%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC542_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 : n012.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 01:04:13 PM UTC 2026
% Result : Theorem 3.45s 0.80s
% Output : Refutation 3.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 10
% Syntax : Number of formulae : 65 ( 6 unt; 0 typ; 8 def)
% Number of atoms : 215 ( 46 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 252 ( 102 ~; 69 |; 64 &)
% ( 7 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number arithmetic : 71 ( 0 atm; 0 fun; 0 num; 71 var)
% Number of types : 9 ( 7 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 18 ( 16 usr; 9 prp; 0-4 aty)
% Number of functors : 545 ( 545 usr; 516 con; 0-3 aty)
% Number of variables : 71 ( 0 sgn 48 !; 23 ?; 71 :)
% 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(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,
g_s1_1: $int ).
tff(func_def_7,type,
g_s2_2: $int ).
tff(func_def_8,type,
g_s3_3: set_0 ).
tff(func_def_9,type,
g_s4_4: $int ).
tff(func_def_10,type,
g_s5_5: $int ).
tff(func_def_11,type,
g_s6_6: $int ).
tff(func_def_12,type,
g_s7_7: $int ).
tff(func_def_13,type,
g_s8_8: $int ).
tff(func_def_14,type,
g_s9_9: set_0 ).
tff(func_def_15,type,
g_s10_10: $int ).
tff(func_def_16,type,
g_s11_11: $int ).
tff(func_def_17,type,
g_s12_12: $int ).
tff(func_def_18,type,
g_s13_13: $int ).
tff(func_def_19,type,
g_s14_14: set_0 ).
tff(func_def_20,type,
g_s15_15: $int ).
tff(func_def_21,type,
g_s16_16: $int ).
tff(func_def_22,type,
g_s17_17: $int ).
tff(func_def_23,type,
g_s18_18: set_0 ).
tff(func_def_24,type,
g_s19_19: $int ).
tff(func_def_25,type,
g_s20_20: $int ).
tff(func_def_26,type,
g_s21_21: $int ).
tff(func_def_27,type,
g_s22_22: set_0 ).
tff(func_def_28,type,
g_s23_23: $int ).
tff(func_def_29,type,
g_s24_24: $int ).
tff(func_def_30,type,
g_s25_25: $int ).
tff(func_def_31,type,
g_s26_26: set_0 ).
tff(func_def_32,type,
g_s27_27: $int ).
tff(func_def_33,type,
g_s28_28: $int ).
tff(func_def_34,type,
g_s29_29: $int ).
tff(func_def_35,type,
g_s30_30: $int ).
tff(func_def_36,type,
g_s31_31: set_0 ).
tff(func_def_37,type,
g_s32_32: $int ).
tff(func_def_38,type,
g_s33_33: $int ).
tff(func_def_39,type,
g_s34_34: $int ).
tff(func_def_40,type,
g_s35_35: $int ).
tff(func_def_41,type,
g_s36_36: $int ).
tff(func_def_42,type,
g_s37_37: $int ).
tff(func_def_43,type,
g_s38_38: $int ).
tff(func_def_44,type,
g_s39_39: $int ).
tff(func_def_45,type,
g_s40_40: set_0 ).
tff(func_def_46,type,
g_s41_41: $int ).
tff(func_def_47,type,
g_s42_42: $int ).
tff(func_def_48,type,
g_s43_43: $int ).
tff(func_def_49,type,
g_s44_44: $int ).
tff(func_def_50,type,
g_s45_45: set_0 ).
tff(func_def_51,type,
g_s46_46: $int ).
tff(func_def_52,type,
g_s47_47: $int ).
tff(func_def_53,type,
g_s48_48: $int ).
tff(func_def_54,type,
g_s49_49: $int ).
tff(func_def_55,type,
g_s50_50: $int ).
tff(func_def_56,type,
g_s51_51: $int ).
tff(func_def_57,type,
g_s52_52: $int ).
tff(func_def_58,type,
g_s53_53: $int ).
tff(func_def_59,type,
g_s54_54: set_0 ).
tff(func_def_60,type,
g_s55_55: $int ).
tff(func_def_61,type,
g_s56_56: $int ).
tff(func_def_62,type,
g_s57_57: $int ).
tff(func_def_63,type,
g_s58_58: set_0 ).
tff(func_def_64,type,
g_s59_59: $int ).
tff(func_def_65,type,
g_s60_60: $int ).
tff(func_def_66,type,
g_s61_61: $int ).
tff(func_def_67,type,
g_s62_62: set_0 ).
tff(func_def_68,type,
g_s63_63: $int ).
tff(func_def_69,type,
g_s64_64: $int ).
tff(func_def_70,type,
g_s65_65: $int ).
tff(func_def_71,type,
g_s66_66: set_0 ).
tff(func_def_72,type,
g_s67_67: $int ).
tff(func_def_73,type,
g_s68_68: $int ).
tff(func_def_74,type,
g_s69_69: set_0 ).
tff(func_def_75,type,
g_s70_70: $int ).
tff(func_def_76,type,
g_s71_71: $int ).
tff(func_def_77,type,
g_s72_72: set_0 ).
tff(func_def_78,type,
g_s73_73: $int ).
tff(func_def_79,type,
g_s74_74: $int ).
tff(func_def_80,type,
g_s75_75: $int ).
tff(func_def_81,type,
g_s76_76: set_0 ).
tff(func_def_82,type,
g_s77_77: $int ).
tff(func_def_83,type,
g_s78_78: $int ).
tff(func_def_84,type,
g_s79_79: set_0 ).
tff(func_def_85,type,
g_s80_80: $int ).
tff(func_def_86,type,
g_s81_81: $int ).
tff(func_def_87,type,
g_s82_82: $int ).
tff(func_def_88,type,
g_s83_83: set_0 ).
tff(func_def_89,type,
set_2_empty: set_2 ).
tff(func_def_90,type,
set_2_insert: set_2 > set_2 ).
tff(func_def_91,type,
g_s84_84: set_0 ).
tff(func_def_92,type,
g_s85_85: set_0 ).
tff(func_def_93,type,
g_s86_86: set_0 ).
tff(func_def_94,type,
g_s87_87: $int ).
tff(func_def_95,type,
g_s88_88: $int ).
tff(func_def_96,type,
g_s89_89: set_0 ).
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: $int ).
tff(func_def_100,type,
g_s93_93: set_0 ).
tff(func_def_101,type,
g_s94_94: $int ).
tff(func_def_102,type,
g_s95_95: $int ).
tff(func_def_103,type,
g_s96_96: $int ).
tff(func_def_104,type,
g_s97_97: $int ).
tff(func_def_105,type,
g_s98_98: set_0 ).
tff(func_def_106,type,
g_s99_99: $int ).
tff(func_def_107,type,
g_s100_100: $int ).
tff(func_def_108,type,
g_s101_101: $int ).
tff(func_def_109,type,
g_s102_102: $int ).
tff(func_def_110,type,
g_s103_103: $int ).
tff(func_def_111,type,
g_s104_104: set_0 ).
tff(func_def_112,type,
g_s105_105: $int ).
tff(func_def_113,type,
g_s106_106: $int ).
tff(func_def_114,type,
g_s107_107: $int ).
tff(func_def_115,type,
g_s108_108: $int ).
tff(func_def_116,type,
g_s109_109: $int ).
tff(func_def_117,type,
g_s110_110: $int ).
tff(func_def_118,type,
g_s111_111: set_0 ).
tff(func_def_119,type,
g_s112_112: $int ).
tff(func_def_120,type,
g_s113_113: $int ).
tff(func_def_121,type,
g_s114_114: $int ).
tff(func_def_122,type,
g_s115_115: $int ).
tff(func_def_123,type,
g_s116_116: $int ).
tff(func_def_124,type,
g_s117_117: $int ).
tff(func_def_125,type,
g_s118_118: $int ).
tff(func_def_126,type,
g_s119_119: set_0 ).
tff(func_def_127,type,
g_s120_120: set_0 ).
tff(func_def_128,type,
g_s121_121: set_0 ).
tff(func_def_129,type,
g_s122_122: set_0 ).
tff(func_def_130,type,
g_s123_123: $int ).
tff(func_def_131,type,
g_s124_124: $int ).
tff(func_def_132,type,
g_s125_125: $int ).
tff(func_def_133,type,
g_s126_126: set_0 ).
tff(func_def_134,type,
g_s127_127: set_0 ).
tff(func_def_135,type,
g_s128_128: set_0 ).
tff(func_def_136,type,
g_s129_129: set_0 ).
tff(func_def_137,type,
g_s130_130: set_0 ).
tff(func_def_138,type,
g_s131_131: $int ).
tff(func_def_139,type,
g_s132_132: $int ).
tff(func_def_140,type,
g_s133_133: set_0 ).
tff(func_def_141,type,
g_s134_134: set_0 ).
