%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP153^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:08:34 AM UTC 2026
% Result : Theorem 0.89s 0.60s
% Output : Refutation 0.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 43 ( 11 unt; 0 typ; 4 def)
% Number of atoms : 136 ( 29 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 180 ( 29 ~; 21 |; 7 &; 116 @)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 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 : 213 ( 210 usr; 15 con; 0-4 aty)
% Number of variables : 10 ( 0 sgn 10 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
set_Pr1295299783od_a_a: $tType ).
thf(type_def_6,type,
produc1990712039od_a_a: $tType ).
thf(type_def_7,type,
set_Pr1948701895od_a_a: $tType ).
thf(type_def_8,type,
produc1572603623od_a_a: $tType ).
thf(type_def_9,type,
set_Pr2045688071_set_a: $tType ).
thf(type_def_10,type,
produc1691597095_set_a: $tType ).
thf(type_def_11,type,
set_Product_prod_a_a: $tType ).
thf(type_def_12,type,
product_prod_a_a: $tType ).
thf(type_def_13,type,
set_set_a: $tType ).
thf(type_def_14,type,
set_a: $tType ).
thf(type_def_15,type,
a: $tType ).
thf(type_def_16,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
bNF_Ca850758276_set_a: set_Product_prod_a_a > ( a > set_a ) > $o ).
thf(func_def_1,type,
uminus1440301054od_a_a: set_Product_prod_a_a > set_Product_prod_a_a ).
thf(func_def_2,type,
uminus_uminus_set_a: set_a > set_a ).
thf(func_def_3,type,
order_653178931r_on_a: set_a > set_Product_prod_a_a > $o ).
thf(func_def_4,type,
order_491428350od_a_a: set_Pr1948701895od_a_a > set_Pr1295299783od_a_a > $o ).
thf(func_def_5,type,
order_359341630od_a_a: set_Product_prod_a_a > set_Pr1948701895od_a_a > $o ).
thf(func_def_6,type,
order_816746613_set_a: set_set_a > set_Pr2045688071_set_a > $o ).
thf(func_def_7,type,
order_preorder_on_a: set_a > set_Product_prod_a_a > $o ).
thf(func_def_8,type,
order_under_a: set_Product_prod_a_a > a > set_a ).
thf(func_def_9,type,
bot_bo1293121322_a_a_o: product_prod_a_a > $o ).
thf(func_def_10,type,
bot_bot_a_o: a > $o ).
thf(func_def_11,type,
bot_bo1519632275_set_a: produc1691597095_set_a ).
thf(func_def_12,type,
bot_bo1116205875od_a_a: set_Pr1948701895od_a_a ).
thf(func_def_13,type,
bot_bo2131659635od_a_a: set_Product_prod_a_a ).
thf(func_def_14,type,
bot_bot_set_set_a: set_set_a ).
thf(func_def_15,type,
bot_bot_set_a: set_a ).
thf(func_def_16,type,
ord_le486764743_set_a: produc1691597095_set_a > produc1691597095_set_a > $o ).
thf(func_def_17,type,
ord_le456379495od_a_a: set_Pr1948701895od_a_a > set_Pr1948701895od_a_a > $o ).
thf(func_def_18,type,
ord_le1824328871od_a_a: set_Product_prod_a_a > set_Product_prod_a_a > $o ).
thf(func_def_19,type,
ord_le318720350_set_a: set_set_a > set_set_a > $o ).
thf(func_def_20,type,
ord_less_eq_set_a: set_a > set_a > $o ).
thf(func_def_21,type,
order_Greatest_set_a: ( set_a > $o ) > set_a ).
thf(func_def_22,type,
prefer1867335523od_a_a: produc1572603623od_a_a > set_Pr1948701895od_a_a > set_Pr1295299783od_a_a > set_Pr1948701895od_a_a ).
thf(func_def_23,type,
prefer74720675od_a_a: product_prod_a_a > set_Product_prod_a_a > set_Pr1948701895od_a_a > set_Product_prod_a_a ).
thf(func_def_24,type,
prefer270414042_set_a: set_a > set_set_a > set_Pr2045688071_set_a > set_set_a ).
thf(func_def_25,type,
prefer436369274d_as_a: a > set_a > set_Product_prod_a_a > set_a ).
thf(func_def_26,type,
prefer55414563od_a_a: produc1572603623od_a_a > set_Pr1948701895od_a_a > set_Pr1295299783od_a_a > set_Pr1948701895od_a_a ).
thf(func_def_27,type,
prefer477097315od_a_a: product_prod_a_a > set_Product_prod_a_a > set_Pr1948701895od_a_a > set_Product_prod_a_a ).
thf(func_def_28,type,
prefer1203288218_set_a: set_a > set_set_a > set_Pr2045688071_set_a > set_set_a ).
thf(func_def_29,type,
prefer161218362good_a: a > set_a > set_Product_prod_a_a > set_a ).
thf(func_def_30,type,
prefer926864306od_a_a: produc1572603623od_a_a > set_Pr1948701895od_a_a > set_Pr1295299783od_a_a > set_Pr1948701895od_a_a ).
thf(func_def_31,type,
prefer1498087410od_a_a: product_prod_a_a > set_Product_prod_a_a > set_Pr1948701895od_a_a > set_Product_prod_a_a ).
