%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP196^1 : 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 : n018.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 08:08:46 AM UTC 2026
% Result : Theorem 1.04s 0.47s
% Output : Refutation 1.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 32 ( 12 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 32 ( 15 ~; 2 |; 0 &; 12 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Number of types : 28 ( 27 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 246 ( 243 usr; 13 con; 0-4 aty)
% Number of variables : 5 ( 0 ^; 5 !; 0 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
produc1456530199y_real: $tType ).
thf(type_def_6,type,
produc1060019729y_real: $tType ).
thf(type_def_7,type,
list_P657095678y_real: $tType ).
thf(type_def_8,type,
set_Pr1405268809y_real: $tType ).
thf(type_def_9,type,
produc1426596841y_real: $tType ).
thf(type_def_10,type,
list_l343759061y_real: $tType ).
thf(type_def_11,type,
list_P991700890y_real: $tType ).
thf(type_def_12,type,
option293660815y_real: $tType ).
thf(type_def_13,type,
produc796638169y_real: $tType ).
thf(type_def_14,type,
list_P693436111y_real: $tType ).
thf(type_def_15,type,
set_Pr483210409y_real: $tType ).
thf(type_def_16,type,
list_P1001591419y_real: $tType ).
thf(type_def_17,type,
list_l6097393y_real: $tType ).
thf(type_def_18,type,
produc461822025y_real: $tType ).
thf(type_def_19,type,
option988260395y_real: $tType ).
thf(type_def_20,type,
list_P736648811y_real: $tType ).
thf(type_def_21,type,
list_l1245274212y_real: $tType ).
thf(type_def_22,type,
produc321349221y_real: $tType ).
thf(type_def_23,type,
option1330723604y_real: $tType ).
thf(type_def_24,type,
list_list_poly_real: $tType ).
thf(type_def_25,type,
set_list_poly_real: $tType ).
thf(type_def_26,type,
option_poly_real: $tType ).
thf(type_def_27,type,
list_poly_real: $tType ).
thf(type_def_28,type,
set_poly_real: $tType ).
thf(type_def_29,type,
poly_real: $tType ).
thf(type_def_30,type,
list_nat: $tType ).
thf(type_def_31,type,
nat: $tType ).
thf(type_def_32,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
bNF_Gr851617109y_real: set_list_poly_real > poly_real > set_list_poly_real ).
thf(func_def_1,type,
bNF_Gr1644259033y_real: set_list_poly_real > list_poly_real > set_poly_real ).
thf(func_def_2,type,
times_times_nat: nat > nat > nat ).
thf(func_def_3,type,
append527544425y_real: list_list_poly_real > list_list_poly_real > list_list_poly_real ).
thf(func_def_4,type,
append_poly_real: list_poly_real > list_poly_real > list_poly_real ).
thf(func_def_5,type,
bind_l1810664209y_real: list_list_poly_real > ( list_poly_real > list_list_poly_real ) > list_list_poly_real ).
thf(func_def_6,type,
bind_l146959617y_real: list_list_poly_real > ( list_poly_real > list_poly_real ) > list_poly_real ).
thf(func_def_7,type,
bind_l429098840y_real: list_list_poly_real > ( list_poly_real > list_P736648811y_real ) > list_P736648811y_real ).
thf(func_def_8,type,
bind_p1226679937y_real: list_poly_real > ( poly_real > list_list_poly_real ) > list_list_poly_real ).
thf(func_def_9,type,
bind_p420216945y_real: list_poly_real > ( poly_real > list_poly_real ) > list_poly_real ).
thf(func_def_10,type,
bind_p600434664y_real: list_poly_real > ( poly_real > list_P736648811y_real ) > list_P736648811y_real ).
thf(func_def_11,type,
bind_p988182092y_real: list_poly_real > ( poly_real > list_P693436111y_real ) > list_P693436111y_real ).
thf(func_def_12,type,
bind_P1861132770y_real: list_P736648811y_real > ( produc321349221y_real > list_list_poly_real ) > list_list_poly_real ).
thf(func_def_13,type,
bind_P755425362y_real: list_P736648811y_real > ( produc321349221y_real > list_poly_real ) > list_poly_real ).
thf(func_def_14,type,
bind_P120560694y_real: list_P693436111y_real > ( produc461822025y_real > list_poly_real ) > list_poly_real ).
thf(func_def_15,type,
butlast_poly_real: list_poly_real > list_poly_real ).
thf(func_def_16,type,
concat_poly_real: list_list_poly_real > list_poly_real ).
thf(func_def_17,type,
enumer1433313439y_real: nat > list_list_poly_real > list_P1001591419y_real ).
thf(func_def_18,type,
enumerate_poly_real: nat > list_poly_real > list_P736648811y_real ).
thf(func_def_19,type,
enumer1123002698y_real: nat > list_P736648811y_real > list_P991700890y_real ).
thf(func_def_20,type,
enumer1015405230y_real: nat > list_P693436111y_real > list_P657095678y_real ).
thf(func_def_21,type,
foldr_2117681201y_real: ( list_poly_real > list_poly_real > list_poly_real ) > list_list_poly_real > list_poly_real > list_poly_real ).
thf(func_def_22,type,
gen_le1160603377y_real: nat > list_list_poly_real > nat ).
thf(func_def_23,type,
gen_length_poly_real: nat > list_poly_real > nat ).
thf(func_def_24,type,
gen_le904455032y_real: nat > list_P736648811y_real > nat ).
thf(func_def_25,type,
gen_le1524582876y_real: nat > list_P693436111y_real > nat ).
thf(func_def_26,type,
insert_poly_real: poly_real > list_poly_real > list_poly_real ).
thf(func_def_27,type,
last_poly_real: list_poly_real > poly_real ).
thf(func_def_28,type,
last_P21901160y_real: list_P693436111y_real > produc461822025y_real ).
thf(func_def_29,type,
lenlex_poly_real: set_Pr483210409y_real > set_Pr1405268809y_real ).
