TSTP Solution File: ITP157^1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ITP157^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 06:50:04 EDT 2024

% Result   : Theorem 0.13s 0.51s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :  230
% Syntax   : Number of formulae    :  256 (  30 unt; 226 typ;   0 def)
%            Number of atoms       :  103 (  34 equ;   0 cnn)
%            Maximal formula atoms :    1 (   3 avg)
%            Number of connectives :  173 (   4   ~;   0   |;   9   &; 154   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Number of types       :   31 (  30 usr)
%            Number of type conns  :  363 ( 363   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  170 ( 166 usr;  19 con; 0-3 aty)
%                                         (   6  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   41 (  30   ^  10   !;   0   ?;  41   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    set_Product_prod_a_a: $tType ).

thf(type_def_6,type,
    product_prod_a_a: $tType ).

thf(type_def_8,type,
    set_Pr1948701895od_a_a: $tType ).

thf(type_def_9,type,
    set_a: $tType ).

thf(type_def_10,type,
    a: $tType ).

thf(type_def_11,type,
    produc1572603623od_a_a: $tType ).

thf(type_def_12,type,
    set_Pr1295299783od_a_a: $tType ).

thf(type_def_13,type,
    produc2010915495od_a_a: $tType ).

thf(type_def_14,type,
    set_Pr231806599od_a_a: $tType ).

thf(type_def_15,type,
    set_Pr532616391od_a_a: $tType ).

thf(type_def_16,type,
    produc772425383od_a_a: $tType ).

thf(type_def_17,type,
    set_Pr1194146439od_a_a: $tType ).

thf(type_def_18,type,
    set_Pr2081559751od_a_a: $tType ).

thf(type_def_19,type,
    produc1016684094_a_a_a: $tType ).

thf(type_def_20,type,
    set_Pr1689873822_a_a_a: $tType ).

thf(type_def_21,type,
    set_Pr729215751_a_a_a: $tType ).

thf(type_def_22,type,
    produc1555800720od_a_a: $tType ).

thf(type_def_23,type,
    set_Pr195866352od_a_a: $tType ).

thf(type_def_24,type,
    set_Pr660101255od_a_a: $tType ).

thf(type_def_25,type,
    produc1921647824od_a_a: $tType ).

thf(type_def_26,type,
    set_Pr681306928od_a_a: $tType ).

thf(type_def_27,type,
    produc1056976615od_a_a: $tType ).

thf(type_def_28,type,
    produc1423126247od_a_a: $tType ).

thf(type_def_29,type,
    produc1990712039od_a_a: $tType ).

thf(type_def_30,type,
    produc47586087od_a_a: $tType ).

thf(type_def_31,type,
    produc1683075710_a_a_a: $tType ).

thf(type_def_32,type,
    produc1120419623_a_a_a: $tType ).

thf(type_def_33,type,
    produc1546279079od_a_a: $tType ).

thf(type_def_34,type,
    set_Pr173461255od_a_a: $tType ).

thf(type_def_35,type,
    set_Pr6137822_a_a_a: $tType ).

thf(func_def_0,type,
    set_Pr2081559751od_a_a: $tType ).

thf(func_def_1,type,
    set_Pr532616391od_a_a: $tType ).

thf(func_def_2,type,
    produc1423126247od_a_a: $tType ).

thf(func_def_3,type,
    produc1056976615od_a_a: $tType ).

thf(func_def_4,type,
    set_Pr660101255od_a_a: $tType ).

thf(func_def_5,type,
    produc1546279079od_a_a: $tType ).

thf(func_def_6,type,
    set_Pr1295299783od_a_a: $tType ).

thf(func_def_7,type,
    produc1990712039od_a_a: $tType ).

thf(func_def_8,type,
    set_Pr1194146439od_a_a: $tType ).

thf(func_def_9,type,
    set_Pr231806599od_a_a: $tType ).

thf(func_def_10,type,
    set_Pr729215751_a_a_a: $tType ).

thf(func_def_11,type,
    set_Pr173461255od_a_a: $tType ).

thf(func_def_12,type,
    produc772425383od_a_a: $tType ).

thf(func_def_13,type,
    produc2010915495od_a_a: $tType ).

thf(func_def_14,type,
    produc1120419623_a_a_a: $tType ).

thf(func_def_15,type,
    produc47586087od_a_a: $tType ).

thf(func_def_16,type,
    set_Pr195866352od_a_a: $tType ).

thf(func_def_17,type,
    set_Pr6137822_a_a_a: $tType ).

thf(func_def_18,type,
    produc1555800720od_a_a: $tType ).

thf(func_def_19,type,
    produc1683075710_a_a_a: $tType ).

thf(func_def_20,type,
    set_Pr1948701895od_a_a: $tType ).

thf(func_def_21,type,
    produc1572603623od_a_a: $tType ).

thf(func_def_22,type,
    set_Pr681306928od_a_a: $tType ).

thf(func_def_23,type,
    set_Pr1689873822_a_a_a: $tType ).

thf(func_def_24,type,
    produc1921647824od_a_a: $tType ).

thf(func_def_25,type,
    produc1016684094_a_a_a: $tType ).

thf(func_def_26,type,
    set_Product_prod_a_a: $tType ).

thf(func_def_27,type,
    product_prod_a_a: $tType ).

thf(func_def_28,type,
    set_a: $tType ).

thf(func_def_29,type,
    a: $tType ).

thf(func_def_30,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_31,type,
    bNF_Gr_a_a: set_a > ( a > a ) > set_Product_prod_a_a ).

thf(func_def_32,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_33,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_34,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_35,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_36,type,
    bNF_Gr1715025636od_a_a: set_a > ( a > product_prod_a_a ) > ( a > product_prod_a_a ) > set_Pr1948701895od_a_a ).

thf(func_def_37,type,
    bNF_Gr423046308_a_a_a: set_a > ( a > a ) > ( a > a ) > set_Product_prod_a_a ).

thf(func_def_38,type,
    minus_107310383_a_a_o: ( produc1572603623od_a_a > $o ) > ( produc1572603623od_a_a > $o ) > produc1572603623od_a_a > $o ).

thf(func_def_39,type,
    minus_1797478127_a_a_o: ( product_prod_a_a > $o ) > ( product_prod_a_a > $o ) > product_prod_a_a > $o ).

thf(func_def_40,type,
    minus_minus_a_o: ( a > $o ) > ( a > $o ) > a > $o ).

thf(func_def_41,type,
    minus_1034916142od_a_a: set_Pr1948701895od_a_a > set_Pr1948701895od_a_a > set_Pr1948701895od_a_a ).

thf(func_def_42,type,
    minus_1507102574od_a_a: set_Product_prod_a_a > set_Product_prod_a_a > set_Product_prod_a_a ).

thf(func_def_43,type,
    minus_minus_set_a: set_a > set_a > set_a ).

