c_3145]) ).
tff(c_16449,plain,
! [J_73] :
( ( select(earray_133,J_73) = select(earray_127,J_73) )
| ( index_129 = J_73 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3754,c_13620,c_3428]) ).
tff(c_37347,plain,
( ( select(earray_127,index_168) = elem_214 )
| ( index_168 = index_129 ) ),
inference(superposition,[status(thm),theory(equality)],[c_37331,c_16449]) ).
tff(c_37365,plain,
index_168 = index_129,
inference(splitLeft,[status(thm)],[c_37347]) ).
tff(c_37382,plain,
s(index_138) = index_129,
inference(demodulation,[status(thm),theory(equality)],[c_37365,c_35850]) ).
tff(c_40948,plain,
index_129 = index_12,
inference(demodulation,[status(thm),theory(equality)],[c_40878,c_37382]) ).
tff(c_41196,plain,
s(index_12) = index_135,
inference(demodulation,[status(thm),theory(equality)],[c_40948,c_3764]) ).
tff(c_41221,plain,
index_18 = index_135,
inference(demodulation,[status(thm),theory(equality)],[c_41196,c_11328]) ).
tff(c_41450,plain,
s(index_135) = index_24,
inference(demodulation,[status(thm),theory(equality)],[c_41221,c_5115]) ).
tff(c_41455,plain,
index_24 = index_144,
inference(demodulation,[status(thm),theory(equality)],[c_16009,c_41450]) ).
tff(c_41457,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_17824,c_41455]) ).
tff(c_41458,plain,
select(earray_127,index_168) = elem_214,
inference(splitRight,[status(thm)],[c_37347]) ).
tff(c_128,plain,
select(q25,seq) = earray_125,
inference(cnfTransformation,[status(thm)],[f_194]) ).
tff(c_12217,plain,
! [J_118] :
( ( select(queue_122,J_118) = select(q25,J_118) )
| ( tail = J_118 ) ),
inference(superposition,[status(thm),theory(equality)],[c_631,c_3145]) ).
tff(c_2285,plain,
select(queue_122,seq) = earray_121,
inference(superposition,[status(thm),theory(equality)],[c_418,c_2225]) ).
tff(c_12223,plain,
( ( select(q25,seq) = earray_121 )
| ( tail = seq ) ),
inference(superposition,[status(thm),theory(equality)],[c_12217,c_2285]) ).
tff(c_12231,plain,
( ( earray_125 = earray_121 )
| ( tail = seq ) ),
inference(demodulation,[status(thm),theory(equality)],[c_128,c_12223]) ).
tff(c_12232,plain,
earray_125 = earray_121,
inference(negUnitSimplification,[status(thm)],[c_10,c_12231]) ).
tff(c_130,plain,
store(earray_125,index_126,e25) = earray_127,
inference(cnfTransformation,[status(thm)],[f_195]) ).
tff(c_3416,plain,
! [J_73] :
( ( select(earray_127,J_73) = select(earray_125,J_73) )
| ( index_126 = J_73 ) ),
inference(superposition,[status(thm),theory(equality)],[c_130,c_3145]) ).
tff(c_14818,plain,
! [J_73] :
( ( select(earray_127,J_73) = select(earray_121,J_73) )
| ( index_123 = J_73 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_9339,c_12232,c_3416]) ).
tff(c_41463,plain,
( ( select(earray_121,index_168) = elem_214 )
| ( index_168 = index_123 ) ),
inference(superposition,[status(thm),theory(equality)],[c_41458,c_14818]) ).
tff(c_41472,plain,
index_168 = index_123,
inference(splitLeft,[status(thm)],[c_41463]) ).
tff(c_41491,plain,
s(index_138) = index_123,
inference(demodulation,[status(thm),theory(equality)],[c_41472,c_35850]) ).
tff(c_45035,plain,
index_123 = index_12,
inference(demodulation,[status(thm),theory(equality)],[c_44967,c_41491]) ).
tff(c_45283,plain,
s(index_12) = index_129,
inference(demodulation,[status(thm),theory(equality)],[c_45035,c_9349]) ).
tff(c_45308,plain,
index_18 = index_129,
inference(demodulation,[status(thm),theory(equality)],[c_45283,c_11328]) ).
tff(c_45537,plain,
s(index_129) = index_24,
inference(demodulation,[status(thm),theory(equality)],[c_45308,c_5115]) ).
tff(c_45542,plain,
index_24 = index_135,
inference(demodulation,[status(thm),theory(equality)],[c_3764,c_45537]) ).
tff(c_45544,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_17771,c_45542]) ).
tff(c_45545,plain,
select(earray_121,index_168) = elem_214,
inference(splitRight,[status(thm)],[c_41463]) ).
tff(c_124,plain,
select(q24,seq) = earray_119,
inference(cnfTransformation,[status(thm)],[f_192]) ).
tff(c_3395,plain,
! [J_73] :
( ( select(queue_115,J_73) = select(q24,J_73) )
| ( head = J_73 ) ),
inference(superposition,[status(thm),theory(equality)],[c_632,c_3145]) ).
tff(c_18262,plain,
! [J_232] :
( ( select(queue_113,J_232) = select(q24,J_232) )
| ( head = J_232 )
| ( tail = J_232 ) ),
inference(superposition,[status(thm),theory(equality)],[c_16285,c_3395]) ).
tff(c_2441,plain,
select(queue_113,seq) = earray_112,
inference(superposition,[status(thm),theory(equality)],[c_412,c_2225]) ).
tff(c_18274,plain,
( ( select(q24,seq) = earray_112 )
| ( seq = head )
| ( tail = seq ) ),
inference(superposition,[status(thm),theory(equality)],[c_18262,c_2441]) ).
tff(c_18291,plain,
( ( earray_119 = earray_112 )
| ( seq = head )
| ( tail = seq ) ),
inference(demodulation,[status(thm),theory(equality)],[c_124,c_18274]) ).
tff(c_18292,plain,
earray_119 = earray_112,
inference(negUnitSimplification,[status(thm)],[c_10,c_8,c_18291]) ).
tff(c_126,plain,
store(earray_119,index_120,e24) = earray_121,
inference(cnfTransformation,[status(thm)],[f_193]) ).
tff(c_3278,plain,
! [J_73] :
( ( select(earray_121,J_73) = select(earray_119,J_73) )
| ( index_120 = J_73 ) ),
inference(superposition,[status(thm),theory(equality)],[c_126,c_3145]) ).
tff(c_15772,plain,
! [J_73] :
( ( select(earray_121,J_73) = select(earray_119,J_73) )
| ( index_114 = J_73 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14860,c_3278]) ).
tff(c_18299,plain,
! [J_73] :
( ( select(earray_121,J_73) = select(earray_112,J_73) )
| ( index_114 = J_73 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18292,c_15772]) ).
tff(c_45551,plain,
( ( select(earray_112,index_168) = elem_214 )
| ( index_168 = index_114 ) ),
inference(superposition,[status(thm),theory(equality)],[c_45545,c_18299]) ).
tff(c_45560,plain,
index_168 = index_114,
inference(splitLeft,[status(thm)],[c_45551]) ).
tff(c_45608,plain,
s(index_138) = index_114,
inference(demodulation,[status(thm),theory(equality)],[c_45560,c_35850]) ).
tff(c_47637,plain,
! [J_378] :
( ( select(q25,J_378) = select(q24,J_378) )
| ( tail = J_378 )
| ( seq = J_378 ) ),
inference(superposition,[status(thm),theory(equality)],[c_16424,c_3164]) ).
