%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP175^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 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 08:08:40 AM UTC 2026
% Result : Theorem 0.80s 0.47s
% Output : Refutation 0.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 31 ( 17 unt; 0 typ; 2 def)
% Number of atoms : 99 ( 22 equ; 0 cnn)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 229 ( 17 ~; 11 |; 8 &; 188 @)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 77 ( 76 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 335 ( 332 usr; 23 con; 0-4 aty)
% Number of variables : 10 ( 0 sgn 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,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_211,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_212,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_213,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_214,type,
vIMP: $o > $o > $o ).
thf(func_def_215,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_216,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_217,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_218,type,
vNOT: $o > $o ).
thf(func_def_219,type,
vOR: $o > $o > $o ).
thf(func_def_220,type,
vAND: $o > $o > $o ).
thf(func_def_221,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_222,type,
sK0: produc1133639312od_b_b > product_prod_b_b ).
thf(func_def_223,type,
sK1: produc1133639312od_b_b > a ).
thf(func_def_224,type,
sK2: set_Pr1912306449_a_nat > produc598811825_a_nat ).
thf(func_def_225,type,
sK3: set_Product_prod_b_b > product_prod_b_b ).
thf(func_def_226,type,
sK4: set_Product_prod_b_b > product_prod_b_b ).
thf(func_def_227,type,
sK5: ( produc1168037607od_b_b > $o ) > product_prod_b_b ).
thf(func_def_228,type,
sK6: ( produc1168037607od_b_b > $o ) > product_prod_b_b ).
thf(func_def_229,type,
sK7: ( produc1099860071_a_nat > $o ) > produc598811825_a_nat ).
thf(func_def_230,type,
sK8: ( produc1099860071_a_nat > $o ) > produc598811825_a_nat ).
thf(func_def_231,type,
sK9: ( produc1133639312od_b_b > $o ) > product_prod_b_b ).
thf(func_def_232,type,
sK10: ( produc1133639312od_b_b > $o ) > a ).
thf(func_def_233,type,
sK11: set_Product_prod_b_b > product_prod_b_b ).
thf(func_def_234,type,
sK12: set_Product_prod_b_b > b ).
thf(func_def_235,type,
sK13: set_Product_prod_b_b > b ).
thf(func_def_236,type,
sK14: set_Product_prod_b_b > b ).
thf(func_def_237,type,
sK15: set_Pr1912306449_a_nat > produc598811825_a_nat > set_Pr1912306449_a_nat ).
thf(func_def_238,type,
sK16: set_Pr1912306449_a_nat > produc598811825_a_nat > produc598811825_a_nat > set_Pr1912306449_a_nat > set_Pr1912306449_a_nat ).
thf(func_def_239,type,
sK17: ( product_prod_b_b > $o ) > b ).
thf(func_def_240,type,
sK18: ( product_prod_b_b > $o ) > b ).
thf(func_def_241,type,
sK19: labeled_graph_a_nat > labeled_graph_a_b > set_Pr2106913242_nat_b > set_Pr2106913242_nat_b ).
thf(func_def_242,type,
sK20: produc1168037607od_b_b > product_prod_b_b ).
thf(func_def_243,type,
sK21: produc1168037607od_b_b > product_prod_b_b ).
thf(func_def_244,type,
sK22: ( produc1168037607od_b_b > $o ) > product_prod_b_b ).
thf(func_def_245,type,
sK23: ( produc1168037607od_b_b > $o ) > product_prod_b_b ).
thf(func_def_246,type,
sK24: produc1168037607od_b_b > product_prod_b_b ).
thf(func_def_247,type,
sK25: produc1168037607od_b_b > product_prod_b_b ).
thf(func_def_248,type,
sK26: produc1099860071_a_nat > produc598811825_a_nat ).
thf(func_def_249,type,
sK27: produc1099860071_a_nat > labeled_graph_a_nat ).
