%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC524_1 : TPTP v9.3.1. Bugfixed v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 01:04:10 PM UTC 2026
% Result : Theorem 3.26s 1.22s
% Output : Refutation 4.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 15
% Syntax : Number of formulae : 41 ( 22 unt; 0 typ; 10 def)
% Number of atoms : 86 ( 25 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 68 ( 23 ~; 22 |; 13 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 101 ( 26 atm; 39 fun; 20 num; 16 var)
% Number of types : 6 ( 4 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 26 ( 21 usr; 8 prp; 0-4 aty)
% Number of functors : 358 ( 354 usr; 339 con; 0-2 aty)
% Number of variables : 16 ( 12 !; 4 ?; 16 :)
% 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(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: set_0 ).
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: $int ).
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: $int ).
tff(func_def_24,type,
g_s19_19: set_0 ).
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: $int ).
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: $int ).
tff(func_def_37,type,
g_s33_32: set_0 ).
tff(func_def_38,type,
g_s32_33: $int ).
tff(func_def_39,type,
g_s35_34: set_0 ).
tff(func_def_40,type,
g_s34_35: $int ).
tff(func_def_41,type,
g_s37_36: set_0 ).
tff(func_def_42,type,
g_s36_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,
set_2_empty: set_2 ).
tff(func_def_47,type,
set_2_insert: set_2 > set_2 ).
tff(func_def_48,type,
g_s41_41: set_2 ).
tff(func_def_49,type,
g_s42_42: $int ).
tff(func_def_50,type,
g_s43_43: $int ).
tff(func_def_51,type,
g_s44_44: $int ).
tff(func_def_52,type,
g_s45_45: $int ).
tff(func_def_53,type,
g_s46_46: $int ).
tff(func_def_54,type,
g_s47_47: $int ).
tff(func_def_55,type,
g_s48_48: $int ).
tff(func_def_56,type,
g_s49_49: $int ).
tff(func_def_57,type,
g_s50_50: $int ).
tff(func_def_58,type,
g_s51_51: $int ).
tff(func_def_59,type,
g_s52_52: $int ).
tff(func_def_60,type,
g_s53_53: $int ).
tff(func_def_61,type,
g_s54_54: $int ).
tff(func_def_62,type,
g_s55_55: $int ).
tff(func_def_63,type,
g_s56_56: $int ).
tff(func_def_64,type,
g_s57_57: $int ).
tff(func_def_65,type,
g_s58_58: $int ).
tff(func_def_66,type,
g_s59_59: $int ).
tff(func_def_67,type,
g_s60_60: $int ).
tff(func_def_68,type,
g_s61_61: $int ).
tff(func_def_69,type,
g_s62_62: $int ).
tff(func_def_70,type,
g_s63_63: $int ).
tff(func_def_71,type,
g_s64_64: $int ).
tff(func_def_72,type,
g_s65_65: $int ).
tff(func_def_73,type,
g_s66_66: $int ).
tff(func_def_74,type,
g_s67_67: $int ).
tff(func_def_75,type,
g_s68_68: $int ).
tff(func_def_76,type,
g_s69_69: $int ).
tff(func_def_77,type,
g_s70_70: $int ).
tff(func_def_78,type,
g_s71_71: $int ).
tff(func_def_79,type,
g_s72_72: $int ).
tff(func_def_80,type,
g_s73_73: $int ).
tff(func_def_81,type,
g_s74_74: $int ).
tff(func_def_82,type,
g_s75_75: $int ).
tff(func_def_83,type,
g_s76_76: $int ).
tff(func_def_84,type,
g_s77_77: $int ).
tff(func_def_85,type,
g_s78_78: $int ).
tff(func_def_86,type,
g_s79_79: $int ).
tff(func_def_87,type,
g_s80_80: $int ).
tff(func_def_88,type,
g_s81_81: $int ).
tff(func_def_89,type,
g_s82_82: $int ).
tff(func_def_90,type,
g_s83_83: $int ).
tff(func_def_91,type,
g_s84_84: $int ).
tff(func_def_92,type,
g_s85_85: $int ).
tff(func_def_93,type,
g_s86_86: $int ).
tff(func_def_94,type,
g_s87_87: $int ).
tff(func_def_95,type,
g_s88_88: $int ).
tff(func_def_96,type,
g_s89_89: $int ).
tff(func_def_97,type,
g_s90_90: $int ).
tff(func_def_98,type,
g_s91_91: $int ).
tff(func_def_99,type,
g_s92_92: $int ).
tff(func_def_100,type,
g_s93_93: $int ).
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: $int ).
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: $int ).
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: $int ).
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: $int ).
tff(func_def_127,type,
g_s120_120: $int ).
tff(func_def_128,type,
g_s121_121: $int ).
tff(func_def_129,type,
g_s122_122: $int ).
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: $int ).
tff(func_def_134,type,
g_s127_127: $int ).
tff(func_def_135,type,
g_s128_128: $int ).
tff(func_def_136,type,
g_s129_129: $int ).
tff(func_def_137,type,
g_s130_130: $int ).
