%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n014.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 08:08:41 AM UTC 2026
% Result : Theorem 0.30s 0.40s
% Output : Refutation 0.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 17 unt; 0 typ; 2 def)
% Number of atoms : 76 ( 17 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 115 ( 16 ~; 8 |; 0 &; 86 @)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 53 ( 52 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 285 ( 282 usr; 19 con; 0-4 aty)
% Number of variables : 5 ( 0 sgn 5 !; 0 ?; 5 :)
% 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,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_155,type,
vIMP: $o > $o > $o ).
thf(func_def_156,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_157,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_158,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_159,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_160,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_161,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_162,type,
sK0: set_Pr1324126435od_b_b > product_prod_b_b > set_St761939237tant_a > standard_Constant_a ).
thf(func_def_163,type,
sK1: ( standard_Constant_a > product_prod_b_b > $o ) > set_Pr154086431tant_a > set_Pr1324126435od_b_b > standard_Constant_a ).
thf(func_def_164,type,
sK2: ( standard_Constant_a > product_prod_b_b > $o ) > set_Pr154086431tant_a > set_Pr1324126435od_b_b > product_prod_b_b ).
thf(func_def_165,type,
sK3: ( standard_Constant_a > product_prod_b_b > $o ) > set_Pr154086431tant_a > set_Pr1324126435od_b_b > standard_Constant_a ).
thf(func_def_166,type,
sK4: set_Pr1324126435od_b_b > standard_Constant_a > product_prod_b_b > set_Pr154086431tant_a > standard_Constant_a ).
thf(func_def_167,type,
sK5: set_Product_prod_b_b > set_Product_prod_b_b > product_prod_b_b ).
thf(func_def_168,type,
sK6: product_prod_b_b > set_Pr621705391od_b_b > set_b > b ).
thf(func_def_169,type,
sK7: set_b > set_b > b ).
thf(func_def_170,type,
sK8: set_Pr1987088711_a_nat > produc1871334759_a_nat > set_Pr1987088711_a_nat ).
thf(func_def_171,type,
sK9: set_Pr1987088711_a_nat > produc1871334759_a_nat ).
thf(func_def_172,type,
sK10: set_b > b > set_b ).
thf(func_def_173,type,
sK11: set_Pr2007082183od_b_b > ( standard_Constant_a > product_prod_b_b > $o ) > set_Pr1324126435od_b_b > product_prod_b_b ).
thf(func_def_174,type,
sK12: set_Pr2007082183od_b_b > ( standard_Constant_a > product_prod_b_b > $o ) > set_Pr1324126435od_b_b > standard_Constant_a ).
thf(func_def_175,type,
sK13: set_Pr2007082183od_b_b > ( standard_Constant_a > product_prod_b_b > $o ) > set_Pr1324126435od_b_b > product_prod_b_b ).
thf(func_def_176,type,
sK14: set_b > b ).
thf(func_def_177,type,
sK15: produc1213276845od_b_b > product_prod_b_b ).
thf(func_def_178,type,
sK16: produc1213276845od_b_b > standard_Constant_a ).
thf(func_def_179,type,
sK17: product_prod_b_b > standard_Constant_a > set_Pr154086431tant_a > set_Pr1324126435od_b_b > standard_Constant_a ).
thf(func_def_180,type,
sK18: produc1213276845od_b_b > set_Pr154086431tant_a > set_Pr1324126435od_b_b > standard_Constant_a ).
thf(func_def_181,type,
sK19: produc1213276845od_b_b > set_Pr154086431tant_a > set_Pr1324126435od_b_b > product_prod_b_b ).
thf(func_def_182,type,
sK20: produc1213276845od_b_b > set_Pr154086431tant_a > set_Pr1324126435od_b_b > standard_Constant_a ).
thf(func_def_183,type,
sK21: product_prod_b_b > set_Pr2007082183od_b_b > set_Pr1324126435od_b_b > standard_Constant_a > standard_Constant_a ).
