TSTP Solution File: ITP177^1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ITP177^1 : TPTP v8.2.0. 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n005.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 : Mon May 20 22:34:17 EDT 2024

% Result   : Theorem 1.32s 0.54s
% Output   : Refutation 1.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  261
% Syntax   : Number of formulae    :  287 (  23 unt; 256 typ;   0 def)
%            Number of atoms       :  105 (  38 equ;   0 cnn)
%            Maximal formula atoms :    2 (   3 avg)
%            Number of connectives :  282 (  10   ~;   5   |;   0   &; 264   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Number of types       :   53 (  52 usr)
%            Number of type conns  :  273 ( 273   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  155 ( 152 usr;  17 con; 0-3 aty)
%            Number of variables   :   31 (  23   ^   7   !;   0   ?;  31   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    set_St761939237tant_a: $tType ).

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

thf(type_def_7,type,
    product_prod_b_b: $tType ).

thf(type_def_9,type,
    set_Pr1324126435od_b_b: $tType ).

thf(type_def_10,type,
    set_la1083530965_a_nat: $tType ).

thf(type_def_11,type,
    labele935650037_a_nat: $tType ).

thf(type_def_12,type,
    set_Pr1987088711_a_nat: $tType ).

thf(type_def_13,type,
    produc1213276845od_b_b: $tType ).

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

thf(type_def_15,type,
    set_Pr1906739389_b_b_b: $tType ).

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

thf(type_def_17,type,
    set_Pr357419743_b_b_b: $tType ).

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

thf(type_def_19,type,
    set_Pr1649131859tant_a: $tType ).

thf(type_def_20,type,
    set_Pr2109276827od_b_b: $tType ).

thf(type_def_21,type,
    set_Pr924198087_a_nat: $tType ).

thf(type_def_22,type,
    set_Pr2007082183od_b_b: $tType ).

thf(type_def_23,type,
    labele1644675410od_b_b: $tType ).

thf(type_def_24,type,
    labele1835558936od_b_b: $tType ).

thf(type_def_25,type,
    labele1159362096nt_a_b: $tType ).

thf(type_def_26,type,
    allego510293162tant_a: $tType ).

thf(type_def_27,type,
    set_Pr1190604087od_b_b: $tType ).

thf(type_def_28,type,
    set_Pr1021918435od_b_b: $tType ).

thf(type_def_29,type,
    set_Pr2106913242_nat_b: $tType ).

thf(type_def_30,type,
    labele1322729112_a_nat: $tType ).

thf(type_def_31,type,
    set_Pr812188767_nat_b: $tType ).

thf(type_def_32,type,
    set_Pr197580003_a_nat: $tType ).

thf(type_def_33,type,
    produc90515391tant_a: $tType ).

thf(type_def_34,type,
    produc970027067od_b_b: $tType ).

thf(type_def_35,type,
    produc1084374401od_b_b: $tType ).

thf(type_def_36,type,
    produc1168037607od_b_b: $tType ).

thf(type_def_37,type,
    produc644633773od_b_b: $tType ).

thf(type_def_38,type,
    produc1871334759_a_nat: $tType ).

thf(type_def_39,type,
    produc1398946881nt_a_b: $tType ).

thf(type_def_40,type,
    produc1990339951od_b_b: $tType ).

thf(type_def_41,type,
    produc276146823_b_b_b: $tType ).

thf(type_def_42,type,
    produc1169496899od_b_b: $tType ).

thf(type_def_43,type,
    produc398057191_a_nat: $tType ).

thf(type_def_44,type,
    produc1485083751od_b_b: $tType ).

thf(type_def_45,type,
    produc845793663_nat_b: $tType ).

thf(type_def_46,type,
    produc1052326083od_b_b: $tType ).

thf(type_def_47,type,
    produc2112523263_b_b_b: $tType ).

thf(type_def_48,type,
    produc1605346267od_b_b: $tType ).

thf(type_def_49,type,
    produc255402447od_b_b: $tType ).

thf(type_def_50,type,
    set_Pr2134561957od_b_b: $tType ).

thf(type_def_51,type,
    set_Pr1954438265od_b_b: $tType ).

thf(type_def_52,type,
    set_Pr667377223od_b_b: $tType ).

thf(type_def_53,type,
    set_Pr1071216121od_b_b: $tType ).

thf(type_def_54,type,
    set_Pr2060523537od_b_b: $tType ).

thf(type_def_55,type,
    set_Pr1646010159_a_nat: $tType ).

thf(type_def_56,type,
    set_Pr621705391od_b_b: $tType ).

thf(type_def_57,type,
    set_Pr154086431tant_a: $tType ).

thf(func_def_0,type,
    set_Pr197580003_a_nat: $tType ).

thf(func_def_1,type,
    set_Pr924198087_a_nat: $tType ).

thf(func_def_2,type,
    produc398057191_a_nat: $tType ).

thf(func_def_3,type,
    set_Pr1954438265od_b_b: $tType ).

thf(func_def_4,type,
    produc1169496899od_b_b: $tType ).

thf(func_def_5,type,
    set_Pr1190604087od_b_b: $tType ).

thf(func_def_6,type,
    produc1084374401od_b_b: $tType ).

thf(func_def_7,type,
    labele1322729112_a_nat: $tType ).

thf(func_def_8,type,
    set_Pr667377223od_b_b: $tType ).

thf(func_def_9,type,
    produc1485083751od_b_b: $tType ).

thf(func_def_10,type,
    set_Pr2109276827od_b_b: $tType ).

thf(func_def_11,type,
    set_Pr1646010159_a_nat: $tType ).

thf(func_def_12,type,
    set_Pr812188767_nat_b: $tType ).

thf(func_def_13,type,
    produc970027067od_b_b: $tType ).

thf(func_def_14,type,
    produc845793663_nat_b: $tType ).

thf(func_def_15,type,
    set_Pr1987088711_a_nat: $tType ).

thf(func_def_16,type,
    produc1871334759_a_nat: $tType ).

thf(func_def_17,type,
    produc1398946881nt_a_b: $tType ).

thf(func_def_18,type,
    labele1644675410od_b_b: $tType ).

thf(func_def_19,type,
    set_Pr1071216121od_b_b: $tType ).

thf(func_def_20,type,
    set_Pr2134561957od_b_b: $tType ).

thf(func_def_21,type,
    set_Pr1021918435od_b_b: $tType ).

thf(func_def_22,type,
    produc1052326083od_b_b: $tType ).

thf(func_def_23,type,
    produc1990339951od_b_b: $tType ).

thf(func_def_24,type,
    produc644633773od_b_b: $tType ).

thf(func_def_25,type,
    set_Pr2060523537od_b_b: $tType ).

thf(func_def_26,type,
    set_Pr1906739389_b_b_b: $tType ).

thf(func_def_27,type,
    produc1605346267od_b_b: $tType ).

thf(func_def_28,type,
    produc276146823_b_b_b: $tType ).

thf(func_def_29,type,
    set_Pr154086431tant_a: $tType ).

thf(func_def_30,type,
    set_Pr1324126435od_b_b: $tType ).

thf(func_def_31,type,
    produc90515391tant_a: $tType ).

thf(func_def_32,type,
    labele1835558936od_b_b: $tType ).

thf(func_def_33,type,
    set_Pr2007082183od_b_b: $tType ).

thf(func_def_34,type,
    produc1213276845od_b_b: $tType ).

