%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC536_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 : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:04:12 PM UTC 2026
% Result : Theorem 4.96s 1.46s
% Output : Refutation 5.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 9
% Syntax : Number of formulae : 87 ( 7 unt; 0 typ; 7 def)
% Number of atoms : 376 ( 7 equ)
% Maximal formula atoms : 21 ( 4 avg)
% Number of connectives : 445 ( 156 ~; 176 |; 75 &)
% ( 22 <=>; 14 =>; 0 <=; 2 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 131 ( 0 atm; 0 fun; 0 num; 131 var)
% Number of types : 7 ( 5 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 21 ( 19 usr; 8 prp; 0-4 aty)
% Number of functors : 354 ( 354 usr; 318 con; 0-2 aty)
% Number of variables : 214 ( 0 sgn 166 !; 48 ?; 214 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
set_0: $tType ).
tff(type_def_6,type,
set_2: $tType ).
tff(type_def_7,type,
set_3: $tType ).
tff(type_def_8,type,
set_4: $tType ).
tff(type_def_9,type,
set_5: $tType ).
tff(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,
set_2_empty: set_2 ).
tff(func_def_7,type,
set_2_insert: set_2 > set_2 ).
tff(func_def_8,type,
g_s1_1: set_0 ).
tff(func_def_9,type,
g_s2_2: set_0 ).
tff(func_def_10,type,
g_s3_3: $int ).
tff(func_def_11,type,
g_s4_4: $int ).
tff(func_def_12,type,
g_s5_5: set_0 ).
tff(func_def_13,type,
g_s6_6: $int ).
tff(func_def_14,type,
g_s7_7: $int ).
tff(func_def_15,type,
g_s8_8: $int ).
tff(func_def_16,type,
g_s9_9: $int ).
tff(func_def_17,type,
g_s10_10: $int ).
tff(func_def_18,type,
g_s11_11: set_0 ).
tff(func_def_19,type,
g_s12_12: $int ).
tff(func_def_20,type,
g_s13_13: $int ).
tff(func_def_21,type,
g_s14_14: $int ).
tff(func_def_22,type,
g_s15_15: $int ).
tff(func_def_23,type,
g_s16_16: set_0 ).
tff(func_def_24,type,
g_s17_17: $int ).
tff(func_def_25,type,
g_s18_18: $int ).
tff(func_def_26,type,
g_s19_19: $int ).
tff(func_def_27,type,
g_s20_20: set_0 ).
tff(func_def_28,type,
g_s21_21: $int ).
tff(func_def_29,type,
g_s22_22: $int ).
tff(func_def_30,type,
g_s23_23: $int ).
tff(func_def_31,type,
g_s24_24: set_0 ).
tff(func_def_32,type,
g_s25_25: $int ).
tff(func_def_33,type,
g_s26_26: $int ).
tff(func_def_34,type,
g_s27_27: $int ).
tff(func_def_35,type,
g_s28_28: set_0 ).
tff(func_def_36,type,
g_s29_29: $int ).
tff(func_def_37,type,
g_s30_30: $int ).
tff(func_def_38,type,
g_s31_31: $int ).
tff(func_def_39,type,
g_s32_32: $int ).
tff(func_def_40,type,
g_s33_33: set_0 ).
tff(func_def_41,type,
g_s34_34: $int ).
tff(func_def_42,type,
g_s35_35: $int ).
tff(func_def_43,type,
g_s36_36: $int ).
tff(func_def_44,type,
g_s37_37: $int ).
tff(func_def_45,type,
g_s38_38: $int ).
tff(func_def_46,type,
g_s39_39: $int ).
tff(func_def_47,type,
g_s40_40: $int ).
tff(func_def_48,type,
g_s41_41: $int ).
tff(func_def_49,type,
g_s42_42: set_0 ).
tff(func_def_50,type,
g_s43_43: $int ).
tff(func_def_51,type,
g_s44_44: $int ).
tff(func_def_52,type,
g_s45_45: $int ).
tff(func_def_53,type,
g_s46_46: $int ).
tff(func_def_54,type,
g_s47_47: set_0 ).
tff(func_def_55,type,
g_s48_48: $int ).
tff(func_def_56,type,
g_s49_49: $int ).
tff(func_def_57,type,
g_s50_50: $int ).
tff(func_def_58,type,
g_s51_51: $int ).
tff(func_def_59,type,
g_s52_52: $int ).
tff(func_def_60,type,
g_s53_53: $int ).
tff(func_def_61,type,
g_s54_54: $int ).
tff(func_def_62,type,
g_s55_55: $int ).
tff(func_def_63,type,
g_s56_56: set_0 ).
tff(func_def_64,type,
g_s57_57: $int ).
tff(func_def_65,type,
g_s58_58: $int ).
tff(func_def_66,type,
g_s59_59: $int ).
tff(func_def_67,type,
g_s60_60: set_0 ).
tff(func_def_68,type,
g_s61_61: $int ).
tff(func_def_69,type,
g_s62_62: $int ).
tff(func_def_70,type,
g_s63_63: $int ).
tff(func_def_71,type,
g_s64_64: set_0 ).
tff(func_def_72,type,
g_s65_65: $int ).
tff(func_def_73,type,
g_s66_66: $int ).
tff(func_def_74,type,
g_s67_67: $int ).
tff(func_def_75,type,
g_s68_68: set_0 ).
tff(func_def_76,type,
g_s69_69: $int ).
tff(func_def_77,type,
g_s70_70: $int ).
tff(func_def_78,type,
g_s71_71: set_0 ).
tff(func_def_79,type,
g_s72_72: $int ).
tff(func_def_80,type,
g_s73_73: $int ).
tff(func_def_81,type,
g_s74_74: set_0 ).
tff(func_def_82,type,
g_s75_75: $int ).
tff(func_def_83,type,
g_s76_76: $int ).
tff(func_def_84,type,
g_s77_77: $int ).
tff(func_def_85,type,
g_s78_78: set_0 ).
tff(func_def_86,type,
g_s79_79: $int ).
tff(func_def_87,type,
g_s80_80: $int ).
tff(func_def_88,type,
g_s81_81: set_0 ).
tff(func_def_89,type,
g_s82_82: $int ).
tff(func_def_90,type,
g_s83_83: $int ).
tff(func_def_91,type,
g_s84_84: $int ).
tff(func_def_92,type,
g_s85_85: set_0 ).
tff(func_def_93,type,
g_s86_86: set_0 ).
tff(func_def_94,type,
g_s87_87: set_0 ).
tff(func_def_95,type,
g_s88_88: set_0 ).
tff(func_def_96,type,
g_s89_89: set_0 ).
tff(func_def_97,type,
g_s90_90: set_0 ).
tff(func_def_98,type,
g_s91_91: set_0 ).
tff(func_def_99,type,
g_s92_92: set_0 ).
tff(func_def_100,type,
g_s93_93: set_0 ).
tff(func_def_101,type,
g_s94_94: set_0 ).
tff(func_def_102,type,
g_s95_95: set_0 ).
tff(func_def_103,type,
g_s96_96: set_0 ).
tff(func_def_104,type,
g_s97_97: set_0 ).
tff(func_def_105,type,
g_s98_98: $int ).
tff(func_def_106,type,
g_s99_99: $int ).
tff(func_def_107,type,
g_s100_100: set_0 ).
tff(func_def_108,type,
g_s101_101: set_0 ).
tff(func_def_109,type,
g_s102_102: $int ).
tff(func_def_110,type,
g_s103_103: $int ).
tff(func_def_111,type,
g_s104_104: set_2 ).
tff(func_def_112,type,
g_s105_105: $int ).
tff(func_def_113,type,
g_s106_106: set_0 ).
tff(func_def_114,type,
g_s107_107: $int ).
tff(func_def_115,type,
g_s108_108: $int ).
tff(func_def_116,type,
g_s109_109: set_2 ).
tff(func_def_117,type,
g_s110_110: $int ).
tff(func_def_118,type,
set_3_empty: set_3 ).
tff(func_def_119,type,
set_3_insert: set_3 > set_3 ).
tff(func_def_120,type,
g_s111_111: set_3 ).
tff(func_def_121,type,
g_s112_112: set_0 ).
tff(func_def_122,type,
g_s113_113: set_3 ).
tff(func_def_123,type,
g_s114_114: set_3 ).
tff(func_def_124,type,
g_s115_115: set_3 ).
tff(func_def_125,type,
set_4_empty: set_4 ).
tff(func_def_126,type,
set_4_insert: set_4 > set_4 ).
tff(func_def_127,type,
g_s116_116: set_4 ).
tff(func_def_128,type,
g_s117_117: set_4 ).
tff(func_def_129,type,
g_s118_118: set_4 ).
tff(func_def_130,type,
g_s119_119: set_4 ).
tff(func_def_131,type,
g_s120_120: set_4 ).
tff(func_def_132,type,
g_s121_121: set_2 ).
tff(func_def_133,type,
g_s122_122: set_2 ).
tff(func_def_134,type,
g_s123_123: set_3 ).
tff(func_def_135,type,
g_s124_124: set_3 ).
tff(func_def_136,type,
g_s125_125: set_3 ).
tff(func_def_137,type,
g_s126_126: set_3 ).
