%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP112^1 : 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 : n013.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 08:08:23 AM UTC 2026
% Result : Theorem 2.11s 0.78s
% Output : Refutation 2.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 25 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 70 ( 22 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 200 ( 9 ~; 4 |; 0 &; 184 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Number of types : 13 ( 12 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 337 ( 334 usr; 8 con; 0-4 aty)
% Number of variables : 48 ( 30 ^; 18 !; 0 ?; 48 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
filter2049122004_ereal: $tType ).
thf(type_def_6,type,
set_Extended_ereal: $tType ).
thf(type_def_7,type,
filter_real: $tType ).
thf(type_def_8,type,
filter_nat: $tType ).
thf(type_def_9,type,
filter_int: $tType ).
thf(type_def_10,type,
set_real: $tType ).
thf(type_def_11,type,
filter_a: $tType ).
thf(type_def_12,type,
extended_ereal: $tType ).
thf(type_def_13,type,
real: $tType ).
thf(type_def_14,type,
nat: $tType ).
thf(type_def_15,type,
int: $tType ).
thf(type_def_16,type,
a: $tType ).
thf(type_def_17,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
extend1289208545_ereal: extended_ereal ).
thf(func_def_1,type,
extended_ereal2: real > extended_ereal ).
thf(func_def_2,type,
at_bot_real: filter_real ).
thf(func_def_3,type,
at_top_nat: filter_nat ).
thf(func_def_4,type,
at_top_real: filter_real ).
thf(func_def_5,type,
filter1531173832_ereal: ( nat > extended_ereal ) > filter2049122004_ereal > filter_nat > $o ).
thf(func_def_6,type,
filterlim_nat_int: ( nat > int ) > filter_int > filter_nat > $o ).
thf(func_def_7,type,
filterlim_nat_nat: ( nat > nat ) > filter_nat > filter_nat > $o ).
thf(func_def_8,type,
filterlim_nat_real: ( nat > real ) > filter_real > filter_nat > $o ).
thf(func_def_9,type,
filterlim_nat_a: ( nat > a ) > filter_a > filter_nat > $o ).
thf(func_def_10,type,
filterlim_real_real: ( real > real ) > filter_real > filter_real > $o ).
thf(func_def_11,type,
comp_E1308517939al_nat: ( extended_ereal > extended_ereal ) > ( nat > extended_ereal ) > nat > extended_ereal ).
thf(func_def_12,type,
comp_E489644891real_a: ( extended_ereal > extended_ereal ) > ( a > extended_ereal ) > a > extended_ereal ).
thf(func_def_13,type,
comp_E1436437929nt_nat: ( extended_ereal > int ) > ( nat > extended_ereal ) > nat > int ).
thf(func_def_14,type,
comp_E1523169101at_nat: ( extended_ereal > nat ) > ( nat > extended_ereal ) > nat > nat ).
thf(func_def_15,type,
comp_E1477338153al_nat: ( extended_ereal > real ) > ( nat > extended_ereal ) > nat > real ).
thf(func_def_16,type,
comp_n1096781355al_nat: ( nat > extended_ereal ) > ( nat > nat ) > nat > extended_ereal ).
thf(func_def_17,type,
comp_nat_a_nat: ( nat > a ) > ( nat > nat ) > nat > a ).
thf(func_def_18,type,
comp_r1410008527al_nat: ( real > extended_ereal ) > ( nat > real ) > nat > extended_ereal ).
thf(func_def_19,type,
comp_real_int_nat: ( real > int ) > ( nat > real ) > nat > int ).
thf(func_def_20,type,
comp_real_nat_nat: ( real > nat ) > ( nat > real ) > nat > nat ).
thf(func_def_21,type,
comp_a1112243075al_nat: ( a > extended_ereal ) > ( nat > a ) > nat > extended_ereal ).
thf(func_def_22,type,
comp_a780206603real_a: ( a > extended_ereal ) > ( a > a ) > a > extended_ereal ).
thf(func_def_23,type,
comp_a_int_nat: ( a > int ) > ( nat > a ) > nat > int ).
thf(func_def_24,type,
comp_a_nat_nat: ( a > nat ) > ( nat > a ) > nat > nat ).
thf(func_def_25,type,
comp_a_real_nat: ( a > real ) > ( nat > a ) > nat > real ).
thf(func_def_26,type,
comp_a_a_nat: ( a > a ) > ( nat > a ) > nat > a ).
thf(func_def_27,type,
plus_p2118002693_ereal: extended_ereal > extended_ereal > extended_ereal ).
thf(func_def_28,type,
plus_plus_int: int > int > int ).
thf(func_def_29,type,
plus_plus_nat: nat > nat > nat ).
thf(func_def_30,type,
plus_plus_real: real > real > real ).
thf(func_def_31,type,
uminus1208298309_ereal: extended_ereal > extended_ereal ).
thf(func_def_32,type,
uminus_uminus_int: int > int ).
thf(func_def_33,type,
uminus_uminus_real: real > real ).
thf(func_def_34,type,
uniq_Extended_ereal: ( extended_ereal > $o ) > $o ).
thf(func_def_35,type,
uniq_real: ( real > $o ) > $o ).
thf(func_def_36,type,
uniq_a: ( a > $o ) > $o ).
thf(func_def_37,type,
liminf1045857232_ereal: filter_nat > ( nat > extended_ereal ) > extended_ereal ).
thf(func_def_38,type,
lower_1087098792_ereal: extended_ereal > ( extended_ereal > extended_ereal ) > $o ).
thf(func_def_39,type,
lower_48196818al_int: extended_ereal > ( extended_ereal > int ) > $o ).
thf(func_def_40,type,
lower_1558406774al_nat: extended_ereal > ( extended_ereal > nat ) > $o ).
thf(func_def_41,type,
lower_1165973074l_real: extended_ereal > ( extended_ereal > real ) > $o ).
thf(func_def_42,type,
lower_551915512_ereal: real > ( real > extended_ereal ) > $o ).
thf(func_def_43,type,
lower_153911426al_int: real > ( real > int ) > $o ).
thf(func_def_44,type,
lower_1664121382al_nat: real > ( real > nat ) > $o ).
thf(func_def_45,type,
lower_191460856_ereal: a > ( a > extended_ereal ) > $o ).
thf(func_def_46,type,
lower_956963458_a_int: a > ( a > int ) > $o ).
thf(func_def_47,type,
lower_319689766_a_nat: a > ( a > nat ) > $o ).
thf(func_def_48,type,
lower_231615490a_real: a > ( a > real ) > $o ).
thf(func_def_49,type,
lower_1071158961_ereal: extended_ereal > ( extended_ereal > extended_ereal ) > $o ).
thf(func_def_50,type,
lower_637387785al_int: extended_ereal > ( extended_ereal > int ) > $o ).
thf(func_def_51,type,
lower_114093al_nat: extended_ereal > ( extended_ereal > nat ) > $o ).
thf(func_def_52,type,
lower_737640969l_real: extended_ereal > ( extended_ereal > real ) > $o ).
thf(func_def_53,type,
lower_1075504779al_int: real > ( real > int ) > $o ).
thf(func_def_54,type,
lower_438231087al_nat: real > ( real > nat ) > $o ).
thf(func_def_55,type,
lower_534855297_ereal: a > ( a > extended_ereal ) > $o ).
thf(func_def_56,type,
lower_1672990777_a_int: a > ( a > int ) > $o ).
thf(func_def_57,type,
lower_1035717085_a_nat: a > ( a > nat ) > $o ).
thf(func_def_58,type,
lower_755922489a_real: a > ( a > real ) > $o ).
thf(func_def_59,type,
semiri2019852685at_int: nat > int ).
