%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:10:55 AM UTC 2026
% Result : Theorem 7.03s 1.40s
% Output : Refutation 7.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 36 ( 25 unt; 0 typ; 2 def)
% Number of atoms : 122 ( 38 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 225 ( 14 ~; 9 |; 8 &; 191 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Number of types : 31 ( 30 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 362 ( 359 usr; 17 con; 0-4 aty)
% Number of variables : 63 ( 32 ^; 31 !; 0 ?; 63 :)
% 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,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_145,type,
vAND: $o > $o > $o ).
thf(func_def_146,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_147,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_148,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_149,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_150,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_151,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_152,type,
vIMP: $o > $o > $o ).
thf(func_def_153,type,
vNOT: $o > $o ).
thf(func_def_154,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_155,type,
vOR: $o > $o > $o ).
thf(func_def_156,type,
sK0: produc2010915495od_a_a > produc1921647824od_a_a ).
thf(func_def_157,type,
sK1: produc2010915495od_a_a > produc1921647824od_a_a ).
thf(func_def_158,type,
sK2: produc772425383od_a_a > product_prod_a_a ).
thf(func_def_159,type,
sK3: produc772425383od_a_a > produc1572603623od_a_a ).
thf(func_def_160,type,
sK4: produc1016684094_a_a_a > product_prod_a_a ).
thf(func_def_161,type,
sK5: produc1016684094_a_a_a > a ).
thf(func_def_162,type,
sK6: produc1555800720od_a_a > a ).
thf(func_def_163,type,
sK7: produc1555800720od_a_a > produc1572603623od_a_a ).
thf(func_def_164,type,
sK8: produc1921647824od_a_a > a ).
thf(func_def_165,type,
sK9: produc1921647824od_a_a > product_prod_a_a ).
thf(func_def_166,type,
sK10: produc1572603623od_a_a > product_prod_a_a ).
thf(func_def_167,type,
sK11: produc1572603623od_a_a > product_prod_a_a ).
thf(func_def_168,type,
sK12: product_prod_a_a > a ).
thf(func_def_169,type,
sK13: product_prod_a_a > a ).
thf(func_def_170,type,
sK14: ( produc2010915495od_a_a > $o ) > produc1921647824od_a_a ).
thf(func_def_171,type,
sK15: ( produc2010915495od_a_a > $o ) > produc1921647824od_a_a ).
thf(func_def_172,type,
sK16: ( produc772425383od_a_a > $o ) > product_prod_a_a ).
thf(func_def_173,type,
sK17: ( produc772425383od_a_a > $o ) > produc1572603623od_a_a ).
thf(func_def_174,type,
sK18: ( produc1016684094_a_a_a > $o ) > product_prod_a_a ).
thf(func_def_175,type,
sK19: ( produc1016684094_a_a_a > $o ) > a ).
thf(func_def_176,type,
sK20: ( produc1555800720od_a_a > $o ) > a ).
thf(func_def_177,type,
sK21: ( produc1555800720od_a_a > $o ) > produc1572603623od_a_a ).
thf(func_def_178,type,
sK22: ( produc1921647824od_a_a > $o ) > a ).
thf(func_def_179,type,
sK23: ( produc1921647824od_a_a > $o ) > product_prod_a_a ).
thf(func_def_180,type,
sK24: ( produc1572603623od_a_a > $o ) > product_prod_a_a ).
thf(func_def_181,type,
sK25: ( produc1572603623od_a_a > $o ) > product_prod_a_a ).
thf(func_def_182,type,
sK26: ( product_prod_a_a > $o ) > a ).
thf(func_def_183,type,
sK27: ( product_prod_a_a > $o ) > a ).
thf(func_def_184,type,
sK28: produc772425383od_a_a > product_prod_a_a ).
thf(func_def_185,type,
sK29: produc772425383od_a_a > product_prod_a_a ).
thf(func_def_186,type,
sK30: produc772425383od_a_a > product_prod_a_a ).
thf(func_def_187,type,
sK31: produc1555800720od_a_a > a ).
thf(func_def_188,type,
sK32: produc1555800720od_a_a > product_prod_a_a ).
thf(func_def_189,type,
sK33: produc1555800720od_a_a > product_prod_a_a ).
thf(func_def_190,type,
sK34: produc1921647824od_a_a > a ).
thf(func_def_191,type,
sK35: produc1921647824od_a_a > a ).
thf(func_def_192,type,
sK36: produc1921647824od_a_a > a ).
thf(func_def_193,type,
sK37: produc1572603623od_a_a > product_prod_a_a ).
thf(func_def_194,type,
sK38: produc1572603623od_a_a > a ).
thf(func_def_195,type,
sK39: produc1572603623od_a_a > a ).
thf(func_def_196,type,
sK40: ( produc1572603623od_a_a > $o ) > product_prod_a_a ).
thf(func_def_197,type,
sK41: ( produc1572603623od_a_a > $o ) > a ).
thf(func_def_198,type,
sK42: ( produc1572603623od_a_a > $o ) > a ).
thf(func_def_199,type,
sK43: ( product_prod_a_a > $o ) > a ).
thf(func_def_200,type,
sK44: ( product_prod_a_a > $o ) > a ).
thf(func_def_201,type,
sK45: ( produc1572603623od_a_a > $o ) > product_prod_a_a ).
thf(func_def_202,type,
sK46: ( produc1572603623od_a_a > $o ) > product_prod_a_a ).
thf(func_def_203,type,
sK47: product_prod_a_a > a ).
thf(func_def_204,type,
sK48: product_prod_a_a > a ).
thf(func_def_205,type,
sK49: produc1572603623od_a_a > product_prod_a_a ).
thf(func_def_206,type,
sK50: produc1572603623od_a_a > product_prod_a_a ).
thf(func_def_207,type,
sK51: set_Pr1948701895od_a_a > set_Pr1295299783od_a_a > produc1572603623od_a_a ).
