%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP114^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 : Wed Sep 30 08:08:24 AM UTC 2026
% Result : Theorem 0.59s 0.40s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 16 unt; 0 typ; 1 def)
% Number of atoms : 36 ( 7 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 59 ( 8 ~; 2 |; 0 &; 48 @)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 8 ( 7 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 329 ( 326 usr; 11 con; 0-4 aty)
% Number of variables : 4 ( 0 sgn 4 !; 0 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
set_Extended_ereal: $tType ).
thf(type_def_6,type,
extended_ereal: $tType ).
thf(type_def_7,type,
extended_enat: $tType ).
thf(type_def_8,type,
real: $tType ).
thf(type_def_9,type,
num: $tType ).
thf(type_def_10,type,
nat: $tType ).
thf(type_def_11,type,
a: $tType ).
thf(type_def_12,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
extended_enat2: nat > extended_enat ).
thf(func_def_1,type,
extend1289208545_ereal: extended_ereal ).
thf(func_def_2,type,
extended_the_enat: extended_enat > nat ).
thf(func_def_3,type,
extended_MInfty: extended_ereal ).
thf(func_def_4,type,
extended_PInfty: extended_ereal ).
thf(func_def_5,type,
extended_ereal2: real > extended_ereal ).
thf(func_def_6,type,
extended_size_ereal: extended_ereal > nat ).
thf(func_def_7,type,
extend1771934483f_enat: extended_enat > extended_ereal ).
thf(func_def_8,type,
extend1716541707_ereal: extended_ereal > real ).
thf(func_def_9,type,
abs_ab1260901297_ereal: extended_ereal > extended_ereal ).
thf(func_def_10,type,
uminus1208298309_ereal: extended_ereal > extended_ereal ).
thf(func_def_11,type,
uminus_uminus_real: real > real ).
thf(func_def_12,type,
zero_z491942557d_enat: extended_enat ).
thf(func_def_13,type,
zero_z163181189_ereal: extended_ereal ).
thf(func_def_14,type,
zero_zero_nat: nat ).
thf(func_def_15,type,
zero_zero_real: real ).
thf(func_def_16,type,
lower_1616484581_ereal: ( a > extended_ereal ) > $o ).
thf(func_def_17,type,
lower_881475195hull_a: ( a > extended_ereal ) > a > extended_ereal ).
thf(func_def_18,type,
numera280919179d_enat: num > extended_enat ).
thf(func_def_19,type,
numera1793320307_ereal: num > extended_ereal ).
thf(func_def_20,type,
numeral_numeral_nat: num > nat ).
thf(func_def_21,type,
numeral_numeral_real: num > real ).
thf(func_def_22,type,
ord_le291126163d_enat: ( $o > extended_enat ) > ( $o > extended_enat ) > $o ).
thf(func_def_23,type,
ord_le637473275_ereal: ( $o > extended_ereal ) > ( $o > extended_ereal ) > $o ).
thf(func_def_24,type,
ord_less_eq_o_nat: ( $o > nat ) > ( $o > nat ) > $o ).
thf(func_def_25,type,
ord_less_eq_o_real: ( $o > real ) > ( $o > real ) > $o ).
thf(func_def_26,type,
ord_le1863327750d_enat: extended_enat > extended_enat > $o ).
thf(func_def_27,type,
ord_le824540014_ereal: extended_ereal > extended_ereal > $o ).
thf(func_def_28,type,
ord_less_eq_nat: nat > nat > $o ).
thf(func_def_29,type,
ord_less_eq_num: num > num > $o ).
thf(func_def_30,type,
ord_less_eq_real: real > real > $o ).
thf(func_def_31,type,
order_1628344639d_enat: ( extended_enat > $o ) > extended_enat ).
thf(func_def_32,type,
order_1158471719_ereal: ( extended_ereal > $o ) > extended_ereal ).
thf(func_def_33,type,
order_Greatest_nat: ( nat > $o ) > nat ).
thf(func_def_34,type,
order_Greatest_real: ( real > $o ) > real ).
thf(func_def_35,type,
order_2047034162d_enat: ( extended_enat > extended_enat ) > $o ).
thf(func_def_36,type,
order_1147259034_ereal: ( extended_enat > extended_ereal ) > $o ).
thf(func_def_37,type,
order_442688004at_nat: ( extended_enat > nat ) > $o ).
thf(func_def_38,type,
order_182315744t_real: ( extended_enat > real ) > $o ).
thf(func_def_39,type,
order_680161354d_enat: ( extended_ereal > extended_enat ) > $o ).
thf(func_def_40,type,
order_1408494002_ereal: ( extended_ereal > extended_ereal ) > $o ).
thf(func_def_41,type,
order_523806444al_nat: ( extended_ereal > nat ) > $o ).
thf(func_def_42,type,
order_1800387528l_real: ( extended_ereal > real ) > $o ).
thf(func_def_43,type,
order_1660553314d_enat: ( nat > extended_enat ) > $o ).
thf(func_def_44,type,
order_736687562_ereal: ( nat > extended_ereal ) > $o ).
thf(func_def_45,type,
order_1631207636at_nat: ( nat > nat ) > $o ).
thf(func_def_46,type,
order_106095024t_real: ( nat > real ) > $o ).
thf(func_def_47,type,
order_2106278841d_enat: ( extended_enat > extended_enat ) > $o ).
