TSTP Solution File: ITP178^1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ITP178^1 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n006.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 22:34:18 EDT 2024

% Result   : Theorem 0.21s 0.52s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :  259
% Syntax   : Number of formulae    :  304 (  26 unt; 250 typ;   0 def)
%            Number of atoms       :  194 (  98 equ;   0 cnn)
%            Maximal formula atoms :    4 (   3 avg)
%            Number of connectives : 1658 (  48   ~;  32   |;  24   &;1550   @)
%                                         (   1 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Number of types       :   42 (  41 usr)
%            Number of type conns  :  254 ( 254   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  171 ( 168 usr;  14 con; 0-6 aty)
%            Number of variables   :   78 (   0   ^  72   !;   6   ?;  78   :)

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

thf(type_def_7,type,
    set_Pr1647387645at_nat: $tType ).

thf(type_def_8,type,
    set_Pr1986765409at_nat: $tType ).

thf(type_def_9,type,
    set_Pr1490359111at_nat: $tType ).

thf(type_def_10,type,
    set_Pr9961929at_nat: $tType ).

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

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

thf(type_def_13,type,
    allego510293162tant_a: $tType ).

thf(type_def_14,type,
    allego1565409692at_nat: $tType ).

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

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

thf(type_def_17,type,
    labele935650037_a_nat: $tType ).

thf(type_def_18,type,
    labele1835409643at_nat: $tType ).

thf(type_def_19,type,
    set_Pr1163220871term_b: $tType ).

thf(type_def_20,type,
    set_Pr1987088711_a_nat: $tType ).

thf(type_def_21,type,
    set_Pr551076371_b_nat: $tType ).

thf(type_def_22,type,
    set_Pr2041158302at_nat: $tType ).

thf(type_def_23,type,
    produc1871334759_a_nat: $tType ).

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

thf(type_def_25,type,
    produc1478835367term_b: $tType ).

thf(type_def_26,type,
    produc1391440311at_nat: $tType ).

thf(type_def_27,type,
    produc1235635379_b_nat: $tType ).

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

thf(type_def_29,type,
    produc1116408039term_b: $tType ).

thf(type_def_30,type,
    produc398057191_a_nat: $tType ).

thf(type_def_31,type,
    produc446386919_b_nat: $tType ).

thf(type_def_32,type,
    produc842455143at_nat: $tType ).

thf(type_def_33,type,
    produc116665063_a_nat: $tType ).

thf(type_def_34,type,
    set_al1193902458term_b: $tType ).

thf(type_def_35,type,
    set_la1083530965_a_nat: $tType ).

thf(type_def_36,type,
    set_la1976028319_b_nat: $tType ).

thf(type_def_37,type,
    set_Pr1839611079term_b: $tType ).

thf(type_def_38,type,
    set_Pr924198087_a_nat: $tType ).

thf(type_def_39,type,
    set_Pr1173424071_b_nat: $tType ).

thf(type_def_40,type,
    set_Pr2123625671_a_nat: $tType ).

thf(type_def_41,type,
    set_Pr665622551at_nat: $tType ).

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

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

thf(type_def_44,type,
    set_St761939237tant_a: $tType ).

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

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

thf(func_def_0,type,
    set_Pr2123625671_a_nat: $tType ).

thf(func_def_1,type,
    produc116665063_a_nat: $tType ).

thf(func_def_2,type,
    set_Pr924198087_a_nat: $tType ).

thf(func_def_3,type,
    produc398057191_a_nat: $tType ).

thf(func_def_4,type,
    set_Pr1173424071_b_nat: $tType ).

thf(func_def_5,type,
    set_Pr1839611079term_b: $tType ).

thf(func_def_6,type,
    produc446386919_b_nat: $tType ).

thf(func_def_7,type,
    produc1116408039term_b: $tType ).

thf(func_def_8,type,
    set_Pr1987088711_a_nat: $tType ).

thf(func_def_9,type,
    set_Pr665622551at_nat: $tType ).

thf(func_def_10,type,
    produc1871334759_a_nat: $tType ).

thf(func_def_11,type,
    produc1391440311at_nat: $tType ).

thf(func_def_12,type,
    set_Pr551076371_b_nat: $tType ).

thf(func_def_13,type,
    set_Pr1647387645at_nat: $tType ).

thf(func_def_14,type,
    set_Pr1490359111at_nat: $tType ).

thf(func_def_15,type,
    set_Pr1163220871term_b: $tType ).

thf(func_def_16,type,
    set_Pr2041158302at_nat: $tType ).

thf(func_def_17,type,
    produc1235635379_b_nat: $tType ).

thf(func_def_18,type,
    produc842455143at_nat: $tType ).

thf(func_def_19,type,
    produc1478835367term_b: $tType ).

thf(func_def_20,type,
    set_la1083530965_a_nat: $tType ).

thf(func_def_21,type,
    labele935650037_a_nat: $tType ).

thf(func_def_22,type,
    labele1835409643at_nat: $tType ).

thf(func_def_23,type,
    set_Pr9961929at_nat: $tType ).

thf(func_def_24,type,
    allego510293162tant_a: $tType ).

thf(func_def_25,type,
    allego1565409692at_nat: $tType ).

thf(func_def_26,type,
    set_la1976028319_b_nat: $tType ).

thf(func_def_27,type,
    set_St761939237tant_a: $tType ).

thf(func_def_28,type,
    set_Pr1986765409at_nat: $tType ).

thf(func_def_29,type,
    set_al1193902458term_b: $tType ).

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

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

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

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

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

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

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

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

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

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

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

thf(func_def_41,type,
    finite_finite_nat: set_nat > $o ).

thf(func_def_42,type,
    finite1242387294at_nat: set_Pr1647387645at_nat > $o ).

thf(func_def_43,type,
    finite772653738at_nat: set_Pr1986765409at_nat > $o ).

thf(func_def_44,type,
    finite48957584at_nat: set_Pr1490359111at_nat > $o ).

thf(func_def_45,type,
    finite1987068434at_nat: set_Pr9961929at_nat > $o ).

thf(func_def_46,type,
    finite1015599120od_b_b: set_Product_prod_b_b > $o ).

thf(func_def_47,type,
    finite_finite_b: set_b > $o ).

thf(func_def_48,type,
    allego745587551tant_a: allego510293162tant_a > allego510293162tant_a > allego510293162tant_a ).

thf(func_def_49,type,
    allego266765201at_nat: allego1565409692at_nat > allego1565409692at_nat > allego1565409692at_nat ).

thf(func_def_50,type,
    allegorical_A_Int_b: allegorical_term_b > allegorical_term_b > allegorical_term_b ).

thf(func_def_51,type,
    semantics_b_nat: labeled_graph_b_nat > allegorical_term_b > set_Pr1986765409at_nat ).

thf(func_def_52,type,
    graph_2130075512at_nat: labele935650037_a_nat > labele935650037_a_nat > set_Pr1986765409at_nat > $o ).

thf(func_def_53,type,
    graph_2111906684at_nat: labele1835409643at_nat > labele1835409643at_nat > set_Pr1986765409at_nat > $o ).

thf(func_def_54,type,
    graph_529870330at_nat: labeled_graph_b_nat > labeled_graph_b_nat > set_Pr1986765409at_nat > $o ).

thf(func_def_55,type,
    graph_union_b_nat: labeled_graph_b_nat > labeled_graph_b_nat > labeled_graph_b_nat ).

thf(func_def_56,type,
    labeled_LG_b_nat: set_Pr9961929at_nat > set_nat > labeled_graph_b_nat ).

thf(func_def_57,type,
    labele195203296_a_nat: labele935650037_a_nat > set_Pr1647387645at_nat ).

