%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP028^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 08:08:01 AM UTC 2026
% Result : Theorem 0.90s 0.55s
% Output : Refutation 0.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 54 ( 24 unt; 0 typ; 6 def)
% Number of atoms : 263 ( 62 equ; 0 cnn)
% Maximal formula atoms : 6 ( 4 avg)
% Number of connectives : 322 ( 69 ~; 55 |; 12 &; 168 @)
% ( 6 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 16 ( 15 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 271 ( 268 usr; 21 con; 0-5 aty)
% Number of variables : 11 ( 0 sgn 8 !; 3 ?; 11 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
set_Pr1710391469_a_a_e: $tType ).
thf(type_def_6,type,
produc169085773_a_a_e: $tType ).
thf(type_def_7,type,
set_se821189730_a_a_e: $tType ).
thf(type_def_8,type,
set_Pr2045688071_set_a: $tType ).
thf(type_def_9,type,
set_Pr204296108_a_a_e: $tType ).
thf(type_def_10,type,
set_Pr305929312_set_a: $tType ).
thf(type_def_11,type,
produc1691597095_set_a: $tType ).
thf(type_def_12,type,
produc715398134_a_a_e: $tType ).
thf(type_def_13,type,
produc1965228714_set_a: $tType ).
thf(type_def_14,type,
set_set_set_a: $tType ).
thf(type_def_15,type,
set_set_a: $tType ).
thf(type_def_16,type,
set_a_e: $tType ).
thf(type_def_17,type,
set_a: $tType ).
thf(type_def_18,type,
e: $tType ).
thf(type_def_19,type,
a: $tType ).
thf(type_def_20,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
bNF_fs1024561536_e_a_e: ( set_a > ( a > e ) > $o ) > ( ( a > e ) > ( a > e ) > $o ) > produc715398134_a_a_e > produc715398134_a_a_e ).
thf(func_def_1,type,
bNF_pi1175744974_e_a_e: ( set_a > ( a > e ) > $o ) > ( ( a > e ) > ( a > e ) > $o ) > set_a > ( a > e ) > a > e ).
thf(func_def_2,type,
bNF_pi929741261_a_a_e: ( set_a > set_a > $o ) > ( set_a > ( a > e ) > $o ) > set_a > ( a > e ) > set_a ).
thf(func_def_3,type,
bNF_sn375433437_a_a_e: ( set_a > set_a > $o ) > ( set_a > ( a > e ) > $o ) > produc715398134_a_a_e > produc715398134_a_a_e ).
thf(func_def_4,type,
bNF_Gr2072183031_a_a_e: set_Pr204296108_a_a_e > ( produc715398134_a_a_e > set_a ) > ( produc715398134_a_a_e > a > e ) > set_Pr204296108_a_a_e ).
thf(func_def_5,type,
bNF_Gr1872575811_a_a_e: set_set_a > ( set_a > set_a ) > ( set_a > a > e ) > set_Pr204296108_a_a_e ).
thf(func_def_6,type,
finite33065488_a_a_e: set_Pr204296108_a_a_e > set_se821189730_a_a_e ).
thf(func_def_7,type,
finite_Fpow_set_a: set_set_a > set_set_set_a ).
thf(func_def_8,type,
finite_Fpow_a: set_a > set_set_a ).
thf(func_def_9,type,
fun_in_rel_set_a_a_e: set_Pr204296108_a_a_e > set_a > ( a > e ) > $o ).
thf(func_def_10,type,
ord_less_eq_o_set_a: ( $o > set_a ) > ( $o > set_a ) > $o ).
thf(func_def_11,type,
ord_less_eq_set_a_e: set_a_e > set_a_e > $o ).
thf(func_def_12,type,
ord_le802356416_set_a: set_Pr305929312_set_a > set_Pr305929312_set_a > $o ).
thf(func_def_13,type,
ord_le700723212_a_a_e: set_Pr204296108_a_a_e > set_Pr204296108_a_a_e > $o ).
thf(func_def_14,type,
ord_le2103863998_set_a: set_set_set_a > set_set_set_a > $o ).
thf(func_def_15,type,
ord_le318720350_set_a: set_set_a > set_set_a > $o ).
thf(func_def_16,type,
ord_less_eq_set_a: set_a > set_a > $o ).
thf(func_def_17,type,
order_Greatest_set_a: ( set_a > $o ) > set_a ).
thf(func_def_18,type,
top_to2000253225_a_e_o: produc715398134_a_a_e > $o ).
thf(func_def_19,type,
top_top_set_a_o: set_a > $o ).
thf(func_def_20,type,
top_to970499581_a_a_e: set_Pr1710391469_a_a_e ).
thf(func_def_21,type,
top_to1601855068_a_a_e: set_Pr204296108_a_a_e ).
thf(func_def_22,type,
top_to144004695_set_a: set_Pr2045688071_set_a ).
thf(func_def_23,type,
top_top_set_set_a: set_set_a ).
thf(func_def_24,type,
top_top_set_a: set_a ).
thf(func_def_25,type,
produc479206876_set_a: ( a > e ) > set_a > produc1965228714_set_a ).
thf(func_def_26,type,
produc1134456688_a_a_e: set_a > ( a > e ) > produc715398134_a_a_e ).
thf(func_def_27,type,
produc952037978_a_e_o: ( produc715398134_a_a_e > $o ) > set_a > ( a > e ) > $o ).
thf(func_def_28,type,
produc387505142_set_a: ( produc715398134_a_a_e > set_a ) > ( produc715398134_a_a_e > set_a ) > produc169085773_a_a_e > produc1691597095_set_a ).
thf(func_def_29,type,
produc1443219402_e_a_e: ( set_a > set_a ) > ( ( a > e ) > a > e ) > produc715398134_a_a_e > produc715398134_a_a_e ).
thf(func_def_30,type,
produc1341862587_a_e_o: ( set_a > ( a > e ) > $o ) > produc715398134_a_a_e > $o ).
thf(func_def_31,type,
produc1096319049_a_a_e: ( set_a > ( a > e ) > set_Pr204296108_a_a_e ) > produc715398134_a_a_e > set_Pr204296108_a_a_e ).
thf(func_def_32,type,
produc1620938593_set_a: ( set_a > ( a > e ) > set_set_a ) > produc715398134_a_a_e > set_set_a ).
thf(func_def_33,type,
produc385678576_set_a: produc1965228714_set_a > a > e ).
thf(func_def_34,type,
produc1040928388_a_a_e: produc715398134_a_a_e > set_a ).
thf(func_def_35,type,
produc1809800494_set_a: produc1965228714_set_a > set_a ).
thf(func_def_36,type,
produc317566658_a_a_e: produc715398134_a_a_e > a > e ).
thf(func_def_37,type,
produc100464700_set_a: produc1965228714_set_a > produc715398134_a_a_e ).
thf(func_def_38,type,
produc755714512_a_a_e: produc715398134_a_a_e > produc1965228714_set_a ).
thf(func_def_39,type,
domain_set_a_a_e: set_Pr204296108_a_a_e > set_set_a ).