thf(func_def_48,type,
order_1180956065_ereal: ( extended_enat > extended_ereal ) > $o ).
thf(func_def_49,type,
order_1622825661at_nat: ( extended_enat > nat ) > $o ).
thf(func_def_50,type,
order_135436057t_real: ( extended_enat > real ) > $o ).
thf(func_def_51,type,
order_713858385d_enat: ( extended_ereal > extended_enat ) > $o ).
thf(func_def_52,type,
order_555877177_ereal: ( extended_ereal > extended_ereal ) > $o ).
thf(func_def_53,type,
order_476926757al_nat: ( extended_ereal > nat ) > $o ).
thf(func_def_54,type,
order_1560271745l_real: ( extended_ereal > real ) > $o ).
thf(func_def_55,type,
order_693207323d_enat: ( nat > extended_enat ) > $o ).
thf(func_def_56,type,
order_689807875_ereal: ( nat > extended_ereal ) > $o ).
thf(func_def_57,type,
order_769474267at_nat: ( nat > nat ) > $o ).
thf(func_def_58,type,
order_1962034751d_enat: ( real > extended_enat ) > $o ).
thf(func_def_59,type,
order_946214183_ereal: ( real > extended_ereal ) > $o ).
thf(func_def_60,type,
divide595620860_ereal: extended_ereal > extended_ereal > extended_ereal ).
thf(func_def_61,type,
member1900190071_ereal: extended_ereal > set_Extended_ereal > $o ).
thf(func_def_62,type,
f: a > extended_ereal ).
thf(func_def_63,type,
g: a > extended_ereal ).
thf(func_def_64,type,
x: a ).
thf(func_def_68,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_69,type,
vIMP: $o > $o > $o ).
thf(func_def_70,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_71,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_72,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_73,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_74,type,
vAND: $o > $o > $o ).
thf(func_def_75,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_76,type,
vOR: $o > $o > $o ).
thf(func_def_77,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_78,type,
sP0: nat > nat > nat > $o ).
thf(func_def_79,type,
sP1: nat > nat > nat > $o ).
thf(func_def_80,type,
sP2: real > real > real > $o ).
thf(func_def_81,type,
sP3: real > real > real > $o ).
thf(func_def_82,type,
sP4: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_83,type,
sP5: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_84,type,
sP6: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_85,type,
sP7: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_86,type,
sP8: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_87,type,
sP9: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_88,type,
sP10: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_89,type,
sP11: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_90,type,
sP12: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_91,type,
sP13: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_92,type,
sP14: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_93,type,
sP15: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_94,type,
sP16: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_95,type,
sP17: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_96,type,
sP18: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_97,type,
sP19: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_98,type,
sP20: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_99,type,
sP21: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_100,type,
sP22: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_101,type,
sP23: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_102,type,
sP24: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_103,type,
sP25: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_104,type,
sP26: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_105,type,
sP27: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_106,type,
sP28: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_107,type,
sP29: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_108,type,
sP30: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_109,type,
sP31: extended_enat > extended_enat > extended_enat > $o ).
thf(func_def_110,type,
sP32: extended_enat > extended_enat > extended_enat > $o ).
thf(func_def_111,type,
sP33: extended_ereal > extended_ereal > $o ).
thf(func_def_112,type,
sP34: extended_ereal > extended_ereal > $o ).
thf(func_def_113,type,
sP35: extended_ereal > extended_ereal > $o ).
thf(func_def_114,type,
sP36: extended_ereal > extended_ereal > $o ).
thf(func_def_115,type,
sP37: extended_ereal > extended_ereal > $o ).
thf(func_def_116,type,
sK38: nat > ( nat > $o ) > nat ).
thf(func_def_117,type,
sK39: ( nat > extended_enat ) > nat ).
thf(func_def_118,type,
sK40: ( nat > extended_enat ) > nat ).
thf(func_def_119,type,
sK41: ( extended_ereal > extended_ereal ) > extended_ereal ).
thf(func_def_120,type,
sK42: ( extended_ereal > extended_ereal ) > extended_ereal ).
thf(func_def_121,type,
sK43: ( real > extended_ereal ) > real ).
thf(func_def_122,type,
sK44: ( real > extended_ereal ) > real ).
thf(func_def_123,type,
sK45: ( extended_enat > extended_enat ) > extended_enat ).
thf(func_def_124,type,
sK46: ( extended_enat > extended_enat ) > extended_enat ).
thf(func_def_125,type,
sK47: extended_ereal > real > real ).
thf(func_def_126,type,
sK48: nat > ( nat > $o ) > nat ).
thf(func_def_127,type,
sK49: ( extended_ereal > extended_ereal ) > extended_ereal ).
thf(func_def_128,type,
sK50: ( extended_ereal > extended_ereal ) > extended_ereal ).
thf(func_def_129,type,
sK51: ( extended_enat > nat ) > extended_enat ).
thf(func_def_130,type,
sK52: ( extended_enat > nat ) > extended_enat ).
thf(func_def_131,type,
sK53: ( extended_ereal > extended_ereal ) > extended_ereal ).
thf(func_def_132,type,
sK54: ( extended_ereal > extended_ereal ) > extended_ereal ).
thf(func_def_133,type,
sK55: extended_ereal > real ).
thf(func_def_134,type,
sK56: ( extended_enat > extended_ereal ) > extended_enat ).