tff(func_def_142,type,
g_s135_135: $int ).
tff(func_def_143,type,
g_s136_136: $int ).
tff(func_def_144,type,
g_s137_137: set_2 ).
tff(func_def_145,type,
g_s138_138: $int ).
tff(func_def_146,type,
g_s139_139: set_0 ).
tff(func_def_147,type,
g_s140_140: $int ).
tff(func_def_148,type,
g_s141_141: $int ).
tff(func_def_149,type,
g_s142_142: set_2 ).
tff(func_def_150,type,
g_s143_143: $int ).
tff(func_def_151,type,
set_3_empty: set_3 ).
tff(func_def_152,type,
set_3_insert: set_3 > set_3 ).
tff(func_def_153,type,
g_s144_144: set_3 ).
tff(func_def_154,type,
g_s145_145: set_0 ).
tff(func_def_155,type,
g_s146_146: set_3 ).
tff(func_def_156,type,
g_s147_147: set_3 ).
tff(func_def_157,type,
g_s148_148: set_3 ).
tff(func_def_158,type,
set_4_empty: set_4 ).
tff(func_def_159,type,
set_4_insert: set_4 > set_4 ).
tff(func_def_160,type,
g_s149_149: set_4 ).
tff(func_def_161,type,
g_s150_150: set_4 ).
tff(func_def_162,type,
g_s151_151: set_4 ).
tff(func_def_163,type,
g_s152_152: set_4 ).
tff(func_def_164,type,
g_s153_153: set_4 ).
tff(func_def_165,type,
g_s154_154: set_2 ).
tff(func_def_166,type,
g_s155_155: set_2 ).
tff(func_def_167,type,
g_s156_156: set_3 ).
tff(func_def_168,type,
g_s157_157: set_3 ).
tff(func_def_169,type,
g_s158_158: set_3 ).
tff(func_def_170,type,
g_s159_159: set_3 ).
tff(func_def_171,type,
g_s160_160: set_2 ).
tff(func_def_172,type,
g_s161_161: set_2 ).
tff(func_def_173,type,
g_s162_162: set_3 ).
tff(func_def_174,type,
g_s163_163: set_3 ).
tff(func_def_175,type,
g_s164_164: set_3 ).
tff(func_def_176,type,
g_s165_165: set_3 ).
tff(func_def_177,type,
g_s166_166: set_3 ).
tff(func_def_178,type,
g_s167_167: set_3 ).
tff(func_def_179,type,
g_s170_168: set_0 ).
tff(func_def_180,type,
g_s171_169: $int ).
tff(func_def_181,type,
g_s172_170: set_2 ).
tff(func_def_182,type,
g_s173_171: set_0 ).
tff(func_def_183,type,
g_s174_172: $int ).
tff(func_def_184,type,
g_s175_173: set_2 ).
tff(func_def_185,type,
g_s176_174: set_0 ).
tff(func_def_186,type,
g_s177_175: $int ).
tff(func_def_187,type,
g_s178_176: set_2 ).
tff(func_def_188,type,
g_s179_177: set_0 ).
tff(func_def_189,type,
g_s180_178: $int ).
tff(func_def_190,type,
g_s181_179: set_2 ).
tff(func_def_191,type,
g_s182_180: set_0 ).
tff(func_def_192,type,
g_s183_181: set_0 ).
tff(func_def_193,type,
g_s184_182: set_2 ).
tff(func_def_194,type,
g_s185_183: set_2 ).
tff(func_def_195,type,
g_s186_184: set_2 ).
tff(func_def_196,type,
g_s187_185: set_2 ).
tff(func_def_197,type,
g_s188_186: set_0 ).
tff(func_def_198,type,
g_s189_187: set_0 ).
tff(func_def_199,type,
g_s190_188: $int ).
tff(func_def_200,type,
g_s191_189: set_2 ).
tff(func_def_201,type,
g_s192_190: set_0 ).
tff(func_def_202,type,
g_s193_191: $int ).
tff(func_def_203,type,
g_s194_192: set_2 ).
tff(func_def_204,type,
g_s195_193: set_2 ).
tff(func_def_205,type,
g_s196_194: set_2 ).
tff(func_def_206,type,
g_s198_195: set_0 ).
tff(func_def_207,type,
g_s197_196: $int ).
tff(func_def_208,type,
g_s199_197: $int ).
tff(func_def_209,type,
g_s200_198: $int ).
tff(func_def_210,type,
g_s201_199: $int ).
tff(func_def_211,type,
g_s202_200: $int ).
tff(func_def_212,type,
g_s203_201: $int ).
tff(func_def_213,type,
g_s204_202: $int ).
tff(func_def_214,type,
g_s205_203: $int ).
tff(func_def_215,type,
g_s206_204: $int ).
tff(func_def_216,type,
g_s207_205: $int ).
tff(func_def_217,type,
g_s208_206: $int ).
tff(func_def_218,type,
g_s209_207: $int ).
tff(func_def_219,type,
g_s210_208: $int ).
tff(func_def_220,type,
g_s211_209: $int ).
tff(func_def_221,type,
g_s212_210: $int ).
tff(func_def_222,type,
g_s213_211: $int ).
tff(func_def_223,type,
g_s214_212: $int ).
tff(func_def_224,type,
g_s215_213: $int ).
tff(func_def_225,type,
g_s216_214: $int ).
tff(func_def_226,type,
g_s217_215: $int ).
tff(func_def_227,type,
g_s218_216: $int ).
tff(func_def_228,type,
g_s219_217: $int ).
tff(func_def_229,type,
g_s220_218: $int ).
tff(func_def_230,type,
g_s221_219: $int ).
tff(func_def_231,type,
g_s222_220: $int ).
tff(func_def_232,type,
g_s223_221: $int ).
tff(func_def_233,type,
g_s224_222: $int ).
tff(func_def_234,type,
g_s225_223: $int ).
tff(func_def_235,type,
g_s226_224: $int ).
tff(func_def_236,type,
g_s227_225: $int ).
tff(func_def_237,type,
g_s228_226: $int ).
tff(func_def_238,type,
g_s229_227: $int ).
tff(func_def_239,type,
g_s230_228: $int ).
tff(func_def_240,type,
g_s231_229: $int ).
tff(func_def_241,type,
g_s232_230: $int ).
tff(func_def_242,type,
g_s233_231: $int ).
tff(func_def_243,type,
g_s234_232: $int ).
tff(func_def_244,type,
g_s235_233: $int ).
tff(func_def_245,type,
g_s236_234: $int ).
tff(func_def_246,type,
g_s237_235: $int ).
tff(func_def_247,type,
g_s238_236: $int ).
tff(func_def_248,type,
g_s239_237: $int ).
tff(func_def_249,type,
g_s240_238: $int ).
tff(func_def_250,type,
g_s241_239: $int ).
tff(func_def_251,type,
g_s242_240: $int ).
tff(func_def_252,type,
g_s243_241: $int ).
tff(func_def_253,type,
g_s244_242: $int ).
tff(func_def_254,type,
g_s245_243: $int ).
tff(func_def_255,type,
g_s246_244: set_0 ).
tff(func_def_256,type,
g_s247_245: set_0 ).
tff(func_def_257,type,
g_s248_246: set_3 ).
tff(func_def_258,type,
g_s249_247: set_2 ).
tff(func_def_259,type,
set_5_empty: set_5 ).
tff(func_def_260,type,
set_5_insert: set_5 > set_5 ).
tff(func_def_261,type,
g_s250_248: set_5 ).
tff(func_def_262,type,
g_s251_249: set_5 ).
tff(func_def_263,type,
g_s252_250: set_2 ).
tff(func_def_264,type,
g_s253_251: set_2 ).
tff(func_def_265,type,
g_s254_252: set_2 ).
tff(func_def_266,type,
g_s255_253: set_2 ).
tff(func_def_267,type,
g_s256_254: set_0 ).
tff(func_def_268,type,
set_6_empty: set_6 ).
tff(func_def_269,type,
set_6_insert: set_6 > set_6 ).
tff(func_def_273,type,
g_s260_255: set_2 ).
tff(func_def_274,type,
g_s261_256: set_0 ).
tff(func_def_275,type,
set_7_empty: set_7 ).
tff(func_def_276,type,
set_7_insert: set_7 > set_7 ).
tff(func_def_277,type,
g_s262_257: set_7 ).
tff(func_def_278,type,
g_s263_258: set_0 ).
tff(func_def_279,type,
g_s264_259: set_2 ).
tff(func_def_280,type,
g_s266_260: set_5 ).
tff(func_def_281,type,
g_s267_261: set_0 ).
tff(func_def_282,type,
g_s268_262: set_0 ).
tff(func_def_283,type,
g_s269_263: set_2 ).
tff(func_def_284,type,
g_s270_264: set_2 ).
tff(func_def_285,type,
g_s271_265: set_2 ).
