%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP181^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n005.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 08:11:00 AM UTC 2026
% Result : Theorem 0.21s 0.37s
% Output : Refutation 0.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 73 ( 32 equ; 0 cnn)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 105 ( 17 ~; 7 |; 0 &; 78 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 36 ( 35 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 659 ( 656 usr; 13 con; 0-7 aty)
% Number of variables : 35 ( 8 ^; 27 !; 0 ?; 35 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
produc1217648014ion_pi: $tType ).
thf(type_def_6,type,
produc1961110975reeRes: $tType ).
thf(type_def_7,type,
set_Pr100209225_pi_pi: $tType ).
thf(type_def_8,type,
produc1443308494i_name: $tType ).
thf(type_def_9,type,
produc1559976732_pi_pi: $tType ).
thf(type_def_10,type,
produc53907987_pi_pi: $tType ).
thf(type_def_11,type,
set_Pr1569510577ion_pi: $tType ).
thf(type_def_12,type,
produc1462499409ion_pi: $tType ).
thf(type_def_13,type,
set_Pr305743074reeRes: $tType ).
thf(type_def_14,type,
noptio1575811931_pi_pi: $tType ).
thf(type_def_15,type,
set_Pr1294453099i_name: $tType ).
thf(type_def_16,type,
produc1834551554reeRes: $tType ).
thf(type_def_17,type,
set_Pr1694908217_pi_pi: $tType ).
thf(type_def_18,type,
set_Pr1654044726_pi_pi: $tType ).
thf(type_def_19,type,
produc405342261i_name: $tType ).
thf(type_def_20,type,
produc629157763_pi_pi: $tType ).
thf(type_def_21,type,
produc1141751126_pi_pi: $tType ).
thf(type_def_22,type,
produc1357834675reeRes: $tType ).
thf(type_def_23,type,
produc2052722628s_name: $tType ).
thf(type_def_24,type,
produc2008547984reeRes: $tType ).
thf(type_def_25,type,
produc992857746Res_pi: $tType ).
thf(type_def_26,type,
produc649380958reeRes: $tType ).
thf(type_def_27,type,
set_Pr1834926343_pi_pi: $tType ).
thf(type_def_28,type,
produc367475239e_name: $tType ).
thf(type_def_29,type,
product_prod_pi_name: $tType ).
thf(type_def_30,type,
product_prod_name_pi: $tType ).
thf(type_def_31,type,
product_prod_pi_pi: $tType ).
thf(type_def_32,type,
noption_Late_freeRes: $tType ).
thf(type_def_33,type,
noption_name: $tType ).
thf(type_def_34,type,
noption_pi: $tType ).
thf(type_def_35,type,
late_residual: $tType ).
thf(type_def_36,type,
late_subject: $tType ).
thf(type_def_37,type,
late_freeRes: $tType ).
thf(type_def_38,type,
name: $tType ).
thf(type_def_39,type,
pi: $tType ).
thf(type_def_40,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
input: name > name > pi > pi ).
thf(func_def_1,type,
mismatch: name > name > pi > pi ).
thf(func_def_2,type,
output: name > name > pi > pi ).
thf(func_def_3,type,
par: pi > pi > pi ).
thf(func_def_4,type,
piNil: pi ).
thf(func_def_5,type,
res: name > pi > pi ).
thf(func_def_6,type,
sum: pi > pi > pi ).
thf(func_def_7,type,
tau: pi > pi ).
thf(func_def_8,type,
subs: pi > name > name > pi ).
thf(func_def_9,type,
late_OutputR: name > name > late_freeRes ).
thf(func_def_10,type,
late_TauR: late_freeRes ).
thf(func_def_11,type,
late_BoundR: late_subject > name > pi > late_residual ).
thf(func_def_12,type,
late_FreeR: late_freeRes > pi > late_residual ).
thf(func_def_13,type,
late_BoundOutputS: name > late_subject ).
thf(func_def_14,type,
late_InputS: name > late_subject ).
thf(func_def_15,type,
late_transitions: pi > late_residual > $o ).
thf(func_def_16,type,
abs_fun_name_name: name > name > name > noption_name ).
thf(func_def_17,type,
abs_fun_name_pi: name > pi > name > noption_pi ).
thf(func_def_18,type,
abs_fu681348580reeRes: name > late_freeRes > name > noption_Late_freeRes ).
thf(func_def_19,type,
abs_fu385186459_pi_pi: name > produc1141751126_pi_pi > name > noptio1575811931_pi_pi ).
thf(func_def_20,type,
fresh_1093033124n_name: name > ( name > noption_name ) > $o ).
thf(func_def_21,type,
fresh_543891186ion_pi: name > ( name > noption_pi ) > $o ).
thf(func_def_22,type,
fresh_785364841reeRes: name > ( name > noption_Late_freeRes ) > $o ).
thf(func_def_23,type,
fresh_2065563522_pi_pi: name > ( name > noptio1575811931_pi_pi ) > $o ).
thf(func_def_24,type,
fresh_name_name: name > name > $o ).
thf(func_def_25,type,
fresh_name_pi: name > pi > $o ).
thf(func_def_26,type,
fresh_1641682979reeRes: name > late_freeRes > $o ).
thf(func_def_27,type,
fresh_81631222sidual: name > late_residual > $o ).
thf(func_def_28,type,
fresh_717452603ubject: name > late_subject > $o ).
thf(func_def_29,type,
fresh_225680151ion_pi: name > produc1462499409ion_pi > $o ).
thf(func_def_30,type,
fresh_453496559i_name: name > produc405342261i_name > $o ).
thf(func_def_31,type,
fresh_253309757_pi_pi: name > produc629157763_pi_pi > $o ).
thf(func_def_32,type,
fresh_1711070152reeRes: name > produc1834551554reeRes > $o ).
thf(func_def_33,type,
fresh_1513292180i_name: name > produc1443308494i_name > $o ).
thf(func_def_34,type,
fresh_1335311330_pi_pi: name > produc1559976732_pi_pi > $o ).
thf(func_def_35,type,
fresh_1729533561reeRes: name > produc1961110975reeRes > $o ).
thf(func_def_36,type,
fresh_975559885_pi_pi: name > produc53907987_pi_pi > $o ).
thf(func_def_37,type,
fresh_441084397e_name: name > produc367475239e_name > $o ).
thf(func_def_38,type,
fresh_93646139ame_pi: name > product_prod_name_pi > $o ).
thf(func_def_39,type,
fresh_1963366730reeRes: name > produc2008547984reeRes > $o ).
thf(func_def_40,type,
fresh_1376661020_pi_pi: name > produc1141751126_pi_pi > $o ).
thf(func_def_41,type,
fresh_261416607i_name: name > product_prod_pi_name > $o ).
thf(func_def_42,type,
fresh_1627595501_pi_pi: name > product_prod_pi_pi > $o ).
thf(func_def_43,type,
fresh_1504024600reeRes: name > produc649380958reeRes > $o ).
thf(func_def_44,type,
fresh_2007541374s_name: name > produc2052722628s_name > $o ).
thf(func_def_45,type,
fresh_1847501388Res_pi: name > produc992857746Res_pi > $o ).
thf(func_def_46,type,
fresh_493808761reeRes: name > produc1357834675reeRes > $o ).
thf(func_def_47,type,
ord_le1032043601ion_pi: set_Pr1569510577ion_pi > set_Pr1569510577ion_pi > $o ).
thf(func_def_48,type,
ord_le2082425291i_name: set_Pr1294453099i_name > set_Pr1294453099i_name > $o ).
thf(func_def_49,type,
ord_le1854926745_pi_pi: set_Pr1694908217_pi_pi > set_Pr1694908217_pi_pi > $o ).
thf(func_def_50,type,
ord_le1762471042reeRes: set_Pr305743074reeRes > set_Pr305743074reeRes > $o ).
thf(func_def_51,type,
ord_le211833513_pi_pi: set_Pr100209225_pi_pi > set_Pr100209225_pi_pi > $o ).
thf(func_def_52,type,
ord_le797229014_pi_pi: set_Pr1654044726_pi_pi > set_Pr1654044726_pi_pi > $o ).
thf(func_def_53,type,
ord_le630093991_pi_pi: set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi > $o ).
thf(func_def_54,type,
produc1342893193ion_pi: ( name > noption_pi ) > ( name > noption_pi ) > produc1462499409ion_pi ).
thf(func_def_55,type,
produc540578151i_name: ( name > noption_pi ) > name > produc405342261i_name ).
thf(func_def_56,type,
produc1820286517_pi_pi: ( name > noption_pi ) > pi > produc629157763_pi_pi ).
thf(func_def_57,type,
produc1505598906reeRes: ( name > noption_pi ) > late_freeRes > produc1834551554reeRes ).
thf(func_def_58,type,
produc674047040ion_pi: ( name > noption_pi ) > produc1462499409ion_pi > produc1217648014ion_pi ).
thf(func_def_59,type,
produc1024533510i_name: ( name > noption_pi ) > produc405342261i_name > produc1443308494i_name ).
thf(func_def_60,type,
produc1189045204_pi_pi: ( name > noption_pi ) > produc629157763_pi_pi > produc1559976732_pi_pi ).
thf(func_def_61,type,
produc703114481reeRes: ( name > noption_pi ) > produc1834551554reeRes > produc1961110975reeRes ).
thf(func_def_62,type,
produc1275980869_pi_pi: ( name > noption_pi ) > produc1141751126_pi_pi > produc53907987_pi_pi ).
thf(func_def_63,type,
produc1570949143e_name: name > name > produc367475239e_name ).
thf(func_def_64,type,
product_Pair_name_pi: name > pi > product_prod_name_pi ).
thf(func_def_65,type,
produc1531804426reeRes: name > late_freeRes > produc2008547984reeRes ).
thf(func_def_66,type,
produc235456326_pi_pi: name > product_prod_pi_pi > produc1141751126_pi_pi ).
thf(func_def_67,type,
product_Pair_pi_name: pi > name > product_prod_pi_name ).
