%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC535_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 : n006.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 01:04:12 PM UTC 2026
% Result : Theorem 4.58s 1.45s
% Output : Refutation 5.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of formulae : 51 ( 9 unt; 0 typ; 5 def)
% Number of atoms : 132 ( 27 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 150 ( 69 ~; 51 |; 20 &)
% ( 9 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 54 ( 0 atm; 0 fun; 0 num; 54 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 : 21 ( 19 usr; 6 prp; 0-4 aty)
% Number of functors : 396 ( 396 usr; 377 con; 0-2 aty)
% Number of variables : 54 ( 0 sgn 33 !; 21 ?; 54 :)
% 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,
divB: ( $int * $int ) > $int ).
tff(func_def_8,type,
iexp: ( $int * $int ) > $int ).
tff(func_def_12,type,
g_s0_0: set_0 ).
tff(func_def_13,type,
set_2_empty: set_2 ).
tff(func_def_14,type,
set_2_insert: set_2 > set_2 ).
tff(func_def_15,type,
g_s1_1: set_0 ).
tff(func_def_16,type,
g_s2_2: set_0 ).
tff(func_def_17,type,
g_s3_3: set_0 ).
tff(func_def_18,type,
g_s4_4: set_0 ).
tff(func_def_19,type,
g_s5_5: set_0 ).
tff(func_def_20,type,
g_s6_6: set_0 ).
tff(func_def_21,type,
g_s7_7: set_0 ).
tff(func_def_22,type,
g_s8_8: set_0 ).
tff(func_def_23,type,
g_s9_9: $int ).
tff(func_def_24,type,
g_s10_10: $int ).
tff(func_def_25,type,
g_s11_11: set_0 ).
tff(func_def_26,type,
g_s12_12: $int ).
tff(func_def_27,type,
g_s13_13: $int ).
tff(func_def_28,type,
g_s14_14: $int ).
tff(func_def_29,type,
g_s15_15: $int ).
tff(func_def_30,type,
g_s16_16: $int ).
tff(func_def_31,type,
g_s17_17: set_0 ).
tff(func_def_32,type,
g_s18_18: $int ).
tff(func_def_33,type,
g_s19_19: $int ).
tff(func_def_34,type,
g_s20_20: $int ).
tff(func_def_35,type,
g_s21_21: $int ).
tff(func_def_36,type,
g_s22_22: set_0 ).
tff(func_def_37,type,
g_s23_23: $int ).
tff(func_def_38,type,
g_s24_24: $int ).
tff(func_def_39,type,
g_s25_25: $int ).
tff(func_def_40,type,
g_s26_26: set_0 ).
tff(func_def_41,type,
g_s27_27: $int ).
tff(func_def_42,type,
g_s28_28: $int ).
tff(func_def_43,type,
g_s29_29: $int ).
tff(func_def_44,type,
g_s30_30: set_0 ).
tff(func_def_45,type,
g_s31_31: $int ).
tff(func_def_46,type,
g_s32_32: $int ).
tff(func_def_47,type,
g_s33_33: $int ).
tff(func_def_48,type,
g_s34_34: set_0 ).
tff(func_def_49,type,
g_s35_35: $int ).
tff(func_def_50,type,
g_s36_36: $int ).
tff(func_def_51,type,
g_s37_37: $int ).
tff(func_def_52,type,
g_s38_38: $int ).
tff(func_def_53,type,
g_s39_39: set_0 ).
tff(func_def_54,type,
g_s40_40: $int ).
tff(func_def_55,type,
g_s41_41: $int ).
tff(func_def_56,type,
g_s42_42: $int ).
tff(func_def_57,type,
g_s43_43: $int ).
tff(func_def_58,type,
g_s44_44: $int ).
tff(func_def_59,type,
g_s45_45: $int ).
tff(func_def_60,type,
g_s46_46: $int ).
tff(func_def_61,type,
g_s47_47: $int ).
tff(func_def_62,type,
g_s48_48: set_0 ).
tff(func_def_63,type,
g_s49_49: $int ).
tff(func_def_64,type,
g_s50_50: $int ).
tff(func_def_65,type,
g_s51_51: $int ).
tff(func_def_66,type,
g_s52_52: $int ).
tff(func_def_67,type,
g_s53_53: set_0 ).
tff(func_def_68,type,
g_s54_54: $int ).
tff(func_def_69,type,
g_s55_55: $int ).
tff(func_def_70,type,
g_s56_56: $int ).
tff(func_def_71,type,
g_s57_57: $int ).
tff(func_def_72,type,
g_s58_58: $int ).
tff(func_def_73,type,
g_s59_59: $int ).
tff(func_def_74,type,
g_s60_60: $int ).
tff(func_def_75,type,
g_s61_61: $int ).
tff(func_def_76,type,
g_s62_62: set_0 ).
tff(func_def_77,type,
g_s63_63: $int ).
tff(func_def_78,type,
g_s64_64: $int ).
tff(func_def_79,type,
g_s65_65: $int ).
tff(func_def_80,type,
g_s66_66: set_0 ).
tff(func_def_81,type,
g_s67_67: $int ).
tff(func_def_82,type,
g_s68_68: $int ).
tff(func_def_83,type,
g_s69_69: $int ).
tff(func_def_84,type,
g_s70_70: set_0 ).
tff(func_def_85,type,
g_s71_71: $int ).
tff(func_def_86,type,
g_s72_72: $int ).
tff(func_def_87,type,
g_s73_73: $int ).
tff(func_def_88,type,
g_s74_74: set_0 ).
tff(func_def_89,type,
g_s75_75: $int ).
tff(func_def_90,type,
g_s76_76: $int ).
tff(func_def_91,type,
g_s77_77: set_0 ).
tff(func_def_92,type,
g_s78_78: $int ).
tff(func_def_93,type,
g_s79_79: $int ).
tff(func_def_94,type,
g_s80_80: set_0 ).
tff(func_def_95,type,
g_s81_81: $int ).
tff(func_def_96,type,
g_s82_82: $int ).
tff(func_def_97,type,
g_s83_83: $int ).
tff(func_def_98,type,
g_s84_84: set_0 ).
tff(func_def_99,type,
g_s85_85: $int ).
tff(func_def_100,type,
g_s86_86: $int ).
tff(func_def_101,type,
g_s87_87: set_0 ).
tff(func_def_102,type,
g_s88_88: $int ).
tff(func_def_103,type,
g_s89_89: $int ).
tff(func_def_104,type,
g_s90_90: $int ).
tff(func_def_105,type,
g_s91_91: set_0 ).
tff(func_def_106,type,
g_s92_92: set_0 ).
tff(func_def_107,type,
g_s93_93: set_0 ).
tff(func_def_108,type,
g_s94_94: set_0 ).
tff(func_def_109,type,
g_s95_95: set_0 ).
tff(func_def_110,type,
g_s96_96: set_0 ).
tff(func_def_111,type,
g_s97_97: $int ).
tff(func_def_112,type,
g_s98_98: $int ).
tff(func_def_113,type,
g_s99_99: $int ).
tff(func_def_114,type,
g_s100_100: set_0 ).
tff(func_def_115,type,
g_s101_101: set_0 ).
tff(func_def_116,type,
set_3_empty: set_3 ).