thf(func_def_35,type,
    set_la1083530965_a_nat: $tType ).

thf(func_def_36,type,
    produc1168037607od_b_b: $tType ).

thf(func_def_37,type,
    labele935650037_a_nat: $tType ).

thf(func_def_38,type,
    set_Pr1649131859tant_a: $tType ).

thf(func_def_39,type,
    allego510293162tant_a: $tType ).

thf(func_def_40,type,
    labele1159362096nt_a_b: $tType ).

thf(func_def_41,type,
    set_Pr621705391od_b_b: $tType ).

thf(func_def_42,type,
    set_Pr357419743_b_b_b: $tType ).

thf(func_def_43,type,
    produc255402447od_b_b: $tType ).

thf(func_def_44,type,
    produc2112523263_b_b_b: $tType ).

thf(func_def_45,type,
    set_St761939237tant_a: $tType ).

thf(func_def_46,type,
    set_Pr2106913242_nat_b: $tType ).

thf(func_def_47,type,
    set_Product_prod_b_b: $tType ).

thf(func_def_48,type,
    standard_Constant_a: $tType ).

thf(func_def_49,type,
    product_prod_b_b: $tType ).

thf(func_def_50,type,
    set_b: $tType ).

thf(func_def_51,type,
    b: $tType ).

thf(func_def_52,type,
    bNF_Gr1272216980od_b_b: set_St761939237tant_a > ( standard_Constant_a > product_prod_b_b ) > set_Pr1324126435od_b_b ).

thf(func_def_53,type,
    bNF_Gr996500706_a_nat: set_la1083530965_a_nat > ( labele935650037_a_nat > labele935650037_a_nat ) > set_Pr1987088711_a_nat ).

thf(func_def_54,type,
    bNF_Gr492676974_b_b_b: set_Pr1324126435od_b_b > ( produc1213276845od_b_b > b ) > set_Pr1906739389_b_b_b ).

thf(func_def_55,type,
    bNF_Gr521784954_b_b_b: set_Product_prod_b_b > ( product_prod_b_b > b ) > set_Pr357419743_b_b_b ).

thf(func_def_56,type,
    bNF_Gr230160332tant_a: set_b > ( b > standard_Constant_a ) > set_Pr1649131859tant_a ).

thf(func_def_57,type,
    bNF_Gr_b_b: set_b > ( b > b ) > set_Product_prod_b_b ).

thf(func_def_58,type,
    equiv_1821124534_set_b: set_Product_prod_b_b > ( b > set_b ) > $o ).

thf(func_def_59,type,
    equiv_2048442231od_b_b: set_Pr1324126435od_b_b > set_Pr2109276827od_b_b > $o ).

thf(func_def_60,type,
    equiv_291114781_a_nat: set_Pr1987088711_a_nat > set_Pr924198087_a_nat > $o ).

thf(func_def_61,type,
    equiv_1125628061od_b_b: set_Product_prod_b_b > set_Pr2007082183od_b_b > $o ).

thf(func_def_62,type,
    equiv_equiv_b: set_b > set_Product_prod_b_b > $o ).

thf(func_def_63,type,
    hilbert_Eps_b: ( b > $o ) > b ).

thf(func_def_64,type,
    if_b: $o > b > b > b ).

thf(func_def_65,type,
    standard_S_Idt_a: standard_Constant_a ).

thf(func_def_66,type,
    getRel59882567od_b_b: standard_Constant_a > labele1644675410od_b_b > set_Pr2109276827od_b_b ).

thf(func_def_67,type,
    getRel118493133od_b_b: standard_Constant_a > labele1835558936od_b_b > set_Pr2007082183od_b_b ).

thf(func_def_68,type,
    getRel904497637nt_a_b: standard_Constant_a > labele1159362096nt_a_b > set_Product_prod_b_b ).

thf(func_def_69,type,
    semant55076487nt_a_b: labele1159362096nt_a_b > allego510293162tant_a > set_Product_prod_b_b ).

thf(func_def_70,type,
    edge_p1817988046tant_a: set_Pr1906739389_b_b_b > set_Pr1190604087od_b_b > set_Pr1324126435od_b_b > $o ).

thf(func_def_71,type,
    edge_p1969196346tant_a: set_Pr357419743_b_b_b > set_Pr1021918435od_b_b > set_Pr1324126435od_b_b > $o ).

thf(func_def_72,type,
    edge_p1384198690tant_a: set_Product_prod_b_b > set_Pr1324126435od_b_b > set_Pr1324126435od_b_b > $o ).

thf(func_def_73,type,
    graph_714568023_nat_b: labele935650037_a_nat > labele1159362096nt_a_b > set_Pr2106913242_nat_b > $o ).

thf(func_def_74,type,
    graph_726202286_nat_b: labele1322729112_a_nat > labele1159362096nt_a_b > set_Pr812188767_nat_b > $o ).

thf(func_def_75,type,
    graph_222606102_a_b_b: labele1159362096nt_a_b > labele1159362096nt_a_b > set_Product_prod_b_b > $o ).

thf(func_def_76,type,
    graph_1309249505nt_a_b: labele1159362096nt_a_b > labele1159362096nt_a_b > labele1159362096nt_a_b ).

thf(func_def_77,type,
    labele27098724_a_nat: set_Pr197580003_a_nat > set_Pr1987088711_a_nat > labele1322729112_a_nat ).

thf(func_def_78,type,
    labele1230159100nt_a_b: set_Pr1324126435od_b_b > set_b > labele1159362096nt_a_b ).

thf(func_def_79,type,
    labele2032816061od_b_b: labele1644675410od_b_b > set_Pr1190604087od_b_b ).

thf(func_def_80,type,
    labele372159959od_b_b: labele1835558936od_b_b > set_Pr1021918435od_b_b ).

thf(func_def_81,type,
    labele1741081071nt_a_b: labele1159362096nt_a_b > set_Pr1324126435od_b_b ).

thf(func_def_82,type,
    labele595103470od_b_b: labele1644675410od_b_b > set_Pr1324126435od_b_b ).

thf(func_def_83,type,
    labele442485990od_b_b: labele1835558936od_b_b > set_Product_prod_b_b ).

thf(func_def_84,type,
    labele1424214014nt_a_b: labele1159362096nt_a_b > set_b ).

thf(func_def_85,type,
    map_gr1495881666tant_a: set_Pr1906739389_b_b_b > labele1644675410od_b_b > labele1159362096nt_a_b ).

thf(func_def_86,type,
    map_gr1314489926tant_a: set_Pr357419743_b_b_b > labele1835558936od_b_b > labele1159362096nt_a_b ).

thf(func_def_87,type,
    map_gr926947118tant_a: set_Product_prod_b_b > labele1159362096nt_a_b > labele1159362096nt_a_b ).

thf(func_def_88,type,
    restri446606278nt_a_b: labele1159362096nt_a_b > labele1159362096nt_a_b ).

thf(func_def_89,type,
    bot_bo1160111033tant_a: set_St761939237tant_a ).

thf(func_def_90,type,
    bot_bo2122869057_a_nat: set_la1083530965_a_nat ).

thf(func_def_91,type,
    bot_bo1653310327_a_nat: set_Pr197580003_a_nat ).

thf(func_def_92,type,
    bot_bo1664927607od_b_b: set_Pr1324126435od_b_b ).

thf(func_def_93,type,
    bot_bo1836341171_a_nat: set_Pr1987088711_a_nat ).

