%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP104^1 : 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 : n015.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 08:08:21 AM UTC 2026
% Result : Theorem 0.54s 0.45s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 42 ( 15 unt; 0 typ; 3 def)
% Number of atoms : 105 ( 38 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 294 ( 28 ~; 24 |; 0 &; 233 @)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 18 ( 17 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 263 ( 260 usr; 9 con; 0-4 aty)
% Number of variables : 36 ( 0 sgn 36 !; 0 ?; 36 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
list_l2071841302list_a: $tType ).
thf(type_def_6,type,
list_list_list_nat: $tType ).
thf(type_def_7,type,
list_list_list_a: $tType ).
thf(type_def_8,type,
set_list_list_a: $tType ).
thf(type_def_9,type,
list_set_list_a: $tType ).
thf(type_def_10,type,
list_list_nat: $tType ).
thf(type_def_11,type,
set_list_nat: $tType ).
thf(type_def_12,type,
list_set_nat: $tType ).
thf(type_def_13,type,
list_list_a: $tType ).
thf(type_def_14,type,
set_list_a: $tType ).
thf(type_def_15,type,
list_set_a: $tType ).
thf(type_def_16,type,
list_nat: $tType ).
thf(type_def_17,type,
set_nat: $tType ).
thf(type_def_18,type,
list_a: $tType ).
thf(type_def_19,type,
set_a: $tType ).
thf(type_def_20,type,
nat: $tType ).
thf(type_def_21,type,
a: $tType ).
thf(type_def_22,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
f_image_list_list_a: list_list_list_a > set_nat > set_list_list_a ).
thf(func_def_1,type,
f_image_list_nat: list_list_nat > set_nat > set_list_nat ).
thf(func_def_2,type,
f_image_list_a: list_list_a > set_nat > set_list_a ).
thf(func_def_3,type,
f_image_nat: list_nat > set_nat > set_nat ).
thf(func_def_4,type,
f_image_a: list_a > set_nat > set_a ).
thf(func_def_5,type,
list_asc_nat: list_nat > $o ).
thf(func_def_6,type,
list_asc_set_list_a: list_set_list_a > $o ).
thf(func_def_7,type,
list_asc_set_nat: list_set_nat > $o ).
thf(func_def_8,type,
list_asc_set_a: list_set_a > $o ).
thf(func_def_9,type,
list_desc_nat: list_nat > $o ).
thf(func_def_10,type,
list_desc_set_list_a: list_set_list_a > $o ).
thf(func_def_11,type,
list_desc_set_nat: list_set_nat > $o ).
thf(func_def_12,type,
list_desc_set_a: list_set_a > $o ).
thf(func_def_13,type,
list_strict_asc_nat: list_nat > $o ).
thf(func_def_14,type,
list_strict_desc_nat: list_nat > $o ).
thf(func_def_15,type,
listSl769338732list_a: list_list_list_a > nat > list_l2071841302list_a ).
thf(func_def_16,type,
listSl2099749758st_nat: list_list_nat > nat > list_list_list_nat ).
thf(func_def_17,type,
listSl703198822list_a: list_list_a > nat > list_list_list_a ).
thf(func_def_18,type,
listSl882585454e2_nat: list_nat > nat > list_list_nat ).
thf(func_def_19,type,
listSl1174287072ice2_a: list_a > nat > list_list_a ).
thf(func_def_20,type,
listSl2102238196list_a: list_list_list_a > nat > list_l2071841302list_a ).
thf(func_def_21,type,
listSl729562870st_nat: list_list_nat > nat > list_list_list_nat ).
thf(func_def_22,type,
listSl162220270list_a: list_list_a > nat > list_list_list_a ).
thf(func_def_23,type,
listSl1630398182ce_nat: list_nat > nat > list_list_nat ).
thf(func_def_24,type,
listSl97544552lice_a: list_a > nat > list_list_a ).
thf(func_def_25,type,
listSl902632890list_a: list_list_list_a > nat > nat > list_l2071841302list_a ).
thf(func_def_26,type,
listSl1506485424st_nat: list_list_nat > nat > nat > list_list_list_nat ).
thf(func_def_27,type,
listSl856612276list_a: list_list_a > nat > nat > list_list_list_a ).
thf(func_def_28,type,
listSl1794011552ux_nat: list_nat > nat > nat > list_list_nat ).
thf(func_def_29,type,
listSl1495374126_aux_a: list_a > nat > nat > list_list_a ).
thf(func_def_30,type,
butlast_list_list_a: list_list_list_a > list_list_list_a ).
thf(func_def_31,type,
butlast_list_nat: list_list_nat > list_list_nat ).
thf(func_def_32,type,
butlast_list_a: list_list_a > list_list_a ).
thf(func_def_33,type,
butlast_nat: list_nat > list_nat ).
thf(func_def_34,type,
butlast_a: list_a > list_a ).
thf(func_def_35,type,
distinct_list_list_a: list_list_list_a > $o ).
thf(func_def_36,type,
distinct_list_nat: list_list_nat > $o ).
thf(func_def_37,type,
distinct_list_a: list_list_a > $o ).
thf(func_def_38,type,
distinct_nat: list_nat > $o ).
thf(func_def_39,type,
distinct_a: list_a > $o ).
thf(func_def_40,type,
set_list_list_a2: list_list_list_a > set_list_list_a ).
thf(func_def_41,type,
set_list_nat2: list_list_nat > set_list_nat ).
thf(func_def_42,type,
set_list_a2: list_list_a > set_list_a ).
thf(func_def_43,type,
set_nat2: list_nat > set_nat ).
thf(func_def_44,type,
set_a2: list_a > set_a ).
thf(func_def_45,type,
list_ex_list_list_a: ( list_list_a > $o ) > list_list_list_a > $o ).
thf(func_def_46,type,
list_ex_list_nat: ( list_nat > $o ) > list_list_nat > $o ).
thf(func_def_47,type,
list_ex_list_a: ( list_a > $o ) > list_list_a > $o ).
thf(func_def_48,type,
list_ex_nat: ( nat > $o ) > list_nat > $o ).
