%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC539_1 : TPTP v9.3.1. Bugfixed v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:06:14 PM UTC 2026
% Result : Theorem 0.18s 0.37s
% Output : Refutation 1.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 58 ( 7 unt; 0 typ; 5 def)
% Number of atoms : 186 ( 15 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 187 ( 59 ~; 65 |; 46 &)
% ( 11 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number arithmetic : 53 ( 0 atm; 0 fun; 0 num; 53 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 : 9 ( 7 usr; 6 prp; 0-3 aty)
% Number of functors : 301 ( 301 usr; 214 con; 0-1 aty)
% Number of variables : 56 ( 0 sgn 39 !; 17 ?; 56 :)
% 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_103,type,
sK0: $int ).
tff(func_def_104,type,
sK1: set_2 ).
tff(func_def_105,type,
sK2: $int ).
tff(func_def_106,type,
sK3: set_2 ).
tff(func_def_107,type,
sK4: $int > $int ).
tff(func_def_108,type,
sK5: $int > $int ).
tff(func_def_109,type,
sK6: $int ).
tff(func_def_110,type,
sK7: set_2 ).
tff(func_def_111,type,
sK8: $int ).
tff(func_def_112,type,
sK9: set_2 ).
tff(func_def_113,type,
sK10: $int > $int ).
tff(func_def_114,type,
sK11: $int > $int ).
tff(func_def_115,type,
sK12: $int ).
tff(func_def_116,type,
sK13: set_2 ).
tff(func_def_117,type,
sK14: $int ).
tff(func_def_118,type,
sK15: set_2 ).
tff(func_def_119,type,
sK16: $int > $int ).
tff(func_def_120,type,
sK17: $int > $int ).
tff(func_def_121,type,
sK18: $int ).
tff(func_def_122,type,
sK19: set_2 ).
tff(func_def_123,type,
sK20: $int > $int ).
tff(func_def_124,type,
sK21: $int > $int ).
tff(func_def_125,type,
sK22: $int ).
tff(func_def_126,type,
sK23: set_2 ).
tff(func_def_127,type,
sK24: $int > $int ).
tff(func_def_128,type,
sK25: $int > $int ).
tff(func_def_129,type,
sK26: $int ).
tff(func_def_130,type,
sK27: set_2 ).
tff(func_def_131,type,
sK28: $int ).
tff(func_def_132,type,
sK29: set_2 ).
tff(func_def_133,type,
sK30: $int > $int ).
tff(func_def_134,type,
sK31: $int > $int ).
tff(func_def_135,type,
sK32: $int ).
tff(func_def_136,type,
sK33: set_2 ).
tff(func_def_137,type,
sK34: $int > $int ).
tff(func_def_138,type,
sK35: $int > $int ).
tff(func_def_139,type,
sK36: $int ).
tff(func_def_140,type,
sK37: set_2 ).
tff(func_def_141,type,
sK38: $int > $int ).
tff(func_def_142,type,
sK39: $int > $int ).
tff(func_def_143,type,
sK40: $int ).
tff(func_def_144,type,
sK41: set_2 ).
tff(func_def_145,type,
sK42: $int ).
tff(func_def_146,type,
sK43: set_2 ).
tff(func_def_147,type,
sK44: $int > $int ).
tff(func_def_148,type,
sK45: $int > $int ).
tff(func_def_149,type,
sK46: $int ).
tff(func_def_150,type,
sK47: set_2 ).
tff(func_def_151,type,
sK48: $int ).
tff(func_def_152,type,
sK49: set_2 ).
tff(func_def_153,type,
sK50: $int > $int ).
tff(func_def_154,type,
sK51: $int > $int ).
tff(func_def_155,type,
sK52: $int ).
tff(func_def_156,type,
sK53: set_2 ).
tff(func_def_157,type,
sK54: $int ).
tff(func_def_158,type,
sK55: set_2 ).
tff(func_def_159,type,
sK56: $int > $int ).
