%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP101^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:10:41 AM UTC 2026
% Result : Theorem 0.45s 0.36s
% Output : Refutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 4
% Syntax : Number of formulae : 41 ( 21 unt; 0 typ; 0 def)
% Number of atoms : 221 ( 106 equ; 0 cnn)
% Maximal formula atoms : 10 ( 5 avg)
% Number of connectives : 512 ( 42 ~; 23 |; 15 &; 386 @)
% ( 0 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Number of types : 7 ( 6 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 512 ( 508 usr; 7 con; 0-5 aty)
% ( 8 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 48 ( 26 ^; 22 !; 0 ?; 48 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
list_nat: $tType ).
thf(type_def_6,type,
set_nat: $tType ).
thf(type_def_7,type,
list_a: $tType ).
thf(type_def_8,type,
set_a: $tType ).
thf(type_def_9,type,
nat: $tType ).
thf(type_def_10,type,
a: $tType ).
thf(type_def_11,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
minus_minus_nat: nat > nat > nat ).
thf(func_def_1,type,
one_one_nat: nat ).
thf(func_def_2,type,
if_nat: $o > nat > nat > nat ).
thf(func_def_3,type,
if_a: $o > a > a > a ).
thf(func_def_4,type,
list_asc_nat: list_nat > $o ).
thf(func_def_5,type,
list_desc_nat: list_nat > $o ).
thf(func_def_6,type,
list_strict_asc_nat: list_nat > $o ).
thf(func_def_7,type,
list_strict_desc_nat: list_nat > $o ).
thf(func_def_8,type,
listIn923761578nd_nat: list_nat > ( nat > nat ) > nat > nat ).
thf(func_def_9,type,
listIn1312259492pend_a: list_a > ( nat > a ) > nat > a ).
thf(func_def_10,type,
append_nat: list_nat > list_nat > list_nat ).
thf(func_def_11,type,
append_a: list_a > list_a > list_a ).
thf(func_def_12,type,
butlast_nat: list_nat > list_nat ).
thf(func_def_13,type,
butlast_a: list_a > list_a ).
thf(func_def_14,type,
set_nat2: list_nat > set_nat ).
thf(func_def_15,type,
set_a2: list_a > set_a ).
thf(func_def_16,type,
list_ex_nat: ( nat > $o ) > list_nat > $o ).
thf(func_def_17,type,
list_ex_a: ( a > $o ) > list_a > $o ).
thf(func_def_18,type,
list_update_nat: list_nat > nat > nat > list_nat ).
thf(func_def_19,type,
list_update_a: list_a > nat > a > list_a ).
thf(func_def_20,type,
nth_nat: list_nat > nat > nat ).
thf(func_def_21,type,
nth_a: list_a > nat > a ).
thf(func_def_22,type,
size_size_list_nat: list_nat > nat ).
thf(func_def_23,type,
size_size_list_a: list_a > nat ).
thf(func_def_24,type,
ord_less_nat: nat > nat > $o ).
thf(func_def_25,type,
ord_less_eq_nat: nat > nat > $o ).
thf(func_def_26,type,
ord_less_eq_set_a: set_a > set_a > $o ).
thf(func_def_27,type,
collect_a: ( a > $o ) > set_a ).
thf(func_def_28,type,
member_nat: nat > set_nat > $o ).
thf(func_def_29,type,
member_a: a > set_a > $o ).
thf(func_def_30,type,
f: nat > a ).
thf(func_def_31,type,
g: nat > a ).
thf(func_def_32,type,
x: nat ).
thf(func_def_33,type,
xs: list_a ).
thf(func_def_34,type,
ys: list_a ).
thf(func_def_38,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_39,type,
vIMP: $o > $o > $o ).
thf(func_def_40,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_41,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_42,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_43,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_44,type,
vAND: $o > $o > $o ).
thf(func_def_45,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_46,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_47,type,
vNOT: $o > $o ).
thf(func_def_48,type,
vOR: $o > $o > $o ).
thf(func_def_49,type,
sP0: nat > nat > nat > $o ).
thf(func_def_50,type,
sP1: nat > nat > nat > $o ).
thf(func_def_51,type,
sP2: nat > nat > nat > $o ).
thf(func_def_52,type,
sK3: list_nat > list_nat > nat ).
thf(func_def_53,type,
sK4: list_a > list_a > nat ).
thf(func_def_54,type,
sK5: ( nat > $o ) > nat ).
thf(func_def_55,type,
sK6: ( nat > $o ) > nat ).
thf(func_def_56,type,
sK7: nat > list_nat ).
thf(func_def_57,type,
sK8: nat > list_a ).
thf(func_def_58,type,
sK9: ( list_nat > $o ) > list_nat ).
thf(func_def_59,type,
sK10: ( list_a > $o ) > list_a ).
thf(func_def_60,type,
sK11: ( nat > $o ) > nat ).
thf(func_def_61,type,
sK12: nat > ( nat > $o ) > nat ).
thf(func_def_62,type,
sK13: ( nat > nat ) > nat ).
thf(func_def_63,type,
sK14: ( nat > nat ) > nat ).
thf(func_def_64,type,
sK15: ( nat > $o ) > nat > nat ).
thf(func_def_65,type,
sK16: ( nat > $o ) > nat > nat ).
thf(func_def_66,type,
sK17: nat > nat ).
thf(func_def_67,type,
sK18: ( nat > nat ) > nat ).
thf(func_def_68,type,
sK19: ( nat > nat ) > nat ).
thf(func_def_69,type,
sK20: ( nat > nat ) > nat ).
thf(func_def_70,type,
sK21: ( nat > nat ) > nat ).
thf(func_def_71,type,
sK22: ( nat > nat ) > nat ).
thf(func_def_72,type,
sK23: ( nat > nat ) > nat ).
thf(func_def_73,type,
sK24: ( nat > nat ) > nat ).
thf(func_def_74,type,
sK25: ( nat > nat ) > nat ).
thf(func_def_75,type,
sK26: ( nat > nat > $o ) > nat ).
thf(func_def_76,type,
sK27: ( nat > nat > $o ) > nat ).
thf(func_def_77,type,
sK28: ( nat > nat > $o ) > nat ).
thf(func_def_78,type,
sK29: ( nat > nat > $o ) > nat ).
thf(func_def_79,type,
sK30: ( nat > nat > $o ) > nat ).
thf(func_def_80,type,
sK31: ( nat > nat > $o ) > nat ).
thf(func_def_81,type,
sK32: ( nat > nat > $o ) > nat ).
thf(func_def_82,type,
sK33: ( nat > nat > $o ) > nat ).