thf(func_def_49,type,
list_ex_a: ( a > $o ) > list_a > $o ).
thf(func_def_50,type,
list_u1330012152list_a: list_list_list_a > nat > list_list_a > list_list_list_a ).
thf(func_def_51,type,
list_update_list_nat: list_list_nat > nat > list_nat > list_list_nat ).
thf(func_def_52,type,
list_update_list_a: list_list_a > nat > list_a > list_list_a ).
thf(func_def_53,type,
list_update_nat: list_nat > nat > nat > list_nat ).
thf(func_def_54,type,
list_update_a: list_a > nat > a > list_a ).
thf(func_def_55,type,
nth_list_list_list_a: list_l2071841302list_a > nat > list_list_list_a ).
thf(func_def_56,type,
nth_list_list_nat: list_list_list_nat > nat > list_list_nat ).
thf(func_def_57,type,
nth_list_list_a: list_list_list_a > nat > list_list_a ).
thf(func_def_58,type,
nth_list_nat: list_list_nat > nat > list_nat ).
thf(func_def_59,type,
nth_list_a: list_list_a > nat > list_a ).
thf(func_def_60,type,
nth_nat: list_nat > nat > nat ).
thf(func_def_61,type,
nth_set_list_a: list_set_list_a > nat > set_list_a ).
thf(func_def_62,type,
nth_set_nat: list_set_nat > nat > set_nat ).
thf(func_def_63,type,
nth_set_a: list_set_a > nat > set_a ).
thf(func_def_64,type,
nth_a: list_a > nat > a ).
thf(func_def_65,type,
size_s1764310658list_a: list_l2071841302list_a > nat ).
thf(func_def_66,type,
size_s1321307156st_nat: list_list_list_nat > nat ).
thf(func_def_67,type,
size_s575106428list_a: list_list_list_a > nat ).
thf(func_def_68,type,
size_s1898481668st_nat: list_list_nat > nat ).
thf(func_def_69,type,
size_s1427607542list_a: list_list_a > nat ).
thf(func_def_70,type,
size_size_list_nat: list_nat > nat ).
thf(func_def_71,type,
size_s1635937238list_a: list_set_list_a > nat ).
thf(func_def_72,type,
size_s577819178et_nat: list_set_nat > nat ).
thf(func_def_73,type,
size_size_list_set_a: list_set_a > nat ).
thf(func_def_74,type,
size_size_list_a: list_a > nat ).
thf(func_def_75,type,
ord_less_nat: nat > nat > $o ).
thf(func_def_76,type,
ord_less_eq_nat: nat > nat > $o ).
thf(func_def_77,type,
ord_le1756736906list_a: set_list_list_a > set_list_list_a > $o ).
thf(func_def_78,type,
ord_le1747345782st_nat: set_list_nat > set_list_nat > $o ).
thf(func_def_79,type,
ord_le1301786372list_a: set_list_a > set_list_a > $o ).
thf(func_def_80,type,
ord_less_eq_set_nat: set_nat > set_nat > $o ).
thf(func_def_81,type,
ord_less_eq_set_a: set_a > set_a > $o ).
thf(func_def_82,type,
top_top_set_nat: set_nat ).
thf(func_def_83,type,
divide_divide_nat: nat > nat > nat ).
thf(func_def_84,type,
collect_list_a: ( list_a > $o ) > set_list_a ).
thf(func_def_85,type,
collect_nat: ( nat > $o ) > set_nat ).
thf(func_def_86,type,
collect_a: ( a > $o ) > set_a ).
thf(func_def_87,type,
member_list_list_a: list_list_a > set_list_list_a > $o ).
thf(func_def_88,type,
member_list_nat: list_nat > set_list_nat > $o ).
thf(func_def_89,type,
member_list_a: list_a > set_list_a > $o ).
thf(func_def_90,type,
member_nat: nat > set_nat > $o ).
thf(func_def_91,type,
member_a: a > set_a > $o ).
thf(func_def_92,type,
k: nat ).
thf(func_def_93,type,
m: nat ).
thf(func_def_94,type,
xs: list_a ).
thf(func_def_98,type,
vAND: $o > $o > $o ).
thf(func_def_99,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_100,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_101,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_102,type,
vNOT: $o > $o ).
thf(func_def_103,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_104,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_105,type,
vIMP: $o > $o > $o ).
thf(func_def_106,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_107,type,
vOR: $o > $o > $o ).
thf(func_def_108,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_109,type,
sP0: nat > nat > nat > $o ).
thf(func_def_110,type,
sP1: nat > nat > nat > $o ).
thf(func_def_111,type,
sK2: list_list_nat > list_list_nat > nat ).
thf(func_def_112,type,
sK3: list_list_a > list_list_list_a > set_nat > nat ).
thf(func_def_113,type,
sK4: ( nat > nat > $o ) > nat > list_nat ).
thf(func_def_114,type,
sK5: ( nat > nat > $o ) > nat > nat ).
thf(func_def_115,type,
sK6: nat > ( nat > nat > $o ) > nat ).
thf(func_def_116,type,
sK7: list_nat > ( nat > nat > $o ) > nat > nat ).
thf(func_def_117,type,
sK8: ( list_a > $o ) > list_list_a > nat ).
thf(func_def_118,type,
sK9: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_119,type,
sK10: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_120,type,
sK11: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_121,type,
sK12: set_nat > set_nat > list_nat > nat ).
thf(func_def_122,type,
sK13: list_a > set_a > set_nat > nat ).
thf(func_def_123,type,
sK14: list_list_nat > set_nat > set_list_nat > nat ).
thf(func_def_124,type,
sK15: a > set_nat > list_a > nat ).
thf(func_def_125,type,
sK16: list_list_a > list_list_list_a > set_nat > nat ).
thf(func_def_126,type,
sK17: ( nat > nat ) > nat ).
thf(func_def_127,type,
sK18: ( nat > nat ) > nat ).
thf(func_def_128,type,
sK19: ( nat > nat > $o ) > nat ).
thf(func_def_129,type,
sK20: ( nat > nat > $o ) > nat ).