thf(func_def_44,type,
    order_491428350od_a_a: set_Pr1948701895od_a_a > set_Pr1295299783od_a_a > $o ).

thf(func_def_45,type,
    order_359341630od_a_a: set_Product_prod_a_a > set_Pr1948701895od_a_a > $o ).

thf(func_def_46,type,
    order_preorder_on_a: set_a > set_Product_prod_a_a > $o ).

thf(func_def_47,type,
    bot_bo1116205875od_a_a: set_Pr1948701895od_a_a ).

thf(func_def_48,type,
    bot_bo2131659635od_a_a: set_Product_prod_a_a ).

thf(func_def_49,type,
    bot_bot_set_a: set_a ).

thf(func_def_50,type,
    ord_le1525442358_a_a_o: ( produc1572603623od_a_a > $o ) > ( produc1572603623od_a_a > $o ) > $o ).

thf(func_def_51,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_52,type,
    ord_le1347718902_a_a_o: ( product_prod_a_a > $o ) > ( product_prod_a_a > $o ) > $o ).

thf(func_def_53,type,
    ord_less_eq_a_a_o: ( a > a > $o ) > ( a > a > $o ) > $o ).

thf(func_def_54,type,
    ord_less_eq_a_o: ( a > $o ) > ( a > $o ) > $o ).

thf(func_def_55,type,
    ord_le456379495od_a_a: set_Pr1948701895od_a_a > set_Pr1948701895od_a_a > $o ).

thf(func_def_56,type,
    ord_le1824328871od_a_a: set_Product_prod_a_a > set_Product_prod_a_a > $o ).

thf(func_def_57,type,
    ord_less_eq_set_a: set_a > set_a > $o ).

thf(func_def_58,type,
    top_to2011536774_a_a_o: produc1572603623od_a_a > $o ).

thf(func_def_59,type,
    top_to993969022_a_a_o: product_prod_a_a > product_prod_a_a > $o ).

thf(func_def_60,type,
    top_to1483957574_a_a_o: product_prod_a_a > $o ).

thf(func_def_61,type,
    top_top_a_a_o: a > a > $o ).

thf(func_def_62,type,
    top_top_a_o: a > $o ).

thf(func_def_63,type,
    top_to52711959od_a_a: set_Pr1948701895od_a_a ).

thf(func_def_64,type,
    top_to398455383od_a_a: set_Product_prod_a_a ).

thf(func_def_65,type,
    top_top_set_a: set_a ).

thf(func_def_66,type,
    prefer1867335523od_a_a: produc1572603623od_a_a > set_Pr1948701895od_a_a > set_Pr1295299783od_a_a > set_Pr1948701895od_a_a ).

thf(func_def_67,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_68,type,
    prefer436369274d_as_a: a > set_a > set_Product_prod_a_a > set_a ).

thf(func_def_69,type,
    prefer468349667od_a_a: produc2010915495od_a_a > set_Pr231806599od_a_a > set_Pr532616391od_a_a > set_Pr231806599od_a_a ).

thf(func_def_70,type,
    prefer1377343203od_a_a: produc772425383od_a_a > set_Pr1194146439od_a_a > set_Pr2081559751od_a_a > set_Pr1194146439od_a_a ).

thf(func_def_71,type,
    prefer55414563od_a_a: produc1572603623od_a_a > set_Pr1948701895od_a_a > set_Pr1295299783od_a_a > set_Pr1948701895od_a_a ).

thf(func_def_72,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_73,type,
    prefer445484748od_a_a: produc1555800720od_a_a > set_Pr195866352od_a_a > set_Pr660101255od_a_a > set_Pr195866352od_a_a ).

thf(func_def_74,type,
    prefer701966604od_a_a: produc1921647824od_a_a > set_Pr681306928od_a_a > set_Pr231806599od_a_a > set_Pr681306928od_a_a ).

thf(func_def_75,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_76,type,
    prefer161218362good_a: a > set_a > set_Product_prod_a_a > set_a ).

thf(func_def_77,type,
    prefer926864306od_a_a: produc1572603623od_a_a > set_Pr1948701895od_a_a > set_Pr1295299783od_a_a > set_Pr1948701895od_a_a ).

thf(func_def_78,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_79,type,
    prefer1676310729than_a: a > set_a > set_Product_prod_a_a > set_a ).

thf(func_def_80,type,
    prefer1409946857od_a_a: set_Pr1948701895od_a_a > set_Pr1295299783od_a_a > $o ).

thf(func_def_81,type,
    prefer1338892073od_a_a: set_Product_prod_a_a > set_Pr1948701895od_a_a > $o ).

thf(func_def_82,type,
    prefer1292084992ence_a: set_a > set_Product_prod_a_a > $o ).

thf(func_def_83,type,
    produc539587415od_a_a: produc2010915495od_a_a > produc2010915495od_a_a > produc1056976615od_a_a ).

thf(func_def_84,type,
    produc852390743od_a_a: produc772425383od_a_a > produc772425383od_a_a > produc1423126247od_a_a ).

thf(func_def_85,type,
    produc1935643479od_a_a: produc1572603623od_a_a > produc1572603623od_a_a > produc1990712039od_a_a ).

thf(func_def_86,type,
    produc524982679od_a_a: produc1572603623od_a_a > product_prod_a_a > produc47586087od_a_a ).

thf(func_def_87,type,
    produc436797294_a_a_a: produc1572603623od_a_a > a > produc1683075710_a_a_a ).

thf(func_def_88,type,
    produc2054708503_a_a_a: produc1016684094_a_a_a > produc1016684094_a_a_a > produc1120419623_a_a_a ).

thf(func_def_89,type,
    produc1573596055od_a_a: produc1555800720od_a_a > produc1555800720od_a_a > produc1546279079od_a_a ).

thf(func_def_90,type,
    produc563767703od_a_a: produc1921647824od_a_a > produc1921647824od_a_a > produc2010915495od_a_a ).

thf(func_def_91,type,
    produc1555606807od_a_a: product_prod_a_a > produc1572603623od_a_a > produc772425383od_a_a ).

thf(func_def_92,type,
    produc1474507607od_a_a: product_prod_a_a > product_prod_a_a > produc1572603623od_a_a ).

thf(func_def_93,type,
    produc2061588782_a_a_a: product_prod_a_a > a > produc1016684094_a_a_a ).

thf(func_def_94,type,
    produc1095491584od_a_a: a > produc1572603623od_a_a > produc1555800720od_a_a ).

thf(func_def_95,type,
    produc1299253312od_a_a: a > product_prod_a_a > produc1921647824od_a_a ).

thf(func_def_96,type,
    product_Pair_a_a: a > a > product_prod_a_a ).

thf(func_def_97,type,
    produc1460477704od_a_a: set_Pr1948701895od_a_a > ( produc1572603623od_a_a > set_Pr1948701895od_a_a ) > set_Pr1295299783od_a_a ).