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: $int ).
tff(func_def_141,type,
g_s134_134: $int ).
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: $int ).
tff(func_def_145,type,
g_s138_138: $int ).
tff(func_def_146,type,
g_s139_139: $int ).
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: $int ).
tff(func_def_150,type,
g_s143_143: $int ).
tff(func_def_151,type,
g_s144_144: $int ).
tff(func_def_152,type,
g_s145_145: $int ).
tff(func_def_153,type,
g_s146_146: $int ).
tff(func_def_154,type,
g_s147_147: $int ).
tff(func_def_155,type,
g_s148_148: $int ).
tff(func_def_156,type,
g_s149_149: $int ).
tff(func_def_157,type,
g_s150_150: $int ).
tff(func_def_158,type,
g_s151_151: $int ).
tff(func_def_159,type,
g_s152_152: $int ).
tff(func_def_160,type,
g_s153_153: $int ).
tff(func_def_161,type,
g_s154_154: $int ).
tff(func_def_162,type,
g_s155_155: $int ).
tff(func_def_163,type,
g_s156_156: $int ).
tff(func_def_164,type,
g_s157_157: $int ).
tff(func_def_165,type,
g_s158_158: $int ).
tff(func_def_166,type,
g_s159_159: $int ).
tff(func_def_167,type,
g_s160_160: $int ).
tff(func_def_168,type,
g_s161_161: set_0 ).
tff(func_def_169,type,
g_s162_162: set_0 ).
tff(func_def_170,type,
g_s163_163: $int ).
tff(func_def_171,type,
g_s164_164: $int ).
tff(func_def_172,type,
g_s165_165: $int ).
tff(func_def_173,type,
g_s166_166: $int ).
tff(func_def_174,type,
g_s167_167: $int ).
tff(func_def_175,type,
g_s168_168: $int ).
tff(func_def_176,type,
g_s169_169: $int ).
tff(func_def_177,type,
g_s170_170: $int ).
tff(func_def_178,type,
g_s171_171: $int ).
tff(func_def_179,type,
g_s172_172: $int ).
tff(func_def_180,type,
g_s173_173: $int ).
tff(func_def_181,type,
g_s174_174: $int ).
tff(func_def_182,type,
g_s175_175: $int ).
tff(func_def_183,type,
g_s176_176: $int ).
tff(func_def_184,type,
g_s177_177: $int ).
tff(func_def_185,type,
g_s178_178: $int ).
tff(func_def_186,type,
g_s179_179: $int ).
tff(func_def_187,type,
g_s180_180: $int ).
tff(func_def_188,type,
g_s181_181: $int ).
tff(func_def_189,type,
g_s182_182: $int ).
tff(func_def_190,type,
g_s183_183: $int ).
tff(func_def_191,type,
g_s184_184: $int ).
tff(func_def_192,type,
g_s185_185: $int ).
tff(func_def_193,type,
g_s186_186: $int ).
tff(func_def_194,type,
g_s187_187: $int ).
tff(func_def_195,type,
g_s188_188: $int ).
tff(func_def_196,type,
g_s189_189: $int ).
tff(func_def_197,type,
g_s190_190: $int ).
tff(func_def_198,type,
g_s191_191: $int ).
tff(func_def_199,type,
g_s192_192: $int ).
tff(func_def_200,type,
g_s193_193: $int ).
tff(func_def_201,type,
g_s194_194: $int ).
tff(func_def_202,type,
g_s195_195: $int ).
tff(func_def_203,type,
g_s196_196: $int ).
tff(func_def_204,type,
g_s197_197: $int ).
tff(func_def_205,type,
g_s198_198: $int ).
tff(func_def_206,type,
g_s199_199: $int ).
tff(func_def_207,type,
g_s200_200: $int ).
tff(func_def_208,type,
g_s201_201: $int ).
tff(func_def_209,type,
g_s202_202: $int ).
tff(func_def_210,type,
g_s203_203: $int ).
tff(func_def_211,type,
g_s204_204: $int ).
tff(func_def_212,type,
g_s205_205: $int ).
tff(func_def_213,type,
g_s206_206: $int ).
tff(func_def_214,type,
g_s207_207: $int ).
tff(func_def_215,type,
g_s208_208: $int ).
tff(func_def_216,type,
g_s209_209: $int ).
tff(func_def_217,type,
g_s210_210: $int ).
tff(func_def_218,type,
g_s211_211: $int ).
tff(func_def_219,type,
g_s212_212: $int ).
tff(func_def_220,type,
g_s213_213: $int ).
tff(func_def_221,type,
g_s214_214: $int ).
tff(func_def_222,type,
g_s215_215: $int ).
tff(func_def_223,type,
g_s216_216: $int ).
tff(func_def_224,type,
g_s217_217: $int ).
tff(func_def_225,type,
g_s218_218: $int ).
tff(func_def_226,type,
g_s219_219: $int ).
tff(func_def_227,type,
g_s220_220: $int ).