thf(func_def_30,type,
lex_poly_real: set_Pr483210409y_real > set_Pr1405268809y_real ).
thf(func_def_31,type,
lexord_poly_real: set_Pr483210409y_real > set_Pr1405268809y_real ).
thf(func_def_32,type,
cons_l2022919326y_real: list_list_poly_real > list_l1245274212y_real > list_l1245274212y_real ).
thf(func_def_33,type,
cons_list_poly_real: list_poly_real > list_list_poly_real > list_list_poly_real ).
thf(func_def_34,type,
cons_l730969377y_real: list_P736648811y_real > list_l6097393y_real > list_l6097393y_real ).
thf(func_def_35,type,
cons_l677353093y_real: list_P693436111y_real > list_l343759061y_real > list_l343759061y_real ).
thf(func_def_36,type,
cons_poly_real: poly_real > list_poly_real > list_poly_real ).
thf(func_def_37,type,
cons_P1027346459y_real: produc321349221y_real > list_P736648811y_real > list_P736648811y_real ).
thf(func_def_38,type,
cons_P1129399039y_real: produc461822025y_real > list_P693436111y_real > list_P693436111y_real ).
thf(func_def_39,type,
nil_li2088348750y_real: list_l1245274212y_real ).
thf(func_def_40,type,
nil_list_poly_real: list_list_poly_real ).
thf(func_def_41,type,
nil_li579690865y_real: list_l6097393y_real ).
thf(func_def_42,type,
nil_li1299462869y_real: list_l343759061y_real ).
thf(func_def_43,type,
nil_nat: list_nat ).
thf(func_def_44,type,
nil_poly_real: list_poly_real ).
thf(func_def_45,type,
nil_Pr1161137915y_real: list_P1001591419y_real ).
thf(func_def_46,type,
nil_Pr1492526187y_real: list_P736648811y_real ).
thf(func_def_47,type,
nil_Pr570652676y_real: list_P991700890y_real ).
thf(func_def_48,type,
nil_Pr2056488424y_real: list_P657095678y_real ).
thf(func_def_49,type,
nil_Pr1207979855y_real: list_P693436111y_real ).
thf(func_def_50,type,
map_po2132607150y_real: ( poly_real > poly_real ) > list_poly_real > list_poly_real ).
thf(func_def_51,type,
list_e367462459y_real: ( list_poly_real > $o ) > list_list_poly_real > $o ).
thf(func_def_52,type,
list_ex1_poly_real: ( poly_real > $o ) > list_poly_real > $o ).
thf(func_def_53,type,
list_e1892536494y_real: ( produc321349221y_real > $o ) > list_P736648811y_real > $o ).
thf(func_def_54,type,
list_e1507538962y_real: ( produc461822025y_real > $o ) > list_P693436111y_real > $o ).
thf(func_def_55,type,
list_e809719936y_real: ( list_poly_real > $o ) > list_list_poly_real > $o ).
thf(func_def_56,type,
list_ex_poly_real: ( poly_real > $o ) > list_poly_real > $o ).
thf(func_def_57,type,
list_e2093379497y_real: ( produc321349221y_real > $o ) > list_P736648811y_real > $o ).
thf(func_def_58,type,
list_e1312221069y_real: ( produc461822025y_real > $o ) > list_P693436111y_real > $o ).
thf(func_def_59,type,
listrel1_poly_real: set_Pr483210409y_real > set_Pr1405268809y_real ).
thf(func_def_60,type,
listre572247515y_real: set_Pr483210409y_real > set_Pr1405268809y_real ).
thf(func_def_61,type,
listre1763068361y_real: ( list_poly_real > list_poly_real > $o ) > list_list_poly_real > list_list_poly_real > $o ).
thf(func_def_62,type,
listre713353145y_real: ( list_poly_real > poly_real > $o ) > list_list_poly_real > list_poly_real > $o ).
thf(func_def_63,type,
listre1037026976y_real: ( list_poly_real > produc321349221y_real > $o ) > list_list_poly_real > list_P736648811y_real > $o ).
thf(func_def_64,type,
listre1793073465y_real: ( poly_real > list_poly_real > $o ) > list_poly_real > list_list_poly_real > $o ).
thf(func_def_65,type,
listre1609905961y_real: ( poly_real > poly_real > $o ) > list_poly_real > list_poly_real > $o ).
thf(func_def_66,type,
listre889482032y_real: ( poly_real > produc321349221y_real > $o ) > list_poly_real > list_P736648811y_real > $o ).
thf(func_def_67,type,
listre471999892y_real: ( poly_real > produc461822025y_real > $o ) > list_poly_real > list_P693436111y_real > $o ).
thf(func_def_68,type,
listre321577258y_real: ( produc321349221y_real > list_poly_real > $o ) > list_P736648811y_real > list_list_poly_real > $o ).
thf(func_def_69,type,
listre1044472730y_real: ( produc321349221y_real > poly_real > $o ) > list_P736648811y_real > list_poly_real > $o ).
thf(func_def_70,type,
listre1751862142y_real: ( produc461822025y_real > poly_real > $o ) > list_P693436111y_real > list_poly_real > $o ).
thf(func_def_71,type,
map_fi357666132y_real: ( list_poly_real > option1330723604y_real ) > list_list_poly_real > list_list_poly_real ).
thf(func_def_72,type,
map_fi1988340932y_real: ( list_poly_real > option_poly_real ) > list_list_poly_real > list_poly_real ).
thf(func_def_73,type,
map_fi2104453077y_real: ( list_poly_real > option988260395y_real ) > list_list_poly_real > list_P736648811y_real ).
thf(func_def_74,type,
map_fi920577604y_real: ( poly_real > option1330723604y_real ) > list_poly_real > list_list_poly_real ).
thf(func_def_75,type,
map_fi1183202740y_real: ( poly_real > option_poly_real ) > list_poly_real > list_poly_real ).
thf(func_def_76,type,
map_fi740944613y_real: ( poly_real > option988260395y_real ) > list_poly_real > list_P736648811y_real ).