tff(c_47643,plain,
( ( select(q24,head) = index_137 )
| ( tail = head )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_47637,c_35762]) ).
tff(c_47663,plain,
( ( index_137 = index_117 )
| ( tail = head )
| ( seq = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2474,c_47643]) ).
tff(c_47664,plain,
index_137 = index_117,
inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_47663]) ).
tff(c_47693,plain,
s(index_117) = index_138,
inference(demodulation,[status(thm),theory(equality)],[c_47664,c_268]) ).
tff(c_48102,plain,
! [J_379] :
( ( select(q2,J_379) = select(q1,J_379) )
| ( tail = J_379 )
| ( seq = J_379 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3251,c_17465]) ).
tff(c_48108,plain,
( ( select(q1,head) = index_158 )
| ( tail = head )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_48102,c_17384]) ).
tff(c_48128,plain,
select(q1,head) = index_158,
inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_48108]) ).
tff(c_48146,plain,
( ( select(q0,head) = index_158 )
| ( tail = head )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_48128,c_17282]) ).
tff(c_48152,plain,
( ( index_158 = index_0 )
| ( tail = head )
| ( seq = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2417,c_48146]) ).
tff(c_48153,plain,
index_158 = index_0,
inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_48152]) ).
tff(c_48172,plain,
s(index_0) = index_159,
inference(demodulation,[status(thm),theory(equality)],[c_48153,c_286]) ).
tff(c_48179,plain,
index_6 = index_159,
inference(demodulation,[status(thm),theory(equality)],[c_48172,c_14473]) ).
tff(c_48395,plain,
s(index_159) = index_153,
inference(demodulation,[status(thm),theory(equality)],[c_48179,c_8883]) ).
tff(c_47266,plain,
! [J_377] :
( ( select(q4,J_377) = select(q3,J_377) )
| ( seq = J_377 )
| ( tail = J_377 ) ),
inference(superposition,[status(thm),theory(equality)],[c_16682,c_3332]) ).
tff(c_46373,plain,
! [J_371] :
( ( select(q5,J_371) = select(q4,J_371) )
| ( seq = J_371 )
| ( tail = J_371 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3260,c_13204]) ).
tff(c_46379,plain,
( ( select(q4,head) = index_188 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_46373,c_16570]) ).
tff(c_46399,plain,
select(q4,head) = index_188,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_46379]) ).
tff(c_47272,plain,
( ( select(q3,head) = index_188 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_47266,c_46399]) ).
tff(c_47292,plain,
( ( index_188 = index_159 )
| ( seq = head )
| ( tail = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2351,c_47272]) ).
tff(c_47293,plain,
index_188 = index_159,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_47292]) ).
tff(c_47324,plain,
s(index_159) = index_189,
inference(demodulation,[status(thm),theory(equality)],[c_47293,c_312]) ).
tff(c_48451,plain,
index_189 = index_153,
inference(demodulation,[status(thm),theory(equality)],[c_48395,c_47324]) ).
tff(c_46895,plain,
! [J_376] :
( ( select(q7,J_376) = select(q6,J_376) )
| ( seq = J_376 )
| ( tail = J_376 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3242,c_16657]) ).
tff(c_46901,plain,
( ( select(q6,head) = index_209 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_46895,c_36268]) ).
tff(c_46921,plain,
( ( index_209 = index_189 )
| ( seq = head )
| ( tail = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2462,c_46901]) ).
tff(c_46922,plain,
index_209 = index_189,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_46921]) ).
tff(c_46953,plain,
s(index_189) = index_210,
inference(demodulation,[status(thm),theory(equality)],[c_46922,c_330]) ).
tff(c_48697,plain,
s(index_153) = index_210,
inference(demodulation,[status(thm),theory(equality)],[c_48451,c_46953]) ).
tff(c_48702,plain,
index_210 = index_156,
inference(demodulation,[status(thm),theory(equality)],[c_282,c_48697]) ).
tff(c_46498,plain,
! [J_374] :
( ( select(q9,J_374) = select(q10,J_374) )
| ( tail = J_374 )
| ( seq = J_374 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3413,c_15739]) ).
tff(c_46510,plain,
( ( select(q10,head) = index_210 )
| ( tail = head )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_46498,c_2471]) ).
tff(c_46530,plain,
( ( index_26 = index_210 )
| ( tail = head )
| ( seq = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36918,c_46510]) ).
tff(c_46531,plain,
index_26 = index_210,
inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_46530]) ).
tff(c_46555,plain,
s(index_210) = index_27,
inference(demodulation,[status(thm),theory(equality)],[c_46531,c_338]) ).
tff(c_48726,plain,
s(index_156) = index_27,
inference(demodulation,[status(thm),theory(equality)],[c_48702,c_46555]) ).
tff(c_48735,plain,
index_27 = index_174,
inference(demodulation,[status(thm),theory(equality)],[c_13276,c_48726]) ).
tff(c_48757,plain,
s(index_174) = index_48,
inference(demodulation,[status(thm),theory(equality)],[c_48735,c_36994]) ).
tff(c_48763,plain,
index_48 = index_180,
inference(demodulation,[status(thm),theory(equality)],[c_10624,c_48757]) ).
tff(c_48812,plain,
s(index_180) = index_69,
inference(demodulation,[status(thm),theory(equality)],[c_48763,c_36434]) ).
tff(c_48816,plain,
index_69 = index_186,
inference(demodulation,[status(thm),theory(equality)],[c_6181,c_48812]) ).
tff(c_45952,plain,
! [J_368] :
( ( select(q22,J_368) = select(q21,J_368) )
| ( tail = J_368 )
| ( seq = J_368 ) ),
inference(superposition,[status(thm),theory(equality)],[c_15865,c_3290]) ).
tff(c_45958,plain,
( ( select(q21,head) = index_116 )
| ( tail = head )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_45952,c_18369]) ).
tff(c_45978,plain,
( ( index_96 = index_116 )
| ( tail = head )
| ( seq = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2522,c_45958]) ).
tff(c_45979,plain,
index_96 = index_116,
inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_45978]) ).
tff(c_46026,plain,
s(index_69) = index_116,
inference(demodulation,[status(thm),theory(equality)],[c_45979,c_17990]) ).
tff(c_48841,plain,
s(index_186) = index_116,
inference(demodulation,[status(thm),theory(equality)],[c_48816,c_46026]) ).
tff(c_48872,plain,
index_195 = index_116,
inference(demodulation,[status(thm),theory(equality)],[c_48841,c_12381]) ).
tff(c_49097,plain,
s(index_116) = index_201,
inference(demodulation,[status(thm),theory(equality)],[c_48872,c_5460]) ).
tff(c_49103,plain,
index_201 = index_117,
inference(demodulation,[status(thm),theory(equality)],[c_250,c_49097]) ).
tff(c_49137,plain,
s(index_117) = index_207,
inference(demodulation,[status(thm),theory(equality)],[c_49103,c_2983]) ).
tff(c_49142,plain,
index_207 = index_138,
inference(demodulation,[status(thm),theory(equality)],[c_47693,c_49137]) ).
tff(c_49177,plain,
s(index_138) = index_12,
inference(demodulation,[status(thm),theory(equality)],[c_49142,c_15471]) ).
tff(c_49188,plain,
index_12 = index_114,
inference(demodulation,[status(thm),theory(equality)],[c_45608,c_49177]) ).
tff(c_49269,plain,
s(index_114) = index_18,
inference(demodulation,[status(thm),theory(equality)],[c_49188,c_11328]) ).
tff(c_49275,plain,
index_18 = index_123,
inference(demodulation,[status(thm),theory(equality)],[c_14879,c_49269]) ).
