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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWC532_1 : TPTP v9.3.1. Bugfixed v9.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:04:11 PM UTC 2026

% Result   : Theorem 4.76s 1.44s
% Output   : Refutation 5.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   59 (   6 unt;   0 typ;   4 def)
%            Number of atoms       :  174 (  23 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  186 (  71   ~;  88   |;  19   &)
%                                         (   7 <=>;   0  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number arithmetic     :   11 (   0 atm;   0 fun;   0 num;  11 var)
%            Number of types       :   12 (  10 usr;   1 ari;   0 dat;   0 cdt)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   25 (  23 usr;   5 prp; 0-5 aty)
%            Number of functors    :  634 ( 634 usr; 599 con; 0-1 aty)
%            Number of variables   :   11 (   0 sgn   8   !;   3   ?;  11   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    set_0: $tType ).

tff(type_def_6,type,
    set_2: $tType ).

tff(type_def_7,type,
    set_3: $tType ).

tff(type_def_8,type,
    set_4: $tType ).

tff(type_def_9,type,
    set_5: $tType ).

tff(type_def_10,type,
    set_6: $tType ).

tff(type_def_11,type,
    set_7: $tType ).

tff(type_def_12,type,
    set_8: $tType ).

tff(type_def_13,type,
    set_9: $tType ).

tff(type_def_14,type,
    set_10: $tType ).

tff(func_def_0,type,
    min_int: $int ).

tff(func_def_1,type,
    max_int: $int ).

tff(func_def_5,type,
    g_s0_0: set_0 ).

tff(func_def_6,type,
    set_2_empty: set_2 ).

tff(func_def_7,type,
    set_2_insert: set_2 > set_2 ).

tff(func_def_8,type,
    g_s1_1: set_0 ).

tff(func_def_9,type,
    g_s2_2: set_0 ).

tff(func_def_10,type,
    g_s3_3: $int ).

tff(func_def_11,type,
    g_s4_4: $int ).

tff(func_def_12,type,
    g_s5_5: $int ).

tff(func_def_13,type,
    g_s6_6: set_0 ).

tff(func_def_14,type,
    g_s7_7: $int ).

tff(func_def_15,type,
    g_s8_8: $int ).

tff(func_def_16,type,
    g_s9_9: $int ).

tff(func_def_17,type,
    g_s10_10: set_0 ).

tff(func_def_18,type,
    g_s11_11: $int ).

tff(func_def_19,type,
    g_s12_12: $int ).

tff(func_def_20,type,
    g_s13_13: $int ).

tff(func_def_21,type,
    g_s14_14: set_0 ).

tff(func_def_22,type,
    g_s15_15: $int ).

tff(func_def_23,type,
    g_s16_16: $int ).

tff(func_def_24,type,
    g_s17_17: set_0 ).

tff(func_def_25,type,
    g_s18_18: $int ).

tff(func_def_26,type,
    g_s19_19: $int ).

tff(func_def_27,type,
    g_s20_20: set_0 ).

tff(func_def_28,type,
    g_s21_21: $int ).

tff(func_def_29,type,
    g_s22_22: $int ).

tff(func_def_30,type,
    g_s23_23: $int ).

tff(func_def_31,type,
    g_s24_24: set_0 ).

tff(func_def_32,type,
    g_s25_25: $int ).

tff(func_def_33,type,
    g_s26_26: $int ).

tff(func_def_34,type,
    g_s27_27: set_0 ).

tff(func_def_35,type,
    g_s28_28: $int ).

tff(func_def_36,type,
    g_s29_29: $int ).

tff(func_def_37,type,
    g_s30_30: $int ).

tff(func_def_38,type,
    g_s31_31: set_0 ).

tff(func_def_39,type,
    g_s32_32: set_0 ).

tff(func_def_40,type,
    g_s33_33: set_0 ).

tff(func_def_41,type,
    g_s34_34: $int ).

tff(func_def_42,type,
    g_s35_35: $int ).

tff(func_def_43,type,
    g_s36_36: $int ).

tff(func_def_44,type,
    g_s37_37: $int ).

tff(func_def_45,type,
    g_s38_38: $int ).

tff(func_def_46,type,
    g_s39_39: $int ).

tff(func_def_47,type,
    g_s40_40: $int ).

tff(func_def_48,type,
    g_s41_41: $int ).

tff(func_def_49,type,
    g_s42_42: $int ).

tff(func_def_50,type,
    g_s43_43: set_0 ).

tff(func_def_51,type,
    g_s44_44: set_0 ).

tff(func_def_52,type,
    g_s45_45: set_0 ).

tff(func_def_53,type,
    g_s46_46: set_0 ).

tff(func_def_54,type,
    g_s47_47: set_0 ).

tff(func_def_55,type,
    g_s48_48: set_0 ).

tff(func_def_56,type,
    g_s49_49: set_0 ).

tff(func_def_57,type,
    g_s50_50: $int ).

tff(func_def_58,type,
    g_s51_51: $int ).

tff(func_def_59,type,
    g_s52_52: $int ).

tff(func_def_60,type,
    g_s53_53: set_0 ).

tff(func_def_61,type,
    g_s54_54: set_0 ).

tff(func_def_62,type,
    g_s55_55: set_0 ).

tff(func_def_63,type,
    g_s56_56: set_0 ).

tff(func_def_64,type,
    g_s57_57: set_0 ).

tff(func_def_65,type,
    g_s58_58: set_0 ).

tff(func_def_66,type,
    g_s59_59: set_0 ).

tff(func_def_67,type,
    g_s60_60: $int ).

tff(func_def_68,type,
    g_s61_61: $int ).

tff(func_def_69,type,
    g_s62_62: set_0 ).

tff(func_def_70,type,
    g_s63_63: set_0 ).

tff(func_def_71,type,
    g_s64_64: $int ).

tff(func_def_72,type,
    g_s65_65: $int ).

tff(func_def_73,type,
    g_s66_66: set_2 ).

tff(func_def_74,type,
    g_s67_67: $int ).

tff(func_def_75,type,
    g_s68_68: set_0 ).

tff(func_def_76,type,
    g_s69_69: $int ).

tff(func_def_77,type,
    g_s70_70: $int ).

tff(func_def_78,type,
    g_s71_71: set_2 ).

tff(func_def_79,type,
    g_s72_72: $int ).

tff(func_def_80,type,
    g_s73_73: set_0 ).

tff(func_def_81,type,
    g_s74_74: set_0 ).

tff(func_def_82,type,
    g_s75_75: $int ).

tff(func_def_83,type,
    g_s76_76: set_0 ).

tff(func_def_84,type,
    g_s77_77: set_0 ).

tff(func_def_85,type,
    g_s78_78: $int ).

tff(func_def_86,type,
    g_s79_79: set_0 ).

tff(func_def_87,type,
    g_s80_80: set_0 ).

tff(func_def_88,type,
    g_s81_81: $int ).

tff(func_def_89,type,
    g_s82_82: set_0 ).

tff(func_def_90,type,
    g_s83_83: set_0 ).

tff(func_def_91,type,
    g_s84_84: $int ).

tff(func_def_92,type,
    g_s85_85: $int ).

tff(func_def_93,type,
    g_s86_86: $int ).

tff(func_def_94,type,
    g_s87_87: set_0 ).

tff(func_def_95,type,
    g_s88_88: set_0 ).

tff(func_def_96,type,
    g_s89_89: $int ).

tff(func_def_97,type,
    g_s90_90: $int ).

tff(func_def_98,type,
    g_s91_91: $int ).

tff(func_def_99,type,
    g_s92_92: set_2 ).

tff(func_def_100,type,
    g_s93_93: set_2 ).

tff(func_def_101,type,
    g_s94_94: set_0 ).

tff(func_def_102,type,
    g_s95_95: $int ).

tff(func_def_103,type,
    g_s96_96: set_2 ).

tff(func_def_104,type,
    g_s97_97: set_0 ).

tff(func_def_105,type,
    g_s98_98: $int ).

tff(func_def_106,type,
    g_s99_99: set_2 ).

tff(func_def_107,type,
    g_s100_100: set_0 ).

tff(func_def_108,type,
    g_s101_101: set_2 ).

tff(func_def_109,type,
    g_s102_102: set_0 ).

tff(func_def_110,type,
    g_s103_103: set_0 ).

tff(func_def_111,type,
    g_s104_104: $int ).

tff(func_def_112,type,
    g_s105_105: set_2 ).

tff(func_def_113,type,
    g_s106_106: set_0 ).

tff(func_def_114,type,
    g_s107_107: $int ).

tff(func_def_115,type,
    g_s108_108: set_2 ).

tff(func_def_116,type,
    g_s109_109: set_0 ).

tff(func_def_117,type,
    g_s110_110: $int ).

tff(func_def_118,type,
    g_s111_111: set_2 ).

tff(func_def_119,type,
    g_s112_112: set_0 ).

tff(func_def_120,type,
    g_s113_113: set_0 ).

tff(func_def_121,type,
    g_s114_114: $int ).

tff(func_def_122,type,
    g_s115_115: set_2 ).

tff(func_def_123,type,
    g_s116_116: set_0 ).

tff(func_def_124,type,
    g_s117_117: set_0 ).

tff(func_def_125,type,
    g_s118_118: set_2 ).

tff(func_def_126,type,
    g_s119_119: set_0 ).

tff(func_def_127,type,
    g_s120_120: $int ).

tff(func_def_128,type,
    g_s121_121: set_2 ).

tff(func_def_129,type,
    g_s122_122: set_0 ).

tff(func_def_130,type,
    g_s123_123: set_0 ).

tff(func_def_131,type,
    g_s124_124: set_0 ).

tff(func_def_132,type,
    g_s125_125: set_0 ).