tff(func_def_286,type,
g_s273_266: set_3 ).
tff(func_def_287,type,
g_s274_267: set_4 ).
tff(func_def_288,type,
g_s275_268: set_2 ).
tff(func_def_289,type,
g_s277_269: $int ).
tff(func_def_290,type,
g_s278_270: set_2 ).
tff(func_def_291,type,
g_s279_271: $int ).
tff(func_def_292,type,
g_s280_272: $int ).
tff(func_def_293,type,
g_s282_273: set_0 ).
tff(func_def_294,type,
g_s281_274: $int ).
tff(func_def_295,type,
g_s284_275: set_0 ).
tff(func_def_296,type,
g_s283_276: $int ).
tff(func_def_297,type,
g_s286_277: set_0 ).
tff(func_def_298,type,
g_s285_278: $int ).
tff(func_def_299,type,
g_s287_279: $int ).
tff(func_def_300,type,
g_s288_280: $int ).
tff(func_def_301,type,
g_s289_281: set_2 ).
tff(func_def_302,type,
g_s290_282: set_0 ).
tff(func_def_303,type,
g_s291_283: set_0 ).
tff(func_def_304,type,
g_s292_284: set_0 ).
tff(func_def_305,type,
g_s293_285: set_0 ).
tff(func_def_306,type,
g_s296_286: set_2 ).
tff(func_def_307,type,
g_s297_287: set_0 ).
tff(func_def_308,type,
g_s298_288: set_0 ).
tff(func_def_309,type,
g_s299_289: set_0 ).
tff(func_def_310,type,
g_s300_290: set_0 ).
tff(func_def_311,type,
g_s301_291: set_0 ).
tff(func_def_312,type,
g_s302_292: set_2 ).
tff(func_def_313,type,
g_s303_293: set_2 ).
tff(func_def_314,type,
g_s304_294: set_0 ).
tff(func_def_315,type,
g_s305_295: set_2 ).
tff(func_def_316,type,
g_s306_296: set_2 ).
tff(func_def_317,type,
g_s307_297: set_0 ).
tff(func_def_318,type,
g_s308_298: set_2 ).
tff(func_def_319,type,
g_s309_299: set_0 ).
tff(func_def_320,type,
g_s310_300: set_2 ).
tff(func_def_321,type,
g_s311_301: set_0 ).
tff(func_def_322,type,
g_s312_302: set_2 ).
tff(func_def_323,type,
g_s313_303: set_2 ).
tff(func_def_324,type,
g_s314_304: set_2 ).
tff(func_def_325,type,
g_s315_305: set_2 ).
tff(func_def_326,type,
g_s316_306: set_2 ).
tff(func_def_327,type,
g_s317_307: set_2 ).
tff(func_def_328,type,
g_s318_308: set_2 ).
tff(func_def_329,type,
g_s319_309: set_2 ).
tff(func_def_330,type,
g_s320_310: set_2 ).
tff(func_def_331,type,
g_s321_311: set_0 ).
tff(func_def_332,type,
g_s322_312: set_2 ).
tff(func_def_333,type,
g_s323_313: set_2 ).
tff(func_def_334,type,
g_s324_314: set_0 ).
tff(func_def_335,type,
g_s325_315: set_0 ).
tff(func_def_336,type,
g_s326_316: set_0 ).
tff(func_def_337,type,
g_s327_317: set_0 ).
tff(func_def_338,type,
g_s328_318: set_0 ).
tff(func_def_339,type,
g_s329_319: set_0 ).
tff(func_def_340,type,
g_s330_320: set_0 ).
tff(func_def_341,type,
g_s331_321: set_0 ).
tff(func_def_342,type,
g_s332_322: set_0 ).
tff(func_def_343,type,
g_s333_323: set_2 ).
tff(func_def_344,type,
g_s334_324: set_0 ).
tff(func_def_345,type,
g_s335_325: set_0 ).
tff(func_def_346,type,
g_s336_326: set_0 ).
tff(func_def_347,type,
g_s337_327: set_2 ).
tff(func_def_348,type,
g_s338_328: set_2 ).
tff(func_def_349,type,
g_s339_329: set_0 ).
tff(func_def_350,type,
g_s340_330: set_2 ).
tff(func_def_351,type,
g_s341_331: set_0 ).
tff(func_def_352,type,
g_s342_332: set_2 ).
tff(func_def_353,type,
g_s343_333: set_0 ).
tff(func_def_354,type,
g_s344_334: set_2 ).
tff(func_def_355,type,
g_s345_335: set_2 ).
tff(func_def_356,type,
g_s346_336: set_7 ).
tff(func_def_357,type,
g_s347_337: set_0 ).
tff(func_def_358,type,
g_s348_338: set_0 ).
tff(func_def_359,type,
g_s349_339: set_2 ).
tff(func_def_360,type,
g_s350_340: set_0 ).
tff(func_def_361,type,
g_s351_341: set_2 ).
tff(func_def_362,type,
g_s352_342: set_5 ).
tff(func_def_363,type,
g_s353_343: set_0 ).
tff(func_def_364,type,
g_s354_344: set_0 ).
tff(func_def_365,type,
g_s355_345: set_7 ).
tff(func_def_366,type,
g_s356_346: set_2 ).
tff(func_def_367,type,
g_s357_347: set_0 ).
tff(func_def_368,type,
g_s359_348: set_0 ).
tff(func_def_369,type,
g_s358_349: $int ).
tff(func_def_370,type,
g_s360_350: $int ).
tff(func_def_371,type,
g_s361_351: $int ).
tff(func_def_372,type,
g_s362_352: $int ).
tff(func_def_373,type,
g_s364_353: set_0 ).
tff(func_def_374,type,
g_s363_354: $int ).
tff(func_def_375,type,
g_s365_355: $int ).
tff(func_def_376,type,
g_s366_356: $int ).
tff(func_def_377,type,
g_s367_357: $int ).
tff(func_def_378,type,
g_s368_358: $int ).
tff(func_def_379,type,
g_s369_359: $int ).
tff(func_def_380,type,
g_s370_360: $int ).
tff(func_def_381,type,
g_s372_361: set_0 ).
tff(func_def_382,type,
g_s371_362: $int ).
tff(func_def_383,type,
g_s374_363: set_0 ).
tff(func_def_384,type,
g_s373_364: $int ).
tff(func_def_385,type,
g_s376_365: set_0 ).
tff(func_def_386,type,
g_s375_366: $int ).
tff(func_def_387,type,
g_s377_367: $int ).
tff(func_def_388,type,
g_s378_368: $int ).
tff(func_def_389,type,
g_s379_369: $int ).
tff(func_def_390,type,
g_s380_370: $int ).
tff(func_def_391,type,
g_s381_371: $int ).
tff(func_def_392,type,
g_s382_372: $int ).
tff(func_def_393,type,
g_s384_373: set_0 ).
tff(func_def_394,type,
g_s383_374: $int ).
tff(func_def_395,type,
g_s385_375: $int ).
tff(func_def_396,type,
g_s386_376: set_0 ).
tff(func_def_397,type,
g_s387_377: set_0 ).
tff(func_def_398,type,
g_s388_378: set_0 ).
tff(func_def_399,type,
g_s389_379: set_2 ).
tff(func_def_400,type,
g_s390_380: set_0 ).
tff(func_def_401,type,
g_s391_381: set_2 ).
tff(func_def_402,type,
g_s392_382: set_2 ).
tff(func_def_403,type,
g_s393_383: set_0 ).
tff(func_def_404,type,
g_s394_384: set_2 ).
tff(func_def_405,type,
g_s395_385: set_0 ).
tff(func_def_406,type,
g_s396_386: set_2 ).
tff(func_def_407,type,
g_s397_387: set_2 ).
tff(func_def_408,type,
g_s398_388: set_0 ).
tff(func_def_409,type,
g_s399_389: set_0 ).
tff(func_def_410,type,
g_s400_390: set_2 ).
tff(func_def_411,type,
g_s401_391: set_0 ).
tff(func_def_412,type,
g_s402_392: set_0 ).
tff(func_def_413,type,
g_s403_393: set_0 ).
tff(func_def_414,type,
g_s404_394: set_0 ).
tff(func_def_415,type,
g_s405_395: set_2 ).
tff(func_def_416,type,
g_s406_396: set_2 ).
tff(func_def_417,type,
g_s407_397: set_2 ).
tff(func_def_418,type,
g_s408_398: set_2 ).
tff(func_def_419,type,
g_s409_399: set_0 ).
tff(func_def_420,type,
g_s410_400: set_0 ).
tff(func_def_421,type,
g_s411_401: set_0 ).
tff(func_def_422,type,
g_s412_402: set_0 ).
tff(func_def_423,type,
g_s413_403: set_0 ).
tff(func_def_424,type,
g_s414_404: set_0 ).
tff(func_def_425,type,
g_s415_405: set_0 ).