thf(func_def_184,type,
sK22: product_prod_b_b > set_Pr2007082183od_b_b > set_Pr1324126435od_b_b > standard_Constant_a > product_prod_b_b ).
thf(func_def_185,type,
sK23: product_prod_b_b > set_Pr2007082183od_b_b > set_Pr1324126435od_b_b > standard_Constant_a > product_prod_b_b ).
thf(func_def_186,type,
sK24: b > set_Product_prod_b_b > b > set_Product_prod_b_b > b ).
thf(func_def_187,type,
sK25: labele1159362096nt_a_b > labele935650037_a_nat > labele935650037_a_nat > set_Pr2106913242_nat_b ).
thf(func_def_188,type,
sK26: set_Pr1324126435od_b_b > produc1213276845od_b_b ).
thf(func_def_189,type,
sK27: set_Product_prod_b_b > product_prod_b_b > set_Product_prod_b_b > b ).
thf(func_def_190,type,
sK28: set_Product_prod_b_b > product_prod_b_b > set_Product_prod_b_b > b ).
thf(func_def_191,type,
sK29: set_Product_prod_b_b > product_prod_b_b > set_Product_prod_b_b > b ).
thf(func_def_192,type,
sK30: set_Pr1987088711_a_nat > produc1871334759_a_nat > set_Pr1987088711_a_nat ).
thf(func_def_193,type,
sK31: product_prod_b_b > b ).
thf(func_def_194,type,
sK32: product_prod_b_b > b ).
thf(func_def_195,type,
sK33: standard_Constant_a > set_Pr1324126435od_b_b > set_Pr2007082183od_b_b > product_prod_b_b > product_prod_b_b ).
thf(func_def_196,type,
sK34: b > set_Pr1324126435od_b_b > set_Pr1906739389_b_b_b > produc1213276845od_b_b ).
thf(func_def_197,type,
sK35: ( b > $o ) > b ).
thf(func_def_198,type,
sK36: set_b > b ).
thf(func_def_199,type,
sK37: set_Product_prod_b_b > produc1168037607od_b_b > product_prod_b_b ).
thf(func_def_200,type,
sK38: set_b > b ).
thf(func_def_201,type,
sK39: labele1159362096nt_a_b > labele1159362096nt_a_b > set_Product_prod_b_b > set_Product_prod_b_b ).
thf(func_def_202,type,
sK40: b > b > set_Product_prod_b_b > set_Product_prod_b_b > b ).
thf(func_def_203,type,
sK41: b > b > set_Product_prod_b_b > set_Product_prod_b_b > b ).
thf(func_def_204,type,
sK42: b > b > set_Product_prod_b_b > set_Product_prod_b_b > b ).
thf(func_def_205,type,
sK43: ( produc1871334759_a_nat > $o ) > produc1871334759_a_nat ).
thf(func_def_206,type,
sK44: set_Pr2134561957od_b_b > product_prod_b_b > set_Pr1324126435od_b_b > produc1213276845od_b_b ).
thf(func_def_207,type,
sK45: ( produc1213276845od_b_b > $o ) > standard_Constant_a ).
thf(func_def_208,type,
sK46: ( produc1213276845od_b_b > $o ) > b ).
thf(func_def_209,type,
sK47: ( produc1213276845od_b_b > $o ) > b ).
thf(func_def_210,type,
sK48: product_prod_b_b > set_b > b ).
thf(func_def_211,type,
sK49: product_prod_b_b > set_Product_prod_b_b > set_Product_prod_b_b ).
thf(func_def_212,type,
sK50: set_Pr1071216121od_b_b > set_Product_prod_b_b > produc1213276845od_b_b > product_prod_b_b ).
thf(func_def_213,type,
sK51: set_Pr1324126435od_b_b > produc1213276845od_b_b ).
thf(func_def_214,type,
sK52: ( produc1213276845od_b_b > $o ) > standard_Constant_a ).
thf(func_def_215,type,
sK53: ( produc1213276845od_b_b > $o ) > product_prod_b_b ).