thf(func_def_32,type,
prefer1671525929_set_a: set_a > set_set_a > set_Pr2045688071_set_a > set_set_a ).
thf(func_def_33,type,
prefer1676310729than_a: a > set_a > set_Product_prod_a_a > set_a ).
thf(func_def_34,type,
prefer1409946857od_a_a: set_Pr1948701895od_a_a > set_Pr1295299783od_a_a > $o ).
thf(func_def_35,type,
prefer1338892073od_a_a: set_Product_prod_a_a > set_Pr1948701895od_a_a > $o ).
thf(func_def_36,type,
prefer1710114912_set_a: set_set_a > set_Pr2045688071_set_a > $o ).
thf(func_def_37,type,
prefer1292084992ence_a: set_a > set_Product_prod_a_a > $o ).
thf(func_def_38,type,
prefer1828051771od_a_a: set_Pr1948701895od_a_a > set_Pr1295299783od_a_a > $o ).
thf(func_def_39,type,
prefer697821563od_a_a: set_Product_prod_a_a > set_Pr1948701895od_a_a > $o ).
thf(func_def_40,type,
prefer484977842_set_a: set_set_a > set_Pr2045688071_set_a > $o ).
thf(func_def_41,type,
prefer719835986ence_a: set_a > set_Product_prod_a_a > $o ).
thf(func_def_42,type,
prefer1064779160od_a_a: set_Product_prod_a_a > set_Pr1948701895od_a_a > $o ).
thf(func_def_43,type,
prefer580340847ioms_a: set_a > set_Product_prod_a_a > $o ).
thf(func_def_44,type,
produc1935643479od_a_a: produc1572603623od_a_a > produc1572603623od_a_a > produc1990712039od_a_a ).
thf(func_def_45,type,
produc1474507607od_a_a: product_prod_a_a > product_prod_a_a > produc1572603623od_a_a ).
thf(func_def_46,type,
produc1928581911_set_a: set_a > set_a > produc1691597095_set_a ).
thf(func_def_47,type,
product_Pair_a_a: a > a > product_prod_a_a ).
thf(func_def_48,type,
produc1926412547_set_a: produc1691597095_set_a > set_a ).
thf(func_def_49,type,
product_fst_a_a: product_prod_a_a > a ).
thf(func_def_50,type,
produc918972485_set_a: produc1691597095_set_a > set_a ).
thf(func_def_51,type,
product_snd_a_a: product_prod_a_a > a ).
thf(func_def_52,type,
product_swap_a_a: product_prod_a_a > product_prod_a_a ).
thf(func_def_53,type,
domain_a_a: set_Product_prod_a_a > set_a ).
thf(func_def_54,type,
id_on_1182990020od_a_a: set_Product_prod_a_a > set_Pr1948701895od_a_a ).
thf(func_def_55,type,
id_on_a: set_a > set_Product_prod_a_a ).
thf(func_def_56,type,
range_a_a: set_Product_prod_a_a > set_a ).
thf(func_def_57,type,
refl_o198693862od_a_a: set_Pr1948701895od_a_a > set_Pr1295299783od_a_a > $o ).
thf(func_def_58,type,
refl_o1298442278od_a_a: set_Product_prod_a_a > set_Pr1948701895od_a_a > $o ).
thf(func_def_59,type,
refl_on_set_a: set_set_a > set_Pr2045688071_set_a > $o ).
thf(func_def_60,type,
refl_on_a: set_a > set_Product_prod_a_a > $o ).
thf(func_def_61,type,
total_1340260971od_a_a: set_Pr1948701895od_a_a > set_Pr1295299783od_a_a > $o ).
thf(func_def_62,type,
total_1490170027od_a_a: set_Product_prod_a_a > set_Pr1948701895od_a_a > $o ).
thf(func_def_63,type,
total_on_set_a: set_set_a > set_Pr2045688071_set_a > $o ).
thf(func_def_64,type,
total_on_a: set_a > set_Product_prod_a_a > $o ).
thf(func_def_65,type,
trans_a: set_Product_prod_a_a > $o ).
thf(func_def_66,type,
collec1635618130od_a_a: ( produc1572603623od_a_a > $o ) > set_Pr1948701895od_a_a ).
thf(func_def_67,type,
collec645855634od_a_a: ( product_prod_a_a > $o ) > set_Product_prod_a_a ).
thf(func_def_68,type,
collect_a: ( a > $o ) > set_a ).
thf(func_def_69,type,
insert1116662519od_a_a: product_prod_a_a > set_Product_prod_a_a > set_Product_prod_a_a ).
thf(func_def_70,type,
insert_a: a > set_a > set_a ).
thf(func_def_71,type,
is_empty_a: set_a > $o ).
thf(func_def_72,type,
is_sin877026331od_a_a: set_Product_prod_a_a > $o ).
thf(func_def_73,type,
is_singleton_a: set_a > $o ).
thf(func_def_74,type,
the_elem_a: set_a > a ).
thf(func_def_75,type,
member1899387664od_a_a: produc1990712039od_a_a > set_Pr1295299783od_a_a > $o ).
thf(func_def_76,type,
member2057358096od_a_a: produc1572603623od_a_a > set_Pr1948701895od_a_a > $o ).
