TSTP Solution File: ITP186^1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ITP186^1 : TPTP v8.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 22:55:19 EDT 2024
% Result : Theorem 44.82s 6.81s
% Output : Refutation 44.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 951
% Syntax : Number of formulae : 971 ( 17 unt; 946 typ; 0 def)
% Number of atoms : 345 ( 23 equ; 0 cnn)
% Maximal formula atoms : 2 ( 13 avg)
% Number of connectives : 19 ( 11 ~; 5 |; 0 &; 0 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Number of types : 17 ( 16 usr)
% Number of type conns : 4039 (4038 >; 1 *; 0 +; 0 <<)
% Number of symbols : 918 ( 915 usr; 15 con; 0-12 aty)
% Number of variables : 35 ( 0 ^ 21 !; 0 ?; 35 :)
% ( 14 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
pi: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(type_def_7,type,
name: $tType ).
thf(type_def_8,type,
noption_pi: $tType ).
thf(type_def_9,type,
late_freeRes: $tType ).
thf(type_def_10,type,
late_subject: $tType ).
thf(type_def_11,type,
set_name: $tType ).
thf(type_def_12,type,
late_residual: $tType ).
thf(type_def_13,type,
noptio354675977ion_pi: $tType ).
thf(type_def_14,type,
noptio2087446135ion_pi: $tType ).
thf(type_def_15,type,
noption_name: $tType ).
thf(type_def_16,type,
noptio1926134715n_name: $tType ).
thf(type_def_17,type,
noption_Late_freeRes: $tType ).
thf(type_def_18,type,
noptio435234344reeRes: $tType ).
thf(type_def_19,type,
noption_Late_subject: $tType ).
thf(type_def_20,type,
noptio570777408ubject: $tType ).
thf(type_def_21,type,
noptio751120898ion_pi: $tType ).
thf(func_def_0,type,
noptio751120898ion_pi: $tType ).
thf(func_def_1,type,
noptio2087446135ion_pi: $tType ).
thf(func_def_2,type,
noptio570777408ubject: $tType ).
thf(func_def_3,type,
noptio435234344reeRes: $tType ).
thf(func_def_4,type,
noptio1926134715n_name: $tType ).
thf(func_def_5,type,
noptio354675977ion_pi: $tType ).
thf(func_def_6,type,
noption_Late_subject: $tType ).
thf(func_def_7,type,
noption_Late_freeRes: $tType ).
thf(func_def_8,type,
noption_name: $tType ).
thf(func_def_9,type,
noption_pi: $tType ).
thf(func_def_10,type,
set_name: $tType ).
thf(func_def_11,type,
late_residual: $tType ).
thf(func_def_12,type,
late_subject: $tType ).
thf(func_def_13,type,
late_freeRes: $tType ).
thf(func_def_14,type,
name: $tType ).
thf(func_def_15,type,
pi: $tType ).
thf(func_def_16,type,
bang: pi > pi ).
thf(func_def_17,type,
input: name > name > pi > pi ).
thf(func_def_18,type,
match: name > name > pi > pi ).
thf(func_def_19,type,
mismatch: name > name > pi > pi ).
thf(func_def_20,type,
output: name > name > pi > pi ).
thf(func_def_21,type,
par: pi > pi > pi ).
thf(func_def_22,type,
piNil: pi ).
thf(func_def_23,type,
res: name > pi > pi ).
thf(func_def_24,type,
sum: pi > pi > pi ).
thf(func_def_25,type,
tau: pi > pi ).
thf(func_def_26,type,
pi_rec_pi: pi > ( name > name > pi > pi > pi ) > ( pi > pi > pi ) > ( name > name > pi > pi > pi ) > ( name > name > pi > pi > pi ) > ( name > name > pi > pi > pi ) > ( pi > pi > pi > pi > pi ) > ( pi > pi > pi > pi > pi ) > ( name > pi > pi > pi ) > ( pi > pi > pi ) > pi > pi ).
thf(func_def_27,type,
pi_rec802206470ion_pi: ( name > noption_pi ) > ( name > name > pi > ( name > noption_pi ) > name > noption_pi ) > ( pi > ( name > noption_pi ) > name > noption_pi ) > ( name > name > pi > ( name > noption_pi ) > name > noption_pi ) > ( name > name > pi > ( name > noption_pi ) > name > noption_pi ) > ( name > name > pi > ( name > noption_pi ) > name > noption_pi ) > ( pi > pi > ( name > noption_pi ) > ( name > noption_pi ) > name > noption_pi ) > ( pi > pi > ( name > noption_pi ) > ( name > noption_pi ) > name > noption_pi ) > ( name > pi > ( name > noption_pi ) > name > noption_pi ) > ( pi > ( name > noption_pi ) > name > noption_pi ) > pi > ( name > noption_pi ) > $o ).
thf(func_def_28,type,
pi_rec_set_name: name > ( name > name > pi > name > name ) > ( pi > name > name ) > ( name > name > pi > name > name ) > ( name > name > pi > name > name ) > ( name > name > pi > name > name ) > ( pi > pi > name > name > name ) > ( pi > pi > name > name > name ) > ( name > pi > name > name ) > ( pi > name > name ) > pi > name > $o ).
thf(func_def_29,type,
pi_rec_set_pi: pi > ( name > name > pi > pi > pi ) > ( pi > pi > pi ) > ( name > name > pi > pi > pi ) > ( name > name > pi > pi > pi ) > ( name > name > pi > pi > pi ) > ( pi > pi > pi > pi > pi ) > ( pi > pi > pi > pi > pi ) > ( name > pi > pi > pi ) > ( pi > pi > pi ) > pi > pi > $o ).
thf(func_def_30,type,
pi_rec1156860983reeRes: late_freeRes > ( name > name > pi > late_freeRes > late_freeRes ) > ( pi > late_freeRes > late_freeRes ) > ( name > name > pi > late_freeRes > late_freeRes ) > ( name > name > pi > late_freeRes > late_freeRes ) > ( name > name > pi > late_freeRes > late_freeRes ) > ( pi > pi > late_freeRes > late_freeRes > late_freeRes ) > ( pi > pi > late_freeRes > late_freeRes > late_freeRes ) > ( name > pi > late_freeRes > late_freeRes ) > ( pi > late_freeRes > late_freeRes ) > pi > late_freeRes > $o ).
thf(func_def_31,type,
pi_rec232630607ubject: late_subject > ( name > name > pi > late_subject > late_subject ) > ( pi > late_subject > late_subject ) > ( name > name > pi > late_subject > late_subject ) > ( name > name > pi > late_subject > late_subject ) > ( name > name > pi > late_subject > late_subject ) > ( pi > pi > late_subject > late_subject > late_subject ) > ( pi > pi > late_subject > late_subject > late_subject ) > ( name > pi > late_subject > late_subject ) > ( pi > late_subject > late_subject ) > pi > late_subject > $o ).
thf(func_def_32,type,
subs: pi > name > name > pi ).
thf(func_def_33,type,
subst_name: name > name > name > name ).
thf(func_def_34,type,
finite_finite_name: set_name > $o ).
thf(func_def_35,type,
if_name: $o > name > name > name ).
thf(func_def_36,type,
late_bangPred: pi > pi > $o ).
thf(func_def_37,type,
late_OutputR: name > name > late_freeRes ).
thf(func_def_38,type,
late_TauR: late_freeRes ).
thf(func_def_39,type,
late_BoundR: late_subject > name > pi > late_residual ).
thf(func_def_40,type,
late_FreeR: late_freeRes > pi > late_residual ).
thf(func_def_41,type,
late_r1174711868c_name: ( late_subject > name > pi > name ) > ( late_freeRes > pi > name ) > late_residual > name ).
thf(func_def_42,type,
late_residual_rec_pi: ( late_subject > name > pi > pi ) > ( late_freeRes > pi > pi ) > late_residual > pi ).
thf(func_def_43,type,
late_r124702629reeRes: ( late_subject > name > pi > late_freeRes ) > ( late_freeRes > pi > late_freeRes ) > late_residual > late_freeRes ).
thf(func_def_44,type,
late_r1347955901ubject: ( late_subject > name > pi > late_subject ) > ( late_freeRes > pi > late_subject ) > late_residual > late_subject ).
thf(func_def_45,type,
late_r750878080ion_pi: ( late_subject > name > pi > name > noption_pi ) > ( late_freeRes > pi > name > noption_pi ) > late_residual > ( name > noption_pi ) > $o ).
thf(func_def_46,type,
late_r1742481968t_name: ( late_subject > name > pi > name ) > ( late_freeRes > pi > name ) > late_residual > name > $o ).
thf(func_def_47,type,
late_r1261898622set_pi: ( late_subject > name > pi > pi ) > ( late_freeRes > pi > pi ) > late_residual > pi > $o ).
thf(func_def_48,type,
late_r1613948593reeRes: ( late_subject > name > pi > late_freeRes ) > ( late_freeRes > pi > late_freeRes ) > late_residual > late_freeRes > $o ).
thf(func_def_49,type,
late_r689718217ubject: ( late_subject > name > pi > late_subject ) > ( late_freeRes > pi > late_subject ) > late_residual > late_subject > $o ).
thf(func_def_50,type,
late_BoundOutputS: name > late_subject ).
thf(func_def_51,type,
late_InputS: name > late_subject ).
thf(func_def_52,type,
late_transitions: pi > late_residual > $o ).
thf(func_def_53,type,
sup_sup_set_name: set_name > set_name > set_name ).
thf(func_def_54,type,
abs_fu446471607ion_pi: name > ( name > noptio354675977ion_pi ) > name > noptio2087446135ion_pi ).
thf(func_def_55,type,
abs_fu1394407909n_name: name > ( name > noption_name ) > name > noptio1926134715n_name ).
thf(func_def_56,type,
abs_fu1614711987ion_pi: name > ( name > noption_pi ) > name > noptio354675977ion_pi ).
thf(func_def_57,type,
abs_fu1763130856reeRes: name > ( name > noption_Late_freeRes ) > name > noptio435234344reeRes ).
thf(func_def_58,type,
abs_fu1705804544ubject: name > ( name > noption_Late_subject ) > name > noptio570777408ubject ).
thf(func_def_59,type,
abs_fu1682643010ion_pi: name > ( late_freeRes > pi > name > noption_pi ) > name > noptio751120898ion_pi ).
thf(func_def_60,type,
abs_fun_name_name: name > name > name > noption_name ).
thf(func_def_61,type,
abs_fun_name_pi: name > pi > name > noption_pi ).
thf(func_def_62,type,
abs_fu681348580reeRes: name > late_freeRes > name > noption_Late_freeRes ).
thf(func_def_63,type,
abs_fu1904601852ubject: name > late_subject > name > noption_Late_subject ).
thf(func_def_64,type,
fresh_1575363742ion_pi: name > ( name > noptio2087446135ion_pi ) > $o ).
thf(func_def_65,type,
fresh_1742414570n_name: name > ( name > noptio1926134715n_name ) > $o ).
thf(func_def_66,type,
fresh_92802872ion_pi: name > ( name > noptio354675977ion_pi ) > $o ).
thf(func_def_67,type,
fresh_1215331279reeRes: name > ( name > noptio435234344reeRes ) > $o ).
thf(func_def_68,type,
fresh_600418535ubject: name > ( name > noptio570777408ubject ) > $o ).
thf(func_def_69,type,
fresh_481208489ion_pi: name > ( name > noptio751120898ion_pi ) > $o ).
thf(func_def_70,type,
fresh_1093033124n_name: name > ( name > noption_name ) > $o ).
thf(func_def_71,type,
fresh_543891186ion_pi: name > ( name > noption_pi ) > $o ).
thf(func_def_72,type,
fresh_785364841reeRes: name > ( name > noption_Late_freeRes ) > $o ).
thf(func_def_73,type,
fresh_728038529ubject: name > ( name > noption_Late_subject ) > $o ).
thf(func_def_74,type,
fresh_7927363ion_pi: name > ( late_freeRes > pi > name > noption_pi ) > $o ).
thf(func_def_75,type,
fresh_1030632537i_name: name > ( late_freeRes > pi > name ) > $o ).
thf(func_def_76,type,
fresh_1011532071_pi_pi: name > ( late_freeRes > pi > pi ) > $o ).
thf(func_def_77,type,
fresh_256112244reeRes: name > ( late_freeRes > pi > late_freeRes ) > $o ).
thf(func_def_78,type,
fresh_198785932ubject: name > ( late_freeRes > pi > late_subject ) > $o ).
thf(func_def_79,type,
fresh_747777846ion_pi: name > ( late_subject > name > pi > name > noption_pi ) > $o ).
thf(func_def_80,type,
fresh_621211324i_name: name > ( late_subject > name > pi > name ) > $o ).
thf(func_def_81,type,
fresh_1438126218_pi_pi: name > ( late_subject > name > pi > pi ) > $o ).
thf(func_def_82,type,
fresh_660367079reeRes: name > ( late_subject > name > pi > late_freeRes ) > $o ).
thf(func_def_83,type,
fresh_795910143ubject: name > ( late_subject > name > pi > late_subject ) > $o ).
thf(func_def_84,type,
fresh_name_name: name > name > $o ).