thf(func_def_216,type,
sK54: standard_Constant_a > product_prod_b_b > set_Pr2007082183od_b_b > set_Pr1324126435od_b_b > product_prod_b_b ).
thf(func_def_217,type,
sK55: set_b > b > set_b ).
thf(func_def_218,type,
sK56: b > set_b > b > set_b > set_b ).
thf(func_def_219,type,
sK57: produc1871334759_a_nat > produc1871334759_a_nat > set_Pr1987088711_a_nat > set_Pr1987088711_a_nat > set_Pr1987088711_a_nat ).
thf(func_def_220,type,
sK58: ( product_prod_b_b > $o ) > b ).
thf(func_def_221,type,
sK59: ( product_prod_b_b > $o ) > b ).
thf(func_def_222,type,
sK60: set_Product_prod_b_b > set_Product_prod_b_b > b ).
thf(func_def_223,type,
sK61: set_Product_prod_b_b > set_Product_prod_b_b > b ).
thf(func_def_224,type,
sK62: set_Pr1324126435od_b_b > set_Pr1324126435od_b_b > product_prod_b_b ).
thf(func_def_225,type,
sK63: set_Pr1324126435od_b_b > set_Pr1324126435od_b_b > standard_Constant_a ).
thf(func_def_226,type,
sK64: b > set_b > set_Product_prod_b_b > b ).
thf(func_def_227,type,
sK65: product_prod_b_b > set_Pr154086431tant_a > set_Pr1324126435od_b_b > standard_Constant_a > standard_Constant_a ).
thf(func_def_228,type,
sK66: product_prod_b_b > set_Pr154086431tant_a > set_Pr1324126435od_b_b > standard_Constant_a > product_prod_b_b ).
thf(func_def_229,type,
sK67: product_prod_b_b > set_Pr154086431tant_a > set_Pr1324126435od_b_b > standard_Constant_a > standard_Constant_a ).
thf(func_def_230,type,
sK68: produc1213276845od_b_b > product_prod_b_b ).
thf(func_def_231,type,
sK69: produc1213276845od_b_b > standard_Constant_a ).
thf(func_def_232,type,
sK70: set_Pr1987088711_a_nat > produc1871334759_a_nat ).
thf(func_def_233,type,
sK71: ( produc1213276845od_b_b > $o ) > standard_Constant_a ).
thf(func_def_234,type,
sK72: ( produc1213276845od_b_b > $o ) > product_prod_b_b ).
thf(func_def_235,type,
sK73: set_Pr2007082183od_b_b > produc1213276845od_b_b > set_Pr1324126435od_b_b > product_prod_b_b ).
thf(func_def_236,type,
sK74: set_Pr2007082183od_b_b > produc1213276845od_b_b > set_Pr1324126435od_b_b > product_prod_b_b ).
thf(func_def_237,type,
sK75: set_Pr2007082183od_b_b > produc1213276845od_b_b > set_Pr1324126435od_b_b > standard_Constant_a ).
thf(func_def_238,type,
sK76: produc1213276845od_b_b > set_Pr1324126435od_b_b > set_Pr1324126435od_b_b ).
thf(func_def_239,type,
sK77: set_Product_prod_b_b > set_Product_prod_b_b > ( b > b > $o ) > b ).
thf(func_def_240,type,
sK78: set_Product_prod_b_b > set_Product_prod_b_b > ( b > b > $o ) > b ).
thf(func_def_241,type,
sK79: set_Product_prod_b_b > set_Product_prod_b_b > ( b > b > $o ) > b ).
thf(func_def_242,type,
sK80: set_Pr1324126435od_b_b > produc1213276845od_b_b ).
thf(func_def_243,type,
sK81: ( product_prod_b_b > $o ) > b ).
thf(func_def_244,type,
sK82: ( product_prod_b_b > $o ) > b ).
thf(func_def_245,type,
sK83: product_prod_b_b > b ).
thf(func_def_246,type,
sK84: product_prod_b_b > b ).
thf(func_def_247,type,
sK85: ( b > b ) > set_Pr1324126435od_b_b > labele1159362096nt_a_b > b ).