tff(func_def_117,type,
set_3_insert: set_3 > set_3 ).
tff(func_def_118,type,
g_s102_102: set_3 ).
tff(func_def_119,type,
set_4_empty: set_4 ).
tff(func_def_120,type,
set_4_insert: set_4 > set_4 ).
tff(func_def_121,type,
g_s105_103: set_4 ).
tff(func_def_122,type,
g_s106_104: set_0 ).
tff(func_def_123,type,
g_s107_105: set_0 ).
tff(func_def_124,type,
g_s108_106: set_0 ).
tff(func_def_125,type,
g_s109_107: $int ).
tff(func_def_126,type,
g_s110_108: $int ).
tff(func_def_127,type,
g_s111_109: set_0 ).
tff(func_def_128,type,
g_s112_110: set_0 ).
tff(func_def_129,type,
g_s113_111: $int ).
tff(func_def_130,type,
g_s114_112: $int ).
tff(func_def_131,type,
g_s115_113: set_2 ).
tff(func_def_132,type,
g_s116_114: $int ).
tff(func_def_133,type,
g_s117_115: set_0 ).
tff(func_def_134,type,
g_s118_116: $int ).
tff(func_def_135,type,
g_s119_117: $int ).
tff(func_def_136,type,
g_s120_118: set_2 ).
tff(func_def_137,type,
g_s121_119: $int ).
tff(func_def_138,type,
g_s122_120: set_3 ).
tff(func_def_139,type,
g_s123_121: set_0 ).
tff(func_def_140,type,
g_s124_122: set_3 ).
tff(func_def_141,type,
g_s125_123: set_3 ).
tff(func_def_142,type,
g_s126_124: set_3 ).
tff(func_def_143,type,
set_5_empty: set_5 ).
tff(func_def_144,type,
set_5_insert: set_5 > set_5 ).
tff(func_def_145,type,
g_s127_125: set_5 ).
tff(func_def_146,type,
g_s128_126: set_5 ).
tff(func_def_147,type,
g_s129_127: set_5 ).
tff(func_def_148,type,
g_s130_128: set_5 ).
tff(func_def_149,type,
g_s131_129: set_5 ).
tff(func_def_150,type,
g_s132_130: set_2 ).
tff(func_def_151,type,
g_s133_131: set_2 ).
tff(func_def_152,type,
g_s134_132: set_3 ).
tff(func_def_153,type,
g_s135_133: set_3 ).
tff(func_def_154,type,
g_s136_134: set_3 ).
tff(func_def_155,type,
g_s137_135: set_3 ).
tff(func_def_156,type,
g_s138_136: set_2 ).
tff(func_def_157,type,
g_s139_137: set_2 ).
tff(func_def_158,type,
g_s140_138: set_3 ).
tff(func_def_159,type,
g_s141_139: set_3 ).
tff(func_def_160,type,
g_s142_140: set_3 ).
tff(func_def_161,type,
g_s143_141: set_3 ).
tff(func_def_162,type,
g_s144_142: set_3 ).
tff(func_def_163,type,
g_s145_143: set_3 ).
tff(func_def_164,type,
g_s148_144: set_0 ).
tff(func_def_165,type,
g_s149_145: set_0 ).
tff(func_def_166,type,
g_s150_146: $int ).
tff(func_def_167,type,
g_s151_147: set_0 ).
tff(func_def_168,type,
g_s152_148: set_0 ).
tff(func_def_169,type,
g_s153_149: $int ).
tff(func_def_170,type,
g_s154_150: set_0 ).
tff(func_def_171,type,
g_s155_151: set_0 ).
tff(func_def_172,type,
g_s156_152: $int ).
tff(func_def_173,type,
g_s157_153: set_0 ).
tff(func_def_174,type,
g_s158_154: set_0 ).
tff(func_def_175,type,
g_s159_155: $int ).
tff(func_def_176,type,
g_s160_156: $int ).
tff(func_def_177,type,
g_s161_157: $int ).
tff(func_def_178,type,
g_s162_158: set_0 ).
tff(func_def_179,type,
g_s163_159: set_0 ).
tff(func_def_180,type,
g_s164_160: $int ).
tff(func_def_181,type,
g_s165_161: $int ).
tff(func_def_182,type,
g_s166_162: $int ).
tff(func_def_183,type,
g_s167_163: set_2 ).
tff(func_def_184,type,
g_s168_164: set_2 ).
tff(func_def_185,type,
g_s169_165: set_0 ).
tff(func_def_186,type,
g_s170_166: $int ).
tff(func_def_187,type,
g_s171_167: set_2 ).
tff(func_def_188,type,
g_s172_168: set_0 ).
tff(func_def_189,type,
g_s173_169: $int ).
tff(func_def_190,type,
g_s174_170: set_2 ).
tff(func_def_191,type,
g_s175_171: set_0 ).
tff(func_def_192,type,
g_s176_172: $int ).
tff(func_def_193,type,
g_s177_173: set_2 ).
tff(func_def_194,type,
g_s178_174: set_0 ).
tff(func_def_195,type,
g_s179_175: set_2 ).
tff(func_def_196,type,
g_s180_176: set_2 ).
tff(func_def_197,type,
g_s181_177: set_2 ).
tff(func_def_198,type,
g_s182_178: set_2 ).
tff(func_def_199,type,
g_s183_179: set_0 ).
tff(func_def_200,type,
g_s184_180: set_0 ).
tff(func_def_201,type,
g_s185_181: $int ).
tff(func_def_202,type,
g_s186_182: set_2 ).
tff(func_def_203,type,
g_s187_183: set_0 ).
tff(func_def_204,type,
g_s188_184: $int ).
tff(func_def_205,type,
g_s189_185: set_2 ).
tff(func_def_206,type,
g_s190_186: set_2 ).
tff(func_def_207,type,
g_s191_187: set_2 ).
tff(func_def_208,type,
g_s192_188: set_0 ).
tff(func_def_209,type,
g_s193_189: set_0 ).
tff(func_def_210,type,
g_s194_190: $int ).
tff(func_def_211,type,
g_s195_191: $int ).
tff(func_def_212,type,
g_s196_192: set_0 ).
tff(func_def_213,type,
g_s197_193: set_0 ).
tff(func_def_214,type,
g_s198_194: set_2 ).
tff(func_def_215,type,
g_s199_195: $int ).
tff(func_def_216,type,
g_s200_196: $int ).
tff(func_def_217,type,
g_s201_197: $int ).
tff(func_def_218,type,
g_s202_198: $int ).
tff(func_def_219,type,
g_s203_199: $int ).
tff(func_def_220,type,
g_s204_200: $int ).
tff(func_def_221,type,
g_s205_201: $int ).
tff(func_def_222,type,
g_s206_202: $int ).
tff(func_def_223,type,
g_s207_203: $int ).
tff(func_def_224,type,
g_s208_204: $int ).
tff(func_def_225,type,
g_s209_205: $int ).
tff(func_def_226,type,
g_s210_206: $int ).
tff(func_def_227,type,
g_s211_207: $int ).
tff(func_def_228,type,
g_s212_208: $int ).
tff(func_def_229,type,
g_s213_209: $int ).
tff(func_def_230,type,
g_s214_210: $int ).
