%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC523_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 : n003.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 10.85s 2.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 14
% Syntax : Number of formulae : 84 ( 26 unt; 0 typ; 2 def)
% Number of atoms : 263 ( 50 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 281 ( 102 ~; 85 |; 64 &)
% ( 10 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 347 ( 54 atm; 36 fun; 82 num; 175 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 : 49 ( 44 usr; 9 prp; 0-4 aty)
% Number of functors : 482 ( 479 usr; 406 con; 0-2 aty)
% Number of variables : 182 ( 0 sgn 158 !; 24 ?; 182 :)
% 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,
set_3_empty: set_3 ).
tff(func_def_50,type,
set_3_insert: set_3 > set_3 ).
tff(func_def_51,type,
g_s42_42: set_3 ).
tff(func_def_52,type,
set_4_empty: set_4 ).
tff(func_def_53,type,
set_4_insert: set_4 > set_4 ).
tff(func_def_54,type,
g_s43_43: set_4 ).
tff(func_def_55,type,
g_s44_44: set_4 ).
tff(func_def_56,type,
g_s45_45: set_3 ).
tff(func_def_57,type,
g_s46_46: set_4 ).
tff(func_def_58,type,
g_s47_47: set_4 ).
tff(func_def_59,type,
g_s48_48: set_3 ).
tff(func_def_60,type,
g_s49_49: set_4 ).
tff(func_def_61,type,
g_s50_50: set_4 ).
tff(func_def_62,type,
g_s51_51: set_4 ).
tff(func_def_63,type,
g_s52_52: set_4 ).
tff(func_def_64,type,
g_s53_53: set_4 ).
tff(func_def_65,type,
g_s54_54: set_4 ).
tff(func_def_66,type,
g_s55_55: set_4 ).
tff(func_def_67,type,
g_s56_56: set_4 ).
tff(func_def_68,type,
g_s57_57: set_4 ).
tff(func_def_69,type,
g_s58_58: set_4 ).
tff(func_def_70,type,
g_s59_59: set_4 ).
tff(func_def_71,type,
g_s60_60: set_4 ).
tff(func_def_72,type,
g_s66_61: $int ).
tff(func_def_73,type,
g_s67_62: $int ).
tff(func_def_74,type,
g_s68_63: $int ).
tff(func_def_75,type,
g_s69_64: $int ).
tff(func_def_76,type,
g_s70_65: $int ).
tff(func_def_77,type,
g_s71_66: $int ).
tff(func_def_78,type,
g_s72_67: $int ).
tff(func_def_79,type,
g_s73_68: $int ).
tff(func_def_80,type,
g_s74_69: $int ).
tff(func_def_81,type,
g_s75_70: $int ).
tff(func_def_82,type,
g_s76_71: $int ).
tff(func_def_83,type,
g_s77_72: $int ).
tff(func_def_84,type,
g_s78_73: $int ).
tff(func_def_85,type,
g_s79_74: $int ).
tff(func_def_86,type,
g_s80_75: $int ).
tff(func_def_87,type,
g_s81_76: $int ).
tff(func_def_88,type,
g_s82_77: $int ).
tff(func_def_89,type,
g_s83_78: $int ).
tff(func_def_90,type,
g_s84_79: $int ).
tff(func_def_91,type,
g_s85_80: $int ).
tff(func_def_92,type,
g_s86_81: $int ).
tff(func_def_93,type,
g_s87_82: $int ).
tff(func_def_94,type,
g_s88_83: $int ).
tff(func_def_95,type,
g_s89_84: $int ).
tff(func_def_96,type,
g_s90_85: $int ).
tff(func_def_97,type,
g_s91_86: $int ).
tff(func_def_98,type,
g_s92_87: $int ).
tff(func_def_99,type,
g_s93_88: $int ).
tff(func_def_100,type,
g_s94_89: $int ).
tff(func_def_101,type,
g_s95_90: $int ).
tff(func_def_102,type,
g_s96_91: $int ).
tff(func_def_103,type,
g_s97_92: $int ).
tff(func_def_104,type,
g_s98_93: $int ).
tff(func_def_105,type,
g_s99_94: $int ).
tff(func_def_106,type,
g_s100_95: $int ).
tff(func_def_107,type,
g_s101_96: $int ).
tff(func_def_108,type,
g_s102_97: $int ).
tff(func_def_109,type,
g_s103_98: $int ).
tff(func_def_110,type,
g_s104_99: $int ).
tff(func_def_111,type,
g_s105_100: $int ).
tff(func_def_112,type,
g_s106_101: $int ).
tff(func_def_113,type,
g_s107_102: $int ).
tff(func_def_114,type,
g_s108_103: $int ).
tff(func_def_115,type,
g_s109_104: $int ).
tff(func_def_116,type,
g_s110_105: $int ).
tff(func_def_117,type,
g_s111_106: $int ).
tff(func_def_118,type,
g_s112_107: $int ).
tff(func_def_119,type,
g_s113_108: $int ).
tff(func_def_120,type,
g_s114_109: $int ).
tff(func_def_121,type,
g_s115_110: $int ).
tff(func_def_122,type,
g_s116_111: $int ).
tff(func_def_123,type,
g_s117_112: $int ).
tff(func_def_124,type,
g_s118_113: $int ).
tff(func_def_125,type,
g_s119_114: $int ).
tff(func_def_126,type,
g_s120_115: $int ).
tff(func_def_127,type,
g_s121_116: $int ).
tff(func_def_128,type,
g_s122_117: $int ).
tff(func_def_129,type,
g_s123_118: $int ).
tff(func_def_130,type,
g_s124_119: $int ).
tff(func_def_131,type,
g_s125_120: $int ).
tff(func_def_132,type,
g_s126_121: $int ).
tff(func_def_133,type,
g_s127_122: $int ).
tff(func_def_134,type,
g_s128_123: $int ).
tff(func_def_135,type,
g_s129_124: $int ).
tff(func_def_136,type,
g_s130_125: $int ).
tff(func_def_137,type,
g_s131_126: $int ).
tff(func_def_138,type,
g_s132_127: $int ).
tff(func_def_139,type,
g_s133_128: $int ).
tff(func_def_140,type,
g_s134_129: $int ).
tff(func_def_141,type,
g_s135_130: $int ).
tff(func_def_142,type,
g_s136_131: $int ).
tff(func_def_143,type,
g_s137_132: $int ).
tff(func_def_144,type,
g_s138_133: $int ).
tff(func_def_145,type,
g_s139_134: $int ).
tff(func_def_146,type,
g_s140_135: $int ).
tff(func_def_147,type,
g_s141_136: $int ).
tff(func_def_148,type,
g_s142_137: $int ).
tff(func_def_149,type,
g_s143_138: $int ).
tff(func_def_150,type,
g_s144_139: $int ).
tff(func_def_151,type,
g_s145_140: $int ).
tff(func_def_152,type,
g_s146_141: $int ).
tff(func_def_153,type,
g_s147_142: $int ).
tff(func_def_154,type,
g_s148_143: $int ).
tff(func_def_155,type,
g_s149_144: $int ).
tff(func_def_156,type,
g_s150_145: $int ).
tff(func_def_157,type,
g_s151_146: $int ).
tff(func_def_158,type,
g_s152_147: $int ).
tff(func_def_159,type,
g_s153_148: $int ).
tff(func_def_160,type,
g_s154_149: $int ).
tff(func_def_161,type,
g_s155_150: $int ).
tff(func_def_162,type,
g_s156_151: $int ).
tff(func_def_163,type,
g_s157_152: $int ).
tff(func_def_164,type,
g_s158_153: $int ).
tff(func_def_165,type,
g_s159_154: $int ).
tff(func_def_166,type,
g_s160_155: $int ).
tff(func_def_167,type,
g_s161_156: $int ).
tff(func_def_168,type,
g_s162_157: $int ).
tff(func_def_169,type,
g_s163_158: $int ).
tff(func_def_170,type,
g_s164_159: $int ).
tff(func_def_171,type,
g_s165_160: $int ).
tff(func_def_172,type,
g_s166_161: $int ).
tff(func_def_173,type,
g_s167_162: $int ).
tff(func_def_174,type,
g_s168_163: $int ).
tff(func_def_175,type,
g_s169_164: $int ).
tff(func_def_176,type,
g_s170_165: $int ).
tff(func_def_177,type,
g_s171_166: $int ).
tff(func_def_178,type,
g_s172_167: $int ).
tff(func_def_179,type,
g_s173_168: $int ).
tff(func_def_180,type,
g_s174_169: $int ).
tff(func_def_181,type,
g_s175_170: $int ).
tff(func_def_182,type,
g_s176_171: $int ).
tff(func_def_183,type,
g_s177_172: $int ).
tff(func_def_184,type,
g_s178_173: $int ).
tff(func_def_185,type,
g_s179_174: $int ).
tff(func_def_186,type,
g_s180_175: $int ).
tff(func_def_187,type,
g_s181_176: $int ).
tff(func_def_188,type,
g_s182_177: $int ).
tff(func_def_189,type,
g_s183_178: $int ).
tff(func_def_190,type,
g_s184_179: $int ).
tff(func_def_191,type,
g_s185_180: set_0 ).
tff(func_def_192,type,
g_s186_181: set_0 ).
tff(func_def_193,type,
g_s187_182: $int ).
tff(func_def_194,type,
g_s188_183: $int ).
tff(func_def_195,type,
g_s189_184: $int ).
tff(func_def_196,type,
g_s190_185: $int ).
tff(func_def_197,type,
g_s191_186: $int ).
tff(func_def_198,type,
g_s192_187: $int ).
tff(func_def_199,type,
g_s193_188: $int ).
tff(func_def_200,type,
g_s194_189: $int ).
tff(func_def_201,type,
g_s195_190: $int ).
tff(func_def_202,type,
g_s196_191: $int ).
tff(func_def_203,type,
g_s197_192: $int ).
tff(func_def_204,type,
g_s198_193: $int ).
tff(func_def_205,type,
g_s199_194: $int ).
tff(func_def_206,type,
g_s200_195: $int ).
tff(func_def_207,type,
g_s201_196: $int ).
tff(func_def_208,type,
g_s202_197: $int ).
tff(func_def_209,type,
g_s203_198: $int ).
tff(func_def_210,type,
g_s204_199: $int ).
tff(func_def_211,type,
g_s205_200: $int ).
tff(func_def_212,type,
g_s206_201: $int ).
tff(func_def_213,type,
g_s207_202: $int ).
tff(func_def_214,type,
g_s208_203: $int ).
tff(func_def_215,type,
g_s209_204: $int ).
tff(func_def_216,type,
g_s210_205: $int ).
tff(func_def_217,type,
g_s211_206: $int ).
tff(func_def_218,type,
g_s212_207: $int ).
tff(func_def_219,type,
g_s213_208: $int ).
tff(func_def_220,type,
g_s214_209: $int ).