thf(func_def_248,type,
sK86: ( b > b ) > set_Pr1324126435od_b_b > labele1159362096nt_a_b > b ).
thf(func_def_249,type,
sK87: ( b > b ) > set_Pr1324126435od_b_b > labele1159362096nt_a_b > standard_Constant_a ).
thf(func_def_250,type,
sK88: set_Product_prod_b_b > product_prod_b_b ).
thf(func_def_251,type,
sK89: set_Pr1324126435od_b_b > set_Pr1324126435od_b_b > produc1213276845od_b_b ).
thf(func_def_252,type,
sK90: labele1159362096nt_a_b > labele1159362096nt_a_b > labele1159362096nt_a_b > set_Product_prod_b_b ).
thf(func_def_253,type,
sK91: set_Pr1987088711_a_nat > produc1871334759_a_nat ).
thf(func_def_254,type,
sK92: set_Product_prod_b_b > b > b > set_Product_prod_b_b > b ).
thf(func_def_255,type,
sK93: produc1213276845od_b_b > set_Pr1324126435od_b_b > set_Pr1324126435od_b_b ).
thf(func_def_256,type,
sK94: set_b > set_Pr2060523537od_b_b > produc1213276845od_b_b > b ).
thf(func_def_257,type,
sK95: b > set_Pr357419743_b_b_b > set_Product_prod_b_b > product_prod_b_b ).
thf(func_def_258,type,
sK96: labele1835558936od_b_b > ( product_prod_b_b > b ) > set_Pr1324126435od_b_b > standard_Constant_a ).
thf(func_def_259,type,
sK97: labele1835558936od_b_b > ( product_prod_b_b > b ) > set_Pr1324126435od_b_b > product_prod_b_b ).
thf(func_def_260,type,
sK98: labele1835558936od_b_b > ( product_prod_b_b > b ) > set_Pr1324126435od_b_b > product_prod_b_b ).
thf(func_def_261,type,
sK99: b > set_b > set_Product_prod_b_b > b ).
thf(func_def_262,type,
sK100: set_Product_prod_b_b > product_prod_b_b ).
thf(func_def_263,type,
sK101: produc970027067od_b_b > set_Pr1324126435od_b_b > produc1213276845od_b_b ).
thf(func_def_264,type,
sK102: product_prod_b_b > set_Pr2007082183od_b_b > set_Product_prod_b_b > product_prod_b_b ).
thf(func_def_265,type,
sK103: 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_266,type,
sK104: ( produc1213276845od_b_b > b ) > set_Pr1324126435od_b_b > labele1644675410od_b_b > standard_Constant_a ).
thf(func_def_267,type,
sK105: ( produc1213276845od_b_b > b ) > set_Pr1324126435od_b_b > labele1644675410od_b_b > produc1213276845od_b_b ).
thf(func_def_268,type,
sK106: ( produc1213276845od_b_b > b ) > set_Pr1324126435od_b_b > labele1644675410od_b_b > produc1213276845od_b_b ).
thf(func_def_269,type,
sK107: produc1213276845od_b_b > b ).
thf(func_def_270,type,
sK108: produc1213276845od_b_b > b ).
thf(func_def_271,type,
sK109: produc1213276845od_b_b > standard_Constant_a ).
thf(func_def_272,type,
sK110: produc1213276845od_b_b > produc1213276845od_b_b > set_Pr1324126435od_b_b > set_Pr1324126435od_b_b > set_Pr1324126435od_b_b ).
thf(func_def_273,type,
sK111: ( b > $o ) > b ).
thf(func_def_274,type,
sK112: set_Product_prod_b_b > product_prod_b_b ).
thf(func_def_275,type,
sK113: ( produc1871334759_a_nat > $o ) > produc1871334759_a_nat ).
thf(func_def_276,type,
sK114: set_Pr2109276827od_b_b > set_Pr1324126435od_b_b > produc1213276845od_b_b > produc1213276845od_b_b ).