thf(func_def_83,type,
sK34: ( nat > nat > $o ) > nat ).
thf(func_def_84,type,
sK35: ( nat > $o ) > nat ).
thf(func_def_85,type,
sK36: nat > nat ).
thf(func_def_86,type,
sK37: ( nat > nat ) > nat ).
thf(func_def_87,type,
sK38: ( nat > nat ) > nat ).
thf(func_def_88,type,
sK39: ( nat > nat ) > nat ).
thf(func_def_89,type,
sK40: ( nat > nat ) > nat ).
thf(func_def_90,type,
sK41: ( nat > nat ) > nat ).
thf(func_def_91,type,
sK42: ( nat > nat ) > nat ).
thf(func_def_92,type,
sK43: ( nat > nat ) > nat ).
thf(func_def_93,type,
sK44: ( nat > nat ) > nat ).
thf(func_def_94,type,
sK45: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_95,type,
sK46: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_96,type,
sK47: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_97,type,
sK48: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_98,type,
sK49: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_99,type,
sK50: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_100,type,
sK51: nat > nat ).
thf(func_def_101,type,
sK52: nat > nat ).
thf(func_def_102,type,
sK53: nat > nat ).
thf(func_def_103,type,
sK54: nat > nat ).
thf(func_def_104,type,
sK55: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_105,type,
sK56: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_106,type,
sK57: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_107,type,
sK58: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_108,type,
sK59: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_109,type,
sK60: nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_110,type,
sK61: nat > nat ).
thf(func_def_111,type,
sK62: nat > nat ).
thf(func_def_112,type,
sK63: nat > nat ).
thf(func_def_113,type,
sK64: nat > nat ).
thf(func_def_114,type,
sK65: ( nat > nat ) > nat ).
thf(func_def_115,type,
sK66: ( nat > nat ) > nat ).
thf(func_def_116,type,
sK67: ( nat > nat ) > nat ).
thf(func_def_117,type,
sK68: ( nat > nat ) > nat ).
thf(func_def_118,type,
sK69: ( nat > nat ) > nat ).
thf(func_def_119,type,
sK70: ( nat > nat ) > nat ).
thf(func_def_120,type,
sK71: ( nat > nat ) > nat ).
thf(func_def_121,type,
sK72: ( nat > nat ) > nat ).
thf(func_def_122,type,
sK73: nat > nat ).
thf(func_def_123,type,
sK74: nat > nat ).
thf(func_def_124,type,
sK75: nat > nat ).
thf(func_def_125,type,
sK76: ( nat > $o ) > nat > nat > nat ).
thf(func_def_126,type,
sK77: nat > ( nat > $o ) > nat > nat ).
thf(func_def_127,type,
sK78: ( a > $o ) > ( a > $o ) > list_a > a ).
thf(func_def_128,type,
sK79: ( nat > $o ) > list_nat > nat ).
thf(func_def_129,type,
sK80: ( a > $o ) > list_a > a ).
thf(func_def_130,type,
sK81: ( nat > $o ) > list_nat > nat ).
thf(func_def_131,type,
sK82: ( a > $o ) > list_a > nat ).
thf(func_def_132,type,
sK83: nat > nat ).
thf(func_def_133,type,
sK84: ( a > $o ) > list_a > a ).
thf(func_def_134,type,
sK85: list_a > nat > nat ).
thf(func_def_135,type,
sK86: list_a > nat > nat ).
thf(func_def_136,type,
sK87: ( a > $o ) > list_a > nat ).
thf(func_def_137,type,
sK88: ( nat > $o ) > list_nat > nat ).
thf(func_def_138,type,
sK89: list_nat > nat > nat ).
thf(func_def_139,type,
sK90: list_nat > nat > nat ).
thf(func_def_140,type,
sK91: ( nat > $o ) > list_nat > nat ).
thf(func_def_141,type,
sK92: list_a > a > nat ).
thf(func_def_142,type,
sK93: list_a > nat > nat ).
thf(func_def_143,type,
sK94: list_nat > nat > nat ).
thf(func_def_144,type,
sK95: list_nat > nat > nat ).
thf(func_def_145,type,
sK96: list_a > nat > nat ).
thf(func_def_146,type,
sK97: list_a > nat > nat ).
thf(func_def_147,type,
sK98: list_nat > nat > nat ).
thf(func_def_148,type,
sK99: list_nat > nat > nat ).
thf(func_def_149,type,
sK100: list_a > nat > nat ).
thf(func_def_150,type,
sK101: list_nat > nat > nat ).
thf(func_def_151,type,
sK102: list_a > ( a > $o ) > nat ).
thf(func_def_152,type,
sK103: list_a > nat > nat ).
thf(func_def_153,type,
sK104: list_a > nat > nat ).
thf(func_def_154,type,
sK105: ( a > $o ) > list_a > nat ).
thf(func_def_155,type,
sK106: list_a > nat > nat ).
thf(func_def_156,type,
sK107: list_a > nat > nat ).
thf(func_def_157,type,
sK108: list_a > ( a > $o ) > nat ).
thf(func_def_158,type,
sK109: list_a > nat > nat ).
thf(func_def_159,type,
sK110: list_a > nat > nat ).
thf(func_def_160,type,
sK111: list_a > ( a > $o ) > nat ).
thf(func_def_161,type,
sK112: list_a > nat > nat ).
thf(func_def_162,type,
sK113: list_a > nat > nat ).
thf(func_def_163,type,
sK114: ( a > $o ) > list_a > nat ).
thf(func_def_164,type,
sK115: list_a > nat > nat ).
thf(func_def_165,type,
sK116: list_a > nat > nat ).
thf(func_def_166,type,
sK117: ( a > $o ) > list_a > nat ).
thf(func_def_167,type,
sK118: list_a > nat > nat ).
thf(func_def_168,type,
sK119: list_a > nat > nat ).
thf(func_def_169,type,
sK120: set_a > list_a > a ).
thf(func_def_170,type,
sK121: list_a > nat > nat ).
thf(func_def_171,type,
sK122: list_a > nat > nat ).
thf(func_def_172,type,
sK123: list_nat > nat > nat ).
thf(func_def_173,type,
sK124: list_nat > nat > nat ).
thf(func_def_174,type,
sK125: nat > nat > nat ).
thf(func_def_175,type,
sK126: nat > nat > nat ).
thf(func_def_176,type,
sK127: nat > nat > nat ).
thf(func_def_177,type,
sK128: nat > nat > ( nat > $o ) > nat > nat ).
thf(func_def_178,type,
sK129: nat > nat > nat ).
thf(func_def_179,type,
sK130: nat > nat > nat ).
