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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : ITP110^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n003.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 08:10:44 AM UTC 2026

% Result   : Theorem 0.76s 0.41s
% Output   : Refutation 0.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   44 (   9 unt;   0 typ;   4 def)
%            Number of atoms       :  148 (  32 equ;   0 cnn)
%            Maximal formula atoms :    3 (   3 avg)
%            Number of connectives :  155 (  33   ~;  30   |;   0   &;  82   @)
%                                         (   4 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :   17 (  16 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  363 ( 360 usr;  28 con; 0-4 aty)
%            Number of variables   :    5 (   0 sgn   5   !;   0   ?;   5   :)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    set_Pr1158285382l_real: $tType ).

thf(type_def_6,type,
    set_Pr597221087l_real: $tType ).

thf(type_def_7,type,
    set_se1849684334_ereal: $tType ).

thf(type_def_8,type,
    set_Pr1928503567a_real: $tType ).

thf(type_def_9,type,
    set_se767749006_ereal: $tType ).

thf(type_def_10,type,
    set_Extended_ereal_o: $tType ).

thf(type_def_11,type,
    set_set_set_a: $tType ).

thf(type_def_12,type,
    product_prod_a_real: $tType ).

thf(type_def_13,type,
    set_Extended_ereal: $tType ).

thf(type_def_14,type,
    set_set_a: $tType ).

thf(type_def_15,type,
    set_a_o: $tType ).

thf(type_def_16,type,
    set_real: $tType ).

thf(type_def_17,type,
    extended_ereal: $tType ).

thf(type_def_18,type,
    set_a: $tType ).

thf(type_def_19,type,
    real: $tType ).

thf(type_def_20,type,
    a: $tType ).

thf(type_def_21,type,
    sTfun: ( $tType * $tType ) > $tType ).

thf(func_def_0,type,
    comple179807490real_o: set_Extended_ereal_o > extended_ereal > $o ).

thf(func_def_1,type,
    complete_Sup_Sup_a_o: set_a_o > a > $o ).

thf(func_def_2,type,
    comple1161760187_ereal: set_Extended_ereal > extended_ereal ).

thf(func_def_3,type,
    comple2129349247p_real: set_real > real ).

thf(func_def_4,type,
    comple767846299_ereal: set_se767749006_ereal > set_Extended_ereal ).

thf(func_def_5,type,
    comple1517911419_ereal: set_se1849684334_ereal > set_se767749006_ereal ).

thf(func_def_6,type,
    comple968993579_set_a: set_set_set_a > set_set_a ).

thf(func_def_7,type,
    comple1766734283_set_a: set_set_a > set_a ).

thf(func_def_8,type,
    convex291263275l_real: set_Pr1158285382l_real > $o ).

thf(func_def_9,type,
    convex78185044a_real: set_Pr1928503567a_real > $o ).

thf(func_def_10,type,
    convex_a: set_a > $o ).

thf(func_def_11,type,
    extend1289208545_ereal: extended_ereal ).

thf(func_def_12,type,
    extended_MInfty: extended_ereal ).

thf(func_def_13,type,
    extended_PInfty: extended_ereal ).

thf(func_def_14,type,
    extended_ereal2: real > extended_ereal ).

thf(func_def_15,type,
    extend1716541707_ereal: extended_ereal > real ).

thf(func_def_16,type,
    times_1966848393_ereal: extended_ereal > extended_ereal > extended_ereal ).

thf(func_def_17,type,
    times_times_real: real > real > real ).

thf(func_def_18,type,
    uminus1208298309_ereal: extended_ereal > extended_ereal ).

thf(func_def_19,type,
    uminus_uminus_real: real > real ).

thf(func_def_20,type,
    uminus360668453_ereal: set_Extended_ereal > set_Extended_ereal ).

thf(func_def_21,type,
    uminus_uminus_set_a: set_a > set_a ).

thf(func_def_22,type,
    zero_z163181189_ereal: extended_ereal ).

thf(func_def_23,type,
    zero_zero_real: real ).

thf(func_def_24,type,
    lower_331963542_ereal: set_Extended_ereal > ( extended_ereal > extended_ereal ) > set_Pr597221087l_real ).

thf(func_def_25,type,
    lower_870348689a_real: set_Pr1928503567a_real > ( product_prod_a_real > extended_ereal ) > set_Pr1158285382l_real ).

thf(func_def_26,type,
    lower_930854854raph_a: set_a > ( a > extended_ereal ) > set_Pr1928503567a_real ).

thf(func_def_27,type,
    lower_128423320e_on_a: set_a > ( a > extended_ereal ) > $o ).

thf(func_def_28,type,
    lower_1023700310e_on_a: set_a > ( a > extended_ereal ) > $o ).

thf(func_def_29,type,
    lower_591730471a_real: set_Pr1928503567a_real > ( product_prod_a_real > extended_ereal ) > $o ).

thf(func_def_30,type,
    lower_311861424x_on_a: set_a > ( a > extended_ereal ) > $o ).

thf(func_def_31,type,
    lower_1359521925a_real: ( product_prod_a_real > extended_ereal ) > set_Pr1928503567a_real ).

thf(func_def_32,type,
    lower_1391529426main_a: ( a > extended_ereal ) > set_a ).

thf(func_def_33,type,
    lower_1486931688e_on_a: set_a > ( a > extended_ereal ) > $o ).

thf(func_def_34,type,
    ord_le824540014_ereal: extended_ereal > extended_ereal > $o ).

thf(func_def_35,type,
    ord_less_eq_real: real > real > $o ).

thf(func_def_36,type,
    ord_le88246606_ereal: set_Extended_ereal > set_Extended_ereal > $o ).

thf(func_def_37,type,
    ord_le1586073967a_real: set_Pr1928503567a_real > set_Pr1928503567a_real > $o ).

thf(func_def_38,type,
    ord_less_eq_set_real: set_real > set_real > $o ).

thf(func_def_39,type,
    ord_le1153389358_ereal: set_se767749006_ereal > set_se767749006_ereal > $o ).

thf(func_def_40,type,
    ord_le318720350_set_a: set_set_a > set_set_a > $o ).

thf(func_def_41,type,
    ord_less_eq_set_a: set_a > set_a > $o ).

thf(func_def_42,type,
    order_1158471719_ereal: ( extended_ereal > $o ) > extended_ereal ).