thf(func_def_208,type,
sK52: set_Pr1948701895od_a_a > set_Pr1295299783od_a_a > produc1572603623od_a_a ).
thf(func_def_209,type,
sK53: set_Pr1948701895od_a_a > set_Pr1295299783od_a_a > produc1572603623od_a_a ).
thf(func_def_210,type,
sK54: set_Pr1948701895od_a_a > set_Pr1295299783od_a_a > produc1572603623od_a_a ).
thf(func_def_211,type,
sK55: set_a > set_Product_prod_a_a > a ).
thf(func_def_212,type,
sK56: set_a > set_Product_prod_a_a > a ).
thf(func_def_213,type,
sK57: set_a > set_Product_prod_a_a > a ).
thf(func_def_214,type,
sK58: set_a > set_Product_prod_a_a > a ).
thf(func_def_215,type,
sK59: set_Product_prod_a_a > set_Pr1948701895od_a_a > product_prod_a_a ).
thf(func_def_216,type,
sK60: set_Product_prod_a_a > set_Pr1948701895od_a_a > product_prod_a_a ).
thf(func_def_217,type,
sK61: set_Product_prod_a_a > set_Pr1948701895od_a_a > product_prod_a_a ).
thf(func_def_218,type,
sK62: set_Product_prod_a_a > set_Pr1948701895od_a_a > product_prod_a_a ).
thf(func_def_219,type,
sK63: set_Product_prod_a_a > ( product_prod_a_a > product_prod_a_a ) > product_prod_a_a > product_prod_a_a ).
thf(func_def_220,type,
sK64: set_a > ( a > product_prod_a_a ) > product_prod_a_a > a ).
thf(func_def_221,type,
sK65: set_Pr1948701895od_a_a > ( produc1572603623od_a_a > product_prod_a_a ) > product_prod_a_a > produc1572603623od_a_a ).
thf(func_def_222,type,
sK66: set_Product_prod_a_a > ( product_prod_a_a > a ) > a > product_prod_a_a ).
thf(func_def_223,type,
sK67: set_a > ( a > a ) > a > a ).
thf(func_def_224,type,
sK68: set_Pr1948701895od_a_a > ( produc1572603623od_a_a > a ) > a > produc1572603623od_a_a ).
thf(func_def_225,type,
sK69: set_Product_prod_a_a > ( product_prod_a_a > produc1572603623od_a_a ) > produc1572603623od_a_a > product_prod_a_a ).
thf(func_def_226,type,
sK70: set_a > ( a > produc1572603623od_a_a ) > produc1572603623od_a_a > a ).
thf(func_def_227,type,
sK71: set_Pr1948701895od_a_a > ( produc1572603623od_a_a > produc1572603623od_a_a ) > produc1572603623od_a_a > produc1572603623od_a_a ).
thf(func_def_228,type,
sK72: product_prod_a_a ).
thf(func_def_229,type,
sK73: a ).
thf(func_def_230,type,
sK74: produc1572603623od_a_a ).
thf(func_def_231,type,
sK75: set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_232,type,
sK76: set_a > a ).
thf(func_def_233,type,
sK77: set_Pr1948701895od_a_a > produc1572603623od_a_a ).
thf(func_def_234,type,
sK78: set_Product_prod_a_a > ( a > a ) > ( a > a ) > product_prod_a_a > a ).
thf(func_def_235,type,
sK79: set_Product_prod_a_a > ( a > a ) > ( a > a ) > product_prod_a_a > a ).
thf(func_def_236,type,
sK80: set_Pr1948701895od_a_a > ( product_prod_a_a > a ) > ( product_prod_a_a > a ) > product_prod_a_a > product_prod_a_a ).
thf(func_def_237,type,
sK81: set_Pr1948701895od_a_a > ( product_prod_a_a > a ) > ( product_prod_a_a > a ) > product_prod_a_a > product_prod_a_a ).
thf(func_def_238,type,
sK82: set_Product_prod_a_a > ( a > product_prod_a_a ) > ( a > product_prod_a_a ) > produc1572603623od_a_a > a ).
thf(func_def_239,type,
sK83: set_Product_prod_a_a > ( a > product_prod_a_a ) > ( a > product_prod_a_a ) > produc1572603623od_a_a > a ).
thf(func_def_240,type,
sK84: set_Pr1948701895od_a_a > ( product_prod_a_a > product_prod_a_a ) > ( product_prod_a_a > product_prod_a_a ) > produc1572603623od_a_a > product_prod_a_a ).
thf(func_def_241,type,
sK85: set_Pr1948701895od_a_a > ( product_prod_a_a > product_prod_a_a ) > ( product_prod_a_a > product_prod_a_a ) > produc1572603623od_a_a > product_prod_a_a ).
thf(func_def_242,type,
sK86: ( product_prod_a_a > set_a ) > set_Product_prod_a_a > produc1016684094_a_a_a > product_prod_a_a ).
thf(func_def_243,type,
sK87: ( product_prod_a_a > set_a ) > set_Product_prod_a_a > produc1016684094_a_a_a > a ).
thf(func_def_244,type,
sK88: ( product_prod_a_a > set_Pr1948701895od_a_a ) > set_Product_prod_a_a > produc772425383od_a_a > product_prod_a_a ).
thf(func_def_245,type,
sK89: ( product_prod_a_a > set_Pr1948701895od_a_a ) > set_Product_prod_a_a > produc772425383od_a_a > produc1572603623od_a_a ).
thf(func_def_246,type,
sK90: ( a > set_Product_prod_a_a ) > set_a > produc1921647824od_a_a > a ).
thf(func_def_247,type,
sK91: ( a > set_Product_prod_a_a ) > set_a > produc1921647824od_a_a > product_prod_a_a ).