thf(func_def_180,type,
sK131: nat > nat > nat ).
thf(func_def_181,type,
sK132: nat > nat > nat ).
thf(func_def_182,type,
sK133: nat > nat > nat ).
thf(func_def_183,type,
sK134: nat > nat > nat ).
thf(func_def_184,type,
sK135: nat > nat > nat ).
thf(func_def_185,type,
sK136: nat > nat > nat ).
thf(func_def_186,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_187,type,
sK137: nat > nat > nat ).
thf(func_def_188,type,
sK138: ( nat > nat ) > nat ).
thf(func_def_189,type,
sK139: nat > nat > nat ).
thf(func_def_190,type,
sK140: nat > nat > ( nat > nat ) > nat ).
thf(func_def_191,type,
sK141: nat > nat > ( nat > nat ) > nat ).
thf(func_def_192,type,
sK142: ( nat > nat ) > nat > nat > nat ).
thf(func_def_193,type,
sK143: ( nat > nat ) > nat > nat > nat ).
thf(func_def_194,type,
sK144: nat > nat > nat ).
thf(func_def_195,type,
sK145: ( nat > nat ) > nat ).
thf(func_def_196,type,
sK146: nat > nat > nat ).
thf(func_def_197,type,
sK147: nat > nat > nat ).
thf(func_def_198,type,
sK148: nat > nat > nat ).
thf(func_def_199,type,
sK149: nat > nat > nat ).
thf(func_def_200,type,
sK150: nat > nat > nat ).
thf(func_def_201,type,
sK151: nat > nat > nat ).
thf(func_def_202,type,
sK152: nat > nat > nat ).
thf(func_def_203,type,
sK153: nat > nat > nat ).
thf(func_def_204,type,
sK154: nat > nat > nat ).
thf(func_def_205,type,
sK155: nat > nat > nat ).
thf(func_def_206,type,
sK156: nat > nat > nat ).
thf(func_def_207,type,
sK157: nat > nat > nat ).
thf(func_def_208,type,
sK158: nat > nat > nat ).
thf(func_def_209,type,
sK159: list_nat > nat ).
thf(func_def_210,type,
sK160: nat > list_nat > nat ).
thf(func_def_211,type,
sK161: list_nat > nat ).
thf(func_def_212,type,
sK162: list_nat > nat ).
thf(func_def_213,type,
sK163: list_nat > nat ).
thf(func_def_214,type,
sK164: list_nat > nat ).
thf(func_def_215,type,
sK165: nat > list_nat > nat ).
thf(func_def_216,type,
sK166: list_nat > nat ).
thf(func_def_217,type,
sK167: list_nat > nat ).
thf(func_def_218,type,
sK168: list_nat > nat ).
thf(func_def_219,type,
sK169: nat > nat > nat ).
thf(func_def_220,type,
sK170: nat > nat > nat ).
thf(func_def_221,type,
sK171: nat > nat > nat ).
thf(func_def_222,type,
sK172: nat > nat ).
thf(func_def_223,type,
sK173: nat > nat ).
thf(func_def_224,type,
sK174: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_225,type,
sK175: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_226,type,
sK176: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_227,type,
sK177: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_228,type,
sK178: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_229,type,
sK179: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_230,type,
sK180: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_231,type,
sK181: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_232,type,
sK182: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_233,type,
sK183: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_234,type,
sK184: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_235,type,
sK185: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_236,type,
sK186: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_237,type,
sK187: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_238,type,
sK188: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_239,type,
sK189: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_240,type,
sK190: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_241,type,
sK191: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_242,type,
sK192: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_243,type,
sK193: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_244,type,
sK194: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_245,type,
sK195: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_246,type,
sK196: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_247,type,
sK197: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_248,type,
sK198: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_249,type,
sK199: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_250,type,
sK200: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_251,type,
sK201: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_252,type,
sK202: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_253,type,
sK203: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_254,type,
sK204: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_255,type,
sK205: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_256,type,
sK206: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_257,type,
sK207: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_258,type,
sK208: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_259,type,
sK209: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_260,type,
sK210: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_261,type,
sK211: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_262,type,
sK212: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_263,type,
sK213: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_264,type,
sK214: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_265,type,
sK215: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_266,type,
sK216: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_267,type,
sK217: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_268,type,
sK218: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_269,type,
sK219: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_270,type,
sK220: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_271,type,
sK221: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_272,type,
sK222: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_273,type,
sK223: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_274,type,
sK224: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_275,type,
sK225: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_276,type,
sK226: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_277,type,
sK227: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_278,type,
sK228: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_279,type,
sK229: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_280,type,
sK230: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_281,type,
sK231: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_282,type,
sK232: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_283,type,
sK233: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_284,type,
sK234: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_285,type,
sK235: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_286,type,
sK236: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_287,type,
sK237: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_288,type,
sK238: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_289,type,
sK239: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_290,type,
sK240: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_291,type,
sK241: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_292,type,
sK242: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_293,type,
sK243: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_294,type,
sK244: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_295,type,
sK245: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat > nat ).
thf(func_def_296,type,
sK246: nat > nat > nat ).
thf(func_def_297,type,
sK247: nat > nat > nat ).
thf(func_def_298,type,
sK248: nat > nat > nat ).
thf(func_def_299,type,
sK249: nat > nat ).
thf(func_def_300,type,
sK250: nat > nat ).
thf(func_def_301,type,
sK251: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_302,type,
sK252: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_303,type,
sK253: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_304,type,
sK254: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_305,type,
sK255: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_306,type,
sK256: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_307,type,
sK257: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_308,type,
sK258: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_309,type,
sK259: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_310,type,
sK260: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_311,type,
sK261: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_312,type,
sK262: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_313,type,
sK263: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_314,type,
sK264: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_315,type,
sK265: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_316,type,
sK266: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_317,type,
sK267: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_318,type,
sK268: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_319,type,
sK269: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_320,type,
sK270: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_321,type,
sK271: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_322,type,
sK272: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_323,type,
sK273: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_324,type,
sK274: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_325,type,
sK275: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_326,type,
sK276: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_327,type,
sK277: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_328,type,
sK278: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_329,type,
sK279: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_330,type,
sK280: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_331,type,
sK281: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_332,type,
sK282: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_333,type,
sK283: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_334,type,
sK284: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_335,type,
sK285: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_336,type,
sK286: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_337,type,
sK287: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_338,type,
sK288: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_339,type,
sK289: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_340,type,
sK290: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_341,type,
sK291: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_342,type,
sK292: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_343,type,
sK293: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_344,type,
sK294: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_345,type,
sK295: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_346,type,
sK296: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_347,type,
sK297: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_348,type,
sK298: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_349,type,
sK299: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_350,type,
sK300: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_351,type,
sK301: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_352,type,
sK302: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_353,type,
sK303: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_354,type,
sK304: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_355,type,
sK305: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_356,type,
sK306: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_357,type,
sK307: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_358,type,
sK308: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_359,type,
sK309: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_360,type,
sK310: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_361,type,
sK311: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_362,type,
sK312: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_363,type,
sK313: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_364,type,
sK314: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_365,type,
sK315: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_366,type,
sK316: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_367,type,
sK317: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_368,type,
sK318: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_369,type,
sK319: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_370,type,
sK320: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_371,type,
sK321: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_372,type,
sK322: ( nat > $o ) > ( nat > $o ) > nat > ( nat > $o ) > ( nat > $o ) > nat ).