tff(func_def_160,type,
sK57: $int > $int ).
tff(func_def_161,type,
sK58: $int ).
tff(func_def_162,type,
sK59: set_2 ).
tff(func_def_163,type,
sK60: $int ).
tff(func_def_164,type,
sK61: set_2 ).
tff(func_def_165,type,
sK62: $int > $int ).
tff(func_def_166,type,
sK63: $int > $int ).
tff(func_def_167,type,
sK64: $int ).
tff(func_def_168,type,
sK65: set_2 ).
tff(func_def_169,type,
sK66: $int > $int ).
tff(func_def_170,type,
sK67: $int > $int ).
tff(func_def_171,type,
sK68: $int ).
tff(func_def_172,type,
sK69: set_2 ).
tff(func_def_173,type,
sK70: $int > $int ).
tff(func_def_174,type,
sK71: $int > $int ).
tff(func_def_175,type,
sK72: $int ).
tff(func_def_176,type,
sK73: set_2 ).
tff(func_def_177,type,
sK74: $int ).
tff(func_def_178,type,
sK75: set_2 ).
tff(func_def_179,type,
sK76: $int > $int ).
tff(func_def_180,type,
sK77: $int > $int ).
tff(func_def_181,type,
sK78: $int ).
tff(func_def_182,type,
sK79: set_2 ).
tff(func_def_183,type,
sK80: $int > $int ).
tff(func_def_184,type,
sK81: $int > $int ).
tff(func_def_185,type,
sK82: $int ).
tff(func_def_186,type,
sK83: set_2 ).
tff(func_def_187,type,
sK84: $int > $int ).
tff(func_def_188,type,
sK85: $int > $int ).
tff(func_def_189,type,
sK86: $int ).
tff(func_def_190,type,
sK87: set_2 ).
tff(func_def_191,type,
sK88: $int ).
tff(func_def_192,type,
sK89: set_2 ).
tff(func_def_193,type,
sK90: $int > $int ).
tff(func_def_194,type,
sK91: $int > $int ).
tff(func_def_195,type,
sK92: $int ).
tff(func_def_196,type,
sK93: set_2 ).
tff(func_def_197,type,
sK94: $int > $int ).
tff(func_def_198,type,
sK95: $int > $int ).
tff(func_def_199,type,
sK96: $int ).
tff(func_def_200,type,
sK97: set_2 ).
tff(func_def_201,type,
sK98: $int > $int ).
tff(func_def_202,type,
sK99: $int > $int ).
tff(func_def_203,type,
sK100: $int ).
tff(func_def_204,type,
sK101: set_2 ).
tff(func_def_205,type,
sK102: $int ).
tff(func_def_206,type,
sK103: set_2 ).
tff(func_def_207,type,
sK104: $int > $int ).
tff(func_def_208,type,
sK105: $int > $int ).
tff(func_def_209,type,
sK106: $int ).
tff(func_def_210,type,
sK107: set_2 ).
tff(func_def_211,type,
sK108: $int > $int ).
tff(func_def_212,type,
sK109: $int > $int ).
tff(func_def_213,type,
sK110: $int ).
tff(func_def_214,type,
sK111: set_2 ).
tff(func_def_215,type,
sK112: $int > $int ).
tff(func_def_216,type,
sK113: $int > $int ).
tff(func_def_217,type,
sK114: set_2 ).
tff(func_def_218,type,
sK115: $int > $int ).
tff(func_def_219,type,
sK116: set_2 ).
tff(func_def_220,type,
sK117: $int > $int ).
tff(func_def_221,type,
sK118: $int ).
tff(func_def_222,type,
sK119: set_2 ).
tff(func_def_223,type,
sK120: $int ).
tff(func_def_224,type,
sK121: set_2 ).
tff(func_def_225,type,
sK122: $int > $int ).
tff(func_def_226,type,
sK123: $int > $int ).
tff(func_def_227,type,
sK124: set_2 ).