thf(func_def_98,type,
    produc197318472od_a_a: set_Pr1948701895od_a_a > ( produc1572603623od_a_a > set_Product_prod_a_a ) > set_Pr173461255od_a_a ).

thf(func_def_99,type,
    produc4724255_a_a_a: set_Pr1948701895od_a_a > ( produc1572603623od_a_a > set_a ) > set_Pr6137822_a_a_a ).

thf(func_def_100,type,
    produc1227942600od_a_a: set_Product_prod_a_a > ( product_prod_a_a > set_Pr1948701895od_a_a ) > set_Pr1194146439od_a_a ).

thf(func_def_101,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_102,type,
    produc1282482655_a_a_a: set_Product_prod_a_a > ( product_prod_a_a > set_a ) > set_Pr1689873822_a_a_a ).

thf(func_def_103,type,
    produc663418545od_a_a: set_a > ( a > set_Pr1948701895od_a_a ) > set_Pr195866352od_a_a ).

thf(func_def_104,type,
    produc520147185od_a_a: set_a > ( a > set_Product_prod_a_a ) > set_Pr681306928od_a_a ).

thf(func_def_105,type,
    product_Sigma_a_a: set_a > ( a > set_a ) > set_Product_prod_a_a ).

thf(func_def_106,type,
    produc94438221_a_a_o: ( produc1572603623od_a_a > $o ) > product_prod_a_a > product_prod_a_a > $o ).

thf(func_def_107,type,
    product_curry_a_a_o: ( product_prod_a_a > $o ) > a > a > $o ).

thf(func_def_108,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_109,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_110,type,
    produc2012818120od_a_a: ( a > product_prod_a_a ) > ( a > product_prod_a_a ) > product_prod_a_a > produc1572603623od_a_a ).

thf(func_def_111,type,
    produc700022774_a_a_a: ( a > a ) > ( a > a ) > product_prod_a_a > product_prod_a_a ).

thf(func_def_112,type,
    produc303632707od_a_a: produc1990712039od_a_a > produc1572603623od_a_a ).

thf(func_def_113,type,
    produc745123715od_a_a: produc47586087od_a_a > produc1572603623od_a_a ).

thf(func_def_114,type,
    produc2019352922_a_a_a: produc1683075710_a_a_a > produc1572603623od_a_a ).

thf(func_def_115,type,
    produc1775747843od_a_a: produc772425383od_a_a > product_prod_a_a ).

thf(func_def_116,type,
    produc2115494211od_a_a: produc1572603623od_a_a > product_prod_a_a ).

thf(func_def_117,type,
    produc1805832986_a_a_a: produc1016684094_a_a_a > product_prod_a_a ).

thf(func_def_118,type,
    produc530563564od_a_a: produc1555800720od_a_a > a ).

thf(func_def_119,type,
    produc1043497516od_a_a: produc1921647824od_a_a > a ).

thf(func_def_120,type,
    product_fst_a_a: product_prod_a_a > a ).

thf(func_def_121,type,
    produc1441227909od_a_a: produc1990712039od_a_a > produc1572603623od_a_a ).

thf(func_def_122,type,
    produc24848069od_a_a: produc47586087od_a_a > product_prod_a_a ).

thf(func_def_123,type,
    produc262335132_a_a_a: produc1683075710_a_a_a > a ).

thf(func_def_124,type,
    produc1055472197od_a_a: produc772425383od_a_a > produc1572603623od_a_a ).

thf(func_def_125,type,
    produc368344197od_a_a: produc1572603623od_a_a > product_prod_a_a ).

thf(func_def_126,type,
    produc1954021468_a_a_a: produc1016684094_a_a_a > a ).

thf(func_def_127,type,
    produc921029422od_a_a: produc1555800720od_a_a > produc1572603623od_a_a ).

thf(func_def_128,type,
    produc1191685998od_a_a: produc1921647824od_a_a > product_prod_a_a ).

thf(func_def_129,type,
    product_snd_a_a: product_prod_a_a > a ).

thf(func_def_130,type,
    produc1641853175od_a_a: produc1572603623od_a_a > produc1572603623od_a_a ).

thf(func_def_131,type,
    product_swap_a_a: product_prod_a_a > product_prod_a_a ).

thf(func_def_132,type,
    produc905674258od_a_a: set_Product_prod_a_a > set_Product_prod_a_a > set_Pr1948701895od_a_a ).

thf(func_def_133,type,
    product_product_a_a: set_a > set_a > set_Product_prod_a_a ).

thf(func_def_134,type,
    collec1635618130od_a_a: ( produc1572603623od_a_a > $o ) > set_Pr1948701895od_a_a ).

thf(func_def_135,type,
    collec645855634od_a_a: ( product_prod_a_a > $o ) > set_Product_prod_a_a ).

thf(func_def_136,type,
    collect_a: ( a > $o ) > set_a ).

thf(func_def_137,type,
    image_236793797od_a_a: ( produc1572603623od_a_a > produc1572603623od_a_a ) > set_Pr1948701895od_a_a > set_Pr1948701895od_a_a ).

thf(func_def_138,type,
    image_734753285od_a_a: ( produc1572603623od_a_a > product_prod_a_a ) > set_Pr1948701895od_a_a > set_Product_prod_a_a ).

thf(func_def_139,type,
    image_1105229276_a_a_a: ( produc1572603623od_a_a > a ) > set_Pr1948701895od_a_a > set_a ).

thf(func_def_140,type,
    image_1765377413od_a_a: ( product_prod_a_a > produc1572603623od_a_a ) > set_Product_prod_a_a > set_Pr1948701895od_a_a ).

thf(func_def_141,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_142,type,
    image_340790172_a_a_a: ( product_prod_a_a > a ) > set_Product_prod_a_a > set_a ).

thf(func_def_143,type,
    image_1763923566od_a_a: ( a > produc1572603623od_a_a ) > set_a > set_Pr1948701895od_a_a ).

thf(func_def_144,type,
    image_1725938350od_a_a: ( a > product_prod_a_a ) > set_a > set_Product_prod_a_a ).

thf(func_def_145,type,
    image_a_a: ( a > a ) > set_a > set_a ).

thf(func_def_146,type,
    lex_pr942790511od_a_a: set_Pr1948701895od_a_a > set_Pr1948701895od_a_a > set_Pr1295299783od_a_a ).

thf(func_def_147,type,
    lex_pr2084296006_a_a_a: set_Pr1948701895od_a_a > set_Product_prod_a_a > set_Pr729215751_a_a_a ).

thf(func_def_148,type,
    lex_pr1321960536od_a_a: set_Product_prod_a_a > set_Pr1948701895od_a_a > set_Pr231806599od_a_a ).

thf(func_def_149,type,
    lex_prod_a_a: set_Product_prod_a_a > set_Product_prod_a_a > set_Pr1948701895od_a_a ).

