%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC537_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 : n026.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 3.42s 1.39s
% Output : Refutation 4.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 24
% Syntax : Number of formulae : 134 ( 9 unt; 0 typ; 18 def)
% Number of atoms : 513 ( 92 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 585 ( 206 ~; 249 |; 98 &)
% ( 18 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number arithmetic : 130 ( 0 atm; 0 fun; 0 num; 130 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 : 25 ( 23 usr; 19 prp; 0-4 aty)
% Number of functors : 317 ( 317 usr; 231 con; 0-3 aty)
% Number of variables : 130 ( 104 !; 26 ?; 130 :)
% 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_162,type,
sK0: $int ).
tff(func_def_163,type,
sK1: set_2 ).
tff(func_def_164,type,
sK2: $int > $int ).
tff(func_def_165,type,
sK3: $int > $int ).
tff(func_def_166,type,
sK4: set_2 ).
tff(func_def_167,type,
sK5: set_2 ).
tff(func_def_168,type,
sK6: $int > $int ).
tff(func_def_169,type,
sK7: $int > $int ).
tff(func_def_170,type,
sK8: set_2 ).
tff(func_def_171,type,
sK9: $int > $int ).
tff(func_def_172,type,
sK10: set_2 ).
tff(func_def_173,type,
sK11: $int > $int ).
tff(func_def_174,type,
sK12: set_3 ).
tff(func_def_175,type,
sK13: ( $int * $int ) > $int ).
tff(func_def_176,type,
sK14: $int ).
tff(func_def_177,type,
sK15: set_2 ).
tff(func_def_178,type,
sK16: $int > $int ).
tff(func_def_179,type,
sK17: $int > $int ).
tff(func_def_180,type,
sK18: set_2 ).
tff(func_def_181,type,
sK19: $int > $int ).
tff(func_def_182,type,
sK20: $int > $int ).
tff(func_def_183,type,
sK21: ( $int * $int ) > $int ).
tff(func_def_184,type,
sK22: ( $int * $int * $int ) > set_2 ).
tff(func_def_185,type,
sK23: ( $int * $int ) > $int ).
tff(func_def_186,type,
sK24: ( $int * $int * $int ) > set_2 ).
tff(func_def_187,type,
sK25: ( $int * $int ) > $int ).
tff(func_def_188,type,
sK26: ( $int * $int * $int ) > set_2 ).
tff(func_def_189,type,
sK27: ( $int * $int ) > $int ).
tff(func_def_190,type,
sK28: ( $int * $int * $int ) > set_2 ).
tff(func_def_191,type,
sK29: ( $int * $int ) > $int ).
tff(func_def_192,type,
sK30: ( $int * $int * $int ) > set_2 ).
tff(func_def_193,type,
sK31: ( $int * $int ) > $int ).
tff(func_def_194,type,
sK32: ( $int * $int * $int ) > set_2 ).
tff(func_def_195,type,
sK33: set_2 ).
tff(func_def_196,type,
sK34: $int ).
tff(func_def_197,type,
sK35: $int > $int ).
tff(func_def_198,type,
sK36: set_2 ).
tff(func_def_199,type,
sK37: $int > $int ).
tff(func_def_200,type,
sK38: $int ).
tff(func_def_201,type,
sK39: set_5 ).
tff(func_def_202,type,
sK40: $int > set_2 ).
tff(func_def_203,type,
sK41: $int ).
tff(func_def_204,type,
sK42: $int ).
tff(func_def_205,type,
sK43: set_2 ).
tff(func_def_206,type,
sK44: $int > $int ).
tff(func_def_207,type,
sK45: set_2 ).
tff(func_def_208,type,
sK46: $int > $int ).
tff(func_def_209,type,
sK47: set_3 ).
tff(func_def_210,type,
sK48: ( $int * $int ) > $int ).
tff(func_def_211,type,
sK49: set_2 ).
tff(func_def_212,type,
sK50: $int > $int ).
tff(func_def_213,type,
sK51: set_2 ).
tff(func_def_214,type,
sK52: set_2 ).
tff(func_def_215,type,
sK53: $int > $int ).
tff(func_def_216,type,
sK54: $int > $int ).
tff(func_def_217,type,
sK55: set_2 ).
tff(func_def_218,type,
sK56: $int > $int ).
tff(func_def_219,type,
sK57: set_2 ).
tff(func_def_220,type,
sK58: $int ).
tff(func_def_221,type,
sK59: $int > $int ).
tff(func_def_222,type,
sK60: set_2 ).
tff(func_def_223,type,
sK61: $int > $int ).
tff(func_def_224,type,
sK62: $int ).
tff(func_def_225,type,
sK63: set_2 ).
tff(func_def_226,type,
sK64: $int > $int ).
tff(func_def_227,type,
sK65: set_5 ).
tff(func_def_228,type,
sK66: $int > set_2 ).
tff(func_def_229,type,
sK67: set_5 ).
tff(func_def_230,type,
sK68: $int > set_2 ).
tff(func_def_231,type,
sK69: set_2 ).
tff(func_def_232,type,
sK70: $int > $int ).
tff(func_def_233,type,
sK71: set_2 ).
tff(func_def_234,type,
sK72: $int > $int ).
tff(func_def_235,type,
sK73: $int ).
tff(func_def_236,type,
sK74: $int > $int ).
tff(func_def_237,type,
sK75: set_2 ).
tff(func_def_238,type,
sK76: $int > $int ).
tff(func_def_239,type,
sK77: ( $int * $int ) > $int ).
tff(func_def_240,type,
sK78: set_2 ).
tff(func_def_241,type,
sK79: $int > $int ).
tff(func_def_242,type,
sK80: set_4 ).
tff(func_def_243,type,
sK81: ( $int * $int ) > set_0 ).
tff(func_def_244,type,
sK82: ( $int * $int ) > $int ).
tff(func_def_245,type,
sK83: $int ).
tff(func_def_246,type,
sK84: $int ).
tff(func_def_247,type,
sK85: set_2 ).
tff(func_def_248,type,
sK86: $int > $int ).
tff(func_def_249,type,
sK87: set_2 ).
tff(func_def_250,type,
sK88: $int > $int ).
tff(func_def_251,type,
sK89: $int ).
tff(func_def_252,type,
sK90: $int ).
tff(func_def_253,type,
sK91: $int > $int ).
tff(func_def_254,type,
sK92: set_2 ).
tff(func_def_255,type,
sK93: $int > $int ).
tff(func_def_256,type,
sK94: set_2 ).
tff(func_def_257,type,
sK95: $int > $int ).
tff(func_def_258,type,
sK96: set_4 ).
tff(func_def_259,type,
sK97: ( $int * $int ) > set_0 ).
tff(func_def_260,type,
sK98: $int ).
tff(func_def_261,type,
sK99: set_2 ).
tff(func_def_262,type,
sK100: $int > $int ).
tff(func_def_263,type,
sK101: $int > $int ).
tff(func_def_264,type,
sK102: set_3 ).
tff(func_def_265,type,
sK103: ( $int * $int ) > $int ).
tff(func_def_266,type,
sK104: $int ).
tff(func_def_267,type,
sK105: $int ).
tff(func_def_268,type,
sK106: set_2 ).
tff(func_def_269,type,
sK107: $int > $int ).
tff(func_def_270,type,
sK108: set_2 ).
tff(func_def_271,type,
sK109: $int > $int ).
tff(func_def_272,type,
sK110: $int > $int ).
tff(func_def_273,type,
sK111: $int > $int ).
tff(func_def_274,type,
sK112: $int > $int ).
tff(func_def_275,type,
sK113: $int > $int ).
tff(func_def_276,type,
sK114: $int > $int ).
tff(func_def_277,type,
sK115: $int > $int ).
tff(func_def_278,type,
sK116: ( $int * $int ) > $int ).
tff(func_def_279,type,
sK117: set_5 ).
tff(func_def_280,type,
sK118: $int > set_2 ).
tff(func_def_281,type,
sK119: set_4 ).