thf(func_def_248,type,
sK92: ( a > set_Pr1948701895od_a_a ) > set_a > produc1555800720od_a_a > a ).
thf(func_def_249,type,
sK93: ( a > set_Pr1948701895od_a_a ) > set_a > produc1555800720od_a_a > produc1572603623od_a_a ).
thf(func_def_250,type,
sK94: ( produc1572603623od_a_a > set_Product_prod_a_a ) > set_Pr1948701895od_a_a > produc47586087od_a_a > produc1572603623od_a_a ).
thf(func_def_251,type,
sK95: ( produc1572603623od_a_a > set_Product_prod_a_a ) > set_Pr1948701895od_a_a > produc47586087od_a_a > product_prod_a_a ).
thf(func_def_252,type,
sK96: ( produc1572603623od_a_a > set_a ) > set_Pr1948701895od_a_a > produc1683075710_a_a_a > produc1572603623od_a_a ).
thf(func_def_253,type,
sK97: ( produc1572603623od_a_a > set_a ) > set_Pr1948701895od_a_a > produc1683075710_a_a_a > a ).
thf(func_def_254,type,
sK98: ( produc1572603623od_a_a > set_Pr1948701895od_a_a ) > set_Pr1948701895od_a_a > produc1990712039od_a_a > produc1572603623od_a_a ).
thf(func_def_255,type,
sK99: ( produc1572603623od_a_a > set_Pr1948701895od_a_a ) > set_Pr1948701895od_a_a > produc1990712039od_a_a > produc1572603623od_a_a ).
thf(func_def_256,type,
sK100: ( a > set_a ) > set_a > product_prod_a_a > a ).
thf(func_def_257,type,
sK101: ( a > set_a ) > set_a > product_prod_a_a > a ).
thf(func_def_258,type,
sK102: ( product_prod_a_a > set_Product_prod_a_a ) > set_Product_prod_a_a > produc1572603623od_a_a > product_prod_a_a ).
thf(func_def_259,type,
sK103: ( product_prod_a_a > set_Product_prod_a_a ) > set_Product_prod_a_a > produc1572603623od_a_a > product_prod_a_a ).
thf(func_def_260,type,
sK104: set_Product_prod_a_a > set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_261,type,
sK105: set_a > set_a > a ).
thf(func_def_262,type,
sK106: set_Pr1948701895od_a_a > set_Pr1948701895od_a_a > produc1572603623od_a_a ).
thf(func_def_263,type,
sK107: set_Product_prod_a_a > ( product_prod_a_a > product_prod_a_a ) > set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_264,type,
sK108: set_a > ( product_prod_a_a > a ) > set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_265,type,
sK109: set_Pr1948701895od_a_a > ( product_prod_a_a > produc1572603623od_a_a ) > set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_266,type,
sK110: set_Product_prod_a_a > ( a > product_prod_a_a ) > set_a > a ).
thf(func_def_267,type,
sK111: set_a > ( a > a ) > set_a > a ).
thf(func_def_268,type,
sK112: set_Pr1948701895od_a_a > ( a > produc1572603623od_a_a ) > set_a > a ).
thf(func_def_269,type,
sK113: set_Product_prod_a_a > ( produc1572603623od_a_a > product_prod_a_a ) > set_Pr1948701895od_a_a > produc1572603623od_a_a ).
thf(func_def_270,type,
sK114: set_a > ( produc1572603623od_a_a > a ) > set_Pr1948701895od_a_a > produc1572603623od_a_a ).
thf(func_def_271,type,
sK115: set_Pr1948701895od_a_a > ( produc1572603623od_a_a > produc1572603623od_a_a ) > set_Pr1948701895od_a_a > produc1572603623od_a_a ).
thf(func_def_272,type,
sK116: set_Product_prod_a_a > set_Product_prod_a_a > a ).
thf(func_def_273,type,
sK117: set_Product_prod_a_a > set_Product_prod_a_a > a ).
thf(func_def_274,type,
sK118: set_Pr1948701895od_a_a > set_Pr1948701895od_a_a > product_prod_a_a ).
thf(func_def_275,type,
sK119: set_Pr1948701895od_a_a > set_Pr1948701895od_a_a > product_prod_a_a ).
thf(func_def_276,type,
sK120: ( product_prod_a_a > $o ) > ( product_prod_a_a > $o ) > set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_277,type,
sK121: ( a > $o ) > ( a > $o ) > set_a > a ).
thf(func_def_278,type,
sK122: ( produc1572603623od_a_a > $o ) > ( produc1572603623od_a_a > $o ) > set_Pr1948701895od_a_a > produc1572603623od_a_a ).
thf(func_def_279,type,
sK123: set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_280,type,
sK124: set_a > a ).
thf(func_def_281,type,
sK125: set_Pr1948701895od_a_a > produc1572603623od_a_a ).
thf(func_def_282,type,
sF126: product_prod_a_a ).
thf(func_def_283,type,
sF127: $o ).
thf(func_def_284,type,
sK128: set_Pr1948701895od_a_a > produc1572603623od_a_a ).
thf(func_def_285,type,
sK129: set_a > a ).
thf(func_def_286,type,
sK130: set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_287,type,
sK131: set_Pr1948701895od_a_a > produc1572603623od_a_a ).
thf(func_def_288,type,
sK132: set_a > a ).
thf(func_def_289,type,
sK133: set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_290,type,
sK134: set_Pr1948701895od_a_a > set_Pr1948701895od_a_a > produc1572603623od_a_a ).
thf(func_def_291,type,
sK135: set_Product_prod_a_a > set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_292,type,
sK136: set_Pr1948701895od_a_a > set_Pr1948701895od_a_a > produc1572603623od_a_a ).
thf(func_def_293,type,
sK137: set_a > set_a > a ).
thf(func_def_294,type,
sK138: set_Product_prod_a_a > set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_295,type,
sK139: set_Pr1948701895od_a_a > set_Pr1948701895od_a_a > produc1572603623od_a_a ).
