%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP116^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:10:45 AM UTC 2026
% Result : Theorem 1.58s 0.51s
% Output : Refutation 1.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 63 ( 48 unt; 0 typ; 0 def)
% Number of atoms : 230 ( 68 equ; 0 cnn)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 750 ( 16 ~; 12 |; 33 &; 686 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Number of types : 21 ( 20 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 155 ( 152 usr; 8 con; 0-4 aty)
% Number of variables : 172 ( 135 ^; 37 !; 0 ?; 172 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
set_Fi1066397675real_n: $tType ).
thf(type_def_6,type,
set_se830533260real_n: $tType ).
thf(type_def_7,type,
set_Fi909698444real_n: $tType ).
thf(type_def_8,type,
set_Fi1260307670real_n: $tType ).
thf(type_def_9,type,
set_Fi1491909078real_n: $tType ).
thf(type_def_10,type,
set_se1738601133real_n: $tType ).
thf(type_def_11,type,
sigma_107786596real_n: $tType ).
thf(type_def_12,type,
set_se221767415real_n: $tType ).
thf(type_def_13,type,
set_se955370231real_n: $tType ).
thf(type_def_14,type,
set_Fi1645173239real_n: $tType ).
thf(type_def_15,type,
set_Fi1326602817real_n: $tType ).
thf(type_def_16,type,
sigma_1422848389real_n: $tType ).
thf(type_def_17,type,
set_se820660888real_n: $tType ).
thf(type_def_18,type,
sigma_1466784463real_n: $tType ).
thf(type_def_19,type,
set_se2111327970real_n: $tType ).
thf(type_def_20,type,
set_Fi1058188332real_n: $tType ).
thf(type_def_21,type,
finite1489363574real_n: $tType ).
thf(type_def_22,type,
finite964658038_int_n: $tType ).
thf(type_def_23,type,
set_nat: $tType ).
thf(type_def_24,type,
nat: $tType ).
thf(type_def_25,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
borel_1962407338real_n: ( finite1489363574real_n > finite1489363574real_n ) > sigma_1466784463real_n > $o ).
thf(func_def_1,type,
borel_676189912real_n: sigma_1466784463real_n ).
thf(func_def_2,type,
comple230862828real_n: sigma_1466784463real_n > sigma_1466784463real_n ).
thf(func_def_3,type,
comple1390568924real_n: sigma_1466784463real_n > set_Fi1058188332real_n > set_Fi1058188332real_n ).
thf(func_def_4,type,
minus_391085931al_n_o: ( ( finite1489363574real_n > finite1489363574real_n ) > $o ) > ( ( finite1489363574real_n > finite1489363574real_n ) > $o ) > ( finite1489363574real_n > finite1489363574real_n ) > $o ).
thf(func_def_5,type,
minus_455231168al_n_o: ( finite1489363574real_n > $o ) > ( finite1489363574real_n > $o ) > finite1489363574real_n > $o ).
thf(func_def_6,type,
minus_1832115082al_n_o: ( set_Fi1058188332real_n > $o ) > ( set_Fi1058188332real_n > $o ) > set_Fi1058188332real_n > $o ).
thf(func_def_7,type,
minus_1037315151real_n: finite1489363574real_n > finite1489363574real_n > finite1489363574real_n ).
thf(func_def_8,type,
minus_minus_nat: nat > nat > nat ).
thf(func_def_9,type,
minus_725016986real_n: set_Fi1326602817real_n > set_Fi1326602817real_n > set_Fi1326602817real_n ).
thf(func_def_10,type,
minus_1686442501real_n: set_Fi1058188332real_n > set_Fi1058188332real_n > set_Fi1058188332real_n ).
thf(func_def_11,type,
minus_1698615483real_n: set_se2111327970real_n > set_se2111327970real_n > set_se2111327970real_n ).
thf(func_def_12,type,
plus_p585657087real_n: finite1489363574real_n > finite1489363574real_n > finite1489363574real_n ).
thf(func_def_13,type,
plus_plus_nat: nat > nat > nat ).
thf(func_def_14,type,
plus_p1606848693real_n: set_Fi1058188332real_n > set_Fi1058188332real_n > set_Fi1058188332real_n ).
thf(func_def_15,type,
plus_p565022571real_n: set_se2111327970real_n > set_se2111327970real_n > set_se2111327970real_n ).
thf(func_def_16,type,
zero_z200130687real_n: finite1489363574real_n ).
thf(func_def_17,type,
zero_zero_nat: nat ).
thf(func_def_18,type,
if_Fin413489477real_n: $o > ( finite1489363574real_n > finite1489363574real_n ) > ( finite1489363574real_n > finite1489363574real_n ) > finite1489363574real_n > finite1489363574real_n ).
thf(func_def_19,type,
if_Fin127821360real_n: $o > finite1489363574real_n > finite1489363574real_n > finite1489363574real_n ).
thf(func_def_20,type,
if_set11487206real_n: $o > set_Fi1058188332real_n > set_Fi1058188332real_n > set_Fi1058188332real_n ).
thf(func_def_21,type,
inf_in32002162al_n_o: ( ( finite1489363574real_n > finite1489363574real_n ) > $o ) > ( ( finite1489363574real_n > finite1489363574real_n ) > $o ) > ( finite1489363574real_n > finite1489363574real_n ) > $o ).
thf(func_def_22,type,
inf_in1620715847al_n_o: ( finite1489363574real_n > $o ) > ( finite1489363574real_n > $o ) > finite1489363574real_n > $o ).
thf(func_def_23,type,
inf_in409346577al_n_o: ( set_Fi1058188332real_n > $o ) > ( set_Fi1058188332real_n > $o ) > set_Fi1058188332real_n > $o ).
thf(func_def_24,type,
inf_in146441683real_n: set_Fi1326602817real_n > set_Fi1326602817real_n > set_Fi1326602817real_n ).
thf(func_def_25,type,
inf_in1974387902real_n: set_Fi1058188332real_n > set_Fi1058188332real_n > set_Fi1058188332real_n ).
thf(func_def_26,type,
inf_in632889204real_n: set_se2111327970real_n > set_se2111327970real_n > set_se2111327970real_n ).
thf(func_def_27,type,
lebesg260170249real_n: sigma_1466784463real_n ).
thf(func_def_28,type,
minkow1134813771n_real: finite964658038_int_n > finite1489363574real_n ).
thf(func_def_29,type,
ord_Least_nat: ( nat > $o ) > nat ).
thf(func_def_30,type,
collec1190264032real_n: ( ( finite1489363574real_n > finite1489363574real_n ) > $o ) > set_Fi1326602817real_n ).
thf(func_def_31,type,
collec321817931real_n: ( finite1489363574real_n > $o ) > set_Fi1058188332real_n ).
thf(func_def_32,type,
collec452821761real_n: ( set_Fi1058188332real_n > $o ) > set_se2111327970real_n ).
thf(func_def_33,type,
image_1123376925real_n: ( ( finite1489363574real_n > finite1489363574real_n ) > finite1489363574real_n > finite1489363574real_n ) > set_Fi1326602817real_n > set_Fi1326602817real_n ).
thf(func_def_34,type,
image_449906696real_n: ( ( finite1489363574real_n > finite1489363574real_n ) > finite1489363574real_n ) > set_Fi1326602817real_n > set_Fi1058188332real_n ).
thf(func_def_35,type,
image_128879038real_n: ( ( finite1489363574real_n > finite1489363574real_n ) > set_Fi1058188332real_n ) > set_Fi1326602817real_n > set_se2111327970real_n ).
thf(func_def_36,type,
image_437359496real_n: ( finite1489363574real_n > finite1489363574real_n > finite1489363574real_n ) > set_Fi1058188332real_n > set_Fi1326602817real_n ).
thf(func_def_37,type,
image_439535603real_n: ( finite1489363574real_n > finite1489363574real_n ) > set_Fi1058188332real_n > set_Fi1058188332real_n ).
thf(func_def_38,type,
image_545463721real_n: ( finite1489363574real_n > set_Fi1058188332real_n ) > set_Fi1058188332real_n > set_se2111327970real_n ).