thf(func_def_85,type,
fresh_name_pi: name > pi > $o ).
thf(func_def_86,type,
fresh_1641682979reeRes: name > late_freeRes > $o ).
thf(func_def_87,type,
fresh_81631222sidual: name > late_residual > $o ).
thf(func_def_88,type,
fresh_717452603ubject: name > late_subject > $o ).
thf(func_def_89,type,
supp_n1987783534i_name: ( name > name > pi > ( name > noption_pi ) > name > noption_pi ) > set_name ).
thf(func_def_90,type,
supp_n612431512e_name: ( name > name > pi > name > name ) > set_name ).
thf(func_def_91,type,
supp_n1977765016i_name: ( name > name > pi > pi > pi ) > set_name ).
thf(func_def_92,type,
supp_n337505932s_name: ( name > name > pi > late_freeRes > late_freeRes ) > set_name ).
thf(func_def_93,type,
supp_n200783964t_name: ( name > name > pi > late_subject > late_subject ) > set_name ).
thf(func_def_94,type,
supp_n52582513i_name: ( name > pi > ( name > noption_pi ) > name > noption_pi ) > set_name ).
thf(func_def_95,type,
supp_n116460699e_name: ( name > pi > name > name ) > set_name ).
thf(func_def_96,type,
supp_n96533147i_name: ( name > pi > pi > pi ) > set_name ).
thf(func_def_97,type,
supp_n1410452111s_name: ( name > pi > late_freeRes > late_freeRes ) > set_name ).
thf(func_def_98,type,
supp_n122125407t_name: ( name > pi > late_subject > late_subject ) > set_name ).
thf(func_def_99,type,
supp_n1003758744i_name: ( name > noptio354675977ion_pi ) > set_name ).
thf(func_def_100,type,
supp_n352473082e_name: ( name > noption_name ) > set_name ).
thf(func_def_101,type,
supp_n468628396i_name: ( name > noption_pi ) > set_name ).
thf(func_def_102,type,
supp_n252280103s_name: ( name > noption_Late_freeRes ) > set_name ).
thf(func_def_103,type,
supp_n1630792207t_name: ( name > noption_Late_subject ) > set_name ).
thf(func_def_104,type,
supp_p1320058820i_name: ( pi > ( name > noption_pi ) > name > noption_pi ) > set_name ).
thf(func_def_105,type,
supp_p1239856366e_name: ( pi > name > name ) > set_name ).
thf(func_def_106,type,
supp_p1592910632i_name: ( pi > pi > ( name > noption_pi ) > ( name > noption_pi ) > name > noption_pi ) > set_name ).
thf(func_def_107,type,
supp_p1618090470e_name: ( pi > pi > name > name > name ) > set_name ).
thf(func_def_108,type,
supp_p812767768i_name: ( pi > pi > pi > pi > pi ) > set_name ).
thf(func_def_109,type,
supp_p1358344533s_name: ( pi > pi > late_freeRes > late_freeRes > late_freeRes ) > set_name ).
thf(func_def_110,type,
supp_p1221108749t_name: ( pi > pi > late_subject > late_subject > late_subject ) > set_name ).
thf(func_def_111,type,
supp_pi_pi_pi_name: ( pi > pi > pi ) > set_name ).
thf(func_def_112,type,
supp_p71246050s_name: ( pi > late_freeRes > late_freeRes ) > set_name ).
thf(func_def_113,type,
supp_p742701746t_name: ( pi > late_subject > late_subject ) > set_name ).
thf(func_def_114,type,
supp_L635439693i_name: ( late_freeRes > pi > name > noption_pi ) > set_name ).
thf(func_def_115,type,
supp_L926407557e_name: ( late_freeRes > pi > name ) > set_name ).
thf(func_def_116,type,
supp_L2052723895i_name: ( late_freeRes > pi > pi ) > set_name ).
thf(func_def_117,type,
supp_L381160156s_name: ( late_freeRes > pi > late_freeRes ) > set_name ).
thf(func_def_118,type,
supp_L1759672260t_name: ( late_freeRes > pi > late_subject ) > set_name ).
thf(func_def_119,type,
supp_L3230824i_name: ( late_subject > name > pi > name > noption_pi ) > set_name ).
thf(func_def_120,type,
supp_L538372628e_name: ( late_subject > name > pi > name ) > set_name ).
thf(func_def_121,type,
supp_L729745222i_name: ( late_subject > name > pi > pi ) > set_name ).
thf(func_def_122,type,
supp_L1178477943s_name: ( late_subject > name > pi > late_freeRes ) > set_name ).
thf(func_def_123,type,
supp_L1144036959t_name: ( late_subject > name > pi > late_subject ) > set_name ).
thf(func_def_124,type,
supp_name_name: name > set_name ).
thf(func_def_125,type,
supp_pi_name: pi > set_name ).
thf(func_def_126,type,
supp_L1228270395s_name: late_freeRes > set_name ).
thf(func_def_127,type,
supp_L1174042202l_name: late_residual > set_name ).
thf(func_def_128,type,
supp_L1174290467t_name: late_subject > set_name ).
thf(func_def_129,type,
suppor1289515356ion_pi: set_name > ( name > noption_pi ) > $o ).
thf(func_def_130,type,
supports_name_name: set_name > name > $o ).
thf(func_def_131,type,
supports_name_pi: set_name > pi > $o ).
thf(func_def_132,type,
suppor1556658829reeRes: set_name > late_freeRes > $o ).
thf(func_def_133,type,
suppor632428453ubject: set_name > late_subject > $o ).
thf(func_def_134,type,
collect_name: ( name > $o ) > set_name ).
thf(func_def_135,type,
member_name: name > set_name > $o ).
thf(func_def_136,type,
p: pi ).
thf(func_def_137,type,
pqr: pi ).
thf(func_def_138,type,
p2: pi ).
thf(func_def_139,type,
q: pi ).
thf(func_def_140,type,
qr: pi ).
thf(func_def_141,type,
q2: pi ).
thf(func_def_142,type,
r: pi ).
thf(func_def_143,type,
alpha: late_freeRes ).
thf(func_def_144,type,
a: name ).
thf(func_def_145,type,
b: name ).
thf(func_def_146,type,
x: name ).
thf(func_def_150,type,
vNOT: $o > $o ).
thf(func_def_151,type,
cCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > X1 > X0 > X2 ) ).
thf(func_def_152,type,
bCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_153,type,
vOR: $o > $o > $o ).
thf(func_def_154,type,
vAND: $o > $o > $o ).
thf(func_def_155,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_156,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_157,type,
sCOMB:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( X0 > X1 > X2 ) > ( X0 > X1 ) > X0 > X2 ) ).
thf(func_def_158,type,
iCOMB:
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_159,type,
kCOMB:
!>[X0: $tType,X1: $tType] : ( X0 > X1 > X0 ) ).
thf(func_def_160,type,
sP0: ( pi > $o ) > $o ).
thf(func_def_161,type,
sP1: ( pi > $o ) > $o ).
thf(func_def_162,type,
sP2: ( pi > $o ) > $o ).
thf(func_def_163,type,
sP3: ( pi > $o ) > $o ).
thf(func_def_164,type,
sP4: ( pi > $o ) > $o ).
thf(func_def_165,type,
sP5: ( pi > $o ) > $o ).
thf(func_def_166,type,
sP6: ( pi > $o ) > $o ).
thf(func_def_167,type,
sP7: ( late_freeRes > pi > $o ) > $o ).
thf(func_def_168,type,
sP8: ( late_freeRes > pi > $o ) > $o ).
thf(func_def_169,type,
sP9: ( late_freeRes > pi > $o ) > $o ).
thf(func_def_170,type,
sP10: ( late_freeRes > pi > $o ) > $o ).
thf(func_def_171,type,
sP11: ( late_freeRes > pi > $o ) > $o ).
thf(func_def_172,type,
sP12: ( late_freeRes > pi > $o ) > $o ).
thf(func_def_173,type,
sP13: ( late_freeRes > pi > $o ) > $o ).
thf(func_def_174,type,
sP14: ( late_freeRes > pi > $o ) > $o ).
thf(func_def_175,type,
sP15: ( late_freeRes > pi > $o ) > $o ).
thf(func_def_176,type,
sP16: ( late_freeRes > pi > $o ) > $o ).
thf(func_def_177,type,
sP17: ( late_freeRes > pi > $o ) > $o ).
thf(func_def_178,type,
sP18: ( late_freeRes > pi > $o ) > $o ).
thf(func_def_179,type,
sP19: ( late_freeRes > pi > $o ) > $o ).
thf(func_def_180,type,
sP20: ( late_freeRes > pi > $o ) > $o ).
thf(func_def_181,type,
sP21: ( late_subject > pi > $o ) > $o ).
thf(func_def_182,type,
sP22: ( late_subject > pi > $o ) > $o ).
thf(func_def_183,type,
sP23: ( late_subject > pi > $o ) > $o ).
thf(func_def_184,type,
sP24: ( late_subject > pi > $o ) > $o ).
thf(func_def_185,type,
sP25: ( late_subject > pi > $o ) > $o ).
thf(func_def_186,type,
sP26: ( late_subject > pi > $o ) > $o ).
thf(func_def_187,type,
sP27: ( late_subject > pi > $o ) > $o ).
thf(func_def_188,type,
sP28: ( late_subject > pi > $o ) > $o ).
thf(func_def_189,type,
sP29: ( late_subject > pi > $o ) > $o ).
thf(func_def_190,type,
sP30: ( late_subject > pi > $o ) > $o ).
thf(func_def_191,type,
sP31: ( late_subject > pi > $o ) > $o ).
thf(func_def_192,type,
sP32: ( late_subject > pi > $o ) > $o ).
thf(func_def_193,type,
sP33: ( late_subject > pi > $o ) > $o ).
thf(func_def_194,type,
sP34: ( late_subject > pi > $o ) > $o ).
thf(func_def_195,type,
sP35: ( name > pi > $o ) > $o ).
thf(func_def_196,type,
sP36: ( name > pi > $o ) > $o ).
thf(func_def_197,type,
sP37: ( name > pi > $o ) > $o ).
thf(func_def_198,type,
sP38: ( name > pi > $o ) > $o ).
thf(func_def_199,type,
sP39: ( name > pi > $o ) > $o ).
thf(func_def_200,type,
sP40: ( name > pi > $o ) > $o ).
thf(func_def_201,type,
sP41: ( name > pi > $o ) > $o ).
thf(func_def_202,type,
sP42: ( name > pi > $o ) > $o ).
thf(func_def_203,type,
sP43: ( name > pi > $o ) > $o ).
thf(func_def_204,type,
sP44: ( name > pi > $o ) > $o ).
thf(func_def_205,type,
sP45: ( name > pi > $o ) > $o ).
thf(func_def_206,type,
sP46: ( name > pi > $o ) > $o ).
thf(func_def_207,type,
sP47: ( name > pi > $o ) > $o ).
thf(func_def_208,type,
sP48: ( name > pi > $o ) > $o ).
thf(func_def_209,type,
sP49: ( pi > pi > $o ) > $o ).
thf(func_def_210,type,
sP50: ( pi > pi > $o ) > $o ).
thf(func_def_211,type,
sP51: ( pi > pi > $o ) > $o ).
thf(func_def_212,type,
sP52: ( pi > pi > $o ) > $o ).
thf(func_def_213,type,
sP53: ( pi > pi > $o ) > $o ).
thf(func_def_214,type,
sP54: ( pi > pi > $o ) > $o ).
thf(func_def_215,type,
sP55: ( pi > pi > $o ) > $o ).
thf(func_def_216,type,
sP56: ( pi > pi > $o ) > $o ).
thf(func_def_217,type,
sP57: ( pi > pi > $o ) > $o ).
thf(func_def_218,type,
sP58: ( pi > pi > $o ) > $o ).
thf(func_def_219,type,
sP59: ( pi > pi > $o ) > $o ).
thf(func_def_220,type,
sP60: ( pi > pi > $o ) > $o ).
thf(func_def_221,type,
sP61: ( pi > pi > $o ) > $o ).
thf(func_def_222,type,
sP62: ( pi > pi > $o ) > $o ).
thf(func_def_223,type,
sP63: name > pi > late_residual > $o ).
thf(func_def_224,type,
sP64: name > pi > late_residual > $o ).
thf(func_def_225,type,
sP65: name > name > pi > late_residual > $o ).
thf(func_def_226,type,
sP66: ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > late_subject > name > $o ).
thf(func_def_227,type,
sP67: late_freeRes > ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > $o ).
thf(func_def_228,type,
sP68: ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > late_subject > name > $o ).
thf(func_def_229,type,
sP69: late_subject > ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > $o ).
thf(func_def_230,type,
sP70: ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > late_subject > name > $o ).
thf(func_def_231,type,
sP71: name > ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > $o ).
thf(func_def_232,type,
sP72: ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > late_subject > name > $o ).
thf(func_def_233,type,
sP73: late_freeRes > ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > $o ).
thf(func_def_234,type,
sP74: ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > late_subject > name > $o ).
thf(func_def_235,type,
sP75: late_subject > ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > $o ).