thf(func_def_250,type,
sK28: produc1099860071_a_nat > labeled_graph_a_nat ).
thf(func_def_251,type,
sK29: produc598811825_a_nat > labeled_graph_a_nat ).
thf(func_def_252,type,
sK30: produc598811825_a_nat > labeled_graph_a_nat ).
thf(func_def_253,type,
sK31: set_Pr1912306449_a_nat > produc598811825_a_nat ).
thf(func_def_254,type,
sK32: ( produc1099860071_a_nat > $o ) > produc598811825_a_nat ).
thf(func_def_255,type,
sK33: ( produc1099860071_a_nat > $o ) > produc598811825_a_nat ).
thf(func_def_256,type,
sK34: set_Product_prod_b_b > b ).
thf(func_def_257,type,
sK35: set_Product_prod_b_b > b ).
thf(func_def_258,type,
sK36: set_Product_prod_b_b > product_prod_b_b > set_Product_prod_b_b ).
thf(func_def_259,type,
sK37: set_Product_prod_b_b > product_prod_b_b ).
thf(func_def_260,type,
sK38: labele488176869od_b_b > a > produc598811825_a_nat ).
thf(func_def_261,type,
sK39: a > labeled_graph_a_b > produc598811825_a_nat ).
thf(func_def_262,type,
sK40: set_Product_prod_b_b > set_Product_prod_b_b > b ).
thf(func_def_263,type,
sK41: set_Product_prod_b_b > set_Product_prod_b_b > b ).
thf(func_def_264,type,
sK42: ( produc1133639312od_b_b > $o ) > a ).
thf(func_def_265,type,
sK43: ( produc1133639312od_b_b > $o ) > product_prod_b_b ).
thf(func_def_266,type,
sK44: produc598811825_a_nat > labeled_graph_a_nat ).
thf(func_def_267,type,
sK45: produc598811825_a_nat > labeled_graph_a_nat ).
thf(func_def_268,type,
sK46: ( produc598811825_a_nat > $o ) > produc598811825_a_nat ).
thf(func_def_269,type,
sK47: set_Product_prod_b_b > product_prod_b_b > set_Product_prod_b_b ).
thf(func_def_270,type,
sK48: produc1133639312od_b_b > b ).
thf(func_def_271,type,
sK49: produc1133639312od_b_b > a ).
thf(func_def_272,type,
sK50: produc1133639312od_b_b > b ).
thf(func_def_273,type,
sK51: set_Pr2007082183od_b_b > product_prod_b_b ).
thf(func_def_274,type,
sK52: set_Pr2007082183od_b_b > product_prod_b_b ).
thf(func_def_275,type,
sK53: set_Pr2007082183od_b_b > product_prod_b_b ).
thf(func_def_276,type,
sK54: ( produc1133639312od_b_b > $o ) > a ).
thf(func_def_277,type,
sK55: ( produc1133639312od_b_b > $o ) > b ).
thf(func_def_278,type,
sK56: ( produc1133639312od_b_b > $o ) > b ).
thf(func_def_279,type,
sK57: ( produc1099860071_a_nat > $o ) > labeled_graph_a_nat ).
thf(func_def_280,type,
sK58: ( produc1099860071_a_nat > $o ) > labeled_graph_a_nat ).
thf(func_def_281,type,
sK59: ( produc1099860071_a_nat > $o ) > produc598811825_a_nat ).
thf(func_def_282,type,
sK60: produc1099860071_a_nat > produc598811825_a_nat ).
thf(func_def_283,type,
sK61: produc1099860071_a_nat > produc598811825_a_nat ).
thf(func_def_284,type,
sK62: set_Pr1912306449_a_nat > produc598811825_a_nat ).
thf(func_def_285,type,
sK63: produc1168037607od_b_b > b ).
thf(func_def_286,type,
sK64: produc1168037607od_b_b > product_prod_b_b ).
thf(func_def_287,type,
sK65: produc1168037607od_b_b > b ).