tff(func_def_228,type,
g_s221_221: $int ).
tff(func_def_229,type,
g_s222_222: $int ).
tff(func_def_230,type,
g_s223_223: $int ).
tff(func_def_231,type,
g_s224_224: $int ).
tff(func_def_232,type,
g_s225_225: $int ).
tff(func_def_233,type,
g_s226_226: $int ).
tff(func_def_234,type,
g_s227_227: $int ).
tff(func_def_235,type,
g_s228_228: $int ).
tff(func_def_236,type,
g_s229_229: $int ).
tff(func_def_237,type,
g_s230_230: $int ).
tff(func_def_238,type,
g_s231_231: $int ).
tff(func_def_239,type,
g_s232_232: $int ).
tff(func_def_240,type,
g_s233_233: $int ).
tff(func_def_241,type,
g_s234_234: $int ).
tff(func_def_242,type,
g_s235_235: $int ).
tff(func_def_243,type,
g_s236_236: $int ).
tff(func_def_244,type,
g_s237_237: $int ).
tff(func_def_245,type,
g_s238_238: $int ).
tff(func_def_246,type,
g_s239_239: $int ).
tff(func_def_247,type,
g_s240_240: $int ).
tff(func_def_248,type,
g_s241_241: $int ).
tff(func_def_249,type,
g_s242_242: $int ).
tff(func_def_250,type,
g_s243_243: $int ).
tff(func_def_251,type,
g_s244_244: $int ).
tff(func_def_252,type,
g_s245_245: $int ).
tff(func_def_253,type,
g_s246_246: $int ).
tff(func_def_254,type,
g_s247_247: $int ).
tff(func_def_255,type,
g_s248_248: $int ).
tff(func_def_256,type,
g_s249_249: $int ).
tff(func_def_257,type,
g_s250_250: $int ).
tff(func_def_258,type,
g_s251_251: $int ).
tff(func_def_259,type,
g_s252_252: $int ).
tff(func_def_260,type,
g_s253_253: $int ).
tff(func_def_261,type,
g_s254_254: $int ).
tff(func_def_262,type,
g_s255_255: $int ).
tff(func_def_263,type,
g_s256_256: $int ).
tff(func_def_264,type,
g_s257_257: $int ).
tff(func_def_265,type,
g_s258_258: $int ).
tff(func_def_266,type,
g_s259_259: $int ).
tff(func_def_267,type,
g_s260_260: $int ).
tff(func_def_268,type,
g_s261_261: $int ).
tff(func_def_269,type,
g_s262_262: $int ).
tff(func_def_270,type,
g_s263_263: $int ).
tff(func_def_271,type,
g_s264_264: $int ).
tff(func_def_272,type,
g_s265_265: $int ).
tff(func_def_273,type,
g_s266_266: $int ).
tff(func_def_274,type,
g_s267_267: $int ).
tff(func_def_275,type,
g_s268_268: $int ).
tff(func_def_276,type,
g_s269_269: $int ).
tff(func_def_277,type,
g_s270_270: $int ).
tff(func_def_278,type,
g_s271_271: $int ).
tff(func_def_279,type,
g_s272_272: $int ).
tff(func_def_280,type,
g_s273_273: $int ).
tff(func_def_281,type,
g_s274_274: $int ).
tff(func_def_282,type,
g_s275_275: $int ).
tff(func_def_283,type,
g_s276_276: $int ).
tff(func_def_284,type,
set_3_empty: set_3 ).
tff(func_def_285,type,
set_3_insert: set_3 > set_3 ).
tff(func_def_286,type,
g_s277_277: set_3 ).
tff(func_def_287,type,
set_4_empty: set_4 ).
tff(func_def_288,type,
set_4_insert: set_4 > set_4 ).
tff(func_def_289,type,
g_s278_278: set_4 ).
tff(func_def_290,type,
g_s279_279: set_3 ).
tff(func_def_291,type,
g_s280_280: set_4 ).
tff(func_def_292,type,
g_s281_281: set_3 ).
tff(func_def_293,type,
g_s282_282: set_0 ).
tff(func_def_294,type,
g_s283_283: set_0 ).
tff(func_def_295,type,
g_s284_284: set_0 ).
tff(func_def_296,type,
g_s285_285: set_0 ).
tff(func_def_297,type,
g_s286_286: set_4 ).
tff(func_def_298,type,
g_s287_287: set_4 ).
tff(func_def_299,type,
g_s288_288: set_4 ).
tff(func_def_300,type,
g_s289_289: set_4 ).
tff(func_def_301,type,
g_s290_290: set_0 ).
tff(func_def_302,type,
g_s291_291: set_0 ).
tff(func_def_303,type,
g_s292_292: set_0 ).
tff(func_def_304,type,
g_s293_293: set_0 ).
tff(func_def_305,type,
g_s294_294: set_4 ).
tff(func_def_306,type,
g_s295_295: set_4 ).
tff(func_def_307,type,
g_s296_296: set_0 ).
tff(func_def_308,type,
g_s297_297: set_4 ).