thf(func_def_40,type,
range_set_a_a_e: set_Pr204296108_a_a_e > set_a_e ).
thf(func_def_41,type,
converse_a_e_set_a: set_Pr305929312_set_a > set_Pr204296108_a_a_e ).
thf(func_def_42,type,
converse_set_a_a_e: set_Pr204296108_a_a_e > set_Pr305929312_set_a ).
thf(func_def_43,type,
relcom658603713_e_a_e: ( set_a > ( a > e ) > $o ) > ( ( a > e ) > ( a > e ) > $o ) > set_a > ( a > e ) > $o ).
thf(func_def_44,type,
relcom779348378_a_a_e: ( set_a > set_a > $o ) > ( set_a > ( a > e ) > $o ) > set_a > ( a > e ) > $o ).
thf(func_def_45,type,
collec1369693387_a_a_e: ( produc715398134_a_a_e > $o ) > set_Pr204296108_a_a_e ).
thf(func_def_46,type,
collect_set_a: ( set_a > $o ) > set_set_a ).
thf(func_def_47,type,
collect_a: ( a > $o ) > set_a ).
thf(func_def_48,type,
pow_Pr328302361_a_a_e: set_Pr204296108_a_a_e > set_se821189730_a_a_e ).
thf(func_def_49,type,
pow_set_a: set_set_a > set_set_set_a ).
thf(func_def_50,type,
pow_a: set_a > set_set_a ).
thf(func_def_51,type,
image_a_e_a: ( ( a > e ) > a ) > set_a_e > set_a ).
thf(func_def_52,type,
image_376979367_a_a_e: ( produc1965228714_set_a > produc715398134_a_a_e ) > set_Pr305929312_set_a > set_Pr204296108_a_a_e ).
thf(func_def_53,type,
image_2101504031_set_a: ( produc169085773_a_a_e > produc1691597095_set_a ) > set_Pr1710391469_a_a_e > set_Pr2045688071_set_a ).
thf(func_def_54,type,
image_1149879910_e_a_e: ( produc715398134_a_a_e > a > e ) > set_Pr204296108_a_a_e > set_a_e ).
thf(func_def_55,type,
image_1875450791_set_a: ( produc715398134_a_a_e > produc1965228714_set_a ) > set_Pr204296108_a_a_e > set_Pr305929312_set_a ).
thf(func_def_56,type,
image_625620211_a_a_e: ( produc715398134_a_a_e > produc715398134_a_a_e ) > set_Pr204296108_a_a_e > set_Pr204296108_a_a_e ).
thf(func_def_57,type,
image_64240033_set_a: ( produc715398134_a_a_e > set_a ) > set_Pr204296108_a_a_e > set_set_a ).
thf(func_def_58,type,
image_2116492353_a_e_a: ( produc715398134_a_a_e > a ) > set_Pr204296108_a_a_e > set_a ).
thf(func_def_59,type,
image_1441218763_set_a: ( set_Pr204296108_a_a_e > set_set_a ) > set_se821189730_a_a_e > set_set_set_a ).
thf(func_def_60,type,
image_1956910981_set_a: ( set_set_a > set_set_a ) > set_set_set_a > set_set_set_a ).
thf(func_def_61,type,
image_402591269_set_a: ( set_set_a > set_a ) > set_set_set_a > set_set_a ).
thf(func_def_62,type,
image_set_set_a_a: ( set_set_a > a ) > set_set_set_a > set_a ).
thf(func_def_63,type,
image_set_a_a_e: ( set_a > a > e ) > set_set_a > set_a_e ).
thf(func_def_64,type,
image_210900495_a_a_e: ( set_a > produc715398134_a_a_e ) > set_set_a > set_Pr204296108_a_a_e ).
thf(func_def_65,type,
image_1930509541_set_a: ( set_a > set_set_a ) > set_set_a > set_set_set_a ).
thf(func_def_66,type,
image_set_a_set_a: ( set_a > set_a ) > set_set_a > set_set_a ).
thf(func_def_67,type,
image_set_a_a: ( set_a > a ) > set_set_a > set_a ).
thf(func_def_68,type,
image_a_a_e: ( a > a > e ) > set_a > set_a_e ).
thf(func_def_69,type,
image_a_set_set_a: ( a > set_set_a ) > set_a > set_set_set_a ).
thf(func_def_70,type,
image_a_set_a: ( a > set_a ) > set_a > set_set_a ).
thf(func_def_71,type,
image_a_a: ( a > a ) > set_a > set_a ).
thf(func_def_72,type,
member_a_e: ( a > e ) > set_a_e > $o ).
thf(func_def_73,type,
member360729153_set_a: produc1965228714_set_a > set_Pr305929312_set_a > $o ).
thf(func_def_74,type,
member1258382221_a_a_e: produc715398134_a_a_e > set_Pr204296108_a_a_e > $o ).
thf(func_def_75,type,
member1437121347_a_a_e: set_Pr204296108_a_a_e > set_se821189730_a_a_e > $o ).
thf(func_def_76,type,
member_set_set_a: set_set_a > set_set_set_a > $o ).
thf(func_def_77,type,
member_set_a: set_a > set_set_a > $o ).
thf(func_def_78,type,
member_a: a > set_a > $o ).
thf(func_def_79,type,
c: set_Pr204296108_a_a_e ).
thf(func_def_80,type,
a1: set_a ).
thf(func_def_81,type,
a2: set_a ).
thf(func_def_82,type,
a3: set_a ).
thf(func_def_83,type,
b1: a > e ).
thf(func_def_84,type,
b2: a > e ).
thf(func_def_85,type,
b3: a > e ).
thf(func_def_86,type,
thesis: $o ).
thf(func_def_90,type,
vAND: $o > $o > $o ).
thf(func_def_91,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_92,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_93,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_94,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_95,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_96,type,
vIMP: $o > $o > $o ).
thf(func_def_97,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_98,type,
sK0: set_a > set_a > a ).
thf(func_def_99,type,
sK1: ( set_a > set_a ) > set_set_a > set_set_a > set_set_a ).
thf(func_def_100,type,
sK2: set_Pr204296108_a_a_e > set_Pr204296108_a_a_e > set_a ).
thf(func_def_101,type,
sK3: set_Pr204296108_a_a_e > set_Pr204296108_a_a_e > a > e ).
thf(func_def_102,type,
sK4: ( set_a > set_set_a ) > set_a ).
thf(func_def_103,type,
sK5: ( set_a > set_set_a ) > set_a ).
thf(func_def_104,type,
sK6: set_Pr204296108_a_a_e > ( a > e ) > set_a ).
thf(func_def_105,type,
sK7: set_Pr204296108_a_a_e > ( a > e ) > a > e ).
thf(func_def_106,type,
sK8: ( ( a > e ) > set_a > $o ) > a > e ).
thf(func_def_107,type,
sK9: ( ( a > e ) > set_a > $o ) > set_a ).
thf(func_def_108,type,
sK10: produc715398134_a_a_e ).
