%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC539_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 : 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 01:04:12 PM UTC 2026
% Result : Theorem 3.58s 1.19s
% Output : Refutation 4.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 53 ( 1 unt; 0 typ; 7 def)
% Number of atoms : 244 ( 26 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 265 ( 74 ~; 74 |; 92 &)
% ( 15 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 109 ( 0 atm; 0 fun; 0 num; 109 var)
% Number of types : 4 ( 2 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 8 prp; 0-3 aty)
% Number of functors : 301 ( 301 usr; 214 con; 0-1 aty)
% Number of variables : 115 ( 86 !; 29 ?; 115 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
set_0: $tType ).
tff(type_def_6,type,
set_2: $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_0 ).
tff(func_def_15,type,
g_s8_8: set_0 ).
tff(func_def_16,type,
g_s9_9: set_0 ).
tff(func_def_17,type,
g_s10_10: set_0 ).
tff(func_def_18,type,
g_s11_11: set_0 ).
tff(func_def_19,type,
g_s12_12: set_0 ).
tff(func_def_20,type,
g_s13_13: set_0 ).
tff(func_def_21,type,
g_s14_14: set_0 ).
tff(func_def_22,type,
g_s15_15: set_0 ).
tff(func_def_23,type,
g_s16_16: $int ).
tff(func_def_24,type,
g_s17_17: $int ).
tff(func_def_25,type,
g_s18_18: $int ).
tff(func_def_26,type,
g_s19_19: set_0 ).
tff(func_def_27,type,
g_s20_20: $int ).
tff(func_def_28,type,
g_s21_21: set_2 ).
tff(func_def_29,type,
g_s22_22: set_0 ).
tff(func_def_30,type,
g_s23_23: $int ).
tff(func_def_31,type,
g_s24_24: set_2 ).
tff(func_def_32,type,
g_s25_25: set_0 ).
tff(func_def_33,type,
g_s26_26: $int ).
tff(func_def_34,type,
g_s27_27: set_2 ).
tff(func_def_35,type,
g_s28_28: set_0 ).
tff(func_def_36,type,
g_s29_29: $int ).
tff(func_def_37,type,
g_s30_30: set_2 ).
tff(func_def_38,type,
g_s31_31: set_0 ).
tff(func_def_39,type,
g_s32_32: $int ).
tff(func_def_40,type,
g_s33_33: set_2 ).
tff(func_def_41,type,
g_s34_34: set_0 ).
tff(func_def_42,type,
g_s35_35: $int ).
tff(func_def_43,type,
g_s36_36: set_2 ).
tff(func_def_44,type,
g_s37_37: set_0 ).
tff(func_def_45,type,
g_s38_38: $int ).
tff(func_def_46,type,
g_s39_39: set_2 ).
tff(func_def_47,type,
g_s40_40: set_0 ).
tff(func_def_48,type,
g_s41_41: $int ).
tff(func_def_49,type,
g_s42_42: set_2 ).
tff(func_def_50,type,
g_s43_43: set_2 ).
tff(func_def_51,type,
g_s44_44: set_0 ).
tff(func_def_52,type,
g_s45_45: set_2 ).
tff(func_def_53,type,
g_s47_46: set_0 ).
tff(func_def_54,type,
g_s46_47: $int ).
tff(func_def_55,type,
g_s48_48: $int ).
tff(func_def_56,type,
g_s49_49: set_2 ).
tff(func_def_57,type,
g_s50_50: set_0 ).
tff(func_def_58,type,
g_s51_51: $int ).
tff(func_def_59,type,
g_s52_52: set_2 ).
tff(func_def_60,type,
g_s53_53: set_0 ).
tff(func_def_61,type,
g_s54_54: set_0 ).
tff(func_def_62,type,
g_s55_55: set_2 ).
tff(func_def_63,type,
g_s56_56: set_0 ).
tff(func_def_64,type,
g_s57_57: $int ).
tff(func_def_65,type,
g_s58_58: set_2 ).
tff(func_def_66,type,
g_s59_59: set_0 ).
tff(func_def_67,type,
g_s60_60: $int ).
tff(func_def_68,type,
g_s61_61: set_2 ).
tff(func_def_69,type,
g_s62_62: set_0 ).
tff(func_def_70,type,
g_s63_63: $int ).
tff(func_def_71,type,
g_s64_64: set_2 ).
tff(func_def_72,type,
g_s65_65: set_0 ).
tff(func_def_73,type,
g_s66_66: set_0 ).
tff(func_def_74,type,
g_s67_67: set_2 ).
tff(func_def_75,type,
g_s68_68: set_0 ).
tff(func_def_76,type,
g_s69_69: $int ).
tff(func_def_77,type,
g_s70_70: set_2 ).
tff(func_def_78,type,
g_s71_71: set_0 ).
tff(func_def_79,type,
g_s72_72: $int ).
tff(func_def_80,type,
g_s73_73: set_2 ).
tff(func_def_81,type,
g_s74_74: set_0 ).
tff(func_def_82,type,
g_s75_75: $int ).
tff(func_def_83,type,
g_s76_76: set_2 ).
tff(func_def_84,type,
g_s94_77: set_2 ).
tff(func_def_85,type,
g_s97_78: set_2 ).
tff(func_def_86,type,
g_s108_79: set_2 ).
tff(func_def_87,type,
g_s93_80: set_2 ).
tff(func_def_88,type,
g_s95_81: set_2 ).
tff(func_def_89,type,
g_s96_82: set_2 ).
tff(func_def_90,type,
g_s98_83: set_2 ).
tff(func_def_91,type,
g_s99_84: set_2 ).
tff(func_def_92,type,
g_s100_85: set_2 ).
tff(func_def_93,type,
g_s101_86: set_2 ).
tff(func_def_94,type,
g_s102_87: set_2 ).
tff(func_def_95,type,
g_s103_88: set_2 ).
tff(func_def_96,type,
g_s104_89: set_2 ).
tff(func_def_97,type,
g_s105_90: set_2 ).
tff(func_def_98,type,
g_s106_91: set_2 ).
tff(func_def_99,type,
g_s107_92: set_2 ).
tff(func_def_102,type,
sK0: set_2 ).