thf(func_def_68,type,
product_Pair_pi_pi: pi > pi > product_prod_pi_pi ).
thf(func_def_69,type,
produc1638681944reeRes: pi > late_freeRes > produc649380958reeRes ).
thf(func_def_70,type,
produc1701355766s_name: late_freeRes > name > produc2052722628s_name ).
thf(func_def_71,type,
produc1177552196Res_pi: late_freeRes > pi > produc992857746Res_pi ).
thf(func_def_72,type,
produc1244821099reeRes: late_freeRes > late_freeRes > produc1357834675reeRes ).
thf(func_def_73,type,
eqvt_pi: set_Pr1834926343_pi_pi > $o ).
thf(func_def_74,type,
id_name_noption_pi: set_Pr1569510577ion_pi ).
thf(func_def_75,type,
id_pi: set_Pr1834926343_pi_pi ).
thf(func_def_76,type,
collec1051790738_pi_pi: ( product_prod_pi_pi > $o ) > set_Pr1834926343_pi_pi ).
thf(func_def_77,type,
strong2129052853vative: pi > pi > late_subject > name > set_Pr1834926343_pi_pi > $o ).
thf(func_def_78,type,
strong743114133lation: pi > set_Pr1834926343_pi_pi > pi > $o ).
thf(func_def_79,type,
member1632198138ion_pi: produc1462499409ion_pi > set_Pr1569510577ion_pi > $o ).
thf(func_def_80,type,
member1353687244i_name: produc405342261i_name > set_Pr1294453099i_name > $o ).
thf(func_def_81,type,
member772629402_pi_pi: produc629157763_pi_pi > set_Pr1694908217_pi_pi > $o ).
thf(func_def_82,type,
member2081207979reeRes: produc1834551554reeRes > set_Pr305743074reeRes > $o ).
thf(func_def_83,type,
member695660714_pi_pi: produc53907987_pi_pi > set_Pr100209225_pi_pi > $o ).
thf(func_def_84,type,
member540268543_pi_pi: produc1141751126_pi_pi > set_Pr1654044726_pi_pi > $o ).
thf(func_def_85,type,
member558706512_pi_pi: product_prod_pi_pi > set_Pr1834926343_pi_pi > $o ).
thf(func_def_86,type,
p: pi ).
thf(func_def_87,type,
pq: pi ).
thf(func_def_88,type,
q: pi ).
thf(func_def_89,type,
rel: set_Pr1834926343_pi_pi ).
thf(func_def_90,type,
a: late_subject ).
thf(func_def_91,type,
x: name ).
thf(func_def_92,type,
y: name ).
thf(func_def_96,type,
vAND: $o > $o > $o ).
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,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_101,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_102,type,
vIMP: $o > $o > $o ).
thf(func_def_103,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_104,type,
vOR: $o > $o > $o ).
thf(func_def_105,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_106,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_107,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_108,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_109,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_110,type,
vNOT: $o > $o ).
thf(func_def_111,type,
sP0: pi > pi > late_subject > name > pi > $o ).
thf(func_def_112,type,
sP1: pi > late_freeRes > pi > set_Pr1834926343_pi_pi > $o ).
thf(func_def_113,type,
sP2: pi > produc1141751126_pi_pi > pi > set_Pr1834926343_pi_pi > $o ).
thf(func_def_114,type,
sP3: pi > name > pi > set_Pr1834926343_pi_pi > $o ).
thf(func_def_115,type,
sP4: pi > pi > pi > set_Pr1834926343_pi_pi > $o ).
thf(func_def_116,type,
sP5: name > pi > late_residual > $o ).
thf(func_def_117,type,
sP6: name > pi > late_residual > $o ).
thf(func_def_118,type,
sP7: pi > late_freeRes > pi > name > set_Pr1834926343_pi_pi > $o ).
thf(func_def_119,type,
sP8: pi > pi > name > set_Pr1834926343_pi_pi > $o ).
thf(func_def_120,type,
sP9: pi > produc1141751126_pi_pi > pi > name > set_Pr1834926343_pi_pi > $o ).
thf(func_def_121,type,
sP10: pi > pi > name > set_Pr1834926343_pi_pi > $o ).
thf(func_def_122,type,
sP11: pi > name > pi > name > set_Pr1834926343_pi_pi > $o ).
thf(func_def_123,type,
sP12: pi > pi > name > set_Pr1834926343_pi_pi > $o ).
thf(func_def_124,type,
sP13: pi > pi > pi > name > set_Pr1834926343_pi_pi > $o ).
thf(func_def_125,type,
sP14: pi > pi > name > set_Pr1834926343_pi_pi > $o ).
thf(func_def_126,type,
sP15: name > pi > late_subject > name > pi > $o ).
thf(func_def_127,type,
sK16: ( product_prod_pi_pi > $o ) > pi ).
thf(func_def_128,type,
sK17: ( product_prod_pi_pi > $o ) > pi ).
thf(func_def_129,type,
sK18: ( produc1141751126_pi_pi > $o ) > name ).
thf(func_def_130,type,
sK19: ( produc1141751126_pi_pi > $o ) > product_prod_pi_pi ).
thf(func_def_131,type,
sK20: ( produc1834551554reeRes > $o ) > name > noption_pi ).
thf(func_def_132,type,
sK21: ( produc1834551554reeRes > $o ) > late_freeRes ).
thf(func_def_133,type,
sK22: ( produc405342261i_name > $o ) > name > noption_pi ).
thf(func_def_134,type,
sK23: ( produc405342261i_name > $o ) > name ).
thf(func_def_135,type,
sK24: ( produc629157763_pi_pi > $o ) > name > noption_pi ).
thf(func_def_136,type,
sK25: ( produc629157763_pi_pi > $o ) > pi ).
thf(func_def_137,type,
sK26: ( produc1462499409ion_pi > $o ) > name > noption_pi ).
thf(func_def_138,type,
sK27: ( produc1462499409ion_pi > $o ) > name > noption_pi ).
thf(func_def_139,type,
sK28: ( produc53907987_pi_pi > $o ) > name > noption_pi ).
thf(func_def_140,type,
sK29: ( produc53907987_pi_pi > $o ) > produc1141751126_pi_pi ).
thf(func_def_141,type,
sK30: ( produc1961110975reeRes > $o ) > name > noption_pi ).
thf(func_def_142,type,
sK31: ( produc1961110975reeRes > $o ) > produc1834551554reeRes ).
thf(func_def_143,type,
sK32: ( produc1443308494i_name > $o ) > name > noption_pi ).
thf(func_def_144,type,
sK33: ( produc1443308494i_name > $o ) > produc405342261i_name ).
thf(func_def_145,type,
sK34: ( produc1559976732_pi_pi > $o ) > name > noption_pi ).
thf(func_def_146,type,
sK35: ( produc1559976732_pi_pi > $o ) > produc629157763_pi_pi ).
thf(func_def_147,type,
sK36: product_prod_pi_pi > pi ).
thf(func_def_148,type,
sK37: product_prod_pi_pi > pi ).
thf(func_def_149,type,
sK38: produc1141751126_pi_pi > name ).
thf(func_def_150,type,
sK39: produc1141751126_pi_pi > product_prod_pi_pi ).
thf(func_def_151,type,
sK40: produc1834551554reeRes > name > noption_pi ).
thf(func_def_152,type,
sK41: produc1834551554reeRes > late_freeRes ).
thf(func_def_153,type,
sK42: produc405342261i_name > name > noption_pi ).
thf(func_def_154,type,
sK43: produc405342261i_name > name ).
thf(func_def_155,type,
sK44: produc629157763_pi_pi > name > noption_pi ).
thf(func_def_156,type,
sK45: produc629157763_pi_pi > pi ).
thf(func_def_157,type,
sK46: produc1462499409ion_pi > name > noption_pi ).
thf(func_def_158,type,
sK47: produc1462499409ion_pi > name > noption_pi ).
thf(func_def_159,type,
sK48: produc53907987_pi_pi > name > noption_pi ).
thf(func_def_160,type,
sK49: produc53907987_pi_pi > produc1141751126_pi_pi ).
thf(func_def_161,type,
sK50: produc1961110975reeRes > name > noption_pi ).
thf(func_def_162,type,
sK51: produc1961110975reeRes > produc1834551554reeRes ).
thf(func_def_163,type,
sK52: produc1443308494i_name > name > noption_pi ).
thf(func_def_164,type,
sK53: produc1443308494i_name > produc405342261i_name ).
thf(func_def_165,type,
sK54: produc1559976732_pi_pi > name > noption_pi ).
thf(func_def_166,type,
sK55: produc1559976732_pi_pi > produc629157763_pi_pi ).
thf(func_def_167,type,
sK56: ( product_prod_pi_pi > $o ) > pi ).
thf(func_def_168,type,
sK57: ( product_prod_pi_pi > $o ) > pi ).
thf(func_def_169,type,
sK58: ( produc1141751126_pi_pi > $o ) > name ).
thf(func_def_170,type,
sK59: ( produc1141751126_pi_pi > $o ) > product_prod_pi_pi ).
thf(func_def_171,type,
sK60: ( produc1834551554reeRes > $o ) > name > noption_pi ).
thf(func_def_172,type,
sK61: ( produc1834551554reeRes > $o ) > late_freeRes ).
thf(func_def_173,type,
sK62: ( produc405342261i_name > $o ) > name > noption_pi ).
thf(func_def_174,type,
sK63: ( produc405342261i_name > $o ) > name ).
thf(func_def_175,type,
sK64: ( produc629157763_pi_pi > $o ) > name > noption_pi ).
thf(func_def_176,type,
sK65: ( produc629157763_pi_pi > $o ) > pi ).
thf(func_def_177,type,
sK66: ( produc1462499409ion_pi > $o ) > name > noption_pi ).
thf(func_def_178,type,
sK67: ( produc1462499409ion_pi > $o ) > name > noption_pi ).
thf(func_def_179,type,
sK68: ( produc53907987_pi_pi > $o ) > name > noption_pi ).
thf(func_def_180,type,
sK69: ( produc53907987_pi_pi > $o ) > produc1141751126_pi_pi ).