tff(func_def_282,type,
sK120: ( $int * $int ) > set_0 ).
tff(func_def_283,type,
sK121: set_4 ).
tff(func_def_284,type,
sK122: ( $int * $int ) > set_0 ).
tff(func_def_285,type,
sK123: set_5 ).
tff(func_def_286,type,
sK124: $int > set_2 ).
tff(func_def_287,type,
sK125: set_2 ).
tff(func_def_288,type,
sK126: $int > $int ).
tff(func_def_289,type,
sK127: set_2 ).
tff(func_def_290,type,
sK128: $int > $int ).
tff(func_def_291,type,
sK129: set_3 ).
tff(func_def_292,type,
sK130: ( $int * $int ) > $int ).
tff(func_def_293,type,
sK131: $int ).
tff(func_def_294,type,
sK132: set_2 ).
tff(func_def_295,type,
sK133: $int ).
tff(func_def_296,type,
sK134: set_2 ).
tff(func_def_297,type,
sK135: $int > $int ).
tff(func_def_298,type,
sK136: $int > $int ).
tff(func_def_299,type,
sK137: $int ).
tff(func_def_300,type,
sK138: set_2 ).
tff(func_def_301,type,
sK139: $int > $int ).
tff(func_def_302,type,
sK140: $int > $int ).
tff(func_def_303,type,
sK141: set_2 ).
tff(func_def_304,type,
sK142: $int > $int ).
tff(func_def_305,type,
sK143: set_2 ).
tff(func_def_306,type,
sK144: $int ).
tff(func_def_307,type,
sK145: set_2 ).
tff(func_def_308,type,
sK146: $int > $int ).
tff(func_def_309,type,
sK147: $int > $int ).
tff(func_def_310,type,
sK148: $int ).
tff(func_def_311,type,
sK149: set_4 ).
tff(func_def_312,type,
sK150: ( $int * $int ) > set_0 ).
tff(func_def_313,type,
sK151: $int ).
tff(func_def_314,type,
sK152: set_2 ).
tff(func_def_315,type,
sK153: $int > $int ).
tff(func_def_316,type,
sK154: $int > $int ).
tff(func_def_317,type,
sK155: ( $int * $int ) > $int ).
tff(func_def_318,type,
sK156: $int ).
tff(func_def_319,type,
sK157: $int ).
tff(func_def_320,type,
sK158: $int ).
tff(func_def_321,type,
sK159: $int ).
tff(func_def_322,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(f128,axiom,
( ! [X1: $int,X0: $int] :
( mem2(X1,X0,g_s149_1_144)
=> ( mem0(X0,g_s12_10)
& mem0(X1,g_s56_52) ) )
& ! [X4: $int,X3: $int,X2: $int] :
( ( mem2(X2,X4,g_s149_1_144)
& mem2(X2,X3,g_s149_1_144) )
=> ( X3 = X4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Define:inv:5') ).
tff(f159,axiom,
( ! [X1: $int,X0: $int] :
( mem2(X1,X0,g_s143_135)
=> ( mem0(X0,g_s12_10)
& mem0(X1,g_s56_52) ) )
& ! [X4: $int,X2: $int,X3: $int] :
( ( mem2(X2,X3,g_s143_135)
& mem2(X2,X4,g_s143_135) )
=> ( X3 = X4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Define:seext:36') ).
tff(f173,axiom,
mem0(g_s157_148,g_s56_52),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gh_4_def) ).
tff(f175,axiom,
( mem0(g_s157_148,g_s146_138)
& ? [X0: $int] : mem2(g_s157_148,X0,g_s143_135) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Local_Hyp:0') ).
tff(f176,axiom,
~ ? [X0: $int] : mem2(g_s157_148,X0,g_s149_1_144),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Local_Hyp:1') ).
tff(f177,conjecture,
( ! [X1: $int,X0: $int] :
( ( ( mem2(X1,X0,g_s149_1_144)
& ~ ? [X2: $int] :
( mem2(g_s157_148,X2,g_s143_135)
& ( X1 = g_s157_148 ) ) )
| ( ( X1 = g_s157_148 )
& mem2(g_s157_148,X0,g_s143_135) ) )
=> ( mem0(X1,g_s56_52)
& mem0(X0,g_s12_10) ) )
& ! [X3: $int,X4: $int,X5: $int] :
( ( ( ( mem2(g_s157_148,X5,g_s143_135)
& ( X3 = g_s157_148 ) )
| ( mem2(X3,X5,g_s149_1_144)
& ~ ? [X7: $int] :
( mem2(g_s157_148,X7,g_s143_135)
& ( X3 = g_s157_148 ) ) ) )
& ( ( mem2(g_s157_148,X4,g_s143_135)
& ( X3 = g_s157_148 ) )
| ( mem2(X3,X4,g_s149_1_144)
& ~ ? [X6: $int] :
( mem2(g_s157_148,X6,g_s143_135)
& ( X3 = g_s157_148 ) ) ) ) )
=> ( X4 = X5 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Goal') ).
tff(f178,negated_conjecture,
~ ( ! [X1: $int,X0: $int] :
( ( ( mem2(X1,X0,g_s149_1_144)
& ~ ? [X2: $int] :
( mem2(g_s157_148,X2,g_s143_135)
& ( X1 = g_s157_148 ) ) )
| ( ( X1 = g_s157_148 )
& mem2(g_s157_148,X0,g_s143_135) ) )
=> ( mem0(X1,g_s56_52)
& mem0(X0,g_s12_10) ) )
& ! [X3: $int,X4: $int,X5: $int] :
( ( ( ( mem2(g_s157_148,X5,g_s143_135)
& ( X3 = g_s157_148 ) )
| ( mem2(X3,X5,g_s149_1_144)
& ~ ? [X7: $int] :
( mem2(g_s157_148,X7,g_s143_135)
& ( X3 = g_s157_148 ) ) ) )
& ( ( mem2(g_s157_148,X4,g_s143_135)
& ( X3 = g_s157_148 ) )
| ( mem2(X3,X4,g_s149_1_144)
& ~ ? [X6: $int] :
( mem2(g_s157_148,X6,g_s143_135)
& ( X3 = g_s157_148 ) ) ) ) )
=> ( X4 = X5 ) ) ),
inference(negated_conjecture,[status(cth)],[f177]) ).
tff(f249,plain,
( ! [X1: $int,X0: $int] :
( mem2(X1,X0,g_s143_135)
=> ( mem0(X0,g_s12_10)
& mem0(X1,g_s56_52) ) )
& ! [X3: $int,X4: $int,X2: $int] :
( ( mem2(X3,X4,g_s143_135)
& mem2(X3,X2,g_s143_135) )
=> ( X2 = X4 ) ) ),
inference(rectify,[],[f159]) ).
tff(f255,plain,
~ ( ! [X0: $int,X1: $int] :
( ( ( ~ ? [X2: $int] :
( ( g_s157_148 = X0 )
& mem2(g_s157_148,X2,g_s143_135) )
& mem2(X0,X1,g_s149_1_144) )
| ( ( g_s157_148 = X0 )
& mem2(g_s157_148,X1,g_s143_135) ) )
=> ( mem0(X1,g_s12_10)
& mem0(X0,g_s56_52) ) )
& ! [X4: $int,X3: $int,X5: $int] :
( ( ( ( mem2(g_s157_148,X5,g_s143_135)
& ( X3 = g_s157_148 ) )
| ( ~ ? [X6: $int] :
( ( X3 = g_s157_148 )
& mem2(g_s157_148,X6,g_s143_135) )
& mem2(X3,X5,g_s149_1_144) ) )
& ( ( mem2(X3,X4,g_s149_1_144)
& ~ ? [X7: $int] :
( mem2(g_s157_148,X7,g_s143_135)
& ( X3 = g_s157_148 ) ) )
| ( mem2(g_s157_148,X4,g_s143_135)
& ( X3 = g_s157_148 ) ) ) )
=> ( X4 = X5 ) ) ),
inference(rectify,[],[f178]) ).