tff(func_def_103,type,
sK1: $int > $int ).
tff(func_def_104,type,
sK2: set_2 ).
tff(func_def_105,type,
sK3: $int ).
tff(func_def_106,type,
sK4: $int > $int ).
tff(func_def_107,type,
sK5: set_2 ).
tff(func_def_108,type,
sK6: $int > $int ).
tff(func_def_109,type,
sK7: $int ).
tff(func_def_110,type,
sK8: set_2 ).
tff(func_def_111,type,
sK9: $int > $int ).
tff(func_def_112,type,
sK10: set_2 ).
tff(func_def_113,type,
sK11: $int > $int ).
tff(func_def_114,type,
sK12: set_2 ).
tff(func_def_115,type,
sK13: $int > $int ).
tff(func_def_116,type,
sK14: $int ).
tff(func_def_117,type,
sK15: set_2 ).
tff(func_def_118,type,
sK16: $int > $int ).
tff(func_def_119,type,
sK17: set_2 ).
tff(func_def_120,type,
sK18: $int > $int ).
tff(func_def_121,type,
sK19: $int ).
tff(func_def_122,type,
sK20: $int ).
tff(func_def_123,type,
sK21: set_2 ).
tff(func_def_124,type,
sK22: $int > $int ).
tff(func_def_125,type,
sK23: $int > $int ).
tff(func_def_126,type,
sK24: set_2 ).
tff(func_def_127,type,
sK25: $int > $int ).
tff(func_def_128,type,
sK26: set_2 ).
tff(func_def_129,type,
sK27: $int > $int ).
tff(func_def_130,type,
sK28: $int ).
tff(func_def_131,type,
sK29: set_2 ).
tff(func_def_132,type,
sK30: $int > $int ).
tff(func_def_133,type,
sK31: $int > $int ).
tff(func_def_134,type,
sK32: $int ).
tff(func_def_135,type,
sK33: $int > $int ).
tff(func_def_136,type,
sK34: set_2 ).
tff(func_def_137,type,
sK35: $int > $int ).
tff(func_def_138,type,
sK36: set_2 ).
tff(func_def_139,type,
sK37: $int > $int ).
tff(func_def_140,type,
sK38: $int ).
tff(func_def_141,type,
sK39: $int ).
tff(func_def_142,type,
sK40: set_2 ).
tff(func_def_143,type,
sK41: set_2 ).
tff(func_def_144,type,
sK42: $int > $int ).
tff(func_def_145,type,
sK43: $int > $int ).
tff(func_def_146,type,
sK44: $int ).
tff(func_def_147,type,
sK45: set_2 ).
tff(func_def_148,type,
sK46: $int ).
tff(func_def_149,type,
sK47: $int > $int ).
tff(func_def_150,type,
sK48: set_2 ).
tff(func_def_151,type,
sK49: $int > $int ).
tff(func_def_152,type,
sK50: set_2 ).
tff(func_def_153,type,
sK51: $int > $int ).
tff(func_def_154,type,
sK52: set_2 ).
tff(func_def_155,type,
sK53: $int > $int ).
tff(func_def_156,type,
sK54: $int ).
tff(func_def_157,type,
sK55: $int > $int ).
tff(func_def_158,type,
sK56: set_2 ).
tff(func_def_159,type,
sK57: $int > $int ).
tff(func_def_160,type,
sK58: set_2 ).
tff(func_def_161,type,
sK59: $int > $int ).
tff(func_def_162,type,
sK60: $int ).
tff(func_def_163,type,
sK61: set_2 ).
tff(func_def_164,type,
sK62: $int > $int ).
tff(func_def_165,type,
sK63: set_2 ).
tff(func_def_166,type,
sK64: $int > $int ).
tff(func_def_167,type,
sK65: $int ).
tff(func_def_168,type,
sK66: $int > $int ).
tff(func_def_169,type,
sK67: $int ).
tff(func_def_170,type,
sK68: $int ).
tff(func_def_171,type,
sK69: $int ).
tff(func_def_172,type,
sK70: $int ).
tff(func_def_173,type,
sK71: $int ).
tff(func_def_174,type,
sK72: $int ).
tff(func_def_175,type,
sK73: $int > $int ).
tff(func_def_176,type,
sK74: set_2 ).
tff(func_def_177,type,
sK75: $int > $int ).
tff(func_def_178,type,
sK76: set_2 ).
tff(func_def_179,type,
sK77: $int ).
tff(func_def_180,type,
sK78: $int > $int ).
tff(func_def_181,type,
sK79: set_2 ).
tff(func_def_182,type,
sK80: $int > $int ).
tff(func_def_183,type,
sK81: $int ).
tff(func_def_184,type,
sK82: $int ).
tff(func_def_185,type,
sK83: set_2 ).
tff(func_def_186,type,
sK84: $int ).
tff(func_def_187,type,
sK85: $int > $int ).
tff(func_def_188,type,
sK86: set_2 ).
tff(func_def_189,type,
sK87: $int > $int ).
tff(func_def_190,type,
sK88: $int ).
tff(func_def_191,type,
sK89: set_2 ).
tff(func_def_192,type,
sK90: $int > $int ).
tff(func_def_193,type,
sK91: set_2 ).
tff(func_def_194,type,
sK92: $int > $int ).
tff(func_def_195,type,
sK93: $int ).
tff(func_def_196,type,
sK94: set_2 ).
tff(func_def_197,type,
sK95: $int > $int ).
tff(func_def_198,type,
sK96: set_2 ).
tff(func_def_199,type,
sK97: $int > $int ).
tff(func_def_200,type,
sK98: $int ).
tff(func_def_201,type,
sK99: $int > $int ).
tff(func_def_202,type,
sK100: set_2 ).
tff(func_def_203,type,
sK101: $int > $int ).
tff(func_def_204,type,
sK102: $int ).
tff(func_def_205,type,
sK103: $int ).
tff(func_def_206,type,
sK104: set_2 ).
tff(func_def_207,type,
sK105: set_2 ).
tff(func_def_208,type,
sK106: $int > $int ).
tff(func_def_209,type,
sK107: $int > $int ).
tff(func_def_210,type,
sK108: set_2 ).
tff(func_def_211,type,
sK109: $int ).
