%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC543_1 : TPTP v9.3.1. Bugfixed v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:04:13 PM UTC 2026
% Result : Theorem 4.37s 1.30s
% Output : Refutation 4.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 51 ( 7 unt; 0 typ; 3 def)
% Number of atoms : 128 ( 2 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 131 ( 54 ~; 54 |; 14 &)
% ( 8 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number arithmetic : 71 ( 47 atm; 0 fun; 17 num; 7 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 : 27 ( 22 usr; 4 prp; 0-4 aty)
% Number of functors : 391 ( 390 usr; 318 con; 0-2 aty)
% Number of variables : 7 ( 0 sgn 7 !; 0 ?; 7 :)
% 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,
divB: ( $int * $int ) > $int ).
tff(func_def_8,type,
iexp: ( $int * $int ) > $int ).
tff(func_def_12,type,
g_s0_0: set_0 ).
tff(func_def_13,type,
set_2_empty: set_2 ).
tff(func_def_14,type,
set_2_insert: set_2 > set_2 ).
tff(func_def_15,type,
g_s1_1: set_0 ).
tff(func_def_16,type,
g_s2_2: set_0 ).
tff(func_def_17,type,
g_s3_3: set_0 ).
tff(func_def_18,type,
g_s4_4: set_0 ).
tff(func_def_19,type,
g_s5_5: set_0 ).
tff(func_def_20,type,
g_s6_6: set_0 ).
tff(func_def_21,type,
g_s7_7: set_0 ).
tff(func_def_22,type,
g_s8_8: set_0 ).
tff(func_def_23,type,
g_s9_9: set_0 ).
tff(func_def_24,type,
g_s10_10: $int ).
tff(func_def_25,type,
g_s11_11: $int ).
tff(func_def_26,type,
g_s12_12: $int ).
tff(func_def_27,type,
g_s13_13: $int ).
tff(func_def_28,type,
g_s14_14: $int ).
tff(func_def_29,type,
g_s15_15: $int ).
tff(func_def_30,type,
g_s16_16: $int ).
tff(func_def_31,type,
g_s17_17: $int ).
tff(func_def_32,type,
g_s18_18: $int ).
tff(func_def_33,type,
g_s19_19: $int ).
tff(func_def_34,type,
g_s20_20: $int ).
tff(func_def_35,type,
g_s21_21: $int ).
tff(func_def_36,type,
g_s22_22: $int ).
tff(func_def_37,type,
g_s23_23: $int ).
tff(func_def_38,type,
g_s24_24: $int ).
tff(func_def_39,type,
g_s25_25: $int ).
tff(func_def_40,type,
g_s26_26: $int ).
tff(func_def_41,type,
g_s27_27: $int ).
tff(func_def_42,type,
g_s28_28: $int ).
tff(func_def_43,type,
g_s29_29: $int ).
tff(func_def_44,type,
g_s30_30: $int ).
tff(func_def_45,type,
g_s31_31: $int ).
tff(func_def_46,type,
g_s32_32: $int ).
tff(func_def_47,type,
g_s33_33: $int ).
tff(func_def_48,type,
g_s34_34: $int ).
tff(func_def_49,type,
g_s35_35: $int ).
tff(func_def_50,type,
g_s36_36: $int ).
tff(func_def_51,type,
g_s37_37: $int ).
tff(func_def_52,type,
g_s38_38: $int ).
tff(func_def_53,type,
g_s39_39: $int ).
tff(func_def_54,type,
g_s40_40: $int ).
tff(func_def_55,type,
g_s41_41: $int ).
tff(func_def_56,type,
g_s42_42: $int ).
tff(func_def_57,type,
g_s43_43: $int ).
tff(func_def_58,type,
g_s44_44: $int ).
tff(func_def_59,type,
g_s45_45: $int ).
tff(func_def_60,type,
g_s46_46: $int ).
tff(func_def_61,type,
g_s47_47: $int ).
tff(func_def_62,type,
g_s48_48: $int ).
tff(func_def_63,type,
g_s49_49: $int ).
tff(func_def_64,type,
g_s50_50: $int ).
tff(func_def_65,type,
g_s51_51: $int ).
tff(func_def_66,type,
g_s52_52: $int ).
tff(func_def_67,type,
g_s53_53: $int ).
tff(func_def_68,type,
g_s54_54: $int ).
tff(func_def_69,type,
g_s55_55: $int ).
tff(func_def_70,type,
g_s56_56: $int ).
tff(func_def_71,type,
g_s57_57: $int ).
tff(func_def_72,type,
g_s58_58: $int ).
tff(func_def_73,type,
g_s59_59: $int ).
tff(func_def_74,type,
g_s60_60: $int ).
tff(func_def_75,type,
g_s61_61: $int ).
tff(func_def_76,type,
g_s62_62: $int ).
tff(func_def_77,type,
g_s63_63: $int ).
tff(func_def_78,type,
g_s64_64: $int ).
tff(func_def_79,type,
g_s65_65: $int ).
tff(func_def_80,type,
g_s66_66: $int ).
tff(func_def_81,type,
g_s67_67: $int ).
tff(func_def_82,type,
g_s68_68: $int ).
tff(func_def_83,type,
g_s69_69: $int ).
tff(func_def_84,type,
g_s70_70: $int ).
tff(func_def_85,type,
g_s71_71: $int ).
tff(func_def_86,type,
g_s72_72: $int ).
tff(func_def_87,type,
g_s73_73: $int ).
tff(func_def_88,type,
g_s74_74: $int ).
tff(func_def_89,type,
g_s75_75: $int ).
tff(func_def_90,type,
g_s76_76: $int ).
tff(func_def_91,type,
g_s77_77: $int ).
tff(func_def_92,type,
g_s78_78: $int ).
tff(func_def_93,type,
g_s79_79: $int ).
tff(func_def_94,type,
g_s80_80: $int ).
tff(func_def_95,type,
g_s81_81: $int ).
tff(func_def_96,type,
g_s82_82: $int ).
tff(func_def_97,type,
g_s83_83: $int ).
tff(func_def_98,type,
g_s84_84: $int ).
tff(func_def_99,type,
g_s85_85: $int ).
tff(func_def_100,type,
g_s86_86: $int ).
tff(func_def_101,type,
g_s87_87: $int ).
tff(func_def_102,type,
g_s88_88: $int ).
tff(func_def_103,type,
g_s89_89: $int ).
tff(func_def_104,type,
g_s90_90: $int ).