tff(func_def_221,type,
g_s215_210: $int ).
tff(func_def_222,type,
g_s216_211: $int ).
tff(func_def_223,type,
g_s217_212: $int ).
tff(func_def_224,type,
g_s218_213: $int ).
tff(func_def_225,type,
g_s219_214: $int ).
tff(func_def_226,type,
g_s220_215: $int ).
tff(func_def_227,type,
g_s221_216: $int ).
tff(func_def_228,type,
g_s222_217: $int ).
tff(func_def_229,type,
g_s223_218: $int ).
tff(func_def_230,type,
g_s224_219: $int ).
tff(func_def_231,type,
g_s225_220: $int ).
tff(func_def_232,type,
g_s226_221: $int ).
tff(func_def_233,type,
g_s227_222: $int ).
tff(func_def_234,type,
g_s228_223: $int ).
tff(func_def_235,type,
g_s229_224: $int ).
tff(func_def_236,type,
g_s230_225: $int ).
tff(func_def_237,type,
g_s231_226: $int ).
tff(func_def_238,type,
g_s232_227: $int ).
tff(func_def_239,type,
g_s233_228: $int ).
tff(func_def_240,type,
g_s234_229: $int ).
tff(func_def_241,type,
g_s235_230: $int ).
tff(func_def_242,type,
g_s236_231: $int ).
tff(func_def_243,type,
g_s237_232: $int ).
tff(func_def_244,type,
g_s238_233: $int ).
tff(func_def_245,type,
g_s239_234: $int ).
tff(func_def_246,type,
g_s240_235: $int ).
tff(func_def_247,type,
g_s241_236: $int ).
tff(func_def_248,type,
g_s242_237: $int ).
tff(func_def_249,type,
g_s243_238: $int ).
tff(func_def_250,type,
g_s244_239: $int ).
tff(func_def_251,type,
g_s245_240: $int ).
tff(func_def_252,type,
g_s246_241: $int ).
tff(func_def_253,type,
g_s247_242: $int ).
tff(func_def_254,type,
g_s248_243: $int ).
tff(func_def_255,type,
g_s249_244: $int ).
tff(func_def_256,type,
g_s250_245: $int ).
tff(func_def_257,type,
g_s251_246: $int ).
tff(func_def_258,type,
g_s252_247: $int ).
tff(func_def_259,type,
g_s253_248: $int ).
tff(func_def_260,type,
g_s254_249: $int ).
tff(func_def_261,type,
g_s255_250: $int ).
tff(func_def_262,type,
g_s256_251: $int ).
tff(func_def_263,type,
g_s257_252: $int ).
tff(func_def_264,type,
g_s258_253: $int ).
tff(func_def_265,type,
g_s259_254: $int ).
tff(func_def_266,type,
g_s260_255: $int ).
tff(func_def_267,type,
g_s261_256: $int ).
tff(func_def_268,type,
g_s262_257: $int ).
tff(func_def_269,type,
g_s263_258: $int ).
tff(func_def_270,type,
g_s264_259: $int ).
tff(func_def_271,type,
g_s265_260: $int ).
tff(func_def_272,type,
g_s266_261: $int ).
tff(func_def_273,type,
g_s267_262: $int ).
tff(func_def_274,type,
g_s268_263: $int ).
tff(func_def_275,type,
g_s269_264: $int ).
tff(func_def_276,type,
g_s270_265: $int ).
tff(func_def_277,type,
g_s271_266: $int ).
tff(func_def_278,type,
g_s272_267: $int ).
tff(func_def_279,type,
g_s273_268: $int ).
tff(func_def_280,type,
g_s274_269: $int ).
tff(func_def_281,type,
g_s275_270: $int ).
tff(func_def_282,type,
g_s276_271: $int ).
tff(func_def_283,type,
g_s277_272: $int ).
tff(func_def_284,type,
g_s278_273: $int ).
tff(func_def_285,type,
g_s279_274: $int ).
tff(func_def_286,type,
g_s280_275: $int ).
tff(func_def_287,type,
g_s281_276: $int ).
tff(func_def_288,type,
g_s282_277: $int ).
tff(func_def_289,type,
g_s283_278: $int ).
tff(func_def_290,type,
g_s284_279: $int ).
tff(func_def_291,type,
g_s285_280: $int ).
tff(func_def_292,type,
g_s286_281: $int ).
tff(func_def_293,type,
g_s287_282: $int ).
tff(func_def_294,type,
g_s288_283: $int ).
tff(func_def_295,type,
g_s289_284: $int ).
tff(func_def_296,type,
g_s290_285: $int ).
tff(func_def_297,type,
g_s291_286: $int ).
tff(func_def_298,type,
g_s292_287: $int ).
tff(func_def_299,type,
g_s293_288: $int ).
tff(func_def_300,type,
g_s294_289: $int ).
tff(func_def_301,type,
g_s295_290: $int ).
tff(func_def_302,type,
g_s296_291: $int ).
tff(func_def_303,type,
g_s297_292: $int ).
tff(func_def_304,type,
g_s298_293: $int ).
tff(func_def_305,type,
g_s299_294: $int ).
tff(func_def_306,type,
g_s300_295: $int ).
tff(func_def_307,type,
g_s301_296: set_4 ).
tff(func_def_308,type,
g_s302_297: set_3 ).
tff(func_def_309,type,
g_s303_298: set_4 ).
tff(func_def_310,type,
g_s304_299: set_3 ).
tff(func_def_311,type,
g_s305_300: set_4 ).
tff(func_def_312,type,
g_s306_301: set_0 ).
tff(func_def_313,type,
g_s307_302: set_0 ).
tff(func_def_314,type,
g_s308_303: set_0 ).
tff(func_def_315,type,
g_s309_304: set_0 ).
tff(func_def_316,type,
g_s310_305: set_3 ).
tff(func_def_317,type,
g_s311_306: set_3 ).
tff(func_def_318,type,
g_s312_307: set_3 ).
tff(func_def_319,type,
g_s313_308: set_3 ).
tff(func_def_320,type,
g_s314_309: set_0 ).
tff(func_def_321,type,
g_s315_310: set_0 ).
tff(func_def_322,type,
g_s316_311: set_0 ).
tff(func_def_323,type,
g_s317_312: set_0 ).
tff(func_def_324,type,
g_s318_313: set_3 ).
tff(func_def_325,type,
g_s319_314: set_3 ).
tff(func_def_326,type,
g_s320_315: set_0 ).
tff(func_def_327,type,
g_s321_316: set_3 ).
tff(func_def_328,type,
g_s326_317: $int ).
tff(func_def_329,type,
g_s327_318: $int ).
tff(func_def_330,type,
g_s328_319: $int ).
tff(func_def_331,type,
g_s336_320: $int ).
tff(func_def_332,type,
g_s329_321: $int ).
tff(func_def_333,type,
g_s335_322: set_3 ).
tff(func_def_334,type,
g_s331_323: $int ).
tff(func_def_335,type,
g_s337_324: set_3 ).
tff(func_def_336,type,
g_s330_325: $int ).
tff(func_def_337,type,
g_s332_326: $int ).
tff(func_def_338,type,
g_s334_327: $int ).
tff(func_def_339,type,
g_s333_328: $int ).
tff(func_def_340,type,
g_s338_329: set_3 ).
tff(func_def_341,type,
g_s339_1_330: $int ).
tff(func_def_342,type,
g_s340_1_331: $int ).
tff(func_def_343,type,
g_s341_1_332: $int ).
tff(func_def_344,type,
g_s342_1_333: $int ).
tff(func_def_345,type,
g_s343_1_334: $int ).
tff(func_def_346,type,
g_s344_1_335: $int ).
tff(func_def_347,type,
g_s345_1_336: $int ).
tff(func_def_348,type,
g_s346_1_337: $int ).
tff(func_def_349,type,
g_s347_1_338: $int ).
tff(func_def_350,type,
g_s348_1_343: $int ).
tff(func_def_351,type,
g_s349_1_344: $int ).
tff(func_def_352,type,
g_s350_1_345: $int ).
tff(func_def_353,type,
g_s351_1_346: $int ).
tff(func_def_354,type,
g_s352_1_347: $int ).
tff(func_def_355,type,
g_s353_1_348: $int ).
tff(func_def_356,type,
g_s359_349: $int ).
tff(func_def_357,type,
g_s363_350: $int ).
tff(func_def_358,type,
g_s364_351: $int ).
tff(func_def_359,type,
g_s365_352: $int ).
tff(func_def_360,type,
g_s359_1_353: $int ).
tff(func_def_361,type,
g_s363_1_354: $int ).
tff(func_def_362,type,
g_s344_355: $int ).
tff(func_def_363,type,
g_s345_356: $int ).
tff(func_def_364,type,
g_s346_357: $int ).
tff(func_def_365,type,
g_s347_358: $int ).
tff(func_def_366,type,
g_s366_359: $int ).
tff(func_def_379,type,
bG0: $o ).
tff(func_def_382,type,
bG1: $o > $o ).
tff(func_def_383,type,
bG2: $o > $o ).
tff(func_def_384,type,
bG3: $o > $o ).
tff(func_def_385,type,
bG4: $o > $o ).
tff(func_def_386,type,
bG5: $o > $o ).
tff(func_def_387,type,
bG6: $o > $o ).
tff(func_def_388,type,
bG7: $o > $o ).
tff(func_def_389,type,
bG8: $o > $o ).
tff(func_def_390,type,
bG9: $o ).
tff(func_def_391,type,
bG10: $o ).
tff(func_def_392,type,
bG11: $o > $o ).
tff(func_def_393,type,
bG12: $o > $o ).
tff(func_def_394,type,
bG13: $o > $o ).
tff(func_def_395,type,
bG14: $o > $o ).
tff(func_def_396,type,
bG15: $o > $o ).
tff(func_def_397,type,
bG16: $o > $o ).
tff(func_def_398,type,
bG17: $o > $o ).
tff(func_def_399,type,
bG18: $o ).
tff(func_def_400,type,
bG19: $o > $o ).
tff(func_def_401,type,
sK33: $int ).
tff(func_def_402,type,
sK34: set_4 ).
tff(func_def_403,type,
sK35: ( $int * $int ) > $int ).
tff(func_def_404,type,
sK36: set_4 ).
tff(func_def_405,type,
sK37: ( $int * $int ) > $int ).
tff(func_def_406,type,
sK38: set_4 ).
tff(func_def_407,type,
sK39: ( $int * $int ) > $int ).
tff(func_def_408,type,
sK40: $int ).
tff(func_def_409,type,
sK41: $int ).
tff(func_def_410,type,
sK42: set_3 ).
tff(func_def_411,type,
sK43: $int > $int ).
tff(func_def_412,type,
sK44: $int ).
tff(func_def_413,type,
sK45: set_3 ).
tff(func_def_414,type,
sK46: $int > $int ).
tff(func_def_415,type,
sK47: set_3 ).