thf(func_def_135,type,
sK57: ( extended_enat > extended_ereal ) > extended_enat ).
thf(func_def_136,type,
sK58: set_Extended_ereal > extended_ereal ).
thf(func_def_137,type,
sK59: extended_ereal > set_Extended_ereal > extended_ereal ).
thf(func_def_138,type,
sK60: real > ( real > $o ) > real ).
thf(func_def_139,type,
sK61: ( nat > $o ) > nat > nat ).
thf(func_def_140,type,
sK62: ( extended_ereal > real ) > extended_ereal ).
thf(func_def_141,type,
sK63: ( extended_ereal > real ) > extended_ereal ).
thf(func_def_142,type,
sK64: ( nat > extended_ereal ) > nat ).
thf(func_def_143,type,
sK65: ( nat > extended_ereal ) > nat ).
thf(func_def_144,type,
sK66: ( extended_enat > extended_enat ) > extended_enat ).
thf(func_def_145,type,
sK67: ( extended_enat > extended_enat ) > extended_enat ).
thf(func_def_146,type,
sK68: ( extended_ereal > extended_ereal > $o ) > real ).
thf(func_def_147,type,
sK69: ( extended_ereal > extended_ereal > $o ) > real ).
thf(func_def_148,type,
sK70: ( extended_ereal > extended_ereal > $o ) > real ).
thf(func_def_149,type,
sK71: ( extended_ereal > extended_ereal > $o ) > real ).
thf(func_def_150,type,
sK72: ( extended_ereal > extended_ereal > $o ) > extended_ereal ).
thf(func_def_151,type,
sK73: ( extended_ereal > extended_ereal > $o ) > extended_ereal ).
thf(func_def_152,type,
sK74: ( real > extended_enat ) > real ).
thf(func_def_153,type,
sK75: ( real > extended_enat ) > real ).
thf(func_def_154,type,
sK76: ( extended_enat > extended_ereal ) > extended_enat ).
thf(func_def_155,type,
sK77: ( extended_enat > extended_ereal ) > extended_enat ).
thf(func_def_156,type,
sK78: ( extended_enat > real ) > extended_enat ).
thf(func_def_157,type,
sK79: ( extended_enat > real ) > extended_enat ).
thf(func_def_158,type,
sK80: extended_ereal > real ).
thf(func_def_159,type,
sK81: ( nat > extended_ereal ) > nat ).
thf(func_def_160,type,
sK82: ( nat > extended_ereal ) > nat ).
thf(func_def_161,type,
sK83: ( extended_enat > nat ) > extended_enat ).
thf(func_def_162,type,
sK84: ( extended_enat > nat ) > extended_enat ).
thf(func_def_163,type,
sK85: ( extended_ereal > extended_ereal ) > extended_ereal ).
thf(func_def_164,type,
sK86: ( extended_ereal > extended_ereal ) > extended_ereal ).
thf(func_def_165,type,
sK87: ( extended_ereal > extended_ereal > $o ) > real ).
thf(func_def_166,type,
sK88: ( extended_ereal > extended_ereal > $o ) > real ).
thf(func_def_167,type,
sK89: ( extended_ereal > extended_ereal > $o ) > extended_ereal ).
thf(func_def_168,type,
sK90: ( extended_ereal > extended_ereal > $o ) > real ).
thf(func_def_169,type,
sK91: ( extended_ereal > extended_ereal > $o ) > extended_ereal ).
thf(func_def_170,type,
sK92: ( extended_ereal > extended_ereal > $o ) > real ).
thf(func_def_171,type,
sK93: ( extended_ereal > extended_ereal > $o ) > real ).
thf(func_def_172,type,
sK94: ( extended_ereal > extended_ereal > $o ) > real ).
thf(func_def_173,type,
sK95: ( extended_ereal > extended_ereal > $o ) > real ).
thf(func_def_174,type,
sK96: ( extended_ereal > extended_ereal > $o ) > real ).
thf(func_def_175,type,
sK97: ( extended_ereal > extended_ereal > $o ) > real ).
thf(func_def_176,type,
sK98: ( extended_ereal > extended_ereal > $o ) > real ).
thf(func_def_177,type,
sK99: extended_ereal > real ).
thf(func_def_178,type,
sK100: extended_ereal > real ).
thf(func_def_179,type,
sK101: ( real > real > $o ) > real ).
thf(func_def_180,type,
sK102: ( real > real > $o ) > real ).
thf(func_def_181,type,
sK103: ( real > real > $o ) > real ).
thf(func_def_182,type,
sK104: ( real > real > $o ) > real ).
thf(func_def_183,type,
sK105: ( extended_ereal > real ) > extended_ereal ).
thf(func_def_184,type,
sK106: ( extended_ereal > real ) > extended_ereal ).
thf(func_def_185,type,
sK107: ( nat > nat > $o ) > nat ).
thf(func_def_186,type,
sK108: ( nat > nat > $o ) > nat ).
thf(func_def_187,type,
sK109: ( nat > nat > $o ) > nat ).
thf(func_def_188,type,
sK110: ( nat > nat > $o ) > nat ).
thf(func_def_189,type,
sK111: ( nat > extended_ereal ) > nat ).
thf(func_def_190,type,
sK112: ( nat > extended_ereal ) > nat ).