tff(func_def_105,type,
g_s91_91: $int ).
tff(func_def_106,type,
g_s92_92: $int ).
tff(func_def_107,type,
g_s93_93: $int ).
tff(func_def_108,type,
g_s94_94: $int ).
tff(func_def_109,type,
g_s95_95: $int ).
tff(func_def_110,type,
g_s96_96: $int ).
tff(func_def_111,type,
g_s97_97: $int ).
tff(func_def_112,type,
g_s98_98: $int ).
tff(func_def_113,type,
g_s99_99: $int ).
tff(func_def_114,type,
g_s100_100: $int ).
tff(func_def_115,type,
g_s101_101: $int ).
tff(func_def_116,type,
g_s102_102: $int ).
tff(func_def_117,type,
g_s103_103: $int ).
tff(func_def_118,type,
g_s104_104: $int ).
tff(func_def_119,type,
g_s105_105: $int ).
tff(func_def_120,type,
g_s106_106: $int ).
tff(func_def_121,type,
g_s107_107: $int ).
tff(func_def_122,type,
g_s108_108: $int ).
tff(func_def_123,type,
g_s109_109: $int ).
tff(func_def_124,type,
g_s110_110: $int ).
tff(func_def_125,type,
g_s111_111: $int ).
tff(func_def_126,type,
g_s112_112: $int ).
tff(func_def_127,type,
g_s113_113: $int ).
tff(func_def_128,type,
g_s114_114: $int ).
tff(func_def_129,type,
g_s115_115: $int ).
tff(func_def_130,type,
g_s116_116: $int ).
tff(func_def_131,type,
g_s117_117: $int ).
tff(func_def_132,type,
g_s118_118: $int ).
tff(func_def_133,type,
g_s119_119: $int ).
tff(func_def_134,type,
g_s120_120: $int ).
tff(func_def_135,type,
g_s121_121: $int ).
tff(func_def_136,type,
g_s122_122: $int ).
tff(func_def_137,type,
g_s123_123: $int ).
tff(func_def_138,type,
g_s124_124: $int ).
tff(func_def_139,type,
g_s125_125: $int ).
tff(func_def_140,type,
g_s126_126: $int ).
tff(func_def_141,type,
g_s127_127: $int ).
tff(func_def_142,type,
g_s128_128: $int ).
tff(func_def_143,type,
g_s129_129: $int ).
tff(func_def_144,type,
g_s130_130: $int ).
tff(func_def_145,type,
g_s131_131: $int ).
tff(func_def_146,type,
g_s132_132: $int ).
tff(func_def_147,type,
g_s133_133: $int ).
tff(func_def_148,type,
g_s134_134: $int ).
tff(func_def_149,type,
g_s135_135: $int ).
tff(func_def_150,type,
g_s136_136: $int ).
tff(func_def_151,type,
g_s137_137: $int ).
tff(func_def_152,type,
g_s138_138: $int ).
tff(func_def_153,type,
g_s139_139: $int ).
tff(func_def_154,type,
g_s140_140: $int ).
tff(func_def_155,type,
g_s141_141: $int ).
tff(func_def_156,type,
g_s142_142: set_0 ).
tff(func_def_157,type,
set_3_empty: set_3 ).
tff(func_def_158,type,
set_3_insert: set_3 > set_3 ).
tff(func_def_159,type,
g_s143_143: set_3 ).
tff(func_def_160,type,
set_4_empty: set_4 ).
tff(func_def_161,type,
set_4_insert: set_4 > set_4 ).
tff(func_def_162,type,
g_s146_144: set_4 ).
tff(func_def_163,type,
g_s147_145: set_2 ).
tff(func_def_164,type,
g_s149_146: set_2 ).
tff(func_def_165,type,
g_s151_147: $int ).
tff(func_def_166,type,
g_s152_148: $int ).
tff(func_def_167,type,
g_s153_149: $int ).
tff(func_def_168,type,
g_s154_150: $int ).
tff(func_def_169,type,
g_s155_151: $int ).
tff(func_def_170,type,
g_s219_160: set_0 ).
tff(func_def_171,type,
g_s220_161: set_0 ).
tff(func_def_172,type,
g_s221_162: set_0 ).
tff(func_def_173,type,
g_s222_163: set_0 ).
tff(func_def_174,type,
g_s223_164: set_0 ).
tff(func_def_175,type,
g_s224_157: set_0 ).
tff(func_def_176,type,
g_s225_165: $int ).
tff(func_def_177,type,
g_s226_156: set_2 ).
tff(func_def_178,type,
g_s227_159: set_0 ).
tff(func_def_179,type,
g_s228_166: $int ).
tff(func_def_180,type,
g_s229_158: set_2 ).
tff(func_def_181,type,
g_s230_153: set_0 ).
tff(func_def_182,type,
g_s231_167: $int ).
tff(func_def_183,type,
g_s232_152: set_2 ).
tff(func_def_184,type,
g_s233_155: set_0 ).
tff(func_def_185,type,
g_s234_168: $int ).
tff(func_def_186,type,
g_s235_154: set_2 ).
tff(func_def_187,type,
g_s236_169: $int ).
tff(func_def_188,type,
g_s237_170: set_0 ).
tff(func_def_189,type,
g_s238_171: set_0 ).
tff(func_def_190,type,
g_s239_172: $int ).
tff(func_def_191,type,
g_s240_173: set_0 ).
tff(func_def_192,type,
g_s241_174: set_0 ).
tff(func_def_193,type,
g_s242_175: $int ).
tff(func_def_194,type,
g_s243_176: set_0 ).
tff(func_def_195,type,
g_s244_177: set_0 ).
tff(func_def_196,type,
g_s245_178: $int ).
tff(func_def_197,type,
g_s158_181: $int ).
tff(func_def_198,type,
g_s159_182: $int ).
tff(func_def_199,type,
g_s160_183: $int ).
tff(func_def_200,type,
g_s161_184: $int ).
tff(func_def_201,type,
g_s162_185: $int ).
tff(func_def_202,type,
g_s163_186: $int ).
tff(func_def_203,type,
g_s164_187: $int ).
tff(func_def_204,type,
g_s165_188: $int ).
tff(func_def_205,type,
g_s166_189: $int ).
tff(func_def_206,type,
g_s167_190: $int ).
tff(func_def_207,type,
g_s168_191: $int ).
tff(func_def_208,type,
g_s169_192: $int ).
tff(func_def_209,type,
g_s170_193: $int ).
