%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP157^1 : 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 : n007.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 08:08:35 AM UTC 2026
% Result : Theorem 0.32s 0.44s
% Output : Refutation 0.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 32 ( 17 unt; 0 typ; 2 def)
% Number of atoms : 89 ( 20 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 160 ( 19 ~; 12 |; 0 &; 124 @)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 31 ( 30 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 295 ( 292 usr; 17 con; 0-4 aty)
% Number of variables : 24 ( 0 sgn 24 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
set_Pr2081559751od_a_a: $tType ).
thf(type_def_6,type,
set_Pr532616391od_a_a: $tType ).
thf(type_def_7,type,
produc1423126247od_a_a: $tType ).
thf(type_def_8,type,
produc1056976615od_a_a: $tType ).
thf(type_def_9,type,
set_Pr660101255od_a_a: $tType ).
thf(type_def_10,type,
produc1546279079od_a_a: $tType ).
thf(type_def_11,type,
set_Pr1295299783od_a_a: $tType ).
thf(type_def_12,type,
produc1990712039od_a_a: $tType ).
thf(type_def_13,type,
set_Pr1194146439od_a_a: $tType ).
thf(type_def_14,type,
set_Pr231806599od_a_a: $tType ).
thf(type_def_15,type,
set_Pr729215751_a_a_a: $tType ).
thf(type_def_16,type,
set_Pr173461255od_a_a: $tType ).
thf(type_def_17,type,
produc772425383od_a_a: $tType ).
thf(type_def_18,type,
produc2010915495od_a_a: $tType ).
thf(type_def_19,type,
produc1120419623_a_a_a: $tType ).
thf(type_def_20,type,
produc47586087od_a_a: $tType ).
thf(type_def_21,type,
set_Pr195866352od_a_a: $tType ).
thf(type_def_22,type,
set_Pr6137822_a_a_a: $tType ).
thf(type_def_23,type,
produc1555800720od_a_a: $tType ).
thf(type_def_24,type,
produc1683075710_a_a_a: $tType ).
thf(type_def_25,type,
set_Pr1948701895od_a_a: $tType ).
thf(type_def_26,type,
produc1572603623od_a_a: $tType ).
thf(type_def_27,type,
set_Pr681306928od_a_a: $tType ).
thf(type_def_28,type,
set_Pr1689873822_a_a_a: $tType ).
thf(type_def_29,type,
produc1921647824od_a_a: $tType ).
thf(type_def_30,type,
produc1016684094_a_a_a: $tType ).
thf(type_def_31,type,
set_Product_prod_a_a: $tType ).
thf(type_def_32,type,
product_prod_a_a: $tType ).
thf(type_def_33,type,
set_a: $tType ).
thf(type_def_34,type,
a: $tType ).
thf(type_def_35,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
bNF_Gr1372473186od_a_a: set_Product_prod_a_a > ( product_prod_a_a > product_prod_a_a ) > set_Pr1948701895od_a_a ).
thf(func_def_1,type,
bNF_Gr_a_a: set_a > ( a > a ) > set_Product_prod_a_a ).
thf(func_def_2,type,
bNF_Gr533818957od_a_a: set_Pr1948701895od_a_a > ( produc1572603623od_a_a > product_prod_a_a ) > ( produc1572603623od_a_a > product_prod_a_a ) > set_Pr1948701895od_a_a ).
thf(func_def_3,type,
bNF_Gr356189709_a_a_a: set_Pr1948701895od_a_a > ( produc1572603623od_a_a > a ) > ( produc1572603623od_a_a > a ) > set_Product_prod_a_a ).
thf(func_def_4,type,
bNF_Gr200450189od_a_a: set_Product_prod_a_a > ( product_prod_a_a > product_prod_a_a ) > ( product_prod_a_a > product_prod_a_a ) > set_Pr1948701895od_a_a ).
thf(func_def_5,type,
bNF_Gr1853143117_a_a_a: set_Product_prod_a_a > ( product_prod_a_a > a ) > ( product_prod_a_a > a ) > set_Product_prod_a_a ).
thf(func_def_6,type,
bNF_Gr1715025636od_a_a: set_a > ( a > product_prod_a_a ) > ( a > product_prod_a_a ) > set_Pr1948701895od_a_a ).
thf(func_def_7,type,
bNF_Gr423046308_a_a_a: set_a > ( a > a ) > ( a > a ) > set_Product_prod_a_a ).
thf(func_def_8,type,
minus_107310383_a_a_o: ( produc1572603623od_a_a > $o ) > ( produc1572603623od_a_a > $o ) > produc1572603623od_a_a > $o ).
thf(func_def_9,type,
minus_1797478127_a_a_o: ( product_prod_a_a > $o ) > ( product_prod_a_a > $o ) > product_prod_a_a > $o ).
thf(func_def_10,type,
minus_minus_a_o: ( a > $o ) > ( a > $o ) > a > $o ).
thf(func_def_11,type,
minus_1034916142od_a_a: set_Pr1948701895od_a_a > set_Pr1948701895od_a_a > set_Pr1948701895od_a_a ).
thf(func_def_12,type,
minus_1507102574od_a_a: set_Product_prod_a_a > set_Product_prod_a_a > set_Product_prod_a_a ).
thf(func_def_13,type,
minus_minus_set_a: set_a > set_a > set_a ).
thf(func_def_14,type,
order_491428350od_a_a: set_Pr1948701895od_a_a > set_Pr1295299783od_a_a > $o ).
thf(func_def_15,type,
order_359341630od_a_a: set_Product_prod_a_a > set_Pr1948701895od_a_a > $o ).
thf(func_def_16,type,
order_preorder_on_a: set_a > set_Product_prod_a_a > $o ).
thf(func_def_17,type,
bot_bo1116205875od_a_a: set_Pr1948701895od_a_a ).
thf(func_def_18,type,
bot_bo2131659635od_a_a: set_Product_prod_a_a ).
thf(func_def_19,type,
bot_bot_set_a: set_a ).
thf(func_def_20,type,
ord_le1525442358_a_a_o: ( produc1572603623od_a_a > $o ) > ( produc1572603623od_a_a > $o ) > $o ).
thf(func_def_21,type,
ord_le252190158_a_a_o: ( product_prod_a_a > product_prod_a_a > $o ) > ( product_prod_a_a > product_prod_a_a > $o ) > $o ).
thf(func_def_22,type,
ord_le1347718902_a_a_o: ( product_prod_a_a > $o ) > ( product_prod_a_a > $o ) > $o ).
thf(func_def_23,type,
ord_less_eq_a_a_o: ( a > a > $o ) > ( a > a > $o ) > $o ).
thf(func_def_24,type,
ord_less_eq_a_o: ( a > $o ) > ( a > $o ) > $o ).
thf(func_def_25,type,
ord_le456379495od_a_a: set_Pr1948701895od_a_a > set_Pr1948701895od_a_a > $o ).
thf(func_def_26,type,
ord_le1824328871od_a_a: set_Product_prod_a_a > set_Product_prod_a_a > $o ).
thf(func_def_27,type,
ord_less_eq_set_a: set_a > set_a > $o ).
thf(func_def_28,type,
top_to2011536774_a_a_o: produc1572603623od_a_a > $o ).