tff(func_def_309,type,
g_s298_298: $int ).
tff(func_def_310,type,
g_s299_299: $int ).
tff(func_def_311,type,
g_s302_300: $int ).
tff(func_def_312,type,
g_s305_301: $int ).
tff(func_def_313,type,
g_s306_302: set_4 ).
tff(func_def_314,type,
g_s307_303: set_4 ).
tff(func_def_315,type,
g_s308_304: set_4 ).
tff(func_def_316,type,
g_s299_1_313: $int ).
tff(func_def_317,type,
g_s302_1_314: $int ).
tff(func_def_318,type,
g_s305_1_315: $int ).
tff(func_def_319,type,
g_s309_1_316: $int ).
tff(func_def_320,type,
g_s311_1_317: $int ).
tff(func_def_321,type,
g_s310_1_318: $int ).
tff(func_def_322,type,
g_s312_1_319: $int ).
tff(func_def_323,type,
g_s314_1_320: $int ).
tff(func_def_324,type,
g_s313_1_321: $int ).
tff(func_def_337,type,
bG0: $o > $o ).
tff(func_def_338,type,
bG1: $o > $o ).
tff(func_def_339,type,
bG2: $o > $o ).
tff(func_def_340,type,
bG3: $o > $o ).
tff(func_def_341,type,
bG4: $o > $o ).
tff(func_def_342,type,
bG5: $o > $o ).
tff(func_def_343,type,
bG6: $o > $o ).
tff(func_def_344,type,
bG7: $o > $o ).
tff(func_def_345,type,
bG8: $o > $o ).
tff(func_def_346,type,
bG9: $o > $o ).
tff(func_def_347,type,
sK10: $int > $int ).
tff(func_def_348,type,
sK11: $int > $int ).
tff(func_def_349,type,
sK12: set_4 ).
tff(func_def_350,type,
sK13: $int > $int ).
tff(func_def_351,type,
sK14: $int ).
tff(func_def_352,type,
sK15: $int ).
tff(func_def_353,type,
sK16: $int ).
tff(func_def_354,type,
sK17: ( $int * $int ) > $int ).
tff(func_def_355,type,
sK18: set_4 ).
tff(func_def_356,type,
sK19: $int > $int ).
tff(func_def_357,type,
sK20: set_4 ).
tff(func_def_358,type,
sK21: $int > $int ).
tff(func_def_359,type,
sK22: set_3 ).
tff(func_def_360,type,
sK23: ( $int * $int ) > $int ).
tff(func_def_361,type,
sK24: $int > $int ).
tff(func_def_362,type,
sK25: $int ).
tff(func_def_363,type,
sK26: set_3 ).
tff(func_def_364,type,
sK27: ( $int * $int ) > $int ).
tff(func_def_365,type,
sK28: set_4 ).
tff(func_def_366,type,
sK29: $int > $int ).
tff(func_def_367,type,
sK30: $int ).
tff(func_def_368,type,
sK31: set_4 ).
tff(func_def_369,type,
sK32: $int > $int ).
tff(func_def_370,type,
sK33: $int ).
tff(func_def_371,type,
sK34: ( $int * $int ) > $int ).
tff(func_def_372,type,
sK35: set_3 ).
tff(func_def_373,type,
sK36: ( $int * $int ) > $int ).
tff(func_def_374,type,
sF37: $int ).
tff(func_def_375,type,
sF38: $int ).
tff(func_def_376,type,
sF39: $int ).
tff(func_def_377,type,
sF40: $int ).
tff(func_def_378,type,
sF41: $int ).
tff(pred_def_1,type,
mem0: ( $int * set_0 ) > $o ).
tff(pred_def_2,type,
mem2: ( $o * $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_4 ) > $o ).
tff(f151,axiom,
$greatereq(g_s180_180,1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Define:ctx:216') ).
tff(f434,axiom,
g_s302_300 = g_s302_1_314,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Define:inv:5') ).
tff(f460,axiom,
mem4(g_s298_298,g_s302_300,g_s307_303),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gh_2_def) ).
tff(f462,axiom,
g_s302_1_314 = g_s102_102,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Local_Hyp:0') ).
tff(f463,conjecture,
~ ! [X0: $int] :
( $false
<=> ( ? [X1: $int] :
( mem4(X1,X0,g_s307_303)
& $lesseq(X1,g_s298_298)
& $greatereq(X1,$sum($difference(g_s298_298,g_s180_180),1)) )
& ( ( X0 = g_s102_102 )
| ( X0 = $difference(g_s102_102,1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Goal') ).
tff(f464,negated_conjecture,
~ ~ ! [X0: $int] :
( $false
<=> ( ? [X1: $int] :
( mem4(X1,X0,g_s307_303)
& $lesseq(X1,g_s298_298)
& $greatereq(X1,$sum($difference(g_s298_298,g_s180_180),1)) )
& ( ( X0 = g_s102_102 )
| ( X0 = $difference(g_s102_102,1) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f463]) ).
