%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP117^1 : 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 : n010.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 08:08:25 AM UTC 2026
% Result : Theorem 0.30s 0.39s
% Output : Refutation 0.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 14 unt; 0 typ; 1 def)
% Number of atoms : 24 ( 12 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 133 ( 10 ~; 4 |; 0 &; 118 @)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 19 ( 18 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 268 ( 266 usr; 22 con; 0-4 aty)
% Number of variables : 20 ( 0 sgn 2 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sigma_1422848389real_n: $tType ).
thf(type_def_6,type,
set_Si1125517487real_n: $tType ).
thf(type_def_7,type,
set_se820660888real_n: $tType ).
thf(type_def_8,type,
sigma_1466784463real_n: $tType ).
thf(type_def_9,type,
set_se2111327970real_n: $tType ).
thf(type_def_10,type,
set_se944069346_int_n: $tType ).
thf(type_def_11,type,
set_Fi1058188332real_n: $tType ).
thf(type_def_12,type,
set_Fi160064172_int_n: $tType ).
thf(type_def_13,type,
finite1489363574real_n: $tType ).
thf(type_def_14,type,
finite964658038_int_n: $tType ).
thf(type_def_15,type,
set_Ex113815278nnreal: $tType ).
thf(type_def_16,type,
set_set_nat: $tType ).
thf(type_def_17,type,
extend1728876344nnreal: $tType ).
thf(type_def_18,type,
sigma_measure_o: $tType ).
thf(type_def_19,type,
set_set_o: $tType ).
thf(type_def_20,type,
set_nat: $tType ).
thf(type_def_21,type,
set_o: $tType ).
thf(type_def_22,type,
nat: $tType ).
thf(type_def_23,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
complete_Sup_Sup_o: set_o > $o ).
thf(func_def_1,type,
comple1413366923nnreal: set_Ex113815278nnreal > extend1728876344nnreal ).
thf(func_def_2,type,
comple2042271945real_n: set_Fi1058188332real_n > finite1489363574real_n ).
thf(func_def_3,type,
comple1665300069_set_o: set_set_o > set_o ).
thf(func_def_4,type,
comple970917503_int_n: set_se944069346_int_n > set_Fi160064172_int_n ).
thf(func_def_5,type,
comple825005695real_n: set_se2111327970real_n > set_Fi1058188332real_n ).
thf(func_def_6,type,
comple1682161881et_nat: set_set_nat > set_nat ).
thf(func_def_7,type,
comple1917283637real_n: set_se820660888real_n > set_se2111327970real_n ).
thf(func_def_8,type,
comple488165692real_n: set_Si1125517487real_n > sigma_1466784463real_n ).
thf(func_def_9,type,
comple230862828real_n: sigma_1466784463real_n > sigma_1466784463real_n ).
thf(func_def_10,type,
counta1142393929_int_n: set_Fi160064172_int_n > nat > finite964658038_int_n ).
thf(func_def_11,type,
minus_1196255695_int_n: finite964658038_int_n > finite964658038_int_n > finite964658038_int_n ).
thf(func_def_12,type,
minus_1037315151real_n: finite1489363574real_n > finite1489363574real_n > finite1489363574real_n ).
thf(func_def_13,type,
minus_1686442501real_n: set_Fi1058188332real_n > set_Fi1058188332real_n > set_Fi1058188332real_n ).
thf(func_def_14,type,
one_on705384445nnreal: extend1728876344nnreal ).
thf(func_def_15,type,
one_on1253059131real_n: finite1489363574real_n ).
thf(func_def_16,type,
plus_p1763960001nnreal: extend1728876344nnreal > extend1728876344nnreal > extend1728876344nnreal ).
thf(func_def_17,type,
plus_p1654784127_int_n: finite964658038_int_n > finite964658038_int_n > finite964658038_int_n ).
thf(func_def_18,type,
plus_p585657087real_n: finite1489363574real_n > finite1489363574real_n > finite1489363574real_n ).
thf(func_def_19,type,
zero_z1963244097nnreal: extend1728876344nnreal ).
thf(func_def_20,type,
zero_z200130687real_n: finite1489363574real_n ).
thf(func_def_21,type,
inf_inf_set_o: set_o > set_o > set_o ).
thf(func_def_22,type,
inf_in1108485182_int_n: set_Fi160064172_int_n > set_Fi160064172_int_n > set_Fi160064172_int_n ).
thf(func_def_23,type,
inf_in1974387902real_n: set_Fi1058188332real_n > set_Fi1058188332real_n > set_Fi1058188332real_n ).
thf(func_def_24,type,
inf_inf_set_nat: set_nat > set_nat > set_nat ).
thf(func_def_25,type,
inf_in632889204real_n: set_se2111327970real_n > set_se2111327970real_n > set_se2111327970real_n ).
thf(func_def_26,type,
lebesg260170249real_n: sigma_1466784463real_n ).
thf(func_def_27,type,
measure_null_sets_o: sigma_measure_o > set_set_o ).
thf(func_def_28,type,
measur1402256771real_n: sigma_1466784463real_n > set_se2111327970real_n ).
thf(func_def_29,type,
measur2126959417real_n: sigma_1422848389real_n > set_se820660888real_n ).
thf(func_def_30,type,
minkow1134813771n_real: finite964658038_int_n > finite1489363574real_n ).
thf(func_def_31,type,
ord_le2133614988nnreal: extend1728876344nnreal > extend1728876344nnreal > $o ).
thf(func_def_32,type,
top_to287930409nt_n_o: finite964658038_int_n > $o ).
thf(func_def_33,type,
top_top_nat_o: nat > $o ).
thf(func_def_34,type,
top_top_o: $o ).
thf(func_def_35,type,
top_to1845833192nnreal: extend1728876344nnreal ).
thf(func_def_36,type,
top_top_set_o: set_o ).
thf(func_def_37,type,
top_to131672412_int_n: set_Fi160064172_int_n ).
thf(func_def_38,type,
top_to1292442332real_n: set_Fi1058188332real_n ).
thf(func_def_39,type,
top_top_set_nat: set_nat ).
thf(func_def_40,type,
top_to1587634578_int_n: set_se944069346_int_n ).
thf(func_def_41,type,
top_to20708754real_n: set_se2111327970real_n ).
thf(func_def_42,type,
top_top_set_set_nat: set_set_nat ).
