%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP029^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 08:08:01 AM UTC 2026
% Result : ContradictoryAxioms 1.07s 0.54s
% Output : Refutation 1.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 32 ( 20 unt; 0 typ; 3 def)
% Number of atoms : 69 ( 15 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 91 ( 22 ~; 12 |; 0 &; 54 @)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 8 ( 7 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 237 ( 234 usr; 14 con; 0-4 aty)
% Number of variables : 5 ( 0 sgn 5 !; 0 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
binary594033953_set_a: $tType ).
thf(type_def_6,type,
binary1439146945Tree_a: $tType ).
thf(type_def_7,type,
set_set_set_a: $tType ).
thf(type_def_8,type,
set_set_a: $tType ).
thf(type_def_9,type,
set_a: $tType ).
thf(type_def_10,type,
int: $tType ).
thf(type_def_11,type,
a: $tType ).
thf(type_def_12,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
binary313540327_set_a: binary594033953_set_a > set_a > binary594033953_set_a > binary594033953_set_a ).
thf(func_def_1,type,
binary717961607le_T_a: binary1439146945Tree_a > a > binary1439146945Tree_a > binary1439146945Tree_a ).
thf(func_def_2,type,
binary476621312_Tip_a: binary1439146945Tree_a ).
thf(func_def_3,type,
binary1613048283_set_a: binary594033953_set_a > set_set_a ).
thf(func_def_4,type,
binary256242811Tree_a: binary1439146945Tree_a > set_a ).
thf(func_def_5,type,
binary504661350_eqs_a: ( a > int ) > a > set_a ).
thf(func_def_6,type,
binary1001944660_set_a: binary594033953_set_a > set_set_a ).
thf(func_def_7,type,
binary945792244etOf_a: binary1439146945Tree_a > set_a ).
thf(func_def_8,type,
binary512218034_set_a: ( set_a > int ) > binary594033953_set_a > $o ).
thf(func_def_9,type,
binary1721989714Tree_a: ( a > int ) > binary1439146945Tree_a > $o ).
thf(func_def_10,type,
binary1524747315_set_a: ( set_a > int ) > set_a > set_a > binary594033953_set_a > $o ).
thf(func_def_11,type,
binary670562003pred_a: ( a > int ) > a > a > binary1439146945Tree_a > $o ).
thf(func_def_12,type,
the_a: ( a > $o ) > a ).
thf(func_def_13,type,
semila1223476304_a_a_o: ( ( a > a > $o ) > ( a > a > $o ) > a > a > $o ) > ( a > a > $o ) > $o ).
thf(func_def_14,type,
semila980155549tr_a_o: ( ( a > $o ) > ( a > $o ) > a > $o ) > ( a > $o ) > $o ).
thf(func_def_15,type,
semila1409648192_set_a: ( set_a > set_a > set_a ) > set_a > $o ).
thf(func_def_16,type,
sup_su198629954et_a_o: ( set_a > set_a > $o ) > ( set_a > set_a > $o ) > set_a > set_a > $o ).
thf(func_def_17,type,
sup_sup_set_a_o: ( set_a > $o ) > ( set_a > $o ) > set_a > $o ).
thf(func_def_18,type,
sup_sup_a_a_o: ( a > a > $o ) > ( a > a > $o ) > a > a > $o ).
thf(func_def_19,type,
sup_sup_a_o: ( a > $o ) > ( a > $o ) > a > $o ).
thf(func_def_20,type,
sup_sup_int: int > int > int ).
thf(func_def_21,type,
sup_sup_set_set_a: set_set_a > set_set_a > set_set_a ).
thf(func_def_22,type,
sup_sup_set_a: set_a > set_a > set_a ).
thf(func_def_23,type,
bot_bot_set_a_o: set_a > $o ).
thf(func_def_24,type,
bot_bot_a_a_o: a > a > $o ).
thf(func_def_25,type,
bot_bot_a_o: a > $o ).
thf(func_def_26,type,
bot_bot_o: $o ).
thf(func_def_27,type,
bot_bot_set_set_a: set_set_a ).
thf(func_def_28,type,
bot_bot_set_a: set_a ).
thf(func_def_29,type,
ord_less_set_a_o: ( set_a > $o ) > ( set_a > $o ) > $o ).
thf(func_def_30,type,
ord_less_a_a_o: ( a > a > $o ) > ( a > a > $o ) > $o ).
thf(func_def_31,type,
ord_less_a_o: ( a > $o ) > ( a > $o ) > $o ).
thf(func_def_32,type,
ord_less_int: int > int > $o ).
thf(func_def_33,type,
ord_less_set_set_a: set_set_a > set_set_a > $o ).
thf(func_def_34,type,
ord_less_set_a: set_a > set_a > $o ).
thf(func_def_35,type,
ord_less_eq_set_a: set_a > set_a > $o ).