tff(f480,plain,
! [X0: $int] :
( $false
<=> ( ? [X1: $int] :
( ~ $less(X1,$sum($sum(g_s298_298,$uminus(g_s180_180)),1))
& ~ $less(g_s298_298,X1)
& mem4(X1,X0,g_s307_303) )
& ( ( $sum(g_s102_102,$uminus(1)) = X0 )
| ( X0 = g_s102_102 ) ) ) ),
inference(theory_normalization,[],[f464]) ).
tff(f485,plain,
~ $less(g_s180_180,1),
inference(theory_normalization,[],[f151]) ).
tff(f653,plain,
! [X0: $int] :
~ ( ? [X1: $int] :
( ~ $less(X1,$sum($sum(g_s298_298,$uminus(g_s180_180)),1))
& ~ $less(g_s298_298,X1)
& mem4(X1,X0,g_s307_303) )
& ( ( $sum(g_s102_102,$uminus(1)) = X0 )
| ( X0 = g_s102_102 ) ) ),
inference(true_and_false_elimination,[],[f480]) ).
tff(f681,plain,
! [X0: $int] :
( ( ( $sum(g_s102_102,$uminus(1)) != X0 )
& ( g_s102_102 != X0 ) )
| ! [X1: $int] :
( ~ mem4(X1,X0,g_s307_303)
| $less(g_s298_298,X1)
| $less(X1,$sum($sum(g_s298_298,$uminus(g_s180_180)),1)) ) ),
inference(ennf_transformation,[],[f653]) ).
tff(f897,plain,
g_s102_102 = g_s302_1_314,
inference(cnf_transformation,[],[f462]) ).
tff(f926,plain,
! [X0: $int,X1: $int] :
( ( g_s102_102 != X0 )
| ~ mem4(X1,X0,g_s307_303)
| $less(g_s298_298,X1)
| $less(X1,$sum($sum(g_s298_298,$uminus(g_s180_180)),1)) ),
inference(cnf_transformation,[],[f681]) ).
tff(f1102,plain,
g_s302_300 = g_s302_1_314,
inference(cnf_transformation,[],[f434]) ).
tff(f1221,plain,
~ $less(g_s180_180,1),
inference(cnf_transformation,[],[f485]) ).
tff(f1282,plain,
mem4(g_s298_298,g_s302_300,g_s307_303),
inference(cnf_transformation,[],[f460]) ).
tff(f1498,plain,
! [X0: $int,X1: $int] :
( ( g_s302_1_314 != X0 )
| ~ mem4(X1,X0,g_s307_303)
| $less(g_s298_298,X1)
| $less(X1,$sum($sum(g_s298_298,$uminus(g_s180_180)),1)) ),
inference(definition_unfolding,[],[f926,f897]) ).
tff(f1546,plain,
mem4(g_s298_298,g_s302_1_314,g_s307_303),
inference(definition_unfolding,[],[f1282,f1102]) ).
tff(f1571,plain,
! [X1: $int] :
( ~ mem4(X1,g_s302_1_314,g_s307_303)
| $less(g_s298_298,X1)
| $less(X1,$sum($sum(g_s298_298,$uminus(g_s180_180)),1)) ),
inference(equality_resolution,[],[f1498]) ).
tff(f1654,definition,
sF39 = $uminus(g_s180_180),
introduced(definition,[new_symbols(definition,[sF39])],[function_definition]) ).
tff(f1655,plain,
$uminus(g_s180_180) = sF39,
inference(reorient_equations,[],[f1654]) ).
tff(f1656,definition,
sF40 = $sum(g_s298_298,sF39),
introduced(definition,[new_symbols(definition,[sF40])],[function_definition]) ).
tff(f1657,plain,
$sum(g_s298_298,sF39) = sF40,
inference(reorient_equations,[],[f1656]) ).
tff(f1658,definition,
sF41 = $sum(sF40,1),
introduced(definition,[new_symbols(definition,[sF41])],[function_definition]) ).
tff(f1659,plain,
$sum(sF40,1) = sF41,
inference(reorient_equations,[],[f1658]) ).
tff(f1661,plain,
! [X1: $int] :
( ~ mem4(X1,g_s302_1_314,g_s307_303)
| $less(X1,sF41)
| $less(g_s298_298,X1) ),
inference(definition_folding,[],[f1571,f1659,f1657,f1655]) ).
tff(f1867,definition,
( spl42_38
<=> ( $sum(sF40,1) = sF41 ) ),
introduced(definition,[new_symbols(definition,[spl42_38])],[avatar_definition]) ).
tff(f1870,plain,
spl42_38,
inference(avatar_split_clause,[],[f1659,f1867]) ).
tff(f2226,definition,
( spl42_110
<=> $less(g_s180_180,1) ),
introduced(definition,[new_symbols(definition,[spl42_110])],[avatar_definition]) ).
tff(f2229,plain,
~ spl42_110,
inference(avatar_split_clause,[],[f1221,f2226]) ).