tff(func_def_138,type,
g_s127_127: set_2 ).
tff(func_def_139,type,
g_s128_128: set_2 ).
tff(func_def_140,type,
g_s129_129: set_3 ).
tff(func_def_141,type,
g_s130_130: set_3 ).
tff(func_def_142,type,
g_s131_131: set_3 ).
tff(func_def_143,type,
g_s132_132: set_3 ).
tff(func_def_144,type,
g_s133_133: set_3 ).
tff(func_def_145,type,
g_s134_134: set_3 ).
tff(func_def_146,type,
g_s137_135: set_0 ).
tff(func_def_147,type,
g_s138_136: $int ).
tff(func_def_148,type,
g_s139_137: set_2 ).
tff(func_def_149,type,
g_s140_138: set_0 ).
tff(func_def_150,type,
g_s141_139: $int ).
tff(func_def_151,type,
g_s142_140: set_2 ).
tff(func_def_152,type,
g_s143_141: set_0 ).
tff(func_def_153,type,
g_s144_142: $int ).
tff(func_def_154,type,
g_s145_143: set_2 ).
tff(func_def_155,type,
g_s146_144: set_0 ).
tff(func_def_156,type,
g_s147_145: $int ).
tff(func_def_157,type,
g_s148_146: set_2 ).
tff(func_def_158,type,
g_s149_147: $int ).
tff(func_def_159,type,
g_s150_148: set_0 ).
tff(func_def_160,type,
g_s151_149: $int ).
tff(func_def_161,type,
g_s152_150: set_0 ).
tff(func_def_162,type,
g_s153_151: $int ).
tff(func_def_163,type,
g_s154_152: set_0 ).
tff(func_def_164,type,
g_s155_153: set_0 ).
tff(func_def_165,type,
g_s156_154: $int ).
tff(func_def_166,type,
g_s157_155: set_0 ).
tff(func_def_167,type,
g_s158_156: set_0 ).
tff(func_def_168,type,
g_s159_157: $int ).
tff(func_def_169,type,
g_s160_158: set_0 ).
tff(func_def_170,type,
g_s161_159: $int ).
tff(func_def_171,type,
g_s162_160: set_2 ).
tff(func_def_172,type,
g_s163_161: set_0 ).
tff(func_def_173,type,
g_s164_162: $int ).
tff(func_def_174,type,
g_s165_163: set_2 ).
tff(func_def_175,type,
g_s166_164: set_0 ).
tff(func_def_176,type,
g_s167_165: $int ).
tff(func_def_177,type,
g_s168_166: set_2 ).
tff(func_def_178,type,
g_s169_167: set_0 ).
tff(func_def_179,type,
g_s170_168: $int ).
tff(func_def_180,type,
g_s171_169: set_2 ).
tff(func_def_181,type,
g_s172_170: set_0 ).
tff(func_def_182,type,
g_s173_171: $int ).
tff(func_def_183,type,
g_s174_172: set_2 ).
tff(func_def_184,type,
g_s175_173: set_2 ).
tff(func_def_185,type,
g_s176_174: set_2 ).
tff(func_def_186,type,
g_s177_175: $int ).
tff(func_def_187,type,
g_s178_176: $int ).
tff(func_def_188,type,
g_s179_177: set_2 ).
tff(func_def_189,type,
g_s180_178: $int ).
tff(func_def_190,type,
g_s181_179: $int ).
tff(func_def_191,type,
g_s182_180: $int ).
tff(func_def_192,type,
g_s183_181: $int ).
tff(func_def_193,type,
g_s184_182: $int ).
tff(func_def_194,type,
g_s185_183: $int ).
tff(func_def_195,type,
g_s186_184: $int ).
tff(func_def_196,type,
g_s187_185: $int ).
tff(func_def_197,type,
g_s188_186: $int ).
tff(func_def_198,type,
g_s189_187: $int ).
tff(func_def_199,type,
g_s190_188: $int ).
tff(func_def_200,type,
g_s191_189: $int ).
tff(func_def_201,type,
g_s192_190: $int ).
tff(func_def_202,type,
g_s193_191: $int ).
tff(func_def_203,type,
g_s194_192: $int ).
tff(func_def_204,type,
g_s195_193: $int ).
tff(func_def_205,type,
g_s196_194: $int ).
tff(func_def_206,type,
g_s197_195: $int ).
tff(func_def_207,type,
g_s198_196: $int ).
tff(func_def_208,type,
g_s199_197: $int ).
tff(func_def_209,type,
g_s200_198: $int ).
tff(func_def_210,type,
g_s201_199: $int ).
tff(func_def_211,type,
g_s202_200: $int ).
tff(func_def_212,type,
g_s203_201: $int ).
tff(func_def_213,type,
g_s204_202: $int ).
tff(func_def_214,type,
g_s205_203: $int ).
tff(func_def_215,type,
g_s206_204: $int ).
tff(func_def_216,type,
g_s207_205: $int ).
tff(func_def_217,type,
g_s208_206: $int ).
tff(func_def_218,type,
g_s209_207: $int ).
tff(func_def_219,type,
g_s210_208: $int ).
tff(func_def_220,type,
g_s211_209: $int ).
tff(func_def_221,type,
g_s212_210: $int ).
tff(func_def_222,type,
g_s213_211: $int ).
tff(func_def_223,type,
g_s214_212: $int ).
tff(func_def_224,type,
g_s215_213: $int ).
tff(func_def_225,type,
g_s216_214: $int ).
tff(func_def_226,type,
g_s217_215: $int ).
tff(func_def_227,type,
g_s218_216: $int ).
tff(func_def_228,type,
g_s219_217: $int ).
tff(func_def_229,type,
g_s220_218: $int ).
tff(func_def_230,type,
g_s221_219: set_0 ).
tff(func_def_231,type,
g_s223_220: set_0 ).
tff(func_def_232,type,
g_s222_221: $int ).
tff(func_def_233,type,
g_s224_222: $int ).
tff(func_def_234,type,
g_s226_223: set_0 ).
tff(func_def_235,type,
g_s225_224: $int ).
tff(func_def_236,type,
g_s227_225: $int ).
tff(func_def_237,type,
g_s228_226: set_0 ).
tff(func_def_238,type,
g_s229_227: set_0 ).
tff(func_def_239,type,
g_s230_228: set_2 ).
tff(func_def_240,type,
g_s231_229: set_2 ).
tff(func_def_241,type,
g_s232_230: set_2 ).
tff(func_def_242,type,
g_s233_231: set_0 ).
tff(func_def_243,type,
g_s234_232: set_2 ).
tff(func_def_244,type,
g_s235_233: set_0 ).
tff(func_def_245,type,
g_s236_234: set_0 ).
tff(func_def_246,type,
g_s237_235: set_2 ).
tff(func_def_247,type,
g_s238_236: set_0 ).
tff(func_def_248,type,
g_s239_237: set_0 ).
tff(func_def_249,type,
g_s240_238: set_2 ).
tff(func_def_250,type,
g_s241_239: set_0 ).
tff(func_def_251,type,
g_s242_240: set_2 ).
tff(func_def_252,type,
g_s243_241: set_0 ).
tff(func_def_253,type,
g_s244_242: set_0 ).
tff(func_def_254,type,
g_s245_243: set_2 ).
tff(func_def_255,type,
g_s246_244: set_0 ).
tff(func_def_256,type,
g_s247_245: set_0 ).
tff(func_def_257,type,
set_5_empty: set_5 ).
tff(func_def_258,type,
set_5_insert: set_5 > set_5 ).
tff(func_def_259,type,
g_s249_246: set_5 ).
tff(func_def_260,type,
g_s250_247: set_5 ).
tff(func_def_261,type,
g_s252_248: set_5 ).
tff(func_def_262,type,
g_s253_249: set_2 ).
tff(func_def_263,type,
g_s255_250: set_2 ).
tff(func_def_264,type,
g_s256_251: set_2 ).
tff(func_def_265,type,
g_s257_252: set_5 ).
tff(func_def_266,type,
g_s258_253: set_5 ).
tff(func_def_267,type,
g_s259_254: set_5 ).
tff(func_def_268,type,
g_s260_255: set_5 ).
tff(func_def_269,type,
g_s261_256: set_2 ).
tff(func_def_270,type,
g_s262_257: set_2 ).
tff(func_def_271,type,
g_s263_258: set_0 ).
tff(func_def_272,type,
g_s264_259: set_0 ).
tff(func_def_273,type,
g_s265_260: set_2 ).
tff(func_def_274,type,
g_s266_261: set_2 ).
tff(func_def_275,type,
g_s267_262: set_2 ).
tff(func_def_276,type,
g_s268_263: set_0 ).
tff(func_def_277,type,
g_s269_264: set_0 ).
tff(func_def_278,type,
g_s270_265: $int ).
tff(func_def_279,type,
g_s271_267: set_2 ).
tff(func_def_280,type,
g_s272_268: set_2 ).
tff(func_def_281,type,
g_s273_269: set_5 ).
tff(func_def_282,type,
g_s274_270: set_5 ).
tff(func_def_283,type,
g_s275_271: set_5 ).
tff(func_def_284,type,
g_s276_272: set_5 ).
tff(func_def_285,type,
g_s277_273: set_0 ).
tff(func_def_286,type,
g_s278_274: set_0 ).
