TSTP Solution File: ITP178^1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ITP178^1 : TPTP v8.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n010.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 22:55:00 EDT 2024
% Result : Theorem 2.12s 0.64s
% Output : Refutation 2.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 408
% Syntax : Number of formulae : 456 ( 30 unt; 396 typ; 0 def)
% Number of atoms : 1509 ( 58 equ; 0 cnn)
% Maximal formula atoms : 4 ( 25 avg)
% Number of connectives : 77 ( 27 ~; 25 |; 21 &; 0 @)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 42 ( 41 usr)
% Number of type conns : 631 ( 630 >; 1 *; 0 +; 0 <<)
% Number of symbols : 322 ( 319 usr; 18 con; 0-6 aty)
% Number of variables : 63 ( 0 ^ 48 !; 0 ?; 63 :)
% ( 15 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
set_nat: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $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_188,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_189,type,
vAND: $o > $o > $o ).
thf(func_def_190,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_191,type,
cCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > X1 > X0 > X2 ) ).
thf(func_def_192,type,
sCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_193,type,
vIMP: $o > $o > $o ).
thf(func_def_194,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_195,type,
iCOMB:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_196,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_197,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_198,type,
vNOT: $o > $o ).
thf(func_def_199,type,
sP0: produc1235635379_b_nat > labeled_graph_b_nat > $o ).
thf(func_def_200,type,
sP1: nat > nat > nat > $o ).
thf(func_def_201,type,
sP2: nat > nat > nat > $o ).
thf(func_def_202,type,
sP3: nat > nat > nat > $o ).
thf(func_def_203,type,
sP4: nat > nat > nat > $o ).
thf(func_def_204,type,
sK5: set_Pr1987088711_a_nat > produc1871334759_a_nat ).
thf(func_def_205,type,
sK6: set_nat > nat ).
thf(func_def_206,type,
sK7: set_nat > nat ).
thf(func_def_207,type,
sK8: produc398057191_a_nat > produc1871334759_a_nat ).
thf(func_def_208,type,
sK9: produc398057191_a_nat > produc1871334759_a_nat ).
thf(func_def_209,type,
sK10: produc1871334759_a_nat > labele935650037_a_nat ).
thf(func_def_210,type,
sK11: produc1871334759_a_nat > labele935650037_a_nat ).
thf(func_def_211,type,
sK12: product_prod_nat_nat > nat ).
thf(func_def_212,type,
sK13: product_prod_nat_nat > nat ).
thf(func_def_213,type,
sK14: produc1478835367term_b > allegorical_term_b ).
thf(func_def_214,type,
sK15: produc1478835367term_b > allegorical_term_b ).
thf(func_def_215,type,
sK16: produc1235635379_b_nat > labeled_graph_b_nat ).
thf(func_def_216,type,
sK17: produc1235635379_b_nat > labeled_graph_b_nat ).
thf(func_def_217,type,
sK18: produc398057191_a_nat > produc1871334759_a_nat ).
thf(func_def_218,type,
sK19: produc398057191_a_nat > labele935650037_a_nat ).
thf(func_def_219,type,
sK20: produc398057191_a_nat > labele935650037_a_nat ).
thf(func_def_220,type,
sK21: produc398057191_a_nat > produc1871334759_a_nat ).
thf(func_def_221,type,
sK22: produc398057191_a_nat > produc1871334759_a_nat ).
thf(func_def_222,type,
sK23: produc1871334759_a_nat > labele935650037_a_nat ).
thf(func_def_223,type,
sK24: produc1871334759_a_nat > labele935650037_a_nat ).
thf(func_def_224,type,
sK25: product_prod_nat_nat > nat ).
thf(func_def_225,type,
sK26: product_prod_nat_nat > nat ).
thf(func_def_226,type,
sK27: produc1478835367term_b > allegorical_term_b ).
thf(func_def_227,type,
sK28: produc1478835367term_b > allegorical_term_b ).
thf(func_def_228,type,
sK29: produc1235635379_b_nat > labeled_graph_b_nat ).
thf(func_def_229,type,
sK30: produc1235635379_b_nat > labeled_graph_b_nat ).
thf(func_def_230,type,
sK31: ( produc1871334759_a_nat > $o ) > ( produc1871334759_a_nat > $o ) > produc1871334759_a_nat ).
thf(func_def_231,type,
sK32: set_Pr551076371_b_nat > produc1235635379_b_nat ).
thf(func_def_232,type,
sK33: labeled_graph_b_nat > set_Pr551076371_b_nat > produc1235635379_b_nat ).
thf(func_def_233,type,
sK34: set_Pr1987088711_a_nat > set_Pr1987088711_a_nat > produc1871334759_a_nat ).
thf(func_def_234,type,
sK35: produc1235635379_b_nat > labeled_graph_b_nat > labeled_graph_b_nat ).
thf(func_def_235,type,
sK36: produc1235635379_b_nat > labeled_graph_b_nat > set_Pr1986765409at_nat ).
thf(func_def_236,type,
sK37: set_Pr1163220871term_b > set_Pr1163220871term_b > allegorical_term_b ).
thf(func_def_237,type,
sK38: set_Pr1163220871term_b > set_Pr1163220871term_b > allegorical_term_b ).
thf(func_def_238,type,
sK39: set_Pr551076371_b_nat > set_Pr551076371_b_nat > labeled_graph_b_nat ).
thf(func_def_239,type,
sK40: set_Pr551076371_b_nat > set_Pr551076371_b_nat > labeled_graph_b_nat ).
thf(func_def_240,type,
sK41: set_Pr1987088711_a_nat > set_Pr1987088711_a_nat > labele935650037_a_nat ).
thf(func_def_241,type,
sK42: set_Pr1987088711_a_nat > set_Pr1987088711_a_nat > labele935650037_a_nat ).
thf(func_def_242,type,
sK43: ( produc398057191_a_nat > $o ) > produc1871334759_a_nat ).
thf(func_def_243,type,
sK44: ( produc398057191_a_nat > $o ) > produc1871334759_a_nat ).
thf(func_def_244,type,
sK45: ( produc398057191_a_nat > $o ) > produc1871334759_a_nat ).
thf(func_def_245,type,
sK46: ( produc398057191_a_nat > $o ) > produc1871334759_a_nat ).