thf(func_def_94,type,
    bot_bo1973379891_a_nat: set_Pr924198087_a_nat ).

thf(func_def_95,type,
    bot_bo1113554635_nat_b: set_Pr812188767_nat_b ).

thf(func_def_96,type,
    bot_bo1343651123od_b_b: set_Product_prod_b_b ).

thf(func_def_97,type,
    bot_bot_set_b: set_b ).

thf(func_def_98,type,
    ord_le123089219od_b_b: set_Pr1324126435od_b_b > set_Pr1324126435od_b_b > $o ).

thf(func_def_99,type,
    ord_le1718765799_a_nat: set_Pr1987088711_a_nat > set_Pr1987088711_a_nat > $o ).

thf(func_def_100,type,
    ord_le1484132922_nat_b: set_Pr2106913242_nat_b > set_Pr2106913242_nat_b > $o ).

thf(func_def_101,type,
    ord_le107617383_a_nat: set_Pr924198087_a_nat > set_Pr924198087_a_nat > $o ).

thf(func_def_102,type,
    ord_le1036320359od_b_b: set_Product_prod_b_b > set_Product_prod_b_b > $o ).

thf(func_def_103,type,
    ord_less_eq_set_b: set_b > set_b > $o ).

thf(func_def_104,type,
    produc342647tant_a: standard_Constant_a > standard_Constant_a > produc90515391tant_a ).

thf(func_def_105,type,
    produc1788032435od_b_b: standard_Constant_a > produc970027067od_b_b > produc1084374401od_b_b ).

thf(func_def_106,type,
    produc618266719od_b_b: standard_Constant_a > produc1168037607od_b_b > produc644633773od_b_b ).

thf(func_def_107,type,
    produc1432590431od_b_b: standard_Constant_a > product_prod_b_b > produc1213276845od_b_b ).

thf(func_def_108,type,
    produc1676969687_a_nat: labele935650037_a_nat > labele935650037_a_nat > produc1871334759_a_nat ).

thf(func_def_109,type,
    produc1569511545nt_a_b: labele1159362096nt_a_b > labele1159362096nt_a_b > produc1398946881nt_a_b ).

thf(func_def_110,type,
    produc449289715od_b_b: produc1213276845od_b_b > produc1213276845od_b_b > produc970027067od_b_b ).

thf(func_def_111,type,
    produc1597690145od_b_b: produc1213276845od_b_b > product_prod_b_b > produc1990339951od_b_b ).

thf(func_def_112,type,
    produc1580777273_b_b_b: produc1213276845od_b_b > b > produc276146823_b_b_b ).

thf(func_def_113,type,
    produc401731773od_b_b: produc1871334759_a_nat > produc1213276845od_b_b > produc1169496899od_b_b ).

thf(func_def_114,type,
    produc1677124439_a_nat: produc1871334759_a_nat > produc1871334759_a_nat > produc398057191_a_nat ).

thf(func_def_115,type,
    produc590959831od_b_b: produc1871334759_a_nat > product_prod_b_b > produc1485083751od_b_b ).

thf(func_def_116,type,
    produc2059954415_nat_b: produc1871334759_a_nat > b > produc845793663_nat_b ).

thf(func_def_117,type,
    produc732676669od_b_b: product_prod_b_b > produc1213276845od_b_b > produc1052326083od_b_b ).

thf(func_def_118,type,
    produc546497367od_b_b: product_prod_b_b > product_prod_b_b > produc1168037607od_b_b ).

thf(func_def_119,type,
    produc1001682799_b_b_b: product_prod_b_b > b > produc2112523263_b_b_b ).

thf(func_def_120,type,
    produc800495189od_b_b: b > produc1213276845od_b_b > produc1605346267od_b_b ).

thf(func_def_121,type,
    produc1257047359od_b_b: b > product_prod_b_b > produc255402447od_b_b ).

thf(func_def_122,type,
    product_Pair_b_b: b > b > product_prod_b_b ).

thf(func_def_123,type,
    id_on_689842066_a_nat: set_la1083530965_a_nat > set_Pr1987088711_a_nat ).

thf(func_def_124,type,
    id_on_250271696od_b_b: set_Pr1324126435od_b_b > set_Pr2109276827od_b_b ).

thf(func_def_125,type,
    id_on_1651096324_a_nat: set_Pr1987088711_a_nat > set_Pr924198087_a_nat ).

thf(func_def_126,type,
    id_on_2019020932od_b_b: set_Product_prod_b_b > set_Pr2007082183od_b_b ).

thf(func_def_127,type,
    id_on_b: set_b > set_Product_prod_b_b ).

thf(func_def_128,type,
    image_1916422435od_b_b: set_Pr1324126435od_b_b > set_St761939237tant_a > set_Product_prod_b_b ).

thf(func_def_129,type,
    image_1971191571_a_nat: set_Pr1987088711_a_nat > set_la1083530965_a_nat > set_la1083530965_a_nat ).

thf(func_def_130,type,
    image_763305007od_b_b: set_Pr2109276827od_b_b > set_Pr1324126435od_b_b > set_Pr1324126435od_b_b ).

thf(func_def_131,type,
    image_1397930469od_b_b: set_Pr2134561957od_b_b > set_Pr1324126435od_b_b > set_Product_prod_b_b ).

thf(func_def_132,type,
    image_1764625405_b_b_b: set_Pr1906739389_b_b_b > set_Pr1324126435od_b_b > set_b ).

thf(func_def_133,type,
    image_480774529od_b_b: set_Pr1954438265od_b_b > set_Pr1987088711_a_nat > set_Pr1324126435od_b_b ).

thf(func_def_134,type,
    image_1168831379_a_nat: set_Pr924198087_a_nat > set_Pr1987088711_a_nat > set_Pr1987088711_a_nat ).

thf(func_def_135,type,
    image_1214223635od_b_b: set_Pr667377223od_b_b > set_Pr1987088711_a_nat > set_Product_prod_b_b ).

thf(func_def_136,type,
    image_924992811_nat_b: set_Pr812188767_nat_b > set_Pr1987088711_a_nat > set_b ).

thf(func_def_137,type,
    image_532916993od_b_b: set_Pr1071216121od_b_b > set_Product_prod_b_b > set_Pr1324126435od_b_b ).

thf(func_def_138,type,
    image_1928024979od_b_b: set_Pr2007082183od_b_b > set_Product_prod_b_b > set_Product_prod_b_b ).

thf(func_def_139,type,
    image_921732011_b_b_b: set_Pr357419743_b_b_b > set_Product_prod_b_b > set_b ).

thf(func_def_140,type,
    image_984343321od_b_b: set_Pr2060523537od_b_b > set_b > set_Pr1324126435od_b_b ).

thf(func_def_141,type,
    image_1749766139_a_nat: set_Pr1646010159_a_nat > set_b > set_Pr1987088711_a_nat ).

thf(func_def_142,type,
    image_1177096571od_b_b: set_Pr621705391od_b_b > set_b > set_Product_prod_b_b ).

thf(func_def_143,type,
    image_b_b: set_Product_prod_b_b > set_b > set_b ).

thf(func_def_144,type,
    refl_o1031343860_a_nat: set_la1083530965_a_nat > set_Pr1987088711_a_nat > $o ).

thf(func_def_145,type,
    refl_o1921098222od_b_b: set_Pr1324126435od_b_b > set_Pr2109276827od_b_b > $o ).