thf(func_def_60,type,
semiri2110766477t_real: nat > real ).
thf(func_def_61,type,
ord_le824540014_ereal: extended_ereal > extended_ereal > $o ).
thf(func_def_62,type,
ord_le1745708096er_nat: filter_nat > filter_nat > $o ).
thf(func_def_63,type,
ord_le132810396r_real: filter_real > filter_real > $o ).
thf(func_def_64,type,
ord_less_eq_int: int > int > $o ).
thf(func_def_65,type,
ord_less_eq_nat: nat > nat > $o ).
thf(func_def_66,type,
ord_less_eq_real: real > real > $o ).
thf(func_def_67,type,
collect_real: ( real > $o ) > set_real ).
thf(func_def_68,type,
topolo1069469409_ereal: ( nat > extended_ereal ) > $o ).
thf(func_def_69,type,
topolo411883481eq_int: ( nat > int ) > $o ).
thf(func_def_70,type,
topolo1922093437eq_nat: ( nat > nat ) > $o ).
thf(func_def_71,type,
topolo144289241q_real: ( nat > real ) > $o ).
thf(func_def_72,type,
topolo2140997059_ereal: extended_ereal > filter2049122004_ereal ).
thf(func_def_73,type,
topolo54776183ds_int: int > filter_int ).
thf(func_def_74,type,
topolo1564986139ds_nat: nat > filter_nat ).
thf(func_def_75,type,
topolo1664202871s_real: real > filter_real ).
thf(func_def_76,type,
topolo705128563nhds_a: a > filter_a ).
thf(func_def_77,type,
member1900190071_ereal: extended_ereal > set_Extended_ereal > $o ).
thf(func_def_78,type,
member_real: real > set_real > $o ).
thf(func_def_79,type,
a2: extended_ereal ).
thf(func_def_80,type,
f: a > extended_ereal ).
thf(func_def_81,type,
x0: a ).
thf(func_def_82,type,
x: nat > a ).
thf(func_def_86,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_87,type,
vAND: $o > $o > $o ).
thf(func_def_88,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_89,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_90,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_91,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_92,type,
vIMP: $o > $o > $o ).
thf(func_def_93,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_94,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_95,type,
vOR: $o > $o > $o ).
thf(func_def_96,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_97,type,
vNOT: $o > $o ).
thf(func_def_98,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_99,type,
sP0: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_100,type,
sP1: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_101,type,
sP2: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_102,type,
sP3: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_103,type,
sP4: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_104,type,
sP5: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_105,type,
sP6: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_106,type,
sP7: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_107,type,
sP8: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_108,type,
sP9: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_109,type,
sP10: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_110,type,
sP11: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_111,type,
sP12: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_112,type,
sP13: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_113,type,
sP14: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_114,type,
sP15: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_115,type,
sP16: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_116,type,
sP17: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_117,type,
sP18: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_118,type,
sP19: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_119,type,
sP20: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_120,type,
sP21: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_121,type,
sP22: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_122,type,
sP23: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_123,type,
sP24: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_124,type,
sP25: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_125,type,
sP26: nat > nat > nat > $o ).
thf(func_def_126,type,
sP27: nat > nat > nat > $o ).
thf(func_def_127,type,
sP28: nat > nat > nat > $o ).
thf(func_def_128,type,
sP29: extended_ereal > extended_ereal > $o ).
thf(func_def_129,type,
sP30: extended_ereal > extended_ereal > $o ).
thf(func_def_130,type,
sP31: extended_ereal > extended_ereal > $o ).
thf(func_def_131,type,
sP32: extended_ereal > extended_ereal > $o ).
thf(func_def_132,type,
sP33: extended_ereal > extended_ereal > $o ).
thf(func_def_133,type,
sP34: extended_ereal > extended_ereal > $o ).
thf(func_def_134,type,
sP35: real > real > real > $o ).
thf(func_def_135,type,
sP36: real > real > real > $o ).
thf(func_def_136,type,
sP37: real > real > real > $o ).
thf(func_def_137,type,
sP38: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_138,type,
sP39: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_139,type,
sP40: extended_ereal > extended_ereal > extended_ereal > $o ).
thf(func_def_140,type,
sP41: int > int > int > $o ).
thf(func_def_141,type,
sP42: int > int > int > $o ).
thf(func_def_142,type,
sP43: int > int > int > $o ).
thf(func_def_143,type,
sK44: extended_ereal > nat > ( nat > extended_ereal ) > nat ).
thf(func_def_144,type,
sK45: extended_ereal > real ).
thf(func_def_145,type,
sK46: ( extended_ereal > extended_ereal ) > extended_ereal ).
thf(func_def_146,type,
sK47: ( extended_ereal > extended_ereal ) > extended_ereal ).
thf(func_def_147,type,
sK48: nat > ( nat > int ) > int > nat ).
thf(func_def_148,type,
sK49: ( nat > nat ) > nat ).
thf(func_def_149,type,
sK50: ( nat > nat ) > nat ).
thf(func_def_150,type,
sK51: ( extended_ereal > int ) > extended_ereal ).
thf(func_def_151,type,
sK52: ( extended_ereal > int ) > extended_ereal ).
thf(func_def_152,type,
sK53: ( extended_ereal > extended_ereal ) > extended_ereal ).
thf(func_def_153,type,
sK54: ( extended_ereal > extended_ereal ) > extended_ereal ).
thf(func_def_154,type,
sK55: nat > ( nat > real ) > ( nat > real ) > nat ).
thf(func_def_155,type,
sK56: ( int > extended_ereal ) > int ).
thf(func_def_156,type,
sK57: ( int > extended_ereal ) > int ).
thf(func_def_157,type,
sK58: ( nat > extended_ereal ) > nat ).
thf(func_def_158,type,
sK59: ( nat > extended_ereal ) > nat ).
thf(func_def_159,type,
sK60: ( nat > real ) > nat ).
thf(func_def_160,type,
sK61: ( nat > real ) > nat ).
thf(func_def_161,type,
sK62: ( real > extended_ereal ) > real ).
thf(func_def_162,type,
sK63: ( real > extended_ereal ) > real ).
thf(func_def_163,type,
sK64: extended_ereal > real ).
thf(func_def_164,type,
sK65: extended_ereal > real ).
thf(func_def_165,type,
sK66: extended_ereal > real ).
thf(func_def_166,type,
sK67: extended_ereal > real ).
thf(func_def_167,type,
sK68: extended_ereal > real ).
thf(func_def_168,type,
sK69: extended_ereal > real ).
thf(func_def_169,type,
sK70: extended_ereal > real ).
thf(func_def_170,type,
sK71: extended_ereal > real ).
thf(func_def_171,type,
sK72: extended_ereal > real ).
thf(func_def_172,type,
sK73: extended_ereal > real ).
thf(func_def_173,type,
sK74: extended_ereal > real ).
thf(func_def_174,type,
sK75: extended_ereal > real ).
thf(func_def_175,type,
sK76: extended_ereal > real ).
thf(func_def_176,type,
sK77: extended_ereal > real ).
thf(func_def_177,type,
sK78: extended_ereal > real ).
thf(func_def_178,type,
sK79: extended_ereal > real ).
thf(func_def_179,type,
sK80: extended_ereal > real ).
thf(func_def_180,type,
sK81: extended_ereal > real ).
thf(func_def_181,type,
sK82: extended_ereal > real ).
thf(func_def_182,type,
sK83: extended_ereal > real ).
thf(func_def_183,type,
sK84: extended_ereal > real ).
thf(func_def_184,type,
sK85: extended_ereal > real ).
thf(func_def_185,type,
sK86: extended_ereal > real ).
thf(func_def_186,type,
sK87: extended_ereal > real ).