thf(func_def_77,type,
member593450832_set_a: produc1691597095_set_a > set_Pr2045688071_set_a > $o ).
thf(func_def_78,type,
member449909584od_a_a: product_prod_a_a > set_Product_prod_a_a > $o ).
thf(func_def_79,type,
member_set_a: set_a > set_set_a > $o ).
thf(func_def_80,type,
member_a: a > set_a > $o ).
thf(func_def_81,type,
carrier: set_a ).
thf(func_def_82,type,
relation: set_Product_prod_a_a ).
thf(func_def_83,type,
y: a ).
thf(func_def_84,type,
z: a ).
thf(func_def_88,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_89,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_90,type,
vAND: $o > $o > $o ).
thf(func_def_91,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_92,type,
vIMP: $o > $o > $o ).
thf(func_def_93,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_94,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_95,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_96,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_97,type,
vNOT: $o > $o ).
thf(func_def_98,type,
vOR: $o > $o > $o ).
thf(func_def_99,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_100,type,
sK0: ( set_a > set_a ) > set_a ).
thf(func_def_101,type,
sK1: ( set_a > set_a ) > set_a ).
thf(func_def_102,type,
sK2: ( produc1691597095_set_a > $o ) > set_a ).
thf(func_def_103,type,
sK3: ( produc1691597095_set_a > $o ) > set_a ).
thf(func_def_104,type,
sK4: ( produc1691597095_set_a > $o ) > set_a ).
thf(func_def_105,type,
sK5: ( produc1691597095_set_a > $o ) > set_a ).
thf(func_def_106,type,
sK6: ( product_prod_a_a > $o ) > a ).
thf(func_def_107,type,
sK7: ( product_prod_a_a > $o ) > a ).
thf(func_def_108,type,
sK8: product_prod_a_a > a > a ).
thf(func_def_109,type,
sK9: a > set_Product_prod_a_a > a ).
thf(func_def_110,type,
sK10: set_Pr1295299783od_a_a > set_Pr1948701895od_a_a > produc1572603623od_a_a ).
thf(func_def_111,type,
sK11: set_Pr1295299783od_a_a > set_Pr1948701895od_a_a > produc1572603623od_a_a ).
thf(func_def_112,type,
sK12: set_Pr1295299783od_a_a > set_Pr1948701895od_a_a > produc1572603623od_a_a ).
thf(func_def_113,type,
sK13: set_Pr1295299783od_a_a > set_Pr1948701895od_a_a > produc1572603623od_a_a ).
thf(func_def_114,type,
sK14: set_set_a > set_Pr2045688071_set_a > set_a ).
thf(func_def_115,type,
sK15: set_set_a > set_Pr2045688071_set_a > set_a ).
thf(func_def_116,type,
sK16: set_set_a > set_Pr2045688071_set_a > set_a ).
thf(func_def_117,type,
sK17: set_set_a > set_Pr2045688071_set_a > set_a ).
thf(func_def_118,type,
sK18: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_119,type,
sK19: ( set_a > set_a ) > set_a ).
thf(func_def_120,type,
sK20: ( set_a > set_a ) > set_a ).
thf(func_def_121,type,
sK21: set_Product_prod_a_a > set_Pr1948701895od_a_a > product_prod_a_a ).
thf(func_def_122,type,
sK22: set_Product_prod_a_a > set_Pr1948701895od_a_a > product_prod_a_a ).
thf(func_def_123,type,
sK23: product_prod_a_a > set_a > a ).
thf(func_def_124,type,
sK24: ( set_a > $o ) > set_a > set_a ).
thf(func_def_125,type,
sK25: ( set_a > $o ) > ( set_a > $o ) > set_a ).
thf(func_def_126,type,
sK26: a > set_Product_prod_a_a > a ).
thf(func_def_127,type,
sK27: produc1691597095_set_a > set_a ).
thf(func_def_128,type,
sK28: produc1691597095_set_a > set_a ).
thf(func_def_129,type,
sK29: produc1572603623od_a_a > set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_130,type,
sK30: product_prod_a_a > set_Product_prod_a_a > set_Product_prod_a_a ).
thf(func_def_131,type,
sK31: ( a > $o ) > a ).
thf(func_def_132,type,
sK32: set_a > set_Product_prod_a_a > a ).
thf(func_def_133,type,
sK33: set_a > set_Product_prod_a_a > a ).
thf(func_def_134,type,
sK34: set_a > set_Product_prod_a_a > a ).
thf(func_def_135,type,
sK35: set_a > set_Product_prod_a_a > a ).
thf(func_def_136,type,
sK36: product_prod_a_a > a > a ).
thf(func_def_137,type,
sK37: set_Product_prod_a_a > a > a ).
thf(func_def_138,type,
sK38: set_Product_prod_a_a > a > a ).
thf(func_def_139,type,
sK39: set_Product_prod_a_a > ( a > $o ) > a ).
thf(func_def_140,type,
sK40: set_Product_prod_a_a > ( a > $o ) > a ).
thf(func_def_141,type,
sK41: set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_142,type,
sK42: set_Product_prod_a_a > a ).
thf(func_def_143,type,
sK43: set_Product_prod_a_a > a ).