thf(func_def_181,type,
sK70: ( produc1961110975reeRes > $o ) > name > noption_pi ).
thf(func_def_182,type,
sK71: ( produc1961110975reeRes > $o ) > produc1834551554reeRes ).
thf(func_def_183,type,
sK72: ( produc1443308494i_name > $o ) > name > noption_pi ).
thf(func_def_184,type,
sK73: ( produc1443308494i_name > $o ) > produc405342261i_name ).
thf(func_def_185,type,
sK74: ( produc1559976732_pi_pi > $o ) > name > noption_pi ).
thf(func_def_186,type,
sK75: ( produc1559976732_pi_pi > $o ) > produc629157763_pi_pi ).
thf(func_def_187,type,
sK76: produc1217648014ion_pi > name > noption_pi ).
thf(func_def_188,type,
sK77: produc1217648014ion_pi > produc1462499409ion_pi ).
thf(func_def_189,type,
sK78: produc1141751126_pi_pi > name ).
thf(func_def_190,type,
sK79: produc1141751126_pi_pi > product_prod_pi_pi ).
thf(func_def_191,type,
sK80: product_prod_pi_pi > pi ).
thf(func_def_192,type,
sK81: product_prod_pi_pi > pi ).
thf(func_def_193,type,
sK82: produc1834551554reeRes > name > noption_pi ).
thf(func_def_194,type,
sK83: produc1834551554reeRes > late_freeRes ).
thf(func_def_195,type,
sK84: produc53907987_pi_pi > name > noption_pi ).
thf(func_def_196,type,
sK85: produc53907987_pi_pi > produc1141751126_pi_pi ).
thf(func_def_197,type,
sK86: produc405342261i_name > name > noption_pi ).
thf(func_def_198,type,
sK87: produc405342261i_name > name ).
thf(func_def_199,type,
sK88: produc629157763_pi_pi > name > noption_pi ).
thf(func_def_200,type,
sK89: produc629157763_pi_pi > pi ).
thf(func_def_201,type,
sK90: produc1462499409ion_pi > name > noption_pi ).
thf(func_def_202,type,
sK91: produc1462499409ion_pi > name > noption_pi ).
thf(func_def_203,type,
sK92: late_freeRes > name ).
thf(func_def_204,type,
sK93: produc1141751126_pi_pi > name ).
thf(func_def_205,type,
sK94: name > name ).
thf(func_def_206,type,
sK95: pi > name ).
thf(func_def_207,type,
sK96: ( produc53907987_pi_pi > $o ) > name > noption_pi ).
thf(func_def_208,type,
sK97: ( produc53907987_pi_pi > $o ) > name ).
thf(func_def_209,type,
sK98: ( produc53907987_pi_pi > $o ) > pi ).
thf(func_def_210,type,
sK99: ( produc53907987_pi_pi > $o ) > pi ).
thf(func_def_211,type,
sK100: ( produc1141751126_pi_pi > $o ) > name ).
thf(func_def_212,type,
sK101: ( produc1141751126_pi_pi > $o ) > pi ).
thf(func_def_213,type,
sK102: ( produc1141751126_pi_pi > $o ) > pi ).
thf(func_def_214,type,
sK103: ( produc53907987_pi_pi > $o ) > name > noption_pi ).
thf(func_def_215,type,
sK104: ( produc53907987_pi_pi > $o ) > name ).
thf(func_def_216,type,
sK105: ( produc53907987_pi_pi > $o ) > product_prod_pi_pi ).
thf(func_def_217,type,
sK106: produc53907987_pi_pi > name > noption_pi ).
thf(func_def_218,type,
sK107: produc53907987_pi_pi > name ).
thf(func_def_219,type,
sK108: produc53907987_pi_pi > pi ).
thf(func_def_220,type,
sK109: produc53907987_pi_pi > pi ).
thf(func_def_221,type,
sK110: produc1141751126_pi_pi > name ).
thf(func_def_222,type,
sK111: produc1141751126_pi_pi > pi ).
thf(func_def_223,type,
sK112: produc1141751126_pi_pi > pi ).
thf(func_def_224,type,
sK113: produc53907987_pi_pi > name > noption_pi ).
thf(func_def_225,type,
sK114: produc53907987_pi_pi > name ).
thf(func_def_226,type,
sK115: produc53907987_pi_pi > product_prod_pi_pi ).
thf(func_def_227,type,
sK116: pi > pi > late_subject > name > pi > pi ).
thf(func_def_228,type,
sK117: pi > pi > late_subject > name > pi > late_subject ).
thf(func_def_229,type,
sK118: pi > pi > late_subject > name > pi > name ).
thf(func_def_230,type,
sK119: pi > pi > late_subject > name > pi > pi ).
thf(func_def_231,type,
sK120: pi > pi > late_subject > name > pi > pi ).
thf(func_def_232,type,
sK121: pi > name > late_subject > pi > pi > pi ).
thf(func_def_233,type,
sK122: pi > name > late_subject > pi > pi > late_subject ).
thf(func_def_234,type,
sK123: pi > name > late_subject > pi > pi > name ).
thf(func_def_235,type,
sK124: pi > name > late_subject > pi > pi > pi ).
thf(func_def_236,type,
sK125: pi > name > late_subject > pi > pi > pi ).
thf(func_def_237,type,
sK126: ( late_freeRes > late_residual > $o ) > late_freeRes ).
thf(func_def_238,type,
sK127: ( late_freeRes > late_residual > $o ) > pi ).
thf(func_def_239,type,
sK128: ( late_freeRes > late_residual > $o ) > late_freeRes ).
thf(func_def_240,type,
sK129: ( late_freeRes > late_residual > $o ) > late_subject ).
thf(func_def_241,type,
sK130: ( late_freeRes > late_residual > $o ) > name ).
thf(func_def_242,type,
sK131: ( late_freeRes > late_residual > $o ) > pi ).
thf(func_def_243,type,
sK132: ( late_freeRes > late_residual > $o ) > late_freeRes ).
thf(func_def_244,type,
sK133: ( produc1141751126_pi_pi > late_residual > $o ) > late_freeRes ).
thf(func_def_245,type,
sK134: ( produc1141751126_pi_pi > late_residual > $o ) > pi ).
thf(func_def_246,type,
sK135: ( produc1141751126_pi_pi > late_residual > $o ) > produc1141751126_pi_pi ).
thf(func_def_247,type,
sK136: ( produc1141751126_pi_pi > late_residual > $o ) > late_subject ).
thf(func_def_248,type,
sK137: ( produc1141751126_pi_pi > late_residual > $o ) > name ).
thf(func_def_249,type,
sK138: ( produc1141751126_pi_pi > late_residual > $o ) > pi ).
thf(func_def_250,type,
sK139: ( produc1141751126_pi_pi > late_residual > $o ) > produc1141751126_pi_pi ).
thf(func_def_251,type,
sK140: ( name > late_residual > $o ) > late_freeRes ).
thf(func_def_252,type,
sK141: ( name > late_residual > $o ) > pi ).
thf(func_def_253,type,
sK142: ( name > late_residual > $o ) > name ).
thf(func_def_254,type,
sK143: ( name > late_residual > $o ) > late_subject ).
thf(func_def_255,type,
sK144: ( name > late_residual > $o ) > name ).
thf(func_def_256,type,
sK145: ( name > late_residual > $o ) > pi ).
thf(func_def_257,type,
sK146: ( name > late_residual > $o ) > name ).
thf(func_def_258,type,
sK147: ( pi > late_residual > $o ) > late_freeRes ).
thf(func_def_259,type,
sK148: ( pi > late_residual > $o ) > pi ).
thf(func_def_260,type,
sK149: ( pi > late_residual > $o ) > pi ).
thf(func_def_261,type,
sK150: ( pi > late_residual > $o ) > late_subject ).
thf(func_def_262,type,
sK151: ( pi > late_residual > $o ) > name ).
thf(func_def_263,type,
sK152: ( pi > late_residual > $o ) > pi ).
thf(func_def_264,type,
sK153: ( pi > late_residual > $o ) > pi ).
thf(func_def_265,type,
sK154: ( late_freeRes > late_residual > $o ) > late_freeRes ).
thf(func_def_266,type,
sK155: ( late_freeRes > late_residual > $o ) > pi ).
thf(func_def_267,type,
sK156: ( late_freeRes > late_residual > $o ) > late_freeRes ).
thf(func_def_268,type,
sK157: ( late_freeRes > late_residual > $o ) > late_subject ).
thf(func_def_269,type,
sK158: ( late_freeRes > late_residual > $o ) > name ).
thf(func_def_270,type,
sK159: ( late_freeRes > late_residual > $o ) > pi ).
thf(func_def_271,type,
sK160: ( late_freeRes > late_residual > $o ) > late_freeRes ).
thf(func_def_272,type,
sK161: ( produc1141751126_pi_pi > late_residual > $o ) > late_freeRes ).
thf(func_def_273,type,
sK162: ( produc1141751126_pi_pi > late_residual > $o ) > pi ).
thf(func_def_274,type,
sK163: ( produc1141751126_pi_pi > late_residual > $o ) > produc1141751126_pi_pi ).
thf(func_def_275,type,
sK164: ( produc1141751126_pi_pi > late_residual > $o ) > late_subject ).
thf(func_def_276,type,
sK165: ( produc1141751126_pi_pi > late_residual > $o ) > name ).
thf(func_def_277,type,
sK166: ( produc1141751126_pi_pi > late_residual > $o ) > pi ).
thf(func_def_278,type,
sK167: ( produc1141751126_pi_pi > late_residual > $o ) > produc1141751126_pi_pi ).
thf(func_def_279,type,
sK168: ( name > late_residual > $o ) > late_freeRes ).
thf(func_def_280,type,
sK169: ( name > late_residual > $o ) > pi ).
thf(func_def_281,type,
sK170: ( name > late_residual > $o ) > name ).
thf(func_def_282,type,
sK171: ( name > late_residual > $o ) > late_subject ).