tff(func_def_231,type,
g_s215_211: $int ).
tff(func_def_232,type,
g_s216_212: $int ).
tff(func_def_233,type,
g_s217_213: $int ).
tff(func_def_234,type,
g_s218_214: $int ).
tff(func_def_235,type,
g_s219_215: $int ).
tff(func_def_236,type,
g_s220_216: $int ).
tff(func_def_237,type,
g_s221_217: $int ).
tff(func_def_238,type,
g_s222_218: $int ).
tff(func_def_239,type,
g_s223_219: $int ).
tff(func_def_240,type,
g_s224_220: $int ).
tff(func_def_241,type,
g_s225_221: $int ).
tff(func_def_242,type,
g_s226_222: $int ).
tff(func_def_243,type,
g_s227_223: $int ).
tff(func_def_244,type,
g_s228_224: $int ).
tff(func_def_245,type,
g_s229_225: $int ).
tff(func_def_246,type,
g_s230_226: $int ).
tff(func_def_247,type,
g_s231_227: $int ).
tff(func_def_248,type,
g_s232_228: $int ).
tff(func_def_249,type,
g_s233_229: $int ).
tff(func_def_250,type,
g_s234_230: $int ).
tff(func_def_251,type,
g_s235_231: $int ).
tff(func_def_252,type,
g_s236_232: $int ).
tff(func_def_253,type,
g_s237_233: $int ).
tff(func_def_254,type,
g_s238_234: $int ).
tff(func_def_255,type,
g_s239_235: $int ).
tff(func_def_256,type,
g_s240_236: set_0 ).
tff(func_def_257,type,
g_s241_237: set_2 ).
tff(func_def_258,type,
g_s242_238: set_3 ).
tff(func_def_259,type,
g_s243_239: set_2 ).
tff(func_def_260,type,
g_s244_240: set_2 ).
tff(func_def_261,type,
g_s245_241: set_2 ).
tff(func_def_262,type,
g_s246_242: set_0 ).
tff(func_def_263,type,
g_s247_243: set_2 ).
tff(func_def_264,type,
set_6_empty: set_6 ).
tff(func_def_265,type,
set_6_insert: set_6 > set_6 ).
tff(func_def_266,type,
g_s248_244: set_6 ).
tff(func_def_267,type,
g_s249_245: set_0 ).
tff(func_def_268,type,
g_s250_246: set_2 ).
tff(func_def_269,type,
g_s252_247: set_2 ).
tff(func_def_270,type,
g_s253_248: set_0 ).
tff(func_def_271,type,
g_s254_249: set_0 ).
tff(func_def_272,type,
g_s255_250: set_2 ).
tff(func_def_273,type,
g_s256_251: set_0 ).
tff(func_def_274,type,
g_s257_252: set_2 ).
tff(func_def_275,type,
g_s258_253: set_0 ).
tff(func_def_276,type,
g_s259_254: set_0 ).
tff(func_def_277,type,
g_s260_255: set_2 ).
tff(func_def_278,type,
g_s261_256: set_0 ).
tff(func_def_279,type,
g_s262_257: set_0 ).
tff(func_def_280,type,
g_s263_258: set_2 ).
tff(func_def_281,type,
g_s264_259: set_0 ).
tff(func_def_282,type,
g_s265_260: set_0 ).
tff(func_def_283,type,
g_s266_261: set_2 ).
tff(func_def_284,type,
g_s267_262: set_0 ).
tff(func_def_285,type,
g_s268_263: set_2 ).
tff(func_def_286,type,
g_s269_264: set_0 ).
tff(func_def_287,type,
g_s270_265: set_2 ).
tff(func_def_288,type,
g_s271_266: set_0 ).
tff(func_def_289,type,
g_s272_267: set_0 ).
tff(func_def_290,type,
g_s273_268: $int ).
tff(func_def_291,type,
set_7_empty: set_7 ).
tff(func_def_292,type,
set_7_insert: set_7 > set_7 ).
tff(func_def_293,type,
g_s275_269: set_7 ).
tff(func_def_294,type,
g_s276_270: set_7 ).
tff(func_def_295,type,
g_s278_271: set_2 ).
tff(func_def_296,type,
g_s279_272: set_7 ).
tff(func_def_297,type,
g_s280_273: set_2 ).
tff(func_def_298,type,
g_s281_274: set_0 ).
tff(func_def_299,type,
g_s282_275: set_0 ).
tff(func_def_300,type,
g_s283_276: set_0 ).
tff(func_def_301,type,
g_s284_277: set_0 ).
tff(func_def_302,type,
g_s285_278: set_0 ).
tff(func_def_303,type,
g_s286_279: set_2 ).
tff(func_def_304,type,
g_s287_280: set_2 ).
tff(func_def_305,type,
g_s288_281: set_2 ).
tff(func_def_306,type,
g_s289_282: set_2 ).
tff(func_def_307,type,
g_s290_283: set_2 ).
tff(func_def_308,type,
g_s291_284: set_2 ).
tff(func_def_309,type,
g_s292_285: set_2 ).
tff(func_def_310,type,
g_s293_286: set_2 ).
tff(func_def_311,type,
g_s294_287: set_0 ).
tff(func_def_312,type,
g_s295_288: set_2 ).
tff(func_def_313,type,
g_s296_289: set_2 ).
tff(func_def_314,type,
g_s297_290: set_0 ).
tff(func_def_315,type,
g_s298_291: set_0 ).
tff(func_def_316,type,
g_s299_292: set_0 ).
tff(func_def_317,type,
g_s300_293: set_0 ).
tff(func_def_318,type,
g_s301_294: set_0 ).
tff(func_def_319,type,
g_s302_295: set_0 ).
tff(func_def_320,type,
g_s303_296: set_0 ).
tff(func_def_321,type,
g_s304_297: set_0 ).
tff(func_def_322,type,
g_s305_298: set_2 ).
tff(func_def_323,type,
g_s306_299: set_0 ).
tff(func_def_324,type,
g_s307_300: set_2 ).
tff(func_def_325,type,
g_s308_301: set_0 ).
tff(func_def_326,type,
g_s309_302: set_0 ).
tff(func_def_327,type,
g_s310_303: set_0 ).
tff(func_def_328,type,
g_s311_304: $int ).
tff(func_def_329,type,
g_s312_305: set_2 ).
tff(func_def_330,type,
g_s313_306: set_2 ).
tff(func_def_331,type,
g_s314_307: set_2 ).
tff(func_def_332,type,
g_s315_308: set_2 ).
tff(func_def_333,type,
g_s316_309: set_2 ).
tff(func_def_334,type,
g_s317_310: set_2 ).
tff(func_def_335,type,
g_s318_311: set_2 ).
tff(func_def_336,type,
g_s319_312: set_2 ).
tff(func_def_337,type,
g_s320_313: set_2 ).
tff(func_def_338,type,
g_s321_314: set_0 ).
tff(func_def_339,type,
g_s322_315: set_2 ).
tff(func_def_340,type,
g_s323_316: set_2 ).
tff(func_def_341,type,
g_s324_317: set_0 ).
tff(func_def_342,type,
g_s325_318: set_0 ).
tff(func_def_343,type,
g_s326_319: set_0 ).