thf(func_def_150,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_151,type,
    same_fst_a_a: ( a > $o ) > ( a > set_Product_prod_a_a ) > set_Pr1948701895od_a_a ).

thf(func_def_152,type,
    member180906768od_a_a: produc1056976615od_a_a > set_Pr532616391od_a_a > $o ).

thf(func_def_153,type,
    member547056400od_a_a: produc1423126247od_a_a > set_Pr2081559751od_a_a > $o ).

thf(func_def_154,type,
    member1899387664od_a_a: produc1990712039od_a_a > set_Pr1295299783od_a_a > $o ).

thf(func_def_155,type,
    member1545452880od_a_a: produc47586087od_a_a > set_Pr173461255od_a_a > $o ).

thf(func_def_156,type,
    member575366567_a_a_a: produc1683075710_a_a_a > set_Pr6137822_a_a_a > $o ).

thf(func_def_157,type,
    member470802768_a_a_a: produc1120419623_a_a_a > set_Pr729215751_a_a_a > $o ).

thf(func_def_158,type,
    member1424209616od_a_a: produc1546279079od_a_a > set_Pr660101255od_a_a > $o ).

thf(func_def_159,type,
    member1361298640od_a_a: produc2010915495od_a_a > set_Pr231806599od_a_a > $o ).

thf(func_def_160,type,
    member122808528od_a_a: produc772425383od_a_a > set_Pr1194146439od_a_a > $o ).

thf(func_def_161,type,
    member2057358096od_a_a: produc1572603623od_a_a > set_Pr1948701895od_a_a > $o ).

thf(func_def_162,type,
    member1403138919_a_a_a: produc1016684094_a_a_a > set_Pr1689873822_a_a_a > $o ).

thf(func_def_163,type,
    member448091577od_a_a: produc1555800720od_a_a > set_Pr195866352od_a_a > $o ).

thf(func_def_164,type,
    member160619001od_a_a: produc1921647824od_a_a > set_Pr681306928od_a_a > $o ).

thf(func_def_165,type,
    member449909584od_a_a: product_prod_a_a > set_Product_prod_a_a > $o ).

thf(func_def_166,type,
    member_a: a > set_a > $o ).

thf(func_def_167,type,
    b: set_a ).

thf(func_def_168,type,
    pr: set_Product_prod_a_a ).

thf(func_def_169,type,
    y: a ).

thf(func_def_170,type,
    z: a ).

thf(func_def_191,type,
    ph1: 
      !>[X0: $tType] : X0 ).

thf(func_def_192,type,
    sK2: product_prod_a_a ).

thf(func_def_193,type,
    sK3: produc1572603623od_a_a ).

thf(func_def_194,type,
    sK4: a ).

thf(func_def_195,type,
    sK5: product_prod_a_a > a ).

thf(func_def_196,type,
    sK6: product_prod_a_a > a ).

thf(func_def_197,type,
    sK7: produc1555800720od_a_a > a ).

thf(func_def_198,type,
    sK8: produc1555800720od_a_a > produc1572603623od_a_a ).

thf(func_def_199,type,
    sK9: produc1016684094_a_a_a > product_prod_a_a ).

thf(func_def_200,type,
    sK10: produc1016684094_a_a_a > a ).

thf(func_def_201,type,
    sK11: produc772425383od_a_a > produc1572603623od_a_a ).

thf(func_def_202,type,
    sK12: produc772425383od_a_a > product_prod_a_a ).

thf(func_def_203,type,
    sK13: produc2010915495od_a_a > produc1921647824od_a_a ).

thf(func_def_204,type,
    sK14: produc2010915495od_a_a > produc1921647824od_a_a ).

thf(func_def_205,type,
    sK15: produc1572603623od_a_a > product_prod_a_a ).

thf(func_def_206,type,
    sK16: produc1572603623od_a_a > product_prod_a_a ).

thf(func_def_207,type,
    sK17: produc1921647824od_a_a > product_prod_a_a ).

thf(func_def_208,type,
    sK18: produc1921647824od_a_a > a ).

thf(func_def_209,type,
    sK19: product_prod_a_a ).

thf(func_def_210,type,
    sK20: produc1572603623od_a_a ).

thf(func_def_211,type,
    sK21: a ).

thf(func_def_212,type,
    sK22: produc1572603623od_a_a > product_prod_a_a ).

thf(func_def_213,type,
    sK23: produc1572603623od_a_a > product_prod_a_a ).

thf(func_def_214,type,
    sK24: product_prod_a_a > a ).

thf(func_def_215,type,
    sK25: product_prod_a_a > a ).

thf(f2143,plain,
    $false,
    inference(trivial_inequality_removal,[],[f2142]) ).

thf(f2142,plain,
    $true = $false,
    inference(equality_proxy_clausification,[],[f2139]) ).

thf(f2139,plain,
    ( $true
    = ( $true = $false ) ),
    inference(boolean_simplification,[],[f2138]) ).

thf(f2138,plain,
    ( $true
    = ( $true
      = ( ( member_a @ z @ b )
        & $false ) ) ),
    inference(forward_demodulation,[],[f2135,f1608]) ).

thf(f1608,plain,
    ( ( member449909584od_a_a @ ( product_Pair_a_a @ z @ y ) @ pr )
    = $false ),
    inference(not_proxy_clausification,[],[f1262]) ).

thf(f1262,plain,
    ( $true
    = ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ z @ y ) @ pr ) ) ),
    inference(cnf_transformation,[],[f899]) ).

thf(f899,plain,
    ( $true
    = ( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ z @ y ) @ pr ) ) ),
    inference(fool_elimination,[],[f898]) ).

thf(f898,plain,
    ~ ( member449909584od_a_a @ ( product_Pair_a_a @ z @ y ) @ pr ),
    inference(rectify,[],[f357]) ).

thf(f357,negated_conjecture,
    ~ ( member449909584od_a_a @ ( product_Pair_a_a @ z @ y ) @ pr ),
    inference(negated_conjecture,[],[f356]) ).

thf(f356,conjecture,
    member449909584od_a_a @ ( product_Pair_a_a @ z @ y ) @ pr,
    file('/export/starexec/sandbox2/tmp/tmp.oAXIlKQ3L2/Vampire---4.8_17736',conj_0) ).

thf(f2135,plain,
    ( $true
    = ( $true
      = ( ( member_a @ z @ b )
        & ( member449909584od_a_a @ ( product_Pair_a_a @ z @ y ) @ pr ) ) ) ),
    inference(beta_eta_normalization,[],[f2134]) ).

thf(f2134,plain,
    ( $true
    = ( $true
      = ( ^ [Y0: a] :
            ( ( member_a @ Y0 @ b )
            & ( member449909584od_a_a @ ( product_Pair_a_a @ Y0 @ y ) @ pr ) )
        @ z ) ) ),
    inference(superposition,[],[f2128,f1555]) ).