thf(func_def_29,type,
top_to993969022_a_a_o: product_prod_a_a > product_prod_a_a > $o ).
thf(func_def_30,type,
top_to1483957574_a_a_o: product_prod_a_a > $o ).
thf(func_def_31,type,
top_top_a_a_o: a > a > $o ).
thf(func_def_32,type,
top_top_a_o: a > $o ).
thf(func_def_33,type,
top_to52711959od_a_a: set_Pr1948701895od_a_a ).
thf(func_def_34,type,
top_to398455383od_a_a: set_Product_prod_a_a ).
thf(func_def_35,type,
top_top_set_a: set_a ).
thf(func_def_36,type,
prefer1867335523od_a_a: produc1572603623od_a_a > set_Pr1948701895od_a_a > set_Pr1295299783od_a_a > set_Pr1948701895od_a_a ).
thf(func_def_37,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_38,type,
prefer436369274d_as_a: a > set_a > set_Product_prod_a_a > set_a ).
thf(func_def_39,type,
prefer468349667od_a_a: produc2010915495od_a_a > set_Pr231806599od_a_a > set_Pr532616391od_a_a > set_Pr231806599od_a_a ).
thf(func_def_40,type,
prefer1377343203od_a_a: produc772425383od_a_a > set_Pr1194146439od_a_a > set_Pr2081559751od_a_a > set_Pr1194146439od_a_a ).
thf(func_def_41,type,
prefer55414563od_a_a: produc1572603623od_a_a > set_Pr1948701895od_a_a > set_Pr1295299783od_a_a > set_Pr1948701895od_a_a ).
thf(func_def_42,type,
prefer1944486522_a_a_a: produc1016684094_a_a_a > set_Pr1689873822_a_a_a > set_Pr729215751_a_a_a > set_Pr1689873822_a_a_a ).
thf(func_def_43,type,
prefer445484748od_a_a: produc1555800720od_a_a > set_Pr195866352od_a_a > set_Pr660101255od_a_a > set_Pr195866352od_a_a ).
thf(func_def_44,type,
prefer701966604od_a_a: produc1921647824od_a_a > set_Pr681306928od_a_a > set_Pr231806599od_a_a > set_Pr681306928od_a_a ).
thf(func_def_45,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_46,type,
prefer161218362good_a: a > set_a > set_Product_prod_a_a > set_a ).
thf(func_def_47,type,
prefer926864306od_a_a: produc1572603623od_a_a > set_Pr1948701895od_a_a > set_Pr1295299783od_a_a > set_Pr1948701895od_a_a ).
thf(func_def_48,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_49,type,
prefer1676310729than_a: a > set_a > set_Product_prod_a_a > set_a ).
thf(func_def_50,type,
prefer1409946857od_a_a: set_Pr1948701895od_a_a > set_Pr1295299783od_a_a > $o ).
thf(func_def_51,type,
prefer1338892073od_a_a: set_Product_prod_a_a > set_Pr1948701895od_a_a > $o ).
thf(func_def_52,type,
prefer1292084992ence_a: set_a > set_Product_prod_a_a > $o ).
thf(func_def_53,type,
produc539587415od_a_a: produc2010915495od_a_a > produc2010915495od_a_a > produc1056976615od_a_a ).
thf(func_def_54,type,
produc852390743od_a_a: produc772425383od_a_a > produc772425383od_a_a > produc1423126247od_a_a ).
thf(func_def_55,type,
produc1935643479od_a_a: produc1572603623od_a_a > produc1572603623od_a_a > produc1990712039od_a_a ).
thf(func_def_56,type,
produc524982679od_a_a: produc1572603623od_a_a > product_prod_a_a > produc47586087od_a_a ).
thf(func_def_57,type,
produc436797294_a_a_a: produc1572603623od_a_a > a > produc1683075710_a_a_a ).
thf(func_def_58,type,
produc2054708503_a_a_a: produc1016684094_a_a_a > produc1016684094_a_a_a > produc1120419623_a_a_a ).
thf(func_def_59,type,
produc1573596055od_a_a: produc1555800720od_a_a > produc1555800720od_a_a > produc1546279079od_a_a ).
thf(func_def_60,type,
produc563767703od_a_a: produc1921647824od_a_a > produc1921647824od_a_a > produc2010915495od_a_a ).
thf(func_def_61,type,
produc1555606807od_a_a: product_prod_a_a > produc1572603623od_a_a > produc772425383od_a_a ).
thf(func_def_62,type,
produc1474507607od_a_a: product_prod_a_a > product_prod_a_a > produc1572603623od_a_a ).
thf(func_def_63,type,
produc2061588782_a_a_a: product_prod_a_a > a > produc1016684094_a_a_a ).
thf(func_def_64,type,
produc1095491584od_a_a: a > produc1572603623od_a_a > produc1555800720od_a_a ).
thf(func_def_65,type,
produc1299253312od_a_a: a > product_prod_a_a > produc1921647824od_a_a ).
thf(func_def_66,type,
product_Pair_a_a: a > a > product_prod_a_a ).
thf(func_def_67,type,
produc1460477704od_a_a: set_Pr1948701895od_a_a > ( produc1572603623od_a_a > set_Pr1948701895od_a_a ) > set_Pr1295299783od_a_a ).
thf(func_def_68,type,
produc197318472od_a_a: set_Pr1948701895od_a_a > ( produc1572603623od_a_a > set_Product_prod_a_a ) > set_Pr173461255od_a_a ).
thf(func_def_69,type,
produc4724255_a_a_a: set_Pr1948701895od_a_a > ( produc1572603623od_a_a > set_a ) > set_Pr6137822_a_a_a ).
thf(func_def_70,type,
produc1227942600od_a_a: set_Product_prod_a_a > ( product_prod_a_a > set_Pr1948701895od_a_a ) > set_Pr1194146439od_a_a ).
thf(func_def_71,type,
produc304751368od_a_a: set_Product_prod_a_a > ( product_prod_a_a > set_Product_prod_a_a ) > set_Pr1948701895od_a_a ).
thf(func_def_72,type,
produc1282482655_a_a_a: set_Product_prod_a_a > ( product_prod_a_a > set_a ) > set_Pr1689873822_a_a_a ).
thf(func_def_73,type,
produc663418545od_a_a: set_a > ( a > set_Pr1948701895od_a_a ) > set_Pr195866352od_a_a ).
thf(func_def_74,type,
produc520147185od_a_a: set_a > ( a > set_Product_prod_a_a ) > set_Pr681306928od_a_a ).
thf(func_def_75,type,
product_Sigma_a_a: set_a > ( a > set_a ) > set_Product_prod_a_a ).
thf(func_def_76,type,
produc94438221_a_a_o: ( produc1572603623od_a_a > $o ) > product_prod_a_a > product_prod_a_a > $o ).
thf(func_def_77,type,
product_curry_a_a_o: ( product_prod_a_a > $o ) > a > a > $o ).
thf(func_def_78,type,
produc1779756150od_a_a: ( product_prod_a_a > product_prod_a_a ) > ( product_prod_a_a > product_prod_a_a ) > produc1572603623od_a_a > produc1572603623od_a_a ).