thf(func_def_58,type,
    labele2032268018at_nat: labele1835409643at_nat > set_Pr1490359111at_nat ).

thf(func_def_59,type,
    labeled_edges_b_nat: labeled_graph_b_nat > set_Pr9961929at_nat ).

thf(func_def_60,type,
    labele1810595089_a_nat: labele935650037_a_nat > set_nat ).

thf(func_def_61,type,
    labele560327297at_nat: labele1835409643at_nat > set_nat ).

thf(func_def_62,type,
    labele460410879_b_nat: labeled_graph_b_nat > set_nat ).

thf(func_def_63,type,
    restri572569417_a_nat: labele935650037_a_nat > labele935650037_a_nat ).

thf(func_def_64,type,
    restri321299017at_nat: labele1835409643at_nat > labele1835409643at_nat ).

thf(func_def_65,type,
    restrict_b_nat: labeled_graph_b_nat > labeled_graph_b_nat ).

thf(func_def_66,type,
    unival1191217828term_b: set_Pr1163220871term_b > $o ).

thf(func_def_67,type,
    unival1637751524_a_nat: set_Pr1987088711_a_nat > $o ).

thf(func_def_68,type,
    unival857119480_b_nat: set_Pr551076371_b_nat > $o ).

thf(func_def_69,type,
    univalent_nat_nat: set_Pr1986765409at_nat > $o ).

thf(func_def_70,type,
    unival633212949at_nat: set_Pr2041158302at_nat > $o ).

thf(func_def_71,type,
    unival989235430at_nat: set_Pr9961929at_nat > $o ).

thf(func_def_72,type,
    bot_bo1024461546_nat_o: produc1871334759_a_nat > $o ).

thf(func_def_73,type,
    bot_bot_nat: nat ).

thf(func_def_74,type,
    bot_bot_set_nat: set_nat ).

thf(func_def_75,type,
    bot_bo1836341171_a_nat: set_Pr1987088711_a_nat ).

thf(func_def_76,type,
    bot_bo2130386637at_nat: set_Pr1986765409at_nat ).

thf(func_def_77,type,
    bot_bo1626616373at_nat: set_Pr9961929at_nat ).

thf(func_def_78,type,
    ord_less_eq_nat: nat > nat > $o ).

thf(func_def_79,type,
    ord_less_eq_set_nat: set_nat > set_nat > $o ).

thf(func_def_80,type,
    ord_le138473255term_b: set_Pr1163220871term_b > set_Pr1163220871term_b > $o ).

thf(func_def_81,type,
    ord_le1718765799_a_nat: set_Pr1987088711_a_nat > set_Pr1987088711_a_nat > $o ).

thf(func_def_82,type,
    ord_le13035955_b_nat: set_Pr551076371_b_nat > set_Pr551076371_b_nat > $o ).

thf(func_def_83,type,
    ord_le841296385at_nat: set_Pr1986765409at_nat > set_Pr1986765409at_nat > $o ).

thf(func_def_84,type,
    ord_le910748009at_nat: set_Pr9961929at_nat > set_Pr9961929at_nat > $o ).

thf(func_def_85,type,
    produc1990145943term_b: allegorical_term_b > allegorical_term_b > produc1478835367term_b ).

thf(func_def_86,type,
    produc1676969687_a_nat: labele935650037_a_nat > labele935650037_a_nat > produc1871334759_a_nat ).

thf(func_def_87,type,
    produc590202991at_nat: labele1835409643at_nat > labele1835409643at_nat > produc1391440311at_nat ).

thf(func_def_88,type,
    produc951298923_b_nat: labeled_graph_b_nat > labeled_graph_b_nat > produc1235635379_b_nat ).

thf(func_def_89,type,
    product_Pair_nat_nat: nat > nat > product_prod_nat_nat ).

thf(func_def_90,type,
    produc859843415term_b: produc1478835367term_b > produc1478835367term_b > produc1116408039term_b ).

thf(func_def_91,type,
    produc1677124439_a_nat: produc1871334759_a_nat > produc1871334759_a_nat > produc398057191_a_nat ).

thf(func_def_92,type,
    produc1754969175_b_nat: produc1235635379_b_nat > produc1235635379_b_nat > produc446386919_b_nat ).

thf(func_def_93,type,
    produc1168807639at_nat: product_prod_nat_nat > product_prod_nat_nat > produc842455143at_nat ).

thf(func_def_94,type,
    produc170611543_a_nat: produc398057191_a_nat > produc398057191_a_nat > produc116665063_a_nat ).

thf(func_def_95,type,
    produc854192515term_b: produc1478835367term_b > allegorical_term_b ).

thf(func_def_96,type,
    produc719117507_a_nat: produc1871334759_a_nat > labele935650037_a_nat ).

thf(func_def_97,type,
    produc1995789403at_nat: produc1391440311at_nat > labele1835409643at_nat ).

thf(func_def_98,type,
    produc1542243159_b_nat: produc1235635379_b_nat > labeled_graph_b_nat ).

thf(func_def_99,type,
    product_fst_nat_nat: product_prod_nat_nat > nat ).

thf(func_def_100,type,
    produc1049080131_a_nat: produc398057191_a_nat > produc1871334759_a_nat ).

thf(func_def_101,type,
    produc1223098053term_b: produc1478835367term_b > allegorical_term_b ).

thf(func_def_102,type,
    produc880161797_a_nat: produc1871334759_a_nat > labele935650037_a_nat ).

thf(func_def_103,type,
    produc1564126365at_nat: produc1391440311at_nat > labele1835409643at_nat ).

thf(func_def_104,type,
    produc194497945_b_nat: produc1235635379_b_nat > labeled_graph_b_nat ).

thf(func_def_105,type,
    product_snd_nat_nat: product_prod_nat_nat > nat ).

thf(func_def_106,type,
    produc1022852229_a_nat: produc398057191_a_nat > produc1871334759_a_nat ).

thf(func_def_107,type,
    domain859272460term_b: set_Pr1163220871term_b > set_al1193902458term_b ).

thf(func_def_108,type,
    domain1068567884_a_nat: set_Pr1987088711_a_nat > set_la1083530965_a_nat ).

thf(func_def_109,type,
    domain767519072_b_nat: set_Pr551076371_b_nat > set_la1976028319_b_nat ).

thf(func_def_110,type,
    domain_nat_nat: set_Pr1986765409at_nat > set_nat ).

thf(func_def_111,type,
    domain1101989710at_nat: set_Pr9961929at_nat > set_b ).

thf(func_def_112,type,
    id_on_1536886967term_b: set_al1193902458term_b > set_Pr1163220871term_b ).

thf(func_def_113,type,
    id_on_689842066_a_nat: set_la1083530965_a_nat > set_Pr1987088711_a_nat ).

thf(func_def_114,type,
    id_on_583275916_b_nat: set_la1976028319_b_nat > set_Pr551076371_b_nat ).

thf(func_def_115,type,
    id_on_nat: set_nat > set_Pr1986765409at_nat ).

thf(func_def_116,type,
    id_on_1664915780term_b: set_Pr1163220871term_b > set_Pr1839611079term_b ).

thf(func_def_117,type,
    id_on_1651096324_a_nat: set_Pr1987088711_a_nat > set_Pr924198087_a_nat ).

thf(func_def_118,type,
    id_on_138931664_b_nat: set_Pr551076371_b_nat > set_Pr1173424071_b_nat ).

thf(func_def_119,type,
    id_on_2144791838at_nat: set_Pr1986765409at_nat > set_Pr1490359111at_nat ).

