%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP175^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:10:59 AM UTC 2026
% Result : Theorem 1.48s 0.56s
% Output : Refutation 1.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 68 ( 18 equ; 0 cnn)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 186 ( 8 ~; 3 |; 8 &; 164 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Number of types : 77 ( 76 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 488 ( 485 usr; 21 con; 0-4 aty)
% Number of variables : 10 ( 0 ^; 10 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
set_Pr1223907581_a_nat: $tType ).
thf(type_def_6,type,
produc588599965_a_nat: $tType ).
thf(type_def_7,type,
set_Pr1370504391_a_nat: $tType ).
thf(type_def_8,type,
produc1734972647_a_nat: $tType ).
thf(type_def_9,type,
produc1428649885_a_nat: $tType ).
thf(type_def_10,type,
set_Pr2072721159_a_nat: $tType ).
thf(type_def_11,type,
produc2106791463_a_nat: $tType ).
thf(type_def_12,type,
set_Pr2054759953_a_nat: $tType ).
thf(type_def_13,type,
set_Pr2028709629od_b_b: $tType ).
thf(type_def_14,type,
set_Pr21610864_a_nat: $tType ).
thf(type_def_15,type,
set_Pr1045675335_a_nat: $tType ).
thf(type_def_16,type,
produc1230257585_a_nat: $tType ).
thf(type_def_17,type,
produc130774173od_b_b: $tType ).
thf(type_def_18,type,
produc1942261264_a_nat: $tType ).
thf(type_def_19,type,
produc1869574247_a_nat: $tType ).
thf(type_def_20,type,
set_Pr1229594311od_b_b: $tType ).
thf(type_def_21,type,
set_Pr1391123143od_b_b: $tType ).
thf(type_def_22,type,
set_Pr2074180935_a_nat: $tType ).
thf(type_def_23,type,
produc1554726631od_b_b: $tType ).
thf(type_def_24,type,
produc300546791od_b_b: $tType ).
thf(type_def_25,type,
produc1099860071_a_nat: $tType ).
thf(type_def_26,type,
set_Pr1626978257_a_nat: $tType ).
thf(type_def_27,type,
set_Pr1549208893od_b_b: $tType ).
thf(type_def_28,type,
produc776320369_a_nat: $tType ).
thf(type_def_29,type,
produc401211613od_b_b: $tType ).
thf(type_def_30,type,
set_Pr406163591od_b_b: $tType ).
thf(type_def_31,type,
set_Pr1271557767od_b_b: $tType ).
thf(type_def_32,type,
set_Pr454079687od_b_b: $tType ).
thf(type_def_33,type,
produc1053464231od_b_b: $tType ).
thf(type_def_34,type,
produc1114535079od_b_b: $tType ).
thf(type_def_35,type,
produc1921243879od_b_b: $tType ).
thf(type_def_36,type,
set_Pr1870121716_a_nat: $tType ).
thf(type_def_37,type,
produc297983550_a_nat: $tType ).
thf(type_def_38,type,
produc759315249_a_nat: $tType ).
thf(type_def_39,type,
set_Pr963356295od_b_b: $tType ).
thf(type_def_40,type,
set_Pr352593785_a_nat: $tType ).
thf(type_def_41,type,
set_Pr1914572181_nat_b: $tType ).
thf(type_def_42,type,
labele1586099759_a_nat: $tType ).
thf(type_def_43,type,
produc1529836775od_b_b: $tType ).
thf(type_def_44,type,
produc197046951od_b_b: $tType ).
thf(type_def_45,type,
produc207618585_a_nat: $tType ).
thf(type_def_46,type,
produc1063300186_a_nat: $tType ).
thf(type_def_47,type,
set_se480333169_a_nat: $tType ).
thf(type_def_48,type,
set_Pr1912306449_a_nat: $tType ).
thf(type_def_49,type,
set_Pr773647559od_b_b: $tType ).
thf(type_def_50,type,
produc1614181008od_b_b: $tType ).
thf(type_def_51,type,
produc598811825_a_nat: $tType ).
thf(type_def_52,type,
produc51693287od_b_b: $tType ).
thf(type_def_53,type,
set_Pr2007082183od_b_b: $tType ).
thf(type_def_54,type,
produc1168037607od_b_b: $tType ).
thf(type_def_55,type,
set_Pr2010644300_a_nat: $tType ).
thf(type_def_56,type,
set_Pr471017666_nat_b: $tType ).
thf(type_def_57,type,
labele553847424_a_nat: $tType ).
thf(type_def_58,type,
produc126142486_a_nat: $tType ).
thf(type_def_59,type,
produc1248251020_nat_b: $tType ).
thf(type_def_60,type,
set_Pr621705391od_b_b: $tType ).
thf(type_def_61,type,
set_Pr1900477680od_b_b: $tType ).
thf(type_def_62,type,
set_Pr357419743_b_b_b: $tType ).
thf(type_def_63,type,
set_Pr1463111367_set_b: $tType ).
thf(type_def_64,type,
labele488176869od_b_b: $tType ).
thf(type_def_65,type,
produc255402447od_b_b: $tType ).
thf(type_def_66,type,
produc1133639312od_b_b: $tType ).
thf(type_def_67,type,
produc2112523263_b_b_b: $tType ).
thf(type_def_68,type,
set_la1108361502_a_nat: $tType ).
thf(type_def_69,type,
set_se668355239od_b_b: $tType ).
thf(type_def_70,type,
produc150548199_set_b: $tType ).
thf(type_def_71,type,
set_Pr2106913242_nat_b: $tType ).
thf(type_def_72,type,
labeled_graph_a_nat: $tType ).
thf(type_def_73,type,
set_Product_prod_b_b: $tType ).
thf(type_def_74,type,
allegorical_term_a: $tType ).
thf(type_def_75,type,
labeled_graph_a_b: $tType ).
thf(type_def_76,type,
product_prod_b_b: $tType ).
thf(type_def_77,type,
set_set_b: $tType ).
thf(type_def_78,type,
set_b: $tType ).
thf(type_def_79,type,
b: $tType ).
thf(type_def_80,type,
a: $tType ).
thf(type_def_81,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
bNF_Gr345950468_set_b: set_Product_prod_b_b > ( b > set_b ) > set_Pr1463111367_set_b ).
thf(func_def_1,type,
bNF_Gr1693995344od_b_b: ( b > product_prod_b_b ) > set_b > product_prod_b_b ).
thf(func_def_2,type,
equiv_1778431934od_b_b: set_Product_prod_b_b > ( b > product_prod_b_b ) > $o ).
thf(func_def_3,type,
equiv_281634663_a_nat: set_Pr1912306449_a_nat > set_Pr2074180935_a_nat > $o ).
thf(func_def_4,type,
equiv_1125628061od_b_b: set_Product_prod_b_b > set_Pr2007082183od_b_b > $o ).
thf(func_def_5,type,
equiv_equiv_b: set_b > set_Product_prod_b_b > $o ).
thf(func_def_6,type,
equiv_1873824970_a_nat: set_Pr2074180935_a_nat > produc598811825_a_nat > set_Pr1912306449_a_nat ).
thf(func_def_7,type,
equiv_270653002od_b_b: set_Pr2007082183od_b_b > product_prod_b_b > set_Product_prod_b_b ).
thf(func_def_8,type,
equiv_proj_b_b: set_Product_prod_b_b > b > set_b ).
thf(func_def_9,type,
equiv_1338033912_a_nat: set_Pr1912306449_a_nat > set_Pr2074180935_a_nat > set_se480333169_a_nat ).
thf(func_def_10,type,
equiv_1530858158od_b_b: set_Product_prod_b_b > set_Pr2007082183od_b_b > set_se668355239od_b_b ).
thf(func_def_11,type,
equiv_quotient_b: set_b > set_Product_prod_b_b > set_set_b ).
thf(func_def_12,type,
getRel1657740669_a_nat: a > labele553847424_a_nat > set_Pr1912306449_a_nat ).
thf(func_def_13,type,
getRel1248627292_a_nat: a > labele1586099759_a_nat > set_Pr2074180935_a_nat ).
thf(func_def_14,type,
getRel1183868946od_b_b: a > labele488176869od_b_b > set_Pr2007082183od_b_b ).
thf(func_def_15,type,
getRel_a_b: a > labeled_graph_a_b > set_Product_prod_b_b ).
thf(func_def_16,type,
semantics_a_b: labeled_graph_a_b > allegorical_term_a > set_Product_prod_b_b ).
thf(func_def_17,type,
graph_914848022_nat_b: labeled_graph_a_nat > labeled_graph_a_b > set_Pr2106913242_nat_b > $o ).
thf(func_def_18,type,
graph_23275493_nat_b: labele1586099759_a_nat > labeled_graph_a_b > set_Pr1914572181_nat_b > $o ).