thf(func_def_191,type,
sK113: extended_ereal > extended_ereal > real ).
thf(func_def_192,type,
sK114: extended_ereal > real ).
thf(func_def_193,type,
sK115: extended_ereal > real ).
thf(func_def_194,type,
sK116: extended_ereal > real ).
thf(func_def_195,type,
sK117: extended_ereal > real ).
thf(func_def_196,type,
sK118: extended_ereal > real ).
thf(func_def_197,type,
sK119: extended_ereal > real ).
thf(func_def_198,type,
sK120: extended_ereal > real ).
thf(func_def_199,type,
sK121: extended_ereal > real ).
thf(func_def_200,type,
sK122: extended_ereal > real ).
thf(func_def_201,type,
sK123: extended_ereal > real ).
thf(func_def_202,type,
sK124: extended_ereal > real ).
thf(func_def_203,type,
sK125: extended_ereal > real ).
thf(func_def_204,type,
sK126: extended_ereal > real ).
thf(func_def_205,type,
sK127: extended_ereal > real ).
thf(func_def_206,type,
sK128: extended_ereal > real ).
thf(func_def_207,type,
sK129: extended_ereal > real ).
thf(func_def_208,type,
sK130: extended_ereal > real ).
thf(func_def_209,type,
sK131: extended_ereal > real ).
thf(func_def_210,type,
sK132: extended_ereal > real ).
thf(func_def_211,type,
sK133: extended_ereal > real ).
thf(func_def_212,type,
sK134: extended_ereal > real ).
thf(func_def_213,type,
sK135: extended_ereal > real ).
thf(func_def_214,type,
sK136: extended_ereal > real ).
thf(func_def_215,type,
sK137: extended_ereal > real ).
thf(func_def_216,type,
sK138: extended_ereal > real ).
thf(func_def_217,type,
sK139: extended_ereal > real ).
thf(func_def_218,type,
sK140: extended_ereal > real ).
thf(func_def_219,type,
sK141: ( extended_ereal > real ) > extended_ereal ).
thf(func_def_220,type,
sK142: ( extended_ereal > real ) > extended_ereal ).
thf(func_def_221,type,
sK143: ( extended_enat > nat ) > extended_enat ).
thf(func_def_222,type,
sK144: ( extended_enat > nat ) > extended_enat ).
thf(func_def_223,type,
sK145: ( extended_ereal > nat ) > extended_ereal ).
thf(func_def_224,type,
sK146: ( extended_ereal > nat ) > extended_ereal ).
thf(func_def_225,type,
sK147: ( a > extended_ereal ) > ( a > extended_ereal ) > a ).
thf(func_def_226,type,
sK148: extended_ereal > real ).
thf(func_def_227,type,
sK149: ( extended_ereal > $o ) > real ).
thf(func_def_228,type,
sK150: extended_ereal > real ).
thf(func_def_229,type,
sK151: ( extended_enat > extended_enat ) > extended_enat ).
thf(func_def_230,type,
sK152: ( extended_enat > extended_enat ) > extended_enat ).
thf(func_def_231,type,
sK153: extended_ereal > real ).
thf(func_def_232,type,
sK154: ( extended_ereal > nat ) > extended_ereal ).
thf(func_def_233,type,
sK155: ( extended_ereal > nat ) > extended_ereal ).
thf(func_def_234,type,
sK156: ( extended_ereal > $o ) > real ).
thf(func_def_235,type,
sK157: ( extended_enat > extended_enat ) > extended_enat ).
thf(func_def_236,type,
sK158: ( extended_enat > extended_enat ) > extended_enat ).
thf(func_def_237,type,
sK159: ( extended_ereal > extended_ereal ) > extended_ereal ).
thf(func_def_238,type,
sK160: ( extended_ereal > extended_ereal ) > extended_ereal ).
thf(func_def_239,type,
sK161: ( extended_ereal > real ) > extended_ereal ).
thf(func_def_240,type,
sK162: ( extended_ereal > real ) > extended_ereal ).
thf(func_def_241,type,
sK163: ( extended_enat > extended_ereal ) > extended_enat ).
thf(func_def_242,type,
sK164: ( extended_enat > extended_ereal ) > extended_enat ).
thf(func_def_243,type,
sK165: ( extended_ereal > extended_enat ) > extended_ereal ).
thf(func_def_244,type,
sK166: ( extended_ereal > extended_enat ) > extended_ereal ).
thf(func_def_245,type,
sK167: ( a > extended_ereal ) > ( a > extended_ereal ) > a ).
thf(func_def_246,type,
sK168: ( a > extended_ereal ) > ( a > extended_ereal ) > a > extended_ereal ).
thf(func_def_247,type,
sK169: ( a > extended_ereal ) > ( a > extended_ereal ) > a ).
thf(func_def_248,type,
sK170: ( a > extended_ereal ) > ( a > extended_ereal ) > a ).
thf(func_def_249,type,
sK171: extended_enat > ( extended_enat > $o ) > extended_enat ).
thf(func_def_250,type,
sK172: ( extended_ereal > nat ) > extended_ereal ).
thf(func_def_251,type,
sK173: ( extended_ereal > nat ) > extended_ereal ).
thf(func_def_252,type,
sK174: ( extended_ereal > extended_enat ) > extended_ereal ).
thf(func_def_253,type,
sK175: ( extended_ereal > extended_enat ) > extended_ereal ).