tff(func_def_228,type,
sK125: $int > $int ).
tff(func_def_229,type,
sK126: $int ).
tff(func_def_230,type,
sK127: set_2 ).
tff(func_def_231,type,
sK128: $int ).
tff(func_def_232,type,
sK129: set_2 ).
tff(func_def_233,type,
sK130: $int > $int ).
tff(func_def_234,type,
sK131: $int > $int ).
tff(func_def_235,type,
sK132: $int ).
tff(func_def_236,type,
sK133: set_2 ).
tff(func_def_237,type,
sK134: $int > $int ).
tff(func_def_238,type,
sK135: $int > $int ).
tff(func_def_239,type,
sK136: $int ).
tff(func_def_240,type,
sK137: set_2 ).
tff(func_def_241,type,
sK138: $int > $int ).
tff(func_def_242,type,
sK139: $int > $int ).
tff(func_def_243,type,
sK140: $int ).
tff(func_def_244,type,
sK141: set_2 ).
tff(func_def_245,type,
sK142: $int ).
tff(func_def_246,type,
sK143: set_2 ).
tff(func_def_247,type,
sK144: $int > $int ).
tff(func_def_248,type,
sK145: $int > $int ).
tff(func_def_249,type,
sK146: $int ).
tff(func_def_250,type,
sK147: set_2 ).
tff(func_def_251,type,
sK148: $int > $int ).
tff(func_def_252,type,
sK149: $int > $int ).
tff(func_def_253,type,
sK150: $int ).
tff(func_def_254,type,
sK151: set_2 ).
tff(func_def_255,type,
sK152: $int > $int ).
tff(func_def_256,type,
sK153: $int > $int ).
tff(func_def_257,type,
sK154: $int ).
tff(func_def_258,type,
sK155: set_2 ).
tff(func_def_259,type,
sK156: $int ).
tff(func_def_260,type,
sK157: set_2 ).
tff(func_def_261,type,
sK158: $int > $int ).
tff(func_def_262,type,
sK159: $int > $int ).
tff(func_def_263,type,
sK160: $int ).
tff(func_def_264,type,
sK161: set_2 ).
tff(func_def_265,type,
sK162: $int > $int ).
tff(func_def_266,type,
sK163: $int > $int ).
tff(func_def_267,type,
sK164: $int > $int ).
tff(func_def_268,type,
sK165: $int > $int ).
tff(func_def_269,type,
sK166: set_2 ).
tff(func_def_270,type,
sK167: $int > $int ).
tff(func_def_271,type,
sK168: set_2 ).
tff(func_def_272,type,
sK169: $int > $int ).
tff(func_def_273,type,
sK170: set_2 ).
tff(func_def_274,type,
sK171: $int > $int ).
tff(func_def_275,type,
sK172: set_2 ).
tff(func_def_276,type,
sK173: $int > $int ).
tff(func_def_277,type,
sK174: set_2 ).
tff(func_def_278,type,
sK175: $int > $int ).
tff(func_def_279,type,
sK176: set_2 ).
tff(func_def_280,type,
sK177: $int > $int ).
tff(func_def_281,type,
sK178: set_2 ).
tff(func_def_282,type,
sK179: $int > $int ).
tff(func_def_283,type,
sK180: set_2 ).
tff(func_def_284,type,
sK181: $int > $int ).
tff(func_def_285,type,
sK182: set_2 ).
tff(func_def_286,type,
sK183: $int > $int ).
tff(func_def_287,type,
sK184: $int > $int ).
tff(func_def_288,type,
sK185: set_2 ).
tff(func_def_289,type,
sK186: $int > $int ).
tff(func_def_290,type,
sK187: set_2 ).
tff(func_def_291,type,
sK188: $int > $int ).
tff(func_def_292,type,
sK189: set_2 ).
tff(func_def_293,type,
sK190: $int > $int ).
tff(func_def_294,type,
sK191: set_2 ).
tff(func_def_295,type,
sK192: $int > $int ).