tff(func_def_426,type,
g_s416_406: set_0 ).
tff(func_def_427,type,
g_s417_407: set_0 ).
tff(func_def_428,type,
g_s418_408: set_0 ).
tff(func_def_429,type,
g_s419_409: set_0 ).
tff(func_def_430,type,
g_s420_410: set_0 ).
tff(func_def_431,type,
g_s421_411: set_0 ).
tff(func_def_432,type,
g_s422_412: set_0 ).
tff(func_def_433,type,
g_s423_413: set_0 ).
tff(func_def_434,type,
g_s424_414: set_0 ).
tff(func_def_435,type,
g_s425_415: set_0 ).
tff(func_def_436,type,
g_s426_416: set_0 ).
tff(func_def_437,type,
g_s427_417: set_0 ).
tff(func_def_438,type,
g_s428_418: set_0 ).
tff(func_def_439,type,
g_s429_419: set_0 ).
tff(func_def_440,type,
g_s430_420: set_0 ).
tff(func_def_441,type,
g_s431_421: set_0 ).
tff(func_def_442,type,
g_s432_422: set_0 ).
tff(func_def_443,type,
g_s433_423: set_0 ).
tff(func_def_444,type,
g_s434_424: set_0 ).
tff(func_def_445,type,
g_s435_425: set_2 ).
tff(func_def_446,type,
g_s436_426: set_2 ).
tff(func_def_447,type,
g_s437_427: set_2 ).
tff(func_def_448,type,
g_s438_428: set_0 ).
tff(func_def_449,type,
g_s439_429: set_0 ).
tff(func_def_450,type,
g_s440_430: set_2 ).
tff(func_def_451,type,
g_s441_431: set_0 ).
tff(func_def_452,type,
g_s442_432: set_0 ).
tff(func_def_453,type,
g_s443_433: set_0 ).
tff(func_def_454,type,
g_s444_434: set_0 ).
tff(func_def_455,type,
g_s445_435: set_0 ).
tff(func_def_456,type,
g_s446_436: set_0 ).
tff(func_def_457,type,
g_s447_437: set_0 ).
tff(func_def_458,type,
g_s448_438: set_0 ).
tff(func_def_459,type,
g_s449_439: set_0 ).
tff(func_def_460,type,
g_s450_440: set_0 ).
tff(func_def_461,type,
g_s451_441: set_0 ).
tff(func_def_462,type,
g_s452_442: set_0 ).
tff(func_def_463,type,
g_s453_443: set_0 ).
tff(func_def_464,type,
g_s454_444: $int ).
tff(func_def_465,type,
g_s456_445: set_0 ).
tff(func_def_466,type,
g_s455_446: $int ).
tff(func_def_467,type,
g_s458_447: set_2 ).
tff(func_def_468,type,
g_s459_448: set_0 ).
tff(func_def_469,type,
g_s460_449: set_0 ).
tff(func_def_470,type,
g_s461_450: set_2 ).
tff(func_def_471,type,
g_s462_451: set_0 ).
tff(func_def_472,type,
g_s463_452: set_2 ).
tff(func_def_473,type,
g_s464_453: set_0 ).
tff(func_def_474,type,
g_s465_454: set_2 ).
tff(func_def_475,type,
g_s466_455: set_5 ).
tff(func_def_476,type,
g_s467_456: set_5 ).
tff(func_def_477,type,
g_s468_457: set_5 ).
tff(func_def_478,type,
g_s469_458: set_5 ).
tff(func_def_479,type,
g_s471_459: $int ).
tff(func_def_480,type,
g_s472_460: set_2 ).
tff(func_def_481,type,
g_s473_461: set_0 ).
tff(func_def_482,type,
g_s474_462: set_0 ).
tff(func_def_483,type,
g_s475_463: set_0 ).
tff(func_def_484,type,
g_s476_464: set_2 ).
tff(func_def_485,type,
g_s477_465: set_2 ).
tff(func_def_486,type,
g_s479_466: set_3 ).
tff(func_def_487,type,
g_s480_467: set_3 ).
tff(func_def_488,type,
g_s481_468: set_2 ).
tff(func_def_489,type,
g_s482_469: set_2 ).
tff(func_def_490,type,
g_s483_470: set_2 ).
tff(func_def_491,type,
g_s484_471: set_2 ).
tff(func_def_492,type,
g_s485_472: set_3 ).
tff(func_def_493,type,
g_s486_473: set_3 ).
tff(func_def_494,type,
g_s487_474: set_2 ).
tff(func_def_495,type,
g_s488_475: set_2 ).
tff(func_def_496,type,
g_s489_476: set_2 ).
tff(func_def_497,type,
g_s490_477: set_2 ).
tff(func_def_498,type,
g_s491_478: set_2 ).
tff(func_def_499,type,
g_s492_479: set_2 ).
tff(func_def_500,type,
g_s493_480: set_2 ).
tff(func_def_501,type,
g_s494_481: set_2 ).
tff(func_def_502,type,
g_s495_482: set_2 ).
tff(func_def_503,type,
g_s496_483: set_0 ).
tff(func_def_504,type,
g_s500_484: $int ).
tff(func_def_505,type,
g_s512_486: $int ).
tff(func_def_506,type,
g_s513_487: $int ).
tff(func_def_507,type,
g_s504_485: $int ).
tff(func_def_509,type,
sK1: ( $int * $int ) > $int ).
tff(func_def_510,type,
sK2: ( $int * $int * $int ) > set_2 ).
tff(func_def_511,type,
sK3: ( $int * $int ) > $int ).
tff(func_def_512,type,
sK4: $int ).
tff(func_def_513,type,
sK5: $int ).
tff(func_def_514,type,
sK6: $int > $int ).
tff(func_def_515,type,
sK7: ( $int * $int ) > set_2 ).
tff(func_def_516,type,
sK8: ( $int * $int ) > $int ).
tff(func_def_517,type,
sK9: ( $int * $int * $int ) > set_2 ).
tff(func_def_518,type,
sK10: ( $int * $int ) > set_2 ).
tff(func_def_519,type,
sK11: ( $int * $int * $int ) > set_2 ).
tff(func_def_520,type,
sK12: ( $int * $int ) > $int ).
tff(func_def_521,type,
sK13: $int ).
tff(func_def_522,type,
sK14: set_2 ).
tff(func_def_523,type,
sK15: set_2 ).
tff(func_def_524,type,
sK16: $int > $int ).
tff(func_def_525,type,
sK17: $int > $int ).
tff(func_def_526,type,
sK18: $int ).
tff(func_def_527,type,
sK19: $int ).
tff(func_def_528,type,
sK20: ( $int * $int ) > set_2 ).
tff(func_def_529,type,
sK21: set_2 ).
tff(func_def_530,type,
sK22: $int > $int ).
tff(func_def_531,type,
sK23: $int > $int ).
tff(func_def_532,type,
sK24: ( $int * $int * $int ) > set_2 ).
tff(func_def_533,type,
sK25: ( $int * $int ) > $int ).
tff(func_def_534,type,
sK26: set_5 ).
tff(func_def_535,type,
sK27: $int > set_2 ).
tff(func_def_536,type,
sK28: $int ).
tff(func_def_537,type,
sK29: $int ).
tff(func_def_538,type,
sK30: set_2 ).
tff(func_def_539,type,
sK31: set_2 ).
tff(func_def_540,type,
sK32: $int > $int ).
tff(func_def_541,type,
sK33: $int > $int ).
tff(func_def_542,type,
sK34: $int ).
tff(func_def_543,type,
sK35: $int ).
tff(func_def_544,type,
sK36: $int ).
tff(func_def_545,type,
sK37: $int ).
tff(func_def_546,type,
sK38: $int ).
tff(func_def_547,type,
sK39: $int > $int ).
tff(func_def_548,type,
sK40: $int > $int ).
tff(func_def_549,type,
sK41: $int ).
tff(func_def_550,type,
sK42: set_5 ).
tff(func_def_551,type,
sK43: $int > set_2 ).