thf(func_def_79,type,
produc363290532_a_a_a: ( product_prod_a_a > a ) > ( product_prod_a_a > a ) > produc1572603623od_a_a > product_prod_a_a ).
thf(func_def_80,type,
produc2012818120od_a_a: ( a > product_prod_a_a ) > ( a > product_prod_a_a ) > product_prod_a_a > produc1572603623od_a_a ).
thf(func_def_81,type,
produc700022774_a_a_a: ( a > a ) > ( a > a ) > product_prod_a_a > product_prod_a_a ).
thf(func_def_82,type,
produc303632707od_a_a: produc1990712039od_a_a > produc1572603623od_a_a ).
thf(func_def_83,type,
produc745123715od_a_a: produc47586087od_a_a > produc1572603623od_a_a ).
thf(func_def_84,type,
produc2019352922_a_a_a: produc1683075710_a_a_a > produc1572603623od_a_a ).
thf(func_def_85,type,
produc1775747843od_a_a: produc772425383od_a_a > product_prod_a_a ).
thf(func_def_86,type,
produc2115494211od_a_a: produc1572603623od_a_a > product_prod_a_a ).
thf(func_def_87,type,
produc1805832986_a_a_a: produc1016684094_a_a_a > product_prod_a_a ).
thf(func_def_88,type,
produc530563564od_a_a: produc1555800720od_a_a > a ).
thf(func_def_89,type,
produc1043497516od_a_a: produc1921647824od_a_a > a ).
thf(func_def_90,type,
product_fst_a_a: product_prod_a_a > a ).
thf(func_def_91,type,
produc1441227909od_a_a: produc1990712039od_a_a > produc1572603623od_a_a ).
thf(func_def_92,type,
produc24848069od_a_a: produc47586087od_a_a > product_prod_a_a ).
thf(func_def_93,type,
produc262335132_a_a_a: produc1683075710_a_a_a > a ).
thf(func_def_94,type,
produc1055472197od_a_a: produc772425383od_a_a > produc1572603623od_a_a ).
thf(func_def_95,type,
produc368344197od_a_a: produc1572603623od_a_a > product_prod_a_a ).
thf(func_def_96,type,
produc1954021468_a_a_a: produc1016684094_a_a_a > a ).
thf(func_def_97,type,
produc921029422od_a_a: produc1555800720od_a_a > produc1572603623od_a_a ).
thf(func_def_98,type,
produc1191685998od_a_a: produc1921647824od_a_a > product_prod_a_a ).
thf(func_def_99,type,
product_snd_a_a: product_prod_a_a > a ).
thf(func_def_100,type,
produc1641853175od_a_a: produc1572603623od_a_a > produc1572603623od_a_a ).
thf(func_def_101,type,
product_swap_a_a: product_prod_a_a > product_prod_a_a ).
thf(func_def_102,type,
produc905674258od_a_a: set_Product_prod_a_a > set_Product_prod_a_a > set_Pr1948701895od_a_a ).
thf(func_def_103,type,
product_product_a_a: set_a > set_a > set_Product_prod_a_a ).
thf(func_def_104,type,
collec1635618130od_a_a: ( produc1572603623od_a_a > $o ) > set_Pr1948701895od_a_a ).
thf(func_def_105,type,
collec645855634od_a_a: ( product_prod_a_a > $o ) > set_Product_prod_a_a ).
thf(func_def_106,type,
collect_a: ( a > $o ) > set_a ).
thf(func_def_107,type,
image_236793797od_a_a: ( produc1572603623od_a_a > produc1572603623od_a_a ) > set_Pr1948701895od_a_a > set_Pr1948701895od_a_a ).
thf(func_def_108,type,
image_734753285od_a_a: ( produc1572603623od_a_a > product_prod_a_a ) > set_Pr1948701895od_a_a > set_Product_prod_a_a ).
thf(func_def_109,type,
image_1105229276_a_a_a: ( produc1572603623od_a_a > a ) > set_Pr1948701895od_a_a > set_a ).
thf(func_def_110,type,
image_1765377413od_a_a: ( product_prod_a_a > produc1572603623od_a_a ) > set_Product_prod_a_a > set_Pr1948701895od_a_a ).
thf(func_def_111,type,
image_794773445od_a_a: ( product_prod_a_a > product_prod_a_a ) > set_Product_prod_a_a > set_Product_prod_a_a ).
thf(func_def_112,type,
image_340790172_a_a_a: ( product_prod_a_a > a ) > set_Product_prod_a_a > set_a ).
thf(func_def_113,type,
image_1763923566od_a_a: ( a > produc1572603623od_a_a ) > set_a > set_Pr1948701895od_a_a ).
thf(func_def_114,type,
image_1725938350od_a_a: ( a > product_prod_a_a ) > set_a > set_Product_prod_a_a ).
thf(func_def_115,type,
image_a_a: ( a > a ) > set_a > set_a ).
thf(func_def_116,type,
lex_pr942790511od_a_a: set_Pr1948701895od_a_a > set_Pr1948701895od_a_a > set_Pr1295299783od_a_a ).
thf(func_def_117,type,
lex_pr2084296006_a_a_a: set_Pr1948701895od_a_a > set_Product_prod_a_a > set_Pr729215751_a_a_a ).
thf(func_def_118,type,
lex_pr1321960536od_a_a: set_Product_prod_a_a > set_Pr1948701895od_a_a > set_Pr231806599od_a_a ).
thf(func_def_119,type,
lex_prod_a_a: set_Product_prod_a_a > set_Product_prod_a_a > set_Pr1948701895od_a_a ).
thf(func_def_120,type,
same_f1138477100od_a_a: ( product_prod_a_a > $o ) > ( product_prod_a_a > set_Pr1948701895od_a_a ) > set_Pr1295299783od_a_a ).
thf(func_def_121,type,
same_fst_a_a: ( a > $o ) > ( a > set_Product_prod_a_a ) > set_Pr1948701895od_a_a ).
thf(func_def_122,type,
member180906768od_a_a: produc1056976615od_a_a > set_Pr532616391od_a_a > $o ).
thf(func_def_123,type,
member547056400od_a_a: produc1423126247od_a_a > set_Pr2081559751od_a_a > $o ).
thf(func_def_124,type,
member1899387664od_a_a: produc1990712039od_a_a > set_Pr1295299783od_a_a > $o ).
thf(func_def_125,type,
member1545452880od_a_a: produc47586087od_a_a > set_Pr173461255od_a_a > $o ).
thf(func_def_126,type,
member575366567_a_a_a: produc1683075710_a_a_a > set_Pr6137822_a_a_a > $o ).
thf(func_def_127,type,
member470802768_a_a_a: produc1120419623_a_a_a > set_Pr729215751_a_a_a > $o ).
thf(func_def_128,type,
member1424209616od_a_a: produc1546279079od_a_a > set_Pr660101255od_a_a > $o ).
thf(func_def_129,type,
member1361298640od_a_a: produc2010915495od_a_a > set_Pr231806599od_a_a > $o ).
thf(func_def_130,type,
member122808528od_a_a: produc772425383od_a_a > set_Pr1194146439od_a_a > $o ).