tff(func_def_416,type,
sK48: $int > $int ).
tff(func_def_417,type,
sK49: set_4 ).
tff(func_def_418,type,
sK50: ( $int * $int ) > $int ).
tff(func_def_419,type,
sK51: $int > $o ).
tff(func_def_420,type,
sK52: $int ).
tff(func_def_421,type,
sK53: ( $int * set_3 ) > $int ).
tff(func_def_422,type,
sK54: ( $int * set_3 ) > $int ).
tff(func_def_423,type,
sK55: ( $int * set_3 ) > $int ).
tff(func_def_424,type,
sK56: ( set_3 * set_3 ) > $int ).
tff(func_def_425,type,
sK57: ( set_3 * set_3 ) > $int ).
tff(func_def_426,type,
sK58: set_3 > $int ).
tff(func_def_427,type,
sK59: set_3 > $int ).
tff(func_def_428,type,
sK60: set_3 > $int ).
tff(func_def_429,type,
sK61: set_3 > $int ).
tff(func_def_430,type,
sK62: set_3 > $int ).
tff(func_def_431,type,
sK63: set_3 > $int ).
tff(func_def_432,type,
sK64: set_3 > $int ).
tff(func_def_433,type,
sK65: set_3 > $int ).
tff(func_def_434,type,
sK66: set_3 ).
tff(func_def_435,type,
sK67: $int > $int ).
tff(func_def_436,type,
sK68: $int ).
tff(func_def_437,type,
sK69: $int ).
tff(func_def_438,type,
sK70: set_4 ).
tff(func_def_439,type,
sK71: ( $int * $int ) > $int ).
tff(func_def_440,type,
sK72: $int > $int ).
tff(func_def_441,type,
sK73: ( $int * $int ) > $int ).
tff(func_def_442,type,
sK74: set_4 ).
tff(func_def_443,type,
sK75: ( $int * $int ) > $int ).
tff(func_def_444,type,
sK76: $int ).
tff(func_def_445,type,
sK77: set_4 ).
tff(func_def_446,type,
sK78: ( $int * $int ) > $int ).
tff(func_def_447,type,
sK79: $int > $int ).
tff(func_def_448,type,
sK80: set_4 ).
tff(func_def_449,type,
sK81: ( $int * $int ) > $int ).
tff(func_def_450,type,
sK82: $int > $o ).
tff(func_def_451,type,
sK83: $int ).
tff(func_def_452,type,
sK84: $int > $o ).
tff(func_def_453,type,
sK85: $int ).
tff(func_def_454,type,
sK86: $int ).
tff(func_def_455,type,
sK87: set_4 ).
tff(func_def_456,type,
sK88: ( $int * $int ) > $int ).
tff(func_def_457,type,
sK89: $int > $int ).
tff(func_def_458,type,
sK90: set_3 > $int ).
tff(func_def_459,type,
sK91: set_3 > $int ).
tff(func_def_460,type,
sK92: set_3 > $int ).
tff(func_def_461,type,
sK93: ( set_3 * set_3 ) > $int ).
tff(func_def_462,type,
sK94: ( set_3 * set_3 ) > $int ).
tff(func_def_463,type,
sK95: ( $int * set_3 ) > $int ).
tff(func_def_464,type,
sK96: ( $int * set_3 ) > $int ).
tff(func_def_465,type,
sK97: set_3 > $int ).
tff(func_def_466,type,
sK98: set_3 > $int ).
tff(func_def_467,type,
sK99: set_3 > $int ).
tff(func_def_468,type,
sK100: set_3 > $int ).
tff(func_def_469,type,
sK101: set_3 > $int ).
tff(func_def_470,type,
sK102: ( $int * set_3 ) > $int ).
tff(func_def_471,type,
sK103: set_3 > $int ).
tff(func_def_472,type,
sK104: set_3 > $int ).
tff(func_def_473,type,
sK105: set_3 > $int ).
tff(func_def_474,type,
sK106: ( set_3 * set_3 ) > $int ).
tff(func_def_475,type,
sK107: ( set_3 * set_3 ) > $int ).
tff(func_def_476,type,
sK108: ( $int * set_3 ) > $int ).
tff(func_def_477,type,
sK109: ( $int * set_3 ) > $int ).
tff(func_def_478,type,
sK110: set_3 > $int ).
tff(func_def_479,type,
sK111: set_3 > $int ).
tff(func_def_480,type,
sK112: set_3 > $int ).
tff(func_def_481,type,
sK113: set_3 > $int ).
tff(func_def_482,type,
sK114: set_3 > $int ).
tff(func_def_483,type,
sK115: ( $int * set_3 ) > $int ).
tff(func_def_484,type,
sK116: set_3 ).
tff(func_def_485,type,
sK117: $int > $int ).
tff(func_def_486,type,
sK118: $int ).
tff(func_def_487,type,
sK119: $int ).
tff(func_def_488,type,
sK120: $int ).
tff(func_def_489,type,
sK121: set_4 ).
tff(func_def_490,type,
sK122: ( $int * $int ) > $int ).
tff(func_def_491,type,
sK123: ( $int * $int ) > $int ).
tff(func_def_492,type,
sK124: set_4 ).
tff(func_def_493,type,
sK125: ( $int * $int ) > $int ).
tff(func_def_494,type,
sK126: set_3 ).
tff(func_def_495,type,
sK127: $int > $int ).
tff(func_def_496,type,
sK128: set_4 ).
tff(func_def_497,type,
sK129: ( $int * $int ) > $int ).
tff(func_def_498,type,
sK130: $o ).
tff(func_def_499,type,
sK131: $int ).
tff(func_def_500,type,
sK132: $o ).
tff(func_def_501,type,
sK133: $int ).
tff(func_def_502,type,
sK134: set_4 ).
tff(func_def_503,type,
sK135: ( $int * $int ) > $int ).
tff(func_def_504,type,
sK136: set_4 ).
tff(func_def_505,type,
sK137: ( $int * $int ) > $int ).
tff(func_def_506,type,
sK138: set_4 ).
tff(func_def_507,type,
sK139: ( $int * $int ) > $int ).
tff(func_def_508,type,
sK140: set_3 ).
tff(func_def_509,type,
sK141: $int > $int ).
tff(func_def_510,type,
sK142: ( $int * $int ) > $int ).
tff(func_def_511,type,
sK143: set_4 ).
tff(func_def_512,type,
sK144: ( $int * $int ) > $int ).
tff(func_def_513,type,
sK145: set_3 ).
tff(func_def_514,type,
sK146: $int > $int ).
tff(func_def_515,type,
sK147: set_4 ).
tff(func_def_516,type,
sK148: ( $int * $int ) > $int ).
tff(func_def_517,type,
sK149: set_4 ).
tff(func_def_518,type,
sK150: ( $int * $int ) > $int ).
tff(func_def_519,type,
sK151: set_4 ).
tff(func_def_520,type,
sK152: ( $int * $int ) > $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 * set_3 ) > $o ).
tff(pred_def_4,type,
mem4: ( $int * $int * $int * set_4 ) > $o ).
tff(pred_def_13,type,
sP20: $int > $o ).
tff(pred_def_14,type,
sP21: set_3 > $o ).
tff(pred_def_15,type,
sP22: set_3 > $o ).
tff(pred_def_16,type,
sP23: ( $int * set_3 ) > $o ).
tff(pred_def_17,type,
sP24: ( $int * set_3 ) > $o ).
tff(pred_def_18,type,
sP25: set_3 > $o ).
tff(pred_def_19,type,
sP26: set_3 > $o ).
tff(pred_def_20,type,
sP27: ( set_3 * $int ) > $o ).
tff(pred_def_21,type,
sP28: set_3 > $o ).
tff(pred_def_22,type,
sP29: set_3 > $o ).
tff(pred_def_23,type,
sP30: set_3 > $o ).
tff(pred_def_24,type,
sP31: ( set_3 * $int ) > $o ).
tff(pred_def_25,type,
sP32: set_3 > $o ).
tff(f363,negated_conjecture,
? [X0: set_4] :
( ! [X7: $int,X5: $int,X6: $int,X4: $int] :
( ( mem4(X5,X4,X7,X0)
& mem4(X5,X4,X6,X0) )
=> ( X6 = X7 ) )
& ! [X9: $int,X8: $int] :
( ? [X10: $int] : mem4(X9,X8,X10,X0)
<=> ( mem0(X9,g_s37_36)
& mem0(X8,g_s37_36) ) )
& ! [X11: $int] :
( ? [X12: $int,X13: $int] : mem4(X13,X12,X11,X0)
=> mem0(X11,g_s37_36) )
& ! [X2: $int,X3: $int,X1: $int] :
( mem4(X3,X2,X1,X0)
<=> mem4(X3,X2,X1,g_s58_58) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Define:ctx:38') ).
tff(f513,axiom,
( $lesseq(g_s363_1_354,$sum(g_s127_122,1))
& $greatereq(g_s363_1_354,0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Local_Hyp:5') ).
tff(f527,axiom,
$lesseq(g_s363_1_354,g_s127_122),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Local_Hyp:19') ).
tff(f535,negated_conjecture,
~ ! [X0: $int] :
( ( X0 = $sum(g_s363_1_354,1) )
=> mem0(X0,g_s307_302) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Local_Hyp:41') ).
tff(f538,negated_conjecture,
~ ! [X0: $int] :
( ( X0 = $sum(g_s363_1_354,1) )
=> mem0(X0,g_s308_303) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Local_Hyp:39') ).
tff(f542,axiom,
! [X1: $int,X0: $int] :
( ( ( X0 = 1 )
& ( X1 = $sum(g_s363_1_354,1) ) )
=> mem4(g_s363_1_354,X0,X1,g_s58_58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Local_Hyp:36') ).
tff(f543,conjecture,
! [X0: $int,X1: $int] :
( ( ! [X3: $int] :
( ( X3 = 1 )
=> mem4(g_s363_1_354,X3,X1,g_s58_58) )
& ! [X2: $int] :
( ( X2 = 1 )
=> mem4(g_s363_1_354,X2,X0,g_s58_58) ) )
=> ( $lesseq(X1,$sum(g_s127_122,1))
& $greatereq(X0,0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Goal') ).
tff(f544,negated_conjecture,
~ ! [X0: $int,X1: $int] :
( ( ! [X3: $int] :
( ( X3 = 1 )
=> mem4(g_s363_1_354,X3,X1,g_s58_58) )
& ! [X2: $int] :
( ( X2 = 1 )
=> mem4(g_s363_1_354,X2,X0,g_s58_58) ) )
=> ( $lesseq(X1,$sum(g_s127_122,1))
& $greatereq(X0,0) ) ),
inference(negated_conjecture,[status(cth)],[f543]) ).