thf(func_def_39,type,
image_nat_nat: ( nat > nat ) > set_nat > set_nat ).
thf(func_def_40,type,
image_352856126real_n: ( set_Fi1058188332real_n > finite1489363574real_n > finite1489363574real_n ) > set_se2111327970real_n > set_Fi1326602817real_n ).
thf(func_def_41,type,
image_1311908777real_n: ( set_Fi1058188332real_n > finite1489363574real_n ) > set_se2111327970real_n > set_Fi1058188332real_n ).
thf(func_def_42,type,
image_1661509983real_n: ( set_Fi1058188332real_n > set_Fi1058188332real_n ) > set_se2111327970real_n > set_se2111327970real_n ).
thf(func_def_43,type,
vimage180751827real_n: ( ( finite1489363574real_n > finite1489363574real_n ) > finite1489363574real_n > finite1489363574real_n ) > set_Fi1326602817real_n > set_Fi1326602817real_n ).
thf(func_def_44,type,
vimage1072397758real_n: ( ( finite1489363574real_n > finite1489363574real_n ) > finite1489363574real_n ) > set_Fi1058188332real_n > set_Fi1326602817real_n ).
thf(func_def_45,type,
vimage2098059032_n_nat: ( ( finite1489363574real_n > finite1489363574real_n ) > nat ) > set_nat > set_Fi1326602817real_n ).
thf(func_def_46,type,
vimage1910974324real_n: ( ( finite1489363574real_n > finite1489363574real_n ) > set_Fi1058188332real_n ) > set_se2111327970real_n > set_Fi1326602817real_n ).
thf(func_def_47,type,
vimage1059850558real_n: ( finite1489363574real_n > finite1489363574real_n > finite1489363574real_n ) > set_Fi1326602817real_n > set_Fi1058188332real_n ).
thf(func_def_48,type,
vimage1233683625real_n: ( finite1489363574real_n > finite1489363574real_n ) > set_Fi1058188332real_n > set_Fi1058188332real_n ).
thf(func_def_49,type,
vimage281029891_n_nat: ( finite1489363574real_n > nat ) > set_nat > set_Fi1058188332real_n ).
thf(func_def_50,type,
vimage207290975real_n: ( finite1489363574real_n > set_Fi1058188332real_n ) > set_se2111327970real_n > set_Fi1058188332real_n ).
thf(func_def_51,type,
vimage2134951412real_n: ( set_Fi1058188332real_n > finite1489363574real_n > finite1489363574real_n ) > set_Fi1326602817real_n > set_se2111327970real_n ).
thf(func_def_52,type,
vimage973736031real_n: ( set_Fi1058188332real_n > finite1489363574real_n ) > set_Fi1058188332real_n > set_se2111327970real_n ).
thf(func_def_53,type,
vimage501526201_n_nat: ( set_Fi1058188332real_n > nat ) > set_nat > set_se2111327970real_n ).
thf(func_def_54,type,
vimage784510485real_n: ( set_Fi1058188332real_n > set_Fi1058188332real_n ) > set_se2111327970real_n > set_se2111327970real_n ).
thf(func_def_55,type,
sigma_1185134568real_n: sigma_107786596real_n > sigma_107786596real_n > set_Fi1066397675real_n ).
thf(func_def_56,type,
sigma_2028985427real_n: sigma_107786596real_n > sigma_1466784463real_n > set_Fi1491909078real_n ).
thf(func_def_57,type,
sigma_364818953real_n: sigma_107786596real_n > sigma_1422848389real_n > set_Fi909698444real_n ).
thf(func_def_58,type,
sigma_2016438227real_n: sigma_1466784463real_n > sigma_107786596real_n > set_Fi1260307670real_n ).
thf(func_def_59,type,
sigma_439801790real_n: sigma_1466784463real_n > sigma_1466784463real_n > set_Fi1326602817real_n ).
thf(func_def_60,type,
sigma_566919540real_n: sigma_1466784463real_n > sigma_1422848389real_n > set_Fi1645173239real_n ).
thf(func_def_61,type,
sigma_588796041real_n: sigma_1422848389real_n > sigma_107786596real_n > set_se830533260real_n ).
thf(func_def_62,type,
sigma_1333364596real_n: sigma_1422848389real_n > sigma_1466784463real_n > set_se955370231real_n ).
thf(func_def_63,type,
sigma_239294762real_n: sigma_1422848389real_n > sigma_1422848389real_n > set_se1738601133real_n ).
thf(func_def_64,type,
sigma_1052429895real_n: sigma_107786596real_n > set_Fi1326602817real_n > sigma_107786596real_n ).
thf(func_def_65,type,
sigma_346513458real_n: sigma_1466784463real_n > set_Fi1058188332real_n > sigma_1466784463real_n ).
thf(func_def_66,type,
sigma_993999336real_n: sigma_1422848389real_n > set_se2111327970real_n > sigma_1422848389real_n ).
thf(func_def_67,type,
sigma_522684908real_n: sigma_107786596real_n > set_se221767415real_n ).
thf(func_def_68,type,
sigma_1235138647real_n: sigma_1466784463real_n > set_se2111327970real_n ).
thf(func_def_69,type,
sigma_433815053real_n: sigma_1422848389real_n > set_se820660888real_n ).
thf(func_def_70,type,
sigma_1483971331real_n: sigma_107786596real_n > set_Fi1326602817real_n ).
thf(func_def_71,type,
sigma_476185326real_n: sigma_1466784463real_n > set_Fi1058188332real_n ).
thf(func_def_72,type,
sigma_607186084real_n: sigma_1422848389real_n > set_se2111327970real_n ).
thf(func_def_73,type,
sigma_136294295real_n: set_Fi1326602817real_n > ( ( finite1489363574real_n > finite1489363574real_n ) > finite1489363574real_n ) > sigma_1466784463real_n > sigma_107786596real_n ).
thf(func_def_74,type,
sigma_821351682real_n: set_Fi1058188332real_n > ( finite1489363574real_n > finite1489363574real_n ) > sigma_1466784463real_n > sigma_1466784463real_n ).
thf(func_def_75,type,
sigma_1384150200real_n: set_se2111327970real_n > ( set_Fi1058188332real_n > finite1489363574real_n ) > sigma_1466784463real_n > sigma_1422848389real_n ).
thf(func_def_76,type,
member117715276real_n: ( ( finite1489363574real_n > finite1489363574real_n ) > finite1489363574real_n > finite1489363574real_n ) > set_Fi1066397675real_n > $o ).
thf(func_def_77,type,
member1695588023real_n: ( ( finite1489363574real_n > finite1489363574real_n ) > finite1489363574real_n ) > set_Fi1491909078real_n > $o ).
thf(func_def_78,type,
member640587117real_n: ( ( finite1489363574real_n > finite1489363574real_n ) > set_Fi1058188332real_n ) > set_Fi909698444real_n > $o ).
thf(func_def_79,type,
member408431031real_n: ( finite1489363574real_n > finite1489363574real_n > finite1489363574real_n ) > set_Fi1260307670real_n > $o ).
thf(func_def_80,type,
member1746150050real_n: ( finite1489363574real_n > finite1489363574real_n ) > set_Fi1326602817real_n > $o ).
thf(func_def_81,type,
member966061400real_n: ( finite1489363574real_n > set_Fi1058188332real_n ) > set_Fi1645173239real_n > $o ).
thf(func_def_82,type,
member1764433517real_n: ( set_Fi1058188332real_n > finite1489363574real_n > finite1489363574real_n ) > set_se830533260real_n > $o ).
thf(func_def_83,type,
member1759501912real_n: ( set_Fi1058188332real_n > finite1489363574real_n ) > set_se955370231real_n > $o ).
thf(func_def_84,type,
member1734791438real_n: ( set_Fi1058188332real_n > set_Fi1058188332real_n ) > set_se1738601133real_n > $o ).
thf(func_def_85,type,
member1352538125real_n: finite1489363574real_n > set_Fi1058188332real_n > $o ).
thf(func_def_86,type,
member2104752728real_n: set_Fi1326602817real_n > set_se221767415real_n > $o ).
thf(func_def_87,type,
member223413699real_n: set_Fi1058188332real_n > set_se2111327970real_n > $o ).