tff(func_def_212,type,
sK110: $int > $int ).
tff(func_def_213,type,
sK111: set_2 ).
tff(func_def_214,type,
sK112: $int > $int ).
tff(func_def_215,type,
sK113: $int ).
tff(func_def_216,type,
sK114: $int ).
tff(func_def_217,type,
sK115: set_2 ).
tff(func_def_218,type,
sK116: $int > $int ).
tff(func_def_219,type,
sK117: $int > $int ).
tff(func_def_220,type,
sK118: $int > $int ).
tff(func_def_221,type,
sK119: $int ).
tff(func_def_222,type,
sK120: set_2 ).
tff(func_def_223,type,
sK121: $int > $int ).
tff(func_def_224,type,
sK122: $int > $int ).
tff(func_def_225,type,
sK123: set_2 ).
tff(func_def_226,type,
sK124: $int > $int ).
tff(func_def_227,type,
sK125: $int ).
tff(func_def_228,type,
sK126: set_2 ).
tff(func_def_229,type,
sK127: $int ).
tff(func_def_230,type,
sK128: set_2 ).
tff(func_def_231,type,
sK129: $int > $int ).
tff(func_def_232,type,
sK130: $int > $int ).
tff(func_def_233,type,
sK131: $int ).
tff(func_def_234,type,
sK132: set_2 ).
tff(func_def_235,type,
sK133: $int > $int ).
tff(func_def_236,type,
sK134: $int > $int ).
tff(func_def_237,type,
sK135: $int > $int ).
tff(func_def_238,type,
sK136: $int ).
tff(func_def_239,type,
sK137: set_2 ).
tff(func_def_240,type,
sK138: $int > $int ).
tff(func_def_241,type,
sK139: $int > $int ).
tff(func_def_242,type,
sK140: $int ).
tff(func_def_243,type,
sK141: set_2 ).
tff(func_def_244,type,
sK142: $int > $int ).
tff(func_def_245,type,
sK143: $int > $int ).
tff(func_def_246,type,
sK144: $int ).
tff(func_def_247,type,
sK145: $int > $int ).
tff(func_def_248,type,
sK146: set_2 ).
tff(func_def_249,type,
sK147: $int > $int ).
tff(func_def_250,type,
sK148: $int ).
tff(func_def_251,type,
sK149: $int > $int ).
tff(func_def_252,type,
sK150: set_2 ).
tff(func_def_253,type,
sK151: $int > $int ).
tff(func_def_254,type,
sK152: $int ).
tff(func_def_255,type,
sK153: $int ).
tff(func_def_256,type,
sK154: set_2 ).
tff(func_def_257,type,
sK155: set_2 ).
tff(func_def_258,type,
sK156: $int > $int ).
tff(func_def_259,type,
sK157: $int > $int ).
tff(func_def_260,type,
sK158: set_2 ).
tff(func_def_261,type,
sK159: $int > $int ).
tff(func_def_262,type,
sK160: set_2 ).
tff(func_def_263,type,
sK161: $int > $int ).
tff(func_def_264,type,
sK162: set_2 ).
tff(func_def_265,type,
sK163: $int > $int ).
tff(func_def_266,type,
sK164: $int ).
tff(func_def_267,type,
sK165: $int > $int ).
tff(func_def_268,type,
sK166: set_2 ).
tff(func_def_269,type,
sK167: $int > $int ).
tff(func_def_270,type,
sK168: $int ).
tff(func_def_271,type,
sK169: $int > $int ).
tff(func_def_272,type,
sK170: set_2 ).
tff(func_def_273,type,
sK171: $int > $int ).
tff(func_def_274,type,
sK172: set_2 ).
tff(func_def_275,type,
sK173: $int > $int ).
tff(func_def_276,type,
sK174: $int ).
tff(func_def_277,type,
sK175: $int ).
tff(func_def_278,type,
sK176: set_2 ).
tff(func_def_279,type,
sK177: set_2 ).
tff(func_def_280,type,
sK178: $int > $int ).
tff(func_def_281,type,
sK179: $int > $int ).
tff(func_def_282,type,
sK180: $int ).
tff(func_def_283,type,
sK181: set_2 ).
tff(func_def_284,type,
sK182: $int > $int ).
tff(func_def_285,type,
sK183: $int > $int ).
tff(func_def_286,type,
sK184: $int ).
tff(func_def_287,type,
sK185: $int > $int ).
tff(func_def_288,type,
sK186: set_2 ).
tff(func_def_289,type,
sK187: $int > $int ).
tff(func_def_290,type,
sK188: set_2 ).
tff(func_def_291,type,
sK189: $int > $int ).
tff(func_def_292,type,
sK190: $int ).
tff(func_def_293,type,
sK191: set_2 ).
tff(func_def_294,type,
sK192: $int ).
tff(func_def_295,type,
sK193: $int > $int ).
tff(func_def_296,type,
sK194: set_2 ).
tff(func_def_297,type,
sK195: $int > $int ).
tff(func_def_298,type,
sK196: set_2 ).
tff(func_def_299,type,
sK197: $int > $int ).
tff(func_def_300,type,
sK198: $int ).
tff(func_def_301,type,
sK199: $int ).
tff(func_def_302,type,
sK200: set_2 ).
tff(func_def_303,type,
sK201: $int > $int ).
tff(func_def_304,type,
sK202: set_2 ).
tff(func_def_305,type,
sK203: $int > $int ).
tff(pred_def_1,type,
mem0: ( $int * set_0 ) > $o ).
tff(pred_def_2,type,
mem2: ( $int * $int * set_2 ) > $o ).
tff(f127,axiom,
? [X0: set_2] :
( ! [X6: $int] :
( mem0(X6,g_s65_65)
<=> ? [X7: $int] : mem2(X6,X7,X0) )
& ! [X3: $int,X5: $int,X4: $int] :
( ( mem2(X3,X4,X0)
& mem2(X3,X5,X0) )
=> ( X4 = X5 ) )
& ! [X8: $int] :
( ? [X9: $int] : mem2(X9,X8,X0)
=> mem0(X8,g_s6_6) )
& ! [X2: $int,X1: $int] :
( mem2(X2,X1,g_s104_89)
<=> mem2(X2,X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Define:imprp:14') ).