thf(func_def_77,type,
map_fi1117002953y_real: ( poly_real > option293660815y_real ) > list_poly_real > list_P693436111y_real ).
thf(func_def_78,type,
map_fi1389003359y_real: ( produc321349221y_real > option1330723604y_real ) > list_P736648811y_real > list_list_poly_real ).
thf(func_def_79,type,
map_fi895935311y_real: ( produc321349221y_real > option_poly_real ) > list_P736648811y_real > list_poly_real ).
thf(func_def_80,type,
map_fi249381555y_real: ( produc461822025y_real > option_poly_real ) > list_P693436111y_real > list_poly_real ).
thf(func_def_81,type,
map_ta316995199y_real: ( list_poly_real > list_poly_real ) > list_list_poly_real > list_list_poly_real > list_list_poly_real ).
thf(func_def_82,type,
map_ta434235247y_real: ( list_poly_real > poly_real ) > list_list_poly_real > list_poly_real > list_poly_real ).
thf(func_def_83,type,
map_ta1674185578y_real: ( list_poly_real > produc321349221y_real ) > list_list_poly_real > list_P736648811y_real > list_P736648811y_real ).
thf(func_def_84,type,
map_ta1513955567y_real: ( poly_real > list_poly_real ) > list_poly_real > list_list_poly_real > list_list_poly_real ).
thf(func_def_85,type,
map_ta1919289823y_real: ( poly_real > poly_real ) > list_poly_real > list_poly_real > list_poly_real ).
thf(func_def_86,type,
map_ta632757498y_real: ( poly_real > produc321349221y_real ) > list_poly_real > list_P736648811y_real > list_P736648811y_real ).
thf(func_def_87,type,
map_ta920933982y_real: ( poly_real > produc461822025y_real ) > list_poly_real > list_P693436111y_real > list_P693436111y_real ).
thf(func_def_88,type,
map_ta958735860y_real: ( produc321349221y_real > list_poly_real ) > list_P736648811y_real > list_list_poly_real > list_list_poly_real ).
thf(func_def_89,type,
map_ta787748196y_real: ( produc321349221y_real > poly_real ) > list_P736648811y_real > list_poly_real > list_poly_real ).
thf(func_def_90,type,
map_ta53312584y_real: ( produc461822025y_real > poly_real ) > list_P693436111y_real > list_poly_real > list_poly_real ).
thf(func_def_91,type,
map_ta954657966y_real: produc1456530199y_real > produc1456530199y_real > $o ).
thf(func_def_92,type,
maps_l502643659y_real: ( list_poly_real > list_list_poly_real ) > list_list_poly_real > list_list_poly_real ).
thf(func_def_93,type,
maps_l337560251y_real: ( list_poly_real > list_poly_real ) > list_list_poly_real > list_poly_real ).
thf(func_def_94,type,
maps_l770007326y_real: ( list_poly_real > list_P736648811y_real ) > list_list_poly_real > list_P736648811y_real ).
thf(func_def_95,type,
maps_p1417280571y_real: ( poly_real > list_list_poly_real ) > list_poly_real > list_list_poly_real ).
thf(func_def_96,type,
maps_p961674027y_real: ( poly_real > list_poly_real ) > list_poly_real > list_poly_real ).
thf(func_def_97,type,
maps_p2108677294y_real: ( poly_real > list_P736648811y_real ) > list_poly_real > list_P736648811y_real ).
thf(func_def_98,type,
maps_p86983698y_real: ( poly_real > list_P693436111y_real ) > list_poly_real > list_P693436111y_real ).
thf(func_def_99,type,
maps_P54557608y_real: ( produc321349221y_real > list_list_poly_real ) > list_P736648811y_real > list_list_poly_real ).
thf(func_def_100,type,
maps_P116184344y_real: ( produc321349221y_real > list_poly_real ) > list_P736648811y_real > list_poly_real ).
thf(func_def_101,type,
maps_P1366845948y_real: ( produc461822025y_real > list_poly_real ) > list_P693436111y_real > list_poly_real ).
thf(func_def_102,type,
member1829603177y_real: list_list_poly_real > list_poly_real > $o ).
thf(func_def_103,type,
member_poly_real: list_poly_real > poly_real > $o ).
thf(func_def_104,type,
member1782690048y_real: list_P736648811y_real > produc321349221y_real > $o ).
thf(func_def_105,type,
member202023780y_real: list_P693436111y_real > produc461822025y_real > $o ).
thf(func_def_106,type,
null_list_poly_real: list_list_poly_real > $o ).
thf(func_def_107,type,
null_poly_real: list_poly_real > $o ).
thf(func_def_108,type,
null_P89569907y_real: list_P736648811y_real > $o ).
thf(func_def_109,type,
null_P1782853975y_real: list_P693436111y_real > $o ).
thf(func_def_110,type,
lexord1324236152y_real: ( list_poly_real > list_poly_real > $o ) > list_list_poly_real > list_list_poly_real > $o ).
thf(func_def_111,type,
lexordp_eq_poly_real: ( poly_real > poly_real > $o ) > list_poly_real > list_poly_real > $o ).
thf(func_def_112,type,
lexord834705585y_real: ( produc321349221y_real > produc321349221y_real > $o ) > list_P736648811y_real > list_P736648811y_real > $o ).
thf(func_def_113,type,
lexord1053351061y_real: ( produc461822025y_real > produc461822025y_real > $o ) > list_P693436111y_real > list_P693436111y_real > $o ).
thf(func_def_114,type,
ord_le1233681790y_real: list_poly_real > list_poly_real > $o ).
thf(func_def_115,type,
produc1360353227y_real: list_nat > list_poly_real > list_P736648811y_real ).
thf(func_def_116,type,
produc1733309743y_real: list_poly_real > list_poly_real > list_P693436111y_real ).
thf(func_def_117,type,
produc523415045y_real: list_list_poly_real > list_list_poly_real ).