thf(func_def_88,type,
member1475136633real_n: set_se2111327970real_n > set_se820660888real_n > $o ).
thf(func_def_89,type,
r: finite964658038_int_n > set_Fi1058188332real_n ).
thf(func_def_90,type,
s: set_Fi1058188332real_n ).
thf(func_def_91,type,
t: finite964658038_int_n > set_Fi1058188332real_n ).
thf(func_def_92,type,
t2: finite964658038_int_n > set_Fi1058188332real_n ).
thf(func_def_93,type,
a: finite964658038_int_n ).
thf(func_def_97,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_98,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_99,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_100,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_101,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_102,type,
vAND: $o > $o > $o ).
thf(func_def_103,type,
vIMP: $o > $o > $o ).
thf(func_def_104,type,
vNOT: $o > $o ).
thf(func_def_105,type,
vOR: $o > $o > $o ).
thf(func_def_106,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_107,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_108,type,
sK0: ( finite1489363574real_n > finite1489363574real_n ) > ( finite1489363574real_n > finite1489363574real_n ) > set_Fi1058188332real_n > finite1489363574real_n ).
thf(func_def_109,type,
sK1: set_se2111327970real_n > set_se2111327970real_n > set_Fi1058188332real_n > set_Fi1058188332real_n ).
thf(func_def_110,type,
sK2: set_se2111327970real_n > set_se2111327970real_n > set_Fi1058188332real_n > set_Fi1058188332real_n ).
thf(func_def_111,type,
sK3: set_Fi1058188332real_n > set_Fi1058188332real_n > finite1489363574real_n > finite1489363574real_n ).
thf(func_def_112,type,
sK4: set_Fi1058188332real_n > set_Fi1058188332real_n > finite1489363574real_n > finite1489363574real_n ).
thf(func_def_113,type,
sK5: ( finite1489363574real_n > $o ) > ( finite1489363574real_n > $o ) > finite1489363574real_n ).
thf(func_def_114,type,
sK6: ( finite1489363574real_n > $o ) > ( finite1489363574real_n > finite1489363574real_n ) > ( finite1489363574real_n > $o ) > finite1489363574real_n ).
thf(func_def_115,type,
sK7: sigma_1422848389real_n > ( set_Fi1058188332real_n > set_Fi1058188332real_n ) > sigma_1422848389real_n > set_se2111327970real_n ).
thf(func_def_116,type,
sK8: sigma_1422848389real_n > ( set_Fi1058188332real_n > set_Fi1058188332real_n ) > sigma_1422848389real_n > set_Fi1058188332real_n ).
thf(func_def_117,type,
sK9: sigma_107786596real_n > ( set_Fi1058188332real_n > finite1489363574real_n > finite1489363574real_n ) > sigma_1422848389real_n > set_Fi1326602817real_n ).
thf(func_def_118,type,
sK10: sigma_107786596real_n > ( set_Fi1058188332real_n > finite1489363574real_n > finite1489363574real_n ) > sigma_1422848389real_n > set_Fi1058188332real_n ).
thf(func_def_119,type,
sK11: sigma_1422848389real_n > ( ( finite1489363574real_n > finite1489363574real_n ) > set_Fi1058188332real_n ) > sigma_107786596real_n > set_se2111327970real_n ).
thf(func_def_120,type,
sK12: sigma_1422848389real_n > ( ( finite1489363574real_n > finite1489363574real_n ) > set_Fi1058188332real_n ) > sigma_107786596real_n > finite1489363574real_n > finite1489363574real_n ).
thf(func_def_121,type,
sK13: sigma_107786596real_n > ( ( finite1489363574real_n > finite1489363574real_n ) > finite1489363574real_n > finite1489363574real_n ) > sigma_107786596real_n > set_Fi1326602817real_n ).
thf(func_def_122,type,
sK14: sigma_107786596real_n > ( ( finite1489363574real_n > finite1489363574real_n ) > finite1489363574real_n > finite1489363574real_n ) > sigma_107786596real_n > finite1489363574real_n > finite1489363574real_n ).
thf(func_def_123,type,
sK15: sigma_1466784463real_n > ( set_Fi1058188332real_n > finite1489363574real_n ) > sigma_1422848389real_n > set_Fi1058188332real_n ).
thf(func_def_124,type,
sK16: sigma_1466784463real_n > ( set_Fi1058188332real_n > finite1489363574real_n ) > sigma_1422848389real_n > set_Fi1058188332real_n ).
thf(func_def_125,type,
sK17: sigma_1466784463real_n > ( ( finite1489363574real_n > finite1489363574real_n ) > finite1489363574real_n ) > sigma_107786596real_n > set_Fi1058188332real_n ).
thf(func_def_126,type,
sK18: sigma_1466784463real_n > ( ( finite1489363574real_n > finite1489363574real_n ) > finite1489363574real_n ) > sigma_107786596real_n > finite1489363574real_n > finite1489363574real_n ).
thf(func_def_127,type,
sK19: sigma_1422848389real_n > ( finite1489363574real_n > set_Fi1058188332real_n ) > sigma_1466784463real_n > set_se2111327970real_n ).
thf(func_def_128,type,
sK20: sigma_1422848389real_n > ( finite1489363574real_n > set_Fi1058188332real_n ) > sigma_1466784463real_n > finite1489363574real_n ).
thf(func_def_129,type,
sK21: sigma_107786596real_n > ( finite1489363574real_n > finite1489363574real_n > finite1489363574real_n ) > sigma_1466784463real_n > set_Fi1326602817real_n ).
thf(func_def_130,type,
sK22: sigma_107786596real_n > ( finite1489363574real_n > finite1489363574real_n > finite1489363574real_n ) > sigma_1466784463real_n > finite1489363574real_n ).
thf(func_def_131,type,
sK23: sigma_1466784463real_n > ( finite1489363574real_n > finite1489363574real_n ) > sigma_1466784463real_n > set_Fi1058188332real_n ).
thf(func_def_132,type,
sK24: sigma_1466784463real_n > ( finite1489363574real_n > finite1489363574real_n ) > sigma_1466784463real_n > finite1489363574real_n ).
thf(func_def_133,type,
sK25: ( finite1489363574real_n > finite1489363574real_n ) > ( finite1489363574real_n > finite1489363574real_n ) > sigma_1466784463real_n > finite1489363574real_n ).
thf(func_def_134,type,
sK26: ( finite1489363574real_n > finite1489363574real_n ) > ( finite1489363574real_n > finite1489363574real_n ) > sigma_1466784463real_n > finite1489363574real_n ).
thf(func_def_135,type,
sK27: ( nat > set_Fi1058188332real_n > $o ) > sigma_1422848389real_n > nat ).
thf(func_def_136,type,
sK28: ( nat > ( finite1489363574real_n > finite1489363574real_n ) > $o ) > sigma_107786596real_n > nat ).
thf(func_def_137,type,
sK29: ( nat > finite1489363574real_n > $o ) > sigma_1466784463real_n > nat ).
thf(func_def_138,type,
sK30: set_Fi1058188332real_n > ( finite1489363574real_n > finite1489363574real_n ) > finite1489363574real_n > finite1489363574real_n ).
thf(func_def_139,type,
sK31: set_se2111327970real_n > ( set_Fi1058188332real_n > set_Fi1058188332real_n ) > set_Fi1058188332real_n > set_Fi1058188332real_n ).
thf(func_def_140,type,
sK32: set_Fi1326602817real_n > ( ( finite1489363574real_n > finite1489363574real_n ) > set_Fi1058188332real_n ) > set_Fi1058188332real_n > finite1489363574real_n > finite1489363574real_n ).
thf(func_def_141,type,
sK33: set_se2111327970real_n > ( set_Fi1058188332real_n > finite1489363574real_n > finite1489363574real_n ) > ( finite1489363574real_n > finite1489363574real_n ) > set_Fi1058188332real_n ).
thf(func_def_142,type,
sK34: set_Fi1326602817real_n > ( ( finite1489363574real_n > finite1489363574real_n ) > finite1489363574real_n > finite1489363574real_n ) > ( finite1489363574real_n > finite1489363574real_n ) > finite1489363574real_n > finite1489363574real_n ).