thf(func_def_236,type,
sP76: ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > late_subject > name > $o ).
thf(func_def_237,type,
sP77: name > ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > $o ).
thf(func_def_238,type,
sP78: ( name > $o ) > ( late_subject > name > pi > name ) > late_subject > name > $o ).
thf(func_def_239,type,
sP79: late_freeRes > ( name > $o ) > ( late_subject > name > pi > name ) > $o ).
thf(func_def_240,type,
sP80: ( name > $o ) > ( late_subject > name > pi > name ) > late_subject > name > $o ).
thf(func_def_241,type,
sP81: late_subject > ( name > $o ) > ( late_subject > name > pi > name ) > $o ).
thf(func_def_242,type,
sP82: ( pi > $o ) > ( late_subject > name > pi > pi ) > late_subject > name > $o ).
thf(func_def_243,type,
sP83: late_freeRes > ( pi > $o ) > ( late_subject > name > pi > pi ) > $o ).
thf(func_def_244,type,
sP84: ( pi > $o ) > ( late_subject > name > pi > pi ) > late_subject > name > $o ).
thf(func_def_245,type,
sP85: late_subject > ( pi > $o ) > ( late_subject > name > pi > pi ) > $o ).
thf(func_def_246,type,
sP86: name > pi > late_subject > name > pi > $o ).
thf(func_def_247,type,
sP87: pi > pi > late_subject > name > pi > $o ).
thf(func_def_248,type,
sP88: pi > pi > late_subject > name > pi > $o ).
thf(func_def_249,type,
sP89: late_freeRes > ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > $o ).
thf(func_def_250,type,
sP90: late_subject > ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > $o ).
thf(func_def_251,type,
sP91: name > ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > $o ).
thf(func_def_252,type,
sP92: late_freeRes > ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > $o ).
thf(func_def_253,type,
sP93: late_subject > ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > $o ).
thf(func_def_254,type,
sP94: name > ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > $o ).
thf(func_def_255,type,
sP95: late_freeRes > ( name > $o ) > ( late_subject > name > pi > name ) > $o ).
thf(func_def_256,type,
sP96: late_subject > ( name > $o ) > ( late_subject > name > pi > name ) > $o ).
thf(func_def_257,type,
sP97: late_freeRes > ( pi > $o ) > ( late_subject > name > pi > pi ) > $o ).
thf(func_def_258,type,
sP98: late_subject > ( pi > $o ) > ( late_subject > name > pi > pi ) > $o ).
thf(func_def_259,type,
sP99: late_freeRes > ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > $o ).
thf(func_def_260,type,
sP100: late_subject > ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > $o ).
thf(func_def_261,type,
sP101: name > ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > $o ).
thf(func_def_262,type,
sP102: late_freeRes > ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > $o ).
thf(func_def_263,type,
sP103: late_subject > ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > $o ).
thf(func_def_264,type,
sP104: name > ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > $o ).
thf(func_def_265,type,
sP105: late_freeRes > ( name > $o ) > ( late_subject > name > pi > name ) > $o ).
thf(func_def_266,type,
sP106: late_subject > ( name > $o ) > ( late_subject > name > pi > name ) > $o ).
thf(func_def_267,type,
sP107: late_freeRes > ( pi > $o ) > ( late_subject > name > pi > pi ) > $o ).
thf(func_def_268,type,
sP108: late_subject > ( pi > $o ) > ( late_subject > name > pi > pi ) > $o ).
thf(func_def_269,type,
sK109: late_subject > name ).
thf(func_def_270,type,
sK110: late_subject > name ).
thf(func_def_271,type,
sK111: late_freeRes > name ).
thf(func_def_272,type,
sK112: late_freeRes > name ).
thf(func_def_273,type,
sK113: late_freeRes > name ).
thf(func_def_274,type,
sK114: late_freeRes > name ).
thf(func_def_275,type,
sK115: late_subject > name ).
thf(func_def_276,type,
sK116: late_subject > name ).
thf(func_def_277,type,
sK117: name > name ).
thf(func_def_278,type,
sK118: name > name ).
thf(func_def_279,type,
sK119: pi > name ).
thf(func_def_280,type,
sK120: pi > name ).
thf(func_def_281,type,
sK121: ( name > noptio354675977ion_pi ) > name ).
thf(func_def_282,type,
sK122: ( name > noptio354675977ion_pi ) > name ).
thf(func_def_283,type,
sK123: ( name > noption_name ) > name ).
thf(func_def_284,type,
sK124: ( name > noption_Late_subject ) > name ).
thf(func_def_285,type,
sK125: ( name > noption_Late_freeRes ) > name ).
thf(func_def_286,type,
sK126: ( name > noption_Late_freeRes ) > name ).
thf(func_def_287,type,
sK127: ( name > noption_name ) > name ).
thf(func_def_288,type,
sK128: ( name > noption_Late_subject ) > name ).
thf(func_def_289,type,
sK129: ( name > noption_pi ) > name ).
thf(func_def_290,type,
sK130: ( name > noption_pi ) > name ).
thf(func_def_291,type,
sK131: ( late_freeRes > pi > name > noption_pi ) > name ).
thf(func_def_292,type,
sK132: ( late_freeRes > pi > name > noption_pi ) > name ).
thf(func_def_293,type,
sK133: late_freeRes > name ).
thf(func_def_294,type,
sK134: late_subject > name ).
thf(func_def_295,type,
sK135: name > name ).
thf(func_def_296,type,
sK136: pi > name ).
thf(func_def_297,type,
sK137: ( name > $o ) > ( name > $o ) > name ).
thf(func_def_298,type,
sK138: ( late_subject > $o ) > name ).
thf(func_def_299,type,
sK139: ( late_subject > $o ) > name ).
thf(func_def_300,type,
sK140: ( late_freeRes > $o ) > name ).
thf(func_def_301,type,
sK141: ( late_freeRes > $o ) > name ).
thf(func_def_302,type,
sK142: ( late_residual > $o ) > late_freeRes ).
thf(func_def_303,type,
sK143: ( late_residual > $o ) > pi ).
thf(func_def_304,type,
sK144: ( late_residual > $o ) > late_subject ).
thf(func_def_305,type,
sK145: ( late_residual > $o ) > name ).
thf(func_def_306,type,
sK146: ( late_residual > $o ) > pi ).
thf(func_def_307,type,
sK147: ( pi > $o ) > name ).
thf(func_def_308,type,
sK148: ( pi > $o ) > name ).
thf(func_def_309,type,
sK149: ( pi > $o ) > pi ).
thf(func_def_310,type,
sK150: ( pi > $o ) > name ).
thf(func_def_311,type,
sK151: ( pi > $o ) > name ).
thf(func_def_312,type,
sK152: ( pi > $o ) > pi ).
thf(func_def_313,type,
sK153: ( pi > $o ) > name ).
thf(func_def_314,type,
sK154: ( pi > $o ) > name ).
thf(func_def_315,type,
sK155: ( pi > $o ) > pi ).
thf(func_def_316,type,
sK156: ( pi > $o ) > pi ).
thf(func_def_317,type,
sK157: ( pi > $o ) > name ).
thf(func_def_318,type,
sK158: ( pi > $o ) > name ).
thf(func_def_319,type,
sK159: ( pi > $o ) > pi ).
thf(func_def_320,type,
sK160: ( pi > $o ) > pi ).
thf(func_def_321,type,
sK161: ( pi > $o ) > pi ).
thf(func_def_322,type,
sK162: ( pi > $o ) > pi ).
thf(func_def_323,type,
sK163: ( pi > $o ) > pi ).
thf(func_def_324,type,
sK164: ( pi > $o ) > pi ).
thf(func_def_325,type,
sK165: ( pi > $o ) > name ).
thf(func_def_326,type,
sK166: ( pi > $o ) > pi ).
thf(func_def_327,type,
sK167: late_residual > pi > pi ).
thf(func_def_328,type,
sK168: late_residual > pi > pi ).
thf(func_def_329,type,
sK169: ( late_freeRes > pi > $o ) > name ).
thf(func_def_330,type,
sK170: ( late_freeRes > pi > $o ) > name ).
thf(func_def_331,type,
sK171: ( late_freeRes > pi > $o ) > pi ).
thf(func_def_332,type,
sK172: ( late_freeRes > pi > $o ) > late_freeRes ).
thf(func_def_333,type,
sK173: ( late_freeRes > pi > $o ) > pi ).
thf(func_def_334,type,
sK174: ( late_freeRes > pi > $o ) > late_freeRes ).
thf(func_def_335,type,
sK175: ( late_freeRes > pi > $o ) > name ).
thf(func_def_336,type,
sK176: ( late_freeRes > pi > $o ) > name ).
thf(func_def_337,type,
sK177: ( late_freeRes > pi > $o ) > pi ).
thf(func_def_338,type,
sK178: ( late_freeRes > pi > $o ) > late_freeRes ).
thf(func_def_339,type,
sK179: ( late_freeRes > pi > $o ) > name ).
thf(func_def_340,type,
sK180: ( late_freeRes > pi > $o ) > pi ).
thf(func_def_341,type,
sK181: ( late_freeRes > pi > $o ) > late_freeRes ).
thf(func_def_342,type,
sK182: ( late_freeRes > pi > $o ) > pi ).
thf(func_def_343,type,
sK183: ( late_freeRes > pi > $o ) > pi ).
thf(func_def_344,type,
sK184: ( late_freeRes > pi > $o ) > late_freeRes ).
thf(func_def_345,type,
sK185: ( late_freeRes > pi > $o ) > pi ).
thf(func_def_346,type,
sK186: ( late_freeRes > pi > $o ) > pi ).
thf(func_def_347,type,
sK187: ( late_freeRes > pi > $o ) > late_freeRes ).
thf(func_def_348,type,
sK188: ( late_freeRes > pi > $o ) > name ).
thf(func_def_349,type,
sK189: ( late_freeRes > pi > $o ) > name ).
thf(func_def_350,type,
sK190: ( late_freeRes > pi > $o ) > pi ).
thf(func_def_351,type,
sK191: ( late_freeRes > pi > $o ) > late_freeRes ).
thf(func_def_352,type,
sK192: ( late_freeRes > pi > $o ) > pi ).
thf(func_def_353,type,
sK193: ( late_freeRes > pi > $o ) > late_freeRes ).
thf(func_def_354,type,
sK194: ( late_freeRes > pi > $o ) > name ).
thf(func_def_355,type,
sK195: ( late_freeRes > pi > $o ) > name ).
thf(func_def_356,type,
sK196: ( late_freeRes > pi > $o ) > pi ).
thf(func_def_357,type,
sK197: ( late_freeRes > pi > $o ) > late_freeRes ).
thf(func_def_358,type,
sK198: ( late_freeRes > pi > $o ) > late_freeRes ).
thf(func_def_359,type,
sK199: ( late_freeRes > pi > $o ) > name ).
thf(func_def_360,type,
sK200: ( late_freeRes > pi > $o ) > name ).
thf(func_def_361,type,
sK201: ( late_freeRes > pi > $o ) > pi ).
thf(func_def_362,type,
sK202: ( late_freeRes > pi > $o ) > late_freeRes ).
thf(func_def_363,type,
sK203: ( late_freeRes > pi > $o ) > pi ).
thf(func_def_364,type,
sK204: ( late_freeRes > pi > $o ) > late_freeRes ).
thf(func_def_365,type,
sK205: ( late_freeRes > pi > $o ) > name ).
thf(func_def_366,type,
sK206: ( late_freeRes > pi > $o ) > name ).
thf(func_def_367,type,
sK207: ( late_freeRes > pi > $o ) > pi ).
thf(func_def_368,type,
sK208: ( late_freeRes > pi > $o ) > late_freeRes ).
thf(func_def_369,type,
sK209: ( late_freeRes > pi > $o ) > name ).
thf(func_def_370,type,
sK210: ( late_freeRes > pi > $o ) > pi ).
thf(func_def_371,type,
sK211: ( late_freeRes > pi > $o ) > late_freeRes ).
thf(func_def_372,type,
sK212: ( late_freeRes > pi > $o ) > pi ).
thf(func_def_373,type,
sK213: ( late_freeRes > pi > $o ) > pi ).
thf(func_def_374,type,
sK214: ( late_freeRes > pi > $o ) > late_freeRes ).
thf(func_def_375,type,
sK215: ( late_freeRes > pi > $o ) > pi ).
thf(func_def_376,type,
sK216: ( late_freeRes > pi > $o ) > pi ).
thf(func_def_377,type,
sK217: ( late_freeRes > pi > $o ) > late_freeRes ).
thf(func_def_378,type,
sK218: ( late_freeRes > pi > $o ) > name ).
thf(func_def_379,type,
sK219: ( late_freeRes > pi > $o ) > name ).
thf(func_def_380,type,
sK220: ( late_freeRes > pi > $o ) > pi ).
thf(func_def_381,type,
sK221: ( late_freeRes > pi > $o ) > late_freeRes ).
thf(func_def_382,type,
sK222: ( late_freeRes > pi > $o ) > pi ).
thf(func_def_383,type,
sK223: ( late_freeRes > pi > $o ) > late_freeRes ).