thf(func_def_296,type,
sK140: set_Pr1948701895od_a_a > set_Pr1948701895od_a_a > produc1572603623od_a_a ).
thf(func_def_297,type,
sK141: set_Pr1948701895od_a_a > set_Pr1948701895od_a_a > produc1572603623od_a_a ).
thf(func_def_298,type,
sK142: set_a > set_a > a ).
thf(func_def_299,type,
sK143: set_a > set_a > a ).
thf(func_def_300,type,
sK144: set_a > set_a > a ).
thf(func_def_301,type,
sK145: set_Product_prod_a_a > set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_302,type,
sK146: set_Product_prod_a_a > set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_303,type,
sK147: set_Product_prod_a_a > set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_304,type,
sK148: set_Pr1948701895od_a_a > ( produc1572603623od_a_a > $o ) > produc1572603623od_a_a ).
thf(func_def_305,type,
sK149: set_Pr1948701895od_a_a > set_Pr1948701895od_a_a > produc1572603623od_a_a ).
thf(func_def_306,type,
sK150: set_Pr1948701895od_a_a > set_Pr1948701895od_a_a > produc1572603623od_a_a ).
thf(func_def_307,type,
sK151: set_Pr1948701895od_a_a > set_Pr1948701895od_a_a > produc1572603623od_a_a ).
thf(func_def_308,type,
sK152: set_Pr1948701895od_a_a > set_Pr1948701895od_a_a > ( produc1572603623od_a_a > $o ) > produc1572603623od_a_a ).
thf(func_def_309,type,
sK153: set_a > ( a > $o ) > a ).
thf(func_def_310,type,
sK154: set_a > set_a > a ).
thf(func_def_311,type,
sK155: set_a > set_a > a ).
thf(func_def_312,type,
sK156: set_a > set_a > a ).
thf(func_def_313,type,
sK157: set_a > set_a > ( a > $o ) > a ).
thf(func_def_314,type,
sK158: set_Product_prod_a_a > ( product_prod_a_a > $o ) > product_prod_a_a ).
thf(func_def_315,type,
sK159: set_Product_prod_a_a > set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_316,type,
sK160: set_Product_prod_a_a > set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_317,type,
sK161: set_Product_prod_a_a > set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_318,type,
sK162: set_Product_prod_a_a > set_Product_prod_a_a > ( product_prod_a_a > $o ) > product_prod_a_a ).
thf(func_def_319,type,
sK163: ( produc1572603623od_a_a > $o ) > set_Pr1948701895od_a_a > set_Pr1948701895od_a_a > produc1572603623od_a_a ).
thf(func_def_320,type,
sK164: ( a > $o ) > set_a > set_a > a ).
thf(func_def_321,type,
sK165: ( product_prod_a_a > $o ) > set_Product_prod_a_a > set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_322,type,
sK166: set_Pr1948701895od_a_a > set_Pr1948701895od_a_a > produc1572603623od_a_a ).
thf(func_def_323,type,
sK167: set_a > set_a > a ).
thf(func_def_324,type,
sK168: set_Product_prod_a_a > set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_325,type,
sK169: set_Pr1948701895od_a_a > set_Pr1948701895od_a_a > produc1572603623od_a_a ).
thf(func_def_326,type,
sK170: set_a > set_a > a ).
thf(func_def_327,type,
sK171: set_Product_prod_a_a > set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_328,type,
sK172: produc1572603623od_a_a > product_prod_a_a > product_prod_a_a ).
thf(func_def_329,type,
sK173: product_prod_a_a > a > a ).
thf(func_def_330,type,
sK174: produc1572603623od_a_a > product_prod_a_a > product_prod_a_a ).
thf(func_def_331,type,
sK175: product_prod_a_a > a > a ).
thf(func_def_332,type,
sK176: set_Pr1948701895od_a_a > set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_333,type,
sK177: set_Pr1948701895od_a_a > set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_334,type,
sK178: set_Pr1948701895od_a_a > set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_335,type,
sK179: set_Pr1948701895od_a_a > set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_336,type,
sK180: set_Product_prod_a_a > set_a > a ).
thf(func_def_337,type,
sK181: set_Product_prod_a_a > set_a > a ).
thf(func_def_338,type,
sK182: set_Product_prod_a_a > set_a > a ).
thf(func_def_339,type,
sK183: set_Product_prod_a_a > set_a > a ).
thf(func_def_340,type,
sK184: set_Pr1295299783od_a_a > set_Pr1948701895od_a_a > produc1572603623od_a_a ).
thf(func_def_341,type,
sK185: set_Pr1295299783od_a_a > set_Pr1948701895od_a_a > produc1572603623od_a_a ).
thf(func_def_342,type,
sK186: set_Pr1295299783od_a_a > set_Pr1948701895od_a_a > produc1572603623od_a_a ).
thf(func_def_343,type,
sK187: set_Pr1295299783od_a_a > set_Pr1948701895od_a_a > produc1572603623od_a_a ).
thf(func_def_344,type,
sK188: set_Pr1948701895od_a_a > set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_345,type,
sK189: set_Pr1948701895od_a_a > set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_346,type,
sK190: set_Pr1948701895od_a_a > set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_347,type,
sK191: set_Pr1948701895od_a_a > set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_348,type,
sK192: set_Pr1948701895od_a_a > set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_349,type,
sK193: set_Pr1948701895od_a_a > set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_350,type,
sK194: set_Pr1948701895od_a_a > set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_351,type,
sK195: set_Pr1948701895od_a_a > set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_352,type,
sK196: set_Product_prod_a_a > set_a > a ).
thf(func_def_353,type,
sK197: set_Product_prod_a_a > set_a > a ).
thf(func_def_354,type,
sK198: set_Product_prod_a_a > set_a > a ).