thf(func_def_118,type,
rotate717473073y_real: list_list_poly_real > list_list_poly_real ).
thf(func_def_119,type,
rotate1_poly_real: list_poly_real > list_poly_real ).
thf(func_def_120,type,
rotate623875384y_real: list_P736648811y_real > list_P736648811y_real ).
thf(func_def_121,type,
rotate867081116y_real: list_P693436111y_real > list_P693436111y_real ).
thf(func_def_122,type,
rotate_poly_real: nat > list_poly_real > list_poly_real ).
thf(func_def_123,type,
splice2080530731y_real: list_list_poly_real > list_list_poly_real > list_list_poly_real ).
thf(func_def_124,type,
splice_poly_real: list_poly_real > list_poly_real > list_poly_real ).
thf(func_def_125,type,
splice1383748542y_real: list_P736648811y_real > list_P736648811y_real > list_P736648811y_real ).
thf(func_def_126,type,
splice1321784098y_real: list_P693436111y_real > list_P693436111y_real > list_P693436111y_real ).
thf(func_def_127,type,
subseqs_poly_real: list_poly_real > list_list_poly_real ).
thf(func_def_128,type,
zip_nat_poly_real: list_nat > list_poly_real > list_P736648811y_real ).
thf(func_def_129,type,
zip_po657915297y_real: list_poly_real > list_poly_real > list_P693436111y_real ).
thf(func_def_130,type,
suc: nat > nat ).
thf(func_def_131,type,
size_s259235672y_real: list_poly_real > nat ).
thf(func_def_132,type,
ord_less_nat: nat > nat > $o ).
thf(func_def_133,type,
plus_c288199817y_real: list_poly_real > list_poly_real > list_poly_real ).
thf(func_def_134,type,
produc1345584779y_real: ( poly_real > poly_real > $o ) > list_poly_real > produc1060019729y_real ).
thf(func_def_135,type,
produc2087464649y_real: ( poly_real > poly_real ) > produc1426596841y_real > produc1456530199y_real ).
thf(func_def_136,type,
produc1000427809y_real: list_poly_real > list_poly_real > produc1426596841y_real ).
thf(func_def_137,type,
produc404352541y_real: nat > poly_real > produc321349221y_real ).
thf(func_def_138,type,
produc490255505y_real: poly_real > list_poly_real > produc796638169y_real ).
thf(func_def_139,type,
produc1867601537y_real: poly_real > poly_real > produc461822025y_real ).
thf(func_def_140,type,
collec1537941401y_real: ( list_poly_real > $o ) > set_list_poly_real ).
thf(func_def_141,type,
collect_poly_real: ( poly_real > $o ) > set_poly_real ).
thf(func_def_142,type,
collec1459394516y_real: ( produc1426596841y_real > $o ) > set_Pr1405268809y_real ).
thf(func_def_143,type,
collec329281332y_real: ( produc461822025y_real > $o ) > set_Pr483210409y_real ).
thf(func_def_144,type,
sturm_891428828rm_seq: list_poly_real > $o ).
thf(func_def_145,type,
sturm_1664866327rm_seq: list_poly_real > poly_real > $o ).
thf(func_def_146,type,
sturm_1683633594axioms: list_poly_real > poly_real > $o ).
thf(func_def_147,type,
accp_P948088014y_real: ( produc1456530199y_real > produc1456530199y_real > $o ) > produc1456530199y_real > $o ).
thf(func_def_148,type,
member708095579y_real: list_poly_real > set_list_poly_real > $o ).
thf(func_def_149,type,
member_poly_real2: poly_real > set_poly_real > $o ).
thf(func_def_150,type,
member403334290y_real: produc1426596841y_real > set_Pr1405268809y_real > $o ).
thf(func_def_151,type,
member1784523250y_real: produc461822025y_real > set_Pr483210409y_real > $o ).
thf(func_def_153,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_154,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_155,type,
vOR: $o > $o > $o ).
thf(func_def_156,type,
vAND: $o > $o > $o ).
thf(func_def_157,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_160,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_161,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_162,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_163,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_164,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_165,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_166,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_167,type,
vNOT: $o > $o ).
thf(func_def_168,type,
vIMP: $o > $o > $o ).
thf(func_def_169,type,
sK0: ( list_poly_real > $o ) > poly_real ).
thf(func_def_170,type,
sK1: ( list_poly_real > $o ) > list_poly_real ).
thf(func_def_171,type,
sK2: ( list_poly_real > $o ) > poly_real ).
thf(func_def_172,type,
sK3: ( list_poly_real > $o ) > poly_real ).
thf(func_def_173,type,
sK4: list_poly_real > poly_real ).
thf(func_def_174,type,
sK5: list_poly_real > list_poly_real ).
thf(func_def_175,type,
sK6: ( list_poly_real > $o ) > list_poly_real ).
thf(func_def_176,type,
sK7: ( list_poly_real > $o ) > poly_real ).
thf(func_def_177,type,
sK8: ( list_poly_real > $o ) > poly_real ).
thf(func_def_178,type,
sK9: ( list_poly_real > $o ) > poly_real ).
thf(func_def_179,type,
sK10: ( ( poly_real > poly_real ) > list_poly_real > list_poly_real > $o ) > list_poly_real ).
thf(func_def_180,type,
sK11: ( ( poly_real > poly_real ) > list_poly_real > list_poly_real > $o ) > list_poly_real ).
thf(func_def_181,type,
sK12: ( ( poly_real > poly_real ) > list_poly_real > list_poly_real > $o ) > poly_real > poly_real ).
thf(func_def_182,type,
sK13: ( ( poly_real > poly_real ) > list_poly_real > list_poly_real > $o ) > poly_real ).
thf(func_def_183,type,
sK14: ( ( poly_real > poly_real ) > list_poly_real > list_poly_real > $o ) > poly_real > poly_real ).
thf(func_def_184,type,
sK15: ( ( poly_real > poly_real ) > list_poly_real > list_poly_real > $o ) > list_poly_real ).
