%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP188^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:08:44 AM UTC 2026
% Result : Theorem 0.83s 0.53s
% Output : Refutation 0.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 45 ( 25 unt; 0 typ; 4 def)
% Number of atoms : 118 ( 29 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 520 ( 31 ~; 24 |; 0 &; 458 @)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 26 ( 25 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 664 ( 661 usr; 17 con; 0-5 aty)
% Number of variables : 18 ( 0 sgn 18 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
produc53907987_pi_pi: $tType ).
thf(type_def_6,type,
produc1462499409ion_pi: $tType ).
thf(type_def_7,type,
noptio1575811931_pi_pi: $tType ).
thf(type_def_8,type,
produc1834551554reeRes: $tType ).
thf(type_def_9,type,
produc405342261i_name: $tType ).
thf(type_def_10,type,
produc629157763_pi_pi: $tType ).
thf(type_def_11,type,
produc1141751126_pi_pi: $tType ).
thf(type_def_12,type,
produc1357834675reeRes: $tType ).
thf(type_def_13,type,
produc2052722628s_name: $tType ).
thf(type_def_14,type,
produc2008547984reeRes: $tType ).
thf(type_def_15,type,
produc992857746Res_pi: $tType ).
thf(type_def_16,type,
produc649380958reeRes: $tType ).
thf(type_def_17,type,
set_Pr1834926343_pi_pi: $tType ).
thf(type_def_18,type,
produc367475239e_name: $tType ).
thf(type_def_19,type,
product_prod_pi_name: $tType ).
thf(type_def_20,type,
product_prod_name_pi: $tType ).
thf(type_def_21,type,
product_prod_pi_pi: $tType ).
thf(type_def_22,type,
noption_Late_freeRes: $tType ).
thf(type_def_23,type,
noption_name: $tType ).
thf(type_def_24,type,
noption_pi: $tType ).
thf(type_def_25,type,
late_residual: $tType ).
thf(type_def_26,type,
late_subject: $tType ).
thf(type_def_27,type,
late_freeRes: $tType ).
thf(type_def_28,type,
name: $tType ).
thf(type_def_29,type,
pi: $tType ).
thf(type_def_30,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
bang: pi > pi ).
thf(func_def_1,type,
input: name > name > pi > pi ).
thf(func_def_2,type,
match: name > name > pi > pi ).
thf(func_def_3,type,
mismatch: name > name > pi > pi ).
thf(func_def_4,type,
output: name > name > pi > pi ).
thf(func_def_5,type,
par: pi > pi > pi ).
thf(func_def_6,type,
piNil: pi ).
thf(func_def_7,type,
res: name > pi > pi ).
thf(func_def_8,type,
sum: pi > pi > pi ).
thf(func_def_9,type,
tau: pi > pi ).
thf(func_def_10,type,
subs: pi > name > name > pi ).
thf(func_def_11,type,
subst_name: name > name > name > name ).
thf(func_def_12,type,
if_name: $o > name > name > name ).
thf(func_def_13,type,
late_OutputR: name > name > late_freeRes ).
thf(func_def_14,type,
late_TauR: late_freeRes ).
thf(func_def_15,type,
late_BoundR: late_subject > name > pi > late_residual ).
thf(func_def_16,type,
late_FreeR: late_freeRes > pi > late_residual ).
thf(func_def_17,type,
late_BoundOutputS: name > late_subject ).
thf(func_def_18,type,
late_InputS: name > late_subject ).
thf(func_def_19,type,
late_transitions: pi > late_residual > $o ).
thf(func_def_20,type,
abs_fun_name_name: name > name > name > noption_name ).
thf(func_def_21,type,
abs_fun_name_pi: name > pi > name > noption_pi ).
thf(func_def_22,type,
abs_fu681348580reeRes: name > late_freeRes > name > noption_Late_freeRes ).
thf(func_def_23,type,
abs_fu385186459_pi_pi: name > produc1141751126_pi_pi > name > noptio1575811931_pi_pi ).
thf(func_def_24,type,
fresh_1093033124n_name: name > ( name > noption_name ) > $o ).
thf(func_def_25,type,
fresh_543891186ion_pi: name > ( name > noption_pi ) > $o ).
thf(func_def_26,type,
fresh_785364841reeRes: name > ( name > noption_Late_freeRes ) > $o ).
thf(func_def_27,type,
fresh_2065563522_pi_pi: name > ( name > noptio1575811931_pi_pi ) > $o ).
thf(func_def_28,type,
fresh_name_name: name > name > $o ).
thf(func_def_29,type,
fresh_name_pi: name > pi > $o ).
thf(func_def_30,type,
fresh_1641682979reeRes: name > late_freeRes > $o ).
thf(func_def_31,type,
fresh_81631222sidual: name > late_residual > $o ).
thf(func_def_32,type,
fresh_717452603ubject: name > late_subject > $o ).
thf(func_def_33,type,
fresh_225680151ion_pi: name > produc1462499409ion_pi > $o ).
thf(func_def_34,type,
fresh_453496559i_name: name > produc405342261i_name > $o ).
thf(func_def_35,type,
fresh_253309757_pi_pi: name > produc629157763_pi_pi > $o ).
thf(func_def_36,type,
fresh_1711070152reeRes: name > produc1834551554reeRes > $o ).
thf(func_def_37,type,
fresh_975559885_pi_pi: name > produc53907987_pi_pi > $o ).
thf(func_def_38,type,
fresh_441084397e_name: name > produc367475239e_name > $o ).
thf(func_def_39,type,
fresh_93646139ame_pi: name > product_prod_name_pi > $o ).
thf(func_def_40,type,
fresh_1963366730reeRes: name > produc2008547984reeRes > $o ).
thf(func_def_41,type,
fresh_1376661020_pi_pi: name > produc1141751126_pi_pi > $o ).
thf(func_def_42,type,
fresh_261416607i_name: name > product_prod_pi_name > $o ).
thf(func_def_43,type,
fresh_1627595501_pi_pi: name > product_prod_pi_pi > $o ).
thf(func_def_44,type,
fresh_1504024600reeRes: name > produc649380958reeRes > $o ).
thf(func_def_45,type,
fresh_2007541374s_name: name > produc2052722628s_name > $o ).
thf(func_def_46,type,
fresh_1847501388Res_pi: name > produc992857746Res_pi > $o ).
thf(func_def_47,type,
fresh_493808761reeRes: name > produc1357834675reeRes > $o ).
thf(func_def_48,type,
produc1342893193ion_pi: ( name > noption_pi ) > ( name > noption_pi ) > produc1462499409ion_pi ).
thf(func_def_49,type,
produc540578151i_name: ( name > noption_pi ) > name > produc405342261i_name ).
thf(func_def_50,type,
produc1820286517_pi_pi: ( name > noption_pi ) > pi > produc629157763_pi_pi ).
thf(func_def_51,type,
produc1505598906reeRes: ( name > noption_pi ) > late_freeRes > produc1834551554reeRes ).
thf(func_def_52,type,
produc1275980869_pi_pi: ( name > noption_pi ) > produc1141751126_pi_pi > produc53907987_pi_pi ).
thf(func_def_53,type,
produc1570949143e_name: name > name > produc367475239e_name ).
thf(func_def_54,type,
product_Pair_name_pi: name > pi > product_prod_name_pi ).
thf(func_def_55,type,
produc1531804426reeRes: name > late_freeRes > produc2008547984reeRes ).
thf(func_def_56,type,
produc235456326_pi_pi: name > product_prod_pi_pi > produc1141751126_pi_pi ).
thf(func_def_57,type,
product_Pair_pi_name: pi > name > product_prod_pi_name ).
thf(func_def_58,type,
product_Pair_pi_pi: pi > pi > product_prod_pi_pi ).
thf(func_def_59,type,
produc1638681944reeRes: pi > late_freeRes > produc649380958reeRes ).
thf(func_def_60,type,
produc1701355766s_name: late_freeRes > name > produc2052722628s_name ).
thf(func_def_61,type,
produc1177552196Res_pi: late_freeRes > pi > produc992857746Res_pi ).
thf(func_def_62,type,
produc1244821099reeRes: late_freeRes > late_freeRes > produc1357834675reeRes ).
thf(func_def_63,type,
eqvt_pi: set_Pr1834926343_pi_pi > $o ).
thf(func_def_64,type,
collec1051790738_pi_pi: ( product_prod_pi_pi > $o ) > set_Pr1834926343_pi_pi ).
thf(func_def_65,type,
strong2129052853vative: pi > pi > late_subject > name > set_Pr1834926343_pi_pi > $o ).
thf(func_def_66,type,
strong743114133lation: pi > set_Pr1834926343_pi_pi > pi > $o ).
thf(func_def_67,type,
member558706512_pi_pi: product_prod_pi_pi > set_Pr1834926343_pi_pi > $o ).
thf(func_def_68,type,
p: pi ).
thf(func_def_69,type,
p2: pi ).
thf(func_def_70,type,
pxQ: pi ).
thf(func_def_71,type,
q: pi ).
thf(func_def_72,type,
rel: set_Pr1834926343_pi_pi ).
thf(func_def_73,type,
aa: late_subject ).
thf(func_def_74,type,
u: name ).
thf(func_def_75,type,
x: name ).
thf(func_def_76,type,
y: name ).
thf(func_def_80,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_81,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_82,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_83,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_84,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_85,type,
vAND: $o > $o > $o ).
thf(func_def_86,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_87,type,
vIMP: $o > $o > $o ).
thf(func_def_88,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_89,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_90,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_91,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_92,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_93,type,
vNOT: $o > $o ).
thf(func_def_94,type,
sP0: name > pi > late_subject > name > pi > $o ).
thf(func_def_95,type,
sP1: ( produc1141751126_pi_pi > pi > $o ) > $o ).
thf(func_def_96,type,
sP2: ( produc1141751126_pi_pi > pi > $o ) > $o ).
thf(func_def_97,type,
sP3: ( produc1141751126_pi_pi > pi > $o ) > $o ).
thf(func_def_98,type,
sP4: ( produc1141751126_pi_pi > pi > $o ) > $o ).
thf(func_def_99,type,
sP5: ( produc1141751126_pi_pi > pi > $o ) > $o ).
thf(func_def_100,type,
sP6: ( name > pi > $o ) > $o ).
thf(func_def_101,type,
sP7: ( name > pi > $o ) > $o ).
thf(func_def_102,type,
sP8: ( name > pi > $o ) > $o ).
thf(func_def_103,type,
sP9: ( name > pi > $o ) > $o ).
thf(func_def_104,type,
sP10: ( name > pi > $o ) > $o ).
thf(func_def_105,type,
sP11: pi > pi > late_subject > name > pi > $o ).
thf(func_def_106,type,
sP12: ( name > pi > $o ) > $o ).
thf(func_def_107,type,
sP13: ( name > pi > $o ) > $o ).
thf(func_def_108,type,
sP14: ( name > pi > $o ) > $o ).
thf(func_def_109,type,
sP15: ( name > pi > $o ) > $o ).
thf(func_def_110,type,
sP16: ( name > pi > $o ) > $o ).
thf(func_def_111,type,
sP17: ( late_freeRes > pi > $o ) > $o ).