tff(func_def_133,type,
    g_s126_126: $int ).

tff(func_def_134,type,
    g_s127_127: set_2 ).

tff(func_def_135,type,
    g_s128_128: set_0 ).

tff(func_def_136,type,
    g_s129_129: set_2 ).

tff(func_def_137,type,
    g_s130_130: set_2 ).

tff(func_def_138,type,
    g_s131_131: set_0 ).

tff(func_def_139,type,
    g_s132_132: $int ).

tff(func_def_140,type,
    g_s133_133: set_2 ).

tff(func_def_141,type,
    g_s134_134: set_0 ).

tff(func_def_142,type,
    g_s135_135: set_2 ).

tff(func_def_143,type,
    g_s136_136: $int ).

tff(func_def_144,type,
    g_s137_137: set_0 ).

tff(func_def_145,type,
    g_s138_138: $int ).

tff(func_def_146,type,
    g_s139_139: set_2 ).

tff(func_def_147,type,
    g_s140_140: set_0 ).

tff(func_def_148,type,
    g_s141_141: set_0 ).

tff(func_def_149,type,
    g_s142_142: set_2 ).

tff(func_def_150,type,
    g_s143_143: set_0 ).

tff(func_def_151,type,
    g_s144_144: $int ).

tff(func_def_152,type,
    g_s145_145: set_2 ).

tff(func_def_153,type,
    g_s146_146: set_0 ).

tff(func_def_154,type,
    g_s147_147: set_0 ).

tff(func_def_155,type,
    g_s148_148: $int ).

tff(func_def_156,type,
    g_s149_149: $int ).

tff(func_def_157,type,
    g_s150_150: $int ).

tff(func_def_158,type,
    g_s151_151: $int ).

tff(func_def_159,type,
    g_s152_152: set_0 ).

tff(func_def_160,type,
    g_s153_153: $int ).

tff(func_def_161,type,
    g_s154_154: set_2 ).

tff(func_def_162,type,
    g_s155_155: set_0 ).

tff(func_def_163,type,
    g_s156_156: $int ).

tff(func_def_164,type,
    g_s157_157: set_2 ).

tff(func_def_165,type,
    g_s158_158: set_2 ).

tff(func_def_166,type,
    g_s159_159: set_2 ).

tff(func_def_167,type,
    g_s160_160: set_2 ).

tff(func_def_168,type,
    g_s161_161: set_0 ).

tff(func_def_169,type,
    g_s162_162: set_2 ).

tff(func_def_170,type,
    set_3_empty: set_3 ).

tff(func_def_171,type,
    set_3_insert: set_3 > set_3 ).

tff(func_def_172,type,
    g_s163_163: set_3 ).

tff(func_def_173,type,
    g_s164_164: set_2 ).

tff(func_def_174,type,
    g_s165_165: set_2 ).

tff(func_def_175,type,
    g_s166_166: set_2 ).

tff(func_def_176,type,
    g_s167_167: set_2 ).

tff(func_def_177,type,
    g_s168_168: set_2 ).

tff(func_def_178,type,
    set_4_empty: set_4 ).

tff(func_def_179,type,
    set_4_insert: set_4 > set_4 ).

tff(func_def_180,type,
    g_s169_169: set_4 ).

tff(func_def_181,type,
    g_s170_170: set_2 ).

tff(func_def_182,type,
    g_s172_171: set_2 ).

tff(func_def_183,type,
    g_s173_172: set_0 ).

tff(func_def_184,type,
    g_s174_173: set_2 ).

tff(func_def_185,type,
    g_s175_174: set_3 ).

tff(func_def_186,type,
    g_s176_175: set_0 ).

tff(func_def_187,type,
    g_s177_176: set_3 ).

tff(func_def_188,type,
    g_s178_177: set_3 ).

tff(func_def_189,type,
    g_s179_178: set_3 ).

tff(func_def_190,type,
    g_s180_179: set_3 ).

tff(func_def_191,type,
    g_s181_180: set_3 ).

tff(func_def_192,type,
    g_s182_181: set_3 ).

tff(func_def_193,type,
    g_s183_182: set_3 ).

tff(func_def_194,type,
    g_s184_183: set_3 ).

tff(func_def_195,type,
    g_s188_184: set_3 ).

tff(func_def_196,type,
    set_5_empty: set_5 ).

tff(func_def_197,type,
    set_5_insert: set_5 > set_5 ).

tff(func_def_198,type,
    g_s189_185: set_5 ).

tff(func_def_199,type,
    g_s190_186: set_2 ).

tff(func_def_200,type,
    g_s192_187: set_3 ).

tff(func_def_201,type,
    g_s193_188: set_0 ).

tff(func_def_202,type,
    g_s194_189: set_5 ).

tff(func_def_203,type,
    g_s195_190: set_2 ).

tff(func_def_204,type,
    g_s196_191: set_0 ).

tff(func_def_205,type,
    g_s197_192: set_3 ).

tff(func_def_206,type,
    g_s198_193: set_2 ).

tff(func_def_207,type,
    set_6_empty: set_6 ).

tff(func_def_208,type,
    set_6_insert: set_6 > set_6 ).

tff(func_def_209,type,
    g_s199_194: set_6 ).

tff(func_def_210,type,
    g_s200_195: set_6 ).

tff(func_def_211,type,
    g_s201_196: set_2 ).

tff(func_def_212,type,
    g_s202_197: set_2 ).

tff(func_def_213,type,
    g_s203_198: set_2 ).

tff(func_def_214,type,
    g_s204_199: set_2 ).

tff(func_def_215,type,
    g_s205_200: set_0 ).

tff(func_def_216,type,
    set_7_empty: set_7 ).

tff(func_def_217,type,
    set_7_insert: set_7 > set_7 ).

tff(func_def_221,type,
    g_s208_201: set_2 ).

tff(func_def_222,type,
    g_s209_202: set_4 ).

tff(func_def_223,type,
    g_s210_203: set_2 ).

tff(func_def_224,type,
    g_s211_204: set_2 ).

tff(func_def_225,type,
    g_s212_205: set_2 ).

tff(func_def_226,type,
    g_s213_206: set_2 ).

tff(func_def_227,type,
    g_s214_207: set_2 ).

tff(func_def_228,type,
    g_s215_208: set_0 ).

tff(func_def_229,type,
    g_s216_209: set_3 ).

tff(func_def_230,type,
    g_s217_210: set_3 ).

tff(func_def_231,type,
    g_s218_211: set_3 ).

tff(func_def_232,type,
    g_s219_212: set_0 ).

tff(func_def_233,type,
    g_s220_213: set_3 ).

tff(func_def_234,type,
    g_s221_214: set_3 ).

tff(func_def_235,type,
    g_s222_215: set_0 ).

tff(func_def_236,type,
    g_s223_216: set_2 ).

tff(func_def_237,type,
    g_s224_217: set_2 ).

tff(func_def_238,type,
    g_s225_218: set_2 ).

tff(func_def_239,type,
    g_s226_219: set_2 ).

tff(func_def_240,type,
    g_s227_220: set_3 ).

tff(func_def_241,type,
    g_s228_221: set_3 ).

tff(func_def_242,type,
    g_s229_222: set_0 ).

tff(func_def_243,type,
    g_s230_223: set_3 ).

tff(func_def_244,type,
    g_s231_224: set_0 ).

tff(func_def_245,type,
    g_s232_225: set_0 ).

tff(func_def_246,type,
    g_s234_226: set_3 ).

tff(func_def_247,type,
    g_s235_227: set_5 ).

tff(func_def_248,type,
    g_s236_228: set_2 ).

tff(func_def_249,type,
    g_s483_229: set_0 ).

tff(func_def_250,type,
    set_8_empty: set_8 ).

tff(func_def_251,type,
    set_8_insert: set_8 > set_8 ).

tff(func_def_252,type,
    g_s484_230: set_8 ).

tff(func_def_253,type,
    set_9_empty: set_9 ).

tff(func_def_254,type,
    set_9_insert: set_9 > set_9 ).

tff(func_def_255,type,
    g_s485_231: set_9 ).

tff(func_def_256,type,
    g_s486_1_232: set_0 ).

tff(func_def_257,type,
    g_s447_1_233: set_0 ).

tff(func_def_258,type,
    g_s487_1_234: set_0 ).

tff(func_def_259,type,
    g_s462_1_235: set_0 ).

tff(func_def_260,type,
    g_s463_1_236: set_0 ).

tff(func_def_261,type,
    g_s464_1_237: set_0 ).

tff(func_def_262,type,
    g_s488_1_238: set_2 ).

tff(func_def_263,type,
    g_s489_239: set_0 ).

tff(func_def_264,type,
    g_s490_1_240: set_2 ).

tff(func_def_265,type,
    g_s491_1_241: set_2 ).

tff(func_def_266,type,
    g_s492_242: $int ).

tff(func_def_267,type,
    g_s493_243: $int ).

tff(func_def_268,type,
    g_s456_1_244: set_2 ).

tff(func_def_269,type,
    g_s494_1_245: set_0 ).

tff(func_def_270,type,
    g_s495_1_246: set_2 ).

tff(func_def_271,type,
    g_s496_1_247: set_6 ).

tff(func_def_272,type,
    g_s497_1_248: set_6 ).

tff(func_def_273,type,
    g_s448_1_249: set_2 ).

tff(func_def_274,type,
    g_s499_1_250: set_0 ).

tff(func_def_275,type,
    g_s500_1_251: set_2 ).

tff(func_def_276,type,
    g_s501_1_252: set_2 ).

tff(func_def_277,type,
    g_s502_1_253: set_2 ).

tff(func_def_278,type,
    g_s503_1_254: set_2 ).