thf(func_def_130,type,
sK21: ( nat > nat > $o ) > nat ).
thf(func_def_131,type,
sK22: ( nat > nat > $o ) > nat ).
thf(func_def_132,type,
sK23: ( nat > nat ) > nat ).
thf(func_def_133,type,
sK24: ( nat > nat ) > nat ).
thf(func_def_134,type,
sK25: list_nat > ( nat > $o ) > nat ).
thf(func_def_135,type,
sK26: list_nat > ( nat > $o ) > nat ).
thf(func_def_136,type,
sK27: list_nat > ( nat > $o ) > nat ).
thf(func_def_137,type,
sK28: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_138,type,
sK29: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_139,type,
sK30: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_140,type,
sK31: ( nat > nat ) > nat ).
thf(func_def_141,type,
sK32: ( nat > nat ) > nat ).
thf(func_def_142,type,
sK33: list_a > set_a > set_nat > nat ).
thf(func_def_143,type,
sK34: nat > list_list_a ).
thf(func_def_144,type,
sK35: ( nat > nat ) > nat ).
thf(func_def_145,type,
sK36: ( nat > nat ) > nat ).
thf(func_def_146,type,
sK37: ( nat > $o ) > nat > nat ).
thf(func_def_147,type,
sK38: ( nat > $o ) > nat > nat ).
thf(func_def_148,type,
sK39: list_a > ( a > $o ) > nat ).
thf(func_def_149,type,
sK40: list_list_a > ( list_a > $o ) > list_a ).
thf(func_def_150,type,
sK41: list_list_a > ( list_a > $o ) > nat ).
thf(func_def_151,type,
sK42: list_a > a > nat ).
thf(func_def_152,type,
sK43: a > list_a > nat ).
thf(func_def_153,type,
sK44: ( list_list_list_a > $o ) > list_list_list_a ).
thf(func_def_154,type,
sK45: list_list_nat > list_nat > set_nat > nat ).
thf(func_def_155,type,
sK46: list_list_list_a > list_list_list_a > nat ).
thf(func_def_156,type,
sK47: ( list_nat > $o ) > list_nat ).
thf(func_def_157,type,
sK48: ( nat > $o ) > nat ).
thf(func_def_158,type,
sK49: nat > nat ).
thf(func_def_159,type,
sK50: nat > nat ).
thf(func_def_160,type,
sK51: nat > nat > ( nat > $o ) > nat ).
thf(func_def_161,type,
sK52: nat > nat > ( nat > $o ) > nat ).
thf(func_def_162,type,
sK53: nat > ( nat > list_list_a > $o ) > list_list_a ).
thf(func_def_163,type,
sK54: list_list_list_a > ( nat > list_list_a > $o ) > nat > nat ).
thf(func_def_164,type,
sK55: ( nat > list_list_a > $o ) > nat > list_list_list_a ).
thf(func_def_165,type,
sK56: ( nat > list_list_a > $o ) > nat > nat ).
thf(func_def_166,type,
sK57: nat > nat ).
thf(func_def_167,type,
sK58: set_nat > list_list_nat > list_nat > nat ).
thf(func_def_168,type,
sK59: list_list_list_a > list_list_a > nat ).
thf(func_def_169,type,
sK60: nat > ( nat > list_a > $o ) > list_list_a ).
thf(func_def_170,type,
sK61: nat > ( nat > list_a > $o ) > nat ).
thf(func_def_171,type,
sK62: nat > ( nat > list_a > $o ) > list_a ).
thf(func_def_172,type,
sK63: list_list_a > nat > ( nat > list_a > $o ) > nat ).
thf(func_def_173,type,
sK64: nat > nat ).
thf(func_def_174,type,
sK65: nat > nat ).
thf(func_def_175,type,
sK66: nat > list_list_list_a ).
thf(func_def_176,type,
sK67: list_list_a > list_a > nat ).
thf(func_def_177,type,
sK68: nat > nat ).
thf(func_def_178,type,
sK69: ( nat > nat ) > nat ).
thf(func_def_179,type,
sK70: ( nat > nat ) > nat ).
thf(func_def_180,type,
sK71: list_a > set_nat > list_list_a > nat ).
thf(func_def_181,type,
sK72: ( nat > nat ) > nat ).
thf(func_def_182,type,
sK73: ( nat > nat ) > nat ).
thf(func_def_183,type,
sK74: set_nat > a > list_a > nat ).
thf(func_def_184,type,
sK75: nat > list_a ).
thf(func_def_185,type,
sK76: ( list_a > $o ) > list_a ).
thf(func_def_186,type,
sK77: list_list_a > list_a > set_nat > nat ).
thf(func_def_187,type,
sK78: nat > nat ).
thf(func_def_188,type,
sK79: nat > list_list_nat ).
thf(func_def_189,type,
sK80: ( nat > nat ) > nat ).
thf(func_def_190,type,
sK81: ( nat > nat ) > nat ).
thf(func_def_191,type,
sK82: set_list_a > set_nat > list_list_a > nat ).
thf(func_def_192,type,
sK83: nat > nat ).
thf(func_def_193,type,
sK84: list_nat > list_list_nat > nat ).
thf(func_def_194,type,
sK85: ( list_list_a > $o ) > list_list_a ).
thf(func_def_195,type,
sK86: nat > nat ).
thf(func_def_196,type,
sK87: list_nat > nat > nat ).
thf(func_def_197,type,
sK88: set_nat > set_nat > list_nat > nat ).
thf(func_def_198,type,
sK89: nat > list_nat ).
thf(func_def_199,type,
sK90: ( nat > nat ) > nat ).
thf(func_def_200,type,
sK91: ( nat > nat ) > nat ).
thf(func_def_201,type,
sK92: nat > nat ).
thf(func_def_202,type,
sK93: list_a > ( a > $o ) > a ).
thf(func_def_203,type,
sK94: ( nat > nat ) > nat ).
thf(func_def_204,type,
sK95: ( nat > nat ) > nat ).
thf(func_def_205,type,
sK96: set_list_a > list_list_a > set_nat > nat ).
thf(func_def_206,type,
sK97: list_list_a > ( list_a > $o ) > list_a ).