thf(func_def_112,type,
sP18: ( late_freeRes > pi > $o ) > $o ).
thf(func_def_113,type,
sP19: ( late_freeRes > pi > $o ) > $o ).
thf(func_def_114,type,
sP20: ( late_freeRes > pi > $o ) > $o ).
thf(func_def_115,type,
sP21: ( late_freeRes > pi > $o ) > $o ).
thf(func_def_116,type,
sP22: pi > pi > set_Pr1834926343_pi_pi > pi > name > $o ).
thf(func_def_117,type,
sP23: late_residual > name > pi > $o ).
thf(func_def_118,type,
sP24: ( late_freeRes > pi > $o ) > $o ).
thf(func_def_119,type,
sP25: ( late_freeRes > pi > $o ) > $o ).
thf(func_def_120,type,
sP26: ( late_freeRes > pi > $o ) > $o ).
thf(func_def_121,type,
sP27: ( late_freeRes > pi > $o ) > $o ).
thf(func_def_122,type,
sP28: ( late_freeRes > pi > $o ) > $o ).
thf(func_def_123,type,
sP29: pi > set_Pr1834926343_pi_pi > pi > name > name > $o ).
thf(func_def_124,type,
sP30: ( produc1141751126_pi_pi > pi > $o ) > $o ).
thf(func_def_125,type,
sP31: ( produc1141751126_pi_pi > pi > $o ) > $o ).
thf(func_def_126,type,
sP32: ( produc1141751126_pi_pi > pi > $o ) > $o ).
thf(func_def_127,type,
sP33: ( produc1141751126_pi_pi > pi > $o ) > $o ).
thf(func_def_128,type,
sP34: ( produc1141751126_pi_pi > pi > $o ) > $o ).
thf(func_def_129,type,
sP35: pi > late_freeRes > name > set_Pr1834926343_pi_pi > pi > $o ).
thf(func_def_130,type,
sP36: ( pi > pi > $o ) > $o ).
thf(func_def_131,type,
sP37: ( pi > pi > $o ) > $o ).
thf(func_def_132,type,
sP38: ( pi > pi > $o ) > $o ).
thf(func_def_133,type,
sP39: ( pi > pi > $o ) > $o ).
thf(func_def_134,type,
sP40: ( pi > pi > $o ) > $o ).
thf(func_def_135,type,
sP41: ( pi > pi > $o ) > $o ).
thf(func_def_136,type,
sP42: ( pi > pi > $o ) > $o ).
thf(func_def_137,type,
sP43: ( pi > pi > $o ) > $o ).
thf(func_def_138,type,
sP44: ( pi > pi > $o ) > $o ).
thf(func_def_139,type,
sP45: ( pi > pi > $o ) > $o ).
thf(func_def_140,type,
sP46: produc1141751126_pi_pi > pi > pi > name > set_Pr1834926343_pi_pi > $o ).
thf(func_def_141,type,
sK47: ( product_prod_pi_pi > $o ) > pi ).
thf(func_def_142,type,
sK48: ( product_prod_pi_pi > $o ) > pi ).
thf(func_def_143,type,
sK49: set_Pr1834926343_pi_pi > pi ).
thf(func_def_144,type,
sK50: set_Pr1834926343_pi_pi > pi ).
thf(func_def_145,type,
sK51: set_Pr1834926343_pi_pi > name ).
thf(func_def_146,type,
sK52: set_Pr1834926343_pi_pi > pi ).
thf(func_def_147,type,
sK53: set_Pr1834926343_pi_pi > pi ).
thf(func_def_148,type,
sK54: product_prod_pi_pi > pi ).
thf(func_def_149,type,
sK55: product_prod_pi_pi > pi ).
thf(func_def_150,type,
sK56: name > pi > late_subject > name > pi > name ).
thf(func_def_151,type,
sK57: name > pi > late_subject > name > pi > name ).
thf(func_def_152,type,
sK58: name > pi > late_subject > name > pi > pi ).
thf(func_def_153,type,
sK59: name > pi > late_subject > name > pi > late_subject ).
thf(func_def_154,type,
sK60: name > pi > late_subject > name > pi > pi ).
thf(func_def_155,type,
sK61: pi > name > name > pi > late_subject > pi ).
thf(func_def_156,type,
sK62: pi > name > name > pi > late_subject > name ).
thf(func_def_157,type,
sK63: pi > name > name > pi > late_subject > name ).
thf(func_def_158,type,
sK64: pi > name > name > pi > late_subject > pi ).
thf(func_def_159,type,
sK65: ( produc1141751126_pi_pi > pi > $o ) > produc1141751126_pi_pi ).
thf(func_def_160,type,
sK66: ( produc1141751126_pi_pi > pi > $o ) > pi ).
thf(func_def_161,type,
sK67: ( produc1141751126_pi_pi > pi > $o ) > produc1141751126_pi_pi ).
thf(func_def_162,type,
sK68: ( produc1141751126_pi_pi > pi > $o ) > pi ).
thf(func_def_163,type,
sK69: ( produc1141751126_pi_pi > pi > $o ) > pi ).
thf(func_def_164,type,
sK70: ( produc1141751126_pi_pi > pi > $o ) > pi ).
thf(func_def_165,type,
sK71: ( produc1141751126_pi_pi > pi > $o ) > produc1141751126_pi_pi ).
thf(func_def_166,type,
sK72: ( produc1141751126_pi_pi > pi > $o ) > pi ).
thf(func_def_167,type,
sK73: ( produc1141751126_pi_pi > pi > $o ) > name ).
thf(func_def_168,type,
sK74: ( produc1141751126_pi_pi > pi > $o ) > produc1141751126_pi_pi ).
thf(func_def_169,type,
sK75: ( produc1141751126_pi_pi > pi > $o ) > pi ).
thf(func_def_170,type,
sK76: ( produc1141751126_pi_pi > pi > $o ) > produc1141751126_pi_pi ).
thf(func_def_171,type,
sK77: ( produc1141751126_pi_pi > pi > $o ) > name ).
thf(func_def_172,type,
sK78: ( produc1141751126_pi_pi > pi > $o ) > name ).
thf(func_def_173,type,
sK79: ( produc1141751126_pi_pi > pi > $o ) > pi ).
thf(func_def_174,type,
sK80: ( produc1141751126_pi_pi > pi > $o ) > produc1141751126_pi_pi ).
thf(func_def_175,type,
sK81: ( produc1141751126_pi_pi > pi > $o ) > name ).
thf(func_def_176,type,
sK82: ( produc1141751126_pi_pi > pi > $o ) > produc1141751126_pi_pi ).
thf(func_def_177,type,
sK83: ( produc1141751126_pi_pi > pi > $o ) > name ).
thf(func_def_178,type,
sK84: ( produc1141751126_pi_pi > pi > $o ) > pi ).
thf(func_def_179,type,
sK85: ( produc1141751126_pi_pi > pi > $o ) > name ).
thf(func_def_180,type,
sK86: ( produc1141751126_pi_pi > pi > $o ) > produc1141751126_pi_pi ).
thf(func_def_181,type,
sK87: ( produc1141751126_pi_pi > pi > $o ) > pi ).
thf(func_def_182,type,
sK88: ( produc1141751126_pi_pi > pi > $o ) > name ).
thf(func_def_183,type,
sK89: ( produc1141751126_pi_pi > pi > $o ) > name ).
thf(func_def_184,type,
sK90: ( produc1141751126_pi_pi > pi > $o ) > produc1141751126_pi_pi ).
thf(func_def_185,type,
sK91: ( produc1141751126_pi_pi > pi > $o ) > name ).
thf(func_def_186,type,
sK92: ( produc1141751126_pi_pi > pi > $o ) > pi ).
thf(func_def_187,type,
sK93: ( produc1141751126_pi_pi > pi > $o ) > pi ).
thf(func_def_188,type,
sK94: ( produc1141751126_pi_pi > pi > $o ) > produc1141751126_pi_pi ).
thf(func_def_189,type,
sK95: pi > late_freeRes > name > pi > pi ).
thf(func_def_190,type,
sK96: pi > late_freeRes > name > pi > late_freeRes ).
thf(func_def_191,type,
sK97: pi > late_freeRes > name > pi > name ).
thf(func_def_192,type,
sK98: pi > late_freeRes > name > pi > pi ).
thf(func_def_193,type,
sK99: produc1834551554reeRes > late_freeRes ).
thf(func_def_194,type,
sK100: produc1834551554reeRes > name > noption_pi ).
thf(func_def_195,type,
sK101: ( produc629157763_pi_pi > $o ) > pi ).
thf(func_def_196,type,
sK102: ( produc629157763_pi_pi > $o ) > name > noption_pi ).
thf(func_def_197,type,
sK103: name > set_Pr1834926343_pi_pi > pi > pi > late_subject ).
thf(func_def_198,type,
sK104: name > set_Pr1834926343_pi_pi > pi > pi > pi ).
thf(func_def_199,type,
sK105: name > set_Pr1834926343_pi_pi > pi > pi > name ).
thf(func_def_200,type,
sK106: set_Pr1834926343_pi_pi > pi > pi > pi ).
thf(func_def_201,type,
sK107: set_Pr1834926343_pi_pi > pi > pi > late_freeRes ).
thf(func_def_202,type,
sK108: produc629157763_pi_pi > name > noption_pi ).
thf(func_def_203,type,
sK109: produc629157763_pi_pi > pi ).
thf(func_def_204,type,
sK110: late_residual > pi > name > name > name ).
thf(func_def_205,type,
sK111: late_residual > pi > name > name > name ).
thf(func_def_206,type,
sK112: late_residual > pi > name > name > pi ).
thf(func_def_207,type,
sK113: ( name > pi > $o ) > name ).
thf(func_def_208,type,
sK114: ( name > pi > $o ) > name ).
thf(func_def_209,type,
sK115: ( name > pi > $o ) > name ).
thf(func_def_210,type,
sK116: ( name > pi > $o ) > pi ).
thf(func_def_211,type,
sK117: ( name > pi > $o ) > pi ).
thf(func_def_212,type,
sK118: ( name > pi > $o ) > name ).
thf(func_def_213,type,
sK119: ( name > pi > $o ) > name ).
thf(func_def_214,type,
sK120: ( name > pi > $o ) > pi ).
thf(func_def_215,type,
sK121: ( name > pi > $o ) > pi ).
thf(func_def_216,type,
sK122: ( name > pi > $o ) > name ).
thf(func_def_217,type,
sK123: ( name > pi > $o ) > pi ).
thf(func_def_218,type,
sK124: ( name > pi > $o ) > name ).
thf(func_def_219,type,
sK125: ( name > pi > $o ) > pi ).
thf(func_def_220,type,
sK126: ( name > pi > $o ) > name ).
thf(func_def_221,type,
sK127: ( name > pi > $o ) > pi ).
thf(func_def_222,type,
sK128: ( name > pi > $o ) > name ).
thf(func_def_223,type,
sK129: ( name > pi > $o ) > name ).
thf(func_def_224,type,
sK130: ( name > pi > $o ) > name ).
thf(func_def_225,type,
sK131: ( name > pi > $o ) > name ).