thf(func_def_187,type,
sK88: extended_ereal > real ).
thf(func_def_188,type,
sK89: extended_ereal > real ).
thf(func_def_189,type,
sK90: extended_ereal > real ).
thf(func_def_190,type,
sK91: nat > ( nat > real ) > ( nat > real ) > nat ).
thf(func_def_191,type,
sK92: ( real > nat ) > real ).
thf(func_def_192,type,
sK93: ( real > nat ) > real ).
thf(func_def_193,type,
sK94: nat > ( nat > extended_ereal ) > extended_ereal > nat ).
thf(func_def_194,type,
sK95: nat > real > ( nat > real ) > nat ).
thf(func_def_195,type,
sK96: ( nat > extended_ereal ) > extended_ereal ).
thf(func_def_196,type,
sK97: ( nat > extended_ereal ) > nat ).
thf(func_def_197,type,
sK98: ( nat > extended_ereal ) > nat ).
thf(func_def_198,type,
sK99: ( extended_ereal > real ) > extended_ereal ).
thf(func_def_199,type,
sK100: ( extended_ereal > real ) > extended_ereal ).
thf(func_def_200,type,
sK101: nat > ( nat > extended_ereal ) > extended_ereal > nat ).
thf(func_def_201,type,
sK102: int > nat > ( nat > int ) > nat ).
thf(func_def_202,type,
sK103: ( extended_ereal > real ) > extended_ereal ).
thf(func_def_203,type,
sK104: ( extended_ereal > real ) > extended_ereal ).
thf(func_def_204,type,
sK105: nat > real > ( nat > real ) > nat ).
thf(func_def_205,type,
sK106: ( nat > extended_ereal ) > nat ).
thf(func_def_206,type,
sK107: ( nat > extended_ereal ) > nat ).
thf(func_def_207,type,
sK108: ( nat > extended_ereal ) > extended_ereal ).
thf(func_def_208,type,
sK109: extended_ereal > real ).
thf(func_def_209,type,
sK110: ( nat > nat > $o ) > nat ).
thf(func_def_210,type,
sK111: ( nat > nat > $o ) > nat ).
thf(func_def_211,type,
sK112: ( nat > nat > $o ) > nat ).
thf(func_def_212,type,
sK113: ( nat > nat > $o ) > nat ).
thf(func_def_213,type,
sK114: ( real > extended_ereal ) > real ).
thf(func_def_214,type,
sK115: ( real > extended_ereal ) > real ).
thf(func_def_215,type,
sK116: ( extended_ereal > real ) > extended_ereal ).
thf(func_def_216,type,
sK117: ( extended_ereal > real ) > extended_ereal ).
thf(func_def_217,type,
sK118: extended_ereal > real ).
thf(func_def_218,type,
sK119: ( nat > int ) > nat ).
thf(func_def_219,type,
sK120: ( nat > int ) > nat ).
thf(func_def_220,type,
sK121: ( nat > real ) > nat ).
thf(func_def_221,type,
sK122: ( nat > real ) > nat ).
thf(func_def_222,type,
sK123: ( extended_ereal > extended_ereal > $o ) > real ).
thf(func_def_223,type,
sK124: ( extended_ereal > extended_ereal > $o ) > real ).
thf(func_def_224,type,
sK125: ( extended_ereal > extended_ereal > $o ) > real ).
thf(func_def_225,type,
sK126: ( extended_ereal > extended_ereal > $o ) > real ).
thf(func_def_226,type,
sK127: ( extended_ereal > extended_ereal > $o ) > real ).
thf(func_def_227,type,
sK128: ( extended_ereal > extended_ereal > $o ) > real ).
thf(func_def_228,type,
sK129: nat > ( nat > $o ) > nat ).
thf(func_def_229,type,
sK130: ( nat > $o ) > nat ).
thf(func_def_230,type,
sK131: ( real > nat ) > real ).
thf(func_def_231,type,
sK132: ( real > nat ) > real ).
thf(func_def_232,type,
sK133: nat > ( nat > extended_ereal ) > ( nat > extended_ereal ) > nat ).
thf(func_def_233,type,
sK134: ( nat > a ) > ( a > extended_ereal ) > ( nat > extended_ereal ) > nat ).
thf(func_def_234,type,
sK135: nat > ( nat > real ) > real > nat ).
thf(func_def_235,type,
sK136: ( nat > nat ) > nat ).
thf(func_def_236,type,
sK137: ( nat > nat ) > nat ).
thf(func_def_237,type,
sK138: nat > int > ( nat > int ) > nat ).
thf(func_def_238,type,
sK139: extended_ereal > real ).
thf(func_def_239,type,
sK140: extended_ereal > real ).
thf(func_def_240,type,
sK141: extended_ereal > real ).
thf(func_def_241,type,
sK142: extended_ereal > real ).
thf(func_def_242,type,
sK143: extended_ereal > real ).
thf(func_def_243,type,
sK144: extended_ereal > real ).
thf(func_def_244,type,
sK145: ( extended_ereal > nat ) > extended_ereal ).
thf(func_def_245,type,
sK146: ( extended_ereal > nat ) > extended_ereal ).
thf(func_def_246,type,
sK147: ( nat > int ) > nat ).
thf(func_def_247,type,
sK148: ( nat > int ) > nat ).
thf(func_def_248,type,
sK149: ( extended_ereal > int ) > extended_ereal ).
thf(func_def_249,type,
sK150: ( extended_ereal > int ) > extended_ereal ).
thf(func_def_250,type,
sK151: ( nat > extended_ereal ) > nat ).
thf(func_def_251,type,
sK152: ( nat > extended_ereal ) > nat ).
thf(func_def_252,type,
sK153: ( extended_ereal > $o ) > real ).
thf(func_def_253,type,
sK154: ( extended_ereal > int ) > extended_ereal ).
thf(func_def_254,type,
sK155: ( extended_ereal > int ) > extended_ereal ).
thf(func_def_255,type,
sK156: ( nat > extended_ereal ) > real > nat > nat ).
thf(func_def_256,type,
sK157: ( nat > int ) > nat > ( nat > int ) > nat ).
thf(func_def_257,type,
sK158: real > nat > ( nat > real ) > nat ).
thf(func_def_258,type,
sK159: ( nat > real ) > nat ).
thf(func_def_259,type,
sK160: ( nat > real ) > nat ).
thf(func_def_260,type,
sK161: nat > ( nat > extended_ereal ) > extended_ereal > nat ).
thf(func_def_261,type,
sK162: ( int > int > $o ) > int ).
thf(func_def_262,type,
sK163: ( int > int > $o ) > int ).
thf(func_def_263,type,
sK164: ( int > int > $o ) > int ).
thf(func_def_264,type,
sK165: ( int > int > $o ) > int ).
thf(func_def_265,type,
sK166: ( nat > real ) > nat ).
thf(func_def_266,type,
sK167: ( nat > real ) > nat ).
thf(func_def_267,type,
sK168: ( extended_ereal > extended_ereal > $o ) > extended_ereal ).
thf(func_def_268,type,
sK169: ( extended_ereal > extended_ereal > $o ) > extended_ereal ).
thf(func_def_269,type,
sK170: ( extended_ereal > extended_ereal > $o ) > real ).
thf(func_def_270,type,
sK171: ( extended_ereal > extended_ereal > $o ) > real ).
thf(func_def_271,type,
sK172: ( extended_ereal > extended_ereal > $o ) > real ).
thf(func_def_272,type,
sK173: ( extended_ereal > extended_ereal > $o ) > real ).
thf(func_def_273,type,
sK174: ( real > nat ) > real ).
thf(func_def_274,type,
sK175: ( real > nat ) > real ).