thf(func_def_109,type,
sK11: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_110,type,
sK12: ( produc715398134_a_a_e > set_a ) > set_a > produc715398134_a_a_e ).
thf(func_def_111,type,
sK13: ( set_a > ( a > e ) > set_set_a ) > set_a > produc715398134_a_a_e > a > e ).
thf(func_def_112,type,
sK14: ( set_a > ( a > e ) > set_set_a ) > set_a > produc715398134_a_a_e > set_a ).
thf(func_def_113,type,
sK15: set_Pr204296108_a_a_e > set_Pr204296108_a_a_e > ( produc715398134_a_a_e > produc715398134_a_a_e ) > produc715398134_a_a_e ).
thf(func_def_114,type,
sK16: set_Pr204296108_a_a_e > set_a > a > e ).
thf(func_def_115,type,
sK17: ( set_a > set_a ) > set_a ).
thf(func_def_116,type,
sK18: ( set_a > set_a ) > set_a ).
thf(func_def_117,type,
sK19: ( set_a > set_set_a ) > set_set_set_a > set_set_a > set_set_a ).
thf(func_def_118,type,
sK20: set_a > ( a > set_set_a ) > set_set_set_a > set_a ).
thf(func_def_119,type,
sK21: ( set_set_a > set_a ) > set_set_set_a > set_set_a > set_set_set_a ).
thf(func_def_120,type,
sK22: ( set_a > set_a ) > set_a ).
thf(func_def_121,type,
sK23: ( set_a > set_a ) > set_a ).
thf(func_def_122,type,
sK24: ( ( $o > set_a ) > set_set_set_a ) > $o > set_a ).
thf(func_def_123,type,
sK25: ( ( $o > set_a ) > set_set_set_a ) > $o > set_a ).
thf(func_def_124,type,
sK26: set_a ).
thf(func_def_125,type,
sK27: ( produc715398134_a_a_e > set_a ) > set_a ).
thf(func_def_126,type,
sK28: set_a > ( produc715398134_a_a_e > set_a ) > produc715398134_a_a_e ).
thf(func_def_127,type,
sK29: set_set_a > ( set_a > a ) > set_a > set_set_a ).
thf(func_def_128,type,
sK30: produc715398134_a_a_e > a > e ).
thf(func_def_129,type,
sK31: produc715398134_a_a_e > set_a ).
thf(func_def_130,type,
sK32: ( set_a > set_a ) > set_set_a > set_set_a > set_a ).
thf(func_def_131,type,
sK33: ( set_a > produc715398134_a_a_e ) > ( produc715398134_a_a_e > set_a ) > set_a ).
thf(func_def_132,type,
sK34: set_Pr204296108_a_a_e > ( produc715398134_a_a_e > set_a ) > ( set_a > $o ) > set_a ).
thf(func_def_133,type,
sK35: produc1965228714_set_a > a > e ).
thf(func_def_134,type,
sK36: produc1965228714_set_a > set_a ).
thf(func_def_135,type,
sK37: ( ( $o > set_a ) > set_set_a ) > $o > set_a ).
thf(func_def_136,type,
sK38: ( ( $o > set_a ) > set_set_a ) > $o > set_a ).
thf(func_def_137,type,
sK39: ( produc715398134_a_a_e > set_a ) > set_Pr204296108_a_a_e > ( produc715398134_a_a_e > set_a ) > produc715398134_a_a_e ).
thf(func_def_138,type,
sK40: ( set_a > $o ) > set_Pr204296108_a_a_e > ( produc715398134_a_a_e > set_a ) > produc715398134_a_a_e ).
thf(func_def_139,type,
sK41: set_set_a > set_a > ( set_a > a ) > set_a ).
thf(func_def_140,type,
sK42: ( set_set_a > $o > set_a ) > set_set_a ).
thf(func_def_141,type,
sK43: ( set_set_a > $o > set_a ) > set_set_a ).
thf(func_def_142,type,
sK44: set_Pr204296108_a_a_e > ( produc715398134_a_a_e > set_a ) > ( produc715398134_a_a_e > set_a ) > produc715398134_a_a_e ).
thf(func_def_143,type,
sK45: ( a > e ) > set_Pr204296108_a_a_e > set_a ).
thf(func_def_144,type,
sK46: ( set_set_a > set_set_a ) > set_set_a ).
thf(func_def_145,type,
sK47: ( set_set_a > set_set_a ) > set_set_a ).
thf(func_def_146,type,
sK48: produc1965228714_set_a > set_Pr204296108_a_a_e > set_a ).
thf(func_def_147,type,
sK49: produc1965228714_set_a > set_Pr204296108_a_a_e > a > e ).
thf(func_def_148,type,
sK50: set_Pr204296108_a_a_e > ( a > e ) > set_a > a > e ).
thf(func_def_149,type,
sK51: set_Pr204296108_a_a_e > ( a > e ) > set_a > set_a ).
thf(func_def_150,type,
sK52: set_a > ( a > e ) > set_Pr305929312_set_a > a > e ).
thf(func_def_151,type,
sK53: set_a > ( a > e ) > set_Pr305929312_set_a > set_a ).
thf(func_def_152,type,
sK54: set_set_a > ( produc715398134_a_a_e > set_a ) > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_153,type,
sK55: set_set_a > set_set_a > ( set_a > set_a ) > set_set_a ).
thf(func_def_154,type,
sK56: set_Pr204296108_a_a_e > ( produc715398134_a_a_e > produc715398134_a_a_e ) > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_155,type,
sK57: set_Pr305929312_set_a > set_Pr305929312_set_a > produc1965228714_set_a ).
thf(func_def_156,type,
sK58: ( produc715398134_a_a_e > $o ) > set_a ).
thf(func_def_157,type,
sK59: ( produc715398134_a_a_e > $o ) > a > e ).
thf(func_def_158,type,
sK60: ( a > e ) > set_Pr204296108_a_a_e > set_a ).
thf(func_def_159,type,
sK61: set_a > set_a > ( a > a ) > a ).
thf(func_def_160,type,
sK62: ( set_set_a > set_set_set_a ) > set_set_a ).
thf(func_def_161,type,
sK63: ( set_set_a > set_set_set_a ) > set_set_a ).
thf(func_def_162,type,
sK64: ( set_a > set_a ) > set_set_a > set_set_a > set_a ).
thf(func_def_163,type,
sK65: set_Pr204296108_a_a_e > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_164,type,
sK66: ( ( $o > set_a ) > set_Pr204296108_a_a_e ) > $o > set_a ).
thf(func_def_165,type,
sK67: ( ( $o > set_a ) > set_Pr204296108_a_a_e ) > $o > set_a ).
thf(func_def_166,type,
sK68: set_a > set_a > a ).
thf(func_def_167,type,
sK69: set_a > set_Pr204296108_a_a_e > ( produc715398134_a_a_e > set_a ) > produc715398134_a_a_e ).
thf(func_def_168,type,
sK70: set_set_a > set_set_a > set_a ).