thf(func_def_43,type,
sums_E1192373732nnreal: ( nat > extend1728876344nnreal ) > extend1728876344nnreal > $o ).
thf(func_def_44,type,
collect_o: ( $o > $o ) > set_o ).
thf(func_def_45,type,
collec1941932235_int_n: ( finite964658038_int_n > $o ) > set_Fi160064172_int_n ).
thf(func_def_46,type,
collec321817931real_n: ( finite1489363574real_n > $o ) > set_Fi1058188332real_n ).
thf(func_def_47,type,
collect_nat: ( nat > $o ) > set_nat ).
thf(func_def_48,type,
collec452821761real_n: ( set_Fi1058188332real_n > $o ) > set_se2111327970real_n ).
thf(func_def_49,type,
image_o_o: ( $o > $o ) > set_o > set_o ).
thf(func_def_50,type,
image_o_set_o: ( $o > set_o ) > set_o > set_set_o ).
thf(func_def_51,type,
image_1759008383real_n: ( $o > set_Fi1058188332real_n ) > set_o > set_se2111327970real_n ).
thf(func_def_52,type,
image_452144437real_n: ( $o > set_se2111327970real_n ) > set_o > set_se820660888real_n ).
thf(func_def_53,type,
image_1599934780real_n: ( $o > sigma_1466784463real_n ) > set_o > set_Si1125517487real_n ).
thf(func_def_54,type,
image_2066995319nnreal: ( extend1728876344nnreal > extend1728876344nnreal ) > set_Ex113815278nnreal > set_Ex113815278nnreal ).
thf(func_def_55,type,
image_216309723nt_n_o: ( finite964658038_int_n > $o ) > set_Fi160064172_int_n > set_o ).
thf(func_def_56,type,
image_1278151539_int_n: ( finite964658038_int_n > finite964658038_int_n ) > set_Fi160064172_int_n > set_Fi160064172_int_n ).
thf(func_def_57,type,
image_2058828787real_n: ( finite964658038_int_n > finite1489363574real_n ) > set_Fi160064172_int_n > set_Fi1058188332real_n ).
thf(func_def_58,type,
image_497739341_n_nat: ( finite964658038_int_n > nat ) > set_Fi160064172_int_n > set_nat ).
thf(func_def_59,type,
image_1819506345_int_n: ( finite964658038_int_n > set_Fi160064172_int_n ) > set_Fi160064172_int_n > set_se944069346_int_n ).
thf(func_def_60,type,
image_355963305real_n: ( finite964658038_int_n > set_Fi1058188332real_n ) > set_Fi160064172_int_n > set_se2111327970real_n ).
thf(func_def_61,type,
image_1085873667et_nat: ( finite964658038_int_n > set_nat ) > set_Fi160064172_int_n > set_set_nat ).
thf(func_def_62,type,
image_439535603real_n: ( finite1489363574real_n > finite1489363574real_n ) > set_Fi1058188332real_n > set_Fi1058188332real_n ).
thf(func_def_63,type,
image_545463721real_n: ( finite1489363574real_n > set_Fi1058188332real_n ) > set_Fi1058188332real_n > set_se2111327970real_n ).
thf(func_def_64,type,
image_nat_o: ( nat > $o ) > set_nat > set_o ).
thf(func_def_65,type,
image_1961920973_int_n: ( nat > finite964658038_int_n ) > set_nat > set_Fi160064172_int_n ).
thf(func_def_66,type,
image_183184717real_n: ( nat > finite1489363574real_n ) > set_nat > set_Fi1058188332real_n ).
thf(func_def_67,type,
image_nat_nat: ( nat > nat ) > set_nat > set_nat ).
thf(func_def_68,type,
image_968789251_int_n: ( nat > set_Fi160064172_int_n ) > set_nat > set_se944069346_int_n ).
thf(func_def_69,type,
image_1856576259real_n: ( nat > set_Fi1058188332real_n ) > set_nat > set_se2111327970real_n ).
thf(func_def_70,type,
image_nat_set_nat: ( nat > set_nat ) > set_nat > set_set_nat ).
thf(func_def_71,type,
image_set_o_o: ( set_o > $o ) > set_set_o > set_o ).
thf(func_def_72,type,
image_792439519real_n: ( set_Fi160064172_int_n > set_Fi1058188332real_n ) > set_se944069346_int_n > set_se2111327970real_n ).
thf(func_def_73,type,
image_1054146965real_n: ( set_Fi160064172_int_n > set_se2111327970real_n ) > set_se944069346_int_n > set_se820660888real_n ).
thf(func_def_74,type,
image_1648361637al_n_o: ( set_Fi1058188332real_n > $o ) > set_se2111327970real_n > set_o ).
thf(func_def_75,type,
image_1687589765_set_o: ( set_Fi1058188332real_n > set_o ) > set_se2111327970real_n > set_set_o ).
thf(func_def_76,type,
image_1661509983real_n: ( set_Fi1058188332real_n > set_Fi1058188332real_n ) > set_se2111327970real_n > set_se2111327970real_n ).
thf(func_def_77,type,
image_797440021real_n: ( set_Fi1058188332real_n > set_se2111327970real_n ) > set_se2111327970real_n > set_se820660888real_n ).
thf(func_def_78,type,
image_987430492real_n: ( set_Fi1058188332real_n > sigma_1466784463real_n ) > set_se2111327970real_n > set_Si1125517487real_n ).
thf(func_def_79,type,
image_933134521real_n: ( set_nat > set_Fi1058188332real_n ) > set_set_nat > set_se2111327970real_n ).
thf(func_def_80,type,
image_1587769199real_n: ( set_nat > set_se2111327970real_n ) > set_set_nat > set_se820660888real_n ).
thf(func_def_81,type,
image_1681970287al_n_o: ( set_se2111327970real_n > $o ) > set_se820660888real_n > set_o ).
thf(func_def_82,type,
image_1298280374real_n: ( sigma_1466784463real_n > set_Fi1058188332real_n ) > set_Si1125517487real_n > set_se2111327970real_n ).
thf(func_def_83,type,
vimage_o_o: ( $o > $o ) > set_o > set_o ).
thf(func_def_84,type,
vimage961837641real_n: ( $o > set_Fi1058188332real_n ) > set_se2111327970real_n > set_o ).