thf(func_def_384,type,
sK224: ( late_freeRes > pi > $o ) > name ).
thf(func_def_385,type,
sK225: ( late_freeRes > pi > $o ) > name ).
thf(func_def_386,type,
sK226: ( late_freeRes > pi > $o ) > pi ).
thf(func_def_387,type,
sK227: ( late_freeRes > pi > $o ) > late_freeRes ).
thf(func_def_388,type,
sK228: ( late_freeRes > pi > $o ) > late_freeRes ).
thf(func_def_389,type,
sK229: ( late_subject > pi > $o ) > name ).
thf(func_def_390,type,
sK230: ( late_subject > pi > $o ) > name ).
thf(func_def_391,type,
sK231: ( late_subject > pi > $o ) > pi ).
thf(func_def_392,type,
sK232: ( late_subject > pi > $o ) > late_subject ).
thf(func_def_393,type,
sK233: ( late_subject > pi > $o ) > pi ).
thf(func_def_394,type,
sK234: ( late_subject > pi > $o ) > late_subject ).
thf(func_def_395,type,
sK235: ( late_subject > pi > $o ) > name ).
thf(func_def_396,type,
sK236: ( late_subject > pi > $o ) > name ).
thf(func_def_397,type,
sK237: ( late_subject > pi > $o ) > pi ).
thf(func_def_398,type,
sK238: ( late_subject > pi > $o ) > late_subject ).
thf(func_def_399,type,
sK239: ( late_subject > pi > $o ) > name ).
thf(func_def_400,type,
sK240: ( late_subject > pi > $o ) > pi ).
thf(func_def_401,type,
sK241: ( late_subject > pi > $o ) > late_subject ).
thf(func_def_402,type,
sK242: ( late_subject > pi > $o ) > pi ).
thf(func_def_403,type,
sK243: ( late_subject > pi > $o ) > pi ).
thf(func_def_404,type,
sK244: ( late_subject > pi > $o ) > late_subject ).
thf(func_def_405,type,
sK245: ( late_subject > pi > $o ) > pi ).
thf(func_def_406,type,
sK246: ( late_subject > pi > $o ) > pi ).
thf(func_def_407,type,
sK247: ( late_subject > pi > $o ) > late_subject ).
thf(func_def_408,type,
sK248: ( late_subject > pi > $o ) > name ).
thf(func_def_409,type,
sK249: ( late_subject > pi > $o ) > name ).
thf(func_def_410,type,
sK250: ( late_subject > pi > $o ) > pi ).
thf(func_def_411,type,
sK251: ( late_subject > pi > $o ) > late_subject ).
thf(func_def_412,type,
sK252: ( late_subject > pi > $o ) > pi ).
thf(func_def_413,type,
sK253: ( late_subject > pi > $o ) > late_subject ).
thf(func_def_414,type,
sK254: ( late_subject > pi > $o ) > name ).
thf(func_def_415,type,
sK255: ( late_subject > pi > $o ) > name ).
thf(func_def_416,type,
sK256: ( late_subject > pi > $o ) > pi ).
thf(func_def_417,type,
sK257: ( late_subject > pi > $o ) > late_subject ).
thf(func_def_418,type,
sK258: ( late_subject > pi > $o ) > late_subject ).
thf(func_def_419,type,
sK259: ( late_subject > pi > $o ) > name ).
thf(func_def_420,type,
sK260: ( late_subject > pi > $o ) > name ).
thf(func_def_421,type,
sK261: ( late_subject > pi > $o ) > pi ).
thf(func_def_422,type,
sK262: ( late_subject > pi > $o ) > late_subject ).
thf(func_def_423,type,
sK263: ( late_subject > pi > $o ) > pi ).
thf(func_def_424,type,
sK264: ( late_subject > pi > $o ) > late_subject ).
thf(func_def_425,type,
sK265: ( late_subject > pi > $o ) > name ).
thf(func_def_426,type,
sK266: ( late_subject > pi > $o ) > name ).
thf(func_def_427,type,
sK267: ( late_subject > pi > $o ) > pi ).
thf(func_def_428,type,
sK268: ( late_subject > pi > $o ) > late_subject ).
thf(func_def_429,type,
sK269: ( late_subject > pi > $o ) > name ).
thf(func_def_430,type,
sK270: ( late_subject > pi > $o ) > pi ).
thf(func_def_431,type,
sK271: ( late_subject > pi > $o ) > late_subject ).
thf(func_def_432,type,
sK272: ( late_subject > pi > $o ) > pi ).
thf(func_def_433,type,
sK273: ( late_subject > pi > $o ) > pi ).
thf(func_def_434,type,
sK274: ( late_subject > pi > $o ) > late_subject ).
thf(func_def_435,type,
sK275: ( late_subject > pi > $o ) > pi ).
thf(func_def_436,type,
sK276: ( late_subject > pi > $o ) > pi ).
thf(func_def_437,type,
sK277: ( late_subject > pi > $o ) > late_subject ).
thf(func_def_438,type,
sK278: ( late_subject > pi > $o ) > name ).
thf(func_def_439,type,
sK279: ( late_subject > pi > $o ) > name ).
thf(func_def_440,type,
sK280: ( late_subject > pi > $o ) > pi ).
thf(func_def_441,type,
sK281: ( late_subject > pi > $o ) > late_subject ).
thf(func_def_442,type,
sK282: ( late_subject > pi > $o ) > pi ).
thf(func_def_443,type,
sK283: ( late_subject > pi > $o ) > late_subject ).
thf(func_def_444,type,
sK284: ( late_subject > pi > $o ) > name ).
thf(func_def_445,type,
sK285: ( late_subject > pi > $o ) > name ).
thf(func_def_446,type,
sK286: ( late_subject > pi > $o ) > pi ).
thf(func_def_447,type,
sK287: ( late_subject > pi > $o ) > late_subject ).
thf(func_def_448,type,
sK288: ( late_subject > pi > $o ) > late_subject ).
thf(func_def_449,type,
sK289: ( name > pi > $o ) > name ).
thf(func_def_450,type,
sK290: ( name > pi > $o ) > name ).
thf(func_def_451,type,
sK291: ( name > pi > $o ) > pi ).
thf(func_def_452,type,
sK292: ( name > pi > $o ) > name ).
thf(func_def_453,type,
sK293: ( name > pi > $o ) > pi ).
thf(func_def_454,type,
sK294: ( name > pi > $o ) > name ).
thf(func_def_455,type,
sK295: ( name > pi > $o ) > name ).
thf(func_def_456,type,
sK296: ( name > pi > $o ) > name ).
thf(func_def_457,type,
sK297: ( name > pi > $o ) > pi ).
thf(func_def_458,type,
sK298: ( name > pi > $o ) > name ).
thf(func_def_459,type,
sK299: ( name > pi > $o ) > name ).
thf(func_def_460,type,
sK300: ( name > pi > $o ) > pi ).
thf(func_def_461,type,
sK301: ( name > pi > $o ) > name ).
thf(func_def_462,type,
sK302: ( name > pi > $o ) > pi ).
thf(func_def_463,type,
sK303: ( name > pi > $o ) > pi ).
thf(func_def_464,type,
sK304: ( name > pi > $o ) > name ).
thf(func_def_465,type,
sK305: ( name > pi > $o ) > pi ).
thf(func_def_466,type,
sK306: ( name > pi > $o ) > pi ).
thf(func_def_467,type,
sK307: ( name > pi > $o ) > name ).
thf(func_def_468,type,
sK308: ( name > pi > $o ) > name ).
thf(func_def_469,type,
sK309: ( name > pi > $o ) > name ).
thf(func_def_470,type,
sK310: ( name > pi > $o ) > pi ).
thf(func_def_471,type,
sK311: ( name > pi > $o ) > name ).
thf(func_def_472,type,
sK312: ( name > pi > $o ) > pi ).
thf(func_def_473,type,
sK313: ( name > pi > $o ) > name ).
thf(func_def_474,type,
sK314: ( name > pi > $o ) > name ).
thf(func_def_475,type,
sK315: ( name > pi > $o ) > name ).
thf(func_def_476,type,
sK316: ( name > pi > $o ) > pi ).
thf(func_def_477,type,
sK317: ( name > pi > $o ) > name ).
thf(func_def_478,type,
sK318: ( name > pi > $o ) > name ).
thf(func_def_479,type,
sK319: ( name > pi > $o ) > name ).
thf(func_def_480,type,
sK320: ( name > pi > $o ) > name ).
thf(func_def_481,type,
sK321: ( name > pi > $o ) > pi ).
thf(func_def_482,type,
sK322: ( name > pi > $o ) > name ).
thf(func_def_483,type,
sK323: ( name > pi > $o ) > pi ).
thf(func_def_484,type,
sK324: ( name > pi > $o ) > name ).
thf(func_def_485,type,
sK325: ( name > pi > $o ) > name ).
thf(func_def_486,type,
sK326: ( name > pi > $o ) > name ).
thf(func_def_487,type,
sK327: ( name > pi > $o ) > pi ).
thf(func_def_488,type,
sK328: ( name > pi > $o ) > name ).
thf(func_def_489,type,
sK329: ( name > pi > $o ) > name ).
thf(func_def_490,type,
sK330: ( name > pi > $o ) > pi ).
thf(func_def_491,type,
sK331: ( name > pi > $o ) > name ).
thf(func_def_492,type,
sK332: ( name > pi > $o ) > pi ).
thf(func_def_493,type,
sK333: ( name > pi > $o ) > pi ).
thf(func_def_494,type,
sK334: ( name > pi > $o ) > name ).
thf(func_def_495,type,
sK335: ( name > pi > $o ) > pi ).
thf(func_def_496,type,
sK336: ( name > pi > $o ) > pi ).
thf(func_def_497,type,
sK337: ( name > pi > $o ) > name ).
thf(func_def_498,type,
sK338: ( name > pi > $o ) > name ).
thf(func_def_499,type,
sK339: ( name > pi > $o ) > name ).
thf(func_def_500,type,
sK340: ( name > pi > $o ) > pi ).
thf(func_def_501,type,
sK341: ( name > pi > $o ) > name ).
thf(func_def_502,type,
sK342: ( name > pi > $o ) > pi ).
thf(func_def_503,type,
sK343: ( name > pi > $o ) > name ).
thf(func_def_504,type,
sK344: ( name > pi > $o ) > name ).
thf(func_def_505,type,
sK345: ( name > pi > $o ) > name ).
thf(func_def_506,type,
sK346: ( name > pi > $o ) > pi ).
thf(func_def_507,type,
sK347: ( name > pi > $o ) > name ).
thf(func_def_508,type,
sK348: ( name > pi > $o ) > name ).
thf(func_def_509,type,
sK349: ( pi > pi > $o ) > name ).
thf(func_def_510,type,
sK350: ( pi > pi > $o ) > name ).
thf(func_def_511,type,
sK351: ( pi > pi > $o ) > pi ).
thf(func_def_512,type,
sK352: ( pi > pi > $o ) > pi ).
thf(func_def_513,type,
sK353: ( pi > pi > $o ) > pi ).
thf(func_def_514,type,
sK354: ( pi > pi > $o ) > pi ).
thf(func_def_515,type,
sK355: ( pi > pi > $o ) > name ).
thf(func_def_516,type,
sK356: ( pi > pi > $o ) > name ).
thf(func_def_517,type,
sK357: ( pi > pi > $o ) > pi ).
thf(func_def_518,type,
sK358: ( pi > pi > $o ) > pi ).
thf(func_def_519,type,
sK359: ( pi > pi > $o ) > name ).
thf(func_def_520,type,
sK360: ( pi > pi > $o ) > pi ).
thf(func_def_521,type,
sK361: ( pi > pi > $o ) > pi ).
thf(func_def_522,type,
sK362: ( pi > pi > $o ) > pi ).
thf(func_def_523,type,
sK363: ( pi > pi > $o ) > pi ).
thf(func_def_524,type,
sK364: ( pi > pi > $o ) > pi ).
thf(func_def_525,type,
sK365: ( pi > pi > $o ) > pi ).
thf(func_def_526,type,
sK366: ( pi > pi > $o ) > pi ).
thf(func_def_527,type,
sK367: ( pi > pi > $o ) > pi ).
thf(func_def_528,type,
sK368: ( pi > pi > $o ) > name ).
thf(func_def_529,type,
sK369: ( pi > pi > $o ) > name ).
thf(func_def_530,type,
sK370: ( pi > pi > $o ) > pi ).
thf(func_def_531,type,
sK371: ( pi > pi > $o ) > pi ).
thf(func_def_532,type,
sK372: ( pi > pi > $o ) > pi ).
thf(func_def_533,type,
sK373: ( pi > pi > $o ) > pi ).
thf(func_def_534,type,
sK374: ( pi > pi > $o ) > name ).
thf(func_def_535,type,
sK375: ( pi > pi > $o ) > name ).
thf(func_def_536,type,
sK376: ( pi > pi > $o ) > pi ).
thf(func_def_537,type,
sK377: ( pi > pi > $o ) > pi ).
thf(func_def_538,type,
sK378: ( pi > pi > $o ) > pi ).