tff(c_49305,plain,
s(index_123) = index_24,
inference(demodulation,[status(thm),theory(equality)],[c_49275,c_5115]) ).
tff(c_49310,plain,
index_24 = index_129,
inference(demodulation,[status(thm),theory(equality)],[c_9349,c_49305]) ).
tff(c_49312,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16968,c_49310]) ).
tff(c_49313,plain,
select(earray_112,index_168) = elem_214,
inference(splitRight,[status(thm)],[c_45551]) ).
tff(c_49322,plain,
( ( select(earray_106,index_168) = elem_214 )
| ( index_168 = index_108 ) ),
inference(superposition,[status(thm),theory(equality)],[c_16740,c_49313]) ).
tff(c_49354,plain,
index_168 = index_108,
inference(splitLeft,[status(thm)],[c_49322]) ).
tff(c_49377,plain,
s(index_138) = index_108,
inference(demodulation,[status(thm),theory(equality)],[c_49354,c_35850]) ).
tff(c_50078,plain,
! [J_382] :
( ( select(q25,J_382) = select(q24,J_382) )
| ( seq = J_382 )
| ( tail = J_382 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3164,c_16424]) ).
tff(c_50084,plain,
( ( select(q24,head) = index_137 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_50078,c_35762]) ).
tff(c_50104,plain,
( ( index_137 = index_117 )
| ( seq = head )
| ( tail = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2474,c_50084]) ).
tff(c_50105,plain,
index_137 = index_117,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_50104]) ).
tff(c_50134,plain,
s(index_117) = index_138,
inference(demodulation,[status(thm),theory(equality)],[c_50105,c_268]) ).
tff(c_51843,plain,
! [J_392] :
( ( select(q2,J_392) = select(q1,J_392) )
| ( tail = J_392 )
| ( seq = J_392 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3251,c_17465]) ).
tff(c_51849,plain,
( ( select(q1,head) = index_158 )
| ( tail = head )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_51843,c_17384]) ).
tff(c_51869,plain,
select(q1,head) = index_158,
inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_51849]) ).
tff(c_51887,plain,
( ( select(q0,head) = index_158 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_51869,c_17291]) ).
tff(c_51893,plain,
( ( index_158 = index_0 )
| ( seq = head )
| ( tail = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2417,c_51887]) ).
tff(c_51894,plain,
index_158 = index_0,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_51893]) ).
tff(c_51914,plain,
s(index_0) = index_159,
inference(demodulation,[status(thm),theory(equality)],[c_51894,c_286]) ).
tff(c_51920,plain,
index_6 = index_159,
inference(demodulation,[status(thm),theory(equality)],[c_51914,c_14473]) ).
tff(c_52137,plain,
s(index_159) = index_153,
inference(demodulation,[status(thm),theory(equality)],[c_51920,c_8883]) ).
tff(c_51380,plain,
! [J_389] :
( ( select(q4,J_389) = select(q3,J_389) )
| ( tail = J_389 )
| ( seq = J_389 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3332,c_16682]) ).
tff(c_50491,plain,
! [J_383] :
( ( select(q5,J_383) = select(q4,J_383) )
| ( seq = J_383 )
| ( tail = J_383 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3260,c_13204]) ).
tff(c_50497,plain,
( ( select(q4,head) = index_188 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_50491,c_16570]) ).
tff(c_50517,plain,
select(q4,head) = index_188,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_50497]) ).
tff(c_51386,plain,
( ( select(q3,head) = index_188 )
| ( tail = head )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_51380,c_50517]) ).
tff(c_51406,plain,
( ( index_188 = index_159 )
| ( tail = head )
| ( seq = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2351,c_51386]) ).
tff(c_51407,plain,
index_188 = index_159,
inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_51406]) ).
tff(c_51438,plain,
s(index_159) = index_189,
inference(demodulation,[status(thm),theory(equality)],[c_51407,c_312]) ).
tff(c_52218,plain,
index_189 = index_153,
inference(demodulation,[status(thm),theory(equality)],[c_52137,c_51438]) ).
tff(c_50926,plain,
! [J_386] :
( ( select(q7,J_386) = select(q6,J_386) )
| ( seq = J_386 )
| ( tail = J_386 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3242,c_16657]) ).
tff(c_50932,plain,
( ( select(q6,head) = index_209 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_50926,c_36268]) ).
tff(c_50952,plain,
( ( index_209 = index_189 )
| ( seq = head )
| ( tail = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2462,c_50932]) ).
tff(c_50953,plain,
index_209 = index_189,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_50952]) ).
tff(c_50984,plain,
s(index_189) = index_210,
inference(demodulation,[status(thm),theory(equality)],[c_50953,c_330]) ).
tff(c_52445,plain,
s(index_153) = index_210,
inference(demodulation,[status(thm),theory(equality)],[c_52218,c_50984]) ).
tff(c_52454,plain,
index_210 = index_156,
inference(demodulation,[status(thm),theory(equality)],[c_282,c_52445]) ).
tff(c_50537,plain,
! [J_384] :
( ( select(q9,J_384) = select(q10,J_384) )
| ( tail = J_384 )
| ( seq = J_384 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3413,c_15739]) ).
tff(c_50549,plain,
( ( select(q10,head) = index_210 )
| ( tail = head )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_50537,c_2471]) ).
tff(c_50569,plain,
( ( index_26 = index_210 )
| ( tail = head )
| ( seq = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36918,c_50549]) ).
tff(c_50570,plain,
index_26 = index_210,
inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_50569]) ).
tff(c_50595,plain,
s(index_210) = index_27,
inference(demodulation,[status(thm),theory(equality)],[c_50570,c_338]) ).
tff(c_52489,plain,
s(index_156) = index_27,
inference(demodulation,[status(thm),theory(equality)],[c_52454,c_50595]) ).
tff(c_52495,plain,
index_27 = index_174,
inference(demodulation,[status(thm),theory(equality)],[c_13276,c_52489]) ).
tff(c_52536,plain,
s(index_174) = index_48,
inference(demodulation,[status(thm),theory(equality)],[c_52495,c_36994]) ).
tff(c_52542,plain,
index_48 = index_180,
inference(demodulation,[status(thm),theory(equality)],[c_10624,c_52536]) ).
tff(c_52574,plain,
s(index_180) = index_69,
inference(demodulation,[status(thm),theory(equality)],[c_52542,c_36434]) ).
tff(c_52578,plain,
index_69 = index_186,
inference(demodulation,[status(thm),theory(equality)],[c_6181,c_52574]) ).
tff(c_49737,plain,
! [J_381] :
( ( select(q22,J_381) = select(q21,J_381) )
| ( tail = J_381 )
| ( seq = J_381 ) ),
inference(superposition,[status(thm),theory(equality)],[c_15865,c_3290]) ).
tff(c_49743,plain,
( ( select(q21,head) = index_116 )
| ( tail = head )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_49737,c_18369]) ).
tff(c_49763,plain,
( ( index_96 = index_116 )
| ( tail = head )
| ( seq = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2522,c_49743]) ).
tff(c_49764,plain,
index_96 = index_116,
inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_49763]) ).
tff(c_49811,plain,
s(index_69) = index_116,
inference(demodulation,[status(thm),theory(equality)],[c_49764,c_17990]) ).
tff(c_52604,plain,
s(index_186) = index_116,
inference(demodulation,[status(thm),theory(equality)],[c_52578,c_49811]) ).
tff(c_52635,plain,
index_195 = index_116,
inference(demodulation,[status(thm),theory(equality)],[c_52604,c_12381]) ).