thf(func_def_36,type,
powp_set_a: ( set_a > $o ) > set_set_a > $o ).
thf(func_def_37,type,
powp_a: ( a > $o ) > set_a > $o ).
thf(func_def_38,type,
collect_set_set_a: ( set_set_a > $o ) > set_set_set_a ).
thf(func_def_39,type,
collect_set_a: ( set_a > $o ) > set_set_a ).
thf(func_def_40,type,
collect_a: ( a > $o ) > set_a ).
thf(func_def_41,type,
pow_set_a: set_set_a > set_set_set_a ).
thf(func_def_42,type,
pow_a: set_a > set_set_a ).
thf(func_def_43,type,
insert_set_a: set_a > set_set_a > set_set_a ).
thf(func_def_44,type,
insert_a: a > set_a > set_a ).
thf(func_def_45,type,
is_empty_a: set_a > $o ).
thf(func_def_46,type,
is_singleton_set_a: set_set_a > $o ).
thf(func_def_47,type,
is_singleton_a: set_a > $o ).
thf(func_def_48,type,
the_elem_a: set_a > a ).
thf(func_def_49,type,
chains_a: set_set_a > set_set_set_a ).
thf(func_def_50,type,
pred_chain_set_a: set_set_a > ( set_a > set_a > $o ) > set_set_a > $o ).
thf(func_def_51,type,
pred_chain_a: set_a > ( a > a > $o ) > set_a > $o ).
thf(func_def_52,type,
member_set_set_a: set_set_a > set_set_set_a > $o ).
thf(func_def_53,type,
member_set_a: set_a > set_set_a > $o ).
thf(func_def_54,type,
member_a: a > set_a > $o ).
thf(func_def_55,type,
a2: a ).
thf(func_def_56,type,
b: a ).
thf(func_def_57,type,
h: a > int ).
thf(func_def_58,type,
t1: binary1439146945Tree_a ).
thf(func_def_59,type,
t2: binary1439146945Tree_a ).
thf(func_def_60,type,
x: a ).
thf(func_def_64,type,
vAND: $o > $o > $o ).
thf(func_def_65,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_66,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_67,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_68,type,
vNOT: $o > $o ).
thf(func_def_69,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_70,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_71,type,
vIMP: $o > $o > $o ).
thf(func_def_72,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_73,type,
vOR: $o > $o > $o ).
thf(func_def_74,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_75,type,
sK0: ( int > int > $o ) > int ).
thf(func_def_76,type,
sK1: ( int > int > $o ) > int ).
thf(func_def_77,type,
sK2: ( int > int > $o ) > int ).
thf(func_def_78,type,
sK3: ( int > int > $o ) > int ).
thf(func_def_79,type,
sK4: ( int > int > $o ) > int ).
thf(func_def_80,type,
sK5: ( int > $o ) > ( int > $o ) > ( int > $o ) > ( int > $o ) > int ).
thf(func_def_81,type,
sK6: int > ( int > $o ) > ( int > $o ) > int ).
thf(func_def_82,type,
sK7: int > ( int > $o ) > ( int > $o ) > int ).
thf(func_def_83,type,
sK8: set_a > ( a > $o ) > set_a > a ).
thf(func_def_84,type,
sK9: ( a > $o ) > set_a > a ).
thf(func_def_85,type,
sK10: set_a > ( a > $o ) > a ).
thf(func_def_86,type,
sK11: a > set_a > set_a ).
thf(func_def_87,type,
sK12: ( ( a > $o ) > a > $o ) > a > $o ).
thf(func_def_88,type,
sK13: ( ( a > $o ) > a > $o ) > a > $o ).
thf(func_def_89,type,
sK14: int > int ).
thf(func_def_90,type,
sK15: ( a > a > $o ) > set_a > a > a ).
thf(func_def_91,type,
sK16: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_92,type,
sK17: int > int ).
thf(func_def_93,type,
sK18: ( int > int ) > int ).
thf(func_def_94,type,
sK19: ( int > int ) > int ).
thf(func_def_95,type,
sK20: ( ( a > $o ) > set_a ) > a > $o ).
thf(func_def_96,type,
sK21: ( ( a > $o ) > set_a ) > a > $o ).
thf(func_def_97,type,
sK22: set_a > a ).
thf(func_def_98,type,
sK23: ( a > $o ) > a ).
thf(func_def_99,type,
sK24: set_set_a > set_a > set_a ).
thf(func_def_100,type,
sK25: ( int > int ) > int ).
thf(func_def_101,type,
sK26: ( int > int ) > int ).
thf(func_def_102,type,
sK27: ( binary1439146945Tree_a > $o ) > a ).
thf(func_def_103,type,
sK28: ( binary1439146945Tree_a > $o ) > binary1439146945Tree_a ).
thf(func_def_104,type,
sK29: ( binary1439146945Tree_a > $o ) > binary1439146945Tree_a ).