thf(func_def_283,type,
sK172: ( name > late_residual > $o ) > name ).
thf(func_def_284,type,
sK173: ( name > late_residual > $o ) > pi ).
thf(func_def_285,type,
sK174: ( name > late_residual > $o ) > name ).
thf(func_def_286,type,
sK175: ( pi > late_residual > $o ) > late_freeRes ).
thf(func_def_287,type,
sK176: ( pi > late_residual > $o ) > pi ).
thf(func_def_288,type,
sK177: ( pi > late_residual > $o ) > pi ).
thf(func_def_289,type,
sK178: ( pi > late_residual > $o ) > late_subject ).
thf(func_def_290,type,
sK179: ( pi > late_residual > $o ) > name ).
thf(func_def_291,type,
sK180: ( pi > late_residual > $o ) > pi ).
thf(func_def_292,type,
sK181: ( pi > late_residual > $o ) > pi ).
thf(func_def_293,type,
sK182: ( late_residual > $o ) > late_freeRes ).
thf(func_def_294,type,
sK183: ( late_residual > $o ) > pi ).
thf(func_def_295,type,
sK184: ( late_residual > $o ) > late_subject ).
thf(func_def_296,type,
sK185: ( late_residual > $o ) > name ).
thf(func_def_297,type,
sK186: ( late_residual > $o ) > pi ).
thf(func_def_298,type,
sK187: ( pi > $o ) > late_freeRes > pi > name > pi ).
thf(func_def_299,type,
sK188: pi > late_freeRes > pi > name > pi ).
thf(func_def_300,type,
sK189: pi > late_freeRes > pi > name > late_freeRes ).
thf(func_def_301,type,
sK190: pi > late_freeRes > pi > name > pi ).
thf(func_def_302,type,
sK191: pi > late_freeRes > pi > name > name ).
thf(func_def_303,type,
sK192: ( pi > $o ) > name > late_subject > pi > pi > pi ).
thf(func_def_304,type,
sK193: ( pi > $o ) > name > late_subject > pi > pi > pi ).
thf(func_def_305,type,
sK194: set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi > product_prod_pi_pi ).
thf(func_def_306,type,
sK195: product_prod_pi_pi > pi ).
thf(func_def_307,type,
sK196: produc1462499409ion_pi > name > noption_pi ).
thf(func_def_308,type,
sK197: set_Pr1654044726_pi_pi > set_Pr1654044726_pi_pi > name ).
thf(func_def_309,type,
sK198: set_Pr1654044726_pi_pi > set_Pr1654044726_pi_pi > product_prod_pi_pi ).
thf(func_def_310,type,
sK199: set_Pr305743074reeRes > set_Pr305743074reeRes > name > noption_pi ).
thf(func_def_311,type,
sK200: set_Pr305743074reeRes > set_Pr305743074reeRes > late_freeRes ).
thf(func_def_312,type,
sK201: set_Pr100209225_pi_pi > set_Pr100209225_pi_pi > name > noption_pi ).
thf(func_def_313,type,
sK202: set_Pr100209225_pi_pi > set_Pr100209225_pi_pi > produc1141751126_pi_pi ).
thf(func_def_314,type,
sK203: set_Pr1294453099i_name > set_Pr1294453099i_name > name > noption_pi ).
thf(func_def_315,type,
sK204: set_Pr1294453099i_name > set_Pr1294453099i_name > name ).
thf(func_def_316,type,
sK205: set_Pr1694908217_pi_pi > set_Pr1694908217_pi_pi > name > noption_pi ).
thf(func_def_317,type,
sK206: set_Pr1694908217_pi_pi > set_Pr1694908217_pi_pi > pi ).
thf(func_def_318,type,
sK207: set_Pr1569510577ion_pi > set_Pr1569510577ion_pi > name > noption_pi ).
thf(func_def_319,type,
sK208: set_Pr1569510577ion_pi > set_Pr1569510577ion_pi > name > noption_pi ).
thf(func_def_320,type,
sK209: set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi > pi ).
thf(func_def_321,type,
sK210: set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi > pi ).
thf(func_def_322,type,
sK211: ( set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi ) > set_Pr1834926343_pi_pi ).
thf(func_def_323,type,
sK212: ( set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi ) > set_Pr1834926343_pi_pi ).
thf(func_def_324,type,
sK213: ( set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi ) > set_Pr1834926343_pi_pi ).
thf(func_def_325,type,
sK214: ( set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi ) > set_Pr1834926343_pi_pi ).
thf(func_def_326,type,
sK215: ( set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi ) > set_Pr1834926343_pi_pi ).
thf(func_def_327,type,
sK216: ( set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi ) > set_Pr1834926343_pi_pi ).
thf(func_def_328,type,
sK217: ( set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi ) > set_Pr1834926343_pi_pi ).
thf(func_def_329,type,
sK218: ( set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi ) > set_Pr1834926343_pi_pi ).
thf(func_def_330,type,
sK219: ( product_prod_pi_pi > $o ) > ( product_prod_pi_pi > $o ) > product_prod_pi_pi ).
thf(func_def_331,type,
sK220: pi > late_freeRes > pi > set_Pr1834926343_pi_pi > late_subject ).
thf(func_def_332,type,
sK221: pi > late_freeRes > pi > set_Pr1834926343_pi_pi > name ).
thf(func_def_333,type,
sK222: pi > late_freeRes > pi > set_Pr1834926343_pi_pi > pi ).
thf(func_def_334,type,
sK223: pi > pi > set_Pr1834926343_pi_pi > late_freeRes ).
thf(func_def_335,type,
sK224: pi > pi > set_Pr1834926343_pi_pi > pi ).
thf(func_def_336,type,
sK225: pi > produc1141751126_pi_pi > pi > set_Pr1834926343_pi_pi > late_subject ).
thf(func_def_337,type,
sK226: pi > produc1141751126_pi_pi > pi > set_Pr1834926343_pi_pi > name ).
thf(func_def_338,type,
sK227: pi > produc1141751126_pi_pi > pi > set_Pr1834926343_pi_pi > pi ).
thf(func_def_339,type,
sK228: pi > pi > set_Pr1834926343_pi_pi > late_freeRes ).
thf(func_def_340,type,
sK229: pi > pi > set_Pr1834926343_pi_pi > pi ).
thf(func_def_341,type,
sK230: pi > name > pi > set_Pr1834926343_pi_pi > late_subject ).
thf(func_def_342,type,
sK231: pi > name > pi > set_Pr1834926343_pi_pi > name ).
thf(func_def_343,type,
sK232: pi > name > pi > set_Pr1834926343_pi_pi > pi ).
thf(func_def_344,type,
sK233: pi > pi > set_Pr1834926343_pi_pi > late_freeRes ).
thf(func_def_345,type,
sK234: pi > pi > set_Pr1834926343_pi_pi > pi ).
thf(func_def_346,type,
sK235: pi > pi > pi > set_Pr1834926343_pi_pi > late_subject ).
thf(func_def_347,type,
sK236: pi > pi > pi > set_Pr1834926343_pi_pi > name ).
thf(func_def_348,type,
sK237: pi > pi > pi > set_Pr1834926343_pi_pi > pi ).
thf(func_def_349,type,
sK238: pi > pi > set_Pr1834926343_pi_pi > late_freeRes ).
thf(func_def_350,type,
sK239: pi > pi > set_Pr1834926343_pi_pi > pi ).
thf(func_def_351,type,
sK240: name > pi > late_residual > pi ).
thf(func_def_352,type,
sK241: name > pi > late_residual > name ).
thf(func_def_353,type,
sK242: name > pi > late_residual > name ).
thf(func_def_354,type,
sK243: name > pi > late_residual > pi ).
thf(func_def_355,type,
sK244: name > pi > late_residual > pi ).
thf(func_def_356,type,
sK245: name > pi > late_residual > late_subject ).
thf(func_def_357,type,
sK246: name > pi > late_residual > name ).
thf(func_def_358,type,
sK247: name > pi > late_residual > pi ).
thf(func_def_359,type,
sK248: name > pi > late_residual > name ).
thf(func_def_360,type,
sK249: late_residual > pi > name > pi ).
thf(func_def_361,type,
sK250: late_residual > pi > name > late_freeRes ).
thf(func_def_362,type,
sK251: late_residual > pi > name > pi ).
thf(func_def_363,type,
sK252: late_residual > pi > name > name ).
thf(func_def_364,type,
sK253: pi > name > late_subject > set_Pr1834926343_pi_pi > pi > pi ).
thf(func_def_365,type,
sK254: pi > late_freeRes > set_Pr1834926343_pi_pi > pi > pi ).
thf(func_def_366,type,
sK255: pi > pi > name > set_Pr1834926343_pi_pi > pi ).
thf(func_def_367,type,
sK256: pi > pi > name > set_Pr1834926343_pi_pi > name ).
thf(func_def_368,type,
sK257: pi > late_freeRes > pi > name > set_Pr1834926343_pi_pi > pi ).
thf(func_def_369,type,
sK258: pi > late_freeRes > pi > name > set_Pr1834926343_pi_pi > late_subject ).
thf(func_def_370,type,
sK259: pi > late_freeRes > pi > name > set_Pr1834926343_pi_pi > name ).
thf(func_def_371,type,
sK260: pi > name > pi > set_Pr1834926343_pi_pi > pi ).
thf(func_def_372,type,
sK261: pi > name > pi > set_Pr1834926343_pi_pi > late_freeRes ).
thf(func_def_373,type,
sK262: pi > pi > name > set_Pr1834926343_pi_pi > pi ).
thf(func_def_374,type,
sK263: pi > pi > name > set_Pr1834926343_pi_pi > name ).
thf(func_def_375,type,
sK264: pi > produc1141751126_pi_pi > pi > name > set_Pr1834926343_pi_pi > pi ).
thf(func_def_376,type,
sK265: pi > produc1141751126_pi_pi > pi > name > set_Pr1834926343_pi_pi > late_subject ).
thf(func_def_377,type,
sK266: pi > produc1141751126_pi_pi > pi > name > set_Pr1834926343_pi_pi > name ).