tff(f265,plain,
( ! [X4: $int,X2: $int,X3: $int] :
( ( mem2(X4,X2,g_s149_1_144)
& mem2(X4,X3,g_s149_1_144) )
=> ( X2 = X3 ) )
& ! [X0: $int,X1: $int] :
( mem2(X0,X1,g_s149_1_144)
=> ( mem0(X1,g_s12_10)
& mem0(X0,g_s56_52) ) ) ),
inference(rectify,[],[f128]) ).
tff(f331,plain,
! [X0: $int] : ~ mem2(g_s157_148,X0,g_s149_1_144),
inference(ennf_transformation,[],[f176]) ).
tff(f336,plain,
( ! [X4: $int,X2: $int,X3: $int] :
( ( X2 = X3 )
| ~ mem2(X4,X2,g_s149_1_144)
| ~ mem2(X4,X3,g_s149_1_144) )
& ! [X1: $int,X0: $int] :
( ( mem0(X1,g_s12_10)
& mem0(X0,g_s56_52) )
| ~ mem2(X0,X1,g_s149_1_144) ) ),
inference(ennf_transformation,[],[f265]) ).
tff(f337,plain,
( ! [X4: $int,X2: $int,X3: $int] :
( ( X2 = X3 )
| ~ mem2(X4,X3,g_s149_1_144)
| ~ mem2(X4,X2,g_s149_1_144) )
& ! [X1: $int,X0: $int] :
( ( mem0(X1,g_s12_10)
& mem0(X0,g_s56_52) )
| ~ mem2(X0,X1,g_s149_1_144) ) ),
inference(flattening,[],[f336]) ).
tff(f393,plain,
( ? [X1: $int,X0: $int] :
( ( ( ! [X2: $int] :
( ~ mem2(g_s157_148,X2,g_s143_135)
| ( g_s157_148 != X0 ) )
& mem2(X0,X1,g_s149_1_144) )
| ( ( g_s157_148 = X0 )
& mem2(g_s157_148,X1,g_s143_135) ) )
& ( ~ mem0(X1,g_s12_10)
| ~ mem0(X0,g_s56_52) ) )
| ? [X4: $int,X3: $int,X5: $int] :
( ( X4 != X5 )
& ( ( mem2(g_s157_148,X5,g_s143_135)
& ( X3 = g_s157_148 ) )
| ( ! [X6: $int] :
( ~ mem2(g_s157_148,X6,g_s143_135)
| ( g_s157_148 != X3 ) )
& mem2(X3,X5,g_s149_1_144) ) )
& ( ( mem2(g_s157_148,X4,g_s143_135)
& ( X3 = g_s157_148 ) )
| ( ! [X7: $int] :
( ( g_s157_148 != X3 )
| ~ mem2(g_s157_148,X7,g_s143_135) )
& mem2(X3,X4,g_s149_1_144) ) ) ) ),
inference(ennf_transformation,[],[f255]) ).
tff(f394,plain,
( ? [X1: $int,X0: $int] :
( ( ( ! [X2: $int] :
( ~ mem2(g_s157_148,X2,g_s143_135)
| ( g_s157_148 != X0 ) )
& mem2(X0,X1,g_s149_1_144) )
| ( ( g_s157_148 = X0 )
& mem2(g_s157_148,X1,g_s143_135) ) )
& ( ~ mem0(X1,g_s12_10)
| ~ mem0(X0,g_s56_52) ) )
| ? [X3: $int,X4: $int,X5: $int] :
( ( ( mem2(g_s157_148,X5,g_s143_135)
& ( X3 = g_s157_148 ) )
| ( ! [X6: $int] :
( ~ mem2(g_s157_148,X6,g_s143_135)
| ( g_s157_148 != X3 ) )
& mem2(X3,X5,g_s149_1_144) ) )
& ( ( mem2(g_s157_148,X4,g_s143_135)
& ( X3 = g_s157_148 ) )
| ( ! [X7: $int] :
( ( g_s157_148 != X3 )
| ~ mem2(g_s157_148,X7,g_s143_135) )
& mem2(X3,X4,g_s149_1_144) ) )
& ( X4 != X5 ) ) ),
inference(flattening,[],[f393]) ).
tff(f427,plain,
( ! [X1: $int,X0: $int] :
( ~ mem2(X1,X0,g_s143_135)
| ( mem0(X0,g_s12_10)
& mem0(X1,g_s56_52) ) )
& ! [X3: $int,X4: $int,X2: $int] :
( ( X2 = X4 )
| ~ mem2(X3,X4,g_s143_135)
| ~ mem2(X3,X2,g_s143_135) ) ),
inference(ennf_transformation,[],[f249]) ).
tff(f428,plain,
( ! [X1: $int,X0: $int] :
( ~ mem2(X1,X0,g_s143_135)
| ( mem0(X0,g_s12_10)
& mem0(X1,g_s56_52) ) )
& ! [X4: $int,X3: $int,X2: $int] :
( ~ mem2(X3,X2,g_s143_135)
| ( X2 = X4 )
| ~ mem2(X3,X4,g_s143_135) ) ),
inference(flattening,[],[f427]) ).
tff(f504,plain,
( ! [X0: $int,X1: $int] :
( ~ mem2(X0,X1,g_s143_135)
| ( mem0(X1,g_s12_10)
& mem0(X0,g_s56_52) ) )
& ! [X2: $int,X3: $int,X4: $int] :
( ~ mem2(X3,X4,g_s143_135)
| ( X2 = X4 )
| ~ mem2(X3,X2,g_s143_135) ) ),
inference(rectify,[],[f428]) ).
tff(f506,plain,
( ! [X0: $int,X1: $int,X2: $int] :
( ( X1 = X2 )
| ~ mem2(X0,X2,g_s149_1_144)
| ~ mem2(X0,X1,g_s149_1_144) )
& ! [X3: $int,X4: $int] :
( ( mem0(X3,g_s12_10)
& mem0(X4,g_s56_52) )
| ~ mem2(X4,X3,g_s149_1_144) ) ),
inference(rectify,[],[f337]) ).
tff(f612,plain,
( mem0(g_s157_148,g_s146_138)
& mem2(g_s157_148,sK83,g_s143_135) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK83]),skolemize(X0,sK83)],[f175]) ).
tff(f723,plain,
( ? [X0: $int,X1: $int] :
( ( ( ! [X2: $int] :
( ~ mem2(g_s157_148,X2,g_s143_135)
| ( g_s157_148 != X1 ) )
& mem2(X1,X0,g_s149_1_144) )
| ( ( g_s157_148 = X1 )
& mem2(g_s157_148,X0,g_s143_135) ) )
& ( ~ mem0(X0,g_s12_10)
| ~ mem0(X1,g_s56_52) ) )
| ? [X3: $int,X4: $int,X5: $int] :
( ( ( mem2(g_s157_148,X5,g_s143_135)
& ( X3 = g_s157_148 ) )
| ( ! [X6: $int] :
( ~ mem2(g_s157_148,X6,g_s143_135)
| ( g_s157_148 != X3 ) )
& mem2(X3,X5,g_s149_1_144) ) )
& ( ( mem2(g_s157_148,X4,g_s143_135)
& ( X3 = g_s157_148 ) )
| ( ! [X7: $int] :
( ( g_s157_148 != X3 )
| ~ mem2(g_s157_148,X7,g_s143_135) )
& mem2(X3,X4,g_s149_1_144) ) )
& ( X4 != X5 ) ) ),
inference(rectify,[],[f394]) ).
