%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP053^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n008.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 08:10:31 AM UTC 2026
% Result : Theorem 1.48s 0.59s
% Output : Refutation 1.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 10
% Syntax : Number of formulae : 42 ( 29 unt; 0 typ; 4 def)
% Number of atoms : 55 ( 48 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 293 ( 17 ~; 10 |; 0 &; 263 @)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 12 ( 11 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 371 ( 369 usr; 18 con; 0-5 aty)
% Number of variables : 21 ( 0 sgn 21 !; 0 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
produc1864880952at_nat: $tType ).
thf(type_def_6,type,
produc787001653at_nat: $tType ).
thf(type_def_7,type,
produc2082277813at_nat: $tType ).
thf(type_def_8,type,
produc1190591575at_nat: $tType ).
thf(type_def_9,type,
produc1271302400at_nat: $tType ).
thf(type_def_10,type,
produc1695820582at_nat: $tType ).
thf(type_def_11,type,
list_P559422087at_nat: $tType ).
thf(type_def_12,type,
set_Pr1986765409at_nat: $tType ).
thf(type_def_13,type,
product_prod_nat_nat: $tType ).
thf(type_def_14,type,
capacity: $tType ).
thf(type_def_15,type,
nat: $tType ).
thf(type_def_16,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
connected_capacity: ( product_prod_nat_nat > capacity ) > nat > nat > $o ).
thf(func_def_1,type,
dist_capacity: ( product_prod_nat_nat > capacity ) > nat > nat > nat > $o ).
thf(func_def_2,type,
isPath_capacity: ( product_prod_nat_nat > capacity ) > nat > list_P559422087at_nat > nat > $o ).
thf(func_def_3,type,
isShor1936442771pacity: ( product_prod_nat_nat > capacity ) > nat > list_P559422087at_nat > nat > $o ).
thf(func_def_4,type,
isSimp1359852763pacity: ( product_prod_nat_nat > capacity ) > nat > list_P559422087at_nat > nat > $o ).
thf(func_def_5,type,
min_dist_capacity: ( product_prod_nat_nat > capacity ) > nat > nat > nat ).
thf(func_def_6,type,
one_one_nat: nat ).
thf(func_def_7,type,
plus_plus_nat: nat > nat > nat ).
thf(func_def_8,type,
nil_Pr1308055047at_nat: list_P559422087at_nat ).
thf(func_def_9,type,
set_Pr2131844118at_nat: list_P559422087at_nat > set_Pr1986765409at_nat ).
thf(func_def_10,type,
size_s1990949619at_nat: list_P559422087at_nat > nat ).
thf(func_def_11,type,
ord_less_nat: nat > nat > $o ).
thf(func_def_12,type,
ord_less_eq_nat: nat > nat > $o ).
thf(func_def_13,type,
produc1682925677at_nat: ( nat > nat > nat ) > produc1695820582at_nat > produc2082277813at_nat ).
thf(func_def_14,type,
produc696256106at_nat: ( nat > product_prod_nat_nat > product_prod_nat_nat ) > produc1190591575at_nat > produc1864880952at_nat ).
thf(func_def_15,type,
product_Pair_nat_nat: nat > nat > product_prod_nat_nat ).
thf(func_def_16,type,
produc1933845336at_nat: nat > product_prod_nat_nat > produc1695820582at_nat ).
thf(func_def_17,type,
produc869658639at_nat: nat > produc1695820582at_nat > produc1190591575at_nat ).
thf(func_def_18,type,
produc947540346at_nat: product_prod_nat_nat > nat > produc1271302400at_nat ).
thf(func_def_19,type,
produc365964781at_nat: produc1695820582at_nat > ( nat > nat > nat ) > produc787001653at_nat ).
thf(func_def_20,type,
produc1728816653at_nat: produc2082277813at_nat > produc787001653at_nat ).
thf(func_def_21,type,
product_swap_nat_nat: product_prod_nat_nat > product_prod_nat_nat ).
thf(func_def_22,type,
produc857968056at_nat: produc1695820582at_nat > produc1271302400at_nat ).
thf(func_def_23,type,
produc2019146714at_nat: produc1271302400at_nat > produc1695820582at_nat ).
thf(func_def_24,type,
produc411855757at_nat: produc787001653at_nat > produc2082277813at_nat ).
thf(func_def_25,type,
collec7649004at_nat: ( product_prod_nat_nat > $o ) > set_Pr1986765409at_nat ).
thf(func_def_26,type,
member701585322at_nat: product_prod_nat_nat > set_Pr1986765409at_nat > $o ).
thf(func_def_27,type,
c: product_prod_nat_nat > capacity ).
thf(func_def_28,type,
p: list_P559422087at_nat ).
thf(func_def_29,type,
p1: list_P559422087at_nat ).
thf(func_def_30,type,
p2: list_P559422087at_nat ).
thf(func_def_31,type,
p3: list_P559422087at_nat ).
thf(func_def_32,type,
s: nat ).
thf(func_def_33,type,
t: nat ).
thf(func_def_34,type,
u: nat ).
thf(func_def_35,type,
v: nat ).
thf(func_def_39,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_40,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_41,type,
vAND: $o > $o > $o ).
thf(func_def_42,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_43,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_44,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_45,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_46,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_47,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_48,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_49,type,
vIMP: $o > $o > $o ).
thf(func_def_50,type,
vOR: $o > $o > $o ).
thf(func_def_51,type,
vNOT: $o > $o ).
thf(func_def_52,type,
sP0: nat > nat > nat > $o ).
thf(func_def_53,type,
sP1: nat > nat > nat > $o ).
thf(func_def_54,type,
sP2: nat > nat > nat > $o ).
thf(func_def_55,type,
sK3: nat > nat > nat > nat ).
thf(func_def_56,type,
sK4: ( product_prod_nat_nat > $o ) > ( product_prod_nat_nat > $o ) > product_prod_nat_nat ).
thf(func_def_57,type,
sK5: nat > nat > list_P559422087at_nat ).
thf(func_def_58,type,
sK6: nat > list_P559422087at_nat > nat ).
thf(func_def_59,type,
sK7: nat > list_P559422087at_nat > nat ).
thf(func_def_60,type,
sK8: nat > nat > nat ).
thf(func_def_61,type,
sK9: ( nat > $o ) > nat > nat > nat ).
thf(func_def_62,type,
sK10: nat > list_P559422087at_nat > nat ).
thf(func_def_63,type,
sK11: nat > list_P559422087at_nat > nat ).
