%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC537_1 : TPTP v9.3.1. Bugfixed v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 01:06:13 PM UTC 2026
% Result : Theorem 0.20s 0.32s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 16
% Syntax : Number of formulae : 148 ( 18 unt; 0 typ; 11 def)
% Number of atoms : 498 ( 60 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 529 ( 179 ~; 274 |; 57 &)
% ( 11 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number arithmetic : 102 ( 0 atm; 0 fun; 0 num; 102 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 : 20 ( 18 usr; 12 prp; 0-4 aty)
% Number of functors : 317 ( 317 usr; 231 con; 0-3 aty)
% Number of variables : 102 ( 0 sgn 85 !; 17 ?; 102 :)
% 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: set_0 ).
tff(func_def_11,type,
g_s4_4: set_0 ).
tff(func_def_12,type,
g_s5_5: set_0 ).
tff(func_def_13,type,
g_s6_6: set_0 ).
tff(func_def_14,type,
g_s7_7: set_2 ).
tff(func_def_15,type,
g_s9_8: set_2 ).
tff(func_def_16,type,
g_s11_9: set_0 ).
tff(func_def_17,type,
g_s12_10: set_0 ).
tff(func_def_18,type,
g_s13_11: set_0 ).
tff(func_def_19,type,
g_s14_12: $int ).
tff(func_def_20,type,
g_s15_13: $int ).
tff(func_def_21,type,
g_s16_14: set_0 ).
tff(func_def_22,type,
g_s17_15: set_0 ).
tff(func_def_23,type,
g_s18_16: $int ).
tff(func_def_24,type,
g_s19_17: $int ).
tff(func_def_25,type,
g_s20_18: set_2 ).
tff(func_def_26,type,
g_s21_19: $int ).
tff(func_def_27,type,
g_s22_20: set_0 ).
tff(func_def_28,type,
g_s23_21: $int ).
tff(func_def_29,type,
g_s24_22: $int ).
tff(func_def_30,type,
g_s25_23: set_2 ).
tff(func_def_31,type,
g_s26_24: $int ).
tff(func_def_32,type,
set_3_empty: set_3 ).
tff(func_def_33,type,
set_3_insert: set_3 > set_3 ).
tff(func_def_34,type,
g_s27_25: set_3 ).
tff(func_def_35,type,
g_s28_26: set_0 ).
tff(func_def_36,type,
g_s29_27: set_3 ).
tff(func_def_37,type,
g_s30_28: set_3 ).
tff(func_def_38,type,
g_s31_29: set_3 ).
tff(func_def_39,type,
set_4_empty: set_4 ).
tff(func_def_40,type,
set_4_insert: set_4 > set_4 ).
tff(func_def_41,type,
g_s32_30: set_4 ).
tff(func_def_42,type,
g_s33_31: set_4 ).
tff(func_def_43,type,
g_s34_32: set_4 ).
tff(func_def_44,type,
g_s35_33: set_4 ).
tff(func_def_45,type,
g_s36_34: set_4 ).
tff(func_def_46,type,
g_s37_35: set_2 ).
tff(func_def_47,type,
g_s38_36: set_2 ).
tff(func_def_48,type,
g_s39_37: set_3 ).
tff(func_def_49,type,
g_s40_38: set_3 ).
tff(func_def_50,type,
g_s41_39: set_3 ).
tff(func_def_51,type,
g_s42_40: set_3 ).
tff(func_def_52,type,
g_s43_41: set_2 ).
tff(func_def_53,type,
g_s44_42: set_2 ).
tff(func_def_54,type,
g_s45_43: set_3 ).
tff(func_def_55,type,
g_s46_44: set_3 ).
tff(func_def_56,type,
g_s47_45: set_3 ).
tff(func_def_57,type,
g_s48_46: set_3 ).
tff(func_def_58,type,
g_s49_47: set_3 ).
tff(func_def_59,type,
g_s50_48: set_3 ).
tff(func_def_60,type,
g_s53_49: set_0 ).
tff(func_def_61,type,
g_s54_50: $int ).
tff(func_def_62,type,
g_s55_51: set_2 ).
tff(func_def_63,type,
g_s56_52: set_0 ).
tff(func_def_64,type,
g_s57_53: $int ).
tff(func_def_65,type,
g_s58_54: set_2 ).
tff(func_def_66,type,
g_s59_55: set_0 ).
tff(func_def_67,type,
g_s60_56: $int ).
tff(func_def_68,type,
g_s61_57: set_2 ).
tff(func_def_69,type,
g_s62_58: set_0 ).
tff(func_def_70,type,
g_s63_59: $int ).
tff(func_def_71,type,
g_s64_60: set_2 ).
tff(func_def_72,type,
g_s65_61: set_0 ).
tff(func_def_73,type,
g_s66_62: $int ).
tff(func_def_74,type,
g_s67_63: set_2 ).
tff(func_def_75,type,
g_s68_64: set_2 ).
tff(func_def_76,type,
g_s69_65: set_2 ).
tff(func_def_77,type,
g_s70_66: $int ).
tff(func_def_78,type,
g_s71_67: $int ).
tff(func_def_79,type,
g_s72_68: set_2 ).
tff(func_def_80,type,
g_s73_69: set_2 ).
tff(func_def_81,type,
g_s74_70: set_0 ).
tff(func_def_82,type,
g_s75_71: set_2 ).
tff(func_def_83,type,
g_s76_72: set_2 ).
tff(func_def_84,type,
g_s77_73: set_0 ).
tff(func_def_85,type,
g_s78_74: set_2 ).
tff(func_def_86,type,
g_s79_75: set_0 ).
tff(func_def_87,type,
g_s80_76: set_0 ).
tff(func_def_88,type,
g_s81_77: set_2 ).
tff(func_def_89,type,
g_s82_78: set_0 ).
tff(func_def_90,type,
g_s83_79: set_0 ).
tff(func_def_91,type,
g_s84_80: set_2 ).
tff(func_def_92,type,
g_s85_81: set_0 ).
tff(func_def_93,type,
g_s86_82: set_2 ).
tff(func_def_94,type,
g_s87_83: set_0 ).
tff(func_def_95,type,
g_s88_84: set_0 ).
tff(func_def_96,type,
g_s89_85: set_2 ).
tff(func_def_97,type,
g_s90_86: set_0 ).
tff(func_def_98,type,
g_s91_87: set_0 ).
tff(func_def_99,type,
g_s92_88: $int ).
tff(func_def_100,type,
g_s93_89: $int ).
tff(func_def_101,type,
g_s95_90: set_0 ).
tff(func_def_102,type,
g_s94_91: $int ).
tff(func_def_103,type,
g_s96_92: $int ).
tff(func_def_104,type,
g_s97_93: set_0 ).
tff(func_def_105,type,
g_s98_94: set_0 ).
tff(func_def_106,type,
g_s99_95: set_2 ).
tff(func_def_107,type,
g_s100_96: set_2 ).
tff(func_def_108,type,
g_s101_97: set_2 ).
tff(func_def_109,type,
set_5_empty: set_5 ).