thf(func_def_288,type,
sK66: produc1168037607od_b_b > set_Product_prod_b_b > product_prod_b_b ).
thf(func_def_289,type,
sK67: set_Pr1912306449_a_nat > labeled_graph_a_nat ).
thf(func_def_290,type,
sK68: set_Pr1912306449_a_nat > labeled_graph_a_nat ).
thf(func_def_291,type,
sK69: set_Pr1912306449_a_nat > labeled_graph_a_nat ).
thf(func_def_292,type,
sK70: set_Pr1912306449_a_nat > produc598811825_a_nat ).
thf(func_def_293,type,
sK71: produc1133639312od_b_b > a ).
thf(func_def_294,type,
sK72: produc1133639312od_b_b > product_prod_b_b ).
thf(func_def_295,type,
sK73: ( product_prod_b_b > $o ) > b ).
thf(func_def_296,type,
sK74: ( product_prod_b_b > $o ) > b ).
thf(func_def_297,type,
sK75: ( produc598811825_a_nat > $o ) > labeled_graph_a_nat ).
thf(func_def_298,type,
sK76: ( produc598811825_a_nat > $o ) > labeled_graph_a_nat ).
thf(func_def_299,type,
sK77: ( produc1168037607od_b_b > $o ) > b ).
thf(func_def_300,type,
sK78: ( produc1168037607od_b_b > $o ) > b ).
thf(func_def_301,type,
sK79: ( produc1168037607od_b_b > $o ) > product_prod_b_b ).
thf(func_def_302,type,
sK80: product_prod_b_b > set_Product_prod_b_b > product_prod_b_b > set_Product_prod_b_b > set_Product_prod_b_b ).
thf(func_def_303,type,
sK81: set_Product_prod_b_b > set_Product_prod_b_b > product_prod_b_b ).
thf(func_def_304,type,
sK82: product_prod_b_b > b ).
thf(func_def_305,type,
sK83: product_prod_b_b > b ).
thf(func_def_306,type,
sK84: product_prod_b_b > b ).
thf(func_def_307,type,
sK85: product_prod_b_b > b ).
thf(func_def_308,type,
sK86: set_b > set_Product_prod_b_b > ( b > product_prod_b_b ) > b ).
thf(func_def_309,type,
sK87: ( product_prod_b_b > $o ) > ( product_prod_b_b > $o ) > product_prod_b_b ).
thf(func_def_310,type,
sK88: produc1099860071_a_nat > produc598811825_a_nat ).
thf(func_def_311,type,
sK89: produc1099860071_a_nat > produc598811825_a_nat ).
thf(func_def_312,type,
sK90: set_Product_prod_b_b > product_prod_b_b ).
thf(func_def_313,type,
sK91: set_Product_prod_b_b > set_Pr2007082183od_b_b > product_prod_b_b ).
thf(func_def_314,type,
sK92: set_Product_prod_b_b > set_Pr2007082183od_b_b > product_prod_b_b ).
thf(func_def_315,type,
sK93: set_Pr2074180935_a_nat > produc598811825_a_nat ).
thf(func_def_316,type,
sK94: set_Pr2074180935_a_nat > produc598811825_a_nat ).
thf(func_def_317,type,
sK95: set_Pr2074180935_a_nat > produc598811825_a_nat ).
thf(func_def_318,type,
sK96: set_Pr1912306449_a_nat > produc598811825_a_nat ).
thf(func_def_319,type,
sK97: set_Pr1912306449_a_nat > produc598811825_a_nat ).
thf(func_def_320,type,
sK98: set_Pr1912306449_a_nat > produc598811825_a_nat ).
thf(func_def_321,type,
sK99: set_b > product_prod_b_b > b ).
thf(func_def_322,type,
sK100: set_Product_prod_b_b > product_prod_b_b ).
thf(func_def_323,type,
sK101: a > labele1586099759_a_nat > produc598811825_a_nat ).