thf(func_def_64,type,
sK12: nat > nat > ( product_prod_nat_nat > capacity ) > list_P559422087at_nat ).
thf(func_def_65,type,
sK13: nat > nat > ( product_prod_nat_nat > capacity ) > nat ).
thf(func_def_66,type,
sK14: ( nat > $o ) > nat > nat > ( product_prod_nat_nat > capacity ) > nat ).
thf(func_def_67,type,
sK15: nat > nat > nat ).
thf(func_def_68,type,
sK16: nat > nat > nat > ( product_prod_nat_nat > capacity ) > nat ).
thf(func_def_69,type,
sK17: nat > nat > nat ).
thf(func_def_70,type,
sK18: nat > nat > list_P559422087at_nat ).
thf(func_def_71,type,
sK19: ( nat > nat ) > nat ).
thf(func_def_72,type,
sK20: ( nat > nat ) > nat ).
thf(func_def_73,type,
sK21: ( nat > $o ) > nat ).
thf(func_def_74,type,
sK22: ( nat > $o ) > nat ).
thf(func_def_75,type,
sK23: ( nat > nat ) > nat ).
thf(func_def_76,type,
sK24: ( nat > nat ) > nat ).
thf(func_def_77,type,
sK25: nat > nat > ( product_prod_nat_nat > capacity ) > list_P559422087at_nat ).
thf(func_def_78,type,
sK26: nat > nat > ( product_prod_nat_nat > capacity ) > nat ).
thf(func_def_79,type,
sK27: produc2082277813at_nat > nat > nat > nat ).
thf(func_def_80,type,
sK28: produc2082277813at_nat > produc1695820582at_nat ).
thf(func_def_81,type,
sK29: produc1695820582at_nat > nat ).
thf(func_def_82,type,
sK30: produc1695820582at_nat > product_prod_nat_nat ).
thf(func_def_83,type,
sK31: product_prod_nat_nat > nat ).
thf(func_def_84,type,
sK32: product_prod_nat_nat > nat ).
thf(func_def_85,type,
sK33: ( produc2082277813at_nat > $o ) > nat > nat > nat ).
thf(func_def_86,type,
sK34: ( produc2082277813at_nat > $o ) > produc1695820582at_nat ).
thf(func_def_87,type,
sK35: ( produc1695820582at_nat > $o ) > nat ).
thf(func_def_88,type,
sK36: ( produc1695820582at_nat > $o ) > product_prod_nat_nat ).
thf(func_def_89,type,
sK37: ( product_prod_nat_nat > $o ) > nat ).
thf(func_def_90,type,
sK38: ( product_prod_nat_nat > $o ) > nat ).
thf(func_def_91,type,
sK39: produc2082277813at_nat > nat > nat > nat ).
thf(func_def_92,type,
sK40: produc2082277813at_nat > nat ).
thf(func_def_93,type,
sK41: produc2082277813at_nat > product_prod_nat_nat ).
thf(func_def_94,type,
sK42: produc1695820582at_nat > nat ).
thf(func_def_95,type,
sK43: produc1695820582at_nat > nat ).
thf(func_def_96,type,
sK44: produc1695820582at_nat > nat ).
thf(func_def_97,type,
sK45: produc2082277813at_nat > nat > nat > nat ).
thf(func_def_98,type,
sK46: produc2082277813at_nat > nat ).
thf(func_def_99,type,
sK47: produc2082277813at_nat > nat ).
thf(func_def_100,type,
sK48: produc2082277813at_nat > nat ).
thf(func_def_101,type,
sK49: ( produc2082277813at_nat > $o ) > nat > nat > nat ).
thf(func_def_102,type,
sK50: ( produc2082277813at_nat > $o ) > nat ).
thf(func_def_103,type,
sK51: ( produc2082277813at_nat > $o ) > product_prod_nat_nat ).
thf(func_def_104,type,
sK52: ( produc1695820582at_nat > $o ) > nat ).
thf(func_def_105,type,
sK53: ( produc1695820582at_nat > $o ) > nat ).
thf(func_def_106,type,
sK54: ( produc1695820582at_nat > $o ) > nat ).
thf(func_def_107,type,
sK55: ( produc2082277813at_nat > $o ) > nat > nat > nat ).
thf(func_def_108,type,
sK56: ( produc2082277813at_nat > $o ) > nat ).
thf(func_def_109,type,
sK57: ( produc2082277813at_nat > $o ) > nat ).
thf(func_def_110,type,
sK58: ( produc2082277813at_nat > $o ) > nat ).
thf(func_def_111,type,
sK59: produc2082277813at_nat > nat > nat > nat ).
thf(func_def_112,type,
sK60: produc2082277813at_nat > produc1695820582at_nat ).
thf(func_def_113,type,
sK61: produc1695820582at_nat > nat ).
thf(func_def_114,type,
sK62: produc1695820582at_nat > product_prod_nat_nat ).
thf(func_def_115,type,
sK63: product_prod_nat_nat > nat ).
thf(func_def_116,type,
sK64: product_prod_nat_nat > nat ).
thf(func_def_117,type,
sK65: ( produc2082277813at_nat > $o ) > nat > nat > nat ).
thf(func_def_118,type,
sK66: ( produc2082277813at_nat > $o ) > produc1695820582at_nat ).
thf(func_def_119,type,
sK67: ( produc1695820582at_nat > $o ) > nat ).
thf(func_def_120,type,
sK68: ( produc1695820582at_nat > $o ) > product_prod_nat_nat ).
thf(func_def_121,type,
sK69: ( product_prod_nat_nat > $o ) > nat ).
thf(func_def_122,type,
sK70: ( product_prod_nat_nat > $o ) > nat ).
thf(func_def_123,type,
sK71: ( nat > $o ) > nat ).
thf(func_def_124,type,
sK72: nat > ( nat > $o ) > nat ).
thf(func_def_125,type,
sK73: nat > nat > nat ).
thf(func_def_126,type,
sK74: ( nat > $o ) > nat ).
thf(func_def_127,type,
sK75: nat > ( nat > $o ) > nat ).
thf(func_def_128,type,
sK76: produc1864880952at_nat > nat > product_prod_nat_nat > product_prod_nat_nat ).
thf(func_def_129,type,
sK77: produc1864880952at_nat > nat ).
thf(func_def_130,type,
sK78: produc1864880952at_nat > nat ).
thf(func_def_131,type,
sK79: produc1864880952at_nat > product_prod_nat_nat ).
thf(func_def_132,type,
sK80: produc2082277813at_nat > nat > nat > nat ).