thf(func_def_275,type,
sK176: ( extended_ereal > extended_ereal ) > extended_ereal ).
thf(func_def_276,type,
sK177: ( extended_ereal > extended_ereal ) > extended_ereal ).
thf(func_def_277,type,
sK178: ( real > real > $o ) > real ).
thf(func_def_278,type,
sK179: ( real > real > $o ) > real ).
thf(func_def_279,type,
sK180: ( real > real > $o ) > real ).
thf(func_def_280,type,
sK181: ( real > real > $o ) > real ).
thf(func_def_281,type,
sK182: ( nat > extended_ereal ) > nat ).
thf(func_def_282,type,
sK183: ( nat > extended_ereal ) > nat ).
thf(func_def_283,type,
sK184: ( extended_ereal > extended_ereal > $o ) > extended_ereal ).
thf(func_def_284,type,
sK185: ( extended_ereal > extended_ereal > $o ) > real ).
thf(func_def_285,type,
sK186: ( extended_ereal > extended_ereal > $o ) > extended_ereal ).
thf(func_def_286,type,
sK187: ( extended_ereal > extended_ereal > $o ) > real ).
thf(func_def_287,type,
sK188: ( extended_ereal > extended_ereal > $o ) > real ).
thf(func_def_288,type,
sK189: ( extended_ereal > extended_ereal > $o ) > real ).
thf(func_def_289,type,
sK190: ( real > extended_ereal ) > real ).
thf(func_def_290,type,
sK191: ( real > extended_ereal ) > real ).
thf(func_def_291,type,
sK192: nat > ( nat > int ) > int > nat ).
thf(func_def_292,type,
sK193: ( nat > nat ) > nat ).
thf(func_def_293,type,
sK194: ( nat > nat ) > nat ).
thf(func_def_294,type,
sK195: nat > ( nat > int ) > ( nat > int ) > nat ).
thf(func_def_295,type,
sK196: extended_ereal > extended_ereal > real ).
thf(func_def_296,type,
sK197: ( nat > nat ) > nat ).
thf(func_def_297,type,
sK198: ( nat > nat ) > nat ).
thf(func_def_298,type,
sK199: ( int > nat ) > int ).
thf(func_def_299,type,
sK200: ( int > nat ) > int ).
thf(func_def_300,type,
sK201: ( nat > extended_ereal ) > real > nat ).
thf(func_def_301,type,
sK202: ( extended_ereal > real ) > extended_ereal ).
thf(func_def_302,type,
sK203: ( extended_ereal > real ) > extended_ereal ).
thf(func_def_303,type,
sK204: ( extended_ereal > extended_ereal ) > extended_ereal ).
thf(func_def_304,type,
sK205: ( extended_ereal > extended_ereal ) > extended_ereal ).
thf(func_def_305,type,
sK206: extended_ereal > real ).
thf(func_def_306,type,
sK207: extended_ereal > real ).
thf(func_def_307,type,
sK208: ( extended_ereal > $o ) > real ).
thf(func_def_308,type,
sK209: ( nat > extended_ereal ) > nat > ( nat > extended_ereal ) > nat ).
thf(func_def_309,type,
sK210: ( extended_ereal > extended_ereal > $o ) > extended_ereal ).
thf(func_def_310,type,
sK211: ( extended_ereal > extended_ereal > $o ) > extended_ereal ).
thf(func_def_311,type,
sK212: ( extended_ereal > extended_ereal > $o ) > extended_ereal ).
thf(func_def_312,type,
sK213: ( extended_ereal > extended_ereal > $o ) > extended_ereal ).
thf(func_def_313,type,
sK214: ( extended_ereal > nat ) > extended_ereal ).
thf(func_def_314,type,
sK215: ( extended_ereal > nat ) > extended_ereal ).
thf(func_def_315,type,
sK216: ( nat > int ) > nat ).
thf(func_def_316,type,
sK217: ( nat > int ) > nat ).
thf(func_def_317,type,
sK218: ( extended_ereal > nat ) > extended_ereal ).
thf(func_def_318,type,
sK219: ( extended_ereal > nat ) > extended_ereal ).
thf(func_def_319,type,
sK220: ( nat > extended_ereal ) > nat ).
thf(func_def_320,type,
sK221: ( nat > extended_ereal ) > nat ).
thf(func_def_321,type,
sK222: real > ( nat > extended_ereal ) > nat ).
thf(func_def_322,type,
sK223: ( real > extended_ereal ) > real ).
thf(func_def_323,type,
sK224: ( real > extended_ereal ) > real ).
thf(func_def_324,type,
sK225: ( real > nat ) > real ).
thf(func_def_325,type,
sK226: ( real > nat ) > real ).
thf(func_def_326,type,
sK227: ( extended_ereal > nat ) > extended_ereal ).
thf(func_def_327,type,
sK228: ( extended_ereal > nat ) > extended_ereal ).
thf(func_def_328,type,
sK229: real > ( real > extended_ereal ) > nat > real ).
thf(func_def_329,type,
sK230: real > ( real > extended_ereal ) > nat > extended_ereal ).
thf(func_def_330,type,
sK231: real > ( real > extended_ereal ) > extended_ereal ).
thf(func_def_331,type,
sK232: ( a > extended_ereal ) > a > nat > a ).
thf(func_def_332,type,
sK233: ( a > extended_ereal ) > a > extended_ereal ).
thf(func_def_333,type,
sK234: a > ( a > extended_ereal ) > nat > a ).
thf(func_def_334,type,
sK235: a > ( a > extended_ereal ) > extended_ereal ).
thf(func_def_335,type,
sK236: ( nat > a ) > extended_ereal > nat ).
thf(f2,axiom,
filter1531173832_ereal @ ( comp_a1112243075al_nat @ f @ x ) @ ( topolo2140997059_ereal @ a2 ) @ at_top_nat,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_x__def_I2_J) ).
thf(f5,axiom,
! [X1: extended_ereal,X0: nat > extended_ereal,X2: filter_nat] :
( ( filter1531173832_ereal @ X0 @ ( topolo2140997059_ereal @ X1 ) @ X2 )
=> ( filter1531173832_ereal
@ ^ [X3: nat] : ( uminus1208298309_ereal @ ( X0 @ X3 ) )
@ ( topolo2140997059_ereal @ ( uminus1208298309_ereal @ X1 ) )
@ X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_tendsto__uminus__ereal) ).
thf(f37,axiom,
( ( ^ [X0: a > extended_ereal,X1: nat > a,X2: nat] : ( X0 @ ( X1 @ X2 ) ) )
= comp_a1112243075al_nat ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_36_comp__apply) ).
thf(f356,conjecture,
( filter1531173832_ereal
@ ^ [X0: nat] : ( uminus1208298309_ereal @ ( f @ ( x @ X0 ) ) )
@ ( topolo2140997059_ereal @ ( uminus1208298309_ereal @ a2 ) )
@ at_top_nat ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(f357,negated_conjecture,
~ ( filter1531173832_ereal
@ ^ [X0: nat] : ( uminus1208298309_ereal @ ( f @ ( x @ X0 ) ) )
@ ( topolo2140997059_ereal @ ( uminus1208298309_ereal @ a2 ) )
@ at_top_nat ),
inference(negated_conjecture,[status(cth)],[f356]) ).
thf(f660,plain,
~ ( filter1531173832_ereal
@ ^ [X0: nat] : ( uminus1208298309_ereal @ ( f @ ( x @ X0 ) ) )
@ ( topolo2140997059_ereal @ ( uminus1208298309_ereal @ a2 ) )
@ at_top_nat ),
inference(rectify,[],[f357]) ).