tff(func_def_210,type,
g_s171_194: $int ).
tff(func_def_211,type,
g_s172_195: $int ).
tff(func_def_212,type,
g_s173_196: $int ).
tff(func_def_213,type,
g_s174_197: $int ).
tff(func_def_214,type,
g_s175_198: $int ).
tff(func_def_215,type,
g_s176_199: $int ).
tff(func_def_216,type,
g_s177_200: $int ).
tff(func_def_217,type,
g_s178_201: $int ).
tff(func_def_218,type,
g_s179_202: $int ).
tff(func_def_219,type,
g_s180_203: $int ).
tff(func_def_220,type,
g_s181_204: $int ).
tff(func_def_221,type,
g_s182_205: $int ).
tff(func_def_222,type,
g_s183_206: $int ).
tff(func_def_223,type,
g_s184_207: $int ).
tff(func_def_224,type,
g_s185_208: $int ).
tff(func_def_225,type,
g_s186_209: $int ).
tff(func_def_226,type,
g_s187_210: $int ).
tff(func_def_227,type,
g_s188_211: $int ).
tff(func_def_228,type,
g_s189_212: $int ).
tff(func_def_229,type,
g_s190_213: $int ).
tff(func_def_230,type,
g_s191_214: $int ).
tff(func_def_231,type,
g_s192_215: $int ).
tff(func_def_232,type,
g_s193_216: $int ).
tff(func_def_233,type,
g_s194_217: $int ).
tff(func_def_234,type,
g_s195_218: $int ).
tff(func_def_235,type,
g_s196_219: $int ).
tff(func_def_236,type,
g_s197_220: $int ).
tff(func_def_237,type,
g_s198_221: $int ).
tff(func_def_238,type,
g_s199_222: $int ).
tff(func_def_239,type,
g_s200_223: $int ).
tff(func_def_240,type,
g_s201_224: $int ).
tff(func_def_241,type,
g_s202_225: $int ).
tff(func_def_242,type,
g_s203_226: $int ).
tff(func_def_243,type,
g_s204_227: $int ).
tff(func_def_244,type,
g_s205_228: $int ).
tff(func_def_245,type,
g_s206_229: $int ).
tff(func_def_246,type,
g_s207_230: $int ).
tff(func_def_247,type,
g_s208_231: $int ).
tff(func_def_248,type,
g_s209_232: $int ).
tff(func_def_249,type,
g_s210_233: $int ).
tff(func_def_250,type,
g_s211_234: $int ).
tff(func_def_251,type,
g_s212_235: $int ).
tff(func_def_252,type,
g_s213_236: $int ).
tff(func_def_253,type,
g_s214_237: $int ).
tff(func_def_254,type,
g_s215_238: $int ).
tff(func_def_255,type,
g_s216_239: $int ).
tff(func_def_256,type,
g_s217_240: $int ).
tff(func_def_257,type,
g_s218_241: $int ).
tff(func_def_258,type,
g_s246_1_242: $int ).
tff(func_def_259,type,
g_s253_247: $int ).
tff(func_def_321,type,
bG0: $o > $o ).
tff(func_def_322,type,
bG1: $o > $o ).
tff(func_def_323,type,
bG2: $o > $o ).
tff(func_def_324,type,
bG3: $o > $o ).
tff(func_def_325,type,
bG4: $o > $o ).
tff(func_def_326,type,
bG5: $o > $o ).
tff(func_def_327,type,
bG6: $o > $o ).
tff(func_def_328,type,
sK15: $int ).
tff(func_def_329,type,
sK16: $int ).
tff(func_def_330,type,
sK17: set_2 ).
tff(func_def_331,type,
sK18: $int > $int ).
tff(func_def_332,type,
sK19: set_2 ).
tff(func_def_333,type,
sK20: $int > $int ).
tff(func_def_334,type,
sK21: $int ).
tff(func_def_335,type,
sK22: set_2 ).
tff(func_def_336,type,
sK23: $int ).
tff(func_def_337,type,
sK24: $int > $int ).
tff(func_def_338,type,
sK25: set_2 ).
tff(func_def_339,type,
sK26: $int > $int ).
tff(func_def_340,type,
sK27: $int ).
tff(func_def_341,type,
sK28: $int ).
tff(func_def_342,type,
sK29: set_2 ).
tff(func_def_343,type,
sK30: set_2 ).
tff(func_def_344,type,
sK31: $int > $int ).
tff(func_def_345,type,
sK32: $int > $int ).
tff(func_def_346,type,
sK33: $int ).
tff(func_def_347,type,
sK34: $int ).
tff(func_def_348,type,
sK35: set_2 ).
tff(func_def_349,type,
sK36: $int > $int ).
tff(func_def_350,type,
sK37: set_2 ).
tff(func_def_351,type,
sK38: $int > $int ).
tff(func_def_352,type,
sK39: $int ).
tff(func_def_353,type,
sK40: set_2 ).
tff(func_def_354,type,
sK41: $int ).
tff(func_def_355,type,
sK42: set_2 ).
tff(func_def_356,type,
sK43: $int > $int ).
tff(func_def_357,type,
sK44: $int > $int ).
tff(func_def_358,type,
sK45: ( $int * $int ) > $int ).
tff(func_def_359,type,
sK46: set_2 ).
tff(func_def_360,type,
sK47: $int ).
tff(func_def_361,type,
sK48: set_2 ).
tff(func_def_362,type,
sK49: $int > $int ).
tff(func_def_363,type,
sK50: $int > $int ).
tff(func_def_364,type,
sK51: $int ).
tff(func_def_365,type,
sK52: $int ).
tff(func_def_366,type,
sK53: $int ).
tff(func_def_367,type,
sK54: set_2 ).
tff(func_def_368,type,
sK55: $int > $int ).
tff(func_def_369,type,
sK56: set_2 ).
tff(func_def_370,type,
sK57: $int > $int ).
tff(func_def_371,type,
sK58: set_3 ).
tff(func_def_372,type,
sK59: ( $int * $int ) > $int ).
tff(func_def_373,type,
sK60: set_2 ).
tff(func_def_374,type,
sK61: $int ).
tff(func_def_375,type,
sK62: $int > $int ).
tff(func_def_376,type,
sK63: set_2 ).
tff(func_def_377,type,
sK64: $int > $int ).
tff(func_def_378,type,
sK65: $int ).
tff(func_def_379,type,
sK66: ( $int * set_2 ) > $int ).