thf(func_def_43,type,
    order_Greatest_real: ( real > $o ) > real ).

thf(func_def_44,type,
    top_to398855007real_o: extended_ereal > $o ).

thf(func_def_45,type,
    top_top_a_o: a > $o ).

thf(func_def_46,type,
    top_top_o: $o ).

thf(func_def_47,type,
    top_to802031902_ereal: extended_ereal ).

thf(func_def_48,type,
    top_to772344469real_o: set_Extended_ereal_o ).

thf(func_def_49,type,
    top_top_set_a_o: set_a_o ).

thf(func_def_50,type,
    top_to1767659262_ereal: set_Extended_ereal ).

thf(func_def_51,type,
    top_to2138011583a_real: set_Pr1928503567a_real ).

thf(func_def_52,type,
    top_top_set_real: set_real ).

thf(func_def_53,type,
    top_to692740318_ereal: set_se767749006_ereal ).

thf(func_def_54,type,
    top_to1791633086_ereal: set_se1849684334_ereal ).

thf(func_def_55,type,
    top_to1486684270_set_a: set_set_set_a ).

thf(func_def_56,type,
    top_top_set_set_a: set_set_a ).

thf(func_def_57,type,
    top_top_set_a: set_a ).

thf(func_def_58,type,
    divide595620860_ereal: extended_ereal > extended_ereal > extended_ereal ).

thf(func_def_59,type,
    divide_divide_real: real > real > real ).

thf(func_def_60,type,
    collec247695033_ereal: ( extended_ereal > $o ) > set_Extended_ereal ).

thf(func_def_61,type,
    collec1714955950a_real: ( product_prod_a_real > $o ) > set_Pr1928503567a_real ).

thf(func_def_62,type,
    collect_a: ( a > $o ) > set_a ).

thf(func_def_63,type,
    member1900190071_ereal: extended_ereal > set_Extended_ereal > $o ).

thf(func_def_64,type,
    member1103263856a_real: product_prod_a_real > set_Pr1928503567a_real > $o ).

thf(func_def_65,type,
    member_real: real > set_real > $o ).

thf(func_def_66,type,
    member450560855_ereal: set_Extended_ereal > set_se767749006_ereal > $o ).

thf(func_def_67,type,
    member_set_a: set_a > set_set_a > $o ).

thf(func_def_68,type,
    member_a: a > set_a > $o ).

thf(func_def_69,type,
    f: a > extended_ereal ).

thf(func_def_73,type,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_74,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_75,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_76,type,
    vAND: $o > $o > $o ).

thf(func_def_77,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_78,type,
    vIMP: $o > $o > $o ).

thf(func_def_79,type,
    db2: 
      !>[X0: $tType] : X0 ).

thf(func_def_80,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(func_def_81,type,
    vSIGMA: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_82,type,
    vNOT: $o > $o ).

thf(func_def_83,type,
    vOR: $o > $o > $o ).

thf(func_def_84,type,
    sP0: extended_ereal > extended_ereal > extended_ereal > $o ).

thf(func_def_85,type,
    sP1: extended_ereal > extended_ereal > extended_ereal > $o ).

thf(func_def_86,type,
    sP2: extended_ereal > extended_ereal > extended_ereal > $o ).

thf(func_def_87,type,
    sP3: real > real > real > $o ).

thf(func_def_88,type,
    sP4: real > real > real > $o ).

thf(func_def_89,type,
    sP5: real > real > real > $o ).

thf(func_def_90,type,
    sP6: extended_ereal > extended_ereal > $o ).

thf(func_def_91,type,
    sP7: extended_ereal > extended_ereal > $o ).

thf(func_def_92,type,
    sP8: extended_ereal > extended_ereal > $o ).

thf(func_def_93,type,
    sP9: extended_ereal > extended_ereal > $o ).

thf(func_def_94,type,
    sP10: extended_ereal > extended_ereal > $o ).

thf(func_def_95,type,
    sP11: extended_ereal > extended_ereal > $o ).

thf(func_def_96,type,
    sP12: extended_ereal > extended_ereal > extended_ereal > $o ).

thf(func_def_97,type,
    sP13: extended_ereal > extended_ereal > extended_ereal > $o ).

thf(func_def_98,type,
    sP14: extended_ereal > extended_ereal > extended_ereal > $o ).

thf(func_def_99,type,
    sP15: extended_ereal > extended_ereal > extended_ereal > $o ).

thf(func_def_100,type,
    sP16: extended_ereal > extended_ereal > extended_ereal > $o ).

thf(func_def_101,type,
    sP17: extended_ereal > extended_ereal > extended_ereal > $o ).

thf(func_def_102,type,
    sP18: extended_ereal > extended_ereal > extended_ereal > $o ).

thf(func_def_103,type,
    sP19: extended_ereal > extended_ereal > extended_ereal > $o ).

thf(func_def_104,type,
    sP20: extended_ereal > extended_ereal > extended_ereal > $o ).

thf(func_def_105,type,
    sP21: extended_ereal > extended_ereal > extended_ereal > $o ).

thf(func_def_106,type,
    sP22: extended_ereal > extended_ereal > extended_ereal > $o ).

thf(func_def_107,type,
    sP23: extended_ereal > extended_ereal > extended_ereal > $o ).

thf(func_def_108,type,
    sP24: extended_ereal > extended_ereal > extended_ereal > $o ).

thf(func_def_109,type,
    sP25: extended_ereal > extended_ereal > extended_ereal > $o ).

thf(func_def_110,type,
    sP26: extended_ereal > extended_ereal > extended_ereal > $o ).

thf(func_def_111,type,
    sP27: extended_ereal > extended_ereal > extended_ereal > $o ).

thf(func_def_112,type,
    sP28: extended_ereal > extended_ereal > extended_ereal > $o ).

thf(func_def_113,type,
    sP29: extended_ereal > extended_ereal > extended_ereal > $o ).

thf(func_def_114,type,
    sP30: extended_ereal > extended_ereal > extended_ereal > $o ).

thf(func_def_115,type,
    sP31: extended_ereal > extended_ereal > extended_ereal > $o ).

thf(func_def_116,type,
    sP32: extended_ereal > extended_ereal > extended_ereal > $o ).

thf(func_def_117,type,
    sP33: extended_ereal > extended_ereal > extended_ereal > $o ).