tff(func_def_344,type,
g_s327_320: set_0 ).
tff(func_def_345,type,
g_s328_321: set_0 ).
tff(func_def_346,type,
g_s329_322: set_0 ).
tff(func_def_347,type,
g_s330_323: set_0 ).
tff(func_def_348,type,
g_s331_324: set_0 ).
tff(func_def_349,type,
g_s332_325: set_2 ).
tff(func_def_350,type,
g_s333_326: set_0 ).
tff(func_def_351,type,
g_s334_327: set_0 ).
tff(func_def_352,type,
g_s335_328: set_0 ).
tff(func_def_353,type,
g_s336_329: set_2 ).
tff(func_def_354,type,
g_s337_330: set_2 ).
tff(func_def_355,type,
g_s338_331: set_0 ).
tff(func_def_356,type,
g_s312_1_332: set_2 ).
tff(func_def_357,type,
g_s313_1_333: set_2 ).
tff(func_def_358,type,
g_s314_1_334: set_2 ).
tff(func_def_359,type,
g_s315_1_335: set_2 ).
tff(func_def_360,type,
g_s316_1_336: set_2 ).
tff(func_def_361,type,
g_s317_1_337: set_2 ).
tff(func_def_362,type,
g_s318_1_338: set_2 ).
tff(func_def_363,type,
g_s319_1_339: set_2 ).
tff(func_def_364,type,
g_s320_1_340: set_2 ).
tff(func_def_365,type,
g_s321_1_341: set_0 ).
tff(func_def_366,type,
g_s322_1_342: set_2 ).
tff(func_def_367,type,
g_s323_1_343: set_2 ).
tff(func_def_368,type,
g_s324_1_344: set_0 ).
tff(func_def_369,type,
g_s325_1_345: set_0 ).
tff(func_def_370,type,
g_s326_1_346: set_0 ).
tff(func_def_371,type,
g_s327_1_347: set_0 ).
tff(func_def_372,type,
g_s328_1_348: set_0 ).
tff(func_def_373,type,
g_s329_1_349: set_0 ).
tff(func_def_374,type,
g_s330_1_350: set_0 ).
tff(func_def_375,type,
g_s331_1_351: set_0 ).
tff(func_def_376,type,
g_s332_1_352: set_2 ).
tff(func_def_377,type,
g_s333_1_353: set_0 ).
tff(func_def_378,type,
g_s334_1_354: set_0 ).
tff(func_def_379,type,
g_s335_1_355: set_0 ).
tff(func_def_380,type,
g_s336_1_356: set_2 ).
tff(func_def_381,type,
g_s337_1_357: set_2 ).
tff(func_def_382,type,
g_s338_1_358: set_0 ).
tff(func_def_383,type,
g_s339_1_359: $int ).
tff(func_def_384,type,
g_s343_360: $int ).
tff(func_def_388,type,
bG0: $o > $o ).
tff(func_def_389,type,
bG1: $o > $o ).
tff(func_def_390,type,
bG2: $o > $o ).
tff(func_def_391,type,
bG3: $o > $o ).
tff(func_def_392,type,
bG4: $o > $o ).
tff(func_def_393,type,
bG5: $o > $o ).
tff(func_def_394,type,
bG6: $o > $o ).
tff(func_def_395,type,
sK7: $int > $int ).
tff(func_def_396,type,
sK8: $int > $int ).
tff(func_def_397,type,
sK9: $int > $int ).
tff(func_def_398,type,
sK10: $int > $int ).
tff(func_def_399,type,
sK11: $int > $int ).
tff(func_def_400,type,
sK12: $int > $int ).
tff(func_def_401,type,
sK13: $int ).
tff(func_def_402,type,
sK14: set_2 ).
tff(func_def_403,type,
sK15: $int ).
tff(func_def_404,type,
sK16: set_2 ).
tff(func_def_405,type,
sK17: $int > $int ).
tff(func_def_406,type,
sK18: $int > $int ).
tff(func_def_407,type,
sK19: $int ).
tff(func_def_408,type,
sK20: $int ).
tff(func_def_409,type,
sK21: $int ).
tff(func_def_410,type,
sK22: $int > $int ).
tff(func_def_411,type,
sK23: $int > $int ).
tff(func_def_412,type,
sK24: $int ).
tff(func_def_413,type,
sK25: $int > $int ).
tff(pred_def_1,type,
mem0: ( $int * set_0 ) > $o ).
tff(pred_def_5,type,
mem2: ( $int * $int * set_2 ) > $o ).
tff(pred_def_6,type,
mem3: ( $int * $int * $int * set_3 ) > $o ).
tff(pred_def_7,type,
mem4: ( $o * $int * set_4 ) > $o ).
tff(pred_def_8,type,
mem5: ( $int * $int * set_0 * set_5 ) > $o ).
tff(pred_def_9,type,
mem6: ( $int * set_0 * set_6 ) > $o ).
tff(pred_def_10,type,
mem7: ( $int * set_2 * set_7 ) > $o ).
tff(f394,axiom,
! [X0: $int] :
( ? [X1: $int] : mem2(X0,X1,g_s312_1_332)
<=> ? [X2: $int] : mem2(X0,X2,g_s314_1_334) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Define:inv:57') ).
tff(f452,conjecture,
! [X0: $int] :
( ? [X2: $int] :
( ( X0 != g_s343_360 )
& mem2(X0,X2,g_s314_1_334) )
<=> ? [X1: $int] :
( ( X0 != g_s343_360 )
& mem2(X0,X1,g_s312_1_332) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Goal') ).
tff(f453,negated_conjecture,
~ ! [X0: $int] :
( ? [X2: $int] :
( ( X0 != g_s343_360 )
& mem2(X0,X2,g_s314_1_334) )
<=> ? [X1: $int] :
( ( X0 != g_s343_360 )
& mem2(X0,X1,g_s312_1_332) ) ),
inference(negated_conjecture,[status(cth)],[f452]) ).
tff(f567,plain,
~ ! [X0: $int] :
( ? [X2: $int] :
( mem2(X0,X2,g_s312_1_332)
& ( X0 != g_s343_360 ) )
<=> ? [X1: $int] :
( ( X0 != g_s343_360 )
& mem2(X0,X1,g_s314_1_334) ) ),
inference(rectify,[],[f453]) ).
tff(f594,plain,
? [X0: $int] :
( ? [X1: $int] :
( ( X0 != g_s343_360 )
& mem2(X0,X1,g_s314_1_334) )
<~> ? [X2: $int] :
( mem2(X0,X2,g_s312_1_332)
& ( X0 != g_s343_360 ) ) ),
inference(ennf_transformation,[],[f567]) ).
tff(f607,plain,
! [X0: $int] :
( ( ? [X1: $int] : mem2(X0,X1,g_s312_1_332)
| ! [X2: $int] : ~ mem2(X0,X2,g_s314_1_334) )
& ( ? [X2: $int] : mem2(X0,X2,g_s314_1_334)
| ! [X1: $int] : ~ mem2(X0,X1,g_s312_1_332) ) ),
inference(nnf_transformation,[],[f394]) ).