thf(func_def_226,type,
sK132: ( name > pi > $o ) > pi ).
thf(func_def_227,type,
sK133: ( name > pi > $o ) > name ).
thf(func_def_228,type,
sK134: ( name > pi > $o ) > name ).
thf(func_def_229,type,
sK135: ( name > pi > $o ) > name ).
thf(func_def_230,type,
sK136: ( name > pi > $o ) > pi ).
thf(func_def_231,type,
sK137: ( name > pi > $o ) > pi ).
thf(func_def_232,type,
sK138: ( name > pi > $o ) > name ).
thf(func_def_233,type,
sK139: ( name > pi > $o ) > pi ).
thf(func_def_234,type,
sK140: ( name > pi > $o ) > name ).
thf(func_def_235,type,
sK141: ( name > pi > $o ) > name ).
thf(func_def_236,type,
sK142: ( name > pi > $o ) > name ).
thf(func_def_237,type,
sK143: ( name > late_residual > $o ) > late_freeRes ).
thf(func_def_238,type,
sK144: ( name > late_residual > $o ) > name ).
thf(func_def_239,type,
sK145: ( name > late_residual > $o ) > pi ).
thf(func_def_240,type,
sK146: ( name > late_residual > $o ) > name ).
thf(func_def_241,type,
sK147: ( name > late_residual > $o ) > pi ).
thf(func_def_242,type,
sK148: ( name > late_residual > $o ) > name ).
thf(func_def_243,type,
sK149: ( name > late_residual > $o ) > late_subject ).
thf(func_def_244,type,
sK150: produc53907987_pi_pi > produc1141751126_pi_pi ).
thf(func_def_245,type,
sK151: produc53907987_pi_pi > name > noption_pi ).
thf(func_def_246,type,
sK152: name > name > late_residual > pi > pi ).
thf(func_def_247,type,
sK153: pi > set_Pr1834926343_pi_pi > pi > pi ).
thf(func_def_248,type,
sK154: pi > set_Pr1834926343_pi_pi > pi > late_freeRes ).
thf(func_def_249,type,
sK155: pi > set_Pr1834926343_pi_pi > pi > late_subject ).
thf(func_def_250,type,
sK156: pi > set_Pr1834926343_pi_pi > pi > name ).
thf(func_def_251,type,
sK157: pi > set_Pr1834926343_pi_pi > pi > pi ).
thf(func_def_252,type,
sK158: ( pi > late_residual > $o ) > pi ).
thf(func_def_253,type,
sK159: ( pi > late_residual > $o ) > late_subject ).
thf(func_def_254,type,
sK160: ( pi > late_residual > $o ) > pi ).
thf(func_def_255,type,
sK161: ( pi > late_residual > $o ) > name ).
thf(func_def_256,type,
sK162: ( pi > late_residual > $o ) > pi ).
thf(func_def_257,type,
sK163: ( pi > late_residual > $o ) > pi ).
thf(func_def_258,type,
sK164: ( pi > late_residual > $o ) > late_freeRes ).
thf(func_def_259,type,
sK165: pi > pi > late_subject > name > pi > late_subject ).
thf(func_def_260,type,
sK166: pi > pi > late_subject > name > pi > pi ).
thf(func_def_261,type,
sK167: pi > pi > late_subject > name > pi > pi ).
thf(func_def_262,type,
sK168: pi > pi > late_subject > name > pi > name ).
thf(func_def_263,type,
sK169: pi > pi > late_subject > name > pi > pi ).
thf(func_def_264,type,
sK170: pi > pi > pi > name > late_subject > pi ).
thf(func_def_265,type,
sK171: pi > pi > pi > name > late_subject > pi ).
thf(func_def_266,type,
sK172: pi > pi > pi > name > late_subject > name ).
thf(func_def_267,type,
sK173: pi > pi > pi > name > late_subject > pi ).
thf(func_def_268,type,
sK174: pi > pi > pi > name > late_subject > late_subject ).
thf(func_def_269,type,
sK175: late_subject > name ).
thf(func_def_270,type,
sK176: late_subject > name ).
thf(func_def_271,type,
sK177: ( late_freeRes > late_residual > $o ) > late_freeRes ).
thf(func_def_272,type,
sK178: ( late_freeRes > late_residual > $o ) > late_freeRes ).
thf(func_def_273,type,
sK179: ( late_freeRes > late_residual > $o ) > pi ).
thf(func_def_274,type,
sK180: ( late_freeRes > late_residual > $o ) > name ).
thf(func_def_275,type,
sK181: ( late_freeRes > late_residual > $o ) > late_subject ).
thf(func_def_276,type,
sK182: ( late_freeRes > late_residual > $o ) > late_freeRes ).
thf(func_def_277,type,
sK183: ( late_freeRes > late_residual > $o ) > pi ).
thf(func_def_278,type,
sK184: produc405342261i_name > name ).
thf(func_def_279,type,
sK185: produc405342261i_name > name > noption_pi ).
thf(func_def_280,type,
sK186: ( produc1141751126_pi_pi > $o ) > name ).
thf(func_def_281,type,
sK187: ( produc1141751126_pi_pi > $o ) > product_prod_pi_pi ).
thf(func_def_282,type,
sK188: produc53907987_pi_pi > name ).
thf(func_def_283,type,
sK189: produc53907987_pi_pi > name > noption_pi ).
thf(func_def_284,type,
sK190: produc53907987_pi_pi > product_prod_pi_pi ).
thf(func_def_285,type,
sK191: pi > set_Pr1834926343_pi_pi > pi > pi ).
thf(func_def_286,type,
sK192: pi > set_Pr1834926343_pi_pi > pi > late_freeRes ).
thf(func_def_287,type,
sK193: pi > set_Pr1834926343_pi_pi > pi > produc1141751126_pi_pi > name ).
thf(func_def_288,type,
sK194: pi > set_Pr1834926343_pi_pi > pi > produc1141751126_pi_pi > late_subject ).
thf(func_def_289,type,
sK195: pi > set_Pr1834926343_pi_pi > pi > produc1141751126_pi_pi > pi ).
thf(func_def_290,type,
sK196: ( produc53907987_pi_pi > $o ) > name > noption_pi ).
thf(func_def_291,type,
sK197: ( produc53907987_pi_pi > $o ) > name ).
thf(func_def_292,type,
sK198: ( produc53907987_pi_pi > $o ) > product_prod_pi_pi ).
thf(func_def_293,type,
sK199: set_Pr1834926343_pi_pi > pi ).
thf(func_def_294,type,
sK200: produc53907987_pi_pi > pi ).
thf(func_def_295,type,
sK201: produc53907987_pi_pi > name ).
thf(func_def_296,type,
sK202: produc53907987_pi_pi > pi ).
thf(func_def_297,type,
sK203: produc53907987_pi_pi > name > noption_pi ).
thf(func_def_298,type,
sK204: name > name ).
thf(func_def_299,type,
sK205: ( product_prod_pi_pi > $o ) > pi ).
thf(func_def_300,type,
sK206: ( product_prod_pi_pi > $o ) > pi ).
thf(func_def_301,type,
sK207: ( product_prod_pi_pi > $o ) > ( product_prod_pi_pi > $o ) > product_prod_pi_pi ).
thf(func_def_302,type,
sK208: ( late_freeRes > $o ) > name ).
thf(func_def_303,type,
sK209: ( late_freeRes > $o ) > name ).
thf(func_def_304,type,
sK210: ( pi > late_residual > $o ) > pi ).
thf(func_def_305,type,
sK211: ( pi > late_residual > $o ) > late_subject ).
thf(func_def_306,type,
sK212: ( pi > late_residual > $o ) > pi ).
thf(func_def_307,type,
sK213: ( pi > late_residual > $o ) > name ).
thf(func_def_308,type,
sK214: ( pi > late_residual > $o ) > pi ).
thf(func_def_309,type,
sK215: ( pi > late_residual > $o ) > late_freeRes ).
thf(func_def_310,type,
sK216: ( pi > late_residual > $o ) > pi ).
thf(func_def_311,type,
sK217: ( name > pi > $o ) > name ).
thf(func_def_312,type,
sK218: ( name > pi > $o ) > name ).
thf(func_def_313,type,
sK219: ( name > pi > $o ) > pi ).
thf(func_def_314,type,
sK220: ( name > pi > $o ) > name ).
thf(func_def_315,type,
sK221: ( name > pi > $o ) > name ).
thf(func_def_316,type,
sK222: ( name > pi > $o ) > pi ).
thf(func_def_317,type,
sK223: ( name > pi > $o ) > name ).
thf(func_def_318,type,
sK224: ( name > pi > $o ) > pi ).
thf(func_def_319,type,
sK225: ( name > pi > $o ) > pi ).
thf(func_def_320,type,
sK226: ( name > pi > $o ) > name ).
thf(func_def_321,type,
sK227: ( name > pi > $o ) > pi ).
thf(func_def_322,type,
sK228: ( name > pi > $o ) > name ).
thf(func_def_323,type,
sK229: ( name > pi > $o ) > pi ).
thf(func_def_324,type,
sK230: ( name > pi > $o ) > pi ).
thf(func_def_325,type,
sK231: ( name > pi > $o ) > name ).
thf(func_def_326,type,
sK232: ( name > pi > $o ) > name ).
thf(func_def_327,type,
sK233: ( name > pi > $o ) > name ).
thf(func_def_328,type,
sK234: ( name > pi > $o ) > pi ).
thf(func_def_329,type,
sK235: ( name > pi > $o ) > name ).
thf(func_def_330,type,
sK236: ( name > pi > $o ) > name ).
thf(func_def_331,type,
sK237: ( name > pi > $o ) > name ).
thf(func_def_332,type,
sK238: ( name > pi > $o ) > name ).
thf(func_def_333,type,
sK239: ( name > pi > $o ) > pi ).
thf(func_def_334,type,
sK240: ( name > pi > $o ) > name ).
thf(func_def_335,type,
sK241: ( name > pi > $o ) > pi ).
thf(func_def_336,type,
sK242: ( name > pi > $o ) > name ).
thf(func_def_337,type,
sK243: ( name > pi > $o ) > pi ).
thf(func_def_338,type,
sK244: ( name > pi > $o ) > name ).
thf(func_def_339,type,
sK245: ( name > pi > $o ) > name ).
thf(func_def_340,type,
sK246: ( name > pi > $o ) > name ).
thf(func_def_341,type,
sK247: ( name > late_residual > $o ) > name ).
thf(func_def_342,type,
sK248: ( name > late_residual > $o ) > name ).
thf(func_def_343,type,
sK249: ( name > late_residual > $o ) > pi ).
thf(func_def_344,type,
sK250: ( name > late_residual > $o ) > late_subject ).
thf(func_def_345,type,
sK251: ( name > late_residual > $o ) > late_freeRes ).
thf(func_def_346,type,
sK252: ( name > late_residual > $o ) > pi ).
thf(func_def_347,type,
sK253: ( name > late_residual > $o ) > name ).
thf(func_def_348,type,
sK254: ( produc53907987_pi_pi > $o ) > pi ).
thf(func_def_349,type,
sK255: ( produc53907987_pi_pi > $o ) > name > noption_pi ).