thf(func_def_118,type,
    sP34: extended_ereal > extended_ereal > extended_ereal > $o ).

thf(func_def_119,type,
    sP35: extended_ereal > extended_ereal > extended_ereal > $o ).

thf(func_def_120,type,
    sP36: extended_ereal > extended_ereal > extended_ereal > $o ).

thf(func_def_121,type,
    sP37: extended_ereal > extended_ereal > extended_ereal > $o ).

thf(func_def_122,type,
    sK38: set_real > real ).

thf(func_def_123,type,
    sK39: set_se767749006_ereal > set_Extended_ereal ).

thf(func_def_124,type,
    sK40: set_set_a > set_a ).

thf(func_def_125,type,
    sK41: set_a > a ).

thf(func_def_126,type,
    sK42: set_Extended_ereal > extended_ereal ).

thf(func_def_127,type,
    sK43: real ).

thf(func_def_128,type,
    sK44: set_Extended_ereal ).

thf(func_def_129,type,
    sK45: set_a ).

thf(func_def_130,type,
    sK46: a ).

thf(func_def_131,type,
    sK47: extended_ereal ).

thf(func_def_132,type,
    sK48: set_set_a > set_set_a > set_a ).

thf(func_def_133,type,
    sK49: set_se767749006_ereal > set_se767749006_ereal > set_Extended_ereal ).

thf(func_def_134,type,
    sK50: set_real > set_real > real ).

thf(func_def_135,type,
    sK51: set_Pr1928503567a_real > set_Pr1928503567a_real > product_prod_a_real ).

thf(func_def_136,type,
    sK52: set_Extended_ereal > set_Extended_ereal > extended_ereal ).

thf(func_def_137,type,
    sK53: set_a > set_a > a ).

thf(func_def_138,type,
    sK54: ( a > $o ) > ( a > $o ) > a ).

thf(func_def_139,type,
    sK55: ( extended_ereal > $o ) > ( extended_ereal > $o ) > extended_ereal ).

thf(func_def_140,type,
    sK56: ( product_prod_a_real > $o ) > ( product_prod_a_real > $o ) > product_prod_a_real ).

thf(func_def_141,type,
    sK57: ( extended_ereal > extended_ereal ) > extended_ereal ).

thf(func_def_142,type,
    sK58: ( extended_ereal > extended_ereal ) > extended_ereal ).

thf(func_def_143,type,
    sK59: ( real > extended_ereal ) > real ).

thf(func_def_144,type,
    sK60: ( real > extended_ereal ) > real ).

thf(func_def_145,type,
    sK61: ( extended_ereal > real ) > extended_ereal ).

thf(func_def_146,type,
    sK62: ( extended_ereal > real ) > extended_ereal ).

thf(func_def_147,type,
    sK63: ( real > real ) > real ).

thf(func_def_148,type,
    sK64: ( real > real ) > real ).

thf(func_def_149,type,
    sK65: ( set_a > extended_ereal ) > set_a ).

thf(func_def_150,type,
    sK66: ( set_a > extended_ereal ) > set_a ).

thf(func_def_151,type,
    sK67: ( set_Extended_ereal > extended_ereal ) > set_Extended_ereal ).

thf(func_def_152,type,
    sK68: ( set_Extended_ereal > extended_ereal ) > set_Extended_ereal ).

thf(func_def_153,type,
    sK69: ( set_a > real ) > set_a ).

thf(func_def_154,type,
    sK70: ( set_a > real ) > set_a ).

thf(func_def_155,type,
    sK71: ( set_Extended_ereal > real ) > set_Extended_ereal ).

thf(func_def_156,type,
    sK72: ( set_Extended_ereal > real ) > set_Extended_ereal ).

thf(func_def_157,type,
    sK73: ( extended_ereal > set_a ) > extended_ereal ).

thf(func_def_158,type,
    sK74: ( extended_ereal > set_a ) > extended_ereal ).

thf(func_def_159,type,
    sK75: ( real > set_a ) > real ).

thf(func_def_160,type,
    sK76: ( real > set_a ) > real ).

thf(func_def_161,type,
    sK77: ( set_Pr1928503567a_real > set_a ) > set_Pr1928503567a_real ).

thf(func_def_162,type,
    sK78: ( set_Pr1928503567a_real > set_a ) > set_Pr1928503567a_real ).

thf(func_def_163,type,
    sK79: ( set_Pr1928503567a_real > set_Extended_ereal ) > set_Pr1928503567a_real ).

thf(func_def_164,type,
    sK80: ( set_Pr1928503567a_real > set_Extended_ereal ) > set_Pr1928503567a_real ).

thf(func_def_165,type,
    sK81: ( set_Pr1928503567a_real > set_Pr1928503567a_real ) > set_Pr1928503567a_real ).

thf(func_def_166,type,
    sK82: ( set_Pr1928503567a_real > set_Pr1928503567a_real ) > set_Pr1928503567a_real ).

thf(func_def_167,type,
    sK83: ( extended_ereal > extended_ereal ) > extended_ereal ).

thf(func_def_168,type,
    sK84: ( extended_ereal > extended_ereal ) > extended_ereal ).

thf(func_def_169,type,
    sK85: ( extended_ereal > real ) > extended_ereal ).

thf(func_def_170,type,
    sK86: ( extended_ereal > real ) > extended_ereal ).

thf(func_def_171,type,
    sK87: ( real > extended_ereal ) > real ).

thf(func_def_172,type,
    sK88: ( real > extended_ereal ) > real ).

thf(func_def_173,type,
    sK89: ( real > real ) > real ).

thf(func_def_174,type,
    sK90: ( real > real ) > real ).

thf(func_def_175,type,
    sK91: ( extended_ereal > extended_ereal ) > extended_ereal ).

thf(func_def_176,type,
    sK92: ( extended_ereal > extended_ereal ) > extended_ereal ).

thf(func_def_177,type,
    sK93: ( extended_ereal > real ) > extended_ereal ).

thf(func_def_178,type,
    sK94: ( extended_ereal > real ) > extended_ereal ).

thf(func_def_179,type,
    sK95: ( real > extended_ereal ) > real ).

thf(func_def_180,type,
    sK96: ( real > extended_ereal ) > real ).

thf(func_def_181,type,
    sK97: ( real > real ) > real ).