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 * $int * set_0 * set_4 ) > $o ).
tff(pred_def_5,type,
mem5: ( $int * set_2 * set_5 ) > $o ).
tff(pred_def_6,type,
mem6: ( $int * $int * $int * set_6 ) > $o ).
tff(pred_def_7,type,
mem_it0: ( $int * $int * set_2 * $int ) > $o ).
tff(pred_def_9,type,
mem7: ( $int * set_0 * set_7 ) > $o ).
tff(f284,axiom,
( ! [X2: $int,X3: $int,X4: $int] :
( ( mem2(X2,X4,g_s488_475)
& mem2(X2,X3,g_s488_475) )
=> ( X3 = X4 ) )
& ! [X1: $int,X0: $int] :
( mem2(X1,X0,g_s488_475)
=> ( mem0(X0,g_s192_190)
& mem0(X1,g_s173_171) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Define:inv:1') ).
tff(f502,conjecture,
( ! [X1: $int,X0: $int] :
( ( ( X1 != g_s500_484 )
& mem2(X1,X0,g_s488_475) )
=> ( mem0(X0,g_s192_190)
& mem0(X1,g_s173_171) ) )
& ! [X3: $int,X2: $int,X4: $int] :
( ( mem2(X2,X3,g_s488_475)
& ( X2 != g_s500_484 )
& mem2(X2,X4,g_s488_475)
& ( X2 != g_s500_484 ) )
=> ( X3 = X4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Goal') ).
tff(f503,negated_conjecture,
~ ( ! [X1: $int,X0: $int] :
( ( ( X1 != g_s500_484 )
& mem2(X1,X0,g_s488_475) )
=> ( mem0(X0,g_s192_190)
& mem0(X1,g_s173_171) ) )
& ! [X3: $int,X2: $int,X4: $int] :
( ( mem2(X2,X3,g_s488_475)
& ( X2 != g_s500_484 )
& mem2(X2,X4,g_s488_475)
& ( X2 != g_s500_484 ) )
=> ( X3 = X4 ) ) ),
inference(negated_conjecture,[status(cth)],[f502]) ).
tff(f589,plain,
~ ( ! [X1: $int,X0: $int] :
( ( ( X1 != g_s500_484 )
& mem2(X1,X0,g_s488_475) )
=> ( mem0(X0,g_s192_190)
& mem0(X1,g_s173_171) ) )
& ! [X2: $int,X3: $int,X4: $int] :
( ( mem2(X3,X2,g_s488_475)
& mem2(X3,X4,g_s488_475)
& ( g_s500_484 != X3 )
& ( g_s500_484 != X3 ) )
=> ( X2 = X4 ) ) ),
inference(rectify,[],[f503]) ).
tff(f592,plain,
( ! [X3: $int,X4: $int] :
( mem2(X3,X4,g_s488_475)
=> ( mem0(X3,g_s173_171)
& mem0(X4,g_s192_190) ) )
& ! [X2: $int,X0: $int,X1: $int] :
( ( mem2(X0,X2,g_s488_475)
& mem2(X0,X1,g_s488_475) )
=> ( X1 = X2 ) ) ),
inference(rectify,[],[f284]) ).
tff(f614,plain,
( ? [X1: $int,X0: $int] :
( ( ~ mem0(X1,g_s173_171)
| ~ mem0(X0,g_s192_190) )
& ( X1 != g_s500_484 )
& mem2(X1,X0,g_s488_475) )
| ? [X2: $int,X3: $int,X4: $int] :
( ( X2 != X4 )
& mem2(X3,X2,g_s488_475)
& mem2(X3,X4,g_s488_475)
& ( g_s500_484 != X3 )
& ( g_s500_484 != X3 ) ) ),
inference(ennf_transformation,[],[f589]) ).
tff(f615,plain,
( ? [X1: $int,X0: $int] :
( mem2(X1,X0,g_s488_475)
& ( X1 != g_s500_484 )
& ( ~ mem0(X1,g_s173_171)
| ~ mem0(X0,g_s192_190) ) )
| ? [X3: $int,X4: $int,X2: $int] :
( ( g_s500_484 != X3 )
& ( g_s500_484 != X3 )
& ( X2 != X4 )
& mem2(X3,X4,g_s488_475)
& mem2(X3,X2,g_s488_475) ) ),
inference(flattening,[],[f614]) ).
tff(f635,plain,
( ! [X4: $int,X3: $int] :
( ~ mem2(X3,X4,g_s488_475)
| ( mem0(X3,g_s173_171)
& mem0(X4,g_s192_190) ) )
& ! [X2: $int,X0: $int,X1: $int] :
( ( X1 = X2 )
| ~ mem2(X0,X2,g_s488_475)
| ~ mem2(X0,X1,g_s488_475) ) ),
inference(ennf_transformation,[],[f592]) ).
tff(f636,plain,
( ! [X4: $int,X3: $int] :
( ~ mem2(X3,X4,g_s488_475)
| ( mem0(X3,g_s173_171)
& mem0(X4,g_s192_190) ) )
& ! [X0: $int,X2: $int,X1: $int] :
( ~ mem2(X0,X2,g_s488_475)
| ~ mem2(X0,X1,g_s488_475)
| ( X1 = X2 ) ) ),
inference(flattening,[],[f635]) ).
tff(f648,definition,
( ? [X3: $int,X4: $int,X2: $int] :
( ( g_s500_484 != X3 )
& ( g_s500_484 != X3 )
& ( X2 != X4 )
& mem2(X3,X4,g_s488_475)
& mem2(X3,X2,g_s488_475) )
| ~ sP0 ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
tff(f649,plain,
( ? [X1: $int,X0: $int] :
( mem2(X1,X0,g_s488_475)
& ( X1 != g_s500_484 )
& ( ~ mem0(X1,g_s173_171)
| ~ mem0(X0,g_s192_190) ) )
| sP0 ),
inference(definition_folding,[],[f615,f648]) ).
tff(f683,plain,
( ? [X3: $int,X4: $int,X2: $int] :
( ( g_s500_484 != X3 )
& ( g_s500_484 != X3 )
& ( X2 != X4 )
& mem2(X3,X4,g_s488_475)
& mem2(X3,X2,g_s488_475) )
| ~ sP0 ),
inference(nnf_transformation,[],[f648]) ).
tff(f684,plain,
( ? [X0: $int,X1: $int,X2: $int] :
( ( g_s500_484 != X0 )
& ( g_s500_484 != X0 )
& ( X1 != X2 )
& mem2(X0,X1,g_s488_475)
& mem2(X0,X2,g_s488_475) )
| ~ sP0 ),
inference(rectify,[],[f683]) ).
tff(f685,plain,
( ( ( g_s500_484 != sK34 )
& ( g_s500_484 != sK34 )
& ( sK35 != sK36 )
& mem2(sK34,sK35,g_s488_475)
& mem2(sK34,sK36,g_s488_475) )
| ~ sP0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK34,sK35,sK36]),skolemize(X0,sK34),skolemize(X1,sK35),skolemize(X2,sK36)],[f684]) ).
tff(f686,plain,
( ? [X0: $int,X1: $int] :
( mem2(X0,X1,g_s488_475)
& ( g_s500_484 != X0 )
& ( ~ mem0(X0,g_s173_171)
| ~ mem0(X1,g_s192_190) ) )
| sP0 ),
inference(rectify,[],[f649]) ).
tff(f687,plain,
( ( mem2(sK37,sK38,g_s488_475)
& ( g_s500_484 != sK37 )
& ( ~ mem0(sK37,g_s173_171)
| ~ mem0(sK38,g_s192_190) ) )
| sP0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK37,sK38]),skolemize(X0,sK37),skolemize(X1,sK38)],[f686]) ).
tff(f695,plain,
( ! [X0: $int,X1: $int] :
( ~ mem2(X1,X0,g_s488_475)
| ( mem0(X1,g_s173_171)
& mem0(X0,g_s192_190) ) )
& ! [X2: $int,X3: $int,X4: $int] :
( ~ mem2(X2,X3,g_s488_475)
| ~ mem2(X2,X4,g_s488_475)
| ( X3 = X4 ) ) ),
inference(rectify,[],[f636]) ).
tff(f781,plain,
( ~ sP0
| mem2(sK34,sK36,g_s488_475) ),
inference(cnf_transformation,[],[f685]) ).
tff(f782,plain,
( ~ sP0
| mem2(sK34,sK35,g_s488_475) ),
inference(cnf_transformation,[],[f685]) ).
tff(f783,plain,
( ( sK35 != sK36 )
| ~ sP0 ),
inference(cnf_transformation,[],[f685]) ).
tff(f786,plain,
( ~ mem0(sK38,g_s192_190)
| ~ mem0(sK37,g_s173_171)
| sP0 ),
inference(cnf_transformation,[],[f687]) ).
tff(f788,plain,
( sP0
| mem2(sK37,sK38,g_s488_475) ),
inference(cnf_transformation,[],[f687]) ).
tff(f806,plain,
! [X2: $int,X3: $int,X4: $int] :
( ~ mem2(X2,X4,g_s488_475)
| ~ mem2(X2,X3,g_s488_475)
| ( X3 = X4 ) ),
inference(cnf_transformation,[],[f695]) ).
tff(f807,plain,
! [X0: $int,X1: $int] :
( ~ mem2(X1,X0,g_s488_475)
| mem0(X0,g_s192_190) ),
inference(cnf_transformation,[],[f695]) ).
tff(f808,plain,
! [X0: $int,X1: $int] :
( ~ mem2(X1,X0,g_s488_475)
| mem0(X1,g_s173_171) ),
inference(cnf_transformation,[],[f695]) ).