thf(func_def_144,type,
sK44: set_Product_prod_a_a > a ).
thf(func_def_145,type,
sK45: set_Pr2045688071_set_a > set_set_a > set_a ).
thf(func_def_146,type,
sK46: set_Pr2045688071_set_a > set_set_a > set_a ).
thf(func_def_147,type,
sK47: set_a > a ).
thf(func_def_148,type,
sK48: set_Product_prod_a_a > set_Pr1948701895od_a_a > product_prod_a_a ).
thf(func_def_149,type,
sK49: set_Product_prod_a_a > set_Pr1948701895od_a_a > product_prod_a_a ).
thf(func_def_150,type,
sK50: set_Product_prod_a_a > set_Pr1948701895od_a_a > product_prod_a_a ).
thf(func_def_151,type,
sK51: set_Product_prod_a_a > set_Pr1948701895od_a_a > product_prod_a_a ).
thf(func_def_152,type,
sK52: set_a > a > set_a ).
thf(func_def_153,type,
sK53: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_154,type,
sK54: ( produc1572603623od_a_a > $o ) > product_prod_a_a ).
thf(func_def_155,type,
sK55: ( produc1572603623od_a_a > $o ) > product_prod_a_a ).
thf(func_def_156,type,
sK56: ( produc1572603623od_a_a > $o ) > product_prod_a_a ).
thf(func_def_157,type,
sK57: ( produc1572603623od_a_a > $o ) > a ).
thf(func_def_158,type,
sK58: ( produc1572603623od_a_a > $o ) > a ).
thf(func_def_159,type,
sK59: a > set_a > set_a > a > set_a ).
thf(func_def_160,type,
sK60: set_a > a ).
thf(func_def_161,type,
sK61: set_a > a ).
thf(func_def_162,type,
sK62: set_a > a ).
thf(func_def_163,type,
sK63: set_Product_prod_a_a > set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_164,type,
sK64: set_a > ( set_a > $o ) > set_a ).
thf(func_def_165,type,
sK65: ( set_a > set_a ) > set_a ).
thf(func_def_166,type,
sK66: ( set_a > set_a ) > set_a ).
thf(func_def_167,type,
sK67: product_prod_a_a > set_Product_prod_a_a > set_Product_prod_a_a > product_prod_a_a > set_Product_prod_a_a ).
thf(func_def_168,type,
sK68: ( set_a > set_a ) > set_a ).
thf(func_def_169,type,
sK69: ( set_a > set_a ) > set_a ).
thf(func_def_170,type,
sK70: set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_171,type,
sK71: set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_172,type,
sK72: ( product_prod_a_a > $o ) > a ).
thf(func_def_173,type,
sK73: ( product_prod_a_a > $o ) > a ).
thf(func_def_174,type,
sK74: set_Pr1948701895od_a_a > set_Pr1295299783od_a_a > produc1572603623od_a_a ).
thf(func_def_175,type,
sK75: set_Pr1948701895od_a_a > set_Pr1295299783od_a_a > produc1572603623od_a_a ).
thf(func_def_176,type,
sK76: set_Product_prod_a_a > set_Product_prod_a_a > a ).
thf(func_def_177,type,
sK77: set_Product_prod_a_a > set_Product_prod_a_a > a ).
thf(func_def_178,type,
sK78: product_prod_a_a > a ).
thf(func_def_179,type,
sK79: product_prod_a_a > a ).
thf(func_def_180,type,
sK80: ( product_prod_a_a > $o ) > ( product_prod_a_a > $o ) > product_prod_a_a ).
thf(func_def_181,type,
sK81: ( produc1572603623od_a_a > $o ) > product_prod_a_a ).
thf(func_def_182,type,
sK82: ( produc1572603623od_a_a > $o ) > product_prod_a_a ).
thf(func_def_183,type,
sK83: ( a > $o ) > a ).
thf(func_def_184,type,
sK84: set_Product_prod_a_a > a > a ).
thf(func_def_185,type,
sK85: produc1572603623od_a_a > a ).
thf(func_def_186,type,
sK86: produc1572603623od_a_a > a ).
thf(func_def_187,type,
sK87: produc1572603623od_a_a > product_prod_a_a ).
thf(func_def_188,type,
sK88: produc1572603623od_a_a > product_prod_a_a ).
thf(func_def_189,type,
sK89: produc1572603623od_a_a > product_prod_a_a ).
thf(func_def_190,type,
sK90: set_a > set_Product_prod_a_a > a ).
thf(func_def_191,type,
sK91: set_a > set_Product_prod_a_a > a ).
thf(func_def_192,type,
sK92: set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_193,type,
sK93: produc1572603623od_a_a > product_prod_a_a ).
thf(func_def_194,type,
sK94: produc1572603623od_a_a > product_prod_a_a ).
thf(func_def_195,type,
sK95: set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_196,type,
sK96: set_a > a > set_a ).
thf(func_def_197,type,
sK97: product_prod_a_a > set_Product_prod_a_a > set_Product_prod_a_a ).
thf(func_def_198,type,
sK98: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_199,type,
sK99: product_prod_a_a > a ).
thf(func_def_200,type,
sK100: product_prod_a_a > a ).
thf(func_def_201,type,
sK101: set_a > a ).