tff(func_def_380,type,
sK67: ( $int * set_2 ) > $int ).
tff(func_def_381,type,
sK68: set_2 > $int ).
tff(func_def_382,type,
sK69: set_2 > $int ).
tff(func_def_383,type,
sK70: ( set_2 * set_2 ) > $int ).
tff(func_def_384,type,
sK71: ( set_2 * set_2 ) > $int ).
tff(func_def_385,type,
sK72: ( $int * set_2 ) > $int ).
tff(func_def_386,type,
sK73: ( $int * set_2 ) > $int ).
tff(func_def_387,type,
sK74: set_2 > $int ).
tff(func_def_388,type,
sK75: set_2 > $int ).
tff(func_def_389,type,
sK76: set_2 > $int ).
tff(func_def_390,type,
sK77: set_2 > $int ).
tff(func_def_391,type,
sK78: set_2 > $int ).
tff(func_def_392,type,
sK79: set_2 > $int ).
tff(func_def_393,type,
sK80: ( set_2 * set_2 ) > $int ).
tff(func_def_394,type,
sK81: ( set_2 * set_2 ) > $int ).
tff(func_def_395,type,
sK82: ( $int * set_2 ) > $int ).
tff(func_def_396,type,
sK83: ( $int * set_2 ) > $int ).
tff(func_def_397,type,
sK84: set_2 > $int ).
tff(func_def_398,type,
sK85: set_2 > $int ).
tff(func_def_399,type,
sK86: set_2 > $int ).
tff(func_def_400,type,
sK87: set_2 > $int ).
tff(func_def_401,type,
sK88: set_2 > $int ).
tff(func_def_402,type,
sK89: set_2 > $int ).
tff(func_def_403,type,
sK90: set_2 > $int ).
tff(func_def_404,type,
sK91: set_2 > $int ).
tff(func_def_405,type,
sK92: $int ).
tff(func_def_406,type,
sK93: set_2 ).
tff(func_def_407,type,
sK94: $int > $int ).
tff(func_def_408,type,
sK95: $int > $int ).
tff(func_def_409,type,
sK96: $int ).
tff(func_def_410,type,
sK97: $int > $int ).
tff(func_def_411,type,
sK98: set_2 ).
tff(func_def_412,type,
sK99: $int > $int ).
tff(func_def_413,type,
sK100: $int ).
tff(func_def_414,type,
sK101: set_2 ).
tff(func_def_415,type,
sK102: set_2 ).
tff(func_def_416,type,
sK103: $int > $int ).
tff(func_def_417,type,
sK104: $int > $int ).
tff(func_def_418,type,
sK105: $int ).
tff(func_def_419,type,
sK106: $int ).
tff(func_def_420,type,
sK107: $int > $int ).
tff(func_def_421,type,
sK108: set_2 ).
tff(func_def_422,type,
sK109: $int > $int ).
tff(func_def_423,type,
sK110: $int ).
tff(func_def_424,type,
sK111: set_2 ).
tff(func_def_425,type,
sK112: set_2 ).
tff(func_def_426,type,
sK113: $int > $int ).
tff(func_def_427,type,
sK114: $int > $int ).
tff(func_def_428,type,
sK115: $int ).
tff(func_def_429,type,
sK116: set_2 ).
tff(func_def_430,type,
sK117: $int ).
tff(func_def_431,type,
sK118: $int > $int ).
tff(func_def_432,type,
sK119: set_2 ).
tff(func_def_433,type,
sK120: $int > $int ).
tff(func_def_434,type,
sK121: $int ).
tff(func_def_435,type,
sK122: $int ).
tff(func_def_436,type,
sK123: set_2 ).
tff(func_def_437,type,
sK124: $int > $int ).
tff(func_def_438,type,
sK125: set_2 ).
tff(func_def_439,type,
sK126: $int > $int ).
tff(func_def_440,type,
sK127: $int ).
tff(func_def_441,type,
sK128: ( $int * $int ) > $int ).
tff(func_def_442,type,
sK129: $int ).
tff(func_def_443,type,
sK130: set_2 ).
tff(func_def_444,type,
sK131: $int ).
tff(func_def_445,type,
sK132: set_2 ).
tff(func_def_446,type,
sK133: $int > $int ).
tff(func_def_447,type,
sK134: $int > $int ).
tff(func_def_448,type,
sK135: $int ).
tff(func_def_449,type,
sK136: set_2 ).
tff(func_def_450,type,
sK137: $int ).
tff(func_def_451,type,
sK138: $int > $int ).
tff(func_def_452,type,
sK139: set_2 ).
tff(func_def_453,type,
sK140: $int > $int ).
tff(func_def_454,type,
sK141: set_4 ).
tff(func_def_455,type,
sK142: $o > $int ).
tff(func_def_456,type,
sK143: $int ).
tff(func_def_457,type,
sK144: set_2 ).
tff(func_def_458,type,
sK145: $int > $int ).
tff(func_def_459,type,
sK146: $int > $int ).
tff(func_def_460,type,
sK147: set_2 ).
tff(func_def_461,type,
sK148: $int ).
tff(func_def_462,type,
sK149: $int > $int ).
tff(func_def_463,type,
sK150: set_2 ).
tff(func_def_464,type,
sK151: $int > $int ).
tff(func_def_465,type,
sK152: $int ).
tff(pred_def_1,type,
mem0: ( $int * set_0 ) > $o ).
tff(pred_def_5,type,
mem2: ( $int * $int * set_2 ) > $o ).
tff(pred_def_6,type,
mem3: ( $int * $int * $int * set_3 ) > $o ).
tff(pred_def_7,type,
mem4: ( $o * $int * set_4 ) > $o ).
tff(pred_def_13,type,
sP7: set_2 > $o ).
tff(pred_def_14,type,
sP8: ( set_2 * $int ) > $o ).
tff(pred_def_15,type,
sP9: set_2 > $o ).
tff(pred_def_16,type,
sP10: set_2 > $o ).
tff(pred_def_17,type,
sP11: ( set_2 * $int ) > $o ).
tff(pred_def_18,type,
sP12: ( $int * set_2 ) > $o ).
tff(pred_def_19,type,
sP13: $int > $o ).
tff(pred_def_20,type,
sP14: ( $int * $int * $int ) > $o ).
tff(f300,negated_conjecture,
! [X0: $int] :
( mem0(X0,g_s230_153)
<=> ( $lesseq(X0,g_s120_120)
& $greatereq(X0,1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Define:imlprp:4') ).