thf(func_def_143,type,
sK35: ( finite1489363574real_n > $o ) > set_Fi1058188332real_n > ( finite1489363574real_n > finite1489363574real_n ) > finite1489363574real_n ).
thf(func_def_144,type,
sK36: ( finite1489363574real_n > finite1489363574real_n ) > ( finite1489363574real_n > finite1489363574real_n ) > set_Fi1058188332real_n > finite1489363574real_n ).
thf(func_def_145,type,
sK37: ( finite1489363574real_n > $o ) > set_Fi1058188332real_n > ( finite1489363574real_n > finite1489363574real_n ) > finite1489363574real_n ).
thf(func_def_146,type,
sK38: ( set_Fi1058188332real_n > finite1489363574real_n ) > ( set_Fi1058188332real_n > finite1489363574real_n ) > set_se2111327970real_n > set_Fi1058188332real_n ).
thf(func_def_147,type,
sK39: ( ( finite1489363574real_n > finite1489363574real_n ) > finite1489363574real_n ) > ( ( finite1489363574real_n > finite1489363574real_n ) > finite1489363574real_n ) > set_Fi1326602817real_n > finite1489363574real_n > finite1489363574real_n ).
thf(func_def_148,type,
sK40: ( finite1489363574real_n > finite1489363574real_n ) > ( finite1489363574real_n > finite1489363574real_n ) > set_Fi1058188332real_n > finite1489363574real_n ).
thf(func_def_149,type,
sK41: set_Fi1058188332real_n > finite1489363574real_n > set_Fi1058188332real_n > finite1489363574real_n ).
thf(func_def_150,type,
sK42: set_Fi1058188332real_n > ( finite1489363574real_n > finite1489363574real_n ) > set_Fi1058188332real_n ).
thf(func_def_151,type,
sK43: ( finite1489363574real_n > finite1489363574real_n ) > set_Fi1058188332real_n ).
thf(func_def_152,type,
sK44: ( finite1489363574real_n > finite1489363574real_n ) > finite1489363574real_n > set_Fi1058188332real_n > finite1489363574real_n ).
thf(func_def_153,type,
sK45: sigma_1466784463real_n > ( finite1489363574real_n > finite1489363574real_n ) > set_Fi1058188332real_n ).
thf(f3,axiom,
! [X0: finite964658038_int_n] :
( ( member223413699real_n @ ( t2 @ X0 ) @ ( sigma_1235138647real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) )
=> ( member223413699real_n
@ ( inf_in1974387902real_n
@ ( vimage1233683625real_n
@ ^ [X1: finite1489363574real_n] : ( plus_p585657087real_n @ X1 @ ( minkow1134813771n_real @ X0 ) )
@ ( t2 @ X0 ) )
@ ( sigma_476185326real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) )
@ ( sigma_1235138647real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2__092_060open_062_092_060And_062a_O_AT_Aa_A_092_060in_062_Asets_Alebesgue_A_092_060Longrightarrow_062_A_I_092_060lambda_062x_O_Ax_A_L_Aof__int__vec_Aa_J_A_N_096_AT_Aa_A_092_060inter_062_Aspace_Alebesgue_A_092_060in_062_Asets_Alebesgue_092_060close_062) ).
thf(f4,axiom,
! [X0: finite964658038_int_n] : ( member223413699real_n @ ( t2 @ X0 ) @ ( sigma_1235138647real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3__092_060open_062_092_060And_062a_O_AT_Aa_A_092_060in_062_Asets_Alebesgue_092_060close_062) ).
thf(f5,axiom,
! [X0: finite964658038_int_n] :
( ( t @ X0 )
= ( vimage1233683625real_n
@ ^ [X1: finite1489363574real_n] : ( plus_p585657087real_n @ X1 @ ( minkow1134813771n_real @ X0 ) )
@ ( t2 @ X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_T_H__altdef) ).
thf(f27,axiom,
( vimage1233683625real_n
= ( ^ [X0: finite1489363574real_n > finite1489363574real_n,X1: set_Fi1058188332real_n] :
( collec321817931real_n
@ ^ [X2: finite1489363574real_n] : ( member1352538125real_n @ ( X0 @ X2 ) @ X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_26_vimage__def) ).
thf(f46,axiom,
( t2
= ( ^ [X0: finite964658038_int_n] : ( inf_in1974387902real_n @ s @ ( r @ X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_45_T__def) ).
thf(f67,axiom,
( inf_in1974387902real_n
= ( ^ [X0: set_Fi1058188332real_n,X1: set_Fi1058188332real_n] :
( collec321817931real_n
@ ^ [X2: finite1489363574real_n] :
( ( member1352538125real_n @ X2 @ X1 )
& ( member1352538125real_n @ X2 @ X0 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_66_Int__def) ).
thf(f178,axiom,
( t
= ( ^ [X0: finite964658038_int_n] :
( image_439535603real_n
@ ^ [X1: finite1489363574real_n] : ( minus_1037315151real_n @ X1 @ ( minkow1134813771n_real @ X0 ) )
@ ( t2 @ X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_177_T_H__def) ).
thf(f269,axiom,
! [X0: sigma_1466784463real_n,X1: set_Fi1058188332real_n] :
( ( sigma_476185326real_n @ ( sigma_346513458real_n @ X0 @ X1 ) )
= ( inf_in1974387902real_n @ X1 @ ( sigma_476185326real_n @ X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_268_space__restrict__space) ).
thf(f276,axiom,
! [X0: set_Fi1058188332real_n] :
( ( sigma_476185326real_n @ ( sigma_346513458real_n @ ( comple230862828real_n @ lebesg260170249real_n ) @ X0 ) )
= X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_275_space__lebesgue__on) ).
thf(f359,axiom,
! [X0: $o] :
( ( X0 = $false )
| ( X0 = $true ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_If_3_1_If_001_062_It__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J_Mt__Finite____Cartesian____Product__Ovec_It__Real__Oreal_Mtf__n_J_J_T) ).
thf(f362,conjecture,
( member223413699real_n
@ ( vimage1233683625real_n
@ ^ [X0: finite1489363574real_n] : ( plus_p585657087real_n @ X0 @ ( minkow1134813771n_real @ a ) )
@ ( t2 @ a ) )
@ ( sigma_1235138647real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(f363,negated_conjecture,
~ ( member223413699real_n
@ ( vimage1233683625real_n
@ ^ [X0: finite1489363574real_n] : ( plus_p585657087real_n @ X0 @ ( minkow1134813771n_real @ a ) )
@ ( t2 @ a ) )
@ ( sigma_1235138647real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) ),
inference(negated_conjecture,[status(cth)],[f362]) ).
thf(f367,plain,
! [X0: finite964658038_int_n] :
( ( member223413699real_n @ ( t2 @ X0 ) @ ( sigma_1235138647real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) )
=> ( member223413699real_n
@ ( inf_in1974387902real_n
@ ( vimage1233683625real_n
@ ^ [X1: finite1489363574real_n] : ( plus_p585657087real_n @ X1 @ ( minkow1134813771n_real @ X0 ) )
@ ( t2 @ X0 ) )
@ ( sigma_476185326real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) )
@ ( sigma_1235138647real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) ) ),
inference(rectify,[],[f3]) ).
thf(f368,plain,
! [X0: finite964658038_int_n] :
( ( ( member223413699real_n @ ( t2 @ X0 ) @ ( sigma_1235138647real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) )
= $true )
=> ( $true
= ( member223413699real_n
@ ( inf_in1974387902real_n
@ ( vimage1233683625real_n
@ ^ [Y0: finite1489363574real_n] : ( plus_p585657087real_n @ Y0 @ ( minkow1134813771n_real @ X0 ) )
@ ( t2 @ X0 ) )
@ ( sigma_476185326real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) )
@ ( sigma_1235138647real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) ) ) ),
inference(fool_elimination,[],[f367]) ).
thf(f369,plain,
! [X0: finite964658038_int_n] : ( member223413699real_n @ ( t2 @ X0 ) @ ( sigma_1235138647real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) ),
inference(rectify,[],[f4]) ).