tff(c_52860,plain,
s(index_116) = index_201,
inference(demodulation,[status(thm),theory(equality)],[c_52635,c_5460]) ).
tff(c_52866,plain,
index_201 = index_117,
inference(demodulation,[status(thm),theory(equality)],[c_250,c_52860]) ).
tff(c_52900,plain,
s(index_117) = index_207,
inference(demodulation,[status(thm),theory(equality)],[c_52866,c_2983]) ).
tff(c_52905,plain,
index_207 = index_138,
inference(demodulation,[status(thm),theory(equality)],[c_50134,c_52900]) ).
tff(c_52941,plain,
s(index_138) = index_12,
inference(demodulation,[status(thm),theory(equality)],[c_52905,c_15471]) ).
tff(c_52952,plain,
index_12 = index_108,
inference(demodulation,[status(thm),theory(equality)],[c_49377,c_52941]) ).
tff(c_53032,plain,
s(index_108) = index_18,
inference(demodulation,[status(thm),theory(equality)],[c_52952,c_11328]) ).
tff(c_53038,plain,
index_18 = index_114,
inference(demodulation,[status(thm),theory(equality)],[c_5829,c_53032]) ).
tff(c_53067,plain,
s(index_114) = index_24,
inference(demodulation,[status(thm),theory(equality)],[c_53038,c_5115]) ).
tff(c_53072,plain,
index_24 = index_123,
inference(demodulation,[status(thm),theory(equality)],[c_14879,c_53067]) ).
tff(c_53074,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16970,c_53072]) ).
tff(c_53075,plain,
select(earray_106,index_168) = elem_214,
inference(splitRight,[status(thm)],[c_49322]) ).
tff(c_116,plain,
select(q22,seq) = earray_104,
inference(cnfTransformation,[status(thm)],[f_188]) ).
tff(c_15111,plain,
! [J_167] :
( ( select(queue_101,J_167) = select(q22,J_167) )
| ( tail = J_167 ) ),
inference(superposition,[status(thm),theory(equality)],[c_634,c_3145]) ).
tff(c_2438,plain,
select(queue_101,seq) = earray_100,
inference(superposition,[status(thm),theory(equality)],[c_402,c_2225]) ).
tff(c_15117,plain,
( ( select(q22,seq) = earray_100 )
| ( tail = seq ) ),
inference(superposition,[status(thm),theory(equality)],[c_15111,c_2438]) ).
tff(c_15125,plain,
( ( earray_104 = earray_100 )
| ( tail = seq ) ),
inference(demodulation,[status(thm),theory(equality)],[c_116,c_15117]) ).
tff(c_15126,plain,
earray_104 = earray_100,
inference(negUnitSimplification,[status(thm)],[c_10,c_15125]) ).
tff(c_118,plain,
store(earray_104,index_105,e22) = earray_106,
inference(cnfTransformation,[status(thm)],[f_189]) ).
tff(c_3465,plain,
store(earray_104,index_102,e22) = earray_106,
inference(demodulation,[status(thm),theory(equality)],[c_3460,c_118]) ).
tff(c_11668,plain,
! [J_5] :
( ( select(earray_106,J_5) = select(earray_104,J_5) )
| ( index_102 = J_5 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3465,c_4]) ).
tff(c_17710,plain,
! [J_5] :
( ( select(earray_106,J_5) = select(earray_100,J_5) )
| ( index_102 = J_5 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15126,c_11668]) ).
tff(c_53080,plain,
( ( select(earray_100,index_168) = elem_214 )
| ( index_168 = index_102 ) ),
inference(superposition,[status(thm),theory(equality)],[c_53075,c_17710]) ).
tff(c_53090,plain,
index_168 = index_102,
inference(splitLeft,[status(thm)],[c_53080]) ).
tff(c_53115,plain,
s(index_138) = index_102,
inference(demodulation,[status(thm),theory(equality)],[c_53090,c_35850]) ).
tff(c_53490,plain,
! [J_393] :
( ( select(q25,J_393) = select(q24,J_393) )
| ( seq = J_393 )
| ( tail = J_393 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3164,c_16424]) ).
tff(c_53496,plain,
( ( select(q24,head) = index_137 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_53490,c_35762]) ).
tff(c_53516,plain,
( ( index_137 = index_117 )
| ( seq = head )
| ( tail = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2474,c_53496]) ).
tff(c_53517,plain,
index_137 = index_117,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_53516]) ).
tff(c_53546,plain,
s(index_117) = index_138,
inference(demodulation,[status(thm),theory(equality)],[c_53517,c_268]) ).
tff(c_55463,plain,
! [J_404] :
( ( select(q2,J_404) = select(q1,J_404) )
| ( seq = J_404 )
| ( tail = J_404 ) ),
inference(superposition,[status(thm),theory(equality)],[c_17465,c_3251]) ).
tff(c_55469,plain,
( ( select(q1,head) = index_158 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_55463,c_17384]) ).
tff(c_55489,plain,
select(q1,head) = index_158,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_55469]) ).
tff(c_55507,plain,
( ( select(q0,head) = index_158 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_55489,c_17291]) ).
tff(c_55513,plain,
( ( index_158 = index_0 )
| ( seq = head )
| ( tail = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2417,c_55507]) ).
tff(c_55514,plain,
index_158 = index_0,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_55513]) ).
tff(c_55532,plain,
s(index_0) = index_159,
inference(demodulation,[status(thm),theory(equality)],[c_55514,c_286]) ).
tff(c_55539,plain,
index_6 = index_159,
inference(demodulation,[status(thm),theory(equality)],[c_55532,c_14473]) ).
tff(c_55756,plain,
s(index_159) = index_153,
inference(demodulation,[status(thm),theory(equality)],[c_55539,c_8883]) ).
tff(c_54347,plain,
! [J_399] :
( ( select(q5,J_399) = select(q4,J_399) )
| ( tail = J_399 )
| ( seq = J_399 ) ),
inference(superposition,[status(thm),theory(equality)],[c_13204,c_3260]) ).
tff(c_54353,plain,
( ( select(q4,head) = index_188 )
| ( tail = head )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_54347,c_16570]) ).
tff(c_54373,plain,
select(q4,head) = index_188,
inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_54353]) ).
tff(c_54392,plain,
( ( select(q3,head) = index_188 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_54373,c_16688]) ).
tff(c_54398,plain,
( ( index_188 = index_159 )
| ( seq = head )
| ( tail = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2351,c_54392]) ).
tff(c_54399,plain,
index_188 = index_159,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_54398]) ).
tff(c_54418,plain,
s(index_159) = index_189,
inference(demodulation,[status(thm),theory(equality)],[c_54399,c_312]) ).
tff(c_55837,plain,
index_189 = index_153,
inference(demodulation,[status(thm),theory(equality)],[c_55756,c_54418]) ).
tff(c_54673,plain,
! [J_400] :
( ( select(q7,J_400) = select(q6,J_400) )
| ( seq = J_400 )
| ( tail = J_400 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3242,c_16657]) ).
tff(c_54679,plain,
( ( select(q6,head) = index_209 )
| ( seq = head )
| ( tail = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_54673,c_36268]) ).
tff(c_54699,plain,
( ( index_209 = index_189 )
| ( seq = head )
| ( tail = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2462,c_54679]) ).
tff(c_54700,plain,
index_209 = index_189,
inference(negUnitSimplification,[status(thm)],[c_6,c_8,c_54699]) ).
tff(c_54730,plain,
s(index_189) = index_210,
inference(demodulation,[status(thm),theory(equality)],[c_54700,c_330]) ).