thf(func_def_246,type,
sK47: ( product_prod_nat_nat > $o ) > nat ).
thf(func_def_247,type,
sK48: ( product_prod_nat_nat > $o ) > nat ).
thf(func_def_248,type,
sK49: ( product_prod_nat_nat > $o ) > nat ).
thf(func_def_249,type,
sK50: ( product_prod_nat_nat > $o ) > nat ).
thf(func_def_250,type,
sK51: ( produc1478835367term_b > $o ) > allegorical_term_b ).
thf(func_def_251,type,
sK52: ( produc1478835367term_b > $o ) > allegorical_term_b ).
thf(func_def_252,type,
sK53: ( produc1478835367term_b > $o ) > allegorical_term_b ).
thf(func_def_253,type,
sK54: ( produc1478835367term_b > $o ) > allegorical_term_b ).
thf(func_def_254,type,
sK55: ( produc1871334759_a_nat > $o ) > labele935650037_a_nat ).
thf(func_def_255,type,
sK56: ( produc1871334759_a_nat > $o ) > labele935650037_a_nat ).
thf(func_def_256,type,
sK57: ( produc1871334759_a_nat > $o ) > labele935650037_a_nat ).
thf(func_def_257,type,
sK58: ( produc1871334759_a_nat > $o ) > labele935650037_a_nat ).
thf(func_def_258,type,
sK59: ( produc1235635379_b_nat > $o ) > labeled_graph_b_nat ).
thf(func_def_259,type,
sK60: ( produc1235635379_b_nat > $o ) > labeled_graph_b_nat ).
thf(func_def_260,type,
sK61: ( produc1235635379_b_nat > $o ) > labeled_graph_b_nat ).
thf(func_def_261,type,
sK62: ( produc1235635379_b_nat > $o ) > labeled_graph_b_nat ).
thf(func_def_262,type,
sK63: ( produc398057191_a_nat > $o ) > produc1871334759_a_nat ).
thf(func_def_263,type,
sK64: ( produc398057191_a_nat > $o ) > labele935650037_a_nat ).
thf(func_def_264,type,
sK65: ( produc398057191_a_nat > $o ) > labele935650037_a_nat ).
thf(func_def_265,type,
sK66: nat > set_nat > nat ).
thf(func_def_266,type,
sK67: nat > set_nat > nat ).
thf(func_def_267,type,
sK68: set_Pr551076371_b_nat > ( nat > labeled_graph_b_nat ) > produc1235635379_b_nat ).
thf(func_def_268,type,
sK69: set_Pr551076371_b_nat > ( nat > labeled_graph_b_nat ) > set_Pr1986765409at_nat ).
thf(func_def_269,type,
sK70: set_Pr551076371_b_nat > ( nat > labeled_graph_b_nat ) > nat ).
thf(func_def_270,type,
sK71: set_Pr1987088711_a_nat > produc398057191_a_nat > produc1871334759_a_nat ).
thf(func_def_271,type,
sK72: set_Pr1987088711_a_nat > labele935650037_a_nat > labele935650037_a_nat ).
thf(func_def_272,type,
sK73: set_Pr1987088711_a_nat > labele935650037_a_nat > labele935650037_a_nat ).
thf(func_def_273,type,
sK74: set_Pr1163220871term_b > allegorical_term_b > allegorical_term_b ).
thf(func_def_274,type,
sK75: set_Pr1163220871term_b > allegorical_term_b > allegorical_term_b ).
thf(func_def_275,type,
sK76: set_Pr551076371_b_nat > labeled_graph_b_nat > labeled_graph_b_nat ).
thf(func_def_276,type,
sK77: set_Pr551076371_b_nat > labeled_graph_b_nat > labeled_graph_b_nat ).
thf(func_def_277,type,
sK78: set_al1193902458term_b > produc1478835367term_b > allegorical_term_b ).
thf(func_def_278,type,
sK79: set_la1976028319_b_nat > produc1235635379_b_nat > labeled_graph_b_nat ).
thf(func_def_279,type,
sK80: set_la1083530965_a_nat > produc1871334759_a_nat > labele935650037_a_nat ).
thf(func_def_280,type,
sK81: set_nat > product_prod_nat_nat > nat ).
thf(func_def_281,type,
sK82: ( allegorical_term_b > allegorical_term_b > $o ) > allegorical_term_b ).
thf(func_def_282,type,
sK83: ( allegorical_term_b > allegorical_term_b > $o ) > allegorical_term_b ).
thf(func_def_283,type,
sK84: ( labeled_graph_b_nat > labeled_graph_b_nat > $o ) > labeled_graph_b_nat ).
thf(func_def_284,type,
sK85: ( labeled_graph_b_nat > labeled_graph_b_nat > $o ) > labeled_graph_b_nat ).
thf(func_def_285,type,
sK86: labeled_graph_b_nat > labeled_graph_b_nat > labeled_graph_b_nat > set_Pr1986765409at_nat ).
thf(func_def_286,type,
sK87: ( nat > nat > $o ) > nat ).
thf(func_def_287,type,
sK88: ( nat > nat > $o ) > nat ).
thf(func_def_288,type,
sK89: ( nat > nat > $o ) > nat ).
thf(func_def_289,type,
sK90: ( nat > nat > $o ) > nat ).
thf(func_def_290,type,
sK91: ( nat > $o ) > nat ).
thf(func_def_291,type,
sK92: nat > ( nat > $o ) > nat ).
thf(func_def_292,type,
sK93: set_Pr2041158302at_nat > set_Pr9961929at_nat > ( nat > labeled_graph_b_nat ) > nat ).
thf(func_def_293,type,
sK94: set_Pr1986765409at_nat > set_nat > ( nat > labeled_graph_b_nat ) > nat ).
thf(func_def_294,type,
sK95: ( labele935650037_a_nat > $o ) > set_Pr1987088711_a_nat > labele935650037_a_nat ).
thf(func_def_295,type,
sK96: ( labele935650037_a_nat > $o ) > set_Pr1987088711_a_nat > labele935650037_a_nat ).
thf(func_def_296,type,
sK97: ( allegorical_term_b > $o ) > set_Pr1163220871term_b > allegorical_term_b ).