thf(func_def_277,type,
sK115: product_prod_b_b > set_Pr1324126435od_b_b > set_St761939237tant_a > standard_Constant_a ).
thf(func_def_278,type,
sK116: set_Pr2106913242_nat_b > labele935650037_a_nat > labele1159362096nt_a_b > set_Pr2106913242_nat_b ).
thf(func_def_279,type,
sK117: ( b > b ) > labele1159362096nt_a_b > ( b > b ) > b ).
thf(func_def_280,type,
sK118: product_prod_b_b > set_Product_prod_b_b > set_Product_prod_b_b ).
thf(func_def_281,type,
vNOT: $o > $o ).
thf(f1,axiom,
! [X0: b] :
( ( member_b @ ( f @ X0 ) @ ( labele1424214014nt_a_b @ g ) )
=> ( member_b @ X0 @ ( labele1424214014nt_a_b @ g ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0__092_060open_062_092_060And_062xa_O_A_092_060lbrakk_062f_Axa_A_092_060in_062_Avertices_AG_059_Axa_A_092_060notin_062_Avertices_AG_092_060rbrakk_062_A_092_060Longrightarrow_062_AFalse_092_060close_062) ).
thf(f3,axiom,
member_b @ ( f @ x ) @ ( labele1424214014nt_a_b @ g ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_fv_I1_J) ).
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(f786,plain,
~ ( member_b @ x @ ( labele1424214014nt_a_b @ g ) ),
inference(rectify,[],[f361]) ).
thf(f787,plain,
( ( member_b @ x @ ( labele1424214014nt_a_b @ g ) )
!= $true ),
inference(fool_elimination,[],[f786]) ).
thf(f924,plain,
! [X0: b] :
( ( member_b @ ( f @ X0 ) @ ( labele1424214014nt_a_b @ g ) )
=> ( member_b @ X0 @ ( labele1424214014nt_a_b @ g ) ) ),
inference(rectify,[],[f1]) ).
thf(f925,plain,
! [X0: b] :
( ( ( member_b @ ( f @ X0 ) @ ( labele1424214014nt_a_b @ g ) )
= $true )
=> ( ( member_b @ X0 @ ( labele1424214014nt_a_b @ g ) )
= $true ) ),
inference(fool_elimination,[],[f924]) ).
thf(f940,plain,
member_b @ ( f @ x ) @ ( labele1424214014nt_a_b @ g ),
inference(rectify,[],[f3]) ).
thf(f941,plain,
( ( member_b @ ( f @ x ) @ ( labele1424214014nt_a_b @ g ) )
= $true ),
inference(fool_elimination,[],[f940]) ).
thf(f1012,plain,
( ( member_b @ x @ ( labele1424214014nt_a_b @ g ) )
!= $true ),
inference(flattening,[],[f787]) ).
thf(f1085,plain,
! [X0: b] :
( ( ( member_b @ ( f @ X0 ) @ ( labele1424214014nt_a_b @ g ) )
!= $true )
| ( ( member_b @ X0 @ ( labele1424214014nt_a_b @ g ) )
= $true ) ),
inference(ennf_transformation,[],[f925]) ).
thf(f1749,plain,
! [X0: b] :
( ( ( member_b @ ( f @ X0 ) @ ( labele1424214014nt_a_b @ g ) )
!= $true )
| ( ( member_b @ X0 @ ( labele1424214014nt_a_b @ g ) )
= $true ) ),
inference(cnf_transformation,[],[f1085]) ).
thf(f1830,plain,
( ( member_b @ ( f @ x ) @ ( labele1424214014nt_a_b @ g ) )
= $true ),
inference(cnf_transformation,[],[f941]) ).
thf(f1995,plain,
( ( member_b @ x @ ( labele1424214014nt_a_b @ g ) )
!= $true ),
inference(cnf_transformation,[],[f1012]) ).
thf(f2528,definition,
( spl119_20
<=> ( ( member_b @ ( f @ x ) @ ( labele1424214014nt_a_b @ g ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl119_20])],[avatar_definition]) ).