thf(func_def_146,type,
    refl_o1213627494_a_nat: set_Pr1987088711_a_nat > set_Pr924198087_a_nat > $o ).

thf(func_def_147,type,
    refl_o2134473190od_b_b: set_Product_prod_b_b > set_Pr2007082183od_b_b > $o ).

thf(func_def_148,type,
    refl_on_b: set_b > set_Product_prod_b_b > $o ).

thf(func_def_149,type,
    relcom883816262od_b_b: set_Pr154086431tant_a > set_Pr1324126435od_b_b > set_Pr1324126435od_b_b ).

thf(func_def_150,type,
    relcom1823941168od_b_b: set_Pr1324126435od_b_b > set_Pr2007082183od_b_b > set_Pr1324126435od_b_b ).

thf(func_def_151,type,
    relcom1338300020_a_nat: set_Pr1987088711_a_nat > set_Pr1987088711_a_nat > set_Pr1987088711_a_nat ).

thf(func_def_152,type,
    relcom112561144od_b_b: set_Pr1649131859tant_a > set_Pr1324126435od_b_b > set_Pr621705391od_b_b ).

thf(func_def_153,type,
    relcomp_b_b_b: set_Product_prod_b_b > set_Product_prod_b_b > set_Product_prod_b_b ).

thf(func_def_154,type,
    agree_221379389_a_b_b: labele1159362096nt_a_b > set_Product_prod_b_b > set_Product_prod_b_b > $o ).

thf(func_def_155,type,
    conseq956760372_nat_b: set_Pr1987088711_a_nat > labele1159362096nt_a_b > $o ).

thf(func_def_156,type,
    extens1554515172_nat_b: produc1871334759_a_nat > labele1159362096nt_a_b > set_Pr2106913242_nat_b > $o ).

thf(func_def_157,type,
    extens1779443913_a_b_b: produc1398946881nt_a_b > labele1159362096nt_a_b > set_Product_prod_b_b > $o ).

thf(func_def_158,type,
    mainta1604381365_nat_b: produc1871334759_a_nat > labele1159362096nt_a_b > $o ).

thf(func_def_159,type,
    mainta374363448_a_b_b: produc1398946881nt_a_b > labele1159362096nt_a_b > $o ).

thf(func_def_160,type,
    collec279084418od_b_b: ( produc1213276845od_b_b > $o ) > set_Pr1324126435od_b_b ).

thf(func_def_161,type,
    collec357096914_a_nat: ( produc1871334759_a_nat > $o ) > set_Pr1987088711_a_nat ).

thf(func_def_162,type,
    collec1481886546od_b_b: ( product_prod_b_b > $o ) > set_Product_prod_b_b ).

thf(func_def_163,type,
    collect_b: ( b > $o ) > set_b ).

thf(func_def_164,type,
    image_1683732397od_b_b: ( b > product_prod_b_b ) > set_b > set_Product_prod_b_b ).

thf(func_def_165,type,
    insert1909710879tant_a: standard_Constant_a > set_St761939237tant_a > set_St761939237tant_a ).

thf(func_def_166,type,
    insert1167839429_a_nat: labele935650037_a_nat > set_la1083530965_a_nat > set_la1083530965_a_nat ).

thf(func_def_167,type,
    insert2037698781od_b_b: produc1213276845od_b_b > set_Pr1324126435od_b_b > set_Pr1324126435od_b_b ).

thf(func_def_168,type,
    insert1574423351_a_nat: produc1871334759_a_nat > set_Pr1987088711_a_nat > set_Pr1987088711_a_nat ).

thf(func_def_169,type,
    insert1810136247_a_nat: produc398057191_a_nat > set_Pr924198087_a_nat > set_Pr924198087_a_nat ).

thf(func_def_170,type,
    insert1952693431od_b_b: product_prod_b_b > set_Product_prod_b_b > set_Product_prod_b_b ).

thf(func_def_171,type,
    insert_b: b > set_b > set_b ).

thf(func_def_172,type,
    standa1568205540ules_a: set_St761939237tant_a > set_Pr1987088711_a_nat ).

thf(func_def_173,type,
    standa63370785tant_a: standard_Constant_a > produc1871334759_a_nat ).

thf(func_def_174,type,
    standa997693288tant_a: standard_Constant_a > produc1871334759_a_nat ).

thf(func_def_175,type,
    standa1795879409tant_a: standard_Constant_a > produc1871334759_a_nat ).

thf(func_def_176,type,
    member1632892294tant_a: standard_Constant_a > set_St761939237tant_a > $o ).

thf(func_def_177,type,
    member1214736488tant_a: produc90515391tant_a > set_Pr154086431tant_a > $o ).

thf(func_def_178,type,
    member147868824od_b_b: produc1084374401od_b_b > set_Pr1190604087od_b_b > $o ).

thf(func_def_179,type,
    member1744485444od_b_b: produc644633773od_b_b > set_Pr1021918435od_b_b > $o ).

thf(func_def_180,type,
    member1516365892od_b_b: produc1213276845od_b_b > set_Pr1324126435od_b_b > $o ).

thf(func_def_181,type,
    member832397200_a_nat: produc1871334759_a_nat > set_Pr1987088711_a_nat > $o ).

thf(func_def_182,type,
    member1086024932od_b_b: produc970027067od_b_b > set_Pr2109276827od_b_b > $o ).

thf(func_def_183,type,
    member942707974od_b_b: produc1990339951od_b_b > set_Pr2134561957od_b_b > $o ).

thf(func_def_184,type,
    member1417789726_b_b_b: produc276146823_b_b_b > set_Pr1906739389_b_b_b > $o ).

thf(func_def_185,type,
    member1533761242od_b_b: produc1169496899od_b_b > set_Pr1954438265od_b_b > $o ).

thf(func_def_186,type,
    member584645392_a_nat: produc398057191_a_nat > set_Pr924198087_a_nat > $o ).

thf(func_def_187,type,
    member301892752od_b_b: produc1485083751od_b_b > set_Pr667377223od_b_b > $o ).

thf(func_def_188,type,
    member1544800936_nat_b: produc845793663_nat_b > set_Pr812188767_nat_b > $o ).

thf(func_def_189,type,
    member4694106od_b_b: produc1052326083od_b_b > set_Pr1071216121od_b_b > $o ).

thf(func_def_190,type,
    member1652792080od_b_b: produc1168037607od_b_b > set_Pr2007082183od_b_b > $o ).

thf(func_def_191,type,
    member351494440_b_b_b: produc2112523263_b_b_b > set_Pr357419743_b_b_b > $o ).

thf(func_def_192,type,
    member599505522od_b_b: produc1605346267od_b_b > set_Pr2060523537od_b_b > $o ).

thf(func_def_193,type,
    member641857272od_b_b: produc255402447od_b_b > set_Pr621705391od_b_b > $o ).

thf(func_def_194,type,
    member1285940496od_b_b: product_prod_b_b > set_Product_prod_b_b > $o ).

thf(func_def_195,type,
    member_b: b > set_b > $o ).

thf(func_def_196,type,
    g: labele1159362096nt_a_b ).

thf(func_def_197,type,
    l: set_St761939237tant_a ).

thf(func_def_198,type,
    p: b > b > $o ).

thf(func_def_199,type,
    f: b > b ).

thf(func_def_200,type,
    l2: standard_Constant_a ).