thf(func_def_207,type,
sK98: ( nat > nat ) > nat ).
thf(func_def_208,type,
sK99: ( nat > nat ) > nat ).
thf(func_def_209,type,
sK100: ( nat > $o ) > nat ).
thf(func_def_210,type,
sK101: ( nat > nat ) > nat ).
thf(func_def_211,type,
sK102: ( nat > nat ) > nat ).
thf(func_def_212,type,
sK103: nat > ( nat > list_nat > $o ) > list_nat ).
thf(func_def_213,type,
sK104: list_list_nat > ( nat > list_nat > $o ) > nat > nat ).
thf(func_def_214,type,
sK105: ( nat > list_nat > $o ) > nat > list_list_nat ).
thf(func_def_215,type,
sK106: ( nat > list_nat > $o ) > nat > nat ).
thf(func_def_216,type,
sK107: ( a > $o ) > list_a > a ).
thf(func_def_217,type,
sK108: ( a > $o ) > list_a > nat ).
thf(func_def_218,type,
sK109: ( list_list_nat > $o ) > list_list_nat ).
thf(func_def_219,type,
sK110: list_nat > list_nat > nat ).
thf(func_def_220,type,
sK111: ( nat > $o ) > list_nat > nat ).
thf(func_def_221,type,
sK112: ( nat > nat ) > nat ).
thf(func_def_222,type,
sK113: ( nat > nat ) > nat ).
thf(func_def_223,type,
sK114: ( nat > nat > $o ) > nat ).
thf(func_def_224,type,
sK115: ( nat > nat > $o ) > nat ).
thf(func_def_225,type,
sK116: ( nat > nat > $o ) > nat ).
thf(func_def_226,type,
sK117: ( nat > nat > $o ) > nat ).
thf(func_def_227,type,
sK118: ( nat > nat > $o ) > nat ).
thf(func_def_228,type,
sK119: list_list_a > list_list_a > nat ).
thf(func_def_229,type,
sK120: nat > nat ).
thf(func_def_230,type,
sK121: set_nat > nat > list_nat > nat ).
thf(func_def_231,type,
sK122: ( nat > $o ) > nat > nat ).
thf(func_def_232,type,
sK123: ( nat > $o ) > nat ).
thf(func_def_233,type,
sK124: ( nat > $o ) > nat ).
thf(func_def_234,type,
sK125: nat > nat ).
thf(func_def_235,type,
sK126: nat > list_nat > nat ).
thf(func_def_236,type,
sK127: set_nat > list_nat > nat > nat ).
thf(func_def_237,type,
sK128: nat > nat ).
thf(func_def_238,type,
sK129: list_list_a > list_a > nat ).
thf(func_def_239,type,
sK130: list_nat > set_nat > nat ).
thf(func_def_240,type,
sK131: set_nat > list_list_a > nat ).
thf(func_def_241,type,
sK132: ( nat > a > $o ) > nat > list_a ).
thf(func_def_242,type,
sK133: ( nat > a > $o ) > nat > nat ).
thf(func_def_243,type,
sK134: nat > ( nat > a > $o ) > a ).
thf(func_def_244,type,
sK135: list_a > ( nat > a > $o ) > nat > nat ).
thf(func_def_245,type,
sK136: list_a > list_a > nat ).
thf(func_def_246,type,
sK137: ( nat > nat ) > nat ).
thf(func_def_247,type,
sK138: ( nat > nat ) > nat ).
thf(func_def_248,type,
sK139: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_249,type,
sK140: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_250,type,
sK141: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_251,type,
sK142: nat > list_nat > nat ).
thf(func_def_252,type,
sK143: set_nat > list_a > nat ).
thf(func_def_253,type,
sK144: list_a > a > nat ).
thf(func_def_254,type,
sK145: list_list_a > list_a > nat ).
thf(func_def_255,type,
sK146: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_256,type,
sK147: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_257,type,
sK148: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_258,type,
sK149: set_list_list_a > set_nat > list_list_list_a > nat ).
thf(f20,axiom,
! [X1: list_a,X0: nat,X2: nat] :
( ( ord_less_nat @ X0 @ ( divide_divide_nat @ ( size_size_list_a @ X1 ) @ X2 ) )
=> ( ( nth_list_a @ ( listSl1174287072ice2_a @ X1 @ X2 ) @ X0 )
= ( nth_list_a @ ( listSl97544552lice_a @ X1 @ X2 ) @ X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_19_list__slice2__list__slice__nth) ).
thf(f31,axiom,
! [X2: nat,X1: list_a,X0: nat] :
( ( ord_less_nat @ X0 @ ( divide_divide_nat @ ( size_size_list_a @ X1 ) @ X2 ) )
=> ( ( size_size_list_a @ ( nth_list_a @ ( listSl97544552lice_a @ X1 @ X2 ) @ X0 ) )
= X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_30_list__slice__nth__length) ).
thf(f349,axiom,
ord_less_nat @ m @ ( divide_divide_nat @ ( size_size_list_a @ xs ) @ k ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f350,conjecture,
( ( size_size_list_a @ ( nth_list_a @ ( listSl1174287072ice2_a @ xs @ k ) @ m ) )
= k ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
thf(f351,negated_conjecture,
( ( size_size_list_a @ ( nth_list_a @ ( listSl1174287072ice2_a @ xs @ k ) @ m ) )
!= k ),
inference(negated_conjecture,[status(cth)],[f350]) ).
thf(f465,plain,
ord_less_nat @ m @ ( divide_divide_nat @ ( size_size_list_a @ xs ) @ k ),
inference(rectify,[],[f349]) ).
thf(f466,plain,
( ( ord_less_nat @ m @ ( divide_divide_nat @ ( size_size_list_a @ xs ) @ k ) )
= $true ),
inference(fool_elimination,[],[f465]) ).
thf(f747,plain,
! [X0: nat,X1: list_a,X2: nat] :
( ( ord_less_nat @ X2 @ ( divide_divide_nat @ ( size_size_list_a @ X1 ) @ X0 ) )
=> ( ( size_size_list_a @ ( nth_list_a @ ( listSl97544552lice_a @ X1 @ X0 ) @ X2 ) )
= X0 ) ),
inference(rectify,[],[f31]) ).