thf(func_def_185,type,
sK16: ( list_poly_real > list_poly_real > $o ) > list_poly_real ).
thf(func_def_186,type,
sK17: ( list_poly_real > list_poly_real > $o ) > list_poly_real ).
thf(func_def_187,type,
sK18: ( list_poly_real > list_poly_real > $o ) > poly_real ).
thf(func_def_188,type,
sK19: ( list_poly_real > list_poly_real > $o ) > poly_real ).
thf(func_def_189,type,
sK20: ( list_poly_real > list_poly_real > $o ) > poly_real ).
thf(func_def_190,type,
sK21: ( list_poly_real > list_poly_real > $o ) > list_poly_real ).
thf(func_def_191,type,
sK22: ( list_poly_real > list_poly_real > $o ) > list_poly_real ).
thf(func_def_192,type,
sK23: ( list_poly_real > $o ) > poly_real ).
thf(func_def_193,type,
sK24: ( list_poly_real > $o ) > list_poly_real ).
thf(func_def_194,type,
sK25: ( list_poly_real > list_poly_real > $o ) > list_poly_real ).
thf(func_def_195,type,
sK26: ( list_poly_real > list_poly_real > $o ) > list_poly_real ).
thf(func_def_196,type,
sK27: ( list_poly_real > list_poly_real > $o ) > list_poly_real ).
thf(func_def_197,type,
sK28: ( list_poly_real > list_poly_real > $o ) > poly_real ).
thf(func_def_198,type,
sK29: ( list_poly_real > list_poly_real > $o ) > poly_real ).
thf(func_def_199,type,
sK30: ( list_poly_real > list_poly_real > $o ) > list_poly_real ).
thf(func_def_200,type,
sK31: list_poly_real > poly_real ).
thf(func_def_201,type,
sK32: list_poly_real > list_poly_real ).
thf(func_def_202,type,
sK33: ( list_poly_real > list_poly_real > $o ) > list_poly_real ).
thf(func_def_203,type,
sK34: ( list_poly_real > list_poly_real > $o ) > list_poly_real ).
thf(func_def_204,type,
sK35: ( list_poly_real > list_poly_real > $o ) > poly_real ).
thf(func_def_205,type,
sK36: ( list_poly_real > list_poly_real > $o ) > poly_real ).
thf(func_def_206,type,
sK37: ( list_poly_real > list_poly_real > $o ) > list_poly_real ).
thf(func_def_207,type,
sK38: ( list_poly_real > list_poly_real > $o ) > list_poly_real ).
thf(func_def_208,type,
sK39: ( list_poly_real > list_poly_real > $o ) > poly_real ).
thf(func_def_209,type,
sK40: ( list_poly_real > list_poly_real > $o ) > list_poly_real ).
thf(func_def_210,type,
sK41: ( list_poly_real > list_poly_real > $o ) > poly_real ).
thf(func_def_211,type,
sK42: ( list_poly_real > list_poly_real > $o ) > poly_real ).
thf(func_def_212,type,
sK43: ( list_poly_real > list_poly_real > $o ) > list_poly_real ).
thf(func_def_213,type,
sK44: ( list_poly_real > list_poly_real > $o ) > list_poly_real ).
thf(func_def_214,type,
sK45: ( list_poly_real > list_poly_real > $o ) > poly_real ).
thf(func_def_215,type,
sK46: ( list_poly_real > list_poly_real > $o ) > poly_real ).
thf(func_def_216,type,
sK47: ( list_poly_real > list_poly_real > $o ) > list_poly_real ).
thf(func_def_217,type,
sK48: ( ( poly_real > poly_real > $o ) > list_poly_real > $o ) > list_poly_real ).
thf(func_def_218,type,
sK49: ( ( poly_real > poly_real > $o ) > list_poly_real > $o ) > poly_real ).
thf(func_def_219,type,
sK50: ( ( poly_real > poly_real > $o ) > list_poly_real > $o ) > poly_real > poly_real > $o ).
thf(func_def_220,type,
sK51: ( ( poly_real > poly_real > $o ) > list_poly_real > $o ) > poly_real > poly_real > $o ).
thf(func_def_221,type,
sK52: list_poly_real > poly_real ).
thf(func_def_222,type,
sK53: list_poly_real > poly_real ).
thf(func_def_223,type,
sK54: list_poly_real > list_poly_real ).
thf(func_def_224,type,
sK55: list_poly_real > poly_real ).
thf(func_def_225,type,
sK56: ( list_poly_real > list_poly_real > $o ) > list_poly_real ).
thf(func_def_226,type,
sK57: ( list_poly_real > list_poly_real > $o ) > poly_real ).
thf(func_def_227,type,
sK58: ( list_poly_real > list_poly_real > $o ) > list_poly_real ).
thf(func_def_228,type,
sK59: ( list_poly_real > list_poly_real > $o ) > list_poly_real ).
thf(func_def_229,type,
sK60: list_poly_real > list_poly_real ).
thf(func_def_230,type,
sK61: list_poly_real > poly_real ).
thf(func_def_231,type,
sK62: ( list_poly_real > $o ) > poly_real ).
thf(func_def_232,type,
sK63: ( list_poly_real > $o ) > list_poly_real ).
thf(func_def_233,type,
sK64: ( list_poly_real > $o ) > poly_real ).
thf(func_def_234,type,
sK65: ( list_poly_real > $o ) > poly_real ).
thf(func_def_235,type,
sK66: ( list_poly_real > $o ) > list_poly_real ).
thf(func_def_236,type,
sK67: ( list_poly_real > $o ) > poly_real ).
thf(func_def_237,type,
sK68: ( list_poly_real > $o ) > list_poly_real ).
thf(func_def_238,type,
sK69: ( ( poly_real > poly_real > $o ) > list_poly_real > $o ) > poly_real > poly_real > $o ).
thf(func_def_239,type,
sK70: ( ( poly_real > poly_real > $o ) > list_poly_real > $o ) > poly_real ).