tff(f140,conjecture,
( ! [X0: $int,X1: $int] :
( ( mem2(X1,X0,g_s104_89)
& mem0(X0,g_s37_37)
& mem0(X1,g_s66_66) )
=> ( mem0(X1,g_s66_66)
& mem0(X0,g_s37_37) ) )
& ! [X4: $int,X2: $int,X3: $int] :
( ( mem2(X2,X3,g_s104_89)
& mem0(X4,g_s37_37)
& mem0(X2,g_s66_66)
& mem0(X2,g_s66_66)
& mem2(X2,X4,g_s104_89)
& mem0(X3,g_s37_37) )
=> ( X3 = X4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Goal') ).
tff(f141,negated_conjecture,
~ ( ! [X0: $int,X1: $int] :
( ( mem2(X1,X0,g_s104_89)
& mem0(X0,g_s37_37)
& mem0(X1,g_s66_66) )
=> ( mem0(X1,g_s66_66)
& mem0(X0,g_s37_37) ) )
& ! [X4: $int,X2: $int,X3: $int] :
( ( mem2(X2,X3,g_s104_89)
& mem0(X4,g_s37_37)
& mem0(X2,g_s66_66)
& mem0(X2,g_s66_66)
& mem2(X2,X4,g_s104_89)
& mem0(X3,g_s37_37) )
=> ( X3 = X4 ) ) ),
inference(negated_conjecture,[status(cth)],[f140]) ).
tff(f213,plain,
~ ( ! [X4: $int,X2: $int,X3: $int] :
( ( mem2(X3,X4,g_s104_89)
& mem0(X2,g_s37_37)
& mem0(X3,g_s66_66)
& mem0(X4,g_s37_37)
& mem0(X3,g_s66_66)
& mem2(X3,X2,g_s104_89) )
=> ( X2 = X4 ) )
& ! [X0: $int,X1: $int] :
( ( mem2(X1,X0,g_s104_89)
& mem0(X0,g_s37_37)
& mem0(X1,g_s66_66) )
=> ( mem0(X1,g_s66_66)
& mem0(X0,g_s37_37) ) ) ),
inference(rectify,[],[f141]) ).
tff(f269,plain,
? [X0: set_2] :
( ! [X5: $int,X4: $int,X3: $int] :
( ( mem2(X3,X4,X0)
& mem2(X3,X5,X0) )
=> ( X4 = X5 ) )
& ! [X6: $int] :
( ? [X7: $int] : mem2(X7,X6,X0)
=> mem0(X6,g_s6_6) )
& ! [X1: $int] :
( mem0(X1,g_s65_65)
<=> ? [X2: $int] : mem2(X1,X2,X0) )
& ! [X9: $int,X8: $int] :
( mem2(X8,X9,g_s104_89)
<=> mem2(X8,X9,X0) ) ),
inference(rectify,[],[f127]) ).
tff(f344,plain,
? [X0: set_2] :
( ! [X5: $int,X4: $int,X3: $int] :
( ( X4 = X5 )
| ~ mem2(X3,X4,X0)
| ~ mem2(X3,X5,X0) )
& ! [X6: $int] :
( ! [X7: $int] : ~ mem2(X7,X6,X0)
| mem0(X6,g_s6_6) )
& ! [X1: $int] :
( mem0(X1,g_s65_65)
<=> ? [X2: $int] : mem2(X1,X2,X0) )
& ! [X9: $int,X8: $int] :
( mem2(X8,X9,g_s104_89)
<=> mem2(X8,X9,X0) ) ),
inference(ennf_transformation,[],[f269]) ).
tff(f345,plain,
? [X0: set_2] :
( ! [X5: $int,X3: $int,X4: $int] :
( ( X4 = X5 )
| ~ mem2(X3,X5,X0)
| ~ mem2(X3,X4,X0) )
& ! [X6: $int] :
( ! [X7: $int] : ~ mem2(X7,X6,X0)
| mem0(X6,g_s6_6) )
& ! [X9: $int,X8: $int] :
( mem2(X8,X9,g_s104_89)
<=> mem2(X8,X9,X0) )
& ! [X1: $int] :
( mem0(X1,g_s65_65)
<=> ? [X2: $int] : mem2(X1,X2,X0) ) ),
inference(flattening,[],[f344]) ).
tff(f443,plain,
( ? [X4: $int,X2: $int,X3: $int] :
( ( X2 != X4 )
& mem2(X3,X4,g_s104_89)
& mem0(X2,g_s37_37)
& mem0(X3,g_s66_66)
& mem0(X4,g_s37_37)
& mem0(X3,g_s66_66)
& mem2(X3,X2,g_s104_89) )
| ? [X0: $int,X1: $int] :
( ( ~ mem0(X1,g_s66_66)
| ~ mem0(X0,g_s37_37) )
& mem2(X1,X0,g_s104_89)
& mem0(X0,g_s37_37)
& mem0(X1,g_s66_66) ) ),
inference(ennf_transformation,[],[f213]) ).
tff(f444,plain,
( ? [X4: $int,X3: $int,X2: $int] :
( mem2(X3,X2,g_s104_89)
& mem2(X3,X4,g_s104_89)
& mem0(X3,g_s66_66)
& mem0(X2,g_s37_37)
& ( X2 != X4 )
& mem0(X4,g_s37_37)
& mem0(X3,g_s66_66) )
| ? [X1: $int,X0: $int] :
( mem0(X1,g_s66_66)
& ( ~ mem0(X1,g_s66_66)
| ~ mem0(X0,g_s37_37) )
& mem2(X1,X0,g_s104_89)
& mem0(X0,g_s37_37) ) ),
inference(flattening,[],[f443]) ).
tff(f539,plain,
( ? [X0: $int,X1: $int,X2: $int] :
( mem2(X1,X2,g_s104_89)
& mem2(X1,X0,g_s104_89)
& mem0(X1,g_s66_66)
& mem0(X2,g_s37_37)
& ( X0 != X2 )
& mem0(X0,g_s37_37)
& mem0(X1,g_s66_66) )
| ? [X3: $int,X4: $int] :
( mem0(X3,g_s66_66)
& ( ~ mem0(X3,g_s66_66)
| ~ mem0(X4,g_s37_37) )
& mem2(X3,X4,g_s104_89)
& mem0(X4,g_s37_37) ) ),
inference(rectify,[],[f444]) ).