thf(f748,plain,
! [X1: list_a,X2: nat,X0: nat] :
( ( ( ord_less_nat @ X2 @ ( divide_divide_nat @ ( size_size_list_a @ X1 ) @ X0 ) )
= $true )
=> ( ( size_size_list_a @ ( nth_list_a @ ( listSl97544552lice_a @ X1 @ X0 ) @ X2 ) )
= X0 ) ),
inference(fool_elimination,[],[f747]) ).
thf(f850,plain,
! [X0: list_a,X1: nat,X2: nat] :
( ( ord_less_nat @ X1 @ ( divide_divide_nat @ ( size_size_list_a @ X0 ) @ X2 ) )
=> ( ( nth_list_a @ ( listSl1174287072ice2_a @ X0 @ X2 ) @ X1 )
= ( nth_list_a @ ( listSl97544552lice_a @ X0 @ X2 ) @ X1 ) ) ),
inference(rectify,[],[f20]) ).
thf(f851,plain,
! [X0: list_a,X1: nat,X2: nat] :
( ( ( ord_less_nat @ X1 @ ( divide_divide_nat @ ( size_size_list_a @ X0 ) @ X2 ) )
= $true )
=> ( ( nth_list_a @ ( listSl1174287072ice2_a @ X0 @ X2 ) @ X1 )
= ( nth_list_a @ ( listSl97544552lice_a @ X0 @ X2 ) @ X1 ) ) ),
inference(fool_elimination,[],[f850]) ).
thf(f1012,plain,
( k
!= ( size_size_list_a @ ( nth_list_a @ ( listSl1174287072ice2_a @ xs @ k ) @ m ) ) ),
inference(flattening,[],[f351]) ).
thf(f1093,plain,
! [X0: list_a,X2: nat,X1: nat] :
( ( ( nth_list_a @ ( listSl1174287072ice2_a @ X0 @ X2 ) @ X1 )
= ( nth_list_a @ ( listSl97544552lice_a @ X0 @ X2 ) @ X1 ) )
| ( ( ord_less_nat @ X1 @ ( divide_divide_nat @ ( size_size_list_a @ X0 ) @ X2 ) )
!= $true ) ),
inference(ennf_transformation,[],[f851]) ).
thf(f1312,plain,
! [X1: list_a,X0: nat,X2: nat] :
( ( ( ord_less_nat @ X2 @ ( divide_divide_nat @ ( size_size_list_a @ X1 ) @ X0 ) )
!= $true )
| ( ( size_size_list_a @ ( nth_list_a @ ( listSl97544552lice_a @ X1 @ X0 ) @ X2 ) )
= X0 ) ),
inference(ennf_transformation,[],[f748]) ).
thf(f1386,plain,
! [X0: list_a,X1: nat,X2: nat] :
( ( ( nth_list_a @ ( listSl97544552lice_a @ X0 @ X1 ) @ X2 )
= ( nth_list_a @ ( listSl1174287072ice2_a @ X0 @ X1 ) @ X2 ) )
| ( ( ord_less_nat @ X2 @ ( divide_divide_nat @ ( size_size_list_a @ X0 ) @ X1 ) )
!= $true ) ),
inference(rectify,[],[f1093]) ).
thf(f1560,plain,
! [X0: list_a,X1: nat,X2: nat] :
( ( ( ord_less_nat @ X2 @ ( divide_divide_nat @ ( size_size_list_a @ X0 ) @ X1 ) )
!= $true )
| ( ( size_size_list_a @ ( nth_list_a @ ( listSl97544552lice_a @ X0 @ X1 ) @ X2 ) )
= X1 ) ),
inference(rectify,[],[f1312]) ).
thf(f1735,plain,
( ( ord_less_nat @ m @ ( divide_divide_nat @ ( size_size_list_a @ xs ) @ k ) )
= $true ),
inference(cnf_transformation,[],[f466]) ).
thf(f1738,plain,
! [X2: nat,X0: list_a,X1: nat] :
( ( ( nth_list_a @ ( listSl97544552lice_a @ X0 @ X1 ) @ X2 )
= ( nth_list_a @ ( listSl1174287072ice2_a @ X0 @ X1 ) @ X2 ) )
| ( ( ord_less_nat @ X2 @ ( divide_divide_nat @ ( size_size_list_a @ X0 ) @ X1 ) )
!= $true ) ),
inference(cnf_transformation,[],[f1386]) ).
thf(f2035,plain,
! [X2: nat,X0: list_a,X1: nat] :
( ( ( size_size_list_a @ ( nth_list_a @ ( listSl97544552lice_a @ X0 @ X1 ) @ X2 ) )
= X1 )
| ( ( ord_less_nat @ X2 @ ( divide_divide_nat @ ( size_size_list_a @ X0 ) @ X1 ) )
!= $true ) ),
inference(cnf_transformation,[],[f1560]) ).
thf(f2078,plain,
( k
!= ( size_size_list_a @ ( nth_list_a @ ( listSl1174287072ice2_a @ xs @ k ) @ m ) ) ),
inference(cnf_transformation,[],[f1012]) ).
thf(f2635,definition,
( spl150_5
<=> ( ( ord_less_nat @ m @ ( divide_divide_nat @ ( size_size_list_a @ xs ) @ k ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl150_5])],[avatar_definition]) ).
thf(f2637,plain,
( ( ( ord_less_nat @ m @ ( divide_divide_nat @ ( size_size_list_a @ xs ) @ k ) )
= $true )
| ~ spl150_5 ),
inference(avatar_component_clause,[],[f2635]) ).
thf(f2638,plain,
spl150_5,
inference(avatar_split_clause,[],[f1735,f2635]) ).
thf(f2775,definition,
( spl150_33
<=> ( k
= ( size_size_list_a @ ( nth_list_a @ ( listSl1174287072ice2_a @ xs @ k ) @ m ) ) ) ),
introduced(definition,[new_symbols(definition,[spl150_33])],[avatar_definition]) ).