thf(func_def_202,type,
sK102: set_a > a ).
thf(func_def_203,type,
sK103: set_a > set_a > a ).
thf(func_def_204,type,
sK104: produc1691597095_set_a > set_a ).
thf(func_def_205,type,
sK105: produc1691597095_set_a > set_a ).
thf(func_def_206,type,
sK106: set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_207,type,
sK107: set_a > a ).
thf(f1,axiom,
( ( member449909584od_a_a @ ( product_Pair_a_a @ y @ z ) @ relation )
& ( member449909584od_a_a @ ( product_Pair_a_a @ z @ y ) @ relation ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_assms) ).
thf(f9,axiom,
! [X1: a,X0: a] :
( ( member449909584od_a_a @ ( product_Pair_a_a @ X0 @ X1 ) @ relation )
=> ( member_a @ X0 @ carrier ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8_not__outside) ).
thf(f356,conjecture,
( ( member_a @ y @ carrier )
& ( member_a @ z @ carrier ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f357,negated_conjecture,
~ ( ( member_a @ y @ carrier )
& ( member_a @ z @ carrier ) ),
inference(negated_conjecture,[status(cth)],[f356]) ).
thf(f779,plain,
( ( member449909584od_a_a @ ( product_Pair_a_a @ y @ z ) @ relation )
& ( member449909584od_a_a @ ( product_Pair_a_a @ z @ y ) @ relation ) ),
inference(rectify,[],[f1]) ).
thf(f780,plain,
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ z @ y ) @ relation )
= $true )
& ( ( member449909584od_a_a @ ( product_Pair_a_a @ y @ z ) @ relation )
= $true ) ),
inference(fool_elimination,[],[f779]) ).
thf(f905,plain,
! [X0: a,X1: a] :
( ( member449909584od_a_a @ ( product_Pair_a_a @ X1 @ X0 ) @ relation )
=> ( member_a @ X1 @ carrier ) ),
inference(rectify,[],[f9]) ).
thf(f906,plain,
! [X0: a,X1: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ X1 @ X0 ) @ relation )
= $true )
=> ( ( member_a @ X1 @ carrier )
= $true ) ),
inference(fool_elimination,[],[f905]) ).
thf(f927,plain,
~ ( ( member_a @ y @ carrier )
& ( member_a @ z @ carrier ) ),
inference(rectify,[],[f357]) ).
thf(f928,plain,
~ ( ( ( member_a @ y @ carrier )
= $true )
& ( ( member_a @ z @ carrier )
= $true ) ),
inference(fool_elimination,[],[f927]) ).
thf(f1058,plain,
( ( ( member_a @ z @ carrier )
!= $true )
| ( ( member_a @ y @ carrier )
!= $true ) ),
inference(ennf_transformation,[],[f928]) ).
thf(f1183,plain,
! [X0: a,X1: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ X1 @ X0 ) @ relation )
!= $true )
| ( ( member_a @ X1 @ carrier )
= $true ) ),
inference(ennf_transformation,[],[f906]) ).
thf(f1785,plain,
( ( ( member_a @ y @ carrier )
!= $true )
| ( ( member_a @ z @ carrier )
!= $true ) ),
inference(cnf_transformation,[],[f1058]) ).
thf(f2042,plain,
! [X0: a,X1: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ X1 @ X0 ) @ relation )
!= $true )
| ( ( member_a @ X1 @ carrier )
= $true ) ),
inference(cnf_transformation,[],[f1183]) ).
thf(f2161,plain,
( ( member449909584od_a_a @ ( product_Pair_a_a @ y @ z ) @ relation )
= $true ),
inference(cnf_transformation,[],[f780]) ).
thf(f2162,plain,
( ( member449909584od_a_a @ ( product_Pair_a_a @ z @ y ) @ relation )
= $true ),
inference(cnf_transformation,[],[f780]) ).
thf(f2446,definition,
( spl108_8
<=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ z @ y ) @ relation )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl108_8])],[avatar_definition]) ).
thf(f2448,plain,
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ z @ y ) @ relation )
= $true )
| ~ spl108_8 ),
inference(avatar_component_clause,[],[f2446]) ).
thf(f2449,plain,
spl108_8,
inference(avatar_split_clause,[],[f2162,f2446]) ).
thf(f2461,definition,
( spl108_11
<=> ( ( member_a @ z @ carrier )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl108_11])],[avatar_definition]) ).
thf(f2463,plain,
( ( ( member_a @ z @ carrier )
!= $true )
| spl108_11 ),
inference(avatar_component_clause,[],[f2461]) ).
thf(f2465,definition,
( spl108_12
<=> ( ( member_a @ y @ carrier )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl108_12])],[avatar_definition]) ).
thf(f2468,plain,
( ~ spl108_11
| ~ spl108_12 ),
inference(avatar_split_clause,[],[f1785,f2465,f2461]) ).
thf(f2593,definition,
( spl108_38
<=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ y @ z ) @ relation )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl108_38])],[avatar_definition]) ).
thf(f2595,plain,
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ y @ z ) @ relation )
= $true )
| ~ spl108_38 ),
inference(avatar_component_clause,[],[f2593]) ).
thf(f2596,plain,
spl108_38,
inference(avatar_split_clause,[],[f2161,f2593]) ).