thf(func_def_120,type,
    id_on_1395957380_a_nat: set_Pr924198087_a_nat > set_Pr2123625671_a_nat ).

thf(func_def_121,type,
    image_329221075term_b: set_Pr1163220871term_b > set_al1193902458term_b > set_al1193902458term_b ).

thf(func_def_122,type,
    image_1971191571_a_nat: set_Pr1987088711_a_nat > set_la1083530965_a_nat > set_la1083530965_a_nat ).

thf(func_def_123,type,
    image_1183964583_b_nat: set_Pr551076371_b_nat > set_la1976028319_b_nat > set_la1976028319_b_nat ).

thf(func_def_124,type,
    image_nat_nat: set_Pr1986765409at_nat > set_nat > set_nat ).

thf(func_def_125,type,
    image_1168831379_a_nat: set_Pr924198087_a_nat > set_Pr1987088711_a_nat > set_Pr1987088711_a_nat ).

thf(func_def_126,type,
    image_1356842150at_nat: set_Pr2041158302at_nat > set_Pr9961929at_nat > set_nat ).

thf(func_def_127,type,
    image_2112855445at_nat: set_Pr9961929at_nat > set_b > set_Pr1986765409at_nat ).

thf(func_def_128,type,
    relcom1955155673term_b: set_Pr1163220871term_b > set_Pr1163220871term_b > set_Pr1163220871term_b ).

thf(func_def_129,type,
    relcom1338300020_a_nat: set_Pr1987088711_a_nat > set_Pr1987088711_a_nat > set_Pr1987088711_a_nat ).

thf(func_def_130,type,
    relcom1426860350_b_nat: set_Pr551076371_b_nat > set_Pr551076371_b_nat > set_Pr551076371_b_nat ).

thf(func_def_131,type,
    relcomp_nat_nat_nat: set_Pr1986765409at_nat > set_Pr1986765409at_nat > set_Pr1986765409at_nat ).

thf(func_def_132,type,
    relcom195261566at_nat: set_Pr9961929at_nat > set_Pr1490359111at_nat > set_Pr9961929at_nat ).

thf(func_def_133,type,
    relcom14055552at_nat: set_Product_prod_b_b > set_Pr9961929at_nat > set_Pr9961929at_nat ).

thf(func_def_134,type,
    inv_translation: set_nat > $o ).

thf(func_def_135,type,
    transl1275713022tant_a: allego510293162tant_a > labele935650037_a_nat ).

thf(func_def_136,type,
    transl490985778at_nat: allego1565409692at_nat > labele1835409643at_nat ).

thf(func_def_137,type,
    translation_b: allegorical_term_b > labeled_graph_b_nat ).

thf(func_def_138,type,
    agree_on_b_nat_nat: labeled_graph_b_nat > set_Pr1986765409at_nat > set_Pr1986765409at_nat > $o ).

thf(func_def_139,type,
    chain_b_nat: ( nat > labeled_graph_b_nat ) > $o ).

thf(func_def_140,type,
    chain_sup_b_nat: ( nat > labeled_graph_b_nat ) > labeled_graph_b_nat ).

thf(func_def_141,type,
    conseq1730780375at_nat: set_Pr551076371_b_nat > labeled_graph_b_nat > $o ).

thf(func_def_142,type,
    extensible_b_nat_nat: produc1235635379_b_nat > labeled_graph_b_nat > set_Pr1986765409at_nat > $o ).

thf(func_def_143,type,
    fair_chain_b_nat_nat: set_Pr551076371_b_nat > ( nat > labeled_graph_b_nat ) > $o ).

thf(func_def_144,type,
    fin_ma971967913at_nat: produc1235635379_b_nat > labeled_graph_b_nat > $o ).

thf(func_def_145,type,
    maintained_b_nat_nat: produc1235635379_b_nat > labeled_graph_b_nat > $o ).

thf(func_def_146,type,
    set_of1384085797_a_nat: set_Pr1987088711_a_nat > $o ).

thf(func_def_147,type,
    set_of195930477at_nat: set_Pr665622551at_nat > $o ).

thf(func_def_148,type,
    set_of41538795_b_nat: set_Pr551076371_b_nat > $o ).

thf(func_def_149,type,
    weak_u2026406106at_nat: itself_nat > produc1235635379_b_nat > labeled_graph_b_nat > labeled_graph_b_nat > set_Pr1986765409at_nat > set_Pr1986765409at_nat > $o ).

thf(func_def_150,type,
    collect_nat: ( nat > $o ) > set_nat ).

thf(func_def_151,type,
    collec135640594term_b: ( produc1478835367term_b > $o ) > set_Pr1163220871term_b ).

thf(func_def_152,type,
    collec357096914_a_nat: ( produc1871334759_a_nat > $o ) > set_Pr1987088711_a_nat ).

thf(func_def_153,type,
    collec1615000990_b_nat: ( produc1235635379_b_nat > $o ) > set_Pr551076371_b_nat ).

thf(func_def_154,type,
    collec7649004at_nat: ( product_prod_nat_nat > $o ) > set_Pr1986765409at_nat ).

thf(func_def_155,type,
    collec1701899602_a_nat: ( produc398057191_a_nat > $o ) > set_Pr924198087_a_nat ).

thf(func_def_156,type,
    standa1897115818ules_a: set_a > set_Pr1987088711_a_nat ).

thf(func_def_157,type,
    standa1568205540ules_a: set_St761939237tant_a > set_Pr1987088711_a_nat ).

thf(func_def_158,type,
    standa1410829644tant_a: produc1871334759_a_nat ).

thf(func_def_159,type,
    standa214789732at_nat: produc1391440311at_nat ).

thf(func_def_160,type,
    standa879863266rule_b: produc1235635379_b_nat ).

thf(func_def_161,type,
    standa63370785tant_a: standard_Constant_a > produc1871334759_a_nat ).

thf(func_def_162,type,
    standa2131591247at_nat: product_prod_nat_nat > produc1391440311at_nat ).

thf(func_def_163,type,
    standa1329480013rule_b: b > produc1235635379_b_nat ).

thf(func_def_164,type,
    standa305748545tant_a: standard_Constant_a > produc1871334759_a_nat ).

thf(func_def_165,type,
    standa153097263at_nat: product_prod_nat_nat > produc1391440311at_nat ).

thf(func_def_166,type,
    standa1360217389rule_b: b > produc1235635379_b_nat ).

thf(func_def_167,type,
    member93680451term_b: allegorical_term_b > set_al1193902458term_b > $o ).

thf(func_def_168,type,
    member964390942_a_nat: labele935650037_a_nat > set_la1083530965_a_nat > $o ).

thf(func_def_169,type,
    member1483953152_b_nat: labeled_graph_b_nat > set_la1976028319_b_nat > $o ).

thf(func_def_170,type,
    member_nat: nat > set_nat > $o ).

thf(func_def_171,type,
    member516522448term_b: produc1478835367term_b > set_Pr1163220871term_b > $o ).

thf(func_def_172,type,
    member832397200_a_nat: produc1871334759_a_nat > set_Pr1987088711_a_nat > $o ).

thf(func_def_173,type,
    member1129678944at_nat: produc1391440311at_nat > set_Pr665622551at_nat > $o ).

thf(func_def_174,type,
    member963855452_b_nat: produc1235635379_b_nat > set_Pr551076371_b_nat > $o ).

thf(func_def_175,type,
    member701585322at_nat: product_prod_nat_nat > set_Pr1986765409at_nat > $o ).

thf(func_def_176,type,
    member1449757456term_b: produc1116408039term_b > set_Pr1839611079term_b > $o ).