thf(f2777,plain,
( ( k
!= ( size_size_list_a @ ( nth_list_a @ ( listSl1174287072ice2_a @ xs @ k ) @ m ) ) )
| spl150_33 ),
inference(avatar_component_clause,[],[f2775]) ).
thf(f2778,plain,
~ spl150_33,
inference(avatar_split_clause,[],[f2078,f2775]) ).
thf(f2845,plain,
( ( k
!= ( size_size_list_a @ ( nth_list_a @ ( listSl97544552lice_a @ xs @ k ) @ m ) ) )
| ( ( ord_less_nat @ m @ ( divide_divide_nat @ ( size_size_list_a @ xs ) @ k ) )
!= $true )
| spl150_33 ),
inference(superposition,[],[f2777,f1738]) ).
thf(f2846,plain,
( ( k
!= ( size_size_list_a @ ( nth_list_a @ ( listSl97544552lice_a @ xs @ k ) @ m ) ) )
| ~ spl150_5
| spl150_33 ),
inference(forward_subsumption_resolution,[],[f2845,f2637]) ).
thf(f2848,definition,
( spl150_45
<=> ( k
= ( size_size_list_a @ ( nth_list_a @ ( listSl97544552lice_a @ xs @ k ) @ m ) ) ) ),
introduced(definition,[new_symbols(definition,[spl150_45])],[avatar_definition]) ).
thf(f2850,plain,
( ( k
!= ( size_size_list_a @ ( nth_list_a @ ( listSl97544552lice_a @ xs @ k ) @ m ) ) )
| spl150_45 ),
inference(avatar_component_clause,[],[f2848]) ).
thf(f2851,plain,
( ~ spl150_45
| ~ spl150_5
| spl150_33 ),
inference(avatar_split_clause,[],[f2846,f2775,f2635,f2848]) ).
thf(f2990,plain,
( ( ( ord_less_nat @ m @ ( divide_divide_nat @ ( size_size_list_a @ xs ) @ k ) )
!= $true )
| ( k != k )
| spl150_45 ),
inference(superposition,[],[f2850,f2035]) ).
thf(f2993,plain,
( ( ( ord_less_nat @ m @ ( divide_divide_nat @ ( size_size_list_a @ xs ) @ k ) )
!= $true )
| spl150_45 ),
inference(trivial_inequality_removal,[],[f2990]) ).
thf(f2994,plain,
( $false
| ~ spl150_5
| spl150_45 ),
inference(forward_subsumption_resolution,[],[f2993,f2637]) ).
thf(f2995,plain,
( ~ spl150_5
| spl150_45 ),
inference(avatar_contradiction_clause,[],[f2994]) ).
cnf(s5,plain,
spl150_5,
inference(sat_conversion,[],[f2638]) ).
cnf(s36,plain,
~ spl150_33,
inference(sat_conversion,[],[f2778]) ).
cnf(s49,plain,
( ~ spl150_5
| spl150_33
| ~ spl150_45 ),
inference(sat_conversion,[],[f2851]) ).
cnf(s53,plain,
( ~ spl150_5
| spl150_45 ),
inference(sat_conversion,[],[f2995]) ).
cnf(s54,plain,
spl150_45,
inference(rat,[],[s53,s5]) ).
cnf(s56,plain,
$false,
inference(rat,[],[s49,s36,s54,s5]) ).
thf(f2996,plain,
$false,
inference(avatar_sat_refutation,[],[s56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP104^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n015.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Tue Sep 29 19:57:19 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running higher-order theorem proving
% 0.22/0.27 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
% 0.54/0.41 % (4032328)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.54/0.41 % (4032339)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.54/0.41 % (4032339)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.54/0.41 % (4032339)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=1268765559:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.54/0.41 % (4032333)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1368414397:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.54/0.41 % (4032335)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1328608475:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.54/0.41 % (4032336)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=3857576032:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.54/0.41 % (4032337)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1862186461:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.54/0.41 % (4032338)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3725727871:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.54/0.41 % (4032334)lrs+10_16_si=on:nwc=1.5:random_seed=3698657470:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.54/0.41 % (4032335)Instruction limit reached!
% 0.54/0.41 % (4032335)------------------------------
% 0.54/0.41 % (4032335)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.41 % (4032335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.41 % (4032335)CaDiCaL version: 2.1.3
% 0.54/0.41 % (4032335)Termination reason: Instruction limit
% 0.54/0.41 % (4032335)Termination phase: shuffling
% 0.54/0.41 % (4032335)Time elapsed: 0.002 s
% 0.54/0.41 % (4032335)Peak memory usage: 10 MB
% 0.54/0.41 % (4032335)Instructions burned: 3 (million)
% 0.54/0.41 % (4032334)Instruction limit reached!
% 0.54/0.41 % (4032334)------------------------------
% 0.54/0.41 % (4032334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.41 % (4032334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.41 % (4032334)CaDiCaL version: 2.1.3
% 0.54/0.41 % (4032334)Termination reason: Instruction limit
% 0.54/0.41 % (4032334)Termination phase: shuffling
% 0.54/0.41 % (4032334)Time elapsed: 0.009 s
% 0.54/0.41 % (4032334)Peak memory usage: 10 MB
% 0.54/0.41 % (4032334)Instructions burned: 18 (million)
% 0.54/0.41 % (4032337)Instruction limit reached!
% 0.54/0.41 % (4032337)------------------------------
% 0.54/0.41 % (4032337)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.41 % (4032337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.41 % (4032337)CaDiCaL version: 2.1.3
% 0.54/0.41 % (4032337)Termination reason: Instruction limit
% 0.54/0.41 % (4032337)Termination phase: shuffling
% 0.54/0.41 % (4032337)Time elapsed: 0.011 s
% 0.54/0.41 % (4032337)Peak memory usage: 10 MB
% 0.54/0.41 % (4032337)Instructions burned: 24 (million)
% 0.54/0.41 % (4032347)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1487483848:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.54/0.41 % (4032347)Instruction limit reached!