thf(func_def_324,type,
sK102: ( produc598811825_a_nat > $o ) > ( produc598811825_a_nat > $o ) > produc598811825_a_nat ).
thf(func_def_325,type,
sK103: ( produc598811825_a_nat > $o ) > labeled_graph_a_nat ).
thf(func_def_326,type,
sK104: ( produc598811825_a_nat > $o ) > labeled_graph_a_nat ).
thf(func_def_327,type,
sK105: produc598811825_a_nat > set_Pr1912306449_a_nat > set_Pr1912306449_a_nat ).
thf(func_def_328,type,
sK106: ( produc598811825_a_nat > $o ) > produc598811825_a_nat ).
thf(func_def_329,type,
sK107: labeled_graph_a_nat > labeled_graph_a_b > labeled_graph_a_nat > set_Pr2106913242_nat_b ).
thf(func_def_330,type,
sK108: set_b > set_Product_prod_b_b > b ).
thf(func_def_331,type,
sK109: set_b > set_Product_prod_b_b > b ).
thf(f1,axiom,
( ( refl_on_b @ ( labeled_vertices_a_b @ g ) @ ( getRel_a_b @ i @ g ) )
& ! [X1: b,X0: 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 ) ) )
& ( trans_b @ ( getRel_a_b @ i @ g ) ) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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(f763,plain,
member1285940496od_b_b @ ( product_Pair_b_b @ y @ z ) @ ( getRel_a_b @ i @ g ),
inference(rectify,[],[f2]) ).
thf(f764,plain,
( ( member1285940496od_b_b @ ( product_Pair_b_b @ y @ z ) @ ( getRel_a_b @ i @ g ) )
= $true ),
inference(fool_elimination,[],[f763]) ).
thf(f798,plain,
( ( refl_on_b @ ( labeled_vertices_a_b @ g ) @ ( getRel_a_b @ i @ g ) )
& ! [X0: b,X1: b] :
( ( member1285940496od_b_b @ ( product_Pair_b_b @ X1 @ X0 ) @ ( getRel_a_b @ i @ g ) )
=> ( member1285940496od_b_b @ ( product_Pair_b_b @ X0 @ X1 ) @ ( getRel_a_b @ i @ g ) ) )
& ( trans_b @ ( getRel_a_b @ i @ g ) ) ),
inference(rectify,[],[f1]) ).
thf(f799,plain,
( ( ( trans_b @ ( getRel_a_b @ i @ g ) )
= $true )
& ( ( refl_on_b @ ( labeled_vertices_a_b @ g ) @ ( getRel_a_b @ i @ g ) )
= $true )
& ! [X1: b,X0: 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 ) ) ),
inference(fool_elimination,[],[f798]) ).
thf(f951,plain,
~ ( member1285940496od_b_b @ ( product_Pair_b_b @ z @ y ) @ ( getRel_a_b @ i @ g ) ),
inference(rectify,[],[f357]) ).
thf(f952,plain,
( ( member1285940496od_b_b @ ( product_Pair_b_b @ z @ y ) @ ( getRel_a_b @ i @ g ) )
!= $true ),
inference(fool_elimination,[],[f951]) ).
thf(f1009,plain,
( ( member1285940496od_b_b @ ( product_Pair_b_b @ z @ y ) @ ( getRel_a_b @ i @ g ) )
!= $true ),
inference(flattening,[],[f952]) ).
thf(f1179,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 ) )
& ( ( refl_on_b @ ( labeled_vertices_a_b @ g ) @ ( getRel_a_b @ i @ g ) )
= $true )
& ( ( trans_b @ ( getRel_a_b @ i @ g ) )
= $true ) ),
inference(ennf_transformation,[],[f799]) ).
thf(f1814,plain,
( ( member1285940496od_b_b @ ( product_Pair_b_b @ z @ y ) @ ( getRel_a_b @ i @ g ) )
!= $true ),
inference(cnf_transformation,[],[f1009]) ).