tff(c_56055,plain,
s(index_153) = index_210,
inference(demodulation,[status(thm),theory(equality)],[c_55837,c_54730]) ).
tff(c_56061,plain,
index_210 = index_156,
inference(demodulation,[status(thm),theory(equality)],[c_282,c_56055]) ).
tff(c_55071,plain,
! [J_403] :
( ( select(q9,J_403) = select(q10,J_403) )
| ( tail = J_403 )
| ( seq = J_403 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3413,c_15739]) ).
tff(c_55083,plain,
( ( select(q10,head) = index_210 )
| ( tail = head )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_55071,c_2471]) ).
tff(c_55103,plain,
( ( index_26 = index_210 )
| ( tail = head )
| ( seq = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36918,c_55083]) ).
tff(c_55104,plain,
index_26 = index_210,
inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_55103]) ).
tff(c_55129,plain,
s(index_210) = index_27,
inference(demodulation,[status(thm),theory(equality)],[c_55104,c_338]) ).
tff(c_56111,plain,
s(index_156) = index_27,
inference(demodulation,[status(thm),theory(equality)],[c_56061,c_55129]) ).
tff(c_56118,plain,
index_27 = index_174,
inference(demodulation,[status(thm),theory(equality)],[c_13276,c_56111]) ).
tff(c_56146,plain,
s(index_174) = index_48,
inference(demodulation,[status(thm),theory(equality)],[c_56118,c_36994]) ).
tff(c_56152,plain,
index_48 = index_180,
inference(demodulation,[status(thm),theory(equality)],[c_10624,c_56146]) ).
tff(c_56182,plain,
s(index_180) = index_69,
inference(demodulation,[status(thm),theory(equality)],[c_56152,c_36434]) ).
tff(c_56186,plain,
index_69 = index_186,
inference(demodulation,[status(thm),theory(equality)],[c_6181,c_56182]) ).
tff(c_53857,plain,
! [J_394] :
( ( select(q22,J_394) = select(q21,J_394) )
| ( tail = J_394 )
| ( seq = J_394 ) ),
inference(superposition,[status(thm),theory(equality)],[c_15865,c_3290]) ).
tff(c_53863,plain,
( ( select(q21,head) = index_116 )
| ( tail = head )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_53857,c_18369]) ).
tff(c_53883,plain,
( ( index_96 = index_116 )
| ( tail = head )
| ( seq = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2522,c_53863]) ).
tff(c_53884,plain,
index_96 = index_116,
inference(negUnitSimplification,[status(thm)],[c_8,c_6,c_53883]) ).
tff(c_53932,plain,
s(index_69) = index_116,
inference(demodulation,[status(thm),theory(equality)],[c_53884,c_17990]) ).
tff(c_56210,plain,
s(index_186) = index_116,
inference(demodulation,[status(thm),theory(equality)],[c_56186,c_53932]) ).
tff(c_56251,plain,
index_195 = index_116,
inference(demodulation,[status(thm),theory(equality)],[c_56210,c_12381]) ).
tff(c_56476,plain,
s(index_116) = index_201,
inference(demodulation,[status(thm),theory(equality)],[c_56251,c_5460]) ).
tff(c_56482,plain,
index_201 = index_117,
inference(demodulation,[status(thm),theory(equality)],[c_250,c_56476]) ).
tff(c_56514,plain,
s(index_117) = index_207,
inference(demodulation,[status(thm),theory(equality)],[c_56482,c_2983]) ).
tff(c_56519,plain,
index_207 = index_138,
inference(demodulation,[status(thm),theory(equality)],[c_53546,c_56514]) ).
tff(c_56555,plain,
s(index_138) = index_12,
inference(demodulation,[status(thm),theory(equality)],[c_56519,c_15471]) ).
tff(c_56566,plain,
index_12 = index_102,
inference(demodulation,[status(thm),theory(equality)],[c_53115,c_56555]) ).
tff(c_56568,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56191,c_56566]) ).
tff(c_56570,plain,
index_168 != index_102,
inference(splitRight,[status(thm)],[c_53080]) ).
tff(c_60027,plain,
index_12 != index_102,
inference(demodulation,[status(thm),theory(equality)],[c_59786,c_56570]) ).
tff(c_60028,plain,
select(earray_106,index_12) = elem_214,
inference(demodulation,[status(thm),theory(equality)],[c_59786,c_53075]) ).
tff(c_60713,plain,
( ( select(earray_100,index_12) = elem_214 )
| ( index_12 = index_102 ) ),
inference(superposition,[status(thm),theory(equality)],[c_17710,c_60028]) ).
tff(c_60717,plain,
select(earray_100,index_12) = elem_214,
inference(negUnitSimplification,[status(thm)],[c_60027,c_60713]) ).
tff(c_178,plain,
select(q11,seq) = earray_20,
inference(cnfTransformation,[status(thm)],[f_219]) ).
tff(c_12996,plain,
! [J_136] :
( ( select(queue_17,J_136) = select(q11,J_136) )
| ( tail = J_136 ) ),
inference(superposition,[status(thm),theory(equality)],[c_621,c_3145]) ).
tff(c_2510,plain,
select(queue_17,seq) = earray_16,
inference(superposition,[status(thm),theory(equality)],[c_454,c_2225]) ).
tff(c_13002,plain,
( ( select(q11,seq) = earray_16 )
| ( tail = seq ) ),
inference(superposition,[status(thm),theory(equality)],[c_12996,c_2510]) ).
tff(c_13010,plain,
( ( earray_20 = earray_16 )
| ( tail = seq ) ),
inference(demodulation,[status(thm),theory(equality)],[c_178,c_13002]) ).
tff(c_13011,plain,
earray_20 = earray_16,
inference(negUnitSimplification,[status(thm)],[c_10,c_13010]) ).
tff(c_186,plain,
store(earray_20,index_21,e11) = earray_22,
inference(cnfTransformation,[status(thm)],[f_223]) ).
tff(c_5111,plain,
store(earray_20,index_18,e11) = earray_22,
inference(demodulation,[status(thm),theory(equality)],[c_4979,c_186]) ).
tff(c_11816,plain,
! [J_5] :
( ( select(earray_22,J_5) = select(earray_20,J_5) )
| ( index_18 = J_5 ) ),
inference(superposition,[status(thm),theory(equality)],[c_5111,c_4]) ).
tff(c_17570,plain,
! [J_5] :
( ( select(earray_22,J_5) = select(earray_16,J_5) )
| ( index_18 = J_5 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_13011,c_11816]) ).
tff(c_192,plain,
select(q13,seq) = earray_35,
inference(cnfTransformation,[status(thm)],[f_226]) ).
tff(c_2489,plain,
select(queue_32,seq) = earray_31,
inference(superposition,[status(thm),theory(equality)],[c_492,c_2225]) ).
tff(c_15207,plain,
( ( select(q13,seq) = earray_31 )
| ( tail = seq ) ),
inference(superposition,[status(thm),theory(equality)],[c_15198,c_2489]) ).
tff(c_15218,plain,
( ( earray_35 = earray_31 )
| ( tail = seq ) ),
inference(demodulation,[status(thm),theory(equality)],[c_192,c_15207]) ).
tff(c_15219,plain,
earray_35 = earray_31,
inference(negUnitSimplification,[status(thm)],[c_10,c_15218]) ).
tff(c_194,plain,
store(earray_35,index_36,e13) = earray_37,
inference(cnfTransformation,[status(thm)],[f_227]) ).
tff(c_3221,plain,
! [J_73] :
( ( select(earray_37,J_73) = select(earray_35,J_73) )
| ( index_36 = J_73 ) ),
inference(superposition,[status(thm),theory(equality)],[c_194,c_3145]) ).