thf(func_def_240,type,
sK71: ( ( poly_real > poly_real > $o ) > list_poly_real > $o ) > poly_real ).
thf(func_def_241,type,
sK72: ( ( poly_real > poly_real > $o ) > list_poly_real > $o ) > list_poly_real ).
thf(func_def_242,type,
sK73: ( ( poly_real > poly_real > $o ) > list_poly_real > $o ) > poly_real > poly_real > $o ).
thf(func_def_243,type,
sK74: ( ( poly_real > poly_real > $o ) > list_poly_real > $o ) > poly_real > poly_real > $o ).
thf(func_def_244,type,
sK75: ( ( poly_real > poly_real > $o ) > list_poly_real > $o ) > poly_real ).
thf(f1,axiom,
! [X0: list_poly_real] :
( ( sturm_891428828rm_seq @ X0 )
=> ( X0 != nil_poly_real ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_quasi__sturm__seq_Ops__not__Nil) ).
thf(f350,conjecture,
~ ( sturm_891428828rm_seq @ nil_poly_real ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f351,negated_conjecture,
~ ~ ( sturm_891428828rm_seq @ nil_poly_real ),
inference(negated_conjecture,[status(cth)],[f350]) ).
thf(f389,plain,
! [X0: list_poly_real] :
( ( sturm_891428828rm_seq @ X0 )
=> ( X0 != nil_poly_real ) ),
inference(rectify,[],[f1]) ).
thf(f390,plain,
! [X0: list_poly_real] :
( ( ( sturm_891428828rm_seq @ X0 )
= $true )
=> ( nil_poly_real != X0 ) ),
inference(fool_elimination,[],[f389]) ).
thf(f720,plain,
~ ~ ( sturm_891428828rm_seq @ nil_poly_real ),
inference(rectify,[],[f351]) ).
thf(f721,plain,
~ ( ( ( sturm_891428828rm_seq @ nil_poly_real )
!= $true ) ),
inference(fool_elimination,[],[f720]) ).
thf(f754,plain,
( ( sturm_891428828rm_seq @ nil_poly_real )
= $true ),
inference(flattening,[],[f721]) ).
thf(f784,plain,
! [X0: list_poly_real] :
( ( nil_poly_real != X0 )
| ( ( sturm_891428828rm_seq @ X0 )
!= $true ) ),
inference(ennf_transformation,[],[f390]) ).
thf(f838,plain,
( ( sturm_891428828rm_seq @ nil_poly_real )
= $true ),
inference(cnf_transformation,[],[f754]) ).
thf(f840,plain,
! [X0: list_poly_real] :
( ( nil_poly_real != X0 )
| ( ( sturm_891428828rm_seq @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f784]) ).
thf(f881,plain,
( ( sturm_891428828rm_seq @ nil_poly_real )
!= $true ),
inference(equality_resolution,[],[f840]) ).
thf(f885,plain,
$false,
inference(forward_subsumption_resolution,[],[f838,f881]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP196^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n018.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 20:12:57 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.22/0.29 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
% 0.30/0.44 % (584205)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.30/0.44 % (584222)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2096920411:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.30/0.44 % (584224)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.30/0.44 % (584224)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
% 0.30/0.44 % (584218)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=432802393:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.30/0.44 % (584222)Instruction limit reached!
% 0.30/0.44 % (584222)------------------------------
% 0.30/0.44 % (584222)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.30/0.44 % (584222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/0.44 % (584222)CaDiCaL version: 2.1.3
% 0.30/0.44 % (584222)Termination reason: Instruction limit
% 0.30/0.44 % (584222)Termination phase: Property scanning
% 0.30/0.44 % (584222)Time elapsed: 0.007 s
% 0.30/0.44 % (584222)Peak memory usage: 11 MB
% 0.30/0.44 % (584222)Instructions burned: 28 (million)
% 0.30/0.44 % (584221)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=179899821: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)
% 0.30/0.44 % (584220)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=742283536:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.30/0.44 % (584219)lrs+10_16_si=on:nwc=1.5:random_seed=2514336348:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.30/0.44 % (584223)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2214224368:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.30/0.44 % (584224)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=1372919745:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.30/0.44 % (584220)Instruction limit reached!
% 0.30/0.44 % (584220)------------------------------
% 0.30/0.44 % (584220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.30/0.44 % (584220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/0.44 % (584220)CaDiCaL version: 2.1.3
% 0.30/0.44 % (584220)Termination reason: Instruction limit
% 0.30/0.44 % (584220)Termination phase: shuffling
% 0.30/0.44 % (584220)Time elapsed: 0.003 s
% 0.30/0.44 % (584220)Peak memory usage: 10 MB
% 0.30/0.44 % (584220)Instructions burned: 5 (million)
% 0.30/0.44 % (584219)Instruction limit reached!
% 0.30/0.44 % (584219)------------------------------
% 0.30/0.44 % (584219)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.30/0.44 % (584219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/0.44 % (584219)CaDiCaL version: 2.1.3
% 0.30/0.44 % (584219)Termination reason: Instruction limit
% 0.30/0.44 % (584219)Termination phase: shuffling
% 0.30/0.44 % (584219)Time elapsed: 0.009 s
% 0.30/0.44 % (584219)Peak memory usage: 10 MB
% 0.30/0.44 % (584219)Instructions burned: 20 (million)
% 0.30/0.44 % (584239)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1582163303:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.30/0.44 % (584239)Instruction limit reached!
% 0.30/0.44 % (584239)------------------------------
% 0.30/0.44 % (584239)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.30/0.44 % (584239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/0.44 % (584239)CaDiCaL version: 2.1.3
% 0.30/0.44 % (584239)Termination reason: Instruction limit
% 0.30/0.44 % (584239)Termination phase: shuffling
% 0.30/0.44 % (584239)Time elapsed: 0.001 s
% 0.30/0.44 % (584239)Peak memory usage: 10 MB
% 0.30/0.44 % (584239)Instructions burned: 2 (million)
% 0.30/0.44 % (584245)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1798412884:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.30/0.44 % (584253)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3280734292:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.04/0.47 % (584250)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.04/0.47 % (584245)Instruction limit reached!