thf(f1837,plain,
( ( member1285940496od_b_b @ ( product_Pair_b_b @ y @ z ) @ ( getRel_a_b @ i @ g ) )
= $true ),
inference(cnf_transformation,[],[f764]) ).
thf(f1864,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,[],[f1179]) ).
thf(f2362,definition,
( spl110_6
<=> ( ( member1285940496od_b_b @ ( product_Pair_b_b @ z @ y ) @ ( getRel_a_b @ i @ g ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl110_6])],[avatar_definition]) ).
thf(f2364,plain,
( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ z @ y ) @ ( getRel_a_b @ i @ g ) )
!= $true )
| spl110_6 ),
inference(avatar_component_clause,[],[f2362]) ).
thf(f2365,plain,
~ spl110_6,
inference(avatar_split_clause,[],[f1814,f2362]) ).
thf(f2427,definition,
( spl110_19
<=> ( ( member1285940496od_b_b @ ( product_Pair_b_b @ y @ z ) @ ( getRel_a_b @ i @ g ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl110_19])],[avatar_definition]) ).
thf(f2429,plain,
( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ y @ z ) @ ( getRel_a_b @ i @ g ) )
= $true )
| ~ spl110_19 ),
inference(avatar_component_clause,[],[f2427]) ).
thf(f2430,plain,
spl110_19,
inference(avatar_split_clause,[],[f1837,f2427]) ).
thf(f2601,plain,
( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ y @ z ) @ ( getRel_a_b @ i @ g ) )
!= $true )
| ( $true != $true )
| spl110_6 ),
inference(superposition,[],[f2364,f1864]) ).
thf(f2606,plain,
( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ y @ z ) @ ( getRel_a_b @ i @ g ) )
!= $true )
| spl110_6 ),
inference(trivial_inequality_removal,[],[f2601]) ).
thf(f2607,plain,
( $false
| spl110_6
| ~ spl110_19 ),
inference(forward_subsumption_resolution,[],[f2606,f2429]) ).
thf(f2608,plain,
( spl110_6
| ~ spl110_19 ),
inference(avatar_contradiction_clause,[],[f2607]) ).
cnf(s6,plain,
~ spl110_6,
inference(sat_conversion,[],[f2365]) ).
cnf(s19,plain,
spl110_19,
inference(sat_conversion,[],[f2430]) ).
cnf(s49,plain,
( spl110_6
| ~ spl110_19 ),
inference(sat_conversion,[],[f2608]) ).
cnf(s50,plain,
spl110_6,
inference(rat,[],[s49,s19]) ).
cnf(s53,plain,
$false,
inference(rat,[],[s6,s50]) ).
thf(f2609,plain,
$false,
inference(avatar_sat_refutation,[],[s53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP175^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.21 % Computer : n001.cluster.edu
% 0.11/0.21 % Model : x86_64 x86_64
% 0.11/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.21 % Memory : 8046.5625MB
% 0.11/0.21 % OS : Linux 6.8.0-71-generic
% 0.11/0.21 % CPULimit : 300
% 0.11/0.21 % WCLimit : 300
% 0.11/0.21 % DateTime : Tue Sep 29 20:12:22 UTC 2026
% 0.11/0.22 % CPUTime :
% 0.11/0.22 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.25 Running higher-order theorem proving
% 0.23/0.34 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.31/0.46 % (1754350)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.31/0.46 % (1754366)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3030739117:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.31/0.46 % (1754372)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.31/0.46 % (1754372)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.31/0.46 % (1754367)lrs+10_16_si=on:nwc=1.5:random_seed=1748943808:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.31/0.46 % (1754368)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=4124004103:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.31/0.46 % (1754370)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1777596447:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.31/0.46 % (1754369)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=342756142:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.31/0.46 % (1754371)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1749797130:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.31/0.46 % (1754372)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=3821510758:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.31/0.46 % (1754368)Instruction limit reached!