tff(func_def_296,type,
sK193: set_2 ).
tff(func_def_297,type,
sK194: $int > $int ).
tff(func_def_298,type,
sK195: set_2 ).
tff(func_def_299,type,
sK196: $int > $int ).
tff(func_def_300,type,
sK197: set_2 ).
tff(func_def_301,type,
sK198: $int > $int ).
tff(func_def_302,type,
sK199: $int ).
tff(func_def_303,type,
sK200: $int ).
tff(func_def_304,type,
sK201: $int ).
tff(func_def_305,type,
sK202: $int ).
tff(func_def_306,type,
sK203: $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] :
( ! [X1: $int,X2: $int] :
( mem2(X2,X1,X0)
<=> mem2(X2,X1,g_s104_89) )
& ! [X3: $int,X4: $int,X5: $int] :
( ( mem2(X3,X4,X0)
& mem2(X3,X5,X0) )
=> ( X4 = X5 ) )
& ! [X6: $int] :
( mem0(X6,g_s65_65)
<=> ? [X7: $int] : mem2(X6,X7,X0) )
& ! [X8: $int] :
( ? [X9: $int] : mem2(X9,X8,X0)
=> mem0(X8,g_s6_6) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Define:imprp:14') ).
tff(f140,conjecture,
( ! [X0: $int,X1: $int] :
( ( mem2(X1,X0,g_s104_89)
& mem0(X1,g_s66_66)
& mem0(X0,g_s37_37) )
=> ( mem0(X1,g_s66_66)
& mem0(X0,g_s37_37) ) )
& ! [X2: $int,X3: $int,X4: $int] :
( ( mem2(X2,X3,g_s104_89)
& mem0(X2,g_s66_66)
& mem0(X3,g_s37_37)
& mem2(X2,X4,g_s104_89)
& mem0(X2,g_s66_66)
& mem0(X4,g_s37_37) )
=> ( X3 = X4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Goal') ).
tff(f141,negated_conjecture,
~ ( ! [X0: $int,X1: $int] :
( ( mem2(X1,X0,g_s104_89)
& mem0(X1,g_s66_66)
& mem0(X0,g_s37_37) )
=> ( mem0(X1,g_s66_66)
& mem0(X0,g_s37_37) ) )
& ! [X2: $int,X3: $int,X4: $int] :
( ( mem2(X2,X3,g_s104_89)
& mem0(X2,g_s66_66)
& mem0(X3,g_s37_37)
& mem2(X2,X4,g_s104_89)
& mem0(X2,g_s66_66)
& mem0(X4,g_s37_37) )
=> ( X3 = X4 ) ) ),
inference(negated_conjecture,[status(cth)],[f140]) ).
tff(f342,plain,
? [X0: set_2] :
( ! [X1: $int,X2: $int] :
( mem2(X2,X1,X0)
<=> mem2(X2,X1,g_s104_89) )
& ! [X3: $int,X4: $int,X5: $int] :
( ( X4 = X5 )
| ~ mem2(X3,X4,X0)
| ~ mem2(X3,X5,X0) )
& ! [X6: $int] :
( mem0(X6,g_s65_65)
<=> ? [X7: $int] : mem2(X6,X7,X0) )
& ! [X8: $int] :
( mem0(X8,g_s6_6)
| ! [X9: $int] : ~ mem2(X9,X8,X0) ) ),
inference(ennf_transformation,[],[f127]) ).
tff(f343,plain,
? [X0: set_2] :
( ! [X1: $int,X2: $int] :
( mem2(X2,X1,X0)
<=> mem2(X2,X1,g_s104_89) )
& ! [X3: $int,X4: $int,X5: $int] :
( ( X4 = X5 )
| ~ mem2(X3,X4,X0)
| ~ mem2(X3,X5,X0) )
& ! [X6: $int] :
( mem0(X6,g_s65_65)
<=> ? [X7: $int] : mem2(X6,X7,X0) )
& ! [X8: $int] :
( mem0(X8,g_s6_6)
| ! [X9: $int] : ~ mem2(X9,X8,X0) ) ),
inference(flattening,[],[f342]) ).