thf(func_def_355,type,
sK199: set_Product_prod_a_a > set_a > a ).
thf(func_def_356,type,
sK200: set_Product_prod_a_a > set_a > a ).
thf(func_def_357,type,
sK201: set_Product_prod_a_a > set_a > a ).
thf(func_def_358,type,
sK202: set_Product_prod_a_a > set_a > a ).
thf(func_def_359,type,
sK203: set_Product_prod_a_a > set_a > a ).
thf(func_def_360,type,
sK204: set_Product_prod_a_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,
! [X0: a,X1: a,X2: set_a,X3: set_Product_prod_a_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(f55,axiom,
( prefer161218362good_a
= ( ^ [X0: a,X1: set_a,X2: set_Product_prod_a_a] :
( collect_a
@ ^ [X3: a] :
( ( member449909584od_a_a @ ( product_Pair_a_a @ X3 @ X0 ) @ X2 )
& ( member_a @ X3 @ X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_54_at__least__as__good__def) ).
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(f358,plain,
member_a @ z @ ( prefer161218362good_a @ y @ b @ pr ),
inference(rectify,[],[f1]) ).
thf(f359,plain,
( ( member_a @ z @ ( prefer161218362good_a @ y @ b @ pr ) )
= $true ),
inference(fool_elimination,[],[f358]) ).
thf(f374,plain,
! [X0: a,X1: a,X2: set_a,X3: set_Product_prod_a_a] :
( ( member_a @ X0 @ ( prefer161218362good_a @ X1 @ X2 @ X3 ) )
=> ( member449909584od_a_a @ ( product_Pair_a_a @ X0 @ X1 ) @ X3 ) ),
inference(rectify,[],[f9]) ).
thf(f375,plain,
! [X0: a,X1: a,X2: set_a,X3: set_Product_prod_a_a] :
( ( ( member_a @ X0 @ ( prefer161218362good_a @ X1 @ X2 @ X3 ) )
= $true )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ X0 @ X1 ) @ X3 )
= $true ) ),
inference(fool_elimination,[],[f374]) ).
thf(f412,plain,
( prefer161218362good_a
= ( ^ [X0: a,X1: set_a,X2: set_Product_prod_a_a] :
( collect_a
@ ^ [X3: a] :
( ( member449909584od_a_a @ ( product_Pair_a_a @ X3 @ X0 ) @ X2 )
& ( member_a @ X3 @ X1 ) ) ) ) ),
inference(rectify,[],[f55]) ).
thf(f413,plain,
( prefer161218362good_a
= ( ^ [Y0: a,Y1: set_a,Y2: set_Product_prod_a_a] :
( collect_a
@ ^ [Y3: a] :
( ( member_a @ Y3 @ Y1 )
& ( member449909584od_a_a @ ( product_Pair_a_a @ Y3 @ Y0 ) @ Y2 ) ) ) ) ),
inference(fool_elimination,[],[f412]) ).
thf(f945,plain,
~ ( member449909584od_a_a @ ( product_Pair_a_a @ z @ y ) @ pr ),
inference(rectify,[],[f357]) ).
thf(f946,plain,
( ( member449909584od_a_a @ ( product_Pair_a_a @ z @ y ) @ pr )
!= $true ),
inference(fool_elimination,[],[f945]) ).
thf(f987,plain,
( ( member449909584od_a_a @ ( product_Pair_a_a @ z @ y ) @ pr )
!= $true ),
inference(flattening,[],[f946]) ).
thf(f995,plain,
! [X0: a,X1: a,X2: set_a,X3: set_Product_prod_a_a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ X0 @ X1 ) @ X3 )
= $true )
| ( ( member_a @ X0 @ ( prefer161218362good_a @ X1 @ X2 @ X3 ) )
!= $true ) ),
inference(ennf_transformation,[],[f375]) ).
thf(f1327,plain,
( ( member_a @ z @ ( prefer161218362good_a @ y @ b @ pr ) )
= $true ),
inference(cnf_transformation,[],[f359]) ).
thf(f1335,plain,
! [X2: set_a,X3: set_Product_prod_a_a,X0: a,X1: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ X0 @ X1 ) @ X3 )
= $true )
| ( ( member_a @ X0 @ ( prefer161218362good_a @ X1 @ X2 @ X3 ) )
!= $true ) ),
inference(cnf_transformation,[],[f995]) ).
thf(f1388,plain,
( prefer161218362good_a
= ( ^ [Y0: a,Y1: set_a,Y2: set_Product_prod_a_a] :
( collect_a
@ ^ [Y3: a] :
( ( member_a @ Y3 @ Y1 )
& ( member449909584od_a_a @ ( product_Pair_a_a @ Y3 @ Y0 ) @ Y2 ) ) ) ) ),
inference(cnf_transformation,[],[f413]) ).
thf(f1765,plain,
( ( member449909584od_a_a @ ( product_Pair_a_a @ z @ y ) @ pr )
!= $true ),
inference(cnf_transformation,[],[f987]) ).
thf(f1768,plain,
( $true
= ( member_a @ z
@ ( ^ [Y0: a,Y1: set_a,Y2: set_Product_prod_a_a] :
( collect_a
@ ^ [Y3: a] :
( ( member_a @ Y3 @ Y1 )
& ( member449909584od_a_a @ ( product_Pair_a_a @ Y3 @ Y0 ) @ Y2 ) ) )
@ y
@ b
@ pr ) ) ),
inference(definition_unfolding,[],[f1327,f1388]) ).
thf(f1771,plain,
! [X2: set_a,X3: set_Product_prod_a_a,X0: a,X1: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ X0 @ X1 ) @ X3 )
= $true )
| ( $true
!= ( member_a @ X0
@ ( ^ [Y0: a,Y1: set_a,Y2: set_Product_prod_a_a] :
( collect_a
@ ^ [Y3: a] :
( ( member_a @ Y3 @ Y1 )
& ( member449909584od_a_a @ ( product_Pair_a_a @ Y3 @ Y0 ) @ Y2 ) ) )
@ X1
@ X2
@ X3 ) ) ) ),
inference(definition_unfolding,[],[f1335,f1388]) ).