tff(f724,plain,
( ( ( ( ! [X2: $int] :
( ~ mem2(g_s157_148,X2,g_s143_135)
| ( g_s157_148 != sK157 ) )
& mem2(sK157,sK156,g_s149_1_144) )
| ( ( g_s157_148 = sK157 )
& mem2(g_s157_148,sK156,g_s143_135) ) )
& ( ~ mem0(sK156,g_s12_10)
| ~ mem0(sK157,g_s56_52) ) )
| ( ( ( mem2(g_s157_148,sK160,g_s143_135)
& ( g_s157_148 = sK158 ) )
| ( ! [X6: $int] :
( ~ mem2(g_s157_148,X6,g_s143_135)
| ( g_s157_148 != sK158 ) )
& mem2(sK158,sK160,g_s149_1_144) ) )
& ( ( mem2(g_s157_148,sK159,g_s143_135)
& ( g_s157_148 = sK158 ) )
| ( ! [X7: $int] :
( ( g_s157_148 != sK158 )
| ~ mem2(g_s157_148,X7,g_s143_135) )
& mem2(sK158,sK159,g_s149_1_144) ) )
& ( sK160 != sK159 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK156,sK157,sK158,sK159,sK160]),skolemize(X0,sK156),skolemize(X1,sK157),skolemize(X3,sK158),skolemize(X4,sK159),skolemize(X5,sK160)],[f723]) ).
tff(f743,plain,
! [X2: $int,X3: $int,X4: $int] :
( ~ mem2(X3,X4,g_s143_135)
| ~ mem2(X3,X2,g_s143_135)
| ( X2 = X4 ) ),
inference(cnf_transformation,[],[f504]) ).
tff(f745,plain,
! [X0: $int,X1: $int] :
( ~ mem2(X0,X1,g_s143_135)
| mem0(X1,g_s12_10) ),
inference(cnf_transformation,[],[f504]) ).
tff(f751,plain,
! [X3: $int,X4: $int] :
( ~ mem2(X4,X3,g_s149_1_144)
| mem0(X4,g_s56_52) ),
inference(cnf_transformation,[],[f506]) ).
tff(f752,plain,
! [X3: $int,X4: $int] :
( ~ mem2(X4,X3,g_s149_1_144)
| mem0(X3,g_s12_10) ),
inference(cnf_transformation,[],[f506]) ).
tff(f753,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ mem2(X0,X2,g_s149_1_144)
| ( X1 = X2 )
| ~ mem2(X0,X1,g_s149_1_144) ),
inference(cnf_transformation,[],[f506]) ).
tff(f1030,plain,
mem2(g_s157_148,sK83,g_s143_135),
inference(cnf_transformation,[],[f612]) ).
tff(f1126,plain,
! [X0: $int] : ~ mem2(g_s157_148,X0,g_s149_1_144),
inference(cnf_transformation,[],[f331]) ).
tff(f1328,plain,
mem0(g_s157_148,g_s56_52),
inference(cnf_transformation,[],[f173]) ).
tff(f1334,plain,
( ( sK160 != sK159 )
| ~ mem0(sK157,g_s56_52)
| ~ mem0(sK156,g_s12_10) ),
inference(cnf_transformation,[],[f724]) ).
tff(f1335,plain,
( ( g_s157_148 = sK158 )
| mem2(sK158,sK159,g_s149_1_144)
| ~ mem0(sK156,g_s12_10)
| ~ mem0(sK157,g_s56_52) ),
inference(cnf_transformation,[],[f724]) ).
tff(f1338,plain,
! [X7: $int] :
( mem2(g_s157_148,sK159,g_s143_135)
| ~ mem0(sK156,g_s12_10)
| ~ mem0(sK157,g_s56_52)
| ( g_s157_148 != sK158 )
| ~ mem2(g_s157_148,X7,g_s143_135) ),
inference(cnf_transformation,[],[f724]) ).
tff(f1339,plain,
( ~ mem0(sK156,g_s12_10)
| ( g_s157_148 = sK158 )
| ~ mem0(sK157,g_s56_52)
| mem2(sK158,sK160,g_s149_1_144) ),
inference(cnf_transformation,[],[f724]) ).
tff(f1341,plain,
( ~ mem0(sK156,g_s12_10)
| mem2(sK158,sK160,g_s149_1_144)
| ~ mem0(sK157,g_s56_52)
| mem2(g_s157_148,sK160,g_s143_135) ),
inference(cnf_transformation,[],[f724]) ).
tff(f1342,plain,
! [X6: $int] :
( ( g_s157_148 != sK158 )
| ~ mem0(sK156,g_s12_10)
| ~ mem2(g_s157_148,X6,g_s143_135)
| mem2(g_s157_148,sK160,g_s143_135)
| ~ mem0(sK157,g_s56_52) ),
inference(cnf_transformation,[],[f724]) ).
tff(f1343,plain,
( mem2(sK157,sK156,g_s149_1_144)
| mem2(g_s157_148,sK156,g_s143_135)
| ( sK160 != sK159 ) ),
inference(cnf_transformation,[],[f724]) ).
tff(f1344,plain,
( ( g_s157_148 = sK158 )
| mem2(sK158,sK159,g_s149_1_144)
| mem2(g_s157_148,sK156,g_s143_135)
| mem2(sK157,sK156,g_s149_1_144) ),
inference(cnf_transformation,[],[f724]) ).
tff(f1347,plain,
! [X7: $int] :
( mem2(g_s157_148,sK156,g_s143_135)
| ( g_s157_148 != sK158 )
| mem2(sK157,sK156,g_s149_1_144)
| mem2(g_s157_148,sK159,g_s143_135)
| ~ mem2(g_s157_148,X7,g_s143_135) ),
inference(cnf_transformation,[],[f724]) ).
tff(f1348,plain,
( mem2(sK157,sK156,g_s149_1_144)
| mem2(g_s157_148,sK156,g_s143_135)
| ( g_s157_148 = sK158 )
| mem2(sK158,sK160,g_s149_1_144) ),
inference(cnf_transformation,[],[f724]) ).
tff(f1352,plain,
( ( g_s157_148 = sK157 )
| ( sK160 != sK159 )
| mem2(sK157,sK156,g_s149_1_144) ),
inference(cnf_transformation,[],[f724]) ).
tff(f1353,plain,
( mem2(sK157,sK156,g_s149_1_144)
| ( g_s157_148 = sK158 )
| mem2(sK158,sK159,g_s149_1_144)
| ( g_s157_148 = sK157 ) ),
inference(cnf_transformation,[],[f724]) ).
tff(f1356,plain,
! [X7: $int] :
( ~ mem2(g_s157_148,X7,g_s143_135)
| ( g_s157_148 = sK157 )
| mem2(sK157,sK156,g_s149_1_144)
| mem2(g_s157_148,sK159,g_s143_135)
| ( g_s157_148 != sK158 ) ),
inference(cnf_transformation,[],[f724]) ).
tff(f1357,plain,
( mem2(sK158,sK160,g_s149_1_144)
| ( g_s157_148 = sK158 )
| mem2(sK157,sK156,g_s149_1_144)
| ( g_s157_148 = sK157 ) ),
inference(cnf_transformation,[],[f724]) ).
tff(f1360,plain,
! [X6: $int] :
( ( g_s157_148 != sK158 )
| ~ mem2(g_s157_148,X6,g_s143_135)
| mem2(sK157,sK156,g_s149_1_144)
| ( g_s157_148 = sK157 )
| mem2(g_s157_148,sK160,g_s143_135) ),
inference(cnf_transformation,[],[f724]) ).
tff(f1369,plain,
! [X2: $int,X6: $int] :
( mem2(g_s157_148,sK160,g_s143_135)
| ~ mem2(g_s157_148,X2,g_s143_135)
| ( g_s157_148 != sK157 )
| ~ mem2(g_s157_148,X6,g_s143_135)
| mem2(g_s157_148,sK156,g_s143_135)
| ( g_s157_148 != sK158 ) ),
inference(cnf_transformation,[],[f724]) ).
tff(f1413,definition,
( spl161_1
<=> mem2(g_s157_148,sK83,g_s143_135) ),
introduced(definition,[new_symbols(definition,[spl161_1])],[avatar_definition]) ).
tff(f1415,plain,
( mem2(g_s157_148,sK83,g_s143_135)
| ~ spl161_1 ),
inference(avatar_component_clause,[],[f1413]) ).
tff(f1416,plain,
spl161_1,
inference(avatar_split_clause,[],[f1030,f1413]) ).