thf(func_def_378,type,
sK267: pi > name > pi > set_Pr1834926343_pi_pi > pi ).
thf(func_def_379,type,
sK268: pi > name > pi > set_Pr1834926343_pi_pi > late_freeRes ).
thf(func_def_380,type,
sK269: pi > pi > name > set_Pr1834926343_pi_pi > pi ).
thf(func_def_381,type,
sK270: pi > pi > name > set_Pr1834926343_pi_pi > name ).
thf(func_def_382,type,
sK271: pi > name > pi > name > set_Pr1834926343_pi_pi > pi ).
thf(func_def_383,type,
sK272: pi > name > pi > name > set_Pr1834926343_pi_pi > late_subject ).
thf(func_def_384,type,
sK273: pi > name > pi > name > set_Pr1834926343_pi_pi > name ).
thf(func_def_385,type,
sK274: pi > name > pi > set_Pr1834926343_pi_pi > pi ).
thf(func_def_386,type,
sK275: pi > name > pi > set_Pr1834926343_pi_pi > late_freeRes ).
thf(func_def_387,type,
sK276: pi > pi > name > set_Pr1834926343_pi_pi > pi ).
thf(func_def_388,type,
sK277: pi > pi > name > set_Pr1834926343_pi_pi > name ).
thf(func_def_389,type,
sK278: pi > pi > pi > name > set_Pr1834926343_pi_pi > pi ).
thf(func_def_390,type,
sK279: pi > pi > pi > name > set_Pr1834926343_pi_pi > late_subject ).
thf(func_def_391,type,
sK280: pi > pi > pi > name > set_Pr1834926343_pi_pi > name ).
thf(func_def_392,type,
sK281: pi > name > pi > set_Pr1834926343_pi_pi > pi ).
thf(func_def_393,type,
sK282: pi > name > pi > set_Pr1834926343_pi_pi > late_freeRes ).
thf(func_def_394,type,
sK283: set_Pr1834926343_pi_pi > pi > pi > late_freeRes ).
thf(func_def_395,type,
sK284: set_Pr1834926343_pi_pi > pi > pi > pi ).
thf(func_def_396,type,
sK285: set_Pr1834926343_pi_pi > pi > pi > late_subject ).
thf(func_def_397,type,
sK286: set_Pr1834926343_pi_pi > pi > pi > name ).
thf(func_def_398,type,
sK287: set_Pr1834926343_pi_pi > pi > pi > pi ).
thf(func_def_399,type,
sK288: name > pi > late_subject > name > pi > pi ).
thf(func_def_400,type,
sK289: name > pi > late_subject > name > pi > late_subject ).
thf(func_def_401,type,
sK290: name > pi > late_subject > name > pi > name ).
thf(func_def_402,type,
sK291: name > pi > late_subject > name > pi > pi ).
thf(func_def_403,type,
sK292: name > pi > late_subject > name > pi > name ).
thf(func_def_404,type,
sK293: pi > name > late_subject > pi > name > pi ).
thf(func_def_405,type,
sK294: pi > name > late_subject > pi > name > name ).
thf(func_def_406,type,
sK295: pi > name > late_subject > pi > name > name ).
thf(func_def_407,type,
sK296: pi > name > late_subject > pi > name > pi ).
thf(func_def_408,type,
sK297: late_residual > pi > name > name > name ).
thf(func_def_409,type,
sK298: late_residual > pi > name > name > name ).
thf(func_def_410,type,
sK299: late_residual > pi > name > name > pi ).
thf(func_def_411,type,
sK300: late_subject > name ).
thf(func_def_412,type,
sK301: late_subject > name ).
thf(func_def_413,type,
sK302: ( late_subject > $o ) > name ).
thf(func_def_414,type,
sK303: ( late_subject > $o ) > name ).
thf(func_def_415,type,
sK304: ( late_freeRes > $o ) > name ).
thf(func_def_416,type,
sK305: ( late_freeRes > $o ) > name ).
thf(func_def_417,type,
sK306: late_freeRes > name ).
thf(func_def_418,type,
sK307: late_freeRes > name ).
thf(func_def_419,type,
sK308: late_residual > pi > name > name > name ).
thf(func_def_420,type,
sK309: late_residual > pi > name > name > name ).
thf(func_def_421,type,
sK310: late_residual > pi > name > name > pi ).
thf(func_def_422,type,
sK311: late_residual > pi > pi ).
thf(func_def_423,type,
sK312: set_Pr1834926343_pi_pi > product_prod_pi_pi ).
thf(func_def_424,type,
sK313: name > name > late_subject > set_Pr1834926343_pi_pi > pi > pi > name > pi ).
thf(func_def_425,type,
sK314: name > pi > set_Pr1834926343_pi_pi > name > pi > late_subject > name > pi ).
thf(func_def_426,type,
sK315: set_Pr1834926343_pi_pi > product_prod_pi_pi ).
thf(func_def_427,type,
sK316: name > pi > set_Pr1834926343_pi_pi > late_freeRes > pi > name > pi ).
thf(func_def_428,type,
sK317: name > pi > set_Pr1834926343_pi_pi > late_freeRes > pi > name > pi ).
thf(func_def_429,type,
sK318: set_Pr1834926343_pi_pi > product_prod_pi_pi ).
thf(func_def_430,type,
sK319: pi > set_Pr1834926343_pi_pi > pi > late_subject > name > pi ).
thf(func_def_431,type,
sK320: pi > set_Pr1834926343_pi_pi > pi > late_subject > name > pi ).
thf(func_def_432,type,
sK321: set_Pr1834926343_pi_pi > product_prod_pi_pi ).
thf(func_def_433,type,
sK322: pi > set_Pr1834926343_pi_pi > pi > late_freeRes > pi ).
thf(func_def_434,type,
sK323: pi > set_Pr1834926343_pi_pi > pi > late_freeRes > pi ).
thf(func_def_435,type,
sK324: name > pi > set_Pr1834926343_pi_pi > name > pi ).
thf(func_def_436,type,
sK325: name > pi > set_Pr1834926343_pi_pi > name > pi ).
thf(func_def_437,type,
sK326: name > pi > set_Pr1834926343_pi_pi > name > late_freeRes ).
thf(func_def_438,type,
sK327: name > pi > set_Pr1834926343_pi_pi > name > name ).
thf(func_def_439,type,
sK328: name > pi > set_Pr1834926343_pi_pi > name > late_subject ).
thf(func_def_440,type,
sK329: name > pi > set_Pr1834926343_pi_pi > name > late_subject ).
thf(func_def_441,type,
sK330: pi > set_Pr1834926343_pi_pi > pi ).
thf(func_def_442,type,
sK331: pi > set_Pr1834926343_pi_pi > pi ).
thf(func_def_443,type,
sK332: pi > set_Pr1834926343_pi_pi > late_freeRes ).
thf(func_def_444,type,
sK333: pi > set_Pr1834926343_pi_pi > name ).
thf(func_def_445,type,
sK334: pi > set_Pr1834926343_pi_pi > late_subject ).
thf(func_def_446,type,
sK335: pi > set_Pr1834926343_pi_pi > late_subject ).
thf(func_def_447,type,
sK336: name > pi > set_Pr1834926343_pi_pi > name > pi ).
thf(func_def_448,type,
sK337: name > pi > set_Pr1834926343_pi_pi > name > pi ).
thf(func_def_449,type,
sK338: name > pi > set_Pr1834926343_pi_pi > name > late_freeRes ).
thf(func_def_450,type,
sK339: name > pi > set_Pr1834926343_pi_pi > name > name ).
thf(func_def_451,type,
sK340: name > pi > set_Pr1834926343_pi_pi > name > late_subject ).
thf(func_def_452,type,
sK341: name > pi > set_Pr1834926343_pi_pi > name > late_subject ).
thf(func_def_453,type,
sK342: set_Pr1834926343_pi_pi > pi > name > pi > late_subject > pi ).
thf(func_def_454,type,
sK343: set_Pr1834926343_pi_pi > pi > late_freeRes > pi > pi ).
thf(func_def_455,type,
sK344: set_Pr1834926343_pi_pi > product_prod_pi_pi ).
thf(func_def_456,type,
sK345: pi > name > set_Pr1834926343_pi_pi > late_subject > pi > pi ).
thf(func_def_457,type,
sK346: pi > name > set_Pr1834926343_pi_pi > late_subject > pi > pi ).
thf(func_def_458,type,
sK347: set_Pr1834926343_pi_pi > product_prod_pi_pi ).
thf(func_def_459,type,
sK348: pi > late_freeRes > set_Pr1834926343_pi_pi > pi > pi ).
thf(func_def_460,type,
sK349: pi > late_freeRes > set_Pr1834926343_pi_pi > pi > pi ).
thf(func_def_461,type,
sK350: set_Pr1834926343_pi_pi > product_prod_pi_pi ).
thf(func_def_462,type,
sK351: pi > name > set_Pr1834926343_pi_pi > late_subject > pi > pi ).
thf(func_def_463,type,
sK352: pi > name > set_Pr1834926343_pi_pi > late_subject > pi > pi ).
thf(func_def_464,type,
sK353: set_Pr1834926343_pi_pi > product_prod_pi_pi ).
thf(func_def_465,type,
sK354: pi > late_freeRes > set_Pr1834926343_pi_pi > pi > pi ).
thf(func_def_466,type,
sK355: pi > late_freeRes > set_Pr1834926343_pi_pi > pi > pi ).
thf(func_def_467,type,
sK356: set_Pr1834926343_pi_pi > product_prod_pi_pi ).
thf(func_def_468,type,
sK357: pi > late_subject > set_Pr1834926343_pi_pi > name > pi > pi > pi ).
thf(func_def_469,type,
sK358: pi > late_subject > set_Pr1834926343_pi_pi > name > pi > pi > pi ).
thf(func_def_470,type,
sK359: set_Pr1834926343_pi_pi > product_prod_pi_pi ).
thf(func_def_471,type,
sK360: pi > pi > set_Pr1834926343_pi_pi > late_freeRes > pi > pi ).
