%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP177^1 : 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 : n011.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 1.75s 0.58s
% Output : Refutation 1.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 39 ( 30 unt; 0 typ; 0 def)
% Number of atoms : 122 ( 55 equ; 0 cnn)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 316 ( 13 ~; 9 |; 0 &; 294 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Number of types : 53 ( 52 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 327 ( 324 usr; 17 con; 0-4 aty)
% Number of variables : 37 ( 19 ^; 18 !; 0 ?; 37 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
set_Pr197580003_a_nat: $tType ).
thf(type_def_6,type,
set_Pr924198087_a_nat: $tType ).
thf(type_def_7,type,
produc398057191_a_nat: $tType ).
thf(type_def_8,type,
set_Pr1954438265od_b_b: $tType ).
thf(type_def_9,type,
produc1169496899od_b_b: $tType ).
thf(type_def_10,type,
set_Pr1190604087od_b_b: $tType ).
thf(type_def_11,type,
produc1084374401od_b_b: $tType ).
thf(type_def_12,type,
labele1322729112_a_nat: $tType ).
thf(type_def_13,type,
set_Pr667377223od_b_b: $tType ).
thf(type_def_14,type,
produc1485083751od_b_b: $tType ).
thf(type_def_15,type,
set_Pr2109276827od_b_b: $tType ).
thf(type_def_16,type,
set_Pr1646010159_a_nat: $tType ).
thf(type_def_17,type,
set_Pr812188767_nat_b: $tType ).
thf(type_def_18,type,
produc970027067od_b_b: $tType ).
thf(type_def_19,type,
produc845793663_nat_b: $tType ).
thf(type_def_20,type,
set_Pr1987088711_a_nat: $tType ).
thf(type_def_21,type,
produc1871334759_a_nat: $tType ).
thf(type_def_22,type,
produc1398946881nt_a_b: $tType ).
thf(type_def_23,type,
labele1644675410od_b_b: $tType ).
thf(type_def_24,type,
set_Pr1071216121od_b_b: $tType ).
thf(type_def_25,type,
set_Pr2134561957od_b_b: $tType ).
thf(type_def_26,type,
set_Pr1021918435od_b_b: $tType ).
thf(type_def_27,type,
produc1052326083od_b_b: $tType ).
thf(type_def_28,type,
produc1990339951od_b_b: $tType ).
thf(type_def_29,type,
produc644633773od_b_b: $tType ).
thf(type_def_30,type,
set_Pr2060523537od_b_b: $tType ).
thf(type_def_31,type,
set_Pr1906739389_b_b_b: $tType ).
thf(type_def_32,type,
produc1605346267od_b_b: $tType ).
thf(type_def_33,type,
produc276146823_b_b_b: $tType ).
thf(type_def_34,type,
set_Pr154086431tant_a: $tType ).
thf(type_def_35,type,
set_Pr1324126435od_b_b: $tType ).
thf(type_def_36,type,
produc90515391tant_a: $tType ).
thf(type_def_37,type,
labele1835558936od_b_b: $tType ).
thf(type_def_38,type,
set_Pr2007082183od_b_b: $tType ).
thf(type_def_39,type,
produc1213276845od_b_b: $tType ).
thf(type_def_40,type,
set_la1083530965_a_nat: $tType ).
thf(type_def_41,type,
produc1168037607od_b_b: $tType ).
thf(type_def_42,type,
labele935650037_a_nat: $tType ).
thf(type_def_43,type,
set_Pr1649131859tant_a: $tType ).
thf(type_def_44,type,
allego510293162tant_a: $tType ).
thf(type_def_45,type,
labele1159362096nt_a_b: $tType ).
thf(type_def_46,type,
set_Pr621705391od_b_b: $tType ).
thf(type_def_47,type,
set_Pr357419743_b_b_b: $tType ).
thf(type_def_48,type,
produc255402447od_b_b: $tType ).
thf(type_def_49,type,
produc2112523263_b_b_b: $tType ).
thf(type_def_50,type,
set_St761939237tant_a: $tType ).
thf(type_def_51,type,
set_Pr2106913242_nat_b: $tType ).
thf(type_def_52,type,
set_Product_prod_b_b: $tType ).
thf(type_def_53,type,
standard_Constant_a: $tType ).
thf(type_def_54,type,
product_prod_b_b: $tType ).
thf(type_def_55,type,
set_b: $tType ).
thf(type_def_56,type,
b: $tType ).
thf(type_def_57,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
bNF_Gr1272216980od_b_b: set_St761939237tant_a > ( standard_Constant_a > product_prod_b_b ) > set_Pr1324126435od_b_b ).
thf(func_def_1,type,
bNF_Gr996500706_a_nat: set_la1083530965_a_nat > ( labele935650037_a_nat > labele935650037_a_nat ) > set_Pr1987088711_a_nat ).
thf(func_def_2,type,
bNF_Gr492676974_b_b_b: set_Pr1324126435od_b_b > ( produc1213276845od_b_b > b ) > set_Pr1906739389_b_b_b ).
thf(func_def_3,type,
bNF_Gr521784954_b_b_b: set_Product_prod_b_b > ( product_prod_b_b > b ) > set_Pr357419743_b_b_b ).
thf(func_def_4,type,
bNF_Gr230160332tant_a: set_b > ( b > standard_Constant_a ) > set_Pr1649131859tant_a ).
thf(func_def_5,type,
bNF_Gr_b_b: set_b > ( b > b ) > set_Product_prod_b_b ).
thf(func_def_6,type,
equiv_1821124534_set_b: set_Product_prod_b_b > ( b > set_b ) > $o ).
thf(func_def_7,type,
equiv_2048442231od_b_b: set_Pr1324126435od_b_b > set_Pr2109276827od_b_b > $o ).
thf(func_def_8,type,
equiv_291114781_a_nat: set_Pr1987088711_a_nat > set_Pr924198087_a_nat > $o ).
thf(func_def_9,type,
equiv_1125628061od_b_b: set_Product_prod_b_b > set_Pr2007082183od_b_b > $o ).
thf(func_def_10,type,
equiv_equiv_b: set_b > set_Product_prod_b_b > $o ).
thf(func_def_11,type,
hilbert_Eps_b: ( b > $o ) > b ).
thf(func_def_12,type,
if_b: $o > b > b > b ).
thf(func_def_13,type,
standard_S_Idt_a: standard_Constant_a ).
thf(func_def_14,type,
getRel59882567od_b_b: standard_Constant_a > labele1644675410od_b_b > set_Pr2109276827od_b_b ).
thf(func_def_15,type,
getRel118493133od_b_b: standard_Constant_a > labele1835558936od_b_b > set_Pr2007082183od_b_b ).
thf(func_def_16,type,
getRel904497637nt_a_b: standard_Constant_a > labele1159362096nt_a_b > set_Product_prod_b_b ).
thf(func_def_17,type,
semant55076487nt_a_b: labele1159362096nt_a_b > allego510293162tant_a > set_Product_prod_b_b ).
thf(func_def_18,type,
edge_p1817988046tant_a: set_Pr1906739389_b_b_b > set_Pr1190604087od_b_b > set_Pr1324126435od_b_b > $o ).
thf(func_def_19,type,
edge_p1969196346tant_a: set_Pr357419743_b_b_b > set_Pr1021918435od_b_b > set_Pr1324126435od_b_b > $o ).
thf(func_def_20,type,
edge_p1384198690tant_a: set_Product_prod_b_b > set_Pr1324126435od_b_b > set_Pr1324126435od_b_b > $o ).
thf(func_def_21,type,
graph_714568023_nat_b: labele935650037_a_nat > labele1159362096nt_a_b > set_Pr2106913242_nat_b > $o ).
thf(func_def_22,type,
graph_726202286_nat_b: labele1322729112_a_nat > labele1159362096nt_a_b > set_Pr812188767_nat_b > $o ).
thf(func_def_23,type,
graph_222606102_a_b_b: labele1159362096nt_a_b > labele1159362096nt_a_b > set_Product_prod_b_b > $o ).