thf(func_def_133,type,
sK81: produc2082277813at_nat > nat ).
thf(func_def_134,type,
sK82: produc2082277813at_nat > nat ).
thf(func_def_135,type,
sK83: produc2082277813at_nat > nat ).
thf(func_def_136,type,
sK84: ( nat > nat > $o ) > nat ).
thf(func_def_137,type,
sK85: ( nat > nat > $o ) > nat ).
thf(func_def_138,type,
sK86: ( nat > nat > $o ) > nat ).
thf(func_def_139,type,
sK87: ( nat > nat > $o ) > nat ).
thf(func_def_140,type,
sK88: ( nat > nat ) > nat ).
thf(func_def_141,type,
sK89: ( nat > nat ) > nat ).
thf(func_def_142,type,
sK90: ( nat > nat ) > nat ).
thf(func_def_143,type,
sK91: ( nat > nat ) > nat ).
thf(func_def_144,type,
sK92: ( nat > nat ) > nat ).
thf(func_def_145,type,
sK93: ( nat > nat ) > nat ).
thf(func_def_146,type,
sK94: ( nat > nat ) > nat ).
thf(func_def_147,type,
sK95: ( nat > nat ) > nat ).
thf(func_def_148,type,
sK96: ( nat > nat > $o ) > nat ).
thf(func_def_149,type,
sK97: ( nat > nat > $o ) > nat ).
thf(func_def_150,type,
sK98: ( nat > nat > $o ) > nat ).
thf(func_def_151,type,
sK99: ( nat > nat > $o ) > nat ).
thf(func_def_152,type,
sK100: ( nat > nat > $o ) > nat ).
thf(func_def_153,type,
sF101: nat ).
thf(func_def_154,type,
sF102: nat ).
thf(func_def_155,type,
sF103: nat ).
thf(func_def_156,type,
sK104: nat > nat > nat ).
thf(func_def_157,type,
sK105: nat > nat > nat ).
thf(func_def_158,type,
sK106: nat > nat > nat ).
thf(func_def_159,type,
sK107: nat > nat > nat ).
thf(func_def_160,type,
sK108: nat > nat > nat ).
thf(func_def_161,type,
sK109: nat > nat > nat ).
thf(func_def_162,type,
sK110: nat > nat > nat ).
thf(func_def_163,type,
sK111: nat > nat > nat ).
thf(func_def_164,type,
sK112: ( nat > nat > $o ) > nat ).
thf(func_def_165,type,
sK113: ( nat > nat > $o ) > nat ).
thf(func_def_166,type,
sK114: nat > nat > nat ).
thf(func_def_167,type,
sK115: nat > nat > nat ).
thf(func_def_168,type,
sK116: nat > nat > nat ).
thf(func_def_169,type,
sK117: nat > nat > nat ).
thf(func_def_170,type,
sK118: nat > ( nat > nat ) > nat > nat ).
thf(func_def_171,type,
sK119: ( nat > nat ) > nat ).
thf(func_def_172,type,
sK120: nat > ( nat > nat ) > nat > nat ).
thf(func_def_173,type,
sK121: nat > nat > ( nat > nat ) > nat ).
thf(func_def_174,type,
sK122: ( nat > nat ) > nat ).
thf(func_def_175,type,
sK123: nat > nat > ( nat > nat ) > nat ).
thf(func_def_176,type,
sK124: nat > ( nat > nat ) > nat > nat ).
thf(func_def_177,type,
sK125: ( nat > nat ) > nat ).
thf(func_def_178,type,
sK126: nat > ( nat > nat ) > nat > nat ).
thf(func_def_179,type,
sK127: nat > nat > ( nat > nat ) > nat ).
thf(func_def_180,type,
sK128: ( nat > nat ) > nat ).
thf(func_def_181,type,
sK129: nat > nat > ( nat > nat ) > nat ).
thf(func_def_182,type,
sK130: nat > nat > nat ).
thf(func_def_183,type,
sK131: nat > nat > nat ).
thf(func_def_184,type,
sK132: nat > nat ).
thf(func_def_185,type,
sK133: nat > nat > nat ).
thf(func_def_186,type,
sK134: nat > nat > nat ).
thf(func_def_187,type,
sK135: nat > nat > nat ).
thf(func_def_188,type,
sK136: nat > nat > nat ).
thf(func_def_189,type,
sK137: nat > nat > nat ).
thf(func_def_190,type,
sK138: nat > nat > nat ).
thf(func_def_191,type,
sK139: nat > nat > nat ).
thf(func_def_192,type,
sK140: nat > nat > nat ).
thf(func_def_193,type,
sK141: nat > nat > nat ).
thf(func_def_194,type,
sK142: nat > nat > nat ).
thf(func_def_195,type,
sK143: nat > nat > nat ).
thf(func_def_196,type,
sK144: nat > nat > nat ).
thf(func_def_197,type,
sK145: nat > nat > nat ).
thf(func_def_198,type,
sK146: nat > nat > nat ).
thf(func_def_199,type,
sK147: nat > nat > nat ).
thf(func_def_200,type,
sK148: nat > nat > nat ).
thf(func_def_201,type,
sK149: nat > nat > nat ).
thf(func_def_202,type,
sK150: nat > nat > nat ).
thf(func_def_203,type,
sK151: nat > nat > nat ).
thf(func_def_204,type,
sK152: nat > nat > nat ).
thf(func_def_205,type,
sK153: nat > nat > nat ).
thf(func_def_206,type,
sK154: nat > nat > nat ).
thf(func_def_207,type,
sK155: nat > nat > nat ).
thf(func_def_208,type,
sK156: nat > nat > nat ).
thf(func_def_209,type,
sK157: nat > nat > nat ).
thf(func_def_210,type,
sK158: nat > nat > nat ).
thf(func_def_211,type,
sK159: nat > nat > nat ).
thf(func_def_212,type,
sK160: nat > nat > nat ).
thf(func_def_213,type,
sK161: nat > nat > nat ).
thf(func_def_214,type,
sK162: nat > nat > nat ).
thf(func_def_215,type,
sK163: nat > nat > nat ).
thf(func_def_216,type,
sK164: nat > nat > nat ).
thf(func_def_217,type,
sK165: nat > nat > nat ).
thf(func_def_218,type,
sK166: nat > nat ).
thf(func_def_219,type,
sK167: ( nat > nat > $o ) > nat ).
thf(func_def_220,type,
sK168: ( nat > nat > $o ) > nat ).
thf(func_def_221,type,
sK169: nat > nat > nat ).