thf(func_def_177,type,
    member584645392_a_nat: produc398057191_a_nat > set_Pr924198087_a_nat > $o ).

thf(func_def_178,type,
    member889223696_b_nat: produc446386919_b_nat > set_Pr1173424071_b_nat > $o ).

thf(func_def_179,type,
    member2027625872at_nat: produc842455143at_nat > set_Pr1490359111at_nat > $o ).

thf(func_def_180,type,
    member829905680_a_nat: produc116665063_a_nat > set_Pr2123625671_a_nat > $o ).

thf(func_def_181,type,
    c: set_a ).

thf(func_def_182,type,
    u: allegorical_term_b ).

thf(func_def_183,type,
    v: allegorical_term_b ).

thf(func_def_184,type,
    x: produc1871334759_a_nat ).

thf(func_def_201,type,
    sK0: ( labeled_graph_b_nat > labeled_graph_b_nat > $o ) > labeled_graph_b_nat ).

thf(func_def_202,type,
    sK1: ( labeled_graph_b_nat > labeled_graph_b_nat > $o ) > labeled_graph_b_nat ).

thf(func_def_203,type,
    sK2: produc1478835367term_b > allegorical_term_b ).

thf(func_def_204,type,
    sK3: produc1478835367term_b > allegorical_term_b ).

thf(func_def_205,type,
    sK4: ( produc1478835367term_b > $o ) > allegorical_term_b ).

thf(func_def_206,type,
    sK5: ( produc1478835367term_b > $o ) > allegorical_term_b ).

thf(func_def_207,type,
    sK6: ( produc1478835367term_b > $o ) > allegorical_term_b ).

thf(func_def_208,type,
    sK7: ( produc1478835367term_b > $o ) > allegorical_term_b ).

thf(func_def_209,type,
    sK8: ( produc1235635379_b_nat > $o ) > labeled_graph_b_nat ).

thf(func_def_210,type,
    sK9: ( produc1235635379_b_nat > $o ) > labeled_graph_b_nat ).

thf(func_def_211,type,
    sK10: allegorical_term_b > produc1478835367term_b > allegorical_term_b ).

thf(func_def_212,type,
    sK11: produc1235635379_b_nat > labeled_graph_b_nat > labeled_graph_b_nat ).

thf(func_def_213,type,
    sK12: produc1235635379_b_nat > labeled_graph_b_nat ).

thf(func_def_214,type,
    sK13: produc1235635379_b_nat > labeled_graph_b_nat ).

thf(func_def_215,type,
    sK14: ( produc1235635379_b_nat > $o ) > labeled_graph_b_nat ).

thf(func_def_216,type,
    sK15: ( produc1235635379_b_nat > $o ) > labeled_graph_b_nat ).

thf(func_def_217,type,
    sK16: ( allegorical_term_b > allegorical_term_b > $o ) > allegorical_term_b ).

thf(func_def_218,type,
    sK17: ( allegorical_term_b > allegorical_term_b > $o ) > allegorical_term_b ).

thf(func_def_219,type,
    sK18: produc1235635379_b_nat > labeled_graph_b_nat ).

thf(func_def_220,type,
    sK19: produc1235635379_b_nat > labeled_graph_b_nat ).

thf(func_def_221,type,
    sK20: produc1478835367term_b > allegorical_term_b ).

thf(func_def_222,type,
    sK21: produc1478835367term_b > allegorical_term_b ).

thf(func_def_223,type,
    sK22: labeled_graph_b_nat > produc1235635379_b_nat > labeled_graph_b_nat ).

thf(func_def_224,type,
    sK23: allegorical_term_b > produc1478835367term_b > allegorical_term_b ).

thf(f1186,plain,
    $false,
    inference(subsumption_resolution,[],[f1185,f1169]) ).

thf(f1169,plain,
    ! [X0: allegorical_term_b,X1: allegorical_term_b] :
      ( $true
      = ( graph_529870330at_nat @ ( translation_b @ X0 ) @ ( translation_b @ ( allegorical_A_Int_b @ X0 @ X1 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( translation_b @ X0 ) ) ) ) ),
    inference(backward_demodulation,[],[f1155,f1131]) ).

thf(f1131,plain,
    ! [X2: labeled_graph_b_nat,X0: labeled_graph_b_nat] :
      ( ( produc1542243159_b_nat @ ( produc951298923_b_nat @ X0 @ X2 ) )
      = X0 ),
    inference(equality_resolution,[],[f1064]) ).

thf(f1064,plain,
    ! [X2: labeled_graph_b_nat,X0: labeled_graph_b_nat,X1: produc1235635379_b_nat] :
      ( ( ( produc1542243159_b_nat @ X1 )
        = X0 )
      | ( ( produc951298923_b_nat @ X0 @ X2 )
       != X1 ) ),
    inference(cnf_transformation,[],[f1001]) ).

thf(f1001,plain,
    ! [X0: labeled_graph_b_nat,X1: produc1235635379_b_nat] :
      ( ( ( ( produc1542243159_b_nat @ X1 )
          = X0 )
        | ! [X2: labeled_graph_b_nat] :
            ( ( produc951298923_b_nat @ X0 @ X2 )
           != X1 ) )
      & ( ( ( produc951298923_b_nat @ X0 @ ( sK11 @ X1 @ X0 ) )
          = X1 )
        | ( ( produc1542243159_b_nat @ X1 )
         != X0 ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f999,f1000]) ).

thf(f1000,plain,
    ! [X0: labeled_graph_b_nat,X1: produc1235635379_b_nat] :
      ( ? [X3: labeled_graph_b_nat] :
          ( ( produc951298923_b_nat @ X0 @ X3 )
          = X1 )
     => ( ( produc951298923_b_nat @ X0 @ ( sK11 @ X1 @ X0 ) )
        = X1 ) ),
    introduced(choice_axiom,[]) ).

thf(f999,plain,
    ! [X0: labeled_graph_b_nat,X1: produc1235635379_b_nat] :
      ( ( ( ( produc1542243159_b_nat @ X1 )
          = X0 )
        | ! [X2: labeled_graph_b_nat] :
            ( ( produc951298923_b_nat @ X0 @ X2 )
           != X1 ) )
      & ( ? [X3: labeled_graph_b_nat] :
            ( ( produc951298923_b_nat @ X0 @ X3 )
            = X1 )
        | ( ( produc1542243159_b_nat @ X1 )
         != X0 ) ) ),
    inference(rectify,[],[f998]) ).

thf(f998,plain,
    ! [X0: labeled_graph_b_nat,X1: produc1235635379_b_nat] :
      ( ( ( ( produc1542243159_b_nat @ X1 )
          = X0 )
        | ! [X2: labeled_graph_b_nat] :
            ( ( produc951298923_b_nat @ X0 @ X2 )
           != X1 ) )
      & ( ? [X2: labeled_graph_b_nat] :
            ( ( produc951298923_b_nat @ X0 @ X2 )
            = X1 )
        | ( ( produc1542243159_b_nat @ X1 )
         != X0 ) ) ),
    inference(nnf_transformation,[],[f744]) ).

thf(f744,plain,
    ! [X0: labeled_graph_b_nat,X1: produc1235635379_b_nat] :
      ( ( ( produc1542243159_b_nat @ X1 )
        = X0 )
    <=> ? [X2: labeled_graph_b_nat] :
          ( ( produc951298923_b_nat @ X0 @ X2 )
          = X1 ) ),
    inference(fool_elimination,[],[f743]) ).

thf(f743,plain,
    ! [X0: labeled_graph_b_nat,X1: produc1235635379_b_nat] :
      ( ( ( produc1542243159_b_nat @ X1 )
        = X0 )
      = ( ? [X2: labeled_graph_b_nat] :
            ( ( produc951298923_b_nat @ X0 @ X2 )
            = X1 ) ) ),
    inference(rectify,[],[f203]) ).