thf(func_def_19,type,
graph_1322245399_a_b_b: labeled_graph_a_b > labeled_graph_a_b > set_Product_prod_b_b > $o ).
thf(func_def_20,type,
graph_union_a_b: labeled_graph_a_b > labeled_graph_a_b > labeled_graph_a_b ).
thf(func_def_21,type,
labele1171788421_a_nat: set_Pr21610864_a_nat > set_Pr1912306449_a_nat > labele1586099759_a_nat ).
thf(func_def_22,type,
labeled_LG_a_b: set_Pr1900477680od_b_b > set_b > labeled_graph_a_b ).
thf(func_def_23,type,
labeled_edges_a_b: labeled_graph_a_b > set_Pr1900477680od_b_b ).
thf(func_def_24,type,
labele953802518_a_nat: labele553847424_a_nat > set_la1108361502_a_nat ).
thf(func_def_25,type,
labele198153475_a_nat: labele1586099759_a_nat > set_Pr1912306449_a_nat ).
thf(func_def_26,type,
labele240831545od_b_b: labele488176869od_b_b > set_Product_prod_b_b ).
thf(func_def_27,type,
labeled_vertices_a_b: labeled_graph_a_b > set_b ).
thf(func_def_28,type,
on_tri232494965_a_nat: set_Pr1912306449_a_nat > set_Pr1370504391_a_nat ).
thf(func_def_29,type,
on_tri1766439058_a_nat: set_Pr1870121716_a_nat > set_Pr1223907581_a_nat ).
thf(func_def_30,type,
on_tri1706508026od_b_b: set_Pr471017666_nat_b > set_Pr2028709629od_b_b ).
thf(func_def_31,type,
on_tri1993240081at_b_a: set_Pr471017666_nat_b > set_Pr1549208893od_b_b ).
thf(func_def_32,type,
on_tri97791909od_b_b: set_Pr357419743_b_b_b > set_Pr1391123143od_b_b ).
thf(func_def_33,type,
on_tri1764442556_b_b_a: set_Pr357419743_b_b_b > set_Pr1271557767od_b_b ).
thf(func_def_34,type,
on_tri1837931688od_b_b: set_Pr2010644300_a_nat > set_Pr2054759953_a_nat ).
thf(func_def_35,type,
on_tri2117183935_nat_a: set_Pr2010644300_a_nat > set_Pr1626978257_a_nat ).
thf(func_def_36,type,
on_tri1794757026_nat_a: set_Pr352593785_a_nat > set_Pr2072721159_a_nat ).
thf(func_def_37,type,
on_tri927008213od_b_b: set_Pr621705391od_b_b > set_Pr1229594311od_b_b ).
thf(func_def_38,type,
on_tri2003683308_b_b_a: set_Pr621705391od_b_b > set_Pr406163591od_b_b ).
thf(func_def_39,type,
on_tri111564221od_b_b: set_Product_prod_b_b > set_Pr454079687od_b_b ).
thf(func_def_40,type,
on_triple_b_b_a: set_Product_prod_b_b > set_Pr963356295od_b_b ).
thf(func_def_41,type,
restri1808752350_a_nat: labele553847424_a_nat > labele553847424_a_nat ).
thf(func_def_42,type,
restri147273531_a_nat: labele1586099759_a_nat > labele1586099759_a_nat ).
thf(func_def_43,type,
restri431340145od_b_b: labele488176869od_b_b > labele488176869od_b_b ).
thf(func_def_44,type,
restrict_a_b: labeled_graph_a_b > labeled_graph_a_b ).
thf(func_def_45,type,
idempo848975736_a_nat: set_Pr1912306449_a_nat > $o ).
thf(func_def_46,type,
idempo365306145_a_nat: set_Pr2074180935_a_nat > $o ).
thf(func_def_47,type,
idempo371692375od_b_b: set_Pr2007082183od_b_b > $o ).
thf(func_def_48,type,
idempotent_b: set_Product_prod_b_b > $o ).
thf(func_def_49,type,
order_1770871027_a_nat: set_la1108361502_a_nat > set_Pr1912306449_a_nat > $o ).
thf(func_def_50,type,
order_1458491494_a_nat: set_Pr1912306449_a_nat > set_Pr2074180935_a_nat > $o ).
thf(func_def_51,type,
order_653178932r_on_b: set_b > set_Product_prod_b_b > $o ).
thf(func_def_52,type,
order_989282449_a_nat: set_la1108361502_a_nat > set_Pr1912306449_a_nat > $o ).
thf(func_def_53,type,
order_145089608_a_nat: set_Pr1912306449_a_nat > set_Pr2074180935_a_nat > $o ).
thf(func_def_54,type,
order_265664679od_b_b: set_Pr1900477680od_b_b > set_Pr963356295od_b_b > $o ).
thf(func_def_55,type,
order_1195372542od_b_b: set_Product_prod_b_b > set_Pr2007082183od_b_b > $o ).
thf(func_def_56,type,
order_640573096_a_nat: set_se480333169_a_nat > set_Pr1045675335_a_nat > $o ).
thf(func_def_57,type,
order_preorder_on_b: set_b > set_Product_prod_b_b > $o ).
thf(func_def_58,type,
bot_bo186023328_nat_o: produc598811825_a_nat > $o ).
thf(func_def_59,type,
bot_bo1302443370_b_b_o: product_prod_b_b > $o ).
thf(func_def_60,type,
bot_bo1119737266_a_nat: set_la1108361502_a_nat ).
thf(func_def_61,type,
bot_bo2066531197_a_nat: set_Pr1912306449_a_nat ).
thf(func_def_62,type,
bot_bo1803599795_a_nat: set_Pr2074180935_a_nat ).
thf(func_def_63,type,
bot_bo1936722433_nat_b: set_Pr1914572181_nat_b ).
thf(func_def_64,type,
bot_bo896299827_a_nat: set_Pr1370504391_a_nat ).
thf(func_def_65,type,
bot_bo1856908531od_b_b: set_Pr963356295od_b_b ).
thf(func_def_66,type,
bot_bo1174586163od_b_b: set_Pr2007082183od_b_b ).
thf(func_def_67,type,
bot_bo2142478259_a_nat: set_Pr1045675335_a_nat ).
thf(func_def_68,type,
bot_bo1463793628_a_nat: set_Pr21610864_a_nat ).
thf(func_def_69,type,
bot_bo519661404od_b_b: set_Pr1900477680od_b_b ).
thf(func_def_70,type,
bot_bo1343651123od_b_b: set_Product_prod_b_b ).
thf(func_def_71,type,
bot_bo1746593245_a_nat: set_se480333169_a_nat ).
thf(func_def_72,type,
bot_bot_set_b: set_b ).
thf(func_def_73,type,
ord_le1374266033_a_nat: set_Pr1912306449_a_nat > set_Pr1912306449_a_nat > $o ).
thf(func_def_74,type,
ord_le1484132922_nat_b: set_Pr2106913242_nat_b > set_Pr2106913242_nat_b > $o ).
thf(func_def_75,type,
ord_le2142668391_set_b: set_Pr1463111367_set_b > set_Pr1463111367_set_b > $o ).
thf(func_def_76,type,
ord_le887919760od_b_b: set_Pr1900477680od_b_b > set_Pr1900477680od_b_b > $o ).
thf(func_def_77,type,
ord_le1036320359od_b_b: set_Product_prod_b_b > set_Product_prod_b_b > $o ).
thf(func_def_78,type,
ord_less_eq_set_b: set_b > set_b > $o ).
thf(func_def_79,type,
produc2000589545_a_nat: labeled_graph_a_nat > labeled_graph_a_nat > produc598811825_a_nat ).
thf(func_def_80,type,
produc2092742640_a_nat: labeled_graph_a_nat > produc598811825_a_nat > produc297983550_a_nat ).
thf(func_def_81,type,
produc1600512702_nat_b: labeled_graph_a_nat > b > produc1248251020_nat_b ).
thf(func_def_82,type,
produc410388695_a_nat: produc598811825_a_nat > produc598811825_a_nat > produc1099860071_a_nat ).
thf(func_def_83,type,
produc639906189_a_nat: produc598811825_a_nat > produc1099860071_a_nat > produc1428649885_a_nat ).
thf(func_def_84,type,
produc404908887_a_nat: produc1099860071_a_nat > produc1099860071_a_nat > produc1734972647_a_nat ).
thf(func_def_85,type,
produc1645191821_a_nat: produc1099860071_a_nat > produc1428649885_a_nat > produc588599965_a_nat ).
thf(func_def_86,type,
produc926922637od_b_b: produc759315249_a_nat > produc1168037607od_b_b > produc130774173od_b_b ).
thf(func_def_87,type,
produc885982551od_b_b: produc1529836775od_b_b > produc1168037607od_b_b > produc300546791od_b_b ).
thf(func_def_88,type,
produc1783652257_a_nat: produc1168037607od_b_b > produc759315249_a_nat > produc1230257585_a_nat ).