thf(func_def_222,type,
sK170: nat > nat ).
thf(func_def_223,type,
sK171: nat > nat > nat ).
thf(func_def_224,type,
sK172: nat > nat ).
thf(func_def_225,type,
sK173: ( nat > $o ) > nat > nat ).
thf(func_def_226,type,
sK174: ( nat > $o ) > nat > nat ).
thf(func_def_227,type,
sK175: nat > nat > nat ).
thf(func_def_228,type,
sK176: nat > nat > nat ).
thf(func_def_229,type,
sK177: nat > nat > nat ).
thf(func_def_230,type,
sK178: nat > nat > nat ).
thf(func_def_231,type,
sK179: nat > nat > nat ).
thf(func_def_232,type,
sK180: nat > nat > nat ).
thf(func_def_233,type,
sK181: nat > nat > nat > nat > nat ).
thf(func_def_234,type,
sK182: nat > nat > nat > nat ).
thf(func_def_235,type,
sK183: nat > nat > nat > nat ).
thf(func_def_236,type,
sK184: nat > nat > nat > nat ).
thf(func_def_237,type,
sK185: ( nat > $o ) > nat > nat ).
thf(func_def_238,type,
sK186: ( nat > $o ) > nat > nat ).
thf(func_def_239,type,
sK187: nat > nat > nat ).
thf(func_def_240,type,
sK188: nat > nat > nat ).
thf(func_def_241,type,
sK189: nat > nat ).
thf(func_def_242,type,
sK190: nat > nat > nat ).
thf(func_def_243,type,
sK191: nat > nat ).
thf(func_def_244,type,
sK192: nat > ( product_prod_nat_nat > capacity ) > nat > list_P559422087at_nat ).
thf(func_def_245,type,
sK193: nat > nat > nat > nat > nat ).
thf(func_def_246,type,
sK194: nat > nat > nat > nat > nat ).
thf(func_def_247,type,
sK195: nat > nat > nat > nat > nat ).
thf(func_def_248,type,
sK196: nat > nat > nat > nat > nat ).
thf(func_def_249,type,
sK197: nat > nat > ( product_prod_nat_nat > capacity ) > list_P559422087at_nat > list_P559422087at_nat ).
thf(func_def_250,type,
sK198: nat > ( nat > nat ) > nat > nat ).
thf(func_def_251,type,
sK199: ( nat > nat ) > nat ).
thf(func_def_252,type,
sK200: nat > ( nat > nat ) > nat > nat ).
thf(func_def_253,type,
sK201: nat > nat > nat > nat > nat ).
thf(func_def_254,type,
sK202: nat > nat > nat > nat ).
thf(func_def_255,type,
sK203: nat > nat > nat > nat ).
thf(func_def_256,type,
sK204: nat > nat > nat > nat > nat ).
thf(func_def_257,type,
sK205: nat > nat > nat > nat ).
thf(func_def_258,type,
sK206: nat > nat > nat > nat ).
thf(func_def_259,type,
sK207: nat > nat > nat ).
thf(func_def_260,type,
sK208: nat > nat > nat ).
thf(func_def_261,type,
sK209: nat > nat > nat ).
thf(func_def_262,type,
sK210: nat > nat > nat ).
thf(func_def_263,type,
sK211: nat > nat > nat ).
thf(func_def_264,type,
sK212: nat > nat > nat ).
thf(func_def_265,type,
sK213: nat > nat > nat ).
thf(func_def_266,type,
sK214: nat > nat > nat ).
thf(func_def_267,type,
sK215: nat > nat > nat ).
thf(func_def_268,type,
sK216: nat > nat > nat > nat ).
thf(func_def_269,type,
sK217: nat > nat > nat > nat ).
thf(func_def_270,type,
sK218: nat > nat > nat > nat ).
thf(func_def_271,type,
sK219: nat > nat > nat > nat > nat ).
thf(func_def_272,type,
sK220: nat > nat > nat ).
thf(func_def_273,type,
sK221: nat > nat > nat ).
thf(func_def_274,type,
sK222: nat > nat > nat ).
thf(func_def_275,type,
sK223: nat > nat ).
thf(func_def_276,type,
sK224: nat > nat > nat ).
thf(func_def_277,type,
sK225: nat > ( nat > nat ) > nat > nat ).
thf(func_def_278,type,
sK226: ( nat > nat ) > nat ).
thf(func_def_279,type,
sK227: nat > ( nat > nat ) > nat > nat ).
thf(func_def_280,type,
sK228: nat > nat > nat ).
thf(func_def_281,type,
sK229: nat > nat > nat > nat ).
thf(func_def_282,type,
sK230: nat > nat > nat ).
thf(func_def_283,type,
sK231: nat > nat > nat > nat ).
thf(func_def_284,type,
sK232: nat > nat > nat ).
thf(func_def_285,type,
sK233: nat > nat > nat > nat ).
thf(func_def_286,type,
sK234: list_P559422087at_nat > nat > nat > list_P559422087at_nat ).
thf(func_def_287,type,
sK235: nat > nat > list_P559422087at_nat ).
thf(func_def_288,type,
sK236: list_P559422087at_nat > list_P559422087at_nat > nat ).
thf(func_def_289,type,
sK237: list_P559422087at_nat > nat > nat > list_P559422087at_nat ).
thf(func_def_290,type,
sK238: list_P559422087at_nat > nat > nat > list_P559422087at_nat ).
thf(func_def_291,type,
sK239: nat > nat > nat ).
thf(func_def_292,type,
sK240: nat > nat > nat > nat ).
thf(func_def_293,type,
sK241: nat > nat > nat > ( product_prod_nat_nat > capacity ) > nat > list_P559422087at_nat ).
thf(func_def_294,type,
sK242: nat > ( product_prod_nat_nat > capacity ) > nat > list_P559422087at_nat ).
thf(func_def_295,type,
sK243: nat > nat > ( product_prod_nat_nat > capacity ) > nat > list_P559422087at_nat ).
thf(func_def_296,type,
sK244: nat > nat > ( product_prod_nat_nat > capacity ) > nat > nat ).
thf(func_def_297,type,
sK245: nat > nat > nat ).
thf(func_def_298,type,
sK246: nat > nat > nat ).
thf(func_def_299,type,
sK247: nat > nat > nat > nat ).
thf(func_def_300,type,
sK248: nat > nat > nat > nat ).
thf(func_def_301,type,
sK249: nat > nat > nat > nat > nat ).
thf(func_def_302,type,
sK250: nat > nat > nat > nat > nat ).