tff(func_def_110,type,
set_5_insert: set_5 > set_5 ).
tff(func_def_111,type,
g_s102_98: set_5 ).
tff(func_def_112,type,
g_s103_99: set_0 ).
tff(func_def_113,type,
g_s104_100: set_0 ).
tff(func_def_114,type,
g_s105_101: set_2 ).
tff(func_def_115,type,
g_s106_102: set_2 ).
tff(func_def_116,type,
g_s107_103: set_0 ).
tff(func_def_117,type,
g_s108_104: set_0 ).
tff(func_def_118,type,
g_s109_105: $int ).
tff(func_def_119,type,
g_s110_106: $int ).
tff(func_def_120,type,
g_s111_107: set_2 ).
tff(func_def_121,type,
g_s112_108: set_2 ).
tff(func_def_122,type,
g_s113_109: set_2 ).
tff(func_def_123,type,
g_s114_110: set_2 ).
tff(func_def_124,type,
g_s115_111: $int ).
tff(func_def_125,type,
g_s116_112: $int ).
tff(func_def_126,type,
g_s117_113: set_0 ).
tff(func_def_127,type,
g_s119_114: set_0 ).
tff(func_def_128,type,
g_s118_115: $int ).
tff(func_def_129,type,
g_s121_116: set_0 ).
tff(func_def_130,type,
g_s122_117: set_0 ).
tff(func_def_131,type,
g_s123_118: set_0 ).
tff(func_def_132,type,
g_s124_119: set_0 ).
tff(func_def_133,type,
g_s125_120: set_0 ).
tff(func_def_134,type,
g_s126_121: $int ).
tff(func_def_135,type,
g_s127_122: $int ).
tff(func_def_136,type,
g_s131_123: set_2 ).
tff(func_def_137,type,
g_s132_124: set_2 ).
tff(func_def_138,type,
g_s133_125: set_5 ).
tff(func_def_139,type,
g_s134_126: set_5 ).
tff(func_def_140,type,
g_s135_127: set_5 ).
tff(func_def_141,type,
g_s136_128: set_5 ).
tff(func_def_142,type,
g_s137_129: set_2 ).
tff(func_def_143,type,
g_s138_130: set_2 ).
tff(func_def_144,type,
g_s139_131: set_0 ).
tff(func_def_145,type,
g_s140_132: set_0 ).
tff(func_def_146,type,
g_s141_133: set_0 ).
tff(func_def_147,type,
g_s142_134: set_2 ).
tff(func_def_148,type,
g_s143_135: set_2 ).
tff(func_def_149,type,
g_s144_136: set_2 ).
tff(func_def_150,type,
g_s145_137: set_0 ).
tff(func_def_151,type,
g_s146_138: set_0 ).
tff(func_def_152,type,
g_s147_139: set_2 ).
tff(func_def_153,type,
g_s148_140: $int ).
tff(func_def_154,type,
g_s149_141: set_2 ).
tff(func_def_155,type,
g_s147_1_142: set_2 ).
tff(func_def_156,type,
g_s148_1_143: $int ).
tff(func_def_157,type,
g_s149_1_144: set_2 ).
tff(func_def_158,type,
g_s157_148: $int ).
tff(func_def_163,type,
sK0: $int ).
tff(func_def_164,type,
sK1: set_2 ).
tff(func_def_165,type,
sK2: $int ).
tff(func_def_166,type,
sK3: set_2 ).
tff(func_def_167,type,
sK4: $int > $int ).
tff(func_def_168,type,
sK5: $int > $int ).
tff(func_def_169,type,
sK6: $int ).
tff(func_def_170,type,
sK7: set_2 ).
tff(func_def_171,type,
sK8: $int ).
tff(func_def_172,type,
sK9: set_2 ).
tff(func_def_173,type,
sK10: $int > $int ).
tff(func_def_174,type,
sK11: $int > $int ).
tff(func_def_175,type,
sK12: set_2 ).
tff(func_def_176,type,
sK13: $int > $int ).
tff(func_def_177,type,
sK14: set_2 ).
tff(func_def_178,type,
sK15: $int > $int ).
tff(func_def_179,type,
sK16: set_2 ).
tff(func_def_180,type,
sK17: $int > $int ).
tff(func_def_181,type,
sK18: set_2 ).
tff(func_def_182,type,
sK19: $int > $int ).
tff(func_def_183,type,
sK20: set_2 ).
tff(func_def_184,type,
sK21: $int > $int ).
tff(func_def_185,type,
sK22: set_2 ).
tff(func_def_186,type,
sK23: $int > $int ).
tff(func_def_187,type,
sK24: $int ).
tff(func_def_188,type,
sK25: set_2 ).
tff(func_def_189,type,
sK26: $int ).
tff(func_def_190,type,
sK27: set_2 ).
tff(func_def_191,type,
sK28: $int > $int ).
tff(func_def_192,type,
sK29: $int > $int ).
tff(func_def_193,type,
sK30: $int ).
tff(func_def_194,type,
sK31: set_2 ).
tff(func_def_195,type,
sK32: $int > $int ).
tff(func_def_196,type,
sK33: $int > $int ).
tff(func_def_197,type,
sK34: set_2 ).
tff(func_def_198,type,
sK35: set_2 ).
tff(func_def_199,type,
sK36: $int > $int ).
tff(func_def_200,type,
sK37: $int > $int ).
tff(func_def_201,type,
sK38: $int ).
tff(func_def_202,type,
sK39: set_2 ).
tff(func_def_203,type,
sK40: $int ).
tff(func_def_204,type,
sK41: set_2 ).
tff(func_def_205,type,
sK42: $int > $int ).
tff(func_def_206,type,
sK43: $int > $int ).
tff(func_def_207,type,
sK44: $int ).
tff(func_def_208,type,
sK45: set_2 ).
tff(func_def_209,type,
sK46: $int > $int ).
tff(func_def_210,type,
sK47: $int > $int ).
tff(func_def_211,type,
sK48: set_2 ).
tff(func_def_212,type,
sK49: set_2 ).
tff(func_def_213,type,
sK50: $int > $int ).
tff(func_def_214,type,
sK51: $int > $int ).
tff(func_def_215,type,
sK52: set_3 ).
tff(func_def_216,type,
sK53: ( $int * $int ) > $int ).
tff(func_def_217,type,
sK54: $int ).
tff(func_def_218,type,
sK55: set_2 ).
tff(func_def_219,type,
sK56: $int ).
tff(func_def_220,type,
sK57: set_2 ).
tff(func_def_221,type,
sK58: $int > $int ).
tff(func_def_222,type,
sK59: $int > $int ).
tff(func_def_223,type,
sK60: set_3 ).
tff(func_def_224,type,
sK61: ( $int * $int ) > $int ).
tff(func_def_225,type,
sK62: set_4 ).
tff(func_def_226,type,
sK63: ( $int * $int ) > set_0 ).
tff(func_def_227,type,
sK64: set_4 ).
tff(func_def_228,type,
sK65: ( $int * $int ) > set_0 ).
tff(func_def_229,type,
sK66: set_4 ).
tff(func_def_230,type,
sK67: ( $int * $int ) > set_0 ).