thf(f1555,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,[],[f1470]) ).

thf(f1470,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,[],[f1231,f1294]) ).

thf(f1294,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,[],[f949]) ).

thf(f949,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,[],[f948]) ).

thf(f948,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(f55,axiom,
    ( prefer161218362good_a
    = ( ^ [X20: a,X21: set_a,X22: set_Product_prod_a_a] :
          ( collect_a
          @ ^ [X23: a] :
              ( ( member449909584od_a_a @ ( product_Pair_a_a @ X23 @ X20 ) @ X22 )
              & ( member_a @ X23 @ X21 ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.oAXIlKQ3L2/Vampire---4.8_17736',fact_54_at__least__as__good__def) ).

thf(f1231,plain,
    ( ( member_a @ z @ ( prefer161218362good_a @ y @ b @ pr ) )
    = $true ),
    inference(cnf_transformation,[],[f522]) ).

thf(f522,plain,
    ( ( member_a @ z @ ( prefer161218362good_a @ y @ b @ pr ) )
    = $true ),
    inference(fool_elimination,[],[f521]) ).

thf(f521,plain,
    member_a @ z @ ( prefer161218362good_a @ y @ b @ pr ),
    inference(rectify,[],[f1]) ).

thf(f1,axiom,
    member_a @ z @ ( prefer161218362good_a @ y @ b @ pr ),
    file('/export/starexec/sandbox2/tmp/tmp.oAXIlKQ3L2/Vampire---4.8_17736',fact_0_assms) ).

thf(f2128,plain,
    ! [X2: a,X1: a > $o] :
      ( $true
      = ( ( member_a @ X2 @ ( collect_a @ X1 ) )
        = ( X1 @ X2 ) ) ),
    inference(beta_eta_normalization,[],[f2127]) ).

thf(f2127,plain,
    ! [X2: a,X1: a > $o] :
      ( ( ^ [Y0: a] :
            ( ( member_a @ Y0 @ ( collect_a @ X1 ) )
            = ( X1 @ Y0 ) )
        @ X2 )
      = $true ),
    inference(pi_clausification,[],[f2119]) ).

thf(f2119,plain,
    ! [X1: a > $o] :
      ( $true
      = ( !! @ a
        @ ^ [Y0: a] :
            ( ( member_a @ Y0 @ ( collect_a @ X1 ) )
            = ( X1 @ Y0 ) ) ) ),
    inference(beta_eta_normalization,[],[f2118]) ).

thf(f2118,plain,
    ! [X1: a > $o] :
      ( $true
      = ( ^ [Y0: a > $o] :
            ( !! @ a
            @ ^ [Y1: a] :
                ( ( member_a @ Y1 @ ( collect_a @ Y0 ) )
                = ( Y0 @ Y1 ) ) )
        @ X1 ) ),
    inference(pi_clausification,[],[f1343]) ).

thf(f1343,plain,
    ( ( !! @ ( a > $o )
      @ ^ [Y0: a > $o] :
          ( !! @ a
          @ ^ [Y1: a] :
              ( ( member_a @ Y1 @ ( collect_a @ Y0 ) )
              = ( Y0 @ Y1 ) ) ) )
    = $true ),
    inference(cnf_transformation,[],[f871]) ).

thf(f871,plain,
    ( ( !! @ ( a > $o )
      @ ^ [Y0: a > $o] :
          ( !! @ a
          @ ^ [Y1: a] :
              ( ( member_a @ Y1 @ ( collect_a @ Y0 ) )
              = ( Y0 @ Y1 ) ) ) )
    = $true ),
    inference(fool_elimination,[],[f870]) ).

thf(f870,plain,
    ! [X0: a,X1: a > $o] :
      ( ( member_a @ X0 @ ( collect_a @ X1 ) )
      = ( X1 @ X0 ) ),
    inference(rectify,[],[f92]) ).