thf(func_def_89,type,
produc962089303od_b_b: produc1168037607od_b_b > produc1529836775od_b_b > produc1554726631od_b_b ).
thf(func_def_90,type,
produc1403229015od_b_b: produc1168037607od_b_b > produc1168037607od_b_b > produc1921243879od_b_b ).
thf(func_def_91,type,
produc179745357od_b_b: produc1063300186_a_nat > produc1133639312od_b_b > produc401211613od_b_b ).
thf(func_def_92,type,
produc1116925335od_b_b: produc1614181008od_b_b > produc1133639312od_b_b > produc1114535079od_b_b ).
thf(func_def_93,type,
produc966067681_a_nat: produc1133639312od_b_b > produc1063300186_a_nat > produc776320369_a_nat ).
thf(func_def_94,type,
produc797892631_a_nat: produc1133639312od_b_b > produc1942261264_a_nat > produc2106791463_a_nat ).
thf(func_def_95,type,
produc789452695od_b_b: produc1133639312od_b_b > produc1614181008od_b_b > produc1053464231od_b_b ).
thf(func_def_96,type,
produc1037687191od_b_b: produc1133639312od_b_b > produc1133639312od_b_b > produc197046951od_b_b ).
thf(func_def_97,type,
produc90796321_a_nat: product_prod_b_b > produc598811825_a_nat > produc759315249_a_nat ).
thf(func_def_98,type,
produc1850071895od_b_b: product_prod_b_b > produc1168037607od_b_b > produc1529836775od_b_b ).
thf(func_def_99,type,
produc546497367od_b_b: product_prod_b_b > product_prod_b_b > produc1168037607od_b_b ).
thf(func_def_100,type,
produc1001682799_b_b_b: product_prod_b_b > b > produc2112523263_b_b_b ).
thf(func_def_101,type,
produc1767291095_a_nat: set_Pr1912306449_a_nat > set_Pr1912306449_a_nat > produc1869574247_a_nat ).
thf(func_def_102,type,
produc1027169111od_b_b: set_Product_prod_b_b > set_Product_prod_b_b > produc51693287od_b_b ).
thf(func_def_103,type,
produc1403713879_set_b: set_b > set_b > produc150548199_set_b ).
thf(func_def_104,type,
produc1110849866_a_nat: a > produc598811825_a_nat > produc1063300186_a_nat ).
thf(func_def_105,type,
produc1904940160_a_nat: a > produc1099860071_a_nat > produc1942261264_a_nat ).
thf(func_def_106,type,
produc690925568od_b_b: a > produc1168037607od_b_b > produc1614181008od_b_b ).
thf(func_def_107,type,
produc2135284224od_b_b: a > product_prod_b_b > produc1133639312od_b_b ).
thf(func_def_108,type,
produc1311571856_a_nat: b > labeled_graph_a_nat > produc126142486_a_nat ).
thf(func_def_109,type,
produc255168265_a_nat: b > produc598811825_a_nat > produc207618585_a_nat ).
thf(func_def_110,type,
produc1257047359od_b_b: b > product_prod_b_b > produc255402447od_b_b ).
thf(func_def_111,type,
product_Pair_b_b: b > b > product_prod_b_b ).
thf(func_def_112,type,
id_on_1401723275_a_nat: set_la1108361502_a_nat > set_Pr1912306449_a_nat ).
thf(func_def_113,type,
id_on_1649591758_a_nat: set_Pr1912306449_a_nat > set_Pr2074180935_a_nat ).
thf(func_def_114,type,
id_on_2019020932od_b_b: set_Product_prod_b_b > set_Pr2007082183od_b_b ).
thf(func_def_115,type,
id_on_set_b: set_set_b > set_Pr1463111367_set_b ).
thf(func_def_116,type,
id_on_b: set_b > set_Product_prod_b_b ).
thf(func_def_117,type,
refl_o1018941609_a_nat: set_la1108361502_a_nat > set_Pr1912306449_a_nat > $o ).
thf(func_def_118,type,
refl_o206400048_a_nat: set_Pr1912306449_a_nat > set_Pr2074180935_a_nat > $o ).
thf(func_def_119,type,
refl_o2093460070_a_nat: set_Pr2074180935_a_nat > set_Pr1370504391_a_nat > $o ).
thf(func_def_120,type,
refl_o1941611494od_b_b: set_Pr2007082183od_b_b > set_Pr454079687od_b_b > $o ).
thf(func_def_121,type,
refl_o686103183od_b_b: set_Pr1900477680od_b_b > set_Pr963356295od_b_b > $o ).
thf(func_def_122,type,
refl_o2134473190od_b_b: set_Product_prod_b_b > set_Pr2007082183od_b_b > $o ).
thf(func_def_123,type,
refl_o730481808_a_nat: set_se480333169_a_nat > set_Pr1045675335_a_nat > $o ).
thf(func_def_124,type,
refl_o1899808198od_b_b: set_se668355239od_b_b > set_Pr773647559od_b_b > $o ).
thf(func_def_125,type,
refl_on_set_b: set_set_b > set_Pr1463111367_set_b > $o ).
thf(func_def_126,type,
refl_on_b: set_b > set_Product_prod_b_b > $o ).
thf(func_def_127,type,
sym_b: set_Product_prod_b_b > $o ).
thf(func_def_128,type,
total_6094180_a_nat: set_la1108361502_a_nat > set_Pr1912306449_a_nat > $o ).
thf(func_def_129,type,
total_2145009205_a_nat: set_Pr1912306449_a_nat > set_Pr2074180935_a_nat > $o ).
thf(func_def_130,type,
total_178717291od_b_b: set_Product_prod_b_b > set_Pr2007082183od_b_b > $o ).
thf(func_def_131,type,
total_on_b: set_b > set_Product_prod_b_b > $o ).
thf(func_def_132,type,
trans_1002055497_a_nat: set_Pr1912306449_a_nat > $o ).
thf(func_def_133,type,
trans_444496784_a_nat: set_Pr2074180935_a_nat > $o ).
thf(func_def_134,type,
trans_1808857926od_b_b: set_Pr2007082183od_b_b > $o ).
thf(func_def_135,type,
trans_b: set_Product_prod_b_b > $o ).
thf(func_def_136,type,
conseq1058228089_nat_b: set_Pr1912306449_a_nat > labeled_graph_a_b > $o ).
thf(func_def_137,type,
extensible_a_nat_b: produc598811825_a_nat > labeled_graph_a_b > set_Pr2106913242_nat_b > $o ).
thf(func_def_138,type,
fin_ma603645735_nat_b: produc598811825_a_nat > labeled_graph_a_b > $o ).
thf(func_def_139,type,
mainta535344367_a_nat: produc598811825_a_nat > labele553847424_a_nat > $o ).
thf(func_def_140,type,
mainta1627462506_a_nat: produc598811825_a_nat > labele1586099759_a_nat > $o ).
thf(func_def_141,type,
mainta552012832od_b_b: produc598811825_a_nat > labele488176869od_b_b > $o ).
thf(func_def_142,type,
maintained_a_nat_b: produc598811825_a_nat > labeled_graph_a_b > $o ).
thf(func_def_143,type,
collec978177436_a_nat: ( produc598811825_a_nat > $o ) > set_Pr1912306449_a_nat ).
thf(func_def_144,type,
collec1231052114od_b_b: ( produc1168037607od_b_b > $o ) > set_Pr2007082183od_b_b ).
thf(func_def_145,type,
collec1481886546od_b_b: ( product_prod_b_b > $o ) > set_Product_prod_b_b ).
thf(func_def_146,type,
collec971438076_a_nat: ( set_Pr1912306449_a_nat > $o ) > set_se480333169_a_nat ).
thf(func_def_147,type,
collec1543202610od_b_b: ( set_Product_prod_b_b > $o ) > set_se668355239od_b_b ).
thf(func_def_148,type,
collect_set_b: ( set_b > $o ) > set_set_b ).
thf(func_def_149,type,
collect_b: ( b > $o ) > set_b ).
thf(func_def_150,type,
insert1337853464_a_nat: labeled_graph_a_nat > set_la1108361502_a_nat > set_la1108361502_a_nat ).
thf(func_def_151,type,
insert2058869377_a_nat: produc598811825_a_nat > set_Pr1912306449_a_nat > set_Pr1912306449_a_nat ).
thf(func_def_152,type,
insert354391607_a_nat: produc1099860071_a_nat > set_Pr2074180935_a_nat > set_Pr2074180935_a_nat ).
thf(func_def_153,type,
insert1772835511_a_nat: produc1734972647_a_nat > set_Pr1370504391_a_nat > set_Pr1370504391_a_nat ).
thf(func_def_154,type,
insert428421239od_b_b: produc197046951od_b_b > set_Pr963356295od_b_b > set_Pr963356295od_b_b ).