tff(f540,plain,
( ( mem2(sK68,sK69,g_s104_89)
& mem2(sK68,sK67,g_s104_89)
& mem0(sK68,g_s66_66)
& mem0(sK69,g_s37_37)
& ( sK69 != sK67 )
& mem0(sK67,g_s37_37)
& mem0(sK68,g_s66_66) )
| ( mem0(sK70,g_s66_66)
& ( ~ mem0(sK70,g_s66_66)
| ~ mem0(sK71,g_s37_37) )
& mem2(sK70,sK71,g_s104_89)
& mem0(sK71,g_s37_37) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK67,sK68,sK69,sK70,sK71]),skolemize(X0,sK67),skolemize(X1,sK68),skolemize(X2,sK69),skolemize(X3,sK70),skolemize(X4,sK71)],[f539]) ).
tff(f561,plain,
? [X0: set_2] :
( ! [X5: $int,X3: $int,X4: $int] :
( ( X4 = X5 )
| ~ mem2(X3,X5,X0)
| ~ mem2(X3,X4,X0) )
& ! [X6: $int] :
( ! [X7: $int] : ~ mem2(X7,X6,X0)
| mem0(X6,g_s6_6) )
& ! [X9: $int,X8: $int] :
( ( mem2(X8,X9,g_s104_89)
| ~ mem2(X8,X9,X0) )
& ( mem2(X8,X9,X0)
| ~ mem2(X8,X9,g_s104_89) ) )
& ! [X1: $int] :
( ( mem0(X1,g_s65_65)
| ! [X2: $int] : ~ mem2(X1,X2,X0) )
& ( ? [X2: $int] : mem2(X1,X2,X0)
| ~ mem0(X1,g_s65_65) ) ) ),
inference(nnf_transformation,[],[f345]) ).
tff(f562,plain,
? [X0: set_2] :
( ! [X1: $int,X2: $int,X3: $int] :
( ( X1 = X3 )
| ~ mem2(X2,X1,X0)
| ~ mem2(X2,X3,X0) )
& ! [X4: $int] :
( ! [X5: $int] : ~ mem2(X5,X4,X0)
| mem0(X4,g_s6_6) )
& ! [X6: $int,X7: $int] :
( ( mem2(X7,X6,g_s104_89)
| ~ mem2(X7,X6,X0) )
& ( mem2(X7,X6,X0)
| ~ mem2(X7,X6,g_s104_89) ) )
& ! [X8: $int] :
( ( mem0(X8,g_s65_65)
| ! [X9: $int] : ~ mem2(X8,X9,X0) )
& ( ? [X10: $int] : mem2(X8,X10,X0)
| ~ mem0(X8,g_s65_65) ) ) ),
inference(rectify,[],[f561]) ).
tff(f563,plain,
( ! [X1: $int,X2: $int,X3: $int] :
( ( X1 = X3 )
| ~ mem2(X2,X1,sK96)
| ~ mem2(X2,X3,sK96) )
& ! [X4: $int] :
( ! [X5: $int] : ~ mem2(X5,X4,sK96)
| mem0(X4,g_s6_6) )
& ! [X6: $int,X7: $int] :
( ( mem2(X7,X6,g_s104_89)
| ~ mem2(X7,X6,sK96) )
& ( mem2(X7,X6,sK96)
| ~ mem2(X7,X6,g_s104_89) ) )
& ! [X8: $int] :
( ( mem0(X8,g_s65_65)
| ! [X9: $int] : ~ mem2(X8,X9,sK96) )
& ( mem2(X8,sK97(X8),sK96)
| ~ mem0(X8,g_s65_65) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK96,sK97]),skolemize(X0,sK96),skolemize(X10,sK97(X8))],[f562]) ).
tff(f885,plain,
( mem0(sK71,g_s37_37)
| ( sK69 != sK67 ) ),
inference(cnf_transformation,[],[f540]) ).
tff(f887,plain,
( ( sK69 != sK67 )
| ~ mem0(sK70,g_s66_66)
| ~ mem0(sK71,g_s37_37) ),
inference(cnf_transformation,[],[f540]) ).
tff(f888,plain,
( ( sK69 != sK67 )
| mem0(sK70,g_s66_66) ),
inference(cnf_transformation,[],[f540]) ).
tff(f897,plain,
( mem2(sK68,sK67,g_s104_89)
| mem0(sK71,g_s37_37) ),
inference(cnf_transformation,[],[f540]) ).
tff(f899,plain,
( ~ mem0(sK71,g_s37_37)
| mem2(sK68,sK67,g_s104_89)
| ~ mem0(sK70,g_s66_66) ),
inference(cnf_transformation,[],[f540]) ).
tff(f900,plain,
( mem0(sK70,g_s66_66)
| mem2(sK68,sK67,g_s104_89) ),
inference(cnf_transformation,[],[f540]) ).
tff(f901,plain,
( mem0(sK71,g_s37_37)
| mem2(sK68,sK69,g_s104_89) ),
inference(cnf_transformation,[],[f540]) ).
tff(f903,plain,
( ~ mem0(sK70,g_s66_66)
| mem2(sK68,sK69,g_s104_89)
| ~ mem0(sK71,g_s37_37) ),
inference(cnf_transformation,[],[f540]) ).
tff(f904,plain,
( mem2(sK68,sK69,g_s104_89)
| mem0(sK70,g_s66_66) ),
inference(cnf_transformation,[],[f540]) ).
tff(f965,plain,
! [X8: $int] :
( mem2(X8,sK97(X8),sK96)
| ~ mem0(X8,g_s65_65) ),
inference(cnf_transformation,[],[f563]) ).
tff(f966,plain,
! [X8: $int,X9: $int] :
( ~ mem2(X8,X9,sK96)
| mem0(X8,g_s65_65) ),
inference(cnf_transformation,[],[f563]) ).
tff(f967,plain,
! [X6: $int,X7: $int] :
( mem2(X7,X6,sK96)
| ~ mem2(X7,X6,g_s104_89) ),
inference(cnf_transformation,[],[f563]) ).