% 0.31/0.46 % (1754368)------------------------------
% 0.31/0.46 % (1754368)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.46 % (1754368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.46 % (1754368)CaDiCaL version: 2.1.3
% 0.31/0.46 % (1754368)Termination reason: Instruction limit
% 0.31/0.46 % (1754368)Termination phase: shuffling
% 0.31/0.46 % (1754368)Time elapsed: 0.002 s
% 0.31/0.46 % (1754368)Peak memory usage: 10 MB
% 0.31/0.46 % (1754368)Instructions burned: 3 (million)
% 0.31/0.46 % (1754367)Instruction limit reached!
% 0.31/0.46 % (1754367)------------------------------
% 0.31/0.46 % (1754367)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.46 % (1754367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.46 % (1754367)CaDiCaL version: 2.1.3
% 0.31/0.46 % (1754367)Termination reason: Instruction limit
% 0.31/0.46 % (1754367)Termination phase: shuffling
% 0.31/0.46 % (1754367)Time elapsed: 0.009 s
% 0.31/0.46 % (1754367)Peak memory usage: 10 MB
% 0.31/0.46 % (1754367)Instructions burned: 20 (million)
% 0.31/0.46 % (1754370)Instruction limit reached!
% 0.31/0.46 % (1754370)------------------------------
% 0.31/0.46 % (1754370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.46 % (1754370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.46 % (1754370)CaDiCaL version: 2.1.3
% 0.31/0.46 % (1754370)Termination reason: Instruction limit
% 0.31/0.46 % (1754370)Termination phase: shuffling
% 0.31/0.46 % (1754370)Time elapsed: 0.011 s
% 0.31/0.46 % (1754370)Peak memory usage: 10 MB
% 0.31/0.46 % (1754370)Instructions burned: 25 (million)
% 0.31/0.46 % (1754366)Instruction limit reached!
% 0.31/0.46 % (1754366)------------------------------
% 0.31/0.46 % (1754366)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.46 % (1754366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.46 % (1754366)CaDiCaL version: 2.1.3
% 0.31/0.46 % (1754366)Termination reason: Instruction limit
% 0.31/0.46 % (1754366)Termination phase: Property scanning
% 0.31/0.46 % (1754366)Time elapsed: 0.021 s
% 0.31/0.46 % (1754366)Peak memory usage: 12 MB
% 0.31/0.46 % (1754366)Instructions burned: 87 (million)
% 0.31/0.46 % (1754391)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=4183445763:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.31/0.46 % (1754396)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=222378696:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.80/0.47 % (1754391)Instruction limit reached!
% 0.80/0.47 % (1754391)------------------------------
% 0.80/0.47 % (1754391)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.47 % (1754391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.47 % (1754391)CaDiCaL version: 2.1.3
% 0.80/0.47 % (1754391)Termination reason: Instruction limit
% 0.80/0.47 % (1754391)Termination phase: shuffling
% 0.80/0.47 % (1754391)Time elapsed: 0.002 s
% 0.80/0.47 % (1754391)Peak memory usage: 10 MB
% 0.80/0.47 % (1754391)Instructions burned: 3 (million)
% 0.80/0.47 % (1754396)Instruction limit reached!
% 0.80/0.47 % (1754396)------------------------------
% 0.80/0.47 % (1754396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.47 % (1754396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.47 % (1754396)CaDiCaL version: 2.1.3
% 0.80/0.47 % (1754396)Termination reason: Instruction limit
% 0.80/0.47 % (1754396)Termination phase: shuffling
% 0.80/0.47 % (1754396)Time elapsed: 0.003 s
% 0.80/0.47 % (1754396)Peak memory usage: 10 MB
% 0.80/0.47 % (1754396)Instructions burned: 12 (million)
% 0.80/0.47 % (1754394)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.80/0.47 % (1754392)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=493816416:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.80/0.47 % (1754394)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=27985722:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.80/0.47 % (1754392)Instruction limit reached!