thf(f92,axiom,
    ! [X8: a,X15: a > $o] :
      ( ( member_a @ X8 @ ( collect_a @ X15 ) )
      = ( X15 @ X8 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.oAXIlKQ3L2/Vampire---4.8_17736',fact_91_mem__Collect__eq) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12  % Problem    : ITP157^1 : TPTP v8.1.2. Released v7.5.0.
% 0.02/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.09/0.31  % Computer : n016.cluster.edu
% 0.09/0.31  % Model    : x86_64 x86_64
% 0.09/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31  % Memory   : 8042.1875MB
% 0.09/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31  % CPULimit   : 300
% 0.09/0.31  % WCLimit    : 300
% 0.09/0.31  % DateTime   : Fri May  3 18:56:08 EDT 2024
% 0.09/0.31  % CPUTime    : 
% 0.09/0.31  This is a TH0_THM_EQU_NAR problem
% 0.09/0.31  Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.oAXIlKQ3L2/Vampire---4.8_17736
% 0.13/0.35  % (18006)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.13/0.35  % (18007)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.13/0.35  % (18007)Instruction limit reached!
% 0.13/0.35  % (18007)------------------------------
% 0.13/0.35  % (18007)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.35  % (18007)Termination reason: Unknown
% 0.13/0.35  % (18007)Termination phase: shuffling
% 0.13/0.35  
% 0.13/0.35  % (18007)Memory used [KB]: 1535
% 0.13/0.35  % (18007)Time elapsed: 0.003 s
% 0.13/0.35  % (18007)Instructions burned: 4 (million)
% 0.13/0.35  % (18007)------------------------------
% 0.13/0.35  % (18007)------------------------------
% 0.13/0.35  % (17999)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (2999ds/183Mi)
% 0.13/0.35  % (18000)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on Vampire---4 for (2999ds/4Mi)
% 0.13/0.35  % (18006)Instruction limit reached!
% 0.13/0.35  % (18006)------------------------------
% 0.13/0.35  % (18006)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.35  % (18006)Termination reason: Unknown
% 0.13/0.35  % (18006)Termination phase: shuffling
% 0.13/0.35  
% 0.13/0.35  % (18006)Memory used [KB]: 1918
% 0.13/0.35  % (18006)Time elapsed: 0.008 s
% 0.13/0.35  % (18006)Instructions burned: 18 (million)
% 0.13/0.35  % (18006)------------------------------
% 0.13/0.35  % (18006)------------------------------
% 0.13/0.35  % (18003)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.13/0.35  % (18001)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on Vampire---4 for (2999ds/27Mi)
% 0.13/0.35  % (18005)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (2999ds/275Mi)
% 0.13/0.35  % (18004)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.13/0.35  % (18003)Instruction limit reached!
% 0.13/0.35  % (18003)------------------------------
% 0.13/0.35  % (18003)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.35  % (18003)Termination reason: Unknown
% 0.13/0.35  % (18004)Instruction limit reached!
% 0.13/0.35  % (18004)------------------------------
% 0.13/0.35  % (18004)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.35  % (18004)Termination reason: Unknown
% 0.13/0.35  % (18004)Termination phase: shuffling
% 0.13/0.35  
% 0.13/0.35  % (18004)Memory used [KB]: 1535
% 0.13/0.35  % (18004)Time elapsed: 0.004 s
% 0.13/0.35  % (18004)Instructions burned: 3 (million)
% 0.13/0.35  % (18004)------------------------------
% 0.13/0.35  % (18004)------------------------------
% 0.13/0.35  % (18003)Termination phase: shuffling
% 0.13/0.35  
% 0.13/0.35  % (18003)Memory used [KB]: 1535
% 0.13/0.35  % (18003)Time elapsed: 0.004 s
% 0.13/0.35  % (18003)Instructions burned: 3 (million)
% 0.13/0.35  % (18003)------------------------------
% 0.13/0.35  % (18003)------------------------------
% 0.13/0.36  % (18000)Instruction limit reached!
% 0.13/0.36  % (18000)------------------------------
% 0.13/0.36  % (18000)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.36  % (18000)Termination reason: Unknown
% 0.13/0.36  % (18000)Termination phase: shuffling
% 0.13/0.36  
% 0.13/0.36  % (18000)Memory used [KB]: 1663
% 0.13/0.36  % (18000)Time elapsed: 0.005 s
% 0.13/0.36  % (18000)Instructions burned: 5 (million)
% 0.13/0.36  % (18000)------------------------------
% 0.13/0.36  % (18000)------------------------------
% 0.13/0.36  % (18009)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on Vampire---4 for (2999ds/37Mi)
% 0.13/0.36  % (18010)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on Vampire---4 for (2999ds/15Mi)
% 0.13/0.37  % (18010)Instruction limit reached!
% 0.13/0.37  % (18010)------------------------------
% 0.13/0.37  % (18010)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (18010)Termination reason: Unknown
% 0.13/0.37  % (18010)Termination phase: shuffling
% 0.13/0.37  
% 0.13/0.37  % (18010)Memory used [KB]: 1791
% 0.13/0.37  % (18010)Time elapsed: 0.007 s
% 0.13/0.37  % (18010)Instructions burned: 17 (million)
% 0.13/0.37  % (18010)------------------------------
% 0.13/0.37  % (18010)------------------------------
% 0.13/0.37  % (18011)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.13/0.37  % (18012)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on Vampire---4 for (2999ds/1041Mi)
% 0.13/0.37  % (18001)Instruction limit reached!
% 0.13/0.37  % (18001)------------------------------
% 0.13/0.37  % (18001)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (18001)Termination reason: Unknown
% 0.13/0.37  % (18001)Termination phase: shuffling
% 0.13/0.37  
% 0.13/0.37  % (18001)Memory used [KB]: 2046
% 0.13/0.37  % (18001)Time elapsed: 0.018 s
% 0.13/0.37  % (18001)Instructions burned: 27 (million)
% 0.13/0.37  % (18001)------------------------------
% 0.13/0.37  % (18001)------------------------------
% 0.13/0.37  % (18013)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.13/0.37  % (18009)Instruction limit reached!
% 0.13/0.37  % (18009)------------------------------
% 0.13/0.37  % (18009)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (18009)Termination reason: Unknown
% 0.13/0.37  % (18009)Termination phase: shuffling
% 0.13/0.37  
% 0.13/0.37  % (18009)Memory used [KB]: 2302
% 0.13/0.37  % (18009)Time elapsed: 0.012 s
% 0.13/0.37  % (18009)Instructions burned: 39 (million)
% 0.13/0.37  % (18009)------------------------------
% 0.13/0.37  % (18009)------------------------------
% 0.13/0.37  % (18011)Instruction limit reached!
% 0.13/0.37  % (18011)------------------------------
% 0.13/0.37  % (18011)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (18011)Termination reason: Unknown
% 0.13/0.37  % (18011)Termination phase: shuffling
% 0.13/0.37  
% 0.13/0.37  % (18011)Memory used [KB]: 1535
% 0.13/0.37  % (18011)Time elapsed: 0.004 s
% 0.13/0.37  % (18011)Instructions burned: 3 (million)
% 0.13/0.37  % (18011)------------------------------
% 0.13/0.37  % (18011)------------------------------
% 0.13/0.37  % (18014)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on Vampire---4 for (2999ds/16Mi)
% 0.13/0.38  % (18013)Instruction limit reached!
% 0.13/0.38  % (18013)------------------------------
% 0.13/0.38  % (18013)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38  % (18013)Termination reason: Unknown
% 0.13/0.38  % (18013)Termination phase: shuffling
% 0.13/0.38  
% 0.13/0.38  % (18013)Memory used [KB]: 1663