thf(func_def_350,type,
sK256: ( produc53907987_pi_pi > $o ) > name ).
thf(func_def_351,type,
sK257: ( produc53907987_pi_pi > $o ) > pi ).
thf(func_def_352,type,
sK258: produc405342261i_name > name ).
thf(func_def_353,type,
sK259: produc405342261i_name > name > noption_pi ).
thf(func_def_354,type,
sK260: ( produc405342261i_name > $o ) > name ).
thf(func_def_355,type,
sK261: ( produc405342261i_name > $o ) > name > noption_pi ).
thf(func_def_356,type,
sK262: ( produc1462499409ion_pi > $o ) > name > noption_pi ).
thf(func_def_357,type,
sK263: ( produc1462499409ion_pi > $o ) > name > noption_pi ).
thf(func_def_358,type,
sK264: ( produc1141751126_pi_pi > late_residual > $o ) > produc1141751126_pi_pi ).
thf(func_def_359,type,
sK265: ( produc1141751126_pi_pi > late_residual > $o ) > pi ).
thf(func_def_360,type,
sK266: ( produc1141751126_pi_pi > late_residual > $o ) > name ).
thf(func_def_361,type,
sK267: ( produc1141751126_pi_pi > late_residual > $o ) > late_subject ).
thf(func_def_362,type,
sK268: ( produc1141751126_pi_pi > late_residual > $o ) > late_freeRes ).
thf(func_def_363,type,
sK269: ( produc1141751126_pi_pi > late_residual > $o ) > produc1141751126_pi_pi ).
thf(func_def_364,type,
sK270: ( produc1141751126_pi_pi > late_residual > $o ) > pi ).
thf(func_def_365,type,
sK271: produc1834551554reeRes > late_freeRes ).
thf(func_def_366,type,
sK272: produc1834551554reeRes > name > noption_pi ).
thf(func_def_367,type,
sK273: ( late_subject > $o ) > name ).
thf(func_def_368,type,
sK274: ( late_subject > $o ) > name ).
thf(func_def_369,type,
sK275: ( produc1834551554reeRes > $o ) > name > noption_pi ).
thf(func_def_370,type,
sK276: ( produc1834551554reeRes > $o ) > late_freeRes ).
thf(func_def_371,type,
sK277: pi > name ).
thf(func_def_372,type,
sK278: pi > pi > set_Pr1834926343_pi_pi > late_freeRes ).
thf(func_def_373,type,
sK279: pi > pi > set_Pr1834926343_pi_pi > pi ).
thf(func_def_374,type,
sK280: pi > pi > pi > set_Pr1834926343_pi_pi > late_subject ).
thf(func_def_375,type,
sK281: pi > pi > pi > set_Pr1834926343_pi_pi > name ).
thf(func_def_376,type,
sK282: pi > pi > pi > set_Pr1834926343_pi_pi > pi ).
thf(func_def_377,type,
sK283: produc1141751126_pi_pi > product_prod_pi_pi ).
thf(func_def_378,type,
sK284: produc1141751126_pi_pi > name ).
thf(func_def_379,type,
sK285: ( produc405342261i_name > $o ) > name ).
thf(func_def_380,type,
sK286: ( produc405342261i_name > $o ) > name > noption_pi ).
thf(func_def_381,type,
sK287: ( produc1141751126_pi_pi > $o ) > name ).
thf(func_def_382,type,
sK288: ( produc1141751126_pi_pi > $o ) > product_prod_pi_pi ).
thf(func_def_383,type,
sK289: set_Pr1834926343_pi_pi > pi ).
thf(func_def_384,type,
sK290: produc1141751126_pi_pi > pi ).
thf(func_def_385,type,
sK291: produc1141751126_pi_pi > pi ).
thf(func_def_386,type,
sK292: produc1141751126_pi_pi > name ).
thf(func_def_387,type,
sK293: late_residual > pi > pi ).
thf(func_def_388,type,
sK294: ( late_freeRes > pi > $o ) > late_freeRes ).
thf(func_def_389,type,
sK295: ( late_freeRes > pi > $o ) > pi ).
thf(func_def_390,type,
sK296: ( late_freeRes > pi > $o ) > late_freeRes ).
thf(func_def_391,type,
sK297: ( late_freeRes > pi > $o ) > pi ).
thf(func_def_392,type,
sK298: ( late_freeRes > pi > $o ) > pi ).
thf(func_def_393,type,
sK299: ( late_freeRes > pi > $o ) > pi ).
thf(func_def_394,type,
sK300: ( late_freeRes > pi > $o ) > late_freeRes ).
thf(func_def_395,type,
sK301: ( late_freeRes > pi > $o ) > pi ).
thf(func_def_396,type,
sK302: ( late_freeRes > pi > $o ) > pi ).
thf(func_def_397,type,
sK303: ( late_freeRes > pi > $o ) > late_freeRes ).
thf(func_def_398,type,
sK304: ( late_freeRes > pi > $o ) > name ).
thf(func_def_399,type,
sK305: ( late_freeRes > pi > $o ) > late_freeRes ).
thf(func_def_400,type,
sK306: ( late_freeRes > pi > $o ) > name ).
thf(func_def_401,type,
sK307: ( late_freeRes > pi > $o ) > name ).
thf(func_def_402,type,
sK308: ( late_freeRes > pi > $o ) > pi ).
thf(func_def_403,type,
sK309: ( late_freeRes > pi > $o ) > pi ).
thf(func_def_404,type,
sK310: ( late_freeRes > pi > $o ) > late_freeRes ).
thf(func_def_405,type,
sK311: ( late_freeRes > pi > $o ) > name ).
thf(func_def_406,type,
sK312: ( late_freeRes > pi > $o ) > pi ).
thf(func_def_407,type,
sK313: ( late_freeRes > pi > $o ) > name ).
thf(func_def_408,type,
sK314: ( late_freeRes > pi > $o ) > late_freeRes ).
thf(func_def_409,type,
sK315: ( late_freeRes > pi > $o ) > late_freeRes ).
thf(func_def_410,type,
sK316: ( late_freeRes > pi > $o ) > name ).
thf(func_def_411,type,
sK317: ( late_freeRes > pi > $o ) > late_freeRes ).
thf(func_def_412,type,
sK318: ( late_freeRes > pi > $o ) > name ).
thf(func_def_413,type,
sK319: ( late_freeRes > pi > $o ) > pi ).
thf(func_def_414,type,
sK320: ( late_freeRes > pi > $o ) > name ).
thf(func_def_415,type,
sK321: ( late_freeRes > pi > $o ) > late_freeRes ).
thf(func_def_416,type,
sK322: ( late_freeRes > pi > $o ) > pi ).
thf(func_def_417,type,
sK323: ( late_freeRes > pi > $o ) > name ).
thf(func_def_418,type,
sK324: pi > pi > set_Pr1834926343_pi_pi > pi > name > late_subject ).
thf(func_def_419,type,
sK325: pi > pi > set_Pr1834926343_pi_pi > pi > name > pi ).
thf(func_def_420,type,
sK326: pi > pi > set_Pr1834926343_pi_pi > pi > name > name ).
thf(func_def_421,type,
sK327: name > pi > pi > set_Pr1834926343_pi_pi > pi ).
thf(func_def_422,type,
sK328: name > pi > pi > set_Pr1834926343_pi_pi > late_freeRes ).
thf(func_def_423,type,
sK329: name > pi > pi > set_Pr1834926343_pi_pi > pi ).
thf(func_def_424,type,
sK330: name > pi > pi > set_Pr1834926343_pi_pi > name ).
thf(func_def_425,type,
sK331: ( produc1834551554reeRes > $o ) > late_freeRes ).
thf(func_def_426,type,
sK332: ( produc1834551554reeRes > $o ) > name > noption_pi ).
thf(func_def_427,type,
sK333: late_freeRes > name ).
thf(func_def_428,type,
sK334: late_freeRes > name ).
thf(func_def_429,type,
sK335: pi > set_Pr1834926343_pi_pi > pi > late_freeRes > name ).
thf(func_def_430,type,
sK336: pi > set_Pr1834926343_pi_pi > pi > late_freeRes > pi ).
thf(func_def_431,type,
sK337: pi > set_Pr1834926343_pi_pi > pi > late_freeRes > late_subject ).
thf(func_def_432,type,
sK338: pi > set_Pr1834926343_pi_pi > pi > pi ).
thf(func_def_433,type,
sK339: pi > set_Pr1834926343_pi_pi > pi > late_freeRes ).
thf(func_def_434,type,
sK340: late_residual > name > pi > pi ).
thf(func_def_435,type,
sK341: late_residual > name > pi > late_subject ).
thf(func_def_436,type,
sK342: late_residual > name > pi > pi ).
thf(func_def_437,type,
sK343: late_residual > name > pi > name ).
thf(func_def_438,type,
sK344: late_residual > name > pi > name ).
thf(func_def_439,type,
sK345: late_residual > name > pi > name ).
thf(func_def_440,type,
sK346: late_residual > name > pi > name ).
thf(func_def_441,type,
sK347: late_residual > name > pi > pi ).
thf(func_def_442,type,
sK348: late_residual > name > pi > pi ).
thf(func_def_443,type,
sK349: late_residual > name > pi > late_freeRes ).
thf(func_def_444,type,
sK350: late_residual > name > pi > name ).
thf(func_def_445,type,
sK351: late_residual > name > pi > pi ).
thf(func_def_446,type,
sK352: late_residual > name > pi > pi ).
thf(func_def_447,type,
sK353: product_prod_pi_pi > pi ).
thf(func_def_448,type,
sK354: product_prod_pi_pi > pi ).
thf(func_def_449,type,
sK355: ( produc629157763_pi_pi > $o ) > pi ).
thf(func_def_450,type,
sK356: ( produc629157763_pi_pi > $o ) > name > noption_pi ).
thf(func_def_451,type,
sK357: produc53907987_pi_pi > name > noption_pi ).
thf(func_def_452,type,
sK358: produc53907987_pi_pi > produc1141751126_pi_pi ).
thf(func_def_453,type,
sK359: ( late_freeRes > pi > $o ) > pi ).
thf(func_def_454,type,
sK360: ( late_freeRes > pi > $o ) > name ).
thf(func_def_455,type,
sK361: ( late_freeRes > pi > $o ) > name ).
thf(func_def_456,type,
sK362: ( late_freeRes > pi > $o ) > late_freeRes ).
thf(func_def_457,type,
sK363: ( late_freeRes > pi > $o ) > late_freeRes ).
thf(func_def_458,type,
sK364: ( late_freeRes > pi > $o ) > pi ).
thf(func_def_459,type,
sK365: ( late_freeRes > pi > $o ) > pi ).
thf(func_def_460,type,
sK366: ( late_freeRes > pi > $o ) > name ).
thf(func_def_461,type,
sK367: ( late_freeRes > pi > $o ) > pi ).
thf(func_def_462,type,
sK368: ( late_freeRes > pi > $o ) > late_freeRes ).
thf(func_def_463,type,
sK369: ( late_freeRes > pi > $o ) > pi ).
thf(func_def_464,type,
sK370: ( late_freeRes > pi > $o ) > pi ).