thf(func_def_373,type,
sK323: nat > nat > nat ).
thf(func_def_374,type,
sK324: ( nat > nat ) > nat ).
thf(func_def_375,type,
sK325: nat > nat > nat ).
thf(func_def_376,type,
sK326: nat > nat > nat ).
thf(func_def_377,type,
sK327: ( nat > nat ) > nat ).
thf(func_def_378,type,
sK328: nat > nat > nat ).
thf(func_def_379,type,
sK329: nat > nat > nat ).
thf(func_def_380,type,
sK330: ( nat > nat ) > nat > nat > nat ).
thf(func_def_381,type,
sK331: ( nat > nat ) > nat ).
thf(func_def_382,type,
sK332: nat > nat > nat ).
thf(func_def_383,type,
sK333: ( nat > nat ) > nat > nat > nat ).
thf(func_def_384,type,
sK334: nat > ( nat > nat ) > nat > nat ).
thf(func_def_385,type,
sK335: nat > nat > nat ).
thf(func_def_386,type,
sK336: ( nat > nat ) > nat ).
thf(func_def_387,type,
sK337: nat > ( nat > nat ) > nat > nat ).
thf(func_def_388,type,
sK338: nat > nat > nat ).
thf(func_def_389,type,
sK339: nat > nat > nat ).
thf(func_def_390,type,
sK340: nat > nat > nat ).
thf(func_def_391,type,
sK341: nat > nat > nat ).
thf(func_def_392,type,
sK342: nat > nat > nat ).
thf(func_def_393,type,
sK343: nat > nat ).
thf(func_def_394,type,
sK344: nat > nat > nat ).
thf(func_def_395,type,
sK345: nat > nat > nat ).
thf(func_def_396,type,
sK346: nat > nat > nat ).
thf(func_def_397,type,
sK347: nat > nat > nat ).
thf(func_def_398,type,
sK348: nat > nat > nat ).
thf(func_def_399,type,
sK349: nat > nat > nat ).
thf(func_def_400,type,
sK350: nat > nat ).
thf(func_def_401,type,
sK351: nat > nat > nat ).
thf(func_def_402,type,
sK352: nat > nat > nat ).
thf(func_def_403,type,
sK353: nat > nat ).
thf(func_def_404,type,
sK354: nat > nat > nat ).
thf(func_def_405,type,
sK355: nat > nat > nat ).
thf(func_def_406,type,
sK356: nat > ( nat > $o ) > nat ).
thf(func_def_407,type,
sK357: nat > nat > nat ).
thf(func_def_408,type,
sK358: nat > nat ).
thf(func_def_409,type,
sK359: nat > nat > nat ).
thf(func_def_410,type,
sK360: nat > nat > nat ).
thf(func_def_411,type,
sK361: nat > nat ).
thf(func_def_412,type,
sK362: nat > nat > nat ).
thf(func_def_413,type,
sK363: nat > nat > nat ).
thf(func_def_414,type,
sK364: nat > nat > nat ).
thf(func_def_415,type,
sK365: nat > nat > nat ).
thf(func_def_416,type,
sK366: nat > nat > nat ).
thf(func_def_417,type,
sK367: nat > nat > nat ).
thf(func_def_418,type,
sK368: nat > nat > nat ).
thf(func_def_419,type,
sK369: nat > nat > nat ).
thf(func_def_420,type,
sK370: nat > nat > nat ).
thf(func_def_421,type,
sK371: nat > nat ).
thf(func_def_422,type,
sK372: nat > nat ).
thf(func_def_423,type,
sK373: nat > nat > nat ).
thf(func_def_424,type,
sK374: ( nat > $o ) > nat > nat > nat ).
thf(func_def_425,type,
sK375: ( nat > $o ) > nat > nat > nat ).
thf(func_def_426,type,
sK376: list_a > nat > nat ).
thf(func_def_427,type,
sK377: list_a > nat > nat ).
thf(func_def_428,type,
sK378: list_nat > nat > nat ).
thf(func_def_429,type,
sK379: list_nat > nat > nat ).
thf(func_def_430,type,
sK380: list_a > nat > nat ).
thf(func_def_431,type,
sK381: list_a > nat > nat ).
thf(func_def_432,type,
sK382: list_nat > nat > nat ).
thf(func_def_433,type,
sK383: list_nat > nat > nat ).
thf(func_def_434,type,
sK384: nat > nat > nat ).
thf(func_def_435,type,
sK385: nat > nat > nat ).
thf(func_def_436,type,
sK386: nat > nat > nat > nat ).
thf(func_def_437,type,
sK387: nat > nat > nat ).
thf(func_def_438,type,
sK388: nat > nat > nat ).
thf(func_def_439,type,
sK389: nat > nat > nat > nat ).
thf(func_def_440,type,
sK390: list_a > nat > nat ).
thf(func_def_441,type,
sK391: list_nat > nat > nat ).
thf(func_def_442,type,
sK392: list_a > nat > nat ).
thf(func_def_443,type,
sK393: list_nat > nat > nat ).
thf(func_def_444,type,
sK394: ( nat > nat ) > nat ).
thf(func_def_445,type,
sK395: nat > nat > nat ).
thf(func_def_446,type,
sK396: nat > nat > nat ).
thf(func_def_447,type,
sK397: list_a > nat > nat ).
thf(func_def_448,type,
sK398: list_nat > nat > nat ).
thf(func_def_449,type,
sK399: nat > list_nat > nat ).
thf(func_def_450,type,
sK400: list_nat > nat ).
thf(func_def_451,type,
sK401: list_nat > nat ).
thf(func_def_452,type,
sK402: list_nat > nat ).
thf(func_def_453,type,
sK403: list_nat > nat ).
thf(func_def_454,type,
sK404: list_nat > nat ).