tff(func_def_231,type,
sK68: set_4 ).
tff(func_def_232,type,
sK69: ( $int * $int ) > set_0 ).
tff(func_def_233,type,
sK70: set_4 ).
tff(func_def_234,type,
sK71: ( $int * $int ) > set_0 ).
tff(func_def_235,type,
sK72: $int ).
tff(func_def_236,type,
sK73: set_2 ).
tff(func_def_237,type,
sK74: $int ).
tff(func_def_238,type,
sK75: set_2 ).
tff(func_def_239,type,
sK76: $int > $int ).
tff(func_def_240,type,
sK77: $int > $int ).
tff(func_def_241,type,
sK78: set_3 ).
tff(func_def_242,type,
sK79: ( $int * $int ) > $int ).
tff(func_def_243,type,
sK80: set_3 ).
tff(func_def_244,type,
sK81: ( $int * $int ) > $int ).
tff(func_def_245,type,
sK82: $int ).
tff(func_def_246,type,
sK83: set_2 ).
tff(func_def_247,type,
sK84: $int ).
tff(func_def_248,type,
sK85: set_2 ).
tff(func_def_249,type,
sK86: $int > $int ).
tff(func_def_250,type,
sK87: $int > $int ).
tff(func_def_251,type,
sK88: ( $int * $int ) > $int ).
tff(func_def_252,type,
sK89: ( $int * $int ) > $int ).
tff(func_def_253,type,
sK90: $int ).
tff(func_def_254,type,
sK91: set_2 ).
tff(func_def_255,type,
sK92: $int > $int ).
tff(func_def_256,type,
sK93: $int > $int ).
tff(func_def_257,type,
sK94: ( $int * $int ) > $int ).
tff(func_def_258,type,
sK95: $int ).
tff(func_def_259,type,
sK96: set_2 ).
tff(func_def_260,type,
sK97: $int > $int ).
tff(func_def_261,type,
sK98: $int > $int ).
tff(func_def_262,type,
sK99: $int ).
tff(func_def_263,type,
sK100: set_2 ).
tff(func_def_264,type,
sK101: $int > $int ).
tff(func_def_265,type,
sK102: $int > $int ).
tff(func_def_266,type,
sK103: ( $int * $int ) > $int ).
tff(func_def_267,type,
sK104: $int ).
tff(func_def_268,type,
sK105: set_2 ).
tff(func_def_269,type,
sK106: $int > $int ).
tff(func_def_270,type,
sK107: $int > $int ).
tff(func_def_271,type,
sK108: $int ).
tff(func_def_272,type,
sK109: set_2 ).
tff(func_def_273,type,
sK110: $int > $int ).
tff(func_def_274,type,
sK111: $int > $int ).
tff(func_def_275,type,
sK112: set_2 ).
tff(func_def_276,type,
sK113: $int > $int ).
tff(func_def_277,type,
sK114: set_2 ).
tff(func_def_278,type,
sK115: $int > $int ).
tff(func_def_279,type,
sK116: set_2 ).
tff(func_def_280,type,
sK117: $int > $int ).
tff(func_def_281,type,
sK118: set_2 ).
tff(func_def_282,type,
sK119: $int > $int ).
tff(func_def_283,type,
sK120: set_2 ).
tff(func_def_284,type,
sK121: $int > $int ).
tff(func_def_285,type,
sK122: set_2 ).
tff(func_def_286,type,
sK123: $int > $int ).
tff(func_def_287,type,
sK124: $int > $int ).
tff(func_def_288,type,
sK125: ( $int * $int ) > $int ).
tff(func_def_289,type,
sK126: ( $int * $int ) > $int ).
tff(func_def_290,type,
sK127: ( $int * $int ) > $int ).
tff(func_def_291,type,
sK128: ( $int * $int ) > $int ).
tff(func_def_292,type,
sK129: ( $int * $int ) > $int ).
tff(func_def_293,type,
sK130: ( $int * $int ) > $int ).
tff(func_def_294,type,
sK131: ( $int * $int * $int ) > set_2 ).
tff(func_def_295,type,
sK132: ( $int * $int * $int ) > set_2 ).
tff(func_def_296,type,
sK133: ( $int * $int * $int ) > set_2 ).
tff(func_def_297,type,
sK134: ( $int * $int * $int ) > set_2 ).
tff(func_def_298,type,
sK135: ( $int * $int * $int ) > set_2 ).
tff(func_def_299,type,
sK136: ( $int * $int * $int ) > set_2 ).
tff(func_def_300,type,
sK137: set_2 ).
tff(func_def_301,type,
sK138: $int > $int ).
tff(func_def_302,type,
sK139: set_5 ).
tff(func_def_303,type,
sK140: $int > set_2 ).
tff(func_def_304,type,
sK141: set_5 ).
tff(func_def_305,type,
sK142: $int > set_2 ).
tff(func_def_306,type,
sK143: set_5 ).
tff(func_def_307,type,
sK144: $int > set_2 ).
tff(func_def_308,type,
sK145: set_5 ).
tff(func_def_309,type,
sK146: $int > set_2 ).
tff(func_def_310,type,
sK147: set_5 ).
tff(func_def_311,type,
sK148: $int > set_2 ).
tff(func_def_312,type,
sK149: $int > $int ).
tff(func_def_313,type,
sK150: $int > $int ).
tff(func_def_314,type,
sK151: $int > $int ).
tff(func_def_315,type,
sK152: $int > $int ).
tff(func_def_316,type,
sK153: $int > $int ).
tff(func_def_317,type,
sK154: $int > $int ).
tff(func_def_318,type,
sK155: $int ).
tff(func_def_319,type,
sK156: $int ).
tff(func_def_320,type,
sK157: $int ).
tff(func_def_321,type,
sK158: $int ).
tff(func_def_322,type,
sK159: $int ).
tff(func_def_323,type,
sK160: $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,
sP161: ( $int * $int ) > $o ).
tff(pred_def_11,type,
sP162: ( $int * $int ) > $o ).
tff(f128,axiom,
( ! [X0: $int,X1: $int] :
( mem2(X1,X0,g_s149_1_144)
=> ( mem0(X1,g_s56_52)
& mem0(X0,g_s12_10) ) )
& ! [X2: $int,X3: $int,X4: $int] :
( ( mem2(X2,X3,g_s149_1_144)
& mem2(X2,X4,g_s149_1_144) )
=> ( X3 = X4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Define:inv:5') ).
tff(f159,axiom,
( ! [X0: $int,X1: $int] :
( mem2(X1,X0,g_s143_135)
=> ( mem0(X1,g_s56_52)
& mem0(X0,g_s12_10) ) )
& ! [X2: $int,X3: $int,X4: $int] :
( ( mem2(X2,X3,g_s143_135)
& mem2(X2,X4,g_s143_135) )
=> ( X3 = X4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Define:seext:36') ).
tff(f170,axiom,
mem0(g_s157_148,g_s56_52),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gh_1_def) ).
tff(f175,axiom,
( mem0(g_s157_148,g_s146_138)
& ? [X0: $int] : mem2(g_s157_148,X0,g_s143_135) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Local_Hyp:0') ).