thf(func_def_297,type,
sK98: ( allegorical_term_b > $o ) > set_Pr1163220871term_b > allegorical_term_b ).
thf(func_def_298,type,
sK99: ( labeled_graph_b_nat > $o ) > set_Pr551076371_b_nat > labeled_graph_b_nat ).
thf(func_def_299,type,
sK100: ( labeled_graph_b_nat > $o ) > set_Pr551076371_b_nat > labeled_graph_b_nat ).
thf(func_def_300,type,
sK101: set_Pr1986765409at_nat > labeled_graph_b_nat > produc1235635379_b_nat > set_Pr1986765409at_nat ).
thf(func_def_301,type,
sK102: set_Pr1163220871term_b > set_Pr1163220871term_b > produc1478835367term_b > allegorical_term_b ).
thf(func_def_302,type,
sK103: set_Pr1163220871term_b > set_Pr1163220871term_b > produc1478835367term_b > allegorical_term_b ).
thf(func_def_303,type,
sK104: set_Pr1163220871term_b > set_Pr1163220871term_b > produc1478835367term_b > allegorical_term_b ).
thf(func_def_304,type,
sK105: set_Pr551076371_b_nat > set_Pr551076371_b_nat > produc1235635379_b_nat > labeled_graph_b_nat ).
thf(func_def_305,type,
sK106: set_Pr551076371_b_nat > set_Pr551076371_b_nat > produc1235635379_b_nat > labeled_graph_b_nat ).
thf(func_def_306,type,
sK107: set_Pr551076371_b_nat > set_Pr551076371_b_nat > produc1235635379_b_nat > labeled_graph_b_nat ).
thf(func_def_307,type,
sK108: set_Pr1987088711_a_nat > set_Pr1987088711_a_nat > produc1871334759_a_nat > labele935650037_a_nat ).
thf(func_def_308,type,
sK109: set_Pr1987088711_a_nat > set_Pr1987088711_a_nat > produc1871334759_a_nat > labele935650037_a_nat ).
thf(func_def_309,type,
sK110: set_Pr1987088711_a_nat > set_Pr1987088711_a_nat > produc1871334759_a_nat > labele935650037_a_nat ).
thf(func_def_310,type,
sK111: ( nat > nat ) > nat ).
thf(func_def_311,type,
sK112: ( nat > nat ) > nat ).
thf(func_def_312,type,
sK113: set_Pr1986765409at_nat > set_nat > set_Pr9961929at_nat > ( nat > labeled_graph_b_nat ) > nat ).
thf(func_def_313,type,
sK114: ( nat > nat ) > nat ).
thf(func_def_314,type,
sK115: ( nat > nat ) > nat ).
thf(func_def_315,type,
sK116: ( nat > nat ) > nat ).
thf(func_def_316,type,
sK117: ( nat > nat ) > nat ).
thf(func_def_317,type,
sK118: ( nat > nat ) > nat ).
thf(func_def_318,type,
sK119: ( nat > nat ) > nat ).
thf(func_def_319,type,
sK120: set_Pr1986765409at_nat > labeled_graph_b_nat > labeled_graph_b_nat > set_Pr1986765409at_nat ).
thf(func_def_320,type,
sK121: set_Pr1163220871term_b > set_Pr1163220871term_b > allegorical_term_b > allegorical_term_b > allegorical_term_b ).
thf(func_def_321,type,
sK122: set_Pr1163220871term_b > set_Pr1163220871term_b > allegorical_term_b > allegorical_term_b > allegorical_term_b ).
thf(func_def_322,type,
sK123: set_Pr551076371_b_nat > set_Pr551076371_b_nat > labeled_graph_b_nat > labeled_graph_b_nat > labeled_graph_b_nat ).
thf(func_def_323,type,
sK124: set_Pr551076371_b_nat > set_Pr551076371_b_nat > labeled_graph_b_nat > labeled_graph_b_nat > labeled_graph_b_nat ).
thf(func_def_324,type,
sK125: set_Pr1987088711_a_nat > set_Pr1987088711_a_nat > labele935650037_a_nat > labele935650037_a_nat > labele935650037_a_nat ).
thf(func_def_325,type,
sK126: set_Pr1987088711_a_nat > set_Pr1987088711_a_nat > labele935650037_a_nat > labele935650037_a_nat > labele935650037_a_nat ).
thf(func_def_326,type,
sK127: set_Pr1986765409at_nat > produc1235635379_b_nat > ( nat > labeled_graph_b_nat ) > nat ).
thf(func_def_327,type,
sK128: ( allegorical_term_b > allegorical_term_b > $o ) > set_Pr1163220871term_b > set_Pr1163220871term_b > allegorical_term_b ).
thf(func_def_328,type,
sK129: ( allegorical_term_b > allegorical_term_b > $o ) > set_Pr1163220871term_b > set_Pr1163220871term_b > allegorical_term_b ).
thf(func_def_329,type,
sK130: ( allegorical_term_b > allegorical_term_b > $o ) > set_Pr1163220871term_b > set_Pr1163220871term_b > allegorical_term_b ).
thf(func_def_330,type,
sK131: ( labeled_graph_b_nat > labeled_graph_b_nat > $o ) > set_Pr551076371_b_nat > set_Pr551076371_b_nat > labeled_graph_b_nat ).
thf(func_def_331,type,
sK132: ( labeled_graph_b_nat > labeled_graph_b_nat > $o ) > set_Pr551076371_b_nat > set_Pr551076371_b_nat > labeled_graph_b_nat ).
thf(func_def_332,type,
sK133: ( labeled_graph_b_nat > labeled_graph_b_nat > $o ) > set_Pr551076371_b_nat > set_Pr551076371_b_nat > labeled_graph_b_nat ).
thf(func_def_333,type,
sK134: ( labele935650037_a_nat > labele935650037_a_nat > $o ) > set_Pr1987088711_a_nat > set_Pr1987088711_a_nat > labele935650037_a_nat ).
thf(func_def_334,type,
sK135: ( labele935650037_a_nat > labele935650037_a_nat > $o ) > set_Pr1987088711_a_nat > set_Pr1987088711_a_nat > labele935650037_a_nat ).