thf(func_def_24,type,
graph_1309249505nt_a_b: labele1159362096nt_a_b > labele1159362096nt_a_b > labele1159362096nt_a_b ).
thf(func_def_25,type,
labele27098724_a_nat: set_Pr197580003_a_nat > set_Pr1987088711_a_nat > labele1322729112_a_nat ).
thf(func_def_26,type,
labele1230159100nt_a_b: set_Pr1324126435od_b_b > set_b > labele1159362096nt_a_b ).
thf(func_def_27,type,
labele2032816061od_b_b: labele1644675410od_b_b > set_Pr1190604087od_b_b ).
thf(func_def_28,type,
labele372159959od_b_b: labele1835558936od_b_b > set_Pr1021918435od_b_b ).
thf(func_def_29,type,
labele1741081071nt_a_b: labele1159362096nt_a_b > set_Pr1324126435od_b_b ).
thf(func_def_30,type,
labele595103470od_b_b: labele1644675410od_b_b > set_Pr1324126435od_b_b ).
thf(func_def_31,type,
labele442485990od_b_b: labele1835558936od_b_b > set_Product_prod_b_b ).
thf(func_def_32,type,
labele1424214014nt_a_b: labele1159362096nt_a_b > set_b ).
thf(func_def_33,type,
map_gr1495881666tant_a: set_Pr1906739389_b_b_b > labele1644675410od_b_b > labele1159362096nt_a_b ).
thf(func_def_34,type,
map_gr1314489926tant_a: set_Pr357419743_b_b_b > labele1835558936od_b_b > labele1159362096nt_a_b ).
thf(func_def_35,type,
map_gr926947118tant_a: set_Product_prod_b_b > labele1159362096nt_a_b > labele1159362096nt_a_b ).
thf(func_def_36,type,
restri446606278nt_a_b: labele1159362096nt_a_b > labele1159362096nt_a_b ).
thf(func_def_37,type,
bot_bo1160111033tant_a: set_St761939237tant_a ).
thf(func_def_38,type,
bot_bo2122869057_a_nat: set_la1083530965_a_nat ).
thf(func_def_39,type,
bot_bo1653310327_a_nat: set_Pr197580003_a_nat ).
thf(func_def_40,type,
bot_bo1664927607od_b_b: set_Pr1324126435od_b_b ).
thf(func_def_41,type,
bot_bo1836341171_a_nat: set_Pr1987088711_a_nat ).
thf(func_def_42,type,
bot_bo1973379891_a_nat: set_Pr924198087_a_nat ).
thf(func_def_43,type,
bot_bo1113554635_nat_b: set_Pr812188767_nat_b ).
thf(func_def_44,type,
bot_bo1343651123od_b_b: set_Product_prod_b_b ).
thf(func_def_45,type,
bot_bot_set_b: set_b ).
thf(func_def_46,type,
ord_le123089219od_b_b: set_Pr1324126435od_b_b > set_Pr1324126435od_b_b > $o ).
thf(func_def_47,type,
ord_le1718765799_a_nat: set_Pr1987088711_a_nat > set_Pr1987088711_a_nat > $o ).
thf(func_def_48,type,
ord_le1484132922_nat_b: set_Pr2106913242_nat_b > set_Pr2106913242_nat_b > $o ).
thf(func_def_49,type,
ord_le107617383_a_nat: set_Pr924198087_a_nat > set_Pr924198087_a_nat > $o ).
thf(func_def_50,type,
ord_le1036320359od_b_b: set_Product_prod_b_b > set_Product_prod_b_b > $o ).
thf(func_def_51,type,
ord_less_eq_set_b: set_b > set_b > $o ).
thf(func_def_52,type,
produc342647tant_a: standard_Constant_a > standard_Constant_a > produc90515391tant_a ).
thf(func_def_53,type,
produc1788032435od_b_b: standard_Constant_a > produc970027067od_b_b > produc1084374401od_b_b ).
thf(func_def_54,type,
produc618266719od_b_b: standard_Constant_a > produc1168037607od_b_b > produc644633773od_b_b ).
thf(func_def_55,type,
produc1432590431od_b_b: standard_Constant_a > product_prod_b_b > produc1213276845od_b_b ).
thf(func_def_56,type,
produc1676969687_a_nat: labele935650037_a_nat > labele935650037_a_nat > produc1871334759_a_nat ).
thf(func_def_57,type,
produc1569511545nt_a_b: labele1159362096nt_a_b > labele1159362096nt_a_b > produc1398946881nt_a_b ).
thf(func_def_58,type,
produc449289715od_b_b: produc1213276845od_b_b > produc1213276845od_b_b > produc970027067od_b_b ).
thf(func_def_59,type,
produc1597690145od_b_b: produc1213276845od_b_b > product_prod_b_b > produc1990339951od_b_b ).
thf(func_def_60,type,
produc1580777273_b_b_b: produc1213276845od_b_b > b > produc276146823_b_b_b ).
thf(func_def_61,type,
produc401731773od_b_b: produc1871334759_a_nat > produc1213276845od_b_b > produc1169496899od_b_b ).
thf(func_def_62,type,
produc1677124439_a_nat: produc1871334759_a_nat > produc1871334759_a_nat > produc398057191_a_nat ).
thf(func_def_63,type,
produc590959831od_b_b: produc1871334759_a_nat > product_prod_b_b > produc1485083751od_b_b ).
thf(func_def_64,type,
produc2059954415_nat_b: produc1871334759_a_nat > b > produc845793663_nat_b ).
thf(func_def_65,type,
produc732676669od_b_b: product_prod_b_b > produc1213276845od_b_b > produc1052326083od_b_b ).
thf(func_def_66,type,
produc546497367od_b_b: product_prod_b_b > product_prod_b_b > produc1168037607od_b_b ).
thf(func_def_67,type,
produc1001682799_b_b_b: product_prod_b_b > b > produc2112523263_b_b_b ).
thf(func_def_68,type,
produc800495189od_b_b: b > produc1213276845od_b_b > produc1605346267od_b_b ).
thf(func_def_69,type,
produc1257047359od_b_b: b > product_prod_b_b > produc255402447od_b_b ).
thf(func_def_70,type,
product_Pair_b_b: b > b > product_prod_b_b ).
thf(func_def_71,type,
id_on_689842066_a_nat: set_la1083530965_a_nat > set_Pr1987088711_a_nat ).
thf(func_def_72,type,
id_on_250271696od_b_b: set_Pr1324126435od_b_b > set_Pr2109276827od_b_b ).
thf(func_def_73,type,
id_on_1651096324_a_nat: set_Pr1987088711_a_nat > set_Pr924198087_a_nat ).
thf(func_def_74,type,
id_on_2019020932od_b_b: set_Product_prod_b_b > set_Pr2007082183od_b_b ).
thf(func_def_75,type,
id_on_b: set_b > set_Product_prod_b_b ).
thf(func_def_76,type,
image_1916422435od_b_b: set_Pr1324126435od_b_b > set_St761939237tant_a > set_Product_prod_b_b ).
thf(func_def_77,type,
image_1971191571_a_nat: set_Pr1987088711_a_nat > set_la1083530965_a_nat > set_la1083530965_a_nat ).
thf(func_def_78,type,
image_763305007od_b_b: set_Pr2109276827od_b_b > set_Pr1324126435od_b_b > set_Pr1324126435od_b_b ).
thf(func_def_79,type,
image_1397930469od_b_b: set_Pr2134561957od_b_b > set_Pr1324126435od_b_b > set_Product_prod_b_b ).
thf(func_def_80,type,
image_1764625405_b_b_b: set_Pr1906739389_b_b_b > set_Pr1324126435od_b_b > set_b ).
thf(func_def_81,type,
image_480774529od_b_b: set_Pr1954438265od_b_b > set_Pr1987088711_a_nat > set_Pr1324126435od_b_b ).