thf(func_def_169,type,
sK71: set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_170,type,
sK72: ( set_a > ( a > e ) > $o ) > set_Pr305929312_set_a > set_a ).
thf(func_def_171,type,
sK73: ( set_a > ( a > e ) > $o ) > set_Pr305929312_set_a > a > e ).
thf(func_def_172,type,
sK74: ( ( $o > set_a ) > set_a ) > $o > set_a ).
thf(func_def_173,type,
sK75: ( ( $o > set_a ) > set_a ) > $o > set_a ).
thf(func_def_174,type,
sK76: ( set_set_set_a > set_a ) > set_set_set_a ).
thf(func_def_175,type,
sK77: ( set_set_set_a > set_a ) > set_set_set_a ).
thf(func_def_176,type,
sK78: ( set_a > set_a ) > set_set_a > set_set_a > set_a ).
thf(func_def_177,type,
sK79: set_Pr305929312_set_a > produc715398134_a_a_e > a > e ).
thf(func_def_178,type,
sK80: set_Pr305929312_set_a > produc715398134_a_a_e > set_a ).
thf(func_def_179,type,
sK81: ( set_set_a > set_a ) > set_set_a ).
thf(func_def_180,type,
sK82: ( set_set_a > set_a ) > set_set_a ).
thf(func_def_181,type,
sK83: set_Pr204296108_a_a_e > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_182,type,
sK84: set_a > set_a > ( a > a ) > set_a ).
thf(func_def_183,type,
sK85: set_set_a > ( set_a > produc715398134_a_a_e ) > set_Pr204296108_a_a_e > set_a ).
thf(func_def_184,type,
sK86: ( set_a > set_a ) > ( ( a > e ) > a > e ) > set_Pr204296108_a_a_e > produc715398134_a_a_e > a > e ).
thf(func_def_185,type,
sK87: ( set_a > set_a ) > ( ( a > e ) > a > e ) > set_Pr204296108_a_a_e > produc715398134_a_a_e > set_a ).
thf(func_def_186,type,
sK88: set_a > set_a > a ).
thf(func_def_187,type,
sK89: set_a > set_Pr204296108_a_a_e > a > e ).
thf(func_def_188,type,
sK90: set_set_a > set_a ).
thf(func_def_189,type,
sK91: set_set_a > ( set_set_a > set_a ) > set_set_set_a > set_set_set_a ).
thf(func_def_190,type,
sK92: set_Pr204296108_a_a_e > set_a > a > e ).
thf(func_def_191,type,
sK93: set_a_e > set_a_e > a > e ).
thf(func_def_192,type,
sK94: ( set_a > set_a ) > set_a ).
thf(func_def_193,type,
sK95: ( set_a > set_a ) > set_a ).
thf(func_def_194,type,
sK96: set_set_set_a > set_se821189730_a_a_e > ( set_Pr204296108_a_a_e > set_set_a ) > set_Pr204296108_a_a_e ).
thf(func_def_195,type,
sK97: set_set_a > set_set_a > set_a ).
thf(func_def_196,type,
sK98: ( set_a > produc715398134_a_a_e ) > set_set_a > set_Pr204296108_a_a_e > set_a ).
thf(func_def_197,type,
sK99: set_a > set_set_a > ( a > set_a ) > a ).
thf(func_def_198,type,
sK100: set_a > ( ( a > e ) > a ) > set_a_e > a > e ).
thf(func_def_199,type,
sK101: set_set_set_a > ( set_a > set_set_a ) > set_set_a > set_set_a ).
thf(func_def_200,type,
sK102: set_Pr204296108_a_a_e > ( set_set_a > $o ) > ( produc715398134_a_a_e > set_a ) > set_Pr204296108_a_a_e ).
thf(func_def_201,type,
sK103: set_Pr204296108_a_a_e > ( set_set_a > $o ) > ( produc715398134_a_a_e > set_a ) > set_set_a ).
thf(func_def_202,type,
sK104: ( set_a > $o ) > ( a > a ) > set_a > set_a ).
thf(func_def_203,type,
sK105: ( set_a > $o ) > ( a > a ) > set_a > set_a ).
thf(func_def_204,type,
sK106: ( produc715398134_a_a_e > set_a ) > set_a > produc715398134_a_a_e ).
thf(func_def_205,type,
sK107: produc715398134_a_a_e > a > e ).
thf(func_def_206,type,
sK108: produc715398134_a_a_e > set_a ).
thf(func_def_207,type,
sK109: set_set_set_a > ( set_set_a > a ) > set_a > set_set_set_a ).
thf(func_def_208,type,
sK110: ( produc715398134_a_a_e > $o ) > a > e ).
thf(func_def_209,type,
sK111: ( produc715398134_a_a_e > $o ) > set_a ).
thf(func_def_210,type,
sK112: set_Pr204296108_a_a_e > set_a > ( produc715398134_a_a_e > a ) > produc715398134_a_a_e ).
thf(func_def_211,type,
sK113: ( set_a > produc715398134_a_a_e ) > set_Pr204296108_a_a_e > set_set_a > set_a ).
thf(func_def_212,type,
sK114: set_set_a > set_set_a > set_a ).
thf(func_def_213,type,
sK115: ( ( a > e ) > set_a > $o ) > set_Pr204296108_a_a_e > set_a ).
thf(func_def_214,type,
sK116: ( ( a > e ) > set_a > $o ) > set_Pr204296108_a_a_e > a > e ).
thf(func_def_215,type,
sK117: set_Pr204296108_a_a_e > set_a > set_a ).
thf(func_def_216,type,
sK118: set_Pr204296108_a_a_e > set_a > a > e ).
thf(func_def_217,type,
sK119: set_a > ( produc715398134_a_a_e > set_a ) > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_218,type,
sK120: set_Pr204296108_a_a_e > set_set_a > ( produc715398134_a_a_e > set_a ) > set_Pr204296108_a_a_e ).
thf(func_def_219,type,
sK121: set_set_set_a > ( set_set_a > set_set_a ) > set_set_set_a > set_set_set_a ).
thf(func_def_220,type,
sK122: set_set_a > set_Pr204296108_a_a_e > ( produc715398134_a_a_e > set_a ) > set_Pr204296108_a_a_e ).
thf(func_def_221,type,
sK123: set_set_a > ( set_a > a ) > set_a > set_a ).
thf(func_def_222,type,
sK124: ( a > e ) > set_Pr204296108_a_a_e > set_a ).
thf(func_def_223,type,
sK125: ( a > a ) > set_a > set_a > set_a ).
thf(func_def_224,type,
sK126: produc715398134_a_a_e > produc715398134_a_a_e > ( set_a > ( a > e ) > set_Pr204296108_a_a_e ) > a > e ).
thf(func_def_225,type,
sK127: produc715398134_a_a_e > produc715398134_a_a_e > ( set_a > ( a > e ) > set_Pr204296108_a_a_e ) > set_a ).
thf(func_def_226,type,
sK128: set_a ).