thf(func_def_85,type,
vimage1122713129_int_n: ( finite964658038_int_n > finite964658038_int_n ) > set_Fi160064172_int_n > set_Fi160064172_int_n ).
thf(func_def_86,type,
vimage1276736425real_n: ( finite964658038_int_n > finite1489363574real_n ) > set_Fi1058188332real_n > set_Fi160064172_int_n ).
thf(func_def_87,type,
vimage1398021123_n_nat: ( finite964658038_int_n > nat ) > set_nat > set_Fi160064172_int_n ).
thf(func_def_88,type,
vimage464515423real_n: ( finite964658038_int_n > set_Fi1058188332real_n ) > set_se2111327970real_n > set_Fi160064172_int_n ).
thf(func_def_89,type,
vimage1233683625real_n: ( finite1489363574real_n > finite1489363574real_n ) > set_Fi1058188332real_n > set_Fi1058188332real_n ).
thf(func_def_90,type,
vimage714719107_int_n: ( nat > finite964658038_int_n ) > set_Fi160064172_int_n > set_nat ).
thf(func_def_91,type,
vimage1860757507real_n: ( nat > finite1489363574real_n ) > set_Fi1058188332real_n > set_nat ).
thf(func_def_92,type,
vimage_nat_nat: ( nat > nat ) > set_nat > set_nat ).
thf(func_def_93,type,
vimage3210681real_n: ( nat > set_Fi1058188332real_n ) > set_se2111327970real_n > set_nat ).
thf(func_def_94,type,
vimage851190895al_n_o: ( set_Fi1058188332real_n > $o ) > set_o > set_se2111327970real_n ).
thf(func_def_95,type,
vimage784510485real_n: ( set_Fi1058188332real_n > set_Fi1058188332real_n ) > set_se2111327970real_n > set_se2111327970real_n ).
thf(func_def_96,type,
sigma_1536574303real_n: sigma_1466784463real_n > set_Fi1058188332real_n > extend1728876344nnreal ).
thf(func_def_97,type,
sigma_1235138647real_n: sigma_1466784463real_n > set_se2111327970real_n ).
thf(func_def_98,type,
sigma_space_o: sigma_measure_o > set_o ).
thf(func_def_99,type,
sigma_476185326real_n: sigma_1466784463real_n > set_Fi1058188332real_n ).
thf(func_def_100,type,
sigma_607186084real_n: sigma_1422848389real_n > set_se2111327970real_n ).
thf(func_def_101,type,
member_o: $o > set_o > $o ).
thf(func_def_102,type,
member1217042383nnreal: extend1728876344nnreal > set_Ex113815278nnreal > $o ).
thf(func_def_103,type,
member27055245_int_n: finite964658038_int_n > set_Fi160064172_int_n > $o ).
thf(func_def_104,type,
member1352538125real_n: finite1489363574real_n > set_Fi1058188332real_n > $o ).
thf(func_def_105,type,
member_nat: nat > set_nat > $o ).
thf(func_def_106,type,
member_set_o: set_o > set_set_o > $o ).
thf(func_def_107,type,
member223413699real_n: set_Fi1058188332real_n > set_se2111327970real_n > $o ).
thf(func_def_108,type,
member1475136633real_n: set_se2111327970real_n > set_se820660888real_n > $o ).
thf(func_def_109,type,
member1000184real_n: sigma_1466784463real_n > set_Si1125517487real_n > $o ).
thf(func_def_110,type,
r: finite964658038_int_n > set_Fi1058188332real_n ).
thf(func_def_111,type,
s: set_Fi1058188332real_n ).
thf(func_def_112,type,
t: finite964658038_int_n > set_Fi1058188332real_n ).
thf(func_def_113,type,
t2: finite964658038_int_n > set_Fi1058188332real_n ).
thf(func_def_114,type,
f: nat > finite964658038_int_n ).
thf(func_def_116,type,
vAND: $o > $o > $o ).
thf(func_def_117,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_118,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_121,type,
vOR: $o > $o > $o ).
thf(func_def_122,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_123,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_124,type,
sK0: ( set_Fi1058188332real_n > finite964658038_int_n ) > ( finite964658038_int_n > set_Fi1058188332real_n ) > set_Fi1058188332real_n ).
thf(func_def_125,type,
sK1: $o ).
thf(func_def_126,type,
sK2: finite1489363574real_n > set_Fi1058188332real_n > ( finite1489363574real_n > finite1489363574real_n ) > finite1489363574real_n ).
thf(func_def_127,type,
sK3: nat > ( nat > nat ) > nat ).
thf(func_def_128,type,
sK4: ( nat > nat ) > nat ).
thf(func_def_129,type,
sK5: set_nat > finite1489363574real_n > ( nat > set_Fi1058188332real_n ) > nat ).
thf(func_def_130,type,
sK6: $o > ( finite964658038_int_n > $o ) > finite964658038_int_n ).
thf(func_def_131,type,
sK7: ( set_Fi1058188332real_n > sigma_1466784463real_n ) > set_se2111327970real_n > ( set_Fi1058188332real_n > sigma_1466784463real_n ) > set_Fi1058188332real_n ).
thf(func_def_132,type,
sK8: ( $o > $o ) > ( $o > $o ) > set_o > $o ).
thf(func_def_133,type,
sK9: set_Fi1058188332real_n > set_se820660888real_n > set_se2111327970real_n ).
thf(func_def_134,type,
sK10: ( nat > set_Fi1058188332real_n ) > set_nat > ( set_Fi1058188332real_n > $o ) > nat ).
thf(func_def_135,type,
sK11: ( finite1489363574real_n > $o ) > set_Fi160064172_int_n > ( finite964658038_int_n > set_Fi1058188332real_n ) > finite964658038_int_n ).
thf(func_def_136,type,
sK12: ( finite1489363574real_n > $o ) > set_Fi160064172_int_n > ( finite964658038_int_n > set_Fi1058188332real_n ) > finite1489363574real_n ).
thf(func_def_137,type,
sK13: ( finite1489363574real_n > $o ) > set_Fi160064172_int_n > ( finite964658038_int_n > set_Fi1058188332real_n ) > finite1489363574real_n ).
thf(func_def_138,type,
sK14: set_o > ( $o > set_se2111327970real_n ) > set_Fi1058188332real_n > $o ).