thf(func_def_182,type,
    sK98: ( real > real ) > real ).

thf(func_def_183,type,
    sK99: ( extended_ereal > extended_ereal ) > extended_ereal ).

thf(func_def_184,type,
    sK100: ( extended_ereal > extended_ereal ) > extended_ereal ).

thf(func_def_185,type,
    sK101: ( extended_ereal > real ) > extended_ereal ).

thf(func_def_186,type,
    sK102: ( extended_ereal > real ) > extended_ereal ).

thf(func_def_187,type,
    sK103: ( real > extended_ereal ) > real ).

thf(func_def_188,type,
    sK104: ( real > extended_ereal ) > real ).

thf(func_def_189,type,
    sK105: ( real > real ) > real ).

thf(func_def_190,type,
    sK106: ( real > real ) > real ).

thf(func_def_191,type,
    sK107: ( extended_ereal > extended_ereal > $o ) > extended_ereal ).

thf(func_def_192,type,
    sK108: ( extended_ereal > extended_ereal > $o ) > extended_ereal ).

thf(func_def_193,type,
    sK109: ( extended_ereal > extended_ereal > $o ) > extended_ereal ).

thf(func_def_194,type,
    sK110: ( extended_ereal > extended_ereal > $o ) > extended_ereal ).

thf(func_def_195,type,
    sK111: ( real > real > $o ) > real ).

thf(func_def_196,type,
    sK112: ( real > real > $o ) > real ).

thf(func_def_197,type,
    sK113: ( real > real > $o ) > real ).

thf(func_def_198,type,
    sK114: ( real > real > $o ) > real ).

thf(func_def_199,type,
    sK115: extended_ereal > set_Extended_ereal > extended_ereal ).

thf(func_def_200,type,
    sK116: extended_ereal > set_Extended_ereal > extended_ereal ).

thf(func_def_201,type,
    sK117: set_Extended_ereal > set_Extended_ereal > extended_ereal ).

thf(func_def_202,type,
    sK118: extended_ereal > set_Extended_ereal > extended_ereal ).

thf(func_def_203,type,
    sK119: set_se767749006_ereal > extended_ereal > set_Extended_ereal ).

thf(func_def_204,type,
    sK120: set_set_a > a > set_a ).

thf(func_def_205,type,
    sK121: set_real > real > real ).

thf(func_def_206,type,
    sK122: set_Extended_ereal > extended_ereal > extended_ereal ).

thf(func_def_207,type,
    sK123: real > set_real > real ).

thf(func_def_208,type,
    sK124: real > set_real > real ).

thf(func_def_209,type,
    sK125: set_Extended_ereal > extended_ereal ).

thf(func_def_210,type,
    sK126: extended_ereal > set_Extended_ereal > extended_ereal ).

thf(func_def_211,type,
    sK127: set_Extended_ereal > extended_ereal ).

thf(func_def_212,type,
    sK128: extended_ereal > set_Extended_ereal > extended_ereal ).

thf(func_def_213,type,
    sK129: ( extended_ereal > $o ) > ( extended_ereal > $o ) > extended_ereal ).

thf(func_def_214,type,
    sK130: extended_ereal > ( extended_ereal > $o ) > extended_ereal ).

thf(func_def_215,type,
    sK131: ( real > $o ) > ( real > $o ) > real ).

thf(func_def_216,type,
    sK132: real > ( real > $o ) > real ).

thf(func_def_217,type,
    sK133: extended_ereal > ( extended_ereal > $o ) > extended_ereal ).

thf(func_def_218,type,
    sK134: real > ( real > $o ) > real ).

thf(func_def_219,type,
    sK135: extended_ereal > extended_ereal > real ).

thf(func_def_220,type,
    sK136: extended_ereal > extended_ereal > real ).

thf(func_def_221,type,
    sK137: extended_ereal > real ).

thf(func_def_222,type,
    sK138: extended_ereal > real ).

thf(func_def_223,type,
    sK139: extended_ereal > real ).

thf(func_def_224,type,
    sK140: extended_ereal > real ).

thf(func_def_225,type,
    sK141: extended_ereal > real ).

thf(func_def_226,type,
    sK142: extended_ereal > real ).

thf(func_def_227,type,
    sK143: extended_ereal > real ).

thf(func_def_228,type,
    sK144: extended_ereal > real ).

thf(func_def_229,type,
    sK145: extended_ereal > real ).

thf(func_def_230,type,
    sK146: extended_ereal > real ).

thf(func_def_231,type,
    sK147: extended_ereal > real ).

thf(func_def_232,type,
    sK148: extended_ereal > real ).

thf(func_def_233,type,
    sK149: extended_ereal > real ).

thf(func_def_234,type,
    sK150: extended_ereal > real ).

thf(func_def_235,type,
    sK151: extended_ereal > real ).

thf(func_def_236,type,
    sK152: extended_ereal > real ).

thf(func_def_237,type,
    sK153: extended_ereal > real ).

thf(func_def_238,type,
    sK154: extended_ereal > real ).

thf(func_def_239,type,
    sK155: extended_ereal > real ).

thf(func_def_240,type,
    sK156: extended_ereal > real ).

thf(func_def_241,type,
    sK157: extended_ereal > real ).

thf(func_def_242,type,
    sK158: extended_ereal > real ).

thf(func_def_243,type,
    sK159: extended_ereal > real ).

thf(func_def_244,type,
    sK160: extended_ereal > real ).

thf(func_def_245,type,
    sK161: extended_ereal > real ).

thf(func_def_246,type,
    sK162: extended_ereal > real ).

thf(func_def_247,type,
    sK163: extended_ereal > real ).

thf(func_def_248,type,
    sK164: extended_ereal > real ).

thf(func_def_249,type,
    sK165: extended_ereal > real ).

thf(func_def_250,type,
    sK166: extended_ereal > real ).

thf(func_def_251,type,
    sK167: extended_ereal > real ).

thf(func_def_252,type,
    sK168: extended_ereal > real ).

thf(func_def_253,type,
    sK169: extended_ereal > real ).

thf(func_def_254,type,
    sK170: extended_ereal > real ).

thf(func_def_255,type,
    sK171: extended_ereal > real ).

thf(func_def_256,type,
    sK172: ( extended_ereal > $o ) > real ).

thf(func_def_257,type,
    sK173: ( extended_ereal > extended_ereal > $o ) > real ).