thf(func_def_227,type,
sK129: set_Pr204296108_a_a_e > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_228,type,
sK130: produc715398134_a_a_e > ( a > e ) > set_a ).
thf(func_def_229,type,
sK131: set_a > produc715398134_a_a_e > a > e ).
thf(func_def_230,type,
sK132: ( set_a > set_set_set_a ) > set_a ).
thf(func_def_231,type,
sK133: ( set_a > set_set_set_a ) > set_a ).
thf(func_def_232,type,
sK134: ( set_a > a ) > set_set_a > set_a > set_set_a ).
thf(func_def_233,type,
sK135: set_set_set_a > set_set_set_a > set_set_a ).
thf(func_def_234,type,
sK136: ( a > set_a ) > set_set_a > set_a > set_a ).
thf(func_def_235,type,
sK137: set_Pr204296108_a_a_e > ( ( a > e ) > $o ) > a > e ).
thf(func_def_236,type,
sK138: set_Pr204296108_a_a_e > ( ( a > e ) > $o ) > set_a ).
thf(func_def_237,type,
sK139: set_set_set_a > ( set_set_a > set_set_a ) > set_set_set_a > set_set_set_a ).
thf(func_def_238,type,
sK140: set_a > set_a > a ).
thf(func_def_239,type,
sK141: set_set_a > set_Pr204296108_a_a_e > ( produc715398134_a_a_e > set_a ) > produc715398134_a_a_e ).
thf(func_def_240,type,
sK142: set_Pr204296108_a_a_e > ( set_a > $o ) > a > e ).
thf(func_def_241,type,
sK143: set_Pr204296108_a_a_e > ( set_a > $o ) > set_a ).
thf(func_def_242,type,
sK144: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_243,type,
sK145: set_set_a > set_set_a > set_a ).
thf(func_def_244,type,
sK146: ( set_set_a > a ) > set_set_set_a > set_a > set_set_set_a ).
thf(func_def_245,type,
sK147: set_set_a > set_a_e > ( set_a > ( a > e ) > $o ) > ( set_a > ( a > e ) > $o ) > set_a ).
thf(func_def_246,type,
sK148: set_set_a > set_a_e > ( set_a > ( a > e ) > $o ) > ( set_a > ( a > e ) > $o ) > a > e ).
thf(func_def_247,type,
sK149: set_a > set_set_set_a > ( a > set_set_a ) > set_a ).
thf(func_def_248,type,
sK150: set_Pr204296108_a_a_e > ( produc715398134_a_a_e > set_a ) > ( produc715398134_a_a_e > set_a ) > produc715398134_a_a_e ).
thf(func_def_249,type,
sK151: ( set_a > $o > set_a ) > set_a ).
thf(func_def_250,type,
sK152: ( set_a > $o > set_a ) > set_a ).
thf(func_def_251,type,
sK153: ( set_a > $o ) > set_a > set_a ).
thf(func_def_252,type,
sK154: ( set_a > set_a ) > set_a ).
thf(func_def_253,type,
sK155: ( set_a > set_a ) > set_a ).
thf(func_def_254,type,
sK156: set_Pr204296108_a_a_e > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_255,type,
sK157: set_a_e > ( a > a > e ) > set_a > a ).
thf(func_def_256,type,
sK158: ( ( $o > set_a ) > $o > set_a ) > $o > set_a ).
thf(func_def_257,type,
sK159: ( ( $o > set_a ) > $o > set_a ) > $o > set_a ).
thf(func_def_258,type,
sK160: ( set_a > $o ) > ( set_a > $o ) > set_a ).
thf(func_def_259,type,
sK161: set_a > ( set_a > $o ) > set_a ).
thf(func_def_260,type,
sK162: ( produc715398134_a_a_e > set_a ) > set_set_a > set_Pr204296108_a_a_e > produc715398134_a_a_e ).
thf(func_def_261,type,
sK163: set_a > ( a > a ) > set_a > a ).
thf(func_def_262,type,
sK164: set_set_a > ( a > set_a ) > set_a > set_a ).
thf(func_def_263,type,
vNOT: $o > $o ).
thf(f2,axiom,
? [X0: set_a] :
( ( ord_less_eq_set_a @ a2 @ X0 )
& ( ord_less_eq_set_a @ a3 @ X0 )
& ( member_set_a @ X0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
& ( ord_less_eq_set_a @ a1 @ X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1__092_060open_062_092_060exists_062a_092_060in_062fst_A_096_AC_O_Aa1_A_092_060subseteq_062_Aa_A_092_060and_062_Aa2_A_092_060subseteq_062_Aa_A_092_060and_062_Aa3_A_092_060subseteq_062_Aa_092_060close_062) ).
thf(f353,axiom,
! [X0: set_a] :
( ( member_set_a @ X0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
=> ( ( ord_less_eq_set_a @ a1 @ X0 )
=> ( ( ord_less_eq_set_a @ a2 @ X0 )
=> ( ( ord_less_eq_set_a @ a3 @ X0 )
=> thesis ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(f354,conjecture,
thesis,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
thf(f355,negated_conjecture,
~ thesis,
inference(negated_conjecture,[status(cth)],[f354]) ).
thf(f790,plain,
? [X0: set_a] :
( ( ord_less_eq_set_a @ a2 @ X0 )
& ( ord_less_eq_set_a @ a3 @ X0 )
& ( member_set_a @ X0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
& ( ord_less_eq_set_a @ a1 @ X0 ) ),
inference(rectify,[],[f2]) ).
thf(f791,plain,
? [X0: set_a] :
( ( ( ord_less_eq_set_a @ a2 @ X0 )
= $true )
& ( ( ord_less_eq_set_a @ a3 @ X0 )
= $true )
& ( ( member_set_a @ X0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
= $true )
& ( ( ord_less_eq_set_a @ a1 @ X0 )
= $true ) ),
inference(fool_elimination,[],[f790]) ).
thf(f793,plain,
~ thesis,
inference(rectify,[],[f355]) ).
thf(f794,plain,
thesis != $true,
inference(fool_elimination,[],[f793]) ).
thf(f875,plain,
! [X0: set_a] :
( ( member_set_a @ X0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
=> ( ( ord_less_eq_set_a @ a1 @ X0 )
=> ( ( ord_less_eq_set_a @ a2 @ X0 )
=> ( ( ord_less_eq_set_a @ a3 @ X0 )
=> thesis ) ) ) ),
inference(rectify,[],[f353]) ).
thf(f876,plain,
! [X0: set_a] :
( ( ( member_set_a @ X0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
= $true )
=> ( ( ( ord_less_eq_set_a @ a1 @ X0 )
= $true )
=> ( ( ( ord_less_eq_set_a @ a2 @ X0 )
= $true )
=> ( ( ( ord_less_eq_set_a @ a3 @ X0 )
= $true )
=> ( thesis = $true ) ) ) ) ),
inference(fool_elimination,[],[f875]) ).
thf(f1016,plain,
thesis != $true,
inference(flattening,[],[f794]) ).