thf(func_def_335,type,
sK136: ( labele935650037_a_nat > labele935650037_a_nat > $o ) > set_Pr1987088711_a_nat > set_Pr1987088711_a_nat > labele935650037_a_nat ).
thf(func_def_336,type,
sK137: labeled_graph_b_nat > set_Pr1986765409at_nat > labeled_graph_b_nat > produc1235635379_b_nat > set_Pr1986765409at_nat ).
thf(func_def_337,type,
sK138: labeled_graph_b_nat > set_Pr1986765409at_nat > labeled_graph_b_nat > produc1235635379_b_nat > set_Pr1986765409at_nat ).
thf(func_def_338,type,
sK139: labeled_graph_b_nat > set_Pr1986765409at_nat > labeled_graph_b_nat > produc1235635379_b_nat > labeled_graph_b_nat ).
thf(func_def_339,type,
sK140: set_Pr1986765409at_nat > labeled_graph_b_nat > labeled_graph_b_nat > set_Pr1986765409at_nat ).
thf(func_def_341,type,
vOR: $o > $o > $o ).
thf(func_def_342,type,
sK142: set_Pr1987088711_a_nat > labele935650037_a_nat > labele935650037_a_nat > set_Pr1987088711_a_nat > labele935650037_a_nat ).
thf(func_def_343,type,
sK143: set_Pr551076371_b_nat > labeled_graph_b_nat > labeled_graph_b_nat > set_Pr551076371_b_nat > labeled_graph_b_nat ).
thf(func_def_344,type,
sK144: set_Pr1163220871term_b > allegorical_term_b > allegorical_term_b > set_Pr1163220871term_b > allegorical_term_b ).
thf(func_def_345,type,
sK145: set_Pr551076371_b_nat > labeled_graph_b_nat > set_la1976028319_b_nat > labeled_graph_b_nat ).
thf(func_def_346,type,
sK146: set_Pr1163220871term_b > allegorical_term_b > set_al1193902458term_b > allegorical_term_b ).
thf(func_def_347,type,
sK147: set_Pr1987088711_a_nat > labele935650037_a_nat > set_la1083530965_a_nat > labele935650037_a_nat ).
thf(func_def_348,type,
sK148: set_Pr551076371_b_nat > labeled_graph_b_nat > labeled_graph_b_nat ).
thf(func_def_349,type,
sK149: set_Pr551076371_b_nat > labeled_graph_b_nat > labeled_graph_b_nat ).
thf(func_def_350,type,
sK150: set_Pr1163220871term_b > allegorical_term_b > allegorical_term_b ).
thf(func_def_351,type,
sK151: set_Pr1163220871term_b > allegorical_term_b > allegorical_term_b ).
thf(func_def_352,type,
sK152: set_Pr1987088711_a_nat > labele935650037_a_nat > labele935650037_a_nat ).
thf(func_def_353,type,
sK153: set_Pr1987088711_a_nat > labele935650037_a_nat > labele935650037_a_nat ).
thf(func_def_354,type,
sK154: produc1235635379_b_nat > labeled_graph_b_nat > labeled_graph_b_nat ).
thf(func_def_355,type,
sK155: produc1235635379_b_nat > labeled_graph_b_nat > labeled_graph_b_nat ).
thf(func_def_356,type,
sK156: produc1478835367term_b > allegorical_term_b > allegorical_term_b ).
thf(func_def_357,type,
sK157: produc1478835367term_b > allegorical_term_b > allegorical_term_b ).
thf(f2427,plain,
$false,
inference(avatar_sat_refutation,[],[f2366,f2409,f2413,f2420,f2425]) ).
thf(f2425,plain,
spl141_4,
inference(avatar_contradiction_clause,[],[f2424]) ).
thf(f2424,plain,
( $false
| spl141_4 ),
inference(subsumption_resolution,[],[f2423,f1637]) ).
thf(f1637,plain,
! [X0: allegorical_term_b] : ( vAPP(set_Pr9961929at_nat,$o,finite1987068434at_nat,vAPP(labeled_graph_b_nat,set_Pr9961929at_nat,labeled_edges_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,X0))) = $true ),
inference(cnf_transformation,[],[f487]) ).
thf(f487,plain,
! [X0: allegorical_term_b] : ( vAPP(set_Pr9961929at_nat,$o,finite1987068434at_nat,vAPP(labeled_graph_b_nat,set_Pr9961929at_nat,labeled_edges_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,X0))) = $true ),
inference(fool_elimination,[],[f486]) ).
thf(f486,plain,
! [X0: allegorical_term_b] : vAPP(set_Pr9961929at_nat,$o,finite1987068434at_nat,vAPP(labeled_graph_b_nat,set_Pr9961929at_nat,labeled_edges_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,X0))),
inference(rectify,[],[f13]) ).
thf(f13,axiom,
! [X0: allegorical_term_b] : vAPP(set_Pr9961929at_nat,$o,finite1987068434at_nat,vAPP(labeled_graph_b_nat,set_Pr9961929at_nat,labeled_edges_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_12_verts__in__translation__finite_I2_J) ).
thf(f2423,plain,
( ( $true != vAPP(set_Pr9961929at_nat,$o,finite1987068434at_nat,vAPP(labeled_graph_b_nat,set_Pr9961929at_nat,labeled_edges_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v)))))) )
| spl141_4 ),
inference(forward_demodulation,[],[f2365,f1653]) ).
thf(f1653,plain,
! [X0: labeled_graph_b_nat,X1: labeled_graph_b_nat] : ( vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,X0),X1)) = X1 ),
inference(cnf_transformation,[],[f952]) ).
thf(f952,plain,
! [X0: labeled_graph_b_nat,X1: labeled_graph_b_nat] : ( vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,X0),X1)) = X1 ),
inference(rectify,[],[f87]) ).
thf(f87,axiom,
! [X11: labeled_graph_b_nat,X12: labeled_graph_b_nat] : ( vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,X11),X12)) = X12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_86_snd__conv) ).
thf(f2365,plain,
( ( vAPP(set_Pr9961929at_nat,$o,finite1987068434at_nat,vAPP(labeled_graph_b_nat,set_Pr9961929at_nat,labeled_edges_b_nat,vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v)))))))) != $true )
| spl141_4 ),
inference(avatar_component_clause,[],[f2363]) ).