tff(func_def_279,type,
    g_s504_1_255: set_2 ).

tff(func_def_280,type,
    g_s505_1_256: set_2 ).

tff(func_def_281,type,
    g_s449_1_257: set_2 ).

tff(func_def_282,type,
    g_s450_1_258: set_2 ).

tff(func_def_283,type,
    g_s451_1_259: set_2 ).

tff(func_def_284,type,
    g_s454_1_260: set_2 ).

tff(func_def_285,type,
    g_s455_1_261: set_2 ).

tff(func_def_286,type,
    g_s452_1_262: set_2 ).

tff(func_def_287,type,
    g_s453_1_263: set_0 ).

tff(func_def_288,type,
    g_s506_1_264: set_2 ).

tff(func_def_289,type,
    g_s507_1_265: set_2 ).

tff(func_def_290,type,
    g_s459_1_266: set_0 ).

tff(func_def_291,type,
    g_s460_1_267: set_0 ).

tff(func_def_292,type,
    g_s508_1_268: set_0 ).

tff(func_def_293,type,
    g_s509_1_269: set_2 ).

tff(func_def_294,type,
    g_s457_1_270: set_0 ).

tff(func_def_295,type,
    g_s461_1_271: set_0 ).

tff(func_def_296,type,
    g_s458_1_272: set_0 ).

tff(func_def_297,type,
    g_s510_1_273: set_0 ).

tff(func_def_298,type,
    g_s511_1_274: set_2 ).

tff(func_def_299,type,
    g_s512_1_275: set_2 ).

tff(func_def_300,type,
    g_s513_1_276: set_0 ).

tff(func_def_301,type,
    g_s514_1_277: set_0 ).

tff(func_def_302,type,
    g_s515_1_278: set_0 ).

tff(func_def_303,type,
    g_s516_1_279: set_0 ).

tff(func_def_304,type,
    g_s517_1_280: set_0 ).

tff(func_def_305,type,
    g_s518_1_281: set_0 ).

tff(func_def_306,type,
    g_s519_1_282: set_0 ).

tff(func_def_307,type,
    g_s520_1_283: set_0 ).

tff(func_def_308,type,
    g_s521_1_284: set_0 ).

tff(func_def_309,type,
    g_s522_1_285: set_0 ).

tff(func_def_310,type,
    g_s523_1_286: set_0 ).

tff(func_def_311,type,
    g_s237_287: $int ).

tff(func_def_312,type,
    g_s238_288: set_2 ).

tff(func_def_313,type,
    g_s239_289: $int ).

tff(func_def_314,type,
    g_s241_290: set_0 ).

tff(func_def_315,type,
    g_s240_291: $int ).

tff(func_def_316,type,
    g_s243_292: set_0 ).

tff(func_def_317,type,
    g_s242_293: $int ).

tff(func_def_318,type,
    g_s245_294: set_0 ).

tff(func_def_319,type,
    g_s244_295: $int ).

tff(func_def_320,type,
    g_s247_296: set_0 ).

tff(func_def_321,type,
    g_s246_297: $int ).

tff(func_def_322,type,
    g_s248_298: $int ).

tff(func_def_323,type,
    g_s249_299: $int ).

tff(func_def_324,type,
    g_s250_300: set_2 ).

tff(func_def_325,type,
    g_s251_301: set_0 ).

tff(func_def_326,type,
    g_s252_302: set_0 ).

tff(func_def_327,type,
    g_s253_303: set_0 ).

tff(func_def_328,type,
    g_s256_304: set_2 ).

tff(func_def_329,type,
    g_s257_305: set_0 ).

tff(func_def_330,type,
    g_s258_306: set_0 ).

tff(func_def_331,type,
    g_s259_307: set_0 ).

tff(func_def_332,type,
    g_s260_308: set_0 ).

tff(func_def_333,type,
    g_s261_309: set_0 ).

tff(func_def_334,type,
    g_s262_310: set_2 ).

tff(func_def_335,type,
    g_s263_311: set_2 ).

tff(func_def_336,type,
    g_s264_312: set_2 ).

tff(func_def_337,type,
    g_s265_313: set_2 ).

tff(func_def_338,type,
    g_s266_314: set_2 ).

tff(func_def_339,type,
    g_s267_315: set_2 ).

tff(func_def_340,type,
    g_s268_316: set_0 ).

tff(func_def_341,type,
    g_s269_317: set_2 ).

tff(func_def_342,type,
    g_s270_318: set_2 ).

tff(func_def_343,type,
    g_s271_319: set_2 ).

tff(func_def_344,type,
    g_s272_320: set_2 ).

tff(func_def_345,type,
    g_s273_321: set_2 ).

tff(func_def_346,type,
    g_s274_322: set_2 ).

tff(func_def_347,type,
    g_s275_323: set_2 ).

tff(func_def_348,type,
    g_s276_324: set_2 ).

tff(func_def_349,type,
    g_s277_325: set_2 ).

tff(func_def_350,type,
    g_s278_326: set_0 ).

tff(func_def_351,type,
    g_s279_327: set_2 ).

tff(func_def_352,type,
    g_s280_328: set_2 ).

tff(func_def_353,type,
    g_s281_329: set_0 ).

tff(func_def_354,type,
    g_s282_330: set_0 ).

tff(func_def_355,type,
    g_s283_331: set_0 ).

tff(func_def_356,type,
    g_s284_332: set_0 ).

tff(func_def_357,type,
    g_s285_333: set_0 ).

tff(func_def_358,type,
    g_s286_334: set_0 ).

tff(func_def_359,type,
    g_s287_335: set_0 ).

tff(func_def_360,type,
    g_s288_336: set_0 ).

tff(func_def_361,type,
    g_s289_337: set_0 ).

tff(func_def_362,type,
    g_s290_338: set_2 ).

tff(func_def_363,type,
    g_s291_339: set_0 ).

tff(func_def_364,type,
    g_s292_340: set_0 ).

tff(func_def_365,type,
    g_s293_341: set_0 ).

tff(func_def_366,type,
    g_s294_342: set_2 ).

tff(func_def_367,type,
    g_s295_343: set_2 ).

tff(func_def_368,type,
    g_s296_344: set_0 ).

tff(func_def_369,type,
    g_s297_345: set_2 ).

tff(func_def_370,type,
    g_s298_346: set_2 ).

tff(func_def_371,type,
    g_s299_347: set_2 ).

tff(func_def_372,type,
    g_s300_348: set_2 ).

tff(func_def_373,type,
    g_s301_349: set_4 ).

tff(func_def_374,type,
    g_s302_350: set_0 ).

tff(func_def_375,type,
    g_s303_351: set_0 ).

tff(func_def_376,type,
    g_s304_352: set_2 ).

tff(func_def_377,type,
    g_s305_353: set_0 ).

tff(func_def_378,type,
    g_s306_354: set_2 ).

tff(func_def_379,type,
    g_s307_355: set_6 ).

tff(func_def_380,type,
    g_s308_356: set_0 ).

tff(func_def_381,type,
    g_s309_357: set_0 ).

tff(func_def_382,type,
    g_s310_358: set_4 ).

tff(func_def_383,type,
    g_s311_359: set_2 ).

tff(func_def_384,type,
    g_s312_360: set_0 ).

tff(func_def_385,type,
    g_s314_361: set_0 ).

tff(func_def_386,type,
    g_s313_362: $int ).

tff(func_def_387,type,
    g_s315_363: $int ).

tff(func_def_388,type,
    g_s316_364: $int ).

tff(func_def_389,type,
    g_s317_365: $int ).

tff(func_def_390,type,
    g_s319_366: set_0 ).

tff(func_def_391,type,
    g_s318_367: $int ).

tff(func_def_392,type,
    g_s320_368: $int ).

tff(func_def_393,type,
    g_s321_369: $int ).

tff(func_def_394,type,
    g_s323_370: set_0 ).

tff(func_def_395,type,
    g_s322_371: $int ).

tff(func_def_396,type,
    g_s324_372: $int ).

tff(func_def_397,type,
    g_s325_373: $int ).

tff(func_def_398,type,
    g_s327_374: set_0 ).

tff(func_def_399,type,
    g_s326_375: $int ).

tff(func_def_400,type,
    g_s329_376: set_0 ).

tff(func_def_401,type,
    g_s328_377: $int ).

tff(func_def_402,type,
    g_s331_378: set_0 ).

tff(func_def_403,type,
    g_s330_379: $int ).

tff(func_def_404,type,
    g_s333_380: set_0 ).

tff(func_def_405,type,
    g_s332_381: $int ).

tff(func_def_406,type,
    g_s334_382: $int ).

tff(func_def_407,type,
    g_s335_383: $int ).

tff(func_def_408,type,
    g_s336_384: $int ).

tff(func_def_409,type,
    g_s337_385: $int ).

tff(func_def_410,type,
    g_s338_386: $int ).

tff(func_def_411,type,
    g_s339_387: $int ).

tff(func_def_412,type,
    g_s341_388: set_0 ).

tff(func_def_413,type,
    g_s340_389: $int ).

tff(func_def_414,type,
    g_s342_390: $int ).

tff(func_def_415,type,
    g_s343_391: set_0 ).

tff(func_def_416,type,
    g_s344_392: set_0 ).

tff(func_def_417,type,
    g_s345_393: set_0 ).

tff(func_def_418,type,
    g_s346_394: set_2 ).

tff(func_def_419,type,
    g_s347_395: set_0 ).

tff(func_def_420,type,
    g_s348_396: set_2 ).

tff(func_def_421,type,
    g_s349_397: set_2 ).

tff(func_def_422,type,
    g_s350_398: set_0 ).

tff(func_def_423,type,
    g_s351_399: set_2 ).