tff(f2581,definition,
( spl42_181
<=> mem4(g_s298_298,g_s302_1_314,g_s307_303) ),
introduced(definition,[new_symbols(definition,[spl42_181])],[avatar_definition]) ).
tff(f2583,plain,
( mem4(g_s298_298,g_s302_1_314,g_s307_303)
| ~ spl42_181 ),
inference(avatar_component_clause,[],[f2581]) ).
tff(f2584,plain,
spl42_181,
inference(avatar_split_clause,[],[f1546,f2581]) ).
tff(f2786,definition,
( spl42_222
<=> ( $sum(g_s298_298,sF39) = sF40 ) ),
introduced(definition,[new_symbols(definition,[spl42_222])],[avatar_definition]) ).
tff(f2789,plain,
spl42_222,
inference(avatar_split_clause,[],[f1657,f2786]) ).
tff(f3106,definition,
( spl42_286
<=> ( $uminus(g_s180_180) = sF39 ) ),
introduced(definition,[new_symbols(definition,[spl42_286])],[avatar_definition]) ).
tff(f3109,plain,
spl42_286,
inference(avatar_split_clause,[],[f1655,f3106]) ).
tff(f4087,plain,
( $less(g_s298_298,sF41)
| $less(g_s298_298,g_s298_298)
| ~ spl42_181 ),
inference(resolution,[],[f2583,f1661]) ).
tff(f4089,definition,
( spl42_483
<=> $less(g_s298_298,sF41) ),
introduced(definition,[new_symbols(definition,[spl42_483])],[avatar_definition]) ).
tff(f4093,definition,
( spl42_484
<=> $less(g_s298_298,g_s298_298) ),
introduced(definition,[new_symbols(definition,[spl42_484])],[avatar_definition]) ).
tff(f4096,plain,
( spl42_483
| spl42_484
| ~ spl42_181 ),
inference(avatar_split_clause,[],[f4087,f2581,f4093,f4089]) ).
tff(f4097,plain,
$false,
inference(avatar_smt_refutation,[],[f4096,f3109,f2789,f2584,f2229,f1870]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC524_1 : TPTP v9.3.1. Bugfixed v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n018.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 09:43:54 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running first-order theorem proving
% 0.09/0.21 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.26/1.21 % (3262492)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.26/1.21 % (3262632)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=4077906601:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.26/1.21 % (3262632)Instruction limit reached!
% 3.26/1.21 % (3262632)------------------------------
% 3.26/1.21 % (3262632)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.26/1.21 % (3262632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.26/1.21 % (3262632)CaDiCaL version: 2.1.3
% 3.26/1.21 % (3262632)Termination reason: Instruction limit
% 3.26/1.21 % (3262632)Termination phase: Preprocessing 2
% 3.26/1.21 % (3262632)Time elapsed: 0.003 s
% 3.26/1.21 % (3262632)Peak memory usage: 86 MB
% 3.26/1.21 % (3262632)Instructions burned: 9 (million)
% 3.26/1.21 % (3262629)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2487461101:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.26/1.21 % (3262631)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2391964671:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.26/1.21 % (3262630)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2991955515:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.26/1.21 % (3262629)Instruction limit reached!
% 3.26/1.21 % (3262629)------------------------------
% 3.26/1.21 % (3262629)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.26/1.21 % (3262629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.26/1.21 % (3262629)CaDiCaL version: 2.1.3
% 3.26/1.21 % (3262629)Termination reason: Instruction limit
% 3.26/1.21 % (3262629)Termination phase: SInE selection
% 3.26/1.21 % (3262629)Time elapsed: 0.007 s
% 3.26/1.21 % (3262629)Peak memory usage: 86 MB
% 3.26/1.21 % (3262629)Instructions burned: 12 (million)
% 3.26/1.21 % (3262634)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2873181358:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.26/1.21 % (3262633)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=4032771520:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.26/1.21 % (3262635)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1681275054:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.26/1.21 % (3262633)Instruction limit reached!
% 3.26/1.21 % (3262633)------------------------------
% 3.26/1.21 % (3262633)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.26/1.21 % (3262633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.26/1.21 % (3262633)CaDiCaL version: 2.1.3
% 3.26/1.21 % (3262633)Termination reason: Instruction limit
% 3.26/1.21 % (3262633)Termination phase: Property scanning
% 3.26/1.21 % (3262633)Time elapsed: 0.003 s
% 3.26/1.21 % (3262633)Peak memory usage: 86 MB
% 3.26/1.21 % (3262633)Instructions burned: 5 (million)
% 3.26/1.21 % (3262635)Instruction limit reached!
% 3.26/1.21 % (3262635)------------------------------
% 3.26/1.21 % (3262635)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.26/1.21 % (3262635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.26/1.21 % (3262635)CaDiCaL version: 2.1.3
% 3.26/1.21 % (3262635)Termination reason: Instruction limit
% 3.26/1.21 % (3262635)Termination phase: Saturation
% 3.26/1.21 % (3262635)Time elapsed: 0.041 s
% 3.26/1.21 % (3262635)Peak memory usage: 113 MB
% 3.26/1.21 % (3262635)Instructions burned: 33 (million)
% 3.26/1.21 % (3262634)Instruction limit reached!