thf(func_def_455,type,
sK405: list_a > list_a > list_a > list_a > list_a ).
thf(func_def_456,type,
sK406: list_a > ( a > $o ) > nat ).
thf(func_def_457,type,
sK407: list_a > ( a > $o ) > nat ).
thf(func_def_458,type,
sK408: list_a > nat > list_a > nat ).
thf(func_def_459,type,
sK409: list_a > nat > list_a > nat ).
thf(func_def_460,type,
sK410: list_a > nat > list_a > nat ).
thf(func_def_461,type,
sK411: list_a > nat > list_a > nat ).
thf(func_def_462,type,
sK412: list_a > ( a > $o ) > list_a > nat ).
thf(func_def_463,type,
sK413: list_a > nat > nat ).
thf(func_def_464,type,
sK414: list_a > nat > nat ).
thf(func_def_465,type,
sK415: list_a > ( a > $o ) > list_a > nat ).
thf(func_def_466,type,
sK416: list_a > nat > nat ).
thf(func_def_467,type,
sK417: list_a > nat > nat ).
thf(func_def_468,type,
sK418: list_a > nat > nat ).
thf(func_def_469,type,
sK419: list_nat > nat > nat ).
thf(func_def_470,type,
sK420: list_a > nat > nat ).
thf(func_def_471,type,
sK421: list_nat > nat > nat ).
thf(func_def_472,type,
sK422: list_a > nat > nat ).
thf(func_def_473,type,
sK423: list_nat > nat > nat ).
thf(func_def_474,type,
sK424: nat > nat > nat ).
thf(func_def_475,type,
sK425: nat > nat > nat > nat ).
thf(func_def_476,type,
sK426: list_a > ( list_a > $o ) > nat ).
thf(func_def_477,type,
sK427: list_nat > ( list_nat > $o ) > nat ).
thf(func_def_478,type,
sK428: nat > nat > nat ).
thf(func_def_479,type,
sK429: nat > nat > nat ).
thf(func_def_480,type,
sK430: nat > nat ).
thf(func_def_481,type,
sK431: nat > nat ).
thf(func_def_482,type,
sK432: nat > nat ).
thf(func_def_483,type,
sK433: nat > nat ).
thf(func_def_484,type,
sK434: nat > ( nat > $o ) > nat ).
thf(func_def_485,type,
sK435: nat > ( nat > $o ) > nat ).
thf(func_def_486,type,
sK436: nat > nat > nat ).
thf(func_def_487,type,
sK437: nat > nat > nat > nat ).
thf(func_def_488,type,
sK438: nat > nat > nat ).
thf(func_def_489,type,
sK439: nat > nat > nat ).
thf(func_def_490,type,
sK440: nat > nat > nat > nat ).
thf(func_def_491,type,
sK441: nat > nat > nat ).
thf(func_def_492,type,
sK442: nat > nat > nat ).
thf(func_def_493,type,
sK443: nat > nat > nat ).
thf(func_def_494,type,
sK444: list_a > nat > nat ).
thf(func_def_495,type,
sK445: list_nat > nat > nat ).
thf(func_def_496,type,
sK446: ( nat > a > $o ) > nat > nat ).
thf(func_def_497,type,
sK447: ( nat > a > $o ) > nat > list_a ).
thf(func_def_498,type,
sK448: nat > nat > nat ).
thf(func_def_499,type,
sK449: nat > nat > nat ).
thf(func_def_500,type,
sK450: nat > nat > nat ).
thf(func_def_501,type,
sK451: ( nat > a > $o ) > list_a > nat > nat ).
thf(func_def_502,type,
sK452: ( nat > a > $o ) > nat > a ).
thf(func_def_503,type,
sK453: ( nat > nat > $o ) > nat > nat ).
thf(func_def_504,type,
sK454: ( nat > nat > $o ) > nat > list_nat ).
thf(func_def_505,type,
sK455: nat > nat > nat ).
thf(func_def_506,type,
sK456: nat > nat > nat ).
thf(func_def_507,type,
sK457: nat > nat > nat ).
thf(func_def_508,type,
sK458: ( nat > nat > $o ) > list_nat > nat > nat ).
thf(func_def_509,type,
sK459: ( nat > nat > $o ) > nat > nat ).
thf(f87,axiom,
( ord_less_nat
= ( ^ [X0: nat,X1: nat] :
! [X2: nat] :
( ( ord_less_eq_nat @ X1 @ X2 )
=> ( X0 != X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_86_less__ge__neq__conv) ).
thf(f265,axiom,
! [X0: nat] :
( ( ~ ( ord_less_nat @ X0 @ ( size_size_list_a @ ys ) )
=> ( ( ~ ( ord_less_nat @ X0 @ ( size_size_list_a @ ys ) )
=> ( ( f @ ( minus_minus_nat @ X0 @ ( size_size_list_a @ xs ) ) )
= ( g @ ( minus_minus_nat @ X0 @ ( size_size_list_a @ ys ) ) ) ) )
& ( ( ord_less_nat @ X0 @ ( size_size_list_a @ ys ) )
=> ( ( nth_a @ xs @ X0 )
= ( g @ ( minus_minus_nat @ X0 @ ( size_size_list_a @ ys ) ) ) ) ) ) )
& ( ( ord_less_nat @ X0 @ ( size_size_list_a @ ys ) )
=> ( ( ~ ( ord_less_nat @ X0 @ ( size_size_list_a @ ys ) )
=> ( ( f @ ( minus_minus_nat @ X0 @ ( size_size_list_a @ xs ) ) )
= ( nth_a @ ys @ X0 ) ) )
& ( ( ord_less_nat @ X0 @ ( size_size_list_a @ ys ) )
=> ( ( nth_a @ xs @ X0 )
= ( nth_a @ ys @ X0 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
thf(f266,axiom,
ord_less_nat @ x @ ( size_size_list_a @ ys ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_2) ).
thf(f267,conjecture,
( ( nth_a @ xs @ x )
= ( nth_a @ ys @ x ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_3) ).
thf(f268,negated_conjecture,
( ( nth_a @ xs @ x )
!= ( nth_a @ ys @ x ) ),
inference(negated_conjecture,[status(cth)],[f267]) ).
thf(f390,plain,
( ord_less_nat
= ( ^ [X0: nat,X1: nat] :
! [X2: nat] :
( ( ord_less_eq_nat @ X1 @ X2 )
=> ( X0 != X2 ) ) ) ),
inference(rectify,[],[f87]) ).