tff(f330,negated_conjecture,
g_s159_182 = 1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Define:seext:3') ).
tff(f375,conjecture,
( ( $greatereq(g_s253_247,g_s159_182)
& $lesseq(g_s253_247,g_s120_120) )
<=> mem0(g_s253_247,g_s230_153) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Goal') ).
tff(f376,negated_conjecture,
~ ( ( $greatereq(g_s253_247,g_s159_182)
& $lesseq(g_s253_247,g_s120_120) )
<=> mem0(g_s253_247,g_s230_153) ),
inference(negated_conjecture,[status(cth)],[f375]) ).
tff(f469,plain,
~ ( mem0(g_s253_247,g_s230_153)
<=> ( ~ $less(g_s253_247,g_s159_182)
& ~ $less(g_s120_120,g_s253_247) ) ),
inference(theory_normalization,[],[f376]) ).
tff(f616,plain,
! [X0: $int] :
( mem0(X0,g_s230_153)
<=> ( ~ $less(g_s120_120,X0)
& ~ $less(X0,1) ) ),
inference(theory_normalization,[],[f300]) ).
tff(f768,plain,
( mem0(g_s253_247,g_s230_153)
<~> ( ~ $less(g_s253_247,g_s159_182)
& ~ $less(g_s120_120,g_s253_247) ) ),
inference(ennf_transformation,[],[f469]) ).
tff(f919,plain,
! [X0: $int] :
( ( mem0(X0,g_s230_153)
| $less(g_s120_120,X0)
| $less(X0,1) )
& ( ( ~ $less(g_s120_120,X0)
& ~ $less(X0,1) )
| ~ mem0(X0,g_s230_153) ) ),
inference(nnf_transformation,[],[f616]) ).
tff(f920,plain,
! [X0: $int] :
( ( mem0(X0,g_s230_153)
| $less(g_s120_120,X0)
| $less(X0,1) )
& ( ( ~ $less(g_s120_120,X0)
& ~ $less(X0,1) )
| ~ mem0(X0,g_s230_153) ) ),
inference(flattening,[],[f919]) ).
tff(f973,plain,
( ( $less(g_s253_247,g_s159_182)
| $less(g_s120_120,g_s253_247)
| ~ mem0(g_s253_247,g_s230_153) )
& ( ( ~ $less(g_s253_247,g_s159_182)
& ~ $less(g_s120_120,g_s253_247) )
| mem0(g_s253_247,g_s230_153) ) ),
inference(nnf_transformation,[],[f768]) ).
tff(f974,plain,
( ( $less(g_s253_247,g_s159_182)
| $less(g_s120_120,g_s253_247)
| ~ mem0(g_s253_247,g_s230_153) )
& ( ( ~ $less(g_s253_247,g_s159_182)
& ~ $less(g_s120_120,g_s253_247) )
| mem0(g_s253_247,g_s230_153) ) ),
inference(flattening,[],[f973]) ).
tff(f1371,plain,
! [X0: $int] :
( ~ $less(X0,1)
| ~ mem0(X0,g_s230_153) ),
inference(cnf_transformation,[],[f920]) ).
tff(f1372,plain,
! [X0: $int] :
( ~ $less(g_s120_120,X0)
| ~ mem0(X0,g_s230_153) ),
inference(cnf_transformation,[],[f920]) ).
tff(f1373,plain,
! [X0: $int] :
( $less(g_s120_120,X0)
| $less(X0,1)
| mem0(X0,g_s230_153) ),
inference(cnf_transformation,[],[f920]) ).
tff(f1442,plain,
1 = g_s159_182,
inference(cnf_transformation,[],[f330]) ).
tff(f1570,plain,
( mem0(g_s253_247,g_s230_153)
| ~ $less(g_s120_120,g_s253_247) ),
inference(cnf_transformation,[],[f974]) ).
tff(f1571,plain,
( ~ $less(g_s253_247,g_s159_182)
| mem0(g_s253_247,g_s230_153) ),
inference(cnf_transformation,[],[f974]) ).
tff(f1572,plain,
( $less(g_s253_247,g_s159_182)
| $less(g_s120_120,g_s253_247)
| ~ mem0(g_s253_247,g_s230_153) ),
inference(cnf_transformation,[],[f974]) ).
tff(f1934,plain,
( $less(g_s120_120,g_s253_247)
| $less(g_s253_247,1)
| ~ mem0(g_s253_247,g_s230_153) ),
inference(definition_unfolding,[],[f1572,f1442]) ).
tff(f1935,plain,
( ~ $less(g_s253_247,1)
| mem0(g_s253_247,g_s230_153) ),
inference(definition_unfolding,[],[f1571,f1442]) ).
tff(f2039,definition,
( spl153_3
<=> $less(g_s253_247,1) ),
introduced(definition,[new_symbols(definition,[spl153_3])],[avatar_definition]) ).
tff(f2040,plain,
( ~ $less(g_s253_247,1)
| spl153_3 ),
inference(avatar_component_clause,[],[f2039]) ).
tff(f2041,plain,
( $less(g_s253_247,1)
| ~ spl153_3 ),
inference(avatar_component_clause,[],[f2039]) ).
tff(f2043,definition,
( spl153_4
<=> $less(g_s120_120,g_s253_247) ),
introduced(definition,[new_symbols(definition,[spl153_4])],[avatar_definition]) ).
tff(f2044,plain,
( ~ $less(g_s120_120,g_s253_247)
| spl153_4 ),
inference(avatar_component_clause,[],[f2043]) ).
tff(f2045,plain,
( $less(g_s120_120,g_s253_247)
| ~ spl153_4 ),
inference(avatar_component_clause,[],[f2043]) ).
tff(f2047,definition,
( spl153_5
<=> mem0(g_s253_247,g_s230_153) ),
introduced(definition,[new_symbols(definition,[spl153_5])],[avatar_definition]) ).
tff(f2049,plain,
( ~ mem0(g_s253_247,g_s230_153)
| spl153_5 ),
inference(avatar_component_clause,[],[f2047]) ).
tff(f2050,plain,
( spl153_3
| spl153_4
| ~ spl153_5 ),
inference(avatar_split_clause,[],[f1934,f2047,f2043,f2039]) ).
tff(f2051,plain,
( ~ spl153_4
| spl153_5 ),
inference(avatar_split_clause,[],[f1570,f2047,f2043]) ).