tff(f575,plain,
~ ! [X0: $int,X1: $int] :
( ( ! [X3: $int] :
( ( X3 = 1 )
=> mem4(g_s363_1_354,X3,X1,g_s58_58) )
& ! [X2: $int] :
( ( X2 = 1 )
=> mem4(g_s363_1_354,X2,X0,g_s58_58) ) )
=> ( ~ $less(X0,0)
& ~ $less($sum(g_s127_122,1),X1) ) ),
inference(theory_normalization,[],[f544]) ).
tff(f638,plain,
~ $less(g_s127_122,g_s363_1_354),
inference(theory_normalization,[],[f527]) ).
tff(f722,plain,
( ~ $less($sum(g_s127_122,1),g_s363_1_354)
& ~ $less(g_s363_1_354,0) ),
inference(theory_normalization,[],[f513]) ).
tff(f731,plain,
! [X0: $int,X1: $int] : ( $sum(X1,X0) = $sum(X0,X1) ),
introduced(definition,[],[tha_commutativity]) ).
tff(f736,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(definition,[],[tha_non-reflexivity]) ).
tff(f737,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| ~ $less(X0,X1)
| $less(X0,X2) ),
introduced(definition,[],[tha_transitivity]) ).
tff(f740,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(definition,[],[tha_order_plus_one_dichotomy]) ).
tff(f748,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(X0,1))
| ~ $less(X0,X1) ),
introduced(definition,[],[tha_extra_integer_ordering]) ).
tff(f814,plain,
~ ! [X1: $int,X0: $int] :
( ( ! [X2: $int] :
( ( 1 = X2 )
=> mem4(g_s363_1_354,X2,X1,g_s58_58) )
& ! [X3: $int] :
( ( 1 = X3 )
=> mem4(g_s363_1_354,X3,X0,g_s58_58) ) )
=> ( ~ $less(X0,0)
& ~ $less($sum(g_s127_122,1),X1) ) ),
inference(rectify,[],[f575]) ).
tff(f819,plain,
? [X0: set_4] :
( ! [X3: $int,X2: $int,X1: $int,X4: $int] :
( ( mem4(X2,X4,X1,X0)
& mem4(X2,X4,X3,X0) )
=> ( X1 = X3 ) )
& ! [X8: $int] :
( ? [X10: $int,X9: $int] : mem4(X10,X9,X8,X0)
=> mem0(X8,g_s37_36) )
& ! [X12: $int,X11: $int,X13: $int] :
( mem4(X12,X11,X13,X0)
<=> mem4(X12,X11,X13,g_s58_58) )
& ! [X6: $int,X5: $int] :
( ( mem0(X5,g_s37_36)
& mem0(X6,g_s37_36) )
<=> ? [X7: $int] : mem4(X5,X6,X7,X0) ) ),
inference(rectify,[],[f363]) ).
tff(f852,plain,
! [X0: $int,X1: $int] :
( ( ( 1 = X1 )
& ( $sum(g_s363_1_354,1) = X0 ) )
=> mem4(g_s363_1_354,X1,X0,g_s58_58) ),
inference(rectify,[],[f542]) ).
tff(f888,plain,
? [X0: set_4] :
( ! [X3: $int,X2: $int,X1: $int,X4: $int] :
( ( X1 = X3 )
| ~ mem4(X2,X4,X1,X0)
| ~ mem4(X2,X4,X3,X0) )
& ! [X8: $int] :
( ! [X9: $int,X10: $int] : ~ mem4(X10,X9,X8,X0)
| mem0(X8,g_s37_36) )
& ! [X12: $int,X11: $int,X13: $int] :
( mem4(X12,X11,X13,X0)
<=> mem4(X12,X11,X13,g_s58_58) )
& ! [X6: $int,X5: $int] :
( ( mem0(X5,g_s37_36)
& mem0(X6,g_s37_36) )
<=> ? [X7: $int] : mem4(X5,X6,X7,X0) ) ),
inference(ennf_transformation,[],[f819]) ).
tff(f889,plain,
? [X0: set_4] :
( ! [X12: $int,X11: $int,X13: $int] :
( mem4(X12,X11,X13,X0)
<=> mem4(X12,X11,X13,g_s58_58) )
& ! [X3: $int,X4: $int,X2: $int,X1: $int] :
( ~ mem4(X2,X4,X1,X0)
| ( X1 = X3 )
| ~ mem4(X2,X4,X3,X0) )
& ! [X8: $int] :
( ! [X9: $int,X10: $int] : ~ mem4(X10,X9,X8,X0)
| mem0(X8,g_s37_36) )
& ! [X6: $int,X5: $int] :
( ( mem0(X5,g_s37_36)
& mem0(X6,g_s37_36) )
<=> ? [X7: $int] : mem4(X5,X6,X7,X0) ) ),
inference(flattening,[],[f888]) ).
tff(f897,plain,
? [X0: $int] :
( ( X0 = $sum(g_s363_1_354,1) )
& ~ mem0(X0,g_s308_303) ),
inference(ennf_transformation,[],[f538]) ).
tff(f906,plain,
? [X0: $int] :
( ( X0 = $sum(g_s363_1_354,1) )
& ~ mem0(X0,g_s307_302) ),
inference(ennf_transformation,[],[f535]) ).
tff(f917,plain,
? [X1: $int,X0: $int] :
( ( $less($sum(g_s127_122,1),X1)
| $less(X0,0) )
& ! [X2: $int] :
( ( 1 != X2 )
| mem4(g_s363_1_354,X2,X1,g_s58_58) )
& ! [X3: $int] :
( ( 1 != X3 )
| mem4(g_s363_1_354,X3,X0,g_s58_58) ) ),
inference(ennf_transformation,[],[f814]) ).
tff(f918,plain,
? [X0: $int,X1: $int] :
( ( $less($sum(g_s127_122,1),X1)
| $less(X0,0) )
& ! [X2: $int] :
( ( 1 != X2 )
| mem4(g_s363_1_354,X2,X1,g_s58_58) )
& ! [X3: $int] :
( ( 1 != X3 )
| mem4(g_s363_1_354,X3,X0,g_s58_58) ) ),
inference(flattening,[],[f917]) ).
tff(f928,plain,
! [X0: $int,X1: $int] :
( mem4(g_s363_1_354,X1,X0,g_s58_58)
| ( 1 != X1 )
| ( $sum(g_s363_1_354,1) != X0 ) ),
inference(ennf_transformation,[],[f852]) ).
tff(f929,plain,
! [X0: $int,X1: $int] :
( ( $sum(g_s363_1_354,1) != X0 )
| mem4(g_s363_1_354,X1,X0,g_s58_58)
| ( 1 != X1 ) ),
inference(flattening,[],[f928]) ).
tff(f1027,plain,
( ( $sum(g_s363_1_354,1) = sK40 )
& ~ mem0(sK40,g_s308_303) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK40]),skolemize(X0,sK40)],[f897]) ).
tff(f1035,plain,
( ( $sum(g_s363_1_354,1) = sK44 )
& ~ mem0(sK44,g_s307_302) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK44]),skolemize(X0,sK44)],[f906]) ).
tff(f1188,plain,
( ( $less($sum(g_s127_122,1),sK120)
| $less(sK119,0) )
& ! [X2: $int] :
( ( 1 != X2 )
| mem4(g_s363_1_354,X2,sK120,g_s58_58) )
& ! [X3: $int] :
( ( 1 != X3 )
| mem4(g_s363_1_354,X3,sK119,g_s58_58) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK119,sK120]),skolemize(X0,sK119),skolemize(X1,sK120)],[f918]) ).
tff(f1272,plain,
? [X0: set_4] :
( ! [X12: $int,X11: $int,X13: $int] :
( ( mem4(X12,X11,X13,X0)
| ~ mem4(X12,X11,X13,g_s58_58) )
& ( mem4(X12,X11,X13,g_s58_58)
| ~ mem4(X12,X11,X13,X0) ) )
& ! [X3: $int,X4: $int,X2: $int,X1: $int] :
( ~ mem4(X2,X4,X1,X0)
| ( X1 = X3 )
| ~ mem4(X2,X4,X3,X0) )
& ! [X8: $int] :
( ! [X9: $int,X10: $int] : ~ mem4(X10,X9,X8,X0)
| mem0(X8,g_s37_36) )
& ! [X6: $int,X5: $int] :
( ( ( mem0(X5,g_s37_36)
& mem0(X6,g_s37_36) )
| ! [X7: $int] : ~ mem4(X5,X6,X7,X0) )
& ( ? [X7: $int] : mem4(X5,X6,X7,X0)
| ~ mem0(X5,g_s37_36)
| ~ mem0(X6,g_s37_36) ) ) ),
inference(nnf_transformation,[],[f889]) ).
tff(f1273,plain,
? [X0: set_4] :
( ! [X12: $int,X11: $int,X13: $int] :
( ( mem4(X12,X11,X13,X0)
| ~ mem4(X12,X11,X13,g_s58_58) )
& ( mem4(X12,X11,X13,g_s58_58)
| ~ mem4(X12,X11,X13,X0) ) )
& ! [X3: $int,X4: $int,X2: $int,X1: $int] :
( ~ mem4(X2,X4,X1,X0)
| ( X1 = X3 )
| ~ mem4(X2,X4,X3,X0) )
& ! [X8: $int] :
( ! [X9: $int,X10: $int] : ~ mem4(X10,X9,X8,X0)
| mem0(X8,g_s37_36) )
& ! [X6: $int,X5: $int] :
( ( ( mem0(X5,g_s37_36)
& mem0(X6,g_s37_36) )
| ! [X7: $int] : ~ mem4(X5,X6,X7,X0) )
& ( ? [X7: $int] : mem4(X5,X6,X7,X0)
| ~ mem0(X5,g_s37_36)
| ~ mem0(X6,g_s37_36) ) ) ),
inference(flattening,[],[f1272]) ).
tff(f1274,plain,
? [X0: set_4] :
( ! [X1: $int,X2: $int,X3: $int] :
( ( mem4(X1,X2,X3,X0)
| ~ mem4(X1,X2,X3,g_s58_58) )
& ( mem4(X1,X2,X3,g_s58_58)
| ~ mem4(X1,X2,X3,X0) ) )
& ! [X4: $int,X5: $int,X6: $int,X7: $int] :
( ~ mem4(X6,X5,X7,X0)
| ( X4 = X7 )
| ~ mem4(X6,X5,X4,X0) )
& ! [X8: $int] :
( ! [X9: $int,X10: $int] : ~ mem4(X10,X9,X8,X0)
| mem0(X8,g_s37_36) )
& ! [X11: $int,X12: $int] :
( ( ( mem0(X12,g_s37_36)
& mem0(X11,g_s37_36) )
| ! [X13: $int] : ~ mem4(X12,X11,X13,X0) )
& ( ? [X14: $int] : mem4(X12,X11,X14,X0)
| ~ mem0(X12,g_s37_36)
| ~ mem0(X11,g_s37_36) ) ) ),
inference(rectify,[],[f1273]) ).