thf(f203,axiom,
    ! [X3: labeled_graph_b_nat,X21: produc1235635379_b_nat] :
      ( ( ( produc1542243159_b_nat @ X21 )
        = X3 )
      = ( ? [X72: labeled_graph_b_nat] :
            ( ( produc951298923_b_nat @ X3 @ X72 )
            = X21 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_202_eq__fst__iff) ).

thf(f1155,plain,
    ! [X0: allegorical_term_b,X1: allegorical_term_b] :
      ( ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X0 ) @ ( translation_b @ ( allegorical_A_Int_b @ X0 @ X1 ) ) ) ) @ ( translation_b @ ( allegorical_A_Int_b @ X0 @ X1 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X0 ) @ ( translation_b @ ( allegorical_A_Int_b @ X0 @ X1 ) ) ) ) ) ) )
      = $true ),
    inference(forward_demodulation,[],[f1042,f1087]) ).

thf(f1087,plain,
    ! [X0: labeled_graph_b_nat,X1: labeled_graph_b_nat] :
      ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ X0 @ X1 ) )
      = X1 ),
    inference(cnf_transformation,[],[f935]) ).

thf(f935,plain,
    ! [X0: labeled_graph_b_nat,X1: labeled_graph_b_nat] :
      ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ X0 @ X1 ) )
      = X1 ),
    inference(rectify,[],[f87]) ).

thf(f87,axiom,
    ! [X11: labeled_graph_b_nat,X12: labeled_graph_b_nat] :
      ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ X11 @ X12 ) )
      = X12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_86_snd__conv) ).

thf(f1042,plain,
    ! [X0: allegorical_term_b,X1: allegorical_term_b] :
      ( ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X0 ) @ ( translation_b @ ( allegorical_A_Int_b @ X0 @ X1 ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X0 ) @ ( translation_b @ ( allegorical_A_Int_b @ X0 @ X1 ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X0 ) @ ( translation_b @ ( allegorical_A_Int_b @ X0 @ X1 ) ) ) ) ) ) )
      = $true ),
    inference(cnf_transformation,[],[f428]) ).

thf(f428,plain,
    ! [X0: allegorical_term_b,X1: allegorical_term_b] :
      ( ( ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X0 ) @ ( translation_b @ ( allegorical_A_Int_b @ X0 @ X1 ) ) ) ) ) )
        = $true )
      & ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X0 ) @ ( translation_b @ ( allegorical_A_Int_b @ X0 @ X1 ) ) ) )
        = ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X0 ) @ ( translation_b @ ( allegorical_A_Int_b @ X0 @ X1 ) ) ) ) ) )
      & ( ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X0 ) @ ( translation_b @ ( allegorical_A_Int_b @ X0 @ X1 ) ) ) ) ) )
        = $true )
      & ( ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X0 ) @ ( translation_b @ ( allegorical_A_Int_b @ X0 @ X1 ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X0 ) @ ( translation_b @ ( allegorical_A_Int_b @ X0 @ X1 ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X0 ) @ ( translation_b @ ( allegorical_A_Int_b @ X0 @ X1 ) ) ) ) ) ) )
        = $true ) ),
    inference(fool_elimination,[],[f427]) ).

thf(f427,plain,
    ! [X0: allegorical_term_b,X1: allegorical_term_b] :
      ( ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X0 ) @ ( translation_b @ ( allegorical_A_Int_b @ X0 @ X1 ) ) ) )
        = ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X0 ) @ ( translation_b @ ( allegorical_A_Int_b @ X0 @ X1 ) ) ) ) ) )
      & ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X0 ) @ ( translation_b @ ( allegorical_A_Int_b @ X0 @ X1 ) ) ) ) ) )
      & ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X0 ) @ ( translation_b @ ( allegorical_A_Int_b @ X0 @ X1 ) ) ) ) ) )
      & ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X0 ) @ ( translation_b @ ( allegorical_A_Int_b @ X0 @ X1 ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X0 ) @ ( translation_b @ ( allegorical_A_Int_b @ X0 @ X1 ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X0 ) @ ( translation_b @ ( allegorical_A_Int_b @ X0 @ X1 ) ) ) ) ) ) ) ),
    inference(rectify,[],[f4]) ).

thf(f4,axiom,
    ! [X0: allegorical_term_b,X1: allegorical_term_b] :
      ( ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X0 ) @ ( translation_b @ ( allegorical_A_Int_b @ X0 @ X1 ) ) ) )
        = ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X0 ) @ ( translation_b @ ( allegorical_A_Int_b @ X0 @ X1 ) ) ) ) ) )
      & ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X0 ) @ ( translation_b @ ( allegorical_A_Int_b @ X0 @ X1 ) ) ) ) ) )
      & ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X0 ) @ ( translation_b @ ( allegorical_A_Int_b @ X0 @ X1 ) ) ) ) ) )
      & ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X0 ) @ ( translation_b @ ( allegorical_A_Int_b @ X0 @ X1 ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X0 ) @ ( translation_b @ ( allegorical_A_Int_b @ X0 @ X1 ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X0 ) @ ( translation_b @ ( allegorical_A_Int_b @ X0 @ X1 ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_graph__rule__translation) ).

thf(f1185,plain,
    ( $true
   != ( graph_529870330at_nat @ ( translation_b @ u ) @ ( translation_b @ ( allegorical_A_Int_b @ u @ v ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( translation_b @ u ) ) ) ) ),
    inference(forward_demodulation,[],[f1184,f1140]) ).

thf(f1140,plain,
    ! [X2: allegorical_term_b,X0: allegorical_term_b] :
      ( ( produc1223098053term_b @ ( produc1990145943term_b @ X0 @ X2 ) )
      = X2 ),
    inference(equality_resolution,[],[f1100]) ).

thf(f1100,plain,
    ! [X2: allegorical_term_b,X0: allegorical_term_b,X1: produc1478835367term_b] :
      ( ( ( produc1990145943term_b @ X0 @ X2 )
       != X1 )
      | ( ( produc1223098053term_b @ X1 )
        = X2 ) ),
    inference(cnf_transformation,[],[f946]) ).

thf(f946,plain,
    ! [X0: allegorical_term_b,X1: produc1478835367term_b,X2: allegorical_term_b] :
      ( ( ( produc1990145943term_b @ X0 @ X2 )
       != X1 )
      | ( ( produc1223098053term_b @ X1 )
        = X2 ) ),
    inference(ennf_transformation,[],[f928]) ).

thf(f928,plain,
    ! [X0: allegorical_term_b,X1: produc1478835367term_b,X2: allegorical_term_b] :
      ( ( ( produc1990145943term_b @ X0 @ X2 )
        = X1 )
     => ( ( produc1223098053term_b @ X1 )
        = X2 ) ),
    inference(rectify,[],[f181]) ).

thf(f181,axiom,
    ! [X19: allegorical_term_b,X15: produc1478835367term_b,X58: allegorical_term_b] :
      ( ( ( produc1990145943term_b @ X19 @ X58 )
        = X15 )
     => ( ( produc1223098053term_b @ X15 )
        = X58 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_180_sndI) ).

thf(f1184,plain,
    ( ( graph_529870330at_nat @ ( translation_b @ u ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( translation_b @ u ) ) ) )
   != $true ),
    inference(subsumption_resolution,[],[f1183,f1157]) ).