thf(func_def_82,type,
image_1168831379_a_nat: set_Pr924198087_a_nat > set_Pr1987088711_a_nat > set_Pr1987088711_a_nat ).
thf(func_def_83,type,
image_1214223635od_b_b: set_Pr667377223od_b_b > set_Pr1987088711_a_nat > set_Product_prod_b_b ).
thf(func_def_84,type,
image_924992811_nat_b: set_Pr812188767_nat_b > set_Pr1987088711_a_nat > set_b ).
thf(func_def_85,type,
image_532916993od_b_b: set_Pr1071216121od_b_b > set_Product_prod_b_b > set_Pr1324126435od_b_b ).
thf(func_def_86,type,
image_1928024979od_b_b: set_Pr2007082183od_b_b > set_Product_prod_b_b > set_Product_prod_b_b ).
thf(func_def_87,type,
image_921732011_b_b_b: set_Pr357419743_b_b_b > set_Product_prod_b_b > set_b ).
thf(func_def_88,type,
image_984343321od_b_b: set_Pr2060523537od_b_b > set_b > set_Pr1324126435od_b_b ).
thf(func_def_89,type,
image_1749766139_a_nat: set_Pr1646010159_a_nat > set_b > set_Pr1987088711_a_nat ).
thf(func_def_90,type,
image_1177096571od_b_b: set_Pr621705391od_b_b > set_b > set_Product_prod_b_b ).
thf(func_def_91,type,
image_b_b: set_Product_prod_b_b > set_b > set_b ).
thf(func_def_92,type,
refl_o1031343860_a_nat: set_la1083530965_a_nat > set_Pr1987088711_a_nat > $o ).
thf(func_def_93,type,
refl_o1921098222od_b_b: set_Pr1324126435od_b_b > set_Pr2109276827od_b_b > $o ).
thf(func_def_94,type,
refl_o1213627494_a_nat: set_Pr1987088711_a_nat > set_Pr924198087_a_nat > $o ).
thf(func_def_95,type,
refl_o2134473190od_b_b: set_Product_prod_b_b > set_Pr2007082183od_b_b > $o ).
thf(func_def_96,type,
refl_on_b: set_b > set_Product_prod_b_b > $o ).
thf(func_def_97,type,
relcom883816262od_b_b: set_Pr154086431tant_a > set_Pr1324126435od_b_b > set_Pr1324126435od_b_b ).
thf(func_def_98,type,
relcom1823941168od_b_b: set_Pr1324126435od_b_b > set_Pr2007082183od_b_b > set_Pr1324126435od_b_b ).
thf(func_def_99,type,
relcom1338300020_a_nat: set_Pr1987088711_a_nat > set_Pr1987088711_a_nat > set_Pr1987088711_a_nat ).
thf(func_def_100,type,
relcom112561144od_b_b: set_Pr1649131859tant_a > set_Pr1324126435od_b_b > set_Pr621705391od_b_b ).
thf(func_def_101,type,
relcomp_b_b_b: set_Product_prod_b_b > set_Product_prod_b_b > set_Product_prod_b_b ).
thf(func_def_102,type,
agree_221379389_a_b_b: labele1159362096nt_a_b > set_Product_prod_b_b > set_Product_prod_b_b > $o ).
thf(func_def_103,type,
conseq956760372_nat_b: set_Pr1987088711_a_nat > labele1159362096nt_a_b > $o ).
thf(func_def_104,type,
extens1554515172_nat_b: produc1871334759_a_nat > labele1159362096nt_a_b > set_Pr2106913242_nat_b > $o ).
thf(func_def_105,type,
extens1779443913_a_b_b: produc1398946881nt_a_b > labele1159362096nt_a_b > set_Product_prod_b_b > $o ).
thf(func_def_106,type,
mainta1604381365_nat_b: produc1871334759_a_nat > labele1159362096nt_a_b > $o ).
thf(func_def_107,type,
mainta374363448_a_b_b: produc1398946881nt_a_b > labele1159362096nt_a_b > $o ).
thf(func_def_108,type,
collec279084418od_b_b: ( produc1213276845od_b_b > $o ) > set_Pr1324126435od_b_b ).
thf(func_def_109,type,
collec357096914_a_nat: ( produc1871334759_a_nat > $o ) > set_Pr1987088711_a_nat ).
thf(func_def_110,type,
collec1481886546od_b_b: ( product_prod_b_b > $o ) > set_Product_prod_b_b ).
thf(func_def_111,type,
collect_b: ( b > $o ) > set_b ).
thf(func_def_112,type,
image_1683732397od_b_b: ( b > product_prod_b_b ) > set_b > set_Product_prod_b_b ).
thf(func_def_113,type,
insert1909710879tant_a: standard_Constant_a > set_St761939237tant_a > set_St761939237tant_a ).
thf(func_def_114,type,
insert1167839429_a_nat: labele935650037_a_nat > set_la1083530965_a_nat > set_la1083530965_a_nat ).
thf(func_def_115,type,
insert2037698781od_b_b: produc1213276845od_b_b > set_Pr1324126435od_b_b > set_Pr1324126435od_b_b ).
thf(func_def_116,type,
insert1574423351_a_nat: produc1871334759_a_nat > set_Pr1987088711_a_nat > set_Pr1987088711_a_nat ).
thf(func_def_117,type,
insert1810136247_a_nat: produc398057191_a_nat > set_Pr924198087_a_nat > set_Pr924198087_a_nat ).
thf(func_def_118,type,
insert1952693431od_b_b: product_prod_b_b > set_Product_prod_b_b > set_Product_prod_b_b ).
thf(func_def_119,type,
insert_b: b > set_b > set_b ).
thf(func_def_120,type,
standa1568205540ules_a: set_St761939237tant_a > set_Pr1987088711_a_nat ).
thf(func_def_121,type,
standa63370785tant_a: standard_Constant_a > produc1871334759_a_nat ).
thf(func_def_122,type,
standa997693288tant_a: standard_Constant_a > produc1871334759_a_nat ).
thf(func_def_123,type,
standa1795879409tant_a: standard_Constant_a > produc1871334759_a_nat ).
thf(func_def_124,type,
member1632892294tant_a: standard_Constant_a > set_St761939237tant_a > $o ).
thf(func_def_125,type,
member1214736488tant_a: produc90515391tant_a > set_Pr154086431tant_a > $o ).
thf(func_def_126,type,
member147868824od_b_b: produc1084374401od_b_b > set_Pr1190604087od_b_b > $o ).
thf(func_def_127,type,
member1744485444od_b_b: produc644633773od_b_b > set_Pr1021918435od_b_b > $o ).
thf(func_def_128,type,
member1516365892od_b_b: produc1213276845od_b_b > set_Pr1324126435od_b_b > $o ).
thf(func_def_129,type,
member832397200_a_nat: produc1871334759_a_nat > set_Pr1987088711_a_nat > $o ).
thf(func_def_130,type,
member1086024932od_b_b: produc970027067od_b_b > set_Pr2109276827od_b_b > $o ).
thf(func_def_131,type,
member942707974od_b_b: produc1990339951od_b_b > set_Pr2134561957od_b_b > $o ).
thf(func_def_132,type,
member1417789726_b_b_b: produc276146823_b_b_b > set_Pr1906739389_b_b_b > $o ).
thf(func_def_133,type,
member1533761242od_b_b: produc1169496899od_b_b > set_Pr1954438265od_b_b > $o ).
thf(func_def_134,type,
member584645392_a_nat: produc398057191_a_nat > set_Pr924198087_a_nat > $o ).
thf(func_def_135,type,
member301892752od_b_b: produc1485083751od_b_b > set_Pr667377223od_b_b > $o ).
thf(func_def_136,type,
member1544800936_nat_b: produc845793663_nat_b > set_Pr812188767_nat_b > $o ).
thf(func_def_137,type,
member4694106od_b_b: produc1052326083od_b_b > set_Pr1071216121od_b_b > $o ).