thf(func_def_539,type,
sK379: ( pi > pi > $o ) > name ).
thf(func_def_540,type,
sK380: ( pi > pi > $o ) > name ).
thf(func_def_541,type,
sK381: ( pi > pi > $o ) > pi ).
thf(func_def_542,type,
sK382: ( pi > pi > $o ) > pi ).
thf(func_def_543,type,
sK383: ( pi > pi > $o ) > pi ).
thf(func_def_544,type,
sK384: ( pi > pi > $o ) > pi ).
thf(func_def_545,type,
sK385: ( pi > pi > $o ) > name ).
thf(func_def_546,type,
sK386: ( pi > pi > $o ) > name ).
thf(func_def_547,type,
sK387: ( pi > pi > $o ) > pi ).
thf(func_def_548,type,
sK388: ( pi > pi > $o ) > pi ).
thf(func_def_549,type,
sK389: ( pi > pi > $o ) > name ).
thf(func_def_550,type,
sK390: ( pi > pi > $o ) > pi ).
thf(func_def_551,type,
sK391: ( pi > pi > $o ) > pi ).
thf(func_def_552,type,
sK392: ( pi > pi > $o ) > pi ).
thf(func_def_553,type,
sK393: ( pi > pi > $o ) > pi ).
thf(func_def_554,type,
sK394: ( pi > pi > $o ) > pi ).
thf(func_def_555,type,
sK395: ( pi > pi > $o ) > pi ).
thf(func_def_556,type,
sK396: ( pi > pi > $o ) > pi ).
thf(func_def_557,type,
sK397: ( pi > pi > $o ) > pi ).
thf(func_def_558,type,
sK398: ( pi > pi > $o ) > name ).
thf(func_def_559,type,
sK399: ( pi > pi > $o ) > name ).
thf(func_def_560,type,
sK400: ( pi > pi > $o ) > pi ).
thf(func_def_561,type,
sK401: ( pi > pi > $o ) > pi ).
thf(func_def_562,type,
sK402: ( pi > pi > $o ) > pi ).
thf(func_def_563,type,
sK403: ( pi > pi > $o ) > pi ).
thf(func_def_564,type,
sK404: ( pi > pi > $o ) > name ).
thf(func_def_565,type,
sK405: ( pi > pi > $o ) > name ).
thf(func_def_566,type,
sK406: ( pi > pi > $o ) > pi ).
thf(func_def_567,type,
sK407: ( pi > pi > $o ) > pi ).
thf(func_def_568,type,
sK408: ( pi > pi > $o ) > pi ).
thf(func_def_569,type,
sK409: ( late_freeRes > late_residual > $o ) > late_freeRes ).
thf(func_def_570,type,
sK410: ( late_freeRes > late_residual > $o ) > pi ).
thf(func_def_571,type,
sK411: ( late_freeRes > late_residual > $o ) > late_freeRes ).
thf(func_def_572,type,
sK412: ( late_freeRes > late_residual > $o ) > late_subject ).
thf(func_def_573,type,
sK413: ( late_freeRes > late_residual > $o ) > name ).
thf(func_def_574,type,
sK414: ( late_freeRes > late_residual > $o ) > pi ).
thf(func_def_575,type,
sK415: ( late_freeRes > late_residual > $o ) > late_freeRes ).
thf(func_def_576,type,
sK416: ( late_freeRes > late_residual > $o ) > late_freeRes ).
thf(func_def_577,type,
sK417: ( late_freeRes > late_residual > $o ) > pi ).
thf(func_def_578,type,
sK418: ( late_freeRes > late_residual > $o ) > late_freeRes ).
thf(func_def_579,type,
sK419: ( late_freeRes > late_residual > $o ) > late_subject ).
thf(func_def_580,type,
sK420: ( late_freeRes > late_residual > $o ) > name ).
thf(func_def_581,type,
sK421: ( late_freeRes > late_residual > $o ) > pi ).
thf(func_def_582,type,
sK422: ( late_freeRes > late_residual > $o ) > late_freeRes ).
thf(func_def_583,type,
sK423: ( late_subject > late_residual > $o ) > late_freeRes ).
thf(func_def_584,type,
sK424: ( late_subject > late_residual > $o ) > pi ).
thf(func_def_585,type,
sK425: ( late_subject > late_residual > $o ) > late_subject ).
thf(func_def_586,type,
sK426: ( late_subject > late_residual > $o ) > late_subject ).
thf(func_def_587,type,
sK427: ( late_subject > late_residual > $o ) > name ).
thf(func_def_588,type,
sK428: ( late_subject > late_residual > $o ) > pi ).
thf(func_def_589,type,
sK429: ( late_subject > late_residual > $o ) > late_subject ).
thf(func_def_590,type,
sK430: ( late_subject > late_residual > $o ) > late_freeRes ).
thf(func_def_591,type,
sK431: ( late_subject > late_residual > $o ) > pi ).
thf(func_def_592,type,
sK432: ( late_subject > late_residual > $o ) > late_subject ).
thf(func_def_593,type,
sK433: ( late_subject > late_residual > $o ) > late_subject ).
thf(func_def_594,type,
sK434: ( late_subject > late_residual > $o ) > name ).
thf(func_def_595,type,
sK435: ( late_subject > late_residual > $o ) > pi ).
thf(func_def_596,type,
sK436: ( late_subject > late_residual > $o ) > late_subject ).
thf(func_def_597,type,
sK437: ( name > late_residual > $o ) > late_freeRes ).
thf(func_def_598,type,
sK438: ( name > late_residual > $o ) > pi ).
thf(func_def_599,type,
sK439: ( name > late_residual > $o ) > name ).
thf(func_def_600,type,
sK440: ( name > late_residual > $o ) > late_subject ).
thf(func_def_601,type,
sK441: ( name > late_residual > $o ) > name ).
thf(func_def_602,type,
sK442: ( name > late_residual > $o ) > pi ).
thf(func_def_603,type,
sK443: ( name > late_residual > $o ) > name ).
thf(func_def_604,type,
sK444: ( name > late_residual > $o ) > late_freeRes ).
thf(func_def_605,type,
sK445: ( name > late_residual > $o ) > pi ).
thf(func_def_606,type,
sK446: ( name > late_residual > $o ) > name ).
thf(func_def_607,type,
sK447: ( name > late_residual > $o ) > late_subject ).
thf(func_def_608,type,
sK448: ( name > late_residual > $o ) > name ).
thf(func_def_609,type,
sK449: ( name > late_residual > $o ) > pi ).
thf(func_def_610,type,
sK450: ( name > late_residual > $o ) > name ).
thf(func_def_611,type,
sK451: ( pi > late_residual > $o ) > late_freeRes ).
thf(func_def_612,type,
sK452: ( pi > late_residual > $o ) > pi ).
thf(func_def_613,type,
sK453: ( pi > late_residual > $o ) > pi ).
thf(func_def_614,type,
sK454: ( pi > late_residual > $o ) > late_subject ).
thf(func_def_615,type,
sK455: ( pi > late_residual > $o ) > name ).
thf(func_def_616,type,
sK456: ( pi > late_residual > $o ) > pi ).
thf(func_def_617,type,
sK457: ( pi > late_residual > $o ) > pi ).
thf(func_def_618,type,
sK458: ( pi > late_residual > $o ) > late_freeRes ).
thf(func_def_619,type,
sK459: ( pi > late_residual > $o ) > pi ).
thf(func_def_620,type,
sK460: ( pi > late_residual > $o ) > pi ).
thf(func_def_621,type,
sK461: ( pi > late_residual > $o ) > late_subject ).
thf(func_def_622,type,
sK462: ( pi > late_residual > $o ) > name ).
thf(func_def_623,type,
sK463: ( pi > late_residual > $o ) > pi ).
thf(func_def_624,type,
sK464: ( pi > late_residual > $o ) > pi ).
thf(func_def_625,type,
sK465: ( pi > pi > $o ) > pi ).
thf(func_def_626,type,
sK466: ( pi > pi > $o ) > pi ).
thf(func_def_627,type,
sK467: name > pi > late_residual > pi ).
thf(func_def_628,type,
sK468: name > pi > late_residual > name ).
thf(func_def_629,type,
sK469: name > pi > late_residual > name ).
thf(func_def_630,type,
sK470: name > pi > late_residual > pi ).
thf(func_def_631,type,
sK471: name > pi > late_residual > pi ).
thf(func_def_632,type,
sK472: name > pi > late_residual > late_subject ).
thf(func_def_633,type,
sK473: name > pi > late_residual > name ).
thf(func_def_634,type,
sK474: name > pi > late_residual > pi ).
thf(func_def_635,type,
sK475: name > pi > late_residual > name ).
thf(func_def_636,type,
sK476: late_residual > pi > name > pi ).
thf(func_def_637,type,
sK477: late_residual > pi > name > late_freeRes ).
thf(func_def_638,type,
sK478: late_residual > pi > name > pi ).
thf(func_def_639,type,
sK479: late_residual > pi > name > name ).
thf(func_def_640,type,
sK480: late_residual > pi > name > name > pi ).
thf(func_def_641,type,
sK481: name > name > pi > late_residual > pi ).
thf(func_def_642,type,
sK482: name > name > pi > late_residual > name ).
thf(func_def_643,type,
sK483: name > name > pi > late_residual > name ).
thf(func_def_644,type,
sK484: late_residual > pi > name > name > name ).
thf(func_def_645,type,
sK485: late_residual > pi > name > name > name ).
thf(func_def_646,type,
sK486: late_residual > pi > name > name > pi ).
thf(func_def_647,type,
sK487: late_residual > pi > name > name > name ).
thf(func_def_648,type,
sK488: late_residual > pi > name > name > name ).
thf(func_def_649,type,
sK489: late_residual > pi > name > name > pi ).
thf(func_def_650,type,
sK490: pi > late_freeRes > pi > name > pi ).
thf(func_def_651,type,
sK491: pi > late_freeRes > pi > name > late_freeRes ).
thf(func_def_652,type,
sK492: pi > late_freeRes > pi > name > pi ).
thf(func_def_653,type,
sK493: pi > late_freeRes > pi > name > name ).
thf(func_def_654,type,
sK494: late_freeRes > ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > late_subject ).
thf(func_def_655,type,
sK495: late_freeRes > ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > name ).
thf(func_def_656,type,
sK496: ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > late_subject > name > pi ).
thf(func_def_657,type,
sK497: late_residual > ( late_freeRes > pi > late_freeRes ) > ( late_subject > name > pi > late_freeRes ) > late_freeRes ).
thf(func_def_658,type,
sK498: ( late_freeRes > $o ) > ( late_freeRes > pi > late_freeRes ) > late_freeRes ).
thf(func_def_659,type,
sK499: ( late_freeRes > $o ) > ( late_freeRes > pi > late_freeRes ) > pi ).
thf(func_def_660,type,
sK500: ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > late_subject ).
thf(func_def_661,type,
sK501: ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > name ).
thf(func_def_662,type,
sK502: ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > pi ).
thf(func_def_663,type,
sK503: late_subject > ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > late_subject ).
thf(func_def_664,type,
sK504: late_subject > ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > name ).
thf(func_def_665,type,
sK505: ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > late_subject > name > pi ).
thf(func_def_666,type,
sK506: late_residual > ( late_freeRes > pi > late_freeRes ) > ( late_subject > name > pi > late_freeRes ) > late_freeRes ).
thf(func_def_667,type,
sK507: ( late_freeRes > $o ) > ( late_freeRes > pi > late_freeRes ) > late_freeRes ).
thf(func_def_668,type,
sK508: ( late_freeRes > $o ) > ( late_freeRes > pi > late_freeRes ) > pi ).
thf(func_def_669,type,
sK509: ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > late_subject ).
thf(func_def_670,type,
sK510: ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > name ).
thf(func_def_671,type,
sK511: ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > pi ).
thf(func_def_672,type,
sK512: name > ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > late_subject ).
thf(func_def_673,type,
sK513: name > ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > name ).
thf(func_def_674,type,
sK514: ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > late_subject > name > pi ).
thf(func_def_675,type,
sK515: late_residual > ( late_freeRes > pi > late_freeRes ) > ( late_subject > name > pi > late_freeRes ) > late_freeRes ).
thf(func_def_676,type,
sK516: ( late_freeRes > $o ) > ( late_freeRes > pi > late_freeRes ) > late_freeRes ).
thf(func_def_677,type,
sK517: ( late_freeRes > $o ) > ( late_freeRes > pi > late_freeRes ) > pi ).
thf(func_def_678,type,
sK518: ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > late_subject ).
thf(func_def_679,type,
sK519: ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > name ).
thf(func_def_680,type,
sK520: ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > pi ).
thf(func_def_681,type,
sK521: late_freeRes > late_residual > ( late_freeRes > pi > late_freeRes ) > ( late_subject > name > pi > late_freeRes ) > late_freeRes ).
thf(func_def_682,type,
sK522: late_freeRes > ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > late_subject ).
thf(func_def_683,type,
sK523: late_freeRes > ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > name ).
thf(func_def_684,type,
sK524: ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > late_subject > name > pi ).