tff(func_def_424,type,
    g_s352_400: set_0 ).

tff(func_def_425,type,
    g_s353_401: set_2 ).

tff(func_def_426,type,
    g_s354_402: set_2 ).

tff(func_def_427,type,
    g_s355_403: set_0 ).

tff(func_def_428,type,
    g_s356_404: set_0 ).

tff(func_def_429,type,
    g_s357_405: set_2 ).

tff(func_def_430,type,
    g_s358_406: set_0 ).

tff(func_def_431,type,
    g_s359_407: set_0 ).

tff(func_def_432,type,
    g_s360_408: set_0 ).

tff(func_def_433,type,
    g_s361_409: set_2 ).

tff(func_def_434,type,
    g_s362_410: set_2 ).

tff(func_def_435,type,
    g_s363_411: set_2 ).

tff(func_def_436,type,
    g_s364_412: set_2 ).

tff(func_def_437,type,
    g_s365_413: set_0 ).

tff(func_def_438,type,
    g_s366_414: set_0 ).

tff(func_def_439,type,
    g_s367_415: set_0 ).

tff(func_def_440,type,
    g_s368_416: set_0 ).

tff(func_def_441,type,
    g_s369_417: set_0 ).

tff(func_def_442,type,
    g_s370_418: set_0 ).

tff(func_def_443,type,
    g_s371_419: set_0 ).

tff(func_def_444,type,
    g_s372_420: set_0 ).

tff(func_def_445,type,
    g_s373_421: set_0 ).

tff(func_def_446,type,
    g_s374_422: set_0 ).

tff(func_def_447,type,
    g_s375_423: set_0 ).

tff(func_def_448,type,
    g_s376_424: set_0 ).

tff(func_def_449,type,
    g_s377_425: set_0 ).

tff(func_def_450,type,
    g_s378_426: set_0 ).

tff(func_def_451,type,
    g_s379_427: set_0 ).

tff(func_def_452,type,
    g_s380_428: set_0 ).

tff(func_def_453,type,
    g_s381_429: set_0 ).

tff(func_def_454,type,
    g_s382_430: set_0 ).

tff(func_def_455,type,
    g_s383_431: set_0 ).

tff(func_def_456,type,
    g_s384_432: set_0 ).

tff(func_def_457,type,
    g_s385_433: set_0 ).

tff(func_def_458,type,
    g_s386_434: set_0 ).

tff(func_def_459,type,
    g_s387_435: set_0 ).

tff(func_def_460,type,
    g_s388_436: set_0 ).

tff(func_def_461,type,
    g_s389_437: set_2 ).

tff(func_def_462,type,
    g_s390_438: set_2 ).

tff(func_def_463,type,
    g_s391_439: set_2 ).

tff(func_def_464,type,
    g_s392_440: set_0 ).

tff(func_def_465,type,
    g_s393_441: set_0 ).

tff(func_def_466,type,
    g_s394_442: set_2 ).

tff(func_def_467,type,
    g_s395_443: set_0 ).

tff(func_def_468,type,
    g_s396_444: set_0 ).

tff(func_def_469,type,
    g_s397_445: set_0 ).

tff(func_def_470,type,
    g_s398_446: set_0 ).

tff(func_def_471,type,
    g_s399_447: set_0 ).

tff(func_def_472,type,
    g_s400_448: set_0 ).

tff(func_def_473,type,
    g_s401_449: set_0 ).

tff(func_def_474,type,
    g_s402_450: set_0 ).

tff(func_def_475,type,
    g_s403_451: set_0 ).

tff(func_def_476,type,
    g_s404_452: set_0 ).

tff(func_def_477,type,
    g_s405_453: set_0 ).

tff(func_def_478,type,
    g_s406_454: set_0 ).

tff(func_def_479,type,
    g_s407_455: set_0 ).

tff(func_def_480,type,
    g_s409_456: set_0 ).

tff(func_def_481,type,
    g_s408_457: $int ).

tff(func_def_482,type,
    g_s411_458: set_0 ).

tff(func_def_483,type,
    g_s410_459: $int ).

tff(func_def_484,type,
    g_s413_460: set_2 ).

tff(func_def_485,type,
    g_s414_461: set_0 ).

tff(func_def_486,type,
    g_s415_462: set_0 ).

tff(func_def_487,type,
    g_s416_463: set_2 ).

tff(func_def_488,type,
    g_s417_464: set_0 ).

tff(func_def_489,type,
    g_s418_465: set_2 ).

tff(func_def_490,type,
    g_s419_466: set_0 ).

tff(func_def_491,type,
    g_s420_467: set_2 ).

tff(func_def_492,type,
    g_s421_468: set_6 ).

tff(func_def_493,type,
    g_s422_469: set_6 ).

tff(func_def_494,type,
    g_s423_470: set_6 ).

tff(func_def_495,type,
    g_s424_471: set_6 ).

tff(func_def_496,type,
    g_s426_472: $int ).

tff(func_def_497,type,
    g_s427_473: set_2 ).

tff(func_def_498,type,
    g_s428_474: set_0 ).

tff(func_def_499,type,
    g_s429_475: set_0 ).

tff(func_def_500,type,
    g_s430_476: set_0 ).

tff(func_def_501,type,
    g_s431_477: set_2 ).

tff(func_def_502,type,
    g_s432_478: set_0 ).

tff(func_def_503,type,
    g_s433_479: set_2 ).

tff(func_def_504,type,
    g_s435_480: set_0 ).

tff(func_def_505,type,
    g_s436_481: set_2 ).

tff(func_def_506,type,
    g_s437_482: set_0 ).

tff(func_def_507,type,
    g_s438_483: set_2 ).

tff(func_def_508,type,
    g_s439_484: set_2 ).

tff(func_def_509,type,
    g_s440_485: set_2 ).

tff(func_def_510,type,
    g_s441_486: set_2 ).

tff(func_def_511,type,
    g_s442_487: set_2 ).

tff(func_def_512,type,
    g_s443_488: $int ).

tff(func_def_513,type,
    g_s444_489: $int ).

tff(func_def_514,type,
    g_s445_490: $int ).

tff(func_def_515,type,
    g_s446_491: $int ).

tff(func_def_516,type,
    g_s447_493: set_0 ).

tff(func_def_517,type,
    g_s448_512: set_2 ).

tff(func_def_518,type,
    g_s449_513: set_2 ).

tff(func_def_519,type,
    g_s450_514: set_2 ).

tff(func_def_520,type,
    g_s451_515: set_2 ).

tff(func_def_521,type,
    g_s452_516: set_2 ).

tff(func_def_522,type,
    g_s453_517: set_0 ).

tff(func_def_523,type,
    g_s454_518: set_2 ).

tff(func_def_524,type,
    g_s455_519: set_2 ).

tff(func_def_525,type,
    g_s456_520: set_2 ).

tff(func_def_526,type,
    g_s457_521: set_0 ).

tff(func_def_527,type,
    g_s458_498: set_0 ).

tff(func_def_528,type,
    g_s459_522: set_0 ).

tff(func_def_529,type,
    g_s460_523: set_0 ).

tff(func_def_530,type,
    g_s461_524: set_0 ).

tff(func_def_531,type,
    g_s462_495: set_0 ).

tff(func_def_532,type,
    g_s463_496: set_0 ).

tff(func_def_533,type,
    g_s464_497: set_0 ).

tff(func_def_534,type,
    g_s470_1_525: $int ).

tff(func_def_535,type,
    g_s471_1_526: $int ).

tff(func_def_536,type,
    g_s472_1_527: $int ).

tff(func_def_537,type,
    g_s473_1_528: $int ).

tff(func_def_538,type,
    g_s474_1_529: $int ).

tff(func_def_539,type,
    g_s475_1_530: $int ).

tff(func_def_540,type,
    g_s476_1_531: $int ).

tff(func_def_541,type,
    g_s477_1_532: $int ).

tff(func_def_542,type,
    g_s479_1_533: $int ).

tff(func_def_543,type,
    g_s480_1_534: $int ).

tff(func_def_544,type,
    set_10_empty: set_10 ).

tff(func_def_545,type,
    set_10_insert: set_10 > set_10 ).

tff(func_def_546,type,
    g_s482_1_535: set_10 ).

tff(func_def_547,type,
    g_s472_587: $int ).

tff(func_def_548,type,
    g_s477_541: $int ).

tff(func_def_549,type,
    g_s474_539: $int ).

tff(func_def_550,type,
    g_s470_536: $int ).

tff(func_def_551,type,
    g_s473_538: $int ).

tff(func_def_552,type,
    g_s479_588: $int ).

tff(func_def_553,type,
    g_s480_589: $int ).

tff(func_def_554,type,
    g_s518_505: set_0 ).

tff(func_def_555,type,
    g_s519_506: set_0 ).

tff(func_def_556,type,
    g_s448_2_543: set_2 ).

tff(func_def_557,type,
    g_s449_2_544: set_2 ).

tff(func_def_558,type,
    g_s451_2_545: set_2 ).

tff(func_def_559,type,
    g_s450_2_546: set_2 ).

tff(func_def_560,type,
    g_s452_2_547: set_2 ).

tff(func_def_561,type,
    g_s454_2_548: set_2 ).

tff(func_def_562,type,
    g_s455_2_549: set_2 ).

tff(func_def_563,type,
    g_s453_2_550: set_0 ).

tff(func_def_564,type,
    g_s548_590: $int ).

tff(func_def_565,type,
    g_s549_591: $int ).

tff(func_def_566,type,
    g_s550_592: $int ).

tff(func_def_567,type,
    g_s551_593: $int ).

tff(func_def_568,type,
    g_s552_594: $int ).