thf(f2530,plain,
( ( ( member_b @ ( f @ x ) @ ( labele1424214014nt_a_b @ g ) )
= $true )
| ~ spl119_20 ),
inference(avatar_component_clause,[],[f2528]) ).
thf(f2531,plain,
spl119_20,
inference(avatar_split_clause,[],[f1830,f2528]) ).
thf(f2543,definition,
( spl119_23
<=> ( ( member_b @ x @ ( labele1424214014nt_a_b @ g ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl119_23])],[avatar_definition]) ).
thf(f2546,plain,
~ spl119_23,
inference(avatar_split_clause,[],[f1995,f2543]) ).
thf(f2558,plain,
( ( ( member_b @ x @ ( labele1424214014nt_a_b @ g ) )
= $true )
| ( $true != $true )
| ~ spl119_20 ),
inference(superposition,[],[f1749,f2530]) ).
thf(f2559,plain,
( ( ( member_b @ x @ ( labele1424214014nt_a_b @ g ) )
= $true )
| ~ spl119_20 ),
inference(trivial_inequality_removal,[],[f2558]) ).
thf(f2561,plain,
( spl119_23
| ~ spl119_20 ),
inference(avatar_split_clause,[],[f2559,f2528,f2543]) ).
cnf(s22,plain,
spl119_20,
inference(sat_conversion,[],[f2531]) ).
cnf(s27,plain,
~ spl119_23,
inference(sat_conversion,[],[f2546]) ).
cnf(s30,plain,
( ~ spl119_20
| spl119_23 ),
inference(sat_conversion,[],[f2561]) ).
cnf(s32,plain,
~ spl119_20,
inference(rat,[],[s30,s27]) ).
cnf(s33,plain,
$false,
inference(rat,[],[s22,s32]) ).
thf(f2567,plain,
$false,
inference(avatar_sat_refutation,[],[s33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP177^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n014.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 20:06:30 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.20/0.31 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.30/0.40 % (3151780)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.30/0.40 % (3151788)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=912437826: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)
% 0.30/0.40 % (3151791)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.30/0.40 % (3151791)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
% 0.30/0.40 % (3151785)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3793454382:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.30/0.40 % (3151786)lrs+10_16_si=on:nwc=1.5:random_seed=2336790053:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.30/0.40 % (3151787)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2325716171:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.30/0.40 % (3151790)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3631274264:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.30/0.40 % (3151789)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3318188102:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.30/0.40 % (3151791)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=3970937617:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.30/0.40 % (3151787)Instruction limit reached!
% 0.30/0.40 % (3151787)------------------------------
% 0.30/0.40 % (3151787)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.30/0.40 % (3151787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/0.40 % (3151787)CaDiCaL version: 2.1.3
% 0.30/0.40 % (3151787)Termination reason: Instruction limit
% 0.30/0.40 % (3151787)Termination phase: shuffling
% 0.30/0.40 % (3151787)Time elapsed: 0.002 s
% 0.30/0.40 % (3151787)Peak memory usage: 10 MB
% 0.30/0.40 % (3151787)Instructions burned: 4 (million)
% 0.30/0.40 % (3151786)Instruction limit reached!
% 0.30/0.40 % (3151786)------------------------------
% 0.30/0.40 % (3151786)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.30/0.40 % (3151786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/0.40 % (3151786)CaDiCaL version: 2.1.3
% 0.30/0.40 % (3151786)Termination reason: Instruction limit
% 0.30/0.40 % (3151786)Termination phase: shuffling
% 0.30/0.40 % (3151786)Time elapsed: 0.009 s
% 0.30/0.40 % (3151786)Peak memory usage: 10 MB
% 0.30/0.40 % (3151786)Instructions burned: 19 (million)
% 0.30/0.40 % (3151789)Instruction limit reached!