thf(f391,plain,
( ord_less_nat
= ( ^ [Y0: nat,Y1: nat] :
( !! @ nat
@ ^ [Y2: nat] :
( ( ord_less_eq_nat @ Y1 @ Y2 )
=> ( Y0 != Y2 ) ) ) ) ),
inference(fool_elimination,[],[f390]) ).
thf(f732,plain,
! [X0: nat] :
( ( ~ ( ord_less_nat @ X0 @ ( size_size_list_a @ ys ) )
=> ( ( ~ ( ord_less_nat @ X0 @ ( size_size_list_a @ ys ) )
=> ( ( f @ ( minus_minus_nat @ X0 @ ( size_size_list_a @ xs ) ) )
= ( g @ ( minus_minus_nat @ X0 @ ( size_size_list_a @ ys ) ) ) ) )
& ( ( ord_less_nat @ X0 @ ( size_size_list_a @ ys ) )
=> ( ( nth_a @ xs @ X0 )
= ( g @ ( minus_minus_nat @ X0 @ ( size_size_list_a @ ys ) ) ) ) ) ) )
& ( ( ord_less_nat @ X0 @ ( size_size_list_a @ ys ) )
=> ( ( ~ ( ord_less_nat @ X0 @ ( size_size_list_a @ ys ) )
=> ( ( f @ ( minus_minus_nat @ X0 @ ( size_size_list_a @ xs ) ) )
= ( nth_a @ ys @ X0 ) ) )
& ( ( ord_less_nat @ X0 @ ( size_size_list_a @ ys ) )
=> ( ( nth_a @ xs @ X0 )
= ( nth_a @ ys @ X0 ) ) ) ) ) ),
inference(rectify,[],[f265]) ).
thf(f733,plain,
! [X0: nat] :
( ( ( ( ord_less_nat @ X0 @ ( size_size_list_a @ ys ) )
!= $true )
=> ( ( ( ( ord_less_nat @ X0 @ ( size_size_list_a @ ys ) )
!= $true )
=> ( ( f @ ( minus_minus_nat @ X0 @ ( size_size_list_a @ xs ) ) )
= ( g @ ( minus_minus_nat @ X0 @ ( size_size_list_a @ ys ) ) ) ) )
& ( ( ( ord_less_nat @ X0 @ ( size_size_list_a @ ys ) )
= $true )
=> ( ( nth_a @ xs @ X0 )
= ( g @ ( minus_minus_nat @ X0 @ ( size_size_list_a @ ys ) ) ) ) ) ) )
& ( ( ( ord_less_nat @ X0 @ ( size_size_list_a @ ys ) )
= $true )
=> ( ( ( ( ord_less_nat @ X0 @ ( size_size_list_a @ ys ) )
!= $true )
=> ( ( nth_a @ ys @ X0 )
= ( f @ ( minus_minus_nat @ X0 @ ( size_size_list_a @ xs ) ) ) ) )
& ( ( ( ord_less_nat @ X0 @ ( size_size_list_a @ ys ) )
= $true )
=> ( ( nth_a @ xs @ X0 )
= ( nth_a @ ys @ X0 ) ) ) ) ) ),
inference(fool_elimination,[],[f732]) ).
thf(f734,plain,
ord_less_nat @ x @ ( size_size_list_a @ ys ),
inference(rectify,[],[f266]) ).
thf(f735,plain,
( ( ord_less_nat @ x @ ( size_size_list_a @ ys ) )
= $true ),
inference(fool_elimination,[],[f734]) ).
thf(f767,plain,
! [X0: nat] :
( ( ( ( ord_less_nat @ X0 @ ( size_size_list_a @ ys ) )
!= $true )
=> ( ( ( ( ord_less_nat @ X0 @ ( size_size_list_a @ ys ) )
!= $true )
=> ( ( f @ ( minus_minus_nat @ X0 @ ( size_size_list_a @ xs ) ) )
= ( g @ ( minus_minus_nat @ X0 @ ( size_size_list_a @ ys ) ) ) ) )
& ( ( ( ord_less_nat @ X0 @ ( size_size_list_a @ ys ) )
= $true )
=> ( ( nth_a @ xs @ X0 )
= ( g @ ( minus_minus_nat @ X0 @ ( size_size_list_a @ ys ) ) ) ) ) ) )
& ( ( ( ord_less_nat @ X0 @ ( size_size_list_a @ ys ) )
= $true )
=> ( ( ( ( ord_less_nat @ X0 @ ( size_size_list_a @ ys ) )
!= $true )
=> ( ( nth_a @ ys @ X0 )
= ( f @ ( minus_minus_nat @ X0 @ ( size_size_list_a @ xs ) ) ) ) )
& ( ( ( ord_less_nat @ X0 @ ( size_size_list_a @ ys ) )
= $true )
=> ( ( nth_a @ xs @ X0 )
= ( nth_a @ ys @ X0 ) ) ) ) ) ),
inference(flattening,[],[f733]) ).
thf(f768,plain,
( ( nth_a @ xs @ x )
!= ( nth_a @ ys @ x ) ),
inference(flattening,[],[f268]) ).
thf(f1030,plain,
! [X0: nat] :
( ( ( ( ( ( f @ ( minus_minus_nat @ X0 @ ( size_size_list_a @ xs ) ) )
= ( g @ ( minus_minus_nat @ X0 @ ( size_size_list_a @ ys ) ) ) )
| ( ( ord_less_nat @ X0 @ ( size_size_list_a @ ys ) )
= $true ) )
& ( ( ( nth_a @ xs @ X0 )
= ( g @ ( minus_minus_nat @ X0 @ ( size_size_list_a @ ys ) ) ) )
| ( ( ord_less_nat @ X0 @ ( size_size_list_a @ ys ) )
!= $true ) ) )
| ( ( ord_less_nat @ X0 @ ( size_size_list_a @ ys ) )
= $true ) )
& ( ( ( ( ( nth_a @ ys @ X0 )
= ( f @ ( minus_minus_nat @ X0 @ ( size_size_list_a @ xs ) ) ) )
| ( ( ord_less_nat @ X0 @ ( size_size_list_a @ ys ) )
= $true ) )
& ( ( ( nth_a @ xs @ X0 )
= ( nth_a @ ys @ X0 ) )
| ( ( ord_less_nat @ X0 @ ( size_size_list_a @ ys ) )
!= $true ) ) )
| ( ( ord_less_nat @ X0 @ ( size_size_list_a @ ys ) )
!= $true ) ) ),
inference(ennf_transformation,[],[f767]) ).
thf(f1197,plain,
( ord_less_nat
= ( ^ [Y0: nat,Y1: nat] :
( !! @ nat
@ ^ [Y2: nat] :
( ( ord_less_eq_nat @ Y1 @ Y2 )
=> ( Y0 != Y2 ) ) ) ) ),
inference(cnf_transformation,[],[f391]) ).