thf(func_def_472,type,
sK361: pi > pi > set_Pr1834926343_pi_pi > late_freeRes > pi > pi ).
thf(func_def_473,type,
sK362: set_Pr1834926343_pi_pi > product_prod_pi_pi ).
thf(func_def_474,type,
sK363: pi > pi > set_Pr1834926343_pi_pi > name > pi > late_subject > pi > pi ).
thf(func_def_475,type,
sK364: pi > pi > set_Pr1834926343_pi_pi > name > pi > late_subject > pi > pi ).
thf(func_def_476,type,
sK365: set_Pr1834926343_pi_pi > product_prod_pi_pi ).
thf(func_def_477,type,
sK366: pi > pi > set_Pr1834926343_pi_pi > late_freeRes > pi > pi > pi ).
thf(func_def_478,type,
sK367: pi > pi > set_Pr1834926343_pi_pi > late_freeRes > pi > pi > pi ).
thf(func_def_479,type,
sK368: set_Pr1834926343_pi_pi > product_prod_pi_pi ).
thf(func_def_480,type,
sK369: pi > name > set_Pr1834926343_pi_pi > late_subject > pi > pi ).
thf(func_def_481,type,
sK370: pi > name > set_Pr1834926343_pi_pi > late_subject > pi > pi ).
thf(func_def_482,type,
sK371: set_Pr1834926343_pi_pi > product_prod_pi_pi ).
thf(func_def_483,type,
sK372: pi > late_freeRes > set_Pr1834926343_pi_pi > pi > pi ).
thf(func_def_484,type,
sK373: pi > late_freeRes > set_Pr1834926343_pi_pi > pi > pi ).
thf(func_def_485,type,
sK374: set_Pr1834926343_pi_pi > product_prod_pi_pi ).
thf(func_def_486,type,
sK375: pi > pi > set_Pr1834926343_pi_pi > name > pi > late_subject > pi > pi ).
thf(func_def_487,type,
sK376: pi > pi > set_Pr1834926343_pi_pi > name > pi > late_subject > pi > pi ).
thf(func_def_488,type,
sK377: set_Pr1834926343_pi_pi > product_prod_pi_pi ).
thf(func_def_489,type,
sK378: pi > pi > set_Pr1834926343_pi_pi > late_freeRes > pi > pi > pi ).
thf(func_def_490,type,
sK379: pi > pi > set_Pr1834926343_pi_pi > late_freeRes > pi > pi > pi ).
thf(func_def_491,type,
sK380: set_Pr1834926343_pi_pi > product_prod_pi_pi ).
thf(func_def_492,type,
sK381: pi > name > set_Pr1834926343_pi_pi > late_subject > pi > pi ).
thf(func_def_493,type,
sK382: pi > name > set_Pr1834926343_pi_pi > late_subject > pi > pi ).
thf(func_def_494,type,
sK383: set_Pr1834926343_pi_pi > product_prod_pi_pi ).
thf(func_def_495,type,
sK384: pi > late_freeRes > set_Pr1834926343_pi_pi > pi > pi ).
thf(func_def_496,type,
sK385: pi > late_freeRes > set_Pr1834926343_pi_pi > pi > pi ).
thf(func_def_497,type,
sK386: pi > late_subject > name > pi > set_Pr1834926343_pi_pi > pi ).
thf(func_def_498,type,
sK387: pi > pi > late_freeRes > set_Pr1834926343_pi_pi > pi ).
thf(func_def_499,type,
sK388: pi > late_subject > name > pi > set_Pr1834926343_pi_pi > pi ).
thf(func_def_500,type,
sK389: pi > pi > late_freeRes > set_Pr1834926343_pi_pi > pi ).
thf(func_def_501,type,
sK390: pi > late_subject > name > pi > set_Pr1834926343_pi_pi > pi ).
thf(func_def_502,type,
sK391: pi > pi > late_freeRes > set_Pr1834926343_pi_pi > pi ).
thf(func_def_503,type,
sK392: pi > pi > late_subject > name > set_Pr1834926343_pi_pi > pi ).
thf(func_def_504,type,
sK393: pi > pi > late_freeRes > set_Pr1834926343_pi_pi > pi ).
thf(func_def_505,type,
sK394: pi > pi > late_subject > name > set_Pr1834926343_pi_pi > pi ).
thf(func_def_506,type,
sK395: pi > pi > late_freeRes > set_Pr1834926343_pi_pi > pi ).
thf(func_def_507,type,
sK396: pi > late_subject > name > pi > set_Pr1834926343_pi_pi > pi ).
thf(func_def_508,type,
sK397: pi > pi > late_freeRes > set_Pr1834926343_pi_pi > pi ).
thf(func_def_509,type,
sK398: pi > set_Pr1834926343_pi_pi > late_subject > name > pi > pi ).
thf(func_def_510,type,
sK399: pi > set_Pr1834926343_pi_pi > late_freeRes > pi > pi ).
thf(func_def_511,type,
sK400: pi > set_Pr1834926343_pi_pi > late_subject > name > pi > pi ).
thf(func_def_512,type,
sK401: pi > set_Pr1834926343_pi_pi > late_freeRes > pi > pi ).
thf(func_def_513,type,
sK402: pi > pi > set_Pr1834926343_pi_pi > late_subject > name > pi ).
thf(func_def_514,type,
sK403: pi > pi > set_Pr1834926343_pi_pi > late_freeRes > pi ).
thf(func_def_515,type,
sK404: pi > set_Pr1834926343_pi_pi > late_subject > name > pi > pi ).
thf(func_def_516,type,
sK405: pi > set_Pr1834926343_pi_pi > late_freeRes > pi > pi ).
thf(func_def_517,type,
sK406: pi > set_Pr1834926343_pi_pi > late_subject > name > pi > pi ).
thf(func_def_518,type,
sK407: pi > set_Pr1834926343_pi_pi > late_freeRes > pi > pi ).
thf(func_def_519,type,
sK408: pi > pi > set_Pr1834926343_pi_pi > late_subject > name > pi ).
thf(func_def_520,type,
sK409: pi > pi > set_Pr1834926343_pi_pi > late_freeRes > pi ).
thf(func_def_521,type,
sK410: pi > set_Pr1834926343_pi_pi > late_subject > name > pi > pi ).
thf(func_def_522,type,
sK411: pi > set_Pr1834926343_pi_pi > late_freeRes > pi > pi ).
thf(func_def_523,type,
sK412: pi > set_Pr1834926343_pi_pi > late_subject > name > pi > pi ).
thf(func_def_524,type,
sK413: pi > set_Pr1834926343_pi_pi > late_freeRes > pi > pi ).
thf(func_def_525,type,
sK414: pi > pi > set_Pr1834926343_pi_pi > late_subject > name > pi ).
thf(func_def_526,type,
sK415: pi > pi > set_Pr1834926343_pi_pi > late_freeRes > pi ).
thf(func_def_527,type,
sK416: pi > set_Pr1834926343_pi_pi > late_subject > name > pi > pi ).
thf(func_def_528,type,
sK417: pi > set_Pr1834926343_pi_pi > late_freeRes > pi > pi ).
thf(func_def_529,type,
sK418: pi > set_Pr1834926343_pi_pi > late_subject > name > pi > pi ).
thf(func_def_530,type,
sK419: pi > set_Pr1834926343_pi_pi > late_freeRes > pi > pi ).
thf(func_def_531,type,
sK420: pi > pi > set_Pr1834926343_pi_pi > late_subject > name > pi ).
thf(func_def_532,type,
sK421: pi > pi > set_Pr1834926343_pi_pi > late_freeRes > pi ).
thf(func_def_533,type,
sK422: set_Pr1834926343_pi_pi > pi > pi > pi ).
thf(func_def_534,type,
sK423: set_Pr1834926343_pi_pi > pi > pi > pi ).
thf(func_def_535,type,
sK424: set_Pr1834926343_pi_pi > pi > pi > late_freeRes ).
thf(func_def_536,type,
sK425: set_Pr1834926343_pi_pi > pi > pi > name ).
thf(func_def_537,type,
sK426: set_Pr1834926343_pi_pi > pi > pi > late_subject ).
thf(func_def_538,type,
sK427: set_Pr1834926343_pi_pi > pi > pi > late_subject ).
thf(func_def_539,type,
sK428: set_Pr1834926343_pi_pi > pi > pi > pi ).
thf(func_def_540,type,
sK429: set_Pr1834926343_pi_pi > pi > pi > pi ).
thf(func_def_541,type,
sK430: set_Pr1834926343_pi_pi > pi > pi > late_freeRes ).
thf(func_def_542,type,
sK431: set_Pr1834926343_pi_pi > pi > pi > name ).
thf(func_def_543,type,
sK432: set_Pr1834926343_pi_pi > pi > pi > late_subject ).
thf(func_def_544,type,
sK433: set_Pr1834926343_pi_pi > pi > pi > late_subject ).
thf(func_def_545,type,
sK434: set_Pr1834926343_pi_pi > product_prod_pi_pi ).
thf(func_def_546,type,
sK435: set_Pr1834926343_pi_pi > product_prod_pi_pi ).
thf(func_def_547,type,
sK436: pi > name > set_Pr1834926343_pi_pi > late_subject > pi > pi ).
thf(func_def_548,type,
sK437: pi > name > set_Pr1834926343_pi_pi > late_subject > pi > pi ).
thf(func_def_549,type,
sK438: set_Pr1834926343_pi_pi > product_prod_pi_pi ).
thf(func_def_550,type,
sK439: pi > late_freeRes > set_Pr1834926343_pi_pi > pi > pi ).
thf(func_def_551,type,
sK440: pi > late_freeRes > set_Pr1834926343_pi_pi > pi > pi ).
thf(func_def_552,type,
sK441: set_Pr1834926343_pi_pi > pi > pi > pi ).
thf(func_def_553,type,
sK442: set_Pr1834926343_pi_pi > pi > pi > pi ).
thf(func_def_554,type,
sK443: set_Pr1834926343_pi_pi > pi > pi > late_freeRes ).