thf(func_def_155,type,
insert1098249399od_b_b: produc1168037607od_b_b > set_Pr2007082183od_b_b > set_Pr2007082183od_b_b ).
thf(func_def_156,type,
insert885128759_a_nat: produc1869574247_a_nat > set_Pr1045675335_a_nat > set_Pr1045675335_a_nat ).
thf(func_def_157,type,
insert1655137376od_b_b: produc1133639312od_b_b > set_Pr1900477680od_b_b > set_Pr1900477680od_b_b ).
thf(func_def_158,type,
insert1952693431od_b_b: product_prod_b_b > set_Product_prod_b_b > set_Product_prod_b_b ).
thf(func_def_159,type,
insert1220735201_a_nat: set_Pr1912306449_a_nat > set_se480333169_a_nat > set_se480333169_a_nat ).
thf(func_def_160,type,
insert_b: b > set_b > set_b ).
thf(func_def_161,type,
is_emp1506632323_a_nat: set_Pr1912306449_a_nat > $o ).
thf(func_def_162,type,
is_sin1787449765_a_nat: set_Pr1912306449_a_nat > $o ).
thf(func_def_163,type,
is_sin1713057243od_b_b: set_Product_prod_b_b > $o ).
thf(func_def_164,type,
the_el537460006_a_nat: set_Pr1912306449_a_nat > produc598811825_a_nat ).
thf(func_def_165,type,
standa414753934rule_a: a > a > produc598811825_a_nat ).
thf(func_def_166,type,
standa879863265rule_a: produc598811825_a_nat ).
thf(func_def_167,type,
standa1329480012rule_a: a > produc598811825_a_nat ).
thf(func_def_168,type,
standa709637829rule_a: a > produc598811825_a_nat ).
thf(func_def_169,type,
standa390703484rule_a: a > produc598811825_a_nat ).
thf(func_def_170,type,
same_fst_b_b: ( b > $o ) > ( b > set_Product_prod_b_b ) > set_Pr2007082183od_b_b ).
thf(func_def_171,type,
member154916863_a_nat: labeled_graph_a_nat > set_la1108361502_a_nat > $o ).
thf(func_def_172,type,
member327031898_a_nat: produc598811825_a_nat > set_Pr1912306449_a_nat > $o ).
thf(func_def_173,type,
member2103088853_a_nat: produc297983550_a_nat > set_Pr1870121716_a_nat > $o ).
thf(func_def_174,type,
member1885627811_nat_b: produc1248251020_nat_b > set_Pr471017666_nat_b > $o ).
thf(func_def_175,type,
member1542696848_a_nat: produc1099860071_a_nat > set_Pr2074180935_a_nat > $o ).
thf(func_def_176,type,
member121756432_a_nat: produc1734972647_a_nat > set_Pr1370504391_a_nat > $o ).
thf(func_def_177,type,
member428378182_a_nat: produc588599965_a_nat > set_Pr1223907581_a_nat > $o ).
thf(func_def_178,type,
member670041670od_b_b: produc130774173od_b_b > set_Pr2028709629od_b_b > $o ).
thf(func_def_179,type,
member178477328od_b_b: produc300546791od_b_b > set_Pr1391123143od_b_b > $o ).
thf(func_def_180,type,
member1769525082_a_nat: produc1230257585_a_nat > set_Pr2054759953_a_nat > $o ).
thf(func_def_181,type,
member1432657168od_b_b: produc1554726631od_b_b > set_Pr1229594311od_b_b > $o ).
thf(func_def_182,type,
member1829919504od_b_b: produc1921243879od_b_b > set_Pr454079687od_b_b > $o ).
thf(func_def_183,type,
member442676358od_b_b: produc401211613od_b_b > set_Pr1549208893od_b_b > $o ).
thf(func_def_184,type,
member1023210704od_b_b: produc1114535079od_b_b > set_Pr1271557767od_b_b > $o ).
thf(func_def_185,type,
member817785114_a_nat: produc776320369_a_nat > set_Pr1626978257_a_nat > $o ).
thf(func_def_186,type,
member1379268944_a_nat: produc2106791463_a_nat > set_Pr2072721159_a_nat > $o ).
thf(func_def_187,type,
member962139856od_b_b: produc1053464231od_b_b > set_Pr406163591od_b_b > $o ).
thf(func_def_188,type,
member1694913744od_b_b: produc197046951od_b_b > set_Pr963356295od_b_b > $o ).
thf(func_def_189,type,
member1652792080od_b_b: produc1168037607od_b_b > set_Pr2007082183od_b_b > $o ).
thf(func_def_190,type,
member351494440_b_b_b: produc2112523263_b_b_b > set_Pr357419743_b_b_b > $o ).
thf(func_def_191,type,
member1072844688_a_nat: produc1869574247_a_nat > set_Pr1045675335_a_nat > $o ).
thf(func_def_192,type,
member1009730320od_b_b: produc51693287od_b_b > set_Pr773647559od_b_b > $o ).
thf(func_def_193,type,
member1199885584_set_b: produc150548199_set_b > set_Pr1463111367_set_b > $o ).
thf(func_def_194,type,
member763519277_a_nat: produc126142486_a_nat > set_Pr2010644300_a_nat > $o ).
thf(func_def_195,type,
member692218050_a_nat: produc207618585_a_nat > set_Pr352593785_a_nat > $o ).
thf(func_def_196,type,
member641857272od_b_b: produc255402447od_b_b > set_Pr621705391od_b_b > $o ).
thf(func_def_197,type,
member1285940496od_b_b: product_prod_b_b > set_Product_prod_b_b > $o ).
thf(func_def_198,type,
member101535418_a_nat: set_Pr1912306449_a_nat > set_se480333169_a_nat > $o ).
thf(func_def_199,type,
member1050118384od_b_b: set_Product_prod_b_b > set_se668355239od_b_b > $o ).
thf(func_def_200,type,
member_set_b: set_b > set_set_b > $o ).
thf(func_def_201,type,
member_b: b > set_b > $o ).
thf(func_def_202,type,
g: labeled_graph_a_b ).
thf(func_def_203,type,
i: a ).
thf(func_def_204,type,
l: a ).
thf(func_def_205,type,
y: b ).
thf(func_def_206,type,
z: b ).
thf(func_def_210,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_211,type,
vAND: $o > $o > $o ).
thf(func_def_212,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_213,type,
vIMP: $o > $o > $o ).
thf(func_def_214,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_215,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_216,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_217,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_218,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_219,type,
vNOT: $o > $o ).
thf(func_def_220,type,
vOR: $o > $o > $o ).
thf(func_def_221,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_222,type,
sK0: produc598811825_a_nat > labeled_graph_a_nat ).
thf(func_def_223,type,
sK1: produc598811825_a_nat > labeled_graph_a_nat ).
thf(func_def_224,type,
sK2: produc1168037607od_b_b > product_prod_b_b ).
thf(func_def_225,type,
sK3: produc1168037607od_b_b > product_prod_b_b ).
thf(func_def_226,type,
sK4: produc1099860071_a_nat > produc598811825_a_nat ).
thf(func_def_227,type,
sK5: produc1099860071_a_nat > produc598811825_a_nat ).
thf(func_def_228,type,
sK6: produc1133639312od_b_b > a ).
thf(func_def_229,type,
sK7: produc1133639312od_b_b > product_prod_b_b ).
thf(func_def_230,type,
sK8: product_prod_b_b > b ).
thf(func_def_231,type,
sK9: product_prod_b_b > b ).
thf(func_def_232,type,
sK10: ( produc598811825_a_nat > $o ) > labeled_graph_a_nat ).
thf(func_def_233,type,
sK11: ( produc598811825_a_nat > $o ) > labeled_graph_a_nat ).
thf(func_def_234,type,
sK12: ( produc1168037607od_b_b > $o ) > product_prod_b_b ).
thf(func_def_235,type,
sK13: ( produc1168037607od_b_b > $o ) > product_prod_b_b ).
thf(func_def_236,type,
sK14: ( produc1099860071_a_nat > $o ) > produc598811825_a_nat ).
thf(func_def_237,type,
sK15: ( produc1099860071_a_nat > $o ) > produc598811825_a_nat ).
thf(func_def_238,type,
sK16: ( produc1133639312od_b_b > $o ) > a ).
thf(func_def_239,type,
sK17: ( produc1133639312od_b_b > $o ) > product_prod_b_b ).
thf(func_def_240,type,
sK18: ( product_prod_b_b > $o ) > b ).
thf(func_def_241,type,
sK19: ( product_prod_b_b > $o ) > b ).
thf(func_def_242,type,
sK20: produc1168037607od_b_b > product_prod_b_b ).
thf(func_def_243,type,
sK21: produc1168037607od_b_b > b ).
thf(func_def_244,type,
sK22: produc1168037607od_b_b > b ).