thf(f1200,plain,
! [X0: set_a] :
( ( thesis = $true )
| ( ( ord_less_eq_set_a @ a3 @ X0 )
!= $true )
| ( ( ord_less_eq_set_a @ a2 @ X0 )
!= $true )
| ( ( ord_less_eq_set_a @ a1 @ X0 )
!= $true )
| ( ( member_set_a @ X0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
!= $true ) ),
inference(ennf_transformation,[],[f876]) ).
thf(f1201,plain,
! [X0: set_a] :
( ( ( ord_less_eq_set_a @ a1 @ X0 )
!= $true )
| ( thesis = $true )
| ( ( ord_less_eq_set_a @ a2 @ X0 )
!= $true )
| ( ( ord_less_eq_set_a @ a3 @ X0 )
!= $true )
| ( ( member_set_a @ X0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
!= $true ) ),
inference(flattening,[],[f1200]) ).
thf(f1688,plain,
( ( ( ord_less_eq_set_a @ a2 @ sK128 )
= $true )
& ( $true
= ( ord_less_eq_set_a @ a3 @ sK128 ) )
& ( ( member_set_a @ sK128 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
= $true )
& ( $true
= ( ord_less_eq_set_a @ a1 @ sK128 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK128]),skolemize(X0,sK128)],[f791]) ).
thf(f2155,plain,
( $true
= ( ord_less_eq_set_a @ a1 @ sK128 ) ),
inference(cnf_transformation,[],[f1688]) ).
thf(f2156,plain,
( ( member_set_a @ sK128 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
= $true ),
inference(cnf_transformation,[],[f1688]) ).
thf(f2157,plain,
( $true
= ( ord_less_eq_set_a @ a3 @ sK128 ) ),
inference(cnf_transformation,[],[f1688]) ).
thf(f2158,plain,
( ( ord_less_eq_set_a @ a2 @ sK128 )
= $true ),
inference(cnf_transformation,[],[f1688]) ).
thf(f2170,plain,
thesis != $true,
inference(cnf_transformation,[],[f1016]) ).
thf(f2177,plain,
! [X0: set_a] :
( ( ( ord_less_eq_set_a @ a1 @ X0 )
!= $true )
| ( ( member_set_a @ X0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
!= $true )
| ( ( ord_less_eq_set_a @ a2 @ X0 )
!= $true )
| ( thesis = $true )
| ( ( ord_less_eq_set_a @ a3 @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f1201]) ).
thf(f2459,definition,
( spl165_2
<=> ( thesis = $true ) ),
introduced(definition,[new_symbols(definition,[spl165_2])],[avatar_definition]) ).
thf(f2462,plain,
~ spl165_2,
inference(avatar_split_clause,[],[f2170,f2459]) ).
thf(f2499,definition,
( spl165_10
<=> ( ( member_set_a @ sK128 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl165_10])],[avatar_definition]) ).
thf(f2501,plain,
( ( ( member_set_a @ sK128 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
= $true )
| ~ spl165_10 ),
inference(avatar_component_clause,[],[f2499]) ).
thf(f2502,plain,
spl165_10,
inference(avatar_split_clause,[],[f2156,f2499]) ).
thf(f2523,definition,
( spl165_15
<=> ( $true
= ( ord_less_eq_set_a @ a3 @ sK128 ) ) ),
introduced(definition,[new_symbols(definition,[spl165_15])],[avatar_definition]) ).
thf(f2525,plain,
( ( $true
= ( ord_less_eq_set_a @ a3 @ sK128 ) )
| ~ spl165_15 ),
inference(avatar_component_clause,[],[f2523]) ).
thf(f2526,plain,
spl165_15,
inference(avatar_split_clause,[],[f2157,f2523]) ).
thf(f2553,definition,
( spl165_21
<=> ! [X0: set_a] :
( ( ( ord_less_eq_set_a @ a1 @ X0 )
!= $true )
| ( ( ord_less_eq_set_a @ a3 @ X0 )
!= $true )
| ( ( ord_less_eq_set_a @ a2 @ X0 )
!= $true )
| ( ( member_set_a @ X0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl165_21])],[avatar_definition]) ).
thf(f2554,plain,
( ! [X0: set_a] :
( ( ( member_set_a @ X0 @ ( image_64240033_set_a @ produc1040928388_a_a_e @ c ) )
!= $true )
| ( ( ord_less_eq_set_a @ a3 @ X0 )
!= $true )
| ( ( ord_less_eq_set_a @ a2 @ X0 )
!= $true )
| ( ( ord_less_eq_set_a @ a1 @ X0 )
!= $true ) )
| ~ spl165_21 ),
inference(avatar_component_clause,[],[f2553]) ).
thf(f2555,plain,
( spl165_2
| spl165_21 ),
inference(avatar_split_clause,[],[f2177,f2553,f2459]) ).
thf(f2625,definition,
( spl165_36
<=> ( $true
= ( ord_less_eq_set_a @ a1 @ sK128 ) ) ),
introduced(definition,[new_symbols(definition,[spl165_36])],[avatar_definition]) ).
thf(f2627,plain,
( ( $true
= ( ord_less_eq_set_a @ a1 @ sK128 ) )
| ~ spl165_36 ),
inference(avatar_component_clause,[],[f2625]) ).
thf(f2628,plain,
spl165_36,
inference(avatar_split_clause,[],[f2155,f2625]) ).
thf(f2645,definition,
( spl165_40
<=> ( ( ord_less_eq_set_a @ a2 @ sK128 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl165_40])],[avatar_definition]) ).
thf(f2647,plain,
( ( ( ord_less_eq_set_a @ a2 @ sK128 )
= $true )
| ~ spl165_40 ),
inference(avatar_component_clause,[],[f2645]) ).
thf(f2648,plain,
spl165_40,
inference(avatar_split_clause,[],[f2158,f2645]) ).
thf(f2680,plain,
( ( $true
!= ( ord_less_eq_set_a @ a3 @ sK128 ) )
| ( $true
!= ( ord_less_eq_set_a @ a1 @ sK128 ) )
| ( ( ord_less_eq_set_a @ a2 @ sK128 )
!= $true )
| ( $true != $true )
| ~ spl165_10
| ~ spl165_21 ),
inference(superposition,[],[f2554,f2501]) ).
thf(f2681,plain,
( ( ( ord_less_eq_set_a @ a2 @ sK128 )
!= $true )
| ( $true
!= ( ord_less_eq_set_a @ a3 @ sK128 ) )
| ( $true
!= ( ord_less_eq_set_a @ a1 @ sK128 ) )
| ~ spl165_10
| ~ spl165_21 ),
inference(trivial_inequality_removal,[],[f2680]) ).
thf(f2682,plain,
( ( $true
!= ( ord_less_eq_set_a @ a1 @ sK128 ) )
| ( $true
!= ( ord_less_eq_set_a @ a3 @ sK128 ) )
| ~ spl165_10
| ~ spl165_21
| ~ spl165_40 ),
inference(forward_subsumption_resolution,[],[f2681,f2647]) ).