thf(f370,plain,
! [X0: finite964658038_int_n] :
( ( member223413699real_n @ ( t2 @ X0 ) @ ( sigma_1235138647real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) )
= $true ),
inference(fool_elimination,[],[f369]) ).
thf(f371,plain,
! [X0: finite964658038_int_n] :
( ( t @ X0 )
= ( vimage1233683625real_n
@ ^ [X1: finite1489363574real_n] : ( plus_p585657087real_n @ X1 @ ( minkow1134813771n_real @ X0 ) )
@ ( t2 @ X0 ) ) ),
inference(rectify,[],[f5]) ).
thf(f372,plain,
! [X0: finite964658038_int_n] :
( ( t @ X0 )
= ( vimage1233683625real_n
@ ^ [Y0: finite1489363574real_n] : ( plus_p585657087real_n @ Y0 @ ( minkow1134813771n_real @ X0 ) )
@ ( t2 @ X0 ) ) ),
inference(fool_elimination,[],[f371]) ).
thf(f403,plain,
( vimage1233683625real_n
= ( ^ [X0: finite1489363574real_n > finite1489363574real_n,X1: set_Fi1058188332real_n] :
( collec321817931real_n
@ ^ [X2: finite1489363574real_n] : ( member1352538125real_n @ ( X0 @ X2 ) @ X1 ) ) ) ),
inference(rectify,[],[f27]) ).
thf(f404,plain,
( vimage1233683625real_n
= ( ^ [Y0: finite1489363574real_n > finite1489363574real_n,Y1: set_Fi1058188332real_n] :
( collec321817931real_n
@ ^ [Y2: finite1489363574real_n] : ( member1352538125real_n @ ( Y0 @ Y2 ) @ Y1 ) ) ) ),
inference(fool_elimination,[],[f403]) ).
thf(f437,plain,
( t2
= ( ^ [Y0: finite964658038_int_n] : ( inf_in1974387902real_n @ s @ ( r @ Y0 ) ) ) ),
inference(fool_elimination,[],[f46]) ).
thf(f469,plain,
( inf_in1974387902real_n
= ( ^ [X0: set_Fi1058188332real_n,X1: set_Fi1058188332real_n] :
( collec321817931real_n
@ ^ [X2: finite1489363574real_n] :
( ( member1352538125real_n @ X2 @ X1 )
& ( member1352538125real_n @ X2 @ X0 ) ) ) ) ),
inference(rectify,[],[f67]) ).
thf(f470,plain,
( inf_in1974387902real_n
= ( ^ [Y0: set_Fi1058188332real_n,Y1: set_Fi1058188332real_n] :
( collec321817931real_n
@ ^ [Y2: finite1489363574real_n] :
( ( member1352538125real_n @ Y2 @ Y0 )
& ( member1352538125real_n @ Y2 @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f469]) ).
thf(f625,plain,
( t
= ( ^ [X0: finite964658038_int_n] :
( image_439535603real_n
@ ^ [X1: finite1489363574real_n] : ( minus_1037315151real_n @ X1 @ ( minkow1134813771n_real @ X0 ) )
@ ( t2 @ X0 ) ) ) ),
inference(rectify,[],[f178]) ).
thf(f626,plain,
( t
= ( ^ [Y0: finite964658038_int_n] :
( image_439535603real_n
@ ^ [Y1: finite1489363574real_n] : ( minus_1037315151real_n @ Y1 @ ( minkow1134813771n_real @ Y0 ) )
@ ( t2 @ Y0 ) ) ) ),
inference(fool_elimination,[],[f625]) ).
thf(f850,plain,
! [X0: $o] :
( ( $false = X0 )
| ( $true = X0 ) ),
inference(fool_elimination,[],[f359]) ).
thf(f855,plain,
~ ( member223413699real_n
@ ( vimage1233683625real_n
@ ^ [X0: finite1489363574real_n] : ( plus_p585657087real_n @ X0 @ ( minkow1134813771n_real @ a ) )
@ ( t2 @ a ) )
@ ( sigma_1235138647real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) ),
inference(rectify,[],[f363]) ).
thf(f856,plain,
( $true
!= ( member223413699real_n
@ ( vimage1233683625real_n
@ ^ [Y0: finite1489363574real_n] : ( plus_p585657087real_n @ Y0 @ ( minkow1134813771n_real @ a ) )
@ ( t2 @ a ) )
@ ( sigma_1235138647real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) ) ),
inference(fool_elimination,[],[f855]) ).
thf(f871,plain,
( $true
!= ( member223413699real_n
@ ( vimage1233683625real_n
@ ^ [Y0: finite1489363574real_n] : ( plus_p585657087real_n @ Y0 @ ( minkow1134813771n_real @ a ) )
@ ( t2 @ a ) )
@ ( sigma_1235138647real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) ) ),
inference(flattening,[],[f856]) ).
thf(f872,plain,
! [X0: finite964658038_int_n] :
( ( $true
= ( member223413699real_n
@ ( inf_in1974387902real_n
@ ( vimage1233683625real_n
@ ^ [Y0: finite1489363574real_n] : ( plus_p585657087real_n @ Y0 @ ( minkow1134813771n_real @ X0 ) )
@ ( t2 @ X0 ) )
@ ( sigma_476185326real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) )
@ ( sigma_1235138647real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) ) )
| ( ( member223413699real_n @ ( t2 @ X0 ) @ ( sigma_1235138647real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) )
!= $true ) ),
inference(ennf_transformation,[],[f368]) ).
thf(f1187,plain,
! [X0: finite964658038_int_n] :
( ( $true
= ( member223413699real_n
@ ( inf_in1974387902real_n
@ ( vimage1233683625real_n
@ ^ [Y0: finite1489363574real_n] : ( plus_p585657087real_n @ Y0 @ ( minkow1134813771n_real @ X0 ) )
@ ( t2 @ X0 ) )
@ ( sigma_476185326real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) )
@ ( sigma_1235138647real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) ) )
| ( ( member223413699real_n @ ( t2 @ X0 ) @ ( sigma_1235138647real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) )
!= $true ) ),
inference(cnf_transformation,[],[f872]) ).
thf(f1188,plain,
! [X0: finite964658038_int_n] :
( ( member223413699real_n @ ( t2 @ X0 ) @ ( sigma_1235138647real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) )
= $true ),
inference(cnf_transformation,[],[f370]) ).
thf(f1189,plain,
! [X0: finite964658038_int_n] :
( ( t @ X0 )
= ( vimage1233683625real_n
@ ^ [Y0: finite1489363574real_n] : ( plus_p585657087real_n @ Y0 @ ( minkow1134813771n_real @ X0 ) )
@ ( t2 @ X0 ) ) ),
inference(cnf_transformation,[],[f372]) ).
thf(f1211,plain,
( vimage1233683625real_n
= ( ^ [Y0: finite1489363574real_n > finite1489363574real_n,Y1: set_Fi1058188332real_n] :
( collec321817931real_n
@ ^ [Y2: finite1489363574real_n] : ( member1352538125real_n @ ( Y0 @ Y2 ) @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f404]) ).
thf(f1230,plain,
( t2
= ( ^ [Y0: finite964658038_int_n] : ( inf_in1974387902real_n @ s @ ( r @ Y0 ) ) ) ),
inference(cnf_transformation,[],[f437]) ).
thf(f1254,plain,
( inf_in1974387902real_n
= ( ^ [Y0: set_Fi1058188332real_n,Y1: set_Fi1058188332real_n] :
( collec321817931real_n
@ ^ [Y2: finite1489363574real_n] :
( ( member1352538125real_n @ Y2 @ Y0 )
& ( member1352538125real_n @ Y2 @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f470]) ).
thf(f1399,plain,
( t
= ( ^ [Y0: finite964658038_int_n] :
( image_439535603real_n
@ ^ [Y1: finite1489363574real_n] : ( minus_1037315151real_n @ Y1 @ ( minkow1134813771n_real @ Y0 ) )
@ ( t2 @ Y0 ) ) ) ),
inference(cnf_transformation,[],[f626]) ).