thf(func_def_105,type,
sK30: set_a > a ).
thf(func_def_106,type,
sK31: ( ( a > $o ) > set_a ) > a > $o ).
thf(func_def_107,type,
sK32: ( ( a > $o ) > set_a ) > a > $o ).
thf(func_def_108,type,
sK33: int > int ).
thf(func_def_109,type,
sK34: ( ( a > $o ) > int ) > a > $o ).
thf(func_def_110,type,
sK35: ( ( a > $o ) > int ) > a > $o ).
thf(func_def_111,type,
sK36: a > binary1439146945Tree_a > binary1439146945Tree_a ).
thf(func_def_112,type,
sK37: a > binary1439146945Tree_a > binary1439146945Tree_a ).
thf(func_def_113,type,
sK38: a > binary1439146945Tree_a > a ).
thf(func_def_114,type,
sK39: a > binary1439146945Tree_a > binary1439146945Tree_a ).
thf(func_def_115,type,
sK40: a > binary1439146945Tree_a > binary1439146945Tree_a ).
thf(func_def_116,type,
sK41: a > binary1439146945Tree_a > binary1439146945Tree_a ).
thf(func_def_117,type,
sK42: a > binary1439146945Tree_a > binary1439146945Tree_a ).
thf(func_def_118,type,
sK43: a > binary1439146945Tree_a > a ).
thf(func_def_119,type,
sK44: ( ( a > $o ) > int ) > a > $o ).
thf(func_def_120,type,
sK45: ( ( a > $o ) > int ) > a > $o ).
thf(func_def_121,type,
sK46: ( int > a > $o ) > int ).
thf(func_def_122,type,
sK47: ( int > a > $o ) > int ).
thf(func_def_123,type,
sK48: binary1439146945Tree_a > a > ( a > int ) > a ).
thf(func_def_124,type,
sK49: binary1439146945Tree_a > a > ( a > int ) > a ).
thf(func_def_125,type,
sK50: int > int ).
thf(func_def_126,type,
sK51: ( int > set_a ) > int ).
thf(func_def_127,type,
sK52: ( int > set_a ) > int ).
thf(func_def_128,type,
sK53: ( int > a > $o ) > int ).
thf(func_def_129,type,
sK54: ( int > a > $o ) > int ).
thf(func_def_130,type,
sK55: ( a > $o ) > set_a > set_a > a ).
thf(func_def_131,type,
sK56: ( a > $o ) > set_a > a ).
thf(func_def_132,type,
sK57: ( a > $o ) > set_a > a ).
thf(func_def_133,type,
sK58: ( int > set_a ) > int ).
thf(func_def_134,type,
sK59: ( int > set_a ) > int ).
thf(func_def_135,type,
sK60: ( int > int ) > int ).
thf(func_def_136,type,
sK61: ( int > int ) > int ).
thf(func_def_137,type,
sK62: binary594033953_set_a > set_a > binary594033953_set_a ).
thf(func_def_138,type,
sK63: binary594033953_set_a > set_a > set_a ).
thf(func_def_139,type,
sK64: binary594033953_set_a > set_a > binary594033953_set_a ).
thf(func_def_140,type,
sK65: binary594033953_set_a > set_a > binary594033953_set_a ).
thf(func_def_141,type,
sK66: binary594033953_set_a > set_a > set_a ).
thf(func_def_142,type,
sK67: binary594033953_set_a > set_a > binary594033953_set_a ).
thf(func_def_143,type,
sK68: binary594033953_set_a > set_a > binary594033953_set_a ).
thf(func_def_144,type,
sK69: binary594033953_set_a > set_a > binary594033953_set_a ).
thf(func_def_145,type,
sK70: set_set_a > set_a > set_a > set_set_a > set_set_a ).
thf(func_def_146,type,
sK71: ( set_a > int ) > set_a ).
thf(func_def_147,type,
sK72: ( set_a > int ) > set_a ).
thf(func_def_148,type,
sK73: ( set_a > a > $o ) > set_a ).
thf(func_def_149,type,
sK74: ( set_a > a > $o ) > set_a ).
thf(func_def_150,type,
sK75: ( set_a > set_a ) > set_a ).
thf(func_def_151,type,
sK76: ( set_a > set_a ) > set_a ).
thf(func_def_152,type,
sK77: ( ( a > $o ) > int ) > a > $o ).
thf(func_def_153,type,
sK78: ( ( a > $o ) > int ) > a > $o ).
thf(func_def_154,type,
sK79: binary1439146945Tree_a > a ).
thf(func_def_155,type,
sK80: binary1439146945Tree_a > binary1439146945Tree_a ).
thf(func_def_156,type,
sK81: binary1439146945Tree_a > binary1439146945Tree_a ).
thf(func_def_157,type,
sK82: set_a > set_a > a ).