tff(func_def_287,type,
g_s279_275: set_2 ).
tff(func_def_288,type,
g_s280_276: set_2 ).
tff(func_def_289,type,
g_s281_277: set_0 ).
tff(func_def_290,type,
g_s271_1_278: set_2 ).
tff(func_def_291,type,
g_s272_1_279: set_2 ).
tff(func_def_292,type,
g_s277_1_280: set_0 ).
tff(func_def_293,type,
g_s278_1_281: set_0 ).
tff(func_def_294,type,
g_s279_1_282: set_2 ).
tff(func_def_295,type,
g_s274_1_283: set_5 ).
tff(func_def_296,type,
g_s273_1_284: set_5 ).
tff(func_def_297,type,
g_s275_1_285: set_5 ).
tff(func_def_298,type,
g_s276_1_286: set_5 ).
tff(func_def_299,type,
g_s280_1_287: set_2 ).
tff(func_def_300,type,
g_s281_1_288: set_0 ).
tff(func_def_301,type,
g_s285_289: $int ).
tff(func_def_302,type,
g_s289_293: $int ).
tff(func_def_303,type,
g_s295_294: $int ).
tff(func_def_304,type,
g_s295_1_295: $int ).
tff(func_def_305,type,
g_s295_2_296: $int ).
tff(func_def_309,type,
sK7: $int ).
tff(func_def_310,type,
sK8: $int ).
tff(func_def_311,type,
sK9: set_5 ).
tff(func_def_312,type,
sK10: $int > set_2 ).
tff(func_def_313,type,
sK11: $int ).
tff(func_def_314,type,
sK12: $int ).
tff(func_def_315,type,
sK13: set_2 ).
tff(func_def_316,type,
sK14: set_2 ).
tff(func_def_317,type,
sK15: $int > $int ).
tff(func_def_318,type,
sK16: $int > $int ).
tff(func_def_319,type,
sK17: $int ).
tff(func_def_320,type,
sK18: set_2 ).
tff(func_def_321,type,
sK19: $int > $int ).
tff(func_def_322,type,
sK20: set_2 ).
tff(func_def_323,type,
sK21: $int > $int ).
tff(func_def_324,type,
sK22: $int ).
tff(func_def_325,type,
sK23: set_2 ).
tff(func_def_326,type,
sK24: $int ).
tff(func_def_327,type,
sK25: $int ).
tff(func_def_328,type,
sK26: set_2 ).
tff(func_def_329,type,
sK27: set_2 ).
tff(func_def_330,type,
sK28: $int ).
tff(func_def_331,type,
sK29: $int ).
tff(func_def_332,type,
sK30: set_5 ).
tff(func_def_333,type,
sK31: $int > set_2 ).
tff(func_def_334,type,
sK32: set_2 > $int ).
tff(func_def_335,type,
sK33: set_2 > $int ).
tff(func_def_336,type,
sK34: set_2 > $int ).
tff(func_def_337,type,
sK35: ( set_2 * $int ) > $int ).
tff(func_def_338,type,
sK36: ( $int * set_2 ) > $int ).
tff(func_def_339,type,
sK37: ( $int * set_2 ) > $int ).
tff(func_def_340,type,
sK38: set_2 > $int ).
tff(func_def_341,type,
sK39: set_2 > $int ).
tff(func_def_342,type,
sK40: ( set_2 * set_2 ) > $int ).
tff(func_def_343,type,
sK41: ( set_2 * set_2 ) > $int ).
tff(func_def_344,type,
sK42: set_2 > $int ).
tff(func_def_345,type,
sK43: set_2 > $int ).
tff(func_def_346,type,
sK44: set_2 > $int ).
tff(func_def_347,type,
sK45: ( $int * set_2 ) > $int ).
tff(func_def_348,type,
sK46: ( $int * set_2 ) > $int ).
tff(func_def_349,type,
sK47: ( $int * set_2 ) > $int ).
tff(func_def_350,type,
sK48: ( set_2 * set_2 ) > $int ).
tff(func_def_351,type,
sK49: ( set_2 * set_2 ) > $int ).
tff(func_def_352,type,
sK50: set_2 > $int ).
tff(func_def_353,type,
sK51: set_2 > $int ).
tff(func_def_354,type,
sK52: set_2 > $int ).
tff(func_def_355,type,
sK53: set_2 > $int ).
tff(func_def_356,type,
sK54: set_2 > $int ).
tff(func_def_357,type,
sK55: set_2 > $int ).
tff(func_def_358,type,
sK56: set_2 > $int ).
tff(func_def_359,type,
sK57: set_2 > $int ).
tff(pred_def_1,type,
mem0: ( $int * set_0 ) > $o ).
tff(pred_def_2,type,
mem2: ( $int * $int * set_2 ) > $o ).
tff(pred_def_3,type,
mem3: ( $int * $int * $int * set_3 ) > $o ).
tff(pred_def_4,type,
mem4: ( $int * $int * set_0 * set_4 ) > $o ).
tff(pred_def_5,type,
mem5: ( $int * set_2 * set_5 ) > $o ).
tff(pred_def_10,type,
sP0: set_2 > $o ).
tff(pred_def_11,type,
sP1: ( $int * set_2 ) > $o ).
tff(pred_def_12,type,
sP2: ( $int * set_2 ) > $o ).
tff(pred_def_13,type,
sP3: set_2 > $o ).
tff(pred_def_14,type,
sP4: ( $int * set_2 ) > $o ).
tff(pred_def_15,type,
sP5: ( set_2 * $int ) > $o ).
tff(pred_def_16,type,
sP6: $int > $o ).
tff(f13,axiom,
? [X0: set_5] :
( ! [X8: $int] :
( ? [X9: set_2] : mem5(X8,X9,X0)
<=> mem0(X8,g_s163_161) )
& ! [X3: $int,X5: set_2,X4: set_2] :
( ( mem5(X3,X4,X0)
& mem5(X3,X5,X0) )
=> ! [X7: $int,X6: $int] :
( mem2(X7,X6,X5)
<=> mem2(X7,X6,X4) ) )
& ! [X10: set_2] :
( ? [X11: $int] : mem5(X11,X10,X0)
=> ( ! [X14: $int,X16: $int,X15: $int] :
( ( mem2(X14,X16,X10)
& mem2(X14,X15,X10) )
=> ( X15 = X16 ) )
& ! [X13: $int,X12: $int] :
( mem2(X13,X12,X10)
=> ( mem0(X12,g_s155_153)
& mem0(X13,g_s137_135) ) ) ) )
& ! [X2: $int,X1: set_2] :
( mem5(X2,X1,X0)
<=> mem5(X2,X1,g_s274_270) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Define:abs:7') ).
tff(f336,conjecture,
( ! [X1: $int,X0: set_2] :
( mem5(X1,X0,g_s274_270)
=> ( ? [X2: set_2] : mem5(X1,X2,g_s274_270)
& ? [X3: $int] : mem5(X3,X0,g_s274_270) ) )
& ! [X5: set_2,X6: set_2,X4: $int] :
( ( mem5(X4,X6,g_s274_270)
& mem5(X4,X5,g_s274_270) )
=> ! [X8: $int,X7: $int] :
( mem2(X8,X7,X5)
<=> mem2(X8,X7,X6) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Goal') ).
tff(f337,negated_conjecture,
~ ( ! [X1: $int,X0: set_2] :
( mem5(X1,X0,g_s274_270)
=> ( ? [X2: set_2] : mem5(X1,X2,g_s274_270)
& ? [X3: $int] : mem5(X3,X0,g_s274_270) ) )
& ! [X5: set_2,X6: set_2,X4: $int] :
( ( mem5(X4,X6,g_s274_270)
& mem5(X4,X5,g_s274_270) )
=> ! [X8: $int,X7: $int] :
( mem2(X8,X7,X5)
<=> mem2(X8,X7,X6) ) ) ),
inference(negated_conjecture,[status(cth)],[f336]) ).
tff(f429,plain,
~ ( ! [X6: $int,X5: set_2,X4: set_2] :
( ( mem5(X6,X4,g_s274_270)
& mem5(X6,X5,g_s274_270) )
=> ! [X7: $int,X8: $int] :
( mem2(X7,X8,X5)
<=> mem2(X7,X8,X4) ) )
& ! [X1: $int,X0: set_2] :
( mem5(X1,X0,g_s274_270)
=> ( ? [X2: set_2] : mem5(X1,X2,g_s274_270)
& ? [X3: $int] : mem5(X3,X0,g_s274_270) ) ) ),
inference(rectify,[],[f337]) ).
tff(f435,plain,
? [X0: set_5] :
( ! [X1: $int] :
( ? [X2: set_2] : mem5(X1,X2,X0)
<=> mem0(X1,g_s163_161) )
& ! [X16: set_2,X15: $int] :
( mem5(X15,X16,X0)
<=> mem5(X15,X16,g_s274_270) )
& ! [X5: set_2,X3: $int,X4: set_2] :
( ( mem5(X3,X4,X0)
& mem5(X3,X5,X0) )
=> ! [X6: $int,X7: $int] :
( mem2(X6,X7,X5)
<=> mem2(X6,X7,X4) ) )
& ! [X8: set_2] :
( ? [X9: $int] : mem5(X9,X8,X0)
=> ( ! [X13: $int,X14: $int] :
( mem2(X13,X14,X8)
=> ( mem0(X14,g_s155_153)
& mem0(X13,g_s137_135) ) )
& ! [X12: $int,X10: $int,X11: $int] :
( ( mem2(X10,X11,X8)
& mem2(X10,X12,X8) )
=> ( X11 = X12 ) ) ) ) ),
inference(rectify,[],[f13]) ).