tff(f1446,definition,
( spl161_8
<=> ( g_s157_148 = sK157 ) ),
introduced(definition,[new_symbols(definition,[spl161_8])],[avatar_definition]) ).
tff(f1448,plain,
( ( g_s157_148 = sK157 )
| ~ spl161_8 ),
inference(avatar_component_clause,[],[f1446]) ).
tff(f1450,definition,
( spl161_9
<=> mem2(g_s157_148,sK160,g_s143_135) ),
introduced(definition,[new_symbols(definition,[spl161_9])],[avatar_definition]) ).
tff(f1452,plain,
( mem2(g_s157_148,sK160,g_s143_135)
| ~ spl161_9 ),
inference(avatar_component_clause,[],[f1450]) ).
tff(f1454,definition,
( spl161_10
<=> ! [X6: $int] : ~ mem2(g_s157_148,X6,g_s143_135) ),
introduced(definition,[new_symbols(definition,[spl161_10])],[avatar_definition]) ).
tff(f1455,plain,
( ! [X6: $int] : ~ mem2(g_s157_148,X6,g_s143_135)
| ~ spl161_10 ),
inference(avatar_component_clause,[],[f1454]) ).
tff(f1457,definition,
( spl161_11
<=> ( g_s157_148 = sK158 ) ),
introduced(definition,[new_symbols(definition,[spl161_11])],[avatar_definition]) ).
tff(f1458,plain,
( ( g_s157_148 = sK158 )
| ~ spl161_11 ),
inference(avatar_component_clause,[],[f1457]) ).
tff(f1461,definition,
( spl161_12
<=> mem2(sK157,sK156,g_s149_1_144) ),
introduced(definition,[new_symbols(definition,[spl161_12])],[avatar_definition]) ).
tff(f1463,plain,
( mem2(sK157,sK156,g_s149_1_144)
| ~ spl161_12 ),
inference(avatar_component_clause,[],[f1461]) ).
tff(f1464,plain,
( spl161_8
| spl161_9
| spl161_10
| ~ spl161_11
| spl161_12 ),
inference(avatar_split_clause,[],[f1360,f1461,f1457,f1454,f1450,f1446]) ).
tff(f1466,definition,
( spl161_13
<=> mem2(g_s157_148,sK156,g_s143_135) ),
introduced(definition,[new_symbols(definition,[spl161_13])],[avatar_definition]) ).
tff(f1468,plain,
( mem2(g_s157_148,sK156,g_s143_135)
| ~ spl161_13 ),
inference(avatar_component_clause,[],[f1466]) ).
tff(f1476,definition,
( spl161_15
<=> mem2(g_s157_148,sK159,g_s143_135) ),
introduced(definition,[new_symbols(definition,[spl161_15])],[avatar_definition]) ).
tff(f1478,plain,
( mem2(g_s157_148,sK159,g_s143_135)
| ~ spl161_15 ),
inference(avatar_component_clause,[],[f1476]) ).
tff(f1479,plain,
( spl161_12
| spl161_15
| spl161_10
| ~ spl161_11
| spl161_13 ),
inference(avatar_split_clause,[],[f1347,f1466,f1457,f1454,f1476,f1461]) ).
tff(f1495,plain,
( ~ spl161_8
| spl161_10
| spl161_9
| ~ spl161_11
| spl161_10
| spl161_13 ),
inference(avatar_split_clause,[],[f1369,f1466,f1454,f1457,f1450,f1454,f1446]) ).
tff(f1502,definition,
( spl161_20
<=> mem2(sK158,sK159,g_s149_1_144) ),
introduced(definition,[new_symbols(definition,[spl161_20])],[avatar_definition]) ).
tff(f1504,plain,
( mem2(sK158,sK159,g_s149_1_144)
| ~ spl161_20 ),
inference(avatar_component_clause,[],[f1502]) ).
tff(f1507,definition,
( spl161_21
<=> mem2(sK158,sK160,g_s149_1_144) ),
introduced(definition,[new_symbols(definition,[spl161_21])],[avatar_definition]) ).
tff(f1509,plain,
( mem2(sK158,sK160,g_s149_1_144)
| ~ spl161_21 ),
inference(avatar_component_clause,[],[f1507]) ).
tff(f1512,definition,
( spl161_22
<=> mem0(sK156,g_s12_10) ),
introduced(definition,[new_symbols(definition,[spl161_22])],[avatar_definition]) ).
tff(f1514,plain,
( ~ mem0(sK156,g_s12_10)
| spl161_22 ),
inference(avatar_component_clause,[],[f1512]) ).
tff(f1516,definition,
( spl161_23
<=> mem0(sK157,g_s56_52) ),
introduced(definition,[new_symbols(definition,[spl161_23])],[avatar_definition]) ).
tff(f1518,plain,
( ~ mem0(sK157,g_s56_52)
| spl161_23 ),
inference(avatar_component_clause,[],[f1516]) ).
tff(f1519,plain,
( spl161_21
| spl161_11
| ~ spl161_22
| ~ spl161_23 ),
inference(avatar_split_clause,[],[f1339,f1516,f1512,f1457,f1507]) ).
tff(f1520,plain,
( spl161_12
| spl161_20
| spl161_11
| spl161_13 ),
inference(avatar_split_clause,[],[f1344,f1466,f1457,f1502,f1461]) ).
tff(f1557,definition,
( spl161_31
<=> mem0(g_s157_148,g_s56_52) ),
introduced(definition,[new_symbols(definition,[spl161_31])],[avatar_definition]) ).
tff(f1559,plain,
( mem0(g_s157_148,g_s56_52)
| ~ spl161_31 ),
inference(avatar_component_clause,[],[f1557]) ).
tff(f1560,plain,
spl161_31,
inference(avatar_split_clause,[],[f1328,f1557]) ).
tff(f1561,plain,
( spl161_12
| ~ spl161_11
| spl161_15
| spl161_8
| spl161_10 ),
inference(avatar_split_clause,[],[f1356,f1454,f1446,f1476,f1457,f1461]) ).
tff(f1573,definition,
( spl161_34
<=> ( sK160 = sK159 ) ),
introduced(definition,[new_symbols(definition,[spl161_34])],[avatar_definition]) ).
tff(f1575,plain,
( ( sK160 != sK159 )
| spl161_34 ),
inference(avatar_component_clause,[],[f1573]) ).
tff(f1576,plain,
( ~ spl161_22
| ~ spl161_34
| ~ spl161_23 ),
inference(avatar_split_clause,[],[f1334,f1516,f1573,f1512]) ).
tff(f1582,plain,
( spl161_15
| ~ spl161_22
| ~ spl161_23
| spl161_10
| ~ spl161_11 ),
inference(avatar_split_clause,[],[f1338,f1457,f1454,f1516,f1512,f1476]) ).
tff(f1640,plain,
( spl161_13
| spl161_12
| ~ spl161_34 ),
inference(avatar_split_clause,[],[f1343,f1573,f1461,f1466]) ).
tff(f1641,plain,
( spl161_11
| ~ spl161_23
| spl161_20
| ~ spl161_22 ),
inference(avatar_split_clause,[],[f1335,f1512,f1502,f1516,f1457]) ).
tff(f1660,plain,
( spl161_20
| spl161_11
| spl161_12
| spl161_8 ),
inference(avatar_split_clause,[],[f1353,f1446,f1461,f1457,f1502]) ).
tff(f1687,plain,
( spl161_13
| spl161_11
| spl161_21
| spl161_12 ),
inference(avatar_split_clause,[],[f1348,f1461,f1507,f1457,f1466]) ).
tff(f1697,plain,
( spl161_8
| ~ spl161_34
| spl161_12 ),
inference(avatar_split_clause,[],[f1352,f1461,f1573,f1446]) ).
tff(f1703,plain,
( spl161_11
| spl161_21
| spl161_12
| spl161_8 ),
inference(avatar_split_clause,[],[f1357,f1446,f1461,f1507,f1457]) ).