thf(func_def_201,type,
    x: b ).

thf(func_def_202,type,
    y: b ).

thf(func_def_219,type,
    ph1: 
      !>[X0: $tType] : X0 ).

thf(f1039,plain,
    $false,
    inference(subsumption_resolution,[],[f1038,f987]) ).

thf(f987,plain,
    ( ( member_b @ x @ ( labele1424214014nt_a_b @ g ) )
   != $true ),
    inference(cnf_transformation,[],[f957]) ).

thf(f957,plain,
    ( ( member_b @ x @ ( labele1424214014nt_a_b @ g ) )
   != $true ),
    inference(flattening,[],[f496]) ).

thf(f496,plain,
    ( ( member_b @ x @ ( labele1424214014nt_a_b @ g ) )
   != $true ),
    inference(fool_elimination,[],[f495]) ).

thf(f495,plain,
    ~ ( member_b @ x @ ( labele1424214014nt_a_b @ g ) ),
    inference(rectify,[],[f361]) ).

thf(f361,negated_conjecture,
    ~ ( member_b @ x @ ( labele1424214014nt_a_b @ g ) ),
    inference(negated_conjecture,[],[f360]) ).

thf(f360,conjecture,
    member_b @ x @ ( labele1424214014nt_a_b @ g ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

thf(f1038,plain,
    ( ( member_b @ x @ ( labele1424214014nt_a_b @ g ) )
    = $true ),
    inference(trivial_inequality_removal,[],[f1037]) ).

thf(f1037,plain,
    ( ( $true != $true )
    | ( ( member_b @ x @ ( labele1424214014nt_a_b @ g ) )
      = $true ) ),
    inference(superposition,[],[f1022,f1020]) ).

thf(f1020,plain,
    ( ( member_b
      @ ( if_b
        @ ( bot_bot_set_b
          = ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) ) )
        @ x
        @ ( hilbert_Eps_b
          @ ^ [Y0: b] : ( member_b @ Y0 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) ) ) ) )
      @ ( labele1424214014nt_a_b @ g ) )
    = $true ),
    inference(beta_eta_normalization,[],[f999]) ).

thf(f999,plain,
    ( ( member_b
      @ ( ^ [Y0: b] :
            ( if_b
            @ ( bot_bot_set_b
              = ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ Y0 @ bot_bot_set_b ) ) )
            @ Y0
            @ ( hilbert_Eps_b
              @ ( ^ [Y1: b,Y2: b] : ( member_b @ Y2 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ Y1 @ bot_bot_set_b ) ) )
                @ Y0 ) ) )
        @ x )
      @ ( labele1424214014nt_a_b @ g ) )
    = $true ),
    inference(definition_unfolding,[],[f972,f997]) ).

thf(f997,plain,
    ( f
    = ( ^ [Y0: b] :
          ( if_b
          @ ( bot_bot_set_b
            = ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ Y0 @ bot_bot_set_b ) ) )
          @ Y0
          @ ( hilbert_Eps_b
            @ ( ^ [Y1: b,Y2: b] : ( member_b @ Y2 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ Y1 @ bot_bot_set_b ) ) )
              @ Y0 ) ) ) ) ),
    inference(definition_unfolding,[],[f983,f975]) ).

thf(f975,plain,
    ( p
    = ( ^ [Y0: b,Y1: b] : ( member_b @ Y1 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ Y0 @ bot_bot_set_b ) ) ) ) ),
    inference(cnf_transformation,[],[f826]) ).

thf(f826,plain,
    ( p
    = ( ^ [Y0: b,Y1: b] : ( member_b @ Y1 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ Y0 @ bot_bot_set_b ) ) ) ) ),
    inference(fool_elimination,[],[f825]) ).

thf(f825,plain,
    ( p
    = ( ^ [X0: b,X1: b] : ( member_b @ X1 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ X0 @ bot_bot_set_b ) ) ) ) ),
    inference(rectify,[],[f354]) ).

thf(f354,axiom,
    ( p
    = ( ^ [X26: b,X85: b] : ( member_b @ X85 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ X26 @ bot_bot_set_b ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_353_P) ).

thf(f983,plain,
    ( f
    = ( ^ [Y0: b] :
          ( if_b
          @ ( bot_bot_set_b
            = ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ Y0 @ bot_bot_set_b ) ) )
          @ Y0
          @ ( hilbert_Eps_b @ ( p @ Y0 ) ) ) ) ),
    inference(cnf_transformation,[],[f824]) ).

thf(f824,plain,
    ( f
    = ( ^ [Y0: b] :
          ( if_b
          @ ( bot_bot_set_b
            = ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ Y0 @ bot_bot_set_b ) ) )
          @ Y0
          @ ( hilbert_Eps_b @ ( p @ Y0 ) ) ) ) ),
    inference(fool_elimination,[],[f823]) ).

thf(f823,plain,
    ( ( ^ [X0: b] :
          ( if_b
          @ ( bot_bot_set_b
            = ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ X0 @ bot_bot_set_b ) ) )
          @ X0
          @ ( hilbert_Eps_b @ ( p @ X0 ) ) ) )
    = f ),
    inference(rectify,[],[f129]) ).

thf(f129,axiom,
    ( ( ^ [X26: b] :
          ( if_b
          @ ( bot_bot_set_b
            = ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ X26 @ bot_bot_set_b ) ) )
          @ X26
          @ ( hilbert_Eps_b @ ( p @ X26 ) ) ) )
    = f ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_128__092_060open_062f_A_092_060equiv_062_A_092_060lambda_062x_O_Aif_AgetRel_AS__Idt_AG_A_096_096_A_123x_125_A_061_A_123_125_Athen_Ax_Aelse_AEps_A_IP_Ax_J_092_060close_062) ).

thf(f972,plain,
    ( ( member_b @ ( f @ x ) @ ( labele1424214014nt_a_b @ g ) )
    = $true ),
    inference(cnf_transformation,[],[f628]) ).

thf(f628,plain,
    ( ( member_b @ ( f @ x ) @ ( labele1424214014nt_a_b @ g ) )
    = $true ),
    inference(fool_elimination,[],[f627]) ).

thf(f627,plain,
    member_b @ ( f @ x ) @ ( labele1424214014nt_a_b @ g ),
    inference(rectify,[],[f3]) ).

thf(f3,axiom,
    member_b @ ( f @ x ) @ ( labele1424214014nt_a_b @ g ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_fv_I1_J) ).

thf(f1022,plain,
    ! [X0: b] :
      ( ( ( member_b
          @ ( if_b
            @ ( bot_bot_set_b
              = ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ X0 @ bot_bot_set_b ) ) )
            @ X0
            @ ( hilbert_Eps_b
              @ ^ [Y0: b] : ( member_b @ Y0 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ X0 @ bot_bot_set_b ) ) ) ) )
          @ ( labele1424214014nt_a_b @ g ) )
       != $true )
      | ( ( member_b @ X0 @ ( labele1424214014nt_a_b @ g ) )
        = $true ) ),
    inference(beta_eta_normalization,[],[f1002]) ).