thf(func_def_139,type,
sK15: ( finite1489363574real_n > $o ) > ( finite1489363574real_n > $o ) > ( finite1489363574real_n > finite1489363574real_n ) > finite1489363574real_n ).
thf(func_def_140,type,
sK16: ( $o > set_Fi1058188332real_n ) > ( $o > set_Fi1058188332real_n ) > set_o > $o ).
thf(func_def_141,type,
sK17: set_Fi1058188332real_n > ( nat > set_Fi1058188332real_n ) > nat ).
thf(func_def_142,type,
sK18: $o > ( nat > $o ) > nat ).
thf(func_def_143,type,
sK19: set_Fi1058188332real_n > set_Si1125517487real_n > sigma_1466784463real_n ).
thf(func_def_144,type,
sK20: set_Fi160064172_int_n > ( finite964658038_int_n > set_Fi1058188332real_n ) > ( finite964658038_int_n > set_Fi1058188332real_n ) > finite964658038_int_n ).
thf(func_def_145,type,
sK21: finite964658038_int_n > ( finite964658038_int_n > finite964658038_int_n ) > finite964658038_int_n ).
thf(func_def_146,type,
sK22: ( finite964658038_int_n > finite964658038_int_n ) > finite964658038_int_n ).
thf(func_def_147,type,
sK23: ( $o > set_o ) > $o > set_o > $o ).
thf(func_def_148,type,
sK24: ( set_Fi1058188332real_n > nat ) > ( nat > set_Fi1058188332real_n ) > set_Fi1058188332real_n ).
thf(func_def_149,type,
sK25: ( finite1489363574real_n > finite1489363574real_n ) > set_Fi1058188332real_n > ( finite1489363574real_n > $o ) > finite1489363574real_n ).
thf(func_def_150,type,
sK26: ( finite964658038_int_n > set_Fi1058188332real_n ) > ( set_Fi1058188332real_n > $o ) > set_Fi160064172_int_n > finite964658038_int_n ).
thf(func_def_151,type,
sK27: set_set_o > $o > set_o ).
thf(func_def_152,type,
sK28: ( nat > set_Fi1058188332real_n ) > set_Fi1058188332real_n > nat ).
thf(func_def_153,type,
sK29: ( $o > sigma_1466784463real_n ) > set_o > ( $o > sigma_1466784463real_n ) > $o ).
thf(func_def_154,type,
sK30: ( nat > nat ) > ( nat > nat ) > nat ).
thf(func_def_155,type,
sK31: ( nat > set_Fi1058188332real_n ) > ( finite1489363574real_n > $o ) > set_nat > finite1489363574real_n ).
thf(func_def_156,type,
sK32: ( nat > set_Fi1058188332real_n ) > ( finite1489363574real_n > $o ) > set_nat > nat ).
thf(func_def_157,type,
sK33: ( nat > set_Fi1058188332real_n ) > ( finite1489363574real_n > $o ) > set_nat > finite1489363574real_n ).
thf(func_def_158,type,
sK34: ( finite964658038_int_n > finite964658038_int_n ) > finite964658038_int_n > finite964658038_int_n ).
thf(func_def_159,type,
sK35: set_se2111327970real_n > ( finite1489363574real_n > $o ) > set_Fi1058188332real_n ).
thf(func_def_160,type,
sK36: set_se2111327970real_n > ( finite1489363574real_n > $o ) > finite1489363574real_n ).
thf(func_def_161,type,
sK37: set_se2111327970real_n > ( finite1489363574real_n > $o ) > finite1489363574real_n ).
thf(func_def_162,type,
sK38: finite964658038_int_n ).
thf(func_def_163,type,
sK39: set_Fi160064172_int_n > ( finite964658038_int_n > set_Fi1058188332real_n ) > ( set_Fi1058188332real_n > $o ) > set_Fi1058188332real_n ).
thf(func_def_164,type,
sK40: set_se820660888real_n > set_Fi1058188332real_n > set_se2111327970real_n ).
thf(func_def_165,type,
sK41: set_Fi1058188332real_n > ( finite964658038_int_n > set_Fi1058188332real_n ) > finite964658038_int_n ).
thf(func_def_166,type,
sK42: ( set_Fi1058188332real_n > $o ) > ( set_Fi1058188332real_n > $o ) > set_se2111327970real_n > set_Fi1058188332real_n ).
thf(func_def_167,type,
sK43: set_Fi1058188332real_n > ( finite964658038_int_n > set_Fi1058188332real_n ) > finite964658038_int_n ).
thf(func_def_168,type,
sK44: ( finite1489363574real_n > finite1489363574real_n ) > finite1489363574real_n > finite1489363574real_n ).
thf(func_def_169,type,
sK45: ( $o > set_Fi1058188332real_n ) > set_Fi1058188332real_n > set_o > $o ).
thf(func_def_170,type,
sK46: ( finite964658038_int_n > finite964658038_int_n ) > ( finite964658038_int_n > finite964658038_int_n ) > finite964658038_int_n ).
thf(func_def_171,type,
sK47: finite964658038_int_n > ( finite964658038_int_n > finite964658038_int_n ) > finite964658038_int_n ).
thf(func_def_172,type,
sK48: set_o > ( $o > set_Fi1058188332real_n ) > finite1489363574real_n > $o ).
thf(func_def_173,type,
sK49: ( finite1489363574real_n > finite1489363574real_n ) > finite1489363574real_n ).
thf(func_def_174,type,
sK50: finite1489363574real_n > ( finite1489363574real_n > finite1489363574real_n ) > finite1489363574real_n ).
thf(func_def_175,type,
sK51: ( finite964658038_int_n > set_Fi1058188332real_n ) > ( finite964658038_int_n > set_Fi1058188332real_n ) > set_Fi160064172_int_n > finite964658038_int_n ).
thf(func_def_176,type,
sK52: set_Fi160064172_int_n > ( finite964658038_int_n > set_Fi1058188332real_n ) > ( finite1489363574real_n > $o ) > finite964658038_int_n ).
thf(func_def_177,type,
sK53: set_Fi160064172_int_n > ( finite964658038_int_n > set_Fi1058188332real_n ) > ( finite1489363574real_n > $o ) > finite1489363574real_n ).
thf(func_def_178,type,
sK54: set_Fi160064172_int_n > ( finite964658038_int_n > set_Fi1058188332real_n ) > ( finite1489363574real_n > $o ) > finite1489363574real_n ).