thf(func_def_555,type,
sK444: set_Pr1834926343_pi_pi > pi > pi > name ).
thf(func_def_556,type,
sK445: set_Pr1834926343_pi_pi > pi > pi > late_subject ).
thf(func_def_557,type,
sK446: set_Pr1834926343_pi_pi > pi > pi > late_subject ).
thf(func_def_558,type,
sK447: set_Pr1834926343_pi_pi > pi > pi > pi ).
thf(func_def_559,type,
sK448: set_Pr1834926343_pi_pi > pi > pi > pi ).
thf(func_def_560,type,
sK449: set_Pr1834926343_pi_pi > pi > pi > late_freeRes ).
thf(func_def_561,type,
sK450: set_Pr1834926343_pi_pi > pi > pi > name ).
thf(func_def_562,type,
sK451: set_Pr1834926343_pi_pi > pi > pi > late_subject ).
thf(func_def_563,type,
sK452: set_Pr1834926343_pi_pi > pi > pi > late_subject ).
thf(func_def_564,type,
sK453: set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi > product_prod_pi_pi ).
thf(func_def_565,type,
sK454: set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi > product_prod_pi_pi ).
thf(func_def_566,type,
sK455: set_Pr1834926343_pi_pi > pi > pi > pi ).
thf(func_def_567,type,
sK456: set_Pr1834926343_pi_pi > pi > pi > pi ).
thf(func_def_568,type,
sK457: set_Pr1834926343_pi_pi > pi > pi > late_freeRes ).
thf(func_def_569,type,
sK458: set_Pr1834926343_pi_pi > pi > pi > name ).
thf(func_def_570,type,
sK459: set_Pr1834926343_pi_pi > pi > pi > late_subject ).
thf(func_def_571,type,
sK460: set_Pr1834926343_pi_pi > late_subject > pi > pi > name > pi ).
thf(func_def_572,type,
sK461: set_Pr1834926343_pi_pi > late_subject > pi > pi > name > pi ).
thf(func_def_573,type,
sK462: set_Pr1834926343_pi_pi > late_subject > pi > pi > name > pi ).
thf(func_def_574,type,
sK463: set_Pr1834926343_pi_pi > pi > pi > late_subject ).
thf(func_def_575,type,
sK464: set_Pr1834926343_pi_pi > late_subject > pi > pi > name > pi ).
thf(func_def_576,type,
sK465: set_Pr1834926343_pi_pi > late_subject > pi > pi > name > pi ).
thf(func_def_577,type,
sK466: set_Pr1834926343_pi_pi > late_subject > pi > pi > name > pi ).
thf(func_def_578,type,
sK467: set_Pr1834926343_pi_pi > pi > pi > late_freeRes ).
thf(func_def_579,type,
sK468: set_Pr1834926343_pi_pi > pi > pi > name ).
thf(func_def_580,type,
sK469: set_Pr1834926343_pi_pi > pi > pi > late_subject ).
thf(func_def_581,type,
sK470: set_Pr1834926343_pi_pi > late_subject > pi > pi > name > pi ).
thf(func_def_582,type,
sK471: set_Pr1834926343_pi_pi > late_subject > pi > pi > name > pi ).
thf(func_def_583,type,
sK472: set_Pr1834926343_pi_pi > late_subject > pi > pi > name > pi ).
thf(func_def_584,type,
sK473: set_Pr1834926343_pi_pi > pi > pi > late_subject ).
thf(func_def_585,type,
sK474: set_Pr1834926343_pi_pi > late_subject > pi > pi > name > pi ).
thf(func_def_586,type,
sK475: set_Pr1834926343_pi_pi > late_subject > pi > pi > name > pi ).
thf(func_def_587,type,
sK476: set_Pr1834926343_pi_pi > late_subject > pi > pi > name > pi ).
thf(func_def_588,type,
sK477: set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi > product_prod_pi_pi ).
thf(func_def_589,type,
sK478: set_Pr1834926343_pi_pi > pi > pi > pi ).
thf(func_def_590,type,
sK479: set_Pr1834926343_pi_pi > pi > pi > pi ).
thf(func_def_591,type,
sK480: set_Pr1834926343_pi_pi > pi > pi > late_freeRes ).
thf(func_def_592,type,
sK481: set_Pr1834926343_pi_pi > pi > pi > name ).
thf(func_def_593,type,
sK482: set_Pr1834926343_pi_pi > pi > pi > late_subject ).
thf(func_def_594,type,
sK483: set_Pr1834926343_pi_pi > late_freeRes > pi > pi > pi ).
thf(func_def_595,type,
sK484: set_Pr1834926343_pi_pi > pi > pi > late_subject ).
thf(func_def_596,type,
sK485: set_Pr1834926343_pi_pi > late_freeRes > pi > pi > pi ).
thf(func_def_597,type,
sK486: set_Pr1834926343_pi_pi > pi > pi > late_freeRes ).
thf(func_def_598,type,
sK487: set_Pr1834926343_pi_pi > pi > pi > name ).
thf(func_def_599,type,
sK488: set_Pr1834926343_pi_pi > pi > pi > late_subject ).
thf(func_def_600,type,
sK489: set_Pr1834926343_pi_pi > late_freeRes > pi > pi > pi ).
thf(func_def_601,type,
sK490: set_Pr1834926343_pi_pi > pi > pi > late_subject ).
thf(func_def_602,type,
sK491: set_Pr1834926343_pi_pi > late_freeRes > pi > pi > pi ).
thf(func_def_603,type,
sK492: pi > late_subject > set_Pr1834926343_pi_pi > pi > name > pi ).
thf(func_def_604,type,
sK493: pi > late_freeRes > set_Pr1834926343_pi_pi > pi > pi ).
thf(func_def_605,type,
sK494: pi > late_subject > set_Pr1834926343_pi_pi > name > pi > pi ).
thf(func_def_606,type,
sK495: pi > set_Pr1834926343_pi_pi > late_freeRes > pi > pi ).
thf(func_def_607,type,
sK496: pi > late_subject > set_Pr1834926343_pi_pi > pi > name > pi ).
thf(func_def_608,type,
sK497: pi > late_freeRes > set_Pr1834926343_pi_pi > pi > pi ).
thf(func_def_609,type,
sK498: pi > late_subject > set_Pr1834926343_pi_pi > name > pi > pi ).
thf(func_def_610,type,
sK499: pi > set_Pr1834926343_pi_pi > late_freeRes > pi > pi ).
thf(func_def_611,type,
sK500: pi > late_subject > set_Pr1834926343_pi_pi > pi > name > pi ).
thf(func_def_612,type,
sK501: pi > late_freeRes > set_Pr1834926343_pi_pi > pi > pi ).
thf(func_def_613,type,
sK502: pi > late_subject > set_Pr1834926343_pi_pi > name > pi > pi ).
thf(func_def_614,type,
sK503: pi > set_Pr1834926343_pi_pi > late_freeRes > pi > pi ).
thf(func_def_615,type,
sK504: pi > late_subject > set_Pr1834926343_pi_pi > pi > name > pi ).
thf(func_def_616,type,
sK505: pi > late_freeRes > set_Pr1834926343_pi_pi > pi > pi ).
thf(func_def_617,type,
sK506: pi > late_subject > set_Pr1834926343_pi_pi > name > pi > pi ).
thf(func_def_618,type,
sK507: pi > set_Pr1834926343_pi_pi > late_freeRes > pi > pi ).
thf(func_def_619,type,
sK508: set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi > product_prod_pi_pi ).
thf(func_def_620,type,
sK509: set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi > product_prod_pi_pi ).
thf(func_def_621,type,
sK510: set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi > product_prod_pi_pi ).
thf(func_def_622,type,
sK511: set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi > product_prod_pi_pi ).
thf(func_def_623,type,
sK512: ( product_prod_pi_pi > $o ) > ( product_prod_pi_pi > $o ) > product_prod_pi_pi ).
thf(func_def_624,type,
sK513: ( product_prod_pi_pi > $o ) > ( product_prod_pi_pi > $o ) > product_prod_pi_pi ).
thf(func_def_625,type,
sK514: set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi > product_prod_pi_pi ).
thf(func_def_626,type,
sK515: ( set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi ) > set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi > product_prod_pi_pi ).
thf(func_def_627,type,
sK516: ( set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi ) > product_prod_pi_pi ).
thf(func_def_628,type,
sK517: set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi > product_prod_pi_pi ).
thf(func_def_629,type,
sK518: ( set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi ) > set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi > product_prod_pi_pi ).
thf(func_def_630,type,
sK519: set_Pr1834926343_pi_pi > ( set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi ) > set_Pr1834926343_pi_pi > product_prod_pi_pi ).
thf(func_def_631,type,
sK520: set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi > product_prod_pi_pi ).
thf(func_def_632,type,
sK521: ( set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi ) > product_prod_pi_pi ).
thf(func_def_633,type,
sK522: set_Pr1834926343_pi_pi > ( set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi ) > set_Pr1834926343_pi_pi > product_prod_pi_pi ).
thf(func_def_634,type,
sK523: set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi > product_prod_pi_pi ).
thf(func_def_635,type,
sK524: set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi > product_prod_pi_pi ).
thf(func_def_636,type,
sK525: ( set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi ) > product_prod_pi_pi ).
thf(func_def_637,type,
sK526: set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi > product_prod_pi_pi ).
thf(func_def_638,type,
sK527: set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi > product_prod_pi_pi ).
thf(func_def_639,type,
sK528: ( set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi ) > product_prod_pi_pi ).
thf(func_def_640,type,
sK529: set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi > product_prod_pi_pi ).
thf(func_def_641,type,
sK530: set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi > product_prod_pi_pi ).
thf(func_def_642,type,
sK531: set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi > product_prod_pi_pi ).
thf(func_def_643,type,
sK532: set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi > product_prod_pi_pi ).
thf(func_def_644,type,
sK533: set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi > product_prod_pi_pi ).
thf(func_def_645,type,
sK534: set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi > product_prod_pi_pi ).