tff(f366,plain,
( ? [X0: $int,X1: $int] :
( ( ~ mem0(X1,g_s66_66)
| ~ mem0(X0,g_s37_37) )
& mem2(X1,X0,g_s104_89)
& mem0(X1,g_s66_66)
& mem0(X0,g_s37_37) )
| ? [X2: $int,X3: $int,X4: $int] :
( ( X3 != X4 )
& mem2(X2,X3,g_s104_89)
& mem0(X2,g_s66_66)
& mem0(X3,g_s37_37)
& mem2(X2,X4,g_s104_89)
& mem0(X2,g_s66_66)
& mem0(X4,g_s37_37) ) ),
inference(ennf_transformation,[],[f141]) ).
tff(f367,plain,
( ? [X0: $int,X1: $int] :
( ( ~ mem0(X1,g_s66_66)
| ~ mem0(X0,g_s37_37) )
& mem2(X1,X0,g_s104_89)
& mem0(X1,g_s66_66)
& mem0(X0,g_s37_37) )
| ? [X2: $int,X3: $int,X4: $int] :
( ( X3 != X4 )
& mem2(X2,X3,g_s104_89)
& mem0(X2,g_s66_66)
& mem0(X3,g_s37_37)
& mem2(X2,X4,g_s104_89)
& mem0(X2,g_s66_66)
& mem0(X4,g_s37_37) ) ),
inference(flattening,[],[f366]) ).
tff(f861,plain,
! [X2: $int,X1: $int] :
( ~ mem2(X2,X1,g_s104_89)
| mem2(X2,X1,sK174) ),
inference(cnf_transformation,[],[f343]) ).
tff(f863,plain,
! [X3: $int,X4: $int,X5: $int] :
( ~ mem2(X3,X4,sK174)
| ~ mem2(X3,X5,sK174)
| ( X4 = X5 ) ),
inference(cnf_transformation,[],[f343]) ).
tff(f937,plain,
( mem2(sK199,sK201,g_s104_89)
| ~ mem0(sK202,g_s37_37)
| ~ mem0(sK203,g_s66_66) ),
inference(cnf_transformation,[],[f367]) ).
tff(f940,plain,
( mem2(sK199,sK200,g_s104_89)
| ~ mem0(sK202,g_s37_37)
| ~ mem0(sK203,g_s66_66) ),
inference(cnf_transformation,[],[f367]) ).
tff(f941,plain,
( ( sK200 != sK201 )
| ~ mem0(sK202,g_s37_37)
| ~ mem0(sK203,g_s66_66) ),
inference(cnf_transformation,[],[f367]) ).
tff(f942,plain,
( ( sK200 != sK201 )
| mem0(sK202,g_s37_37) ),
inference(cnf_transformation,[],[f367]) ).
tff(f943,plain,
( ( sK200 != sK201 )
| mem0(sK203,g_s66_66) ),
inference(cnf_transformation,[],[f367]) ).
tff(f945,plain,
( mem2(sK199,sK200,g_s104_89)
| mem0(sK202,g_s37_37) ),
inference(cnf_transformation,[],[f367]) ).
tff(f946,plain,
( mem2(sK199,sK200,g_s104_89)
| mem0(sK203,g_s66_66) ),
inference(cnf_transformation,[],[f367]) ).
tff(f954,plain,
( mem2(sK199,sK201,g_s104_89)
| mem0(sK202,g_s37_37) ),
inference(cnf_transformation,[],[f367]) ).
tff(f955,plain,
( mem2(sK199,sK201,g_s104_89)
| mem0(sK203,g_s66_66) ),
inference(cnf_transformation,[],[f367]) ).
tff(f985,definition,
( spl204_1
<=> mem0(sK203,g_s66_66) ),
introduced(definition,[new_symbols(definition,[spl204_1])],[avatar_definition]) ).