thf(func_def_131,type,
member2057358096od_a_a: produc1572603623od_a_a > set_Pr1948701895od_a_a > $o ).
thf(func_def_132,type,
member1403138919_a_a_a: produc1016684094_a_a_a > set_Pr1689873822_a_a_a > $o ).
thf(func_def_133,type,
member448091577od_a_a: produc1555800720od_a_a > set_Pr195866352od_a_a > $o ).
thf(func_def_134,type,
member160619001od_a_a: produc1921647824od_a_a > set_Pr681306928od_a_a > $o ).
thf(func_def_135,type,
member449909584od_a_a: product_prod_a_a > set_Product_prod_a_a > $o ).
thf(func_def_136,type,
member_a: a > set_a > $o ).
thf(func_def_137,type,
b: set_a ).
thf(func_def_138,type,
pr: set_Product_prod_a_a ).
thf(func_def_139,type,
y: a ).
thf(func_def_140,type,
z: a ).
thf(func_def_144,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_145,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_146,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_147,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_148,type,
vAND: $o > $o > $o ).
thf(func_def_149,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_150,type,
vIMP: $o > $o > $o ).
thf(func_def_151,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_152,type,
vNOT: $o > $o ).
thf(func_def_153,type,
sK0: ( produc1016684094_a_a_a > $o ) > product_prod_a_a ).
thf(func_def_154,type,
sK1: ( produc1016684094_a_a_a > $o ) > a ).
thf(func_def_155,type,
sK2: product_prod_a_a > a ).
thf(func_def_156,type,
sK3: product_prod_a_a > a ).
thf(func_def_157,type,
sK4: set_Pr1948701895od_a_a > set_Pr1948701895od_a_a > ( produc1572603623od_a_a > produc1572603623od_a_a ) > produc1572603623od_a_a ).
thf(func_def_158,type,
sK5: ( produc1555800720od_a_a > $o ) > produc1572603623od_a_a ).
thf(func_def_159,type,
sK6: ( produc1555800720od_a_a > $o ) > a ).
thf(func_def_160,type,
sK7: product_prod_a_a > produc1572603623od_a_a > product_prod_a_a ).
thf(func_def_161,type,
sK8: ( a > a ) > set_a > set_a > a ).
thf(func_def_162,type,
sK9: set_Pr1948701895od_a_a > set_Product_prod_a_a > ( product_prod_a_a > produc1572603623od_a_a ) > product_prod_a_a ).
thf(func_def_163,type,
sK10: ( produc1572603623od_a_a > $o ) > product_prod_a_a ).
thf(func_def_164,type,
sK11: ( produc1572603623od_a_a > $o ) > product_prod_a_a ).
thf(func_def_165,type,
sK12: set_Product_prod_a_a > set_a > ( a > product_prod_a_a ) > a ).
thf(func_def_166,type,
sK13: ( product_prod_a_a > product_prod_a_a ) > product_prod_a_a > set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_167,type,
sK14: produc1921647824od_a_a > a ).
thf(func_def_168,type,
sK15: produc1921647824od_a_a > a ).
thf(func_def_169,type,
sK16: produc1921647824od_a_a > a ).
thf(func_def_170,type,
sK17: set_a > a ).
thf(func_def_171,type,
sK18: set_a > ( a > $o ) > a ).
thf(func_def_172,type,
sK19: set_Pr1948701895od_a_a > set_Pr1295299783od_a_a > produc1572603623od_a_a ).
thf(func_def_173,type,
sK20: set_Pr1948701895od_a_a > set_Pr1295299783od_a_a > produc1572603623od_a_a ).
thf(func_def_174,type,
sK21: set_Pr1948701895od_a_a > set_Pr1295299783od_a_a > produc1572603623od_a_a ).
thf(func_def_175,type,
sK22: set_Pr1948701895od_a_a > set_Pr1295299783od_a_a > produc1572603623od_a_a ).
thf(func_def_176,type,
sK23: set_Pr1948701895od_a_a > produc1572603623od_a_a ).
thf(func_def_177,type,
sK24: a > product_prod_a_a > a ).
thf(func_def_178,type,
sK25: set_Product_prod_a_a > set_Product_prod_a_a > a ).
thf(func_def_179,type,
sK26: set_Product_prod_a_a > set_Product_prod_a_a > a ).
thf(func_def_180,type,
sK27: set_Pr1948701895od_a_a > set_Pr1948701895od_a_a > produc1572603623od_a_a ).
thf(func_def_181,type,
sK28: set_Pr1948701895od_a_a > ( product_prod_a_a > a ) > product_prod_a_a > ( product_prod_a_a > a ) > product_prod_a_a ).
thf(func_def_182,type,
sK29: set_Pr1948701895od_a_a > ( product_prod_a_a > a ) > product_prod_a_a > ( product_prod_a_a > a ) > product_prod_a_a ).
thf(func_def_183,type,
sK30: produc47586087od_a_a > set_Pr1948701895od_a_a > ( produc1572603623od_a_a > set_Product_prod_a_a ) > produc1572603623od_a_a ).
thf(func_def_184,type,
sK31: produc47586087od_a_a > set_Pr1948701895od_a_a > ( produc1572603623od_a_a > set_Product_prod_a_a ) > product_prod_a_a ).
thf(func_def_185,type,
sK32: produc1572603623od_a_a > set_Product_prod_a_a > ( product_prod_a_a > set_Product_prod_a_a ) > product_prod_a_a ).
thf(func_def_186,type,
sK33: produc1572603623od_a_a > set_Product_prod_a_a > ( product_prod_a_a > set_Product_prod_a_a ) > product_prod_a_a ).
thf(func_def_187,type,
sK34: set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_188,type,
sK35: product_prod_a_a > ( produc1572603623od_a_a > product_prod_a_a ) > set_Pr1948701895od_a_a > produc1572603623od_a_a ).
thf(func_def_189,type,
sK36: ( product_prod_a_a > $o ) > a ).
thf(func_def_190,type,
sK37: ( product_prod_a_a > $o ) > a ).
thf(func_def_191,type,
sK38: produc1572603623od_a_a > a ).
thf(func_def_192,type,
sK39: produc1572603623od_a_a > product_prod_a_a ).
thf(func_def_193,type,
sK40: produc1572603623od_a_a > a ).
thf(func_def_194,type,
sK41: produc1555800720od_a_a > a ).
thf(func_def_195,type,
sK42: produc1555800720od_a_a > produc1572603623od_a_a ).
thf(func_def_196,type,
sK43: produc1555800720od_a_a > ( a > set_Pr1948701895od_a_a ) > set_a > a ).
thf(func_def_197,type,
sK44: produc1555800720od_a_a > ( a > set_Pr1948701895od_a_a ) > set_a > produc1572603623od_a_a ).
thf(func_def_198,type,
sK45: set_Pr1948701895od_a_a > set_a > ( a > produc1572603623od_a_a ) > a ).
thf(func_def_199,type,
sK46: a > set_Product_prod_a_a > ( product_prod_a_a > a ) > product_prod_a_a ).
thf(func_def_200,type,
sK47: set_a > ( a > a ) > a > a ).
thf(func_def_201,type,
sK48: produc2010915495od_a_a > produc1921647824od_a_a ).