tff(f608,plain,
! [X0: $int] :
( ( ? [X1: $int] : mem2(X0,X1,g_s312_1_332)
| ! [X2: $int] : ~ mem2(X0,X2,g_s314_1_334) )
& ( ? [X3: $int] : mem2(X0,X3,g_s314_1_334)
| ! [X4: $int] : ~ mem2(X0,X4,g_s312_1_332) ) ),
inference(rectify,[],[f607]) ).
tff(f609,plain,
! [X0: $int] :
( ( mem2(X0,sK7(X0),g_s312_1_332)
| ! [X2: $int] : ~ mem2(X0,X2,g_s314_1_334) )
& ( mem2(X0,sK8(X0),g_s314_1_334)
| ! [X4: $int] : ~ mem2(X0,X4,g_s312_1_332) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8]),skolemize(X1,sK7(X0)),skolemize(X3,sK8(X0))],[f608]) ).
tff(f628,plain,
? [X0: $int] :
( ( ! [X2: $int] :
( ~ mem2(X0,X2,g_s312_1_332)
| ( g_s343_360 = X0 ) )
| ! [X1: $int] :
( ( g_s343_360 = X0 )
| ~ mem2(X0,X1,g_s314_1_334) ) )
& ( ? [X2: $int] :
( mem2(X0,X2,g_s312_1_332)
& ( X0 != g_s343_360 ) )
| ? [X1: $int] :
( ( X0 != g_s343_360 )
& mem2(X0,X1,g_s314_1_334) ) ) ),
inference(nnf_transformation,[],[f594]) ).
tff(f629,plain,
? [X0: $int] :
( ( ! [X1: $int] :
( ~ mem2(X0,X1,g_s312_1_332)
| ( g_s343_360 = X0 ) )
| ! [X2: $int] :
( ( g_s343_360 = X0 )
| ~ mem2(X0,X2,g_s314_1_334) ) )
& ( ? [X3: $int] :
( mem2(X0,X3,g_s312_1_332)
& ( X0 != g_s343_360 ) )
| ? [X4: $int] :
( ( X0 != g_s343_360 )
& mem2(X0,X4,g_s314_1_334) ) ) ),
inference(rectify,[],[f628]) ).
tff(f630,plain,
( ( ! [X1: $int] :
( ~ mem2(sK19,X1,g_s312_1_332)
| ( g_s343_360 = sK19 ) )
| ! [X2: $int] :
( ( g_s343_360 = sK19 )
| ~ mem2(sK19,X2,g_s314_1_334) ) )
& ( ( mem2(sK19,sK20,g_s312_1_332)
& ( g_s343_360 != sK19 ) )
| ( ( g_s343_360 != sK19 )
& mem2(sK19,sK21,g_s314_1_334) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19,sK20,sK21]),skolemize(X0,sK19),skolemize(X3,sK20),skolemize(X4,sK21)],[f629]) ).
tff(f640,plain,
! [X0: $int,X4: $int] :
( mem2(X0,sK8(X0),g_s314_1_334)
| ~ mem2(X0,X4,g_s312_1_332) ),
inference(cnf_transformation,[],[f609]) ).
tff(f641,plain,
! [X2: $int,X0: $int] :
( mem2(X0,sK7(X0),g_s312_1_332)
| ~ mem2(X0,X2,g_s314_1_334) ),
inference(cnf_transformation,[],[f609]) ).
tff(f683,plain,
( ( g_s343_360 != sK19 )
| ( g_s343_360 != sK19 ) ),
inference(cnf_transformation,[],[f630]) ).
tff(f684,plain,
( mem2(sK19,sK21,g_s314_1_334)
| mem2(sK19,sK20,g_s312_1_332) ),
inference(cnf_transformation,[],[f630]) ).
tff(f686,plain,
! [X2: $int,X1: $int] :
( ( g_s343_360 = sK19 )
| ~ mem2(sK19,X1,g_s312_1_332)
| ~ mem2(sK19,X2,g_s314_1_334)
| ( g_s343_360 = sK19 ) ),
inference(cnf_transformation,[],[f630]) ).
tff(f703,plain,
g_s343_360 != sK19,
inference(duplicate_literal_removal,[],[f683]) ).
tff(f704,plain,
! [X2: $int,X1: $int] :
( ~ mem2(sK19,X1,g_s312_1_332)
| ( g_s343_360 = sK19 )
| ~ mem2(sK19,X2,g_s314_1_334) ),
inference(duplicate_literal_removal,[],[f686]) ).
tff(f706,definition,
( spl26_1
<=> mem2(sK19,sK21,g_s314_1_334) ),
introduced(definition,[new_symbols(definition,[spl26_1])],[avatar_definition]) ).
tff(f708,plain,
( mem2(sK19,sK21,g_s314_1_334)
| ~ spl26_1 ),
inference(avatar_component_clause,[],[f706]) ).
tff(f710,definition,
( spl26_2
<=> ( g_s343_360 = sK19 ) ),
introduced(definition,[new_symbols(definition,[spl26_2])],[avatar_definition]) ).
tff(f715,definition,
( spl26_3
<=> mem2(sK19,sK20,g_s312_1_332) ),
introduced(definition,[new_symbols(definition,[spl26_3])],[avatar_definition]) ).
tff(f717,plain,
( mem2(sK19,sK20,g_s312_1_332)
| ~ spl26_3 ),
inference(avatar_component_clause,[],[f715]) ).
tff(f718,plain,
( spl26_1
| spl26_3 ),
inference(avatar_split_clause,[],[f684,f715,f706]) ).
tff(f719,plain,
~ spl26_2,
inference(avatar_split_clause,[],[f703,f710]) ).
tff(f735,definition,
( spl26_7
<=> ! [X2: $int] : ~ mem2(sK19,X2,g_s314_1_334) ),
introduced(definition,[new_symbols(definition,[spl26_7])],[avatar_definition]) ).
tff(f736,plain,
( ! [X2: $int] : ~ mem2(sK19,X2,g_s314_1_334)
| ~ spl26_7 ),
inference(avatar_component_clause,[],[f735]) ).
tff(f738,definition,
( spl26_8
<=> ! [X1: $int] : ~ mem2(sK19,X1,g_s312_1_332) ),
introduced(definition,[new_symbols(definition,[spl26_8])],[avatar_definition]) ).
tff(f739,plain,
( ! [X1: $int] : ~ mem2(sK19,X1,g_s312_1_332)
| ~ spl26_8 ),
inference(avatar_component_clause,[],[f738]) ).
tff(f740,plain,
( spl26_7
| spl26_2
| spl26_8 ),
inference(avatar_split_clause,[],[f704,f738,f710,f735]) ).
tff(f751,plain,
( ! [X0: $int] : ~ mem2(sK19,X0,g_s312_1_332)
| ~ spl26_7 ),
inference(resolution,[],[f640,f736]) ).
tff(f754,plain,
( spl26_8
| ~ spl26_7 ),
inference(avatar_split_clause,[],[f751,f735,f738]) ).
tff(f755,plain,
( $false
| ~ spl26_3
| ~ spl26_8 ),
inference(resolution,[],[f739,f717]) ).
tff(f756,plain,
( ~ spl26_3
| ~ spl26_8 ),
inference(avatar_contradiction_clause,[],[f755]) ).