thf(func_def_685,type,
sK525: late_residual > ( late_freeRes > pi > late_subject ) > ( late_subject > name > pi > late_subject ) > late_subject ).
thf(func_def_686,type,
sK526: ( late_subject > $o ) > ( late_freeRes > pi > late_subject ) > late_freeRes ).
thf(func_def_687,type,
sK527: ( late_subject > $o ) > ( late_freeRes > pi > late_subject ) > pi ).
thf(func_def_688,type,
sK528: ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > late_subject ).
thf(func_def_689,type,
sK529: ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > name ).
thf(func_def_690,type,
sK530: ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > pi ).
thf(func_def_691,type,
sK531: late_subject > ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > late_subject ).
thf(func_def_692,type,
sK532: late_subject > ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > name ).
thf(func_def_693,type,
sK533: ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > late_subject > name > pi ).
thf(func_def_694,type,
sK534: late_residual > ( late_freeRes > pi > late_subject ) > ( late_subject > name > pi > late_subject ) > late_subject ).
thf(func_def_695,type,
sK535: ( late_subject > $o ) > ( late_freeRes > pi > late_subject ) > late_freeRes ).
thf(func_def_696,type,
sK536: ( late_subject > $o ) > ( late_freeRes > pi > late_subject ) > pi ).
thf(func_def_697,type,
sK537: ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > late_subject ).
thf(func_def_698,type,
sK538: ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > name ).
thf(func_def_699,type,
sK539: ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > pi ).
thf(func_def_700,type,
sK540: name > ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > late_subject ).
thf(func_def_701,type,
sK541: name > ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > name ).
thf(func_def_702,type,
sK542: ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > late_subject > name > pi ).
thf(func_def_703,type,
sK543: late_residual > ( late_freeRes > pi > late_subject ) > ( late_subject > name > pi > late_subject ) > late_subject ).
thf(func_def_704,type,
sK544: ( late_subject > $o ) > ( late_freeRes > pi > late_subject ) > late_freeRes ).
thf(func_def_705,type,
sK545: ( late_subject > $o ) > ( late_freeRes > pi > late_subject ) > pi ).
thf(func_def_706,type,
sK546: ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > late_subject ).
thf(func_def_707,type,
sK547: ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > name ).
thf(func_def_708,type,
sK548: ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > pi ).
thf(func_def_709,type,
sK549: late_subject > late_residual > ( late_freeRes > pi > late_subject ) > ( late_subject > name > pi > late_subject ) > late_subject ).
thf(func_def_710,type,
sK550: late_freeRes > ( name > $o ) > ( late_subject > name > pi > name ) > late_subject ).
thf(func_def_711,type,
sK551: late_freeRes > ( name > $o ) > ( late_subject > name > pi > name ) > name ).
thf(func_def_712,type,
sK552: ( name > $o ) > ( late_subject > name > pi > name ) > late_subject > name > pi ).
thf(func_def_713,type,
sK553: late_residual > ( late_freeRes > pi > name ) > ( late_subject > name > pi > name ) > name ).
thf(func_def_714,type,
sK554: ( name > $o ) > ( late_freeRes > pi > name ) > late_freeRes ).
thf(func_def_715,type,
sK555: ( name > $o ) > ( late_freeRes > pi > name ) > pi ).
thf(func_def_716,type,
sK556: ( name > $o ) > ( late_subject > name > pi > name ) > late_subject ).
thf(func_def_717,type,
sK557: ( name > $o ) > ( late_subject > name > pi > name ) > name ).
thf(func_def_718,type,
sK558: ( name > $o ) > ( late_subject > name > pi > name ) > pi ).
thf(func_def_719,type,
sK559: late_subject > ( name > $o ) > ( late_subject > name > pi > name ) > late_subject ).
thf(func_def_720,type,
sK560: late_subject > ( name > $o ) > ( late_subject > name > pi > name ) > name ).
thf(func_def_721,type,
sK561: ( name > $o ) > ( late_subject > name > pi > name ) > late_subject > name > pi ).
thf(func_def_722,type,
sK562: late_residual > ( late_freeRes > pi > name ) > ( late_subject > name > pi > name ) > name ).
thf(func_def_723,type,
sK563: ( name > $o ) > ( late_freeRes > pi > name ) > late_freeRes ).
thf(func_def_724,type,
sK564: ( name > $o ) > ( late_freeRes > pi > name ) > pi ).
thf(func_def_725,type,
sK565: ( name > $o ) > ( late_subject > name > pi > name ) > late_subject ).
thf(func_def_726,type,
sK566: ( name > $o ) > ( late_subject > name > pi > name ) > name ).
thf(func_def_727,type,
sK567: ( name > $o ) > ( late_subject > name > pi > name ) > pi ).
thf(func_def_728,type,
sK568: name > late_residual > ( late_freeRes > pi > name ) > ( late_subject > name > pi > name ) > name ).
thf(func_def_729,type,
sK569: late_freeRes > ( pi > $o ) > ( late_subject > name > pi > pi ) > late_subject ).
thf(func_def_730,type,
sK570: late_freeRes > ( pi > $o ) > ( late_subject > name > pi > pi ) > name ).
thf(func_def_731,type,
sK571: ( pi > $o ) > ( late_subject > name > pi > pi ) > late_subject > name > pi ).
thf(func_def_732,type,
sK572: late_residual > ( late_freeRes > pi > pi ) > ( late_subject > name > pi > pi ) > pi ).
thf(func_def_733,type,
sK573: ( pi > $o ) > ( late_freeRes > pi > pi ) > late_freeRes ).
thf(func_def_734,type,
sK574: ( pi > $o ) > ( late_freeRes > pi > pi ) > pi ).
thf(func_def_735,type,
sK575: ( pi > $o ) > ( late_subject > name > pi > pi ) > late_subject ).
thf(func_def_736,type,
sK576: ( pi > $o ) > ( late_subject > name > pi > pi ) > name ).
thf(func_def_737,type,
sK577: ( pi > $o ) > ( late_subject > name > pi > pi ) > pi ).
thf(func_def_738,type,
sK578: late_subject > ( pi > $o ) > ( late_subject > name > pi > pi ) > late_subject ).
thf(func_def_739,type,
sK579: late_subject > ( pi > $o ) > ( late_subject > name > pi > pi ) > name ).
thf(func_def_740,type,
sK580: ( pi > $o ) > ( late_subject > name > pi > pi ) > late_subject > name > pi ).
thf(func_def_741,type,
sK581: late_residual > ( late_freeRes > pi > pi ) > ( late_subject > name > pi > pi ) > pi ).
thf(func_def_742,type,
sK582: ( pi > $o ) > ( late_freeRes > pi > pi ) > late_freeRes ).
thf(func_def_743,type,
sK583: ( pi > $o ) > ( late_freeRes > pi > pi ) > pi ).
thf(func_def_744,type,
sK584: ( pi > $o ) > ( late_subject > name > pi > pi ) > late_subject ).
thf(func_def_745,type,
sK585: ( pi > $o ) > ( late_subject > name > pi > pi ) > name ).
thf(func_def_746,type,
sK586: ( pi > $o ) > ( late_subject > name > pi > pi ) > pi ).
thf(func_def_747,type,
sK587: pi > late_residual > ( late_freeRes > pi > pi ) > ( late_subject > name > pi > pi ) > pi ).
thf(func_def_748,type,
sK588: ( name > noption_pi ) > late_residual > ( late_freeRes > pi > name > noption_pi ) > ( late_subject > name > pi > name > noption_pi ) > name > noption_pi ).
thf(func_def_749,type,
sK589: ( pi > $o ) > late_freeRes > pi > name > pi ).
thf(func_def_750,type,
sK590: name > pi > late_subject > name > pi > pi ).
thf(func_def_751,type,
sK591: name > pi > late_subject > name > pi > late_subject ).
thf(func_def_752,type,
sK592: name > pi > late_subject > name > pi > name ).
thf(func_def_753,type,
sK593: name > pi > late_subject > name > pi > pi ).
thf(func_def_754,type,
sK594: name > pi > late_subject > name > pi > name ).
thf(func_def_755,type,
sK595: pi > name > late_subject > pi > name > pi ).
thf(func_def_756,type,
sK596: pi > name > late_subject > pi > name > name ).
thf(func_def_757,type,
sK597: pi > name > late_subject > pi > name > name ).
thf(func_def_758,type,
sK598: pi > name > late_subject > pi > name > pi ).
thf(func_def_759,type,
sK599: pi > pi > late_subject > name > pi > pi ).
thf(func_def_760,type,
sK600: pi > pi > late_subject > name > pi > late_subject ).
thf(func_def_761,type,
sK601: pi > pi > late_subject > name > pi > name ).
thf(func_def_762,type,
sK602: pi > pi > late_subject > name > pi > pi ).
thf(func_def_763,type,
sK603: pi > pi > late_subject > name > pi > pi ).
thf(func_def_764,type,
sK604: pi > pi > late_subject > name > pi > pi ).
thf(func_def_765,type,
sK605: pi > pi > late_subject > name > pi > late_subject ).
thf(func_def_766,type,
sK606: pi > pi > late_subject > name > pi > name ).
thf(func_def_767,type,
sK607: pi > pi > late_subject > name > pi > pi ).
thf(func_def_768,type,
sK608: pi > pi > late_subject > name > pi > pi ).
thf(func_def_769,type,
sK609: late_freeRes > ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > late_subject ).
thf(func_def_770,type,
sK610: late_freeRes > ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > name ).
thf(func_def_771,type,
sK611: late_freeRes > ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > pi ).
thf(func_def_772,type,
sK612: ( late_freeRes > $o ) > ( late_freeRes > pi > late_freeRes ) > late_freeRes ).
thf(func_def_773,type,
sK613: ( late_freeRes > $o ) > ( late_freeRes > pi > late_freeRes ) > pi ).
thf(func_def_774,type,
sK614: ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > late_subject ).
thf(func_def_775,type,
sK615: ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > name ).
thf(func_def_776,type,
sK616: ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > pi ).
thf(func_def_777,type,
sK617: late_subject > ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > late_subject ).
thf(func_def_778,type,
sK618: late_subject > ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > name ).
thf(func_def_779,type,
sK619: late_subject > ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > pi ).
thf(func_def_780,type,
sK620: ( late_freeRes > $o ) > ( late_freeRes > pi > late_freeRes ) > late_freeRes ).
thf(func_def_781,type,
sK621: ( late_freeRes > $o ) > ( late_freeRes > pi > late_freeRes ) > pi ).
thf(func_def_782,type,
sK622: ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > late_subject ).
thf(func_def_783,type,
sK623: ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > name ).
thf(func_def_784,type,
sK624: ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > pi ).
thf(func_def_785,type,
sK625: name > ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > late_subject ).
thf(func_def_786,type,
sK626: name > ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > name ).
thf(func_def_787,type,
sK627: name > ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > pi ).
thf(func_def_788,type,
sK628: ( late_freeRes > $o ) > ( late_freeRes > pi > late_freeRes ) > late_freeRes ).
thf(func_def_789,type,
sK629: ( late_freeRes > $o ) > ( late_freeRes > pi > late_freeRes ) > pi ).
thf(func_def_790,type,
sK630: ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > late_subject ).
thf(func_def_791,type,
sK631: ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > name ).
thf(func_def_792,type,
sK632: ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > pi ).
thf(func_def_793,type,
sK633: late_freeRes > ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > late_subject ).
thf(func_def_794,type,
sK634: late_freeRes > ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > name ).
thf(func_def_795,type,
sK635: late_freeRes > ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > pi ).
thf(func_def_796,type,
sK636: ( late_subject > $o ) > ( late_freeRes > pi > late_subject ) > late_freeRes ).
thf(func_def_797,type,
sK637: ( late_subject > $o ) > ( late_freeRes > pi > late_subject ) > pi ).
thf(func_def_798,type,
sK638: ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > late_subject ).
thf(func_def_799,type,
sK639: ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > name ).
thf(func_def_800,type,
sK640: ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > pi ).
thf(func_def_801,type,
sK641: late_subject > ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > late_subject ).
thf(func_def_802,type,
sK642: late_subject > ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > name ).
thf(func_def_803,type,
sK643: late_subject > ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > pi ).
thf(func_def_804,type,
sK644: ( late_subject > $o ) > ( late_freeRes > pi > late_subject ) > late_freeRes ).
thf(func_def_805,type,
sK645: ( late_subject > $o ) > ( late_freeRes > pi > late_subject ) > pi ).
thf(func_def_806,type,
sK646: ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > late_subject ).
thf(func_def_807,type,
sK647: ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > name ).
thf(func_def_808,type,
sK648: ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > pi ).
thf(func_def_809,type,
sK649: name > ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > late_subject ).
thf(func_def_810,type,
sK650: name > ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > name ).
thf(func_def_811,type,
sK651: name > ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > pi ).
thf(func_def_812,type,
sK652: ( late_subject > $o ) > ( late_freeRes > pi > late_subject ) > late_freeRes ).
thf(func_def_813,type,
sK653: ( late_subject > $o ) > ( late_freeRes > pi > late_subject ) > pi ).
thf(func_def_814,type,
sK654: ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > late_subject ).
thf(func_def_815,type,
sK655: ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > name ).