tff(f177,conjecture,
( ! [X0: $int,X1: $int] :
( ( ( ( X1 = g_s157_148 )
& mem2(g_s157_148,X0,g_s143_135) )
| ( mem2(X1,X0,g_s149_1_144)
& ~ ? [X2: $int] :
( ( X1 = g_s157_148 )
& mem2(g_s157_148,X2,g_s143_135) ) ) )
=> ( mem0(X1,g_s56_52)
& mem0(X0,g_s12_10) ) )
& ! [X3: $int,X4: $int,X5: $int] :
( ( ( ( ( X3 = g_s157_148 )
& mem2(g_s157_148,X4,g_s143_135) )
| ( mem2(X3,X4,g_s149_1_144)
& ~ ? [X6: $int] :
( ( X3 = g_s157_148 )
& mem2(g_s157_148,X6,g_s143_135) ) ) )
& ( ( ( X3 = g_s157_148 )
& mem2(g_s157_148,X5,g_s143_135) )
| ( mem2(X3,X5,g_s149_1_144)
& ~ ? [X7: $int] :
( ( X3 = g_s157_148 )
& mem2(g_s157_148,X7,g_s143_135) ) ) ) )
=> ( X4 = X5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Goal') ).
tff(f178,negated_conjecture,
~ ( ! [X0: $int,X1: $int] :
( ( ( ( X1 = g_s157_148 )
& mem2(g_s157_148,X0,g_s143_135) )
| ( mem2(X1,X0,g_s149_1_144)
& ~ ? [X2: $int] :
( ( X1 = g_s157_148 )
& mem2(g_s157_148,X2,g_s143_135) ) ) )
=> ( mem0(X1,g_s56_52)
& mem0(X0,g_s12_10) ) )
& ! [X3: $int,X4: $int,X5: $int] :
( ( ( ( ( X3 = g_s157_148 )
& mem2(g_s157_148,X4,g_s143_135) )
| ( mem2(X3,X4,g_s149_1_144)
& ~ ? [X6: $int] :
( ( X3 = g_s157_148 )
& mem2(g_s157_148,X6,g_s143_135) ) ) )
& ( ( ( X3 = g_s157_148 )
& mem2(g_s157_148,X5,g_s143_135) )
| ( mem2(X3,X5,g_s149_1_144)
& ~ ? [X7: $int] :
( ( X3 = g_s157_148 )
& mem2(g_s157_148,X7,g_s143_135) ) ) ) )
=> ( X4 = X5 ) ) ),
inference(negated_conjecture,[status(cth)],[f177]) ).
tff(f357,plain,
( ! [X0: $int,X1: $int] :
( ( mem0(X1,g_s56_52)
& mem0(X0,g_s12_10) )
| ~ mem2(X1,X0,g_s149_1_144) )
& ! [X2: $int,X3: $int,X4: $int] :
( ( X3 = X4 )
| ~ mem2(X2,X3,g_s149_1_144)
| ~ mem2(X2,X4,g_s149_1_144) ) ),
inference(ennf_transformation,[],[f128]) ).
tff(f358,plain,
( ! [X0: $int,X1: $int] :
( ( mem0(X1,g_s56_52)
& mem0(X0,g_s12_10) )
| ~ mem2(X1,X0,g_s149_1_144) )
& ! [X2: $int,X3: $int,X4: $int] :
( ( X3 = X4 )
| ~ mem2(X2,X3,g_s149_1_144)
| ~ mem2(X2,X4,g_s149_1_144) ) ),
inference(flattening,[],[f357]) ).
tff(f398,plain,
( ! [X0: $int,X1: $int] :
( ( mem0(X1,g_s56_52)
& mem0(X0,g_s12_10) )
| ~ mem2(X1,X0,g_s143_135) )
& ! [X2: $int,X3: $int,X4: $int] :
( ( X3 = X4 )
| ~ mem2(X2,X3,g_s143_135)
| ~ mem2(X2,X4,g_s143_135) ) ),
inference(ennf_transformation,[],[f159]) ).
tff(f399,plain,
( ! [X0: $int,X1: $int] :
( ( mem0(X1,g_s56_52)
& mem0(X0,g_s12_10) )
| ~ mem2(X1,X0,g_s143_135) )
& ! [X2: $int,X3: $int,X4: $int] :
( ( X3 = X4 )
| ~ mem2(X2,X3,g_s143_135)
| ~ mem2(X2,X4,g_s143_135) ) ),
inference(flattening,[],[f398]) ).
tff(f412,plain,
( ? [X0: $int,X1: $int] :
( ( ~ mem0(X1,g_s56_52)
| ~ mem0(X0,g_s12_10) )
& ( ( ( X1 = g_s157_148 )
& mem2(g_s157_148,X0,g_s143_135) )
| ( mem2(X1,X0,g_s149_1_144)
& ! [X2: $int] :
( ( g_s157_148 != X1 )
| ~ mem2(g_s157_148,X2,g_s143_135) ) ) ) )
| ? [X3: $int,X4: $int,X5: $int] :
( ( X4 != X5 )
& ( ( ( X3 = g_s157_148 )
& mem2(g_s157_148,X4,g_s143_135) )
| ( mem2(X3,X4,g_s149_1_144)
& ! [X6: $int] :
( ( g_s157_148 != X3 )
| ~ mem2(g_s157_148,X6,g_s143_135) ) ) )
& ( ( ( X3 = g_s157_148 )
& mem2(g_s157_148,X5,g_s143_135) )
| ( mem2(X3,X5,g_s149_1_144)
& ! [X7: $int] :
( ( g_s157_148 != X3 )
| ~ mem2(g_s157_148,X7,g_s143_135) ) ) ) ) ),
inference(ennf_transformation,[],[f178]) ).
tff(f413,plain,
( ? [X0: $int,X1: $int] :
( ( ~ mem0(X1,g_s56_52)
| ~ mem0(X0,g_s12_10) )
& ( ( ( X1 = g_s157_148 )
& mem2(g_s157_148,X0,g_s143_135) )
| ( mem2(X1,X0,g_s149_1_144)
& ! [X2: $int] :
( ( g_s157_148 != X1 )
| ~ mem2(g_s157_148,X2,g_s143_135) ) ) ) )
| ? [X3: $int,X4: $int,X5: $int] :
( ( X4 != X5 )
& ( ( ( X3 = g_s157_148 )
& mem2(g_s157_148,X4,g_s143_135) )
| ( mem2(X3,X4,g_s149_1_144)
& ! [X6: $int] :
( ( g_s157_148 != X3 )
| ~ mem2(g_s157_148,X6,g_s143_135) ) ) )
& ( ( ( X3 = g_s157_148 )
& mem2(g_s157_148,X5,g_s143_135) )
| ( mem2(X3,X5,g_s149_1_144)
& ! [X7: $int] :
( ( g_s157_148 != X3 )
| ~ mem2(g_s157_148,X7,g_s143_135) ) ) ) ) ),
inference(flattening,[],[f412]) ).