% 3.26/1.21 % (3262634)------------------------------
% 3.26/1.21 % (3262634)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.26/1.21 % (3262634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.26/1.21 % (3262634)CaDiCaL version: 2.1.3
% 3.26/1.21 % (3262634)Termination reason: Instruction limit
% 3.26/1.21 % (3262634)Termination phase: Saturation
% 3.26/1.21 % (3262634)Time elapsed: 0.051 s
% 3.26/1.21 % (3262634)Peak memory usage: 113 MB
% 3.26/1.21 % (3262634)Instructions burned: 47 (million)
% 3.26/1.21 % (3262637)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=3554827589:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.26/1.21 % (3262637)Instruction limit reached!
% 3.26/1.21 % (3262637)------------------------------
% 3.26/1.21 % (3262637)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.26/1.21 % (3262637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.26/1.21 % (3262637)CaDiCaL version: 2.1.3
% 3.26/1.21 % (3262637)Termination reason: Instruction limit
% 3.26/1.21 % (3262637)Termination phase: Property scanning
% 3.26/1.21 % (3262637)Time elapsed: 0.005 s
% 3.26/1.21 % (3262637)Peak memory usage: 87 MB
% 3.26/1.21 % (3262637)Instructions burned: 17 (million)
% 3.26/1.21 % (3262630)First to succeed.
% 3.26/1.21 % (3262630)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3262492"
% 3.26/1.21 % (3262631)Instruction limit reached!
% 3.26/1.21 % (3262631)------------------------------
% 3.26/1.21 % (3262631)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.26/1.21 % (3262631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.26/1.21 % (3262631)CaDiCaL version: 2.1.3
% 3.26/1.21 % (3262631)Termination reason: Instruction limit
% 3.26/1.21 % (3262631)Termination phase: Saturation
% 3.26/1.21 % (3262631)Time elapsed: 0.137 s
% 3.26/1.21 % (3262631)Peak memory usage: 117 MB
% 3.26/1.21 % (3262631)Instructions burned: 202 (million)
% 3.26/1.21 % (3262645)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=3713065052:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 3.26/1.21 % (3262641)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=2289286220:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.26/1.21 % (3262645)Instruction limit reached!
% 3.26/1.21 % (3262645)------------------------------
% 3.26/1.21 % (3262645)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.26/1.21 % (3262645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.26/1.21 % (3262645)CaDiCaL version: 2.1.3
% 3.26/1.21 % (3262645)Termination reason: Instruction limit
% 3.26/1.21 % (3262645)Termination phase: Property scanning
% 3.26/1.21 % (3262645)Time elapsed: 0.009 s
% 3.26/1.21 % (3262645)Peak memory usage: 87 MB
% 3.26/1.21 % (3262645)Instructions burned: 16 (million)
% 3.26/1.22 % (3262641)Instruction limit reached!
% 3.26/1.22 % (3262641)------------------------------
% 3.26/1.22 % (3262641)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.26/1.22 % (3262641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.26/1.22 % (3262641)CaDiCaL version: 2.1.3
% 3.26/1.22 % (3262641)Termination reason: Instruction limit
% 3.26/1.22 % (3262641)Termination phase: Saturation
% 3.26/1.22 % (3262641)Time elapsed: 0.019 s
% 3.26/1.22 % (3262641)Peak memory usage: 89 MB
% 3.26/1.22 % (3262641)Instructions burned: 33 (million)
% 3.26/1.22 % (3262646)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=3785093317:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 3.26/1.22 % (3262649)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=3771287960:i=85:gtgl=4:rtra=on:gtg=exists_sym_2997 on theBenchmark for (2997ds/85Mi)
% 3.26/1.22 % (3262647)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=3299674785:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 3.26/1.22 % (3262646)Instruction limit reached!
% 3.26/1.22 % (3262646)------------------------------
% 3.26/1.22 % (3262646)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.26/1.22 % (3262646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.26/1.22 % (3262646)CaDiCaL version: 2.1.3
% 3.26/1.22 % (3262646)Termination reason: Instruction limit
% 3.26/1.22 % (3262646)Termination phase: Saturation
% 3.26/1.22 % (3262646)Time elapsed: 0.014 s
% 3.26/1.22 % (3262646)Peak memory usage: 89 MB
% 3.26/1.22 % (3262646)Instructions burned: 24 (million)
% 3.26/1.22 % (3262647)Instruction limit reached!
% 3.26/1.22 % (3262647)------------------------------
% 3.26/1.22 % (3262647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.26/1.22 % (3262647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.26/1.22 % (3262647)CaDiCaL version: 2.1.3
% 3.26/1.22 % (3262647)Termination reason: Instruction limit
% 3.26/1.22 % (3262647)Termination phase: Saturation
% 3.26/1.22 % (3262647)Time elapsed: 0.016 s
% 3.26/1.22 % (3262647)Peak memory usage: 89 MB
% 3.26/1.22 % (3262647)Instructions burned: 28 (million)
% 3.26/1.22 % (3262649)Instruction limit reached!