tff(f1275,plain,
( ! [X1: $int,X2: $int,X3: $int] :
( ( mem4(X1,X2,X3,sK147)
| ~ mem4(X1,X2,X3,g_s58_58) )
& ( mem4(X1,X2,X3,g_s58_58)
| ~ mem4(X1,X2,X3,sK147) ) )
& ! [X4: $int,X5: $int,X6: $int,X7: $int] :
( ~ mem4(X6,X5,X7,sK147)
| ( X4 = X7 )
| ~ mem4(X6,X5,X4,sK147) )
& ! [X8: $int] :
( ! [X9: $int,X10: $int] : ~ mem4(X10,X9,X8,sK147)
| mem0(X8,g_s37_36) )
& ! [X11: $int,X12: $int] :
( ( ( mem0(X12,g_s37_36)
& mem0(X11,g_s37_36) )
| ! [X13: $int] : ~ mem4(X12,X11,X13,sK147) )
& ( mem4(X12,X11,sK148(X11,X12),sK147)
| ~ mem0(X12,g_s37_36)
| ~ mem0(X11,g_s37_36) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK147,sK148]),skolemize(X0,sK147),skolemize(X14,sK148(X11,X12))],[f1274]) ).
tff(f1372,plain,
$sum(g_s363_1_354,1) = sK40,
inference(cnf_transformation,[],[f1027]) ).
tff(f1401,plain,
$sum(g_s363_1_354,1) = sK44,
inference(cnf_transformation,[],[f1035]) ).
tff(f1751,plain,
~ $less(g_s127_122,g_s363_1_354),
inference(cnf_transformation,[],[f638]) ).
tff(f1806,plain,
~ $less(g_s363_1_354,0),
inference(cnf_transformation,[],[f722]) ).
tff(f1833,plain,
! [X3: $int] :
( ( 1 != X3 )
| mem4(g_s363_1_354,X3,sK119,g_s58_58) ),
inference(cnf_transformation,[],[f1188]) ).
tff(f1834,plain,
! [X2: $int] :
( ( 1 != X2 )
| mem4(g_s363_1_354,X2,sK120,g_s58_58) ),
inference(cnf_transformation,[],[f1188]) ).
tff(f1835,plain,
( $less($sum(g_s127_122,1),sK120)
| $less(sK119,0) ),
inference(cnf_transformation,[],[f1188]) ).
tff(f1959,plain,
! [X0: $int,X1: $int] :
( ( $sum(g_s363_1_354,1) != X0 )
| mem4(g_s363_1_354,X1,X0,g_s58_58)
| ( 1 != X1 ) ),
inference(cnf_transformation,[],[f929]) ).
tff(f2201,plain,
! [X6: $int,X7: $int,X4: $int,X5: $int] :
( ~ mem4(X6,X5,X7,sK147)
| ~ mem4(X6,X5,X4,sK147)
| ( X4 = X7 ) ),
inference(cnf_transformation,[],[f1275]) ).
tff(f2203,plain,
! [X2: $int,X3: $int,X1: $int] :
( ~ mem4(X1,X2,X3,g_s58_58)
| mem4(X1,X2,X3,sK147) ),
inference(cnf_transformation,[],[f1275]) ).
tff(f2366,plain,
mem4(g_s363_1_354,1,sK120,g_s58_58),
inference(equality_resolution,[],[f1834]) ).
tff(f2367,plain,
mem4(g_s363_1_354,1,sK119,g_s58_58),
inference(equality_resolution,[],[f1833]) ).
tff(f2378,plain,
! [X1: $int] :
( mem4(g_s363_1_354,X1,$sum(g_s363_1_354,1),g_s58_58)
| ( 1 != X1 ) ),
inference(equality_resolution,[],[f1959]) ).
tff(f2379,plain,
mem4(g_s363_1_354,1,$sum(g_s363_1_354,1),g_s58_58),
inference(equality_resolution,[],[f2378]) ).
tff(f2493,definition,
( spl153_10
<=> $less(sK119,0) ),
introduced(definition,[new_symbols(definition,[spl153_10])],[avatar_definition]) ).
tff(f2495,plain,
( $less(sK119,0)
| ~ spl153_10 ),
inference(avatar_component_clause,[],[f2493]) ).
tff(f2497,definition,
( spl153_11
<=> $less($sum(g_s127_122,1),sK120) ),
introduced(definition,[new_symbols(definition,[spl153_11])],[avatar_definition]) ).
tff(f2499,plain,
( $less($sum(g_s127_122,1),sK120)
| ~ spl153_11 ),
inference(avatar_component_clause,[],[f2497]) ).
tff(f2500,plain,
( spl153_10
| spl153_11 ),
inference(avatar_split_clause,[],[f1835,f2497,f2493]) ).
tff(f2664,plain,
sK40 = sK44,
inference(superposition,[],[f1401,f1372]) ).
tff(f2697,plain,
mem4(g_s363_1_354,1,sK120,sK147),
inference(resolution,[],[f2203,f2366]) ).
tff(f2698,plain,
mem4(g_s363_1_354,1,sK119,sK147),
inference(resolution,[],[f2203,f2367]) ).
tff(f2897,plain,
! [X0: $int] :
( ~ mem4(g_s363_1_354,1,X0,sK147)
| ( sK120 = X0 ) ),
inference(resolution,[],[f2201,f2697]) ).
tff(f2898,plain,
! [X0: $int] :
( ~ mem4(g_s363_1_354,1,X0,sK147)
| ( sK119 = X0 ) ),
inference(resolution,[],[f2201,f2698]) ).
tff(f2903,plain,
sK120 = sK119,
inference(resolution,[],[f2897,f2698]) ).
tff(f2987,plain,
mem4(g_s363_1_354,1,sK40,g_s58_58),
inference(forward_demodulation,[],[f2379,f1372]) ).
tff(f2988,plain,
mem4(g_s363_1_354,1,sK44,g_s58_58),
inference(forward_demodulation,[],[f2987,f2664]) ).
tff(f2989,plain,
mem4(g_s363_1_354,1,sK44,sK147),
inference(resolution,[],[f2988,f2203]) ).
tff(f2990,plain,
sK119 = sK44,
inference(resolution,[],[f2989,f2898]) ).
tff(f3067,plain,
! [X0: $int] :
( $less(X0,sK44)
| $less(g_s363_1_354,X0) ),
inference(superposition,[],[f740,f1401]) ).
tff(f3073,plain,
! [X0: $int] :
( ~ $less(g_s363_1_354,X0)
| ~ $less(X0,sK44) ),
inference(superposition,[],[f748,f1401]) ).
tff(f3112,plain,
( ! [X0: $int] :
( $less(X0,0)
| ~ $less(X0,sK119) )
| ~ spl153_10 ),
inference(resolution,[],[f737,f2495]) ).
tff(f3115,plain,
( ! [X0: $int] :
( ~ $less(X0,sK44)
| $less(X0,0) )
| ~ spl153_10 ),
inference(forward_demodulation,[],[f3112,f2990]) ).
tff(f3448,plain,
$less(g_s363_1_354,sK44),
inference(resolution,[],[f3067,f736]) ).
tff(f3743,plain,
! [X0: $int] :
( ~ $less($sum(X0,1),sK44)
| $less(X0,g_s363_1_354) ),
inference(resolution,[],[f3073,f740]) ).
tff(f3752,plain,
( $less(g_s363_1_354,0)
| ~ spl153_10 ),
inference(resolution,[],[f3115,f3448]) ).
tff(f3756,plain,
( $false
| ~ spl153_10 ),
inference(forward_subsumption_resolution,[],[f3752,f1806]) ).
tff(f3757,plain,
~ spl153_10,
inference(avatar_contradiction_clause,[],[f3756]) ).
tff(f3758,plain,
( $less($sum(g_s127_122,1),sK119)
| ~ spl153_11 ),
inference(forward_demodulation,[],[f2499,f2903]) ).
tff(f3765,plain,
( $less($sum(g_s127_122,1),sK44)
| ~ spl153_11 ),
inference(forward_demodulation,[],[f3758,f2990]) ).
tff(f3766,plain,
( $less($sum(1,g_s127_122),sK44)
| ~ spl153_11 ),
inference(forward_demodulation,[],[f3765,f731]) ).
tff(f3958,plain,
! [X0: $int] :
( ~ $less($sum(1,X0),sK44)
| $less(X0,g_s363_1_354) ),
inference(superposition,[],[f3743,f731]) ).
tff(f4853,plain,
( $less(g_s127_122,g_s363_1_354)
| ~ spl153_11 ),
inference(resolution,[],[f3958,f3766]) ).
tff(f4868,plain,
( $false
| ~ spl153_11 ),
inference(forward_subsumption_resolution,[],[f4853,f1751]) ).
tff(f4869,plain,
~ spl153_11,
inference(avatar_contradiction_clause,[],[f4868]) ).
cnf(s6,plain,
( spl153_10
| spl153_11 ),
inference(sat_conversion,[],[f2500]) ).
cnf(s91,plain,
~ spl153_10,
inference(sat_conversion,[],[f3757]) ).
cnf(s132,plain,
~ spl153_11,
inference(sat_conversion,[],[f4869]) ).
cnf(s137,plain,
$false,
inference(rat,[],[s6,s132,s91]) ).
tff(f4870,plain,
$false,
inference(avatar_sat_refutation,[],[s137]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC523_1 : TPTP v9.3.1. Bugfixed v9.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.19 % Computer : n003.cluster.edu
% 0.13/0.19 % Model : x86_64 x86_64
% 0.13/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.19 % Memory : 8046.5625MB
% 0.13/0.19 % OS : Linux 6.8.0-71-generic
% 0.13/0.19 % CPULimit : 300
% 0.13/0.19 % WCLimit : 300
% 0.13/0.19 % DateTime : Mon Sep 28 09:43:27 UTC 2026
% 0.13/0.19 % CPUTime :
% 0.13/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.22 Running first-order theorem proving
% 0.13/0.22 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
% 3.40/1.23 % (1473422)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.40/1.23 % (1473502)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2882038228:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.40/1.23 % (1473502)Instruction limit reached!
% 3.40/1.23 % (1473502)------------------------------
% 3.40/1.23 % (1473502)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.40/1.23 % (1473502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/1.23 % (1473502)CaDiCaL version: 2.1.3
% 3.40/1.23 % (1473502)Termination reason: Instruction limit
% 3.40/1.23 % (1473502)Termination phase: Saturation
% 3.40/1.23 % (1473502)Time elapsed: 0.028 s
% 3.40/1.23 % (1473502)Peak memory usage: 114 MB
% 3.40/1.23 % (1473502)Instructions burned: 47 (million)
% 3.40/1.23 % (1473496)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=258910875:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.40/1.23 % (1473499)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3912225115:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.40/1.23 % (1473501)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=234506638:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.40/1.23 % (1473503)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=878069047:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.40/1.23 % (1473495)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=646892343:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.40/1.23 % (1473498)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3455150017:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.40/1.23 % (1473501)Instruction limit reached!