thf(func_def_138,type,
member1652792080od_b_b: produc1168037607od_b_b > set_Pr2007082183od_b_b > $o ).
thf(func_def_139,type,
member351494440_b_b_b: produc2112523263_b_b_b > set_Pr357419743_b_b_b > $o ).
thf(func_def_140,type,
member599505522od_b_b: produc1605346267od_b_b > set_Pr2060523537od_b_b > $o ).
thf(func_def_141,type,
member641857272od_b_b: produc255402447od_b_b > set_Pr621705391od_b_b > $o ).
thf(func_def_142,type,
member1285940496od_b_b: product_prod_b_b > set_Product_prod_b_b > $o ).
thf(func_def_143,type,
member_b: b > set_b > $o ).
thf(func_def_144,type,
g: labele1159362096nt_a_b ).
thf(func_def_145,type,
l: set_St761939237tant_a ).
thf(func_def_146,type,
p: b > b > $o ).
thf(func_def_147,type,
f: b > b ).
thf(func_def_148,type,
l2: standard_Constant_a ).
thf(func_def_149,type,
x: b ).
thf(func_def_150,type,
y: b ).
thf(func_def_154,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_155,type,
vAND: $o > $o > $o ).
thf(func_def_156,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_157,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_158,type,
vNOT: $o > $o ).
thf(func_def_159,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_160,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_161,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_162,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_163,type,
vIMP: $o > $o > $o ).
thf(func_def_164,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_165,type,
vOR: $o > $o > $o ).
thf(func_def_166,type,
sP0: labele1835558936od_b_b > ( product_prod_b_b > b ) > set_Pr1324126435od_b_b > $o ).
thf(func_def_167,type,
sP1: labele1644675410od_b_b > ( produc1213276845od_b_b > b ) > set_Pr1324126435od_b_b > $o ).
thf(func_def_168,type,
sP2: labele1159362096nt_a_b > ( b > b ) > set_Pr1324126435od_b_b > $o ).
thf(func_def_169,type,
sP3: set_Product_prod_b_b > set_Product_prod_b_b > ( b > b > $o ) > $o ).
thf(func_def_170,type,
sP4: set_Pr154086431tant_a > set_Pr1324126435od_b_b > ( standard_Constant_a > product_prod_b_b > $o ) > $o ).
thf(func_def_171,type,
sP5: set_Pr1324126435od_b_b > set_Pr2007082183od_b_b > ( standard_Constant_a > product_prod_b_b > $o ) > $o ).
thf(func_def_172,type,
sP6: product_prod_b_b > set_Product_prod_b_b > set_Product_prod_b_b > $o ).
thf(func_def_173,type,
sP7: produc1213276845od_b_b > set_Pr154086431tant_a > set_Pr1324126435od_b_b > $o ).
thf(func_def_174,type,
sP8: produc1213276845od_b_b > set_Pr1324126435od_b_b > set_Pr2007082183od_b_b > $o ).
thf(func_def_175,type,
sK9: ( b > b ) > ( b > b ) > labele1159362096nt_a_b > b ).
thf(func_def_176,type,
sK10: set_Product_prod_b_b > produc1168037607od_b_b > product_prod_b_b ).
thf(func_def_177,type,
sK11: set_Pr1324126435od_b_b > produc970027067od_b_b > produc1213276845od_b_b ).
thf(func_def_178,type,
sK12: set_b > product_prod_b_b > b ).
thf(func_def_179,type,
sK13: labele1835558936od_b_b > ( product_prod_b_b > b ) > set_Pr1324126435od_b_b > standard_Constant_a ).
thf(func_def_180,type,
sK14: labele1835558936od_b_b > ( product_prod_b_b > b ) > set_Pr1324126435od_b_b > product_prod_b_b ).
thf(func_def_181,type,
sK15: labele1835558936od_b_b > ( product_prod_b_b > b ) > set_Pr1324126435od_b_b > product_prod_b_b ).
thf(func_def_182,type,
sK16: labele1644675410od_b_b > ( produc1213276845od_b_b > b ) > set_Pr1324126435od_b_b > standard_Constant_a ).
thf(func_def_183,type,
sK17: labele1644675410od_b_b > ( produc1213276845od_b_b > b ) > set_Pr1324126435od_b_b > produc1213276845od_b_b ).
thf(func_def_184,type,
sK18: labele1644675410od_b_b > ( produc1213276845od_b_b > b ) > set_Pr1324126435od_b_b > produc1213276845od_b_b ).
thf(func_def_185,type,
sK19: labele1159362096nt_a_b > ( b > b ) > set_Pr1324126435od_b_b > standard_Constant_a ).
thf(func_def_186,type,
sK20: labele1159362096nt_a_b > ( b > b ) > set_Pr1324126435od_b_b > b ).
thf(func_def_187,type,
sK21: labele1159362096nt_a_b > ( b > b ) > set_Pr1324126435od_b_b > b ).
thf(func_def_188,type,
sK22: product_prod_b_b > b ).
thf(func_def_189,type,
sK23: product_prod_b_b > b ).
thf(func_def_190,type,
sK24: produc1213276845od_b_b > standard_Constant_a ).
thf(func_def_191,type,
sK25: produc1213276845od_b_b > product_prod_b_b ).
thf(func_def_192,type,
sK26: ( product_prod_b_b > $o ) > b ).
thf(func_def_193,type,
sK27: ( product_prod_b_b > $o ) > b ).
thf(func_def_194,type,
sK28: ( produc1213276845od_b_b > $o ) > standard_Constant_a ).
thf(func_def_195,type,
sK29: ( produc1213276845od_b_b > $o ) > product_prod_b_b ).
thf(func_def_196,type,
sK30: product_prod_b_b > b ).
thf(func_def_197,type,
sK31: product_prod_b_b > b ).
thf(func_def_198,type,
sK32: produc1213276845od_b_b > standard_Constant_a ).
thf(func_def_199,type,
sK33: produc1213276845od_b_b > product_prod_b_b ).
thf(func_def_200,type,
sK34: ( product_prod_b_b > $o ) > b ).
thf(func_def_201,type,
sK35: ( product_prod_b_b > $o ) > b ).
thf(func_def_202,type,
sK36: ( produc1213276845od_b_b > $o ) > standard_Constant_a ).
thf(func_def_203,type,
sK37: ( produc1213276845od_b_b > $o ) > product_prod_b_b ).
thf(func_def_204,type,
sK38: produc1213276845od_b_b > standard_Constant_a ).
thf(func_def_205,type,
sK39: produc1213276845od_b_b > b ).
thf(func_def_206,type,
sK40: produc1213276845od_b_b > b ).
thf(func_def_207,type,
sK41: ( produc1213276845od_b_b > $o ) > standard_Constant_a ).
thf(func_def_208,type,
sK42: ( produc1213276845od_b_b > $o ) > b ).
thf(func_def_209,type,
sK43: ( produc1213276845od_b_b > $o ) > b ).
thf(func_def_210,type,
sK44: labele935650037_a_nat > labele1159362096nt_a_b > labele935650037_a_nat > set_Pr2106913242_nat_b ).
thf(func_def_211,type,
sK45: labele1159362096nt_a_b > labele1159362096nt_a_b > labele1159362096nt_a_b > set_Product_prod_b_b ).
thf(func_def_212,type,
sK46: set_Product_prod_b_b > set_Pr357419743_b_b_b > b > product_prod_b_b ).
thf(func_def_213,type,
sK47: set_Pr1324126435od_b_b > set_Pr1906739389_b_b_b > b > produc1213276845od_b_b ).
thf(func_def_214,type,
sK48: set_b > set_Pr621705391od_b_b > product_prod_b_b > b ).
thf(func_def_215,type,
sK49: set_Product_prod_b_b > set_Pr2007082183od_b_b > product_prod_b_b > product_prod_b_b ).
thf(func_def_216,type,
sK50: set_Pr1324126435od_b_b > set_Pr2134561957od_b_b > product_prod_b_b > produc1213276845od_b_b ).