tff(f2076,plain,
( ~ spl153_3
| spl153_5 ),
inference(avatar_split_clause,[],[f1935,f2047,f2039]) ).
tff(f2748,plain,
( mem0(g_s253_247,g_s230_153)
| $less(g_s253_247,1)
| spl153_4 ),
inference(resolution,[],[f1373,f2044]) ).
tff(f2757,plain,
( $less(g_s253_247,1)
| spl153_4
| spl153_5 ),
inference(forward_subsumption_resolution,[],[f2748,f2049]) ).
tff(f2805,plain,
( $false
| spl153_3
| spl153_4
| spl153_5 ),
inference(forward_subsumption_resolution,[],[f2757,f2040]) ).
tff(f2806,plain,
( spl153_3
| spl153_4
| spl153_5 ),
inference(avatar_contradiction_clause,[],[f2805]) ).
tff(f2807,plain,
( ~ mem0(g_s253_247,g_s230_153)
| ~ spl153_4 ),
inference(resolution,[],[f2045,f1372]) ).
tff(f2808,plain,
( ~ spl153_5
| ~ spl153_4 ),
inference(avatar_split_clause,[],[f2807,f2043,f2047]) ).
tff(f2811,plain,
( ~ mem0(g_s253_247,g_s230_153)
| ~ spl153_3 ),
inference(resolution,[],[f2041,f1371]) ).
tff(f2814,plain,
( ~ spl153_5
| ~ spl153_3 ),
inference(avatar_split_clause,[],[f2811,f2039,f2047]) ).
cnf(s2,plain,
( spl153_3
| spl153_4
| ~ spl153_5 ),
inference(sat_conversion,[],[f2050]) ).
cnf(s3,plain,
( ~ spl153_4
| spl153_5 ),
inference(sat_conversion,[],[f2051]) ).
cnf(s8,plain,
( ~ spl153_3
| spl153_5 ),
inference(sat_conversion,[],[f2076]) ).
cnf(s46,plain,
( spl153_3
| spl153_4
| spl153_5 ),
inference(sat_conversion,[],[f2806]) ).
cnf(s47,plain,
( ~ spl153_4
| ~ spl153_5 ),
inference(sat_conversion,[],[f2808]) ).
cnf(s48,plain,
( ~ spl153_3
| ~ spl153_5 ),
inference(sat_conversion,[],[f2814]) ).
cnf(s49,plain,
( spl153_4
| spl153_3 ),
inference(rat,[],[s2,s46]) ).
cnf(s50,plain,
~ spl153_4,
inference(rat,[],[s3,s47]) ).
cnf(s51,plain,
spl153_3,
inference(rat,[],[s49,s50]) ).
cnf(s52,plain,
~ spl153_5,
inference(rat,[],[s48,s51]) ).
cnf(s53,plain,
$false,
inference(rat,[],[s8,s52,s51]) ).
tff(f2815,plain,
$false,
inference(avatar_sat_refutation,[],[s53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC543_1 : TPTP v9.3.1. Bugfixed v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n005.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 09:42:02 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.74/1.17 % (674843)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.74/1.17 % (674896)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=6363479:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.74/1.17 % (674901)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1556208909:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.74/1.17 % (674899)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2349483843:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.74/1.17 % (674900)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2307757120:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.74/1.17 % (674898)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=516833477:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.74/1.17 % (674897)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3196635279:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.74/1.17 % (674895)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3029559643:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.74/1.17 % (674899)Instruction limit reached!
% 3.74/1.17 % (674899)------------------------------
% 3.74/1.17 % (674899)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.74/1.17 % (674899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.74/1.17 % (674899)CaDiCaL version: 2.1.3
% 3.74/1.17 % (674899)Termination reason: Instruction limit
% 3.74/1.17 % (674899)Termination phase: Property scanning
% 3.74/1.17 % (674899)Time elapsed: 0.003 s
% 3.74/1.17 % (674899)Peak memory usage: 86 MB
% 3.74/1.17 % (674899)Instructions burned: 5 (million)
% 3.74/1.17 % (674898)Instruction limit reached!
% 3.74/1.17 % (674898)------------------------------
% 3.74/1.17 % (674898)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.74/1.17 % (674898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.74/1.17 % (674898)CaDiCaL version: 2.1.3
% 3.74/1.17 % (674898)Termination reason: Instruction limit
% 3.74/1.17 % (674898)Termination phase: SInE selection
% 3.74/1.17 % (674898)Time elapsed: 0.004 s
% 3.74/1.17 % (674898)Peak memory usage: 86 MB
% 3.74/1.17 % (674898)Instructions burned: 7 (million)
% 3.74/1.17 % (674895)Instruction limit reached!
% 3.74/1.17 % (674895)------------------------------
% 3.74/1.17 % (674895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.74/1.17 % (674895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.74/1.17 % (674895)CaDiCaL version: 2.1.3
% 3.74/1.17 % (674895)Termination reason: Instruction limit
% 3.74/1.17 % (674895)Termination phase: Property scanning
% 3.74/1.17 % (674895)Time elapsed: 0.006 s
% 3.74/1.17 % (674895)Peak memory usage: 86 MB
% 3.74/1.17 % (674895)Instructions burned: 12 (million)
% 3.74/1.17 % (674896)Instruction limit reached!
% 3.74/1.17 % (674896)------------------------------
% 3.74/1.17 % (674896)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.74/1.17 % (674896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.74/1.17 % (674896)CaDiCaL version: 2.1.3
% 3.74/1.17 % (674896)Termination reason: Instruction limit
% 3.74/1.17 % (674896)Termination phase: Property scanning
% 3.74/1.17 % (674896)Time elapsed: 0.081 s
% 3.74/1.17 % (674896)Peak memory usage: 111 MB
% 3.74/1.17 % (674896)Instructions burned: 313 (million)
% 3.74/1.17 % (674901)Instruction limit reached!
% 3.74/1.17 % (674901)------------------------------
% 3.74/1.17 % (674901)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.74/1.17 % (674901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.74/1.17 % (674901)CaDiCaL version: 2.1.3
% 3.74/1.17 % (674901)Termination reason: Instruction limit
% 3.74/1.17 % (674901)Termination phase: Saturation
% 3.74/1.17 % (674901)Time elapsed: 0.040 s
% 3.74/1.17 % (674901)Peak memory usage: 113 MB
% 3.74/1.17 % (674901)Instructions burned: 34 (million)
% 3.74/1.17 % (674900)Instruction limit reached!