tff(f880,plain,
! [X0: $int,X1: $int] :
( ~ mem2(X1,X0,g_s149_1_144)
| mem0(X0,g_s12_10) ),
inference(cnf_transformation,[],[f358]) ).
tff(f881,plain,
! [X0: $int,X1: $int] :
( ~ mem2(X1,X0,g_s149_1_144)
| mem0(X1,g_s56_52) ),
inference(cnf_transformation,[],[f358]) ).
tff(f882,plain,
! [X2: $int,X3: $int,X4: $int] :
( ~ mem2(X2,X3,g_s149_1_144)
| ~ mem2(X2,X4,g_s149_1_144)
| ( X3 = X4 ) ),
inference(cnf_transformation,[],[f358]) ).
tff(f992,plain,
! [X0: $int,X1: $int] :
( ~ mem2(X1,X0,g_s143_135)
| mem0(X0,g_s12_10) ),
inference(cnf_transformation,[],[f399]) ).
tff(f994,plain,
! [X2: $int,X3: $int,X4: $int] :
( ~ mem2(X2,X3,g_s143_135)
| ~ mem2(X2,X4,g_s143_135)
| ( X3 = X4 ) ),
inference(cnf_transformation,[],[f399]) ).
tff(f1016,plain,
mem0(g_s157_148,g_s56_52),
inference(cnf_transformation,[],[f170]) ).
tff(f1021,plain,
mem2(g_s157_148,sK155,g_s143_135),
inference(cnf_transformation,[],[f175]) ).
tff(f1025,plain,
! [X6: $int] :
( ~ mem2(g_s157_148,X6,g_s143_135)
| ( g_s157_148 != sK156 )
| mem2(g_s157_148,sK157,g_s143_135)
| sP161(sK160,sK159)
| sP162(sK160,sK159) ),
inference(cnf_transformation,[],[f413]) ).
tff(f1026,plain,
! [X6: $int] :
( ~ mem2(g_s157_148,X6,g_s143_135)
| ( g_s157_148 != sK156 )
| mem2(g_s157_148,sK157,g_s143_135)
| ~ mem0(sK159,g_s12_10)
| ~ mem0(sK160,g_s56_52) ),
inference(cnf_transformation,[],[f413]) ).
tff(f1027,plain,
! [X7: $int] :
( ~ mem2(g_s157_148,X7,g_s143_135)
| ( g_s157_148 != sK156 )
| mem2(g_s157_148,sK158,g_s143_135)
| sP161(sK160,sK159)
| sP162(sK160,sK159) ),
inference(cnf_transformation,[],[f413]) ).
tff(f1028,plain,
! [X7: $int] :
( ~ mem2(g_s157_148,X7,g_s143_135)
| ( g_s157_148 != sK156 )
| mem2(g_s157_148,sK158,g_s143_135)
| ~ mem0(sK159,g_s12_10)
| ~ mem0(sK160,g_s56_52) ),
inference(cnf_transformation,[],[f413]) ).
tff(f1029,plain,
! [X0: $int,X1: $int] :
( ~ sP162(X1,X0)
| mem2(g_s157_148,X0,g_s143_135) ),
inference(cnf_transformation,[],[f413]) ).
tff(f1030,plain,
! [X0: $int,X1: $int] :
( ~ sP162(X1,X0)
| ( g_s157_148 = X1 ) ),
inference(cnf_transformation,[],[f413]) ).
tff(f1031,plain,
! [X0: $int,X1: $int] :
( mem2(X1,X0,g_s149_1_144)
| ~ sP161(X1,X0) ),
inference(cnf_transformation,[],[f413]) ).
tff(f1032,plain,
( mem2(sK156,sK157,g_s149_1_144)
| mem2(g_s157_148,sK157,g_s143_135)
| ~ mem0(sK159,g_s12_10)
| ~ mem0(sK160,g_s56_52) ),
inference(cnf_transformation,[],[f413]) ).
tff(f1033,plain,
( mem2(sK156,sK157,g_s149_1_144)
| ( g_s157_148 = sK156 )
| ~ mem0(sK159,g_s12_10)
| ~ mem0(sK160,g_s56_52) ),
inference(cnf_transformation,[],[f413]) ).
tff(f1034,plain,
( mem2(sK156,sK157,g_s149_1_144)
| mem2(g_s157_148,sK157,g_s143_135)
| sP161(sK160,sK159)
| sP162(sK160,sK159) ),
inference(cnf_transformation,[],[f413]) ).
tff(f1035,plain,
( mem2(sK156,sK157,g_s149_1_144)
| ( g_s157_148 = sK156 )
| sP161(sK160,sK159)
| sP162(sK160,sK159) ),
inference(cnf_transformation,[],[f413]) ).
tff(f1036,plain,
( mem2(sK156,sK158,g_s149_1_144)
| mem2(g_s157_148,sK158,g_s143_135)
| ~ mem0(sK159,g_s12_10)
| ~ mem0(sK160,g_s56_52) ),
inference(cnf_transformation,[],[f413]) ).
tff(f1037,plain,
( mem2(sK156,sK158,g_s149_1_144)
| ( g_s157_148 = sK156 )
| ~ mem0(sK159,g_s12_10)
| ~ mem0(sK160,g_s56_52) ),
inference(cnf_transformation,[],[f413]) ).
tff(f1038,plain,
( mem2(sK156,sK158,g_s149_1_144)
| mem2(g_s157_148,sK158,g_s143_135)
| sP161(sK160,sK159)
| sP162(sK160,sK159) ),
inference(cnf_transformation,[],[f413]) ).
tff(f1039,plain,
( mem2(sK156,sK158,g_s149_1_144)
| ( g_s157_148 = sK156 )
| sP161(sK160,sK159)
| sP162(sK160,sK159) ),
inference(cnf_transformation,[],[f413]) ).
tff(f1040,plain,
( ( sK157 != sK158 )
| ~ mem0(sK159,g_s12_10)
| ~ mem0(sK160,g_s56_52) ),
inference(cnf_transformation,[],[f413]) ).
tff(f1041,plain,
( ( sK157 != sK158 )
| sP161(sK160,sK159)
| sP162(sK160,sK159) ),
inference(cnf_transformation,[],[f413]) ).
tff(f1333,plain,
! [X0: $int,X1: $int] :
( ~ mem0(X1,g_s56_52)
| ~ mem2(X1,X0,g_s149_1_144) ),
inference(consistent_polarity_flipping,[],[f881]) ).
tff(f1334,plain,
! [X0: $int,X1: $int] :
( ~ mem2(X1,X0,g_s149_1_144)
| ~ mem0(X0,g_s12_10) ),
inference(consistent_polarity_flipping,[],[f880]) ).
tff(f1402,plain,
! [X0: $int,X1: $int] :
( ~ mem0(X0,g_s12_10)
| ~ mem2(X1,X0,g_s143_135) ),
inference(consistent_polarity_flipping,[],[f992]) ).
tff(f1415,plain,
~ mem0(g_s157_148,g_s56_52),
inference(consistent_polarity_flipping,[],[f1016]) ).