thf(func_def_179,type,
sK55: set_nat > nat ).
thf(func_def_180,type,
sK56: ( nat > nat ) > nat > nat ).
thf(func_def_181,type,
sK57: set_se2111327970real_n > $o > ( set_Fi1058188332real_n > $o ) > set_Fi1058188332real_n ).
thf(func_def_182,type,
sK58: finite1489363574real_n > set_Fi160064172_int_n > ( finite964658038_int_n > set_Fi1058188332real_n ) > finite964658038_int_n ).
thf(func_def_183,type,
sK59: extend1728876344nnreal > set_Ex113815278nnreal > extend1728876344nnreal ).
thf(func_def_184,type,
sK60: ( finite964658038_int_n > set_Fi1058188332real_n ) > set_Fi1058188332real_n ).
thf(func_def_185,type,
sK61: set_Fi1058188332real_n > ( finite964658038_int_n > set_Fi1058188332real_n ) > finite964658038_int_n ).
thf(func_def_186,type,
sK62: ( nat > set_Fi1058188332real_n ) > ( finite1489363574real_n > $o ) > set_nat > nat ).
thf(func_def_187,type,
sK63: ( nat > set_Fi1058188332real_n ) > ( finite1489363574real_n > $o ) > set_nat > finite1489363574real_n ).
thf(func_def_188,type,
sK64: ( nat > set_Fi1058188332real_n ) > ( finite1489363574real_n > $o ) > set_nat > finite1489363574real_n ).
thf(func_def_189,type,
sK65: ( nat > set_Fi1058188332real_n ) > ( nat > set_Fi1058188332real_n ) > set_nat > nat ).
thf(func_def_190,type,
sK66: ( set_Fi1058188332real_n > $o ) > ( nat > set_Fi1058188332real_n ) > set_nat > set_Fi1058188332real_n ).
thf(func_def_191,type,
sK67: set_Fi160064172_int_n > ( finite964658038_int_n > set_Fi1058188332real_n ) > ( finite964658038_int_n > set_Fi1058188332real_n ) > finite964658038_int_n ).
thf(func_def_192,type,
sK68: finite1489363574real_n > set_se2111327970real_n > ( set_Fi1058188332real_n > set_Fi1058188332real_n ) > set_Fi1058188332real_n ).
thf(func_def_193,type,
sK69: ( nat > set_Fi1058188332real_n ) > set_nat > finite1489363574real_n > nat ).
thf(func_def_194,type,
sK70: ( set_Fi1058188332real_n > set_Fi1058188332real_n ) > ( set_Fi1058188332real_n > set_Fi1058188332real_n ) > set_se2111327970real_n > set_Fi1058188332real_n ).
thf(func_def_195,type,
sK71: ( finite1489363574real_n > finite1489363574real_n ) > ( finite1489363574real_n > finite1489363574real_n ) > finite1489363574real_n ).
thf(func_def_196,type,
sK72: set_Fi1058188332real_n ).
thf(func_def_197,type,
sK73: ( finite964658038_int_n > set_Fi1058188332real_n ) > sigma_1466784463real_n > finite964658038_int_n ).
thf(func_def_198,type,
sK74: set_Fi1058188332real_n > ( finite1489363574real_n > finite1489363574real_n ) > ( finite1489363574real_n > finite1489363574real_n ) > finite1489363574real_n ).
thf(func_def_199,type,
sK75: set_Fi1058188332real_n > ( nat > set_Fi1058188332real_n ) > set_nat > nat ).
thf(func_def_200,type,
sK76: ( finite964658038_int_n > set_Fi1058188332real_n ) > set_Fi160064172_int_n > set_Fi1058188332real_n > finite964658038_int_n ).
thf(func_def_201,type,
sK77: set_se2111327970real_n > ( set_Fi1058188332real_n > set_Fi1058188332real_n ) > set_Fi1058188332real_n > set_Fi1058188332real_n ).
thf(func_def_202,type,
sK78: ( finite964658038_int_n > set_Fi1058188332real_n ) > set_Fi1058188332real_n > finite964658038_int_n ).
thf(func_def_203,type,
sK79: ( nat > set_Fi1058188332real_n ) > ( finite1489363574real_n > $o ) > set_nat > nat ).
thf(func_def_204,type,
sK80: ( nat > set_Fi1058188332real_n ) > ( finite1489363574real_n > $o ) > set_nat > finite1489363574real_n ).
thf(func_def_205,type,
sK81: ( nat > set_Fi1058188332real_n ) > ( finite1489363574real_n > $o ) > set_nat > finite1489363574real_n ).
thf(func_def_206,type,
sK82: ( nat > finite964658038_int_n ) > ( finite964658038_int_n > nat ) > finite964658038_int_n ).
thf(func_def_207,type,
sK83: ( finite1489363574real_n > finite1489363574real_n ) > finite1489363574real_n > finite1489363574real_n ).
thf(func_def_208,type,
sK84: set_se2111327970real_n > ( set_Fi1058188332real_n > set_o ) > $o > set_Fi1058188332real_n ).
thf(func_def_209,type,
sK85: ( nat > set_Fi1058188332real_n ) > set_nat > ( finite1489363574real_n > $o ) > finite1489363574real_n ).
thf(func_def_210,type,
sK86: ( nat > set_Fi1058188332real_n ) > set_nat > ( finite1489363574real_n > $o ) > nat ).
thf(func_def_211,type,
sK87: ( nat > set_Fi1058188332real_n ) > set_nat > ( finite1489363574real_n > $o ) > finite1489363574real_n ).
thf(func_def_212,type,
sK88: ( nat > set_Fi1058188332real_n ) > set_Fi1058188332real_n ).
thf(func_def_213,type,
sK89: set_Fi1058188332real_n > ( nat > set_Fi1058188332real_n ) > nat ).
thf(func_def_214,type,
sK90: sigma_1466784463real_n > ( nat > set_Fi1058188332real_n ) > nat ).
thf(func_def_215,type,
sK91: sigma_1466784463real_n > ( nat > set_Fi1058188332real_n ) > nat ).
thf(func_def_216,type,
sK92: sigma_1466784463real_n > ( nat > set_Fi1058188332real_n ) > nat ).
thf(func_def_217,type,
sK93: finite964658038_int_n > ( nat > finite964658038_int_n ) > nat ).