thf(func_def_465,type,
sK371: ( late_freeRes > pi > $o ) > late_freeRes ).
thf(func_def_466,type,
sK372: ( late_freeRes > pi > $o ) > pi ).
thf(func_def_467,type,
sK373: ( late_freeRes > pi > $o ) > name ).
thf(func_def_468,type,
sK374: ( late_freeRes > pi > $o ) > late_freeRes ).
thf(func_def_469,type,
sK375: ( late_freeRes > pi > $o ) > name ).
thf(func_def_470,type,
sK376: ( late_freeRes > pi > $o ) > late_freeRes ).
thf(func_def_471,type,
sK377: ( late_freeRes > pi > $o ) > pi ).
thf(func_def_472,type,
sK378: ( late_freeRes > pi > $o ) > late_freeRes ).
thf(func_def_473,type,
sK379: ( late_freeRes > pi > $o ) > pi ).
thf(func_def_474,type,
sK380: ( late_freeRes > pi > $o ) > late_freeRes ).
thf(func_def_475,type,
sK381: ( late_freeRes > pi > $o ) > pi ).
thf(func_def_476,type,
sK382: ( late_freeRes > pi > $o ) > name ).
thf(func_def_477,type,
sK383: ( late_freeRes > pi > $o ) > name ).
thf(func_def_478,type,
sK384: ( late_freeRes > pi > $o ) > late_freeRes ).
thf(func_def_479,type,
sK385: ( late_freeRes > pi > $o ) > name ).
thf(func_def_480,type,
sK386: ( late_freeRes > pi > $o ) > name ).
thf(func_def_481,type,
sK387: ( late_freeRes > pi > $o ) > late_freeRes ).
thf(func_def_482,type,
sK388: ( late_freeRes > pi > $o ) > pi ).
thf(func_def_483,type,
sK389: ( late_freeRes > late_residual > $o ) > late_subject ).
thf(func_def_484,type,
sK390: ( late_freeRes > late_residual > $o ) > pi ).
thf(func_def_485,type,
sK391: ( late_freeRes > late_residual > $o ) > late_freeRes ).
thf(func_def_486,type,
sK392: ( late_freeRes > late_residual > $o ) > name ).
thf(func_def_487,type,
sK393: ( late_freeRes > late_residual > $o ) > pi ).
thf(func_def_488,type,
sK394: ( late_freeRes > late_residual > $o ) > late_freeRes ).
thf(func_def_489,type,
sK395: ( late_freeRes > late_residual > $o ) > late_freeRes ).
thf(func_def_490,type,
sK396: ( late_residual > $o ) > late_freeRes ).
thf(func_def_491,type,
sK397: ( late_residual > $o ) > pi ).
thf(func_def_492,type,
sK398: ( late_residual > $o ) > pi ).
thf(func_def_493,type,
sK399: ( late_residual > $o ) > late_subject ).
thf(func_def_494,type,
sK400: ( late_residual > $o ) > name ).
thf(func_def_495,type,
sK401: pi > set_Pr1834926343_pi_pi > pi > name > name > late_subject ).
thf(func_def_496,type,
sK402: pi > set_Pr1834926343_pi_pi > pi > name > name > pi ).
thf(func_def_497,type,
sK403: pi > set_Pr1834926343_pi_pi > pi > name > name > name ).
thf(func_def_498,type,
sK404: pi > set_Pr1834926343_pi_pi > name > pi > name ).
thf(func_def_499,type,
sK405: pi > set_Pr1834926343_pi_pi > name > pi > pi ).
thf(func_def_500,type,
sK406: pi > set_Pr1834926343_pi_pi > name > pi > pi ).
thf(func_def_501,type,
sK407: pi > set_Pr1834926343_pi_pi > name > pi > late_freeRes ).
thf(func_def_502,type,
sK408: ( produc1141751126_pi_pi > pi > $o ) > name ).
thf(func_def_503,type,
sK409: ( produc1141751126_pi_pi > pi > $o ) > pi ).
thf(func_def_504,type,
sK410: ( produc1141751126_pi_pi > pi > $o ) > name ).
thf(func_def_505,type,
sK411: ( produc1141751126_pi_pi > pi > $o ) > produc1141751126_pi_pi ).
thf(func_def_506,type,
sK412: ( produc1141751126_pi_pi > pi > $o ) > pi ).
thf(func_def_507,type,
sK413: ( produc1141751126_pi_pi > pi > $o ) > produc1141751126_pi_pi ).
thf(func_def_508,type,
sK414: ( produc1141751126_pi_pi > pi > $o ) > pi ).
thf(func_def_509,type,
sK415: ( produc1141751126_pi_pi > pi > $o ) > pi ).
thf(func_def_510,type,
sK416: ( produc1141751126_pi_pi > pi > $o ) > produc1141751126_pi_pi ).
thf(func_def_511,type,
sK417: ( produc1141751126_pi_pi > pi > $o ) > name ).
thf(func_def_512,type,
sK418: ( produc1141751126_pi_pi > pi > $o ) > pi ).
thf(func_def_513,type,
sK419: ( produc1141751126_pi_pi > pi > $o ) > pi ).
thf(func_def_514,type,
sK420: ( produc1141751126_pi_pi > pi > $o ) > produc1141751126_pi_pi ).
thf(func_def_515,type,
sK421: ( produc1141751126_pi_pi > pi > $o ) > name ).
thf(func_def_516,type,
sK422: ( produc1141751126_pi_pi > pi > $o ) > pi ).
thf(func_def_517,type,
sK423: ( produc1141751126_pi_pi > pi > $o ) > name ).
thf(func_def_518,type,
sK424: ( produc1141751126_pi_pi > pi > $o ) > produc1141751126_pi_pi ).
thf(func_def_519,type,
sK425: ( produc1141751126_pi_pi > pi > $o ) > produc1141751126_pi_pi ).
thf(func_def_520,type,
sK426: ( produc1141751126_pi_pi > pi > $o ) > pi ).
thf(func_def_521,type,
sK427: ( produc1141751126_pi_pi > pi > $o ) > produc1141751126_pi_pi ).
thf(func_def_522,type,
sK428: ( produc1141751126_pi_pi > pi > $o ) > name ).
thf(func_def_523,type,
sK429: ( produc1141751126_pi_pi > pi > $o ) > name ).
thf(func_def_524,type,
sK430: ( produc1141751126_pi_pi > pi > $o ) > pi ).
thf(func_def_525,type,
sK431: ( produc1141751126_pi_pi > pi > $o ) > produc1141751126_pi_pi ).
thf(func_def_526,type,
sK432: ( produc1141751126_pi_pi > pi > $o ) > name ).
thf(func_def_527,type,
sK433: ( produc1141751126_pi_pi > pi > $o ) > pi ).
thf(func_def_528,type,
sK434: ( produc1141751126_pi_pi > pi > $o ) > name ).
thf(func_def_529,type,
sK435: ( produc1141751126_pi_pi > pi > $o ) > produc1141751126_pi_pi ).
thf(func_def_530,type,
sK436: ( produc1141751126_pi_pi > pi > $o ) > pi ).
thf(func_def_531,type,
sK437: ( produc1141751126_pi_pi > pi > $o ) > produc1141751126_pi_pi ).
thf(func_def_532,type,
sK438: pi > late_freeRes > name > set_Pr1834926343_pi_pi > pi > late_subject ).
thf(func_def_533,type,
sK439: pi > late_freeRes > name > set_Pr1834926343_pi_pi > pi > name ).
thf(func_def_534,type,
sK440: pi > late_freeRes > name > set_Pr1834926343_pi_pi > pi > pi ).
thf(func_def_535,type,
sK441: pi > name > pi > set_Pr1834926343_pi_pi > pi ).
thf(func_def_536,type,
sK442: pi > name > pi > set_Pr1834926343_pi_pi > name ).
thf(func_def_537,type,
sK443: pi > name > pi > set_Pr1834926343_pi_pi > pi ).
thf(func_def_538,type,
sK444: pi > name > pi > set_Pr1834926343_pi_pi > late_freeRes ).
thf(func_def_539,type,
sK445: pi > set_Pr1834926343_pi_pi > pi > late_subject > name > pi ).
thf(func_def_540,type,
sK446: produc1462499409ion_pi > name > noption_pi ).
thf(func_def_541,type,
sK447: produc1462499409ion_pi > name > noption_pi ).
thf(func_def_542,type,
sK448: ( pi > pi > $o ) > pi ).
thf(func_def_543,type,
sK449: ( pi > pi > $o ) > pi ).
thf(func_def_544,type,
sK450: ( pi > pi > $o ) > name ).
thf(func_def_545,type,
sK451: ( pi > pi > $o ) > name ).
thf(func_def_546,type,
sK452: ( pi > pi > $o ) > pi ).
thf(func_def_547,type,
sK453: ( pi > pi > $o ) > pi ).
thf(func_def_548,type,
sK454: ( pi > pi > $o ) > pi ).
thf(func_def_549,type,
sK455: ( pi > pi > $o ) > pi ).
thf(func_def_550,type,
sK456: ( pi > pi > $o ) > name ).
thf(func_def_551,type,
sK457: ( pi > pi > $o ) > pi ).
thf(func_def_552,type,
sK458: ( pi > pi > $o ) > pi ).
thf(func_def_553,type,
sK459: ( pi > pi > $o ) > pi ).
thf(func_def_554,type,
sK460: ( pi > pi > $o ) > pi ).
thf(func_def_555,type,
sK461: ( pi > pi > $o ) > pi ).
thf(func_def_556,type,
sK462: ( pi > pi > $o ) > name ).
thf(func_def_557,type,
sK463: ( pi > pi > $o ) > name ).
thf(func_def_558,type,
sK464: ( pi > pi > $o ) > pi ).
thf(func_def_559,type,
sK465: ( pi > pi > $o ) > pi ).
thf(func_def_560,type,
sK466: ( pi > pi > $o ) > pi ).
thf(func_def_561,type,
sK467: ( pi > pi > $o ) > name ).
thf(func_def_562,type,
sK468: ( pi > pi > $o ) > name ).
thf(func_def_563,type,
sK469: ( pi > pi > $o ) > pi ).
thf(func_def_564,type,
sK470: ( pi > pi > $o ) > pi ).
thf(func_def_565,type,
sK471: ( pi > pi > $o ) > name ).
thf(func_def_566,type,
sK472: ( pi > pi > $o ) > pi ).
thf(func_def_567,type,
sK473: ( pi > pi > $o ) > pi ).
thf(func_def_568,type,
sK474: ( pi > pi > $o ) > name ).
thf(func_def_569,type,
sK475: ( pi > pi > $o ) > pi ).
thf(func_def_570,type,
sK476: ( pi > pi > $o ) > pi ).
thf(func_def_571,type,
sK477: ( pi > pi > $o ) > pi ).
thf(func_def_572,type,
sK478: ( produc53907987_pi_pi > $o ) > produc1141751126_pi_pi ).
thf(func_def_573,type,
sK479: ( produc53907987_pi_pi > $o ) > name > noption_pi ).
thf(func_def_574,type,
sK480: ( produc1141751126_pi_pi > late_residual > $o ) > pi ).