thf(func_def_245,type,
sK23: produc1099860071_a_nat > produc598811825_a_nat ).
thf(func_def_246,type,
sK24: produc1099860071_a_nat > labeled_graph_a_nat ).
thf(func_def_247,type,
sK25: produc1099860071_a_nat > labeled_graph_a_nat ).
thf(func_def_248,type,
sK26: produc1133639312od_b_b > a ).
thf(func_def_249,type,
sK27: produc1133639312od_b_b > b ).
thf(func_def_250,type,
sK28: produc1133639312od_b_b > b ).
thf(func_def_251,type,
sK29: ( produc598811825_a_nat > $o ) > labeled_graph_a_nat ).
thf(func_def_252,type,
sK30: ( produc598811825_a_nat > $o ) > labeled_graph_a_nat ).
thf(func_def_253,type,
sK31: ( produc1168037607od_b_b > $o ) > product_prod_b_b ).
thf(func_def_254,type,
sK32: ( produc1168037607od_b_b > $o ) > product_prod_b_b ).
thf(func_def_255,type,
sK33: ( produc1099860071_a_nat > $o ) > produc598811825_a_nat ).
thf(func_def_256,type,
sK34: ( produc1099860071_a_nat > $o ) > produc598811825_a_nat ).
thf(func_def_257,type,
sK35: ( produc1133639312od_b_b > $o ) > a ).
thf(func_def_258,type,
sK36: ( produc1133639312od_b_b > $o ) > product_prod_b_b ).
thf(func_def_259,type,
sK37: ( product_prod_b_b > $o ) > b ).
thf(func_def_260,type,
sK38: ( product_prod_b_b > $o ) > b ).
thf(func_def_261,type,
sK39: produc598811825_a_nat > labeled_graph_a_nat ).
thf(func_def_262,type,
sK40: produc598811825_a_nat > labeled_graph_a_nat ).
thf(func_def_263,type,
sK41: produc1168037607od_b_b > product_prod_b_b ).
thf(func_def_264,type,
sK42: produc1168037607od_b_b > product_prod_b_b ).
thf(func_def_265,type,
sK43: produc1099860071_a_nat > produc598811825_a_nat ).
thf(func_def_266,type,
sK44: produc1099860071_a_nat > produc598811825_a_nat ).
thf(func_def_267,type,
sK45: produc1133639312od_b_b > a ).
thf(func_def_268,type,
sK46: produc1133639312od_b_b > product_prod_b_b ).
thf(func_def_269,type,
sK47: product_prod_b_b > b ).
thf(func_def_270,type,
sK48: product_prod_b_b > b ).
thf(func_def_271,type,
sK49: ( produc1168037607od_b_b > $o ) > product_prod_b_b ).
thf(func_def_272,type,
sK50: ( produc1168037607od_b_b > $o ) > b ).
thf(func_def_273,type,
sK51: ( produc1168037607od_b_b > $o ) > b ).
thf(func_def_274,type,
sK52: ( produc1099860071_a_nat > $o ) > produc598811825_a_nat ).
thf(func_def_275,type,
sK53: ( produc1099860071_a_nat > $o ) > labeled_graph_a_nat ).
thf(func_def_276,type,
sK54: ( produc1099860071_a_nat > $o ) > labeled_graph_a_nat ).
thf(func_def_277,type,
sK55: ( produc1133639312od_b_b > $o ) > a ).
thf(func_def_278,type,
sK56: ( produc1133639312od_b_b > $o ) > b ).
thf(func_def_279,type,
sK57: ( produc1133639312od_b_b > $o ) > b ).
thf(func_def_280,type,
sK58: set_Pr1912306449_a_nat > labeled_graph_a_nat ).
thf(func_def_281,type,
sK59: set_Pr1912306449_a_nat > labeled_graph_a_nat ).
thf(func_def_282,type,
sK60: set_Pr1912306449_a_nat > labeled_graph_a_nat ).
thf(func_def_283,type,
sK61: set_Pr2007082183od_b_b > product_prod_b_b ).
thf(func_def_284,type,
sK62: set_Pr2007082183od_b_b > product_prod_b_b ).
thf(func_def_285,type,
sK63: set_Pr2007082183od_b_b > product_prod_b_b ).
thf(func_def_286,type,
sK64: set_Pr2074180935_a_nat > produc598811825_a_nat ).
thf(func_def_287,type,
sK65: set_Pr2074180935_a_nat > produc598811825_a_nat ).
thf(func_def_288,type,
sK66: set_Pr2074180935_a_nat > produc598811825_a_nat ).
thf(func_def_289,type,
sK67: set_Product_prod_b_b > b ).
thf(func_def_290,type,
sK68: set_Product_prod_b_b > b ).
thf(func_def_291,type,
sK69: set_Product_prod_b_b > b ).
thf(func_def_292,type,
sK70: a > labele1586099759_a_nat > produc598811825_a_nat ).
thf(func_def_293,type,
sK71: a > labele488176869od_b_b > produc598811825_a_nat ).
thf(func_def_294,type,
sK72: a > labeled_graph_a_b > produc598811825_a_nat ).
thf(func_def_295,type,
sK73: ( product_prod_b_b > $o ) > ( product_prod_b_b > $o ) > product_prod_b_b ).
thf(func_def_296,type,
sK74: ( produc598811825_a_nat > $o ) > ( produc598811825_a_nat > $o ) > produc598811825_a_nat ).
thf(func_def_297,type,
sK75: set_Product_prod_b_b > product_prod_b_b ).
thf(func_def_298,type,
sK76: set_Pr1912306449_a_nat > produc598811825_a_nat ).
thf(func_def_299,type,
sK77: set_Pr1912306449_a_nat > produc598811825_a_nat > set_Pr1912306449_a_nat ).
thf(func_def_300,type,
sK78: set_Product_prod_b_b > product_prod_b_b > set_Product_prod_b_b ).
thf(func_def_301,type,
sK79: set_Pr1912306449_a_nat > produc598811825_a_nat > set_Pr1912306449_a_nat ).
thf(func_def_302,type,
sK80: set_Product_prod_b_b > product_prod_b_b > set_Product_prod_b_b ).
thf(func_def_303,type,
sK81: set_Product_prod_b_b > b ).
thf(func_def_304,type,
sK82: set_Product_prod_b_b > b ).
thf(func_def_305,type,
sK83: set_Pr2007082183od_b_b > set_Product_prod_b_b > product_prod_b_b ).
thf(func_def_306,type,
sK84: set_Pr2007082183od_b_b > set_Product_prod_b_b > product_prod_b_b ).
thf(func_def_307,type,
sK85: set_Product_prod_b_b > set_b > b ).
thf(func_def_308,type,
sK86: set_Product_prod_b_b > set_b > b ).
thf(func_def_309,type,
sK87: set_Product_prod_b_b > product_prod_b_b ).
thf(func_def_310,type,
sK88: set_Product_prod_b_b > product_prod_b_b ).
thf(func_def_311,type,
sK89: set_Pr1912306449_a_nat > produc598811825_a_nat ).
thf(func_def_312,type,
sK90: set_Pr1912306449_a_nat > produc598811825_a_nat ).
thf(func_def_313,type,
sK91: set_Pr1912306449_a_nat > produc598811825_a_nat ).
thf(func_def_314,type,
sK92: labeled_graph_a_nat > labeled_graph_a_b > labeled_graph_a_nat > set_Pr2106913242_nat_b ).
thf(func_def_315,type,
sK93: set_Product_prod_b_b > set_Product_prod_b_b > product_prod_b_b ).
thf(func_def_316,type,
sK94: set_Product_prod_b_b > produc1168037607od_b_b > product_prod_b_b ).
thf(func_def_317,type,
sK95: set_b > product_prod_b_b > b ).
thf(func_def_318,type,
sK96: set_Product_prod_b_b > set_Product_prod_b_b > b ).
thf(func_def_319,type,
sK97: set_Product_prod_b_b > set_Product_prod_b_b > b ).
thf(func_def_320,type,
sK98: set_Pr2106913242_nat_b > labeled_graph_a_b > labeled_graph_a_nat > set_Pr2106913242_nat_b ).
thf(func_def_321,type,
sK99: set_Product_prod_b_b > product_prod_b_b ).
thf(func_def_322,type,
sK100: set_Pr1912306449_a_nat > produc598811825_a_nat ).
thf(func_def_323,type,
sK101: set_Product_prod_b_b > ( b > product_prod_b_b ) > set_b > b ).
thf(func_def_324,type,
sK102: set_Product_prod_b_b > b ).
thf(func_def_325,type,
sK103: set_Product_prod_b_b > b ).
thf(func_def_326,type,
sK104: set_Product_prod_b_b > b ).
thf(func_def_327,type,
sK105: set_Product_prod_b_b > b ).
thf(func_def_328,type,
sK106: set_Product_prod_b_b > b ).