tff(c_17248,plain,
! [J_73] :
( ( select(earray_37,J_73) = select(earray_31,J_73) )
| ( index_33 = J_73 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11072,c_15219,c_3221]) ).
tff(c_198,plain,
select(q14,seq) = earray_41,
inference(cnfTransformation,[status(thm)],[f_229]) ).
tff(c_2333,plain,
select(queue_38,seq) = earray_37,
inference(superposition,[status(thm),theory(equality)],[c_496,c_2225]) ).
tff(c_13551,plain,
( ( select(q14,seq) = earray_37 )
| ( tail = seq ) ),
inference(superposition,[status(thm),theory(equality)],[c_13542,c_2333]) ).
tff(c_13562,plain,
( ( earray_41 = earray_37 )
| ( tail = seq ) ),
inference(demodulation,[status(thm),theory(equality)],[c_198,c_13551]) ).
tff(c_13563,plain,
earray_41 = earray_37,
inference(negUnitSimplification,[status(thm)],[c_10,c_13562]) ).
tff(c_200,plain,
store(earray_41,index_42,e14) = earray_43,
inference(cnfTransformation,[status(thm)],[f_230]) ).
tff(c_3206,plain,
! [J_73] :
( ( select(earray_43,J_73) = select(earray_41,J_73) )
| ( index_42 = J_73 ) ),
inference(superposition,[status(thm),theory(equality)],[c_200,c_3145]) ).
tff(c_15234,plain,
! [J_73] :
( ( select(earray_43,J_73) = select(earray_37,J_73) )
| ( index_39 = J_73 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4501,c_13563,c_3206]) ).
tff(c_206,plain,
select(q16,seq) = earray_56,
inference(cnfTransformation,[status(thm)],[f_233]) ).
tff(c_2531,plain,
select(queue_53,seq) = earray_52,
inference(superposition,[status(thm),theory(equality)],[c_508,c_2225]) ).
tff(c_16262,plain,
( ( select(q16,seq) = earray_52 )
| ( tail = seq ) ),
inference(superposition,[status(thm),theory(equality)],[c_16253,c_2531]) ).
tff(c_16273,plain,
( ( earray_56 = earray_52 )
| ( tail = seq ) ),
inference(demodulation,[status(thm),theory(equality)],[c_206,c_16262]) ).
tff(c_16274,plain,
earray_56 = earray_52,
inference(negUnitSimplification,[status(thm)],[c_10,c_16273]) ).
tff(c_208,plain,
store(earray_56,index_57,e16) = earray_58,
inference(cnfTransformation,[status(thm)],[f_234]) ).
tff(c_3191,plain,
! [J_73] :
( ( select(earray_58,J_73) = select(earray_56,J_73) )
| ( index_57 = J_73 ) ),
inference(superposition,[status(thm),theory(equality)],[c_208,c_3145]) ).
tff(c_17229,plain,
! [J_73] :
( ( select(earray_58,J_73) = select(earray_52,J_73) )
| ( index_54 = J_73 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6824,c_16274,c_3191]) ).
tff(c_224,plain,
select(q19,seq) = earray_83,
inference(cnfTransformation,[status(thm)],[f_242]) ).
tff(c_15299,plain,
! [J_173] :
( ( select(queue_74,J_173) = select(q19,J_173) )
| ( tail = J_173 ) ),
inference(superposition,[status(thm),theory(equality)],[c_608,c_3145]) ).
tff(c_2372,plain,
select(queue_74,seq) = earray_73,
inference(superposition,[status(thm),theory(equality)],[c_524,c_2225]) ).
tff(c_15305,plain,
( ( select(q19,seq) = earray_73 )
| ( tail = seq ) ),
inference(superposition,[status(thm),theory(equality)],[c_15299,c_2372]) ).
tff(c_15313,plain,
( ( earray_83 = earray_73 )
| ( tail = seq ) ),
inference(demodulation,[status(thm),theory(equality)],[c_224,c_15305]) ).
tff(c_15314,plain,
earray_83 = earray_73,
inference(negUnitSimplification,[status(thm)],[c_10,c_15313]) ).
tff(c_226,plain,
store(earray_83,index_84,e19) = earray_85,
inference(cnfTransformation,[status(thm)],[f_243]) ).
tff(c_3197,plain,
! [J_73] :
( ( select(earray_85,J_73) = select(earray_83,J_73) )
| ( index_84 = J_73 ) ),
inference(superposition,[status(thm),theory(equality)],[c_226,c_3145]) ).
tff(c_15263,plain,
! [J_73] :
( ( select(earray_85,J_73) = select(earray_83,J_73) )
| ( index_75 = J_73 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_10847,c_3197]) ).
tff(c_15318,plain,
! [J_73] :
( ( select(earray_85,J_73) = select(earray_73,J_73) )
| ( index_75 = J_73 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15314,c_15263]) ).
tff(c_232,plain,
select(q21,seq) = earray_98,
inference(cnfTransformation,[status(thm)],[f_246]) ).
tff(c_3446,plain,
! [J_73] :
( ( select(queue_94,J_73) = select(queue_92,J_73) )
| ( tail = J_73 ) ),
inference(superposition,[status(thm),theory(equality)],[c_538,c_3145]) ).
tff(c_18387,plain,
! [J_235] :
( ( select(queue_92,J_235) = select(q21,J_235) )
| ( head = J_235 )
| ( tail = J_235 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3446,c_16874]) ).
tff(c_2465,plain,
select(queue_92,seq) = earray_91,
inference(superposition,[status(thm),theory(equality)],[c_536,c_2225]) ).
tff(c_18399,plain,
( ( select(q21,seq) = earray_91 )
| ( seq = head )
| ( tail = seq ) ),
inference(superposition,[status(thm),theory(equality)],[c_18387,c_2465]) ).
tff(c_18416,plain,
( ( earray_98 = earray_91 )
| ( seq = head )
| ( tail = seq ) ),
inference(demodulation,[status(thm),theory(equality)],[c_232,c_18399]) ).
tff(c_18417,plain,
earray_98 = earray_91,
inference(negUnitSimplification,[status(thm)],[c_10,c_8,c_18416]) ).
tff(c_114,plain,
store(earray_98,index_99,e21) = earray_100,
inference(cnfTransformation,[status(thm)],[f_187]) ).
tff(c_3449,plain,
! [J_73] :
( ( select(earray_98,J_73) = select(earray_100,J_73) )
| ( index_99 = J_73 ) ),
inference(superposition,[status(thm),theory(equality)],[c_114,c_3145]) ).
tff(c_16912,plain,
! [J_73] :
( ( select(earray_98,J_73) = select(earray_100,J_73) )
| ( index_93 = J_73 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16901,c_3449]) ).
tff(c_18448,plain,
! [J_236] :
( ( select(earray_91,J_236) = select(earray_100,J_236) )
| ( index_93 = J_236 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18417,c_16912]) ).
tff(c_228,plain,
select(q20,seq) = earray_89,
inference(cnfTransformation,[status(thm)],[f_244]) ).
tff(c_13703,plain,
! [J_151] :
( ( select(queue_86,J_151) = select(q20,J_151) )
| ( tail = J_151 ) ),
inference(superposition,[status(thm),theory(equality)],[c_606,c_3145]) ).
tff(c_2291,plain,
select(queue_86,seq) = earray_85,
inference(superposition,[status(thm),theory(equality)],[c_532,c_2225]) ).
tff(c_13709,plain,
( ( select(q20,seq) = earray_85 )
| ( tail = seq ) ),
inference(superposition,[status(thm),theory(equality)],[c_13703,c_2291]) ).