thf(func_def_303,type,
sK251: nat > nat > nat > nat ).
thf(func_def_304,type,
sK252: nat > nat > nat > nat ).
thf(func_def_305,type,
sK253: nat > ( nat > $o ) > ( product_prod_nat_nat > capacity ) > nat > list_P559422087at_nat ).
thf(func_def_306,type,
sK254: nat > nat > ( nat > $o ) > ( product_prod_nat_nat > capacity ) > nat > nat ).
thf(func_def_307,type,
sK255: nat > nat > ( product_prod_nat_nat > capacity ) > list_P559422087at_nat > list_P559422087at_nat ).
thf(func_def_308,type,
sK256: nat > nat > ( product_prod_nat_nat > capacity ) > list_P559422087at_nat > list_P559422087at_nat ).
thf(func_def_309,type,
sK257: nat > nat > ( product_prod_nat_nat > capacity ) > list_P559422087at_nat > list_P559422087at_nat ).
thf(func_def_310,type,
sK258: nat > nat > ( product_prod_nat_nat > capacity ) > list_P559422087at_nat > list_P559422087at_nat ).
thf(func_def_311,type,
sK259: nat > nat > ( product_prod_nat_nat > capacity ) > list_P559422087at_nat ).
thf(func_def_312,type,
db7:
!>[X0: $tType] : X0 ).
thf(func_def_313,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_314,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_315,type,
sK260: nat > nat > ( product_prod_nat_nat > capacity ) > list_P559422087at_nat ).
thf(func_def_316,type,
sK261: nat > nat > ( product_prod_nat_nat > capacity ) > list_P559422087at_nat > list_P559422087at_nat ).
thf(func_def_317,type,
sK262: nat > ( product_prod_nat_nat > capacity ) > nat > list_P559422087at_nat ).
thf(func_def_318,type,
sK263: nat > nat > ( product_prod_nat_nat > capacity ) > list_P559422087at_nat > list_P559422087at_nat ).
thf(func_def_319,type,
sK264: nat > ( product_prod_nat_nat > capacity ) > nat > list_P559422087at_nat ).
thf(func_def_320,type,
sK265: nat > nat > ( product_prod_nat_nat > capacity ) > list_P559422087at_nat > list_P559422087at_nat ).
thf(func_def_321,type,
sK266: nat > nat > ( product_prod_nat_nat > capacity ) > list_P559422087at_nat ).
thf(func_def_322,type,
sK267: nat > ( product_prod_nat_nat > capacity ) > list_P559422087at_nat ).
thf(func_def_323,type,
sK268: nat > nat > list_P559422087at_nat > ( product_prod_nat_nat > capacity ) > nat ).
thf(func_def_324,type,
sK269: nat > nat > list_P559422087at_nat ).
thf(func_def_325,type,
sK270: nat > list_P559422087at_nat ).
thf(func_def_326,type,
sK271: list_P559422087at_nat > nat > nat > list_P559422087at_nat ).
thf(func_def_327,type,
sK272: list_P559422087at_nat > nat > nat > list_P559422087at_nat ).
thf(func_def_328,type,
sK273: list_P559422087at_nat > nat > nat > list_P559422087at_nat ).
thf(func_def_329,type,
sK274: nat > nat > nat ).
thf(func_def_330,type,
sK275: nat > nat > nat > nat ).
thf(func_def_331,type,
sK276: nat > nat > nat ).
thf(func_def_332,type,
sK277: nat > nat > nat > nat ).
thf(func_def_333,type,
sK278: nat > nat > list_P559422087at_nat ).
thf(func_def_334,type,
sK279: list_P559422087at_nat > nat > nat > list_P559422087at_nat ).
thf(func_def_335,type,
sK280: nat > nat > list_P559422087at_nat ).
thf(func_def_336,type,
sK281: list_P559422087at_nat > nat > nat > list_P559422087at_nat ).
thf(func_def_337,type,
sK282: nat > nat > list_P559422087at_nat ).
thf(func_def_338,type,
sK283: list_P559422087at_nat > nat > nat > list_P559422087at_nat ).
thf(func_def_339,type,
sK284: list_P559422087at_nat > nat > nat > list_P559422087at_nat ).
thf(func_def_340,type,
sK285: list_P559422087at_nat > nat > nat > list_P559422087at_nat ).
thf(func_def_341,type,
sK286: list_P559422087at_nat > list_P559422087at_nat > nat ).
thf(func_def_342,type,
sK287: list_P559422087at_nat > nat > nat > list_P559422087at_nat ).
thf(func_def_343,type,
sK288: list_P559422087at_nat > list_P559422087at_nat > nat ).
thf(func_def_344,type,
sK289: list_P559422087at_nat > list_P559422087at_nat > nat ).
thf(func_def_345,type,
sK290: nat > nat > ( nat > $o ) > list_P559422087at_nat ).
thf(func_def_346,type,
sK291: nat > ( nat > $o ) > nat > nat > nat ).
thf(func_def_347,type,
sK292: nat > nat > list_P559422087at_nat ).
thf(func_def_348,type,
sK293: nat > nat > list_P559422087at_nat > nat ).
thf(func_def_349,type,
sK294: nat > nat > nat ).
thf(func_def_350,type,
sK295: nat > nat > list_P559422087at_nat ).
thf(func_def_351,type,
sK296: nat > nat > list_P559422087at_nat ).
thf(func_def_352,type,
sK297: nat > nat > list_P559422087at_nat ).
thf(func_def_353,type,
sK298: nat > nat > list_P559422087at_nat ).
thf(func_def_354,type,
sK299: list_P559422087at_nat > nat > nat > list_P559422087at_nat ).
thf(func_def_355,type,
sK300: nat > nat > list_P559422087at_nat ).
thf(func_def_356,type,
sK301: nat > nat > nat > list_P559422087at_nat ).
thf(func_def_357,type,
sK302: nat > nat > nat > nat ).
thf(func_def_358,type,
sK303: nat > nat > ( product_prod_nat_nat > capacity ) > list_P559422087at_nat > list_P559422087at_nat ).
thf(func_def_359,type,
sK304: list_P559422087at_nat > list_P559422087at_nat > nat ).
thf(func_def_360,type,
sK305: list_P559422087at_nat > nat > nat > list_P559422087at_nat ).
thf(func_def_361,type,
sK306: list_P559422087at_nat > nat > nat > list_P559422087at_nat ).
thf(func_def_362,type,
sK307: list_P559422087at_nat > nat ).