thf(func_def_217,type,
sK51: set_b > set_Pr2060523537od_b_b > produc1213276845od_b_b > b ).
thf(func_def_218,type,
sK52: set_Product_prod_b_b > set_Pr1071216121od_b_b > produc1213276845od_b_b > product_prod_b_b ).
thf(func_def_219,type,
sK53: set_Pr1324126435od_b_b > set_Pr2109276827od_b_b > produc1213276845od_b_b > produc1213276845od_b_b ).
thf(func_def_220,type,
sK54: set_b > set_Product_prod_b_b > b > b ).
thf(func_def_221,type,
sK55: set_St761939237tant_a > set_Pr1324126435od_b_b > product_prod_b_b > standard_Constant_a ).
thf(func_def_222,type,
sK56: set_Product_prod_b_b > set_Product_prod_b_b > ( b > b > $o ) > b ).
thf(func_def_223,type,
sK57: set_Product_prod_b_b > set_Product_prod_b_b > ( b > b > $o ) > b ).
thf(func_def_224,type,
sK58: set_Product_prod_b_b > set_Product_prod_b_b > ( b > b > $o ) > b ).
thf(func_def_225,type,
sK59: set_Pr154086431tant_a > set_Pr1324126435od_b_b > ( standard_Constant_a > product_prod_b_b > $o ) > standard_Constant_a ).
thf(func_def_226,type,
sK60: set_Pr154086431tant_a > set_Pr1324126435od_b_b > ( standard_Constant_a > product_prod_b_b > $o ) > standard_Constant_a ).
thf(func_def_227,type,
sK61: set_Pr154086431tant_a > set_Pr1324126435od_b_b > ( standard_Constant_a > product_prod_b_b > $o ) > product_prod_b_b ).
thf(func_def_228,type,
sK62: set_Pr1324126435od_b_b > set_Pr2007082183od_b_b > ( standard_Constant_a > product_prod_b_b > $o ) > standard_Constant_a ).
thf(func_def_229,type,
sK63: set_Pr1324126435od_b_b > set_Pr2007082183od_b_b > ( standard_Constant_a > product_prod_b_b > $o ) > product_prod_b_b ).
thf(func_def_230,type,
sK64: set_Pr1324126435od_b_b > set_Pr2007082183od_b_b > ( standard_Constant_a > product_prod_b_b > $o ) > product_prod_b_b ).
thf(func_def_231,type,
sK65: set_Product_prod_b_b > set_Product_prod_b_b > b > b > b ).
thf(func_def_232,type,
sK66: set_Pr1324126435od_b_b > set_Pr154086431tant_a > product_prod_b_b > standard_Constant_a > standard_Constant_a ).
thf(func_def_233,type,
sK67: set_Pr2007082183od_b_b > set_Pr1324126435od_b_b > product_prod_b_b > standard_Constant_a > product_prod_b_b ).
thf(func_def_234,type,
sK68: set_Product_prod_b_b > set_Product_prod_b_b > b > b > b ).
thf(func_def_235,type,
sK69: set_Pr1324126435od_b_b > set_Pr154086431tant_a > product_prod_b_b > standard_Constant_a > standard_Constant_a ).
thf(func_def_236,type,
sK70: set_Pr2007082183od_b_b > set_Pr1324126435od_b_b > product_prod_b_b > standard_Constant_a > product_prod_b_b ).
thf(func_def_237,type,
sK71: product_prod_b_b > set_Product_prod_b_b > set_Product_prod_b_b > b ).
thf(func_def_238,type,
sK72: product_prod_b_b > set_Product_prod_b_b > set_Product_prod_b_b > b ).
thf(func_def_239,type,
sK73: product_prod_b_b > set_Product_prod_b_b > set_Product_prod_b_b > b ).
thf(func_def_240,type,
sK74: produc1213276845od_b_b > set_Pr154086431tant_a > set_Pr1324126435od_b_b > standard_Constant_a ).
thf(func_def_241,type,
sK75: produc1213276845od_b_b > set_Pr154086431tant_a > set_Pr1324126435od_b_b > standard_Constant_a ).
thf(func_def_242,type,
sK76: produc1213276845od_b_b > set_Pr154086431tant_a > set_Pr1324126435od_b_b > product_prod_b_b ).
thf(func_def_243,type,
sK77: produc1213276845od_b_b > set_Pr1324126435od_b_b > set_Pr2007082183od_b_b > standard_Constant_a ).
thf(func_def_244,type,
sK78: produc1213276845od_b_b > set_Pr1324126435od_b_b > set_Pr2007082183od_b_b > product_prod_b_b ).
thf(func_def_245,type,
sK79: produc1213276845od_b_b > set_Pr1324126435od_b_b > set_Pr2007082183od_b_b > product_prod_b_b ).
thf(func_def_246,type,
sK80: set_Product_prod_b_b > set_Product_prod_b_b > b ).
thf(func_def_247,type,
sK81: set_Product_prod_b_b > set_Product_prod_b_b > b ).
thf(func_def_248,type,
sK82: set_Pr1324126435od_b_b > set_Pr1324126435od_b_b > standard_Constant_a ).
thf(func_def_249,type,
sK83: set_Pr1324126435od_b_b > set_Pr1324126435od_b_b > product_prod_b_b ).
thf(func_def_250,type,
sK84: set_Pr2106913242_nat_b > labele1159362096nt_a_b > labele935650037_a_nat > set_Pr2106913242_nat_b ).
thf(func_def_251,type,
sK85: set_Product_prod_b_b > labele1159362096nt_a_b > labele1159362096nt_a_b > set_Product_prod_b_b ).
thf(func_def_252,type,
sK86: set_b > set_b > b ).
thf(func_def_253,type,
sK87: set_Product_prod_b_b > set_Product_prod_b_b > product_prod_b_b ).
thf(func_def_254,type,
sK88: set_Pr1324126435od_b_b > set_Pr1324126435od_b_b > produc1213276845od_b_b ).
thf(func_def_255,type,
sK89: set_Product_prod_b_b > product_prod_b_b ).
thf(func_def_256,type,
sK90: set_Pr1324126435od_b_b > produc1213276845od_b_b ).
thf(func_def_257,type,
sK91: set_b > b ).
thf(func_def_258,type,
sK92: set_Pr1987088711_a_nat > produc1871334759_a_nat ).
thf(func_def_259,type,
sK93: set_Pr1987088711_a_nat > produc1871334759_a_nat > set_Pr1987088711_a_nat ).
thf(func_def_260,type,
sK94: set_b > b > set_b ).
thf(func_def_261,type,
sK95: set_Product_prod_b_b > product_prod_b_b > set_Product_prod_b_b ).
thf(func_def_262,type,
sK96: set_Pr1324126435od_b_b > produc1213276845od_b_b > set_Pr1324126435od_b_b ).
thf(func_def_263,type,
sK97: set_Pr1987088711_a_nat > produc1871334759_a_nat > set_Pr1987088711_a_nat ).
thf(func_def_264,type,
sK98: set_b > b > set_b ).
thf(func_def_265,type,
sK99: set_Product_prod_b_b > product_prod_b_b > set_Product_prod_b_b ).
thf(func_def_266,type,
sK100: set_Pr1324126435od_b_b > produc1213276845od_b_b > set_Pr1324126435od_b_b ).
thf(func_def_267,type,
sK101: set_Pr1324126435od_b_b > produc1213276845od_b_b > set_Pr1324126435od_b_b > produc1213276845od_b_b > set_Pr1324126435od_b_b ).
thf(func_def_268,type,
sK102: 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_269,type,
sK103: set_b > b > set_b > b > set_b ).
thf(func_def_270,type,
sK104: set_Pr1987088711_a_nat > produc1871334759_a_nat > set_Pr1987088711_a_nat > produc1871334759_a_nat > set_Pr1987088711_a_nat ).
thf(func_def_271,type,
sK105: set_Pr1324126435od_b_b > set_Pr1324126435od_b_b > produc1213276845od_b_b ).