thf(func_def_254,type,
sK176: extended_ereal > real ).
thf(func_def_255,type,
sK177: ( extended_ereal > $o ) > ( extended_ereal > $o ) > extended_ereal ).
thf(func_def_256,type,
sK178: extended_ereal > ( extended_ereal > $o ) > extended_ereal ).
thf(func_def_257,type,
sK179: set_Extended_ereal > extended_ereal ).
thf(func_def_258,type,
sK180: extended_ereal > set_Extended_ereal > extended_ereal ).
thf(func_def_259,type,
sK181: ( nat > extended_enat ) > nat ).
thf(func_def_260,type,
sK182: ( nat > extended_enat ) > nat ).
thf(func_def_261,type,
sK183: ( extended_enat > extended_enat > $o ) > extended_enat ).
thf(func_def_262,type,
sK184: ( extended_enat > extended_enat > $o ) > extended_enat ).
thf(func_def_263,type,
sK185: ( extended_enat > extended_enat > $o ) > extended_enat ).
thf(func_def_264,type,
sK186: ( extended_enat > extended_enat > $o ) > extended_enat ).
thf(func_def_265,type,
sK187: ( nat > extended_ereal ) > nat ).
thf(func_def_266,type,
sK188: ( nat > extended_ereal ) > nat ).
thf(func_def_267,type,
sK189: ( nat > extended_enat ) > nat ).
thf(func_def_268,type,
sK190: ( nat > extended_enat ) > nat ).
thf(func_def_269,type,
sK191: ( extended_enat > real ) > extended_enat ).
thf(func_def_270,type,
sK192: ( extended_enat > real ) > extended_enat ).
thf(func_def_271,type,
sK193: extended_ereal > ( extended_ereal > $o ) > extended_ereal ).
thf(func_def_272,type,
sK194: ( real > $o ) > real > real ).
thf(func_def_273,type,
sK195: ( real > $o ) > ( real > $o ) > real ).
thf(func_def_274,type,
sK196: ( extended_enat > nat ) > extended_enat ).
thf(func_def_275,type,
sK197: ( extended_enat > nat ) > extended_enat ).
thf(func_def_276,type,
sK198: ( extended_enat > extended_enat ) > extended_enat ).
thf(func_def_277,type,
sK199: ( extended_enat > extended_enat ) > extended_enat ).
thf(func_def_278,type,
sK200: extended_enat > nat ).
thf(func_def_279,type,
sK201: nat > ( nat > $o ) > nat ).
thf(func_def_280,type,
sK202: ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_281,type,
sK203: ( nat > extended_ereal ) > nat ).
thf(func_def_282,type,
sK204: ( nat > extended_ereal ) > nat ).
thf(func_def_283,type,
sK205: ( extended_enat > nat ) > extended_enat ).
thf(func_def_284,type,
sK206: ( extended_enat > nat ) > extended_enat ).
thf(func_def_285,type,
sK207: ( nat > extended_enat ) > nat ).
thf(func_def_286,type,
sK208: ( nat > extended_enat ) > nat ).
thf(func_def_287,type,
sK209: ( extended_ereal > extended_enat ) > extended_ereal ).
thf(func_def_288,type,
sK210: ( extended_ereal > extended_enat ) > extended_ereal ).
thf(func_def_289,type,
sK211: extended_ereal > extended_ereal > real ).
thf(func_def_290,type,
sK212: ( extended_enat > real ) > extended_enat ).
thf(func_def_291,type,
sK213: ( extended_enat > real ) > extended_enat ).
thf(func_def_292,type,
sK214: ( extended_ereal > $o ) > real ).
thf(func_def_293,type,
sK215: ( extended_enat > extended_ereal ) > extended_enat ).
thf(func_def_294,type,
sK216: ( extended_enat > extended_ereal ) > extended_enat ).
thf(func_def_295,type,
sK217: ( extended_ereal > extended_enat ) > extended_ereal ).
thf(func_def_296,type,
sK218: ( extended_ereal > extended_enat ) > extended_ereal ).
thf(func_def_297,type,
sK219: ( nat > $o ) > nat > nat ).
thf(func_def_298,type,
sK220: ( nat > $o ) > nat ).
thf(func_def_299,type,
sK221: ( nat > extended_enat ) > nat ).
thf(func_def_300,type,
sK222: ( nat > extended_enat ) > nat ).
thf(func_def_301,type,
sK223: ( extended_ereal > extended_enat ) > extended_ereal ).
thf(func_def_302,type,
sK224: ( extended_ereal > extended_enat ) > extended_ereal ).
thf(func_def_303,type,
sK225: ( extended_ereal > extended_ereal > $o ) > extended_ereal ).
thf(func_def_304,type,
sK226: ( extended_ereal > extended_ereal > $o ) > extended_ereal ).
thf(func_def_305,type,
sK227: ( extended_ereal > extended_ereal > $o ) > extended_ereal ).
thf(func_def_306,type,
sK228: ( extended_ereal > extended_ereal > $o ) > extended_ereal ).
thf(func_def_307,type,
sK229: ( extended_ereal > nat ) > extended_ereal ).
thf(func_def_308,type,
sK230: ( extended_ereal > nat ) > extended_ereal ).
thf(func_def_309,type,
sK231: extended_ereal > real ).