thf(f2683,plain,
( ( $true
!= ( ord_less_eq_set_a @ a3 @ sK128 ) )
| ~ spl165_10
| ~ spl165_21
| ~ spl165_36
| ~ spl165_40 ),
inference(forward_subsumption_resolution,[],[f2682,f2627]) ).
thf(f2684,plain,
( $false
| ~ spl165_10
| ~ spl165_15
| ~ spl165_21
| ~ spl165_36
| ~ spl165_40 ),
inference(forward_subsumption_resolution,[],[f2683,f2525]) ).
thf(f2685,plain,
( ~ spl165_10
| ~ spl165_15
| ~ spl165_21
| ~ spl165_36
| ~ spl165_40 ),
inference(avatar_contradiction_clause,[],[f2684]) ).
cnf(s2,plain,
~ spl165_2,
inference(sat_conversion,[],[f2462]) ).
cnf(s10,plain,
spl165_10,
inference(sat_conversion,[],[f2502]) ).
cnf(s14,plain,
spl165_15,
inference(sat_conversion,[],[f2526]) ).
cnf(s20,plain,
( spl165_2
| spl165_21 ),
inference(sat_conversion,[],[f2555]) ).
cnf(s42,plain,
spl165_36,
inference(sat_conversion,[],[f2628]) ).
cnf(s47,plain,
spl165_40,
inference(sat_conversion,[],[f2648]) ).
cnf(s53,plain,
( ~ spl165_10
| ~ spl165_15
| ~ spl165_21
| ~ spl165_36
| ~ spl165_40 ),
inference(sat_conversion,[],[f2685]) ).
cnf(s54,plain,
~ spl165_21,
inference(rat,[],[s53,s47,s42,s14,s10]) ).
cnf(s55,plain,
spl165_2,
inference(rat,[],[s20,s54]) ).
cnf(s56,plain,
$false,
inference(rat,[],[s2,s55]) ).
thf(f2686,plain,
$false,
inference(avatar_sat_refutation,[],[s56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP028^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.22 % Computer : n016.cluster.edu
% 0.11/0.22 % Model : x86_64 x86_64
% 0.11/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.22 % Memory : 8046.5625MB
% 0.11/0.22 % OS : Linux 6.8.0-71-generic
% 0.11/0.22 % CPULimit : 300
% 0.11/0.22 % WCLimit : 300
% 0.11/0.22 % DateTime : Tue Sep 29 19:43:20 UTC 2026
% 0.11/0.22 % CPUTime :
% 0.11/0.22 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.26 Running higher-order theorem proving
% 0.21/0.32 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.90/0.54 % (813695)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.90/0.54 % (813701)lrs+10_16_si=on:nwc=1.5:random_seed=455143883:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.90/0.54 % (813700)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1779545768:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.90/0.54 % (813701)Instruction limit reached!
% 0.90/0.54 % (813701)------------------------------
% 0.90/0.54 % (813701)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.54 % (813701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.54 % (813701)CaDiCaL version: 2.1.3
% 0.90/0.54 % (813701)Termination reason: Instruction limit
% 0.90/0.54 % (813701)Termination phase: shuffling
% 0.90/0.54 % (813701)Time elapsed: 0.008 s
% 0.90/0.54 % (813701)Peak memory usage: 10 MB
% 0.90/0.54 % (813701)Instructions burned: 18 (million)
% 0.90/0.54 % (813702)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1513193281:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.90/0.54 % (813702)Instruction limit reached!
% 0.90/0.54 % (813702)------------------------------
% 0.90/0.54 % (813702)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.54 % (813702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.54 % (813702)CaDiCaL version: 2.1.3
% 0.90/0.54 % (813702)Termination reason: Instruction limit
% 0.90/0.54 % (813702)Termination phase: shuffling
% 0.90/0.54 % (813702)Time elapsed: 0.003 s
% 0.90/0.54 % (813702)Peak memory usage: 10 MB
% 0.90/0.54 % (813702)Instructions burned: 3 (million)
% 0.90/0.54 % (813706)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.90/0.54 % (813706)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
% 0.90/0.54 % (813706)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=729948409:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.90/0.54 % (813704)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3272114068:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.90/0.54 % (813703)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=650326198: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)
% 0.90/0.54 % (813705)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3353011826:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.90/0.54 % (813709)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1770980561:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.90/0.54 % (813709)Instruction limit reached!
% 0.90/0.54 % (813709)------------------------------
% 0.90/0.54 % (813709)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.54 % (813709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.54 % (813709)CaDiCaL version: 2.1.3
% 0.90/0.54 % (813709)Termination reason: Instruction limit
% 0.90/0.54 % (813709)Termination phase: shuffling
% 0.90/0.54 % (813709)Time elapsed: 0.006 s
% 0.90/0.54 % (813709)Peak memory usage: 10 MB
% 0.90/0.54 % (813709)Instructions burned: 3 (million)
% 0.90/0.54 % (813700)Instruction limit reached!
% 0.90/0.54 % (813700)------------------------------
% 0.90/0.54 % (813700)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.54 % (813700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.54 % (813700)CaDiCaL version: 2.1.3
% 0.90/0.54 % (813700)Termination reason: Instruction limit
% 0.90/0.54 % (813700)Termination phase: Function definition elimination
% 0.90/0.54 % (813700)Time elapsed: 0.041 s
% 0.90/0.54 % (813700)Peak memory usage: 12 MB
% 0.90/0.54 % (813700)Instructions burned: 88 (million)
% 0.90/0.54 % (813704)Instruction limit reached!
% 0.90/0.54 % (813704)------------------------------
% 0.90/0.54 % (813704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.54 % (813704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.54 % (813704)CaDiCaL version: 2.1.3
% 0.90/0.54 % (813704)Termination reason: Instruction limit
% 0.90/0.54 % (813704)Termination phase: Property scanning
% 0.90/0.54 % (813704)Time elapsed: 0.020 s
% 0.90/0.54 % (813704)Peak memory usage: 10 MB
% 0.90/0.54 % (813704)Instructions burned: 25 (million)
% 0.90/0.54 % (813711)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1239537914:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.90/0.54 % (813717)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.90/0.54 % (813711)Instruction limit reached!
% 0.90/0.54 % (813711)------------------------------
% 0.90/0.54 % (813711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.54 % (813711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.54 % (813711)CaDiCaL version: 2.1.3
% 0.90/0.54 % (813711)Termination reason: Instruction limit
% 0.90/0.54 % (813711)Termination phase: shuffling
% 0.90/0.54 % (813719)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
% 0.90/0.54 % (813711)Time elapsed: 0.011 s
% 0.90/0.54 % (813711)Peak memory usage: 10 MB
% 0.90/0.54 % (813711)Instructions burned: 6 (million)
% 0.90/0.54 % (813719)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.90/0.54 % (813717)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=675027466:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.90/0.54 % (813719)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1716475048:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.90/0.54 % (813717)Instruction limit reached!