thf(func_def_363,type,
sK308: list_P559422087at_nat ).
thf(func_def_364,type,
sK309: list_P559422087at_nat ).
thf(func_def_365,type,
sK310: nat > nat > nat > list_P559422087at_nat ).
thf(func_def_366,type,
sK311: nat > nat > nat > list_P559422087at_nat ).
thf(func_def_367,type,
sK312: list_P559422087at_nat > nat > nat > list_P559422087at_nat ).
thf(func_def_368,type,
sK313: list_P559422087at_nat ).
thf(func_def_369,type,
sK314: nat > nat > nat > nat > list_P559422087at_nat ).
thf(f1,axiom,
( ( min_dist_capacity @ c @ s @ t )
= ( plus_plus_nat @ ( plus_plus_nat @ ( size_s1990949619at_nat @ p1 ) @ one_one_nat ) @ ( size_s1990949619at_nat @ p2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_MIN_H) ).
thf(f3,axiom,
( ( ( min_dist_capacity @ c @ s @ t )
= ( plus_plus_nat @ ( size_s1990949619at_nat @ p1 ) @ ( plus_plus_nat @ one_one_nat @ ( size_s1990949619at_nat @ p2 ) ) ) )
=> ( ( min_dist_capacity @ c @ u @ t )
= ( plus_plus_nat @ one_one_nat @ ( size_s1990949619at_nat @ p2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2__092_060open_062min__dist_As_At_A_061_Alength_Ap1_A_L_A_I1_A_L_Alength_Ap2_J_A_092_060Longrightarrow_062_Amin__dist_Au_At_A_061_A1_A_L_Alength_Ap2_092_060close_062) ).
thf(f5,axiom,
( ( min_dist_capacity @ c @ s @ t )
= ( size_s1990949619at_nat @ p ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_MIN) ).
thf(f26,axiom,
! [X0: nat,X1: nat,X2: nat,X3: nat] :
( ( X0
= ( plus_plus_nat @ X1 @ X2 ) )
=> ( ( plus_plus_nat @ X3 @ X0 )
= ( plus_plus_nat @ X1 @ ( plus_plus_nat @ X3 @ X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_25_group__cancel_Oadd2) ).
thf(f29,axiom,
! [X0: nat,X1: nat,X2: nat] :
( ( plus_plus_nat @ ( plus_plus_nat @ X0 @ X1 ) @ X2 )
= ( plus_plus_nat @ X0 @ ( plus_plus_nat @ X1 @ X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_28_ab__semigroup__add__class_Oadd__ac_I1_J) ).
thf(f255,conjecture,
( ( min_dist_capacity @ c @ u @ t )
= ( plus_plus_nat @ one_one_nat @ ( size_s1990949619at_nat @ p2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f256,negated_conjecture,
( ( min_dist_capacity @ c @ u @ t )
!= ( plus_plus_nat @ one_one_nat @ ( size_s1990949619at_nat @ p2 ) ) ),
inference(negated_conjecture,[status(cth)],[f255]) ).
thf(f669,plain,
( ( plus_plus_nat @ one_one_nat @ ( size_s1990949619at_nat @ p2 ) )
!= ( min_dist_capacity @ c @ u @ t ) ),
inference(flattening,[],[f256]) ).
thf(f671,plain,
( ( ( min_dist_capacity @ c @ u @ t )
= ( plus_plus_nat @ one_one_nat @ ( size_s1990949619at_nat @ p2 ) ) )
| ( ( min_dist_capacity @ c @ s @ t )
!= ( plus_plus_nat @ ( size_s1990949619at_nat @ p1 ) @ ( plus_plus_nat @ one_one_nat @ ( size_s1990949619at_nat @ p2 ) ) ) ) ),
inference(ennf_transformation,[],[f3]) ).
thf(f681,plain,
! [X0: nat,X1: nat,X2: nat,X3: nat] :
( ( ( plus_plus_nat @ X3 @ X0 )
= ( plus_plus_nat @ X1 @ ( plus_plus_nat @ X3 @ X2 ) ) )
| ( ( plus_plus_nat @ X1 @ X2 )
!= X0 ) ),
inference(ennf_transformation,[],[f26]) ).
thf(f974,plain,
( ( min_dist_capacity @ c @ s @ t )
= ( plus_plus_nat @ ( plus_plus_nat @ ( size_s1990949619at_nat @ p1 ) @ one_one_nat ) @ ( size_s1990949619at_nat @ p2 ) ) ),
inference(cnf_transformation,[],[f1]) ).
thf(f976,plain,
( ( ( plus_plus_nat @ one_one_nat @ ( size_s1990949619at_nat @ p2 ) )
= ( min_dist_capacity @ c @ u @ t ) )
| ( ( min_dist_capacity @ c @ s @ t )
!= ( plus_plus_nat @ ( size_s1990949619at_nat @ p1 ) @ ( plus_plus_nat @ one_one_nat @ ( size_s1990949619at_nat @ p2 ) ) ) ) ),
inference(cnf_transformation,[],[f671]) ).
thf(f978,plain,
( ( min_dist_capacity @ c @ s @ t )
= ( size_s1990949619at_nat @ p ) ),
inference(cnf_transformation,[],[f5]) ).
thf(f999,plain,
! [X2: nat,X3: nat,X0: nat,X1: nat] :
( ( ( plus_plus_nat @ X3 @ X0 )
= ( plus_plus_nat @ X1 @ ( plus_plus_nat @ X3 @ X2 ) ) )
| ( ( plus_plus_nat @ X1 @ X2 )
!= X0 ) ),
inference(cnf_transformation,[],[f681]) ).
thf(f1002,plain,
! [X2: nat,X0: nat,X1: nat] :
( ( plus_plus_nat @ X0 @ ( plus_plus_nat @ X1 @ X2 ) )
= ( plus_plus_nat @ ( plus_plus_nat @ X0 @ X1 ) @ X2 ) ),
inference(cnf_transformation,[],[f29]) ).
thf(f1276,plain,
( ( plus_plus_nat @ one_one_nat @ ( size_s1990949619at_nat @ p2 ) )
!= ( min_dist_capacity @ c @ u @ t ) ),
inference(cnf_transformation,[],[f669]) ).
thf(f1482,plain,
! [X2: nat,X3: nat,X1: nat] :
( ( plus_plus_nat @ X1 @ ( plus_plus_nat @ X3 @ X2 ) )
= ( plus_plus_nat @ X3 @ ( plus_plus_nat @ X1 @ X2 ) ) ),
inference(equality_resolution,[],[f999]) ).