tff(f1709,plain,
( ~ spl161_22
| ~ spl161_11
| ~ spl161_23
| spl161_10
| spl161_9 ),
inference(avatar_split_clause,[],[f1342,f1450,f1454,f1516,f1457,f1512]) ).
tff(f1771,plain,
( spl161_21
| ~ spl161_22
| spl161_9
| ~ spl161_23 ),
inference(avatar_split_clause,[],[f1341,f1516,f1450,f1512,f1507]) ).
tff(f1879,plain,
( mem0(sK157,g_s56_52)
| ~ spl161_12 ),
inference(resolution,[],[f751,f1463]) ).
tff(f1880,plain,
( $false
| ~ spl161_12
| spl161_23 ),
inference(forward_subsumption_resolution,[],[f1879,f1518]) ).
tff(f1881,plain,
( ~ spl161_12
| spl161_23 ),
inference(avatar_contradiction_clause,[],[f1880]) ).
tff(f1883,plain,
( mem2(sK158,sK83,g_s143_135)
| ~ spl161_1
| ~ spl161_11 ),
inference(superposition,[],[f1415,f1458]) ).
tff(f1894,definition,
( spl161_91
<=> mem2(sK158,sK83,g_s143_135) ),
introduced(definition,[new_symbols(definition,[spl161_91])],[avatar_definition]) ).
tff(f1896,plain,
( mem2(sK158,sK83,g_s143_135)
| ~ spl161_91 ),
inference(avatar_component_clause,[],[f1894]) ).
tff(f1897,plain,
( spl161_91
| ~ spl161_1
| ~ spl161_11 ),
inference(avatar_split_clause,[],[f1883,f1457,f1413,f1894]) ).
tff(f2480,plain,
( ! [X0: $int] :
( ~ mem2(sK158,X0,g_s149_1_144)
| ( sK159 = X0 ) )
| ~ spl161_20 ),
inference(resolution,[],[f753,f1504]) ).
tff(f2483,plain,
( ( sK160 = sK159 )
| ~ spl161_20
| ~ spl161_21 ),
inference(resolution,[],[f2480,f1509]) ).
tff(f2485,plain,
( $false
| ~ spl161_20
| ~ spl161_21
| spl161_34 ),
inference(forward_subsumption_resolution,[],[f2483,f1575]) ).
tff(f2486,plain,
( ~ spl161_20
| ~ spl161_21
| spl161_34 ),
inference(avatar_contradiction_clause,[],[f2485]) ).
tff(f2487,plain,
( ! [X0: $int] : ~ mem2(sK158,X0,g_s149_1_144)
| ~ spl161_11 ),
inference(superposition,[],[f1126,f1458]) ).
tff(f2495,plain,
( mem2(sK158,sK160,g_s143_135)
| ~ spl161_9
| ~ spl161_11 ),
inference(forward_demodulation,[],[f1452,f1458]) ).
tff(f2497,definition,
( spl161_113
<=> mem2(sK158,sK160,g_s143_135) ),
introduced(definition,[new_symbols(definition,[spl161_113])],[avatar_definition]) ).
tff(f2499,plain,
( mem2(sK158,sK160,g_s143_135)
| ~ spl161_113 ),
inference(avatar_component_clause,[],[f2497]) ).
tff(f2500,plain,
( spl161_113
| ~ spl161_9
| ~ spl161_11 ),
inference(avatar_split_clause,[],[f2495,f1457,f1450,f2497]) ).
tff(f2501,plain,
( mem2(sK158,sK159,g_s143_135)
| ~ spl161_11
| ~ spl161_15 ),
inference(forward_demodulation,[],[f1478,f1458]) ).
tff(f2503,definition,
( spl161_114
<=> mem2(sK158,sK159,g_s143_135) ),
introduced(definition,[new_symbols(definition,[spl161_114])],[avatar_definition]) ).
tff(f2505,plain,
( mem2(sK158,sK159,g_s143_135)
| ~ spl161_114 ),
inference(avatar_component_clause,[],[f2503]) ).
tff(f2506,plain,
( spl161_114
| ~ spl161_11
| ~ spl161_15 ),
inference(avatar_split_clause,[],[f2501,f1476,f1457,f2503]) ).
tff(f2513,plain,
( ! [X0: $int] :
( ~ mem2(sK158,X0,g_s143_135)
| ( sK160 = X0 ) )
| ~ spl161_113 ),
inference(resolution,[],[f2499,f743]) ).
tff(f2540,plain,
( ( sK160 = sK159 )
| ~ spl161_113
| ~ spl161_114 ),
inference(resolution,[],[f2513,f2505]) ).
tff(f2547,plain,
( $false
| spl161_34
| ~ spl161_113
| ~ spl161_114 ),
inference(forward_subsumption_resolution,[],[f2540,f1575]) ).
tff(f2548,plain,
( spl161_34
| ~ spl161_113
| ~ spl161_114 ),
inference(avatar_contradiction_clause,[],[f2547]) ).
tff(f2549,plain,
( ! [X6: $int] : ~ mem2(sK158,X6,g_s143_135)
| ~ spl161_10
| ~ spl161_11 ),
inference(forward_demodulation,[],[f1455,f1458]) ).
tff(f2550,plain,
( $false
| ~ spl161_11
| ~ spl161_21 ),
inference(forward_subsumption_resolution,[],[f1509,f2487]) ).
tff(f2551,plain,
( ~ spl161_11
| ~ spl161_21 ),
inference(avatar_contradiction_clause,[],[f2550]) ).
tff(f2558,plain,
( mem0(sK157,g_s56_52)
| ~ spl161_8
| ~ spl161_31 ),
inference(superposition,[],[f1559,f1448]) ).
tff(f2573,plain,
( spl161_23
| ~ spl161_8
| ~ spl161_31 ),
inference(avatar_split_clause,[],[f2558,f1557,f1446,f1516]) ).
tff(f2587,plain,
( mem2(sK157,sK156,g_s143_135)
| ~ spl161_8
| ~ spl161_13 ),
inference(forward_demodulation,[],[f1468,f1448]) ).
tff(f2589,definition,
( spl161_121
<=> mem2(sK157,sK156,g_s143_135) ),
introduced(definition,[new_symbols(definition,[spl161_121])],[avatar_definition]) ).
tff(f2591,plain,
( mem2(sK157,sK156,g_s143_135)
| ~ spl161_121 ),
inference(avatar_component_clause,[],[f2589]) ).
tff(f2592,plain,
( spl161_121
| ~ spl161_8
| ~ spl161_13 ),
inference(avatar_split_clause,[],[f2587,f1466,f1446,f2589]) ).
tff(f2609,plain,
( mem0(sK156,g_s12_10)
| ~ spl161_121 ),
inference(resolution,[],[f2591,f745]) ).
tff(f2611,plain,
( $false
| spl161_22
| ~ spl161_121 ),
inference(forward_subsumption_resolution,[],[f2609,f1514]) ).
tff(f2612,plain,
( spl161_22
| ~ spl161_121 ),
inference(avatar_contradiction_clause,[],[f2611]) ).
tff(f2615,plain,
( mem0(sK156,g_s12_10)
| ~ spl161_12 ),
inference(resolution,[],[f1463,f752]) ).
tff(f2617,plain,
( $false
| ~ spl161_12
| spl161_22 ),
inference(forward_subsumption_resolution,[],[f2615,f1514]) ).
tff(f2618,plain,
( ~ spl161_12
| spl161_22 ),
inference(avatar_contradiction_clause,[],[f2617]) ).
tff(f2645,plain,
( $false
| ~ spl161_10
| ~ spl161_11
| ~ spl161_91 ),
inference(resolution,[],[f2549,f1896]) ).
tff(f2647,plain,
( ~ spl161_10
| ~ spl161_11
| ~ spl161_91 ),
inference(avatar_contradiction_clause,[],[f2645]) ).
tff(f2649,plain,
$false,
inference(avatar_smt_refutation,[],[f2647,f2618,f2612,f2592,f2573,f2551,f2548,f2506,f2500,f2486,f1897,f1881,f1771,f1709,f1703,f1697,f1687,f1660,f1641,f1640,f1582,f1576,f1561,f1560,f1520,f1519,f1495,f1479,f1464,f1416]) ).