% 3.74/1.17 % (674900)------------------------------
% 3.74/1.17 % (674900)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.74/1.17 % (674900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.74/1.17 % (674900)CaDiCaL version: 2.1.3
% 4.37/1.30 % (674900)Termination reason: Instruction limit
% 4.37/1.30 % (674900)Termination phase: Saturation
% 4.37/1.30 % (674900)Time elapsed: 0.049 s
% 4.37/1.30 % (674900)Peak memory usage: 114 MB
% 4.37/1.30 % (674900)Instructions burned: 46 (million)
% 4.37/1.30 % (674912)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=3551243749:i=24:canc=force:rtra=on_2998 on theBenchmark for (2998ds/24Mi)
% 4.37/1.30 % (674910)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=2208397594:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 4.37/1.30 % (674911)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=845400213:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 4.37/1.30 % (674912)Instruction limit reached!
% 4.37/1.30 % (674912)------------------------------
% 4.37/1.30 % (674912)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.37/1.30 % (674912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.37/1.30 % (674912)CaDiCaL version: 2.1.3
% 4.37/1.30 % (674912)Termination reason: Instruction limit
% 4.37/1.30 % (674912)Termination phase: Saturation
% 4.37/1.30 % (674912)Time elapsed: 0.008 s
% 4.37/1.30 % (674912)Peak memory usage: 89 MB
% 4.37/1.30 % (674912)Instructions burned: 28 (million)
% 4.37/1.30 % (674909)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1332284423:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 4.37/1.30 % (674911)Instruction limit reached!
% 4.37/1.30 % (674911)------------------------------
% 4.37/1.30 % (674911)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.37/1.30 % (674911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.37/1.30 % (674911)CaDiCaL version: 2.1.3
% 4.37/1.30 % (674911)Termination reason: Instruction limit
% 4.37/1.30 % (674911)Termination phase: Property scanning
% 4.37/1.30 % (674911)Time elapsed: 0.011 s
% 4.37/1.30 % (674911)Peak memory usage: 87 MB
% 4.37/1.30 % (674911)Instructions burned: 17 (million)
% 4.37/1.30 % (674909)Instruction limit reached!
% 4.37/1.30 % (674909)------------------------------
% 4.37/1.30 % (674909)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.37/1.30 % (674909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.37/1.30 % (674909)CaDiCaL version: 2.1.3
% 4.37/1.30 % (674909)Termination reason: Instruction limit
% 4.37/1.30 % (674909)Termination phase: Blocked clause elimination
% 4.37/1.30 % (674909)Time elapsed: 0.009 s
% 4.37/1.30 % (674909)Peak memory usage: 87 MB
% 4.37/1.30 % (674909)Instructions burned: 14 (million)
% 4.37/1.30 % (674910)Instruction limit reached!
% 4.37/1.30 % (674910)------------------------------
% 4.37/1.30 % (674910)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.37/1.30 % (674910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.37/1.30 % (674910)CaDiCaL version: 2.1.3
% 4.37/1.30 % (674910)Termination reason: Instruction limit
% 4.37/1.30 % (674910)Termination phase: Clausification
% 4.37/1.30 % (674910)Time elapsed: 0.021 s
% 4.37/1.30 % (674910)Peak memory usage: 92 MB
% 4.37/1.30 % (674910)Instructions burned: 29 (million)
% 4.37/1.30 % (674897)Instruction limit reached!
% 4.37/1.30 % (674897)------------------------------
% 4.37/1.30 % (674897)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.37/1.30 % (674897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.37/1.30 % (674897)CaDiCaL version: 2.1.3
% 4.37/1.30 % (674897)Termination reason: Instruction limit
% 4.37/1.30 % (674897)Termination phase: Saturation
% 4.37/1.30 % (674897)Time elapsed: 0.164 s
% 4.37/1.30 % (674897)Peak memory usage: 118 MB
% 4.37/1.30 % (674897)Instructions burned: 201 (million)
% 4.37/1.30 % (674913)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=4086568950:i=27:canc=cautious:fsr=off:rtra=on_2998 on theBenchmark for (2998ds/27Mi)
% 4.37/1.30 % (674914)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=2648422850:i=85:gtgl=4:rtra=on:gtg=exists_sym_2997 on theBenchmark for (2997ds/85Mi)
% 4.37/1.30 % (674913)Instruction limit reached!
% 4.37/1.30 % (674913)------------------------------
% 4.37/1.30 % (674913)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.37/1.30 % (674913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.37/1.30 % (674913)CaDiCaL version: 2.1.3
% 4.37/1.30 % (674913)Termination reason: Instruction limit
% 4.37/1.30 % (674913)Termination phase: Saturation
% 4.37/1.30 % (674913)Time elapsed: 0.016 s
% 4.37/1.30 % (674913)Peak memory usage: 89 MB
% 4.37/1.30 % (674913)Instructions burned: 28 (million)
% 4.37/1.30 % (674919)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=2520185809:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2997 on theBenchmark for (2997ds/2Mi)
% 4.37/1.30 % (674919)Instruction limit reached!
% 4.37/1.30 % (674919)------------------------------
% 4.37/1.30 % (674919)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.37/1.30 % (674919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.37/1.30 % (674919)CaDiCaL version: 2.1.3
% 4.37/1.30 % (674919)Termination reason: Instruction limit
% 4.37/1.30 % (674919)Termination phase: Including theory axioms
% 4.37/1.30 % (674919)Time elapsed: 0.002 s
% 4.37/1.30 % (674919)Peak memory usage: 86 MB
% 4.37/1.30 % (674919)Instructions burned: 4 (million)
% 4.37/1.30 % (674914)First to succeed.
% 4.37/1.30 % (674914)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-674843"
% 4.37/1.30 % (674922)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=2011390357:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2997 on theBenchmark for (2997ds/66Mi)
% 4.37/1.30 % (674921)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=2094394680:i=4:ep=RST:ins=2:rtra=on_2997 on theBenchmark for (2997ds/4Mi)
% 4.37/1.30 % (674921)Instruction limit reached!
% 4.37/1.30 % (674921)------------------------------
% 4.37/1.30 % (674921)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.37/1.30 % (674921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.37/1.30 % (674921)CaDiCaL version: 2.1.3
% 4.37/1.30 % (674921)Termination reason: Instruction limit
% 4.37/1.30 % (674921)Termination phase: Including theory axioms
% 4.37/1.30 % (674921)Time elapsed: 0.003 s
% 4.37/1.30 % (674921)Peak memory usage: 86 MB
% 4.37/1.30 % (674921)Instructions burned: 4 (million)
% 4.37/1.30 % (674920)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=443814059:i=181:rtra=on:ss=axioms:ev=cautious_2997 on theBenchmark for (2997ds/181Mi)
% 4.37/1.30 % (674920)Also succeeded, but the first one will report.