% 3.40/1.23 % (1473501)------------------------------
% 3.40/1.23 % (1473501)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.40/1.23 % (1473501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/1.23 % (1473501)CaDiCaL version: 2.1.3
% 3.40/1.23 % (1473501)Termination reason: Instruction limit
% 3.40/1.23 % (1473501)Termination phase: Including theory axioms
% 3.40/1.23 % (1473501)Time elapsed: 0.003 s
% 3.40/1.23 % (1473501)Peak memory usage: 86 MB
% 3.40/1.23 % (1473501)Instructions burned: 5 (million)
% 3.40/1.23 % (1473495)Instruction limit reached!
% 3.40/1.23 % (1473495)------------------------------
% 3.40/1.23 % (1473495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.40/1.23 % (1473495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/1.23 % (1473495)CaDiCaL version: 2.1.3
% 3.40/1.23 % (1473495)Termination reason: Instruction limit
% 3.40/1.23 % (1473495)Termination phase: Property scanning
% 3.40/1.23 % (1473495)Time elapsed: 0.007 s
% 3.40/1.23 % (1473495)Peak memory usage: 86 MB
% 3.40/1.23 % (1473495)Instructions burned: 13 (million)
% 3.40/1.23 % (1473499)Instruction limit reached!
% 3.40/1.23 % (1473499)------------------------------
% 3.40/1.23 % (1473499)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.40/1.23 % (1473499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/1.23 % (1473499)CaDiCaL version: 2.1.3
% 3.40/1.23 % (1473499)Termination reason: Instruction limit
% 3.40/1.23 % (1473499)Termination phase: Property scanning
% 3.40/1.23 % (1473499)Time elapsed: 0.007 s
% 3.40/1.23 % (1473499)Peak memory usage: 86 MB
% 3.40/1.23 % (1473499)Instructions burned: 9 (million)
% 3.40/1.23 % (1473503)Instruction limit reached!
% 3.40/1.23 % (1473503)------------------------------
% 3.40/1.23 % (1473503)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.40/1.23 % (1473503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/1.23 % (1473503)CaDiCaL version: 2.1.3
% 3.40/1.23 % (1473503)Termination reason: Instruction limit
% 3.40/1.23 % (1473503)Termination phase: Saturation
% 3.40/1.23 % (1473503)Time elapsed: 0.019 s
% 3.40/1.23 % (1473503)Peak memory usage: 88 MB
% 3.40/1.23 % (1473503)Instructions burned: 35 (million)
% 3.40/1.23 % (1473534)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=3591614973:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.40/1.23 % (1473534)Instruction limit reached!
% 3.40/1.23 % (1473534)------------------------------
% 4.72/1.47 % (1473534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/1.47 % (1473534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/1.47 % (1473534)CaDiCaL version: 2.1.3
% 4.72/1.47 % (1473534)Termination reason: Instruction limit
% 4.72/1.47 % (1473534)Termination phase: Preprocessing 3
% 4.72/1.47 % (1473534)Time elapsed: 0.005 s
% 4.72/1.47 % (1473534)Peak memory usage: 87 MB
% 4.72/1.47 % (1473534)Instructions burned: 16 (million)
% 4.72/1.47 % (1473498)Instruction limit reached!
% 4.72/1.47 % (1473498)------------------------------
% 4.72/1.47 % (1473498)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/1.47 % (1473498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/1.47 % (1473498)CaDiCaL version: 2.1.3
% 4.72/1.47 % (1473498)Termination reason: Instruction limit
% 4.72/1.47 % (1473498)Termination phase: Saturation
% 4.72/1.47 % (1473498)Time elapsed: 0.145 s
% 4.72/1.47 % (1473498)Peak memory usage: 118 MB
% 4.72/1.47 % (1473498)Instructions burned: 203 (million)
% 4.72/1.47 % (1473546)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=3123574782:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 4.72/1.47 % (1473547)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=2337440562:i=24:canc=force:rtra=on_2998 on theBenchmark for (2998ds/24Mi)
% 4.72/1.47 % (1473546)Instruction limit reached!
% 4.72/1.47 % (1473546)------------------------------
% 4.72/1.47 % (1473546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/1.47 % (1473546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/1.47 % (1473546)CaDiCaL version: 2.1.3
% 4.72/1.47 % (1473546)Termination reason: Instruction limit
% 4.72/1.47 % (1473546)Termination phase: Preprocessing 3
% 4.72/1.47 % (1473546)Time elapsed: 0.010 s
% 4.72/1.47 % (1473546)Peak memory usage: 87 MB
% 4.72/1.47 % (1473546)Instructions burned: 17 (million)
% 4.72/1.47 % (1473545)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=4204082324:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 4.72/1.47 % (1473547)Instruction limit reached!
% 4.72/1.47 % (1473547)------------------------------
% 4.72/1.47 % (1473547)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/1.47 % (1473547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/1.47 % (1473547)CaDiCaL version: 2.1.3
% 4.72/1.47 % (1473547)Termination reason: Instruction limit
% 4.72/1.47 % (1473547)Termination phase: Property scanning
% 4.72/1.47 % (1473547)Time elapsed: 0.016 s
% 4.72/1.47 % (1473547)Peak memory usage: 88 MB
% 4.72/1.47 % (1473547)Instructions burned: 28 (million)
% 4.72/1.47 % (1473496)Instruction limit reached!
% 4.72/1.47 % (1473496)------------------------------
% 4.72/1.47 % (1473496)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/1.47 % (1473496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/1.47 % (1473496)CaDiCaL version: 2.1.3
% 4.72/1.47 % (1473496)Termination reason: Instruction limit
% 4.72/1.47 % (1473496)Termination phase: Saturation
% 4.72/1.47 % (1473496)Time elapsed: 0.166 s
% 4.72/1.47 % (1473496)Peak memory usage: 117 MB
% 4.72/1.47 % (1473496)Instructions burned: 308 (million)
% 4.72/1.47 % (1473548)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=2651787610:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 4.72/1.47 % (1473545)Instruction limit reached!
% 4.72/1.47 % (1473545)------------------------------
% 4.72/1.47 % (1473545)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/1.47 % (1473545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.72/1.47 % (1473545)CaDiCaL version: 2.1.3
% 4.72/1.47 % (1473545)Termination reason: Instruction limit
% 4.72/1.47 % (1473545)Termination phase: Property scanning
% 4.72/1.47 % (1473545)Time elapsed: 0.017 s
% 4.72/1.47 % (1473545)Peak memory usage: 88 MB
% 4.72/1.47 % (1473545)Instructions burned: 31 (million)
% 4.72/1.47 % (1473548)Instruction limit reached!
% 4.72/1.47 % (1473548)------------------------------
% 4.72/1.47 % (1473548)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.72/1.47 % (1473548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.19/1.69 % (1473548)CaDiCaL version: 2.1.3
% 6.19/1.69 % (1473548)Termination reason: Instruction limit
% 6.19/1.69 % (1473548)Termination phase: Property scanning
% 6.19/1.69 % (1473548)Time elapsed: 0.018 s
% 6.19/1.69 % (1473548)Peak memory usage: 88 MB
% 6.19/1.69 % (1473548)Instructions burned: 32 (million)
% 6.19/1.69 % (1473568)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=408180448:i=85:gtgl=4:rtra=on:gtg=exists_sym_2997 on theBenchmark for (2997ds/85Mi)
% 6.19/1.69 % (1473580)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=2738007013:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 6.19/1.69 % (1473580)Instruction limit reached!
% 6.19/1.69 % (1473580)------------------------------
% 6.19/1.69 % (1473580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.19/1.69 % (1473580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.19/1.69 % (1473580)CaDiCaL version: 2.1.3
% 6.19/1.69 % (1473580)Termination reason: Instruction limit
% 6.19/1.69 % (1473580)Termination phase: Including theory axioms
% 6.19/1.69 % (1473580)Time elapsed: 0.004 s
% 6.19/1.69 % (1473580)Peak memory usage: 86 MB
% 6.19/1.69 % (1473580)Instructions burned: 5 (million)
% 6.19/1.69 % (1473582)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=1568015517:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 6.19/1.69 % (1473583)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=2401698670:i=4:ep=RST:ins=2:rtra=on_2996 on theBenchmark for (2996ds/4Mi)
% 6.19/1.69 % (1473585)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=297468848:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2996 on theBenchmark for (2996ds/66Mi)
% 6.19/1.69 % (1473583)Instruction limit reached!
% 6.19/1.69 % (1473583)------------------------------
% 6.19/1.69 % (1473583)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.19/1.69 % (1473583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.19/1.69 % (1473583)CaDiCaL version: 2.1.3
% 6.19/1.69 % (1473583)Termination reason: Instruction limit
% 6.19/1.69 % (1473583)Termination phase: Including theory axioms
% 6.19/1.69 % (1473583)Time elapsed: 0.003 s
% 6.19/1.69 % (1473583)Peak memory usage: 85 MB
% 6.19/1.69 % (1473583)Instructions burned: 5 (million)
% 6.19/1.69 % (1473568)Instruction limit reached!
% 6.19/1.69 % (1473568)------------------------------
% 6.19/1.69 % (1473568)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.19/1.69 % (1473568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.19/1.69 % (1473568)CaDiCaL version: 2.1.3
% 6.19/1.69 % (1473568)Termination reason: Instruction limit
% 6.19/1.69 % (1473568)Termination phase: Saturation
% 6.19/1.69 % (1473568)Time elapsed: 0.047 s
% 6.19/1.69 % (1473568)Peak memory usage: 91 MB
% 6.19/1.69 % (1473568)Instructions burned: 85 (million)
% 6.19/1.69 % (1473586)lrs+10_1_thi=all:si=on:fd=off:random_seed=11745167:i=53:rtra=on:gtg=all_2996 on theBenchmark for (2996ds/53Mi)
% 6.19/1.69 % (1473587)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=2131013775:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2996 on theBenchmark for (2996ds/8Mi)
% 6.19/1.69 % (1473587)Instruction limit reached!
% 6.19/1.69 % (1473587)------------------------------
% 6.19/1.69 % (1473587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.19/1.69 % (1473587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.19/1.69 % (1473587)CaDiCaL version: 2.1.3
% 6.19/1.69 % (1473587)Termination reason: Instruction limit
% 6.19/1.69 % (1473587)Termination phase: Property scanning
% 6.19/1.69 % (1473587)Time elapsed: 0.005 s
% 6.19/1.69 % (1473587)Peak memory usage: 86 MB
% 6.19/1.69 % (1473587)Instructions burned: 10 (million)
% 6.19/1.69 % (1473586)Instruction limit reached!