% 0.54/0.41 % (4032347)------------------------------
% 0.54/0.41 % (4032347)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.41 % (4032347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.41 % (4032347)CaDiCaL version: 2.1.3
% 0.54/0.41 % (4032347)Termination reason: Instruction limit
% 0.54/0.41 % (4032347)Termination phase: shuffling
% 0.54/0.41 % (4032347)Time elapsed: 0.002 s
% 0.54/0.41 % (4032347)Peak memory usage: 10 MB
% 0.54/0.41 % (4032347)Instructions burned: 3 (million)
% 0.54/0.41 % (4032349)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.54/0.45 % (4032339)Instruction limit reached!
% 0.54/0.45 % (4032339)------------------------------
% 0.54/0.45 % (4032339)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.45 % (4032339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.45 % (4032339)CaDiCaL version: 2.1.3
% 0.54/0.45 % (4032339)Termination reason: Instruction limit
% 0.54/0.45 % (4032339)Termination phase: Saturation
% 0.54/0.45 % (4032339)Time elapsed: 0.037 s
% 0.54/0.45 % (4032339)Peak memory usage: 13 MB
% 0.54/0.45 % (4032339)Instructions burned: 160 (million)
% 0.54/0.45 % (4032348)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1077994974:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.54/0.45 % (4032349)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=85215641:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.54/0.45 % (4032348)Instruction limit reached!
% 0.54/0.45 % (4032348)------------------------------
% 0.54/0.45 % (4032348)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.45 % (4032348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.45 % (4032348)CaDiCaL version: 2.1.3
% 0.54/0.45 % (4032348)Termination reason: Instruction limit
% 0.54/0.45 % (4032348)Termination phase: shuffling
% 0.54/0.45 % (4032348)Time elapsed: 0.003 s
% 0.54/0.45 % (4032348)Peak memory usage: 10 MB
% 0.54/0.45 % (4032348)Instructions burned: 5 (million)
% 0.54/0.45 % (4032349)Instruction limit reached!
% 0.54/0.45 % (4032349)------------------------------
% 0.54/0.45 % (4032349)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.45 % (4032349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.45 % (4032349)CaDiCaL version: 2.1.3
% 0.54/0.45 % (4032349)Termination reason: Instruction limit
% 0.54/0.45 % (4032349)Termination phase: shuffling
% 0.54/0.45 % (4032349)Time elapsed: 0.004 s
% 0.54/0.45 % (4032349)Peak memory usage: 10 MB
% 0.54/0.45 % (4032349)Instructions burned: 8 (million)
% 0.54/0.45 % (4032338)Instruction limit reached!
% 0.54/0.45 % (4032338)------------------------------
% 0.54/0.45 % (4032338)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.45 % (4032338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.45 % (4032338)CaDiCaL version: 2.1.3
% 0.54/0.45 % (4032338)Termination reason: Instruction limit
% 0.54/0.45 % (4032338)Termination phase: Property scanning
% 0.54/0.45 % (4032338)Time elapsed: 0.035 s
% 0.54/0.45 % (4032338)Peak memory usage: 12 MB
% 0.54/0.45 % (4032338)Instructions burned: 76 (million)
% 0.54/0.45 % (4032352)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.54/0.45 % (4032352)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.54/0.45 % (4032333)Instruction limit reached!
% 0.54/0.45 % (4032333)------------------------------
% 0.54/0.45 % (4032333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.45 % (4032333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.45 % (4032333)CaDiCaL version: 2.1.3
% 0.54/0.45 % (4032333)Termination reason: Instruction limit
% 0.54/0.45 % (4032333)Termination phase: Property scanning
% 0.54/0.45 % (4032333)Time elapsed: 0.040 s
% 0.54/0.45 % (4032333)Peak memory usage: 12 MB
% 0.54/0.45 % (4032333)Instructions burned: 87 (million)
% 0.54/0.45 % (4032352)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1857492995:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.54/0.45 % (4032351)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2485739223:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.54/0.45 % (4032352)Instruction limit reached!
% 0.54/0.45 % (4032352)------------------------------
% 0.54/0.45 % (4032352)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.45 % (4032352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.45 % (4032352)CaDiCaL version: 2.1.3
% 0.54/0.45 % (4032352)Termination reason: Instruction limit
% 0.54/0.45 % (4032352)Termination phase: shuffling
% 0.54/0.45 % (4032352)Time elapsed: 0.007 s
% 0.54/0.45 % (4032352)Peak memory usage: 10 MB
% 0.54/0.45 % (4032352)Instructions burned: 31 (million)
% 0.54/0.45 % (4032351)Instruction limit reached!
% 0.54/0.45 % (4032351)------------------------------
% 0.54/0.45 % (4032351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.45 % (4032351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.45 % (4032351)CaDiCaL version: 2.1.3
% 0.54/0.45 % (4032351)Termination reason: Instruction limit
% 0.54/0.45 % (4032351)Termination phase: shuffling
% 0.54/0.45 % (4032351)Time elapsed: 0.006 s
% 0.54/0.45 % (4032351)Peak memory usage: 10 MB
% 0.54/0.45 % (4032351)Instructions burned: 13 (million)
% 0.54/0.45 % (4032357)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.54/0.45 % (4032355)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=1939642050:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.54/0.45 % (4032356)lrs+10_1_si=on:cs=on:random_seed=3789759888:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.54/0.45 % (4032357)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=3164251459:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.54/0.45 % (4032357)Instruction limit reached!
% 0.54/0.45 % (4032357)------------------------------
% 0.54/0.45 % (4032357)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.45 % (4032357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.45 % (4032357)CaDiCaL version: 2.1.3
% 0.54/0.45 % (4032357)Termination reason: Instruction limit
% 0.54/0.45 % (4032357)Termination phase: shuffling
% 0.54/0.45 % (4032357)Time elapsed: 0.002 s
% 0.54/0.45 % (4032357)Peak memory usage: 10 MB
% 0.54/0.45 % (4032357)Instructions burned: 3 (million)
% 0.54/0.45 % (4032361)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2385501944:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.54/0.45 % (4032356)Instruction limit reached!