thf(f661,plain,
( ( filter1531173832_ereal
@ ^ [Y0: nat] : ( uminus1208298309_ereal @ ( f @ ( x @ Y0 ) ) )
@ ( topolo2140997059_ereal @ ( uminus1208298309_ereal @ a2 ) )
@ at_top_nat )
!= $true ),
inference(fool_elimination,[],[f660]) ).
thf(f796,plain,
filter1531173832_ereal @ ( comp_a1112243075al_nat @ f @ x ) @ ( topolo2140997059_ereal @ a2 ) @ at_top_nat,
inference(rectify,[],[f2]) ).
thf(f797,plain,
( ( filter1531173832_ereal @ ( comp_a1112243075al_nat @ f @ x ) @ ( topolo2140997059_ereal @ a2 ) @ at_top_nat )
= $true ),
inference(fool_elimination,[],[f796]) ).
thf(f843,plain,
( comp_a1112243075al_nat
= ( ^ [Y0: a > extended_ereal,Y1: nat > a,Y2: nat] : ( Y0 @ ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f37]) ).
thf(f887,plain,
! [X0: extended_ereal,X1: nat > extended_ereal,X2: filter_nat] :
( ( filter1531173832_ereal @ X1 @ ( topolo2140997059_ereal @ X0 ) @ X2 )
=> ( filter1531173832_ereal
@ ^ [X3: nat] : ( uminus1208298309_ereal @ ( X1 @ X3 ) )
@ ( topolo2140997059_ereal @ ( uminus1208298309_ereal @ X0 ) )
@ X2 ) ),
inference(rectify,[],[f5]) ).
thf(f888,plain,
! [X1: nat > extended_ereal,X0: extended_ereal,X2: filter_nat] :
( ( $true
= ( filter1531173832_ereal @ X1 @ ( topolo2140997059_ereal @ X0 ) @ X2 ) )
=> ( ( filter1531173832_ereal
@ ^ [Y0: nat] : ( uminus1208298309_ereal @ ( X1 @ Y0 ) )
@ ( topolo2140997059_ereal @ ( uminus1208298309_ereal @ X0 ) )
@ X2 )
= $true ) ),
inference(fool_elimination,[],[f887]) ).
thf(f978,plain,
( ( filter1531173832_ereal
@ ^ [Y0: nat] : ( uminus1208298309_ereal @ ( f @ ( x @ Y0 ) ) )
@ ( topolo2140997059_ereal @ ( uminus1208298309_ereal @ a2 ) )
@ at_top_nat )
!= $true ),
inference(flattening,[],[f661]) ).
thf(f1270,plain,
! [X1: nat > extended_ereal,X2: filter_nat,X0: extended_ereal] :
( ( $true
!= ( filter1531173832_ereal @ X1 @ ( topolo2140997059_ereal @ X0 ) @ X2 ) )
| ( ( filter1531173832_ereal
@ ^ [Y0: nat] : ( uminus1208298309_ereal @ ( X1 @ Y0 ) )
@ ( topolo2140997059_ereal @ ( uminus1208298309_ereal @ X0 ) )
@ X2 )
= $true ) ),
inference(ennf_transformation,[],[f888]) ).
thf(f1634,plain,
! [X0: nat > extended_ereal,X1: filter_nat,X2: extended_ereal] :
( ( $true
!= ( filter1531173832_ereal @ X0 @ ( topolo2140997059_ereal @ X2 ) @ X1 ) )
| ( ( filter1531173832_ereal
@ ^ [Y0: nat] : ( uminus1208298309_ereal @ ( X0 @ Y0 ) )
@ ( topolo2140997059_ereal @ ( uminus1208298309_ereal @ X2 ) )
@ X1 )
= $true ) ),
inference(rectify,[],[f1270]) ).
thf(f1881,plain,
( comp_a1112243075al_nat
= ( ^ [Y0: a > extended_ereal,Y1: nat > a,Y2: nat] : ( Y0 @ ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f843]) ).
thf(f1973,plain,
( ( filter1531173832_ereal
@ ^ [Y0: nat] : ( uminus1208298309_ereal @ ( f @ ( x @ Y0 ) ) )
@ ( topolo2140997059_ereal @ ( uminus1208298309_ereal @ a2 ) )
@ at_top_nat )
!= $true ),
inference(cnf_transformation,[],[f978]) ).
thf(f1986,plain,
( ( filter1531173832_ereal @ ( comp_a1112243075al_nat @ f @ x ) @ ( topolo2140997059_ereal @ a2 ) @ at_top_nat )
= $true ),
inference(cnf_transformation,[],[f797]) ).
thf(f2082,plain,
! [X2: extended_ereal,X0: nat > extended_ereal,X1: filter_nat] :
( ( $true
!= ( filter1531173832_ereal @ X0 @ ( topolo2140997059_ereal @ X2 ) @ X1 ) )
| ( ( filter1531173832_ereal
@ ^ [Y0: nat] : ( uminus1208298309_ereal @ ( X0 @ Y0 ) )
@ ( topolo2140997059_ereal @ ( uminus1208298309_ereal @ X2 ) )
@ X1 )
= $true ) ),
inference(cnf_transformation,[],[f1634]) ).
thf(f2160,plain,
( $true
= ( filter1531173832_ereal
@ ( ^ [Y0: a > extended_ereal,Y1: nat > a,Y2: nat] : ( Y0 @ ( Y1 @ Y2 ) )
@ f
@ x )
@ ( topolo2140997059_ereal @ a2 )
@ at_top_nat ) ),
inference(definition_unfolding,[],[f1986,f1881]) ).
thf(f2289,plain,
( $true
= ( filter1531173832_ereal
@ ^ [Y0: nat] : ( f @ ( x @ Y0 ) )
@ ( topolo2140997059_ereal @ a2 )
@ at_top_nat ) ),
inference(beta-eta_normalization,[],[f2160]) ).
thf(f2479,plain,
( ( $true != $true )
| ( $true
= ( filter1531173832_ereal
@ ^ [Y0: nat] :
( uminus1208298309_ereal
@ ( ^ [Y1: nat] : ( f @ ( x @ Y1 ) )
@ Y0 ) )
@ ( topolo2140997059_ereal @ ( uminus1208298309_ereal @ a2 ) )
@ at_top_nat ) ) ),
inference(superposition,[],[f2082,f2289]) ).
thf(f2483,plain,
( $true
= ( filter1531173832_ereal
@ ^ [Y0: nat] :
( uminus1208298309_ereal
@ ( ^ [Y1: nat] : ( f @ ( x @ Y1 ) )
@ Y0 ) )
@ ( topolo2140997059_ereal @ ( uminus1208298309_ereal @ a2 ) )
@ at_top_nat ) ),
inference(trivial_inequality_removal,[],[f2479]) ).
thf(f2484,plain,
( ( filter1531173832_ereal
@ ^ [Y0: nat] : ( uminus1208298309_ereal @ ( f @ ( x @ Y0 ) ) )
@ ( topolo2140997059_ereal @ ( uminus1208298309_ereal @ a2 ) )
@ at_top_nat )
= $true ),
inference(beta-eta_normalization,[],[f2483]) ).
thf(f2491,plain,
$false,
inference(forward_subsumption_resolution,[],[f2484,f1973]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ITP112^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.26 % Computer : n013.cluster.edu
% 0.11/0.26 % Model : x86_64 x86_64
% 0.11/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.26 % Memory : 8046.5625MB
% 0.11/0.26 % OS : Linux 6.8.0-71-generic
% 0.11/0.26 % CPULimit : 300
% 0.11/0.26 % WCLimit : 300
% 0.11/0.26 % DateTime : Tue Sep 29 19:54:36 UTC 2026
% 0.11/0.27 % CPUTime :
% 0.11/0.27 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.28/0.32 Running higher-order theorem proving
% 0.35/0.39 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
% 1.37/0.60 % (2582444)Detected a higher-order problem, will run a greedy HOL sequence.