thf(func_def_816,type,
sK656: ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > pi ).
thf(func_def_817,type,
sK657: late_freeRes > ( name > $o ) > ( late_subject > name > pi > name ) > late_subject ).
thf(func_def_818,type,
sK658: late_freeRes > ( name > $o ) > ( late_subject > name > pi > name ) > name ).
thf(func_def_819,type,
sK659: late_freeRes > ( name > $o ) > ( late_subject > name > pi > name ) > pi ).
thf(func_def_820,type,
sK660: ( name > $o ) > ( late_freeRes > pi > name ) > late_freeRes ).
thf(func_def_821,type,
sK661: ( name > $o ) > ( late_freeRes > pi > name ) > pi ).
thf(func_def_822,type,
sK662: ( name > $o ) > ( late_subject > name > pi > name ) > late_subject ).
thf(func_def_823,type,
sK663: ( name > $o ) > ( late_subject > name > pi > name ) > name ).
thf(func_def_824,type,
sK664: ( name > $o ) > ( late_subject > name > pi > name ) > pi ).
thf(func_def_825,type,
sK665: late_subject > ( name > $o ) > ( late_subject > name > pi > name ) > late_subject ).
thf(func_def_826,type,
sK666: late_subject > ( name > $o ) > ( late_subject > name > pi > name ) > name ).
thf(func_def_827,type,
sK667: late_subject > ( name > $o ) > ( late_subject > name > pi > name ) > pi ).
thf(func_def_828,type,
sK668: ( name > $o ) > ( late_freeRes > pi > name ) > late_freeRes ).
thf(func_def_829,type,
sK669: ( name > $o ) > ( late_freeRes > pi > name ) > pi ).
thf(func_def_830,type,
sK670: ( name > $o ) > ( late_subject > name > pi > name ) > late_subject ).
thf(func_def_831,type,
sK671: ( name > $o ) > ( late_subject > name > pi > name ) > name ).
thf(func_def_832,type,
sK672: ( name > $o ) > ( late_subject > name > pi > name ) > pi ).
thf(func_def_833,type,
sK673: late_freeRes > ( pi > $o ) > ( late_subject > name > pi > pi ) > late_subject ).
thf(func_def_834,type,
sK674: late_freeRes > ( pi > $o ) > ( late_subject > name > pi > pi ) > name ).
thf(func_def_835,type,
sK675: late_freeRes > ( pi > $o ) > ( late_subject > name > pi > pi ) > pi ).
thf(func_def_836,type,
sK676: ( pi > $o ) > ( late_freeRes > pi > pi ) > late_freeRes ).
thf(func_def_837,type,
sK677: ( pi > $o ) > ( late_freeRes > pi > pi ) > pi ).
thf(func_def_838,type,
sK678: ( pi > $o ) > ( late_subject > name > pi > pi ) > late_subject ).
thf(func_def_839,type,
sK679: ( pi > $o ) > ( late_subject > name > pi > pi ) > name ).
thf(func_def_840,type,
sK680: ( pi > $o ) > ( late_subject > name > pi > pi ) > pi ).
thf(func_def_841,type,
sK681: late_subject > ( pi > $o ) > ( late_subject > name > pi > pi ) > late_subject ).
thf(func_def_842,type,
sK682: late_subject > ( pi > $o ) > ( late_subject > name > pi > pi ) > name ).
thf(func_def_843,type,
sK683: late_subject > ( pi > $o ) > ( late_subject > name > pi > pi ) > pi ).
thf(func_def_844,type,
sK684: ( pi > $o ) > ( late_freeRes > pi > pi ) > late_freeRes ).
thf(func_def_845,type,
sK685: ( pi > $o ) > ( late_freeRes > pi > pi ) > pi ).
thf(func_def_846,type,
sK686: ( pi > $o ) > ( late_subject > name > pi > pi ) > late_subject ).
thf(func_def_847,type,
sK687: ( pi > $o ) > ( late_subject > name > pi > pi ) > name ).
thf(func_def_848,type,
sK688: ( pi > $o ) > ( late_subject > name > pi > pi ) > pi ).
thf(func_def_849,type,
sK689: ( pi > $o ) > name > late_subject > pi > pi > pi ).
thf(func_def_850,type,
sK690: ( pi > $o ) > name > late_subject > pi > pi > pi ).
thf(func_def_851,type,
sK691: late_freeRes > ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > late_subject ).
thf(func_def_852,type,
sK692: late_freeRes > ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > name ).
thf(func_def_853,type,
sK693: late_freeRes > ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > pi ).
thf(func_def_854,type,
sK694: ( late_freeRes > $o ) > ( late_freeRes > pi > late_freeRes ) > late_freeRes ).
thf(func_def_855,type,
sK695: ( late_freeRes > $o ) > ( late_freeRes > pi > late_freeRes ) > pi ).
thf(func_def_856,type,
sK696: ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > late_subject ).
thf(func_def_857,type,
sK697: ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > name ).
thf(func_def_858,type,
sK698: ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > pi ).
thf(func_def_859,type,
sK699: late_subject > ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > late_subject ).
thf(func_def_860,type,
sK700: late_subject > ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > name ).
thf(func_def_861,type,
sK701: late_subject > ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > pi ).
thf(func_def_862,type,
sK702: ( late_freeRes > $o ) > ( late_freeRes > pi > late_freeRes ) > late_freeRes ).
thf(func_def_863,type,
sK703: ( late_freeRes > $o ) > ( late_freeRes > pi > late_freeRes ) > pi ).
thf(func_def_864,type,
sK704: ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > late_subject ).
thf(func_def_865,type,
sK705: ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > name ).
thf(func_def_866,type,
sK706: ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > pi ).
thf(func_def_867,type,
sK707: name > ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > late_subject ).
thf(func_def_868,type,
sK708: name > ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > name ).
thf(func_def_869,type,
sK709: name > ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > pi ).
thf(func_def_870,type,
sK710: ( late_freeRes > $o ) > ( late_freeRes > pi > late_freeRes ) > late_freeRes ).
thf(func_def_871,type,
sK711: ( late_freeRes > $o ) > ( late_freeRes > pi > late_freeRes ) > pi ).
thf(func_def_872,type,
sK712: ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > late_subject ).
thf(func_def_873,type,
sK713: ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > name ).
thf(func_def_874,type,
sK714: ( late_freeRes > $o ) > ( late_subject > name > pi > late_freeRes ) > pi ).
thf(func_def_875,type,
sK715: late_freeRes > ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > late_subject ).
thf(func_def_876,type,
sK716: late_freeRes > ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > name ).
thf(func_def_877,type,
sK717: late_freeRes > ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > pi ).
thf(func_def_878,type,
sK718: ( late_subject > $o ) > ( late_freeRes > pi > late_subject ) > late_freeRes ).
thf(func_def_879,type,
sK719: ( late_subject > $o ) > ( late_freeRes > pi > late_subject ) > pi ).
thf(func_def_880,type,
sK720: ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > late_subject ).
thf(func_def_881,type,
sK721: ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > name ).
thf(func_def_882,type,
sK722: ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > pi ).
thf(func_def_883,type,
sK723: late_subject > ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > late_subject ).
thf(func_def_884,type,
sK724: late_subject > ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > name ).
thf(func_def_885,type,
sK725: late_subject > ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > pi ).
thf(func_def_886,type,
sK726: ( late_subject > $o ) > ( late_freeRes > pi > late_subject ) > late_freeRes ).
thf(func_def_887,type,
sK727: ( late_subject > $o ) > ( late_freeRes > pi > late_subject ) > pi ).
thf(func_def_888,type,
sK728: ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > late_subject ).
thf(func_def_889,type,
sK729: ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > name ).
thf(func_def_890,type,
sK730: ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > pi ).
thf(func_def_891,type,
sK731: name > ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > late_subject ).
thf(func_def_892,type,
sK732: name > ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > name ).
thf(func_def_893,type,
sK733: name > ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > pi ).
thf(func_def_894,type,
sK734: ( late_subject > $o ) > ( late_freeRes > pi > late_subject ) > late_freeRes ).
thf(func_def_895,type,
sK735: ( late_subject > $o ) > ( late_freeRes > pi > late_subject ) > pi ).
thf(func_def_896,type,
sK736: ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > late_subject ).
thf(func_def_897,type,
sK737: ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > name ).
thf(func_def_898,type,
sK738: ( late_subject > $o ) > ( late_subject > name > pi > late_subject ) > pi ).
thf(func_def_899,type,
sK739: late_freeRes > ( name > $o ) > ( late_subject > name > pi > name ) > late_subject ).
thf(func_def_900,type,
sK740: late_freeRes > ( name > $o ) > ( late_subject > name > pi > name ) > name ).
thf(func_def_901,type,
sK741: late_freeRes > ( name > $o ) > ( late_subject > name > pi > name ) > pi ).
thf(func_def_902,type,
sK742: ( name > $o ) > ( late_freeRes > pi > name ) > late_freeRes ).
thf(func_def_903,type,
sK743: ( name > $o ) > ( late_freeRes > pi > name ) > pi ).
thf(func_def_904,type,
sK744: ( name > $o ) > ( late_subject > name > pi > name ) > late_subject ).
thf(func_def_905,type,
sK745: ( name > $o ) > ( late_subject > name > pi > name ) > name ).
thf(func_def_906,type,
sK746: ( name > $o ) > ( late_subject > name > pi > name ) > pi ).
thf(func_def_907,type,
sK747: late_subject > ( name > $o ) > ( late_subject > name > pi > name ) > late_subject ).
thf(func_def_908,type,
sK748: late_subject > ( name > $o ) > ( late_subject > name > pi > name ) > name ).
thf(func_def_909,type,
sK749: late_subject > ( name > $o ) > ( late_subject > name > pi > name ) > pi ).
thf(func_def_910,type,
sK750: ( name > $o ) > ( late_freeRes > pi > name ) > late_freeRes ).
thf(func_def_911,type,
sK751: ( name > $o ) > ( late_freeRes > pi > name ) > pi ).
thf(func_def_912,type,
sK752: ( name > $o ) > ( late_subject > name > pi > name ) > late_subject ).
thf(func_def_913,type,
sK753: ( name > $o ) > ( late_subject > name > pi > name ) > name ).
thf(func_def_914,type,
sK754: ( name > $o ) > ( late_subject > name > pi > name ) > pi ).
thf(func_def_915,type,
sK755: late_freeRes > ( pi > $o ) > ( late_subject > name > pi > pi ) > late_subject ).
thf(func_def_916,type,
sK756: late_freeRes > ( pi > $o ) > ( late_subject > name > pi > pi ) > name ).
thf(func_def_917,type,
sK757: late_freeRes > ( pi > $o ) > ( late_subject > name > pi > pi ) > pi ).
thf(func_def_918,type,
sK758: ( pi > $o ) > ( late_freeRes > pi > pi ) > late_freeRes ).
thf(func_def_919,type,
sK759: ( pi > $o ) > ( late_freeRes > pi > pi ) > pi ).
thf(func_def_920,type,
sK760: ( pi > $o ) > ( late_subject > name > pi > pi ) > late_subject ).
thf(func_def_921,type,
sK761: ( pi > $o ) > ( late_subject > name > pi > pi ) > name ).
thf(func_def_922,type,
sK762: ( pi > $o ) > ( late_subject > name > pi > pi ) > pi ).
thf(func_def_923,type,
sK763: late_subject > ( pi > $o ) > ( late_subject > name > pi > pi ) > late_subject ).
thf(func_def_924,type,
sK764: late_subject > ( pi > $o ) > ( late_subject > name > pi > pi ) > name ).
thf(func_def_925,type,
sK765: late_subject > ( pi > $o ) > ( late_subject > name > pi > pi ) > pi ).
thf(func_def_926,type,
sK766: ( pi > $o ) > ( late_freeRes > pi > pi ) > late_freeRes ).
thf(func_def_927,type,
sK767: ( pi > $o ) > ( late_freeRes > pi > pi ) > pi ).
thf(func_def_928,type,
sK768: ( pi > $o ) > ( late_subject > name > pi > pi ) > late_subject ).
thf(func_def_929,type,
sK769: ( pi > $o ) > ( late_subject > name > pi > pi ) > name ).
thf(func_def_930,type,
sK770: ( pi > $o ) > ( late_subject > name > pi > pi ) > pi ).
thf(func_def_932,type,
vIMP: $o > $o > $o ).
thf(f10322,plain,
$false,
inference(subsumption_resolution,[],[f10321,f3486]) ).
thf(f3486,plain,
$true = vAPP(late_residual,$o,vAPP(pi,sTfun(late_residual,$o),late_transitions,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p),q)),vAPP(pi,late_residual,vAPP(late_freeRes,sTfun(pi,late_residual),late_FreeR,alpha),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p2),vAPP(name,pi,vAPP(name,sTfun(name,pi),vAPP(pi,sTfun(name,sTfun(name,pi)),subs,q2),x),b)))),
inference(forward_demodulation,[],[f3006,f2202]) ).
thf(f2202,plain,
alpha = late_TauR,
inference(cnf_transformation,[],[f1]) ).