thf(func_def_258,type,
    sK174: ( extended_ereal > extended_ereal > $o ) > real ).

thf(func_def_259,type,
    sK175: ( extended_ereal > extended_ereal > $o ) > extended_ereal ).

thf(func_def_260,type,
    sK176: ( extended_ereal > extended_ereal > $o ) > extended_ereal ).

thf(func_def_261,type,
    sK177: ( extended_ereal > extended_ereal > $o ) > real ).

thf(func_def_262,type,
    sK178: ( extended_ereal > extended_ereal > $o ) > real ).

thf(func_def_263,type,
    sK179: ( extended_ereal > extended_ereal > $o ) > real ).

thf(func_def_264,type,
    sK180: ( extended_ereal > extended_ereal > $o ) > real ).

thf(func_def_265,type,
    sK181: ( extended_ereal > extended_ereal > $o ) > extended_ereal ).

thf(func_def_266,type,
    sK182: ( extended_ereal > extended_ereal > $o ) > extended_ereal ).

thf(func_def_267,type,
    sK183: ( extended_ereal > extended_ereal > $o ) > real ).

thf(func_def_268,type,
    sK184: ( extended_ereal > extended_ereal > $o ) > real ).

thf(func_def_269,type,
    sK185: ( extended_ereal > extended_ereal > $o ) > real ).

thf(func_def_270,type,
    sK186: ( extended_ereal > extended_ereal > $o ) > real ).

thf(func_def_271,type,
    sK187: ( extended_ereal > extended_ereal > $o ) > real ).

thf(func_def_272,type,
    sK188: ( extended_ereal > extended_ereal > $o ) > real ).

thf(func_def_273,type,
    sK189: ( extended_ereal > extended_ereal > $o ) > real ).

thf(func_def_274,type,
    sK190: ( extended_ereal > extended_ereal > $o ) > real ).

thf(func_def_275,type,
    sK191: extended_ereal > real ).

thf(func_def_276,type,
    sK192: ( extended_ereal > $o ) > real ).

thf(func_def_277,type,
    sK193: extended_ereal > real ).

thf(func_def_278,type,
    sK194: extended_ereal > real ).

thf(func_def_279,type,
    sK195: ( extended_ereal > $o ) > real ).

thf(func_def_280,type,
    sK196: extended_ereal > real ).

thf(func_def_281,type,
    sK197: extended_ereal > real ).

thf(func_def_282,type,
    sK198: ( extended_ereal > $o ) > real ).

thf(func_def_283,type,
    sK199: extended_ereal > real ).

thf(func_def_284,type,
    sK200: ( a > extended_ereal ) > ( a > extended_ereal ) > a ).

thf(func_def_285,type,
    sK201: ( a > extended_ereal ) > ( a > extended_ereal ) > product_prod_a_real ).

thf(func_def_286,type,
    sK202: set_set_a > a > set_a ).

thf(func_def_287,type,
    sK203: set_se767749006_ereal > extended_ereal > set_Extended_ereal ).

thf(func_def_288,type,
    sK204: set_Extended_ereal > extended_ereal ).

thf(func_def_289,type,
    sK205: set_a > a ).

thf(func_def_290,type,
    sK206: set_Extended_ereal > extended_ereal ).

thf(func_def_291,type,
    sK207: set_a > a ).

thf(func_def_292,type,
    sK208: set_Extended_ereal > set_Extended_ereal > extended_ereal ).

thf(func_def_293,type,
    sK209: extended_ereal > set_Extended_ereal > extended_ereal ).

thf(func_def_294,type,
    sK210: set_Pr1928503567a_real > set_Pr1928503567a_real > ( set_Pr1928503567a_real > set_Pr1928503567a_real ) > product_prod_a_real ).

thf(func_def_295,type,
    sK211: set_Pr1928503567a_real > set_Pr1928503567a_real > product_prod_a_real ).

thf(func_def_296,type,
    sK212: ( set_Pr1928503567a_real > set_Pr1928503567a_real ) > product_prod_a_real ).

thf(func_def_297,type,
    sK213: set_Pr1928503567a_real > set_Pr1928503567a_real > ( set_Pr1928503567a_real > set_Pr1928503567a_real ) > product_prod_a_real ).

thf(func_def_298,type,
    sK214: set_Pr1928503567a_real > set_Pr1928503567a_real > product_prod_a_real ).

thf(func_def_299,type,
    sK215: set_Extended_ereal > set_Pr1928503567a_real > ( set_Pr1928503567a_real > set_Extended_ereal ) > extended_ereal ).

thf(func_def_300,type,
    sK216: set_Pr1928503567a_real > set_Pr1928503567a_real > product_prod_a_real ).

thf(func_def_301,type,
    sK217: ( set_Pr1928503567a_real > set_Extended_ereal ) > extended_ereal ).

thf(func_def_302,type,
    sK218: set_Extended_ereal > set_Pr1928503567a_real > ( set_Pr1928503567a_real > set_Extended_ereal ) > extended_ereal ).

thf(func_def_303,type,
    sK219: set_Pr1928503567a_real > set_Pr1928503567a_real > product_prod_a_real ).

thf(func_def_304,type,
    sK220: set_a > set_Pr1928503567a_real > ( set_Pr1928503567a_real > set_a ) > a ).

thf(func_def_305,type,
    sK221: set_Pr1928503567a_real > set_Pr1928503567a_real > product_prod_a_real ).

thf(func_def_306,type,
    sK222: ( set_Pr1928503567a_real > set_a ) > a ).

thf(func_def_307,type,
    sK223: set_a > set_Pr1928503567a_real > ( set_Pr1928503567a_real > set_a ) > a ).

thf(func_def_308,type,
    sK224: set_Pr1928503567a_real > set_Pr1928503567a_real > product_prod_a_real ).

thf(func_def_309,type,
    sK225: ( real > set_a ) > set_a > real > a ).

thf(func_def_310,type,
    sK226: ( real > set_a ) > a ).

thf(func_def_311,type,
    sK227: ( real > set_a ) > set_a > real > a ).

thf(func_def_312,type,
    sK228: ( extended_ereal > set_a ) > set_a > extended_ereal > a ).

thf(func_def_313,type,
    sK229: ( extended_ereal > set_a ) > a ).

thf(func_def_314,type,
    sK230: ( extended_ereal > set_a ) > set_a > extended_ereal > a ).