tff(f815,definition,
( spl44_2
<=> sP0 ),
introduced(definition,[new_symbols(definition,[spl44_2])],[avatar_definition]) ).
tff(f820,definition,
( spl44_3
<=> mem2(sK34,sK35,g_s488_475) ),
introduced(definition,[new_symbols(definition,[spl44_3])],[avatar_definition]) ).
tff(f822,plain,
( mem2(sK34,sK35,g_s488_475)
| ~ spl44_3 ),
inference(avatar_component_clause,[],[f820]) ).
tff(f823,plain,
( ~ spl44_2
| spl44_3 ),
inference(avatar_split_clause,[],[f782,f820,f815]) ).
tff(f830,definition,
( spl44_5
<=> mem2(sK34,sK36,g_s488_475) ),
introduced(definition,[new_symbols(definition,[spl44_5])],[avatar_definition]) ).
tff(f832,plain,
( mem2(sK34,sK36,g_s488_475)
| ~ spl44_5 ),
inference(avatar_component_clause,[],[f830]) ).
tff(f833,plain,
( ~ spl44_2
| spl44_5 ),
inference(avatar_split_clause,[],[f781,f830,f815]) ).
tff(f835,definition,
( spl44_6
<=> mem0(sK38,g_s192_190) ),
introduced(definition,[new_symbols(definition,[spl44_6])],[avatar_definition]) ).
tff(f839,definition,
( spl44_7
<=> mem0(sK37,g_s173_171) ),
introduced(definition,[new_symbols(definition,[spl44_7])],[avatar_definition]) ).
tff(f841,plain,
( ~ mem0(sK37,g_s173_171)
| spl44_7 ),
inference(avatar_component_clause,[],[f839]) ).
tff(f842,plain,
( ~ spl44_6
| ~ spl44_7
| spl44_2 ),
inference(avatar_split_clause,[],[f786,f815,f839,f835]) ).
tff(f844,definition,
( spl44_8
<=> ( sK35 = sK36 ) ),
introduced(definition,[new_symbols(definition,[spl44_8])],[avatar_definition]) ).
tff(f846,plain,
( ( sK35 != sK36 )
| spl44_8 ),
inference(avatar_component_clause,[],[f844]) ).
tff(f847,plain,
( ~ spl44_2
| ~ spl44_8 ),
inference(avatar_split_clause,[],[f783,f844,f815]) ).
tff(f850,definition,
( spl44_9
<=> mem2(sK37,sK38,g_s488_475) ),
introduced(definition,[new_symbols(definition,[spl44_9])],[avatar_definition]) ).
tff(f852,plain,
( mem2(sK37,sK38,g_s488_475)
| ~ spl44_9 ),
inference(avatar_component_clause,[],[f850]) ).
tff(f853,plain,
( spl44_2
| spl44_9 ),
inference(avatar_split_clause,[],[f788,f850,f815]) ).
tff(f984,plain,
( ! [X0: $int] :
( ~ mem2(sK34,X0,g_s488_475)
| ( sK35 = X0 ) )
| ~ spl44_3 ),
inference(resolution,[],[f806,f822]) ).
tff(f987,plain,
( ( sK35 = sK36 )
| ~ spl44_3
| ~ spl44_5 ),
inference(resolution,[],[f984,f832]) ).
tff(f988,plain,
( $false
| ~ spl44_3
| ~ spl44_5
| spl44_8 ),
inference(forward_subsumption_resolution,[],[f987,f846]) ).
tff(f989,plain,
( ~ spl44_3
| ~ spl44_5
| spl44_8 ),
inference(avatar_contradiction_clause,[],[f988]) ).
tff(f991,plain,
( mem0(sK37,g_s173_171)
| ~ spl44_9 ),
inference(resolution,[],[f852,f808]) ).
tff(f992,plain,
( mem0(sK38,g_s192_190)
| ~ spl44_9 ),
inference(resolution,[],[f852,f807]) ).
tff(f993,plain,
( $false
| spl44_7
| ~ spl44_9 ),
inference(forward_subsumption_resolution,[],[f991,f841]) ).
tff(f994,plain,
( spl44_7
| ~ spl44_9 ),
inference(avatar_contradiction_clause,[],[f993]) ).
tff(f995,plain,
( spl44_6
| ~ spl44_9 ),
inference(avatar_split_clause,[],[f992,f850,f835]) ).
cnf(s2,plain,
( ~ spl44_2
| spl44_3 ),
inference(sat_conversion,[],[f823]) ).
cnf(s4,plain,
( ~ spl44_2
| spl44_5 ),
inference(sat_conversion,[],[f833]) ).
cnf(s5,plain,
( spl44_2
| ~ spl44_6
| ~ spl44_7 ),
inference(sat_conversion,[],[f842]) ).
cnf(s6,plain,
( ~ spl44_2
| ~ spl44_8 ),
inference(sat_conversion,[],[f847]) ).
cnf(s8,plain,
( spl44_2
| spl44_9 ),
inference(sat_conversion,[],[f853]) ).
cnf(s12,plain,
( ~ spl44_3
| ~ spl44_5
| spl44_8 ),
inference(sat_conversion,[],[f989]) ).
cnf(s13,plain,
( spl44_7
| ~ spl44_9 ),
inference(sat_conversion,[],[f994]) ).
cnf(s14,plain,
( spl44_6
| ~ spl44_9 ),
inference(sat_conversion,[],[f995]) ).
cnf(s16,plain,
spl44_2,
inference(rat,[],[s5,s13,s14,s8]) ).
cnf(s18,plain,
~ spl44_8,
inference(rat,[],[s6,s16]) ).
cnf(s19,plain,
spl44_5,
inference(rat,[],[s4,s16]) ).
cnf(s20,plain,
spl44_3,
inference(rat,[],[s2,s16]) ).
cnf(s21,plain,
$false,
inference(rat,[],[s12,s18,s19,s20]) ).
tff(f996,plain,
$false,
inference(avatar_sat_refutation,[],[s21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWC542_1 : TPTP v9.3.1. Bugfixed v9.1.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Mon Sep 28 09:41:49 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.13 Running first-order theorem proving
% 0.09/0.13 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
% 1.78/0.64 % (3267444)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 1.78/0.64 % (3267450)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2211005419:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 1.78/0.64 % (3267449)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1548814853:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 1.78/0.64 % (3267451)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=183498213:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 1.78/0.64 % (3267452)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1396270257:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 1.78/0.64 % (3267455)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=448985240:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 1.78/0.64 % (3267453)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=705173793:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 1.78/0.64 % (3267454)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2512408788:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 1.78/0.64 % (3267453)Instruction limit reached!
% 1.78/0.64 % (3267453)------------------------------
% 1.78/0.64 % (3267453)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.78/0.64 % (3267453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.78/0.64 % (3267453)CaDiCaL version: 2.1.3
% 1.78/0.64 % (3267453)Termination reason: Instruction limit
% 1.78/0.64 % (3267453)Termination phase: Property scanning
% 1.78/0.64 % (3267453)Time elapsed: 0.002 s
% 1.78/0.64 % (3267453)Peak memory usage: 86 MB
% 1.78/0.64 % (3267453)Instructions burned: 6 (million)
% 1.78/0.64 % (3267452)Instruction limit reached!
% 1.78/0.64 % (3267452)------------------------------
% 1.78/0.64 % (3267452)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.78/0.64 % (3267452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.78/0.64 % (3267452)CaDiCaL version: 2.1.3
% 1.78/0.64 % (3267452)Termination reason: Instruction limit
% 1.78/0.64 % (3267452)Termination phase: Property scanning
% 1.78/0.64 % (3267452)Time elapsed: 0.003 s
% 1.78/0.64 % (3267452)Peak memory usage: 86 MB
% 1.78/0.64 % (3267452)Instructions burned: 10 (million)
% 1.78/0.64 % (3267449)Instruction limit reached!
% 1.78/0.64 % (3267449)------------------------------
% 1.78/0.64 % (3267449)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.78/0.64 % (3267449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.78/0.64 % (3267449)CaDiCaL version: 2.1.3
% 1.78/0.64 % (3267449)Termination reason: Instruction limit
% 1.78/0.64 % (3267449)Termination phase: Property scanning
% 1.78/0.64 % (3267449)Time elapsed: 0.004 s
% 1.78/0.64 % (3267449)Peak memory usage: 86 MB
% 1.78/0.64 % (3267449)Instructions burned: 15 (million)
% 1.78/0.64 % (3267455)Instruction limit reached!
% 1.78/0.64 % (3267455)------------------------------
% 1.78/0.64 % (3267455)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.78/0.64 % (3267455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.78/0.64 % (3267455)CaDiCaL version: 2.1.3
% 1.78/0.64 % (3267455)Termination reason: Instruction limit
% 1.78/0.64 % (3267455)Termination phase: Preprocessing 3
% 1.78/0.64 % (3267455)Time elapsed: 0.012 s
% 1.78/0.64 % (3267455)Peak memory usage: 88 MB
% 1.78/0.64 % (3267455)Instructions burned: 34 (million)
% 1.78/0.64 % (3267454)Instruction limit reached!