% 6.19/1.69 % (1473586)------------------------------
% 6.19/1.69 % (1473586)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.19/1.69 % (1473586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.19/1.69 % (1473586)CaDiCaL version: 2.1.3
% 6.19/1.69 % (1473586)Termination reason: Instruction limit
% 6.19/1.69 % (1473586)Termination phase: Saturation
% 6.19/1.69 % (1473586)Time elapsed: 0.049 s
% 6.19/1.69 % (1473586)Peak memory usage: 113 MB
% 7.54/1.92 % (1473586)Instructions burned: 53 (million)
% 7.54/1.92 % (1473585)Instruction limit reached!
% 7.54/1.92 % (1473585)------------------------------
% 7.54/1.92 % (1473585)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.54/1.92 % (1473585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.54/1.92 % (1473585)CaDiCaL version: 2.1.3
% 7.54/1.92 % (1473585)Termination reason: Instruction limit
% 7.54/1.92 % (1473585)Termination phase: Saturation
% 7.54/1.92 % (1473585)Time elapsed: 0.078 s
% 7.54/1.92 % (1473585)Peak memory usage: 131 MB
% 7.54/1.92 % (1473585)Instructions burned: 69 (million)
% 7.54/1.92 % (1473582)Instruction limit reached!
% 7.54/1.92 % (1473582)------------------------------
% 7.54/1.92 % (1473582)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.54/1.92 % (1473582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.54/1.92 % (1473582)CaDiCaL version: 2.1.3
% 7.54/1.92 % (1473582)Termination reason: Instruction limit
% 7.54/1.92 % (1473582)Termination phase: Saturation
% 7.54/1.92 % (1473582)Time elapsed: 0.110 s
% 7.54/1.92 % (1473582)Peak memory usage: 91 MB
% 7.54/1.92 % (1473582)Instructions burned: 181 (million)
% 7.54/1.92 % (1473590)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=903075436:st=3:i=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/2Mi)
% 7.54/1.92 % (1473590)Instruction limit reached!
% 7.54/1.92 % (1473590)------------------------------
% 7.54/1.92 % (1473590)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.54/1.92 % (1473590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.54/1.92 % (1473590)CaDiCaL version: 2.1.3
% 7.54/1.92 % (1473590)Termination reason: Instruction limit
% 7.54/1.92 % (1473590)Termination phase: Property scanning
% 7.54/1.92 % (1473590)Time elapsed: 0.002 s
% 7.54/1.92 % (1473590)Peak memory usage: 86 MB
% 7.54/1.92 % (1473590)Instructions burned: 3 (million)
% 7.54/1.92 % (1473594)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=26345945:i=2:doe=on:canc=force:asg=cautious:rtra=on_2994 on theBenchmark for (2994ds/2Mi)
% 7.54/1.92 % (1473594)Instruction limit reached!
% 7.54/1.92 % (1473594)------------------------------
% 7.54/1.92 % (1473594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.54/1.92 % (1473594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.54/1.92 % (1473594)CaDiCaL version: 2.1.3
% 7.54/1.92 % (1473594)Termination reason: Instruction limit
% 7.54/1.92 % (1473594)Termination phase: Property scanning
% 7.54/1.92 % (1473594)Time elapsed: 0.003 s
% 7.54/1.92 % (1473594)Peak memory usage: 86 MB
% 7.54/1.92 % (1473594)Instructions burned: 4 (million)
% 7.54/1.92 % (1473598)dis+10_1_si=on:random_seed=3426003738:i=10:ep=R:rtra=on_2994 on theBenchmark for (2994ds/10Mi)
% 7.54/1.92 % (1473596)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=4154032471:i=127:doe=on:rtra=on_2994 on theBenchmark for (2994ds/127Mi)
% 7.54/1.92 % (1473598)Instruction limit reached!
% 7.54/1.92 % (1473598)------------------------------
% 7.54/1.92 % (1473598)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.54/1.92 % (1473598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.54/1.92 % (1473598)CaDiCaL version: 2.1.3
% 7.54/1.92 % (1473598)Termination reason: Instruction limit
% 7.54/1.92 % (1473598)Termination phase: Preprocessing 1
% 7.54/1.92 % (1473598)Time elapsed: 0.011 s
% 7.54/1.92 % (1473598)Peak memory usage: 86 MB
% 7.54/1.92 % (1473598)Instructions burned: 10 (million)
% 7.54/1.92 % (1473599)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=2250092711:i=26:canc=cautious:av=off:rtra=on_2994 on theBenchmark for (2994ds/26Mi)
% 7.54/1.92 % (1473599)Instruction limit reached!
% 7.54/1.92 % (1473599)------------------------------
% 7.54/1.92 % (1473599)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.54/1.92 % (1473599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.54/1.92 % (1473599)CaDiCaL version: 2.1.3
% 7.54/1.92 % (1473599)Termination reason: Instruction limit
% 7.54/1.92 % (1473599)Termination phase: Function definition elimination
% 7.54/1.92 % (1473599)Time elapsed: 0.025 s
% 7.54/1.92 % (1473599)Peak memory usage: 87 MB
% 7.54/1.92 % (1473599)Instructions burned: 27 (million)
% 7.54/1.92 % (1473600)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=2923633841: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)
% 10.81/2.25 % (1473616)ott+1002_1_to=lpo:thi=overlap:prc=on:bsd=on:si=on:gve=cautious:thigen=on:tha=some:random_seed=3712641605:i=13:av=off:rtra=on:gtg=exists_sym:ev=force_2992 on theBenchmark for (2992ds/13Mi)
% 10.81/2.25 % (1473616)Instruction limit reached!
% 10.81/2.25 % (1473616)------------------------------
% 10.81/2.25 % (1473616)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.81/2.25 % (1473616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.81/2.25 % (1473616)CaDiCaL version: 2.1.3
% 10.81/2.25 % (1473616)Termination reason: Instruction limit
% 10.81/2.25 % (1473616)Termination phase: Including theory axioms
% 10.81/2.25 % (1473616)Time elapsed: 0.004 s
% 10.81/2.25 % (1473616)Peak memory usage: 86 MB
% 10.81/2.25 % (1473616)Instructions burned: 13 (million)
% 10.81/2.25 % (1473600)Instruction limit reached!
% 10.81/2.25 % (1473600)------------------------------
% 10.81/2.25 % (1473600)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.81/2.25 % (1473600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.81/2.25 % (1473600)CaDiCaL version: 2.1.3
% 10.81/2.25 % (1473600)Termination reason: Instruction limit
% 10.81/2.25 % (1473600)Termination phase: Property scanning
% 10.81/2.25 % (1473600)Time elapsed: 0.033 s
% 10.81/2.25 % (1473600)Peak memory usage: 88 MB
% 10.81/2.25 % (1473600)Instructions burned: 36 (million)
% 10.81/2.25 % (1473596)Instruction limit reached!
% 10.81/2.25 % (1473596)------------------------------
% 10.81/2.25 % (1473596)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.81/2.25 % (1473596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.81/2.25 % (1473596)CaDiCaL version: 2.1.3
% 10.81/2.25 % (1473596)Termination reason: Instruction limit
% 10.81/2.25 % (1473596)Termination phase: Saturation
% 10.81/2.25 % (1473596)Time elapsed: 0.156 s
% 10.81/2.25 % (1473596)Peak memory usage: 121 MB
% 10.81/2.25 % (1473596)Instructions burned: 128 (million)
% 10.81/2.25 % (1473601)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=2976330693:i=2:fsr=off:rtra=on:inst=on_2993 on theBenchmark for (2993ds/2Mi)
% 10.81/2.25 % (1473601)Instruction limit reached!
% 10.81/2.25 % (1473601)------------------------------
% 10.81/2.25 % (1473601)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.81/2.25 % (1473601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.81/2.25 % (1473601)CaDiCaL version: 2.1.3
% 10.81/2.25 % (1473601)Termination reason: Instruction limit
% 10.81/2.25 % (1473601)Termination phase: Property scanning
% 10.81/2.25 % (1473601)Time elapsed: 0.003 s
% 10.81/2.25 % (1473601)Peak memory usage: 85 MB
% 10.81/2.25 % (1473601)Instructions burned: 2 (million)
% 10.81/2.25 % (1473606)lrs-1011_1_to=kbo:sil=128000:prc=on:si=on:fs=off:tha=off:random_seed=4161866363:i=370:ep=RS:fsr=off:rtra=on_2993 on theBenchmark for (2993ds/370Mi)
% 10.81/2.25 % (1473605)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=640452577:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2993 on theBenchmark for (2993ds/8Mi)
% 10.81/2.25 % (1473605)Instruction limit reached!
% 10.81/2.25 % (1473605)------------------------------
% 10.81/2.25 % (1473605)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.81/2.25 % (1473605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.81/2.25 % (1473605)CaDiCaL version: 2.1.3
% 10.81/2.25 % (1473605)Termination reason: Instruction limit
% 10.81/2.25 % (1473605)Termination phase: Property scanning
% 10.81/2.25 % (1473605)Time elapsed: 0.009 s
% 10.81/2.25 % (1473605)Peak memory usage: 86 MB
% 10.81/2.25 % (1473605)Instructions burned: 8 (million)
% 10.81/2.25 % (1473625)lrs+1010_5_to=lpo:sil=128000:si=on:sp=const_frequency:sos=theory:tha=off:random_seed=3999464419:i=10:rtra=on_2991 on theBenchmark for (2991ds/10Mi)
% 10.81/2.25 % (1473626)lrs+1002_1_to=lpo:thi=strong:sas=z3:si=on:sp=const_frequency:tha=off:random_seed=2318793303:i=71:rtra=on:gtg=exists_top_2991 on theBenchmark for (2991ds/71Mi)
% 10.81/2.25 % (1473625)Instruction limit reached!
% 10.81/2.25 % (1473625)------------------------------
% 10.81/2.25 % (1473625)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.81/2.25 % (1473625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.81/2.25 % (1473625)CaDiCaL version: 2.1.3
% 10.85/2.49 % (1473625)Termination reason: Instruction limit
% 10.85/2.49 % (1473625)Termination phase: Preprocessing 1
% 10.85/2.49 % (1473625)Time elapsed: 0.005 s
% 10.85/2.49 % (1473625)Peak memory usage: 86 MB
% 10.85/2.49 % (1473625)Instructions burned: 10 (million)
% 10.85/2.49 % (1473618)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=3398368618:i=226:rtra=on:gtg=position:ss=axioms_2992 on theBenchmark for (2992ds/226Mi)
% 10.85/2.49 % (1473626)Instruction limit reached!