thf(func_def_315,type,
    sK231: set_Extended_ereal > set_Extended_ereal > extended_ereal ).

thf(func_def_316,type,
    sK232: set_Extended_ereal > set_Extended_ereal > extended_ereal ).

thf(func_def_317,type,
    sK233: set_a > set_a > a ).

thf(func_def_318,type,
    sK234: set_a > set_a > a ).

thf(func_def_319,type,
    sK235: set_Extended_ereal > set_Extended_ereal > extended_ereal ).

thf(func_def_320,type,
    sK236: set_Extended_ereal > set_Extended_ereal > extended_ereal ).

thf(func_def_321,type,
    sK237: set_a > set_a > a ).

thf(func_def_322,type,
    sK238: set_a > set_a > a ).

thf(func_def_323,type,
    sK239: ( product_prod_a_real > $o ) > ( product_prod_a_real > $o ) > product_prod_a_real ).

thf(func_def_324,type,
    sK240: ( product_prod_a_real > $o ) > ( product_prod_a_real > $o ) > product_prod_a_real ).

thf(func_def_325,type,
    sK241: ( extended_ereal > $o ) > ( extended_ereal > $o ) > extended_ereal ).

thf(func_def_326,type,
    sK242: ( extended_ereal > $o ) > ( extended_ereal > $o ) > extended_ereal ).

thf(func_def_327,type,
    sK243: ( a > $o ) > ( a > $o ) > a ).

thf(func_def_328,type,
    sK244: ( a > $o ) > ( a > $o ) > a ).

thf(func_def_329,type,
    db3: 
      !>[X0: $tType] : X0 ).

thf(func_def_330,type,
    sK245: set_Pr1928503567a_real > set_Pr1928503567a_real > product_prod_a_real ).

thf(func_def_331,type,
    sK246: set_Pr1928503567a_real > set_Pr1928503567a_real > product_prod_a_real ).

thf(func_def_332,type,
    sK247: set_Extended_ereal > set_Extended_ereal > extended_ereal ).

thf(func_def_333,type,
    sK248: set_Extended_ereal > set_Extended_ereal > extended_ereal ).

thf(func_def_334,type,
    sK249: set_a > set_a > a ).

thf(func_def_335,type,
    sK250: set_a > set_a > a ).

thf(func_def_336,type,
    sK251: set_a > set_a > a ).

thf(func_def_337,type,
    sK252: set_Extended_ereal > set_Extended_ereal > extended_ereal ).

thf(func_def_338,type,
    sK253: set_Pr1928503567a_real > set_Pr1928503567a_real > product_prod_a_real ).

thf(func_def_339,type,
    sK254: set_real > set_real > real ).

thf(func_def_340,type,
    sK255: set_se767749006_ereal > set_se767749006_ereal > set_Extended_ereal ).

thf(func_def_341,type,
    sK256: set_set_a > set_set_a > set_a ).

thf(func_def_342,type,
    sK257: set_a > set_a > a ).

thf(func_def_343,type,
    sK258: set_Extended_ereal > set_Extended_ereal > extended_ereal ).

thf(func_def_344,type,
    sK259: set_Pr1928503567a_real > set_Pr1928503567a_real > product_prod_a_real ).

thf(func_def_345,type,
    sK260: set_real > set_real > real ).

thf(func_def_346,type,
    sK261: set_se767749006_ereal > set_se767749006_ereal > set_Extended_ereal ).

thf(func_def_347,type,
    sK262: set_set_a > set_set_a > set_a ).

thf(func_def_348,type,
    sK263: set_Pr1928503567a_real > set_Pr1928503567a_real > product_prod_a_real ).

thf(func_def_349,type,
    sK264: set_Pr1928503567a_real > set_Pr1928503567a_real > product_prod_a_real ).

thf(func_def_350,type,
    sK265: set_Extended_ereal > set_Extended_ereal > extended_ereal ).

thf(func_def_351,type,
    sK266: set_Extended_ereal > set_Extended_ereal > extended_ereal ).

thf(func_def_352,type,
    sK267: set_a > set_a > a ).

thf(func_def_353,type,
    sK268: set_a > set_a > a ).

thf(func_def_354,type,
    sK269: set_a > set_a > a ).

thf(func_def_355,type,
    sK270: set_Pr1928503567a_real > set_Pr1928503567a_real > product_prod_a_real ).

thf(func_def_356,type,
    sK271: ( a > extended_ereal ) > set_a ).

thf(func_def_357,type,
    sK272: ( a > extended_ereal ) > set_a ).

thf(f1,axiom,
    ( ( convex_a @ ( lower_1391529426main_a @ f ) )
   => ( lower_311861424x_on_a @ top_top_set_a @ f ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0__092_060open_062convex_A_Idomain_Af_J_A_092_060Longrightarrow_062_ALower__Semicontinuous__Mirabelle__mxyexokbxt_Oconvex__on_AUNIV_Af_092_060close_062) ).

thf(f3,axiom,
    ! [X0: a > extended_ereal] :
      ( ( lower_311861424x_on_a @ top_top_set_a @ X0 )
     => ( convex_a @ ( lower_1391529426main_a @ X0 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_convex__domain) ).

thf(f355,conjecture,
    ( ( lower_311861424x_on_a @ top_top_set_a @ f )
    = ( convex_a @ ( lower_1391529426main_a @ f ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

thf(f356,negated_conjecture,
    ( ( lower_311861424x_on_a @ top_top_set_a @ f )
   != ( convex_a @ ( lower_1391529426main_a @ f ) ) ),
    inference(negated_conjecture,[status(cth)],[f355]) ).

thf(f357,plain,
    ( ( convex_a @ ( lower_1391529426main_a @ f ) )
   => ( lower_311861424x_on_a @ top_top_set_a @ f ) ),
    inference(rectify,[],[f1]) ).

thf(f358,plain,
    ( ( ( convex_a @ ( lower_1391529426main_a @ f ) )
      = $true )
   => ( ( lower_311861424x_on_a @ top_top_set_a @ f )
      = $true ) ),
    inference(fool_elimination,[],[f357]) ).

thf(f361,plain,
    ! [X0: a > extended_ereal] :
      ( ( lower_311861424x_on_a @ top_top_set_a @ X0 )
     => ( convex_a @ ( lower_1391529426main_a @ X0 ) ) ),
    inference(rectify,[],[f3]) ).