thf(func_def_310,type,
sK232: extended_ereal > real ).
thf(func_def_311,type,
sK233: extended_ereal > real ).
thf(func_def_312,type,
sK234: extended_ereal > real ).
thf(func_def_313,type,
sK235: extended_ereal > real ).
thf(func_def_314,type,
sK236: extended_ereal > real ).
thf(func_def_315,type,
sK237: nat > ( nat > $o ) > nat ).
thf(func_def_316,type,
sK238: ( extended_ereal > nat ) > extended_ereal ).
thf(func_def_317,type,
sK239: ( extended_ereal > nat ) > extended_ereal ).
thf(func_def_318,type,
sK240: extended_ereal > real ).
thf(func_def_319,type,
sK241: extended_enat > ( extended_enat > $o ) > extended_enat ).
thf(func_def_320,type,
sK242: ( extended_enat > $o ) > ( extended_enat > $o ) > extended_enat ).
thf(func_def_321,type,
sK243: ( extended_ereal > $o ) > real ).
thf(func_def_322,type,
sK244: ( extended_enat > extended_ereal ) > extended_enat ).
thf(func_def_323,type,
sK245: ( extended_enat > extended_ereal ) > extended_enat ).
thf(func_def_324,type,
sK246: ( extended_enat > real ) > extended_enat ).
thf(func_def_325,type,
sK247: ( extended_enat > real ) > extended_enat ).
thf(func_def_326,type,
vNOT: $o > $o ).
thf(f1,axiom,
! [X0: a] : ( ord_le824540014_ereal @ ( g @ X0 ) @ ( f @ X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_assms) ).
thf(f352,conjecture,
ord_le824540014_ereal @ ( g @ x ) @ ( f @ x ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(f353,negated_conjecture,
~ ( ord_le824540014_ereal @ ( g @ x ) @ ( f @ x ) ),
inference(negated_conjecture,[status(cth)],[f352]) ).
thf(f550,plain,
! [X0: a] : ( ord_le824540014_ereal @ ( g @ X0 ) @ ( f @ X0 ) ),
inference(rectify,[],[f1]) ).
thf(f551,plain,
! [X0: a] :
( ( ord_le824540014_ereal @ ( g @ X0 ) @ ( f @ X0 ) )
= $true ),
inference(fool_elimination,[],[f550]) ).
thf(f791,plain,
~ ( ord_le824540014_ereal @ ( g @ x ) @ ( f @ x ) ),
inference(rectify,[],[f353]) ).
thf(f792,plain,
( ( ord_le824540014_ereal @ ( g @ x ) @ ( f @ x ) )
!= $true ),
inference(fool_elimination,[],[f791]) ).
thf(f934,plain,
( ( ord_le824540014_ereal @ ( g @ x ) @ ( f @ x ) )
!= $true ),
inference(flattening,[],[f792]) ).
thf(f1724,plain,
( ( ord_le824540014_ereal @ ( g @ x ) @ ( f @ x ) )
!= $true ),
inference(cnf_transformation,[],[f934]) ).
thf(f2351,plain,
! [X0: a] :
( ( ord_le824540014_ereal @ ( g @ X0 ) @ ( f @ X0 ) )
= $true ),
inference(cnf_transformation,[],[f551]) ).
thf(f2747,definition,
( spl248_22
<=> ( ( ord_le824540014_ereal @ ( g @ x ) @ ( f @ x ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl248_22])],[avatar_definition]) ).
thf(f2749,plain,
( ( ( ord_le824540014_ereal @ ( g @ x ) @ ( f @ x ) )
!= $true )
| spl248_22 ),
inference(avatar_component_clause,[],[f2747]) ).
thf(f2750,plain,
~ spl248_22,
inference(avatar_split_clause,[],[f1724,f2747]) ).
thf(f2923,plain,
( $false
| spl248_22 ),
inference(forward_subsumption_resolution,[],[f2749,f2351]) ).
thf(f2924,plain,
spl248_22,
inference(avatar_contradiction_clause,[],[f2923]) ).
cnf(s24,plain,
~ spl248_22,
inference(sat_conversion,[],[f2750]) ).
cnf(s76,plain,
spl248_22,
inference(sat_conversion,[],[f2924]) ).
cnf(s77,plain,
$false,
inference(rat,[],[s24,s76]) ).
thf(f2925,plain,
$false,
inference(avatar_sat_refutation,[],[s77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP114^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n010.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Sep 29 19:56:03 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running higher-order theorem proving
% 0.07/0.25 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.59/0.40 % (3324487)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.59/0.40 % (3324496)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3009258321:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.59/0.40 % (3324498)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.59/0.40 % (3324498)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.59/0.40 % (3324496)Instruction limit reached!
% 0.59/0.40 % (3324496)------------------------------
% 0.59/0.40 % (3324496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.40 % (3324496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.40 % (3324496)CaDiCaL version: 2.1.3
% 0.59/0.40 % (3324496)Termination reason: Instruction limit
% 0.59/0.40 % (3324496)Termination phase: Property scanning
% 0.59/0.40 % (3324496)Time elapsed: 0.006 s
% 0.59/0.40 % (3324496)Peak memory usage: 10 MB
% 0.59/0.40 % (3324496)Instructions burned: 25 (million)
% 0.59/0.40 % (3324492)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1999121357:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.59/0.40 % (3324493)lrs+10_16_si=on:nwc=1.5:random_seed=1165660164:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.59/0.40 % (3324494)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=46855216:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.59/0.40 % (3324497)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3074735396:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.59/0.40 % (3324495)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=718113714:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.59/0.40 % (3324498)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=1260831518:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.59/0.40 % (3324494)Instruction limit reached!