% 1.37/0.60 % (2582449)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=428036433:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 1.37/0.60 % (2582450)lrs+10_16_si=on:nwc=1.5:random_seed=941378910:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 1.37/0.60 % (2582455)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 1.37/0.60 % (2582455)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
% 1.37/0.60 % (2582453)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1037595367:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 1.37/0.60 % (2582452)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=780311107: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)
% 1.37/0.60 % (2582451)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1170983594:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 1.37/0.60 % (2582454)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3294897977:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 1.37/0.60 % (2582455)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=2242546091:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 1.37/0.60 % (2582451)Instruction limit reached!
% 1.37/0.60 % (2582451)------------------------------
% 1.37/0.60 % (2582451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.60 % (2582451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.60 % (2582451)CaDiCaL version: 2.1.3
% 1.37/0.60 % (2582451)Termination reason: Instruction limit
% 1.37/0.60 % (2582451)Termination phase: shuffling
% 1.37/0.60 % (2582451)Time elapsed: 0.004 s
% 1.37/0.60 % (2582451)Peak memory usage: 10 MB
% 1.37/0.60 % (2582451)Instructions burned: 3 (million)
% 1.37/0.60 % (2582450)Instruction limit reached!
% 1.37/0.60 % (2582450)------------------------------
% 1.37/0.60 % (2582450)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.60 % (2582450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.60 % (2582450)CaDiCaL version: 2.1.3
% 1.37/0.60 % (2582450)Termination reason: Instruction limit
% 1.37/0.60 % (2582450)Termination phase: shuffling
% 1.37/0.60 % (2582450)Time elapsed: 0.017 s
% 1.37/0.60 % (2582450)Peak memory usage: 10 MB
% 1.37/0.60 % (2582450)Instructions burned: 19 (million)
% 1.37/0.60 % (2582453)Instruction limit reached!
% 1.37/0.60 % (2582453)------------------------------
% 1.37/0.60 % (2582453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.60 % (2582453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.60 % (2582453)CaDiCaL version: 2.1.3
% 1.37/0.60 % (2582453)Termination reason: Instruction limit
% 1.37/0.60 % (2582453)Termination phase: shuffling
% 1.37/0.60 % (2582453)Time elapsed: 0.023 s
% 1.37/0.60 % (2582453)Peak memory usage: 10 MB
% 1.37/0.60 % (2582453)Instructions burned: 28 (million)
% 1.37/0.60 % (2582449)Instruction limit reached!
% 1.37/0.60 % (2582449)------------------------------
% 1.37/0.60 % (2582449)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.60 % (2582449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.60 % (2582449)CaDiCaL version: 2.1.3
% 1.37/0.60 % (2582449)Termination reason: Instruction limit
% 1.37/0.60 % (2582449)Termination phase: Preprocessing 3
% 1.37/0.60 % (2582449)Time elapsed: 0.039 s
% 1.37/0.60 % (2582449)Peak memory usage: 12 MB
% 1.37/0.60 % (2582449)Instructions burned: 88 (million)
% 1.37/0.60 % (2582465)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.37/0.60 % (2582463)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=4187195745:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.73/0.64 % (2582466)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2016460867:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.73/0.64 % (2582463)Instruction limit reached!
% 1.73/0.64 % (2582463)------------------------------
% 1.73/0.64 % (2582463)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.73/0.64 % (2582463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.73/0.64 % (2582463)CaDiCaL version: 2.1.3
% 1.73/0.64 % (2582463)Termination reason: Instruction limit
% 1.73/0.64 % (2582463)Termination phase: shuffling
% 1.73/0.64 % (2582463)Time elapsed: 0.003 s
% 1.73/0.64 % (2582463)Peak memory usage: 10 MB
% 1.73/0.64 % (2582463)Instructions burned: 3 (million)
% 1.73/0.64 % (2582465)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2270071396:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.73/0.64 % (2582464)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3872496015:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.73/0.64 % (2582465)Instruction limit reached!
% 1.73/0.64 % (2582465)------------------------------
% 1.73/0.64 % (2582465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.73/0.64 % (2582465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.73/0.64 % (2582465)CaDiCaL version: 2.1.3
% 1.73/0.64 % (2582465)Termination reason: Instruction limit
% 1.73/0.64 % (2582465)Termination phase: shuffling
% 1.73/0.64 % (2582465)Time elapsed: 0.005 s
% 1.73/0.64 % (2582465)Peak memory usage: 10 MB
% 1.73/0.64 % (2582465)Instructions burned: 9 (million)
% 1.73/0.64 % (2582466)Instruction limit reached!
% 1.73/0.64 % (2582466)------------------------------
% 1.73/0.64 % (2582466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.73/0.64 % (2582466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.73/0.64 % (2582466)CaDiCaL version: 2.1.3
% 1.73/0.64 % (2582466)Termination reason: Instruction limit
% 1.73/0.64 % (2582466)Termination phase: shuffling
% 1.73/0.64 % (2582466)Time elapsed: 0.006 s
% 1.73/0.64 % (2582466)Peak memory usage: 10 MB
% 1.73/0.64 % (2582466)Instructions burned: 14 (million)
% 1.73/0.64 % (2582464)Instruction limit reached!
% 1.73/0.64 % (2582464)------------------------------
% 1.73/0.64 % (2582464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.73/0.64 % (2582464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.73/0.64 % (2582464)CaDiCaL version: 2.1.3
% 1.73/0.64 % (2582464)Termination reason: Instruction limit
% 1.73/0.64 % (2582464)Termination phase: shuffling
% 1.73/0.64 % (2582464)Time elapsed: 0.006 s
% 1.73/0.64 % (2582464)Peak memory usage: 10 MB
% 1.73/0.64 % (2582464)Instructions burned: 6 (million)
% 1.73/0.64 % (2582454)Instruction limit reached!
% 1.73/0.64 % (2582454)------------------------------
% 1.73/0.64 % (2582454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.73/0.64 % (2582454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.73/0.64 % (2582454)CaDiCaL version: 2.1.3
% 1.73/0.64 % (2582454)Termination reason: Instruction limit
% 1.73/0.64 % (2582454)Termination phase: Preprocessing 3
% 1.73/0.64 % (2582454)Time elapsed: 0.064 s
% 1.73/0.64 % (2582454)Peak memory usage: 12 MB
% 1.73/0.64 % (2582454)Instructions burned: 75 (million)
% 1.73/0.64 % (2582473)lrs+10_1_si=on:cs=on:random_seed=1810787423:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.73/0.64 % (2582472)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=2190253281:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 1.73/0.64 % (2582470)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
% 1.73/0.64 % (2582470)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.73/0.64 % (2582473)Instruction limit reached!
% 1.73/0.64 % (2582473)------------------------------
% 1.73/0.64 % (2582473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.73/0.64 % (2582473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.73/0.69 % (2582473)CaDiCaL version: 2.1.3
% 1.73/0.69 % (2582473)Termination reason: Instruction limit
% 1.73/0.69 % (2582473)Termination phase: shuffling
% 1.73/0.69 % (2582473)Time elapsed: 0.004 s
% 1.73/0.69 % (2582473)Peak memory usage: 10 MB
% 1.73/0.69 % (2582473)Instructions burned: 9 (million)
% 1.73/0.69 % (2582470)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=4287540580:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2998 on theBenchmark for (2998ds/28Mi)
% 1.73/0.69 % (2582474)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.73/0.69 % (2582474)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=3689925038:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.73/0.69 % (2582474)Instruction limit reached!