thf(func_def_329,type,
sK107: set_Product_prod_b_b > b ).
thf(func_def_330,type,
sK108: set_Product_prod_b_b > b ).
thf(func_def_331,type,
sK109: set_Product_prod_b_b > b ).
thf(func_def_332,type,
sK110: set_Product_prod_b_b > b ).
thf(func_def_333,type,
sK111: set_Product_prod_b_b > b ).
thf(func_def_334,type,
sK112: set_Product_prod_b_b > b ).
thf(func_def_335,type,
sK113: set_Product_prod_b_b > b ).
thf(func_def_336,type,
sK114: set_Product_prod_b_b > b ).
thf(func_def_337,type,
sK115: set_Product_prod_b_b > b ).
thf(func_def_338,type,
sK116: set_Product_prod_b_b > b ).
thf(func_def_339,type,
sK117: set_Product_prod_b_b > set_Product_prod_b_b > product_prod_b_b ).
thf(func_def_340,type,
sK118: set_Product_prod_b_b > b ).
thf(func_def_341,type,
sK119: set_Product_prod_b_b > b ).
thf(func_def_342,type,
sK120: set_Product_prod_b_b > b ).
thf(func_def_343,type,
sK121: set_Product_prod_b_b > b ).
thf(func_def_344,type,
sK122: set_Product_prod_b_b > b ).
thf(func_def_345,type,
sK123: set_Product_prod_b_b > b ).
thf(func_def_346,type,
sK124: set_Product_prod_b_b > b ).
thf(func_def_347,type,
sK125: set_Product_prod_b_b > b ).
thf(func_def_348,type,
sK126: set_Product_prod_b_b > b ).
thf(func_def_349,type,
sK127: set_Product_prod_b_b > b ).
thf(func_def_350,type,
sK128: set_Product_prod_b_b > b ).
thf(func_def_351,type,
sK129: set_Product_prod_b_b > b ).
thf(func_def_352,type,
sK130: set_Product_prod_b_b > b ).
thf(func_def_353,type,
sK131: set_Product_prod_b_b > b ).
thf(func_def_354,type,
sK132: set_Product_prod_b_b > b ).
thf(func_def_355,type,
sK133: set_Product_prod_b_b > b ).
thf(func_def_356,type,
sK134: set_Product_prod_b_b > b ).
thf(func_def_357,type,
sK135: set_Product_prod_b_b > b ).
thf(func_def_358,type,
sK136: set_Product_prod_b_b > b ).
thf(func_def_359,type,
sK137: set_Product_prod_b_b > b ).
thf(func_def_360,type,
sK138: set_Product_prod_b_b > b ).
thf(func_def_361,type,
sK139: set_Product_prod_b_b > b ).
thf(func_def_362,type,
sK140: set_Product_prod_b_b > b ).
thf(func_def_363,type,
sK141: set_Product_prod_b_b > b ).
thf(func_def_364,type,
sK142: set_Product_prod_b_b > b ).
thf(func_def_365,type,
sK143: set_Product_prod_b_b > set_Product_prod_b_b > product_prod_b_b ).
thf(func_def_366,type,
sK144: set_Product_prod_b_b > set_Product_prod_b_b > product_prod_b_b ).
thf(func_def_367,type,
sK145: set_Product_prod_b_b > set_Product_prod_b_b > product_prod_b_b ).
thf(func_def_368,type,
sK146: set_Product_prod_b_b > product_prod_b_b > set_Product_prod_b_b > product_prod_b_b ).
thf(func_def_369,type,
sK147: set_Product_prod_b_b > product_prod_b_b > set_Product_prod_b_b > product_prod_b_b ).
thf(func_def_370,type,
sK148: set_Product_prod_b_b > product_prod_b_b > set_Product_prod_b_b > product_prod_b_b ).
thf(func_def_371,type,
sK149: set_Product_prod_b_b > set_Product_prod_b_b > product_prod_b_b ).
thf(func_def_372,type,
sK150: set_Product_prod_b_b > b ).
thf(func_def_373,type,
sK151: set_Product_prod_b_b > b ).
thf(func_def_374,type,
sK152: set_Product_prod_b_b > b ).
thf(func_def_375,type,
sK153: set_Product_prod_b_b > b ).
thf(func_def_376,type,
sK154: set_Product_prod_b_b > b ).
thf(func_def_377,type,
sK155: set_Product_prod_b_b > b ).
thf(func_def_378,type,
sK156: set_Product_prod_b_b > b ).
thf(func_def_379,type,
sK157: set_Product_prod_b_b > b ).
thf(func_def_380,type,
sK158: set_Product_prod_b_b > b ).
thf(func_def_381,type,
sK159: set_Product_prod_b_b > b ).
thf(func_def_382,type,
sK160: set_Product_prod_b_b > b ).
thf(func_def_383,type,
sK161: set_Product_prod_b_b > b ).
thf(func_def_384,type,
sK162: set_Product_prod_b_b > b ).
thf(func_def_385,type,
sK163: set_Product_prod_b_b > b ).
thf(func_def_386,type,
sK164: set_Product_prod_b_b > b ).
thf(func_def_387,type,
sK165: set_Product_prod_b_b > b ).
thf(func_def_388,type,
sK166: set_Product_prod_b_b > b ).
thf(func_def_389,type,
sK167: set_Product_prod_b_b > b ).
thf(func_def_390,type,
sK168: set_Product_prod_b_b > b ).
thf(func_def_391,type,
sK169: set_Product_prod_b_b > b ).
thf(func_def_392,type,
sK170: set_Product_prod_b_b > b ).
thf(func_def_393,type,
sK171: set_Product_prod_b_b > b ).
thf(func_def_394,type,
sK172: set_Product_prod_b_b > b ).
thf(func_def_395,type,
sK173: set_Product_prod_b_b > b ).
thf(func_def_396,type,
sK174: set_Product_prod_b_b > b ).
thf(func_def_397,type,
sK175: set_Product_prod_b_b > b ).
thf(func_def_398,type,
sK176: set_Product_prod_b_b > b ).
thf(func_def_399,type,
sK177: set_Product_prod_b_b > b ).
thf(func_def_400,type,
sK178: set_Product_prod_b_b > b ).
thf(func_def_401,type,
sK179: set_Product_prod_b_b > b ).
thf(func_def_402,type,
sK180: set_Product_prod_b_b > b ).
thf(func_def_403,type,
sK181: set_Product_prod_b_b > b ).
thf(func_def_404,type,
sK182: set_Product_prod_b_b > b ).
thf(func_def_405,type,
sK183: set_Product_prod_b_b > b ).
thf(func_def_406,type,
sK184: set_Product_prod_b_b > b ).
thf(func_def_407,type,
sK185: set_Product_prod_b_b > b ).
thf(func_def_408,type,
sK186: set_Product_prod_b_b > b ).
thf(func_def_409,type,
sK187: set_Product_prod_b_b > b ).
thf(func_def_410,type,
sK188: set_Product_prod_b_b > b ).
thf(func_def_411,type,
sK189: set_Product_prod_b_b > b ).
thf(func_def_412,type,
sK190: set_Product_prod_b_b > b ).
thf(func_def_413,type,
sK191: set_Product_prod_b_b > b ).
thf(func_def_414,type,
sK192: set_Product_prod_b_b > b ).
thf(func_def_415,type,
sK193: set_Product_prod_b_b > b ).
thf(func_def_416,type,
sK194: set_Product_prod_b_b > b ).
thf(func_def_417,type,
sK195: set_Product_prod_b_b > b ).
thf(func_def_418,type,
sK196: set_Product_prod_b_b > b ).
thf(func_def_419,type,
sK197: set_Product_prod_b_b > b ).
thf(func_def_420,type,
sK198: set_Product_prod_b_b > b ).
thf(func_def_421,type,
sK199: set_Product_prod_b_b > b ).
thf(func_def_422,type,
sK200: set_Product_prod_b_b > b ).
thf(func_def_423,type,
sK201: set_Product_prod_b_b > b ).
thf(func_def_424,type,
sK202: set_Product_prod_b_b > b ).
thf(func_def_425,type,
sK203: set_Product_prod_b_b > b ).
thf(func_def_426,type,
sK204: set_Product_prod_b_b > b ).
thf(func_def_427,type,
sK205: set_Product_prod_b_b > b ).
thf(func_def_428,type,
sK206: set_Product_prod_b_b > b ).
thf(func_def_429,type,
sK207: set_Product_prod_b_b > b ).
thf(func_def_430,type,
sK208: set_Product_prod_b_b > b ).
thf(func_def_431,type,
sK209: set_Product_prod_b_b > b ).
thf(func_def_432,type,
sK210: set_Product_prod_b_b > b ).
thf(func_def_433,type,
sK211: set_Product_prod_b_b > b ).
thf(func_def_434,type,
sK212: set_Product_prod_b_b > b ).