thf(f1500,plain,
! [X0: sigma_1466784463real_n,X1: set_Fi1058188332real_n] :
( ( sigma_476185326real_n @ ( sigma_346513458real_n @ X0 @ X1 ) )
= ( inf_in1974387902real_n @ X1 @ ( sigma_476185326real_n @ X0 ) ) ),
inference(cnf_transformation,[],[f269]) ).
thf(f1507,plain,
! [X0: set_Fi1058188332real_n] :
( ( sigma_476185326real_n @ ( sigma_346513458real_n @ ( comple230862828real_n @ lebesg260170249real_n ) @ X0 ) )
= X0 ),
inference(cnf_transformation,[],[f276]) ).
thf(f1593,plain,
! [X0: $o] :
( ( $true = X0 )
| ( $false = X0 ) ),
inference(cnf_transformation,[],[f850]) ).
thf(f1596,plain,
( $true
!= ( member223413699real_n
@ ( vimage1233683625real_n
@ ^ [Y0: finite1489363574real_n] : ( plus_p585657087real_n @ Y0 @ ( minkow1134813771n_real @ a ) )
@ ( t2 @ a ) )
@ ( sigma_1235138647real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) ) ),
inference(cnf_transformation,[],[f871]) ).
thf(f1599,plain,
( t2
= ( ^ [Y0: finite964658038_int_n] :
( ^ [Y1: set_Fi1058188332real_n,Y2: set_Fi1058188332real_n] :
( collec321817931real_n
@ ^ [Y3: finite1489363574real_n] :
( ( member1352538125real_n @ Y3 @ Y1 )
& ( member1352538125real_n @ Y3 @ Y2 ) ) )
@ s
@ ( r @ Y0 ) ) ) ),
inference(definition_unfolding,[],[f1230,f1254]) ).
thf(f1600,plain,
( t
= ( ^ [Y0: finite964658038_int_n] :
( image_439535603real_n
@ ^ [Y1: finite1489363574real_n] : ( minus_1037315151real_n @ Y1 @ ( minkow1134813771n_real @ Y0 ) )
@ ( ^ [Y1: finite964658038_int_n] :
( ^ [Y2: set_Fi1058188332real_n,Y3: set_Fi1058188332real_n] :
( collec321817931real_n
@ ^ [Y4: finite1489363574real_n] :
( ( member1352538125real_n @ Y4 @ Y2 )
& ( member1352538125real_n @ Y4 @ Y3 ) ) )
@ s
@ ( r @ Y1 ) )
@ Y0 ) ) ) ),
inference(definition_unfolding,[],[f1399,f1599]) ).
thf(f1601,plain,
! [X0: finite964658038_int_n] :
( ( $true
= ( member223413699real_n
@ ( ^ [Y0: set_Fi1058188332real_n,Y1: set_Fi1058188332real_n] :
( collec321817931real_n
@ ^ [Y2: finite1489363574real_n] :
( ( member1352538125real_n @ Y2 @ Y0 )
& ( member1352538125real_n @ Y2 @ Y1 ) ) )
@ ( ^ [Y0: finite1489363574real_n > finite1489363574real_n,Y1: set_Fi1058188332real_n] :
( collec321817931real_n
@ ^ [Y2: finite1489363574real_n] : ( member1352538125real_n @ ( Y0 @ Y2 ) @ Y1 ) )
@ ^ [Y0: finite1489363574real_n] : ( plus_p585657087real_n @ Y0 @ ( minkow1134813771n_real @ X0 ) )
@ ( ^ [Y0: finite964658038_int_n] :
( ^ [Y1: set_Fi1058188332real_n,Y2: set_Fi1058188332real_n] :
( collec321817931real_n
@ ^ [Y3: finite1489363574real_n] :
( ( member1352538125real_n @ Y3 @ Y1 )
& ( member1352538125real_n @ Y3 @ Y2 ) ) )
@ s
@ ( r @ Y0 ) )
@ X0 ) )
@ ( sigma_476185326real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) )
@ ( sigma_1235138647real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) ) )
| ( $true
!= ( member223413699real_n
@ ( ^ [Y0: finite964658038_int_n] :
( ^ [Y1: set_Fi1058188332real_n,Y2: set_Fi1058188332real_n] :
( collec321817931real_n
@ ^ [Y3: finite1489363574real_n] :
( ( member1352538125real_n @ Y3 @ Y1 )
& ( member1352538125real_n @ Y3 @ Y2 ) ) )
@ s
@ ( r @ Y0 ) )
@ X0 )
@ ( sigma_1235138647real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) ) ) ),
inference(definition_unfolding,[],[f1187,f1254,f1211,f1599,f1599]) ).
thf(f1602,plain,
! [X0: finite964658038_int_n] :
( $true
= ( member223413699real_n
@ ( ^ [Y0: finite964658038_int_n] :
( ^ [Y1: set_Fi1058188332real_n,Y2: set_Fi1058188332real_n] :
( collec321817931real_n
@ ^ [Y3: finite1489363574real_n] :
( ( member1352538125real_n @ Y3 @ Y1 )
& ( member1352538125real_n @ Y3 @ Y2 ) ) )
@ s
@ ( r @ Y0 ) )
@ X0 )
@ ( sigma_1235138647real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) ) ),
inference(definition_unfolding,[],[f1188,f1599]) ).
thf(f1603,plain,
! [X0: finite964658038_int_n] :
( ( ^ [Y0: finite1489363574real_n > finite1489363574real_n,Y1: set_Fi1058188332real_n] :
( collec321817931real_n
@ ^ [Y2: finite1489363574real_n] : ( member1352538125real_n @ ( Y0 @ Y2 ) @ Y1 ) )
@ ^ [Y0: finite1489363574real_n] : ( plus_p585657087real_n @ Y0 @ ( minkow1134813771n_real @ X0 ) )
@ ( ^ [Y0: finite964658038_int_n] :
( ^ [Y1: set_Fi1058188332real_n,Y2: set_Fi1058188332real_n] :
( collec321817931real_n
@ ^ [Y3: finite1489363574real_n] :
( ( member1352538125real_n @ Y3 @ Y1 )
& ( member1352538125real_n @ Y3 @ Y2 ) ) )
@ s
@ ( r @ Y0 ) )
@ X0 ) )
= ( ^ [Y0: finite964658038_int_n] :
( image_439535603real_n
@ ^ [Y1: finite1489363574real_n] : ( minus_1037315151real_n @ Y1 @ ( minkow1134813771n_real @ Y0 ) )
@ ( ^ [Y1: finite964658038_int_n] :
( ^ [Y2: set_Fi1058188332real_n,Y3: set_Fi1058188332real_n] :
( collec321817931real_n
@ ^ [Y4: finite1489363574real_n] :
( ( member1352538125real_n @ Y4 @ Y2 )
& ( member1352538125real_n @ Y4 @ Y3 ) ) )
@ s
@ ( r @ Y1 ) )
@ Y0 ) )
@ X0 ) ),
inference(definition_unfolding,[],[f1189,f1600,f1211,f1599]) ).
thf(f1704,plain,
! [X0: sigma_1466784463real_n,X1: set_Fi1058188332real_n] :
( ( sigma_476185326real_n @ ( sigma_346513458real_n @ X0 @ X1 ) )
= ( ^ [Y0: set_Fi1058188332real_n,Y1: set_Fi1058188332real_n] :
( collec321817931real_n
@ ^ [Y2: finite1489363574real_n] :
( ( member1352538125real_n @ Y2 @ Y0 )
& ( member1352538125real_n @ Y2 @ Y1 ) ) )
@ X1
@ ( sigma_476185326real_n @ X0 ) ) ),
inference(definition_unfolding,[],[f1500,f1254]) ).
thf(f1736,plain,
( $true
!= ( member223413699real_n
@ ( ^ [Y0: finite1489363574real_n > finite1489363574real_n,Y1: set_Fi1058188332real_n] :
( collec321817931real_n
@ ^ [Y2: finite1489363574real_n] : ( member1352538125real_n @ ( Y0 @ Y2 ) @ Y1 ) )
@ ^ [Y0: finite1489363574real_n] : ( plus_p585657087real_n @ Y0 @ ( minkow1134813771n_real @ a ) )
@ ( ^ [Y0: finite964658038_int_n] :
( ^ [Y1: set_Fi1058188332real_n,Y2: set_Fi1058188332real_n] :
( collec321817931real_n
@ ^ [Y3: finite1489363574real_n] :
( ( member1352538125real_n @ Y3 @ Y1 )
& ( member1352538125real_n @ Y3 @ Y2 ) ) )
@ s
@ ( r @ Y0 ) )
@ a ) )
@ ( sigma_1235138647real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) ) ),
inference(definition_unfolding,[],[f1596,f1211,f1599]) ).