thf(func_def_202,type,
sK49: produc2010915495od_a_a > produc1921647824od_a_a ).
thf(func_def_203,type,
sK50: set_Pr1948701895od_a_a > produc1572603623od_a_a ).
thf(func_def_204,type,
sK51: ( produc1572603623od_a_a > product_prod_a_a ) > set_Pr1948701895od_a_a > set_Product_prod_a_a > produc1572603623od_a_a ).
thf(func_def_205,type,
sK52: produc1921647824od_a_a > set_a > ( a > set_Product_prod_a_a ) > a ).
thf(func_def_206,type,
sK53: produc1921647824od_a_a > set_a > ( a > set_Product_prod_a_a ) > product_prod_a_a ).
thf(func_def_207,type,
sK54: ( produc1572603623od_a_a > a ) > set_Pr1948701895od_a_a > a > produc1572603623od_a_a ).
thf(func_def_208,type,
sK55: ( a > produc1572603623od_a_a ) > set_a > produc1572603623od_a_a > a ).
thf(func_def_209,type,
sK56: produc1572603623od_a_a > product_prod_a_a ).
thf(func_def_210,type,
sK57: produc1572603623od_a_a > product_prod_a_a ).
thf(func_def_211,type,
sK58: set_a > a ).
thf(func_def_212,type,
sK59: set_Product_prod_a_a > ( product_prod_a_a > $o ) > product_prod_a_a ).
thf(func_def_213,type,
sK60: ( product_prod_a_a > product_prod_a_a ) > ( product_prod_a_a > product_prod_a_a ) > produc1572603623od_a_a > set_Pr1948701895od_a_a > product_prod_a_a ).
thf(func_def_214,type,
sK61: ( product_prod_a_a > product_prod_a_a ) > ( product_prod_a_a > product_prod_a_a ) > produc1572603623od_a_a > set_Pr1948701895od_a_a > product_prod_a_a ).
thf(func_def_215,type,
sK62: ( a > a ) > ( a > a ) > product_prod_a_a > set_Product_prod_a_a > a ).
thf(func_def_216,type,
sK63: ( a > a ) > ( a > a ) > product_prod_a_a > set_Product_prod_a_a > a ).
thf(func_def_217,type,
sK64: product_prod_a_a > set_a > ( a > set_a ) > a ).
thf(func_def_218,type,
sK65: product_prod_a_a > set_a > ( a > set_a ) > a ).
thf(func_def_219,type,
sK66: set_Pr1948701895od_a_a > ( produc1572603623od_a_a > $o ) > produc1572603623od_a_a ).
thf(func_def_220,type,
sK67: set_Product_prod_a_a > set_a > a ).
thf(func_def_221,type,
sK68: set_Product_prod_a_a > set_a > a ).
thf(func_def_222,type,
sK69: set_Product_prod_a_a > set_a > a ).
thf(func_def_223,type,
sK70: set_Product_prod_a_a > set_a > a ).
thf(func_def_224,type,
sK71: produc772425383od_a_a > product_prod_a_a ).
thf(func_def_225,type,
sK72: produc772425383od_a_a > product_prod_a_a ).
thf(func_def_226,type,
sK73: produc772425383od_a_a > product_prod_a_a ).
thf(func_def_227,type,
sK74: product_prod_a_a ).
thf(func_def_228,type,
sK75: set_Product_prod_a_a > set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_229,type,
sK76: produc1921647824od_a_a > product_prod_a_a ).
thf(func_def_230,type,
sK77: produc1921647824od_a_a > a ).
thf(func_def_231,type,
sK78: ( a > product_prod_a_a ) > set_Product_prod_a_a > ( a > product_prod_a_a ) > produc1572603623od_a_a > a ).
thf(func_def_232,type,
sK79: ( a > product_prod_a_a ) > set_Product_prod_a_a > ( a > product_prod_a_a ) > produc1572603623od_a_a > a ).
thf(func_def_233,type,
sK80: set_Product_prod_a_a > produc1572603623od_a_a > ( product_prod_a_a > produc1572603623od_a_a ) > product_prod_a_a ).
thf(func_def_234,type,
sK81: set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_235,type,
sK82: product_prod_a_a > a ).
thf(func_def_236,type,
sK83: product_prod_a_a > a ).
thf(func_def_237,type,
sK84: set_Product_prod_a_a > produc1016684094_a_a_a > ( product_prod_a_a > set_a ) > product_prod_a_a ).
thf(func_def_238,type,
sK85: set_Product_prod_a_a > produc1016684094_a_a_a > ( product_prod_a_a > set_a ) > a ).
thf(func_def_239,type,
sK86: ( product_prod_a_a > product_prod_a_a ) > set_Product_prod_a_a > set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_240,type,
sK87: set_a > set_Pr1948701895od_a_a > ( produc1572603623od_a_a > a ) > produc1572603623od_a_a ).
thf(func_def_241,type,
sK88: produc1555800720od_a_a > a ).
thf(func_def_242,type,
sK89: produc1555800720od_a_a > product_prod_a_a ).
thf(func_def_243,type,
sK90: produc1555800720od_a_a > product_prod_a_a ).
thf(func_def_244,type,
sK91: set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_245,type,
sK92: ( produc1572603623od_a_a > $o ) > product_prod_a_a ).
thf(func_def_246,type,
sK93: ( produc1572603623od_a_a > $o ) > product_prod_a_a ).
thf(func_def_247,type,
sK94: ( produc1921647824od_a_a > $o ) > a ).
thf(func_def_248,type,
sK95: ( produc1921647824od_a_a > $o ) > product_prod_a_a ).
thf(func_def_249,type,
sK96: produc772425383od_a_a > produc1572603623od_a_a ).
thf(func_def_250,type,
sK97: produc772425383od_a_a > product_prod_a_a ).
thf(func_def_251,type,
sK98: ( product_prod_a_a > $o ) > a ).
thf(func_def_252,type,
sK99: ( product_prod_a_a > $o ) > a ).
thf(func_def_253,type,
sK100: produc1572603623od_a_a ).
thf(func_def_254,type,
sK101: set_a > a ).
thf(func_def_255,type,
sK102: set_Product_prod_a_a > ( product_prod_a_a > a ) > set_a > product_prod_a_a ).
thf(func_def_256,type,
sK103: product_prod_a_a > a > a ).
thf(func_def_257,type,
sK104: ( produc772425383od_a_a > $o ) > produc1572603623od_a_a ).
thf(func_def_258,type,
sK105: ( produc772425383od_a_a > $o ) > product_prod_a_a ).
thf(func_def_259,type,
sK106: set_a > ( a > $o ) > ( a > $o ) > a ).
thf(func_def_260,type,
sK107: product_prod_a_a > ( a > product_prod_a_a ) > set_a > a ).
thf(func_def_261,type,
sK108: set_Pr1948701895od_a_a > set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_262,type,
sK109: set_Pr1948701895od_a_a > set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_263,type,
sK110: set_Pr1948701895od_a_a > set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_264,type,
sK111: set_Pr1948701895od_a_a > set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_265,type,
sK112: set_Pr1948701895od_a_a > produc1572603623od_a_a ).
thf(func_def_266,type,
sK113: a ).