% 4.37/1.30 % (674928)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=1523752318:st=3:i=2:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/2Mi)
% 4.37/1.30 % (674928)Instruction limit reached!
% 4.37/1.30 % (674928)------------------------------
% 4.37/1.30 % (674928)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.37/1.30 % (674928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.37/1.30 % (674928)CaDiCaL version: 2.1.3
% 4.37/1.30 % (674928)Termination reason: Instruction limit
% 4.37/1.30 % (674928)Termination phase: Property scanning
% 4.37/1.30 % (674928)Time elapsed: 0.001 s
% 4.37/1.30 % (674928)Peak memory usage: 86 MB
% 4.37/1.30 % (674928)Instructions burned: 2 (million)
% 4.37/1.30 % (674923)lrs+10_1_thi=all:si=on:fd=off:random_seed=1700659434:i=53:rtra=on:gtg=all_2996 on theBenchmark for (2996ds/53Mi)
% 4.37/1.30 % (674926)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=215413577:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2996 on theBenchmark for (2996ds/8Mi)
% 4.37/1.30 % (674926)Instruction limit reached!
% 4.37/1.30 % (674926)------------------------------
% 4.37/1.30 % (674926)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.37/1.30 % (674926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.37/1.30 % (674926)CaDiCaL version: 2.1.3
% 4.37/1.30 % (674926)Termination reason: Instruction limit
% 4.37/1.30 % (674926)Termination phase: Including theory axioms
% 4.37/1.30 % (674926)Time elapsed: 0.005 s
% 4.37/1.30 % (674926)Peak memory usage: 86 MB
% 4.37/1.30 % (674926)Instructions burned: 9 (million)
% 4.37/1.30 % (674922)Instruction limit reached!
% 4.37/1.30 % (674922)------------------------------
% 4.37/1.30 % (674922)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.37/1.30 % (674922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.37/1.30 % (674922)CaDiCaL version: 2.1.3
% 4.37/1.30 % (674922)Termination reason: Instruction limit
% 4.37/1.30 % (674922)Termination phase: Saturation
% 4.37/1.30 % (674922)Time elapsed: 0.080 s
% 4.37/1.30 % (674922)Peak memory usage: 132 MB
% 4.37/1.30 % (674922)Instructions burned: 66 (million)
% 4.37/1.30 % (674923)Instruction limit reached!
% 4.37/1.30 % (674923)------------------------------
% 4.37/1.30 % (674923)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.37/1.30 % (674923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.37/1.30 % (674923)CaDiCaL version: 2.1.3
% 4.37/1.30 % (674923)Termination reason: Instruction limit
% 4.37/1.30 % (674923)Termination phase: Saturation
% 4.37/1.30 % (674923)Time elapsed: 0.052 s
% 4.37/1.30 % (674923)Peak memory usage: 116 MB
% 4.37/1.30 % (674923)Instructions burned: 53 (million)
% 4.37/1.30 % (674935)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=851065261:i=127:doe=on:rtra=on_2995 on theBenchmark for (2995ds/127Mi)
% 4.37/1.30 % (674932)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=3833877785:i=2:doe=on:canc=force:asg=cautious:rtra=on_2995 on theBenchmark for (2995ds/2Mi)
% 4.37/1.30 % (674932)Instruction limit reached!
% 4.37/1.30 % (674932)------------------------------
% 4.37/1.30 % (674932)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.37/1.30 % (674932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.37/1.30 % (674932)CaDiCaL version: 2.1.3
% 4.37/1.30 % (674932)Termination reason: Instruction limit
% 4.37/1.30 % (674932)Termination phase: Property scanning
% 4.37/1.30 % (674932)Time elapsed: 0.002 s
% 4.37/1.30 % (674932)Peak memory usage: 85 MB
% 4.37/1.30 % (674932)Instructions burned: 2 (million)
% 4.37/1.30 % (674935)Instruction limit reached!
% 4.37/1.30 % (674935)------------------------------
% 4.37/1.30 % (674935)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.37/1.30 % (674935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.37/1.30 % (674935)CaDiCaL version: 2.1.3
% 4.37/1.30 % (674935)Termination reason: Instruction limit
% 4.37/1.30 % (674935)Termination phase: Saturation
% 4.37/1.30 % (674935)Time elapsed: 0.056 s
% 4.37/1.30 % (674935)Peak memory usage: 119 MB
% 4.37/1.30 % (674935)Instructions burned: 128 (million)
% 4.37/1.30 % (674937)dis+10_1_si=on:random_seed=490418616:i=10:ep=R:rtra=on_2995 on theBenchmark for (2995ds/10Mi)
% 4.37/1.30 % (674937)Instruction limit reached!
% 4.37/1.30 % (674937)------------------------------
% 4.37/1.30 % (674937)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.37/1.30 % (674937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.37/1.30 % (674937)CaDiCaL version: 2.1.3
% 4.37/1.30 % (674937)Termination reason: Instruction limit
% 4.37/1.30 % (674937)Termination phase: shuffling
% 4.37/1.30 % (674937)Time elapsed: 0.006 s
% 4.37/1.30 % (674937)Peak memory usage: 87 MB
% 4.37/1.30 % (674937)Instructions burned: 10 (million)
% 4.37/1.30 % (674914)Refutation found. Thanks to Tanya!
% 4.37/1.30 % SZS status Theorem for theBenchmark
% 4.37/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 4.37/1.39 % (674914)------------------------------
% 4.37/1.39 % (674914)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.37/1.39 % (674914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.37/1.39 % (674914)CaDiCaL version: 2.1.3
% 4.37/1.39 % (674914)Termination reason: Refutation
% 4.37/1.39 % (674914)Time elapsed: 0.046 s
% 4.37/1.39 % (674914)Peak memory usage: 92 MB
% 4.37/1.39 % (674914)Instructions burned: 75 (million)
% 4.37/1.39 % (674914)------------------------------
% 4.37/1.39 % (674914)------------------------------
% 4.37/1.39 % (674843)Success in time 0.633 s
% 4.37/1.39 % Vampire exiting
%------------------------------------------------------------------------------