thf(func_def_435,type,
sK213: set_Product_prod_b_b > b ).
thf(func_def_436,type,
sK214: set_Product_prod_b_b > b ).
thf(func_def_437,type,
sK215: set_Product_prod_b_b > b ).
thf(func_def_438,type,
sK216: set_Product_prod_b_b > b ).
thf(func_def_439,type,
sK217: set_Product_prod_b_b > b ).
thf(func_def_440,type,
sK218: set_Product_prod_b_b > b ).
thf(func_def_441,type,
sK219: set_Product_prod_b_b > b ).
thf(func_def_442,type,
sK220: set_Product_prod_b_b > b ).
thf(func_def_443,type,
sK221: set_Product_prod_b_b > product_prod_b_b > set_Product_prod_b_b > product_prod_b_b > set_Product_prod_b_b ).
thf(func_def_444,type,
sK222: set_Pr1912306449_a_nat > produc598811825_a_nat > set_Pr1912306449_a_nat > produc598811825_a_nat > set_Pr1912306449_a_nat ).
thf(func_def_445,type,
sK223: set_Pr1912306449_a_nat > produc598811825_a_nat ).
thf(func_def_446,type,
sK224: set_Product_prod_b_b > product_prod_b_b ).
thf(func_def_447,type,
sK225: ( produc598811825_a_nat > $o ) > produc598811825_a_nat ).
thf(func_def_448,type,
sK226: ( produc598811825_a_nat > $o ) > produc598811825_a_nat ).
thf(func_def_449,type,
sK227: set_Pr1912306449_a_nat > produc598811825_a_nat ).
thf(func_def_450,type,
sK228: set_Product_prod_b_b > product_prod_b_b ).
thf(func_def_451,type,
sK229: set_Product_prod_b_b > b ).
thf(func_def_452,type,
sK230: set_Product_prod_b_b > b ).
thf(func_def_453,type,
sK231: set_Product_prod_b_b > b ).
thf(func_def_454,type,
sK232: set_Pr1912306449_a_nat > labeled_graph_a_nat ).
thf(func_def_455,type,
sK233: set_Pr1912306449_a_nat > labeled_graph_a_nat ).
thf(func_def_456,type,
sK234: set_Pr1912306449_a_nat > labeled_graph_a_nat ).
thf(func_def_457,type,
sK235: set_Pr2074180935_a_nat > produc598811825_a_nat ).
thf(func_def_458,type,
sK236: set_Pr2074180935_a_nat > produc598811825_a_nat ).
thf(func_def_459,type,
sK237: set_Pr2074180935_a_nat > produc598811825_a_nat ).
thf(func_def_460,type,
sK238: set_Pr2007082183od_b_b > product_prod_b_b ).
thf(func_def_461,type,
sK239: set_Pr2007082183od_b_b > product_prod_b_b ).
thf(func_def_462,type,
sK240: set_Pr2007082183od_b_b > product_prod_b_b ).
thf(func_def_463,type,
sK241: set_Product_prod_b_b > b ).
thf(func_def_464,type,
sK242: set_Product_prod_b_b > b ).
thf(func_def_465,type,
sK243: set_Product_prod_b_b > b ).
thf(func_def_466,type,
sK244: set_Pr2074180935_a_nat > produc598811825_a_nat ).
thf(func_def_467,type,
sK245: set_Pr2074180935_a_nat > produc598811825_a_nat ).
thf(func_def_468,type,
sK246: set_Pr2074180935_a_nat > produc598811825_a_nat ).
thf(func_def_469,type,
sK247: set_Pr2007082183od_b_b > product_prod_b_b ).
thf(func_def_470,type,
sK248: set_Pr2007082183od_b_b > product_prod_b_b ).
thf(func_def_471,type,
sK249: set_Pr2007082183od_b_b > product_prod_b_b ).
thf(func_def_472,type,
sK250: set_Pr1912306449_a_nat > labeled_graph_a_nat ).
thf(func_def_473,type,
sK251: set_Pr1912306449_a_nat > labeled_graph_a_nat ).
thf(func_def_474,type,
sK252: set_Pr1912306449_a_nat > labeled_graph_a_nat ).
thf(func_def_475,type,
sK253: set_Product_prod_b_b > b ).
thf(func_def_476,type,
sK254: set_Product_prod_b_b > b ).
thf(func_def_477,type,
sK255: set_Product_prod_b_b > b ).
thf(func_def_478,type,
sK256: set_Pr2074180935_a_nat > produc598811825_a_nat ).
thf(func_def_479,type,
sK257: set_Pr2074180935_a_nat > produc598811825_a_nat ).
thf(func_def_480,type,
sK258: set_Pr2074180935_a_nat > produc598811825_a_nat ).
thf(func_def_481,type,
sK259: set_Pr2007082183od_b_b > product_prod_b_b ).
thf(func_def_482,type,
sK260: set_Pr2007082183od_b_b > product_prod_b_b ).
thf(func_def_483,type,
sK261: set_Pr2007082183od_b_b > product_prod_b_b ).
thf(func_def_484,type,
sK262: set_Pr1912306449_a_nat > labeled_graph_a_nat ).
thf(func_def_485,type,
sK263: set_Pr1912306449_a_nat > labeled_graph_a_nat ).
thf(func_def_486,type,
sK264: set_Pr1912306449_a_nat > labeled_graph_a_nat ).
thf(f1,axiom,
( ( trans_b @ ( getRel_a_b @ i @ g ) )
& ! [X0: b,X1: b] :
( ( member1285940496od_b_b @ ( product_Pair_b_b @ X0 @ X1 ) @ ( getRel_a_b @ i @ g ) )
=> ( member1285940496od_b_b @ ( product_Pair_b_b @ X1 @ X0 ) @ ( getRel_a_b @ i @ g ) ) )
& ( refl_on_b @ ( labeled_vertices_a_b @ g ) @ ( getRel_a_b @ i @ g ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0__092_060open_062refl__on_A_Ivertices_AG_J_A_IgetRel_AI_AG_J_A_092_060and_062_A_I_092_060forall_062x_Ay_O_A_Ix_M_Ay_J_A_092_060in_062_AgetRel_AI_AG_A_092_060longrightarrow_062_A_Iy_M_Ax_J_A_092_060in_062_AgetRel_AI_AG_J_A_092_060and_062_Atrans_A_IgetRel_AI_AG_J_092_060close_062) ).
thf(f2,axiom,
member1285940496od_b_b @ ( product_Pair_b_b @ y @ z ) @ ( getRel_a_b @ i @ g ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_aI) ).
thf(f356,conjecture,
member1285940496od_b_b @ ( product_Pair_b_b @ z @ y ) @ ( getRel_a_b @ i @ g ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f357,negated_conjecture,
~ ( member1285940496od_b_b @ ( product_Pair_b_b @ z @ y ) @ ( getRel_a_b @ i @ g ) ),
inference(negated_conjecture,[status(cth)],[f356]) ).
thf(f358,plain,
( ( trans_b @ ( getRel_a_b @ i @ g ) )
& ! [X0: b,X1: b] :
( ( member1285940496od_b_b @ ( product_Pair_b_b @ X0 @ X1 ) @ ( getRel_a_b @ i @ g ) )
=> ( member1285940496od_b_b @ ( product_Pair_b_b @ X1 @ X0 ) @ ( getRel_a_b @ i @ g ) ) )
& ( refl_on_b @ ( labeled_vertices_a_b @ g ) @ ( getRel_a_b @ i @ g ) ) ),
inference(rectify,[],[f1]) ).
thf(f359,plain,
( ( ( trans_b @ ( getRel_a_b @ i @ g ) )
= $true )
& ! [X0: b,X1: b] :
( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ X0 @ X1 ) @ ( getRel_a_b @ i @ g ) )
= $true )
=> ( ( member1285940496od_b_b @ ( product_Pair_b_b @ X1 @ X0 ) @ ( getRel_a_b @ i @ g ) )
= $true ) )
& ( ( refl_on_b @ ( labeled_vertices_a_b @ g ) @ ( getRel_a_b @ i @ g ) )
= $true ) ),
inference(fool_elimination,[],[f358]) ).
thf(f360,plain,
member1285940496od_b_b @ ( product_Pair_b_b @ y @ z ) @ ( getRel_a_b @ i @ g ),
inference(rectify,[],[f2]) ).
thf(f361,plain,
( ( member1285940496od_b_b @ ( product_Pair_b_b @ y @ z ) @ ( getRel_a_b @ i @ g ) )
= $true ),
inference(fool_elimination,[],[f360]) ).
thf(f947,plain,
~ ( member1285940496od_b_b @ ( product_Pair_b_b @ z @ y ) @ ( getRel_a_b @ i @ g ) ),
inference(rectify,[],[f357]) ).