tff(f757,plain,
( $false
| ~ spl26_1
| ~ spl26_7 ),
inference(forward_subsumption_resolution,[],[f708,f736]) ).
tff(f758,plain,
( ~ spl26_1
| ~ spl26_7 ),
inference(avatar_contradiction_clause,[],[f757]) ).
tff(f762,plain,
( ! [X0: $int] : ~ mem2(sK19,X0,g_s314_1_334)
| ~ spl26_8 ),
inference(resolution,[],[f641,f739]) ).
tff(f765,plain,
( spl26_7
| ~ spl26_8 ),
inference(avatar_split_clause,[],[f762,f738,f735]) ).
cnf(s2,plain,
( spl26_1
| spl26_3 ),
inference(sat_conversion,[],[f718]) ).
cnf(s3,plain,
~ spl26_2,
inference(sat_conversion,[],[f719]) ).
cnf(s7,plain,
( spl26_2
| spl26_7
| spl26_8 ),
inference(sat_conversion,[],[f740]) ).
cnf(s8,plain,
( ~ spl26_7
| spl26_8 ),
inference(sat_conversion,[],[f754]) ).
cnf(s9,plain,
( ~ spl26_3
| ~ spl26_8 ),
inference(sat_conversion,[],[f756]) ).
cnf(s10,plain,
( ~ spl26_1
| ~ spl26_7 ),
inference(sat_conversion,[],[f758]) ).
cnf(s11,plain,
( spl26_7
| ~ spl26_8 ),
inference(sat_conversion,[],[f765]) ).
cnf(s12,plain,
spl26_8,
inference(rat,[],[s7,s8,s3]) ).
cnf(s13,plain,
spl26_7,
inference(rat,[],[s11,s12]) ).
cnf(s14,plain,
~ spl26_3,
inference(rat,[],[s9,s12]) ).
cnf(s15,plain,
~ spl26_1,
inference(rat,[],[s10,s13]) ).
cnf(s16,plain,
$false,
inference(rat,[],[s2,s14,s15]) ).
tff(f766,plain,
$false,
inference(avatar_sat_refutation,[],[s16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC535_1 : TPTP v9.3.1. Bugfixed v9.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n006.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 09:41:25 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running first-order theorem proving
% 0.08/0.24 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
% 3.37/1.22 % (3849633)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.37/1.22 % (3849639)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3501424924:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.37/1.22 % (3849640)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=12871903:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.37/1.22 % (3849642)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=936251786:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.37/1.22 % (3849638)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3633242878:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.37/1.22 % (3849641)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=365229093:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.37/1.22 % (3849643)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2112196368:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.37/1.22 % (3849644)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3083668563:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.37/1.22 % (3849642)Instruction limit reached!
% 3.37/1.22 % (3849642)------------------------------
% 3.37/1.22 % (3849642)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.37/1.22 % (3849642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.22 % (3849642)CaDiCaL version: 2.1.3
% 3.37/1.22 % (3849642)Termination reason: Instruction limit
% 3.37/1.22 % (3849642)Termination phase: Property scanning
% 3.37/1.22 % (3849642)Time elapsed: 0.003 s
% 3.37/1.22 % (3849642)Peak memory usage: 86 MB
% 3.37/1.22 % (3849642)Instructions burned: 4 (million)
% 3.37/1.22 % (3849641)Instruction limit reached!
% 3.37/1.22 % (3849641)------------------------------
% 3.37/1.22 % (3849641)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.37/1.22 % (3849641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.22 % (3849641)CaDiCaL version: 2.1.3
% 3.37/1.22 % (3849641)Termination reason: Instruction limit
% 3.37/1.22 % (3849641)Termination phase: Including theory axioms
% 3.37/1.22 % (3849641)Time elapsed: 0.004 s
% 3.37/1.22 % (3849641)Peak memory usage: 86 MB
% 3.37/1.22 % (3849641)Instructions burned: 7 (million)
% 3.37/1.22 % (3849638)Instruction limit reached!
% 3.37/1.22 % (3849638)------------------------------
% 3.37/1.22 % (3849638)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.37/1.22 % (3849638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.22 % (3849638)CaDiCaL version: 2.1.3
% 3.37/1.22 % (3849638)Termination reason: Instruction limit
% 3.37/1.22 % (3849638)Termination phase: Property scanning
% 3.37/1.22 % (3849638)Time elapsed: 0.007 s
% 3.37/1.22 % (3849638)Peak memory usage: 86 MB
% 3.37/1.22 % (3849638)Instructions burned: 12 (million)
% 3.37/1.22 % (3849644)Instruction limit reached!
% 3.37/1.22 % (3849644)------------------------------
% 3.37/1.22 % (3849644)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.37/1.22 % (3849644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.22 % (3849644)CaDiCaL version: 2.1.3
% 3.37/1.22 % (3849644)Termination reason: Instruction limit
% 3.37/1.22 % (3849644)Termination phase: Property scanning
% 3.37/1.22 % (3849644)Time elapsed: 0.021 s
% 3.37/1.22 % (3849644)Peak memory usage: 88 MB
% 3.37/1.22 % (3849644)Instructions burned: 34 (million)
% 3.37/1.22 % (3849643)Instruction limit reached!
% 3.37/1.22 % (3849643)------------------------------
% 3.37/1.22 % (3849643)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.37/1.22 % (3849643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.22 % (3849643)CaDiCaL version: 2.1.3
% 3.37/1.22 % (3849643)Termination reason: Instruction limit
% 3.37/1.22 % (3849643)Termination phase: Property scanning
% 3.37/1.22 % (3849643)Time elapsed: 0.027 s
% 3.37/1.22 % (3849643)Peak memory usage: 89 MB
% 3.37/1.22 % (3849643)Instructions burned: 48 (million)
% 3.37/1.22 % (3849639)Instruction limit reached!
% 3.37/1.22 % (3849639)------------------------------
% 3.37/1.22 % (3849639)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.37/1.22 % (3849639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.58/1.40 % (3849639)CaDiCaL version: 2.1.3
% 4.58/1.40 % (3849639)Termination reason: Instruction limit
% 4.58/1.40 % (3849639)Termination phase: Saturation
% 4.58/1.40 % (3849639)Time elapsed: 0.099 s
% 4.58/1.40 % (3849639)Peak memory usage: 120 MB
% 4.58/1.40 % (3849639)Instructions burned: 307 (million)
% 4.58/1.40 % (3849653)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=1978590952:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 4.58/1.40 % (3849652)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=37510117:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 4.58/1.40 % (3849654)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=830897105:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 4.58/1.40 % (3849640)Instruction limit reached!
% 4.58/1.40 % (3849640)------------------------------
% 4.58/1.40 % (3849640)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.58/1.40 % (3849640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.58/1.40 % (3849640)CaDiCaL version: 2.1.3
% 4.58/1.40 % (3849640)Termination reason: Instruction limit
% 4.58/1.40 % (3849640)Termination phase: Saturation
% 4.58/1.40 % (3849640)Time elapsed: 0.157 s
% 4.58/1.40 % (3849640)Peak memory usage: 119 MB
% 4.58/1.40 % (3849640)Instructions burned: 201 (million)
% 4.58/1.40 % (3849652)Instruction limit reached!