thf(f362,plain,
    ! [X0: a > extended_ereal] :
      ( ( ( lower_311861424x_on_a @ top_top_set_a @ X0 )
        = $true )
     => ( ( convex_a @ ( lower_1391529426main_a @ X0 ) )
        = $true ) ),
    inference(fool_elimination,[],[f361]) ).

thf(f874,plain,
    ( ( convex_a @ ( lower_1391529426main_a @ f ) )
   != ( lower_311861424x_on_a @ top_top_set_a @ f ) ),
    inference(flattening,[],[f356]) ).

thf(f875,plain,
    ( ( ( lower_311861424x_on_a @ top_top_set_a @ f )
      = $true )
    | ( ( convex_a @ ( lower_1391529426main_a @ f ) )
     != $true ) ),
    inference(ennf_transformation,[],[f358]) ).

thf(f877,plain,
    ! [X0: a > extended_ereal] :
      ( ( ( convex_a @ ( lower_1391529426main_a @ X0 ) )
        = $true )
      | ( ( lower_311861424x_on_a @ top_top_set_a @ X0 )
       != $true ) ),
    inference(ennf_transformation,[],[f362]) ).

thf(f1383,plain,
    ( ( ( lower_311861424x_on_a @ top_top_set_a @ f )
      = $true )
    | ( ( convex_a @ ( lower_1391529426main_a @ f ) )
     != $true ) ),
    inference(cnf_transformation,[],[f875]) ).

thf(f1385,plain,
    ! [X0: a > extended_ereal] :
      ( ( ( lower_311861424x_on_a @ top_top_set_a @ X0 )
       != $true )
      | ( ( convex_a @ ( lower_1391529426main_a @ X0 ) )
        = $true ) ),
    inference(cnf_transformation,[],[f877]) ).

thf(f1944,plain,
    ( ( convex_a @ ( lower_1391529426main_a @ f ) )
   != ( lower_311861424x_on_a @ top_top_set_a @ f ) ),
    inference(cnf_transformation,[],[f874]) ).

thf(f2204,plain,
    ( ( ( convex_a @ ( lower_1391529426main_a @ f ) )
      = $true )
    | ( ( lower_311861424x_on_a @ top_top_set_a @ f )
      = $true ) ),
    inference(xor_proxy_clausification,[],[f1944]) ).

thf(f2205,plain,
    ( ( ( convex_a @ ( lower_1391529426main_a @ f ) )
      = $false )
    | ( ( lower_311861424x_on_a @ top_top_set_a @ f )
      = $false ) ),
    inference(xor_proxy_clausification,[],[f1944]) ).

thf(f3139,definition,
    ( spl273_1
  <=> ( ( lower_311861424x_on_a @ top_top_set_a @ f )
      = $false ) ),
    introduced(definition,[new_symbols(definition,[spl273_1])],[avatar_definition]) ).

thf(f3141,plain,
    ( ( ( lower_311861424x_on_a @ top_top_set_a @ f )
      = $false )
    | ~ spl273_1 ),
    inference(avatar_component_clause,[],[f3139]) ).

thf(f3143,definition,
    ( spl273_2
  <=> ( ( convex_a @ ( lower_1391529426main_a @ f ) )
      = $false ) ),
    introduced(definition,[new_symbols(definition,[spl273_2])],[avatar_definition]) ).

thf(f3145,plain,
    ( ( ( convex_a @ ( lower_1391529426main_a @ f ) )
      = $false )
    | ~ spl273_2 ),
    inference(avatar_component_clause,[],[f3143]) ).

thf(f3146,plain,
    ( spl273_1
    | spl273_2 ),
    inference(avatar_split_clause,[],[f2205,f3143,f3139]) ).

thf(f3148,definition,
    ( spl273_3
  <=> ( ( lower_311861424x_on_a @ top_top_set_a @ f )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl273_3])],[avatar_definition]) ).

thf(f3150,plain,
    ( ( ( lower_311861424x_on_a @ top_top_set_a @ f )
      = $true )
    | ~ spl273_3 ),
    inference(avatar_component_clause,[],[f3148]) ).

thf(f3152,definition,
    ( spl273_4
  <=> ( ( convex_a @ ( lower_1391529426main_a @ f ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl273_4])],[avatar_definition]) ).

thf(f3155,plain,
    ( spl273_3
    | spl273_4 ),
    inference(avatar_split_clause,[],[f2204,f3152,f3148]) ).

thf(f3156,plain,
    ( ~ spl273_4
    | spl273_3 ),
    inference(avatar_split_clause,[],[f1383,f3148,f3152]) ).

thf(f4051,plain,
    ( ( $true != $true )
    | ( ( convex_a @ ( lower_1391529426main_a @ f ) )
      = $true )
    | ~ spl273_3 ),
    inference(constrained_superposition,[],[f1385,f3150]) ).

thf(f4052,plain,
    ( ( ( convex_a @ ( lower_1391529426main_a @ f ) )
      = $true )
    | ~ spl273_3 ),
    inference(trivial_inequality_removal,[],[f4051]) ).

thf(f4054,plain,
    ( ( $true = $false )
    | ~ spl273_2
    | ~ spl273_3 ),
    inference(forward_demodulation,[],[f4052,f3145]) ).

thf(f4055,plain,
    ( $false
    | ~ spl273_2
    | ~ spl273_3 ),
    inference(trivial_inequality_removal,[],[f4054]) ).

thf(f4056,plain,
    ( ~ spl273_2
    | ~ spl273_3 ),
    inference(avatar_contradiction_clause,[],[f4055]) ).

thf(f4077,plain,
    ( ( $true = $false )
    | ~ spl273_1
    | ~ spl273_3 ),
    inference(constrained_superposition,[],[f3141,f3150]) ).

thf(f4082,plain,
    ( $false
    | ~ spl273_1
    | ~ spl273_3 ),
    inference(trivial_inequality_removal,[],[f4077]) ).

thf(f4083,plain,
    ( ~ spl273_1
    | ~ spl273_3 ),
    inference(avatar_contradiction_clause,[],[f4082]) ).

cnf(s1,plain,
    ( spl273_1
    | spl273_2 ),
    inference(sat_conversion,[],[f3146]) ).