% 0.54/0.45 % (4032356)------------------------------
% 0.54/0.45 % (4032356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.45 % (4032356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.45 % (4032356)CaDiCaL version: 2.1.3
% 0.54/0.45 % (4032356)Termination reason: Instruction limit
% 0.54/0.45 % (4032356)Termination phase: shuffling
% 0.54/0.45 % (4032356)Time elapsed: 0.004 s
% 0.54/0.45 % (4032356)Peak memory usage: 10 MB
% 0.54/0.45 % (4032356)Instructions burned: 8 (million)
% 0.54/0.45 % (4032359)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2101402857:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.54/0.45 % (4032362)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=623622573:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.54/0.45 % (4032366)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3720907122:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.54/0.45 % (4032359)Instruction limit reached!
% 0.54/0.45 % (4032359)------------------------------
% 0.54/0.45 % (4032359)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.45 % (4032359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.45 % (4032359)CaDiCaL version: 2.1.3
% 0.54/0.45 % (4032359)Termination reason: Instruction limit
% 0.54/0.45 % (4032359)Termination phase: Property scanning
% 0.54/0.45 % (4032359)Time elapsed: 0.017 s
% 0.54/0.45 % (4032359)Peak memory usage: 10 MB
% 0.54/0.45 % (4032359)Instructions burned: 40 (million)
% 0.54/0.45 % (4032369)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1017717247:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.54/0.45 % (4032362)Instruction limit reached!
% 0.54/0.45 % (4032362)------------------------------
% 0.54/0.45 % (4032362)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.45 % (4032362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.45 % (4032362)CaDiCaL version: 2.1.3
% 0.54/0.45 % (4032362)Termination reason: Instruction limit
% 0.54/0.45 % (4032362)Termination phase: Property scanning
% 0.54/0.45 % (4032362)Time elapsed: 0.012 s
% 0.54/0.45 % (4032362)Peak memory usage: 10 MB
% 0.54/0.45 % (4032362)Instructions burned: 27 (million)
% 0.54/0.45 % (4032366)Instruction limit reached!
% 0.54/0.45 % (4032366)------------------------------
% 0.54/0.45 % (4032366)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.45 % (4032366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.45 % (4032366)CaDiCaL version: 2.1.3
% 0.54/0.45 % (4032366)Termination reason: Instruction limit
% 0.54/0.45 % (4032366)Termination phase: shuffling
% 0.54/0.45 % (4032366)Time elapsed: 0.007 s
% 0.54/0.45 % (4032366)Peak memory usage: 10 MB
% 0.54/0.45 % (4032366)Instructions burned: 16 (million)
% 0.54/0.45 % (4032355)Instruction limit reached!
% 0.54/0.45 % (4032355)------------------------------
% 0.54/0.45 % (4032355)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.45 % (4032355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.45 % (4032355)CaDiCaL version: 2.1.3
% 0.54/0.45 % (4032355)Termination reason: Instruction limit
% 0.54/0.45 % (4032355)Termination phase: Property scanning
% 0.54/0.45 % (4032355)Time elapsed: 0.037 s
% 0.54/0.45 % (4032355)Peak memory usage: 11 MB
% 0.54/0.45 % (4032355)Instructions burned: 86 (million)
% 0.54/0.45 % (4032372)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2617326845:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.54/0.45 % (4032374)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2396183314:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.54/0.45 % (4032372)Instruction limit reached!
% 0.54/0.45 % (4032372)------------------------------
% 0.54/0.45 % (4032372)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.45 % (4032372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.45 % (4032372)CaDiCaL version: 2.1.3
% 0.54/0.45 % (4032372)Termination reason: Instruction limit
% 0.54/0.45 % (4032372)Termination phase: shuffling
% 0.54/0.45 % (4032372)Time elapsed: 0.006 s
% 0.54/0.45 % (4032372)Peak memory usage: 10 MB
% 0.54/0.45 % (4032372)Instructions burned: 14 (million)
% 0.54/0.45 % (4032375)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3125596660:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.54/0.45 % (4032374)Instruction limit reached!
% 0.54/0.45 % (4032374)------------------------------
% 0.54/0.45 % (4032374)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.45 % (4032374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.45 % (4032374)CaDiCaL version: 2.1.3
% 0.54/0.45 % (4032374)Termination reason: Instruction limit
% 0.54/0.45 % (4032374)Termination phase: shuffling
% 0.54/0.45 % (4032374)Time elapsed: 0.003 s
% 0.54/0.45 % (4032374)Peak memory usage: 10 MB
% 0.54/0.45 % (4032374)Instructions burned: 6 (million)
% 0.54/0.45 % (4032376)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1494914034:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.54/0.45 % (4032336) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4032328-4032336"...
% 0.54/0.45 % (4032336)...printing done.
% 0.54/0.45 % (4032375)Instruction limit reached!
% 0.54/0.45 % (4032375)------------------------------
% 0.54/0.45 % (4032375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.45 % (4032375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.45 % (4032375)CaDiCaL version: 2.1.3
% 0.54/0.45 % (4032375)Termination reason: Instruction limit
% 0.54/0.45 % (4032375)Termination phase: shuffling
% 0.54/0.45 % (4032375)Time elapsed: 0.013 s
% 0.54/0.45 % (4032375)Peak memory usage: 10 MB
% 0.54/0.45 % (4032375)Instructions burned: 26 (million)
% 0.54/0.45 % (4032336)Refutation found. Thanks to Tanya!
% 0.54/0.45 % SZS status Theorem for theBenchmark
% 0.54/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.54/0.45 % (4032336)------------------------------
% 0.54/0.45 % (4032336)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.45 % (4032336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.45 % (4032336)CaDiCaL version: 2.1.3
% 0.54/0.45 % (4032336)Termination reason: Refutation
% 0.54/0.45 % (4032336)Time elapsed: 0.115 s
% 0.54/0.45 % (4032336)Peak memory usage: 15 MB
% 0.54/0.45 % (4032336)Instructions burned: 237 (million)
% 0.54/0.45 % (4032328)Success in time 0.168 s
% 0.54/0.45 % Vampire exiting
%------------------------------------------------------------------------------