%------------------------------------------------------------------------------
%----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/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 % Computer : n026.cluster.edu
% 0.09/0.23 % Model : x86_64 x86_64
% 0.09/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.23 % Memory : 8046.5625MB
% 0.09/0.23 % OS : Linux 6.8.0-71-generic
% 0.09/0.23 % CPULimit : 300
% 0.09/0.23 % WCLimit : 300
% 0.09/0.23 % DateTime : Mon Sep 28 09:44:42 UTC 2026
% 0.09/0.23 % CPUTime :
% 0.09/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.29 Running first-order theorem proving
% 0.25/0.29 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
% 3.42/1.33 % (3732608)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.42/1.33 % (3732678)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3765181416:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.42/1.33 % (3732678)Instruction limit reached!
% 3.42/1.33 % (3732678)------------------------------
% 3.42/1.33 % (3732678)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/1.33 % (3732678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/1.33 % (3732678)CaDiCaL version: 2.1.3
% 3.42/1.33 % (3732678)Termination reason: Instruction limit
% 3.42/1.33 % (3732678)Termination phase: Preprocessing 2
% 3.42/1.33 % (3732678)Time elapsed: 0.003 s
% 3.42/1.33 % (3732678)Peak memory usage: 86 MB
% 3.42/1.33 % (3732678)Instructions burned: 9 (million)
% 3.42/1.33 % (3732674)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2560912336:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.42/1.33 % (3732683)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3545306670:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.42/1.33 % (3732680)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=14380042:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.42/1.33 % (3732677)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3033907827:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.42/1.33 % (3732676)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1295498742:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.42/1.33 % (3732680)Instruction limit reached!
% 3.42/1.33 % (3732680)------------------------------
% 3.42/1.33 % (3732680)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/1.33 % (3732680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/1.33 % (3732680)CaDiCaL version: 2.1.3
% 3.42/1.33 % (3732680)Termination reason: Instruction limit
% 3.42/1.33 % (3732680)Termination phase: Property scanning
% 3.42/1.33 % (3732680)Time elapsed: 0.003 s
% 3.42/1.33 % (3732680)Peak memory usage: 85 MB
% 3.42/1.33 % (3732680)Instructions burned: 5 (million)
% 3.42/1.33 % (3732674)Instruction limit reached!
% 3.42/1.33 % (3732674)------------------------------
% 3.42/1.33 % (3732674)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/1.33 % (3732674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/1.33 % (3732674)CaDiCaL version: 2.1.3
% 3.42/1.33 % (3732674)Termination reason: Instruction limit
% 3.42/1.33 % (3732674)Termination phase: Preprocessing 1
% 3.42/1.33 % (3732674)Time elapsed: 0.006 s
% 3.42/1.33 % (3732674)Peak memory usage: 86 MB
% 3.42/1.33 % (3732674)Instructions burned: 12 (million)
% 3.42/1.33 % (3732682)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=950020088:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.42/1.33 % (3732683)Instruction limit reached!
% 3.42/1.33 % (3732683)------------------------------
% 3.42/1.33 % (3732683)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/1.33 % (3732683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/1.33 % (3732683)CaDiCaL version: 2.1.3
% 3.42/1.33 % (3732683)Termination reason: Instruction limit
% 3.42/1.33 % (3732683)Termination phase: Saturation
% 3.42/1.33 % (3732683)Time elapsed: 0.040 s
% 3.42/1.33 % (3732683)Peak memory usage: 112 MB
% 3.42/1.33 % (3732683)Instructions burned: 33 (million)
% 3.42/1.33 % (3732715)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=196019307:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.42/1.33 % (3732715)Instruction limit reached!
% 3.42/1.33 % (3732715)------------------------------
% 3.42/1.33 % (3732715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/1.33 % (3732715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/1.33 % (3732715)CaDiCaL version: 2.1.3
% 3.42/1.33 % (3732715)Termination reason: Instruction limit
% 3.42/1.33 % (3732715)Termination phase: Blocked clause elimination
% 3.42/1.33 % (3732715)Time elapsed: 0.005 s
% 3.42/1.33 % (3732715)Peak memory usage: 87 MB
% 3.42/1.33 % (3732715)Instructions burned: 15 (million)
% 3.42/1.33 % (3732682)Instruction limit reached!
% 3.42/1.33 % (3732682)------------------------------
% 3.42/1.39 % (3732682)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/1.39 % (3732682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/1.39 % (3732682)CaDiCaL version: 2.1.3
% 3.42/1.39 % (3732682)Termination reason: Instruction limit
% 3.42/1.39 % (3732682)Termination phase: Saturation
% 3.42/1.39 % (3732682)Time elapsed: 0.050 s
% 3.42/1.39 % (3732682)Peak memory usage: 113 MB
% 3.42/1.39 % (3732682)Instructions burned: 46 (million)
% 3.42/1.39 % (3732730)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=3188193261:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.42/1.39 % (3732732)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=4008037270:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 3.42/1.39 % (3732732)Instruction limit reached!
% 3.42/1.39 % (3732732)------------------------------
% 3.42/1.39 % (3732732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/1.39 % (3732732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/1.39 % (3732732)CaDiCaL version: 2.1.3
% 3.42/1.39 % (3732732)Termination reason: Instruction limit
% 3.42/1.39 % (3732732)Termination phase: Property scanning
% 3.42/1.39 % (3732732)Time elapsed: 0.011 s
% 3.42/1.39 % (3732732)Peak memory usage: 87 MB
% 3.42/1.39 % (3732732)Instructions burned: 16 (million)
% 3.42/1.39 % (3732730)Instruction limit reached!
% 3.42/1.39 % (3732730)------------------------------
% 3.42/1.39 % (3732730)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/1.39 % (3732730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/1.39 % (3732730)CaDiCaL version: 2.1.3
% 3.42/1.39 % (3732730)Termination reason: Instruction limit
% 3.42/1.39 % (3732730)Termination phase: Saturation
% 3.42/1.39 % (3732730)Time elapsed: 0.017 s
% 3.42/1.39 % (3732730)Peak memory usage: 89 MB
% 3.42/1.39 % (3732730)Instructions burned: 30 (million)
% 3.42/1.39 % (3732747)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=1285648895:i=85:gtgl=4:rtra=on:gtg=exists_sym_2997 on theBenchmark for (2997ds/85Mi)
% 3.42/1.39 % (3732677)Instruction limit reached!
% 3.42/1.39 % (3732677)------------------------------
% 3.42/1.39 % (3732677)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/1.39 % (3732677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/1.39 % (3732677)CaDiCaL version: 2.1.3
% 3.42/1.39 % (3732677)Termination reason: Instruction limit
% 3.42/1.39 % (3732677)Termination phase: Saturation
% 3.42/1.39 % (3732677)Time elapsed: 0.148 s
% 3.42/1.39 % (3732677)Peak memory usage: 118 MB
% 3.42/1.39 % (3732677)Instructions burned: 201 (million)
% 3.42/1.39 % (3732744)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=3031570403:i=24:canc=force:rtra=on_2998 on theBenchmark for (2998ds/24Mi)
% 3.42/1.39 % (3732676)First to succeed.
% 3.42/1.39 % (3732747)Instruction limit reached!
% 3.42/1.39 % (3732747)------------------------------
% 3.42/1.39 % (3732747)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/1.39 % (3732747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/1.39 % (3732747)CaDiCaL version: 2.1.3
% 3.42/1.39 % (3732747)Termination reason: Instruction limit
% 3.42/1.39 % (3732747)Termination phase: Saturation
% 3.42/1.39 % (3732747)Time elapsed: 0.029 s
% 3.42/1.39 % (3732747)Peak memory usage: 90 MB
% 3.42/1.39 % (3732747)Instructions burned: 86 (million)
% 3.42/1.39 % (3732676)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3732608"
% 3.42/1.39 % (3732744)Instruction limit reached!