cnf(s2,plain,
    ( spl273_3
    | spl273_4 ),
    inference(sat_conversion,[],[f3155]) ).

cnf(s3,plain,
    ( spl273_3
    | ~ spl273_4 ),
    inference(sat_conversion,[],[f3156]) ).

cnf(s16,plain,
    ( ~ spl273_2
    | ~ spl273_3 ),
    inference(sat_conversion,[],[f4056]) ).

cnf(s19,plain,
    ( ~ spl273_1
    | ~ spl273_3 ),
    inference(sat_conversion,[],[f4083]) ).

cnf(s25,plain,
    spl273_3,
    inference(rat,[],[s2,s3]) ).

cnf(s26,plain,
    ~ spl273_1,
    inference(rat,[],[s19,s25]) ).

cnf(s28,plain,
    ~ spl273_2,
    inference(rat,[],[s16,s25]) ).

cnf(s29,plain,
    $false,
    inference(rat,[],[s1,s28,s26]) ).

thf(f4085,plain,
    $false,
    inference(avatar_sat_refutation,[],[s29]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP110^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20  % Computer : n003.cluster.edu
% 0.09/0.20  % Model    : x86_64 x86_64
% 0.09/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20  % Memory   : 8046.5625MB
% 0.09/0.20  % OS       : Linux 6.8.0-71-generic
% 0.09/0.20  % CPULimit : 300
% 0.09/0.20  % WCLimit  : 300
% 0.09/0.20  % DateTime : Tue Sep 29 19:56:44 UTC 2026
% 0.09/0.20  % CPUTime  : 
% 0.09/0.20  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23  Running first-order model finding
% 0.09/0.23  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
% 0.76/0.41  % (2981908)Will run a generic schedule for satisfiability detection.
% 0.76/0.41  % (2981915)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2039348860:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.76/0.41  % (2981914)% WARNING: option uhcvi not known.
% 0.76/0.41  % (2981913)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1040661917_2999 on theBenchmark for (2999ds/0Mi)
% 0.76/0.41  % (2981917)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=968559328:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.76/0.41  % (2981914)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=941158762:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.76/0.41  % (2981916)dis+10_1_sil=32000:sp=arity:random_seed=1837290639:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.76/0.41  % (2981918)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3493410273:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.76/0.41  % (2981919)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2141558055:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.76/0.41  % (2981917)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.76/0.41  % (2981914)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.76/0.41  % (2981914)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.76/0.41  % (2981916)Instruction limit reached! 
% 0.76/0.41  % (2981916)------------------------------
% 0.76/0.41  % (2981916)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.41  % (2981916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.41  % (2981916)CaDiCaL version: 2.1.3
% 0.76/0.41  % (2981916)Termination reason: Instruction limit
% 0.76/0.41  % (2981916)Termination phase: Saturation
% 0.76/0.41  % (2981916)Time elapsed: 0.043 s
% 0.76/0.41  % (2981916)Peak memory usage: 13 MB
% 0.76/0.41  % (2981916)Instructions burned: 103 (million)
% 0.76/0.41  % Exception at run slice level
% 0.76/0.41  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.76/0.41  % (2981917)Instruction limit reached! 
% 0.76/0.41  % (2981917)------------------------------
% 0.76/0.41  % (2981917)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.41  % (2981917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.41  % (2981917)CaDiCaL version: 2.1.3
% 0.76/0.41  % (2981917)Termination reason: Instruction limit
% 0.76/0.41  % (2981917)Termination phase: Saturation
% 0.76/0.41  % (2981917)Time elapsed: 0.049 s
% 0.76/0.41  % (2981917)Peak memory usage: 13 MB
% 0.76/0.41  % (2981917)Instructions burned: 117 (million)
% 0.76/0.41  % (2981918)Instruction limit reached! 
% 0.76/0.41  % (2981918)------------------------------
% 0.76/0.41  % (2981918)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.41  % (2981918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.41  % (2981918)CaDiCaL version: 2.1.3
% 0.76/0.41  % (2981918)Termination reason: Instruction limit
% 0.76/0.41  % (2981918)Termination phase: Saturation
% 0.76/0.41  % (2981918)Time elapsed: 0.058 s
% 0.76/0.41  % (2981918)Peak memory usage: 13 MB
% 0.76/0.41  % (2981918)Instructions burned: 137 (million)
% 0.76/0.41  % (2981927)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1149109952:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.76/0.41  % (2981929)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=3368077630:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.76/0.41  % (2981919)Instruction limit reached! 
% 0.76/0.41  % (2981919)------------------------------
% 0.76/0.41  % (2981919)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.41  % (2981919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.41  % (2981919)CaDiCaL version: 2.1.3
% 0.76/0.41  % (2981919)Termination reason: Instruction limit
% 0.76/0.41  % (2981919)Termination phase: Saturation
% 0.76/0.41  % (2981919)Time elapsed: 0.069 s
% 0.76/0.41  % (2981919)Peak memory usage: 14 MB
% 0.76/0.41  % (2981919)Instructions burned: 159 (million)
% 0.76/0.41  % (2981930)ott-21_1_sil=16000:fs=off:random_seed=258685796:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.76/0.41  % (2981928)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1133872316:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.76/0.41  % (2981929)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.76/0.41  % (2981933)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3009821880:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 0.76/0.41  % Exception at run slice level
% 0.76/0.41  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.76/0.41  % (2981929)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.76/0.41  % (2981914) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2981908-2981914"...
% 0.76/0.41  % (2981914)...printing done.
% 0.76/0.41  % (2981914)Refutation found. Thanks to Tanya!
% 0.76/0.41  % SZS status Theorem for theBenchmark
% 0.76/0.41  % SZS output start Proof for theBenchmark
% See solution above
% 0.76/0.41  % (2981914)------------------------------
% 0.76/0.41  % (2981914)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.41  % (2981914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.41  % (2981914)CaDiCaL version: 2.1.3
% 0.76/0.41  % (2981914)Termination reason: Refutation
% 0.76/0.41  % (2981914)Time elapsed: 0.118 s
% 0.76/0.41  % (2981914)Peak memory usage: 15 MB
% 0.76/0.41  % (2981914)Instructions burned: 240 (million)
% 0.76/0.41  % (2981908)Success in time 0.174 s
% 0.76/0.41  % Vampire exiting
%------------------------------------------------------------------------------