% 4.58/1.40 % (3849652)------------------------------
% 4.58/1.40 % (3849652)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.58/1.40 % (3849652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.58/1.40 % (3849652)CaDiCaL version: 2.1.3
% 4.58/1.40 % (3849652)Termination reason: Instruction limit
% 4.58/1.40 % (3849652)Termination phase: SInE selection
% 4.58/1.40 % (3849652)Time elapsed: 0.009 s
% 4.58/1.40 % (3849652)Peak memory usage: 86 MB
% 4.58/1.40 % (3849652)Instructions burned: 14 (million)
% 4.58/1.40 % (3849654)Instruction limit reached!
% 4.58/1.40 % (3849654)------------------------------
% 4.58/1.40 % (3849654)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.58/1.40 % (3849654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.58/1.40 % (3849654)CaDiCaL version: 2.1.3
% 4.58/1.40 % (3849654)Termination reason: Instruction limit
% 4.58/1.40 % (3849654)Termination phase: Naming
% 4.58/1.40 % (3849654)Time elapsed: 0.012 s
% 4.58/1.40 % (3849654)Peak memory usage: 87 MB
% 4.58/1.40 % (3849654)Instructions burned: 18 (million)
% 4.58/1.40 % (3849657)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=3172662765:i=85:gtgl=4:rtra=on:gtg=exists_sym_2997 on theBenchmark for (2997ds/85Mi)
% 4.58/1.40 % (3849655)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=1615977794:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 4.58/1.40 % (3849656)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=126979085:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 4.58/1.40 % (3849653)Instruction limit reached!
% 4.58/1.40 % (3849653)------------------------------
% 4.58/1.40 % (3849653)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.58/1.40 % (3849653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.58/1.40 % (3849653)CaDiCaL version: 2.1.3
% 4.58/1.40 % (3849653)Termination reason: Instruction limit
% 4.58/1.40 % (3849653)Termination phase: Property scanning
% 4.58/1.40 % (3849653)Time elapsed: 0.020 s
% 4.58/1.40 % (3849653)Peak memory usage: 88 MB
% 4.58/1.40 % (3849653)Instructions burned: 30 (million)
% 4.58/1.40 % (3849655)Instruction limit reached!
% 4.58/1.40 % (3849655)------------------------------
% 4.58/1.40 % (3849655)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.58/1.40 % (3849655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.58/1.40 % (3849655)CaDiCaL version: 2.1.3
% 4.58/1.40 % (3849655)Termination reason: Instruction limit
% 4.58/1.40 % (3849655)Termination phase: Preprocessing 3
% 4.58/1.40 % (3849655)Time elapsed: 0.015 s
% 4.58/1.40 % (3849655)Peak memory usage: 88 MB
% 4.58/1.40 % (3849655)Instructions burned: 24 (million)
% 4.58/1.40 % (3849656)Instruction limit reached!
% 4.58/1.40 % (3849656)------------------------------
% 4.58/1.44 % (3849656)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.58/1.44 % (3849656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.58/1.44 % (3849656)CaDiCaL version: 2.1.3
% 4.58/1.44 % (3849656)Termination reason: Instruction limit
% 4.58/1.44 % (3849656)Termination phase: Preprocessing 3
% 4.58/1.44 % (3849656)Time elapsed: 0.017 s
% 4.58/1.44 % (3849656)Peak memory usage: 88 MB
% 4.58/1.44 % (3849656)Instructions burned: 27 (million)
% 4.58/1.44 % (3849657)Instruction limit reached!
% 4.58/1.44 % (3849657)------------------------------
% 4.58/1.44 % (3849657)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.58/1.44 % (3849657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.58/1.44 % (3849657)CaDiCaL version: 2.1.3
% 4.58/1.44 % (3849657)Termination reason: Instruction limit
% 4.58/1.44 % (3849657)Termination phase: Saturation
% 4.58/1.44 % (3849657)Time elapsed: 0.026 s
% 4.58/1.44 % (3849657)Peak memory usage: 91 MB
% 4.58/1.44 % (3849657)Instructions burned: 87 (million)
% 4.58/1.44 % (3849664)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=2192206418:i=4:ep=RST:ins=2:rtra=on_2996 on theBenchmark for (2996ds/4Mi)
% 4.58/1.44 % (3849661)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=3894847775:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 4.58/1.44 % (3849662)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=1284197505:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 4.58/1.44 % (3849661)Instruction limit reached!
% 4.58/1.44 % (3849661)------------------------------
% 4.58/1.44 % (3849661)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.58/1.44 % (3849661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.58/1.44 % (3849661)CaDiCaL version: 2.1.3
% 4.58/1.44 % (3849661)Termination reason: Instruction limit
% 4.58/1.44 % (3849661)Termination phase: Property scanning
% 4.58/1.44 % (3849661)Time elapsed: 0.003 s
% 4.58/1.44 % (3849661)Peak memory usage: 86 MB
% 4.58/1.44 % (3849661)Instructions burned: 4 (million)
% 4.58/1.44 % (3849664)Instruction limit reached!
% 4.58/1.44 % (3849664)------------------------------
% 4.58/1.44 % (3849664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.58/1.44 % (3849664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.58/1.44 % (3849664)CaDiCaL version: 2.1.3
% 4.58/1.44 % (3849664)Termination reason: Instruction limit
% 4.58/1.44 % (3849664)Termination phase: Property scanning
% 4.58/1.44 % (3849664)Time elapsed: 0.003 s
% 4.58/1.44 % (3849664)Peak memory usage: 86 MB
% 4.58/1.44 % (3849664)Instructions burned: 5 (million)
% 4.58/1.44 % (3849670)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=108083888:st=3:i=2:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/2Mi)
% 4.58/1.44 % (3849670)Instruction limit reached!
% 4.58/1.44 % (3849670)------------------------------
% 4.58/1.44 % (3849670)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.58/1.44 % (3849670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.58/1.44 % (3849670)CaDiCaL version: 2.1.3
% 4.58/1.44 % (3849670)Termination reason: Instruction limit
% 4.58/1.44 % (3849670)Termination phase: Property scanning
% 4.58/1.45 % (3849670)Time elapsed: 0.002 s
% 4.58/1.45 % (3849670)Peak memory usage: 86 MB
% 4.58/1.45 % (3849670)Instructions burned: 6 (million)
% 4.58/1.45 % (3849662)First to succeed.
% 4.58/1.45 % (3849662)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3849633"
% 4.58/1.45 % (3849667)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=2630383903:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2996 on theBenchmark for (2996ds/66Mi)
% 4.58/1.45 % (3849669)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=4269389710:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2996 on theBenchmark for (2996ds/8Mi)
% 4.58/1.45 % (3849668)lrs+10_1_thi=all:si=on:fd=off:random_seed=825191003:i=53:rtra=on:gtg=all_2996 on theBenchmark for (2996ds/53Mi)
% 4.58/1.45 % (3849669)Instruction limit reached!