thf(func_def_646,type,
sK535: set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi > product_prod_pi_pi ).
thf(func_def_647,type,
sK536: set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi > product_prod_pi_pi ).
thf(func_def_648,type,
sK537: set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi > product_prod_pi_pi ).
thf(func_def_649,type,
sK538: set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi > product_prod_pi_pi ).
thf(func_def_650,type,
sK539: set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi > product_prod_pi_pi ).
thf(func_def_651,type,
sK540: set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi > product_prod_pi_pi ).
thf(func_def_652,type,
sK541: set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi > product_prod_pi_pi ).
thf(func_def_653,type,
sK542: set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi > product_prod_pi_pi ).
thf(func_def_654,type,
sK543: set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi > product_prod_pi_pi ).
thf(func_def_655,type,
sK544: set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi > product_prod_pi_pi ).
thf(func_def_656,type,
sK545: set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi > product_prod_pi_pi ).
thf(func_def_657,type,
sK546: set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi > product_prod_pi_pi ).
thf(f2,axiom,
fresh_1376661020_pi_pi @ y @ ( produc235456326_pi_pi @ x @ ( product_Pair_pi_pi @ p @ q ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_Bound_Ohyps_I5_J) ).
thf(f32,axiom,
! [X0: name,X1: name,X2: product_prod_pi_pi] :
( ( fresh_1376661020_pi_pi @ X0 @ ( produc235456326_pi_pi @ X1 @ X2 ) )
=> ( fresh_name_name @ X0 @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_31_fresh__prodD_I1_J) ).
thf(f274,axiom,
( fresh_name_name
= ( ^ [X0: name,X1: name] : ( X0 != X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_273_name__fresh) ).
thf(f353,conjecture,
y != x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f354,negated_conjecture,
~ ( ( y != x ) ),
inference(negated_conjecture,[status(cth)],[f353]) ).
thf(f357,plain,
fresh_1376661020_pi_pi @ y @ ( produc235456326_pi_pi @ x @ ( product_Pair_pi_pi @ p @ q ) ),
inference(rectify,[],[f2]) ).
thf(f358,plain,
( ( fresh_1376661020_pi_pi @ y @ ( produc235456326_pi_pi @ x @ ( product_Pair_pi_pi @ p @ q ) ) )
= $true ),
inference(fool_elimination,[],[f357]) ).
thf(f417,plain,
! [X0: name,X1: name,X2: product_prod_pi_pi] :
( ( fresh_1376661020_pi_pi @ X0 @ ( produc235456326_pi_pi @ X1 @ X2 ) )
=> ( fresh_name_name @ X0 @ X1 ) ),
inference(rectify,[],[f32]) ).
thf(f418,plain,
! [X0: name,X1: name,X2: product_prod_pi_pi] :
( ( ( fresh_1376661020_pi_pi @ X0 @ ( produc235456326_pi_pi @ X1 @ X2 ) )
= $true )
=> ( ( fresh_name_name @ X0 @ X1 )
= $true ) ),
inference(fool_elimination,[],[f417]) ).
thf(f775,plain,
( fresh_name_name
= ( ^ [Y0: name,Y1: name] : ( Y0 != Y1 ) ) ),
inference(fool_elimination,[],[f274]) ).
thf(f903,plain,
y = x,
inference(flattening,[],[f354]) ).
thf(f921,plain,
! [X0: name,X1: name,X2: product_prod_pi_pi] :
( ( ( fresh_name_name @ X0 @ X1 )
= $true )
| ( ( fresh_1376661020_pi_pi @ X0 @ ( produc235456326_pi_pi @ X1 @ X2 ) )
!= $true ) ),
inference(ennf_transformation,[],[f418]) ).
thf(f1366,plain,
( ( fresh_1376661020_pi_pi @ y @ ( produc235456326_pi_pi @ x @ ( product_Pair_pi_pi @ p @ q ) ) )
= $true ),
inference(cnf_transformation,[],[f358]) ).
thf(f1396,plain,
! [X2: product_prod_pi_pi,X0: name,X1: name] :
( ( ( fresh_name_name @ X0 @ X1 )
= $true )
| ( ( fresh_1376661020_pi_pi @ X0 @ ( produc235456326_pi_pi @ X1 @ X2 ) )
!= $true ) ),
inference(cnf_transformation,[],[f921]) ).
thf(f1796,plain,
( fresh_name_name
= ( ^ [Y0: name,Y1: name] : ( Y0 != Y1 ) ) ),
inference(cnf_transformation,[],[f775]) ).
thf(f1888,plain,
y = x,
inference(cnf_transformation,[],[f903]) ).
thf(f1891,plain,
( $true
= ( fresh_1376661020_pi_pi @ x @ ( produc235456326_pi_pi @ x @ ( product_Pair_pi_pi @ p @ q ) ) ) ),
inference(definition_unfolding,[],[f1366,f1888]) ).
thf(f1903,plain,
! [X2: product_prod_pi_pi,X0: name,X1: name] :
( ( $true
= ( ^ [Y0: name,Y1: name] : ( Y0 != Y1 )
@ X0
@ X1 ) )
| ( ( fresh_1376661020_pi_pi @ X0 @ ( produc235456326_pi_pi @ X1 @ X2 ) )
!= $true ) ),
inference(definition_unfolding,[],[f1396,f1796]) ).
thf(f4419,plain,
! [X2: product_prod_pi_pi,X0: name,X1: name] :
( ( $true
= ( X0 != X1 ) )
| ( ( fresh_1376661020_pi_pi @ X0 @ ( produc235456326_pi_pi @ X1 @ X2 ) )
!= $true ) ),
inference(beta-eta_normalization,[],[f1903]) ).
thf(f4420,plain,
! [X2: product_prod_pi_pi,X0: name,X1: name] :
( ( ( X0 = X1 )
= $false )
| ( ( fresh_1376661020_pi_pi @ X0 @ ( produc235456326_pi_pi @ X1 @ X2 ) )
!= $true ) ),
inference(not_proxy_clausification,[],[f4419]) ).
thf(f4421,plain,
! [X2: product_prod_pi_pi,X0: name,X1: name] :
( ( ( fresh_1376661020_pi_pi @ X0 @ ( produc235456326_pi_pi @ X1 @ X2 ) )
!= $true )
| ( X0 != X1 ) ),
inference(equality_proxy_clausification,[],[f4420]) ).
thf(f4655,plain,
( ( $true != $true )
| ( x != x ) ),
inference(constrained_superposition,[],[f4421,f1891]) ).
thf(f4656,plain,
$false,
inference(trivial_inequality_removal,[],[f4655]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP181^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n005.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 20:07:32 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.37 % (2143936)Will run a generic schedule for satisfiability detection.
% 0.21/0.37 % (2143943)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=935510435:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.37 % (2143942)% WARNING: option uhcvi not known.
% 0.21/0.37 % (2143941)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1043812152_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.37 % (2143942)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1240850161:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.37 % (2143944)dis+10_1_sil=32000:sp=arity:random_seed=3493181570:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.37 % (2143945)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2245479285:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.37 % (2143946)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1627692421:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.37 % (2143947)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1435137903:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.37 % (2143942)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.21/0.37 % (2143945)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.21/0.37 % (2143944)Instruction limit reached!
% 0.21/0.37 % (2143944)------------------------------
% 0.21/0.37 % (2143944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.37 % (2143944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.37 % (2143944)CaDiCaL version: 2.1.3
% 0.21/0.37 % (2143944)Termination reason: Instruction limit
% 0.21/0.37 % (2143944)Termination phase: Function definition elimination
% 0.21/0.37 % (2143944)Time elapsed: 0.043 s
% 0.21/0.37 % (2143944)Peak memory usage: 11 MB
% 0.21/0.37 % (2143944)Instructions burned: 104 (million)
% 0.21/0.37 % (2143945)Instruction limit reached!
% 0.21/0.37 % (2143945)------------------------------
% 0.21/0.37 % (2143945)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.37 % (2143945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.37 % (2143945)CaDiCaL version: 2.1.3
% 0.21/0.37 % (2143945)Termination reason: Instruction limit
% 0.21/0.37 % (2143945)Termination phase: Property scanning
% 0.21/0.37 % (2143945)Time elapsed: 0.049 s
% 0.21/0.37 % (2143945)Peak memory usage: 12 MB
% 0.21/0.37 % (2143945)Instructions burned: 117 (million)
% 0.21/0.37 % (2143955)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2830190236:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 0.21/0.37 % Exception at run slice level
% 0.21/0.37 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.37 % (2143946)Instruction limit reached!
% 0.21/0.37 % (2143946)------------------------------
% 0.21/0.37 % (2143946)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.37 % (2143946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.37 % (2143946)CaDiCaL version: 2.1.3
% 0.21/0.37 % (2143946)Termination reason: Instruction limit
% 0.21/0.37 % (2143946)Termination phase: Property scanning
% 0.21/0.37 % (2143946)Time elapsed: 0.062 s
% 0.21/0.37 % (2143946)Peak memory usage: 12 MB
% 0.21/0.37 % (2143946)Instructions burned: 131 (million)
% 0.21/0.37 % (2143943) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2143936-2143943"...
% 0.21/0.37 % (2143956)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1508672252:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.21/0.37 % (2143943)...printing done.
% 0.21/0.37 % (2143943)Refutation found. Thanks to Tanya!
% 0.21/0.37 % SZS status Theorem for theBenchmark
% 0.21/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.64/0.38 % (2143943)------------------------------
% 0.64/0.38 % (2143943)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.64/0.38 % (2143943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.64/0.38 % (2143943)CaDiCaL version: 2.1.3
% 0.64/0.38 % (2143943)Termination reason: Refutation
% 0.64/0.38 % (2143943)Time elapsed: 0.078 s
% 0.64/0.38 % (2143943)Peak memory usage: 16 MB
% 0.64/0.38 % (2143943)Instructions burned: 326 (million)
% 0.64/0.38 % (2143936)Success in time 0.135 s
% 0.64/0.38 % Vampire exiting
%------------------------------------------------------------------------------