thf(f948,plain,
( ( member1285940496od_b_b @ ( product_Pair_b_b @ z @ y ) @ ( getRel_a_b @ i @ g ) )
!= $true ),
inference(fool_elimination,[],[f947]) ).
thf(f971,plain,
( ( member1285940496od_b_b @ ( product_Pair_b_b @ z @ y ) @ ( getRel_a_b @ i @ g ) )
!= $true ),
inference(flattening,[],[f948]) ).
thf(f972,plain,
( ( ( trans_b @ ( getRel_a_b @ i @ g ) )
= $true )
& ! [X0: b,X1: b] :
( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ X1 @ X0 ) @ ( getRel_a_b @ i @ g ) )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ X0 @ X1 ) @ ( getRel_a_b @ i @ g ) )
!= $true ) )
& ( ( refl_on_b @ ( labeled_vertices_a_b @ g ) @ ( getRel_a_b @ i @ g ) )
= $true ) ),
inference(ennf_transformation,[],[f359]) ).
thf(f1344,plain,
! [X0: b,X1: b] :
( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ X0 @ X1 ) @ ( getRel_a_b @ i @ g ) )
!= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ X1 @ X0 ) @ ( getRel_a_b @ i @ g ) )
= $true ) ),
inference(cnf_transformation,[],[f972]) ).
thf(f1346,plain,
( ( member1285940496od_b_b @ ( product_Pair_b_b @ y @ z ) @ ( getRel_a_b @ i @ g ) )
= $true ),
inference(cnf_transformation,[],[f361]) ).
thf(f1752,plain,
( ( member1285940496od_b_b @ ( product_Pair_b_b @ z @ y ) @ ( getRel_a_b @ i @ g ) )
!= $true ),
inference(cnf_transformation,[],[f971]) ).
thf(f7399,plain,
( ( $true != $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ z @ y ) @ ( getRel_a_b @ i @ g ) )
= $true ) ),
inference(constrained_superposition,[],[f1344,f1346]) ).
thf(f7404,plain,
( ( member1285940496od_b_b @ ( product_Pair_b_b @ z @ y ) @ ( getRel_a_b @ i @ g ) )
= $true ),
inference(trivial_inequality_removal,[],[f7399]) ).
thf(f7406,plain,
$false,
inference(forward_subsumption_resolution,[],[f7404,f1752]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP175^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 % Computer : n001.cluster.edu
% 0.09/0.21 % Model : x86_64 x86_64
% 0.09/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21 % Memory : 8046.5625MB
% 0.09/0.21 % OS : Linux 6.8.0-71-generic
% 0.09/0.21 % CPULimit : 300
% 0.09/0.21 % WCLimit : 300
% 0.09/0.21 % DateTime : Tue Sep 29 20:12:21 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.48/0.56 % (1754145)Will run a generic schedule for satisfiability detection.
% 1.48/0.56 % (1754160)% WARNING: option uhcvi not known.
% 1.48/0.56 % (1754160)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1784464632:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.48/0.56 % (1754159)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=166906740_2999 on theBenchmark for (2999ds/0Mi)
% 1.48/0.56 % (1754164)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=338523997:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.48/0.56 % (1754161)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3407847772:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.48/0.56 % (1754162)dis+10_1_sil=32000:sp=arity:random_seed=2833942905:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.48/0.56 % (1754163)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2343982118:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.48/0.56 % (1754165)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4219531445:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.48/0.56 % (1754160)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.48/0.56 % (1754160)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 1.48/0.56 % (1754163)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.48/0.56 % (1754162)Instruction limit reached!
% 1.48/0.56 % (1754162)------------------------------
% 1.48/0.56 % (1754162)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.56 % (1754162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.56 % (1754162)CaDiCaL version: 2.1.3
% 1.48/0.56 % (1754162)Termination reason: Instruction limit
% 1.48/0.56 % (1754162)Termination phase: Property scanning
% 1.48/0.56 % (1754162)Time elapsed: 0.043 s
% 1.48/0.56 % (1754162)Peak memory usage: 11 MB
% 1.48/0.56 % (1754162)Instructions burned: 104 (million)
% 1.48/0.56 % Exception at run slice level
% 1.48/0.56 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.48/0.56 % (1754163)Instruction limit reached!
% 1.48/0.56 % (1754163)------------------------------
% 1.48/0.56 % (1754163)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.56 % (1754163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.56 % (1754163)CaDiCaL version: 2.1.3
% 1.48/0.56 % (1754163)Termination reason: Instruction limit
% 1.48/0.56 % (1754163)Termination phase: Saturation
% 1.48/0.56 % (1754163)Time elapsed: 0.049 s
% 1.48/0.56 % (1754163)Peak memory usage: 12 MB
% 1.48/0.56 % (1754163)Instructions burned: 117 (million)
% 1.48/0.56 % (1754164)Instruction limit reached!
% 1.48/0.56 % (1754164)------------------------------
% 1.48/0.56 % (1754164)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.56 % (1754164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.56 % (1754164)CaDiCaL version: 2.1.3
% 1.48/0.56 % (1754164)Termination reason: Instruction limit
% 1.48/0.56 % (1754164)Termination phase: Saturation
% 1.48/0.56 % (1754164)Time elapsed: 0.060 s
% 1.48/0.56 % (1754164)Peak memory usage: 13 MB
% 1.48/0.56 % (1754164)Instructions burned: 132 (million)
% 1.48/0.56 % (1754192)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2162635095:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.48/0.56 % (1754194)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=930861143:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.48/0.56 % (1754165)Instruction limit reached!
% 1.48/0.56 % (1754165)------------------------------
% 1.48/0.56 % (1754165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.56 % (1754165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.56 % (1754165)CaDiCaL version: 2.1.3
% 1.48/0.56 % (1754165)Termination reason: Instruction limit
% 1.48/0.56 % (1754165)Termination phase: Saturation
% 1.48/0.56 % (1754165)Time elapsed: 0.068 s
% 1.48/0.56 % (1754165)Peak memory usage: 13 MB
% 1.48/0.56 % (1754165)Instructions burned: 160 (million)
% 1.48/0.56 % (1754196)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1265805395:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.48/0.56 % (1754200)ott-21_1_sil=16000:fs=off:random_seed=2983390166:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.48/0.56 % (1754207)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1310145484:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.48/0.56 % (1754196)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.48/0.56 % Exception at run slice level
% 1.48/0.56 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.48/0.56 % (1754196)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 1.48/0.56 % (1754194)Instruction limit reached!
% 1.48/0.56 % (1754194)------------------------------
% 1.48/0.56 % (1754194)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.56 % (1754194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.56 % (1754194)CaDiCaL version: 2.1.3
% 1.48/0.56 % (1754194)Termination reason: Instruction limit
% 1.48/0.56 % (1754194)Termination phase: Saturation
% 1.48/0.56 % (1754194)Time elapsed: 0.055 s
% 1.48/0.56 % (1754194)Peak memory usage: 13 MB
% 1.48/0.56 % (1754194)Instructions burned: 131 (million)
% 1.48/0.56 % (1754228)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4267123408:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 1.48/0.56 % (1754229)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=971262046:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 1.48/0.56 % (1754200)Instruction limit reached!
% 1.48/0.56 % (1754200)------------------------------
% 1.48/0.56 % (1754200)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.56 % (1754200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.56 % (1754200)CaDiCaL version: 2.1.3
% 1.48/0.56 % (1754200)Termination reason: Instruction limit
% 1.48/0.56 % (1754200)Termination phase: Saturation
% 1.48/0.56 % (1754200)Time elapsed: 0.081 s
% 1.48/0.56 % (1754200)Peak memory usage: 14 MB
% 1.48/0.56 % (1754200)Instructions burned: 182 (million)
% 1.48/0.56 % Exception at run slice level
% 1.48/0.56 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.48/0.56 % (1754243)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=686510354:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 1.48/0.56 % (1754248)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=324167449:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 1.48/0.56 % (1754248)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.48/0.56 % Exception at run slice level
% 1.48/0.56 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.48/0.56 % (1754160) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1754145-1754160"...
% 1.48/0.56 % (1754160)...printing done.
% 1.48/0.56 % (1754160)Refutation found. Thanks to Tanya!
% 1.48/0.56 % SZS status Theorem for theBenchmark
% 1.48/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.48/0.56 % (1754160)------------------------------
% 1.48/0.56 % (1754160)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.48/0.56 % (1754160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.48/0.56 % (1754160)CaDiCaL version: 2.1.3
% 1.48/0.56 % (1754160)Termination reason: Refutation
% 1.48/0.56 % (1754160)Time elapsed: 0.259 s
% 1.48/0.56 % (1754160)Peak memory usage: 20 MB
% 1.48/0.56 % (1754160)Instructions burned: 952 (million)
% 1.48/0.56 % (1754145)Success in time 0.314 s
% 1.48/0.56 % Vampire exiting
%------------------------------------------------------------------------------