thf(f1772,plain,
( $true
!= ( member223413699real_n
@ ( collec321817931real_n
@ ^ [Y0: finite1489363574real_n] :
( member1352538125real_n @ ( plus_p585657087real_n @ Y0 @ ( minkow1134813771n_real @ a ) )
@ ( collec321817931real_n
@ ^ [Y1: finite1489363574real_n] :
( ( member1352538125real_n @ Y1 @ s )
& ( member1352538125real_n @ Y1 @ ( r @ a ) ) ) ) ) )
@ ( sigma_1235138647real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) ) ),
inference(beta-eta_normalization,[],[f1736]) ).
thf(f1932,plain,
! [X0: sigma_1466784463real_n,X1: set_Fi1058188332real_n] :
( ( sigma_476185326real_n @ ( sigma_346513458real_n @ X0 @ X1 ) )
= ( collec321817931real_n
@ ^ [Y0: finite1489363574real_n] :
( ( member1352538125real_n @ Y0 @ X1 )
& ( member1352538125real_n @ Y0 @ ( sigma_476185326real_n @ X0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f1704]) ).
thf(f2193,plain,
! [X0: finite964658038_int_n] :
( ( collec321817931real_n
@ ^ [Y0: finite1489363574real_n] :
( member1352538125real_n @ ( plus_p585657087real_n @ Y0 @ ( minkow1134813771n_real @ X0 ) )
@ ( collec321817931real_n
@ ^ [Y1: finite1489363574real_n] :
( ( member1352538125real_n @ Y1 @ s )
& ( member1352538125real_n @ Y1 @ ( r @ X0 ) ) ) ) ) )
= ( image_439535603real_n
@ ^ [Y0: finite1489363574real_n] : ( minus_1037315151real_n @ Y0 @ ( minkow1134813771n_real @ X0 ) )
@ ( collec321817931real_n
@ ^ [Y0: finite1489363574real_n] :
( ( member1352538125real_n @ Y0 @ s )
& ( member1352538125real_n @ Y0 @ ( r @ X0 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f1603]) ).
thf(f2194,plain,
! [X0: finite964658038_int_n] :
( $true
= ( member223413699real_n
@ ( collec321817931real_n
@ ^ [Y0: finite1489363574real_n] :
( ( member1352538125real_n @ Y0 @ s )
& ( member1352538125real_n @ Y0 @ ( r @ X0 ) ) ) )
@ ( sigma_1235138647real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) ) ),
inference(beta-eta_normalization,[],[f1602]) ).
thf(f2195,plain,
! [X0: finite964658038_int_n] :
( ( $true
= ( member223413699real_n
@ ( collec321817931real_n
@ ^ [Y0: finite1489363574real_n] :
( ( member1352538125real_n @ Y0
@ ( collec321817931real_n
@ ^ [Y1: finite1489363574real_n] :
( member1352538125real_n @ ( plus_p585657087real_n @ Y1 @ ( minkow1134813771n_real @ X0 ) )
@ ( collec321817931real_n
@ ^ [Y2: finite1489363574real_n] :
( ( member1352538125real_n @ Y2 @ s )
& ( member1352538125real_n @ Y2 @ ( r @ X0 ) ) ) ) ) ) )
& ( member1352538125real_n @ Y0 @ ( sigma_476185326real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) ) ) )
@ ( sigma_1235138647real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) ) )
| ( $true
!= ( member223413699real_n
@ ( collec321817931real_n
@ ^ [Y0: finite1489363574real_n] :
( ( member1352538125real_n @ Y0 @ s )
& ( member1352538125real_n @ Y0 @ ( r @ X0 ) ) ) )
@ ( sigma_1235138647real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) ) ) ),
inference(beta-eta_normalization,[],[f1601]) ).
thf(f2244,plain,
! [X0: finite964658038_int_n] :
( ( $true
= ( member223413699real_n
@ ( sigma_476185326real_n
@ ( sigma_346513458real_n @ ( comple230862828real_n @ lebesg260170249real_n )
@ ( collec321817931real_n
@ ^ [Y0: finite1489363574real_n] :
( member1352538125real_n @ ( plus_p585657087real_n @ Y0 @ ( minkow1134813771n_real @ X0 ) )
@ ( collec321817931real_n
@ ^ [Y1: finite1489363574real_n] :
( ( member1352538125real_n @ Y1 @ s )
& ( member1352538125real_n @ Y1 @ ( r @ X0 ) ) ) ) ) ) ) )
@ ( sigma_1235138647real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) ) )
| ( $true
!= ( member223413699real_n
@ ( collec321817931real_n
@ ^ [Y0: finite1489363574real_n] :
( ( member1352538125real_n @ Y0 @ s )
& ( member1352538125real_n @ Y0 @ ( r @ X0 ) ) ) )
@ ( sigma_1235138647real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) ) ) ),
inference(forward_demodulation,[],[f2195,f1932]) ).
thf(f2258,plain,
! [X0: finite964658038_int_n] :
( ( $true
= ( member223413699real_n
@ ( collec321817931real_n
@ ^ [Y0: finite1489363574real_n] :
( member1352538125real_n @ ( plus_p585657087real_n @ Y0 @ ( minkow1134813771n_real @ X0 ) )
@ ( collec321817931real_n
@ ^ [Y1: finite1489363574real_n] :
( ( member1352538125real_n @ Y1 @ s )
& ( member1352538125real_n @ Y1 @ ( r @ X0 ) ) ) ) ) )
@ ( sigma_1235138647real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) ) )
| ( $true
!= ( member223413699real_n
@ ( collec321817931real_n
@ ^ [Y0: finite1489363574real_n] :
( ( member1352538125real_n @ Y0 @ s )
& ( member1352538125real_n @ Y0 @ ( r @ X0 ) ) ) )
@ ( sigma_1235138647real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) ) ) ),
inference(forward_demodulation,[],[f2244,f1507]) ).
thf(f2262,plain,
! [X0: finite964658038_int_n] :
( ( $true
= ( member223413699real_n
@ ( image_439535603real_n
@ ^ [Y0: finite1489363574real_n] : ( minus_1037315151real_n @ Y0 @ ( minkow1134813771n_real @ X0 ) )
@ ( collec321817931real_n
@ ^ [Y0: finite1489363574real_n] :
( ( member1352538125real_n @ Y0 @ s )
& ( member1352538125real_n @ Y0 @ ( r @ X0 ) ) ) ) )
@ ( sigma_1235138647real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) ) )
| ( $true
!= ( member223413699real_n
@ ( collec321817931real_n
@ ^ [Y0: finite1489363574real_n] :
( ( member1352538125real_n @ Y0 @ s )
& ( member1352538125real_n @ Y0 @ ( r @ X0 ) ) ) )
@ ( sigma_1235138647real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) ) ) ),
inference(forward_demodulation,[],[f2258,f2193]) ).
thf(f2263,plain,
! [X0: finite964658038_int_n] :
( ( $true != $true )
| ( $true
= ( member223413699real_n
@ ( image_439535603real_n
@ ^ [Y0: finite1489363574real_n] : ( minus_1037315151real_n @ Y0 @ ( minkow1134813771n_real @ X0 ) )
@ ( collec321817931real_n
@ ^ [Y0: finite1489363574real_n] :
( ( member1352538125real_n @ Y0 @ s )
& ( member1352538125real_n @ Y0 @ ( r @ X0 ) ) ) ) )
@ ( sigma_1235138647real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) ) ) ),
inference(forward_demodulation,[],[f2262,f2194]) ).