thf(f2363,plain,
( spl141_4
<=> ( vAPP(set_Pr9961929at_nat,$o,finite1987068434at_nat,vAPP(labeled_graph_b_nat,set_Pr9961929at_nat,labeled_edges_b_nat,vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v)))))))) = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl141_4])]) ).
thf(f2420,plain,
spl141_3,
inference(avatar_contradiction_clause,[],[f2419]) ).
thf(f2419,plain,
( $false
| spl141_3 ),
inference(subsumption_resolution,[],[f2418,f1641]) ).
thf(f1641,plain,
! [X0: allegorical_term_b] : ( vAPP(set_nat,$o,finite_finite_nat,vAPP(labeled_graph_b_nat,set_nat,labele460410879_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,X0))) = $true ),
inference(cnf_transformation,[],[f495]) ).
thf(f495,plain,
! [X0: allegorical_term_b] : ( vAPP(set_nat,$o,finite_finite_nat,vAPP(labeled_graph_b_nat,set_nat,labele460410879_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,X0))) = $true ),
inference(fool_elimination,[],[f494]) ).
thf(f494,plain,
! [X0: allegorical_term_b] : vAPP(set_nat,$o,finite_finite_nat,vAPP(labeled_graph_b_nat,set_nat,labele460410879_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,X0))),
inference(rectify,[],[f21]) ).
thf(f21,axiom,
! [X0: allegorical_term_b] : vAPP(set_nat,$o,finite_finite_nat,vAPP(labeled_graph_b_nat,set_nat,labele460410879_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_20_verts__in__translation__finite_I1_J) ).
thf(f2418,plain,
( ( $true != vAPP(set_nat,$o,finite_finite_nat,vAPP(labeled_graph_b_nat,set_nat,labele460410879_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v)))))) )
| spl141_3 ),
inference(forward_demodulation,[],[f2361,f1653]) ).
thf(f2361,plain,
( ( vAPP(set_nat,$o,finite_finite_nat,vAPP(labeled_graph_b_nat,set_nat,labele460410879_b_nat,vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v)))))))) != $true )
| spl141_3 ),
inference(avatar_component_clause,[],[f2359]) ).
thf(f2359,plain,
( spl141_3
<=> ( vAPP(set_nat,$o,finite_finite_nat,vAPP(labeled_graph_b_nat,set_nat,labele460410879_b_nat,vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v)))))))) = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl141_3])]) ).
thf(f2413,plain,
spl141_2,
inference(avatar_contradiction_clause,[],[f2412]) ).
thf(f2412,plain,
( $false
| spl141_2 ),
inference(subsumption_resolution,[],[f2411,f2374]) ).
thf(f2374,plain,
! [X0: allegorical_term_b,X1: allegorical_term_b] : ( vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,X0),X1)) = vAPP(labeled_graph_b_nat,labeled_graph_b_nat,restrict_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,X0),X1))) ),
inference(forward_demodulation,[],[f1684,f1653]) ).
thf(f1684,plain,
! [X0: allegorical_term_b,X1: allegorical_term_b] : ( vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,X0)),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,X0),X1)))) = vAPP(labeled_graph_b_nat,labeled_graph_b_nat,restrict_b_nat,vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,X0)),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,X0),X1))))) ),
inference(cnf_transformation,[],[f531]) ).
thf(f531,plain,
! [X0: allegorical_term_b,X1: allegorical_term_b] :
( ( vAPP(set_Pr9961929at_nat,$o,finite1987068434at_nat,vAPP(labeled_graph_b_nat,set_Pr9961929at_nat,labeled_edges_b_nat,vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,X0)),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,X0),X1)))))) = $true )
& ( vAPP(set_nat,$o,finite_finite_nat,vAPP(labeled_graph_b_nat,set_nat,labele460410879_b_nat,vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,X0)),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,X0),X1)))))) = $true )
& ( vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,X0)),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,X0),X1)))) = vAPP(labeled_graph_b_nat,labeled_graph_b_nat,restrict_b_nat,vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,X0)),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,X0),X1))))) )
& ( vAPP(set_Pr1986765409at_nat,$o,vAPP(labeled_graph_b_nat,sTfun(set_Pr1986765409at_nat,$o),vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,sTfun(set_Pr1986765409at_nat,$o)),graph_529870330at_nat,vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc1542243159_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,X0)),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,X0),X1))))),vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,X0)),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,X0),X1))))),vAPP(set_nat,set_Pr1986765409at_nat,id_on_nat,vAPP(labeled_graph_b_nat,set_nat,labele460410879_b_nat,vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc1542243159_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,X0)),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,X0),X1))))))) = $true ) ),
inference(fool_elimination,[],[f530]) ).
thf(f530,plain,
! [X0: allegorical_term_b,X1: allegorical_term_b] :
( vAPP(set_Pr9961929at_nat,$o,finite1987068434at_nat,vAPP(labeled_graph_b_nat,set_Pr9961929at_nat,labeled_edges_b_nat,vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,X0)),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,X0),X1))))))
& vAPP(set_nat,$o,finite_finite_nat,vAPP(labeled_graph_b_nat,set_nat,labele460410879_b_nat,vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,X0)),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,X0),X1))))))
& ( vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,X0)),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,X0),X1)))) = vAPP(labeled_graph_b_nat,labeled_graph_b_nat,restrict_b_nat,vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,X0)),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,X0),X1))))) )
& vAPP(set_Pr1986765409at_nat,$o,vAPP(labeled_graph_b_nat,sTfun(set_Pr1986765409at_nat,$o),vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,sTfun(set_Pr1986765409at_nat,$o)),graph_529870330at_nat,vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc1542243159_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,X0)),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,X0),X1))))),vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,X0)),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,X0),X1))))),vAPP(set_nat,set_Pr1986765409at_nat,id_on_nat,vAPP(labeled_graph_b_nat,set_nat,labele460410879_b_nat,vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc1542243159_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,X0)),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,X0),X1))))))) ),
inference(rectify,[],[f4]) ).