tff(c_13717,plain,
( ( earray_89 = earray_85 )
| ( tail = seq ) ),
inference(demodulation,[status(thm),theory(equality)],[c_228,c_13709]) ).
tff(c_13718,plain,
earray_89 = earray_85,
inference(negUnitSimplification,[status(thm)],[c_10,c_13717]) ).
tff(c_230,plain,
store(earray_89,index_90,e20) = earray_91,
inference(cnfTransformation,[status(thm)],[f_245]) ).
tff(c_3302,plain,
! [J_73] :
( ( select(earray_91,J_73) = select(earray_89,J_73) )
| ( index_90 = J_73 ) ),
inference(superposition,[status(thm),theory(equality)],[c_230,c_3145]) ).
tff(c_14377,plain,
! [J_73] :
( ( select(earray_91,J_73) = select(earray_85,J_73) )
| ( index_87 = J_73 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4057,c_13718,c_3302]) ).
tff(c_61041,plain,
! [J_423] :
( ( select(earray_85,J_423) = select(earray_100,J_423) )
| ( index_87 = J_423 )
| ( index_93 = J_423 ) ),
inference(superposition,[status(thm),theory(equality)],[c_18448,c_14377]) ).
tff(c_61605,plain,
! [J_434] :
( ( select(earray_73,J_434) = select(earray_100,J_434) )
| ( index_87 = J_434 )
| ( index_93 = J_434 )
| ( index_75 = J_434 ) ),
inference(superposition,[status(thm),theory(equality)],[c_15318,c_61041]) ).
tff(c_214,plain,
select(q18,seq) = earray_71,
inference(cnfTransformation,[status(thm)],[f_237]) ).
tff(c_3161,plain,
! [J_73] :
( ( select(queue_67,J_73) = select(queue_65,J_73) )
| ( tail = J_73 ) ),
inference(superposition,[status(thm),theory(equality)],[c_518,c_3145]) ).
tff(c_36813,plain,
! [J_336] :
( ( select(queue_65,J_336) = select(q18,J_336) )
| ( tail = J_336 )
| ( head = J_336 ) ),
inference(superposition,[status(thm),theory(equality)],[c_13850,c_3161]) ).
tff(c_2516,plain,
select(queue_65,seq) = earray_64,
inference(superposition,[status(thm),theory(equality)],[c_516,c_2225]) ).
tff(c_36825,plain,
( ( select(q18,seq) = earray_64 )
| ( tail = seq )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_36813,c_2516]) ).
tff(c_36842,plain,
( ( earray_71 = earray_64 )
| ( tail = seq )
| ( seq = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_214,c_36825]) ).
tff(c_36843,plain,
earray_71 = earray_64,
inference(negUnitSimplification,[status(thm)],[c_8,c_10,c_36842]) ).
tff(c_216,plain,
store(earray_71,index_72,e18) = earray_73,
inference(cnfTransformation,[status(thm)],[f_238]) ).
tff(c_3455,plain,
! [J_73] :
( ( select(earray_73,J_73) = select(earray_71,J_73) )
| ( index_72 = J_73 ) ),
inference(superposition,[status(thm),theory(equality)],[c_216,c_3145]) ).
tff(c_15281,plain,
! [J_73] :
( ( select(earray_73,J_73) = select(earray_71,J_73) )
| ( index_66 = J_73 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_13877,c_3455]) ).
tff(c_36850,plain,
! [J_73] :
( ( select(earray_73,J_73) = select(earray_64,J_73) )
| ( index_66 = J_73 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36843,c_15281]) ).
tff(c_61768,plain,
! [J_436] :
( ( select(earray_64,J_436) = select(earray_100,J_436) )
| ( index_66 = J_436 )
| ( index_87 = J_436 )
| ( index_93 = J_436 )
| ( index_75 = J_436 ) ),
inference(superposition,[status(thm),theory(equality)],[c_61605,c_36850]) ).
tff(c_210,plain,
select(q17,seq) = earray_62,
inference(cnfTransformation,[status(thm)],[f_235]) ).
tff(c_12745,plain,
! [J_128] :
( ( select(queue_59,J_128) = select(q17,J_128) )
| ( tail = J_128 ) ),
inference(superposition,[status(thm),theory(equality)],[c_611,c_3145]) ).
tff(c_2300,plain,
select(queue_59,seq) = earray_58,
inference(superposition,[status(thm),theory(equality)],[c_512,c_2225]) ).
tff(c_12751,plain,
( ( select(q17,seq) = earray_58 )
| ( tail = seq ) ),
inference(superposition,[status(thm),theory(equality)],[c_12745,c_2300]) ).
tff(c_12759,plain,
( ( earray_62 = earray_58 )
| ( tail = seq ) ),
inference(demodulation,[status(thm),theory(equality)],[c_210,c_12751]) ).
tff(c_12760,plain,
earray_62 = earray_58,
inference(negUnitSimplification,[status(thm)],[c_10,c_12759]) ).
tff(c_212,plain,
store(earray_62,index_63,e17) = earray_64,
inference(cnfTransformation,[status(thm)],[f_236]) ).
tff(c_3329,plain,
! [J_73] :
( ( select(earray_64,J_73) = select(earray_62,J_73) )
| ( index_63 = J_73 ) ),
inference(superposition,[status(thm),theory(equality)],[c_212,c_3145]) ).
tff(c_16316,plain,
! [J_73] :
( ( select(earray_64,J_73) = select(earray_58,J_73) )
| ( index_60 = J_73 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_10433,c_12760,c_3329]) ).
tff(c_62027,plain,
! [J_439] :
( ( select(earray_58,J_439) = select(earray_100,J_439) )
| ( index_60 = J_439 )
| ( index_66 = J_439 )
| ( index_87 = J_439 )
| ( index_93 = J_439 )
| ( index_75 = J_439 ) ),
inference(superposition,[status(thm),theory(equality)],[c_61768,c_16316]) ).
tff(c_62228,plain,
! [J_441] :
( ( select(earray_52,J_441) = select(earray_100,J_441) )
| ( index_60 = J_441 )
| ( index_66 = J_441 )
| ( index_87 = J_441 )
| ( index_93 = J_441 )
| ( index_75 = J_441 )
| ( index_54 = J_441 ) ),
inference(superposition,[status(thm),theory(equality)],[c_17229,c_62027]) ).
tff(c_202,plain,
select(q15,seq) = earray_50,
inference(cnfTransformation,[status(thm)],[f_231]) ).
tff(c_3188,plain,
! [J_73] :
( ( select(queue_46,J_73) = select(q15,J_73) )
| ( head = J_73 ) ),
inference(superposition,[status(thm),theory(equality)],[c_613,c_3145]) ).
tff(c_57792,plain,
! [J_412] :
( ( select(queue_44,J_412) = select(q15,J_412) )
| ( head = J_412 )
| ( tail = J_412 ) ),
inference(superposition,[status(thm),theory(equality)],[c_12698,c_3188]) ).
tff(c_2255,plain,
select(queue_44,seq) = earray_43,
inference(superposition,[status(thm),theory(equality)],[c_500,c_2225]) ).
tff(c_57804,plain,
( ( select(q15,seq) = earray_43 )
| ( seq = head )
| ( tail = seq ) ),
inference(superposition,[status(thm),theory(equality)],[c_57792,c_2255]) ).
tff(c_57821,plain,
( ( earray_50 = earray_43 )
| ( seq = head )
| ( tail = seq ) ),
inference(demodulation,[status(thm),theory(equality)],[c_202,c_57804]) ).