% 3.26/1.22 % (3262649)------------------------------
% 3.26/1.22 % (3262649)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.26/1.22 % (3262649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.26/1.22 % (3262649)CaDiCaL version: 2.1.3
% 3.26/1.22 % (3262649)Termination reason: Instruction limit
% 3.26/1.22 % (3262649)Termination phase: Saturation
% 3.26/1.22 % (3262649)Time elapsed: 0.028 s
% 3.26/1.22 % (3262649)Peak memory usage: 90 MB
% 3.26/1.22 % (3262649)Instructions burned: 87 (million)
% 3.26/1.22 % (3262650)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=594043726:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 3.26/1.22 % (3262650)Instruction limit reached!
% 3.26/1.22 % (3262650)------------------------------
% 3.26/1.22 % (3262650)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.26/1.22 % (3262650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.26/1.22 % (3262650)CaDiCaL version: 2.1.3
% 3.26/1.22 % (3262650)Termination reason: Instruction limit
% 3.26/1.22 % (3262650)Termination phase: Property scanning
% 3.26/1.22 % (3262650)Time elapsed: 0.002 s
% 3.26/1.22 % (3262650)Peak memory usage: 85 MB
% 3.26/1.22 % (3262650)Instructions burned: 3 (million)
% 3.26/1.22 % (3262653)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=3936068992:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 3.26/1.22 % (3262653)Refutation not found, incomplete strategy
% 3.26/1.22 % (3262653)------------------------------
% 3.26/1.22 % (3262653)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.26/1.22 % (3262653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.26/1.22 % (3262653)CaDiCaL version: 2.1.3
% 3.26/1.22 % (3262653)Termination reason: Refutation not found, incomplete strategy
% 3.26/1.22 % (3262653)Time elapsed: 0.011 s
% 3.26/1.22 % (3262653)Peak memory usage: 90 MB
% 3.26/1.22 % (3262653)Instructions burned: 16 (million)
% 3.26/1.22 % (3262654)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=2910259925:i=4:ep=RST:ins=2:rtra=on_2996 on theBenchmark for (2996ds/4Mi)
% 3.26/1.22 % (3262660)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=353841507:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2996 on theBenchmark for (2996ds/8Mi)
% 3.26/1.22 % (3262654)Instruction limit reached!
% 3.26/1.22 % (3262654)------------------------------
% 3.26/1.22 % (3262654)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.26/1.22 % (3262654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.26/1.22 % (3262654)CaDiCaL version: 2.1.3
% 3.26/1.22 % (3262654)Termination reason: Instruction limit
% 3.26/1.22 % (3262654)Termination phase: Property scanning
% 3.26/1.22 % (3262654)Time elapsed: 0.003 s
% 3.26/1.22 % (3262654)Peak memory usage: 86 MB
% 3.26/1.22 % (3262654)Instructions burned: 4 (million)
% 3.26/1.22 % (3262660)Instruction limit reached!
% 3.26/1.22 % (3262660)------------------------------
% 3.26/1.22 % (3262660)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.26/1.22 % (3262660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.26/1.22 % (3262660)CaDiCaL version: 2.1.3
% 3.26/1.22 % (3262660)Termination reason: Instruction limit
% 3.26/1.22 % (3262660)Termination phase: Preprocessing 1
% 3.26/1.22 % (3262660)Time elapsed: 0.003 s
% 3.26/1.22 % (3262660)Peak memory usage: 86 MB
% 3.26/1.22 % (3262660)Instructions burned: 12 (million)
% 3.26/1.22 % (3262658)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=2014197005:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2996 on theBenchmark for (2996ds/66Mi)
% 3.26/1.22 % (3262659)lrs+10_1_thi=all:si=on:fd=off:random_seed=1229808940:i=53:rtra=on:gtg=all_2996 on theBenchmark for (2996ds/53Mi)
% 3.26/1.22 % (3262630)Refutation found. Thanks to Tanya!
% 3.26/1.22 % SZS status Theorem for theBenchmark
% 3.26/1.22 % SZS output start Proof for theBenchmark
% See solution above
% 4.52/1.41 % (3262630)------------------------------
% 4.52/1.41 % (3262630)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.52/1.41 % (3262630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.52/1.41 % (3262630)CaDiCaL version: 2.1.3
% 4.52/1.41 % (3262630)Termination reason: Refutation
% 4.52/1.41 % (3262630)Time elapsed: 0.134 s
% 4.52/1.41 % (3262630)Peak memory usage: 123 MB
% 4.52/1.41 % (3262630)Instructions burned: 183 (million)
% 4.52/1.41 % (3262630)------------------------------
% 4.52/1.41 % (3262630)------------------------------
% 4.52/1.41 % (3262492)Success in time 0.557 s
% 4.52/1.41 % Vampire exiting
%------------------------------------------------------------------------------