thf(f1157,plain,
    ! [X0: allegorical_term_b,X1: allegorical_term_b] :
      ( ( translation_b @ ( allegorical_A_Int_b @ X0 @ X1 ) )
      = ( restrict_b_nat @ ( translation_b @ ( allegorical_A_Int_b @ X0 @ X1 ) ) ) ),
    inference(forward_demodulation,[],[f1044,f1087]) ).

thf(f1044,plain,
    ! [X0: allegorical_term_b,X1: allegorical_term_b] :
      ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X0 ) @ ( translation_b @ ( allegorical_A_Int_b @ X0 @ X1 ) ) ) )
      = ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X0 ) @ ( translation_b @ ( allegorical_A_Int_b @ X0 @ X1 ) ) ) ) ) ),
    inference(cnf_transformation,[],[f428]) ).

thf(f1183,plain,
    ( ( ( translation_b @ ( allegorical_A_Int_b @ u @ v ) )
     != ( restrict_b_nat @ ( translation_b @ ( allegorical_A_Int_b @ u @ v ) ) ) )
    | ( ( graph_529870330at_nat @ ( translation_b @ u ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( translation_b @ u ) ) ) )
     != $true ) ),
    inference(forward_demodulation,[],[f1182,f1140]) ).

thf(f1182,plain,
    ( ( ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) )
     != ( restrict_b_nat @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) )
    | ( ( graph_529870330at_nat @ ( translation_b @ u ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( translation_b @ u ) ) ) )
     != $true ) ),
    inference(forward_demodulation,[],[f1181,f1087]) ).

thf(f1181,plain,
    ( ( ( graph_529870330at_nat @ ( translation_b @ u ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ u ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( translation_b @ u ) ) ) )
     != $true )
    | ( ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) )
     != ( restrict_b_nat @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ),
    inference(forward_demodulation,[],[f1180,f1059]) ).

thf(f1059,plain,
    ! [X0: allegorical_term_b,X1: allegorical_term_b] :
      ( ( produc854192515term_b @ ( produc1990145943term_b @ X0 @ X1 ) )
      = X0 ),
    inference(cnf_transformation,[],[f916]) ).

thf(f916,plain,
    ! [X0: allegorical_term_b,X1: allegorical_term_b] :
      ( ( produc854192515term_b @ ( produc1990145943term_b @ X0 @ X1 ) )
      = X0 ),
    inference(rectify,[],[f77]) ).

thf(f77,axiom,
    ! [X11: allegorical_term_b,X12: allegorical_term_b] :
      ( ( produc854192515term_b @ ( produc1990145943term_b @ X11 @ X12 ) )
      = X11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_76_fst__conv) ).

thf(f1180,plain,
    ( ( ( graph_529870330at_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) )
     != $true )
    | ( ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) )
     != ( restrict_b_nat @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ),
    inference(subsumption_resolution,[],[f1179,f1081]) ).

thf(f1081,plain,
    ! [X0: allegorical_term_b] :
      ( ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( translation_b @ X0 ) ) )
      = $true ),
    inference(cnf_transformation,[],[f802]) ).

thf(f802,plain,
    ! [X0: allegorical_term_b] :
      ( ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( translation_b @ X0 ) ) )
      = $true ),
    inference(fool_elimination,[],[f801]) ).

thf(f801,plain,
    ! [X0: allegorical_term_b] : ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( translation_b @ X0 ) ) ),
    inference(rectify,[],[f13]) ).

thf(f13,axiom,
    ! [X0: allegorical_term_b] : ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( translation_b @ X0 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_12_verts__in__translation__finite_I2_J) ).

thf(f1179,plain,
    ( ( ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) )
     != ( restrict_b_nat @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) )
    | ( ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) )
     != $true )
    | ( ( graph_529870330at_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) )
     != $true ) ),
    inference(forward_demodulation,[],[f1178,f1087]) ).

thf(f1178,plain,
    ( ( ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) )
     != $true )
    | ( ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) )
     != ( restrict_b_nat @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) )
    | ( ( graph_529870330at_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) )
     != $true ) ),
    inference(subsumption_resolution,[],[f1177,f1055]) ).

thf(f1055,plain,
    ! [X0: allegorical_term_b] :
      ( ( finite_finite_nat @ ( labele460410879_b_nat @ ( translation_b @ X0 ) ) )
      = $true ),
    inference(cnf_transformation,[],[f726]) ).

thf(f726,plain,
    ! [X0: allegorical_term_b] :
      ( ( finite_finite_nat @ ( labele460410879_b_nat @ ( translation_b @ X0 ) ) )
      = $true ),
    inference(fool_elimination,[],[f725]) ).

thf(f725,plain,
    ! [X0: allegorical_term_b] : ( finite_finite_nat @ ( labele460410879_b_nat @ ( translation_b @ X0 ) ) ),
    inference(rectify,[],[f21]) ).

thf(f21,axiom,
    ! [X0: allegorical_term_b] : ( finite_finite_nat @ ( labele460410879_b_nat @ ( translation_b @ X0 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_20_verts__in__translation__finite_I1_J) ).

thf(f1177,plain,
    ( ( ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) )
     != ( restrict_b_nat @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) )
    | ( ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) )
     != $true )
    | ( ( graph_529870330at_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) )
     != $true )
    | ( ( finite_finite_nat @ ( labele460410879_b_nat @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) )
     != $true ) ),
    inference(forward_demodulation,[],[f1176,f1087]) ).

thf(f1176,plain,
    ( ( ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) )
     != $true )
    | ( ( graph_529870330at_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) )
     != $true )
    | ( ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) )
     != $true )
    | ( ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) )
     != ( restrict_b_nat @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ),
    inference(forward_demodulation,[],[f1175,f1087]) ).

thf(f1175,plain,
    ( ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) )
     != ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) )
    | ( ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) )
     != $true )
    | ( ( graph_529870330at_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) )
     != $true )
    | ( ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) )
     != $true ) ),
    inference(forward_demodulation,[],[f1046,f1131]) ).

thf(f1046,plain,
    ( ( ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) ) )
     != $true )
    | ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) )
     != ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) )
    | ( ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) )
     != $true )
    | ( ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) )
     != $true ) ),
    inference(cnf_transformation,[],[f975]) ).

thf(f975,plain,
    ( ( ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) ) )
     != $true )
    | ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) )
     != ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) )
    | ( ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) )
     != $true )
    | ( ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) )
     != $true ) ),
    inference(ennf_transformation,[],[f680]) ).

thf(f680,plain,
    ~ ( ( ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) )
        = $true )
      & ( ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) ) )
        = $true )
      & ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) )
        = ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) )
      & ( ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) )
        = $true ) ),
    inference(fool_elimination,[],[f679]) ).

thf(f679,plain,
    ~ ( ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) )
        = ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) )
      & ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) )
      & ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) )
      & ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) ) ) ),
    inference(rectify,[],[f357]) ).

thf(f357,negated_conjecture,
    ~ ( ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) )
        = ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) )
      & ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) )
      & ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) )
      & ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) ) ) ),
    inference(negated_conjecture,[],[f356]) ).