tff(c_57822,plain,
earray_50 = earray_43,
inference(negUnitSimplification,[status(thm)],[c_10,c_8,c_57821]) ).
tff(c_204,plain,
store(earray_50,index_51,e15) = earray_52,
inference(cnfTransformation,[status(thm)],[f_232]) ).
tff(c_3287,plain,
! [J_73] :
( ( select(earray_52,J_73) = select(earray_50,J_73) )
| ( index_51 = J_73 ) ),
inference(superposition,[status(thm),theory(equality)],[c_204,c_3145]) ).
tff(c_12978,plain,
! [J_73] :
( ( select(earray_52,J_73) = select(earray_50,J_73) )
| ( index_45 = J_73 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11912,c_3287]) ).
tff(c_57829,plain,
! [J_73] :
( ( select(earray_52,J_73) = select(earray_43,J_73) )
| ( index_45 = J_73 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_57822,c_12978]) ).
tff(c_62479,plain,
! [J_444] :
( ( select(earray_43,J_444) = select(earray_100,J_444) )
| ( index_45 = J_444 )
| ( index_60 = J_444 )
| ( index_66 = J_444 )
| ( index_87 = J_444 )
| ( index_93 = J_444 )
| ( index_75 = J_444 )
| ( index_54 = J_444 ) ),
inference(superposition,[status(thm),theory(equality)],[c_62228,c_57829]) ).
tff(c_62680,plain,
! [J_446] :
( ( select(earray_37,J_446) = select(earray_100,J_446) )
| ( index_45 = J_446 )
| ( index_60 = J_446 )
| ( index_66 = J_446 )
| ( index_87 = J_446 )
| ( index_93 = J_446 )
| ( index_75 = J_446 )
| ( index_54 = J_446 )
| ( index_39 = J_446 ) ),
inference(superposition,[status(thm),theory(equality)],[c_15234,c_62479]) ).
tff(c_62936,plain,
! [J_449] :
( ( select(earray_31,J_449) = select(earray_100,J_449) )
| ( index_45 = J_449 )
| ( index_60 = J_449 )
| ( index_66 = J_449 )
| ( index_87 = J_449 )
| ( index_93 = J_449 )
| ( index_75 = J_449 )
| ( index_54 = J_449 )
| ( index_39 = J_449 )
| ( index_33 = J_449 ) ),
inference(superposition,[status(thm),theory(equality)],[c_17248,c_62680]) ).
tff(c_188,plain,
select(q12,seq) = earray_29,
inference(cnfTransformation,[status(thm)],[f_224]) ).
tff(c_3314,plain,
! [J_73] :
( ( select(queue_25,J_73) = select(q12,J_73) )
| ( head = J_73 ) ),
inference(superposition,[status(thm),theory(equality)],[c_616,c_3145]) ).
tff(c_57400,plain,
! [J_409] :
( ( select(queue_23,J_409) = select(q12,J_409) )
| ( tail = J_409 )
| ( head = J_409 ) ),
inference(superposition,[status(thm),theory(equality)],[c_3314,c_17189]) ).
tff(c_2498,plain,
select(queue_23,seq) = earray_22,
inference(superposition,[status(thm),theory(equality)],[c_486,c_2225]) ).
tff(c_57412,plain,
( ( select(q12,seq) = earray_22 )
| ( tail = seq )
| ( seq = head ) ),
inference(superposition,[status(thm),theory(equality)],[c_57400,c_2498]) ).
tff(c_57429,plain,
( ( earray_29 = earray_22 )
| ( tail = seq )
| ( seq = head ) ),
inference(demodulation,[status(thm),theory(equality)],[c_188,c_57412]) ).
tff(c_57430,plain,
earray_29 = earray_22,
inference(negUnitSimplification,[status(thm)],[c_8,c_10,c_57429]) ).
tff(c_190,plain,
store(earray_29,index_30,e12) = earray_31,
inference(cnfTransformation,[status(thm)],[f_225]) ).
tff(c_13841,plain,
store(earray_29,index_24,e12) = earray_31,
inference(demodulation,[status(thm),theory(equality)],[c_13824,c_190]) ).
tff(c_57437,plain,
store(earray_22,index_24,e12) = earray_31,
inference(demodulation,[status(thm),theory(equality)],[c_57430,c_13841]) ).
tff(c_57453,plain,
! [J_5] :
( ( select(earray_31,J_5) = select(earray_22,J_5) )
| ( index_24 = J_5 ) ),
inference(superposition,[status(thm),theory(equality)],[c_57437,c_4]) ).
tff(c_63104,plain,
! [J_450] :
( ( select(earray_22,J_450) = select(earray_100,J_450) )
| ( index_24 = J_450 )
| ( index_45 = J_450 )
| ( index_60 = J_450 )
| ( index_66 = J_450 )
| ( index_87 = J_450 )
| ( index_93 = J_450 )
| ( index_75 = J_450 )
| ( index_54 = J_450 )
| ( index_39 = J_450 )
| ( index_33 = J_450 ) ),
inference(superposition,[status(thm),theory(equality)],[c_62936,c_57453]) ).
tff(c_63270,plain,
! [J_451] :
( ( select(earray_16,J_451) = select(earray_100,J_451) )
| ( index_24 = J_451 )
| ( index_45 = J_451 )
| ( index_60 = J_451 )
| ( index_66 = J_451 )
| ( index_87 = J_451 )
| ( index_93 = J_451 )
| ( index_75 = J_451 )
| ( index_54 = J_451 )
| ( index_39 = J_451 )
| ( index_33 = J_451 )
| ( index_18 = J_451 ) ),
inference(superposition,[status(thm),theory(equality)],[c_17570,c_63104]) ).
tff(c_150,plain,
store(earray_14,index_15,e10) = earray_16,
inference(cnfTransformation,[status(thm)],[f_205]) ).
tff(c_2483,plain,
select(earray_16,index_15) = e10,
inference(superposition,[status(thm),theory(equality)],[c_150,c_2225]) ).
tff(c_11323,plain,
select(earray_16,index_12) = e10,
inference(demodulation,[status(thm),theory(equality)],[c_11318,c_2483]) ).
tff(c_63279,plain,
( ( select(earray_100,index_12) = e10 )
| ( index_24 = index_12 )
| ( index_45 = index_12 )
| ( index_60 = index_12 )
| ( index_66 = index_12 )
| ( index_87 = index_12 )
| ( index_93 = index_12 )
| ( index_75 = index_12 )
| ( index_54 = index_12 )
| ( index_39 = index_12 )
| ( index_33 = index_12 )
| ( index_18 = index_12 ) ),
inference(superposition,[status(thm),theory(equality)],[c_63270,c_11323]) ).
tff(c_63290,plain,
( ( elem_214 = e10 )
| ( index_24 = index_12 )
| ( index_45 = index_12 )
| ( index_60 = index_12 )
| ( index_66 = index_12 )
| ( index_87 = index_12 )
| ( index_93 = index_12 )
| ( index_75 = index_12 )
| ( index_54 = index_12 )
| ( index_39 = index_12 )
| ( index_33 = index_12 )
| ( index_18 = index_12 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60717,c_63279]) ).
tff(c_63292,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_11327,c_14156,c_14167,c_14162,c_17805,c_58247,c_18227,c_17568,c_14159,c_14164,c_11325,c_604,c_63290]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV569-1.030 : TPTP v9.0.0. Released v4.0.0.
% 0.06/0.13 % 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
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Apr 9 22:27:19 EDT 2025
% 0.13/0.34 % CPUTime :
% 86.45/57.35 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 86.86/57.58
% 86.86/57.58 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------