thf(f1443,plain,
! [X0: nat] :
( ( ( nth_a @ xs @ X0 )
= ( nth_a @ ys @ X0 ) )
| ( ( ord_less_nat @ X0 @ ( size_size_list_a @ ys ) )
!= $true )
| ( ( ord_less_nat @ X0 @ ( size_size_list_a @ ys ) )
!= $true ) ),
inference(cnf_transformation,[],[f1030]) ).
thf(f1447,plain,
( ( ord_less_nat @ x @ ( size_size_list_a @ ys ) )
= $true ),
inference(cnf_transformation,[],[f735]) ).
thf(f1448,plain,
( ( nth_a @ xs @ x )
!= ( nth_a @ ys @ x ) ),
inference(cnf_transformation,[],[f768]) ).
thf(f1665,plain,
! [X0: nat] :
( ( ( nth_a @ xs @ X0 )
= ( nth_a @ ys @ X0 ) )
| ( $true
!= ( ^ [Y0: nat,Y1: nat] :
( !! @ nat
@ ^ [Y2: nat] :
( ( ord_less_eq_nat @ Y1 @ Y2 )
=> ( Y0 != Y2 ) ) )
@ X0
@ ( size_size_list_a @ ys ) ) )
| ( $true
!= ( ^ [Y0: nat,Y1: nat] :
( !! @ nat
@ ^ [Y2: nat] :
( ( ord_less_eq_nat @ Y1 @ Y2 )
=> ( Y0 != Y2 ) ) )
@ X0
@ ( size_size_list_a @ ys ) ) ) ),
inference(definition_unfolding,[],[f1443,f1197,f1197]) ).
thf(f1666,plain,
( $true
= ( ^ [Y0: nat,Y1: nat] :
( !! @ nat
@ ^ [Y2: nat] :
( ( ord_less_eq_nat @ Y1 @ Y2 )
=> ( Y0 != Y2 ) ) )
@ x
@ ( size_size_list_a @ ys ) ) ),
inference(definition_unfolding,[],[f1447,f1197]) ).
thf(f1706,plain,
( $true
= ( !! @ nat
@ ^ [Y0: nat] :
( ( ord_less_eq_nat @ ( size_size_list_a @ ys ) @ Y0 )
=> ( x != Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f1666]) ).
thf(f1707,plain,
! [X1: nat] :
( $true
= ( ^ [Y0: nat] :
( ( ord_less_eq_nat @ ( size_size_list_a @ ys ) @ Y0 )
=> ( x != Y0 ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f1706]) ).
thf(f1708,plain,
! [X1: nat] :
( $true
= ( ( ord_less_eq_nat @ ( size_size_list_a @ ys ) @ X1 )
=> ( x != X1 ) ) ),
inference(beta-eta_normalization,[],[f1707]) ).
thf(f1709,plain,
! [X1: nat] :
( ( $false
= ( ord_less_eq_nat @ ( size_size_list_a @ ys ) @ X1 ) )
| ( $true
= ( x != X1 ) ) ),
inference(imp_proxy_clausification,[],[f1708]) ).
thf(f1710,plain,
! [X1: nat] :
( ( $false
= ( ord_less_eq_nat @ ( size_size_list_a @ ys ) @ X1 ) )
| ( $false
= ( x = X1 ) ) ),
inference(not_proxy_clausification,[],[f1709]) ).
thf(f1711,plain,
! [X1: nat] :
( ( x != X1 )
| ( $false
= ( ord_less_eq_nat @ ( size_size_list_a @ ys ) @ X1 ) ) ),
inference(equality_proxy_clausification,[],[f1710]) ).
thf(f1712,plain,
! [X0: nat] :
( ( ( nth_a @ xs @ X0 )
= ( nth_a @ ys @ X0 ) )
| ( $true
!= ( ^ [Y0: nat,Y1: nat] :
( !! @ nat
@ ^ [Y2: nat] :
( ( ord_less_eq_nat @ Y1 @ Y2 )
=> ( Y0 != Y2 ) ) )
@ X0
@ ( size_size_list_a @ ys ) ) ) ),
inference(duplicate_literal_removal,[],[f1665]) ).
thf(f1713,plain,
! [X0: nat] :
( ( ( nth_a @ xs @ X0 )
= ( nth_a @ ys @ X0 ) )
| ( $true
!= ( !! @ nat
@ ^ [Y0: nat] :
( ( ord_less_eq_nat @ ( size_size_list_a @ ys ) @ Y0 )
=> ( X0 != Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f1712]) ).
thf(f1714,plain,
! [X0: nat] :
( ( ( nth_a @ xs @ X0 )
= ( nth_a @ ys @ X0 ) )
| ( $false
= ( ^ [Y0: nat] :
( ( ord_less_eq_nat @ ( size_size_list_a @ ys ) @ Y0 )
=> ( X0 != Y0 ) )
@ ( sK83 @ X0 ) ) ) ),
inference(sigma_proxy_clausification,[],[f1713]) ).
thf(f1715,plain,
! [X0: nat] :
( ( ( nth_a @ xs @ X0 )
= ( nth_a @ ys @ X0 ) )
| ( $false
= ( ( ord_less_eq_nat @ ( size_size_list_a @ ys ) @ ( sK83 @ X0 ) )
=> ( X0
!= ( sK83 @ X0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f1714]) ).
thf(f1716,plain,
! [X0: nat] :
( ( ( nth_a @ xs @ X0 )
= ( nth_a @ ys @ X0 ) )
| ( $false
= ( X0
!= ( sK83 @ X0 ) ) ) ),
inference(imp_proxy_clausification,[],[f1715]) ).
thf(f1717,plain,
! [X0: nat] :
( ( $true
= ( ord_less_eq_nat @ ( size_size_list_a @ ys ) @ ( sK83 @ X0 ) ) )
| ( ( nth_a @ xs @ X0 )
= ( nth_a @ ys @ X0 ) ) ),
inference(imp_proxy_clausification,[],[f1715]) ).
thf(f1718,plain,
! [X0: nat] :
( ( ( nth_a @ xs @ X0 )
= ( nth_a @ ys @ X0 ) )
| ( $true
= ( X0
= ( sK83 @ X0 ) ) ) ),
inference(not_proxy_clausification,[],[f1716]) ).
thf(f1719,plain,
! [X0: nat] :
( ( ( nth_a @ xs @ X0 )
= ( nth_a @ ys @ X0 ) )
| ( ( sK83 @ X0 )
= X0 ) ),
inference(equality_proxy_clausification,[],[f1718]) ).