thf(func_def_272,type,
sK106: set_Product_prod_b_b > set_Product_prod_b_b > product_prod_b_b ).
thf(func_def_273,type,
sK107: set_b > set_b > b ).
thf(func_def_274,type,
sK108: set_Pr1324126435od_b_b > set_Pr1324126435od_b_b > produc1213276845od_b_b ).
thf(func_def_275,type,
sK109: set_Product_prod_b_b > set_Product_prod_b_b > product_prod_b_b ).
thf(func_def_276,type,
sK110: set_b > set_b > b ).
thf(func_def_277,type,
sK111: set_Pr1987088711_a_nat > produc1871334759_a_nat ).
thf(func_def_278,type,
sK112: set_b > b ).
thf(func_def_279,type,
sK113: set_Pr1324126435od_b_b > produc1213276845od_b_b ).
thf(func_def_280,type,
sK114: set_Product_prod_b_b > product_prod_b_b ).
thf(func_def_281,type,
sK115: set_Pr1324126435od_b_b > produc1213276845od_b_b > set_Pr1324126435od_b_b > produc1213276845od_b_b ).
thf(func_def_282,type,
sK116: set_Pr1324126435od_b_b > produc1213276845od_b_b > set_Pr1324126435od_b_b > produc1213276845od_b_b ).
thf(func_def_283,type,
sK117: set_Pr1324126435od_b_b > set_Pr1324126435od_b_b > produc1213276845od_b_b ).
thf(func_def_284,type,
sK118: set_Product_prod_b_b > product_prod_b_b > set_Product_prod_b_b > product_prod_b_b ).
thf(func_def_285,type,
sK119: set_Product_prod_b_b > product_prod_b_b > set_Product_prod_b_b > product_prod_b_b ).
thf(func_def_286,type,
sK120: set_Product_prod_b_b > set_Product_prod_b_b > product_prod_b_b ).
thf(func_def_287,type,
sK121: set_b > b > set_b > b ).
thf(func_def_288,type,
sK122: set_b > b > set_b > b ).
thf(func_def_289,type,
sK123: set_b > set_b > b ).
thf(func_def_290,type,
sK124: set_b > b ).
thf(func_def_291,type,
sK125: set_Pr1987088711_a_nat > produc1871334759_a_nat ).
thf(func_def_292,type,
sK126: set_b > b ).
thf(func_def_293,type,
sK127: set_Pr1324126435od_b_b > produc1213276845od_b_b ).
thf(func_def_294,type,
sK128: set_Product_prod_b_b > product_prod_b_b ).
thf(func_def_295,type,
sK129: ( produc1871334759_a_nat > $o ) > produc1871334759_a_nat ).
thf(func_def_296,type,
sK130: ( b > $o ) > b ).
thf(func_def_297,type,
sK131: ( produc1871334759_a_nat > $o ) > produc1871334759_a_nat ).
thf(func_def_298,type,
sK132: ( b > $o ) > b ).
thf(func_def_299,type,
sK133: set_Product_prod_b_b > set_Product_prod_b_b > product_prod_b_b ).
thf(func_def_300,type,
sK134: set_Product_prod_b_b > b > b > b ).
thf(func_def_301,type,
sK135: set_Pr2109276827od_b_b > produc1213276845od_b_b > produc1213276845od_b_b > produc1213276845od_b_b ).
thf(func_def_302,type,
sK136: set_Pr2007082183od_b_b > product_prod_b_b > product_prod_b_b > product_prod_b_b ).
thf(func_def_303,type,
sK137: set_b > b > b ).
thf(func_def_304,type,
sK138: set_b > b > b ).
thf(func_def_305,type,
sK139: labele1159362096nt_a_b > labele1159362096nt_a_b > produc1213276845od_b_b ).
thf(func_def_306,type,
sK140: labele1159362096nt_a_b > labele1159362096nt_a_b > b ).
thf(func_def_307,type,
sK141: labele1159362096nt_a_b > produc1213276845od_b_b ).
thf(func_def_308,type,
sK142: labele1159362096nt_a_b > labele1159362096nt_a_b > b ).
thf(func_def_309,type,
sK143: labele1159362096nt_a_b > labele1159362096nt_a_b > produc1213276845od_b_b ).
thf(func_def_310,type,
sK144: set_b > set_b > b ).
thf(func_def_311,type,
sK145: set_Product_prod_b_b > set_Product_prod_b_b > product_prod_b_b ).
thf(func_def_312,type,
sK146: product_prod_b_b > set_Pr2007082183od_b_b > standard_Constant_a > set_Pr1324126435od_b_b > product_prod_b_b ).
thf(func_def_313,type,
sK147: product_prod_b_b > set_Pr2007082183od_b_b > standard_Constant_a > set_Pr1324126435od_b_b > product_prod_b_b ).
thf(func_def_314,type,
sK148: product_prod_b_b > set_Pr2007082183od_b_b > standard_Constant_a > set_Pr1324126435od_b_b > standard_Constant_a ).
thf(func_def_315,type,
sK149: product_prod_b_b > set_Pr1324126435od_b_b > standard_Constant_a > set_Pr154086431tant_a > product_prod_b_b ).
thf(func_def_316,type,
sK150: product_prod_b_b > set_Pr1324126435od_b_b > standard_Constant_a > set_Pr154086431tant_a > standard_Constant_a ).
thf(func_def_317,type,
sK151: product_prod_b_b > set_Pr1324126435od_b_b > standard_Constant_a > set_Pr154086431tant_a > standard_Constant_a ).
thf(func_def_318,type,
sK152: b > set_Product_prod_b_b > b > set_Product_prod_b_b > b ).
thf(func_def_319,type,
sK153: b > set_Product_prod_b_b > b > set_Product_prod_b_b > b ).
thf(func_def_320,type,
sK154: b > set_Product_prod_b_b > b > set_Product_prod_b_b > b ).
thf(func_def_321,type,
sK155: set_Pr1324126435od_b_b > set_St761939237tant_a > product_prod_b_b > standard_Constant_a ).
thf(func_def_322,type,
sK156: set_Product_prod_b_b > set_b > b > b ).
thf(func_def_323,type,
sK157: labele1159362096nt_a_b > labele1159362096nt_a_b > b ).
thf(func_def_324,type,
sK158: labele1159362096nt_a_b > labele1159362096nt_a_b > produc1213276845od_b_b ).
thf(func_def_325,type,
sK159: set_Product_prod_b_b > labele1159362096nt_a_b > set_Product_prod_b_b > b ).
thf(f3,axiom,
member_b @ ( f @ x ) @ ( labele1424214014nt_a_b @ g ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_fv_I1_J) ).
thf(f129,axiom,
( f
= ( ^ [X0: b] :
( if_b
@ ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ X0 @ bot_bot_set_b ) )
= bot_bot_set_b )
@ X0
@ ( hilbert_Eps_b @ ( p @ X0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_128__092_060open_062f_A_092_060equiv_062_A_092_060lambda_062x_O_Aif_AgetRel_AS__Idt_AG_A_096_096_A_123x_125_A_061_A_123_125_Athen_Ax_Aelse_AEps_A_IP_Ax_J_092_060close_062) ).
thf(f170,axiom,
! [X0: b] :
( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ X0 @ bot_bot_set_b ) )
= bot_bot_set_b )
= ( ~ ( member_b @ X0 @ ( labele1424214014nt_a_b @ g ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_169_r2) ).
thf(f354,axiom,
( p
= ( ^ [X0: b,X1: b] : ( member_b @ X1 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ X0 @ bot_bot_set_b ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_353_P) ).
thf(f357,axiom,
! [X0: $o] :
( ( X0 = $false )
| ( X0 = $true ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_If_3_1_If_001tf__b_T) ).
thf(f359,axiom,
! [X0: b,X1: b] :
( ( if_b @ $true @ X0 @ X1 )
= X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_If_1_1_If_001tf__b_T) ).