tff(f989,definition,
( spl204_2
<=> mem0(sK202,g_s37_37) ),
introduced(definition,[new_symbols(definition,[spl204_2])],[avatar_definition]) ).
tff(f1003,definition,
( spl204_5
<=> mem2(sK199,sK201,g_s104_89) ),
introduced(definition,[new_symbols(definition,[spl204_5])],[avatar_definition]) ).
tff(f1005,plain,
( mem2(sK199,sK201,g_s104_89)
| ~ spl204_5 ),
inference(avatar_component_clause,[],[f1003]) ).
tff(f1006,plain,
( ~ spl204_1
| ~ spl204_2
| spl204_5 ),
inference(avatar_split_clause,[],[f937,f1003,f989,f985]) ).
tff(f1014,definition,
( spl204_7
<=> mem2(sK199,sK200,g_s104_89) ),
introduced(definition,[new_symbols(definition,[spl204_7])],[avatar_definition]) ).
tff(f1016,plain,
( mem2(sK199,sK200,g_s104_89)
| ~ spl204_7 ),
inference(avatar_component_clause,[],[f1014]) ).
tff(f1017,plain,
( ~ spl204_1
| ~ spl204_2
| spl204_7 ),
inference(avatar_split_clause,[],[f940,f1014,f989,f985]) ).
tff(f1019,definition,
( spl204_8
<=> ( sK200 = sK201 ) ),
introduced(definition,[new_symbols(definition,[spl204_8])],[avatar_definition]) ).
tff(f1021,plain,
( ( sK200 != sK201 )
| spl204_8 ),
inference(avatar_component_clause,[],[f1019]) ).
tff(f1022,plain,
( ~ spl204_1
| ~ spl204_2
| ~ spl204_8 ),
inference(avatar_split_clause,[],[f941,f1019,f989,f985]) ).
tff(f1023,plain,
( spl204_2
| ~ spl204_8 ),
inference(avatar_split_clause,[],[f942,f1019,f989]) ).
tff(f1024,plain,
( spl204_1
| ~ spl204_8 ),
inference(avatar_split_clause,[],[f943,f1019,f985]) ).
tff(f1030,plain,
( spl204_2
| spl204_7 ),
inference(avatar_split_clause,[],[f945,f1014,f989]) ).
tff(f1031,plain,
( spl204_1
| spl204_7 ),
inference(avatar_split_clause,[],[f946,f1014,f985]) ).
tff(f1039,plain,
( spl204_2
| spl204_5 ),
inference(avatar_split_clause,[],[f954,f1003,f989]) ).
tff(f1040,plain,
( spl204_1
| spl204_5 ),
inference(avatar_split_clause,[],[f955,f1003,f985]) ).
tff(f1086,plain,
( mem2(sK199,sK201,sK174)
| ~ spl204_5 ),
inference(resolution,[],[f861,f1005]) ).
tff(f1087,plain,
( mem2(sK199,sK200,sK174)
| ~ spl204_7 ),
inference(resolution,[],[f861,f1016]) ).
tff(f1316,plain,
( ! [X0: $int] :
( ~ mem2(sK199,X0,sK174)
| ( sK201 = X0 ) )
| ~ spl204_5 ),
inference(resolution,[],[f863,f1086]) ).
tff(f1323,plain,
( ( sK200 = sK201 )
| ~ spl204_5
| ~ spl204_7 ),
inference(resolution,[],[f1316,f1087]) ).
tff(f1326,plain,
( $false
| ~ spl204_5
| ~ spl204_7
| spl204_8 ),
inference(forward_subsumption_resolution,[],[f1323,f1021]) ).
tff(f1327,plain,
( ~ spl204_5
| ~ spl204_7
| spl204_8 ),
inference(avatar_contradiction_clause,[],[f1326]) ).
cnf(s3,plain,
( ~ spl204_1
| ~ spl204_2
| spl204_5 ),
inference(sat_conversion,[],[f1006]) ).