tff(f440,plain,
? [X0: set_5] :
( ! [X1: $int] :
( ? [X2: set_2] : mem5(X1,X2,X0)
<=> mem0(X1,g_s163_161) )
& ! [X16: set_2,X15: $int] :
( mem5(X15,X16,X0)
<=> mem5(X15,X16,g_s274_270) )
& ! [X5: set_2,X3: $int,X4: set_2] :
( ! [X6: $int,X7: $int] :
( mem2(X6,X7,X5)
<=> mem2(X6,X7,X4) )
| ~ mem5(X3,X4,X0)
| ~ mem5(X3,X5,X0) )
& ! [X8: set_2] :
( ( ! [X14: $int,X13: $int] :
( ( mem0(X14,g_s155_153)
& mem0(X13,g_s137_135) )
| ~ mem2(X13,X14,X8) )
& ! [X12: $int,X10: $int,X11: $int] :
( ( X11 = X12 )
| ~ mem2(X10,X11,X8)
| ~ mem2(X10,X12,X8) ) )
| ! [X9: $int] : ~ mem5(X9,X8,X0) ) ),
inference(ennf_transformation,[],[f435]) ).
tff(f441,plain,
? [X0: set_5] :
( ! [X16: set_2,X15: $int] :
( mem5(X15,X16,X0)
<=> mem5(X15,X16,g_s274_270) )
& ! [X8: set_2] :
( ! [X9: $int] : ~ mem5(X9,X8,X0)
| ( ! [X10: $int,X12: $int,X11: $int] :
( ~ mem2(X10,X11,X8)
| ( X11 = X12 )
| ~ mem2(X10,X12,X8) )
& ! [X14: $int,X13: $int] :
( ( mem0(X14,g_s155_153)
& mem0(X13,g_s137_135) )
| ~ mem2(X13,X14,X8) ) ) )
& ! [X1: $int] :
( ? [X2: set_2] : mem5(X1,X2,X0)
<=> mem0(X1,g_s163_161) )
& ! [X3: $int,X5: set_2,X4: set_2] :
( ! [X6: $int,X7: $int] :
( mem2(X6,X7,X5)
<=> mem2(X6,X7,X4) )
| ~ mem5(X3,X4,X0)
| ~ mem5(X3,X5,X0) ) ),
inference(flattening,[],[f440]) ).
tff(f443,plain,
( ? [X6: $int,X5: set_2,X4: set_2] :
( ? [X8: $int,X7: $int] :
( mem2(X7,X8,X4)
<~> mem2(X7,X8,X5) )
& mem5(X6,X4,g_s274_270)
& mem5(X6,X5,g_s274_270) )
| ? [X0: set_2,X1: $int] :
( mem5(X1,X0,g_s274_270)
& ( ! [X3: $int] : ~ mem5(X3,X0,g_s274_270)
| ! [X2: set_2] : ~ mem5(X1,X2,g_s274_270) ) ) ),
inference(ennf_transformation,[],[f429]) ).
tff(f444,plain,
( ? [X0: set_2,X1: $int] :
( mem5(X1,X0,g_s274_270)
& ( ! [X3: $int] : ~ mem5(X3,X0,g_s274_270)
| ! [X2: set_2] : ~ mem5(X1,X2,g_s274_270) ) )
| ? [X6: $int,X5: set_2,X4: set_2] :
( ? [X8: $int,X7: $int] :
( mem2(X7,X8,X4)
<~> mem2(X7,X8,X5) )
& mem5(X6,X4,g_s274_270)
& mem5(X6,X5,g_s274_270) ) ),
inference(flattening,[],[f443]) ).
tff(f469,plain,
? [X0: set_5] :
( ! [X16: set_2,X15: $int] :
( ( mem5(X15,X16,X0)
| ~ mem5(X15,X16,g_s274_270) )
& ( mem5(X15,X16,g_s274_270)
| ~ mem5(X15,X16,X0) ) )
& ! [X8: set_2] :
( ! [X9: $int] : ~ mem5(X9,X8,X0)
| ( ! [X10: $int,X12: $int,X11: $int] :
( ~ mem2(X10,X11,X8)
| ( X11 = X12 )
| ~ mem2(X10,X12,X8) )
& ! [X14: $int,X13: $int] :
( ( mem0(X14,g_s155_153)
& mem0(X13,g_s137_135) )
| ~ mem2(X13,X14,X8) ) ) )
& ! [X1: $int] :
( ( ? [X2: set_2] : mem5(X1,X2,X0)
| ~ mem0(X1,g_s163_161) )
& ( mem0(X1,g_s163_161)
| ! [X2: set_2] : ~ mem5(X1,X2,X0) ) )
& ! [X3: $int,X5: set_2,X4: set_2] :
( ! [X6: $int,X7: $int] :
( ( mem2(X6,X7,X5)
| ~ mem2(X6,X7,X4) )
& ( mem2(X6,X7,X4)
| ~ mem2(X6,X7,X5) ) )
| ~ mem5(X3,X4,X0)
| ~ mem5(X3,X5,X0) ) ),
inference(nnf_transformation,[],[f441]) ).
tff(f470,plain,
? [X0: set_5] :
( ! [X1: set_2,X2: $int] :
( ( mem5(X2,X1,X0)
| ~ mem5(X2,X1,g_s274_270) )
& ( mem5(X2,X1,g_s274_270)
| ~ mem5(X2,X1,X0) ) )
& ! [X3: set_2] :
( ! [X4: $int] : ~ mem5(X4,X3,X0)
| ( ! [X5: $int,X6: $int,X7: $int] :
( ~ mem2(X5,X7,X3)
| ( X6 = X7 )
| ~ mem2(X5,X6,X3) )
& ! [X8: $int,X9: $int] :
( ( mem0(X8,g_s155_153)
& mem0(X9,g_s137_135) )
| ~ mem2(X9,X8,X3) ) ) )
& ! [X10: $int] :
( ( ? [X11: set_2] : mem5(X10,X11,X0)
| ~ mem0(X10,g_s163_161) )
& ( mem0(X10,g_s163_161)
| ! [X12: set_2] : ~ mem5(X10,X12,X0) ) )
& ! [X13: $int,X14: set_2,X15: set_2] :
( ! [X16: $int,X17: $int] :
( ( mem2(X16,X17,X14)
| ~ mem2(X16,X17,X15) )
& ( mem2(X16,X17,X15)
| ~ mem2(X16,X17,X14) ) )
| ~ mem5(X13,X15,X0)
| ~ mem5(X13,X14,X0) ) ),
inference(rectify,[],[f469]) ).
tff(f471,plain,
( ! [X1: set_2,X2: $int] :
( ( mem5(X2,X1,sK9)
| ~ mem5(X2,X1,g_s274_270) )
& ( mem5(X2,X1,g_s274_270)
| ~ mem5(X2,X1,sK9) ) )
& ! [X3: set_2] :
( ! [X4: $int] : ~ mem5(X4,X3,sK9)
| ( ! [X5: $int,X6: $int,X7: $int] :
( ~ mem2(X5,X7,X3)
| ( X6 = X7 )
| ~ mem2(X5,X6,X3) )
& ! [X8: $int,X9: $int] :
( ( mem0(X8,g_s155_153)
& mem0(X9,g_s137_135) )
| ~ mem2(X9,X8,X3) ) ) )
& ! [X10: $int] :
( ( mem5(X10,sK10(X10),sK9)
| ~ mem0(X10,g_s163_161) )
& ( mem0(X10,g_s163_161)
| ! [X12: set_2] : ~ mem5(X10,X12,sK9) ) )
& ! [X13: $int,X14: set_2,X15: set_2] :
( ! [X16: $int,X17: $int] :
( ( mem2(X16,X17,X14)
| ~ mem2(X16,X17,X15) )
& ( mem2(X16,X17,X15)
| ~ mem2(X16,X17,X14) ) )
| ~ mem5(X13,X15,sK9)
| ~ mem5(X13,X14,sK9) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10]),skolemize(X0,sK9),skolemize(X11,sK10(X10))],[f470]) ).
tff(f480,plain,
( ? [X0: set_2,X1: $int] :
( mem5(X1,X0,g_s274_270)
& ( ! [X3: $int] : ~ mem5(X3,X0,g_s274_270)
| ! [X2: set_2] : ~ mem5(X1,X2,g_s274_270) ) )
| ? [X6: $int,X5: set_2,X4: set_2] :
( ? [X8: $int,X7: $int] :
( ( ~ mem2(X7,X8,X5)
| ~ mem2(X7,X8,X4) )
& ( mem2(X7,X8,X5)
| mem2(X7,X8,X4) ) )
& mem5(X6,X4,g_s274_270)
& mem5(X6,X5,g_s274_270) ) ),
inference(nnf_transformation,[],[f444]) ).