thf(func_def_218,type,
sK94: ( finite1489363574real_n > finite1489363574real_n ) > finite1489363574real_n > finite1489363574real_n ).
thf(func_def_219,type,
sK95: nat ).
thf(func_def_220,type,
sK96: ( nat > set_Fi1058188332real_n ) > set_nat > set_Fi1058188332real_n > nat ).
thf(func_def_221,type,
sK97: ( finite964658038_int_n > nat ) > nat > finite964658038_int_n ).
thf(func_def_222,type,
sK98: set_se2111327970real_n > finite1489363574real_n > set_Fi1058188332real_n ).
thf(func_def_223,type,
sK99: ( nat > set_Fi1058188332real_n ) > ( nat > set_Fi1058188332real_n ) > set_nat > nat ).
thf(func_def_224,type,
sK100: $o > set_set_o > set_o ).
thf(func_def_225,type,
sK101: ( finite1489363574real_n > finite1489363574real_n ) > ( finite1489363574real_n > finite1489363574real_n ) > set_Fi1058188332real_n > finite1489363574real_n ).
thf(func_def_226,type,
sK102: ( $o > $o ) > set_o > $o > $o ).
thf(func_def_227,type,
sK103: nat > ( finite964658038_int_n > nat ) > finite964658038_int_n ).
thf(func_def_228,type,
sK104: set_Fi1058188332real_n > ( $o > sigma_1466784463real_n ) > set_o > $o ).
thf(func_def_229,type,
sK105: set_Fi160064172_int_n > ( finite964658038_int_n > set_Fi1058188332real_n ) > ( finite1489363574real_n > $o ) > finite1489363574real_n ).
thf(func_def_230,type,
sK106: set_Fi160064172_int_n > ( finite964658038_int_n > set_Fi1058188332real_n ) > ( finite1489363574real_n > $o ) > finite964658038_int_n ).
thf(func_def_231,type,
sK107: set_Fi160064172_int_n > ( finite964658038_int_n > set_Fi1058188332real_n ) > ( finite1489363574real_n > $o ) > finite1489363574real_n ).
thf(func_def_232,type,
sK108: nat > ( finite964658038_int_n > nat ) > finite964658038_int_n ).
thf(func_def_233,type,
sK109: ( finite964658038_int_n > nat ) > nat ).
thf(func_def_234,type,
sK110: ( set_Fi1058188332real_n > set_se2111327970real_n ) > set_se2111327970real_n > set_Fi1058188332real_n > set_Fi1058188332real_n ).
thf(func_def_235,type,
sK111: ( finite1489363574real_n > $o ) > set_Fi160064172_int_n > ( finite964658038_int_n > set_Fi1058188332real_n ) > finite964658038_int_n ).
thf(func_def_236,type,
sK112: ( finite1489363574real_n > $o ) > set_Fi160064172_int_n > ( finite964658038_int_n > set_Fi1058188332real_n ) > finite1489363574real_n ).
thf(func_def_237,type,
sK113: ( finite1489363574real_n > $o ) > set_Fi160064172_int_n > ( finite964658038_int_n > set_Fi1058188332real_n ) > finite1489363574real_n ).
thf(func_def_238,type,
sK114: ( finite1489363574real_n > finite1489363574real_n ) > set_Fi1058188332real_n > ( finite1489363574real_n > finite1489363574real_n ) > finite1489363574real_n ).
thf(func_def_239,type,
sK115: set_Fi160064172_int_n > finite1489363574real_n > ( finite964658038_int_n > set_Fi1058188332real_n ) > finite964658038_int_n ).
thf(func_def_240,type,
sK116: ( finite1489363574real_n > finite1489363574real_n ) > ( finite1489363574real_n > $o ) > set_Fi1058188332real_n > finite1489363574real_n ).
thf(func_def_241,type,
sK117: set_se2111327970real_n > set_Fi1058188332real_n ).
thf(func_def_242,type,
sK118: finite964658038_int_n > ( nat > finite964658038_int_n ) > nat ).
thf(func_def_243,type,
sK119: ( nat > finite964658038_int_n ) > finite964658038_int_n ).
thf(func_def_244,type,
sK120: ( finite1489363574real_n > $o ) > set_se2111327970real_n > set_Fi1058188332real_n ).
thf(func_def_245,type,
sK121: ( finite1489363574real_n > $o ) > set_se2111327970real_n > finite1489363574real_n ).
thf(func_def_246,type,
sK122: ( finite1489363574real_n > $o ) > set_se2111327970real_n > finite1489363574real_n ).
thf(func_def_247,type,
sK123: ( nat > set_Fi1058188332real_n ) > sigma_1466784463real_n > nat ).
thf(func_def_248,type,
sK124: ( finite1489363574real_n > finite1489363574real_n ) > set_Fi1058188332real_n > finite1489363574real_n > finite1489363574real_n ).
thf(func_def_249,type,
sK125: ( finite964658038_int_n > set_Fi1058188332real_n ) > ( finite964658038_int_n > set_Fi1058188332real_n ) > set_Fi160064172_int_n > finite964658038_int_n ).
thf(func_def_250,type,
sK126: ( nat > finite964658038_int_n ) > ( finite964658038_int_n > nat ) > nat ).
thf(func_def_251,type,
sK127: finite964658038_int_n > ( nat > finite964658038_int_n ) > nat ).
thf(func_def_252,type,
sK128: set_Ex113815278nnreal > extend1728876344nnreal ).
thf(func_def_253,type,
sK129: extend1728876344nnreal > set_Ex113815278nnreal > extend1728876344nnreal ).
thf(func_def_254,type,
sK130: set_Fi1058188332real_n > ( set_Fi1058188332real_n > sigma_1466784463real_n ) > set_se2111327970real_n > set_Fi1058188332real_n ).
thf(func_def_255,type,
sK131: ( finite1489363574real_n > finite1489363574real_n ) > ( finite1489363574real_n > finite1489363574real_n ) > set_Fi1058188332real_n > finite1489363574real_n ).
thf(func_def_256,type,
sK132: set_Fi160064172_int_n > finite964658038_int_n ).
thf(func_def_257,type,
sK133: ( nat > set_Fi1058188332real_n ) > set_nat > ( nat > set_Fi1058188332real_n ) > nat ).
thf(func_def_258,type,
sK134: set_Fi1058188332real_n > ( nat > set_Fi1058188332real_n ) > nat ).