% 1.04/0.47 % (584245)------------------------------
% 1.04/0.47 % (584245)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.47 % (584245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.47 % (584245)CaDiCaL version: 2.1.3
% 1.04/0.47 % (584245)Termination reason: Instruction limit
% 1.04/0.47 % (584245)Termination phase: shuffling
% 1.04/0.47 % (584245)Time elapsed: 0.003 s
% 1.04/0.47 % (584245)Peak memory usage: 10 MB
% 1.04/0.47 % (584245)Instructions burned: 5 (million)
% 1.04/0.47 % (584253)Instruction limit reached!
% 1.04/0.47 % (584253)------------------------------
% 1.04/0.47 % (584253)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.47 % (584253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.47 % (584253)CaDiCaL version: 2.1.3
% 1.04/0.47 % (584253)Termination reason: Instruction limit
% 1.04/0.47 % (584253)Termination phase: shuffling
% 1.04/0.47 % (584253)Time elapsed: 0.004 s
% 1.04/0.47 % (584253)Peak memory usage: 10 MB
% 1.04/0.47 % (584253)Instructions burned: 16 (million)
% 1.04/0.47 % (584250)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3642988951:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.04/0.47 % (584250)Instruction limit reached!
% 1.04/0.47 % (584250)------------------------------
% 1.04/0.47 % (584250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.47 % (584250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.47 % (584250)CaDiCaL version: 2.1.3
% 1.04/0.47 % (584250)Termination reason: Instruction limit
% 1.04/0.47 % (584250)Termination phase: shuffling
% 1.04/0.47 % (584250)Time elapsed: 0.004 s
% 1.04/0.47 % (584250)Peak memory usage: 10 MB
% 1.04/0.47 % (584250)Instructions burned: 8 (million)
% 1.04/0.47 % (584223)Instruction limit reached!
% 1.04/0.47 % (584223)------------------------------
% 1.04/0.47 % (584223)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.47 % (584223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.47 % (584223)CaDiCaL version: 2.1.3
% 1.04/0.47 % (584223)Termination reason: Instruction limit
% 1.04/0.47 % (584223)Termination phase: Preprocessing 3
% 1.04/0.47 % (584223)Time elapsed: 0.036 s
% 1.04/0.47 % (584223)Peak memory usage: 12 MB
% 1.04/0.47 % (584223)Instructions burned: 75 (million)
% 1.04/0.47 % (584268)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=581098494:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.04/0.47 % (584266)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
% 1.04/0.47 % (584266)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.04/0.47 % (584218)Instruction limit reached!
% 1.04/0.47 % (584218)------------------------------
% 1.04/0.47 % (584218)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.47 % (584218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.47 % (584218)CaDiCaL version: 2.1.3
% 1.04/0.47 % (584218)Termination reason: Instruction limit
% 1.04/0.47 % (584218)Termination phase: Property scanning
% 1.04/0.47 % (584218)Time elapsed: 0.043 s
% 1.04/0.47 % (584218)Peak memory usage: 13 MB
% 1.04/0.47 % (584218)Instructions burned: 89 (million)
% 1.04/0.47 % (584266)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=4023753570:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.04/0.47 % (584276)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.04/0.47 % (584274)lrs+10_1_si=on:cs=on:random_seed=3776003917:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.04/0.47 % (584276)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=4151458564:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.04/0.47 % (584274)Instruction limit reached!
% 1.04/0.47 % (584274)------------------------------
% 1.04/0.47 % (584274)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.47 % (584274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.47 % (584274)CaDiCaL version: 2.1.3
% 1.04/0.47 % (584274)Termination reason: Instruction limit
% 1.04/0.47 % (584274)Termination phase: shuffling
% 1.04/0.47 % (584274)Time elapsed: 0.004 s
% 1.04/0.47 % (584274)Peak memory usage: 10 MB
% 1.04/0.47 % (584274)Instructions burned: 8 (million)
% 1.04/0.47 % (584266)Instruction limit reached!
% 1.04/0.47 % (584266)------------------------------
% 1.04/0.47 % (584266)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.47 % (584266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.47 % (584266)CaDiCaL version: 2.1.3
% 1.04/0.47 % (584266)Termination reason: Instruction limit
% 1.04/0.47 % (584266)Termination phase: shuffling
% 1.04/0.47 % (584266)Time elapsed: 0.013 s
% 1.04/0.47 % (584266)Peak memory usage: 11 MB
% 1.04/0.47 % (584266)Instructions burned: 28 (million)
% 1.04/0.47 % (584276)Instruction limit reached!
% 1.04/0.47 % (584276)------------------------------
% 1.04/0.47 % (584276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.47 % (584276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.47 % (584276)CaDiCaL version: 2.1.3
% 1.04/0.47 % (584276)Termination reason: Instruction limit
% 1.04/0.47 % (584276)Termination phase: shuffling
% 1.04/0.47 % (584276)Time elapsed: 0.002 s
% 1.04/0.47 % (584276)Peak memory usage: 10 MB
% 1.04/0.47 % (584276)Instructions burned: 3 (million)
% 1.04/0.47 % (584268)Instruction limit reached!
% 1.04/0.47 % (584268)------------------------------
% 1.04/0.47 % (584268)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.47 % (584268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.47 % (584268)CaDiCaL version: 2.1.3
% 1.04/0.47 % (584268)Termination reason: Instruction limit
% 1.04/0.47 % (584268)Termination phase: Property scanning
% 1.04/0.47 % (584268)Time elapsed: 0.020 s
% 1.04/0.47 % (584268)Peak memory usage: 11 MB
% 1.04/0.47 % (584268)Instructions burned: 87 (million)
% 1.04/0.47 % (584280)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3984634086:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.04/0.47 % (584290)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1380004712:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.04/0.47 % (584224)Instruction limit reached!