tff(f970,plain,
! [X2: $int,X3: $int,X1: $int] :
( ~ mem2(X2,X3,sK96)
| ~ mem2(X2,X1,sK96)
| ( X1 = X3 ) ),
inference(cnf_transformation,[],[f563]) ).
tff(f1306,definition,
( spl204_2
<=> ( sK69 = sK67 ) ),
introduced(definition,[new_symbols(definition,[spl204_2])],[avatar_definition]) ).
tff(f1310,definition,
( spl204_3
<=> mem0(sK70,g_s66_66) ),
introduced(definition,[new_symbols(definition,[spl204_3])],[avatar_definition]) ).
tff(f1313,plain,
( ~ spl204_2
| spl204_3 ),
inference(avatar_split_clause,[],[f888,f1310,f1306]) ).
tff(f1352,definition,
( spl204_12
<=> mem0(sK71,g_s37_37) ),
introduced(definition,[new_symbols(definition,[spl204_12])],[avatar_definition]) ).
tff(f1377,definition,
( spl204_17
<=> mem2(sK68,sK67,g_s104_89) ),
introduced(definition,[new_symbols(definition,[spl204_17])],[avatar_definition]) ).
tff(f1379,plain,
( mem2(sK68,sK67,g_s104_89)
| ~ spl204_17 ),
inference(avatar_component_clause,[],[f1377]) ).
tff(f1380,plain,
( spl204_3
| spl204_17 ),
inference(avatar_split_clause,[],[f900,f1377,f1310]) ).
tff(f1391,plain,
( spl204_12
| ~ spl204_2 ),
inference(avatar_split_clause,[],[f885,f1306,f1352]) ).
tff(f1479,plain,
( spl204_17
| ~ spl204_12
| ~ spl204_3 ),
inference(avatar_split_clause,[],[f899,f1310,f1352,f1377]) ).
tff(f1491,plain,
( spl204_17
| spl204_12 ),
inference(avatar_split_clause,[],[f897,f1352,f1377]) ).
tff(f1542,plain,
( ~ spl204_3
| ~ spl204_12
| ~ spl204_2 ),
inference(avatar_split_clause,[],[f887,f1306,f1352,f1310]) ).
tff(f1620,definition,
( spl204_63
<=> mem2(sK68,sK69,g_s104_89) ),
introduced(definition,[new_symbols(definition,[spl204_63])],[avatar_definition]) ).
tff(f1622,plain,
( mem2(sK68,sK69,g_s104_89)
| ~ spl204_63 ),
inference(avatar_component_clause,[],[f1620]) ).
tff(f1623,plain,
( spl204_63
| spl204_12 ),
inference(avatar_split_clause,[],[f901,f1352,f1620]) ).
tff(f1625,plain,
( ~ spl204_3
| ~ spl204_12
| spl204_63 ),
inference(avatar_split_clause,[],[f903,f1620,f1352,f1310]) ).
tff(f1647,plain,
( spl204_3
| spl204_63 ),
inference(avatar_split_clause,[],[f904,f1620,f1310]) ).
tff(f2420,plain,
! [X0: $int,X1: $int] :
( ~ mem2(X0,X1,sK96)
| ( sK97(X0) = X1 )
| ~ mem0(X0,g_s65_65) ),
inference(resolution,[],[f970,f965]) ).
tff(f2421,plain,
! [X0: $int,X1: $int] :
( ~ mem2(X0,X1,sK96)
| ( sK97(X0) = X1 ) ),
inference(forward_subsumption_resolution,[],[f2420,f966]) ).
tff(f2798,plain,
! [X0: $int,X1: $int] :
( ~ mem2(X0,X1,g_s104_89)
| ( sK97(X0) = X1 ) ),
inference(resolution,[],[f2421,f967]) ).
tff(f2979,plain,
( ( sK97(sK68) = sK67 )
| ~ spl204_17 ),
inference(resolution,[],[f2798,f1379]) ).
tff(f2980,plain,
( ( sK69 = sK97(sK68) )
| ~ spl204_63 ),
inference(resolution,[],[f2798,f1622]) ).
tff(f2982,definition,
( spl204_74
<=> ( sK69 = sK97(sK68) ) ),
introduced(definition,[new_symbols(definition,[spl204_74])],[avatar_definition]) ).
tff(f2985,plain,
( spl204_74
| ~ spl204_63 ),
inference(avatar_split_clause,[],[f2980,f1620,f2982]) ).
tff(f2987,definition,
( spl204_75
<=> ( sK97(sK68) = sK67 ) ),
introduced(definition,[new_symbols(definition,[spl204_75])],[avatar_definition]) ).
tff(f2990,plain,
( spl204_75
| ~ spl204_17 ),
inference(avatar_split_clause,[],[f2979,f1377,f2987]) ).
tff(f2991,plain,
$false,
inference(avatar_smt_refutation,[],[f2990,f2985,f1647,f1625,f1623,f1542,f1491,f1479,f1391,f1380,f1313]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC539_1 : TPTP v9.3.1. Bugfixed v9.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n017.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 09:37:21 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 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
% 3.58/1.18 % (3436617)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.58/1.18 % (3436666)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=197061260:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.58/1.18 % (3436669)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1057961190:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.58/1.18 % (3436664)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=441234926:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.58/1.18 % (3436667)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=4272115051:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.58/1.18 % (3436668)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3379314314:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.58/1.18 % (3436665)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2017995263:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.58/1.18 % (3436668)Instruction limit reached!
% 3.58/1.18 % (3436668)------------------------------
% 3.58/1.18 % (3436668)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.18 % (3436668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.18 % (3436668)CaDiCaL version: 2.1.3
% 3.58/1.18 % (3436668)Termination reason: Instruction limit
% 3.58/1.18 % (3436668)Termination phase: Preprocessing 1
% 3.58/1.18 % (3436668)Time elapsed: 0.003 s
% 3.58/1.18 % (3436668)Peak memory usage: 86 MB
% 3.58/1.18 % (3436668)Instructions burned: 5 (million)
% 3.58/1.18 % (3436667)Instruction limit reached!