thf(f1509,definition,
( sF101
= ( size_s1990949619at_nat @ p2 ) ),
introduced(definition,[new_symbols(definition,[sF101])],[function_definition]) ).
thf(f1510,plain,
( ( size_s1990949619at_nat @ p2 )
= sF101 ),
inference(reorient_equations,[],[f1509]) ).
thf(f1511,definition,
( sF102
= ( plus_plus_nat @ one_one_nat @ sF101 ) ),
introduced(definition,[new_symbols(definition,[sF102])],[function_definition]) ).
thf(f1512,plain,
( ( plus_plus_nat @ one_one_nat @ sF101 )
= sF102 ),
inference(reorient_equations,[],[f1511]) ).
thf(f1513,definition,
( sF103
= ( min_dist_capacity @ c @ u @ t ) ),
introduced(definition,[new_symbols(definition,[sF103])],[function_definition]) ).
thf(f1514,plain,
( ( min_dist_capacity @ c @ u @ t )
= sF103 ),
inference(reorient_equations,[],[f1513]) ).
thf(f1515,plain,
sF102 != sF103,
inference(definition_folding,[],[f1276,f1514,f1512,f1510]) ).
thf(f3687,plain,
( ( ( min_dist_capacity @ c @ s @ t )
!= ( plus_plus_nat @ one_one_nat @ ( plus_plus_nat @ ( size_s1990949619at_nat @ p1 ) @ ( size_s1990949619at_nat @ p2 ) ) ) )
| ( ( plus_plus_nat @ one_one_nat @ ( size_s1990949619at_nat @ p2 ) )
= ( min_dist_capacity @ c @ u @ t ) ) ),
inference(forward_demodulation,[],[f976,f1482]) ).
thf(f3689,plain,
( ( min_dist_capacity @ c @ s @ t )
= ( plus_plus_nat @ ( size_s1990949619at_nat @ p1 ) @ ( plus_plus_nat @ one_one_nat @ ( size_s1990949619at_nat @ p2 ) ) ) ),
inference(forward_demodulation,[],[f974,f1002]) ).
thf(f3692,plain,
( ( ( min_dist_capacity @ c @ s @ t )
!= ( plus_plus_nat @ one_one_nat @ ( plus_plus_nat @ ( size_s1990949619at_nat @ p1 ) @ sF101 ) ) )
| ( ( plus_plus_nat @ one_one_nat @ ( size_s1990949619at_nat @ p2 ) )
= ( min_dist_capacity @ c @ u @ t ) ) ),
inference(forward_demodulation,[],[f3687,f1510]) ).
thf(f3694,plain,
( ( min_dist_capacity @ c @ s @ t )
= ( plus_plus_nat @ one_one_nat @ ( plus_plus_nat @ ( size_s1990949619at_nat @ p1 ) @ ( size_s1990949619at_nat @ p2 ) ) ) ),
inference(forward_demodulation,[],[f3689,f1482]) ).
thf(f3695,plain,
( ( ( size_s1990949619at_nat @ p )
!= ( plus_plus_nat @ one_one_nat @ ( plus_plus_nat @ ( size_s1990949619at_nat @ p1 ) @ sF101 ) ) )
| ( ( plus_plus_nat @ one_one_nat @ ( size_s1990949619at_nat @ p2 ) )
= ( min_dist_capacity @ c @ u @ t ) ) ),
inference(forward_demodulation,[],[f3692,f978]) ).
thf(f3697,plain,
( ( min_dist_capacity @ c @ s @ t )
= ( plus_plus_nat @ one_one_nat @ ( plus_plus_nat @ ( size_s1990949619at_nat @ p1 ) @ sF101 ) ) ),
inference(forward_demodulation,[],[f3694,f1510]) ).
thf(f3698,plain,
( ( ( plus_plus_nat @ one_one_nat @ ( size_s1990949619at_nat @ p2 ) )
= sF103 )
| ( ( size_s1990949619at_nat @ p )
!= ( plus_plus_nat @ one_one_nat @ ( plus_plus_nat @ ( size_s1990949619at_nat @ p1 ) @ sF101 ) ) ) ),
inference(forward_demodulation,[],[f3695,f1514]) ).
thf(f3704,definition,
( spl315_4
<=> ( ( size_s1990949619at_nat @ p )
= ( plus_plus_nat @ one_one_nat @ ( plus_plus_nat @ ( size_s1990949619at_nat @ p1 ) @ sF101 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl315_4])],[avatar_definition]) ).
thf(f3708,plain,
( ( size_s1990949619at_nat @ p )
= ( plus_plus_nat @ one_one_nat @ ( plus_plus_nat @ ( size_s1990949619at_nat @ p1 ) @ sF101 ) ) ),
inference(forward_demodulation,[],[f3697,f978]) ).
thf(f3709,plain,
( ( ( plus_plus_nat @ one_one_nat @ sF101 )
= sF103 )
| ( ( size_s1990949619at_nat @ p )
!= ( plus_plus_nat @ one_one_nat @ ( plus_plus_nat @ ( size_s1990949619at_nat @ p1 ) @ sF101 ) ) ) ),
inference(forward_demodulation,[],[f3698,f1510]) ).
thf(f3710,plain,
spl315_4,
inference(avatar_split_clause,[],[f3708,f3704]) ).
thf(f3711,plain,
( ( sF102 = sF103 )
| ( ( size_s1990949619at_nat @ p )
!= ( plus_plus_nat @ one_one_nat @ ( plus_plus_nat @ ( size_s1990949619at_nat @ p1 ) @ sF101 ) ) ) ),
inference(forward_demodulation,[],[f3709,f1512]) ).
thf(f3712,plain,
( ( size_s1990949619at_nat @ p )
!= ( plus_plus_nat @ one_one_nat @ ( plus_plus_nat @ ( size_s1990949619at_nat @ p1 ) @ sF101 ) ) ),
inference(forward_subsumption_resolution,[],[f3711,f1515]) ).
thf(f3713,plain,
~ spl315_4,
inference(avatar_split_clause,[],[f3712,f3704]) ).
cnf(s11,plain,
spl315_4,
inference(sat_conversion,[],[f3710]) ).
cnf(s12,plain,
~ spl315_4,
inference(sat_conversion,[],[f3713]) ).
cnf(s13,plain,
$false,
inference(rat,[],[s11,s12]) ).
thf(f3714,plain,
$false,
inference(avatar_sat_refutation,[],[s13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP053^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 % Computer : n008.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.21 % CPULimit : 300
% 0.08/0.21 % WCLimit : 300
% 0.08/0.21 % DateTime : Tue Sep 29 19:44:25 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.24 Running first-order model finding
% 0.08/0.24 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.48/0.58 % (3639017)Will run a generic schedule for satisfiability detection.