thf(f1930,definition,
( sF126
= ( product_Pair_a_a @ z @ y ) ),
introduced(definition,[new_symbols(definition,[sF126])],[function_definition]) ).
thf(f1931,plain,
( ( product_Pair_a_a @ z @ y )
= sF126 ),
inference(reorient_equations,[],[f1930]) ).
thf(f1932,definition,
( sF127
= ( member449909584od_a_a @ sF126 @ pr ) ),
introduced(definition,[new_symbols(definition,[sF127])],[function_definition]) ).
thf(f1933,plain,
( ( member449909584od_a_a @ sF126 @ pr )
= sF127 ),
inference(reorient_equations,[],[f1932]) ).
thf(f1934,plain,
$true != sF127,
inference(definition_folding,[],[f1765,f1933,f1931]) ).
thf(f3075,plain,
! [X2: set_a,X3: set_Product_prod_a_a,X0: a,X1: a] :
( ( $true
!= ( member_a @ X0
@ ( collect_a
@ ^ [Y0: a] :
( ( member_a @ Y0 @ X2 )
& ( member449909584od_a_a @ ( product_Pair_a_a @ Y0 @ X1 ) @ X3 ) ) ) ) )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ X0 @ X1 ) @ X3 )
= $true ) ),
inference(beta-eta_normalization,[],[f1771]) ).
thf(f3078,plain,
( $true
= ( member_a @ z
@ ( collect_a
@ ^ [Y0: a] :
( ( member_a @ Y0 @ b )
& ( member449909584od_a_a @ ( product_Pair_a_a @ Y0 @ y ) @ pr ) ) ) ) ),
inference(beta-eta_normalization,[],[f1768]) ).
thf(f3080,plain,
( ( $false
= ( member449909584od_a_a @ sF126 @ pr ) )
| ( $true = sF127 ) ),
inference(iff_proxy_clausification,[],[f1933]) ).
thf(f3083,plain,
( $false
= ( member449909584od_a_a @ sF126 @ pr ) ),
inference(forward_subsumption_resolution,[],[f3080,f1934]) ).
thf(f15548,plain,
! [X0: set_Product_prod_a_a] :
( ( $true != $true )
| ( $true
= ( member449909584od_a_a @ ( product_Pair_a_a @ z @ y ) @ X0 ) )
| ( ( ^ [Y0: a] : pr )
!= ( ^ [Y0: a] : X0 ) ) ),
inference(constrained_superposition,[],[f3075,f3078]) ).
thf(f15549,plain,
! [X0: set_Product_prod_a_a] :
( ( $true
= ( member449909584od_a_a @ ( product_Pair_a_a @ z @ y ) @ X0 ) )
| ( ( ^ [Y0: a] : pr )
!= ( ^ [Y0: a] : X0 ) ) ),
inference(trivial_inequality_removal,[],[f15548]) ).
thf(f15562,plain,
! [X0: set_Product_prod_a_a] :
( ( ( ^ [Y0: a] : pr )
!= ( ^ [Y0: a] : X0 ) )
| ( $true
= ( member449909584od_a_a @ sF126 @ X0 ) ) ),
inference(forward_demodulation,[],[f15549,f1931]) ).
thf(f15617,plain,
( $true
= ( member449909584od_a_a @ sF126 @ pr ) ),
inference(equality_resolution,[],[f15562]) ).
thf(f15619,plain,
$true = $false,
inference(forward_demodulation,[],[f15617,f3083]) ).
thf(f15620,plain,
$false,
inference(trivial_inequality_removal,[],[f15619]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP157^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n004.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 20:03:47 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.54/1.04 % (1774285)Will run a generic schedule for satisfiability detection.
% 5.54/1.04 % (1774295)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1849965052:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 5.54/1.04 % (1774291)% WARNING: option uhcvi not known.
% 5.54/1.04 % (1774290)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=945860580_2999 on theBenchmark for (2999ds/0Mi)
% 5.54/1.04 % (1774292)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=986043823:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 5.54/1.04 % (1774291)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2751627314:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 5.54/1.04 % (1774293)dis+10_1_sil=32000:sp=arity:random_seed=294821781:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 5.54/1.04 % (1774296)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1150543885:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 5.54/1.04 % (1774294)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3327127897:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 5.54/1.04 % (1774291)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.54/1.04 % (1774294)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.54/1.04 % (1774295)Instruction limit reached!
% 5.54/1.04 % (1774295)------------------------------
% 5.54/1.04 % (1774295)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.54/1.04 % (1774295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/1.04 % (1774295)CaDiCaL version: 2.1.3
% 5.54/1.04 % (1774295)Termination reason: Instruction limit
% 5.54/1.04 % (1774295)Termination phase: Saturation
% 5.54/1.04 % (1774295)Time elapsed: 0.030 s
% 5.54/1.04 % (1774295)Peak memory usage: 13 MB
% 5.54/1.04 % (1774295)Instructions burned: 134 (million)
% 5.54/1.04 % (1774304)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3788768013:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 5.54/1.04 % (1774293)Instruction limit reached!
% 5.54/1.04 % (1774293)------------------------------
% 5.54/1.04 % (1774293)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.54/1.04 % (1774293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/1.04 % (1774293)CaDiCaL version: 2.1.3
% 5.54/1.04 % (1774293)Termination reason: Instruction limit
% 5.54/1.04 % (1774293)Termination phase: Property scanning
% 5.54/1.04 % (1774293)Time elapsed: 0.044 s
% 5.54/1.04 % (1774293)Peak memory usage: 11 MB
% 5.54/1.04 % (1774293)Instructions burned: 109 (million)
% 5.54/1.04 % Exception at run slice level
% 5.54/1.04 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.54/1.04 % (1774291)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 5.54/1.04 % (1774294)Instruction limit reached!