thf(f2657,plain,
( ( ( member_a @ z @ carrier )
= $true )
| ( $true != $true )
| ~ spl108_8 ),
inference(superposition,[],[f2042,f2448]) ).
thf(f2658,plain,
( ( $true != $true )
| ( ( member_a @ y @ carrier )
= $true )
| ~ spl108_38 ),
inference(superposition,[],[f2042,f2595]) ).
thf(f2659,plain,
( ( ( member_a @ z @ carrier )
= $true )
| ~ spl108_8 ),
inference(trivial_inequality_removal,[],[f2657]) ).
thf(f2660,plain,
( ( ( member_a @ y @ carrier )
= $true )
| ~ spl108_38 ),
inference(trivial_inequality_removal,[],[f2658]) ).
thf(f2661,plain,
( $false
| ~ spl108_8
| spl108_11 ),
inference(forward_subsumption_resolution,[],[f2659,f2463]) ).
thf(f2662,plain,
( ~ spl108_8
| spl108_11 ),
inference(avatar_contradiction_clause,[],[f2661]) ).
thf(f2663,plain,
( spl108_12
| ~ spl108_38 ),
inference(avatar_split_clause,[],[f2660,f2593,f2465]) ).
cnf(s10,plain,
spl108_8,
inference(sat_conversion,[],[f2449]) ).
cnf(s13,plain,
( ~ spl108_11
| ~ spl108_12 ),
inference(sat_conversion,[],[f2468]) ).
cnf(s41,plain,
spl108_38,
inference(sat_conversion,[],[f2596]) ).
cnf(s56,plain,
( ~ spl108_8
| spl108_11 ),
inference(sat_conversion,[],[f2662]) ).
cnf(s57,plain,
( spl108_12
| ~ spl108_38 ),
inference(sat_conversion,[],[f2663]) ).
cnf(s58,plain,
spl108_12,
inference(rat,[],[s57,s41]) ).
cnf(s59,plain,
~ spl108_11,
inference(rat,[],[s13,s58]) ).
cnf(s60,plain,
~ spl108_8,
inference(rat,[],[s56,s59]) ).
cnf(s61,plain,
$false,
inference(rat,[],[s10,s60]) ).
thf(f2664,plain,
$false,
inference(avatar_sat_refutation,[],[s61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ITP153^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.26 % Computer : n011.cluster.edu
% 0.11/0.26 % Model : x86_64 x86_64
% 0.11/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.26 % Memory : 8046.5625MB
% 0.11/0.26 % OS : Linux 6.8.0-71-generic
% 0.11/0.26 % CPULimit : 300
% 0.11/0.26 % WCLimit : 300
% 0.11/0.26 % DateTime : Tue Sep 29 20:02:31 UTC 2026
% 0.11/0.26 % CPUTime :
% 0.11/0.26 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.31 Running higher-order theorem proving
% 0.25/0.38 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.89/0.57 % (571665)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.89/0.57 % (571675)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=932636687:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.89/0.57 % (571671)lrs+10_16_si=on:nwc=1.5:random_seed=1358524129:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.89/0.57 % (571676)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.89/0.57 % (571676)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.89/0.57 % (571671)Instruction limit reached!
% 0.89/0.57 % (571671)------------------------------
% 0.89/0.57 % (571671)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.57 % (571671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.57 % (571671)CaDiCaL version: 2.1.3
% 0.89/0.57 % (571671)Termination reason: Instruction limit
% 0.89/0.57 % (571671)Termination phase: shuffling
% 0.89/0.57 % (571671)Time elapsed: 0.009 s
% 0.89/0.57 % (571671)Peak memory usage: 11 MB
% 0.89/0.57 % (571671)Instructions burned: 18 (million)
% 0.89/0.57 % (571676)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=552761536:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.89/0.57 % (571672)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=468292030:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.89/0.57 % (571674)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2369902897:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.89/0.57 % (571670)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1664866305:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.89/0.57 % (571673)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=3427041387:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.89/0.57 % (571672)Instruction limit reached!
% 0.89/0.57 % (571672)------------------------------
% 0.89/0.57 % (571672)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.57 % (571672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.57 % (571672)CaDiCaL version: 2.1.3
% 0.89/0.57 % (571672)Termination reason: Instruction limit
% 0.89/0.57 % (571672)Termination phase: shuffling
% 0.89/0.57 % (571672)Time elapsed: 0.003 s
% 0.89/0.57 % (571672)Peak memory usage: 10 MB
% 0.89/0.57 % (571672)Instructions burned: 3 (million)
% 0.89/0.57 % (571674)Instruction limit reached!
% 0.89/0.57 % (571674)------------------------------
% 0.89/0.57 % (571674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.57 % (571674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.57 % (571674)CaDiCaL version: 2.1.3
% 0.89/0.57 % (571674)Termination reason: Instruction limit
% 0.89/0.57 % (571674)Termination phase: shuffling
% 0.89/0.57 % (571674)Time elapsed: 0.020 s
% 0.89/0.57 % (571674)Peak memory usage: 10 MB
% 0.89/0.57 % (571674)Instructions burned: 24 (million)
% 0.89/0.57 % (571683)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1638474125:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.89/0.57 % (571675)Instruction limit reached!