% 3.58/1.18 % (3436667)------------------------------
% 3.58/1.18 % (3436667)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.18 % (3436667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.18 % (3436667)CaDiCaL version: 2.1.3
% 3.58/1.18 % (3436667)Termination reason: Instruction limit
% 3.58/1.18 % (3436667)Termination phase: Preprocessing 1
% 3.58/1.18 % (3436667)Time elapsed: 0.004 s
% 3.58/1.18 % (3436667)Peak memory usage: 86 MB
% 3.58/1.18 % (3436667)Instructions burned: 7 (million)
% 3.58/1.18 % (3436664)Instruction limit reached!
% 3.58/1.18 % (3436664)------------------------------
% 3.58/1.18 % (3436664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.18 % (3436664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.18 % (3436664)CaDiCaL version: 2.1.3
% 3.58/1.18 % (3436664)Termination reason: Instruction limit
% 3.58/1.18 % (3436664)Termination phase: Preprocessing 2
% 3.58/1.18 % (3436664)Time elapsed: 0.007 s
% 3.58/1.18 % (3436664)Peak memory usage: 86 MB
% 3.58/1.18 % (3436664)Instructions burned: 13 (million)
% 3.58/1.18 % (3436670)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1514217274:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.58/1.18 % (3436669)Instruction limit reached!
% 3.58/1.18 % (3436669)------------------------------
% 3.58/1.18 % (3436669)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.18 % (3436669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.18 % (3436669)CaDiCaL version: 2.1.3
% 3.58/1.18 % (3436669)Termination reason: Instruction limit
% 3.58/1.18 % (3436669)Termination phase: Saturation
% 3.58/1.18 % (3436669)Time elapsed: 0.051 s
% 3.58/1.18 % (3436669)Peak memory usage: 116 MB
% 3.58/1.18 % (3436669)Instructions burned: 46 (million)
% 3.58/1.18 % (3436666)Instruction limit reached!
% 3.58/1.18 % (3436666)------------------------------
% 3.58/1.18 % (3436666)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.18 % (3436666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.18 % (3436666)CaDiCaL version: 2.1.3
% 3.58/1.18 % (3436666)Termination reason: Instruction limit
% 3.58/1.18 % (3436666)Termination phase: Saturation
% 3.58/1.18 % (3436666)Time elapsed: 0.096 s
% 3.58/1.18 % (3436666)Peak memory usage: 118 MB
% 3.58/1.18 % (3436666)Instructions burned: 202 (million)
% 3.58/1.18 % (3436670)Instruction limit reached!
% 3.58/1.18 % (3436670)------------------------------
% 3.58/1.18 % (3436670)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.18 % (3436670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.19 % (3436670)CaDiCaL version: 2.1.3
% 3.58/1.19 % (3436670)Termination reason: Instruction limit
% 3.58/1.19 % (3436670)Termination phase: Saturation
% 3.58/1.19 % (3436670)Time elapsed: 0.041 s
% 3.58/1.19 % (3436670)Peak memory usage: 113 MB
% 3.58/1.19 % (3436670)Instructions burned: 34 (million)
% 3.58/1.19 % (3436677)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=2653661867:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.58/1.19 % (3436679)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=58125876:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 3.58/1.19 % (3436665)First to succeed.
% 3.58/1.19 % (3436665)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3436617"
% 3.58/1.19 % (3436678)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=1860160562:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.58/1.19 % (3436682)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=1442959734:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 3.58/1.19 % (3436677)Instruction limit reached!
% 3.58/1.19 % (3436677)------------------------------
% 3.58/1.19 % (3436677)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.19 % (3436677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.19 % (3436677)CaDiCaL version: 2.1.3
% 3.58/1.19 % (3436677)Termination reason: Instruction limit
% 3.58/1.19 % (3436677)Termination phase: Property scanning
% 3.58/1.19 % (3436677)Time elapsed: 0.010 s
% 3.58/1.19 % (3436677)Peak memory usage: 87 MB
% 3.58/1.19 % (3436677)Instructions burned: 15 (million)
% 3.58/1.19 % (3436679)Instruction limit reached!
% 3.58/1.19 % (3436679)------------------------------
% 3.58/1.19 % (3436679)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.19 % (3436679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.19 % (3436679)CaDiCaL version: 2.1.3
% 3.58/1.19 % (3436679)Termination reason: Instruction limit
% 3.58/1.19 % (3436679)Termination phase: Property scanning
% 3.58/1.19 % (3436679)Time elapsed: 0.011 s
% 3.58/1.19 % (3436679)Peak memory usage: 87 MB
% 3.58/1.19 % (3436679)Instructions burned: 17 (million)
% 3.58/1.19 % (3436682)Instruction limit reached!
% 3.58/1.19 % (3436682)------------------------------
% 3.58/1.19 % (3436682)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.19 % (3436682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.19 % (3436682)CaDiCaL version: 2.1.3
% 3.58/1.19 % (3436682)Termination reason: Instruction limit
% 3.58/1.19 % (3436682)Termination phase: Saturation
% 3.58/1.19 % (3436682)Time elapsed: 0.009 s
% 3.58/1.19 % (3436682)Peak memory usage: 89 MB
% 3.58/1.19 % (3436682)Instructions burned: 28 (million)
% 3.58/1.19 % (3436678)Instruction limit reached!
% 3.58/1.19 % (3436678)------------------------------
% 3.58/1.19 % (3436678)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.19 % (3436678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.19 % (3436678)CaDiCaL version: 2.1.3
% 3.58/1.19 % (3436678)Termination reason: Instruction limit
% 3.58/1.19 % (3436678)Termination phase: Saturation
% 3.58/1.19 % (3436678)Time elapsed: 0.017 s
% 3.58/1.19 % (3436678)Peak memory usage: 90 MB
% 3.58/1.19 % (3436678)Instructions burned: 29 (million)
% 3.58/1.19 % (3436681)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=1856103313:i=24:canc=force:rtra=on_2998 on theBenchmark for (2998ds/24Mi)
% 3.58/1.19 % (3436683)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=1711166485:i=85:gtgl=4:rtra=on:gtg=exists_sym_2997 on theBenchmark for (2997ds/85Mi)
% 3.58/1.19 % (3436681)Instruction limit reached!