tff(f481,plain,
( ? [X0: set_2,X1: $int] :
( mem5(X1,X0,g_s274_270)
& ( ! [X2: $int] : ~ mem5(X2,X0,g_s274_270)
| ! [X3: set_2] : ~ mem5(X1,X3,g_s274_270) ) )
| ? [X4: $int,X5: set_2,X6: set_2] :
( ? [X7: $int,X8: $int] :
( ( ~ mem2(X8,X7,X5)
| ~ mem2(X8,X7,X6) )
& ( mem2(X8,X7,X5)
| mem2(X8,X7,X6) ) )
& mem5(X4,X6,g_s274_270)
& mem5(X4,X5,g_s274_270) ) ),
inference(rectify,[],[f480]) ).
tff(f482,plain,
( ( mem5(sK24,sK23,g_s274_270)
& ( ! [X2: $int] : ~ mem5(X2,sK23,g_s274_270)
| ! [X3: set_2] : ~ mem5(sK24,X3,g_s274_270) ) )
| ( ( ~ mem2(sK29,sK28,sK26)
| ~ mem2(sK29,sK28,sK27) )
& ( mem2(sK29,sK28,sK26)
| mem2(sK29,sK28,sK27) )
& mem5(sK25,sK27,g_s274_270)
& mem5(sK25,sK26,g_s274_270) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23,sK24,sK25,sK26,sK27,sK28,sK29]),skolemize(X0,sK23),skolemize(X1,sK24),skolemize(X4,sK25),skolemize(X5,sK26),skolemize(X6,sK27),skolemize(X7,sK28),skolemize(X8,sK29)],[f481]) ).
tff(f525,plain,
! [X16: $int,X14: set_2,X17: $int,X15: set_2,X13: $int] :
( ~ mem5(X13,X15,sK9)
| mem2(X16,X17,X15)
| ~ mem5(X13,X14,sK9)
| ~ mem2(X16,X17,X14) ),
inference(cnf_transformation,[],[f471]) ).
tff(f533,plain,
! [X2: $int,X1: set_2] :
( ~ mem5(X2,X1,g_s274_270)
| mem5(X2,X1,sK9) ),
inference(cnf_transformation,[],[f471]) ).
tff(f554,plain,
! [X2: $int,X3: set_2] :
( mem5(sK25,sK26,g_s274_270)
| ~ mem5(sK24,X3,g_s274_270)
| ~ mem5(X2,sK23,g_s274_270) ),
inference(cnf_transformation,[],[f482]) ).
tff(f555,plain,
! [X2: $int,X3: set_2] :
( mem5(sK25,sK27,g_s274_270)
| ~ mem5(X2,sK23,g_s274_270)
| ~ mem5(sK24,X3,g_s274_270) ),
inference(cnf_transformation,[],[f482]) ).
tff(f556,plain,
! [X2: $int,X3: set_2] :
( mem2(sK29,sK28,sK26)
| ~ mem5(sK24,X3,g_s274_270)
| mem2(sK29,sK28,sK27)
| ~ mem5(X2,sK23,g_s274_270) ),
inference(cnf_transformation,[],[f482]) ).
tff(f557,plain,
! [X2: $int,X3: set_2] :
( ~ mem2(sK29,sK28,sK27)
| ~ mem5(X2,sK23,g_s274_270)
| ~ mem5(sK24,X3,g_s274_270)
| ~ mem2(sK29,sK28,sK26) ),
inference(cnf_transformation,[],[f482]) ).
tff(f558,plain,
( mem5(sK24,sK23,g_s274_270)
| mem5(sK25,sK26,g_s274_270) ),
inference(cnf_transformation,[],[f482]) ).
tff(f559,plain,
( mem5(sK25,sK27,g_s274_270)
| mem5(sK24,sK23,g_s274_270) ),
inference(cnf_transformation,[],[f482]) ).
tff(f560,plain,
( mem2(sK29,sK28,sK27)
| mem2(sK29,sK28,sK26)
| mem5(sK24,sK23,g_s274_270) ),
inference(cnf_transformation,[],[f482]) ).
tff(f561,plain,
( ~ mem2(sK29,sK28,sK26)
| mem5(sK24,sK23,g_s274_270)
| ~ mem2(sK29,sK28,sK27) ),
inference(cnf_transformation,[],[f482]) ).
tff(f642,definition,
( spl58_4
<=> mem2(sK29,sK28,sK27) ),
introduced(definition,[new_symbols(definition,[spl58_4])],[avatar_definition]) ).
tff(f643,plain,
( ~ mem2(sK29,sK28,sK27)
| spl58_4 ),
inference(avatar_component_clause,[],[f642]) ).
tff(f644,plain,
( mem2(sK29,sK28,sK27)
| ~ spl58_4 ),
inference(avatar_component_clause,[],[f642]) ).
tff(f646,definition,
( spl58_5
<=> mem2(sK29,sK28,sK26) ),
introduced(definition,[new_symbols(definition,[spl58_5])],[avatar_definition]) ).
tff(f647,plain,
( ~ mem2(sK29,sK28,sK26)
| spl58_5 ),
inference(avatar_component_clause,[],[f646]) ).
tff(f648,plain,
( mem2(sK29,sK28,sK26)
| ~ spl58_5 ),
inference(avatar_component_clause,[],[f646]) ).
tff(f650,definition,
( spl58_6
<=> mem5(sK24,sK23,g_s274_270) ),
introduced(definition,[new_symbols(definition,[spl58_6])],[avatar_definition]) ).
tff(f652,plain,
( mem5(sK24,sK23,g_s274_270)
| ~ spl58_6 ),
inference(avatar_component_clause,[],[f650]) ).
tff(f653,plain,
( spl58_4
| spl58_5
| spl58_6 ),
inference(avatar_split_clause,[],[f560,f650,f646,f642]) ).
tff(f655,definition,
( spl58_7
<=> ! [X2: $int] : ~ mem5(X2,sK23,g_s274_270) ),
introduced(definition,[new_symbols(definition,[spl58_7])],[avatar_definition]) ).
tff(f656,plain,
( ! [X2: $int] : ~ mem5(X2,sK23,g_s274_270)
| ~ spl58_7 ),
inference(avatar_component_clause,[],[f655]) ).
tff(f658,definition,
( spl58_8
<=> ! [X3: set_2] : ~ mem5(sK24,X3,g_s274_270) ),
introduced(definition,[new_symbols(definition,[spl58_8])],[avatar_definition]) ).
tff(f659,plain,
( ! [X3: set_2] : ~ mem5(sK24,X3,g_s274_270)
| ~ spl58_8 ),
inference(avatar_component_clause,[],[f658]) ).
tff(f660,plain,
( spl58_7
| spl58_5
| spl58_8
| spl58_4 ),
inference(avatar_split_clause,[],[f556,f642,f658,f646,f655]) ).
tff(f673,definition,
( spl58_12
<=> mem5(sK25,sK27,g_s274_270) ),
introduced(definition,[new_symbols(definition,[spl58_12])],[avatar_definition]) ).
tff(f675,plain,
( mem5(sK25,sK27,g_s274_270)
| ~ spl58_12 ),
inference(avatar_component_clause,[],[f673]) ).
tff(f676,plain,
( spl58_12
| spl58_7
| spl58_8 ),
inference(avatar_split_clause,[],[f555,f658,f655,f673]) ).
tff(f681,plain,
( spl58_6
| ~ spl58_5
| ~ spl58_4 ),
inference(avatar_split_clause,[],[f561,f642,f646,f650]) ).
tff(f687,definition,
( spl58_15
<=> mem5(sK25,sK26,g_s274_270) ),
introduced(definition,[new_symbols(definition,[spl58_15])],[avatar_definition]) ).
tff(f689,plain,
( mem5(sK25,sK26,g_s274_270)
| ~ spl58_15 ),
inference(avatar_component_clause,[],[f687]) ).
tff(f690,plain,
( spl58_6
| spl58_15 ),
inference(avatar_split_clause,[],[f558,f687,f650]) ).
tff(f691,plain,
( spl58_12
| spl58_6 ),
inference(avatar_split_clause,[],[f559,f650,f673]) ).
tff(f692,plain,
( spl58_7
| spl58_15
| spl58_8 ),
inference(avatar_split_clause,[],[f554,f658,f687,f655]) ).
tff(f693,plain,
( spl58_7
| spl58_8
| ~ spl58_4
| ~ spl58_5 ),
inference(avatar_split_clause,[],[f557,f646,f642,f658,f655]) ).
tff(f694,plain,
( $false
| ~ spl58_6
| ~ spl58_7 ),
inference(resolution,[],[f656,f652]) ).
tff(f695,plain,
( ~ spl58_6
| ~ spl58_7 ),
inference(avatar_contradiction_clause,[],[f694]) ).
tff(f696,plain,
( $false
| ~ spl58_6
| ~ spl58_8 ),
inference(resolution,[],[f659,f652]) ).
tff(f697,plain,
( ~ spl58_6
| ~ spl58_8 ),
inference(avatar_contradiction_clause,[],[f696]) ).
tff(f703,plain,
( mem5(sK25,sK27,sK9)
| ~ spl58_12 ),
inference(resolution,[],[f533,f675]) ).