% 0.80/0.47 % (1754392)------------------------------
% 0.80/0.47 % (1754392)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.47 % (1754392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.47 % (1754392)CaDiCaL version: 2.1.3
% 0.80/0.47 % (1754392)Termination reason: Instruction limit
% 0.80/0.47 % (1754392)Termination phase: shuffling
% 0.80/0.47 % (1754392)Time elapsed: 0.003 s
% 0.80/0.47 % (1754392)Peak memory usage: 10 MB
% 0.80/0.47 % (1754392)Instructions burned: 5 (million)
% 0.80/0.47 % (1754394)Instruction limit reached!
% 0.80/0.47 % (1754394)------------------------------
% 0.80/0.47 % (1754394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.47 % (1754394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.47 % (1754394)CaDiCaL version: 2.1.3
% 0.80/0.47 % (1754394)Termination reason: Instruction limit
% 0.80/0.47 % (1754394)Termination phase: shuffling
% 0.80/0.47 % (1754394)Time elapsed: 0.004 s
% 0.80/0.47 % (1754394)Peak memory usage: 10 MB
% 0.80/0.47 % (1754394)Instructions burned: 8 (million)
% 0.80/0.47 % (1754371)Instruction limit reached!
% 0.80/0.47 % (1754371)------------------------------
% 0.80/0.47 % (1754371)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.47 % (1754371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.47 % (1754371)CaDiCaL version: 2.1.3
% 0.80/0.47 % (1754371)Termination reason: Instruction limit
% 0.80/0.47 % (1754371)Termination phase: Property scanning
% 0.80/0.47 % (1754371)Time elapsed: 0.036 s
% 0.80/0.47 % (1754371)Peak memory usage: 12 MB
% 0.80/0.47 % (1754371)Instructions burned: 77 (million)
% 0.80/0.47 % (1754404)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=2811477048:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.80/0.47 % (1754403)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.80/0.47 % (1754403)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.80/0.47 % (1754403)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2304454799:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.80/0.47 % (1754408)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.80/0.47 % (1754407)lrs+10_1_si=on:cs=on:random_seed=3224695399:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.80/0.47 % (1754408)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=4152602575:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.80/0.47 % (1754407)Instruction limit reached!
% 0.80/0.47 % (1754407)------------------------------
% 0.80/0.47 % (1754407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.47 % (1754407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.47 % (1754407)CaDiCaL version: 2.1.3
% 0.80/0.47 % (1754407)Termination reason: Instruction limit
% 0.80/0.47 % (1754407)Termination phase: shuffling
% 0.80/0.47 % (1754407)Time elapsed: 0.004 s
% 0.80/0.47 % (1754407)Peak memory usage: 10 MB
% 0.80/0.47 % (1754407)Instructions burned: 8 (million)
% 0.80/0.47 % (1754410)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=944649608:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.80/0.47 % (1754403)Instruction limit reached!
% 0.80/0.47 % (1754403)------------------------------
% 0.80/0.47 % (1754403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.47 % (1754403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.47 % (1754403)CaDiCaL version: 2.1.3
% 0.80/0.47 % (1754403)Termination reason: Instruction limit
% 0.80/0.47 % (1754403)Termination phase: shuffling
% 0.80/0.47 % (1754403)Time elapsed: 0.014 s
% 0.80/0.47 % (1754403)Peak memory usage: 11 MB
% 0.80/0.47 % (1754403)Instructions burned: 29 (million)
% 0.80/0.47 % (1754404)Instruction limit reached!