% 5.54/1.04 % (1774294)------------------------------
% 5.54/1.04 % (1774294)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.54/1.04 % (1774294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/1.04 % (1774294)CaDiCaL version: 2.1.3
% 5.54/1.04 % (1774294)Termination reason: Instruction limit
% 5.54/1.04 % (1774294)Termination phase: Saturation
% 5.54/1.04 % (1774294)Time elapsed: 0.048 s
% 5.54/1.04 % (1774294)Peak memory usage: 12 MB
% 5.54/1.04 % (1774294)Instructions burned: 118 (million)
% 5.54/1.04 % Exception at run slice level
% 5.54/1.04 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.54/1.04 % (1774306)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4091684544:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 5.54/1.04 % (1774307)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=514358051:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 5.54/1.04 % (1774296)Instruction limit reached!
% 5.54/1.04 % (1774296)------------------------------
% 5.54/1.04 % (1774296)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.54/1.04 % (1774296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/1.04 % (1774296)CaDiCaL version: 2.1.3
% 5.54/1.04 % (1774296)Termination reason: Instruction limit
% 7.03/1.40 % (1774296)Termination phase: Saturation
% 7.03/1.40 % (1774296)Time elapsed: 0.066 s
% 7.03/1.40 % (1774296)Peak memory usage: 13 MB
% 7.03/1.40 % (1774296)Instructions burned: 159 (million)
% 7.03/1.40 % (1774309)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1931080934:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 7.03/1.40 % (1774308)ott-21_1_sil=16000:fs=off:random_seed=2274722682:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.03/1.40 % (1774307)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 7.03/1.40 % (1774314)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2360521618:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 7.03/1.40 % (1774307)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 7.03/1.40 % (1774306)Instruction limit reached!
% 7.03/1.40 % (1774306)------------------------------
% 7.03/1.40 % (1774306)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.03/1.40 % (1774306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.03/1.40 % (1774306)CaDiCaL version: 2.1.3
% 7.03/1.40 % (1774306)Termination reason: Instruction limit
% 7.03/1.40 % (1774306)Termination phase: Saturation
% 7.03/1.40 % (1774306)Time elapsed: 0.054 s
% 7.03/1.40 % (1774306)Peak memory usage: 13 MB
% 7.03/1.40 % (1774306)Instructions burned: 131 (million)
% 7.03/1.40 % Exception at run slice level
% 7.03/1.40 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.03/1.40 % (1774316)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3723529516:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 7.03/1.40 % (1774308)Instruction limit reached!
% 7.03/1.40 % (1774308)------------------------------
% 7.03/1.40 % (1774308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.03/1.40 % (1774308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.03/1.40 % (1774308)CaDiCaL version: 2.1.3
% 7.03/1.40 % (1774308)Termination reason: Instruction limit
% 7.03/1.40 % (1774308)Termination phase: Saturation
% 7.03/1.40 % (1774308)Time elapsed: 0.077 s
% 7.03/1.40 % (1774308)Peak memory usage: 14 MB
% 7.03/1.40 % (1774308)Instructions burned: 182 (million)
% 7.03/1.40 % (1774317)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1825951954:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 7.03/1.40 % (1774319)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2015799015:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 7.03/1.40 % (1774309)Instruction limit reached!
% 7.03/1.40 % (1774309)------------------------------
% 7.03/1.40 % (1774309)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.03/1.40 % (1774309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.03/1.40 % (1774309)CaDiCaL version: 2.1.3
% 7.03/1.40 % (1774309)Termination reason: Instruction limit
% 7.03/1.40 % (1774309)Termination phase: Saturation
% 7.03/1.40 % (1774309)Time elapsed: 0.117 s
% 7.03/1.40 % (1774309)Peak memory usage: 15 MB
% 7.03/1.40 % (1774309)Instructions burned: 481 (million)
% 7.03/1.40 % (1774319)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 7.03/1.40 % (1774322)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3328126661:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 7.03/1.40 % Exception at run slice level
% 7.03/1.40 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.03/1.40 % (1774322)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 7.03/1.40 % (1774324)fmb+10_1_sil=64000:random_seed=3763337676:i=22061:nm=2:gsp=on_2997 on theBenchmark for (2997ds/22061Mi)
% 7.03/1.40 % (1774324)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 7.03/1.40 % Exception at run slice level
% 7.03/1.40 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.03/1.40 % (1774326)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2469398299:i=9515:nm=5_2996 on theBenchmark for (2996ds/9515Mi)
% 7.03/1.40 % Exception at run slice level
% 7.03/1.40 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.03/1.40 % (1774328)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2982322796:fmbsr=1.7:i=920_2996 on theBenchmark for (2996ds/920Mi)
% 7.03/1.40 % (1774307)Instruction limit reached!
% 7.03/1.40 % (1774307)------------------------------
% 7.03/1.40 % (1774307)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.03/1.40 % (1774307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.03/1.40 % (1774307)CaDiCaL version: 2.1.3
% 7.03/1.40 % (1774307)Termination reason: Instruction limit
% 7.03/1.40 % (1774307)Termination phase: Saturation
% 7.03/1.40 % (1774307)Time elapsed: 0.311 s
% 7.03/1.40 % (1774307)Peak memory usage: 16 MB
% 7.03/1.40 % (1774307)Instructions burned: 685 (million)
% 7.03/1.40 % (1774330)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=672790563:i=5131_2995 on theBenchmark for (2995ds/5131Mi)
% 7.03/1.40 % Exception at run slice level
% 7.03/1.40 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.03/1.40 % (1774330)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 7.03/1.40 % (1774332)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=567090820:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 7.03/1.40 % (1774322)Instruction limit reached!