tff(f704,plain,
( mem5(sK25,sK26,sK9)
| ~ spl58_15 ),
inference(resolution,[],[f533,f689]) ).
tff(f1867,plain,
( ! [X2: set_2,X0: $int,X1: $int] :
( ~ mem5(sK25,X2,sK9)
| mem2(X0,X1,sK27)
| ~ mem2(X0,X1,X2) )
| ~ spl58_12 ),
inference(resolution,[],[f525,f703]) ).
tff(f1868,plain,
( ! [X2: set_2,X0: $int,X1: $int] :
( ~ mem5(sK25,X2,sK9)
| mem2(X0,X1,sK26)
| ~ mem2(X0,X1,X2) )
| ~ spl58_15 ),
inference(resolution,[],[f525,f704]) ).
tff(f4176,plain,
( ! [X0: $int,X1: $int] :
( ~ mem2(X0,X1,sK26)
| mem2(X0,X1,sK27) )
| ~ spl58_12
| ~ spl58_15 ),
inference(resolution,[],[f1867,f704]) ).
tff(f4183,plain,
( ! [X0: $int,X1: $int] :
( ~ mem2(X0,X1,sK27)
| mem2(X0,X1,sK26) )
| ~ spl58_12
| ~ spl58_15 ),
inference(resolution,[],[f1868,f703]) ).
tff(f4212,plain,
( mem2(sK29,sK28,sK26)
| ~ spl58_4
| ~ spl58_12
| ~ spl58_15 ),
inference(resolution,[],[f4183,f644]) ).
tff(f4237,plain,
( $false
| ~ spl58_4
| spl58_5
| ~ spl58_12
| ~ spl58_15 ),
inference(forward_subsumption_resolution,[],[f4212,f647]) ).
tff(f4238,plain,
( ~ spl58_4
| spl58_5
| ~ spl58_12
| ~ spl58_15 ),
inference(avatar_contradiction_clause,[],[f4237]) ).
tff(f4249,plain,
( mem2(sK29,sK28,sK27)
| ~ spl58_5
| ~ spl58_12
| ~ spl58_15 ),
inference(resolution,[],[f648,f4176]) ).
tff(f4253,plain,
( $false
| spl58_4
| ~ spl58_5
| ~ spl58_12
| ~ spl58_15 ),
inference(forward_subsumption_resolution,[],[f4249,f643]) ).
tff(f4254,plain,
( spl58_4
| ~ spl58_5
| ~ spl58_12
| ~ spl58_15 ),
inference(avatar_contradiction_clause,[],[f4253]) ).
cnf(s3,plain,
( spl58_4
| spl58_5
| spl58_6 ),
inference(sat_conversion,[],[f653]) ).
cnf(s4,plain,
( spl58_4
| spl58_5
| spl58_7
| spl58_8 ),
inference(sat_conversion,[],[f660]) ).
cnf(s7,plain,
( spl58_7
| spl58_8
| spl58_12 ),
inference(sat_conversion,[],[f676]) ).
cnf(s9,plain,
( ~ spl58_4
| ~ spl58_5
| spl58_6 ),
inference(sat_conversion,[],[f681]) ).
cnf(s11,plain,
( spl58_6
| spl58_15 ),
inference(sat_conversion,[],[f690]) ).
cnf(s12,plain,
( spl58_6
| spl58_12 ),
inference(sat_conversion,[],[f691]) ).
cnf(s13,plain,
( spl58_7
| spl58_8
| spl58_15 ),
inference(sat_conversion,[],[f692]) ).
cnf(s14,plain,
( ~ spl58_4
| ~ spl58_5
| spl58_7
| spl58_8 ),
inference(sat_conversion,[],[f693]) ).
cnf(s15,plain,
( ~ spl58_6
| ~ spl58_7 ),
inference(sat_conversion,[],[f695]) ).
cnf(s16,plain,
( ~ spl58_6
| ~ spl58_8 ),
inference(sat_conversion,[],[f697]) ).
cnf(s477,plain,
( ~ spl58_4
| spl58_5
| ~ spl58_12
| ~ spl58_15 ),
inference(sat_conversion,[],[f4238]) ).
cnf(s480,plain,
( spl58_4
| ~ spl58_5
| ~ spl58_12
| ~ spl58_15 ),
inference(sat_conversion,[],[f4254]) ).
cnf(s481,plain,
( spl58_5
| spl58_4 ),
inference(rat,[],[s4,s15,s16,s3]) ).
cnf(s482,plain,
( ~ spl58_6
| spl58_4 ),
inference(rat,[],[s480,s7,s13,s15,s16,s481]) ).
cnf(s483,plain,
spl58_4,
inference(rat,[],[s480,s11,s12,s482,s481]) ).
cnf(s484,plain,
~ spl58_5,
inference(rat,[],[s14,s15,s16,s9,s483]) ).
cnf(s485,plain,
( spl58_7
| spl58_8 ),
inference(rat,[],[s477,s7,s13,s484,s483]) ).
cnf(s486,plain,
~ spl58_6,
inference(rat,[],[s485,s15,s16]) ).
cnf(s487,plain,
spl58_12,
inference(rat,[],[s12,s486]) ).
cnf(s488,plain,
spl58_15,
inference(rat,[],[s11,s486]) ).
cnf(s491,plain,
$false,
inference(rat,[],[s477,s484,s483,s488,s487]) ).
tff(f4255,plain,
$false,
inference(avatar_sat_refutation,[],[s491]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWC536_1 : TPTP v9.3.1. Bugfixed v9.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.23 % Computer : n009.cluster.edu
% 0.11/0.23 % Model : x86_64 x86_64
% 0.11/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.23 % Memory : 8046.5625MB
% 0.11/0.23 % OS : Linux 6.8.0-71-generic
% 0.11/0.23 % CPULimit : 300
% 0.11/0.23 % WCLimit : 300
% 0.11/0.23 % DateTime : Mon Sep 28 09:42:00 UTC 2026
% 0.11/0.23 % CPUTime :
% 0.11/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.27 Running first-order theorem proving
% 0.24/0.27 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
% 3.09/1.16 % (2920915)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.09/1.16 % (2921012)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3398578174:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.09/1.16 % (2921012)Instruction limit reached!
% 3.09/1.16 % (2921012)------------------------------
% 3.09/1.16 % (2921012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.09/1.16 % (2921012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/1.16 % (2921012)CaDiCaL version: 2.1.3
% 3.09/1.16 % (2921012)Termination reason: Instruction limit
% 3.09/1.16 % (2921012)Termination phase: Property scanning
% 3.09/1.16 % (2921012)Time elapsed: 0.002 s
% 3.09/1.16 % (2921012)Peak memory usage: 86 MB
% 3.09/1.16 % (2921012)Instructions burned: 6 (million)
% 3.09/1.16 % (2921007)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2628413008:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.09/1.16 % (2921016)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=108176132:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.09/1.16 % (2921006)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2283002481:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.09/1.16 % (2921006)Instruction limit reached!
% 3.09/1.16 % (2921006)------------------------------
% 3.09/1.16 % (2921006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.09/1.16 % (2921006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/1.16 % (2921006)CaDiCaL version: 2.1.3
% 3.09/1.16 % (2921006)Termination reason: Instruction limit
% 3.09/1.16 % (2921006)Termination phase: Property scanning
% 3.09/1.16 % (2921006)Time elapsed: 0.006 s
% 3.09/1.16 % (2921006)Peak memory usage: 86 MB
% 3.09/1.16 % (2921006)Instructions burned: 12 (million)
% 3.09/1.16 % (2921011)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=890419486:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.09/1.16 % (2921014)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2539197185:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.09/1.16 % (2921009)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2333900897:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.09/1.16 % (2921011)Instruction limit reached!
% 3.09/1.16 % (2921011)------------------------------
% 3.09/1.16 % (2921011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.09/1.16 % (2921011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/1.16 % (2921011)CaDiCaL version: 2.1.3
% 3.09/1.16 % (2921011)Termination reason: Instruction limit
% 3.09/1.16 % (2921011)Termination phase: Property scanning
% 3.09/1.16 % (2921011)Time elapsed: 0.004 s
% 3.09/1.16 % (2921011)Peak memory usage: 86 MB
% 3.09/1.16 % (2921011)Instructions burned: 7 (million)
% 3.09/1.16 % (2921016)Instruction limit reached!
% 3.09/1.16 % (2921016)------------------------------
% 3.09/1.16 % (2921016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.09/1.16 % (2921016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/1.16 % (2921016)CaDiCaL version: 2.1.3
% 3.09/1.16 % (2921016)Termination reason: Instruction limit
% 3.09/1.16 % (2921016)Termination phase: Property scanning
% 3.09/1.16 % (2921016)Time elapsed: 0.020 s
% 3.09/1.16 % (2921016)Peak memory usage: 88 MB
% 3.09/1.16 % (2921016)Instructions burned: 33 (million)
% 3.09/1.16 % (2921034)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=611382139:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.09/1.16 % (2921034)Instruction limit reached!