thf(func_def_267,type,
sK114: set_Pr1948701895od_a_a > set_Pr1948701895od_a_a > product_prod_a_a ).
thf(func_def_268,type,
sK115: set_Pr1948701895od_a_a > set_Pr1948701895od_a_a > product_prod_a_a ).
thf(func_def_269,type,
sK116: produc1572603623od_a_a > product_prod_a_a ).
thf(func_def_270,type,
sK117: produc1572603623od_a_a > product_prod_a_a ).
thf(func_def_271,type,
sK118: ( produc1572603623od_a_a > set_a ) > produc1683075710_a_a_a > set_Pr1948701895od_a_a > produc1572603623od_a_a ).
thf(func_def_272,type,
sK119: ( produc1572603623od_a_a > set_a ) > produc1683075710_a_a_a > set_Pr1948701895od_a_a > a ).
thf(func_def_273,type,
sK120: produc1990712039od_a_a > ( produc1572603623od_a_a > set_Pr1948701895od_a_a ) > set_Pr1948701895od_a_a > produc1572603623od_a_a ).
thf(func_def_274,type,
sK121: produc1990712039od_a_a > ( produc1572603623od_a_a > set_Pr1948701895od_a_a ) > set_Pr1948701895od_a_a > produc1572603623od_a_a ).
thf(func_def_275,type,
sK122: set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_276,type,
sK123: set_Pr1948701895od_a_a > produc1572603623od_a_a > ( produc1572603623od_a_a > produc1572603623od_a_a ) > produc1572603623od_a_a ).
thf(func_def_277,type,
sK124: set_a > set_a > a ).
thf(func_def_278,type,
sK125: ( produc2010915495od_a_a > $o ) > produc1921647824od_a_a ).
thf(func_def_279,type,
sK126: ( produc2010915495od_a_a > $o ) > produc1921647824od_a_a ).
thf(func_def_280,type,
sK127: set_a > a ).
thf(func_def_281,type,
sK128: set_Pr1948701895od_a_a > produc1572603623od_a_a ).
thf(func_def_282,type,
sK129: ( product_prod_a_a > $o ) > set_Product_prod_a_a > ( product_prod_a_a > $o ) > product_prod_a_a ).
thf(func_def_283,type,
sK130: set_Product_prod_a_a > produc772425383od_a_a > ( product_prod_a_a > set_Pr1948701895od_a_a ) > product_prod_a_a ).
thf(func_def_284,type,
sK131: set_Product_prod_a_a > produc772425383od_a_a > ( product_prod_a_a > set_Pr1948701895od_a_a ) > produc1572603623od_a_a ).
thf(func_def_285,type,
sK132: produc1016684094_a_a_a > product_prod_a_a ).
thf(func_def_286,type,
sK133: produc1016684094_a_a_a > a ).
thf(func_def_287,type,
sK134: product_prod_a_a > produc1572603623od_a_a > product_prod_a_a ).
thf(func_def_288,type,
sK135: ( produc1572603623od_a_a > $o ) > product_prod_a_a ).
thf(func_def_289,type,
sK136: ( produc1572603623od_a_a > $o ) > a ).
thf(func_def_290,type,
sK137: ( produc1572603623od_a_a > $o ) > a ).
thf(func_def_291,type,
sK138: ( produc1572603623od_a_a > $o ) > ( produc1572603623od_a_a > $o ) > set_Pr1948701895od_a_a > produc1572603623od_a_a ).
thf(f1,axiom,
member_a @ z @ ( prefer161218362good_a @ y @ b @ pr ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_assms) ).
thf(f9,axiom,
! [X1: a,X3: set_Product_prod_a_a,X0: a,X2: set_a] :
( ( member_a @ X0 @ ( prefer161218362good_a @ X1 @ X2 @ X3 ) )
=> ( member449909584od_a_a @ ( product_Pair_a_a @ X0 @ X1 ) @ X3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8_at__lst__asgd__ge) ).
thf(f356,conjecture,
member449909584od_a_a @ ( product_Pair_a_a @ z @ y ) @ pr,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f357,negated_conjecture,
~ ( member449909584od_a_a @ ( product_Pair_a_a @ z @ y ) @ pr ),
inference(negated_conjecture,[status(cth)],[f356]) ).
thf(f521,plain,
! [X0: a,X1: set_Product_prod_a_a,X2: a,X3: set_a] :
( ( member_a @ X2 @ ( prefer161218362good_a @ X0 @ X3 @ X1 ) )
=> ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ X0 ) @ X1 ) ),
inference(rectify,[],[f9]) ).
thf(f522,plain,
! [X0: a,X2: a,X1: set_Product_prod_a_a,X3: set_a] :
( ( $true
= ( member_a @ X2 @ ( prefer161218362good_a @ X0 @ X3 @ X1 ) ) )
=> ( $true
= ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ X0 ) @ X1 ) ) ),
inference(fool_elimination,[],[f521]) ).
thf(f575,plain,
~ ( member449909584od_a_a @ ( product_Pair_a_a @ z @ y ) @ pr ),
inference(rectify,[],[f357]) ).
thf(f576,plain,
( ( member449909584od_a_a @ ( product_Pair_a_a @ z @ y ) @ pr )
!= $true ),
inference(fool_elimination,[],[f575]) ).
thf(f786,plain,
member_a @ z @ ( prefer161218362good_a @ y @ b @ pr ),
inference(rectify,[],[f1]) ).
thf(f787,plain,
( ( member_a @ z @ ( prefer161218362good_a @ y @ b @ pr ) )
= $true ),
inference(fool_elimination,[],[f786]) ).
thf(f984,plain,
( ( member449909584od_a_a @ ( product_Pair_a_a @ z @ y ) @ pr )
!= $true ),
inference(flattening,[],[f576]) ).
thf(f1080,plain,
! [X3: set_a,X0: a,X2: a,X1: set_Product_prod_a_a] :
( ( $true
= ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ X0 ) @ X1 ) )
| ( $true
!= ( member_a @ X2 @ ( prefer161218362good_a @ X0 @ X3 @ X1 ) ) ) ),
inference(ennf_transformation,[],[f522]) ).
thf(f1697,plain,
! [X0: set_a,X1: a,X2: a,X3: set_Product_prod_a_a] :
( ( $true
= ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ X1 ) @ X3 ) )
| ( ( member_a @ X2 @ ( prefer161218362good_a @ X1 @ X0 @ X3 ) )
!= $true ) ),
inference(rectify,[],[f1080]) ).
thf(f2012,plain,
( ( member_a @ z @ ( prefer161218362good_a @ y @ b @ pr ) )
= $true ),
inference(cnf_transformation,[],[f787]) ).
thf(f2029,plain,
( ( member449909584od_a_a @ ( product_Pair_a_a @ z @ y ) @ pr )
!= $true ),
inference(cnf_transformation,[],[f984]) ).
thf(f2227,plain,
! [X2: a,X3: set_Product_prod_a_a,X0: set_a,X1: a] :
( ( ( member_a @ X2 @ ( prefer161218362good_a @ X1 @ X0 @ X3 ) )
!= $true )
| ( $true
= ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ X1 ) @ X3 ) ) ),
inference(cnf_transformation,[],[f1697]) ).