thf(f356,conjecture,
    ( ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) )
      = ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) )
    & ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) )
    & ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) )
    & ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : ITP178^1 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36  % Computer : n006.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Sat May 18 18:23:08 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/sandbox2/benchmark/theBenchmark.p
% 0.21/0.41  % (31674)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  % (31671)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  % (31675)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  % (31670)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  % (31677)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  % (31673)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.41  % (31672)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  % (31676)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  % (31673)Instruction limit reached!
% 0.21/0.41  % (31673)------------------------------
% 0.21/0.41  % (31673)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41  % (31673)Termination reason: Unknown
% 0.21/0.41  % (31673)Termination phase: shuffling
% 0.21/0.41  % (31674)Instruction limit reached!
% 0.21/0.41  % (31674)------------------------------
% 0.21/0.41  % (31674)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41  % (31674)Termination reason: Unknown
% 0.21/0.41  % (31674)Termination phase: shuffling
% 0.21/0.41  
% 0.21/0.41  % (31674)Memory used [KB]: 1663
% 0.21/0.41  % (31674)Time elapsed: 0.004 s
% 0.21/0.41  % (31674)Instructions burned: 3 (million)
% 0.21/0.41  % (31674)------------------------------
% 0.21/0.41  % (31674)------------------------------
% 0.21/0.41  
% 0.21/0.41  % (31673)Memory used [KB]: 1535
% 0.21/0.41  % (31673)Time elapsed: 0.003 s
% 0.21/0.41  % (31673)Instructions burned: 2 (million)
% 0.21/0.41  % (31673)------------------------------
% 0.21/0.41  % (31673)------------------------------
% 0.21/0.41  % (31671)Instruction limit reached!
% 0.21/0.41  % (31671)------------------------------
% 0.21/0.41  % (31671)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41  % (31677)Instruction limit reached!
% 0.21/0.41  % (31677)------------------------------
% 0.21/0.41  % (31677)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41  % (31671)Termination reason: Unknown
% 0.21/0.41  % (31671)Termination phase: shuffling
% 0.21/0.41  
% 0.21/0.41  % (31671)Memory used [KB]: 1663
% 0.21/0.41  % (31671)Time elapsed: 0.004 s
% 0.21/0.41  % (31671)Instructions burned: 5 (million)
% 0.21/0.41  % (31671)------------------------------
% 0.21/0.41  % (31671)------------------------------
% 0.21/0.41  % (31677)Termination reason: Unknown
% 0.21/0.41  % (31677)Termination phase: shuffling
% 0.21/0.41  
% 0.21/0.41  % (31677)Memory used [KB]: 1663
% 0.21/0.41  % (31677)Time elapsed: 0.004 s
% 0.21/0.41  % (31677)Instructions burned: 4 (million)
% 0.21/0.41  % (31677)------------------------------
% 0.21/0.41  % (31677)------------------------------
% 0.21/0.42  % (31676)Instruction limit reached!
% 0.21/0.42  % (31676)------------------------------
% 0.21/0.42  % (31676)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42  % (31676)Termination reason: Unknown
% 0.21/0.42  % (31676)Termination phase: shuffling
% 0.21/0.42  
% 0.21/0.42  % (31676)Memory used [KB]: 1918
% 0.21/0.42  % (31676)Time elapsed: 0.013 s
% 0.21/0.42  % (31676)Instructions burned: 19 (million)
% 0.21/0.42  % (31676)------------------------------
% 0.21/0.42  % (31676)------------------------------
% 0.21/0.43  % (31672)Instruction limit reached!
% 0.21/0.43  % (31672)------------------------------
% 0.21/0.43  % (31672)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43  % (31672)Termination reason: Unknown
% 0.21/0.43  % (31672)Termination phase: shuffling
% 0.21/0.43  
% 0.21/0.43  % (31672)Memory used [KB]: 2174
% 0.21/0.43  % (31672)Time elapsed: 0.018 s
% 0.21/0.43  % (31672)Instructions burned: 27 (million)
% 0.21/0.43  % (31672)------------------------------
% 0.21/0.43  % (31672)------------------------------
% 0.21/0.43  % (31681)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  % (31680)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  % (31678)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)
% 0.21/0.43  % (31679)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  % (31680)Instruction limit reached!
% 0.21/0.43  % (31680)------------------------------
% 0.21/0.43  % (31680)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43  % (31680)Termination reason: Unknown
% 0.21/0.43  % (31680)Termination phase: shuffling
% 0.21/0.43  
% 0.21/0.43  % (31680)Memory used [KB]: 1663
% 0.21/0.43  % (31680)Time elapsed: 0.004 s
% 0.21/0.43  % (31680)Instructions burned: 3 (million)
% 0.21/0.43  % (31680)------------------------------
% 0.21/0.43  % (31680)------------------------------
% 0.21/0.44  % (31679)Instruction limit reached!
% 0.21/0.44  % (31679)------------------------------
% 0.21/0.44  % (31679)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44  % (31679)Termination reason: Unknown
% 0.21/0.44  % (31679)Termination phase: shuffling
% 0.21/0.44  
% 0.21/0.44  % (31679)Memory used [KB]: 1791
% 0.21/0.44  % (31679)Time elapsed: 0.011 s
% 0.21/0.44  % (31679)Instructions burned: 16 (million)
% 0.21/0.44  % (31679)------------------------------
% 0.21/0.44  % (31679)------------------------------
% 0.21/0.44  % (31682)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.44  % (31683)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  % (31682)Instruction limit reached!
% 0.21/0.44  % (31682)------------------------------
% 0.21/0.44  % (31682)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44  % (31682)Termination reason: Unknown
% 0.21/0.44  % (31682)Termination phase: shuffling
% 0.21/0.44  
% 0.21/0.44  % (31682)Memory used [KB]: 1663
% 0.21/0.44  % (31682)Time elapsed: 0.007 s
% 0.21/0.44  % (31682)Instructions burned: 8 (million)
% 0.21/0.44  % (31682)------------------------------
% 0.21/0.44  % (31682)------------------------------
% 0.21/0.44  % (31684)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  % (31684)Instruction limit reached!
% 0.21/0.45  % (31684)------------------------------
% 0.21/0.45  % (31684)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45  % (31684)Termination reason: Unknown
% 0.21/0.45  % (31684)Termination phase: shuffling
% 0.21/0.45  
% 0.21/0.45  % (31684)Memory used [KB]: 1663
% 0.21/0.45  % (31684)Time elapsed: 0.004 s
% 0.21/0.45  % (31684)Instructions burned: 4 (million)
% 0.21/0.45  % (31684)------------------------------
% 0.21/0.45  % (31684)------------------------------
% 0.21/0.45  % (31678)Instruction limit reached!
% 0.21/0.45  % (31678)------------------------------
% 0.21/0.45  % (31678)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45  % (31678)Termination reason: Unknown
% 0.21/0.45  % (31678)Termination phase: shuffling
% 0.21/0.45  
% 0.21/0.45  % (31678)Memory used [KB]: 2302
% 0.21/0.45  % (31678)Time elapsed: 0.022 s
% 0.21/0.45  % (31678)Instructions burned: 37 (million)
% 0.21/0.45  % (31678)------------------------------
% 0.21/0.45  % (31678)------------------------------
% 0.21/0.45  % (31683)Instruction limit reached!
% 0.21/0.45  % (31683)------------------------------
% 0.21/0.45  % (31683)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45  % (31683)Termination reason: Unknown
% 0.21/0.45  % (31683)Termination phase: shuffling
% 0.21/0.45  
% 0.21/0.45  % (31683)Memory used [KB]: 1791
% 0.21/0.45  % (31683)Time elapsed: 0.012 s
% 0.21/0.45  % (31683)Instructions burned: 16 (million)
% 0.21/0.45  % (31683)------------------------------