% 0.80/0.47 % (1754404)------------------------------
% 0.80/0.47 % (1754404)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.47 % (1754404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.47 % (1754404)CaDiCaL version: 2.1.3
% 0.80/0.47 % (1754404)Termination reason: Instruction limit
% 0.80/0.47 % (1754404)Termination phase: Property scanning
% 0.80/0.47 % (1754404)Time elapsed: 0.020 s
% 0.80/0.47 % (1754404)Peak memory usage: 11 MB
% 0.80/0.47 % (1754404)Instructions burned: 90 (million)
% 0.80/0.47 % (1754408)Instruction limit reached!
% 0.80/0.47 % (1754408)------------------------------
% 0.80/0.47 % (1754408)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.47 % (1754408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.47 % (1754408)CaDiCaL version: 2.1.3
% 0.80/0.47 % (1754408)Termination reason: Instruction limit
% 0.80/0.47 % (1754408)Termination phase: shuffling
% 0.80/0.47 % (1754408)Time elapsed: 0.003 s
% 0.80/0.47 % (1754408)Peak memory usage: 10 MB
% 0.80/0.47 % (1754408)Instructions burned: 6 (million)
% 0.80/0.47 % (1754422)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1222544868:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.80/0.47 % (1754372)Instruction limit reached!
% 0.80/0.47 % (1754372)------------------------------
% 0.80/0.47 % (1754372)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.47 % (1754372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.47 % (1754372)CaDiCaL version: 2.1.3
% 0.80/0.47 % (1754372)Termination reason: Instruction limit
% 0.80/0.47 % (1754372)Termination phase: Saturation
% 0.80/0.47 % (1754372)Time elapsed: 0.070 s
% 0.80/0.47 % (1754372)Peak memory usage: 14 MB
% 0.80/0.47 % (1754372)Instructions burned: 158 (million)
% 0.80/0.47 % (1754422)Instruction limit reached!
% 0.80/0.47 % (1754422)------------------------------
% 0.80/0.47 % (1754422)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.47 % (1754422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.47 % (1754422)CaDiCaL version: 2.1.3
% 0.80/0.47 % (1754422)Termination reason: Instruction limit
% 0.80/0.47 % (1754422)Termination phase: shuffling
% 0.80/0.47 % (1754422)Time elapsed: 0.004 s
% 0.80/0.47 % (1754422)Peak memory usage: 10 MB
% 0.80/0.47 % (1754422)Instructions burned: 15 (million)
% 0.80/0.47 % (1754410)Instruction limit reached!
% 0.80/0.47 % (1754410)------------------------------
% 0.80/0.47 % (1754410)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.47 % (1754410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.47 % (1754410)CaDiCaL version: 2.1.3
% 0.80/0.47 % (1754410)Termination reason: Instruction limit
% 0.80/0.47 % (1754410)Termination phase: Property scanning
% 0.80/0.47 % (1754410)Time elapsed: 0.017 s
% 0.80/0.47 % (1754410)Peak memory usage: 10 MB
% 0.80/0.47 % (1754410)Instructions burned: 39 (million)
% 0.80/0.47 % (1754417)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1731336211:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.80/0.47 % (1754420)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=733550080:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.80/0.47 % (1754423)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2054143065:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.80/0.47 % (1754369) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1754350-1754369"...
% 0.80/0.47 % (1754369)...printing done.
% 0.80/0.47 % (1754427)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=572654419:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.80/0.47 % (1754369)Refutation found. Thanks to Tanya!
% 0.80/0.47 % SZS status Theorem for theBenchmark
% 0.80/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.80/0.48 % (1754369)------------------------------
% 0.80/0.48 % (1754369)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.48 % (1754369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.48 % (1754369)CaDiCaL version: 2.1.3
% 0.80/0.48 % (1754369)Termination reason: Refutation
% 0.80/0.48 % (1754369)Time elapsed: 0.081 s
% 0.80/0.48 % (1754369)Peak memory usage: 15 MB
% 0.80/0.48 % (1754369)Instructions burned: 169 (million)
% 0.80/0.48 % (1754350)Success in time 0.129 s
% 0.80/0.48 % Vampire exiting
%------------------------------------------------------------------------------