tff(f1419,plain,
( ( sK157 != sK158 )
| mem0(sK159,g_s12_10)
| mem0(sK160,g_s56_52) ),
inference(consistent_polarity_flipping,[],[f1040]) ).
tff(f1420,plain,
( mem2(sK156,sK158,g_s149_1_144)
| ( g_s157_148 = sK156 )
| mem0(sK159,g_s12_10)
| mem0(sK160,g_s56_52) ),
inference(consistent_polarity_flipping,[],[f1037]) ).
tff(f1421,plain,
( mem2(sK156,sK158,g_s149_1_144)
| mem2(g_s157_148,sK158,g_s143_135)
| mem0(sK159,g_s12_10)
| mem0(sK160,g_s56_52) ),
inference(consistent_polarity_flipping,[],[f1036]) ).
tff(f1422,plain,
( mem2(sK156,sK157,g_s149_1_144)
| ( g_s157_148 = sK156 )
| mem0(sK159,g_s12_10)
| mem0(sK160,g_s56_52) ),
inference(consistent_polarity_flipping,[],[f1033]) ).
tff(f1423,plain,
( mem2(sK156,sK157,g_s149_1_144)
| mem2(g_s157_148,sK157,g_s143_135)
| mem0(sK159,g_s12_10)
| mem0(sK160,g_s56_52) ),
inference(consistent_polarity_flipping,[],[f1032]) ).
tff(f1424,plain,
! [X7: $int] :
( ~ mem2(g_s157_148,X7,g_s143_135)
| ( g_s157_148 != sK156 )
| mem2(g_s157_148,sK158,g_s143_135)
| mem0(sK159,g_s12_10)
| mem0(sK160,g_s56_52) ),
inference(consistent_polarity_flipping,[],[f1028]) ).
tff(f1425,plain,
! [X6: $int] :
( ~ mem2(g_s157_148,X6,g_s143_135)
| ( g_s157_148 != sK156 )
| mem2(g_s157_148,sK157,g_s143_135)
| mem0(sK159,g_s12_10)
| mem0(sK160,g_s56_52) ),
inference(consistent_polarity_flipping,[],[f1026]) ).
tff(f1431,definition,
( spl163_2
<=> ! [X2: $int] : ~ mem2(g_s157_148,X2,g_s143_135) ),
introduced(definition,[new_symbols(definition,[spl163_2])],[avatar_definition]) ).
tff(f1432,plain,
( ! [X2: $int] : ~ mem2(g_s157_148,X2,g_s143_135)
| ~ spl163_2 ),
inference(avatar_component_clause,[],[f1431]) ).
tff(f1435,definition,
( spl163_3
<=> sP162(sK160,sK159) ),
introduced(definition,[new_symbols(definition,[spl163_3])],[avatar_definition]) ).
tff(f1437,plain,
( sP162(sK160,sK159)
| ~ spl163_3 ),
inference(avatar_component_clause,[],[f1435]) ).
tff(f1439,definition,
( spl163_4
<=> sP161(sK160,sK159) ),
introduced(definition,[new_symbols(definition,[spl163_4])],[avatar_definition]) ).
tff(f1441,plain,
( sP161(sK160,sK159)
| ~ spl163_4 ),
inference(avatar_component_clause,[],[f1439]) ).
tff(f1443,definition,
( spl163_5
<=> mem2(g_s157_148,sK157,g_s143_135) ),
introduced(definition,[new_symbols(definition,[spl163_5])],[avatar_definition]) ).
tff(f1445,plain,
( mem2(g_s157_148,sK157,g_s143_135)
| ~ spl163_5 ),
inference(avatar_component_clause,[],[f1443]) ).
tff(f1447,definition,
( spl163_6
<=> ( g_s157_148 = sK156 ) ),
introduced(definition,[new_symbols(definition,[spl163_6])],[avatar_definition]) ).
tff(f1450,plain,
( spl163_3
| spl163_4
| spl163_5
| ~ spl163_6
| spl163_2 ),
inference(avatar_split_clause,[],[f1025,f1431,f1447,f1443,f1439,f1435]) ).
tff(f1452,definition,
( spl163_7
<=> mem0(sK160,g_s56_52) ),
introduced(definition,[new_symbols(definition,[spl163_7])],[avatar_definition]) ).
tff(f1454,plain,
( mem0(sK160,g_s56_52)
| ~ spl163_7 ),
inference(avatar_component_clause,[],[f1452]) ).
tff(f1456,definition,
( spl163_8
<=> mem0(sK159,g_s12_10) ),
introduced(definition,[new_symbols(definition,[spl163_8])],[avatar_definition]) ).
tff(f1458,plain,
( mem0(sK159,g_s12_10)
| ~ spl163_8 ),
inference(avatar_component_clause,[],[f1456]) ).
tff(f1459,plain,
( spl163_7
| spl163_8
| spl163_5
| ~ spl163_6
| spl163_2 ),
inference(avatar_split_clause,[],[f1425,f1431,f1447,f1443,f1456,f1452]) ).
tff(f1461,definition,
( spl163_9
<=> mem2(g_s157_148,sK158,g_s143_135) ),
introduced(definition,[new_symbols(definition,[spl163_9])],[avatar_definition]) ).
tff(f1463,plain,
( mem2(g_s157_148,sK158,g_s143_135)
| ~ spl163_9 ),
inference(avatar_component_clause,[],[f1461]) ).
tff(f1464,plain,
( spl163_3
| spl163_4
| spl163_9
| ~ spl163_6
| spl163_2 ),
inference(avatar_split_clause,[],[f1027,f1431,f1447,f1461,f1439,f1435]) ).
tff(f1465,plain,
( spl163_7
| spl163_8
| spl163_9
| ~ spl163_6
| spl163_2 ),
inference(avatar_split_clause,[],[f1424,f1431,f1447,f1461,f1456,f1452]) ).
tff(f1467,definition,
( spl163_10
<=> mem2(sK156,sK157,g_s149_1_144) ),
introduced(definition,[new_symbols(definition,[spl163_10])],[avatar_definition]) ).
tff(f1469,plain,
( mem2(sK156,sK157,g_s149_1_144)
| ~ spl163_10 ),
inference(avatar_component_clause,[],[f1467]) ).
tff(f1470,plain,
( spl163_7
| spl163_8
| spl163_5
| spl163_10 ),
inference(avatar_split_clause,[],[f1423,f1467,f1443,f1456,f1452]) ).
tff(f1471,plain,
( spl163_7
| spl163_8
| spl163_6
| spl163_10 ),
inference(avatar_split_clause,[],[f1422,f1467,f1447,f1456,f1452]) ).
tff(f1472,plain,
( spl163_3
| spl163_4
| spl163_5
| spl163_10 ),
inference(avatar_split_clause,[],[f1034,f1467,f1443,f1439,f1435]) ).
tff(f1473,plain,
( spl163_3
| spl163_4
| spl163_6
| spl163_10 ),
inference(avatar_split_clause,[],[f1035,f1467,f1447,f1439,f1435]) ).
tff(f1475,definition,
( spl163_11
<=> mem2(sK156,sK158,g_s149_1_144) ),
introduced(definition,[new_symbols(definition,[spl163_11])],[avatar_definition]) ).