thf(func_def_259,type,
sK135: ( finite1489363574real_n > finite1489363574real_n ) > ( finite1489363574real_n > finite1489363574real_n ) > set_Fi1058188332real_n > finite1489363574real_n ).
thf(func_def_260,type,
sK136: nat > ( nat > nat ) > nat ).
thf(func_def_261,type,
sK137: ( nat > set_Fi1058188332real_n ) > ( nat > set_Fi1058188332real_n ) > set_nat > nat ).
thf(func_def_262,type,
sK138: set_o > $o ).
thf(func_def_263,type,
sK139: set_Fi160064172_int_n > ( finite964658038_int_n > set_Fi1058188332real_n ) > set_Fi1058188332real_n > finite964658038_int_n ).
thf(func_def_264,type,
sK140: finite1489363574real_n > set_se2111327970real_n > set_Fi1058188332real_n ).
thf(func_def_265,type,
vNOT: $o > $o ).
thf(func_def_267,type,
sK142: nat ).
thf(f1,axiom,
! [X0: finite964658038_int_n] :
( ( sigma_1536574303real_n @ ( comple230862828real_n @ lebesg260170249real_n ) @ ( t @ X0 ) )
= ( sigma_1536574303real_n @ ( comple230862828real_n @ lebesg260170249real_n ) @ ( t2 @ X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_emeasure__T_H) ).
thf(f354,conjecture,
( ( ^ [X0: nat] : ( sigma_1536574303real_n @ ( comple230862828real_n @ lebesg260170249real_n ) @ ( t @ ( f @ X0 ) ) ) )
= ( ^ [X0: nat] : ( sigma_1536574303real_n @ ( comple230862828real_n @ lebesg260170249real_n ) @ ( t2 @ ( f @ X0 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(f355,negated_conjecture,
( ( ^ [X0: nat] : ( sigma_1536574303real_n @ ( comple230862828real_n @ lebesg260170249real_n ) @ ( t @ ( f @ X0 ) ) ) )
!= ( ^ [X0: nat] : ( sigma_1536574303real_n @ ( comple230862828real_n @ lebesg260170249real_n ) @ ( t2 @ ( f @ X0 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f354]) ).
thf(f554,plain,
( ( ^ [X0: nat] : ( sigma_1536574303real_n @ ( comple230862828real_n @ lebesg260170249real_n ) @ ( t @ ( f @ X0 ) ) ) )
!= ( ^ [X1: nat] : ( sigma_1536574303real_n @ ( comple230862828real_n @ lebesg260170249real_n ) @ ( t2 @ ( f @ X1 ) ) ) ) ),
inference(rectify,[],[f355]) ).
thf(f555,plain,
( ( ^ [Y0: nat] : ( sigma_1536574303real_n @ ( comple230862828real_n @ lebesg260170249real_n ) @ ( t @ ( f @ Y0 ) ) ) )
!= ( ^ [Y0: nat] : ( sigma_1536574303real_n @ ( comple230862828real_n @ lebesg260170249real_n ) @ ( t2 @ ( f @ Y0 ) ) ) ) ),
inference(fool_elimination,[],[f554]) ).
thf(f910,plain,
( ( ^ [Y0: nat] : ( sigma_1536574303real_n @ ( comple230862828real_n @ lebesg260170249real_n ) @ ( t @ ( f @ Y0 ) ) ) )
!= ( ^ [Y0: nat] : ( sigma_1536574303real_n @ ( comple230862828real_n @ lebesg260170249real_n ) @ ( t2 @ ( f @ Y0 ) ) ) ) ),
inference(flattening,[],[f555]) ).
thf(f1784,plain,
( ( ^ [Y0: nat] : ( sigma_1536574303real_n @ ( comple230862828real_n @ lebesg260170249real_n ) @ ( t @ ( f @ Y0 ) ) ) )
!= ( ^ [Y0: nat] : ( sigma_1536574303real_n @ ( comple230862828real_n @ lebesg260170249real_n ) @ ( t2 @ ( f @ Y0 ) ) ) ) ),
inference(cnf_transformation,[],[f910]) ).
thf(f1817,plain,
! [X0: finite964658038_int_n] :
( ( sigma_1536574303real_n @ ( comple230862828real_n @ lebesg260170249real_n ) @ ( t @ X0 ) )
= ( sigma_1536574303real_n @ ( comple230862828real_n @ lebesg260170249real_n ) @ ( t2 @ X0 ) ) ),
inference(cnf_transformation,[],[f1]) ).
thf(f2230,definition,
( spl141_14
<=> ( ( ^ [Y0: nat] : ( sigma_1536574303real_n @ ( comple230862828real_n @ lebesg260170249real_n ) @ ( t @ ( f @ Y0 ) ) ) )
= ( ^ [Y0: nat] : ( sigma_1536574303real_n @ ( comple230862828real_n @ lebesg260170249real_n ) @ ( t2 @ ( f @ Y0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl141_14])],[avatar_definition]) ).
thf(f2232,plain,
( ( ( ^ [Y0: nat] : ( sigma_1536574303real_n @ ( comple230862828real_n @ lebesg260170249real_n ) @ ( t @ ( f @ Y0 ) ) ) )
!= ( ^ [Y0: nat] : ( sigma_1536574303real_n @ ( comple230862828real_n @ lebesg260170249real_n ) @ ( t2 @ ( f @ Y0 ) ) ) ) )
| spl141_14 ),
inference(avatar_component_clause,[],[f2230]) ).
thf(f2233,plain,
~ spl141_14,
inference(avatar_split_clause,[],[f1784,f2230]) ).
thf(f2387,plain,
( ( ( ^ [Y0: nat] : ( sigma_1536574303real_n @ ( comple230862828real_n @ lebesg260170249real_n ) @ ( t2 @ ( f @ Y0 ) ) )
@ sK142 )
!= ( ^ [Y0: nat] : ( sigma_1536574303real_n @ ( comple230862828real_n @ lebesg260170249real_n ) @ ( t @ ( f @ Y0 ) ) )
@ sK142 ) )
| spl141_14 ),
inference(negative_extensionality,[],[f2232]) ).