% 0.90/0.54 % (813717)------------------------------
% 0.90/0.54 % (813717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.54 % (813717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.54 % (813717)CaDiCaL version: 2.1.3
% 0.90/0.54 % (813717)Termination reason: Instruction limit
% 0.90/0.54 % (813717)Termination phase: shuffling
% 0.90/0.54 % (813717)Time elapsed: 0.004 s
% 0.90/0.54 % (813717)Peak memory usage: 10 MB
% 0.90/0.54 % (813717)Instructions burned: 8 (million)
% 0.90/0.54 % (813718)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3395971034:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.90/0.54 % (813719)Instruction limit reached!
% 0.90/0.54 % (813719)------------------------------
% 0.90/0.54 % (813719)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.54 % (813719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.54 % (813719)CaDiCaL version: 2.1.3
% 0.90/0.54 % (813719)Termination reason: Instruction limit
% 0.90/0.54 % (813719)Termination phase: shuffling
% 0.90/0.54 % (813719)Time elapsed: 0.012 s
% 0.90/0.54 % (813719)Peak memory usage: 10 MB
% 0.90/0.54 % (813719)Instructions burned: 28 (million)
% 0.90/0.54 % (813718)Instruction limit reached!
% 0.90/0.54 % (813718)------------------------------
% 0.90/0.54 % (813718)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.54 % (813718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.54 % (813718)CaDiCaL version: 2.1.3
% 0.90/0.54 % (813718)Termination reason: Instruction limit
% 0.90/0.54 % (813718)Termination phase: shuffling
% 0.90/0.54 % (813718)Time elapsed: 0.015 s
% 0.90/0.54 % (813705)Instruction limit reached!
% 0.90/0.54 % (813705)------------------------------
% 0.90/0.54 % (813705)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.54 % (813718)Peak memory usage: 10 MB
% 0.90/0.54 % (813718)Instructions burned: 14 (million)
% 0.90/0.54 % (813705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.54 % (813705)CaDiCaL version: 2.1.3
% 0.90/0.54 % (813705)Termination reason: Instruction limit
% 0.90/0.54 % (813705)Termination phase: Property scanning
% 0.90/0.54 % (813705)Time elapsed: 0.063 s
% 0.90/0.54 % (813705)Peak memory usage: 12 MB
% 0.90/0.54 % (813705)Instructions burned: 75 (million)
% 0.90/0.54 % (813726)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.90/0.54 % (813726)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=2028588630:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.90/0.54 % (813724)lrs+10_1_si=on:cs=on:random_seed=3581615700:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.90/0.54 % (813726)Instruction limit reached!
% 0.90/0.54 % (813726)------------------------------
% 0.90/0.54 % (813726)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.54 % (813726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.54 % (813726)CaDiCaL version: 2.1.3
% 0.90/0.54 % (813726)Termination reason: Instruction limit
% 0.90/0.54 % (813726)Termination phase: shuffling
% 0.90/0.54 % (813726)Time elapsed: 0.006 s
% 0.90/0.54 % (813726)Peak memory usage: 10 MB
% 0.90/0.54 % (813726)Instructions burned: 2 (million)
% 0.90/0.54 % (813706)Instruction limit reached!
% 0.90/0.54 % (813706)------------------------------
% 0.90/0.54 % (813706)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.54 % (813706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.54 % (813706)CaDiCaL version: 2.1.3
% 0.90/0.54 % (813706)Termination reason: Instruction limit
% 0.90/0.54 % (813706)Termination phase: Saturation
% 0.90/0.54 % (813706)Time elapsed: 0.096 s
% 0.90/0.54 % (813706)Peak memory usage: 14 MB
% 0.90/0.54 % (813706)Instructions burned: 157 (million)
% 0.90/0.54 % (813723)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=1583377948:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 0.90/0.54 % (813727)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2698684147:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.90/0.54 % (813724)Instruction limit reached!
% 0.90/0.54 % (813724)------------------------------
% 0.90/0.54 % (813724)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.54 % (813724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.54 % (813724)CaDiCaL version: 2.1.3
% 0.90/0.54 % (813724)Termination reason: Instruction limit
% 0.90/0.54 % (813724)Termination phase: shuffling
% 0.90/0.54 % (813724)Time elapsed: 0.022 s
% 0.90/0.54 % (813724)Peak memory usage: 10 MB
% 0.90/0.54 % (813724)Instructions burned: 10 (million)
% 0.90/0.54 % (813731)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3863025287:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.90/0.54 % (813728)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=4103276952:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.90/0.54 % (813727)Instruction limit reached!
% 0.90/0.54 % (813727)------------------------------
% 0.90/0.54 % (813727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.54 % (813727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.54 % (813727)CaDiCaL version: 2.1.3
% 0.90/0.54 % (813727)Termination reason: Instruction limit
% 0.90/0.54 % (813727)Termination phase: SInE selection
% 0.90/0.54 % (813727)Time elapsed: 0.018 s
% 0.90/0.54 % (813727)Peak memory usage: 11 MB
% 0.90/0.54 % (813727)Instructions burned: 39 (million)
% 0.90/0.54 % (813732)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3783699924:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.90/0.54 % (813703) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-813695-813703"...
% 0.90/0.54 % (813731)Instruction limit reached!
% 0.90/0.54 % (813731)------------------------------
% 0.90/0.54 % (813731)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.54 % (813731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.54 % (813731)CaDiCaL version: 2.1.3
% 0.90/0.54 % (813731)Termination reason: Instruction limit
% 0.90/0.54 % (813731)Termination phase: Property scanning
% 0.90/0.54 % (813731)Time elapsed: 0.018 s
% 0.90/0.54 % (813731)Peak memory usage: 10 MB
% 0.90/0.55 % (813731)Instructions burned: 26 (million)
% 0.90/0.55 % (813732)Instruction limit reached!
% 0.90/0.55 % (813732)------------------------------
% 0.90/0.55 % (813732)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.55 % (813732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.55 % (813732)CaDiCaL version: 2.1.3
% 0.90/0.55 % (813732)Termination reason: Instruction limit
% 0.90/0.55 % (813732)Termination phase: shuffling
% 0.90/0.55 % (813732)Time elapsed: 0.013 s
% 0.90/0.55 % (813732)Peak memory usage: 10 MB
% 0.90/0.55 % (813732)Instructions burned: 14 (million)
% 0.90/0.55 % (813703)...printing done.
% 0.90/0.55 % (813703)Refutation found. Thanks to Tanya!
% 0.90/0.55 % SZS status Theorem for theBenchmark
% 0.90/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.90/0.55 % (813703)------------------------------
% 0.90/0.55 % (813703)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.55 % (813703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.55 % (813703)CaDiCaL version: 2.1.3
% 0.90/0.55 % (813703)Termination reason: Refutation
% 0.90/0.55 % (813703)Time elapsed: 0.134 s
% 0.90/0.55 % (813703)Peak memory usage: 15 MB
% 0.90/0.55 % (813703)Instructions burned: 155 (million)
% 0.90/0.55 % (813695)Success in time 0.219 s
% 0.90/0.55 % Vampire exiting
%------------------------------------------------------------------------------