% 10.85/2.49 % (1473626)------------------------------
% 10.85/2.49 % (1473626)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.85/2.49 % (1473626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.85/2.49 % (1473626)CaDiCaL version: 2.1.3
% 10.85/2.49 % (1473626)Termination reason: Instruction limit
% 10.85/2.49 % (1473626)Termination phase: Saturation
% 10.85/2.49 % (1473626)Time elapsed: 0.102 s
% 10.85/2.49 % (1473626)Peak memory usage: 131 MB
% 10.85/2.49 % (1473626)Instructions burned: 71 (million)
% 10.85/2.49 % (1473634)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=2335245051:i=294:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2991 on theBenchmark for (2991ds/294Mi)
% 10.85/2.49 % (1473629)lrs+1010_1_to=lpo:prlc=on:sil=128000:prc=on:drc=off:si=on:sp=const_max:thsqr=8,1:tha=some:nwc=5:random_seed=2484059327:i=75:doe=on:thsqd=64:canc=force:thsqc=64:rtra=on:thsq=on_2991 on theBenchmark for (2991ds/75Mi)
% 10.85/2.49 % (1473629)Instruction limit reached!
% 10.85/2.49 % (1473629)------------------------------
% 10.85/2.49 % (1473629)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.85/2.49 % (1473629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.85/2.49 % (1473629)CaDiCaL version: 2.1.3
% 10.85/2.49 % (1473629)Termination reason: Instruction limit
% 10.85/2.49 % (1473629)Termination phase: Saturation
% 10.85/2.49 % (1473629)Time elapsed: 0.049 s
% 10.85/2.49 % (1473629)Peak memory usage: 91 MB
% 10.85/2.49 % (1473629)Instructions burned: 76 (million)
% 10.85/2.49 % (1473639)ott+21_1_to=kbo:tgt=full:sas=z3:si=on:tha=off:random_seed=629701451:i=130:kws=inv_frequency:nm=0:rtra=on:gtg=exists_all_2990 on theBenchmark for (2990ds/130Mi)
% 10.85/2.49 % (1473644)lrs+21_1_to=kbo:sil=64000:thi=all:sas=z3:si=on:spb=goal_then_units:tha=off:nwc=3:random_seed=4245093992:i=131:rtra=on_2989 on theBenchmark for (2989ds/131Mi)
% 10.85/2.49 % (1473606)Instruction limit reached!
% 10.85/2.49 % (1473606)------------------------------
% 10.85/2.49 % (1473606)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.85/2.49 % (1473606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.85/2.49 % (1473606)CaDiCaL version: 2.1.3
% 10.85/2.49 % (1473606)Termination reason: Instruction limit
% 10.85/2.49 % (1473606)Termination phase: Saturation
% 10.85/2.49 % (1473606)Time elapsed: 0.292 s
% 10.85/2.49 % (1473606)Peak memory usage: 96 MB
% 10.85/2.49 % (1473606)Instructions burned: 371 (million)
% 10.85/2.49 % (1473639)Instruction limit reached!
% 10.85/2.49 % (1473639)------------------------------
% 10.85/2.49 % (1473639)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.85/2.49 % (1473639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.85/2.49 % (1473639)CaDiCaL version: 2.1.3
% 10.85/2.49 % (1473639)Termination reason: Instruction limit
% 10.85/2.50 % (1473639)Termination phase: Property scanning
% 10.85/2.50 % (1473639)Time elapsed: 0.054 s
% 10.85/2.50 % (1473639)Peak memory usage: 88 MB
% 10.85/2.50 % (1473639)Instructions burned: 132 (million)
% 10.85/2.50 % (1473618)Instruction limit reached!
% 10.85/2.50 % (1473618)------------------------------
% 10.85/2.50 % (1473618)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.85/2.50 % (1473618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.85/2.50 % (1473618)CaDiCaL version: 2.1.3
% 10.85/2.50 % (1473618)Termination reason: Instruction limit
% 10.85/2.50 % (1473618)Termination phase: Saturation
% 10.85/2.50 % (1473618)Time elapsed: 0.191 s
% 10.85/2.50 % (1473618)Peak memory usage: 120 MB
% 10.85/2.50 % (1473618)Instructions burned: 226 (million)
% 10.85/2.50 % (1473644)Instruction limit reached!
% 10.85/2.50 % (1473644)------------------------------
% 10.85/2.50 % (1473644)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.85/2.50 % (1473644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.85/2.50 % (1473644)CaDiCaL version: 2.1.3
% 10.85/2.50 % (1473644)Termination reason: Instruction limit
% 10.85/2.50 % (1473644)Termination phase: Saturation
% 10.85/2.50 % (1473644)Time elapsed: 0.072 s
% 10.85/2.50 % (1473644)Peak memory usage: 138 MB
% 10.85/2.50 % (1473644)Instructions burned: 132 (million)
% 10.85/2.50 % (1473634)Instruction limit reached!
% 10.85/2.50 % (1473634)------------------------------
% 10.85/2.50 % (1473634)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.85/2.50 % (1473634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.85/2.50 % (1473634)CaDiCaL version: 2.1.3
% 10.85/2.50 % (1473634)Termination reason: Instruction limit
% 10.85/2.50 % (1473634)Termination phase: Saturation
% 10.85/2.50 % (1473634)Time elapsed: 0.153 s
% 10.85/2.50 % (1473634)Peak memory usage: 92 MB
% 10.85/2.50 % (1473634)Instructions burned: 295 (million)
% 10.85/2.50 % (1473653)dis+1010_16_to=lpo:sil=64000:thi=strong:sas=z3:si=on:nwc=5:random_seed=3962016295:i=40:gtgl=2:rtra=on:gtg=exists_sym:ev=force_2988 on theBenchmark for (2988ds/40Mi)
% 10.85/2.50 % (1473655)lrs+10_1_to=lpo:sil=64000:si=on:sos=on:urr=on:random_seed=1749603924:i=307:rtra=on:gtg=exists_top_2988 on theBenchmark for (2988ds/307Mi)
% 10.85/2.50 % (1473657)ott+1010_3:1_to=kbo:sil=128000:thi=overlap:sas=z3:si=on:urr=on:tha=off:s2agt=32:random_seed=3557523880:s2a=on:i=598:doe=on:bs=on:canc=cautious:fsr=off:rtra=on_2987 on theBenchmark for (2987ds/598Mi)
% 10.85/2.50 % (1473653)Instruction limit reached!
% 10.85/2.50 % (1473653)------------------------------
% 10.85/2.50 % (1473653)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.85/2.50 % (1473653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.85/2.50 % (1473653)CaDiCaL version: 2.1.3
% 10.85/2.50 % (1473653)Termination reason: Instruction limit
% 10.85/2.50 % (1473653)Termination phase: Property scanning
% 10.85/2.50 % (1473653)Time elapsed: 0.022 s
% 10.85/2.50 % (1473653)Peak memory usage: 88 MB
% 10.85/2.50 % (1473653)Instructions burned: 40 (million)
% 10.85/2.50 % (1473658)lrs+1011_5:1_to=kbo:sil=64000:thi=all:si=on:uwa=ground:br=off:random_seed=2847133962:i=131:canc=cautious:fsr=off:rtra=on_2987 on theBenchmark for (2987ds/131Mi)
% 10.85/2.50 % (1473660)dis+10_1_si=on:random_seed=1667522842:s2a=on:i=1000:rtra=on:gtg=exists_all_2987 on theBenchmark for (2987ds/1000Mi)
% 10.85/2.50 % (1473659)dis+11_1_to=lpo:pum=on:sas=z3:si=on:sp=reverse_arity:sos=theory:thsqr=2,1:tha=some:s2agt=20:random_seed=2080515637:s2pl=no:i=259:sd=10:thsqd=64:thsqc=64:rtra=on:ss=axioms:thsq=on_2987 on theBenchmark for (2987ds/259Mi)
% 10.85/2.50 % (1473660)First to succeed.
% 10.85/2.50 % (1473660)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1473422"
% 10.85/2.50 % (1473661)dis+1010_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_frequency:uwa=off:tha=off:nwc=1:random_seed=1714850916:i=383:fsr=off:rtra=on:ev=force_2987 on theBenchmark for (2987ds/383Mi)
% 10.85/2.50 % (1473658)Instruction limit reached!
% 10.85/2.50 % (1473658)------------------------------
% 10.85/2.50 % (1473658)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.85/2.50 % (1473658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.85/2.50 % (1473658)CaDiCaL version: 2.1.3
% 10.85/2.50 % (1473658)Termination reason: Instruction limit
% 10.85/2.50 % (1473658)Termination phase: Saturation
% 10.85/2.50 % (1473658)Time elapsed: 0.092 s
% 10.85/2.50 % (1473658)Peak memory usage: 116 MB
% 10.85/2.50 % (1473658)Instructions burned: 131 (million)
% 10.85/2.50 % (1473655)Instruction limit reached!
% 10.85/2.50 % (1473655)------------------------------
% 10.85/2.50 % (1473655)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.85/2.50 % (1473655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.85/2.50 % (1473655)CaDiCaL version: 2.1.3
% 10.85/2.50 % (1473655)Termination reason: Instruction limit
% 10.85/2.50 % (1473655)Termination phase: Saturation
% 10.85/2.50 % (1473655)Time elapsed: 0.165 s
% 10.85/2.50 % (1473655)Peak memory usage: 95 MB
% 10.85/2.50 % (1473655)Instructions burned: 309 (million)
% 10.85/2.50 % (1473665)lrs+10_1_to=kbo:sil=64000:si=on:norm_ineq=on:sp=unary_frequency:random_seed=242322342:i=141:doe=on:rtra=on_2986 on theBenchmark for (2986ds/141Mi)
% 10.85/2.50 % (1473657)Refutation not found, SMT solver inside AVATAR returned Unknown
% 10.85/2.50 % (1473657)------------------------------
% 10.85/2.50 % (1473657)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.85/2.50 % (1473657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.85/2.50 % (1473657)CaDiCaL version: 2.1.3
% 10.85/2.50 % (1473657)Termination reason: Refutation not found, SMT solver inside AVATAR returned Unknown
% 10.85/2.50 % (1473657)Time elapsed: 0.243 s
% 10.85/2.50 % (1473657)Peak memory usage: 141 MB
% 10.85/2.50 % (1473657)Instructions burned: 323 (million)
% 10.85/2.50 % (1473657)------------------------------
% 10.85/2.50 % (1473657)------------------------------
% 10.85/2.50 % (1473660)Refutation found. Thanks to Tanya!
% 10.85/2.50 % SZS status Theorem for theBenchmark
% 10.85/2.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/2.70 % (1473660)------------------------------
% 0.20/2.70 % (1473660)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/2.70 % (1473660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/2.70 % (1473660)CaDiCaL version: 2.1.3
% 0.20/2.70 % (1473660)Termination reason: Refutation
% 0.20/2.70 % (1473660)Time elapsed: 0.053 s
% 0.20/2.70 % (1473660)Peak memory usage: 93 MB
% 0.20/2.70 % (1473660)Instructions burned: 158 (million)
% 0.20/2.70 % (1473660)------------------------------
% 0.20/2.70 % (1473660)------------------------------
% 0.20/2.70 % (1473422)Success in time 1.831 s
% 0.20/2.70 % Vampire exiting
%------------------------------------------------------------------------------