% 0.30/0.40 % (3151789)------------------------------
% 0.30/0.40 % (3151789)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.30/0.40 % (3151789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/0.40 % (3151789)CaDiCaL version: 2.1.3
% 0.30/0.40 % (3151789)Termination reason: Instruction limit
% 0.30/0.40 % (3151789)Termination phase: shuffling
% 0.30/0.40 % (3151789)Time elapsed: 0.012 s
% 0.30/0.40 % (3151789)Peak memory usage: 10 MB
% 0.30/0.40 % (3151789)Instructions burned: 26 (million)
% 0.30/0.40 % (3151803)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=333138108:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.30/0.40 % (3151803)Instruction limit reached!
% 0.30/0.40 % (3151803)------------------------------
% 0.30/0.40 % (3151803)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.30/0.40 % (3151803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/0.40 % (3151803)CaDiCaL version: 2.1.3
% 0.30/0.40 % (3151803)Termination reason: Instruction limit
% 0.30/0.40 % (3151803)Termination phase: shuffling
% 0.30/0.40 % (3151803)Time elapsed: 0.002 s
% 0.30/0.40 % (3151803)Peak memory usage: 10 MB
% 0.30/0.40 % (3151803)Instructions burned: 3 (million)
% 0.30/0.40 % (3151806)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.30/0.40 % (3151805)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3010655716:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.30/0.40 % (3151806)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3307479023:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.30/0.40 % (3151805)Instruction limit reached!
% 0.30/0.40 % (3151805)------------------------------
% 0.30/0.40 % (3151805)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.30/0.40 % (3151805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/0.40 % (3151805)CaDiCaL version: 2.1.3
% 0.30/0.40 % (3151805)Termination reason: Instruction limit
% 0.30/0.40 % (3151805)Termination phase: shuffling
% 0.30/0.40 % (3151805)Time elapsed: 0.003 s
% 0.30/0.40 % (3151805)Peak memory usage: 10 MB
% 0.30/0.40 % (3151805)Instructions burned: 5 (million)
% 0.30/0.40 % (3151790)Instruction limit reached!
% 0.30/0.40 % (3151790)------------------------------
% 0.30/0.40 % (3151790)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.30/0.40 % (3151790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/0.40 % (3151790)CaDiCaL version: 2.1.3
% 0.30/0.40 % (3151790)Termination reason: Instruction limit
% 0.30/0.40 % (3151790)Termination phase: Preprocessing 3
% 0.30/0.40 % (3151790)Time elapsed: 0.036 s
% 0.30/0.40 % (3151790)Peak memory usage: 12 MB
% 0.30/0.40 % (3151790)Instructions burned: 75 (million)
% 0.30/0.40 % (3151806)Instruction limit reached!
% 0.30/0.40 % (3151806)------------------------------
% 0.30/0.40 % (3151806)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.30/0.40 % (3151806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/0.40 % (3151806)CaDiCaL version: 2.1.3
% 0.30/0.40 % (3151806)Termination reason: Instruction limit
% 0.30/0.40 % (3151806)Termination phase: shuffling
% 0.30/0.40 % (3151806)Time elapsed: 0.004 s
% 0.30/0.40 % (3151806)Peak memory usage: 10 MB
% 0.30/0.40 % (3151806)Instructions burned: 8 (million)
% 0.30/0.40 % (3151788) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3151780-3151788"...
% 0.30/0.40 % (3151788)...printing done.
% 0.30/0.40 % (3151788)Refutation found. Thanks to Tanya!
% 0.30/0.40 % SZS status Theorem for theBenchmark
% 0.30/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.30/0.40 % (3151788)------------------------------
% 0.30/0.40 % (3151788)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.30/0.40 % (3151788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/0.40 % (3151788)CaDiCaL version: 2.1.3
% 0.30/0.40 % (3151788)Termination reason: Refutation
% 0.30/0.40 % (3151788)Time elapsed: 0.046 s
% 0.30/0.40 % (3151788)Peak memory usage: 15 MB
% 0.30/0.40 % (3151788)Instructions burned: 176 (million)
% 0.30/0.40 % (3151780)Success in time 0.086 s
% 0.30/0.40 % Vampire exiting
%------------------------------------------------------------------------------