thf(f2388,plain,
( ( ( sigma_1536574303real_n @ ( comple230862828real_n @ lebesg260170249real_n ) @ ( t2 @ ( f @ sK142 ) ) )
!= ( sigma_1536574303real_n @ ( comple230862828real_n @ lebesg260170249real_n ) @ ( t @ ( f @ sK142 ) ) ) )
| spl141_14 ),
inference(beta-eta_normalization,[],[f2387]) ).
thf(f2389,plain,
( $false
| spl141_14 ),
inference(forward_subsumption_resolution,[],[f2388,f1817]) ).
thf(f2390,plain,
spl141_14,
inference(avatar_contradiction_clause,[],[f2389]) ).
cnf(s15,plain,
~ spl141_14,
inference(sat_conversion,[],[f2233]) ).
cnf(s44,plain,
spl141_14,
inference(sat_conversion,[],[f2390]) ).
cnf(s46,plain,
$false,
inference(rat,[],[s15,s44]) ).
thf(f2391,plain,
$false,
inference(avatar_sat_refutation,[],[s46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP117^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n010.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 19:56:33 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.22/0.29 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
% 0.30/0.39 % (3325427)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.30/0.39 % (3325435)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=3380486348: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)
% 0.30/0.39 % (3325432)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1145599751:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.30/0.39 % (3325433)lrs+10_16_si=on:nwc=1.5:random_seed=3935583952:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.30/0.39 % (3325434)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3937342030:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.30/0.39 % (3325436)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2025025124:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.30/0.39 % (3325434)Instruction limit reached!
% 0.30/0.39 % (3325434)------------------------------
% 0.30/0.39 % (3325434)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.30/0.39 % (3325434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/0.39 % (3325434)CaDiCaL version: 2.1.3
% 0.30/0.39 % (3325434)Termination reason: Instruction limit
% 0.30/0.39 % (3325434)Termination phase: shuffling
% 0.30/0.39 % (3325434)Time elapsed: 0.003 s
% 0.30/0.39 % (3325434)Peak memory usage: 10 MB
% 0.30/0.39 % (3325434)Instructions burned: 5 (million)
% 0.30/0.39 % (3325433)Instruction limit reached!
% 0.30/0.39 % (3325433)------------------------------
% 0.30/0.39 % (3325433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.30/0.39 % (3325433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/0.39 % (3325433)CaDiCaL version: 2.1.3
% 0.30/0.39 % (3325433)Termination reason: Instruction limit
% 0.30/0.39 % (3325433)Termination phase: shuffling
% 0.30/0.39 % (3325433)Time elapsed: 0.009 s
% 0.30/0.39 % (3325433)Peak memory usage: 10 MB
% 0.30/0.39 % (3325433)Instructions burned: 19 (million)
% 0.30/0.39 % (3325438)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.30/0.39 % (3325438)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
% 0.30/0.39 % (3325437)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2224829593:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.30/0.39 % (3325436)Instruction limit reached!
% 0.30/0.39 % (3325436)------------------------------
% 0.30/0.39 % (3325436)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.30/0.39 % (3325436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/0.39 % (3325436)CaDiCaL version: 2.1.3
% 0.30/0.39 % (3325436)Termination reason: Instruction limit
% 0.30/0.39 % (3325436)Termination phase: Property scanning
% 0.30/0.39 % (3325436)Time elapsed: 0.012 s
% 0.30/0.39 % (3325436)Peak memory usage: 10 MB
% 0.30/0.39 % (3325436)Instructions burned: 26 (million)
% 0.30/0.39 % (3325438)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=907019456:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.30/0.39 % (3325444)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=946715867:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.30/0.39 % (3325444)Instruction limit reached!
% 0.30/0.39 % (3325444)------------------------------
% 0.30/0.39 % (3325444)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.30/0.39 % (3325444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/0.39 % (3325444)CaDiCaL version: 2.1.3
% 0.30/0.39 % (3325444)Termination reason: Instruction limit
% 0.30/0.39 % (3325444)Termination phase: shuffling
% 0.30/0.39 % (3325444)Time elapsed: 0.002 s
% 0.30/0.39 % (3325444)Peak memory usage: 10 MB
% 0.30/0.39 % (3325444)Instructions burned: 3 (million)
% 0.30/0.39 % (3325447)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.30/0.39 % (3325445)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3395480928:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.30/0.39 % (3325447)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=820518615:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.30/0.39 % (3325445)Instruction limit reached!
% 0.30/0.39 % (3325445)------------------------------
% 0.30/0.39 % (3325445)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.30/0.39 % (3325445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/0.39 % (3325445)CaDiCaL version: 2.1.3
% 0.30/0.39 % (3325445)Termination reason: Instruction limit
% 0.30/0.39 % (3325445)Termination phase: shuffling
% 0.30/0.39 % (3325445)Time elapsed: 0.003 s
% 0.30/0.39 % (3325445)Peak memory usage: 10 MB
% 0.30/0.39 % (3325445)Instructions burned: 6 (million)
% 0.30/0.39 % (3325435) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3325427-3325435"...
% 0.30/0.39 % (3325447)Instruction limit reached!
% 0.30/0.39 % (3325447)------------------------------
% 0.30/0.39 % (3325447)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.30/0.39 % (3325447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/0.39 % (3325447)CaDiCaL version: 2.1.3
% 0.30/0.39 % (3325447)Termination reason: Instruction limit
% 0.30/0.39 % (3325447)Termination phase: shuffling
% 0.30/0.39 % (3325447)Time elapsed: 0.004 s
% 0.30/0.39 % (3325447)Peak memory usage: 10 MB
% 0.30/0.39 % (3325447)Instructions burned: 9 (million)
% 0.30/0.39 % (3325435)...printing done.
% 0.30/0.39 % (3325435)Refutation found. Thanks to Tanya!
% 0.30/0.39 % SZS status Theorem for theBenchmark
% 0.30/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.30/0.39 % (3325435)------------------------------
% 0.30/0.39 % (3325435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.30/0.39 % (3325435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/0.39 % (3325435)CaDiCaL version: 2.1.3
% 0.30/0.39 % (3325435)Termination reason: Refutation
% 0.30/0.39 % (3325435)Time elapsed: 0.043 s
% 0.30/0.39 % (3325435)Peak memory usage: 15 MB
% 0.30/0.39 % (3325435)Instructions burned: 162 (million)
% 0.30/0.39 % (3325427)Success in time 0.091 s
% 0.30/0.39 % Vampire exiting
%------------------------------------------------------------------------------