cnf(s6,plain,
( ~ spl204_1
| ~ spl204_2
| spl204_7 ),
inference(sat_conversion,[],[f1017]) ).
cnf(s7,plain,
( ~ spl204_1
| ~ spl204_2
| ~ spl204_8 ),
inference(sat_conversion,[],[f1022]) ).
cnf(s8,plain,
( spl204_2
| ~ spl204_8 ),
inference(sat_conversion,[],[f1023]) ).
cnf(s9,plain,
( spl204_1
| ~ spl204_8 ),
inference(sat_conversion,[],[f1024]) ).
cnf(s11,plain,
( spl204_2
| spl204_7 ),
inference(sat_conversion,[],[f1030]) ).
cnf(s12,plain,
( spl204_1
| spl204_7 ),
inference(sat_conversion,[],[f1031]) ).
cnf(s20,plain,
( spl204_2
| spl204_5 ),
inference(sat_conversion,[],[f1039]) ).
cnf(s21,plain,
( spl204_1
| spl204_5 ),
inference(sat_conversion,[],[f1040]) ).
cnf(s43,plain,
( ~ spl204_5
| ~ spl204_7
| spl204_8 ),
inference(sat_conversion,[],[f1327]) ).
cnf(s44,plain,
spl204_1,
inference(rat,[],[s43,s9,s12,s21]) ).
cnf(s46,plain,
spl204_2,
inference(rat,[],[s43,s8,s11,s20]) ).
cnf(s48,plain,
~ spl204_8,
inference(rat,[],[s7,s44,s46]) ).
cnf(s49,plain,
spl204_7,
inference(rat,[],[s6,s44,s46]) ).
cnf(s52,plain,
spl204_5,
inference(rat,[],[s3,s44,s46]) ).
cnf(s54,plain,
$false,
inference(rat,[],[s43,s48,s49,s52]) ).
tff(f1328,plain,
$false,
inference(avatar_sat_refutation,[],[s54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC539_1 : TPTP v9.3.1. Bugfixed v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.17 % Computer : n019.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Mon Sep 28 09:42:03 UTC 2026
% 0.10/0.18 % CPUTime :
% 0.10/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.21 Running first-order model finding
% 0.10/0.21 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.37 % (3883375)Will run a generic schedule for satisfiability detection.
% 0.18/0.37 % (3883401)dis+10_1_sil=32000:sp=arity:random_seed=2848347778:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.37 % (3883398)% WARNING: option uhcvi not known.
% 0.18/0.37 % (3883397)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=854902005_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.37 % (3883400)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3115732727:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.37 % (3883398)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1561800894:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.37 % (3883402)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3454149151:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.37 % (3883403)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=782435560:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.37 % (3883404)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2340756670:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.37 % (3883397)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.18/0.37 % (3883397)Terminated due to inappropriate strategy.
% 0.18/0.37 % (3883397)------------------------------
% 0.18/0.37 % (3883397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.37 % (3883397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.37 % (3883397)CaDiCaL version: 2.1.3
% 0.18/0.37 % (3883397)Termination reason: Inappropriate
% 0.18/0.37 % (3883397)Time elapsed: 0.016 s
% 0.18/0.37 % (3883397)Peak memory usage: 12 MB
% 0.18/0.37 % (3883397)Instructions burned: 31 (million)
% 0.18/0.37 % (3883397)------------------------------
% 0.18/0.37 % (3883397)------------------------------
% 0.18/0.37 % (3883401)Instruction limit reached!
% 0.18/0.37 % (3883401)------------------------------
% 0.18/0.37 % (3883401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.37 % (3883401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.37 % (3883401)CaDiCaL version: 2.1.3
% 0.18/0.37 % (3883401)Termination reason: Instruction limit
% 0.18/0.37 % (3883401)Termination phase: Saturation
% 0.18/0.37 % (3883401)Time elapsed: 0.034 s
% 0.18/0.37 % (3883401)Peak memory usage: 13 MB
% 0.18/0.37 % (3883401)Instructions burned: 106 (million)
% 0.18/0.37 % (3883427)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2021118389:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.37 % (3883422)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4164669949:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.18/0.37 % (3883422)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.18/0.37 % (3883422)Terminated due to inappropriate strategy.