thf(f4,axiom,
! [X0: allegorical_term_b,X1: allegorical_term_b] :
( vAPP(set_Pr9961929at_nat,$o,finite1987068434at_nat,vAPP(labeled_graph_b_nat,set_Pr9961929at_nat,labeled_edges_b_nat,vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,X0)),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,X0),X1))))))
& vAPP(set_nat,$o,finite_finite_nat,vAPP(labeled_graph_b_nat,set_nat,labele460410879_b_nat,vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,X0)),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,X0),X1))))))
& ( vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,X0)),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,X0),X1)))) = vAPP(labeled_graph_b_nat,labeled_graph_b_nat,restrict_b_nat,vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,X0)),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,X0),X1))))) )
& vAPP(set_Pr1986765409at_nat,$o,vAPP(labeled_graph_b_nat,sTfun(set_Pr1986765409at_nat,$o),vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,sTfun(set_Pr1986765409at_nat,$o)),graph_529870330at_nat,vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc1542243159_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,X0)),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,X0),X1))))),vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,X0)),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,X0),X1))))),vAPP(set_nat,set_Pr1986765409at_nat,id_on_nat,vAPP(labeled_graph_b_nat,set_nat,labele460410879_b_nat,vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc1542243159_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,X0)),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,X0),X1))))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_graph__rule__translation) ).
thf(f2411,plain,
( ( vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v)) != vAPP(labeled_graph_b_nat,labeled_graph_b_nat,restrict_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))) )
| spl141_2 ),
inference(forward_demodulation,[],[f2410,f1649]) ).
thf(f1649,plain,
! [X0: allegorical_term_b,X1: allegorical_term_b] : ( vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,X0),X1)) = X1 ),
inference(cnf_transformation,[],[f948]) ).
thf(f948,plain,
! [X0: allegorical_term_b,X1: allegorical_term_b] : ( vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,X0),X1)) = X1 ),
inference(rectify,[],[f86]) ).
thf(f86,axiom,
! [X11: allegorical_term_b,X12: allegorical_term_b] : ( vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,X11),X12)) = X12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_85_snd__conv) ).
thf(f2410,plain,
( ( vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v)))) != vAPP(labeled_graph_b_nat,labeled_graph_b_nat,restrict_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))) )
| spl141_2 ),
inference(forward_demodulation,[],[f2357,f1653]) ).
thf(f2357,plain,
( ( vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v)))))) != vAPP(labeled_graph_b_nat,labeled_graph_b_nat,restrict_b_nat,vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))))) )
| spl141_2 ),
inference(avatar_component_clause,[],[f2355]) ).
thf(f2355,plain,
( spl141_2
<=> ( vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v)))))) = vAPP(labeled_graph_b_nat,labeled_graph_b_nat,restrict_b_nat,vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl141_2])]) ).
thf(f2409,plain,
spl141_1,
inference(avatar_contradiction_clause,[],[f2408]) ).
thf(f2408,plain,
( $false
| spl141_1 ),
inference(subsumption_resolution,[],[f2407,f2376]) ).
thf(f2376,plain,
! [X0: allegorical_term_b,X1: allegorical_term_b] : ( $true = vAPP(set_Pr1986765409at_nat,$o,vAPP(labeled_graph_b_nat,sTfun(set_Pr1986765409at_nat,$o),vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,sTfun(set_Pr1986765409at_nat,$o)),graph_529870330at_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,X0)),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,X0),X1))),vAPP(set_nat,set_Pr1986765409at_nat,id_on_nat,vAPP(labeled_graph_b_nat,set_nat,labele460410879_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,X0)))) ),
inference(forward_demodulation,[],[f2375,f1653]) ).
thf(f2375,plain,
! [X0: allegorical_term_b,X1: allegorical_term_b] : ( $true = vAPP(set_Pr1986765409at_nat,$o,vAPP(labeled_graph_b_nat,sTfun(set_Pr1986765409at_nat,$o),vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,sTfun(set_Pr1986765409at_nat,$o)),graph_529870330at_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,X0)),vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,X0)),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,X0),X1))))),vAPP(set_nat,set_Pr1986765409at_nat,id_on_nat,vAPP(labeled_graph_b_nat,set_nat,labele460410879_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,X0)))) ),
inference(forward_demodulation,[],[f1683,f1652]) ).
thf(f1652,plain,
! [X0: labeled_graph_b_nat,X1: labeled_graph_b_nat] : ( vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc1542243159_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,X0),X1)) = X0 ),
inference(cnf_transformation,[],[f951]) ).
thf(f951,plain,
! [X0: labeled_graph_b_nat,X1: labeled_graph_b_nat] : ( vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc1542243159_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,X0),X1)) = X0 ),
inference(rectify,[],[f76]) ).
thf(f76,axiom,
! [X11: labeled_graph_b_nat,X12: labeled_graph_b_nat] : ( vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc1542243159_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,X11),X12)) = X11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_75_fst__conv) ).
thf(f1683,plain,
! [X0: allegorical_term_b,X1: allegorical_term_b] : ( vAPP(set_Pr1986765409at_nat,$o,vAPP(labeled_graph_b_nat,sTfun(set_Pr1986765409at_nat,$o),vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,sTfun(set_Pr1986765409at_nat,$o)),graph_529870330at_nat,vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc1542243159_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,X0)),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,X0),X1))))),vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,X0)),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,X0),X1))))),vAPP(set_nat,set_Pr1986765409at_nat,id_on_nat,vAPP(labeled_graph_b_nat,set_nat,labele460410879_b_nat,vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc1542243159_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,X0)),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,X0),X1))))))) = $true ),
inference(cnf_transformation,[],[f531]) ).
thf(f2407,plain,
( ( $true != vAPP(set_Pr1986765409at_nat,$o,vAPP(labeled_graph_b_nat,sTfun(set_Pr1986765409at_nat,$o),vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,sTfun(set_Pr1986765409at_nat,$o)),graph_529870330at_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,u)),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))),vAPP(set_nat,set_Pr1986765409at_nat,id_on_nat,vAPP(labeled_graph_b_nat,set_nat,labele460410879_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,u)))) )
| spl141_1 ),
inference(forward_demodulation,[],[f2406,f1649]) ).
thf(f2406,plain,
( ( $true != vAPP(set_Pr1986765409at_nat,$o,vAPP(labeled_graph_b_nat,sTfun(set_Pr1986765409at_nat,$o),vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,sTfun(set_Pr1986765409at_nat,$o)),graph_529870330at_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,u)),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))),vAPP(set_nat,set_Pr1986765409at_nat,id_on_nat,vAPP(labeled_graph_b_nat,set_nat,labele460410879_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,u)))) )
| spl141_1 ),
inference(forward_demodulation,[],[f2405,f1653]) ).