% 1.78/0.64 % (3267454)------------------------------
% 1.78/0.64 % (3267454)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.78/0.64 % (3267454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.78/0.64 % (3267454)CaDiCaL version: 2.1.3
% 1.78/0.64 % (3267454)Termination reason: Instruction limit
% 1.78/0.64 % (3267454)Termination phase: Property scanning
% 1.78/0.64 % (3267454)Time elapsed: 0.019 s
% 1.78/0.64 % (3267454)Peak memory usage: 89 MB
% 1.78/0.64 % (3267454)Instructions burned: 48 (million)
% 1.78/0.64 % (3267451)Instruction limit reached!
% 1.78/0.64 % (3267451)------------------------------
% 1.78/0.64 % (3267451)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.78/0.64 % (3267465)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=2210149980:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 2.29/0.75 % (3267464)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=3833247318:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 2.29/0.75 % (3267463)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=750777515:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.29/0.75 % (3267451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.75 % (3267451)CaDiCaL version: 2.1.3
% 2.29/0.75 % (3267451)Termination reason: Instruction limit
% 2.29/0.75 % (3267451)Termination phase: Saturation
% 2.29/0.75 % (3267451)Time elapsed: 0.087 s
% 2.29/0.75 % (3267451)Peak memory usage: 120 MB
% 2.29/0.75 % (3267451)Instructions burned: 201 (million)
% 2.29/0.75 % (3267463)Instruction limit reached!
% 2.29/0.75 % (3267463)------------------------------
% 2.29/0.75 % (3267463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.29/0.75 % (3267463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.75 % (3267463)CaDiCaL version: 2.1.3
% 2.29/0.75 % (3267463)Termination reason: Instruction limit
% 2.29/0.75 % (3267463)Termination phase: Preprocessing 3
% 2.29/0.75 % (3267463)Time elapsed: 0.007 s
% 2.29/0.75 % (3267463)Peak memory usage: 87 MB
% 2.29/0.75 % (3267463)Instructions burned: 19 (million)
% 2.29/0.75 % (3267465)Instruction limit reached!
% 2.29/0.75 % (3267465)------------------------------
% 2.29/0.75 % (3267465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.29/0.75 % (3267465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.75 % (3267465)CaDiCaL version: 2.1.3
% 2.29/0.75 % (3267465)Termination reason: Instruction limit
% 2.29/0.75 % (3267465)Termination phase: Preprocessing 3
% 2.29/0.75 % (3267465)Time elapsed: 0.007 s
% 2.29/0.75 % (3267465)Peak memory usage: 87 MB
% 2.29/0.75 % (3267465)Instructions burned: 19 (million)
% 2.29/0.75 % (3267466)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=4111144954:i=24:canc=force:rtra=on_2998 on theBenchmark for (2998ds/24Mi)
% 2.29/0.75 % (3267464)Instruction limit reached!
% 2.29/0.75 % (3267464)------------------------------
% 2.29/0.75 % (3267464)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.29/0.75 % (3267464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.75 % (3267464)CaDiCaL version: 2.1.3
% 2.29/0.75 % (3267464)Termination reason: Instruction limit
% 2.29/0.75 % (3267464)Termination phase: Preprocessing 3
% 2.29/0.75 % (3267464)Time elapsed: 0.011 s
% 2.29/0.75 % (3267464)Peak memory usage: 88 MB
% 2.29/0.75 % (3267464)Instructions burned: 31 (million)
% 2.29/0.75 % (3267466)Instruction limit reached!
% 2.29/0.75 % (3267466)------------------------------
% 2.29/0.75 % (3267466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.29/0.75 % (3267466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.75 % (3267466)CaDiCaL version: 2.1.3
% 2.29/0.75 % (3267466)Termination reason: Instruction limit
% 2.29/0.75 % (3267466)Termination phase: Preprocessing 3
% 2.29/0.75 % (3267466)Time elapsed: 0.008 s
% 2.29/0.75 % (3267466)Peak memory usage: 87 MB
% 2.29/0.75 % (3267466)Instructions burned: 24 (million)
% 2.29/0.75 % (3267450)Instruction limit reached!
% 2.29/0.75 % (3267450)------------------------------
% 2.29/0.75 % (3267450)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.29/0.75 % (3267450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.75 % (3267450)CaDiCaL version: 2.1.3
% 2.29/0.75 % (3267450)Termination reason: Instruction limit
% 2.29/0.75 % (3267450)Termination phase: Saturation
% 2.29/0.75 % (3267450)Time elapsed: 0.105 s
% 2.29/0.75 % (3267450)Peak memory usage: 120 MB
% 2.29/0.75 % (3267450)Instructions burned: 318 (million)
% 2.29/0.75 % (3267467)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=3103011229:i=27:canc=cautious:fsr=off:rtra=on_2998 on theBenchmark for (2998ds/27Mi)
% 2.29/0.75 % (3267467)Instruction limit reached!
% 2.29/0.75 % (3267467)------------------------------
% 2.29/0.75 % (3267467)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.29/0.75 % (3267467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.80 % (3267467)CaDiCaL version: 2.1.3
% 2.29/0.80 % (3267467)Termination reason: Instruction limit
% 2.29/0.80 % (3267467)Termination phase: Preprocessing 3
% 2.29/0.80 % (3267467)Time elapsed: 0.011 s
% 2.29/0.80 % (3267467)Peak memory usage: 88 MB
% 2.29/0.80 % (3267467)Instructions burned: 29 (million)
% 2.29/0.80 % (3267471)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=1383732637:i=85:gtgl=4:rtra=on:gtg=exists_sym_2998 on theBenchmark for (2998ds/85Mi)
% 2.29/0.80 % (3267475)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=2236806735:i=4:ep=RST:ins=2:rtra=on_2997 on theBenchmark for (2997ds/4Mi)
% 2.29/0.80 % (3267475)Instruction limit reached!
% 2.29/0.80 % (3267475)------------------------------
% 2.29/0.80 % (3267475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.29/0.80 % (3267475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.80 % (3267475)CaDiCaL version: 2.1.3
% 2.29/0.80 % (3267475)Termination reason: Instruction limit
% 2.29/0.80 % (3267475)Termination phase: Property scanning
% 2.29/0.80 % (3267475)Time elapsed: 0.002 s
% 2.29/0.80 % (3267475)Peak memory usage: 86 MB
% 2.29/0.80 % (3267475)Instructions burned: 4 (million)
% 2.29/0.80 % (3267474)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=2596290441:i=181:rtra=on:ss=axioms:ev=cautious_2998 on theBenchmark for (2998ds/181Mi)
% 2.29/0.80 % (3267473)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=2272550836:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2998 on theBenchmark for (2998ds/2Mi)
% 2.29/0.80 % (3267473)Instruction limit reached!
% 2.29/0.80 % (3267473)------------------------------
% 2.29/0.80 % (3267473)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.29/0.80 % (3267473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.80 % (3267473)CaDiCaL version: 2.1.3
% 2.29/0.80 % (3267473)Termination reason: Instruction limit
% 2.29/0.80 % (3267473)Termination phase: Property scanning
% 2.29/0.80 % (3267473)Time elapsed: 0.002 s
% 2.29/0.80 % (3267473)Peak memory usage: 86 MB
% 2.29/0.80 % (3267473)Instructions burned: 4 (million)
% 2.29/0.80 % (3267477)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=1368459906:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2997 on theBenchmark for (2997ds/66Mi)
% 3.45/0.80 % (3267478)lrs+10_1_thi=all:si=on:fd=off:random_seed=3285414091:i=53:rtra=on:gtg=all_2997 on theBenchmark for (2997ds/53Mi)
% 3.45/0.80 % (3267474)First to succeed.
% 3.45/0.80 % (3267471)Instruction limit reached!
% 3.45/0.80 % (3267471)------------------------------
% 3.45/0.80 % (3267471)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/0.80 % (3267471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/0.80 % (3267471)CaDiCaL version: 2.1.3
% 3.45/0.80 % (3267471)Termination reason: Instruction limit
% 3.45/0.80 % (3267471)Termination phase: Saturation
% 3.45/0.80 % (3267471)Time elapsed: 0.027 s
% 3.45/0.80 % (3267471)Peak memory usage: 91 MB
% 3.45/0.80 % (3267471)Instructions burned: 86 (million)
% 3.45/0.80 % (3267474)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3267444"
% 3.45/0.80 % (3267478)Instruction limit reached!