thf(func_def_158,type,
sK83: set_set_a > set_a ).
thf(func_def_159,type,
sK84: set_set_a > set_a ).
thf(func_def_160,type,
sK85: set_set_a > ( set_a > set_a > $o ) > set_a > set_a ).
thf(func_def_161,type,
sK86: ( a > a > $o ) > ( a > a > $o ) > set_a > a ).
thf(func_def_162,type,
sK87: ( a > a > $o ) > ( a > a > $o ) > set_a > a ).
thf(func_def_163,type,
sK88: set_set_a > set_a > set_set_a ).
thf(func_def_164,type,
sK89: ( int > a > $o ) > int ).
thf(func_def_165,type,
sK90: ( int > a > $o ) > int ).
thf(func_def_166,type,
sK91: ( int > set_a ) > int ).
thf(func_def_167,type,
sK92: ( int > set_a ) > int ).
thf(func_def_168,type,
sK93: set_a > a > set_a > a > set_a ).
thf(func_def_169,type,
sK94: set_set_a > set_a ).
thf(func_def_170,type,
sK95: set_a > a ).
thf(func_def_171,type,
sK96: set_a > set_set_a > set_set_a ).
thf(func_def_172,type,
sK97: ( int > int ) > int ).
thf(func_def_173,type,
sK98: ( int > int ) > int ).
thf(func_def_174,type,
sK99: ( ( a > $o ) > set_a ) > a > $o ).
thf(func_def_175,type,
sK100: ( ( a > $o ) > set_a ) > a > $o ).
thf(func_def_176,type,
sK101: int > ( int > $o ) > ( int > $o ) > int ).
thf(func_def_177,type,
sK102: ( int > $o ) > ( int > $o ) > ( int > $o ) > ( int > $o ) > int ).
thf(func_def_178,type,
sK103: int > ( int > $o ) > ( int > $o ) > int ).
thf(func_def_179,type,
sK104: set_a > a > set_a ).
thf(func_def_180,type,
sK105: ( set_a > a > $o ) > set_a ).
thf(func_def_181,type,
sK106: ( set_a > a > $o ) > set_a ).
thf(func_def_182,type,
sK107: int > int ).
thf(func_def_183,type,
sK108: ( set_a > a > $o ) > set_a ).
thf(func_def_184,type,
sK109: ( set_a > a > $o ) > set_a ).
thf(func_def_185,type,
sK110: set_a > a ).
thf(func_def_186,type,
sK111: set_a > a ).
thf(func_def_187,type,
sK112: set_a > set_set_a > set_a ).
thf(func_def_188,type,
sK113: ( set_a > int ) > set_a ).
thf(func_def_189,type,
sK114: ( set_a > int ) > set_a ).
thf(func_def_190,type,
sK115: ( set_a > a > $o ) > set_a ).
thf(func_def_191,type,
sK116: ( set_a > a > $o ) > set_a ).
thf(func_def_192,type,
sK117: ( ( a > $o ) > a > $o ) > a > $o ).
thf(func_def_193,type,
sK118: ( ( a > $o ) > a > $o ) > a > $o ).
thf(func_def_194,type,
sK119: ( int > a > $o ) > int ).
thf(func_def_195,type,
sK120: ( int > a > $o ) > int ).
thf(func_def_196,type,
sK121: int > int ).
thf(func_def_197,type,
sK122: ( ( a > $o ) > a > $o ) > a > $o ).
thf(func_def_198,type,
sK123: ( ( a > $o ) > a > $o ) > a > $o ).
thf(func_def_199,type,
sK124: ( set_a > int ) > set_a ).
thf(func_def_200,type,
sK125: ( set_a > int ) > set_a ).
thf(func_def_201,type,
sK126: ( set_a > set_a ) > set_a ).
thf(func_def_202,type,
sK127: ( set_a > set_a ) > set_a ).
thf(func_def_203,type,
sK128: int > int ).
thf(func_def_204,type,
sK129: int > ( int > $o ) > ( int > $o ) > int ).
thf(func_def_205,type,
sK130: ( int > $o ) > ( int > $o ) > ( int > $o ) > ( int > $o ) > int ).
thf(func_def_206,type,
sK131: int > ( int > $o ) > ( int > $o ) > int ).
thf(func_def_207,type,
sK132: ( set_a > int ) > set_a ).
thf(func_def_208,type,
sK133: ( set_a > int ) > set_a ).
thf(func_def_209,type,
sK134: set_a > a ).
thf(func_def_210,type,
sK135: ( ( a > $o ) > a > $o ) > a > $o ).
thf(func_def_211,type,
sK136: ( ( a > $o ) > a > $o ) > a > $o ).
thf(func_def_212,type,
sK137: ( set_a > set_a ) > set_a ).
thf(func_def_213,type,
sK138: ( set_a > set_a ) > set_a ).