tff(func_def_569,type,
    g_s553_595: $int ).

tff(func_def_570,type,
    g_s531_554: $int ).

tff(func_def_571,type,
    g_s529_552: $int ).

tff(func_def_572,type,
    g_s530_553: $int ).

tff(func_def_573,type,
    g_s531_1_559: $int ).

tff(func_def_574,type,
    g_s500_596: set_2 ).

tff(func_def_575,type,
    g_s530_1_558: $int ).

tff(func_def_576,type,
    g_s502_598: set_2 ).

tff(func_def_577,type,
    g_s503_599: set_2 ).

tff(func_def_578,type,
    g_s504_600: set_2 ).

tff(func_def_579,type,
    g_s530_2_563: $int ).

tff(func_def_580,type,
    g_s505_2_602: set_2 ).

tff(func_def_581,type,
    g_s448_3_603: set_2 ).

tff(func_def_585,type,
    bG0: $o > $o ).

tff(func_def_586,type,
    bG1: $o > $o ).

tff(func_def_587,type,
    bG2: $o > $o ).

tff(func_def_588,type,
    bG3: $o > $o ).

tff(func_def_589,type,
    bG4: $o > $o ).

tff(func_def_590,type,
    bG5: $o > $o ).

tff(func_def_591,type,
    bG6: $o > $o ).

tff(func_def_592,type,
    bG7: $o > $o ).

tff(func_def_593,type,
    sK9: set_2 ).

tff(func_def_594,type,
    sK10: $int ).

tff(func_def_595,type,
    sK11: set_2 ).

tff(func_def_596,type,
    sK12: $int > $int ).

tff(func_def_597,type,
    sK13: $int > $int ).

tff(func_def_598,type,
    sK14: $int ).

tff(func_def_599,type,
    sK15: $int ).

tff(func_def_600,type,
    sK16: $int ).

tff(func_def_601,type,
    sK17: set_2 ).

tff(func_def_602,type,
    sK18: $int ).

tff(func_def_603,type,
    sK19: set_2 ).

tff(func_def_604,type,
    sK20: $int > $int ).

tff(func_def_605,type,
    sK21: $int > $int ).

tff(func_def_606,type,
    sK22: $int > $int ).

tff(func_def_607,type,
    sK23: $int ).

tff(func_def_608,type,
    sK24: $int > $int ).

tff(func_def_609,type,
    sK25: $int ).

tff(func_def_610,type,
    sK26: $int ).

tff(func_def_611,type,
    sK27: $int > $int ).

tff(func_def_612,type,
    sK28: $int > $int ).

tff(func_def_613,type,
    sK29: $int > $int ).

tff(func_def_614,type,
    sK30: set_2 ).

tff(func_def_615,type,
    sK31: $int > $int ).

tff(func_def_616,type,
    sK32: $int ).

tff(func_def_617,type,
    sK33: set_2 ).

tff(func_def_618,type,
    sK34: $int ).

tff(func_def_619,type,
    sK35: $int > $int ).

tff(func_def_620,type,
    sK36: set_2 ).

tff(func_def_621,type,
    sK37: $int > $int ).

tff(func_def_622,type,
    sK38: $int > $int ).

tff(func_def_623,type,
    sK39: $int > $int ).

tff(func_def_624,type,
    sK40: $int ).

tff(func_def_625,type,
    sK41: set_2 ).

tff(func_def_626,type,
    sK42: set_2 ).

tff(func_def_627,type,
    sK43: $int > $int ).

tff(func_def_628,type,
    sK44: $int > $int ).

tff(func_def_629,type,
    sK45: $int ).

tff(func_def_630,type,
    sK46: $int ).

tff(func_def_631,type,
    sK47: $int > $int ).

tff(func_def_632,type,
    sK48: $int ).

tff(func_def_633,type,
    sK49: $int ).

tff(func_def_634,type,
    sK50: $int > $int ).

tff(func_def_635,type,
    sK51: set_2 ).

tff(func_def_636,type,
    sK52: $int > $int ).

tff(func_def_637,type,
    sK53: $int ).

tff(func_def_638,type,
    sK54: set_2 ).

tff(func_def_639,type,
    sK55: $int > $int ).

tff(func_def_640,type,
    sK56: $int ).

tff(func_def_641,type,
    sK57: $int ).

tff(func_def_642,type,
    sK58: set_2 ).

tff(func_def_643,type,
    sK59: set_2 ).

tff(func_def_644,type,
    sK60: $int > $int ).

tff(func_def_645,type,
    sK61: $int > $int ).

tff(func_def_646,type,
    sK62: $int > $int ).

tff(func_def_647,type,
    sK63: $int > $int ).

tff(func_def_648,type,
    sK64: $int > $int ).

tff(func_def_649,type,
    sK65: set_2 ).

tff(func_def_650,type,
    sK66: $int > $int ).

tff(pred_def_1,type,
    mem0: ( $int * set_0 ) > $o ).

tff(pred_def_2,type,
    mem2: ( $int * $int * set_2 ) > $o ).

tff(pred_def_3,type,
    mem3: ( $int * $int * $int * set_3 ) > $o ).

tff(pred_def_4,type,
    mem4: ( $int * set_0 * set_4 ) > $o ).

tff(pred_def_5,type,
    mem5: ( $int * $int * set_0 * set_5 ) > $o ).

tff(pred_def_6,type,
    mem6: ( $int * set_2 * set_6 ) > $o ).

tff(pred_def_7,type,
    mem7: ( $int * $int * $int * set_7 ) > $o ).

tff(pred_def_8,type,
    mem_it0: ( $int * $int * set_2 * $int ) > $o ).

tff(pred_def_10,type,
    mem8: ( $int * $int * $int * $int * set_8 ) > $o ).

tff(pred_def_11,type,
    mem9: ( $int * $o * $int * $o * set_9 ) > $o ).

tff(pred_def_12,type,
    mem10: ( $int * $o * set_10 ) > $o ).

tff(f656,axiom,
    ! [X0: $int] :
      ( mem0(X0,g_s106_106)
    <=> ( mem0(X0,g_s518_505)
        | mem0(X0,g_s519_506) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Local_Hyp:12') ).

tff(f668,axiom,
    mem0(g_s548_590,g_s106_106),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Local_Hyp:24') ).

tff(f709,conjecture,
    ! [X0: $int] :
      ( ( mem0(X0,g_s519_506)
        | ( X0 = g_s548_590 )
        | ( ( X0 != g_s548_590 )
          & mem0(X0,g_s518_505) ) )
    <=> mem0(X0,g_s106_106) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Goal') ).

tff(f710,negated_conjecture,
    ~ ! [X0: $int] :
        ( ( mem0(X0,g_s519_506)
          | ( X0 = g_s548_590 )
          | ( ( X0 != g_s548_590 )
            & mem0(X0,g_s518_505) ) )
      <=> mem0(X0,g_s106_106) ),
    inference(negated_conjecture,[status(cth)],[f709]) ).

tff(f901,plain,
    ? [X0: $int] :
      ( mem0(X0,g_s106_106)
    <~> ( mem0(X0,g_s519_506)
        | ( X0 = g_s548_590 )
        | ( ( X0 != g_s548_590 )
          & mem0(X0,g_s518_505) ) ) ),
    inference(ennf_transformation,[],[f710]) ).

tff(f972,plain,
    ? [X0: $int] :
      ( ( ( ~ mem0(X0,g_s519_506)
          & ( g_s548_590 != X0 )
          & ( ( g_s548_590 = X0 )
            | ~ mem0(X0,g_s518_505) ) )
        | ~ mem0(X0,g_s106_106) )
      & ( mem0(X0,g_s519_506)
        | ( X0 = g_s548_590 )
        | ( ( X0 != g_s548_590 )
          & mem0(X0,g_s518_505) )
        | mem0(X0,g_s106_106) ) ),
    inference(nnf_transformation,[],[f901]) ).

tff(f973,plain,
    ? [X0: $int] :
      ( ( ( ~ mem0(X0,g_s519_506)
          & ( g_s548_590 != X0 )
          & ( ( g_s548_590 = X0 )
            | ~ mem0(X0,g_s518_505) ) )
        | ~ mem0(X0,g_s106_106) )
      & ( mem0(X0,g_s519_506)
        | ( X0 = g_s548_590 )
        | ( ( X0 != g_s548_590 )
          & mem0(X0,g_s518_505) )
        | mem0(X0,g_s106_106) ) ),
    inference(flattening,[],[f972]) ).

tff(f974,plain,
    ( ( ( ~ mem0(sK49,g_s519_506)
        & ( g_s548_590 != sK49 )
        & ( ( g_s548_590 = sK49 )
          | ~ mem0(sK49,g_s518_505) ) )
      | ~ mem0(sK49,g_s106_106) )
    & ( mem0(sK49,g_s519_506)
      | ( g_s548_590 = sK49 )
      | ( ( g_s548_590 != sK49 )
        & mem0(sK49,g_s518_505) )
      | mem0(sK49,g_s106_106) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK49]),skolemize(X0,sK49)],[f973]) ).

tff(f982,plain,
    ! [X0: $int] :
      ( ( mem0(X0,g_s106_106)
        | ( ~ mem0(X0,g_s518_505)
          & ~ mem0(X0,g_s519_506) ) )
      & ( mem0(X0,g_s518_505)
        | mem0(X0,g_s519_506)
        | ~ mem0(X0,g_s106_106) ) ),
    inference(nnf_transformation,[],[f656]) ).

tff(f983,plain,
    ! [X0: $int] :
      ( ( mem0(X0,g_s106_106)
        | ( ~ mem0(X0,g_s518_505)
          & ~ mem0(X0,g_s519_506) ) )
      & ( mem0(X0,g_s518_505)
        | mem0(X0,g_s519_506)
        | ~ mem0(X0,g_s106_106) ) ),
    inference(flattening,[],[f982]) ).