thf(func_def_575,type,
sK481: ( produc1141751126_pi_pi > late_residual > $o ) > late_subject ).
thf(func_def_576,type,
sK482: ( produc1141751126_pi_pi > late_residual > $o ) > produc1141751126_pi_pi ).
thf(func_def_577,type,
sK483: ( produc1141751126_pi_pi > late_residual > $o ) > name ).
thf(func_def_578,type,
sK484: ( produc1141751126_pi_pi > late_residual > $o ) > pi ).
thf(func_def_579,type,
sK485: ( produc1141751126_pi_pi > late_residual > $o ) > produc1141751126_pi_pi ).
thf(func_def_580,type,
sK486: ( produc1141751126_pi_pi > late_residual > $o ) > late_freeRes ).
thf(func_def_581,type,
sK487: ( produc1141751126_pi_pi > $o ) > name ).
thf(func_def_582,type,
sK488: ( produc1141751126_pi_pi > $o ) > pi ).
thf(func_def_583,type,
sK489: ( produc1141751126_pi_pi > $o ) > pi ).
thf(func_def_584,type,
sK490: ( pi > $o ) > pi > late_freeRes > name > pi ).
thf(func_def_585,type,
sK491: ( pi > pi > $o ) > pi ).
thf(func_def_586,type,
sK492: ( pi > pi > $o ) > pi ).
thf(func_def_587,type,
sK493: ( pi > pi > $o ) > pi ).
thf(func_def_588,type,
sK494: ( pi > pi > $o ) > pi ).
thf(func_def_589,type,
sK495: ( pi > pi > $o ) > name ).
thf(func_def_590,type,
sK496: ( pi > pi > $o ) > pi ).
thf(func_def_591,type,
sK497: ( pi > pi > $o ) > pi ).
thf(func_def_592,type,
sK498: ( pi > pi > $o ) > pi ).
thf(func_def_593,type,
sK499: ( pi > pi > $o ) > pi ).
thf(func_def_594,type,
sK500: ( pi > pi > $o ) > pi ).
thf(func_def_595,type,
sK501: ( pi > pi > $o ) > pi ).
thf(func_def_596,type,
sK502: ( pi > pi > $o ) > pi ).
thf(func_def_597,type,
sK503: ( pi > pi > $o ) > name ).
thf(func_def_598,type,
sK504: ( pi > pi > $o ) > pi ).
thf(func_def_599,type,
sK505: ( pi > pi > $o ) > name ).
thf(func_def_600,type,
sK506: ( pi > pi > $o ) > pi ).
thf(func_def_601,type,
sK507: ( pi > pi > $o ) > pi ).
thf(func_def_602,type,
sK508: ( pi > pi > $o ) > name ).
thf(func_def_603,type,
sK509: ( pi > pi > $o ) > name ).
thf(func_def_604,type,
sK510: ( pi > pi > $o ) > pi ).
thf(func_def_605,type,
sK511: ( pi > pi > $o ) > pi ).
thf(func_def_606,type,
sK512: ( pi > pi > $o ) > name ).
thf(func_def_607,type,
sK513: ( pi > pi > $o ) > pi ).
thf(func_def_608,type,
sK514: ( pi > pi > $o ) > name ).
thf(func_def_609,type,
sK515: ( pi > pi > $o ) > name ).
thf(func_def_610,type,
sK516: ( pi > pi > $o ) > pi ).
thf(func_def_611,type,
sK517: ( pi > pi > $o ) > name ).
thf(func_def_612,type,
sK518: ( pi > pi > $o ) > pi ).
thf(func_def_613,type,
sK519: ( pi > pi > $o ) > pi ).
thf(func_def_614,type,
sK520: ( pi > pi > $o ) > pi ).
thf(func_def_615,type,
sK521: late_residual > name > pi > name > pi ).
thf(func_def_616,type,
sK522: late_residual > name > pi > name > name ).
thf(func_def_617,type,
sK523: late_residual > name > pi > name > name ).
thf(func_def_618,type,
sK524: set_Pr1834926343_pi_pi > name ).
thf(func_def_619,type,
sK525: set_Pr1834926343_pi_pi > pi ).
thf(func_def_620,type,
sK526: set_Pr1834926343_pi_pi > pi ).
thf(func_def_621,type,
sK527: set_Pr1834926343_pi_pi > pi ).
thf(func_def_622,type,
sK528: set_Pr1834926343_pi_pi > name ).
thf(func_def_623,type,
sK529: set_Pr1834926343_pi_pi > pi ).
thf(func_def_624,type,
sK530: set_Pr1834926343_pi_pi > pi ).
thf(func_def_625,type,
sK531: set_Pr1834926343_pi_pi > pi ).
thf(func_def_626,type,
sK532: set_Pr1834926343_pi_pi > pi ).
thf(func_def_627,type,
sK533: set_Pr1834926343_pi_pi > pi ).
thf(func_def_628,type,
sK534: set_Pr1834926343_pi_pi > name ).
thf(func_def_629,type,
sK535: set_Pr1834926343_pi_pi > pi ).
thf(func_def_630,type,
sK536: set_Pr1834926343_pi_pi > pi ).
thf(func_def_631,type,
sK537: set_Pr1834926343_pi_pi > pi ).
thf(func_def_632,type,
sK538: late_freeRes > name ).
thf(func_def_633,type,
sK539: produc1141751126_pi_pi > name ).
thf(func_def_634,type,
sK540: produc1141751126_pi_pi > product_prod_pi_pi ).
thf(func_def_635,type,
sK541: pi > set_Pr1834926343_pi_pi > pi > late_freeRes > pi ).
thf(func_def_636,type,
sK542: produc1141751126_pi_pi > pi > pi > name > set_Pr1834926343_pi_pi > pi ).
thf(func_def_637,type,
sK543: produc1141751126_pi_pi > pi > pi > name > set_Pr1834926343_pi_pi > name ).
thf(func_def_638,type,
sK544: produc1141751126_pi_pi > pi > pi > name > set_Pr1834926343_pi_pi > late_subject ).
thf(func_def_639,type,
sK545: pi > pi > name > set_Pr1834926343_pi_pi > pi ).
thf(func_def_640,type,
sK546: pi > pi > name > set_Pr1834926343_pi_pi > late_freeRes ).
thf(func_def_641,type,
sK547: pi > pi > name > set_Pr1834926343_pi_pi > pi ).
thf(func_def_642,type,
sK548: pi > pi > name > set_Pr1834926343_pi_pi > name ).
thf(func_def_643,type,
sK549: ( produc53907987_pi_pi > $o ) > produc1141751126_pi_pi ).
thf(func_def_644,type,
sK550: ( produc53907987_pi_pi > $o ) > name > noption_pi ).
thf(func_def_645,type,
sK551: late_subject > name > pi > ( pi > $o ) > pi > pi ).
thf(func_def_646,type,
sK552: late_subject > name > pi > ( pi > $o ) > pi > pi ).
thf(func_def_647,type,
sK553: produc1141751126_pi_pi > name ).
thf(func_def_648,type,
sK554: name > name > late_residual > pi > name ).
thf(func_def_649,type,
sK555: name > name > late_residual > pi > name ).
thf(func_def_650,type,
sK556: name > name > late_residual > pi > pi ).
thf(func_def_651,type,
sK557: produc629157763_pi_pi > pi ).
thf(func_def_652,type,
sK558: produc629157763_pi_pi > name > noption_pi ).
thf(func_def_653,type,
sK559: ( produc1462499409ion_pi > $o ) > name > noption_pi ).
thf(func_def_654,type,
sK560: ( produc1462499409ion_pi > $o ) > name > noption_pi ).
thf(func_def_655,type,
sK561: produc1462499409ion_pi > name > noption_pi ).
thf(func_def_656,type,
sK562: produc1462499409ion_pi > name > noption_pi ).
thf(func_def_658,type,
inv_late_InputS_564: late_subject > name ).
thf(func_def_659,type,
inv_late_BoundOutputS_565: late_subject > name ).
thf(f2,axiom,
( ( subs @ ( res @ x @ q ) @ y @ u )
= ( res @ x @ ( subs @ q @ y @ u ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1__092_060open_062_060_092_060nu_062x_062Q_091y_058_058_061u_093_A_061_A_060_092_060nu_062x_062Q_091y_058_058_061u_093_092_060close_062) ).
thf(f4,axiom,
fresh_name_pi @ x @ ( subs @ p2 @ y @ u ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3__092_060open_062x_A_092_060sharp_062_AP_H_091y_058_058_061u_093_092_060close_062) ).
thf(f6,axiom,
( ( subs @ ( res @ x @ ( par @ p2 @ q ) ) @ y @ u )
= ( res @ x @ ( par @ ( subs @ p2 @ y @ u ) @ ( subs @ q @ y @ u ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5__092_060open_062_060_092_060nu_062x_062_IP_H_A_092_060parallel_062_AQ_J_091y_058_058_061u_093_A_061_A_060_092_060nu_062x_062_IP_H_091y_058_058_061u_093_A_092_060parallel_062_AQ_091y_058_058_061u_093_J_092_060close_062) ).
thf(f9,axiom,
! [X0: name,X2: pi,X1: pi] :
( ( fresh_name_pi @ X0 @ X1 )
=> ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( res @ X0 @ ( par @ X1 @ X2 ) ) @ ( par @ X1 @ ( res @ X0 @ X2 ) ) ) @ rel ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8_Res) ).
thf(f339,conjecture,
member558706512_pi_pi @ ( product_Pair_pi_pi @ ( subs @ ( res @ x @ ( par @ p2 @ q ) ) @ y @ u ) @ ( par @ ( subs @ p2 @ y @ u ) @ ( subs @ ( res @ x @ q ) @ y @ u ) ) ) @ rel,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f340,negated_conjecture,
~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( subs @ ( res @ x @ ( par @ p2 @ q ) ) @ y @ u ) @ ( par @ ( subs @ p2 @ y @ u ) @ ( subs @ ( res @ x @ q ) @ y @ u ) ) ) @ rel ),
inference(negated_conjecture,[status(cth)],[f339]) ).
thf(f468,plain,
fresh_name_pi @ x @ ( subs @ p2 @ y @ u ),
inference(rectify,[],[f4]) ).
thf(f469,plain,
( ( fresh_name_pi @ x @ ( subs @ p2 @ y @ u ) )
= $true ),
inference(fool_elimination,[],[f468]) ).
thf(f686,plain,
~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( subs @ ( res @ x @ ( par @ p2 @ q ) ) @ y @ u ) @ ( par @ ( subs @ p2 @ y @ u ) @ ( subs @ ( res @ x @ q ) @ y @ u ) ) ) @ rel ),
inference(rectify,[],[f340]) ).
thf(f687,plain,
( ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( subs @ ( res @ x @ ( par @ p2 @ q ) ) @ y @ u ) @ ( par @ ( subs @ p2 @ y @ u ) @ ( subs @ ( res @ x @ q ) @ y @ u ) ) ) @ rel )
!= $true ),
inference(fool_elimination,[],[f686]) ).