% 0.13/0.38  % (18013)Time elapsed: 0.007 s
% 0.13/0.38  % (18013)Instructions burned: 8 (million)
% 0.13/0.38  % (18013)------------------------------
% 0.13/0.38  % (18013)------------------------------
% 0.13/0.38  % (18016)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.13/0.38  % (18014)Instruction limit reached!
% 0.13/0.38  % (18014)------------------------------
% 0.13/0.38  % (18014)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38  % (18014)Termination reason: Unknown
% 0.13/0.38  % (18014)Termination phase: shuffling
% 0.13/0.38  
% 0.13/0.38  % (18014)Memory used [KB]: 1918
% 0.13/0.38  % (18014)Time elapsed: 0.007 s
% 0.13/0.38  % (18014)Instructions burned: 18 (million)
% 0.13/0.38  % (18014)------------------------------
% 0.13/0.38  % (18014)------------------------------
% 0.13/0.38  % (18016)Instruction limit reached!
% 0.13/0.38  % (18016)------------------------------
% 0.13/0.38  % (18016)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38  % (18016)Termination reason: Unknown
% 0.13/0.38  % (18016)Termination phase: shuffling
% 0.13/0.38  
% 0.13/0.38  % (18016)Memory used [KB]: 1535
% 0.13/0.38  % (18016)Time elapsed: 0.003 s
% 0.13/0.38  % (18016)Instructions burned: 5 (million)
% 0.13/0.38  % (18016)------------------------------
% 0.13/0.38  % (18016)------------------------------
% 0.13/0.38  % (18015)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.13/0.38  % (18017)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.13/0.39  % (18005)Refutation not found, incomplete strategy
% 0.13/0.39  % (18005)------------------------------
% 0.13/0.39  % (18005)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39  % (18005)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.39  
% 0.13/0.39  
% 0.13/0.39  % (18005)Memory used [KB]: 6652
% 0.13/0.39  % (18005)Time elapsed: 0.034 s
% 0.13/0.39  % (18005)Instructions burned: 55 (million)
% 0.13/0.39  % (18005)------------------------------
% 0.13/0.39  % (18005)------------------------------
% 0.13/0.39  % (18015)Instruction limit reached!
% 0.13/0.39  % (18015)------------------------------
% 0.13/0.39  % (18015)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39  % (18015)Termination reason: Unknown
% 0.13/0.39  % (18015)Termination phase: shuffling
% 0.13/0.39  
% 0.13/0.39  % (18015)Memory used [KB]: 1535
% 0.13/0.39  % (18015)Time elapsed: 0.004 s
% 0.13/0.39  % (18015)Instructions burned: 4 (million)
% 0.13/0.39  % (18015)------------------------------
% 0.13/0.39  % (18015)------------------------------
% 0.13/0.39  % (18019)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (2999ds/4Mi)
% 0.13/0.39  % (18020)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.13/0.39  % (18017)Instruction limit reached!
% 0.13/0.39  % (18017)------------------------------
% 0.13/0.39  % (18017)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39  % (18017)Termination reason: Unknown
% 0.13/0.39  % (18017)Termination phase: shuffling
% 0.13/0.39  
% 0.13/0.39  % (18017)Memory used [KB]: 1663
% 0.13/0.39  % (18017)Time elapsed: 0.005 s
% 0.13/0.39  % (18017)Instructions burned: 9 (million)
% 0.13/0.39  % (18017)------------------------------
% 0.13/0.39  % (18017)------------------------------
% 0.13/0.39  % (18019)Instruction limit reached!
% 0.13/0.39  % (18019)------------------------------
% 0.13/0.39  % (18019)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39  % (18019)Termination reason: Unknown
% 0.13/0.39  % (18019)Termination phase: shuffling
% 0.13/0.39  
% 0.13/0.39  % (18019)Memory used [KB]: 1535
% 0.13/0.39  % (18019)Time elapsed: 0.003 s
% 0.13/0.39  % (18019)Instructions burned: 5 (million)
% 0.13/0.39  % (18019)------------------------------
% 0.13/0.39  % (18019)------------------------------
% 0.13/0.39  % (18018)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.13/0.39  % (18018)Instruction limit reached!
% 0.13/0.39  % (18018)------------------------------
% 0.13/0.39  % (18018)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39  % (18018)Termination reason: Unknown
% 0.13/0.39  % (18018)Termination phase: shuffling
% 0.13/0.39  
% 0.13/0.39  % (18018)Memory used [KB]: 1535
% 0.13/0.39  % (18018)Time elapsed: 0.003 s
% 0.13/0.39  % (18018)Instructions burned: 3 (million)
% 0.13/0.39  % (18018)------------------------------
% 0.13/0.39  % (18018)------------------------------
% 0.13/0.39  % (18020)Instruction limit reached!
% 0.13/0.39  % (18020)------------------------------
% 0.13/0.39  % (18020)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39  % (18020)Termination reason: Unknown
% 0.13/0.39  % (18024)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on Vampire---4 for (2999ds/710Mi)
% 0.13/0.39  % (18020)Termination phase: shuffling
% 0.13/0.39  
% 0.13/0.39  % (18020)Memory used [KB]: 1918
% 0.13/0.39  % (18020)Time elapsed: 0.008 s
% 0.13/0.39  % (18020)Instructions burned: 21 (million)
% 0.13/0.39  % (18020)------------------------------
% 0.13/0.39  % (18020)------------------------------
% 0.13/0.40  % (18027)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on Vampire---4 for (2999ds/902Mi)
% 0.13/0.40  % (18029)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on Vampire---4 for (2999ds/21Mi)
% 0.13/0.40  % (18025)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.13/0.40  % (18025)Instruction limit reached!
% 0.13/0.40  % (18025)------------------------------
% 0.13/0.40  % (18025)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40  % (18025)Termination reason: Unknown
% 0.13/0.40  % (18025)Termination phase: shuffling
% 0.13/0.40  
% 0.13/0.40  % (18025)Memory used [KB]: 1663
% 0.13/0.40  % (18025)Time elapsed: 0.004 s
% 0.13/0.40  % (18025)Instructions burned: 6 (million)
% 0.13/0.40  % (18025)------------------------------
% 0.13/0.40  % (18025)------------------------------
% 0.13/0.40  % (18031)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on Vampire---4 for (2999ds/5Mi)
% 0.13/0.40  % (18034)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.13/0.40  % (18031)Instruction limit reached!
% 0.13/0.40  % (18031)------------------------------
% 0.13/0.40  % (18031)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40  % (18031)Termination reason: Unknown
% 0.13/0.40  % (18031)Termination phase: shuffling
% 0.13/0.40  
% 0.13/0.40  % (18031)Memory used [KB]: 1663
% 0.13/0.40  % (18031)Time elapsed: 0.003 s
% 0.13/0.40  % (18031)Instructions burned: 5 (million)
% 0.13/0.40  % (18031)------------------------------
% 0.13/0.40  % (18031)------------------------------
% 0.13/0.41  % (18034)Instruction limit reached!
% 0.13/0.41  % (18034)------------------------------
% 0.13/0.41  % (18034)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.41  % (18034)Termination reason: Unknown
% 0.13/0.41  % (18034)Termination phase: shuffling
% 0.13/0.41  
% 0.13/0.41  % (18034)Memory used [KB]: 1663
% 0.13/0.41  % (18034)Time elapsed: 0.004 s
% 0.13/0.41  % (18034)Instructions burned: 9 (million)
% 0.13/0.41  % (18034)------------------------------
% 0.13/0.41  % (18034)------------------------------
% 0.13/0.41  % (18029)Instruction limit reached!
% 0.13/0.41  % (18029)------------------------------
% 0.13/0.41  % (18029)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.41  % (18029)Termination reason: Unknown