% 1.04/0.47 % (584224)------------------------------
% 1.04/0.47 % (584224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.47 % (584224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.47 % (584224)CaDiCaL version: 2.1.3
% 1.04/0.47 % (584224)Termination reason: Instruction limit
% 1.04/0.47 % (584224)Termination phase: Property scanning
% 1.04/0.47 % (584224)Time elapsed: 0.071 s
% 1.04/0.47 % (584224)Peak memory usage: 13 MB
% 1.04/0.47 % (584224)Instructions burned: 157 (million)
% 1.04/0.47 % (584287)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=216158515:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.04/0.47 % (584290)Instruction limit reached!
% 1.04/0.47 % (584290)------------------------------
% 1.04/0.47 % (584290)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.47 % (584290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.47 % (584290)CaDiCaL version: 2.1.3
% 1.04/0.47 % (584290)Termination reason: Instruction limit
% 1.04/0.47 % (584290)Termination phase: shuffling
% 1.04/0.47 % (584290)Time elapsed: 0.005 s
% 1.04/0.47 % (584290)Peak memory usage: 10 MB
% 1.04/0.47 % (584290)Instructions burned: 22 (million)
% 1.04/0.47 % (584289)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=599652988:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.04/0.47 % (584280)Instruction limit reached!
% 1.04/0.47 % (584280)------------------------------
% 1.04/0.47 % (584280)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.47 % (584280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.47 % (584280)CaDiCaL version: 2.1.3
% 1.04/0.47 % (584280)Termination reason: Instruction limit
% 1.04/0.47 % (584280)Termination phase: Property scanning
% 1.04/0.47 % (584280)Time elapsed: 0.018 s
% 1.04/0.47 % (584280)Peak memory usage: 11 MB
% 1.04/0.47 % (584280)Instructions burned: 40 (million)
% 1.04/0.47 % (584291)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2033009403:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.04/0.47 % (584296)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1432154568:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.04/0.47 % (584296)Instruction limit reached!
% 1.04/0.47 % (584296)------------------------------
% 1.04/0.47 % (584296)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.47 % (584296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.47 % (584296)CaDiCaL version: 2.1.3
% 1.04/0.47 % (584296)Termination reason: Instruction limit
% 1.04/0.47 % (584296)Termination phase: shuffling
% 1.04/0.47 % (584296)Time elapsed: 0.002 s
% 1.04/0.47 % (584296)Peak memory usage: 10 MB
% 1.04/0.47 % (584296)Instructions burned: 8 (million)
% 1.04/0.47 % (584289)Instruction limit reached!
% 1.04/0.47 % (584289)------------------------------
% 1.04/0.47 % (584289)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.47 % (584289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.47 % (584289)CaDiCaL version: 2.1.3
% 1.04/0.47 % (584289)Termination reason: Instruction limit
% 1.04/0.47 % (584289)Termination phase: shuffling
% 1.04/0.47 % (584289)Time elapsed: 0.012 s
% 1.04/0.47 % (584289)Peak memory usage: 10 MB
% 1.04/0.47 % (584289)Instructions burned: 25 (million)
% 1.04/0.47 % (584294)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=418033419:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.04/0.47 % (584301)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3027777414:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.04/0.47 % (584299)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2797760475:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.04/0.47 % (584294)Instruction limit reached!
% 1.04/0.47 % (584294)------------------------------
% 1.04/0.47 % (584294)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.47 % (584294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.47 % (584294)CaDiCaL version: 2.1.3
% 1.04/0.47 % (584294)Termination reason: Instruction limit
% 1.04/0.47 % (584294)Termination phase: shuffling
% 1.04/0.47 % (584294)Time elapsed: 0.008 s
% 1.04/0.47 % (584294)Peak memory usage: 10 MB
% 1.04/0.47 % (584294)Instructions burned: 15 (million)
% 1.04/0.47 % (584301)Instruction limit reached!
% 1.04/0.47 % (584301)------------------------------
% 1.04/0.47 % (584301)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.47 % (584301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.47 % (584301)CaDiCaL version: 2.1.3
% 1.04/0.47 % (584301)Termination reason: Instruction limit
% 1.04/0.47 % (584301)Termination phase: shuffling
% 1.04/0.47 % (584301)Time elapsed: 0.006 s
% 1.04/0.47 % (584301)Peak memory usage: 11 MB
% 1.04/0.47 % (584301)Instructions burned: 25 (million)
% 1.04/0.47 % (584302)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2297786950:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.04/0.47 % (584287) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-584205-584287"...
% 1.04/0.47 % (584221) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-584205-584221"...
% 1.04/0.47 % (584299)Instruction limit reached!
% 1.04/0.47 % (584299)------------------------------
% 1.04/0.47 % (584299)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.47 % (584299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.47 % (584299)CaDiCaL version: 2.1.3
% 1.04/0.47 % (584299)Termination reason: Instruction limit
% 1.04/0.47 % (584299)Termination phase: shuffling
% 1.04/0.47 % (584299)Time elapsed: 0.012 s
% 1.04/0.47 % (584299)Peak memory usage: 10 MB
% 1.04/0.47 % (584299)Instructions burned: 26 (million)
% 1.04/0.47 % (584287)...printing done.
% 1.04/0.47 % (584287)Refutation found. Thanks to Tanya!
% 1.04/0.47 % SZS status Theorem for theBenchmark
% 1.04/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 1.04/0.48 % (584287)------------------------------
% 1.04/0.48 % (584287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.48 % (584287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.48 % (584287)CaDiCaL version: 2.1.3
% 1.04/0.48 % (584287)Termination reason: Refutation
% 1.04/0.48 % (584287)Time elapsed: 0.034 s
% 1.04/0.48 % (584287)Peak memory usage: 13 MB
% 1.04/0.48 % (584287)Instructions burned: 71 (million)
% 1.04/0.48 % (584205)Success in time 0.172 s
% 1.04/0.48 % Vampire exiting
%------------------------------------------------------------------------------