thf(f2424,definition,
( spl139_8
<=> ( ( member_a @ z @ ( prefer161218362good_a @ y @ b @ pr ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl139_8])],[avatar_definition]) ).
thf(f2426,plain,
( ( ( member_a @ z @ ( prefer161218362good_a @ y @ b @ pr ) )
= $true )
| ~ spl139_8 ),
inference(avatar_component_clause,[],[f2424]) ).
thf(f2427,plain,
spl139_8,
inference(avatar_split_clause,[],[f2012,f2424]) ).
thf(f2534,definition,
( spl139_30
<=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ z @ y ) @ pr )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl139_30])],[avatar_definition]) ).
thf(f2536,plain,
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ z @ y ) @ pr )
!= $true )
| spl139_30 ),
inference(avatar_component_clause,[],[f2534]) ).
thf(f2537,plain,
~ spl139_30,
inference(avatar_split_clause,[],[f2029,f2534]) ).
thf(f2672,plain,
( ( $true != $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ z @ y ) @ pr )
= $true )
| ~ spl139_8 ),
inference(superposition,[],[f2227,f2426]) ).
thf(f2673,plain,
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ z @ y ) @ pr )
= $true )
| ~ spl139_8 ),
inference(trivial_inequality_removal,[],[f2672]) ).
thf(f2674,plain,
( $false
| ~ spl139_8
| spl139_30 ),
inference(forward_subsumption_resolution,[],[f2673,f2536]) ).
thf(f2675,plain,
( ~ spl139_8
| spl139_30 ),
inference(avatar_contradiction_clause,[],[f2674]) ).
cnf(s8,plain,
spl139_8,
inference(sat_conversion,[],[f2427]) ).
cnf(s31,plain,
~ spl139_30,
inference(sat_conversion,[],[f2537]) ).
cnf(s40,plain,
( ~ spl139_8
| spl139_30 ),
inference(sat_conversion,[],[f2675]) ).
cnf(s41,plain,
~ spl139_8,
inference(rat,[],[s40,s31]) ).
cnf(s42,plain,
$false,
inference(rat,[],[s8,s41]) ).
thf(f2676,plain,
$false,
inference(avatar_sat_refutation,[],[s42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP157^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n007.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 20:01:50 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.22/0.29 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
% 0.32/0.43 % (3857846)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.32/0.43 % (3857852)lrs+10_16_si=on:nwc=1.5:random_seed=3680790513:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.32/0.43 % (3857852)Instruction limit reached!
% 0.32/0.43 % (3857852)------------------------------
% 0.32/0.43 % (3857852)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.43 % (3857852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.43 % (3857852)CaDiCaL version: 2.1.3
% 0.32/0.43 % (3857852)Termination reason: Instruction limit
% 0.32/0.43 % (3857852)Termination phase: shuffling
% 0.32/0.43 % (3857852)Time elapsed: 0.005 s
% 0.32/0.43 % (3857852)Peak memory usage: 10 MB
% 0.32/0.43 % (3857852)Instructions burned: 20 (million)
% 0.32/0.43 % (3857857)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.32/0.43 % (3857857)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
% 0.32/0.43 % (3857851)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=269600772:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.32/0.43 % (3857853)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1347139345:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.32/0.43 % (3857855)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1595707973:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.32/0.43 % (3857854)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=914113859: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)
% 0.32/0.43 % (3857856)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3367645629:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.32/0.43 % (3857857)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=528228061:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.32/0.43 % (3857853)Instruction limit reached!
% 0.32/0.43 % (3857853)------------------------------
% 0.32/0.43 % (3857853)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.43 % (3857853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.43 % (3857853)CaDiCaL version: 2.1.3
% 0.32/0.43 % (3857853)Termination reason: Instruction limit
% 0.32/0.43 % (3857853)Termination phase: shuffling
% 0.32/0.43 % (3857853)Time elapsed: 0.002 s
% 0.32/0.43 % (3857853)Peak memory usage: 10 MB
% 0.32/0.43 % (3857853)Instructions burned: 4 (million)
% 0.32/0.43 % (3857859)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3396735190:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.32/0.43 % (3857859)Instruction limit reached!
% 0.32/0.43 % (3857859)------------------------------
% 0.32/0.43 % (3857859)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.43 % (3857859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.43 % (3857859)CaDiCaL version: 2.1.3
% 0.32/0.43 % (3857859)Termination reason: Instruction limit
% 0.32/0.43 % (3857859)Termination phase: shuffling
% 0.32/0.43 % (3857859)Time elapsed: 0.001 s
% 0.32/0.43 % (3857859)Peak memory usage: 10 MB
% 0.32/0.43 % (3857859)Instructions burned: 4 (million)
% 0.32/0.43 % (3857855)Instruction limit reached!
% 0.32/0.43 % (3857855)------------------------------
% 0.32/0.43 % (3857855)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.43 % (3857855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.43 % (3857855)CaDiCaL version: 2.1.3
% 0.32/0.43 % (3857855)Termination reason: Instruction limit
% 0.32/0.43 % (3857855)Termination phase: shuffling
% 0.32/0.43 % (3857855)Time elapsed: 0.011 s
% 0.32/0.43 % (3857855)Peak memory usage: 10 MB
% 0.32/0.43 % (3857855)Instructions burned: 25 (million)
% 0.32/0.43 % (3857868)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.32/0.44 % (3857868)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1670354925:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.32/0.44 % (3857868)Instruction limit reached!
% 0.32/0.44 % (3857868)------------------------------
% 0.32/0.44 % (3857868)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.44 % (3857868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.44 % (3857868)CaDiCaL version: 2.1.3
% 0.32/0.44 % (3857868)Termination reason: Instruction limit
% 0.32/0.44 % (3857868)Termination phase: shuffling
% 0.32/0.44 % (3857868)Time elapsed: 0.002 s
% 0.32/0.44 % (3857868)Peak memory usage: 10 MB
% 0.32/0.44 % (3857868)Instructions burned: 8 (million)
% 0.32/0.44 % (3857866)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3986858972:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.32/0.44 % (3857866)Instruction limit reached!
% 0.32/0.44 % (3857866)------------------------------
% 0.32/0.44 % (3857866)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.44 % (3857866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.44 % (3857866)CaDiCaL version: 2.1.3
% 0.32/0.44 % (3857866)Termination reason: Instruction limit
% 0.32/0.44 % (3857866)Termination phase: shuffling
% 0.32/0.44 % (3857866)Time elapsed: 0.003 s
% 0.32/0.44 % (3857866)Peak memory usage: 10 MB
% 0.32/0.44 % (3857866)Instructions burned: 5 (million)
% 0.32/0.44 % (3857869)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3643080357:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.32/0.44 % (3857872)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
% 0.32/0.44 % (3857856)Instruction limit reached!
% 0.32/0.44 % (3857856)------------------------------
% 0.32/0.44 % (3857856)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.44 % (3857872)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.32/0.44 % (3857856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.44 % (3857856)CaDiCaL version: 2.1.3
% 0.32/0.44 % (3857856)Termination reason: Instruction limit
% 0.32/0.44 % (3857856)Termination phase: Clausification
% 0.32/0.44 % (3857856)Time elapsed: 0.036 s
% 0.32/0.44 % (3857856)Peak memory usage: 12 MB
% 0.32/0.44 % (3857856)Instructions burned: 75 (million)
% 0.32/0.44 % (3857869)Instruction limit reached!