thf(f2405,plain,
( ( $true != vAPP(set_Pr1986765409at_nat,$o,vAPP(labeled_graph_b_nat,sTfun(set_Pr1986765409at_nat,$o),vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,sTfun(set_Pr1986765409at_nat,$o)),graph_529870330at_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,u)),vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,u)),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))))),vAPP(set_nat,set_Pr1986765409at_nat,id_on_nat,vAPP(labeled_graph_b_nat,set_nat,labele460410879_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,u)))) )
| spl141_1 ),
inference(forward_demodulation,[],[f2404,f1648]) ).
thf(f1648,plain,
! [X0: allegorical_term_b,X1: allegorical_term_b] : ( vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,X0),X1)) = X0 ),
inference(cnf_transformation,[],[f947]) ).
thf(f947,plain,
! [X0: allegorical_term_b,X1: allegorical_term_b] : ( vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,X0),X1)) = X0 ),
inference(rectify,[],[f77]) ).
thf(f77,axiom,
! [X11: allegorical_term_b,X12: allegorical_term_b] : ( vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,X11),X12)) = X11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_76_fst__conv) ).
thf(f2404,plain,
( ( $true != vAPP(set_Pr1986765409at_nat,$o,vAPP(labeled_graph_b_nat,sTfun(set_Pr1986765409at_nat,$o),vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,sTfun(set_Pr1986765409at_nat,$o)),graph_529870330at_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))),vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))))),vAPP(set_nat,set_Pr1986765409at_nat,id_on_nat,vAPP(labeled_graph_b_nat,set_nat,labele460410879_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))))) )
| spl141_1 ),
inference(forward_demodulation,[],[f2353,f1652]) ).
thf(f2353,plain,
( ( vAPP(set_Pr1986765409at_nat,$o,vAPP(labeled_graph_b_nat,sTfun(set_Pr1986765409at_nat,$o),vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,sTfun(set_Pr1986765409at_nat,$o)),graph_529870330at_nat,vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc1542243159_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))))),vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))))),vAPP(set_nat,set_Pr1986765409at_nat,id_on_nat,vAPP(labeled_graph_b_nat,set_nat,labele460410879_b_nat,vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc1542243159_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))))))) != $true )
| spl141_1 ),
inference(avatar_component_clause,[],[f2351]) ).
thf(f2351,plain,
( spl141_1
<=> ( vAPP(set_Pr1986765409at_nat,$o,vAPP(labeled_graph_b_nat,sTfun(set_Pr1986765409at_nat,$o),vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,sTfun(set_Pr1986765409at_nat,$o)),graph_529870330at_nat,vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc1542243159_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))))),vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))))),vAPP(set_nat,set_Pr1986765409at_nat,id_on_nat,vAPP(labeled_graph_b_nat,set_nat,labele460410879_b_nat,vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc1542243159_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))))))) = $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl141_1])]) ).
thf(f2366,plain,
( ~ spl141_1
| ~ spl141_2
| ~ spl141_3
| ~ spl141_4 ),
inference(avatar_split_clause,[],[f1510,f2363,f2359,f2355,f2351]) ).
thf(f1510,plain,
( ( vAPP(set_Pr9961929at_nat,$o,finite1987068434at_nat,vAPP(labeled_graph_b_nat,set_Pr9961929at_nat,labeled_edges_b_nat,vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v)))))))) != $true )
| ( vAPP(set_nat,$o,finite_finite_nat,vAPP(labeled_graph_b_nat,set_nat,labele460410879_b_nat,vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v)))))))) != $true )
| ( vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v)))))) != vAPP(labeled_graph_b_nat,labeled_graph_b_nat,restrict_b_nat,vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))))) )
| ( vAPP(set_Pr1986765409at_nat,$o,vAPP(labeled_graph_b_nat,sTfun(set_Pr1986765409at_nat,$o),vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,sTfun(set_Pr1986765409at_nat,$o)),graph_529870330at_nat,vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc1542243159_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))))),vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))))),vAPP(set_nat,set_Pr1986765409at_nat,id_on_nat,vAPP(labeled_graph_b_nat,set_nat,labele460410879_b_nat,vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc1542243159_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))))))) != $true ) ),
inference(cnf_transformation,[],[f1014]) ).
thf(f1014,plain,
( ( vAPP(set_Pr9961929at_nat,$o,finite1987068434at_nat,vAPP(labeled_graph_b_nat,set_Pr9961929at_nat,labeled_edges_b_nat,vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v)))))))) != $true )
| ( vAPP(set_nat,$o,finite_finite_nat,vAPP(labeled_graph_b_nat,set_nat,labele460410879_b_nat,vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v)))))))) != $true )
| ( vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v)))))) != vAPP(labeled_graph_b_nat,labeled_graph_b_nat,restrict_b_nat,vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))))) )
| ( vAPP(set_Pr1986765409at_nat,$o,vAPP(labeled_graph_b_nat,sTfun(set_Pr1986765409at_nat,$o),vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,sTfun(set_Pr1986765409at_nat,$o)),graph_529870330at_nat,vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc1542243159_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))))),vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))))),vAPP(set_nat,set_Pr1986765409at_nat,id_on_nat,vAPP(labeled_graph_b_nat,set_nat,labele460410879_b_nat,vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc1542243159_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))))))) != $true ) ),
inference(ennf_transformation,[],[f361]) ).
thf(f361,plain,
~ ( ( vAPP(set_Pr9961929at_nat,$o,finite1987068434at_nat,vAPP(labeled_graph_b_nat,set_Pr9961929at_nat,labeled_edges_b_nat,vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v)))))))) = $true )
& ( vAPP(set_nat,$o,finite_finite_nat,vAPP(labeled_graph_b_nat,set_nat,labele460410879_b_nat,vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v)))))))) = $true )
& ( vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v)))))) = vAPP(labeled_graph_b_nat,labeled_graph_b_nat,restrict_b_nat,vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))))) )
& ( vAPP(set_Pr1986765409at_nat,$o,vAPP(labeled_graph_b_nat,sTfun(set_Pr1986765409at_nat,$o),vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,sTfun(set_Pr1986765409at_nat,$o)),graph_529870330at_nat,vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc1542243159_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))))),vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))))),vAPP(set_nat,set_Pr1986765409at_nat,id_on_nat,vAPP(labeled_graph_b_nat,set_nat,labele460410879_b_nat,vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc1542243159_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))))))) = $true ) ),
inference(fool_elimination,[],[f360]) ).