thf(func_def_214,type,
sK139: set_set_a > set_a ).
thf(func_def_215,type,
sK140: ( int > set_a ) > int ).
thf(func_def_216,type,
sK141: ( int > set_a ) > int ).
thf(func_def_217,type,
sK142: int > int ).
thf(func_def_218,type,
sK143: int > int ).
thf(func_def_219,type,
sK144: ( ( a > $o ) > int ) > a > $o ).
thf(func_def_220,type,
sK145: ( ( a > $o ) > int ) > a > $o ).
thf(func_def_221,type,
sK146: set_set_a > ( set_a > set_a > $o ) > ( set_a > set_a > $o ) > set_a ).
thf(func_def_222,type,
sK147: set_set_a > ( set_a > set_a > $o ) > ( set_a > set_a > $o ) > set_a ).
thf(func_def_223,type,
sK148: set_set_a > set_a ).
thf(func_def_224,type,
sK149: int > int ).
thf(func_def_225,type,
sK150: ( set_a > set_a ) > set_a ).
thf(func_def_226,type,
sK151: ( set_a > set_a ) > set_a ).
thf(func_def_227,type,
sK152: ( int > $o ) > ( int > $o ) > ( int > $o ) > ( int > $o ) > int ).
thf(func_def_228,type,
sK153: int > ( int > $o ) > ( int > $o ) > int ).
thf(func_def_229,type,
sK154: int > ( int > $o ) > ( int > $o ) > int ).
thf(func_def_230,type,
sK155: ( ( a > $o ) > set_a ) > a > $o ).
thf(func_def_231,type,
sK156: ( ( a > $o ) > set_a ) > a > $o ).
thf(func_def_232,type,
sK157: ( a > $o ) > a ).
thf(f1,axiom,
( ( h @ a2 )
= ( h @ b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_hahb) ).
thf(f2,axiom,
ord_less_int @ ( h @ b ) @ ( h @ a2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1__092_060open_062h_Ab_A_060_Ah_Aa_092_060close_062) ).
thf(f116,axiom,
! [X0: int] :
~ ( ord_less_int @ X0 @ X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_115_less__irrefl) ).
thf(f371,plain,
ord_less_int @ ( h @ b ) @ ( h @ a2 ),
inference(rectify,[],[f2]) ).
thf(f372,plain,
( ( ord_less_int @ ( h @ b ) @ ( h @ a2 ) )
= $true ),
inference(fool_elimination,[],[f371]) ).
thf(f902,plain,
! [X0: int] :
~ ( ord_less_int @ X0 @ X0 ),
inference(rectify,[],[f116]) ).
thf(f903,plain,
! [X0: int] :
( ( ord_less_int @ X0 @ X0 )
!= $true ),
inference(fool_elimination,[],[f902]) ).
thf(f1021,plain,
! [X0: int] :
( ( ord_less_int @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f903]) ).
thf(f1659,plain,
! [X0: int] :
( ( ord_less_int @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f1021]) ).
thf(f1947,plain,
( ( ord_less_int @ ( h @ b ) @ ( h @ a2 ) )
= $true ),
inference(cnf_transformation,[],[f372]) ).
thf(f2129,plain,
( ( h @ a2 )
= ( h @ b ) ),
inference(cnf_transformation,[],[f1]) ).
thf(f2737,definition,
( spl158_30
<=> ( ( h @ a2 )
= ( h @ b ) ) ),
introduced(definition,[new_symbols(definition,[spl158_30])],[avatar_definition]) ).
thf(f2739,plain,
( ( ( h @ a2 )
= ( h @ b ) )
| ~ spl158_30 ),
inference(avatar_component_clause,[],[f2737]) ).
thf(f2740,plain,
spl158_30,
inference(avatar_split_clause,[],[f2129,f2737]) ).
thf(f2818,definition,
( spl158_46
<=> ( ( ord_less_int @ ( h @ b ) @ ( h @ a2 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl158_46])],[avatar_definition]) ).
thf(f2820,plain,
( ( ( ord_less_int @ ( h @ b ) @ ( h @ a2 ) )
= $true )
| ~ spl158_46 ),
inference(avatar_component_clause,[],[f2818]) ).
thf(f2821,plain,
spl158_46,
inference(avatar_split_clause,[],[f1947,f2818]) ).
thf(f2908,plain,
( ( $true
= ( ord_less_int @ ( h @ a2 ) @ ( h @ a2 ) ) )
| ~ spl158_30
| ~ spl158_46 ),
inference(forward_demodulation,[],[f2820,f2739]) ).
thf(f2910,definition,
( spl158_64
<=> ( $true
= ( ord_less_int @ ( h @ a2 ) @ ( h @ a2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl158_64])],[avatar_definition]) ).