% 0.59/0.40 % (3324494)------------------------------
% 0.59/0.40 % (3324494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.40 % (3324494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.40 % (3324494)CaDiCaL version: 2.1.3
% 0.59/0.40 % (3324494)Termination reason: Instruction limit
% 0.59/0.40 % (3324494)Termination phase: shuffling
% 0.59/0.40 % (3324494)Time elapsed: 0.003 s
% 0.59/0.40 % (3324494)Peak memory usage: 10 MB
% 0.59/0.40 % (3324494)Instructions burned: 5 (million)
% 0.59/0.40 % (3324493)Instruction limit reached!
% 0.59/0.40 % (3324493)------------------------------
% 0.59/0.40 % (3324493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.40 % (3324493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.40 % (3324493)CaDiCaL version: 2.1.3
% 0.59/0.40 % (3324493)Termination reason: Instruction limit
% 0.59/0.40 % (3324493)Termination phase: shuffling
% 0.59/0.40 % (3324493)Time elapsed: 0.008 s
% 0.59/0.40 % (3324493)Peak memory usage: 10 MB
% 0.59/0.40 % (3324493)Instructions burned: 18 (million)
% 0.59/0.40 % (3324500)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=486982428:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.59/0.40 % (3324500)Instruction limit reached!
% 0.59/0.40 % (3324500)------------------------------
% 0.59/0.40 % (3324500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.40 % (3324500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.40 % (3324500)CaDiCaL version: 2.1.3
% 0.59/0.40 % (3324500)Termination reason: Instruction limit
% 0.59/0.40 % (3324500)Termination phase: shuffling
% 0.59/0.40 % (3324500)Time elapsed: 0.002 s
% 0.59/0.40 % (3324500)Peak memory usage: 10 MB
% 0.59/0.40 % (3324500)Instructions burned: 7 (million)
% 0.59/0.40 % (3324510)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1845354740:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.59/0.40 % (3324507)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=925105079:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.59/0.40 % (3324509)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.59/0.40 % (3324510)Instruction limit reached!
% 0.59/0.40 % (3324510)------------------------------
% 0.59/0.40 % (3324510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.40 % (3324510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.40 % (3324510)CaDiCaL version: 2.1.3
% 0.59/0.40 % (3324510)Termination reason: Instruction limit
% 0.59/0.40 % (3324510)Termination phase: shuffling
% 0.59/0.40 % (3324510)Time elapsed: 0.003 s
% 0.59/0.40 % (3324510)Peak memory usage: 10 MB
% 0.59/0.40 % (3324510)Instructions burned: 14 (million)
% 0.59/0.40 % (3324507)Instruction limit reached!
% 0.59/0.40 % (3324507)------------------------------
% 0.59/0.40 % (3324507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.40 % (3324507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.40 % (3324507)CaDiCaL version: 2.1.3
% 0.59/0.40 % (3324507)Termination reason: Instruction limit
% 0.59/0.40 % (3324507)Termination phase: shuffling
% 0.59/0.40 % (3324507)Time elapsed: 0.003 s
% 0.59/0.40 % (3324507)Peak memory usage: 10 MB
% 0.59/0.40 % (3324507)Instructions burned: 7 (million)
% 0.59/0.40 % (3324509)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3763384721:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.59/0.40 % (3324509)Instruction limit reached!
% 0.59/0.40 % (3324509)------------------------------
% 0.59/0.40 % (3324509)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.40 % (3324509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.40 % (3324509)CaDiCaL version: 2.1.3
% 0.59/0.40 % (3324509)Termination reason: Instruction limit
% 0.59/0.40 % (3324509)Termination phase: shuffling
% 0.59/0.40 % (3324509)Time elapsed: 0.004 s
% 0.59/0.40 % (3324509)Peak memory usage: 10 MB
% 0.59/0.40 % (3324509)Instructions burned: 8 (million)
% 0.59/0.40 % (3324513)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.59/0.40 % (3324513)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.59/0.40 % (3324513)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3729872828:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.59/0.40 % (3324492)Instruction limit reached!
% 0.59/0.40 % (3324492)------------------------------
% 0.59/0.40 % (3324492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.40 % (3324492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.40 % (3324492)CaDiCaL version: 2.1.3
% 0.59/0.40 % (3324492)Termination reason: Instruction limit
% 0.59/0.40 % (3324492)Termination phase: Property scanning
% 0.59/0.40 % (3324492)Time elapsed: 0.039 s
% 0.59/0.40 % (3324492)Peak memory usage: 12 MB
% 0.59/0.40 % (3324492)Instructions burned: 88 (million)
% 0.59/0.40 % (3324513)Instruction limit reached!