thf(f360,plain,
~ ( vAPP(set_Pr9961929at_nat,$o,finite1987068434at_nat,vAPP(labeled_graph_b_nat,set_Pr9961929at_nat,labeled_edges_b_nat,vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))))))
& vAPP(set_nat,$o,finite_finite_nat,vAPP(labeled_graph_b_nat,set_nat,labele460410879_b_nat,vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))))))
& ( vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v)))))) = vAPP(labeled_graph_b_nat,labeled_graph_b_nat,restrict_b_nat,vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))))) )
& vAPP(set_Pr1986765409at_nat,$o,vAPP(labeled_graph_b_nat,sTfun(set_Pr1986765409at_nat,$o),vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,sTfun(set_Pr1986765409at_nat,$o)),graph_529870330at_nat,vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc1542243159_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))))),vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))))),vAPP(set_nat,set_Pr1986765409at_nat,id_on_nat,vAPP(labeled_graph_b_nat,set_nat,labele460410879_b_nat,vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc1542243159_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))))))) ),
inference(rectify,[],[f357]) ).
thf(f357,negated_conjecture,
~ ( vAPP(set_Pr9961929at_nat,$o,finite1987068434at_nat,vAPP(labeled_graph_b_nat,set_Pr9961929at_nat,labeled_edges_b_nat,vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))))))
& vAPP(set_nat,$o,finite_finite_nat,vAPP(labeled_graph_b_nat,set_nat,labele460410879_b_nat,vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))))))
& ( vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v)))))) = vAPP(labeled_graph_b_nat,labeled_graph_b_nat,restrict_b_nat,vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))))) )
& vAPP(set_Pr1986765409at_nat,$o,vAPP(labeled_graph_b_nat,sTfun(set_Pr1986765409at_nat,$o),vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,sTfun(set_Pr1986765409at_nat,$o)),graph_529870330at_nat,vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc1542243159_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))))),vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))))),vAPP(set_nat,set_Pr1986765409at_nat,id_on_nat,vAPP(labeled_graph_b_nat,set_nat,labele460410879_b_nat,vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc1542243159_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))))))) ),
inference(negated_conjecture,[],[f356]) ).
thf(f356,conjecture,
( vAPP(set_Pr9961929at_nat,$o,finite1987068434at_nat,vAPP(labeled_graph_b_nat,set_Pr9961929at_nat,labeled_edges_b_nat,vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))))))
& vAPP(set_nat,$o,finite_finite_nat,vAPP(labeled_graph_b_nat,set_nat,labele460410879_b_nat,vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))))))
& ( vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v)))))) = vAPP(labeled_graph_b_nat,labeled_graph_b_nat,restrict_b_nat,vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))))) )
& vAPP(set_Pr1986765409at_nat,$o,vAPP(labeled_graph_b_nat,sTfun(set_Pr1986765409at_nat,$o),vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,sTfun(set_Pr1986765409at_nat,$o)),graph_529870330at_nat,vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc1542243159_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))))),vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc194497945_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))))),vAPP(set_nat,set_Pr1986765409at_nat,id_on_nat,vAPP(labeled_graph_b_nat,set_nat,labele460410879_b_nat,vAPP(produc1235635379_b_nat,labeled_graph_b_nat,produc1542243159_b_nat,vAPP(labeled_graph_b_nat,produc1235635379_b_nat,vAPP(labeled_graph_b_nat,sTfun(labeled_graph_b_nat,produc1235635379_b_nat),produc951298923_b_nat,vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc854192515term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))),vAPP(allegorical_term_b,labeled_graph_b_nat,translation_b,vAPP(produc1478835367term_b,allegorical_term_b,produc1223098053term_b,vAPP(allegorical_term_b,produc1478835367term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,produc1478835367term_b),produc1990145943term_b,u),vAPP(allegorical_term_b,allegorical_term_b,vAPP(allegorical_term_b,sTfun(allegorical_term_b,allegorical_term_b),allegorical_A_Int_b,u),v))))))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : ITP178^1 : TPTP v8.2.0. Released v7.5.0.
% 0.03/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32 % Computer : n010.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Sat May 18 18:23:08 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % (3505)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.37 % (3508)WARNING: value z3 for option sas not known
% 0.17/0.37 % (3511)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.17/0.37 % (3506)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.17/0.37 % (3507)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.17/0.37 % (3510)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.17/0.37 % (3508)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.17/0.37 % (3512)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.17/0.37 % (3509)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.17/0.43 % (3512)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.17/0.44 % Exception at run slice level
% 0.17/0.44 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.17/0.44 % Exception at run slice level
% 0.17/0.44 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.17/0.44 % Exception at run slice level
% 0.17/0.44 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.17/0.45 % (3513)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.17/0.45 % (3514)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.17/0.46 % (3515)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 0.17/0.51 % (3513)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.17/0.51 % (3514)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.17/0.52 % Exception at run slice level
% 0.17/0.52 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.17/0.54 % (3516)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 2.06/0.63 % (3515)First to succeed.
% 2.12/0.64 % (3515)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3505"
% 2.12/0.64 % (3515)Refutation found. Thanks to Tanya!
% 2.12/0.64 % SZS status Theorem for theBenchmark
% 2.12/0.64 % SZS output start Proof for theBenchmark
% See solution above
% 2.12/0.65 % (3515)------------------------------
% 2.12/0.65 % (3515)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.12/0.65 % (3515)Termination reason: Refutation
% 2.12/0.65
% 2.12/0.65 % (3515)Memory used [KB]: 4540
% 2.12/0.65 % (3515)Time elapsed: 0.188 s
% 2.12/0.65 % (3515)Instructions burned: 451 (million)
% 2.12/0.65 % (3505)Success in time 0.302 s
%------------------------------------------------------------------------------