thf(f2912,plain,
( ( $true
= ( ord_less_int @ ( h @ a2 ) @ ( h @ a2 ) ) )
| ~ spl158_64 ),
inference(avatar_component_clause,[],[f2910]) ).
thf(f2913,plain,
( spl158_64
| ~ spl158_30
| ~ spl158_46 ),
inference(avatar_split_clause,[],[f2908,f2818,f2737,f2910]) ).
thf(f2914,plain,
( ( $true != $true )
| ~ spl158_64 ),
inference(superposition,[],[f1659,f2912]) ).
thf(f2915,plain,
( $false
| ~ spl158_64 ),
inference(trivial_inequality_removal,[],[f2914]) ).
thf(f2916,plain,
~ spl158_64,
inference(avatar_contradiction_clause,[],[f2915]) ).
cnf(s31,plain,
spl158_30,
inference(sat_conversion,[],[f2740]) ).
cnf(s53,plain,
spl158_46,
inference(sat_conversion,[],[f2821]) ).
cnf(s83,plain,
( ~ spl158_30
| ~ spl158_46
| spl158_64 ),
inference(sat_conversion,[],[f2913]) ).
cnf(s84,plain,
~ spl158_64,
inference(sat_conversion,[],[f2916]) ).
cnf(s85,plain,
( ~ spl158_30
| ~ spl158_46 ),
inference(rat,[],[s83,s84]) ).
cnf(s86,plain,
~ spl158_30,
inference(rat,[],[s85,s53]) ).
cnf(s87,plain,
$false,
inference(rat,[],[s31,s86]) ).
thf(f2917,plain,
$false,
inference(avatar_sat_refutation,[],[s87]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP029^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 % Computer : n006.cluster.edu
% 0.08/0.21 % Model : x86_64 x86_64
% 0.08/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.21 % Memory : 8046.5625MB
% 0.08/0.21 % OS : Linux 6.8.0-71-generic
% 0.08/0.21 % CPULimit : 300
% 0.08/0.21 % WCLimit : 300
% 0.08/0.21 % DateTime : Tue Sep 29 19:38:10 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.25 Running higher-order theorem proving
% 0.22/0.30 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.07/0.53 % (1209641)Detected a higher-order problem, will run a greedy HOL sequence.
% 1.07/0.53 % (1209646)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1461740526:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 1.07/0.53 % (1209647)lrs+10_16_si=on:nwc=1.5:random_seed=2862247590:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 1.07/0.53 % (1209652)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 1.07/0.53 % (1209652)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
% 1.07/0.53 % (1209648)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2279789632:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 1.07/0.53 % (1209650)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3571459696:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 1.07/0.53 % (1209649)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=1811980502: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)
% 1.07/0.53 % (1209651)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3086267299:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 1.07/0.53 % (1209648)Instruction limit reached!
% 1.07/0.53 % (1209648)------------------------------
% 1.07/0.53 % (1209648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.53 % (1209648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.53 % (1209648)CaDiCaL version: 2.1.3
% 1.07/0.53 % (1209648)Termination reason: Instruction limit
% 1.07/0.53 % (1209648)Termination phase: shuffling
% 1.07/0.53 % (1209648)Time elapsed: 0.004 s
% 1.07/0.53 % (1209648)Peak memory usage: 10 MB
% 1.07/0.53 % (1209648)Instructions burned: 4 (million)
% 1.07/0.53 % (1209652)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=2699138178:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 1.07/0.53 % (1209647)Instruction limit reached!
% 1.07/0.53 % (1209647)------------------------------
% 1.07/0.53 % (1209647)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.53 % (1209647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.53 % (1209647)CaDiCaL version: 2.1.3
% 1.07/0.53 % (1209647)Termination reason: Instruction limit
% 1.07/0.53 % (1209647)Termination phase: shuffling
% 1.07/0.53 % (1209647)Time elapsed: 0.010 s
% 1.07/0.53 % (1209647)Peak memory usage: 10 MB
% 1.07/0.53 % (1209647)Instructions burned: 20 (million)
% 1.07/0.53 % (1209650)Instruction limit reached!
% 1.07/0.53 % (1209650)------------------------------
% 1.07/0.53 % (1209650)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.53 % (1209650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.53 % (1209650)CaDiCaL version: 2.1.3
% 1.07/0.53 % (1209650)Termination reason: Instruction limit
% 1.07/0.53 % (1209650)Termination phase: Property scanning
% 1.07/0.53 % (1209650)Time elapsed: 0.021 s
% 1.07/0.53 % (1209650)Peak memory usage: 10 MB
% 1.07/0.53 % (1209650)Instructions burned: 25 (million)
% 1.07/0.53 % (1209646)Instruction limit reached!