thf(f1002,plain,
    ! [X0: b] :
      ( ( ( member_b @ X0 @ ( labele1424214014nt_a_b @ g ) )
        = $true )
      | ( ( member_b
          @ ( ^ [Y0: b] :
                ( if_b
                @ ( bot_bot_set_b
                  = ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ Y0 @ bot_bot_set_b ) ) )
                @ Y0
                @ ( hilbert_Eps_b
                  @ ( ^ [Y1: b,Y2: b] : ( member_b @ Y2 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ Y1 @ bot_bot_set_b ) ) )
                    @ Y0 ) ) )
            @ X0 )
          @ ( labele1424214014nt_a_b @ g ) )
       != $true ) ),
    inference(definition_unfolding,[],[f979,f997]) ).

thf(f979,plain,
    ! [X0: b] :
      ( ( ( member_b @ ( f @ X0 ) @ ( labele1424214014nt_a_b @ g ) )
       != $true )
      | ( ( member_b @ X0 @ ( labele1424214014nt_a_b @ g ) )
        = $true ) ),
    inference(cnf_transformation,[],[f969]) ).

thf(f969,plain,
    ! [X0: b] :
      ( ( ( member_b @ ( f @ X0 ) @ ( labele1424214014nt_a_b @ g ) )
       != $true )
      | ( ( member_b @ X0 @ ( labele1424214014nt_a_b @ g ) )
        = $true ) ),
    inference(ennf_transformation,[],[f396]) ).

thf(f396,plain,
    ! [X0: b] :
      ( ( ( member_b @ ( f @ X0 ) @ ( labele1424214014nt_a_b @ g ) )
        = $true )
     => ( ( member_b @ X0 @ ( labele1424214014nt_a_b @ g ) )
        = $true ) ),
    inference(fool_elimination,[],[f395]) ).

thf(f395,plain,
    ! [X0: b] :
      ( ( member_b @ ( f @ X0 ) @ ( labele1424214014nt_a_b @ g ) )
     => ( member_b @ X0 @ ( labele1424214014nt_a_b @ g ) ) ),
    inference(rectify,[],[f1]) ).