thf(f696,plain,
! [X0: name,X1: pi,X2: pi] :
( ( fresh_name_pi @ X0 @ X2 )
=> ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( res @ X0 @ ( par @ X2 @ X1 ) ) @ ( par @ X2 @ ( res @ X0 @ X1 ) ) ) @ rel ) ),
inference(rectify,[],[f9]) ).
thf(f697,plain,
! [X1: pi,X2: pi,X0: name] :
( ( ( fresh_name_pi @ X0 @ X2 )
= $true )
=> ( $true
= ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( res @ X0 @ ( par @ X2 @ X1 ) ) @ ( par @ X2 @ ( res @ X0 @ X1 ) ) ) @ rel ) ) ),
inference(fool_elimination,[],[f696]) ).
thf(f892,plain,
( ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( subs @ ( res @ x @ ( par @ p2 @ q ) ) @ y @ u ) @ ( par @ ( subs @ p2 @ y @ u ) @ ( subs @ ( res @ x @ q ) @ y @ u ) ) ) @ rel )
!= $true ),
inference(flattening,[],[f687]) ).
thf(f1138,plain,
! [X1: pi,X2: pi,X0: name] :
( ( $true
= ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( res @ X0 @ ( par @ X2 @ X1 ) ) @ ( par @ X2 @ ( res @ X0 @ X1 ) ) ) @ rel ) )
| ( ( fresh_name_pi @ X0 @ X2 )
!= $true ) ),
inference(ennf_transformation,[],[f697]) ).
thf(f1465,plain,
! [X0: pi,X1: pi,X2: name] :
( ( ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( res @ X2 @ ( par @ X1 @ X0 ) ) @ ( par @ X1 @ ( res @ X2 @ X0 ) ) ) @ rel )
= $true )
| ( ( fresh_name_pi @ X2 @ X1 )
!= $true ) ),
inference(rectify,[],[f1138]) ).
thf(f2121,plain,
( ( subs @ ( res @ x @ q ) @ y @ u )
= ( res @ x @ ( subs @ q @ y @ u ) ) ),
inference(cnf_transformation,[],[f2]) ).
thf(f2142,plain,
( ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( subs @ ( res @ x @ ( par @ p2 @ q ) ) @ y @ u ) @ ( par @ ( subs @ p2 @ y @ u ) @ ( subs @ ( res @ x @ q ) @ y @ u ) ) ) @ rel )
!= $true ),
inference(cnf_transformation,[],[f892]) ).
thf(f2180,plain,
! [X2: name,X0: pi,X1: pi] :
( ( ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( res @ X2 @ ( par @ X1 @ X0 ) ) @ ( par @ X1 @ ( res @ X2 @ X0 ) ) ) @ rel )
= $true )
| ( ( fresh_name_pi @ X2 @ X1 )
!= $true ) ),
inference(cnf_transformation,[],[f1465]) ).
thf(f2627,plain,
( ( fresh_name_pi @ x @ ( subs @ p2 @ y @ u ) )
= $true ),
inference(cnf_transformation,[],[f469]) ).
thf(f2657,plain,
( ( subs @ ( res @ x @ ( par @ p2 @ q ) ) @ y @ u )
= ( res @ x @ ( par @ ( subs @ p2 @ y @ u ) @ ( subs @ q @ y @ u ) ) ) ),
inference(cnf_transformation,[],[f6]) ).
thf(f2805,definition,
( spl563_2
<=> ( ( fresh_name_pi @ x @ ( subs @ p2 @ y @ u ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl563_2])],[avatar_definition]) ).
thf(f2807,plain,
( ( ( fresh_name_pi @ x @ ( subs @ p2 @ y @ u ) )
= $true )
| ~ spl563_2 ),
inference(avatar_component_clause,[],[f2805]) ).
thf(f2808,plain,
spl563_2,
inference(avatar_split_clause,[],[f2627,f2805]) ).
thf(f2840,definition,
( spl563_9
<=> ( ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( subs @ ( res @ x @ ( par @ p2 @ q ) ) @ y @ u ) @ ( par @ ( subs @ p2 @ y @ u ) @ ( subs @ ( res @ x @ q ) @ y @ u ) ) ) @ rel )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl563_9])],[avatar_definition]) ).
thf(f2842,plain,
( ( ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( subs @ ( res @ x @ ( par @ p2 @ q ) ) @ y @ u ) @ ( par @ ( subs @ p2 @ y @ u ) @ ( subs @ ( res @ x @ q ) @ y @ u ) ) ) @ rel )
!= $true )
| spl563_9 ),
inference(avatar_component_clause,[],[f2840]) ).
thf(f2843,plain,
~ spl563_9,
inference(avatar_split_clause,[],[f2142,f2840]) ).
thf(f2850,definition,
( spl563_11
<=> ( ( subs @ ( res @ x @ q ) @ y @ u )
= ( res @ x @ ( subs @ q @ y @ u ) ) ) ),
introduced(definition,[new_symbols(definition,[spl563_11])],[avatar_definition]) ).
thf(f2852,plain,
( ( ( subs @ ( res @ x @ q ) @ y @ u )
= ( res @ x @ ( subs @ q @ y @ u ) ) )
| ~ spl563_11 ),
inference(avatar_component_clause,[],[f2850]) ).
thf(f2853,plain,
spl563_11,
inference(avatar_split_clause,[],[f2121,f2850]) ).
thf(f2875,definition,
( spl563_16
<=> ( ( subs @ ( res @ x @ ( par @ p2 @ q ) ) @ y @ u )
= ( res @ x @ ( par @ ( subs @ p2 @ y @ u ) @ ( subs @ q @ y @ u ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl563_16])],[avatar_definition]) ).
thf(f2877,plain,
( ( ( subs @ ( res @ x @ ( par @ p2 @ q ) ) @ y @ u )
= ( res @ x @ ( par @ ( subs @ p2 @ y @ u ) @ ( subs @ q @ y @ u ) ) ) )
| ~ spl563_16 ),
inference(avatar_component_clause,[],[f2875]) ).
thf(f2878,plain,
spl563_16,
inference(avatar_split_clause,[],[f2657,f2875]) ).
thf(f3327,plain,
( ( ( fresh_name_pi @ x @ ( subs @ p2 @ y @ u ) )
!= $true )
| ( $true
= ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( subs @ ( res @ x @ ( par @ p2 @ q ) ) @ y @ u ) @ ( par @ ( subs @ p2 @ y @ u ) @ ( res @ x @ ( subs @ q @ y @ u ) ) ) ) @ rel ) )
| ~ spl563_16 ),
inference(superposition,[],[f2180,f2877]) ).
thf(f3340,plain,
( ( $true
= ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( subs @ ( res @ x @ ( par @ p2 @ q ) ) @ y @ u ) @ ( par @ ( subs @ p2 @ y @ u ) @ ( res @ x @ ( subs @ q @ y @ u ) ) ) ) @ rel ) )
| ~ spl563_2
| ~ spl563_16 ),
inference(forward_subsumption_resolution,[],[f3327,f2807]) ).
thf(f3351,plain,
( ( ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( subs @ ( res @ x @ ( par @ p2 @ q ) ) @ y @ u ) @ ( par @ ( subs @ p2 @ y @ u ) @ ( subs @ ( res @ x @ q ) @ y @ u ) ) ) @ rel )
= $true )
| ~ spl563_2
| ~ spl563_11
| ~ spl563_16 ),
inference(forward_demodulation,[],[f3340,f2852]) ).
thf(f3352,plain,
( $false
| ~ spl563_2
| spl563_9
| ~ spl563_11
| ~ spl563_16 ),
inference(forward_subsumption_resolution,[],[f3351,f2842]) ).
thf(f3353,plain,
( ~ spl563_2
| spl563_9
| ~ spl563_11
| ~ spl563_16 ),
inference(avatar_contradiction_clause,[],[f3352]) ).
cnf(s2,plain,
spl563_2,
inference(sat_conversion,[],[f2808]) ).
cnf(s9,plain,
~ spl563_9,
inference(sat_conversion,[],[f2843]) ).
cnf(s11,plain,
spl563_11,
inference(sat_conversion,[],[f2853]) ).
cnf(s16,plain,
spl563_16,
inference(sat_conversion,[],[f2878]) ).
cnf(s44,plain,
( ~ spl563_2
| spl563_9
| ~ spl563_11
| ~ spl563_16 ),
inference(sat_conversion,[],[f3353]) ).
cnf(s50,plain,
~ spl563_2,
inference(rat,[],[s44,s16,s11,s9]) ).
cnf(s56,plain,
$false,
inference(rat,[],[s2,s50]) ).
thf(f3354,plain,
$false,
inference(avatar_sat_refutation,[],[s56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP188^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.21 % Computer : n010.cluster.edu
% 0.10/0.21 % Model : x86_64 x86_64
% 0.10/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.21 % Memory : 8046.5625MB
% 0.10/0.21 % OS : Linux 6.8.0-71-generic
% 0.10/0.21 % CPULimit : 300
% 0.10/0.21 % WCLimit : 300
% 0.10/0.21 % DateTime : Tue Sep 29 20:09:19 UTC 2026
% 0.10/0.21 % CPUTime :
% 0.10/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.25 Running higher-order theorem proving
% 0.23/0.32 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.83/0.50 % (3344488)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.83/0.50 % (3344494)lrs+10_16_si=on:nwc=1.5:random_seed=1605384060:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.83/0.50 % (3344494)Instruction limit reached!
% 0.83/0.50 % (3344494)------------------------------
% 0.83/0.50 % (3344494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.50 % (3344494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.50 % (3344494)CaDiCaL version: 2.1.3
% 0.83/0.50 % (3344494)Termination reason: Instruction limit
% 0.83/0.50 % (3344494)Termination phase: shuffling
% 0.83/0.50 % (3344494)Time elapsed: 0.005 s
% 0.83/0.50 % (3344494)Peak memory usage: 11 MB
% 0.83/0.50 % (3344494)Instructions burned: 21 (million)
% 0.83/0.50 % (3344495)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=744028663:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.83/0.50 % (3344493)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1630010227:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.83/0.51 % (3344495)Instruction limit reached!
% 0.83/0.51 % (3344495)------------------------------
% 0.83/0.51 % (3344495)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.51 % (3344495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.51 % (3344495)CaDiCaL version: 2.1.3
% 0.83/0.51 % (3344495)Termination reason: Instruction limit
% 0.83/0.51 % (3344495)Termination phase: shuffling
% 0.83/0.51 % (3344495)Time elapsed: 0.002 s
% 0.83/0.51 % (3344495)Peak memory usage: 10 MB
% 0.83/0.51 % (3344495)Instructions burned: 3 (million)
% 0.83/0.51 % (3344501)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3866104851:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.83/0.51 % (3344501)Instruction limit reached!
% 0.83/0.51 % (3344501)------------------------------
% 0.83/0.51 % (3344501)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.51 % (3344501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.51 % (3344501)CaDiCaL version: 2.1.3
% 0.83/0.51 % (3344501)Termination reason: Instruction limit
% 0.83/0.51 % (3344501)Termination phase: shuffling
% 0.83/0.51 % (3344501)Time elapsed: 0.001 s
% 0.83/0.51 % (3344501)Peak memory usage: 10 MB
% 0.83/0.51 % (3344501)Instructions burned: 3 (million)
% 0.83/0.51 % (3344497)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=676323311:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.83/0.51 % (3344506)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.83/0.51 % (3344504)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2235864668:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.83/0.51 % (3344506)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3558842350:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.83/0.51 % (3344504)Instruction limit reached!