tff(f1119,plain,
    ( mem0(sK49,g_s106_106)
    | mem0(sK49,g_s518_505)
    | ( g_s548_590 = sK49 )
    | mem0(sK49,g_s519_506) ),
    inference(cnf_transformation,[],[f974]) ).

tff(f1121,plain,
    ( ~ mem0(sK49,g_s106_106)
    | ( g_s548_590 = sK49 )
    | ~ mem0(sK49,g_s518_505) ),
    inference(cnf_transformation,[],[f974]) ).

tff(f1122,plain,
    ( ( g_s548_590 != sK49 )
    | ~ mem0(sK49,g_s106_106) ),
    inference(cnf_transformation,[],[f974]) ).

tff(f1123,plain,
    ( ~ mem0(sK49,g_s106_106)
    | ~ mem0(sK49,g_s519_506) ),
    inference(cnf_transformation,[],[f974]) ).

tff(f1141,plain,
    ! [X0: $int] :
      ( ~ mem0(X0,g_s106_106)
      | mem0(X0,g_s518_505)
      | mem0(X0,g_s519_506) ),
    inference(cnf_transformation,[],[f983]) ).

tff(f1142,plain,
    ! [X0: $int] :
      ( ~ mem0(X0,g_s519_506)
      | mem0(X0,g_s106_106) ),
    inference(cnf_transformation,[],[f983]) ).

tff(f1143,plain,
    ! [X0: $int] :
      ( ~ mem0(X0,g_s518_505)
      | mem0(X0,g_s106_106) ),
    inference(cnf_transformation,[],[f983]) ).

tff(f1178,plain,
    mem0(g_s548_590,g_s106_106),
    inference(cnf_transformation,[],[f668]) ).

tff(f1215,definition,
    ( spl67_1
  <=> ( g_s548_590 = sK49 ) ),
    introduced(definition,[new_symbols(definition,[spl67_1])],[avatar_definition]) ).

tff(f1217,plain,
    ( ( g_s548_590 = sK49 )
    | ~ spl67_1 ),
    inference(avatar_component_clause,[],[f1215]) ).

tff(f1219,definition,
    ( spl67_2
  <=> mem0(sK49,g_s106_106) ),
    introduced(definition,[new_symbols(definition,[spl67_2])],[avatar_definition]) ).

tff(f1220,plain,
    ( ~ mem0(sK49,g_s106_106)
    | spl67_2 ),
    inference(avatar_component_clause,[],[f1219]) ).

tff(f1221,plain,
    ( mem0(sK49,g_s106_106)
    | ~ spl67_2 ),
    inference(avatar_component_clause,[],[f1219]) ).

tff(f1223,definition,
    ( spl67_3
  <=> mem0(sK49,g_s519_506) ),
    introduced(definition,[new_symbols(definition,[spl67_3])],[avatar_definition]) ).

tff(f1224,plain,
    ( ~ mem0(sK49,g_s519_506)
    | spl67_3 ),
    inference(avatar_component_clause,[],[f1223]) ).

tff(f1225,plain,
    ( mem0(sK49,g_s519_506)
    | ~ spl67_3 ),
    inference(avatar_component_clause,[],[f1223]) ).

tff(f1227,definition,
    ( spl67_4
  <=> mem0(sK49,g_s518_505) ),
    introduced(definition,[new_symbols(definition,[spl67_4])],[avatar_definition]) ).

tff(f1228,plain,
    ( ~ mem0(sK49,g_s518_505)
    | spl67_4 ),
    inference(avatar_component_clause,[],[f1227]) ).

tff(f1229,plain,
    ( mem0(sK49,g_s518_505)
    | ~ spl67_4 ),
    inference(avatar_component_clause,[],[f1227]) ).

tff(f1230,plain,
    ( spl67_1
    | spl67_2
    | spl67_3
    | spl67_4 ),
    inference(avatar_split_clause,[],[f1119,f1227,f1223,f1219,f1215]) ).

tff(f1239,plain,
    ( spl67_1
    | ~ spl67_2
    | ~ spl67_4 ),
    inference(avatar_split_clause,[],[f1121,f1227,f1219,f1215]) ).

tff(f1270,plain,
    ( ~ spl67_3
    | ~ spl67_2 ),
    inference(avatar_split_clause,[],[f1123,f1219,f1223]) ).

tff(f1276,plain,
    ( ~ spl67_2
    | ~ spl67_1 ),
    inference(avatar_split_clause,[],[f1122,f1215,f1219]) ).

tff(f1354,plain,
    ( mem0(sK49,g_s518_505)
    | mem0(sK49,g_s519_506)
    | ~ spl67_2 ),
    inference(resolution,[],[f1141,f1221]) ).

tff(f1355,plain,
    ( mem0(sK49,g_s519_506)
    | ~ spl67_2
    | spl67_4 ),
    inference(forward_subsumption_resolution,[],[f1354,f1228]) ).

tff(f1356,plain,
    ( $false
    | ~ spl67_2
    | spl67_3
    | spl67_4 ),
    inference(forward_subsumption_resolution,[],[f1355,f1224]) ).

tff(f1357,plain,
    ( ~ spl67_2
    | spl67_3
    | spl67_4 ),
    inference(avatar_contradiction_clause,[],[f1356]) ).

tff(f1363,plain,
    ( ~ mem0(g_s548_590,g_s106_106)
    | ~ spl67_1
    | spl67_2 ),
    inference(forward_demodulation,[],[f1220,f1217]) ).

tff(f1364,plain,
    ( $false
    | ~ spl67_1
    | spl67_2 ),
    inference(forward_subsumption_resolution,[],[f1363,f1178]) ).

tff(f1365,plain,
    ( ~ spl67_1
    | spl67_2 ),
    inference(avatar_contradiction_clause,[],[f1364]) ).

tff(f1366,plain,
    ( mem0(sK49,g_s106_106)
    | ~ spl67_4 ),
    inference(resolution,[],[f1229,f1143]) ).

tff(f1367,plain,
    ( $false
    | spl67_2
    | ~ spl67_4 ),
    inference(forward_subsumption_resolution,[],[f1366,f1220]) ).

tff(f1368,plain,
    ( spl67_2
    | ~ spl67_4 ),
    inference(avatar_contradiction_clause,[],[f1367]) ).

tff(f1369,plain,
    ( mem0(sK49,g_s106_106)
    | ~ spl67_3 ),
    inference(resolution,[],[f1225,f1142]) ).

tff(f1371,plain,
    ( $false
    | spl67_2
    | ~ spl67_3 ),
    inference(forward_subsumption_resolution,[],[f1369,f1220]) ).

tff(f1372,plain,
    ( spl67_2
    | ~ spl67_3 ),
    inference(avatar_contradiction_clause,[],[f1371]) ).

cnf(s1,plain,
    ( spl67_1
    | spl67_2
    | spl67_3
    | spl67_4 ),
    inference(sat_conversion,[],[f1230]) ).

cnf(s3,plain,
    ( spl67_1
    | ~ spl67_2
    | ~ spl67_4 ),
    inference(sat_conversion,[],[f1239]) ).

cnf(s9,plain,
    ( ~ spl67_2
    | ~ spl67_3 ),
    inference(sat_conversion,[],[f1270]) ).

cnf(s11,plain,
    ( ~ spl67_1
    | ~ spl67_2 ),
    inference(sat_conversion,[],[f1276]) ).

cnf(s15,plain,
    ( ~ spl67_2
    | spl67_3
    | spl67_4 ),
    inference(sat_conversion,[],[f1357]) ).

cnf(s17,plain,
    ( ~ spl67_1
    | spl67_2 ),
    inference(sat_conversion,[],[f1365]) ).

cnf(s18,plain,
    ( spl67_2
    | ~ spl67_4 ),
    inference(sat_conversion,[],[f1368]) ).

cnf(s19,plain,
    ( spl67_2
    | ~ spl67_3 ),
    inference(sat_conversion,[],[f1372]) ).

cnf(s22,plain,
    ( spl67_2
    | spl67_1 ),
    inference(rat,[],[s1,s18,s19]) ).

cnf(s23,plain,
    spl67_1,
    inference(rat,[],[s15,s3,s9,s22]) ).

cnf(s24,plain,
    spl67_2,
    inference(rat,[],[s17,s23]) ).

cnf(s26,plain,
    $false,
    inference(rat,[],[s11,s24,s23]) ).