thf(f1,axiom,
    ! [X0: b] :
      ( ( member_b @ ( f @ X0 ) @ ( labele1424214014nt_a_b @ g ) )
     => ( member_b @ X0 @ ( labele1424214014nt_a_b @ g ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0__092_060open_062_092_060And_062xa_O_A_092_060lbrakk_062f_Axa_A_092_060in_062_Avertices_AG_059_Axa_A_092_060notin_062_Avertices_AG_092_060rbrakk_062_A_092_060Longrightarrow_062_AFalse_092_060close_062) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : ITP177^1 : TPTP v8.2.0. Released v7.5.0.
% 0.03/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35  % Computer : n005.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sat May 18 18:29:08 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a TH0_THM_EQU_NAR problem
% 0.14/0.36  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/sandbox/benchmark/theBenchmark.p
% 0.21/0.40  % (13226)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.21/0.41  % (13228)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 theBenchmark for (2999ds/27Mi)
% 0.21/0.41  % (13227)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 theBenchmark for (2999ds/4Mi)
% 0.21/0.41  % (13229)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.41  % (13230)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.41  % (13231)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.21/0.41  % (13232)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.21/0.41  % (13233)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.41  % (13229)Instruction limit reached!
% 0.21/0.41  % (13229)------------------------------
% 0.21/0.41  % (13229)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41  % (13229)Termination reason: Unknown
% 0.21/0.41  % (13230)Instruction limit reached!
% 0.21/0.41  % (13230)------------------------------
% 0.21/0.41  % (13230)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41  % (13229)Termination phase: shuffling
% 0.21/0.41  
% 0.21/0.41  % (13229)Memory used [KB]: 1663
% 0.21/0.41  % (13229)Time elapsed: 0.003 s
% 0.21/0.41  % (13229)Instructions burned: 2 (million)
% 0.21/0.41  % (13229)------------------------------
% 0.21/0.41  % (13229)------------------------------
% 0.21/0.41  % (13230)Termination reason: Unknown
% 0.21/0.41  % (13230)Termination phase: shuffling
% 0.21/0.41  
% 0.21/0.41  % (13230)Memory used [KB]: 1663
% 0.21/0.41  % (13230)Time elapsed: 0.004 s
% 0.21/0.41  % (13230)Instructions burned: 2 (million)
% 0.21/0.41  % (13230)------------------------------
% 0.21/0.41  % (13230)------------------------------
% 0.21/0.41  % (13233)Instruction limit reached!
% 0.21/0.41  % (13233)------------------------------
% 0.21/0.41  % (13233)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41  % (13233)Termination reason: Unknown
% 0.21/0.41  % (13233)Termination phase: shuffling
% 0.21/0.41  
% 0.21/0.41  % (13233)Memory used [KB]: 1663
% 0.21/0.41  % (13233)Time elapsed: 0.004 s
% 0.21/0.41  % (13233)Instructions burned: 3 (million)
% 0.21/0.41  % (13233)------------------------------
% 0.21/0.41  % (13233)------------------------------
% 0.21/0.41  % (13227)Instruction limit reached!
% 0.21/0.41  % (13227)------------------------------
% 0.21/0.41  % (13227)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41  % (13227)Termination reason: Unknown
% 0.21/0.41  % (13227)Termination phase: shuffling
% 0.21/0.41  
% 0.21/0.41  % (13227)Memory used [KB]: 1791
% 0.21/0.41  % (13227)Time elapsed: 0.005 s
% 0.21/0.41  % (13227)Instructions burned: 5 (million)
% 0.21/0.41  % (13227)------------------------------
% 0.21/0.41  % (13227)------------------------------
% 0.21/0.42  % (13232)Instruction limit reached!
% 0.21/0.42  % (13232)------------------------------
% 0.21/0.42  % (13232)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42  % (13232)Termination reason: Unknown
% 0.21/0.42  % (13232)Termination phase: shuffling
% 0.21/0.42  
% 0.21/0.42  % (13232)Memory used [KB]: 1918
% 0.21/0.42  % (13232)Time elapsed: 0.014 s
% 0.21/0.42  % (13232)Instructions burned: 18 (million)
% 0.21/0.42  % (13232)------------------------------
% 0.21/0.42  % (13232)------------------------------
% 0.21/0.42  % (13234)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 theBenchmark for (2999ds/37Mi)
% 0.21/0.42  % (13228)Instruction limit reached!
% 0.21/0.42  % (13228)------------------------------
% 0.21/0.42  % (13228)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42  % (13228)Termination reason: Unknown
% 0.21/0.42  % (13228)Termination phase: shuffling
% 0.21/0.42  
% 0.21/0.42  % (13228)Memory used [KB]: 2174
% 0.21/0.42  % (13228)Time elapsed: 0.020 s
% 0.21/0.42  % (13228)Instructions burned: 27 (million)
% 0.21/0.42  % (13228)------------------------------
% 0.21/0.42  % (13228)------------------------------
% 0.21/0.42  % (13235)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 theBenchmark for (2999ds/15Mi)
% 0.21/0.43  % (13237)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 theBenchmark for (2999ds/1041Mi)
% 0.21/0.43  % (13236)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.43  % (13236)Instruction limit reached!
% 0.21/0.43  % (13236)------------------------------
% 0.21/0.43  % (13236)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43  % (13236)Termination reason: Unknown
% 0.21/0.43  % (13236)Termination phase: shuffling
% 0.21/0.43  
% 0.21/0.43  % (13236)Memory used [KB]: 1663
% 0.21/0.43  % (13236)Time elapsed: 0.004 s
% 0.21/0.43  % (13236)Instructions burned: 3 (million)
% 0.21/0.43  % (13236)------------------------------
% 0.21/0.43  % (13236)------------------------------
% 0.21/0.43  % (13240)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.43  % (13235)Instruction limit reached!
% 0.21/0.43  % (13235)------------------------------
% 0.21/0.43  % (13235)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43  % (13235)Termination reason: Unknown
% 0.21/0.43  % (13235)Termination phase: shuffling
% 0.21/0.43  
% 0.21/0.43  % (13235)Memory used [KB]: 1918
% 0.21/0.43  % (13235)Time elapsed: 0.013 s
% 0.21/0.43  % (13235)Instructions burned: 16 (million)
% 0.21/0.43  % (13235)------------------------------
% 0.21/0.43  % (13235)------------------------------
% 0.21/0.44  % (13243)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.44  % (13240)Instruction limit reached!
% 0.21/0.44  % (13240)------------------------------
% 0.21/0.44  % (13240)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44  % (13240)Termination reason: Unknown
% 0.21/0.44  % (13240)Termination phase: shuffling
% 0.21/0.44  
% 0.21/0.44  % (13240)Memory used [KB]: 1791
% 0.21/0.44  % (13240)Time elapsed: 0.007 s
% 0.21/0.44  % (13240)Instructions burned: 7 (million)
% 0.21/0.44  % (13240)------------------------------
% 0.21/0.44  % (13240)------------------------------
% 0.21/0.44  % (13231)Refutation not found, incomplete strategy
% 0.21/0.44  % (13231)------------------------------
% 0.21/0.44  % (13231)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44  % (13231)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.44  
% 0.21/0.44  
% 0.21/0.44  % (13231)Memory used [KB]: 6652
% 0.21/0.44  % (13231)Time elapsed: 0.037 s
% 0.21/0.44  % (13231)Instructions burned: 53 (million)
% 0.21/0.44  % (13231)------------------------------
% 0.21/0.44  % (13231)------------------------------
% 0.21/0.44  % (13234)Instruction limit reached!
% 0.21/0.44  % (13234)------------------------------
% 0.21/0.44  % (13234)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44  % (13234)Termination reason: Unknown
% 0.21/0.44  % (13234)Termination phase: shuffling
% 0.21/0.44  
% 0.21/0.44  % (13234)Memory used [KB]: 2302
% 0.21/0.44  % (13234)Time elapsed: 0.022 s
% 0.21/0.44  % (13234)Instructions burned: 38 (million)
% 0.21/0.44  % (13234)------------------------------
% 0.21/0.44  % (13234)------------------------------
% 0.21/0.45  % (13245)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 theBenchmark for (2999ds/3Mi)
% 0.21/0.45  % (13243)Instruction limit reached!
% 0.21/0.45  % (13243)------------------------------
% 0.21/0.45  % (13243)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45  % (13243)Termination reason: Unknown
% 0.21/0.45  % (13243)Termination phase: shuffling
% 0.21/0.45  
% 0.21/0.45  % (13243)Memory used [KB]: 1918
% 0.21/0.45  % (13243)Time elapsed: 0.013 s
% 0.21/0.45  % (13243)Instructions burned: 17 (million)
% 0.21/0.45  % (13243)------------------------------
% 0.21/0.45  % (13243)------------------------------
% 0.21/0.45  % (13247)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 theBenchmark for (2999ds/3Mi)
% 0.21/0.45  % (13245)Instruction limit reached!
% 0.21/0.45  % (13245)------------------------------
% 0.21/0.45  % (13245)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45  % (13245)Termination reason: Unknown
% 0.21/0.45  % (13245)Termination phase: shuffling
% 0.21/0.45  
% 0.21/0.45  % (13245)Memory used [KB]: 1663
% 0.21/0.45  % (13245)Time elapsed: 0.005 s
% 0.21/0.45  % (13245)Instructions burned: 4 (million)
% 0.21/0.45  % (13245)------------------------------
% 0.21/0.45  % (13245)------------------------------
% 0.21/0.45  % (13247)Instruction limit reached!
% 0.21/0.45  % (13247)------------------------------
% 0.21/0.45  % (13247)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45  % (13247)Termination reason: Unknown
% 0.21/0.45  % (13249)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.45  % (13247)Termination phase: shuffling
% 0.21/0.45  
% 0.21/0.45  % (13247)Memory used [KB]: 1663
% 0.21/0.45  % (13247)Time elapsed: 0.005 s
% 0.21/0.45  % (13247)Instructions burned: 3 (million)
% 0.21/0.45  % (13247)------------------------------
% 0.21/0.45  % (13247)------------------------------