thf(f360,conjecture,
member_b @ x @ ( labele1424214014nt_a_b @ g ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f361,negated_conjecture,
~ ( member_b @ x @ ( labele1424214014nt_a_b @ g ) ),
inference(negated_conjecture,[status(cth)],[f360]) ).
thf(f366,plain,
member_b @ ( f @ x ) @ ( labele1424214014nt_a_b @ g ),
inference(rectify,[],[f3]) ).
thf(f367,plain,
( ( member_b @ ( f @ x ) @ ( labele1424214014nt_a_b @ g ) )
= $true ),
inference(fool_elimination,[],[f366]) ).
thf(f557,plain,
( f
= ( ^ [X0: b] :
( if_b
@ ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ X0 @ bot_bot_set_b ) )
= bot_bot_set_b )
@ X0
@ ( hilbert_Eps_b @ ( p @ X0 ) ) ) ) ),
inference(rectify,[],[f129]) ).
thf(f558,plain,
( f
= ( ^ [Y0: b] :
( if_b
@ ( bot_bot_set_b
= ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ Y0 @ bot_bot_set_b ) ) )
@ Y0
@ ( hilbert_Eps_b @ ( p @ Y0 ) ) ) ) ),
inference(fool_elimination,[],[f557]) ).
thf(f589,plain,
! [X0: b] :
( ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ X0 @ bot_bot_set_b ) )
= bot_bot_set_b )
= ( ~ ( member_b @ X0 @ ( labele1424214014nt_a_b @ g ) ) ) ),
inference(rectify,[],[f170]) ).
thf(f590,plain,
! [X0: b] :
( ( bot_bot_set_b
= ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ X0 @ bot_bot_set_b ) ) )
= ( ~ ( member_b @ X0 @ ( labele1424214014nt_a_b @ g ) ) ) ),
inference(fool_elimination,[],[f589]) ).
thf(f929,plain,
( p
= ( ^ [Y0: b,Y1: b] : ( member_b @ Y1 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ Y0 @ bot_bot_set_b ) ) ) ) ),
inference(fool_elimination,[],[f354]) ).
thf(f934,plain,
! [X0: $o] :
( ( $false = X0 )
| ( $true = X0 ) ),
inference(fool_elimination,[],[f357]) ).
thf(f937,plain,
! [X0: b,X1: b] :
( ( if_b @ $true @ X0 @ X1 )
= X0 ),
inference(rectify,[],[f359]) ).
thf(f938,plain,
! [X0: b,X1: b] :
( ( if_b @ $true @ X0 @ X1 )
= X0 ),
inference(fool_elimination,[],[f937]) ).
thf(f939,plain,
~ ( member_b @ x @ ( labele1424214014nt_a_b @ g ) ),
inference(rectify,[],[f361]) ).
thf(f940,plain,
( ( member_b @ x @ ( labele1424214014nt_a_b @ g ) )
!= $true ),
inference(fool_elimination,[],[f939]) ).
thf(f996,plain,
( ( member_b @ x @ ( labele1424214014nt_a_b @ g ) )
!= $true ),
inference(flattening,[],[f940]) ).
thf(f1413,plain,
( ( member_b @ ( f @ x ) @ ( labele1424214014nt_a_b @ g ) )
= $true ),
inference(cnf_transformation,[],[f367]) ).
thf(f1564,plain,
( f
= ( ^ [Y0: b] :
( if_b
@ ( bot_bot_set_b
= ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ Y0 @ bot_bot_set_b ) ) )
@ Y0
@ ( hilbert_Eps_b @ ( p @ Y0 ) ) ) ) ),
inference(cnf_transformation,[],[f558]) ).
thf(f1605,plain,
! [X0: b] :
( ( bot_bot_set_b
= ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ X0 @ bot_bot_set_b ) ) )
= ( ~ ( member_b @ X0 @ ( labele1424214014nt_a_b @ g ) ) ) ),
inference(cnf_transformation,[],[f590]) ).
thf(f1842,plain,
( p
= ( ^ [Y0: b,Y1: b] : ( member_b @ Y1 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ Y0 @ bot_bot_set_b ) ) ) ) ),
inference(cnf_transformation,[],[f929]) ).
thf(f1845,plain,
! [X0: $o] :
( ( $true = X0 )
| ( $false = X0 ) ),
inference(cnf_transformation,[],[f934]) ).
thf(f1847,plain,
! [X0: b,X1: b] :
( ( if_b @ $true @ X0 @ X1 )
= X0 ),
inference(cnf_transformation,[],[f938]) ).
thf(f1848,plain,
( ( member_b @ x @ ( labele1424214014nt_a_b @ g ) )
!= $true ),
inference(cnf_transformation,[],[f996]) ).
thf(f1851,plain,
( f
= ( ^ [Y0: b] :
( if_b
@ ( bot_bot_set_b
= ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ Y0 @ bot_bot_set_b ) ) )
@ Y0
@ ( hilbert_Eps_b
@ ( ^ [Y1: b,Y2: b] : ( member_b @ Y2 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ Y1 @ bot_bot_set_b ) ) )
@ Y0 ) ) ) ) ),
inference(definition_unfolding,[],[f1564,f1842]) ).
thf(f1854,plain,
( $true
= ( member_b
@ ( ^ [Y0: b] :
( if_b
@ ( bot_bot_set_b
= ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ Y0 @ bot_bot_set_b ) ) )
@ Y0
@ ( hilbert_Eps_b
@ ( ^ [Y1: b,Y2: b] : ( member_b @ Y2 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ Y1 @ bot_bot_set_b ) ) )
@ Y0 ) ) )
@ x )
@ ( labele1424214014nt_a_b @ g ) ) ),
inference(definition_unfolding,[],[f1413,f1851]) ).
thf(f2784,plain,
! [X0: b] :
( ( $true
= ( bot_bot_set_b
= ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ X0 @ bot_bot_set_b ) ) ) )
| ( ( ~ ( member_b @ X0 @ ( labele1424214014nt_a_b @ g ) ) )
= $false ) ),
inference(iff_proxy_clausification,[],[f1605]) ).
thf(f2788,plain,
! [X0: b] :
( ( bot_bot_set_b
= ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ X0 @ bot_bot_set_b ) ) )
| ( ( ~ ( member_b @ X0 @ ( labele1424214014nt_a_b @ g ) ) )
= $false ) ),
inference(equality_proxy_clausification,[],[f2784]) ).
thf(f2789,plain,
! [X0: b] :
( ( bot_bot_set_b
= ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ X0 @ bot_bot_set_b ) ) )
| ( ( member_b @ X0 @ ( labele1424214014nt_a_b @ g ) )
= $true ) ),
inference(not_proxy_clausification,[],[f2788]) ).
thf(f2964,plain,
( $true
= ( member_b
@ ( if_b
@ ( bot_bot_set_b
= ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) ) )
@ x
@ ( hilbert_Eps_b
@ ^ [Y0: b] : ( member_b @ Y0 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) ) ) ) )
@ ( labele1424214014nt_a_b @ g ) ) ),
inference(beta-eta_normalization,[],[f1854]) ).
thf(f3009,plain,
( ( $true
= ( member_b
@ ( if_b @ $true @ x
@ ( hilbert_Eps_b
@ ^ [Y0: b] : ( member_b @ Y0 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) ) ) ) )
@ ( labele1424214014nt_a_b @ g ) ) )
| ( $false
= ( bot_bot_set_b
= ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) ) ) ) ),
inference(constrained_superposition,[],[f2964,f1845]) ).
thf(f3010,plain,
( ( $true
= ( member_b
@ ( if_b @ $true @ x
@ ( hilbert_Eps_b
@ ^ [Y0: b] : ( member_b @ Y0 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) ) ) ) )
@ ( labele1424214014nt_a_b @ g ) ) )
| ( bot_bot_set_b
!= ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) ) ) ),
inference(equality_proxy_clausification,[],[f3009]) ).
thf(f3011,plain,
( ( ( member_b @ x @ ( labele1424214014nt_a_b @ g ) )
= $true )
| ( bot_bot_set_b
!= ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) ) ) ),
inference(forward_demodulation,[],[f3010,f1847]) ).
thf(f3012,plain,
( ( member_b @ x @ ( labele1424214014nt_a_b @ g ) )
= $true ),
inference(forward_subsumption_resolution,[],[f3011,f2789]) ).
thf(f3013,plain,
$false,
inference(forward_subsumption_resolution,[],[f3012,f1848]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP177^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.17 % Computer : n011.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Tue Sep 29 20:06:46 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 Running first-order model finding
% 0.08/0.20 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
% 1.75/0.58 % (576565)Will run a generic schedule for satisfiability detection.