% 1.07/0.53 % (1209646)------------------------------
% 1.07/0.53 % (1209646)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.53 % (1209646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.53 % (1209646)CaDiCaL version: 2.1.3
% 1.07/0.53 % (1209646)Termination reason: Instruction limit
% 1.07/0.53 % (1209646)Termination phase: Function definition elimination
% 1.07/0.53 % (1209646)Time elapsed: 0.039 s
% 1.07/0.53 % (1209646)Peak memory usage: 11 MB
% 1.07/0.53 % (1209646)Instructions burned: 88 (million)
% 1.07/0.53 % (1209661)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2406631745:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.07/0.53 % (1209661)Instruction limit reached!
% 1.07/0.53 % (1209661)------------------------------
% 1.07/0.53 % (1209661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.54 % (1209661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.54 % (1209661)CaDiCaL version: 2.1.3
% 1.07/0.54 % (1209661)Termination reason: Instruction limit
% 1.07/0.54 % (1209661)Termination phase: shuffling
% 1.07/0.54 % (1209661)Time elapsed: 0.005 s
% 1.07/0.54 % (1209661)Peak memory usage: 10 MB
% 1.07/0.54 % (1209661)Instructions burned: 5 (million)
% 1.07/0.54 % (1209660)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2608015683:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.07/0.54 % (1209660)Instruction limit reached!
% 1.07/0.54 % (1209660)------------------------------
% 1.07/0.54 % (1209660)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.54 % (1209660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.54 % (1209660)CaDiCaL version: 2.1.3
% 1.07/0.54 % (1209660)Termination reason: Instruction limit
% 1.07/0.54 % (1209660)Termination phase: shuffling
% 1.07/0.54 % (1209660)Time elapsed: 0.003 s
% 1.07/0.54 % (1209660)Peak memory usage: 10 MB
% 1.07/0.54 % (1209660)Instructions burned: 2 (million)
% 1.07/0.54 % (1209663)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1259287956:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.07/0.54 % (1209662)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.07/0.54 % (1209663)Instruction limit reached!
% 1.07/0.54 % (1209663)------------------------------
% 1.07/0.54 % (1209663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.54 % (1209663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.54 % (1209663)CaDiCaL version: 2.1.3
% 1.07/0.54 % (1209663)Termination reason: Instruction limit
% 1.07/0.54 % (1209663)Termination phase: shuffling
% 1.07/0.54 % (1209663)Time elapsed: 0.006 s
% 1.07/0.54 % (1209663)Peak memory usage: 10 MB
% 1.07/0.54 % (1209663)Instructions burned: 14 (million)
% 1.07/0.54 % (1209662)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1605512193:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.07/0.54 % (1209662)Instruction limit reached!
% 1.07/0.54 % (1209662)------------------------------
% 1.07/0.54 % (1209662)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.54 % (1209662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.54 % (1209662)CaDiCaL version: 2.1.3
% 1.07/0.54 % (1209662)Termination reason: Instruction limit
% 1.07/0.54 % (1209662)Termination phase: shuffling
% 1.07/0.54 % (1209662)Time elapsed: 0.006 s
% 1.07/0.54 % (1209662)Peak memory usage: 10 MB
% 1.07/0.54 % (1209662)Instructions burned: 7 (million)
% 1.07/0.54 % (1209651)Instruction limit reached!
% 1.07/0.54 % (1209651)------------------------------
% 1.07/0.54 % (1209651)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.54 % (1209651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.54 % (1209651)CaDiCaL version: 2.1.3
% 1.07/0.54 % (1209651)Termination reason: Instruction limit
% 1.07/0.54 % (1209651)Termination phase: Property scanning
% 1.07/0.54 % (1209651)Time elapsed: 0.061 s
% 1.07/0.54 % (1209651)Peak memory usage: 12 MB
% 1.07/0.54 % (1209651)Instructions burned: 75 (million)
% 1.07/0.54 % (1209669)lrs+10_1_si=on:cs=on:random_seed=2175213478:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.07/0.54 % (1209669)Instruction limit reached!
% 1.07/0.54 % (1209669)------------------------------
% 1.07/0.54 % (1209669)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.54 % (1209669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.54 % (1209669)CaDiCaL version: 2.1.3
% 1.07/0.54 % (1209669)Termination reason: Instruction limit
% 1.07/0.54 % (1209669)Termination phase: shuffling
% 1.07/0.54 % (1209669)Time elapsed: 0.004 s
% 1.07/0.54 % (1209669)Peak memory usage: 10 MB
% 1.07/0.54 % (1209669)Instructions burned: 9 (million)
% 1.07/0.54 % (1209665)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
% 1.07/0.54 % (1209665)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.07/0.54 % (1209665)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3177659962:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2998 on theBenchmark for (2998ds/28Mi)
% 1.07/0.54 % (1209667)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=2603866220:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 1.07/0.54 % (1209674)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=480308525:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.07/0.54 % (1209671)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.07/0.54 % (1209671)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=1171338109:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.07/0.54 % (1209671)Instruction limit reached!