% 3.42/1.39 % (3732744)------------------------------
% 3.42/1.39 % (3732744)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/1.39 % (3732744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/1.39 % (3732744)CaDiCaL version: 2.1.3
% 3.42/1.39 % (3732744)Termination reason: Instruction limit
% 3.42/1.39 % (3732744)Termination phase: Property scanning
% 3.42/1.39 % (3732744)Time elapsed: 0.015 s
% 3.42/1.39 % (3732744)Peak memory usage: 87 MB
% 3.42/1.39 % (3732744)Instructions burned: 25 (million)
% 3.42/1.39 % (3732746)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=3471531536:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 3.42/1.39 % (3732746)Instruction limit reached!
% 3.42/1.39 % (3732746)------------------------------
% 3.42/1.39 % (3732746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/1.39 % (3732746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/1.39 % (3732746)CaDiCaL version: 2.1.3
% 3.42/1.39 % (3732746)Termination reason: Instruction limit
% 3.42/1.39 % (3732746)Termination phase: Saturation
% 3.42/1.39 % (3732746)Time elapsed: 0.016 s
% 3.42/1.39 % (3732746)Peak memory usage: 89 MB
% 3.42/1.39 % (3732746)Instructions burned: 27 (million)
% 3.42/1.39 % (3732760)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=3021420200:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2996 on theBenchmark for (2996ds/66Mi)
% 3.42/1.39 % (3732750)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=1706715488:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2997 on theBenchmark for (2997ds/2Mi)
% 3.42/1.39 % (3732750)Instruction limit reached!
% 3.42/1.39 % (3732750)------------------------------
% 3.42/1.39 % (3732750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/1.39 % (3732750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/1.39 % (3732750)CaDiCaL version: 2.1.3
% 3.42/1.39 % (3732750)Termination reason: Instruction limit
% 3.42/1.39 % (3732750)Termination phase: Property scanning
% 3.42/1.39 % (3732750)Time elapsed: 0.002 s
% 3.42/1.39 % (3732750)Peak memory usage: 85 MB
% 3.42/1.39 % (3732750)Instructions burned: 3 (million)
% 3.42/1.39 % (3732753)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=717211396:i=4:ep=RST:ins=2:rtra=on_2997 on theBenchmark for (2997ds/4Mi)
% 3.42/1.39 % (3732752)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=388659050:i=181:rtra=on:ss=axioms:ev=cautious_2997 on theBenchmark for (2997ds/181Mi)
% 3.42/1.39 % (3732753)Instruction limit reached!
% 3.42/1.39 % (3732753)------------------------------
% 3.42/1.39 % (3732753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/1.39 % (3732753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/1.39 % (3732753)CaDiCaL version: 2.1.3
% 3.42/1.39 % (3732753)Termination reason: Instruction limit
% 3.42/1.39 % (3732753)Termination phase: Property scanning
% 3.42/1.39 % (3732753)Time elapsed: 0.003 s
% 3.42/1.39 % (3732753)Peak memory usage: 85 MB
% 3.42/1.39 % (3732753)Instructions burned: 5 (million)
% 3.42/1.39 % (3732752)Also succeeded, but the first one will report.
% 3.42/1.39 % (3732760)Instruction limit reached!
% 3.42/1.39 % (3732760)------------------------------
% 3.42/1.39 % (3732760)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/1.39 % (3732760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/1.39 % (3732760)CaDiCaL version: 2.1.3
% 3.42/1.39 % (3732760)Termination reason: Instruction limit
% 3.42/1.39 % (3732760)Termination phase: Saturation
% 3.42/1.39 % (3732760)Time elapsed: 0.047 s
% 3.42/1.39 % (3732760)Peak memory usage: 134 MB
% 3.42/1.39 % (3732760)Instructions burned: 68 (million)
% 3.42/1.39 % (3732764)lrs+10_1_thi=all:si=on:fd=off:random_seed=37822209:i=53:rtra=on:gtg=all_2996 on theBenchmark for (2996ds/53Mi)
% 3.42/1.39 % (3732784)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=3526462629:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2996 on theBenchmark for (2996ds/8Mi)
% 3.42/1.39 % (3732784)Instruction limit reached!
% 3.42/1.39 % (3732784)------------------------------
% 3.42/1.39 % (3732784)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/1.39 % (3732784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/1.39 % (3732784)CaDiCaL version: 2.1.3
% 3.42/1.39 % (3732784)Termination reason: Instruction limit
% 3.42/1.39 % (3732784)Termination phase: Including theory axioms
% 3.42/1.39 % (3732784)Time elapsed: 0.004 s
% 3.42/1.39 % (3732784)Peak memory usage: 85 MB
% 3.42/1.39 % (3732784)Instructions burned: 8 (million)
% 3.42/1.39 % (3732764)Instruction limit reached!
% 3.42/1.39 % (3732764)------------------------------
% 3.42/1.39 % (3732764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/1.39 % (3732764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/1.39 % (3732764)CaDiCaL version: 2.1.3
% 3.42/1.39 % (3732764)Termination reason: Instruction limit
% 3.42/1.39 % (3732764)Termination phase: Saturation
% 3.42/1.39 % (3732764)Time elapsed: 0.053 s
% 3.42/1.39 % (3732764)Peak memory usage: 117 MB
% 3.42/1.39 % (3732764)Instructions burned: 54 (million)
% 3.42/1.39 % (3732808)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=1253971360:st=3:i=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/2Mi)
% 3.42/1.39 % (3732808)Instruction limit reached!
% 3.42/1.39 % (3732808)------------------------------
% 3.42/1.39 % (3732808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/1.39 % (3732808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/1.39 % (3732808)CaDiCaL version: 2.1.3
% 3.42/1.39 % (3732808)Termination reason: Instruction limit
% 3.42/1.39 % (3732808)Termination phase: Property scanning
% 3.42/1.39 % (3732808)Time elapsed: 0.002 s
% 3.42/1.39 % (3732808)Peak memory usage: 85 MB
% 3.42/1.39 % (3732808)Instructions burned: 3 (million)
% 3.42/1.39 % (3732811)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=2654551239:i=2:doe=on:canc=force:asg=cautious:rtra=on_2995 on theBenchmark for (2995ds/2Mi)
% 3.42/1.39 % (3732812)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=400552585:i=127:doe=on:rtra=on_2995 on theBenchmark for (2995ds/127Mi)
% 3.42/1.39 % (3732811)Instruction limit reached!
% 3.42/1.39 % (3732811)------------------------------
% 3.42/1.39 % (3732811)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/1.39 % (3732811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/1.39 % (3732811)CaDiCaL version: 2.1.3
% 3.42/1.39 % (3732811)Termination reason: Instruction limit
% 3.42/1.39 % (3732811)Termination phase: Property scanning
% 3.42/1.39 % (3732811)Time elapsed: 0.002 s
% 3.42/1.39 % (3732811)Peak memory usage: 85 MB
% 3.42/1.39 % (3732811)Instructions burned: 3 (million)
% 3.42/1.39 % (3732676)Refutation found. Thanks to Tanya!
% 3.42/1.39 % SZS status Theorem for theBenchmark
% 3.42/1.39 % SZS output start Proof for theBenchmark
% See solution above
% 4.84/1.58 % (3732676)------------------------------
% 4.84/1.58 % (3732676)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.84/1.58 % (3732676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.84/1.58 % (3732676)CaDiCaL version: 2.1.3
% 4.84/1.58 % (3732676)Termination reason: Refutation
% 4.84/1.58 % (3732676)Time elapsed: 0.177 s
% 4.84/1.58 % (3732676)Peak memory usage: 119 MB
% 4.84/1.58 % (3732676)Instructions burned: 262 (million)
% 4.84/1.58 % (3732676)------------------------------
% 4.84/1.58 % (3732676)------------------------------
% 4.84/1.58 % (3732608)Success in time 0.586 s
% 4.84/1.58 % Vampire exiting
%------------------------------------------------------------------------------