% 1.73/0.69 % (2582474)------------------------------
% 1.73/0.69 % (2582474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.73/0.69 % (2582474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.73/0.69 % (2582474)CaDiCaL version: 2.1.3
% 1.73/0.69 % (2582474)Termination reason: Instruction limit
% 1.73/0.69 % (2582474)Termination phase: shuffling
% 1.73/0.69 % (2582474)Time elapsed: 0.003 s
% 1.73/0.69 % (2582474)Peak memory usage: 10 MB
% 1.73/0.69 % (2582474)Instructions burned: 2 (million)
% 1.73/0.69 % (2582478)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=455647392:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.73/0.69 % (2582475)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3953036897:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.73/0.69 % (2582470)Instruction limit reached!
% 1.73/0.69 % (2582470)------------------------------
% 1.73/0.69 % (2582470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.73/0.69 % (2582470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.73/0.69 % (2582470)CaDiCaL version: 2.1.3
% 1.73/0.69 % (2582470)Termination reason: Instruction limit
% 1.73/0.69 % (2582470)Termination phase: shuffling
% 1.73/0.69 % (2582470)Time elapsed: 0.024 s
% 1.73/0.69 % (2582470)Peak memory usage: 11 MB
% 1.73/0.69 % (2582470)Instructions burned: 28 (million)
% 1.73/0.69 % (2582481)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2518444873:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.73/0.69 % (2582455)Instruction limit reached!
% 1.73/0.69 % (2582455)------------------------------
% 1.73/0.69 % (2582455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.73/0.69 % (2582455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.73/0.69 % (2582455)CaDiCaL version: 2.1.3
% 1.73/0.69 % (2582455)Termination reason: Instruction limit
% 1.73/0.69 % (2582455)Termination phase: Property scanning
% 1.73/0.69 % (2582455)Time elapsed: 0.128 s
% 1.73/0.69 % (2582455)Peak memory usage: 13 MB
% 1.73/0.69 % (2582455)Instructions burned: 158 (million)
% 1.73/0.69 % (2582475)Instruction limit reached!
% 1.73/0.69 % (2582475)------------------------------
% 1.73/0.69 % (2582475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.73/0.69 % (2582475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.73/0.69 % (2582475)CaDiCaL version: 2.1.3
% 1.73/0.69 % (2582475)Termination reason: Instruction limit
% 1.73/0.69 % (2582475)Termination phase: Property scanning
% 1.73/0.69 % (2582475)Time elapsed: 0.035 s
% 1.73/0.69 % (2582475)Peak memory usage: 11 MB
% 1.73/0.69 % (2582475)Instructions burned: 40 (million)
% 1.73/0.69 % (2582484)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3156498999:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.73/0.69 % (2582472)Instruction limit reached!
% 1.73/0.69 % (2582472)------------------------------
% 1.73/0.69 % (2582472)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.73/0.69 % (2582472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.73/0.69 % (2582472)CaDiCaL version: 2.1.3
% 1.73/0.69 % (2582472)Termination reason: Instruction limit
% 1.73/0.69 % (2582472)Termination phase: Property scanning
% 2.11/0.77 % (2582472)Time elapsed: 0.070 s
% 2.11/0.77 % (2582472)Peak memory usage: 11 MB
% 2.11/0.77 % (2582472)Instructions burned: 87 (million)
% 2.11/0.77 % (2582481)Instruction limit reached!
% 2.11/0.77 % (2582481)------------------------------
% 2.11/0.77 % (2582481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.77 % (2582481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.77 % (2582481)CaDiCaL version: 2.1.3
% 2.11/0.77 % (2582481)Termination reason: Instruction limit
% 2.11/0.77 % (2582481)Termination phase: shuffling
% 2.11/0.77 % (2582481)Time elapsed: 0.022 s
% 2.11/0.77 % (2582481)Peak memory usage: 10 MB
% 2.11/0.77 % (2582481)Instructions burned: 26 (million)
% 2.11/0.77 % (2582484)Instruction limit reached!
% 2.11/0.77 % (2582484)------------------------------
% 2.11/0.77 % (2582484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.77 % (2582484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.77 % (2582484)CaDiCaL version: 2.1.3
% 2.11/0.77 % (2582484)Termination reason: Instruction limit
% 2.11/0.77 % (2582484)Termination phase: shuffling
% 2.11/0.78 % (2582484)Time elapsed: 0.012 s
% 2.11/0.78 % (2582484)Peak memory usage: 10 MB
% 2.11/0.78 % (2582484)Instructions burned: 14 (million)
% 2.11/0.78 % (2582478)Refutation not found, incomplete strategy
% 2.11/0.78 % (2582478)------------------------------
% 2.11/0.78 % (2582478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.78 % (2582478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.78 % (2582478)CaDiCaL version: 2.1.3
% 2.11/0.78 % (2582478)Termination reason: Refutation not found, incomplete strategy
% 2.11/0.78 % (2582478)Time elapsed: 0.057 s
% 2.11/0.78 % (2582478)Peak memory usage: 13 MB
% 2.11/0.78 % (2582478)Instructions burned: 124 (million)
% 2.11/0.78 % (2582478)------------------------------
% 2.11/0.78 % (2582478)------------------------------
% 2.11/0.78 % (2582488)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3058389519:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 2.11/0.78 % (2582486)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1058785604:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 2.11/0.78 % (2582488)Instruction limit reached!
% 2.11/0.78 % (2582488)------------------------------
% 2.11/0.78 % (2582488)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.78 % (2582488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.78 % (2582488)CaDiCaL version: 2.1.3
% 2.11/0.78 % (2582488)Termination reason: Instruction limit
% 2.11/0.78 % (2582488)Termination phase: shuffling
% 2.11/0.78 % (2582488)Time elapsed: 0.007 s
% 2.11/0.78 % (2582488)Peak memory usage: 10 MB
% 2.11/0.78 % (2582488)Instructions burned: 15 (million)
% 2.11/0.78 % (2582489)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2365235434:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2997 on theBenchmark for (2997ds/2Mi)
% 2.11/0.78 % (2582489)Instruction limit reached!
% 2.11/0.78 % (2582489)------------------------------
% 2.11/0.78 % (2582489)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.78 % (2582489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.78 % (2582489)CaDiCaL version: 2.1.3
% 2.11/0.78 % (2582489)Termination reason: Instruction limit
% 2.11/0.78 % (2582489)Termination phase: shuffling
% 2.11/0.78 % (2582489)Time elapsed: 0.003 s
% 2.11/0.78 % (2582489)Peak memory usage: 10 MB
% 2.11/0.78 % (2582489)Instructions burned: 3 (million)
% 2.11/0.78 % (2582492)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3530168709:cond=on:i=60:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/60Mi)
% 2.11/0.78 % (2582495)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) 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
% 2.11/0.78 % (2582495)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.11/0.78 % (2582491)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=240941251:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.11/0.78 % (2582490)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3661063778:i=26:ep=R:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/26Mi)
% 2.11/0.78 % (2582495)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=3583965358:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 2.11/0.78 % (2582495)Instruction limit reached!
% 2.11/0.78 % (2582495)------------------------------
% 2.11/0.78 % (2582495)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.78 % (2582495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.78 % (2582495)CaDiCaL version: 2.1.3
% 2.11/0.78 % (2582495)Termination reason: Instruction limit
% 2.11/0.78 % (2582495)Termination phase: shuffling
% 2.11/0.78 % (2582495)Time elapsed: 0.007 s
% 2.11/0.78 % (2582495)Peak memory usage: 10 MB
% 2.11/0.78 % (2582495)Instructions burned: 16 (million)
% 2.11/0.78 % (2582491)Instruction limit reached!