% 0.21/0.45  % (31683)------------------------------
% 0.21/0.45  % (31685)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  % (31675)Refutation not found, incomplete strategy
% 0.21/0.45  % (31675)------------------------------
% 0.21/0.45  % (31675)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45  % (31675)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.45  
% 0.21/0.45  
% 0.21/0.45  % (31675)Memory used [KB]: 7036
% 0.21/0.45  % (31675)Time elapsed: 0.046 s
% 0.21/0.45  % (31675)Instructions burned: 77 (million)
% 0.21/0.45  % (31675)------------------------------
% 0.21/0.45  % (31675)------------------------------
% 0.21/0.45  % (31685)Instruction limit reached!
% 0.21/0.45  % (31685)------------------------------
% 0.21/0.45  % (31685)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45  % (31685)Termination reason: Unknown
% 0.21/0.45  % (31685)Termination phase: shuffling
% 0.21/0.45  
% 0.21/0.45  % (31685)Memory used [KB]: 1663
% 0.21/0.45  % (31685)Time elapsed: 0.005 s
% 0.21/0.45  % (31685)Instructions burned: 4 (million)
% 0.21/0.45  % (31685)------------------------------
% 0.21/0.45  % (31685)------------------------------
% 0.21/0.46  % (31687)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)
% 0.21/0.46  % (31688)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  % (31689)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  % (31688)Instruction limit reached!
% 0.21/0.46  % (31688)------------------------------
% 0.21/0.46  % (31688)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46  % (31687)Instruction limit reached!
% 0.21/0.46  % (31687)------------------------------
% 0.21/0.46  % (31687)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46  % (31687)Termination reason: Unknown
% 0.21/0.46  % (31687)Termination phase: shuffling
% 0.21/0.46  
% 0.21/0.46  % (31687)Memory used [KB]: 1663
% 0.21/0.46  % (31687)Time elapsed: 0.007 s
% 0.21/0.46  % (31687)Instructions burned: 8 (million)
% 0.21/0.46  % (31687)------------------------------
% 0.21/0.46  % (31687)------------------------------
% 0.21/0.46  % (31688)Termination reason: Unknown
% 0.21/0.46  % (31688)Termination phase: shuffling
% 0.21/0.46  
% 0.21/0.46  % (31688)Memory used [KB]: 1663
% 0.21/0.46  % (31688)Time elapsed: 0.004 s
% 0.21/0.46  % (31688)Instructions burned: 3 (million)
% 0.21/0.46  % (31688)------------------------------
% 0.21/0.46  % (31688)------------------------------
% 0.21/0.47  % (31689)Instruction limit reached!
% 0.21/0.47  % (31689)------------------------------
% 0.21/0.47  % (31689)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47  % (31689)Termination reason: Unknown
% 0.21/0.47  % (31689)Termination phase: shuffling
% 0.21/0.47  
% 0.21/0.47  % (31689)Memory used [KB]: 1663
% 0.21/0.47  % (31689)Time elapsed: 0.005 s
% 0.21/0.47  % (31689)Instructions burned: 5 (million)
% 0.21/0.47  % (31689)------------------------------
% 0.21/0.47  % (31689)------------------------------
% 0.21/0.47  % (31690)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  % (31691)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  % (31692)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.47  % (31692)Instruction limit reached!
% 0.21/0.47  % (31692)------------------------------
% 0.21/0.47  % (31692)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47  % (31692)Termination reason: Unknown
% 0.21/0.47  % (31692)Termination phase: shuffling
% 0.21/0.47  
% 0.21/0.47  % (31692)Memory used [KB]: 1663
% 0.21/0.47  % (31692)Time elapsed: 0.006 s
% 0.21/0.47  % (31692)Instructions burned: 6 (million)
% 0.21/0.47  % (31692)------------------------------
% 0.21/0.47  % (31692)------------------------------
% 0.21/0.48  % (31693)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 (2998ds/902Mi)
% 0.21/0.48  % (31690)Instruction limit reached!
% 0.21/0.48  % (31690)------------------------------
% 0.21/0.48  % (31690)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.48  % (31690)Termination reason: Unknown
% 0.21/0.48  % (31690)Termination phase: shuffling
% 0.21/0.48  
% 0.21/0.48  % (31690)Memory used [KB]: 1918
% 0.21/0.48  % (31690)Time elapsed: 0.013 s
% 0.21/0.48  % (31694)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 (2998ds/21Mi)
% 0.21/0.48  % (31690)Instructions burned: 18 (million)
% 0.21/0.48  % (31690)------------------------------
% 0.21/0.48  % (31690)------------------------------
% 0.21/0.48  % (31695)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2998ds/5Mi)
% 0.21/0.48  % (31695)Instruction limit reached!
% 0.21/0.48  % (31695)------------------------------
% 0.21/0.48  % (31695)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.48  % (31695)Termination reason: Unknown
% 0.21/0.48  % (31695)Termination phase: shuffling
% 0.21/0.48  
% 0.21/0.48  % (31695)Memory used [KB]: 1663
% 0.21/0.48  % (31695)Time elapsed: 0.005 s
% 0.21/0.48  % (31695)Instructions burned: 5 (million)
% 0.21/0.48  % (31695)------------------------------
% 0.21/0.48  % (31695)------------------------------
% 0.21/0.49  % (31696)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  % (31694)Instruction limit reached!
% 0.21/0.49  % (31694)------------------------------
% 0.21/0.49  % (31694)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.49  % (31694)Termination reason: Unknown
% 0.21/0.49  % (31694)Termination phase: shuffling
% 0.21/0.49  
% 0.21/0.49  % (31694)Memory used [KB]: 1918
% 0.21/0.49  % (31694)Time elapsed: 0.015 s
% 0.21/0.49  % (31694)Instructions burned: 22 (million)
% 0.21/0.49  % (31694)------------------------------
% 0.21/0.49  % (31694)------------------------------
% 0.21/0.49  % (31696)Instruction limit reached!
% 0.21/0.49  % (31696)------------------------------
% 0.21/0.49  % (31696)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.49  % (31696)Termination reason: Unknown
% 0.21/0.49  % (31696)Termination phase: shuffling
% 0.21/0.49  
% 0.21/0.49  % (31696)Memory used [KB]: 1663
% 0.21/0.49  % (31696)Time elapsed: 0.006 s
% 0.21/0.49  % (31696)Instructions burned: 6 (million)
% 0.21/0.49  % (31696)------------------------------
% 0.21/0.49  % (31696)------------------------------
% 0.21/0.49  % (31697)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.21/0.50  % (31698)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)
% 0.21/0.51  % (31670)Instruction limit reached!
% 0.21/0.51  % (31670)------------------------------
% 0.21/0.51  % (31670)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.51  % (31670)Termination reason: Unknown
% 0.21/0.51  % (31670)Termination phase: Saturation
% 0.21/0.51  
% 0.21/0.51  % (31670)Memory used [KB]: 7675
% 0.21/0.51  % (31670)Time elapsed: 0.098 s
% 0.21/0.51  % (31670)Instructions burned: 183 (million)
% 0.21/0.51  % (31670)------------------------------
% 0.21/0.51  % (31670)------------------------------
% 0.21/0.51  % (31699)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)
% 0.21/0.51  % (31700)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)
% 0.21/0.52  % (31691)First to succeed.
% 0.21/0.52  % (31701)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.21/0.52  % (31691)Refutation found. Thanks to Tanya!
% 0.21/0.52  % SZS status Theorem for theBenchmark
% 0.21/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.53  % (31691)------------------------------
% 0.21/0.53  % (31691)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.53  % (31691)Termination reason: Refutation
% 0.21/0.53  
% 0.21/0.53  % (31691)Memory used [KB]: 7036
% 0.21/0.53  % (31691)Time elapsed: 0.055 s
% 0.21/0.53  % (31691)Instructions burned: 84 (million)
% 0.21/0.53  % (31691)------------------------------
% 0.21/0.53  % (31691)------------------------------
% 0.21/0.53  % (31669)Success in time 0.157 s
% 0.21/0.53  % Vampire---4.8 exiting
%------------------------------------------------------------------------------