tff(f1374,plain,
    $false,
    inference(avatar_sat_refutation,[],[s26]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWC532_1 : TPTP v9.3.1. Bugfixed v9.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.17  % Computer : n016.cluster.edu
% 0.08/0.17  % Model    : x86_64 x86_64
% 0.08/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17  % Memory   : 8046.5625MB
% 0.08/0.17  % OS       : Linux 6.8.0-71-generic
% 0.08/0.17  % CPULimit : 300
% 0.08/0.17  % WCLimit  : 300
% 0.08/0.17  % DateTime : Mon Sep 28 09:46:48 UTC 2026
% 0.08/0.18  % CPUTime  : 
% 0.08/0.18  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21  Running first-order theorem proving
% 0.08/0.21  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.42/1.21  % (3518038)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.42/1.21  % (3518090)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=852047924:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.42/1.21  % (3518093)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1895169128:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.42/1.21  % (3518089)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2809723358:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.42/1.21  % (3518094)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=4084568336:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.42/1.21  % (3518088)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=492247027:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.42/1.21  % (3518092)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=608033420:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.42/1.21  % (3518091)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=2048523294:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.42/1.21  % (3518092)Instruction limit reached! 
% 3.42/1.21  % (3518092)------------------------------
% 3.42/1.21  % (3518092)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/1.21  % (3518092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/1.21  % (3518092)CaDiCaL version: 2.1.3
% 3.42/1.21  % (3518092)Termination reason: Instruction limit
% 3.42/1.21  % (3518092)Termination phase: Property scanning
% 3.42/1.21  % (3518092)Time elapsed: 0.004 s
% 3.42/1.21  % (3518092)Peak memory usage: 86 MB
% 3.42/1.21  % (3518092)Instructions burned: 5 (million)
% 3.42/1.21  % (3518091)Instruction limit reached! 
% 3.42/1.21  % (3518091)------------------------------
% 3.42/1.21  % (3518091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/1.21  % (3518091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/1.21  % (3518091)CaDiCaL version: 2.1.3
% 3.42/1.21  % (3518091)Termination reason: Instruction limit
% 3.42/1.21  % (3518091)Termination phase: Property scanning
% 3.42/1.21  % (3518091)Time elapsed: 0.005 s
% 3.42/1.21  % (3518091)Peak memory usage: 86 MB
% 3.42/1.21  % (3518091)Instructions burned: 8 (million)
% 3.42/1.21  % (3518088)Instruction limit reached! 
% 3.42/1.21  % (3518088)------------------------------
% 3.42/1.21  % (3518088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/1.21  % (3518088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/1.21  % (3518088)CaDiCaL version: 2.1.3
% 3.42/1.21  % (3518088)Termination reason: Instruction limit
% 3.42/1.21  % (3518088)Termination phase: Property scanning
% 3.42/1.21  % (3518088)Time elapsed: 0.007 s
% 3.42/1.21  % (3518088)Peak memory usage: 85 MB
% 3.42/1.21  % (3518088)Instructions burned: 12 (million)
% 3.42/1.21  % (3518094)Instruction limit reached! 
% 3.42/1.21  % (3518094)------------------------------
% 3.42/1.21  % (3518094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/1.21  % (3518094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/1.21  % (3518094)CaDiCaL version: 2.1.3
% 3.42/1.21  % (3518094)Termination reason: Instruction limit
% 3.42/1.21  % (3518094)Termination phase: Preprocessing 3
% 3.42/1.21  % (3518094)Time elapsed: 0.021 s
% 3.42/1.21  % (3518094)Peak memory usage: 88 MB
% 3.42/1.21  % (3518094)Instructions burned: 34 (million)
% 3.42/1.21  % (3518093)Instruction limit reached! 
% 3.42/1.21  % (3518093)------------------------------
% 3.42/1.21  % (3518093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/1.21  % (3518093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/1.21  % (3518093)CaDiCaL version: 2.1.3
% 3.42/1.21  % (3518093)Termination reason: Instruction limit
% 3.42/1.21  % (3518093)Termination phase: Preprocessing 3
% 3.42/1.21  % (3518093)Time elapsed: 0.030 s
% 3.42/1.21  % (3518093)Peak memory usage: 89 MB
% 3.42/1.21  % (3518093)Instructions burned: 47 (million)
% 3.42/1.21  % (3518090)Instruction limit reached! 
% 3.42/1.21  % (3518090)------------------------------
% 3.42/1.21  % (3518090)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/1.21  % (3518090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.38  % (3518090)CaDiCaL version: 2.1.3
% 3.94/1.38  % (3518090)Termination reason: Instruction limit
% 3.94/1.38  % (3518090)Termination phase: Saturation
% 3.94/1.38  % (3518090)Time elapsed: 0.082 s
% 3.94/1.38  % (3518090)Peak memory usage: 121 MB
% 3.94/1.38  % (3518090)Instructions burned: 201 (million)
% 3.94/1.38  % (3518107)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=1488332493:i=85:gtgl=4:rtra=on:gtg=exists_sym_2997 on theBenchmark for (2997ds/85Mi)
% 3.94/1.38  % (3518105)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=551450058:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 3.94/1.38  % (3518103)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=3736476193:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2997 on theBenchmark for (2997ds/29Mi)
% 3.94/1.38  % (3518104)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=1928957690:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 3.94/1.38  % (3518102)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=3607562180:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 3.94/1.38  % (3518102)Instruction limit reached! 
% 3.94/1.38  % (3518102)------------------------------
% 3.94/1.38  % (3518102)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.38  % (3518102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.38  % (3518102)CaDiCaL version: 2.1.3
% 3.94/1.38  % (3518102)Termination reason: Instruction limit
% 3.94/1.38  % (3518102)Termination phase: Property scanning
% 3.94/1.38  % (3518102)Time elapsed: 0.008 s
% 3.94/1.38  % (3518102)Peak memory usage: 87 MB
% 3.94/1.38  % (3518102)Instructions burned: 14 (million)
% 3.94/1.38  % (3518104)Instruction limit reached! 
% 3.94/1.38  % (3518104)------------------------------
% 3.94/1.38  % (3518104)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.38  % (3518104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.38  % (3518104)CaDiCaL version: 2.1.3
% 3.94/1.38  % (3518104)Termination reason: Instruction limit
% 3.94/1.38  % (3518104)Termination phase: Property scanning
% 3.94/1.38  % (3518104)Time elapsed: 0.010 s
% 3.94/1.38  % (3518104)Peak memory usage: 87 MB
% 3.94/1.38  % (3518104)Instructions burned: 16 (million)
% 3.94/1.38  % (3518105)Instruction limit reached! 
% 3.94/1.38  % (3518105)------------------------------
% 3.94/1.38  % (3518105)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.38  % (3518105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.38  % (3518105)CaDiCaL version: 2.1.3
% 3.94/1.38  % (3518105)Termination reason: Instruction limit
% 3.94/1.38  % (3518105)Termination phase: Preprocessing 1
% 3.94/1.38  % (3518105)Time elapsed: 0.014 s
% 3.94/1.38  % (3518105)Peak memory usage: 87 MB
% 3.94/1.38  % (3518105)Instructions burned: 25 (million)
% 3.94/1.38  % (3518103)Instruction limit reached! 
% 3.94/1.38  % (3518103)------------------------------
% 3.94/1.38  % (3518103)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.38  % (3518103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.38  % (3518103)CaDiCaL version: 2.1.3
% 3.94/1.38  % (3518103)Termination reason: Instruction limit
% 3.94/1.38  % (3518103)Termination phase: Preprocessing 3
% 3.94/1.38  % (3518103)Time elapsed: 0.019 s
% 3.94/1.38  % (3518103)Peak memory usage: 88 MB
% 3.94/1.38  % (3518103)Instructions burned: 31 (million)
% 3.94/1.38  % (3518107)Instruction limit reached! 
% 3.94/1.38  % (3518107)------------------------------
% 3.94/1.38  % (3518107)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.38  % (3518107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.38  % (3518107)CaDiCaL version: 2.1.3
% 3.94/1.38  % (3518107)Termination reason: Instruction limit
% 3.94/1.38  % (3518107)Termination phase: Property scanning
% 3.94/1.38  % (3518107)Time elapsed: 0.029 s
% 3.94/1.38  % (3518107)Peak memory usage: 91 MB
% 3.94/1.38  % (3518107)Instructions burned: 94 (million)
% 3.94/1.38  % (3518106)ott+1010_8_to=lpo:sil=128000:si=on:norm_ineq=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=2548116912:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 3.94/1.38  % (3518089)Instruction limit reached! 
% 3.94/1.38  % (3518089)------------------------------
% 4.76/1.44  % (3518089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.76/1.44  % (3518089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.76/1.44  % (3518089)CaDiCaL version: 2.1.3
% 4.76/1.44  % (3518089)Termination reason: Instruction limit
% 4.76/1.44  % (3518089)Termination phase: Saturation
% 4.76/1.44  % (3518089)Time elapsed: 0.188 s
% 4.76/1.44  % (3518089)Peak memory usage: 121 MB
% 4.76/1.44  % (3518089)Instructions burned: 309 (million)
% 4.76/1.44  % (3518106)Instruction limit reached! 
% 4.76/1.44  % (3518106)------------------------------
% 4.76/1.44  % (3518106)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.76/1.44  % (3518106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.76/1.44  % (3518106)CaDiCaL version: 2.1.3
% 4.76/1.44  % (3518106)Termination reason: Instruction limit
% 4.76/1.44  % (3518106)Termination phase: Preprocessing 2
% 4.76/1.44  % (3518106)Time elapsed: 0.019 s
% 4.76/1.44  % (3518106)Peak memory usage: 88 MB
% 4.76/1.44  % (3518106)Instructions burned: 27 (million)