% 1.48/0.58 % (3639023)% WARNING: option uhcvi not known.
% 1.48/0.58 % (3639026)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1273454166:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.48/0.58 % (3639026)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.48/0.58 % (3639023)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1057217608:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.48/0.58 % (3639028)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3202709915:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.48/0.58 % (3639024)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2472551483:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.48/0.58 % (3639022)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3019521768_2999 on theBenchmark for (2999ds/0Mi)
% 1.48/0.58 % (3639025)dis+10_1_sil=32000:sp=arity:random_seed=526966040:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.48/0.58 % (3639027)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1737410356:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.48/0.58 % (3639026)Instruction limit reached!
% 1.48/0.58 % (3639026)------------------------------
% 1.48/0.58 % (3639026)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.58 % (3639026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.58 % (3639026)CaDiCaL version: 2.1.3
% 1.48/0.58 % (3639026)Termination reason: Instruction limit
% 1.48/0.58 % (3639026)Termination phase: Saturation
% 1.48/0.58 % (3639026)Time elapsed: 0.026 s
% 1.48/0.58 % (3639026)Peak memory usage: 13 MB
% 1.48/0.58 % (3639026)Instructions burned: 116 (million)
% 1.48/0.58 % (3639023)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.48/0.58 % (3639036)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=691791428:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.48/0.58 % Exception at run slice level
% 1.48/0.58 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.48/0.59 % (3639038)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3174834802:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.48/0.59 % (3639023)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 1.48/0.59 % Exception at run slice level
% 1.48/0.59 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.48/0.59 % (3639038)Instruction limit reached!
% 1.48/0.59 % (3639038)------------------------------
% 1.48/0.59 % (3639038)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.59 % (3639038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.59 % (3639038)CaDiCaL version: 2.1.3
% 1.48/0.59 % (3639038)Termination reason: Instruction limit
% 1.48/0.59 % (3639038)Termination phase: Saturation
% 1.48/0.59 % (3639038)Time elapsed: 0.030 s
% 1.48/0.59 % (3639038)Peak memory usage: 13 MB
% 1.48/0.59 % (3639038)Instructions burned: 134 (million)
% 1.48/0.59 % (3639025)Instruction limit reached!
% 1.48/0.59 % (3639025)------------------------------
% 1.48/0.59 % (3639025)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.59 % (3639025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.59 % (3639025)CaDiCaL version: 2.1.3
% 1.48/0.59 % (3639025)Termination reason: Instruction limit
% 1.48/0.59 % (3639025)Termination phase: Saturation
% 1.48/0.59 % (3639025)Time elapsed: 0.088 s
% 1.48/0.59 % (3639025)Peak memory usage: 12 MB
% 1.48/0.59 % (3639025)Instructions burned: 103 (million)
% 1.48/0.59 % (3639041)ott-21_1_sil=16000:fs=off:random_seed=2391414413:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.48/0.59 % (3639027)Instruction limit reached!
% 1.48/0.59 % (3639027)------------------------------
% 1.48/0.59 % (3639027)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.59 % (3639027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.59 % (3639027)CaDiCaL version: 2.1.3
% 1.48/0.59 % (3639027)Termination reason: Instruction limit
% 1.48/0.59 % (3639027)Termination phase: Saturation
% 1.48/0.59 % (3639027)Time elapsed: 0.091 s
% 1.48/0.59 % (3639027)Peak memory usage: 13 MB
% 1.48/0.59 % (3639027)Instructions burned: 132 (million)
% 1.48/0.59 % (3639040)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=4028469290:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.48/0.59 % (3639042)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2237690580:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.48/0.59 % (3639044)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=98543777:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 1.48/0.59 % (3639028)Instruction limit reached!
% 1.48/0.59 % (3639028)------------------------------
% 1.48/0.59 % (3639028)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.59 % (3639028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.59 % (3639028)CaDiCaL version: 2.1.3
% 1.48/0.59 % (3639028)Termination reason: Instruction limit
% 1.48/0.59 % (3639028)Termination phase: Saturation
% 1.48/0.59 % (3639028)Time elapsed: 0.127 s
% 1.48/0.59 % (3639028)Peak memory usage: 13 MB
% 1.48/0.59 % (3639028)Instructions burned: 159 (million)
% 1.48/0.59 % (3639040)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.48/0.59 % (3639041)Instruction limit reached!
% 1.48/0.59 % (3639041)------------------------------
% 1.48/0.59 % (3639041)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.59 % (3639041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.59 % (3639041)CaDiCaL version: 2.1.3
% 1.48/0.59 % (3639041)Termination reason: Instruction limit
% 1.48/0.59 % (3639041)Termination phase: Saturation
% 1.48/0.59 % (3639041)Time elapsed: 0.042 s
% 1.48/0.59 % (3639041)Peak memory usage: 13 MB
% 1.48/0.59 % (3639041)Instructions burned: 182 (million)
% 1.48/0.59 % (3639040)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 1.48/0.59 % (3639048)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2300793392:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 1.48/0.59 % (3639049)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4027297124:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 1.48/0.59 % Exception at run slice level
% 1.48/0.59 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.48/0.59 % (3639052)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3552434239:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 1.48/0.59 % (3639052)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.48/0.59 % Exception at run slice level
% 1.48/0.59 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.48/0.59 % (3639054)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3276195381:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 1.48/0.59 % (3639054)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.48/0.59 % (3639048) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3639017-3639048"...
% 1.48/0.59 % (3639048)...printing done.
% 1.48/0.59 % (3639048)Refutation found. Thanks to Tanya!
% 1.48/0.59 % SZS status Theorem for theBenchmark
% 1.48/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.48/0.59 % (3639048)------------------------------
% 1.48/0.59 % (3639048)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.59 % (3639048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.59 % (3639048)CaDiCaL version: 2.1.3
% 1.48/0.59 % (3639048)Termination reason: Refutation
% 1.48/0.59 % (3639048)Time elapsed: 0.122 s
% 1.48/0.59 % (3639048)Peak memory usage: 14 MB
% 1.48/0.59 % (3639048)Instructions burned: 197 (million)
% 1.48/0.59 % (3639017)Success in time 0.342 s
% 1.48/0.59 % Vampire exiting
%------------------------------------------------------------------------------