% 0.59/0.40 % (3324513)------------------------------
% 0.59/0.40 % (3324513)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.40 % (3324513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.40 % (3324513)CaDiCaL version: 2.1.3
% 0.59/0.40 % (3324513)Termination reason: Instruction limit
% 0.59/0.40 % (3324513)Termination phase: shuffling
% 0.59/0.40 % (3324513)Time elapsed: 0.006 s
% 0.59/0.40 % (3324513)Peak memory usage: 10 MB
% 0.59/0.40 % (3324513)Instructions burned: 28 (million)
% 0.59/0.40 % (3324514)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=3321785400:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.59/0.40 % (3324516)lrs+10_1_si=on:cs=on:random_seed=2192463533:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.59/0.40 % (3324519)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1889325101:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.59/0.40 % (3324518)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.59/0.40 % (3324497)Instruction limit reached!
% 0.59/0.40 % (3324497)------------------------------
% 0.59/0.40 % (3324497)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.40 % (3324497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.40 % (3324497)CaDiCaL version: 2.1.3
% 0.59/0.40 % (3324497)Termination reason: Instruction limit
% 0.59/0.40 % (3324497)Termination phase: Property scanning
% 0.59/0.40 % (3324497)Time elapsed: 0.055 s
% 0.59/0.40 % (3324497)Peak memory usage: 12 MB
% 0.59/0.40 % (3324497)Instructions burned: 75 (million)
% 0.59/0.40 % (3324516)Instruction limit reached!
% 0.59/0.40 % (3324516)------------------------------
% 0.59/0.40 % (3324516)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.40 % (3324516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.40 % (3324516)CaDiCaL version: 2.1.3
% 0.59/0.40 % (3324516)Termination reason: Instruction limit
% 0.59/0.40 % (3324516)Termination phase: shuffling
% 0.59/0.40 % (3324516)Time elapsed: 0.004 s
% 0.59/0.40 % (3324516)Peak memory usage: 10 MB
% 0.59/0.40 % (3324516)Instructions burned: 8 (million)
% 0.59/0.40 % (3324518)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=2443171493:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.59/0.40 % (3324518)Instruction limit reached!
% 0.59/0.40 % (3324518)------------------------------
% 0.59/0.40 % (3324518)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.40 % (3324518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.40 % (3324518)CaDiCaL version: 2.1.3
% 0.59/0.40 % (3324518)Termination reason: Instruction limit
% 0.59/0.40 % (3324518)Termination phase: shuffling
% 0.59/0.40 % (3324518)Time elapsed: 0.003 s
% 0.59/0.40 % (3324518)Peak memory usage: 10 MB
% 0.59/0.40 % (3324518)Instructions burned: 7 (million)
% 0.59/0.40 % (3324519)Instruction limit reached!
% 0.59/0.40 % (3324519)------------------------------
% 0.59/0.40 % (3324519)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.40 % (3324519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.40 % (3324519)CaDiCaL version: 2.1.3
% 0.59/0.40 % (3324519)Termination reason: Instruction limit
% 0.59/0.40 % (3324519)Termination phase: Property scanning
% 0.59/0.40 % (3324519)Time elapsed: 0.009 s
% 0.59/0.40 % (3324519)Peak memory usage: 11 MB
% 0.59/0.40 % (3324519)Instructions burned: 39 (million)
% 0.59/0.40 % (3324498)Instruction limit reached!
% 0.59/0.40 % (3324498)------------------------------
% 0.59/0.40 % (3324498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.40 % (3324498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.40 % (3324498)CaDiCaL version: 2.1.3
% 0.59/0.40 % (3324498)Termination reason: Instruction limit
% 0.59/0.40 % (3324498)Termination phase: Saturation
% 0.59/0.40 % (3324498)Time elapsed: 0.070 s
% 0.59/0.40 % (3324498)Peak memory usage: 14 MB
% 0.59/0.40 % (3324498)Instructions burned: 157 (million)
% 0.59/0.40 % (3324527)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=4145857379:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.59/0.40 % (3324523)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=666671984:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.59/0.40 % (3324524)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=49520113:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.59/0.40 % (3324526)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=847318788:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.59/0.40 % (3324495) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3324487-3324495"...
% 0.59/0.40 % (3324514)Instruction limit reached!
% 0.59/0.40 % (3324514)------------------------------
% 0.59/0.40 % (3324514)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.40 % (3324514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.40 % (3324514)CaDiCaL version: 2.1.3
% 0.59/0.40 % (3324514)Termination reason: Instruction limit
% 0.59/0.40 % (3324514)Termination phase: Property scanning
% 0.59/0.40 % (3324514)Time elapsed: 0.036 s
% 0.59/0.40 % (3324514)Peak memory usage: 11 MB
% 0.59/0.40 % (3324514)Instructions burned: 87 (million)
% 0.59/0.40 % (3324495)...printing done.
% 0.59/0.40 % (3324495)Refutation found. Thanks to Tanya!
% 0.59/0.40 % SZS status Theorem for theBenchmark
% 0.59/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.59/0.40 % (3324495)------------------------------
% 0.59/0.40 % (3324495)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.59/0.40 % (3324495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.59/0.40 % (3324495)CaDiCaL version: 2.1.3
% 0.59/0.40 % (3324495)Termination reason: Refutation
% 0.59/0.40 % (3324495)Time elapsed: 0.083 s
% 0.59/0.40 % (3324495)Peak memory usage: 15 MB
% 0.59/0.40 % (3324495)Instructions burned: 180 (million)
% 0.59/0.40 % (3324487)Success in time 0.138 s
% 0.59/0.40 % Vampire exiting
%------------------------------------------------------------------------------