% 4.58/1.45 % (3849669)------------------------------
% 4.58/1.45 % (3849669)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.58/1.45 % (3849669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.58/1.45 % (3849669)CaDiCaL version: 2.1.3
% 4.58/1.45 % (3849669)Termination reason: Instruction limit
% 4.58/1.45 % (3849669)Termination phase: shuffling
% 4.58/1.45 % (3849669)Time elapsed: 0.005 s
% 4.58/1.45 % (3849669)Peak memory usage: 85 MB
% 4.58/1.45 % (3849669)Instructions burned: 9 (million)
% 4.58/1.45 % (3849668)Instruction limit reached!
% 4.58/1.45 % (3849668)------------------------------
% 4.58/1.45 % (3849668)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.58/1.45 % (3849668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.58/1.45 % (3849668)CaDiCaL version: 2.1.3
% 4.58/1.45 % (3849668)Termination reason: Instruction limit
% 4.58/1.45 % (3849668)Termination phase: Property scanning
% 4.58/1.45 % (3849668)Time elapsed: 0.030 s
% 4.58/1.45 % (3849668)Peak memory usage: 89 MB
% 4.58/1.45 % (3849668)Instructions burned: 53 (million)
% 4.58/1.45 % (3849667)Instruction limit reached!
% 4.58/1.45 % (3849667)------------------------------
% 4.58/1.45 % (3849667)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.58/1.45 % (3849667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.58/1.45 % (3849667)CaDiCaL version: 2.1.3
% 4.58/1.45 % (3849667)Termination reason: Instruction limit
% 4.58/1.45 % (3849667)Termination phase: Saturation
% 4.58/1.45 % (3849667)Time elapsed: 0.080 s
% 4.58/1.45 % (3849667)Peak memory usage: 131 MB
% 4.58/1.45 % (3849667)Instructions burned: 67 (million)
% 4.58/1.45 % (3849676)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=3141241956:i=127:doe=on:rtra=on_2995 on theBenchmark for (2995ds/127Mi)
% 4.58/1.45 % (3849677)dis+10_1_si=on:random_seed=1010492561:i=10:ep=R:rtra=on_2995 on theBenchmark for (2995ds/10Mi)
% 4.58/1.45 % (3849675)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=2755466021:i=2:doe=on:canc=force:asg=cautious:rtra=on_2995 on theBenchmark for (2995ds/2Mi)
% 4.58/1.45 % (3849675)Instruction limit reached!
% 4.58/1.45 % (3849675)------------------------------
% 4.58/1.45 % (3849675)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.58/1.45 % (3849675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.58/1.45 % (3849675)CaDiCaL version: 2.1.3
% 4.58/1.45 % (3849675)Termination reason: Instruction limit
% 4.58/1.45 % (3849675)Termination phase: Property scanning
% 4.58/1.45 % (3849675)Time elapsed: 0.002 s
% 4.58/1.45 % (3849675)Peak memory usage: 85 MB
% 4.58/1.45 % (3849675)Instructions burned: 2 (million)
% 4.58/1.45 % (3849677)Instruction limit reached!
% 4.58/1.45 % (3849677)------------------------------
% 4.58/1.45 % (3849677)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.58/1.45 % (3849677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.58/1.45 % (3849677)CaDiCaL version: 2.1.3
% 4.58/1.45 % (3849677)Termination reason: Instruction limit
% 4.58/1.45 % (3849677)Termination phase: Property scanning
% 4.58/1.45 % (3849677)Time elapsed: 0.006 s
% 4.58/1.45 % (3849677)Peak memory usage: 86 MB
% 4.58/1.45 % (3849677)Instructions burned: 11 (million)
% 4.58/1.45 % (3849676)Instruction limit reached!
% 4.58/1.45 % (3849676)------------------------------
% 4.58/1.45 % (3849676)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.58/1.45 % (3849676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.58/1.45 % (3849676)CaDiCaL version: 2.1.3
% 4.58/1.45 % (3849676)Termination reason: Instruction limit
% 4.58/1.45 % (3849676)Termination phase: Saturation
% 4.58/1.45 % (3849676)Time elapsed: 0.057 s
% 4.58/1.45 % (3849676)Peak memory usage: 120 MB
% 4.58/1.45 % (3849676)Instructions burned: 129 (million)
% 4.58/1.45 % (3849681)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=1620878720:i=26:canc=cautious:av=off:rtra=on_2994 on theBenchmark for (2994ds/26Mi)
% 4.58/1.45 % (3849681)Instruction limit reached!
% 4.58/1.45 % (3849681)------------------------------
% 4.58/1.45 % (3849681)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.58/1.45 % (3849681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.58/1.45 % (3849681)CaDiCaL version: 2.1.3
% 4.58/1.45 % (3849681)Termination reason: Instruction limit
% 4.58/1.45 % (3849681)Termination phase: Preprocessing 3
% 4.58/1.45 % (3849681)Time elapsed: 0.017 s
% 4.58/1.45 % (3849681)Peak memory usage: 88 MB
% 4.58/1.45 % (3849681)Instructions burned: 26 (million)
% 4.58/1.45 % (3849682)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=1074928115: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)
% 4.58/1.45 % (3849682)Instruction limit reached!
% 4.58/1.45 % (3849682)------------------------------
% 4.58/1.45 % (3849682)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.58/1.45 % (3849682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.58/1.45 % (3849682)CaDiCaL version: 2.1.3
% 4.58/1.45 % (3849682)Termination reason: Instruction limit
% 4.58/1.45 % (3849682)Termination phase: Property scanning
% 4.58/1.45 % (3849682)Time elapsed: 0.023 s
% 4.58/1.45 % (3849682)Peak memory usage: 88 MB
% 4.58/1.45 % (3849682)Instructions burned: 35 (million)
% 4.58/1.45 % (3849683)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=1833939832:i=2:fsr=off:rtra=on:inst=on_2994 on theBenchmark for (2994ds/2Mi)
% 4.58/1.45 % (3849683)Instruction limit reached!
% 4.58/1.45 % (3849683)------------------------------
% 4.58/1.45 % (3849683)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.58/1.45 % (3849683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.58/1.45 % (3849683)CaDiCaL version: 2.1.3
% 4.58/1.45 % (3849683)Termination reason: Instruction limit
% 4.58/1.45 % (3849683)Termination phase: Property scanning
% 4.58/1.45 % (3849683)Time elapsed: 0.003 s
% 4.58/1.45 % (3849683)Peak memory usage: 86 MB
% 4.58/1.45 % (3849683)Instructions burned: 3 (million)
% 4.58/1.45 % (3849662)Refutation found. Thanks to Tanya!
% 4.58/1.45 % SZS status Theorem for theBenchmark
% 4.58/1.45 % SZS output start Proof for theBenchmark
% See solution above
% 5.93/1.64 % (3849662)------------------------------
% 5.93/1.64 % (3849662)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.93/1.64 % (3849662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/1.64 % (3849662)CaDiCaL version: 2.1.3
% 5.93/1.64 % (3849662)Termination reason: Refutation
% 5.93/1.64 % (3849662)Time elapsed: 0.017 s
% 5.93/1.64 % (3849662)Peak memory usage: 91 MB
% 5.93/1.64 % (3849662)Instructions burned: 26 (million)
% 5.93/1.64 % (3849662)------------------------------
% 5.93/1.64 % (3849662)------------------------------
% 5.93/1.64 % (3849633)Success in time 0.763 s
% 5.93/1.64 % Vampire exiting
%------------------------------------------------------------------------------