% 0.89/0.57 % (571675)------------------------------
% 0.89/0.57 % (571675)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.57 % (571675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.57 % (571675)CaDiCaL version: 2.1.3
% 0.89/0.57 % (571675)Termination reason: Instruction limit
% 0.89/0.57 % (571675)Termination phase: Property scanning
% 0.89/0.57 % (571675)Time elapsed: 0.034 s
% 0.89/0.57 % (571675)Peak memory usage: 12 MB
% 0.89/0.57 % (571675)Instructions burned: 77 (million)
% 0.89/0.57 % (571683)Instruction limit reached!
% 0.89/0.57 % (571683)------------------------------
% 0.89/0.57 % (571683)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.57 % (571683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.60 % (571683)CaDiCaL version: 2.1.3
% 0.89/0.60 % (571683)Termination reason: Instruction limit
% 0.89/0.60 % (571683)Termination phase: shuffling
% 0.89/0.60 % (571683)Time elapsed: 0.002 s
% 0.89/0.60 % (571683)Peak memory usage: 10 MB
% 0.89/0.60 % (571683)Instructions burned: 3 (million)
% 0.89/0.60 % (571685)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1584118892:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.89/0.60 % (571689)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.89/0.60 % (571689)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.89/0.60 % (571689)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3365092011:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.89/0.60 % (571685)Instruction limit reached!
% 0.89/0.60 % (571685)------------------------------
% 0.89/0.60 % (571685)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.60 % (571685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.60 % (571685)CaDiCaL version: 2.1.3
% 0.89/0.60 % (571685)Termination reason: Instruction limit
% 0.89/0.60 % (571685)Termination phase: shuffling
% 0.89/0.60 % (571685)Time elapsed: 0.005 s
% 0.89/0.60 % (571685)Peak memory usage: 10 MB
% 0.89/0.60 % (571685)Instructions burned: 5 (million)
% 0.89/0.60 % (571688)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2166639133:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.89/0.60 % (571687)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.89/0.60 % (571687)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=4248718364:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.89/0.60 % (571688)Instruction limit reached!
% 0.89/0.60 % (571688)------------------------------
% 0.89/0.60 % (571688)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.60 % (571688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.60 % (571688)CaDiCaL version: 2.1.3
% 0.89/0.60 % (571688)Termination reason: Instruction limit
% 0.89/0.60 % (571688)Termination phase: shuffling
% 0.89/0.60 % (571688)Time elapsed: 0.007 s
% 0.89/0.60 % (571688)Peak memory usage: 10 MB
% 0.89/0.60 % (571688)Instructions burned: 13 (million)
% 0.89/0.60 % (571689)Instruction limit reached!
% 0.89/0.60 % (571689)------------------------------
% 0.89/0.60 % (571689)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.60 % (571689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.60 % (571689)CaDiCaL version: 2.1.3
% 0.89/0.60 % (571689)Termination reason: Instruction limit
% 0.89/0.60 % (571689)Termination phase: shuffling
% 0.89/0.60 % (571689)Time elapsed: 0.013 s
% 0.89/0.60 % (571689)Peak memory usage: 10 MB
% 0.89/0.60 % (571689)Instructions burned: 28 (million)
% 0.89/0.60 % (571687)Instruction limit reached!
% 0.89/0.60 % (571687)------------------------------
% 0.89/0.60 % (571687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.60 % (571687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.60 % (571687)CaDiCaL version: 2.1.3
% 0.89/0.60 % (571687)Termination reason: Instruction limit
% 0.89/0.60 % (571687)Termination phase: shuffling
% 0.89/0.60 % (571687)Time elapsed: 0.007 s
% 0.89/0.60 % (571687)Peak memory usage: 10 MB
% 0.89/0.60 % (571687)Instructions burned: 7 (million)
% 0.89/0.60 % (571696)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.89/0.60 % (571670)Instruction limit reached!
% 0.89/0.60 % (571670)------------------------------
% 0.89/0.60 % (571670)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.60 % (571670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.60 % (571670)CaDiCaL version: 2.1.3
% 0.89/0.60 % (571670)Termination reason: Instruction limit
% 0.89/0.60 % (571670)Termination phase: Property scanning
% 0.89/0.60 % (571670)Time elapsed: 0.072 s
% 0.89/0.60 % (571670)Peak memory usage: 12 MB
% 0.89/0.60 % (571670)Instructions burned: 87 (million)
% 0.89/0.60 % (571696)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=3740188352:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.89/0.60 % (571695)lrs+10_1_si=on:cs=on:random_seed=1036806472:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.89/0.60 % (571692)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=2640291789:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.89/0.60 % (571696)Instruction limit reached!
% 0.89/0.60 % (571696)------------------------------
% 0.89/0.60 % (571696)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.60 % (571696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.60 % (571696)CaDiCaL version: 2.1.3
% 0.89/0.60 % (571696)Termination reason: Instruction limit
% 0.89/0.60 % (571696)Termination phase: shuffling
% 0.89/0.60 % (571696)Time elapsed: 0.001 s
% 0.89/0.60 % (571696)Peak memory usage: 10 MB
% 0.89/0.60 % (571696)Instructions burned: 2 (million)
% 0.89/0.60 % (571695)Instruction limit reached!