thf(f1,axiom,
alpha = late_TauR,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_cComm2_Ohyps_I9_J) ).
thf(f3006,plain,
vAPP(late_residual,$o,vAPP(pi,sTfun(late_residual,$o),late_transitions,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p),q)),vAPP(pi,late_residual,vAPP(late_freeRes,sTfun(pi,late_residual),late_FreeR,late_TauR),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p2),vAPP(name,pi,vAPP(name,sTfun(name,pi),vAPP(pi,sTfun(name,sTfun(name,pi)),subs,q2),x),b)))) = $true,
inference(cnf_transformation,[],[f885]) ).
thf(f885,plain,
vAPP(late_residual,$o,vAPP(pi,sTfun(late_residual,$o),late_transitions,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p),q)),vAPP(pi,late_residual,vAPP(late_freeRes,sTfun(pi,late_residual),late_FreeR,late_TauR),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p2),vAPP(name,pi,vAPP(name,sTfun(name,pi),vAPP(pi,sTfun(name,sTfun(name,pi)),subs,q2),x),b)))) = $true,
inference(fool_elimination,[],[f884]) ).
thf(f884,plain,
vAPP(late_residual,$o,vAPP(pi,sTfun(late_residual,$o),late_transitions,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p),q)),vAPP(pi,late_residual,vAPP(late_freeRes,sTfun(pi,late_residual),late_FreeR,late_TauR),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p2),vAPP(name,pi,vAPP(name,sTfun(name,pi),vAPP(pi,sTfun(name,sTfun(name,pi)),subs,q2),x),b)))),
inference(rectify,[],[f4]) ).
thf(f4,axiom,
vAPP(late_residual,$o,vAPP(pi,sTfun(late_residual,$o),late_transitions,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p),q)),vAPP(pi,late_residual,vAPP(late_freeRes,sTfun(pi,late_residual),late_FreeR,late_TauR),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p2),vAPP(name,pi,vAPP(name,sTfun(name,pi),vAPP(pi,sTfun(name,sTfun(name,pi)),subs,q2),x),b)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3__092_060open_062P_A_092_060parallel_062_AQ_A_092_060longmapsto_062_A_092_060tau_062_A_092_060prec_062_AP_H_A_092_060parallel_062_AQ_H_091x_058_058_061b_093_092_060close_062) ).
thf(f10321,plain,
$true != vAPP(late_residual,$o,vAPP(pi,sTfun(late_residual,$o),late_transitions,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p),q)),vAPP(pi,late_residual,vAPP(late_freeRes,sTfun(pi,late_residual),late_FreeR,alpha),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p2),vAPP(name,pi,vAPP(name,sTfun(name,pi),vAPP(pi,sTfun(name,sTfun(name,pi)),subs,q2),x),b)))),
inference(trivial_inequality_removal,[],[f10310]) ).
thf(f10310,plain,
( ( $true = $false )
| ( $true != vAPP(late_residual,$o,vAPP(pi,sTfun(late_residual,$o),late_transitions,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p),q)),vAPP(pi,late_residual,vAPP(late_freeRes,sTfun(pi,late_residual),late_FreeR,alpha),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p2),vAPP(name,pi,vAPP(name,sTfun(name,pi),vAPP(pi,sTfun(name,sTfun(name,pi)),subs,q2),x),b)))) ) ),
inference(superposition,[],[f2650,f3533]) ).
thf(f3533,plain,
$false = vAPP(late_residual,$o,vAPP(pi,sTfun(late_residual,$o),late_transitions,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p),q)),r)),vAPP(pi,late_residual,vAPP(late_freeRes,sTfun(pi,late_residual),late_FreeR,alpha),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p2),vAPP(name,pi,vAPP(name,sTfun(name,pi),vAPP(pi,sTfun(name,sTfun(name,pi)),subs,q2),x),b))),r))),
inference(trivial_inequality_removal,[],[f3532]) ).
thf(f3532,plain,
( ( $true != $true )
| ( $false = vAPP(late_residual,$o,vAPP(pi,sTfun(late_residual,$o),late_transitions,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p),q)),r)),vAPP(pi,late_residual,vAPP(late_freeRes,sTfun(pi,late_residual),late_FreeR,alpha),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p2),vAPP(name,pi,vAPP(name,sTfun(name,pi),vAPP(pi,sTfun(name,sTfun(name,pi)),subs,q2),x),b))),r))) ) ),
inference(superposition,[],[f3398,f356]) ).
thf(f356,plain,
! [X0: $o] :
( ( $true = X0 )
| ( $false = X0 ) ),
introduced(fool_axiom,[]) ).
thf(f3398,plain,
$true != vAPP(late_residual,$o,vAPP(pi,sTfun(late_residual,$o),late_transitions,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p),q)),r)),vAPP(pi,late_residual,vAPP(late_freeRes,sTfun(pi,late_residual),late_FreeR,alpha),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p2),vAPP(name,pi,vAPP(name,sTfun(name,pi),vAPP(pi,sTfun(name,sTfun(name,pi)),subs,q2),x),b))),r))),
inference(backward_demodulation,[],[f2199,f2202]) ).
thf(f2199,plain,
vAPP(late_residual,$o,vAPP(pi,sTfun(late_residual,$o),late_transitions,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p),q)),r)),vAPP(pi,late_residual,vAPP(late_freeRes,sTfun(pi,late_residual),late_FreeR,late_TauR),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p2),vAPP(name,pi,vAPP(name,sTfun(name,pi),vAPP(pi,sTfun(name,sTfun(name,pi)),subs,q2),x),b))),r))) != $true,
inference(cnf_transformation,[],[f886]) ).
thf(f886,plain,
vAPP(late_residual,$o,vAPP(pi,sTfun(late_residual,$o),late_transitions,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p),q)),r)),vAPP(pi,late_residual,vAPP(late_freeRes,sTfun(pi,late_residual),late_FreeR,late_TauR),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p2),vAPP(name,pi,vAPP(name,sTfun(name,pi),vAPP(pi,sTfun(name,sTfun(name,pi)),subs,q2),x),b))),r))) != $true,
inference(flattening,[],[f358]) ).
thf(f358,plain,
vAPP(late_residual,$o,vAPP(pi,sTfun(late_residual,$o),late_transitions,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p),q)),r)),vAPP(pi,late_residual,vAPP(late_freeRes,sTfun(pi,late_residual),late_FreeR,late_TauR),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p2),vAPP(name,pi,vAPP(name,sTfun(name,pi),vAPP(pi,sTfun(name,sTfun(name,pi)),subs,q2),x),b))),r))) != $true,
inference(fool_elimination,[],[f357]) ).
thf(f357,plain,
~ vAPP(late_residual,$o,vAPP(pi,sTfun(late_residual,$o),late_transitions,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p),q)),r)),vAPP(pi,late_residual,vAPP(late_freeRes,sTfun(pi,late_residual),late_FreeR,late_TauR),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p2),vAPP(name,pi,vAPP(name,sTfun(name,pi),vAPP(pi,sTfun(name,sTfun(name,pi)),subs,q2),x),b))),r))),
inference(rectify,[],[f354]) ).
thf(f354,negated_conjecture,
~ vAPP(late_residual,$o,vAPP(pi,sTfun(late_residual,$o),late_transitions,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p),q)),r)),vAPP(pi,late_residual,vAPP(late_freeRes,sTfun(pi,late_residual),late_FreeR,late_TauR),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p2),vAPP(name,pi,vAPP(name,sTfun(name,pi),vAPP(pi,sTfun(name,sTfun(name,pi)),subs,q2),x),b))),r))),
inference(negated_conjecture,[],[f353]) ).
thf(f353,conjecture,
vAPP(late_residual,$o,vAPP(pi,sTfun(late_residual,$o),late_transitions,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p),q)),r)),vAPP(pi,late_residual,vAPP(late_freeRes,sTfun(pi,late_residual),late_FreeR,late_TauR),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,p2),vAPP(name,pi,vAPP(name,sTfun(name,pi),vAPP(pi,sTfun(name,sTfun(name,pi)),subs,q2),x),b))),r))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(f2650,plain,
! [X2: pi,X3: pi,X0: pi,X1: late_freeRes] :
( ( $true = vAPP(late_residual,$o,vAPP(pi,sTfun(late_residual,$o),late_transitions,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,X0),X3)),vAPP(pi,late_residual,vAPP(late_freeRes,sTfun(pi,late_residual),late_FreeR,X1),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,X2),X3))) )
| ( $true != vAPP(late_residual,$o,vAPP(pi,sTfun(late_residual,$o),late_transitions,X0),vAPP(pi,late_residual,vAPP(late_freeRes,sTfun(pi,late_residual),late_FreeR,X1),X2)) ) ),
inference(cnf_transformation,[],[f1151]) ).
thf(f1151,plain,
! [X0: pi,X1: late_freeRes,X2: pi,X3: pi] :
( ( $true = vAPP(late_residual,$o,vAPP(pi,sTfun(late_residual,$o),late_transitions,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,X0),X3)),vAPP(pi,late_residual,vAPP(late_freeRes,sTfun(pi,late_residual),late_FreeR,X1),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,X2),X3))) )
| ( $true != vAPP(late_residual,$o,vAPP(pi,sTfun(late_residual,$o),late_transitions,X0),vAPP(pi,late_residual,vAPP(late_freeRes,sTfun(pi,late_residual),late_FreeR,X1),X2)) ) ),
inference(ennf_transformation,[],[f677]) ).
thf(f677,plain,
! [X0: pi,X1: late_freeRes,X2: pi,X3: pi] :
( ( $true = vAPP(late_residual,$o,vAPP(pi,sTfun(late_residual,$o),late_transitions,X0),vAPP(pi,late_residual,vAPP(late_freeRes,sTfun(pi,late_residual),late_FreeR,X1),X2)) )
=> ( $true = vAPP(late_residual,$o,vAPP(pi,sTfun(late_residual,$o),late_transitions,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,X0),X3)),vAPP(pi,late_residual,vAPP(late_freeRes,sTfun(pi,late_residual),late_FreeR,X1),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,X2),X3))) ) ),
inference(fool_elimination,[],[f676]) ).
thf(f676,plain,
! [X0: pi,X1: late_freeRes,X2: pi,X3: pi] :
( vAPP(late_residual,$o,vAPP(pi,sTfun(late_residual,$o),late_transitions,X0),vAPP(pi,late_residual,vAPP(late_freeRes,sTfun(pi,late_residual),late_FreeR,X1),X2))
=> vAPP(late_residual,$o,vAPP(pi,sTfun(late_residual,$o),late_transitions,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,X0),X3)),vAPP(pi,late_residual,vAPP(late_freeRes,sTfun(pi,late_residual),late_FreeR,X1),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,X2),X3))) ),
inference(rectify,[],[f12]) ).
thf(f12,axiom,
! [X0: pi,X4: late_freeRes,X5: pi,X1: pi] :
( vAPP(late_residual,$o,vAPP(pi,sTfun(late_residual,$o),late_transitions,X0),vAPP(pi,late_residual,vAPP(late_freeRes,sTfun(pi,late_residual),late_FreeR,X4),X5))
=> vAPP(late_residual,$o,vAPP(pi,sTfun(late_residual,$o),late_transitions,vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,X0),X1)),vAPP(pi,late_residual,vAPP(late_freeRes,sTfun(pi,late_residual),late_FreeR,X4),vAPP(pi,pi,vAPP(pi,sTfun(pi,pi),par,X5),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_11_Par1F) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : ITP186^1 : TPTP v8.2.0. Released v7.5.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.36 % Computer : n024.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Sat May 18 18:16:08 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % (13971)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.42 % (13974)WARNING: value z3 for option sas not known
% 0.13/0.42 % (13972)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.42 % (13973)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.42 % (13975)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.42 % (13976)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.42 % (13977)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.42 % (13974)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.42 % (13978)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.20/0.52 % (13978)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 1.84/0.67 % Exception at run slice level
% 1.84/0.67 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 1.84/0.68 % (13979)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 2.55/0.79 % (13979)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 2.55/0.85 % Exception at run slice level
% 2.55/0.85 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 3.09/0.86 % (13980)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 3.84/0.97 % (13980)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 38.65/5.95 % Exception at run slice level
% 38.65/5.95 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 38.65/5.96 % (13981)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 39.19/6.03 % Exception at run slice level
% 39.19/6.03 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 39.19/6.05 % (13982)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 44.82/6.80 % (13981)First to succeed.
% 44.82/6.81 % (13981)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-13971"
% 44.82/6.81 % (13981)Refutation found. Thanks to Tanya!
% 44.82/6.81 % SZS status Theorem for theBenchmark
% 44.82/6.81 % SZS output start Proof for theBenchmark
% See solution above
% 44.82/6.82 % (13981)------------------------------
% 44.82/6.82 % (13981)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 44.82/6.82 % (13981)Termination reason: Refutation
% 44.82/6.82
% 44.82/6.82 % (13981)Memory used [KB]: 10770
% 44.82/6.82 % (13981)Time elapsed: 0.845 s
% 44.82/6.82 % (13981)Instructions burned: 1911 (million)
% 44.82/6.82 % (13971)Success in time 6.453 s
%------------------------------------------------------------------------------