% 1.07/0.54 % (1209671)------------------------------
% 1.07/0.54 % (1209671)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.54 % (1209671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.54 % (1209671)CaDiCaL version: 2.1.3
% 1.07/0.54 % (1209671)Termination reason: Instruction limit
% 1.07/0.54 % (1209671)Termination phase: shuffling
% 1.07/0.54 % (1209671)Time elapsed: 0.003 s
% 1.07/0.54 % (1209671)Peak memory usage: 10 MB
% 1.07/0.54 % (1209671)Instructions burned: 2 (million)
% 1.07/0.54 % (1209673)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3096517804:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.07/0.54 % (1209665)Instruction limit reached!
% 1.07/0.54 % (1209665)------------------------------
% 1.07/0.54 % (1209665)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.54 % (1209665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.54 % (1209665)CaDiCaL version: 2.1.3
% 1.07/0.54 % (1209665)Termination reason: Instruction limit
% 1.07/0.54 % (1209665)Termination phase: shuffling
% 1.07/0.54 % (1209665)Time elapsed: 0.024 s
% 1.07/0.54 % (1209665)Peak memory usage: 10 MB
% 1.07/0.54 % (1209665)Instructions burned: 28 (million)
% 1.07/0.54 % (1209674)Refutation not found, incomplete strategy
% 1.07/0.54 % (1209674)------------------------------
% 1.07/0.54 % (1209674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.54 % (1209674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.54 % (1209674)CaDiCaL version: 2.1.3
% 1.07/0.54 % (1209674)Termination reason: Refutation not found, incomplete strategy
% 1.07/0.54 % (1209674)Time elapsed: 0.021 s
% 1.07/0.54 % (1209674)Peak memory usage: 12 MB
% 1.07/0.54 % (1209674)Instructions burned: 46 (million)
% 1.07/0.54 % (1209674)------------------------------
% 1.07/0.54 % (1209674)------------------------------
% 1.07/0.54 % (1209682)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=4158349559:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.07/0.54 % (1209652)Instruction limit reached!
% 1.07/0.54 % (1209652)------------------------------
% 1.07/0.54 % (1209652)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.54 % (1209652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.54 % (1209652)CaDiCaL version: 2.1.3
% 1.07/0.54 % (1209652)Termination reason: Instruction limit
% 1.07/0.54 % (1209652)Termination phase: Saturation
% 1.07/0.54 % (1209652)Time elapsed: 0.125 s
% 1.07/0.54 % (1209652)Peak memory usage: 13 MB
% 1.07/0.54 % (1209652)Instructions burned: 158 (million)
% 1.07/0.54 % (1209673)Instruction limit reached!
% 1.07/0.54 % (1209673)------------------------------
% 1.07/0.54 % (1209673)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.54 % (1209673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.54 % (1209673)CaDiCaL version: 2.1.3
% 1.07/0.54 % (1209673)Termination reason: Instruction limit
% 1.07/0.54 % (1209673)Termination phase: SInE selection
% 1.07/0.54 % (1209673)Time elapsed: 0.031 s
% 1.07/0.54 % (1209673)Peak memory usage: 11 MB
% 1.07/0.54 % (1209673)Instructions burned: 38 (million)
% 1.07/0.54 % (1209667)Instruction limit reached!
% 1.07/0.54 % (1209667)------------------------------
% 1.07/0.54 % (1209667)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.54 % (1209649) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1209641-1209649"...
% 1.07/0.54 % (1209667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.54 % (1209667)CaDiCaL version: 2.1.3
% 1.07/0.54 % (1209667)Termination reason: Instruction limit
% 1.07/0.54 % (1209667)Termination phase: Property scanning
% 1.07/0.54 % (1209667)Time elapsed: 0.058 s
% 1.07/0.54 % (1209667)Peak memory usage: 11 MB
% 1.07/0.54 % (1209667)Instructions burned: 89 (million)
% 1.07/0.54 % (1209649)...printing done.
% 1.07/0.54 % (1209681)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2707547684:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.07/0.54 % (1209679)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3549595808:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.07/0.54 % (1209649)Refutation found. Thanks to Tanya!
% 1.07/0.54 % SZS status ContradictoryAxioms for theBenchmark
% 1.07/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.07/0.54 % (1209649)------------------------------
% 1.07/0.54 % (1209649)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.54 % (1209649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.54 % (1209649)CaDiCaL version: 2.1.3
% 1.07/0.54 % (1209649)Termination reason: Refutation
% 1.07/0.54 % (1209649)Time elapsed: 0.147 s
% 1.07/0.54 % (1209649)Peak memory usage: 15 MB
% 1.07/0.54 % (1209649)Instructions burned: 179 (million)
% 1.07/0.54 % (1209641)Success in time 0.224 s
% 1.07/0.54 % Vampire exiting
%------------------------------------------------------------------------------