% 0.89/0.60 % (571695)------------------------------
% 0.89/0.60 % (571695)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.60 % (571695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.60 % (571695)CaDiCaL version: 2.1.3
% 0.89/0.60 % (571695)Termination reason: Instruction limit
% 0.89/0.60 % (571695)Termination phase: shuffling
% 0.89/0.60 % (571695)Time elapsed: 0.005 s
% 0.89/0.60 % (571695)Peak memory usage: 10 MB
% 0.89/0.60 % (571695)Instructions burned: 10 (million)
% 0.89/0.60 % (571697)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2203069601:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.89/0.60 % (571702)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3359504714:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.89/0.60 % (571703)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1733909265:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.89/0.60 % (571698)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2975773184:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.89/0.60 % (571702)Instruction limit reached!
% 0.89/0.60 % (571702)------------------------------
% 0.89/0.60 % (571702)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.60 % (571702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.60 % (571702)CaDiCaL version: 2.1.3
% 0.89/0.60 % (571702)Termination reason: Instruction limit
% 0.89/0.60 % (571702)Termination phase: shuffling
% 0.89/0.60 % (571702)Time elapsed: 0.012 s
% 0.89/0.60 % (571702)Peak memory usage: 10 MB
% 0.89/0.60 % (571702)Instructions burned: 27 (million)
% 0.89/0.60 % (571703)Instruction limit reached!
% 0.89/0.60 % (571703)------------------------------
% 0.89/0.60 % (571703)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.60 % (571703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.60 % (571703)CaDiCaL version: 2.1.3
% 0.89/0.60 % (571703)Termination reason: Instruction limit
% 0.89/0.60 % (571703)Termination phase: shuffling
% 0.89/0.60 % (571703)Time elapsed: 0.010 s
% 0.89/0.60 % (571703)Peak memory usage: 10 MB
% 0.89/0.60 % (571703)Instructions burned: 21 (million)
% 0.89/0.60 % (571708)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3450250889:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.89/0.60 % (571697)Instruction limit reached!
% 0.89/0.60 % (571697)------------------------------
% 0.89/0.60 % (571697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.60 % (571697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.60 % (571697)CaDiCaL version: 2.1.3
% 0.89/0.60 % (571697)Termination reason: Instruction limit
% 0.89/0.60 % (571697)Termination phase: Property scanning
% 0.89/0.60 % (571697)Time elapsed: 0.031 s
% 0.89/0.60 % (571697)Peak memory usage: 11 MB
% 0.89/0.60 % (571697)Instructions burned: 38 (million)
% 0.89/0.60 % (571676)Instruction limit reached!
% 0.89/0.60 % (571676)------------------------------
% 0.89/0.60 % (571676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.60 % (571676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.60 % (571676)CaDiCaL version: 2.1.3
% 0.89/0.60 % (571676)Termination reason: Instruction limit
% 0.89/0.60 % (571676)Termination phase: Saturation
% 0.89/0.60 % (571676)Time elapsed: 0.125 s
% 0.89/0.60 % (571676)Peak memory usage: 13 MB
% 0.89/0.60 % (571676)Instructions burned: 158 (million)
% 0.89/0.60 % (571709)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=942347057:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.89/0.60 % (571673) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-571665-571673"...
% 0.89/0.60 % (571692)Instruction limit reached!
% 0.89/0.60 % (571692)------------------------------
% 0.89/0.60 % (571692)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.60 % (571692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.60 % (571692)CaDiCaL version: 2.1.3
% 0.89/0.60 % (571692)Termination reason: Instruction limit
% 0.89/0.60 % (571692)Termination phase: Property scanning
% 0.89/0.60 % (571692)Time elapsed: 0.071 s
% 0.89/0.60 % (571692)Peak memory usage: 11 MB
% 0.89/0.60 % (571692)Instructions burned: 87 (million)
% 0.89/0.60 % (571673)...printing done.
% 0.89/0.60 % (571709)Instruction limit reached!
% 0.89/0.60 % (571709)------------------------------
% 0.89/0.60 % (571709)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.60 % (571709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.60 % (571709)CaDiCaL version: 2.1.3
% 0.89/0.60 % (571709)Termination reason: Instruction limit
% 0.89/0.60 % (571709)Termination phase: shuffling
% 0.89/0.60 % (571709)Time elapsed: 0.007 s
% 0.89/0.60 % (571709)Peak memory usage: 10 MB
% 0.89/0.60 % (571709)Instructions burned: 15 (million)
% 0.89/0.60 % (571673)Refutation found. Thanks to Tanya!
% 0.89/0.60 % SZS status Theorem for theBenchmark
% 0.89/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 0.89/0.60 % (571673)------------------------------
% 0.89/0.60 % (571673)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.60 % (571673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.60 % (571673)CaDiCaL version: 2.1.3
% 0.89/0.60 % (571673)Termination reason: Refutation
% 0.89/0.60 % (571673)Time elapsed: 0.147 s
% 0.89/0.60 % (571673)Peak memory usage: 15 MB
% 0.89/0.60 % (571673)Instructions burned: 174 (million)
% 0.89/0.60 % (571665)Success in time 0.207 s
% 0.89/0.60 % Vampire exiting
%------------------------------------------------------------------------------