tff(f1477,plain,
( mem2(sK156,sK158,g_s149_1_144)
| ~ spl163_11 ),
inference(avatar_component_clause,[],[f1475]) ).
tff(f1478,plain,
( spl163_7
| spl163_8
| spl163_9
| spl163_11 ),
inference(avatar_split_clause,[],[f1421,f1475,f1461,f1456,f1452]) ).
tff(f1479,plain,
( spl163_7
| spl163_8
| spl163_6
| spl163_11 ),
inference(avatar_split_clause,[],[f1420,f1475,f1447,f1456,f1452]) ).
tff(f1480,plain,
( spl163_3
| spl163_4
| spl163_9
| spl163_11 ),
inference(avatar_split_clause,[],[f1038,f1475,f1461,f1439,f1435]) ).
tff(f1481,plain,
( spl163_3
| spl163_4
| spl163_6
| spl163_11 ),
inference(avatar_split_clause,[],[f1039,f1475,f1447,f1439,f1435]) ).
tff(f1483,definition,
( spl163_12
<=> ( sK157 = sK158 ) ),
introduced(definition,[new_symbols(definition,[spl163_12])],[avatar_definition]) ).
tff(f1485,plain,
( ( sK157 != sK158 )
| spl163_12 ),
inference(avatar_component_clause,[],[f1483]) ).
tff(f1486,plain,
( spl163_7
| spl163_8
| ~ spl163_12 ),
inference(avatar_split_clause,[],[f1419,f1483,f1456,f1452]) ).
tff(f1487,plain,
( spl163_3
| spl163_4
| ~ spl163_12 ),
inference(avatar_split_clause,[],[f1041,f1483,f1439,f1435]) ).
tff(f1537,plain,
( ( g_s157_148 = sK160 )
| ~ spl163_3 ),
inference(resolution,[],[f1030,f1437]) ).
tff(f1538,plain,
( mem0(g_s157_148,g_s56_52)
| ~ spl163_3
| ~ spl163_7 ),
inference(superposition,[],[f1454,f1537]) ).
tff(f1543,plain,
( sP162(g_s157_148,sK159)
| ~ spl163_3 ),
inference(forward_demodulation,[],[f1437,f1537]) ).
tff(f1545,plain,
( mem2(g_s157_148,sK159,g_s143_135)
| ~ spl163_3 ),
inference(resolution,[],[f1029,f1543]) ).
tff(f1546,plain,
( $false
| ~ spl163_3
| ~ spl163_7 ),
inference(forward_subsumption_resolution,[],[f1415,f1538]) ).
tff(f1547,plain,
( ~ spl163_3
| ~ spl163_7 ),
inference(avatar_contradiction_clause,[],[f1546]) ).
tff(f1574,plain,
! [X0: $int,X1: $int] :
( ~ sP161(X1,X0)
| ~ mem0(X0,g_s12_10) ),
inference(resolution,[],[f1334,f1031]) ).
tff(f1578,plain,
( ! [X0: $int] : ~ mem2(X0,sK159,g_s143_135)
| ~ spl163_8 ),
inference(resolution,[],[f1402,f1458]) ).
tff(f1579,plain,
( $false
| ~ spl163_3
| ~ spl163_8 ),
inference(backward_subsumption_resolution,[],[f1545,f1578]) ).
tff(f1580,plain,
( ~ spl163_3
| ~ spl163_8 ),
inference(avatar_contradiction_clause,[],[f1579]) ).
tff(f2813,plain,
( ! [X0: $int] :
( ~ mem2(g_s157_148,X0,g_s143_135)
| ( sK157 = X0 ) )
| ~ spl163_5 ),
inference(resolution,[],[f994,f1445]) ).
tff(f2817,plain,
( ( sK157 = sK158 )
| ~ spl163_5
| ~ spl163_9 ),
inference(resolution,[],[f2813,f1463]) ).
tff(f2818,plain,
( $false
| ~ spl163_5
| ~ spl163_9
| spl163_12 ),
inference(forward_subsumption_resolution,[],[f2817,f1485]) ).
tff(f2819,plain,
( ~ spl163_5
| ~ spl163_9
| spl163_12 ),
inference(avatar_contradiction_clause,[],[f2818]) ).
tff(f2826,plain,
( ! [X0: $int] :
( ~ mem2(sK156,X0,g_s149_1_144)
| ( sK158 = X0 ) )
| ~ spl163_11 ),
inference(resolution,[],[f1477,f882]) ).
tff(f3412,plain,
( ( sK157 = sK158 )
| ~ spl163_10
| ~ spl163_11 ),
inference(resolution,[],[f2826,f1469]) ).
tff(f3415,plain,
( $false
| ~ spl163_10
| ~ spl163_11
| spl163_12 ),
inference(forward_subsumption_resolution,[],[f3412,f1485]) ).
tff(f3416,plain,
( ~ spl163_10
| ~ spl163_11
| spl163_12 ),
inference(avatar_contradiction_clause,[],[f3415]) ).
tff(f3425,plain,
( ! [X0: $int] : ~ mem2(sK160,X0,g_s149_1_144)
| ~ spl163_7 ),
inference(resolution,[],[f1454,f1333]) ).
tff(f3434,plain,
( $false
| ~ spl163_2 ),
inference(backward_subsumption_resolution,[],[f1021,f1432]) ).
tff(f3435,plain,
~ spl163_2,
inference(avatar_contradiction_clause,[],[f3434]) ).
tff(f3439,plain,
( ! [X0: $int] : ~ sP161(sK160,X0)
| ~ spl163_7 ),
inference(resolution,[],[f3425,f1031]) ).
tff(f3460,plain,
( $false
| ~ spl163_4
| ~ spl163_7 ),
inference(forward_subsumption_resolution,[],[f1441,f3439]) ).
tff(f3461,plain,
( ~ spl163_4
| ~ spl163_7 ),
inference(avatar_contradiction_clause,[],[f3460]) ).
tff(f3464,plain,
( ~ mem0(sK159,g_s12_10)
| ~ spl163_4 ),
inference(resolution,[],[f1441,f1574]) ).
tff(f3465,plain,
( ~ spl163_8
| ~ spl163_4 ),
inference(avatar_split_clause,[],[f3464,f1439,f1456]) ).
cnf(s2,plain,
( spl163_2
| spl163_3
| spl163_4
| spl163_5
| ~ spl163_6 ),
inference(sat_conversion,[],[f1450]) ).
cnf(s3,plain,
( spl163_2
| spl163_5
| ~ spl163_6
| spl163_7
| spl163_8 ),
inference(sat_conversion,[],[f1459]) ).
cnf(s4,plain,
( spl163_2
| spl163_3
| spl163_4
| ~ spl163_6
| spl163_9 ),
inference(sat_conversion,[],[f1464]) ).
cnf(s5,plain,
( spl163_2
| ~ spl163_6
| spl163_7
| spl163_8
| spl163_9 ),
inference(sat_conversion,[],[f1465]) ).