% 3.09/1.16 % (2921034)------------------------------
% 3.09/1.16 % (2921034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.09/1.16 % (2921034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/1.16 % (2921034)CaDiCaL version: 2.1.3
% 3.09/1.16 % (2921034)Termination reason: Instruction limit
% 3.09/1.16 % (2921034)Termination phase: Preprocessing 3
% 3.09/1.16 % (2921034)Time elapsed: 0.005 s
% 3.09/1.16 % (2921034)Peak memory usage: 87 MB
% 3.09/1.16 % (2921034)Instructions burned: 14 (million)
% 3.09/1.16 % (2921014)Instruction limit reached!
% 3.09/1.16 % (2921014)------------------------------
% 4.20/1.32 % (2921014)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/1.32 % (2921014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/1.32 % (2921014)CaDiCaL version: 2.1.3
% 4.20/1.32 % (2921014)Termination reason: Instruction limit
% 4.20/1.32 % (2921014)Termination phase: Saturation
% 4.20/1.32 % (2921014)Time elapsed: 0.047 s
% 4.20/1.32 % (2921014)Peak memory usage: 113 MB
% 4.20/1.32 % (2921014)Instructions burned: 47 (million)
% 4.20/1.32 % (2921047)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=2950847315:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 4.20/1.32 % (2921043)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=2583234560:i=24:canc=force:rtra=on_2998 on theBenchmark for (2998ds/24Mi)
% 4.20/1.32 % (2921041)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=2275311585:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 4.20/1.32 % (2921042)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=563793505:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 4.20/1.32 % (2921047)Instruction limit reached!
% 4.20/1.32 % (2921047)------------------------------
% 4.20/1.32 % (2921047)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/1.32 % (2921047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/1.32 % (2921047)CaDiCaL version: 2.1.3
% 4.20/1.32 % (2921047)Termination reason: Instruction limit
% 4.20/1.32 % (2921047)Termination phase: Property scanning
% 4.20/1.32 % (2921047)Time elapsed: 0.009 s
% 4.20/1.32 % (2921047)Peak memory usage: 88 MB
% 4.20/1.32 % (2921047)Instructions burned: 28 (million)
% 4.20/1.32 % (2921007)Instruction limit reached!
% 4.20/1.32 % (2921007)------------------------------
% 4.20/1.32 % (2921007)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/1.32 % (2921007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/1.32 % (2921007)CaDiCaL version: 2.1.3
% 4.20/1.32 % (2921007)Termination reason: Instruction limit
% 4.20/1.32 % (2921007)Termination phase: Property scanning
% 4.20/1.32 % (2921007)Time elapsed: 0.151 s
% 4.20/1.32 % (2921007)Peak memory usage: 112 MB
% 4.20/1.32 % (2921007)Instructions burned: 309 (million)
% 4.20/1.32 % (2921042)Instruction limit reached!
% 4.20/1.32 % (2921042)------------------------------
% 4.20/1.32 % (2921042)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/1.32 % (2921042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/1.32 % (2921042)CaDiCaL version: 2.1.3
% 4.20/1.32 % (2921042)Termination reason: Instruction limit
% 4.20/1.32 % (2921042)Termination phase: Preprocessing 3
% 4.20/1.32 % (2921042)Time elapsed: 0.011 s
% 4.20/1.32 % (2921042)Peak memory usage: 87 MB
% 4.20/1.32 % (2921042)Instructions burned: 16 (million)
% 4.20/1.32 % (2921043)Instruction limit reached!
% 4.20/1.32 % (2921043)------------------------------
% 4.20/1.32 % (2921043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/1.32 % (2921043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/1.32 % (2921043)CaDiCaL version: 2.1.3
% 4.20/1.32 % (2921043)Termination reason: Instruction limit
% 4.20/1.32 % (2921043)Termination phase: Preprocessing 3
% 4.20/1.32 % (2921043)Time elapsed: 0.015 s
% 4.20/1.32 % (2921043)Peak memory usage: 88 MB
% 4.20/1.32 % (2921043)Instructions burned: 24 (million)
% 4.20/1.32 % (2921041)Instruction limit reached!
% 4.20/1.32 % (2921041)------------------------------
% 4.20/1.32 % (2921041)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/1.32 % (2921041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/1.32 % (2921041)CaDiCaL version: 2.1.3
% 4.20/1.32 % (2921041)Termination reason: Instruction limit
% 4.20/1.32 % (2921041)Termination phase: Clausification
% 4.20/1.32 % (2921041)Time elapsed: 0.020 s
% 4.20/1.32 % (2921041)Peak memory usage: 90 MB
% 4.20/1.32 % (2921041)Instructions burned: 30 (million)
% 4.20/1.32 % (2921009)Instruction limit reached!
% 4.20/1.32 % (2921009)------------------------------
% 4.20/1.32 % (2921009)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/1.32 % (2921009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.96/1.45 % (2921009)CaDiCaL version: 2.1.3
% 4.96/1.45 % (2921009)Termination reason: Instruction limit
% 4.96/1.45 % (2921009)Termination phase: Saturation
% 4.96/1.45 % (2921009)Time elapsed: 0.165 s
% 4.96/1.45 % (2921009)Peak memory usage: 119 MB
% 4.96/1.45 % (2921009)Instructions burned: 201 (million)
% 4.96/1.45 % (2921051)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=384306462:i=85:gtgl=4:rtra=on:gtg=exists_sym_2997 on theBenchmark for (2997ds/85Mi)
% 4.96/1.45 % (2921094)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=1677952066:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2997 on theBenchmark for (2997ds/2Mi)
% 4.96/1.45 % (2921051)Instruction limit reached!
% 4.96/1.45 % (2921051)------------------------------
% 4.96/1.45 % (2921051)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.96/1.45 % (2921051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.96/1.45 % (2921051)CaDiCaL version: 2.1.3
% 4.96/1.45 % (2921051)Termination reason: Instruction limit
% 4.96/1.45 % (2921051)Termination phase: Saturation
% 4.96/1.45 % (2921051)Time elapsed: 0.050 s
% 4.96/1.45 % (2921051)Peak memory usage: 91 MB
% 4.96/1.45 % (2921051)Instructions burned: 85 (million)
% 4.96/1.45 % (2921094)Instruction limit reached!
% 4.96/1.45 % (2921094)------------------------------
% 4.96/1.45 % (2921094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.96/1.45 % (2921094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.96/1.45 % (2921094)CaDiCaL version: 2.1.3
% 4.96/1.45 % (2921094)Termination reason: Instruction limit
% 4.96/1.45 % (2921094)Termination phase: Property scanning
% 4.96/1.45 % (2921094)Time elapsed: 0.002 s
% 4.96/1.45 % (2921094)Peak memory usage: 86 MB
% 4.96/1.45 % (2921094)Instructions burned: 6 (million)
% 4.96/1.45 % (2921095)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=2214156277:i=181:rtra=on:ss=axioms:ev=cautious_2997 on theBenchmark for (2997ds/181Mi)
% 4.96/1.45 % (2921098)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=2046090034:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2996 on theBenchmark for (2996ds/66Mi)
% 4.96/1.45 % (2921096)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=4275639118:i=4:ep=RST:ins=2:rtra=on_2996 on theBenchmark for (2996ds/4Mi)
% 4.96/1.45 % (2921096)Instruction limit reached!
% 4.96/1.45 % (2921096)------------------------------
% 4.96/1.45 % (2921096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.96/1.45 % (2921096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.96/1.45 % (2921096)CaDiCaL version: 2.1.3
% 4.96/1.45 % (2921096)Termination reason: Instruction limit
% 4.96/1.45 % (2921096)Termination phase: Property scanning
% 4.96/1.45 % (2921096)Time elapsed: 0.003 s
% 4.96/1.45 % (2921096)Peak memory usage: 86 MB
% 4.96/1.45 % (2921096)Instructions burned: 4 (million)
% 4.96/1.45 % (2921102)lrs+10_1_thi=all:si=on:fd=off:random_seed=2847195078:i=53:rtra=on:gtg=all_2996 on theBenchmark for (2996ds/53Mi)
% 4.96/1.45 % (2921104)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=3226044612:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2996 on theBenchmark for (2996ds/8Mi)
% 4.96/1.45 % (2921104)Instruction limit reached!
% 4.96/1.45 % (2921104)------------------------------
% 4.96/1.45 % (2921104)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.96/1.45 % (2921104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.96/1.45 % (2921104)CaDiCaL version: 2.1.3
% 4.96/1.45 % (2921104)Termination reason: Instruction limit
% 4.96/1.45 % (2921104)Termination phase: Property scanning
% 4.96/1.45 % (2921104)Time elapsed: 0.005 s
% 4.96/1.45 % (2921104)Peak memory usage: 86 MB
% 4.96/1.45 % (2921104)Instructions burned: 9 (million)
% 4.96/1.45 % (2921107)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=2470556471:i=2:doe=on:canc=force:asg=cautious:rtra=on_2996 on theBenchmark for (2996ds/2Mi)
% 4.96/1.45 % (2921102)Instruction limit reached!
% 4.96/1.45 % (2921102)------------------------------
% 4.96/1.45 % (2921102)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.96/1.45 % (2921102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.96/1.45 % (2921102)CaDiCaL version: 2.1.3
% 4.96/1.45 % (2921102)Termination reason: Instruction limit
% 4.96/1.45 % (2921102)Termination phase: Saturation
% 4.96/1.45 % (2921102)Time elapsed: 0.032 s
% 4.96/1.45 % (2921102)Peak memory usage: 93 MB
% 4.96/1.45 % (2921102)Instructions burned: 53 (million)
% 4.96/1.45 % (2921107)Instruction limit reached!