% 0.21/0.46  % (13250)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.46  % (13249)Instruction limit reached!
% 0.21/0.46  % (13249)------------------------------
% 0.21/0.46  % (13249)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46  % (13249)Termination reason: Unknown
% 0.21/0.46  % (13249)Termination phase: shuffling
% 0.21/0.46  
% 0.21/0.46  % (13249)Memory used [KB]: 1791
% 0.21/0.46  % (13249)Time elapsed: 0.007 s
% 0.21/0.46  % (13251)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.46  % (13249)Instructions burned: 7 (million)
% 0.21/0.46  % (13249)------------------------------
% 0.21/0.46  % (13249)------------------------------
% 0.21/0.46  % (13250)Instruction limit reached!
% 0.21/0.46  % (13250)------------------------------
% 0.21/0.46  % (13250)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46  % (13250)Termination reason: Unknown
% 0.21/0.46  % (13250)Termination phase: shuffling
% 0.21/0.46  
% 0.21/0.46  % (13250)Memory used [KB]: 1663
% 0.21/0.46  % (13250)Time elapsed: 0.004 s
% 0.21/0.46  % (13250)Instructions burned: 3 (million)
% 0.21/0.46  % (13250)------------------------------
% 0.21/0.46  % (13250)------------------------------
% 0.21/0.46  % (13251)Instruction limit reached!
% 0.21/0.46  % (13251)------------------------------
% 0.21/0.46  % (13251)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46  % (13251)Termination reason: Unknown
% 0.21/0.46  % (13251)Termination phase: shuffling
% 0.21/0.46  
% 0.21/0.46  % (13251)Memory used [KB]: 1663
% 0.21/0.46  % (13251)Time elapsed: 0.004 s
% 0.21/0.46  % (13251)Instructions burned: 4 (million)
% 0.21/0.46  % (13251)------------------------------
% 0.21/0.46  % (13251)------------------------------
% 0.21/0.46  % (13253)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.21/0.47  % (13254)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.21/0.47  % (13226)Instruction limit reached!
% 0.21/0.47  % (13226)------------------------------
% 0.21/0.47  % (13226)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47  % (13226)Termination reason: Unknown
% 0.21/0.47  % (13226)Termination phase: Saturation
% 0.21/0.47  
% 0.21/0.47  % (13226)Memory used [KB]: 7675
% 0.21/0.47  % (13226)Time elapsed: 0.069 s
% 0.21/0.47  % (13226)Instructions burned: 184 (million)
% 0.21/0.47  % (13226)------------------------------
% 0.21/0.47  % (13226)------------------------------
% 0.21/0.47  % (13256)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.47  % (13259)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 theBenchmark for (2999ds/902Mi)
% 0.21/0.47  % (13256)Instruction limit reached!
% 0.21/0.47  % (13256)------------------------------
% 0.21/0.47  % (13256)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47  % (13256)Termination reason: Unknown
% 0.21/0.47  % (13256)Termination phase: shuffling
% 0.21/0.47  
% 0.21/0.47  % (13256)Memory used [KB]: 1791
% 0.21/0.47  % (13256)Time elapsed: 0.006 s
% 0.21/0.47  % (13256)Instructions burned: 6 (million)
% 0.21/0.47  % (13256)------------------------------
% 0.21/0.47  % (13256)------------------------------
% 0.21/0.47  % (13260)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 theBenchmark for (2999ds/21Mi)
% 0.21/0.48  % (13253)Instruction limit reached!
% 0.21/0.48  % (13253)------------------------------
% 0.21/0.48  % (13253)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.48  % (13253)Termination reason: Unknown
% 0.21/0.48  % (13253)Termination phase: shuffling
% 0.21/0.48  
% 0.21/0.48  % (13253)Memory used [KB]: 1918
% 0.21/0.48  % (13253)Time elapsed: 0.014 s
% 0.21/0.48  % (13253)Instructions burned: 19 (million)
% 0.21/0.48  % (13253)------------------------------
% 0.21/0.48  % (13253)------------------------------
% 0.21/0.48  % (13262)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.21/0.48  % (13262)Instruction limit reached!
% 0.21/0.48  % (13262)------------------------------
% 0.21/0.48  % (13262)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.48  % (13262)Termination reason: Unknown
% 0.21/0.48  % (13262)Termination phase: shuffling
% 0.21/0.48  
% 0.21/0.48  % (13262)Memory used [KB]: 1791
% 0.21/0.48  % (13262)Time elapsed: 0.005 s
% 0.21/0.48  % (13262)Instructions burned: 6 (million)
% 0.21/0.48  % (13262)------------------------------
% 0.21/0.48  % (13262)------------------------------
% 0.21/0.48  % (13267)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 theBenchmark for (2998ds/6Mi)
% 0.21/0.49  % (13267)Instruction limit reached!
% 0.21/0.49  % (13267)------------------------------
% 0.21/0.49  % (13267)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.49  % (13267)Termination reason: Unknown
% 0.21/0.49  % (13267)Termination phase: shuffling
% 0.21/0.49  
% 0.21/0.49  % (13267)Memory used [KB]: 1791
% 0.21/0.49  % (13267)Time elapsed: 0.006 s
% 0.21/0.49  % (13267)Instructions burned: 6 (million)
% 0.21/0.49  % (13267)------------------------------
% 0.21/0.49  % (13267)------------------------------
% 0.21/0.49  % (13260)Instruction limit reached!
% 0.21/0.49  % (13260)------------------------------
% 0.21/0.49  % (13260)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.49  % (13260)Termination reason: Unknown
% 0.21/0.49  % (13260)Termination phase: shuffling
% 0.21/0.49  
% 0.21/0.49  % (13260)Memory used [KB]: 2046
% 0.21/0.49  % (13260)Time elapsed: 0.016 s
% 0.21/0.49  % (13260)Instructions burned: 21 (million)
% 0.21/0.49  % (13260)------------------------------
% 0.21/0.49  % (13260)------------------------------
% 0.21/0.49  % (13274)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.21/0.49  % (13277)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 theBenchmark for (2998ds/779Mi)
% 0.21/0.49  % (13254)Refutation not found, incomplete strategy
% 0.21/0.49  % (13254)------------------------------
% 0.21/0.49  % (13254)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.49  % (13254)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.49  
% 0.21/0.49  
% 0.21/0.49  % (13254)Memory used [KB]: 6652
% 0.21/0.49  % (13254)Time elapsed: 0.030 s
% 0.21/0.49  % (13254)Instructions burned: 52 (million)
% 0.21/0.49  % (13254)------------------------------
% 0.21/0.49  % (13254)------------------------------
% 0.21/0.50  % (13279)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 theBenchmark for (2998ds/19Mi)
% 0.21/0.50  % (13282)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2998ds/879Mi)
% 0.21/0.50  % (13284)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.21/0.51  % (13289)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.21/0.51  % (13289)Instruction limit reached!
% 0.21/0.51  % (13289)------------------------------
% 0.21/0.51  % (13289)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.51  % (13289)Termination reason: Unknown
% 0.21/0.51  % (13289)Termination phase: shuffling
% 0.21/0.51  
% 0.21/0.51  % (13289)Memory used [KB]: 1663
% 0.21/0.51  % (13289)Time elapsed: 0.003 s
% 0.21/0.51  % (13289)Instructions burned: 3 (million)
% 0.21/0.51  % (13289)------------------------------
% 0.21/0.51  % (13289)------------------------------
% 0.21/0.51  % (13279)Instruction limit reached!
% 0.21/0.51  % (13279)------------------------------
% 0.21/0.51  % (13279)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.51  % (13279)Termination reason: Unknown
% 0.21/0.51  % (13279)Termination phase: shuffling
% 0.21/0.51  
% 0.21/0.51  % (13279)Memory used [KB]: 2046
% 0.21/0.51  % (13279)Time elapsed: 0.016 s
% 0.21/0.51  % (13279)Instructions burned: 19 (million)
% 0.21/0.51  % (13279)------------------------------
% 0.21/0.51  % (13279)------------------------------
% 0.21/0.51  % (13284)Instruction limit reached!
% 0.21/0.51  % (13284)------------------------------
% 0.21/0.51  % (13284)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.51  % (13284)Termination reason: Unknown
% 0.21/0.51  % (13284)Termination phase: shuffling
% 0.21/0.51  
% 0.21/0.51  % (13284)Memory used [KB]: 1918
% 0.21/0.51  % (13284)Time elapsed: 0.011 s
% 0.21/0.51  % (13284)Instructions burned: 18 (million)
% 0.21/0.51  % (13284)------------------------------
% 0.21/0.51  % (13284)------------------------------
% 0.21/0.52  % (13296)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.21/0.52  % (13300)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2998ds/127Mi)
% 0.21/0.52  % (13303)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.32/0.54  % (13296)Instruction limit reached!
% 1.32/0.54  % (13296)------------------------------
% 1.32/0.54  % (13296)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.32/0.54  % (13296)Termination reason: Unknown
% 1.32/0.54  % (13296)Termination phase: shuffling
% 1.32/0.54  
% 1.32/0.54  % (13296)Memory used [KB]: 2302
% 1.32/0.54  % (13296)Time elapsed: 0.013 s
% 1.32/0.54  % (13296)Instructions burned: 31 (million)
% 1.32/0.54  % (13296)------------------------------
% 1.32/0.54  % (13296)------------------------------
% 1.32/0.54  % (13282)First to succeed.
% 1.32/0.54  % (13282)Refutation found. Thanks to Tanya!
% 1.32/0.54  % SZS status Theorem for theBenchmark
% 1.32/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 1.32/0.55  % (13282)------------------------------
% 1.32/0.55  % (13282)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.32/0.55  % (13282)Termination reason: Refutation
% 1.32/0.55  
% 1.32/0.55  % (13282)Memory used [KB]: 7036
% 1.32/0.55  % (13282)Time elapsed: 0.042 s
% 1.32/0.55  % (13282)Instructions burned: 80 (million)
% 1.32/0.55  % (13282)------------------------------
% 1.32/0.55  % (13282)------------------------------
% 1.32/0.55  % (13225)Success in time 0.174 s
% 1.32/0.55  % Vampire---4.8 exiting
%------------------------------------------------------------------------------