% 0.18/0.37 % (3883422)------------------------------
% 0.18/0.37 % (3883422)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.37 % (3883422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.37 % (3883422)CaDiCaL version: 2.1.3
% 0.18/0.37 % (3883422)Termination reason: Inappropriate
% 0.18/0.37 % (3883422)Time elapsed: 0.012 s
% 0.18/0.37 % (3883422)Peak memory usage: 11 MB
% 0.18/0.37 % (3883422)Instructions burned: 23 (million)
% 0.18/0.37 % (3883422)------------------------------
% 0.18/0.37 % (3883422)------------------------------
% 0.18/0.37 % (3883402)Instruction limit reached!
% 0.18/0.37 % (3883402)------------------------------
% 0.18/0.37 % (3883402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.37 % (3883402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.37 % (3883402)CaDiCaL version: 2.1.3
% 0.18/0.37 % (3883402)Termination reason: Instruction limit
% 0.18/0.37 % (3883402)Termination phase: Saturation
% 0.18/0.37 % (3883402)Time elapsed: 0.067 s
% 0.18/0.37 % (3883402)Peak memory usage: 13 MB
% 0.18/0.37 % (3883402)Instructions burned: 118 (million)
% 0.18/0.37 % (3883442)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=46177085:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.18/0.37 % (3883427)Instruction limit reached!
% 0.18/0.37 % (3883427)------------------------------
% 0.18/0.37 % (3883427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.37 % (3883427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.37 % (3883427)CaDiCaL version: 2.1.3
% 0.18/0.37 % (3883427)Termination reason: Instruction limit
% 0.18/0.37 % (3883427)Termination phase: Saturation
% 0.18/0.37 % (3883427)Time elapsed: 0.041 s
% 0.18/0.37 % (3883427)Peak memory usage: 14 MB
% 0.18/0.37 % (3883427)Instructions burned: 133 (million)
% 0.18/0.37 % (3883403)Instruction limit reached!
% 0.18/0.37 % (3883403)------------------------------
% 0.18/0.37 % (3883403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.37 % (3883403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.37 % (3883403)CaDiCaL version: 2.1.3
% 0.18/0.37 % (3883403)Termination reason: Instruction limit
% 0.18/0.37 % (3883403)Termination phase: Saturation
% 0.18/0.37 % (3883403)Time elapsed: 0.080 s
% 0.18/0.37 % (3883403)Peak memory usage: 14 MB
% 0.18/0.37 % (3883403)Instructions burned: 131 (million)
% 0.18/0.37 % (3883449)ott-21_1_sil=16000:fs=off:random_seed=2126107668:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.18/0.37 % (3883454)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1086590612:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 0.18/0.37 % (3883442) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3883375-3883442"...
% 0.18/0.37 % (3883442)...printing done.
% 0.18/0.37 % (3883442)Refutation found. Thanks to Tanya!
% 0.18/0.37 % SZS status Theorem for theBenchmark
% 0.18/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 1.06/0.37 % (3883442)------------------------------
% 1.06/0.37 % (3883442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.37 % (3883442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.37 % (3883442)CaDiCaL version: 2.1.3
% 1.06/0.37 % (3883442)Termination reason: Refutation
% 1.06/0.37 % (3883442)Time elapsed: 0.029 s
% 1.06/0.37 % (3883442)Peak memory usage: 14 MB
% 1.06/0.37 % (3883442)Instructions burned: 46 (million)
% 1.06/0.37 % (3883375)Success in time 0.15 s
% 1.06/0.37 % Vampire exiting
%------------------------------------------------------------------------------