% 0.13/0.41  % (18029)Termination phase: shuffling
% 0.13/0.41  
% 0.13/0.41  % (18029)Memory used [KB]: 1918
% 0.13/0.41  % (18029)Time elapsed: 0.010 s
% 0.13/0.41  % (18029)Instructions burned: 23 (million)
% 0.13/0.41  % (18029)------------------------------
% 0.13/0.41  % (18029)------------------------------
% 0.13/0.41  % (18036)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on Vampire---4 for (2999ds/377Mi)
% 0.13/0.41  % (18037)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on Vampire---4 for (2999ds/779Mi)
% 0.13/0.41  % (18039)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on Vampire---4 for (2999ds/19Mi)
% 0.13/0.41  % (18040)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on Vampire---4 for (2999ds/879Mi)
% 0.13/0.42  % (18039)Instruction limit reached!
% 0.13/0.42  % (18039)------------------------------
% 0.13/0.42  % (18039)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.42  % (18039)Termination reason: Unknown
% 0.13/0.42  % (18039)Termination phase: shuffling
% 0.13/0.42  
% 0.13/0.42  % (18039)Memory used [KB]: 1918
% 0.13/0.42  % (18039)Time elapsed: 0.007 s
% 0.13/0.42  % (18039)Instructions burned: 20 (million)
% 0.13/0.42  % (18039)------------------------------
% 0.13/0.42  % (18039)------------------------------
% 0.13/0.42  % (17999)Instruction limit reached!
% 0.13/0.42  % (17999)------------------------------
% 0.13/0.42  % (17999)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.42  % (17999)Termination reason: Unknown
% 0.13/0.42  % (17999)Termination phase: Saturation
% 0.13/0.42  
% 0.13/0.42  % (17999)Memory used [KB]: 7547
% 0.13/0.42  % (17999)Time elapsed: 0.071 s
% 0.13/0.42  % (17999)Instructions burned: 183 (million)
% 0.13/0.42  % (17999)------------------------------
% 0.13/0.42  % (17999)------------------------------
% 0.13/0.43  % (18045)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (2998ds/17Mi)
% 0.13/0.43  % (18047)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2998ds/3Mi)
% 0.13/0.43  % (18047)Instruction limit reached!
% 0.13/0.43  % (18047)------------------------------
% 0.13/0.43  % (18047)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.43  % (18047)Termination reason: Unknown
% 0.13/0.43  % (18047)Termination phase: shuffling
% 0.13/0.43  
% 0.13/0.43  % (18047)Memory used [KB]: 1535
% 0.13/0.43  % (18047)Time elapsed: 0.002 s
% 0.13/0.43  % (18047)Instructions burned: 3 (million)
% 0.13/0.43  % (18047)------------------------------
% 0.13/0.43  % (18047)------------------------------
% 0.13/0.43  % (18045)Instruction limit reached!
% 0.13/0.43  % (18045)------------------------------
% 0.13/0.43  % (18045)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.43  % (18045)Termination reason: Unknown
% 0.13/0.43  % (18045)Termination phase: shuffling
% 0.13/0.43  
% 0.13/0.43  % (18045)Memory used [KB]: 1791
% 0.13/0.43  % (18045)Time elapsed: 0.007 s
% 0.13/0.43  % (18045)Instructions burned: 17 (million)
% 0.13/0.43  % (18045)------------------------------
% 0.13/0.43  % (18045)------------------------------
% 0.13/0.44  % (18051)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on Vampire---4 for (2998ds/30Mi)
% 0.13/0.44  % (18052)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on Vampire---4 for (2998ds/127Mi)
% 0.13/0.45  % (18051)Instruction limit reached!
% 0.13/0.45  % (18051)------------------------------
% 0.13/0.45  % (18051)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.45  % (18051)Termination reason: Unknown
% 0.13/0.45  % (18051)Termination phase: shuffling
% 0.13/0.45  
% 0.13/0.45  % (18051)Memory used [KB]: 2046
% 0.13/0.45  % (18051)Time elapsed: 0.011 s
% 0.13/0.45  % (18051)Instructions burned: 30 (million)
% 0.13/0.45  % (18051)------------------------------
% 0.13/0.45  % (18051)------------------------------
% 0.13/0.46  % (18056)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on Vampire---4 for (2998ds/100Mi)
% 0.13/0.48  % (18052)Instruction limit reached!
% 0.13/0.48  % (18052)------------------------------
% 0.13/0.48  % (18052)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.48  % (18052)Termination reason: Unknown
% 0.13/0.48  % (18052)Termination phase: Saturation
% 0.13/0.48  
% 0.13/0.48  % (18052)Memory used [KB]: 7164
% 0.13/0.48  % (18052)Time elapsed: 0.037 s
% 0.13/0.48  % (18052)Instructions burned: 130 (million)
% 0.13/0.48  % (18052)------------------------------
% 0.13/0.48  % (18052)------------------------------
% 0.13/0.48  % (18056)Instruction limit reached!
% 0.13/0.48  % (18056)------------------------------
% 0.13/0.48  % (18056)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.48  % (18056)Termination reason: Unknown
% 0.13/0.48  % (18056)Termination phase: Property scanning
% 0.13/0.48  
% 0.13/0.48  % (18056)Memory used [KB]: 2814
% 0.13/0.48  % (18056)Time elapsed: 0.028 s
% 0.13/0.48  % (18056)Instructions burned: 102 (million)
% 0.13/0.48  % (18056)------------------------------
% 0.13/0.48  % (18056)------------------------------
% 0.13/0.48  % (18069)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2998ds/3Mi)
% 0.13/0.48  % (18069)Instruction limit reached!
% 0.13/0.48  % (18069)------------------------------
% 0.13/0.48  % (18069)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.48  % (18069)Termination reason: Unknown
% 0.13/0.48  % (18069)Termination phase: shuffling
% 0.13/0.48  
% 0.13/0.48  % (18069)Memory used [KB]: 1663
% 0.13/0.48  % (18069)Time elapsed: 0.003 s
% 0.13/0.49  % (18069)Instructions burned: 5 (million)
% 0.13/0.49  % (18069)------------------------------
% 0.13/0.49  % (18069)------------------------------
% 0.13/0.49  % (18072)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on Vampire---4 for (2998ds/20Mi)
% 0.13/0.49  % (18073)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on Vampire---4 for (2998ds/86Mi)
% 0.13/0.50  % (18072)Instruction limit reached!
% 0.13/0.50  % (18072)------------------------------
% 0.13/0.50  % (18072)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.50  % (18072)Termination reason: Unknown
% 0.13/0.50  % (18072)Termination phase: shuffling
% 0.13/0.50  
% 0.13/0.50  % (18072)Memory used [KB]: 1918
% 0.13/0.50  % (18072)Time elapsed: 0.008 s
% 0.13/0.50  % (18072)Instructions burned: 20 (million)
% 0.13/0.50  % (18072)------------------------------
% 0.13/0.50  % (18072)------------------------------
% 0.13/0.50  % (18012)First to succeed.
% 0.13/0.51  % (18077)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on Vampire---4 for (2998ds/107Mi)
% 0.13/0.51  % (18012)Refutation found. Thanks to Tanya!
% 0.13/0.51  % SZS status Theorem for Vampire---4
% 0.13/0.51  % SZS output start Proof for Vampire---4
% See solution above
% 0.13/0.51  % (18012)------------------------------
% 0.13/0.51  % (18012)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.51  % (18012)Termination reason: Refutation
% 0.13/0.51  
% 0.13/0.51  % (18012)Memory used [KB]: 8315
% 0.13/0.51  % (18012)Time elapsed: 0.137 s
% 0.13/0.51  % (18012)Instructions burned: 432 (million)
% 0.13/0.51  % (18012)------------------------------
% 0.13/0.51  % (18012)------------------------------
% 0.13/0.51  % (17989)Success in time 0.185 s
% 0.13/0.51  % Vampire---4.8 exiting
%------------------------------------------------------------------------------