thf(f2264,plain,
! [X0: finite964658038_int_n] :
( $true
= ( member223413699real_n
@ ( image_439535603real_n
@ ^ [Y0: finite1489363574real_n] : ( minus_1037315151real_n @ Y0 @ ( minkow1134813771n_real @ X0 ) )
@ ( collec321817931real_n
@ ^ [Y0: finite1489363574real_n] :
( ( member1352538125real_n @ Y0 @ s )
& ( member1352538125real_n @ Y0 @ ( r @ X0 ) ) ) ) )
@ ( sigma_1235138647real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) ) ),
inference(trivial_inequality_removal,[],[f2263]) ).
thf(f2290,plain,
( ( $true != $true )
| ( $false
= ( member223413699real_n
@ ( collec321817931real_n
@ ^ [Y0: finite1489363574real_n] :
( member1352538125real_n @ ( plus_p585657087real_n @ Y0 @ ( minkow1134813771n_real @ a ) )
@ ( collec321817931real_n
@ ^ [Y1: finite1489363574real_n] :
( ( member1352538125real_n @ Y1 @ s )
& ( member1352538125real_n @ Y1 @ ( r @ a ) ) ) ) ) )
@ ( sigma_1235138647real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) ) ) ),
inference(constrained_superposition,[],[f1772,f1593]) ).
thf(f2291,plain,
( $false
= ( member223413699real_n
@ ( collec321817931real_n
@ ^ [Y0: finite1489363574real_n] :
( member1352538125real_n @ ( plus_p585657087real_n @ Y0 @ ( minkow1134813771n_real @ a ) )
@ ( collec321817931real_n
@ ^ [Y1: finite1489363574real_n] :
( ( member1352538125real_n @ Y1 @ s )
& ( member1352538125real_n @ Y1 @ ( r @ a ) ) ) ) ) )
@ ( sigma_1235138647real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) ) ),
inference(trivial_inequality_removal,[],[f2290]) ).
thf(f2293,plain,
( $false
= ( member223413699real_n
@ ( image_439535603real_n
@ ^ [Y0: finite1489363574real_n] : ( minus_1037315151real_n @ Y0 @ ( minkow1134813771n_real @ a ) )
@ ( collec321817931real_n
@ ^ [Y0: finite1489363574real_n] :
( ( member1352538125real_n @ Y0 @ s )
& ( member1352538125real_n @ Y0 @ ( r @ a ) ) ) ) )
@ ( sigma_1235138647real_n @ ( comple230862828real_n @ lebesg260170249real_n ) ) ) ),
inference(forward_demodulation,[],[f2291,f2193]) ).
thf(f2295,plain,
$true = $false,
inference(forward_demodulation,[],[f2293,f2264]) ).
thf(f2296,plain,
$false,
inference(trivial_inequality_removal,[],[f2295]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP116^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n007.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 19:53:56 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.58/0.51 % (3847293)Will run a generic schedule for satisfiability detection.
% 1.58/0.51 % (3847305)% WARNING: option uhcvi not known.
% 1.58/0.51 % (3847307)dis+10_1_sil=32000:sp=arity:random_seed=123008412:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.58/0.51 % (3847305)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2734355105:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.58/0.51 % (3847304)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4228895242_2999 on theBenchmark for (2999ds/0Mi)
% 1.58/0.51 % (3847305)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.58/0.51 % (3847307)Instruction limit reached!
% 1.58/0.51 % (3847307)------------------------------
% 1.58/0.51 % (3847307)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.58/0.51 % (3847307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.58/0.51 % (3847307)CaDiCaL version: 2.1.3
% 1.58/0.51 % (3847307)Termination reason: Instruction limit
% 1.58/0.51 % (3847307)Termination phase: Property scanning
% 1.58/0.51 % (3847307)Time elapsed: 0.036 s
% 1.58/0.51 % (3847307)Peak memory usage: 11 MB
% 1.58/0.51 % (3847307)Instructions burned: 106 (million)
% 1.58/0.51 % (3847318)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=379365018:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.58/0.51 % (3847309)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2208890017:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.58/0.51 % (3847306)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3232692824:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.58/0.51 % (3847310)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1158195006:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.58/0.51 % (3847308)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1873101099:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.58/0.51 % Exception at run slice level
% 1.58/0.51 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.58/0.51 % (3847305)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 1.58/0.51 % (3847308)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.58/0.51 % (3847328)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1453764885:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.58/0.51 % (3847308)Instruction limit reached!
% 1.58/0.51 % (3847308)------------------------------
% 1.58/0.51 % (3847308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.58/0.51 % (3847308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.58/0.51 % (3847308)CaDiCaL version: 2.1.3
% 1.58/0.51 % (3847308)Termination reason: Instruction limit
% 1.58/0.51 % (3847308)Termination phase: Property scanning
% 1.58/0.51 % (3847308)Time elapsed: 0.045 s
% 1.58/0.51 % (3847308)Peak memory usage: 11 MB
% 1.58/0.51 % (3847308)Instructions burned: 119 (million)
% 1.58/0.51 % (3847331)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=913630359:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.58/0.51 % (3847309)Instruction limit reached!
% 1.58/0.51 % (3847309)------------------------------
% 1.58/0.51 % (3847309)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.58/0.51 % (3847309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.58/0.51 % (3847309)CaDiCaL version: 2.1.3
% 1.58/0.51 % (3847309)Termination reason: Instruction limit
% 1.58/0.51 % (3847309)Termination phase: Saturation
% 1.58/0.51 % (3847309)Time elapsed: 0.071 s
% 1.58/0.51 % Exception at run slice level
% 1.58/0.51 % (3847309)Peak memory usage: 12 MB
% 1.58/0.51 % (3847309)Instructions burned: 133 (million)
% 1.58/0.51 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.58/0.51 % (3847331)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.58/0.51 % (3847310)Instruction limit reached!
% 1.58/0.51 % (3847310)------------------------------
% 1.58/0.51 % (3847310)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.58/0.51 % (3847310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.58/0.51 % (3847310)CaDiCaL version: 2.1.3
% 1.58/0.51 % (3847310)Termination reason: Instruction limit
% 1.58/0.51 % (3847310)Termination phase: Saturation
% 1.58/0.51 % (3847310)Time elapsed: 0.086 s
% 1.58/0.51 % (3847310)Peak memory usage: 13 MB
% 1.58/0.51 % (3847310)Instructions burned: 160 (million)
% 1.58/0.51 % (3847331)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 1.58/0.51 % (3847335)ott-21_1_sil=16000:fs=off:random_seed=167674535:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.58/0.51 % (3847336)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2205161232:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.58/0.51 % (3847328)Instruction limit reached!
% 1.58/0.51 % (3847328)------------------------------
% 1.58/0.51 % (3847328)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.58/0.51 % (3847328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.58/0.51 % (3847328)CaDiCaL version: 2.1.3
% 1.58/0.51 % (3847328)Termination reason: Instruction limit
% 1.58/0.51 % (3847328)Termination phase: Saturation
% 1.58/0.51 % (3847328)Time elapsed: 0.056 s
% 1.58/0.51 % (3847328)Peak memory usage: 13 MB
% 1.58/0.51 % (3847328)Instructions burned: 131 (million)
% 1.58/0.51 % (3847337)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2416696980:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 1.58/0.51 % (3847340)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2192971444:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 1.58/0.51 % Exception at run slice level
% 1.58/0.51 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.58/0.51 % (3847335) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3847293-3847335"...
% 1.58/0.51 % (3847335)...printing done.
% 1.58/0.51 % (3847335)Refutation found. Thanks to Tanya!
% 1.58/0.51 % SZS status Theorem for theBenchmark
% 1.58/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 1.58/0.51 % (3847335)------------------------------
% 1.58/0.51 % (3847335)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.58/0.51 % (3847335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.58/0.51 % (3847335)CaDiCaL version: 2.1.3
% 1.58/0.51 % (3847335)Termination reason: Refutation
% 1.58/0.51 % (3847335)Time elapsed: 0.077 s
% 1.58/0.51 % (3847335)Peak memory usage: 13 MB
% 1.58/0.51 % (3847335)Instructions burned: 177 (million)
% 1.58/0.51 % (3847293)Success in time 0.281 s
% 1.58/0.51 % Vampire exiting
%------------------------------------------------------------------------------