% 3.58/1.19 % (3436681)------------------------------
% 3.58/1.19 % (3436681)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.19 % (3436681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.19 % (3436681)CaDiCaL version: 2.1.3
% 3.58/1.19 % (3436681)Termination reason: Instruction limit
% 3.58/1.19 % (3436681)Termination phase: Saturation
% 3.58/1.19 % (3436681)Time elapsed: 0.014 s
% 3.58/1.19 % (3436681)Peak memory usage: 88 MB
% 3.58/1.19 % (3436681)Instructions burned: 24 (million)
% 3.58/1.19 % (3436690)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=395516817:i=4:ep=RST:ins=2:rtra=on_2997 on theBenchmark for (2997ds/4Mi)
% 3.58/1.19 % (3436690)Instruction limit reached!
% 3.58/1.19 % (3436690)------------------------------
% 3.58/1.19 % (3436690)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.19 % (3436690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.19 % (3436690)CaDiCaL version: 2.1.3
% 3.58/1.19 % (3436690)Termination reason: Instruction limit
% 3.58/1.19 % (3436690)Termination phase: Preprocessing 1
% 3.58/1.19 % (3436690)Time elapsed: 0.002 s
% 3.58/1.19 % (3436690)Peak memory usage: 86 MB
% 3.58/1.19 % (3436690)Instructions burned: 5 (million)
% 3.58/1.19 % (3436683)Instruction limit reached!
% 3.58/1.19 % (3436683)------------------------------
% 3.58/1.19 % (3436683)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.19 % (3436683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.19 % (3436683)CaDiCaL version: 2.1.3
% 3.58/1.19 % (3436683)Termination reason: Instruction limit
% 3.58/1.19 % (3436683)Termination phase: Saturation
% 3.58/1.19 % (3436683)Time elapsed: 0.053 s
% 3.58/1.19 % (3436683)Peak memory usage: 90 MB
% 3.58/1.19 % (3436683)Instructions burned: 85 (million)
% 3.58/1.19 % (3436689)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=2127019801:i=181:rtra=on:ss=axioms:ev=cautious_2997 on theBenchmark for (2997ds/181Mi)
% 3.58/1.19 % (3436688)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=2775919233:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2997 on theBenchmark for (2997ds/2Mi)
% 3.58/1.19 % (3436688)Instruction limit reached!
% 3.58/1.19 % (3436688)------------------------------
% 3.58/1.19 % (3436688)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.19 % (3436688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.19 % (3436688)CaDiCaL version: 2.1.3
% 3.58/1.19 % (3436688)Termination reason: Instruction limit
% 3.58/1.19 % (3436688)Termination phase: Including theory axioms
% 3.58/1.19 % (3436688)Time elapsed: 0.002 s
% 3.58/1.19 % (3436688)Peak memory usage: 85 MB
% 3.58/1.19 % (3436688)Instructions burned: 3 (million)
% 3.58/1.19 % (3436689)Also succeeded, but the first one will report.
% 3.58/1.19 % (3436691)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=2615485355:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2996 on theBenchmark for (2996ds/66Mi)
% 3.58/1.19 % (3436696)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=1635515211:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2996 on theBenchmark for (2996ds/8Mi)
% 3.58/1.19 % (3436696)Instruction limit reached!
% 3.58/1.19 % (3436696)------------------------------
% 3.58/1.19 % (3436696)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.19 % (3436696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.19 % (3436696)CaDiCaL version: 2.1.3
% 3.58/1.19 % (3436696)Termination reason: Instruction limit
% 3.58/1.19 % (3436696)Termination phase: shuffling
% 3.58/1.19 % (3436696)Time elapsed: 0.003 s
% 3.58/1.19 % (3436696)Peak memory usage: 86 MB
% 3.58/1.19 % (3436696)Instructions burned: 11 (million)
% 3.58/1.19 % (3436694)lrs+10_1_thi=all:si=on:fd=off:random_seed=1103590634:i=53:rtra=on:gtg=all_2996 on theBenchmark for (2996ds/53Mi)
% 3.58/1.19 % (3436691)Instruction limit reached!
% 3.58/1.19 % (3436691)------------------------------
% 3.58/1.19 % (3436691)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.19 % (3436691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.19 % (3436691)CaDiCaL version: 2.1.3
% 3.58/1.19 % (3436691)Termination reason: Instruction limit
% 3.58/1.19 % (3436691)Termination phase: Saturation
% 3.58/1.19 % (3436691)Time elapsed: 0.080 s
% 3.58/1.19 % (3436691)Peak memory usage: 135 MB
% 3.58/1.19 % (3436691)Instructions burned: 66 (million)
% 3.58/1.19 % (3436694)Instruction limit reached!
% 3.58/1.19 % (3436694)------------------------------
% 3.58/1.19 % (3436694)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.19 % (3436694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.19 % (3436694)CaDiCaL version: 2.1.3
% 3.58/1.19 % (3436694)Termination reason: Instruction limit
% 3.58/1.19 % (3436694)Termination phase: Saturation
% 3.58/1.19 % (3436694)Time elapsed: 0.053 s
% 3.58/1.19 % (3436694)Peak memory usage: 117 MB
% 3.58/1.19 % (3436694)Instructions burned: 53 (million)
% 3.58/1.19 % (3436665)Refutation found. Thanks to Tanya!
% 3.58/1.19 % SZS status Theorem for theBenchmark
% 3.58/1.19 % SZS output start Proof for theBenchmark
% See solution above
% 4.37/1.39 % (3436665)------------------------------
% 4.37/1.39 % (3436665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.37/1.39 % (3436665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.37/1.39 % (3436665)CaDiCaL version: 2.1.3
% 4.37/1.39 % (3436665)Termination reason: Refutation
% 4.37/1.39 % (3436665)Time elapsed: 0.129 s
% 4.37/1.39 % (3436665)Peak memory usage: 119 MB
% 4.37/1.39 % (3436665)Instructions burned: 168 (million)
% 4.37/1.39 % (3436665)------------------------------
% 4.37/1.39 % (3436665)------------------------------
% 4.37/1.39 % (3436617)Success in time 0.542 s
% 4.37/1.39 % Vampire exiting
%------------------------------------------------------------------------------