cnf(s6,plain,
( spl163_5
| spl163_7
| spl163_8
| spl163_10 ),
inference(sat_conversion,[],[f1470]) ).
cnf(s7,plain,
( spl163_6
| spl163_7
| spl163_8
| spl163_10 ),
inference(sat_conversion,[],[f1471]) ).
cnf(s8,plain,
( spl163_3
| spl163_4
| spl163_5
| spl163_10 ),
inference(sat_conversion,[],[f1472]) ).
cnf(s9,plain,
( spl163_3
| spl163_4
| spl163_6
| spl163_10 ),
inference(sat_conversion,[],[f1473]) ).
cnf(s10,plain,
( spl163_7
| spl163_8
| spl163_9
| spl163_11 ),
inference(sat_conversion,[],[f1478]) ).
cnf(s11,plain,
( spl163_6
| spl163_7
| spl163_8
| spl163_11 ),
inference(sat_conversion,[],[f1479]) ).
cnf(s12,plain,
( spl163_3
| spl163_4
| spl163_9
| spl163_11 ),
inference(sat_conversion,[],[f1480]) ).
cnf(s13,plain,
( spl163_3
| spl163_4
| spl163_6
| spl163_11 ),
inference(sat_conversion,[],[f1481]) ).
cnf(s14,plain,
( spl163_7
| spl163_8
| ~ spl163_12 ),
inference(sat_conversion,[],[f1486]) ).
cnf(s15,plain,
( spl163_3
| spl163_4
| ~ spl163_12 ),
inference(sat_conversion,[],[f1487]) ).
cnf(s27,plain,
( ~ spl163_3
| ~ spl163_7 ),
inference(sat_conversion,[],[f1547]) ).
cnf(s28,plain,
( ~ spl163_3
| ~ spl163_8 ),
inference(sat_conversion,[],[f1580]) ).
cnf(s62,plain,
( ~ spl163_5
| ~ spl163_9
| spl163_12 ),
inference(sat_conversion,[],[f2819]) ).
cnf(s85,plain,
( ~ spl163_10
| ~ spl163_11
| spl163_12 ),
inference(sat_conversion,[],[f3416]) ).
cnf(s87,plain,
~ spl163_2,
inference(sat_conversion,[],[f3435]) ).
cnf(s89,plain,
( ~ spl163_4
| ~ spl163_7 ),
inference(sat_conversion,[],[f3461]) ).
cnf(s91,plain,
( ~ spl163_4
| ~ spl163_8 ),
inference(sat_conversion,[],[f3465]) ).
cnf(s93,plain,
( ~ spl163_6
| spl163_7
| spl163_8
| spl163_9 ),
inference(rat,[],[s5,s87]) ).
cnf(s94,plain,
( spl163_3
| spl163_4
| ~ spl163_6
| spl163_9 ),
inference(rat,[],[s4,s87]) ).
cnf(s95,plain,
( spl163_5
| ~ spl163_6
| spl163_7
| spl163_8 ),
inference(rat,[],[s3,s87]) ).
cnf(s96,plain,
( spl163_3
| spl163_4
| spl163_5
| ~ spl163_6 ),
inference(rat,[],[s2,s87]) ).
cnf(s98,plain,
( spl163_5
| spl163_4
| spl163_3 ),
inference(rat,[],[s13,s85,s96,s8,s15]) ).
cnf(s99,plain,
( spl163_4
| spl163_3 ),
inference(rat,[],[s9,s85,s94,s12,s62,s98,s15]) ).
cnf(s100,plain,
( spl163_5
| ~ spl163_4 ),
inference(rat,[],[s11,s85,s95,s6,s14,s89,s91]) ).
cnf(s101,plain,
~ spl163_4,
inference(rat,[],[s7,s85,s93,s10,s62,s100,s14,s89,s91]) ).
cnf(s102,plain,
spl163_3,
inference(rat,[],[s99,s101]) ).
cnf(s103,plain,
~ spl163_8,
inference(rat,[],[s28,s102]) ).
cnf(s104,plain,
~ spl163_7,
inference(rat,[],[s27,s102]) ).
cnf(s106,plain,
~ spl163_12,
inference(rat,[],[s14,s103,s104]) ).
cnf(s107,plain,
spl163_5,
inference(rat,[],[s11,s85,s95,s6,s103,s104,s106]) ).
cnf(s108,plain,
~ spl163_9,
inference(rat,[],[s62,s106,s107]) ).
cnf(s109,plain,
spl163_11,
inference(rat,[],[s10,s104,s103,s108]) ).
cnf(s110,plain,
~ spl163_6,
inference(rat,[],[s93,s104,s103,s108]) ).
cnf(s111,plain,
~ spl163_10,
inference(rat,[],[s85,s106,s109]) ).
cnf(s112,plain,
$false,
inference(rat,[],[s7,s104,s103,s110,s111]) ).
tff(f3466,plain,
$false,
inference(avatar_sat_refutation,[],[s112]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC537_1 : TPTP v9.3.1. Bugfixed v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n017.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 09:37:20 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.32 % (3436359)Will run a generic schedule for satisfiability detection.
% 0.20/0.32 % (3436365)% WARNING: option uhcvi not known.
% 0.20/0.32 % (3436365)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1730139801:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.32 % (3436364)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=573517913_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.32 % (3436366)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3239781210:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.32 % (3436367)dis+10_1_sil=32000:sp=arity:random_seed=2293257238:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.32 % (3436368)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=992767900:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.32 % (3436370)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3815085167:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.32 % (3436369)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=779798313:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.32 % (3436364)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.32 % (3436364)Terminated due to inappropriate strategy.
% 0.20/0.32 % (3436364)------------------------------
% 0.20/0.32 % (3436364)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.32 % (3436364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.32 % (3436364)CaDiCaL version: 2.1.3
% 0.20/0.32 % (3436364)Termination reason: Inappropriate
% 0.20/0.32 % (3436364)Time elapsed: 0.017 s
% 0.20/0.32 % (3436364)Peak memory usage: 12 MB
% 0.20/0.32 % (3436364)Instructions burned: 33 (million)
% 0.20/0.32 % (3436364)------------------------------
% 0.20/0.32 % (3436364)------------------------------
% 0.20/0.32 % (3436378)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2818845763:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.20/0.32 % (3436365) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3436359-3436365"...
% 0.20/0.32 % (3436365)...printing done.
% 0.20/0.32 % (3436365)Refutation found. Thanks to Tanya!
% 0.20/0.32 % SZS status Theorem for theBenchmark
% 0.20/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.32 % (3436365)------------------------------
% 0.20/0.32 % (3436365)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.32 % (3436365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.32 % (3436365)CaDiCaL version: 2.1.3
% 0.20/0.32 % (3436365)Termination reason: Refutation
% 0.20/0.32 % (3436365)Time elapsed: 0.054 s
% 0.20/0.32 % (3436365)Peak memory usage: 15 MB
% 0.20/0.32 % (3436365)Instructions burned: 146 (million)
% 0.20/0.32 % (3436359)Success in time 0.095 s
% 0.20/0.32 % Vampire exiting
%------------------------------------------------------------------------------