% 3.45/0.80 % (3267478)------------------------------
% 3.45/0.80 % (3267478)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/0.80 % (3267478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/0.80 % (3267478)CaDiCaL version: 2.1.3
% 3.45/0.80 % (3267478)Termination reason: Instruction limit
% 3.45/0.80 % (3267478)Termination phase: Property scanning
% 3.45/0.80 % (3267478)Time elapsed: 0.018 s
% 3.45/0.80 % (3267478)Peak memory usage: 89 MB
% 3.45/0.80 % (3267478)Instructions burned: 53 (million)
% 3.45/0.80 % (3267479)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=2656252191:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2997 on theBenchmark for (2997ds/8Mi)
% 3.45/0.80 % (3267479)Instruction limit reached!
% 3.45/0.80 % (3267479)------------------------------
% 3.45/0.80 % (3267479)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/0.80 % (3267479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/0.80 % (3267479)CaDiCaL version: 2.1.3
% 3.45/0.80 % (3267479)Termination reason: Instruction limit
% 3.45/0.80 % (3267479)Termination phase: Property scanning
% 3.45/0.80 % (3267479)Time elapsed: 0.003 s
% 3.45/0.80 % (3267479)Peak memory usage: 85 MB
% 3.45/0.80 % (3267479)Instructions burned: 9 (million)
% 3.45/0.80 % (3267477)Instruction limit reached!
% 3.45/0.80 % (3267477)------------------------------
% 3.45/0.80 % (3267477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/0.80 % (3267477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/0.80 % (3267477)CaDiCaL version: 2.1.3
% 3.45/0.80 % (3267477)Termination reason: Instruction limit
% 3.45/0.80 % (3267477)Termination phase: Saturation
% 3.45/0.80 % (3267477)Time elapsed: 0.034 s
% 3.45/0.80 % (3267477)Peak memory usage: 112 MB
% 3.45/0.80 % (3267477)Instructions burned: 66 (million)
% 3.45/0.80 % (3267484)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=1931197728:st=3:i=2:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/2Mi)
% 3.45/0.80 % (3267484)Instruction limit reached!
% 3.45/0.80 % (3267484)------------------------------
% 3.45/0.80 % (3267484)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/0.80 % (3267484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/0.80 % (3267484)CaDiCaL version: 2.1.3
% 3.45/0.80 % (3267484)Termination reason: Instruction limit
% 3.45/0.80 % (3267484)Termination phase: Property scanning
% 3.45/0.80 % (3267484)Time elapsed: 0.002 s
% 3.45/0.80 % (3267484)Peak memory usage: 86 MB
% 3.45/0.80 % (3267484)Instructions burned: 4 (million)
% 3.45/0.80 % (3267487)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=4248367882:i=2:doe=on:canc=force:asg=cautious:rtra=on_2997 on theBenchmark for (2997ds/2Mi)
% 3.45/0.80 % (3267487)Instruction limit reached!
% 3.45/0.80 % (3267487)------------------------------
% 3.45/0.80 % (3267487)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/0.80 % (3267487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/0.80 % (3267487)CaDiCaL version: 2.1.3
% 3.45/0.80 % (3267487)Termination reason: Instruction limit
% 3.45/0.80 % (3267487)Termination phase: Property scanning
% 3.45/0.80 % (3267487)Time elapsed: 0.002 s
% 3.45/0.80 % (3267487)Peak memory usage: 86 MB
% 3.45/0.80 % (3267487)Instructions burned: 4 (million)
% 3.45/0.80 % (3267488)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=1926381535:i=127:doe=on:rtra=on_2996 on theBenchmark for (2996ds/127Mi)
% 3.45/0.80 % (3267489)dis+10_1_si=on:random_seed=675878173:i=10:ep=R:rtra=on_2996 on theBenchmark for (2996ds/10Mi)
% 3.45/0.80 % (3267491)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=1703694661:i=26:canc=cautious:av=off:rtra=on_2996 on theBenchmark for (2996ds/26Mi)
% 3.45/0.80 % (3267489)Instruction limit reached!
% 3.45/0.80 % (3267489)------------------------------
% 3.45/0.80 % (3267489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/0.80 % (3267489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/0.80 % (3267489)CaDiCaL version: 2.1.3
% 3.45/0.80 % (3267489)Termination reason: Instruction limit
% 3.45/0.80 % (3267489)Termination phase: Preprocessing 1
% 3.45/0.80 % (3267489)Time elapsed: 0.004 s
% 3.45/0.80 % (3267489)Peak memory usage: 86 MB
% 3.45/0.80 % (3267489)Instructions burned: 13 (million)
% 3.45/0.80 % (3267492)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=3163274025: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_2996 on theBenchmark for (2996ds/35Mi)
% 3.45/0.80 % (3267491)Instruction limit reached!
% 3.45/0.80 % (3267491)------------------------------
% 3.45/0.80 % (3267491)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/0.80 % (3267491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/0.80 % (3267491)CaDiCaL version: 2.1.3
% 3.45/0.80 % (3267491)Termination reason: Instruction limit
% 3.45/0.80 % (3267491)Termination phase: Preprocessing 3
% 3.45/0.80 % (3267491)Time elapsed: 0.009 s
% 3.45/0.80 % (3267491)Peak memory usage: 88 MB
% 3.45/0.80 % (3267491)Instructions burned: 27 (million)
% 3.45/0.80 % (3267492)Instruction limit reached!
% 3.45/0.80 % (3267492)------------------------------
% 3.45/0.80 % (3267492)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/0.80 % (3267492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/0.80 % (3267492)CaDiCaL version: 2.1.3
% 3.45/0.80 % (3267492)Termination reason: Instruction limit
% 3.45/0.80 % (3267492)Termination phase: Preprocessing 3
% 3.45/0.80 % (3267492)Time elapsed: 0.013 s
% 3.45/0.80 % (3267492)Peak memory usage: 89 MB
% 3.45/0.80 % (3267492)Instructions burned: 36 (million)
% 3.45/0.80 % (3267488)Instruction limit reached!
% 3.45/0.80 % (3267488)------------------------------
% 3.45/0.80 % (3267488)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/0.80 % (3267488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/0.80 % (3267488)CaDiCaL version: 2.1.3
% 3.45/0.80 % (3267488)Termination reason: Instruction limit
% 3.45/0.80 % (3267488)Termination phase: Saturation
% 3.45/0.80 % (3267488)Time elapsed: 0.060 s
% 3.45/0.80 % (3267488)Peak memory usage: 120 MB
% 3.45/0.80 % (3267488)Instructions burned: 129 (million)
% 3.45/0.80 % (3267496)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=492902056:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2996 on theBenchmark for (2996ds/8Mi)
% 3.45/0.80 % (3267496)Instruction limit reached!
% 3.45/0.80 % (3267496)------------------------------
% 3.45/0.80 % (3267496)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/0.80 % (3267496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/0.80 % (3267496)CaDiCaL version: 2.1.3
% 3.45/0.80 % (3267496)Termination reason: Instruction limit
% 3.45/0.80 % (3267496)Termination phase: Property scanning
% 3.45/0.80 % (3267496)Time elapsed: 0.003 s
% 3.45/0.80 % (3267496)Peak memory usage: 86 MB
% 3.45/0.80 % (3267496)Instructions burned: 9 (million)
% 3.45/0.80 % (3267495)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=829476571:i=2:fsr=off:rtra=on:inst=on_2996 on theBenchmark for (2996ds/2Mi)
% 3.45/0.80 % (3267495)Instruction limit reached!
% 3.45/0.80 % (3267495)------------------------------
% 3.45/0.80 % (3267495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/0.80 % (3267495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/0.80 % (3267495)CaDiCaL version: 2.1.3
% 3.45/0.80 % (3267495)Termination reason: Instruction limit
% 3.45/0.80 % (3267495)Termination phase: Property scanning
% 3.45/0.80 % (3267495)Time elapsed: 0.002 s
% 3.45/0.80 % (3267495)Peak memory usage: 86 MB
% 3.45/0.80 % (3267495)Instructions burned: 4 (million)
% 3.45/0.80 % (3267474)Refutation found. Thanks to Tanya!
% 3.45/0.80 % SZS status Theorem for theBenchmark
% 3.45/0.80 % SZS output start Proof for theBenchmark
% See solution above
% 3.45/0.89 % (3267474)------------------------------
% 3.45/0.89 % (3267474)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/0.89 % (3267474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/0.89 % (3267474)CaDiCaL version: 2.1.3
% 3.45/0.89 % (3267474)Termination reason: Refutation
% 3.45/0.89 % (3267474)Time elapsed: 0.014 s
% 3.45/0.89 % (3267474)Peak memory usage: 91 MB
% 3.45/0.89 % (3267474)Instructions burned: 36 (million)
% 3.45/0.89 % (3267474)------------------------------
% 3.45/0.89 % (3267474)------------------------------
% 3.45/0.89 % (3267444)Success in time 0.475 s
% 3.45/0.89 % Vampire exiting
%------------------------------------------------------------------------------