% 4.76/1.44  % (3518117)lrs+10_1_thi=all:si=on:fd=off:random_seed=3551319092:i=53:rtra=on:gtg=all_2996 on theBenchmark for (2996ds/53Mi)
% 4.76/1.44  % (3518114)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=3661305860:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 4.76/1.44  % (3518115)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=1640339839:i=4:ep=RST:ins=2:rtra=on_2996 on theBenchmark for (2996ds/4Mi)
% 4.76/1.44  % (3518115)Instruction limit reached! 
% 4.76/1.44  % (3518115)------------------------------
% 4.76/1.44  % (3518115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.76/1.44  % (3518115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.76/1.44  % (3518115)CaDiCaL version: 2.1.3
% 4.76/1.44  % (3518115)Termination reason: Instruction limit
% 4.76/1.44  % (3518115)Termination phase: Property scanning
% 4.76/1.44  % (3518115)Time elapsed: 0.004 s
% 4.76/1.44  % (3518115)Peak memory usage: 86 MB
% 4.76/1.44  % (3518115)Instructions burned: 5 (million)
% 4.76/1.44  % (3518117)Instruction limit reached! 
% 4.76/1.44  % (3518117)------------------------------
% 4.76/1.44  % (3518117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.76/1.44  % (3518117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.76/1.44  % (3518117)CaDiCaL version: 2.1.3
% 4.76/1.44  % (3518117)Termination reason: Instruction limit
% 4.76/1.44  % (3518117)Termination phase: Preprocessing 3
% 4.76/1.44  % (3518117)Time elapsed: 0.017 s
% 4.76/1.44  % (3518117)Peak memory usage: 89 MB
% 4.76/1.44  % (3518117)Instructions burned: 56 (million)
% 4.76/1.44  % (3518113)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=1522675459:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 4.76/1.44  % (3518113)Instruction limit reached! 
% 4.76/1.44  % (3518113)------------------------------
% 4.76/1.44  % (3518113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.76/1.44  % (3518113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.76/1.44  % (3518113)CaDiCaL version: 2.1.3
% 4.76/1.44  % (3518113)Termination reason: Instruction limit
% 4.76/1.44  % (3518113)Termination phase: shuffling
% 4.76/1.44  % (3518113)Time elapsed: 0.003 s
% 4.76/1.44  % (3518113)Peak memory usage: 86 MB
% 4.76/1.44  % (3518113)Instructions burned: 3 (million)
% 4.76/1.44  % (3518114)First to succeed.
% 4.76/1.44  % (3518114)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3518038"
% 4.76/1.44  % (3518116)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=3497284880:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2996 on theBenchmark for (2996ds/66Mi)
% 4.76/1.44  % (3518119)ott+1011_1_to=kbo:plsq=on:drc=off:si=on:plsqr=32,1:sp=const_frequency:sos=all:uwa=one_side_interpreted:sac=on:random_seed=2991282423:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2996 on theBenchmark for (2996ds/8Mi)
% 4.76/1.44  % (3518119)Instruction limit reached! 
% 4.76/1.44  % (3518119)------------------------------
% 4.76/1.44  % (3518119)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.76/1.44  % (3518119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.76/1.44  % (3518119)CaDiCaL version: 2.1.3
% 4.76/1.44  % (3518119)Termination reason: Instruction limit
% 4.76/1.44  % (3518119)Termination phase: Property scanning
% 4.76/1.44  % (3518119)Time elapsed: 0.005 s
% 4.76/1.44  % (3518119)Peak memory usage: 86 MB
% 4.76/1.44  % (3518119)Instructions burned: 8 (million)
% 4.76/1.44  % (3518120)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=2909568752:st=3:i=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/2Mi)
% 4.76/1.44  % (3518116)Instruction limit reached! 
% 4.76/1.44  % (3518116)------------------------------
% 4.76/1.44  % (3518116)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.76/1.44  % (3518116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.76/1.44  % (3518116)CaDiCaL version: 2.1.3
% 4.76/1.44  % (3518116)Termination reason: Instruction limit
% 4.76/1.44  % (3518116)Termination phase: Property scanning
% 4.76/1.44  % (3518116)Time elapsed: 0.045 s
% 4.76/1.44  % (3518116)Peak memory usage: 91 MB
% 4.76/1.44  % (3518116)Instructions burned: 67 (million)
% 4.76/1.44  % (3518120)Instruction limit reached! 
% 4.76/1.44  % (3518120)------------------------------
% 4.76/1.44  % (3518120)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.76/1.44  % (3518120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.76/1.44  % (3518120)CaDiCaL version: 2.1.3
% 4.76/1.44  % (3518120)Termination reason: Instruction limit
% 4.76/1.44  % (3518120)Termination phase: shuffling
% 4.76/1.44  % (3518120)Time elapsed: 0.003 s
% 4.76/1.44  % (3518120)Peak memory usage: 86 MB
% 4.76/1.44  % (3518120)Instructions burned: 3 (million)
% 4.76/1.44  % (3518126)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=2935074759:i=127:doe=on:rtra=on_2994 on theBenchmark for (2994ds/127Mi)
% 4.76/1.44  % (3518124)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=4047705960:i=2:doe=on:canc=force:asg=cautious:rtra=on_2995 on theBenchmark for (2995ds/2Mi)
% 4.76/1.44  % (3518124)Instruction limit reached! 
% 4.76/1.44  % (3518124)------------------------------
% 4.76/1.44  % (3518124)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.76/1.44  % (3518124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.76/1.44  % (3518124)CaDiCaL version: 2.1.3
% 4.76/1.44  % (3518124)Termination reason: Instruction limit
% 4.76/1.44  % (3518124)Termination phase: shuffling
% 4.76/1.44  % (3518124)Time elapsed: 0.003 s
% 4.76/1.44  % (3518124)Peak memory usage: 86 MB
% 4.76/1.44  % (3518124)Instructions burned: 2 (million)
% 4.76/1.44  % (3518126)Instruction limit reached! 
% 4.76/1.44  % (3518126)------------------------------
% 4.76/1.44  % (3518126)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.76/1.44  % (3518126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.76/1.44  % (3518126)CaDiCaL version: 2.1.3
% 4.76/1.44  % (3518126)Termination reason: Instruction limit
% 4.76/1.44  % (3518126)Termination phase: Saturation
% 4.76/1.44  % (3518126)Time elapsed: 0.056 s
% 4.76/1.44  % (3518126)Peak memory usage: 117 MB
% 4.76/1.44  % (3518126)Instructions burned: 130 (million)
% 4.76/1.44  % (3518127)dis+10_1_si=on:random_seed=2383762310:i=10:ep=R:rtra=on_2994 on theBenchmark for (2994ds/10Mi)
% 4.76/1.44  % (3518127)Instruction limit reached! 
% 4.76/1.44  % (3518127)------------------------------
% 4.76/1.44  % (3518127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.76/1.44  % (3518127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.76/1.44  % (3518127)CaDiCaL version: 2.1.3
% 4.76/1.44  % (3518127)Termination reason: Instruction limit
% 4.76/1.44  % (3518127)Termination phase: Including theory axioms
% 4.76/1.44  % (3518127)Time elapsed: 0.007 s
% 4.76/1.44  % (3518127)Peak memory usage: 87 MB
% 4.76/1.44  % (3518127)Instructions burned: 11 (million)
% 4.76/1.44  % (3518130)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=3876085604:i=26:canc=cautious:av=off:rtra=on_2994 on theBenchmark for (2994ds/26Mi)
% 4.76/1.44  % (3518133)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=171908374:i=2:fsr=off:rtra=on:inst=on_2994 on theBenchmark for (2994ds/2Mi)
% 4.76/1.44  % (3518132)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=4121472278:avsq=on:i=35:doe=on:thsqd=64:nm=64:fsr=off:thsqc=32:rtra=on:tac=light:ss=included:thsq=on:ev=off:sgt=32_2994 on theBenchmark for (2994ds/35Mi)
% 4.76/1.44  % (3518130)Instruction limit reached! 
% 4.76/1.44  % (3518130)------------------------------
% 4.76/1.44  % (3518130)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.76/1.44  % (3518130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.76/1.44  % (3518130)CaDiCaL version: 2.1.3
% 4.76/1.44  % (3518130)Termination reason: Instruction limit
% 4.76/1.44  % (3518130)Termination phase: Unused predicate definition removal
% 4.76/1.44  % (3518130)Time elapsed: 0.017 s
% 4.76/1.44  % (3518130)Peak memory usage: 87 MB
% 4.76/1.44  % (3518130)Instructions burned: 26 (million)
% 4.76/1.44  % (3518133)Instruction limit reached! 
% 4.76/1.44  % (3518133)------------------------------
% 4.76/1.44  % (3518133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.76/1.44  % (3518133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.76/1.44  % (3518133)CaDiCaL version: 2.1.3
% 4.76/1.44  % (3518133)Termination reason: Instruction limit
% 4.76/1.44  % (3518133)Termination phase: Property scanning
% 4.76/1.44  % (3518133)Time elapsed: 0.004 s
% 4.76/1.44  % (3518133)Peak memory usage: 86 MB
% 4.76/1.44  % (3518133)Instructions burned: 3 (million)
% 4.76/1.44  % (3518132)Instruction limit reached! 
% 4.76/1.44  % (3518132)------------------------------
% 4.76/1.44  % (3518132)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.76/1.44  % (3518132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.76/1.44  % (3518132)CaDiCaL version: 2.1.3
% 4.76/1.44  % (3518132)Termination reason: Instruction limit
% 4.76/1.44  % (3518132)Termination phase: Preprocessing 3
% 4.76/1.44  % (3518132)Time elapsed: 0.023 s
% 4.76/1.44  % (3518132)Peak memory usage: 88 MB
% 4.76/1.44  % (3518132)Instructions burned: 36 (million)
% 4.76/1.44  % (3518114)Refutation found. Thanks to Tanya!
% 4.76/1.44  % SZS status Theorem for theBenchmark
% 4.76/1.44  % SZS output start Proof for theBenchmark
% See solution above
% 5.97/1.64  % (3518114)------------------------------
% 5.97/1.64  % (3518114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.97/1.64  % (3518114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.97/1.64  % (3518114)CaDiCaL version: 2.1.3
% 5.97/1.64  % (3518114)Termination reason: Refutation
% 5.97/1.64  % (3518114)Time elapsed: 0.034 s
% 5.97/1.64  % (3518114)Peak memory usage: 92 MB
% 5.97/1.64  % (3518114)Instructions burned: 54 (million)
% 5.97/1.64  % (3518114)------------------------------
% 5.97/1.64  % (3518114)------------------------------
% 5.97/1.64  % (3518038)Success in time 0.786 s
% 5.97/1.64  % Vampire exiting
%------------------------------------------------------------------------------