% 4.96/1.45 % (2921107)------------------------------
% 4.96/1.45 % (2921107)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.96/1.45 % (2921107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.96/1.45 % (2921107)CaDiCaL version: 2.1.3
% 4.96/1.45 % (2921107)Termination reason: Instruction limit
% 4.96/1.45 % (2921107)Termination phase: Property scanning
% 4.96/1.45 % (2921107)Time elapsed: 0.002 s
% 4.96/1.45 % (2921107)Peak memory usage: 86 MB
% 4.96/1.45 % (2921107)Instructions burned: 6 (million)
% 4.96/1.45 % (2921095)First to succeed.
% 4.96/1.45 % (2921098)Instruction limit reached!
% 4.96/1.45 % (2921098)------------------------------
% 4.96/1.45 % (2921098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.96/1.45 % (2921095)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2920915"
% 4.96/1.45 % (2921098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.96/1.45 % (2921098)CaDiCaL version: 2.1.3
% 4.96/1.45 % (2921098)Termination reason: Instruction limit
% 4.96/1.45 % (2921098)Termination phase: Saturation
% 4.96/1.45 % (2921098)Time elapsed: 0.078 s
% 4.96/1.45 % (2921098)Peak memory usage: 131 MB
% 4.96/1.45 % (2921098)Instructions burned: 66 (million)
% 4.96/1.45 % (2921106)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=853615376:st=3:i=2:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/2Mi)
% 4.96/1.45 % (2921106)Instruction limit reached!
% 4.96/1.45 % (2921106)------------------------------
% 4.96/1.45 % (2921106)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.96/1.45 % (2921106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.96/1.45 % (2921106)CaDiCaL version: 2.1.3
% 4.96/1.45 % (2921106)Termination reason: Instruction limit
% 4.96/1.45 % (2921106)Termination phase: Property scanning
% 4.96/1.45 % (2921106)Time elapsed: 0.002 s
% 4.96/1.45 % (2921106)Peak memory usage: 86 MB
% 4.96/1.45 % (2921106)Instructions burned: 2 (million)
% 4.96/1.45 % (2921116)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=3683787424:i=26:canc=cautious:av=off:rtra=on_2995 on theBenchmark for (2995ds/26Mi)
% 4.96/1.45 % (2921116)Instruction limit reached!
% 4.96/1.45 % (2921116)------------------------------
% 4.96/1.45 % (2921116)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.96/1.45 % (2921116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.96/1.45 % (2921116)CaDiCaL version: 2.1.3
% 4.96/1.45 % (2921116)Termination reason: Instruction limit
% 4.96/1.45 % (2921116)Termination phase: Property scanning
% 4.96/1.45 % (2921116)Time elapsed: 0.010 s
% 4.96/1.45 % (2921116)Peak memory usage: 88 MB
% 4.96/1.45 % (2921116)Instructions burned: 30 (million)
% 4.96/1.45 % (2921111)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=276963640:i=127:doe=on:rtra=on_2995 on theBenchmark for (2995ds/127Mi)
% 4.96/1.45 % (2921114)dis+10_1_si=on:random_seed=312220837:i=10:ep=R:rtra=on_2995 on theBenchmark for (2995ds/10Mi)
% 4.96/1.45 % (2921114)Instruction limit reached!
% 4.96/1.45 % (2921114)------------------------------
% 4.96/1.45 % (2921114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.96/1.45 % (2921114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.96/1.45 % (2921114)CaDiCaL version: 2.1.3
% 4.96/1.45 % (2921114)Termination reason: Instruction limit
% 4.96/1.45 % (2921114)Termination phase: Preprocessing 1
% 4.96/1.45 % (2921114)Time elapsed: 0.006 s
% 4.96/1.45 % (2921114)Peak memory usage: 86 MB
% 4.96/1.45 % (2921114)Instructions burned: 11 (million)
% 4.96/1.45 % (2921117)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=1350712075: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_2995 on theBenchmark for (2995ds/35Mi)
% 4.96/1.45 % (2921117)Instruction limit reached!
% 4.96/1.45 % (2921117)------------------------------
% 4.96/1.45 % (2921117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.96/1.45 % (2921117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.96/1.45 % (2921117)CaDiCaL version: 2.1.3
% 4.96/1.45 % (2921117)Termination reason: Instruction limit
% 4.96/1.46 % (2921117)Termination phase: Property scanning
% 4.96/1.46 % (2921117)Time elapsed: 0.022 s
% 4.96/1.46 % (2921117)Peak memory usage: 88 MB
% 4.96/1.46 % (2921117)Instructions burned: 35 (million)
% 4.96/1.46 % (2921118)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=3723959947:i=2:fsr=off:rtra=on:inst=on_2994 on theBenchmark for (2994ds/2Mi)
% 4.96/1.46 % (2921118)Instruction limit reached!
% 4.96/1.46 % (2921118)------------------------------
% 4.96/1.46 % (2921118)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.96/1.46 % (2921118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.96/1.46 % (2921118)CaDiCaL version: 2.1.3
% 4.96/1.46 % (2921118)Termination reason: Instruction limit
% 4.96/1.46 % (2921118)Termination phase: Property scanning
% 4.96/1.46 % (2921118)Time elapsed: 0.002 s
% 4.96/1.46 % (2921118)Peak memory usage: 86 MB
% 4.96/1.46 % (2921118)Instructions burned: 2 (million)
% 4.96/1.46 % (2921120)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=3655363636:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2994 on theBenchmark for (2994ds/8Mi)
% 4.96/1.46 % (2921123)lrs-1011_1_to=kbo:sil=128000:prc=on:si=on:fs=off:tha=off:random_seed=3752129551:i=370:ep=RS:fsr=off:rtra=on_2994 on theBenchmark for (2994ds/370Mi)
% 4.96/1.46 % (2921120)Instruction limit reached!
% 4.96/1.46 % (2921120)------------------------------
% 4.96/1.46 % (2921120)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.96/1.46 % (2921120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.96/1.46 % (2921120)CaDiCaL version: 2.1.3
% 4.96/1.46 % (2921120)Termination reason: Instruction limit
% 4.96/1.46 % (2921120)Termination phase: SInE selection
% 4.96/1.46 % (2921120)Time elapsed: 0.005 s
% 4.96/1.46 % (2921120)Peak memory usage: 86 MB
% 4.96/1.46 % (2921120)Instructions burned: 9 (million)
% 4.96/1.46 % (2921111)Instruction limit reached!
% 4.96/1.46 % (2921111)------------------------------
% 4.96/1.46 % (2921111)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.96/1.46 % (2921111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.96/1.46 % (2921111)CaDiCaL version: 2.1.3
% 4.96/1.46 % (2921111)Termination reason: Instruction limit
% 4.96/1.46 % (2921111)Termination phase: Saturation
% 4.96/1.46 % (2921111)Time elapsed: 0.102 s
% 4.96/1.46 % (2921111)Peak memory usage: 119 MB
% 4.96/1.46 % (2921111)Instructions burned: 128 (million)
% 4.96/1.46 % (2921125)ott+1002_1_to=lpo:thi=overlap:prc=on:bsd=on:si=on:gve=cautious:thigen=on:tha=some:random_seed=3873330624:i=13:av=off:rtra=on:gtg=exists_sym:ev=force_2994 on theBenchmark for (2994ds/13Mi)
% 4.96/1.46 % (2921125)Instruction limit reached!
% 4.96/1.46 % (2921125)------------------------------
% 4.96/1.46 % (2921125)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.96/1.46 % (2921125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.96/1.46 % (2921125)CaDiCaL version: 2.1.3
% 4.96/1.46 % (2921125)Termination reason: Instruction limit
% 4.96/1.46 % (2921125)Termination phase: Property scanning
% 4.96/1.46 % (2921125)Time elapsed: 0.007 s
% 4.96/1.46 % (2921125)Peak memory usage: 86 MB
% 4.96/1.46 % (2921125)Instructions burned: 14 (million)
% 4.96/1.46 % (2921128)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=2983492633:i=226:rtra=on:gtg=position:ss=axioms_2993 on theBenchmark for (2993ds/226Mi)
% 4.96/1.46 % (2921095)Refutation found. Thanks to Tanya!
% 4.96/1.46 % SZS status Theorem for theBenchmark
% 4.96/1.46 % SZS output start Proof for theBenchmark
% See solution above
% 5.98/1.64 % (2921095)------------------------------
% 5.98/1.64 % (2921095)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.98/1.64 % (2921095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.98/1.64 % (2921095)CaDiCaL version: 2.1.3
% 5.98/1.64 % (2921095)Termination reason: Refutation
% 5.98/1.64 % (2921095)Time elapsed: 0.081 s
% 5.98/1.64 % (2921095)Peak memory usage: 93 MB
% 5.98/1.64 % (2921095)Instructions burned: 117 (million)
% 5.98/1.64 % (2921095)------------------------------
% 5.98/1.64 % (2921095)------------------------------
% 5.98/1.64 % (2920915)Success in time 0.76 s
% 5.98/1.64 % Vampire exiting
%------------------------------------------------------------------------------