% 7.03/1.40 % (1774322)------------------------------
% 7.03/1.40 % (1774322)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.03/1.40 % (1774322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.03/1.40 % (1774322)CaDiCaL version: 2.1.3
% 7.03/1.40 % (1774322)Termination reason: Instruction limit
% 7.03/1.40 % (1774322)Termination phase: Saturation
% 7.03/1.40 % (1774322)Time elapsed: 0.229 s
% 7.03/1.40 % (1774322)Peak memory usage: 20 MB
% 7.03/1.40 % (1774322)Instructions burned: 879 (million)
% 7.03/1.40 % (1774334)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2234106628:i=6324_2995 on theBenchmark for (2995ds/6324Mi)
% 7.03/1.40 % (1774332)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 7.03/1.40 % Exception at run slice level
% 7.03/1.40 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.03/1.40 % (1774332)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 7.03/1.40 % (1774336)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1007032042:fmbsr=2.30978:i=2174_2994 on theBenchmark for (2994ds/2174Mi)
% 7.03/1.40 % (1774319)Instruction limit reached!
% 7.03/1.40 % (1774319)------------------------------
% 7.03/1.40 % (1774319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.03/1.40 % (1774319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.03/1.40 % (1774319)CaDiCaL version: 2.1.3
% 7.03/1.40 % (1774319)Termination reason: Instruction limit
% 7.03/1.40 % (1774319)Termination phase: Saturation
% 7.03/1.40 % (1774319)Time elapsed: 0.312 s
% 7.03/1.40 % (1774319)Peak memory usage: 18 MB
% 7.03/1.40 % (1774319)Instructions burned: 693 (million)
% 7.03/1.40 % (1774338)ott-2_1_sil=16000:newcnf=on:random_seed=4078751326:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2994 on theBenchmark for (2994ds/869Mi)
% 7.03/1.40 % Exception at run slice level
% 7.03/1.40 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.03/1.40 % (1774340)ott+10_1_sil=32000:tgt=ground:random_seed=1888583831:i=5114:av=off_2994 on theBenchmark for (2994ds/5114Mi)
% 7.03/1.40 % (1774338)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 7.03/1.40 % (1774316)Instruction limit reached!
% 7.03/1.40 % (1774316)------------------------------
% 7.03/1.40 % (1774316)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.03/1.40 % (1774316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.03/1.40 % (1774316)CaDiCaL version: 2.1.3
% 7.03/1.40 % (1774316)Termination reason: Instruction limit
% 7.03/1.40 % (1774316)Termination phase: Saturation
% 7.03/1.40 % (1774316)Time elapsed: 0.547 s
% 7.03/1.40 % (1774316)Peak memory usage: 21 MB
% 7.03/1.40 % (1774316)Instructions burned: 1179 (million)
% 7.03/1.40 % (1774342)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3479505336:i=54282_2992 on theBenchmark for (2992ds/54282Mi)
% 7.03/1.40 % Exception at run slice level
% 7.03/1.40 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.03/1.40 % (1774344)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3617870754:i=3512:aac=none_2991 on theBenchmark for (2991ds/3512Mi)
% 7.03/1.40 % (1774344)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 7.03/1.40 % (1774338)Instruction limit reached!
% 7.03/1.40 % (1774338)------------------------------
% 7.03/1.40 % (1774338)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.03/1.40 % (1774338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.03/1.40 % (1774338)CaDiCaL version: 2.1.3
% 7.03/1.40 % (1774338)Termination reason: Instruction limit
% 7.03/1.40 % (1774338)Termination phase: Saturation
% 7.03/1.40 % (1774338)Time elapsed: 0.413 s
% 7.03/1.40 % (1774338)Peak memory usage: 17 MB
% 7.03/1.40 % (1774338)Instructions burned: 869 (million)
% 7.03/1.40 % (1774346)dis+21_1_sil=32000:sas=cadical:random_seed=82005968:i=3773:amm=off_2990 on theBenchmark for (2990ds/3773Mi)
% 7.03/1.40 % (1774332)Instruction limit reached!
% 7.03/1.40 % (1774332)------------------------------
% 7.03/1.40 % (1774332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.03/1.40 % (1774332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.03/1.40 % (1774332)CaDiCaL version: 2.1.3
% 7.03/1.40 % (1774332)Termination reason: Instruction limit
% 7.03/1.40 % (1774332)Termination phase: Saturation
% 7.03/1.40 % (1774332)Time elapsed: 0.649 s
% 7.03/1.40 % (1774332)Peak memory usage: 18 MB
% 7.03/1.40 % (1774332)Instructions burned: 1473 (million)
% 7.03/1.40 % (1774348)ott+11_1_sil=16000:gs=on:random_seed=4256145904:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2988 on theBenchmark for (2988ds/2251Mi)
% 7.03/1.40 % (1774340) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1774285-1774340"...
% 7.03/1.40 % (1774340)...printing done.
% 7.03/1.40 % (1774340)Refutation found. Thanks to Tanya!
% 7.03/1.40 % SZS status Theorem for theBenchmark
% 7.03/1.40 % SZS output start Proof for theBenchmark
% See solution above
% 7.03/1.40 % (1774340)------------------------------
% 7.03/1.40 % (1774340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.03/1.40 % (1774340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.03/1.40 % (1774340)CaDiCaL version: 2.1.3
% 7.03/1.40 % (1774340)Termination reason: Refutation
% 7.03/1.40 % (1774340)Time elapsed: 0.595 s
% 7.03/1.40 % (1774340)Peak memory usage: 30 MB
% 7.03/1.40 % (1774340)Instructions burned: 2380 (million)
% 7.03/1.40 % (1774285)Success in time 1.168 s
% 7.03/1.40 % Vampire exiting
%------------------------------------------------------------------------------