% 1.75/0.58 % (576575)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1314362556:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.75/0.58 % (576571)% WARNING: option uhcvi not known.
% 1.75/0.58 % (576570)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2810453710_2999 on theBenchmark for (2999ds/0Mi)
% 1.75/0.58 % (576571)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2945482026:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.75/0.58 % (576572)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3507198621:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.75/0.58 % (576573)dis+10_1_sil=32000:sp=arity:random_seed=3677943760:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.75/0.58 % (576574)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2631347067:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.75/0.58 % (576576)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3266498061:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.75/0.58 % (576571)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.75/0.58 % (576574)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.75/0.58 % (576575)Instruction limit reached!
% 1.75/0.58 % (576575)------------------------------
% 1.75/0.58 % (576575)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.75/0.58 % (576575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.75/0.58 % (576575)CaDiCaL version: 2.1.3
% 1.75/0.58 % (576575)Termination reason: Instruction limit
% 1.75/0.58 % (576575)Termination phase: Saturation
% 1.75/0.58 % (576575)Time elapsed: 0.030 s
% 1.75/0.58 % (576575)Peak memory usage: 13 MB
% 1.75/0.58 % (576575)Instructions burned: 132 (million)
% 1.75/0.58 % (576584)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2975060199:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.75/0.58 % (576573)Instruction limit reached!
% 1.75/0.58 % (576573)------------------------------
% 1.75/0.58 % (576573)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.75/0.58 % (576573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.75/0.58 % (576573)CaDiCaL version: 2.1.3
% 1.75/0.58 % (576573)Termination reason: Instruction limit
% 1.75/0.58 % (576573)Termination phase: Property scanning
% 1.75/0.58 % (576573)Time elapsed: 0.044 s
% 1.75/0.58 % (576573)Peak memory usage: 12 MB
% 1.75/0.58 % (576573)Instructions burned: 105 (million)
% 1.75/0.58 % Exception at run slice level
% 1.75/0.58 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.75/0.58 % (576571)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 1.75/0.58 % (576574)Instruction limit reached!
% 1.75/0.58 % (576574)------------------------------
% 1.75/0.58 % (576574)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.75/0.58 % (576574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.75/0.58 % (576574)CaDiCaL version: 2.1.3
% 1.75/0.58 % (576574)Termination reason: Instruction limit
% 1.75/0.58 % (576574)Termination phase: Saturation
% 1.75/0.58 % (576574)Time elapsed: 0.049 s
% 1.75/0.58 % (576574)Peak memory usage: 13 MB
% 1.75/0.58 % (576574)Instructions burned: 116 (million)
% 1.75/0.58 % Exception at run slice level
% 1.75/0.58 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.75/0.58 % (576586)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3789688191:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.75/0.58 % (576587)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=4037331813:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 1.75/0.58 % (576588)ott-21_1_sil=16000:fs=off:random_seed=3134167135:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 1.75/0.58 % (576589)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1096541845:i=477:bd=all_2999 on theBenchmark for (2999ds/477Mi)
% 1.75/0.58 % (576587)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.75/0.58 % (576587)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 1.75/0.58 % (576586)Instruction limit reached!
% 1.75/0.58 % (576586)------------------------------
% 1.75/0.58 % (576586)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.75/0.58 % (576586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.75/0.58 % (576586)CaDiCaL version: 2.1.3
% 1.75/0.58 % (576586)Termination reason: Instruction limit
% 1.75/0.58 % (576586)Termination phase: Saturation
% 1.75/0.58 % (576586)Time elapsed: 0.055 s
% 1.75/0.58 % (576586)Peak memory usage: 13 MB
% 1.75/0.58 % (576586)Instructions burned: 133 (million)
% 1.75/0.58 % (576594)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=670221642:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 1.75/0.58 % (576576)Instruction limit reached!
% 1.75/0.58 % (576576)------------------------------
% 1.75/0.58 % (576576)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.75/0.58 % (576576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.75/0.58 % (576576)CaDiCaL version: 2.1.3
% 1.75/0.58 % (576576)Termination reason: Instruction limit
% 1.75/0.58 % (576576)Termination phase: Saturation
% 1.75/0.58 % (576576)Time elapsed: 0.130 s
% 1.75/0.58 % (576576)Peak memory usage: 13 MB
% 1.75/0.58 % (576576)Instructions burned: 160 (million)
% 1.75/0.58 % (576588)Instruction limit reached!
% 1.75/0.58 % (576588)------------------------------
% 1.75/0.58 % (576588)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.75/0.58 % (576588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.75/0.58 % (576588)CaDiCaL version: 2.1.3
% 1.75/0.58 % (576588)Termination reason: Instruction limit
% 1.75/0.58 % (576588)Termination phase: Saturation
% 1.75/0.58 % (576588)Time elapsed: 0.078 s
% 1.75/0.58 % (576588)Peak memory usage: 13 MB
% 1.75/0.58 % (576588)Instructions burned: 181 (million)
% 1.75/0.58 % (576597)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1244533494:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 1.75/0.58 % (576596)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=398286133:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 1.75/0.58 % Exception at run slice level
% 1.75/0.58 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.75/0.58 % (576600)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=456753080: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)
% 1.75/0.58 % (576589)Instruction limit reached!
% 1.75/0.58 % (576589)------------------------------
% 1.75/0.58 % (576589)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.75/0.58 % (576589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.75/0.58 % (576589)CaDiCaL version: 2.1.3
% 1.75/0.58 % (576589)Termination reason: Instruction limit
% 1.75/0.58 % (576589)Termination phase: Saturation
% 1.75/0.58 % (576589)Time elapsed: 0.139 s
% 1.75/0.58 % (576589)Peak memory usage: 15 MB
% 1.75/0.58 % (576589)Instructions burned: 480 (million)
% 1.75/0.58 % (576602)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2230830372:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 1.75/0.58 % Exception at run slice level
% 1.75/0.58 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.75/0.58 % (576602)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.75/0.58 % (576600)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.75/0.58 % (576604)fmb+10_1_sil=64000:random_seed=2072050786:i=22061:nm=2:gsp=on_2997 on theBenchmark for (2997ds/22061Mi)
% 1.75/0.58 % (576604)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 1.75/0.58 % Exception at run slice level
% 1.75/0.58 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.75/0.58 % (576600) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-576565-576600"...
% 1.75/0.58 % (576606)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2395171833:i=9515:nm=5_2996 on theBenchmark for (2996ds/9515Mi)
% 1.75/0.58 % (576600)...printing done.
% 1.75/0.58 % (576600)Refutation found. Thanks to Tanya!
% 1.75/0.58 % SZS status Theorem for theBenchmark
% 1.75/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.75/0.58 % (576600)------------------------------
% 1.75/0.58 % (576600)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.75/0.58 % (576600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.75/0.58 % (576600)CaDiCaL version: 2.1.3
% 1.75/0.58 % (576600)Termination reason: Refutation
% 1.75/0.58 % (576600)Time elapsed: 0.110 s
% 1.75/0.58 % (576600)Peak memory usage: 16 MB
% 1.75/0.58 % (576600)Instructions burned: 235 (million)
% 1.75/0.58 % (576565)Success in time 0.366 s
% 1.75/0.58 % Vampire exiting
%------------------------------------------------------------------------------