% 0.83/0.51 % (3344504)------------------------------
% 0.83/0.51 % (3344504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.51 % (3344504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.51 % (3344504)CaDiCaL version: 2.1.3
% 0.83/0.51 % (3344504)Termination reason: Instruction limit
% 0.83/0.51 % (3344504)Termination phase: shuffling
% 0.83/0.51 % (3344504)Time elapsed: 0.003 s
% 0.83/0.51 % (3344504)Peak memory usage: 10 MB
% 0.83/0.51 % (3344504)Instructions burned: 6 (million)
% 0.83/0.51 % (3344499)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.83/0.51 % (3344499)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.83/0.51 % (3344506)Instruction limit reached!
% 0.83/0.51 % (3344506)------------------------------
% 0.83/0.51 % (3344506)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.51 % (3344506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.51 % (3344506)CaDiCaL version: 2.1.3
% 0.83/0.51 % (3344506)Termination reason: Instruction limit
% 0.83/0.53 % (3344506)Termination phase: shuffling
% 0.83/0.53 % (3344506)Time elapsed: 0.004 s
% 0.83/0.53 % (3344506)Peak memory usage: 10 MB
% 0.83/0.53 % (3344506)Instructions burned: 9 (million)
% 0.83/0.53 % (3344496)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=2270655587:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.83/0.53 % (3344498)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=4004753844:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.83/0.53 % (3344499)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=2018768350:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.83/0.53 % (3344497)Instruction limit reached!
% 0.83/0.53 % (3344497)------------------------------
% 0.83/0.53 % (3344497)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.53 % (3344497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.53 % (3344497)CaDiCaL version: 2.1.3
% 0.83/0.53 % (3344497)Termination reason: Instruction limit
% 0.83/0.53 % (3344497)Termination phase: shuffling
% 0.83/0.53 % (3344497)Time elapsed: 0.020 s
% 0.83/0.53 % (3344497)Peak memory usage: 11 MB
% 0.83/0.53 % (3344497)Instructions burned: 24 (million)
% 0.83/0.53 % (3344493)Instruction limit reached!
% 0.83/0.53 % (3344493)------------------------------
% 0.83/0.53 % (3344493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.53 % (3344493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.53 % (3344493)CaDiCaL version: 2.1.3
% 0.83/0.53 % (3344493)Termination reason: Instruction limit
% 0.83/0.53 % (3344493)Termination phase: Preprocessing 3
% 0.83/0.53 % (3344493)Time elapsed: 0.040 s
% 0.83/0.53 % (3344493)Peak memory usage: 12 MB
% 0.83/0.53 % (3344493)Instructions burned: 87 (million)
% 0.83/0.53 % (3344511)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.83/0.53 % (3344511)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.83/0.53 % (3344511)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=86019299:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.83/0.53 % (3344510)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2761706864:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.83/0.53 % (3344516)lrs+10_1_si=on:cs=on:random_seed=191525468:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.83/0.53 % (3344510)Instruction limit reached!
% 0.83/0.53 % (3344510)------------------------------
% 0.83/0.53 % (3344510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.53 % (3344510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.53 % (3344510)CaDiCaL version: 2.1.3
% 0.83/0.53 % (3344510)Termination reason: Instruction limit
% 0.83/0.53 % (3344510)Termination phase: shuffling
% 0.83/0.53 % (3344510)Time elapsed: 0.011 s
% 0.83/0.53 % (3344510)Peak memory usage: 10 MB
% 0.83/0.53 % (3344510)Instructions burned: 13 (million)
% 0.83/0.53 % (3344516)Instruction limit reached!
% 0.83/0.53 % (3344516)------------------------------
% 0.83/0.53 % (3344516)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.53 % (3344516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.53 % (3344516)CaDiCaL version: 2.1.3
% 0.83/0.53 % (3344516)Termination reason: Instruction limit
% 0.83/0.53 % (3344516)Termination phase: shuffling
% 0.83/0.53 % (3344516)Time elapsed: 0.004 s
% 0.83/0.53 % (3344516)Peak memory usage: 10 MB
% 0.83/0.53 % (3344516)Instructions burned: 8 (million)
% 0.83/0.53 % (3344498)Instruction limit reached!
% 0.83/0.53 % (3344498)------------------------------
% 0.83/0.53 % (3344498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.53 % (3344498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.53 % (3344498)CaDiCaL version: 2.1.3
% 0.83/0.53 % (3344498)Termination reason: Instruction limit
% 0.83/0.53 % (3344498)Termination phase: Naming
% 0.83/0.53 % (3344498)Time elapsed: 0.035 s
% 0.83/0.53 % (3344498)Peak memory usage: 12 MB
% 0.83/0.53 % (3344498)Instructions burned: 77 (million)
% 0.83/0.53 % (3344511)Instruction limit reached!
% 0.83/0.53 % (3344511)------------------------------
% 0.83/0.53 % (3344511)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.53 % (3344511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.53 % (3344511)CaDiCaL version: 2.1.3
% 0.83/0.53 % (3344511)Termination reason: Instruction limit
% 0.83/0.53 % (3344511)Termination phase: shuffling
% 0.83/0.53 % (3344511)Time elapsed: 0.022 s
% 0.83/0.53 % (3344511)Peak memory usage: 10 MB
% 0.83/0.53 % (3344511)Instructions burned: 28 (million)
% 0.83/0.53 % (3344515)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=90735875:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.83/0.53 % (3344520)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.83/0.53 % (3344520)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=3136502962:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.83/0.53 % (3344523)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3119164578:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.83/0.53 % (3344520)Instruction limit reached!
% 0.83/0.53 % (3344520)------------------------------
% 0.83/0.53 % (3344520)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.53 % (3344520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.53 % (3344520)CaDiCaL version: 2.1.3
% 0.83/0.53 % (3344520)Termination reason: Instruction limit
% 0.83/0.53 % (3344520)Termination phase: shuffling
% 0.83/0.53 % (3344520)Time elapsed: 0.002 s
% 0.83/0.53 % (3344520)Peak memory usage: 10 MB
% 0.83/0.53 % (3344520)Instructions burned: 3 (million)
% 0.83/0.53 % (3344521)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=705652262:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.83/0.53 % (3344522)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3275824946:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.83/0.53 % (3344523)Instruction limit reached!
% 0.83/0.53 % (3344523)------------------------------
% 0.83/0.53 % (3344523)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.53 % (3344523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.53 % (3344523)CaDiCaL version: 2.1.3
% 0.83/0.53 % (3344523)Termination reason: Instruction limit
% 0.83/0.53 % (3344523)Termination phase: shuffling
% 0.83/0.53 % (3344523)Time elapsed: 0.012 s
% 0.83/0.53 % (3344523)Peak memory usage: 11 MB
% 0.83/0.53 % (3344523)Instructions burned: 26 (million)
% 0.83/0.53 % (3344527)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1100988004:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.83/0.53 % (3344521)Instruction limit reached!
% 0.83/0.53 % (3344521)------------------------------
% 0.83/0.53 % (3344521)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.53 % (3344521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.53 % (3344521)CaDiCaL version: 2.1.3
% 0.83/0.53 % (3344521)Termination reason: Instruction limit
% 0.83/0.53 % (3344521)Termination phase: Property scanning
% 0.83/0.53 % (3344521)Time elapsed: 0.016 s
% 0.83/0.53 % (3344521)Peak memory usage: 11 MB
% 0.83/0.53 % (3344521)Instructions burned: 38 (million)
% 0.83/0.53 % (3344527)Instruction limit reached!
% 0.83/0.53 % (3344527)------------------------------
% 0.83/0.53 % (3344527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.53 % (3344527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.53 % (3344527)CaDiCaL version: 2.1.3
% 0.83/0.53 % (3344527)Termination reason: Instruction limit
% 0.83/0.53 % (3344527)Termination phase: shuffling
% 0.83/0.53 % (3344527)Time elapsed: 0.007 s
% 0.83/0.53 % (3344527)Peak memory usage: 10 MB
% 0.83/0.53 % (3344527)Instructions burned: 15 (million)
% 0.83/0.53 % (3344530)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1779110485:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.83/0.53 % (3344532)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3933424155:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.83/0.53 % (3344533)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1974578994:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.83/0.53 % (3344496) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3344488-3344496"...
% 0.83/0.53 % (3344533)Instruction limit reached!
% 0.83/0.53 % (3344533)------------------------------
% 0.83/0.53 % (3344533)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.53 % (3344533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.53 % (3344533)CaDiCaL version: 2.1.3
% 0.83/0.53 % (3344533)Termination reason: Instruction limit
% 0.83/0.53 % (3344533)Termination phase: shuffling
% 0.83/0.53 % (3344533)Time elapsed: 0.003 s
% 0.83/0.53 % (3344533)Peak memory usage: 10 MB
% 0.83/0.53 % (3344533)Instructions burned: 6 (million)
% 0.83/0.53 % (3344496)...printing done.
% 0.83/0.53 % (3344515)Instruction limit reached!
% 0.83/0.53 % (3344515)------------------------------
% 0.83/0.53 % (3344515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.53 % (3344515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.53 % (3344515)CaDiCaL version: 2.1.3
% 0.83/0.53 % (3344515)Termination reason: Instruction limit
% 0.83/0.53 % (3344515)Termination phase: Property scanning
% 0.83/0.53 % (3344515)Time elapsed: 0.074 s
% 0.83/0.53 % (3344515)Peak memory usage: 12 MB
% 0.83/0.53 % (3344515)Instructions burned: 87 (million)
% 0.83/0.53 % (3344532)Instruction limit reached!
% 0.83/0.53 % (3344532)------------------------------
% 0.83/0.53 % (3344532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.53 % (3344532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.53 % (3344532)CaDiCaL version: 2.1.3
% 0.83/0.53 % (3344532)Termination reason: Instruction limit
% 0.83/0.53 % (3344532)Termination phase: shuffling
% 0.83/0.53 % (3344532)Time elapsed: 0.007 s
% 0.83/0.53 % (3344532)Peak memory usage: 10 MB
% 0.83/0.53 % (3344532)Instructions burned: 14 (million)
% 0.83/0.53 % (3344496)Refutation found. Thanks to Tanya!
% 0.83/0.53 % SZS status Theorem for theBenchmark
% 0.83/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.83/0.54 % (3344496)------------------------------
% 0.83/0.54 % (3344496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.54 % (3344496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.54 % (3344496)CaDiCaL version: 2.1.3
% 0.83/0.54 % (3344496)Termination reason: Refutation
% 0.83/0.54 % (3344496)Time elapsed: 0.116 s
% 0.83/0.54 % (3344496)Peak memory usage: 17 MB
% 0.83/0.54 % (3344496)Instructions burned: 413 (million)
% 0.83/0.54 % (3344488)Success in time 0.209 s
% 0.83/0.54 % Vampire exiting
%------------------------------------------------------------------------------