% 0.32/0.44 % (3857869)------------------------------
% 0.32/0.44 % (3857869)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.44 % (3857869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.44 % (3857869)CaDiCaL version: 2.1.3
% 0.32/0.44 % (3857869)Termination reason: Instruction limit
% 0.32/0.44 % (3857869)Termination phase: shuffling
% 0.32/0.44 % (3857869)Time elapsed: 0.006 s
% 0.32/0.44 % (3857869)Peak memory usage: 10 MB
% 0.32/0.44 % (3857869)Instructions burned: 13 (million)
% 0.32/0.44 % (3857851)Instruction limit reached!
% 0.32/0.44 % (3857851)------------------------------
% 0.32/0.44 % (3857851)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.44 % (3857851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.44 % (3857851)CaDiCaL version: 2.1.3
% 0.32/0.44 % (3857851)Termination reason: Instruction limit
% 0.32/0.44 % (3857851)Termination phase: Property scanning
% 0.32/0.44 % (3857851)Time elapsed: 0.041 s
% 0.32/0.44 % (3857851)Peak memory usage: 12 MB
% 0.32/0.44 % (3857851)Instructions burned: 89 (million)
% 0.32/0.44 % (3857872)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3492044435:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.32/0.44 % (3857873)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=2303163625:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.32/0.44 % (3857876)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.32/0.44 % (3857872)Instruction limit reached!
% 0.32/0.44 % (3857872)------------------------------
% 0.32/0.44 % (3857872)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.44 % (3857872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.44 % (3857872)CaDiCaL version: 2.1.3
% 0.32/0.44 % (3857872)Termination reason: Instruction limit
% 0.32/0.44 % (3857872)Termination phase: shuffling
% 0.32/0.44 % (3857872)Time elapsed: 0.012 s
% 0.32/0.44 % (3857872)Peak memory usage: 11 MB
% 0.32/0.44 % (3857872)Instructions burned: 28 (million)
% 0.32/0.44 % (3857875)lrs+10_1_si=on:cs=on:random_seed=4018568771:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.32/0.44 % (3857876)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=3401960477:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.32/0.44 % (3857878)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3005341038:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.32/0.44 % (3857876)Instruction limit reached!
% 0.32/0.44 % (3857876)------------------------------
% 0.32/0.44 % (3857876)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.44 % (3857876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.44 % (3857876)CaDiCaL version: 2.1.3
% 0.32/0.44 % (3857876)Termination reason: Instruction limit
% 0.32/0.44 % (3857876)Termination phase: shuffling
% 0.32/0.44 % (3857876)Time elapsed: 0.002 s
% 0.32/0.44 % (3857876)Peak memory usage: 10 MB
% 0.32/0.44 % (3857876)Instructions burned: 3 (million)
% 0.32/0.44 % (3857875)Instruction limit reached!
% 0.32/0.44 % (3857875)------------------------------
% 0.32/0.44 % (3857875)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.44 % (3857875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.44 % (3857875)CaDiCaL version: 2.1.3
% 0.32/0.44 % (3857875)Termination reason: Instruction limit
% 0.32/0.44 % (3857875)Termination phase: shuffling
% 0.32/0.44 % (3857875)Time elapsed: 0.004 s
% 0.32/0.44 % (3857875)Peak memory usage: 10 MB
% 0.32/0.44 % (3857875)Instructions burned: 8 (million)
% 0.32/0.44 % (3857857)Instruction limit reached!
% 0.32/0.44 % (3857857)------------------------------
% 0.32/0.44 % (3857857)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.44 % (3857857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.44 % (3857857)CaDiCaL version: 2.1.3
% 0.32/0.44 % (3857857)Termination reason: Instruction limit
% 0.32/0.44 % (3857857)Termination phase: Saturation
% 0.32/0.44 % (3857857)Time elapsed: 0.070 s
% 0.32/0.44 % (3857857)Peak memory usage: 14 MB
% 0.32/0.44 % (3857857)Instructions burned: 158 (million)
% 0.32/0.44 % (3857880)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2902317179:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.32/0.44 % (3857878)Instruction limit reached!
% 0.32/0.44 % (3857878)------------------------------
% 0.32/0.44 % (3857878)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.44 % (3857878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.44 % (3857878)CaDiCaL version: 2.1.3
% 0.32/0.44 % (3857878)Termination reason: Instruction limit
% 0.32/0.44 % (3857878)Termination phase: Property scanning
% 0.32/0.44 % (3857878)Time elapsed: 0.017 s
% 0.32/0.44 % (3857878)Peak memory usage: 11 MB
% 0.32/0.44 % (3857878)Instructions burned: 38 (million)
% 0.32/0.44 % (3857884)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=270346972:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.32/0.44 % (3857885)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3916545732:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.32/0.44 % (3857886)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2098002829:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.32/0.44 % (3857873)Instruction limit reached!
% 0.32/0.44 % (3857873)------------------------------
% 0.32/0.44 % (3857873)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.44 % (3857873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.44 % (3857873)CaDiCaL version: 2.1.3
% 0.32/0.44 % (3857873)Termination reason: Instruction limit
% 0.32/0.44 % (3857873)Termination phase: Property scanning
% 0.32/0.44 % (3857873)Time elapsed: 0.040 s
% 0.32/0.44 % (3857873)Peak memory usage: 12 MB
% 0.32/0.44 % (3857873)Instructions burned: 94 (million)
% 0.32/0.44 % (3857854) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3857846-3857854"...
% 0.32/0.44 % (3857885)Instruction limit reached!
% 0.32/0.44 % (3857885)------------------------------
% 0.32/0.44 % (3857885)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.44 % (3857885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.44 % (3857885)CaDiCaL version: 2.1.3
% 0.32/0.44 % (3857885)Termination reason: Instruction limit
% 0.32/0.44 % (3857885)Termination phase: shuffling
% 0.32/0.44 % (3857885)Time elapsed: 0.007 s
% 0.32/0.44 % (3857885)Peak memory usage: 10 MB
% 0.32/0.44 % (3857885)Instructions burned: 15 (million)
% 0.32/0.44 % (3857854)...printing done.
% 0.32/0.44 % (3857854)Refutation found. Thanks to Tanya!
% 0.32/0.44 % SZS status Theorem for theBenchmark
% 0.32/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.32/0.44 % (3857854)------------------------------
% 0.32/0.44 % (3857854)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.44 % (3857854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.44 % (3857854)CaDiCaL version: 2.1.3
% 0.32/0.44 % (3857854)Termination reason: Refutation
% 0.32/0.44 % (3857854)Time elapsed: 0.086 s
% 0.32/0.44 % (3857854)Peak memory usage: 15 MB
% 0.32/0.44 % (3857854)Instructions burned: 182 (million)
% 0.32/0.44 % (3857846)Success in time 0.142 s
% 0.32/0.44 % Vampire exiting
%------------------------------------------------------------------------------