% 2.11/0.78 % (2582491)------------------------------
% 2.11/0.78 % (2582491)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.78 % (2582491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.78 % (2582491)CaDiCaL version: 2.1.3
% 2.11/0.78 % (2582491)Termination reason: Instruction limit
% 2.11/0.78 % (2582491)Termination phase: shuffling
% 2.11/0.78 % (2582491)Time elapsed: 0.020 s
% 2.11/0.78 % (2582491)Peak memory usage: 10 MB
% 2.11/0.78 % (2582491)Instructions burned: 23 (million)
% 2.11/0.78 % (2582498)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.11/0.78 % (2582490)Instruction limit reached!
% 2.11/0.78 % (2582490)------------------------------
% 2.11/0.78 % (2582490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.78 % (2582490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.78 % (2582490)CaDiCaL version: 2.1.3
% 2.11/0.78 % (2582490)Termination reason: Instruction limit
% 2.11/0.78 % (2582490)Termination phase: shuffling
% 2.11/0.78 % (2582490)Time elapsed: 0.022 s
% 2.11/0.78 % (2582490)Peak memory usage: 10 MB
% 2.11/0.78 % (2582490)Instructions burned: 26 (million)
% 2.11/0.78 % (2582498)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=1490678017:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 2.11/0.78 % (2582502)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=3743064704:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.11/0.78 % (2582498)Instruction limit reached!
% 2.11/0.78 % (2582498)------------------------------
% 2.11/0.78 % (2582498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.78 % (2582498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.78 % (2582498)CaDiCaL version: 2.1.3
% 2.11/0.78 % (2582498)Termination reason: Instruction limit
% 2.11/0.78 % (2582498)Termination phase: shuffling
% 2.11/0.78 % (2582498)Time elapsed: 0.008 s
% 2.11/0.78 % (2582498)Peak memory usage: 10 MB
% 2.11/0.78 % (2582498)Instructions burned: 8 (million)
% 2.11/0.78 % (2582504)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=4045277246:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.11/0.78 % (2582492)Instruction limit reached!
% 2.11/0.78 % (2582492)------------------------------
% 2.11/0.78 % (2582492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.78 % (2582492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.78 % (2582492)CaDiCaL version: 2.1.3
% 2.11/0.78 % (2582492)Termination reason: Instruction limit
% 2.11/0.78 % (2582492)Termination phase: Naming
% 2.11/0.78 % (2582492)Time elapsed: 0.049 s
% 2.11/0.78 % (2582492)Peak memory usage: 11 MB
% 2.11/0.78 % (2582492)Instructions burned: 60 (million)
% 2.11/0.78 % (2582502)Instruction limit reached!
% 2.11/0.78 % (2582502)------------------------------
% 2.11/0.78 % (2582502)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.78 % (2582502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.78 % (2582502)CaDiCaL version: 2.1.3
% 2.11/0.78 % (2582502)Termination reason: Instruction limit
% 2.11/0.78 % (2582502)Termination phase: shuffling
% 2.11/0.78 % (2582502)Time elapsed: 0.017 s
% 2.11/0.78 % (2582502)Peak memory usage: 11 MB
% 2.11/0.78 % (2582502)Instructions burned: 33 (million)
% 2.11/0.78 % (2582504)Instruction limit reached!
% 2.11/0.78 % (2582504)------------------------------
% 2.11/0.78 % (2582504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.78 % (2582504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.78 % (2582504)CaDiCaL version: 2.1.3
% 2.11/0.78 % (2582504)Termination reason: Instruction limit
% 2.11/0.78 % (2582504)Termination phase: shuffling
% 2.11/0.78 % (2582504)Time elapsed: 0.011 s
% 2.11/0.78 % (2582504)Peak memory usage: 10 MB
% 2.11/0.78 % (2582504)Instructions burned: 24 (million)
% 2.11/0.78 % (2582503)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=89334336:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 2.11/0.78 % (2582503)Instruction limit reached!
% 2.11/0.78 % (2582503)------------------------------
% 2.11/0.78 % (2582503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.78 % (2582503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.78 % (2582503)CaDiCaL version: 2.1.3
% 2.11/0.78 % (2582503)Termination reason: Instruction limit
% 2.11/0.78 % (2582503)Termination phase: shuffling
% 2.11/0.78 % (2582503)Time elapsed: 0.007 s
% 2.11/0.78 % (2582503)Peak memory usage: 10 MB
% 2.11/0.78 % (2582503)Instructions burned: 7 (million)
% 2.11/0.78 % (2582507)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=172060386:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.11/0.78 % (2582512)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2280539068:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.11/0.78 % (2582509)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3660149431:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.11/0.78 % (2582510)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=709086306:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.11/0.78 % (2582507)Instruction limit reached!
% 2.11/0.78 % (2582507)------------------------------
% 2.11/0.78 % (2582507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.78 % (2582507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.78 % (2582507)CaDiCaL version: 2.1.3
% 2.11/0.78 % (2582507)Termination reason: Instruction limit
% 2.11/0.78 % (2582507)Termination phase: shuffling
% 2.11/0.78 % (2582507)Time elapsed: 0.018 s
% 2.11/0.78 % (2582507)Peak memory usage: 11 MB
% 2.11/0.78 % (2582507)Instructions burned: 20 (million)
% 2.11/0.78 % (2582513)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1176725792:i=42:hud=10:rtra=on_2996 on theBenchmark for (2996ds/42Mi)
% 2.11/0.78 % (2582518)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.11/0.78 % (2582518)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3792877320:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2996 on theBenchmark for (2996ds/7Mi)
% 2.11/0.78 % (2582518)Instruction limit reached!
% 2.11/0.78 % (2582518)------------------------------
% 2.11/0.78 % (2582518)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.78 % (2582518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.78 % (2582518)CaDiCaL version: 2.1.3
% 2.11/0.78 % (2582518)Termination reason: Instruction limit
% 2.11/0.78 % (2582518)Termination phase: shuffling
% 2.11/0.78 % (2582518)Time elapsed: 0.004 s
% 2.11/0.78 % (2582518)Peak memory usage: 10 MB
% 2.11/0.78 % (2582518)Instructions burned: 8 (million)
% 2.11/0.78 % (2582486) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2582444-2582486"...
% 2.11/0.78 % (2582486)...printing done.
% 2.11/0.78 % (2582513)Instruction limit reached!
% 2.11/0.78 % (2582513)------------------------------
% 2.11/0.78 % (2582513)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.78 % (2582513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.78 % (2582513)CaDiCaL version: 2.1.3
% 2.11/0.78 % (2582513)Termination reason: Instruction limit
% 2.11/0.78 % (2582513)Termination phase: Property scanning
% 2.11/0.78 % (2582513)Time elapsed: 0.036 s
% 2.11/0.78 % (2582513)Peak memory usage: 11 MB
% 2.11/0.78 % (2582513)Instructions burned: 43 (million)
% 2.11/0.78 % (2582521)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2456908825:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/181Mi)
% 2.11/0.78 % (2582486)Refutation found. Thanks to Tanya!
% 2.11/0.78 % SZS status Theorem for theBenchmark
% 2.11/0.78 % SZS output start Proof for theBenchmark
% See solution above
% 2.11/0.78 % (2582486)------------------------------
% 2.11/0.78 % (2582486)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.78 % (2582486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.78 % (2582486)CaDiCaL version: 2.1.3
% 2.11/0.78 % (2582486)Termination reason: Refutation
% 2.11/0.78 % (2582486)Time elapsed: 0.154 s
% 2.11/0.78 % (2582486)Peak memory usage: 14 MB
% 2.11/0.78 % (2582486)Instructions burned: 179 (million)
% 2.11/0.78 % (2582444)Success in time 0.383 s
% 2.11/0.78 % Vampire exiting
%------------------------------------------------------------------------------