thf(f6459,plain,
( $false
= ( ord_less_eq_nat @ ( size_size_list_a @ ys ) @ x ) ),
inference(equality_resolution,[],[f1711]) ).
thf(f6470,plain,
( ( ( nth_a @ ys @ x )
!= ( nth_a @ ys @ x ) )
| ( x
= ( sK83 @ x ) ) ),
inference(constrained_superposition,[],[f1448,f1719]) ).
thf(f6471,plain,
( x
= ( sK83 @ x ) ),
inference(trivial_inequality_removal,[],[f6470]) ).
thf(f6501,plain,
( ( $true
= ( ord_less_eq_nat @ ( size_size_list_a @ ys ) @ x ) )
| ( ( nth_a @ xs @ x )
= ( nth_a @ ys @ x ) ) ),
inference(constrained_superposition,[],[f1717,f6471]) ).
thf(f6502,plain,
( $true
= ( ord_less_eq_nat @ ( size_size_list_a @ ys ) @ x ) ),
inference(forward_subsumption_resolution,[],[f6501,f1448]) ).
thf(f6503,plain,
$true = $false,
inference(forward_demodulation,[],[f6502,f6459]) ).
thf(f6504,plain,
$false,
inference(trivial_inequality_removal,[],[f6503]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP101^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.17 % Computer : n009.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Tue Sep 29 19:53:45 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.20 Running first-order model finding
% 0.07/0.20 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.45/0.36 % (273833)Will run a generic schedule for satisfiability detection.
% 0.45/0.36 % (273844)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=879380552:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.45/0.36 % (273839)% WARNING: option uhcvi not known.
% 0.45/0.36 % (273838)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=573751490_2999 on theBenchmark for (2999ds/0Mi)
% 0.45/0.36 % (273842)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1379883296:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.45/0.36 % (273840)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=211834792:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.45/0.36 % (273839)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1962339368:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.45/0.36 % (273841)dis+10_1_sil=32000:sp=arity:random_seed=236706118:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.45/0.36 % (273843)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1635073224:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.45/0.36 % (273842)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.45/0.36 % (273839)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.45/0.36 % (273844)Instruction limit reached!
% 0.45/0.36 % (273844)------------------------------
% 0.45/0.36 % (273844)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.36 % (273844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.36 % (273844)CaDiCaL version: 2.1.3
% 0.45/0.36 % (273844)Termination reason: Instruction limit
% 0.45/0.36 % (273844)Termination phase: Saturation
% 0.45/0.36 % (273844)Time elapsed: 0.035 s
% 0.45/0.36 % (273844)Peak memory usage: 14 MB
% 0.45/0.36 % (273844)Instructions burned: 161 (million)
% 0.45/0.36 % (273852)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=700337363:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.45/0.36 % Exception at run slice level
% 0.45/0.36 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.45/0.36 % (273839)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.45/0.36 % (273841)Instruction limit reached!
% 0.45/0.36 % (273841)------------------------------
% 0.45/0.36 % (273841)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.36 % (273841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.36 % (273841)CaDiCaL version: 2.1.3
% 0.45/0.36 % (273841)Termination reason: Instruction limit
% 0.45/0.36 % (273841)Termination phase: Saturation
% 0.45/0.36 % (273841)Time elapsed: 0.043 s
% 0.45/0.36 % (273841)Peak memory usage: 12 MB
% 0.45/0.36 % (273841)Instructions burned: 103 (million)
% 0.45/0.36 % (273842)Instruction limit reached!
% 0.45/0.36 % (273842)------------------------------
% 0.45/0.36 % (273842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.36 % (273842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.36 % (273842)CaDiCaL version: 2.1.3
% 0.45/0.36 % (273842)Termination reason: Instruction limit
% 0.45/0.36 % (273842)Termination phase: Saturation
% 0.45/0.36 % (273842)Time elapsed: 0.049 s
% 0.45/0.36 % (273842)Peak memory usage: 12 MB
% 0.45/0.36 % (273842)Instructions burned: 117 (million)
% 0.45/0.36 % (273854)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3722659473:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.45/0.36 % Exception at run slice level
% 0.45/0.36 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.45/0.36 % (273855)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3300861280:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.45/0.36 % (273856)ott-21_1_sil=16000:fs=off:random_seed=1984698388:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 0.45/0.36 % (273858)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=198630254:i=477:bd=all_2999 on theBenchmark for (2999ds/477Mi)
% 0.45/0.36 % (273855)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.45/0.36 % (273843)Instruction limit reached!
% 0.45/0.36 % (273843)------------------------------
% 0.45/0.36 % (273843)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.36 % (273843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.36 % (273843)CaDiCaL version: 2.1.3
% 0.45/0.36 % (273843)Termination reason: Instruction limit
% 0.45/0.36 % (273843)Termination phase: Saturation
% 0.45/0.36 % (273843)Time elapsed: 0.091 s
% 0.45/0.36 % (273843)Peak memory usage: 12 MB
% 0.45/0.36 % (273843)Instructions burned: 132 (million)
% 0.45/0.36 % (273855)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.45/0.36 % (273840) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-273833-273840"...
% 0.45/0.36 % (273854)Instruction limit reached!
% 0.45/0.36 % (273854)------------------------------
% 0.45/0.36 % (273854)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.36 % (273854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.36 % (273854)CaDiCaL version: 2.1.3
% 0.45/0.36 % (273854)Termination reason: Instruction limit
% 0.45/0.36 % (273854)Termination phase: Saturation
% 0.45/0.36 % (273854)Time elapsed: 0.056 s
% 0.45/0.36 % (273854)Peak memory usage: 13 MB
% 0.45/0.36 % (273854)Instructions burned: 134 (million)
% 0.45/0.36 % (273840)...printing done.
% 0.45/0.36 % (273840)Refutation found. Thanks to Tanya!
% 0.45/0.36 % SZS status Theorem for theBenchmark
% 0.45/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.45/0.36 % (273840)------------------------------
% 0.45/0.36 % (273840)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.36 % (273840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.36 % (273840)CaDiCaL version: 2.1.3
% 0.45/0.36 % (273840)Termination reason: Refutation
% 0.45/0.36 % (273840)Time elapsed: 0.118 s
% 0.45/0.36 % (273840)Peak memory usage: 15 MB
% 0.45/0.36 % (273840)Instructions burned: 264 (million)
% 0.45/0.36 % (273833)Success in time 0.154 s
% 0.45/0.36 % Vampire exiting
%------------------------------------------------------------------------------