%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP191^1 : 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 : n012.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 08:08:45 AM UTC 2026
% Result : ContradictoryAxioms 0.39s 0.27s
% Output : Refutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 10 unt; 0 typ; 1 def)
% Number of atoms : 18 ( 7 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 24 ( 8 ~; 3 |; 0 &; 12 @)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 52 ( 51 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 372 ( 370 usr; 20 con; 0-5 aty)
% Number of variables : 4 ( 0 sgn 4 !; 0 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
list_P431515740_pi_pi: $tType ).
thf(type_def_6,type,
set_Pr806375235ubject: $tType ).
thf(type_def_7,type,
set_Pr1780909331reeRes: $tType ).
thf(type_def_8,type,
produc1141751126_pi_pi: $tType ).
thf(type_def_9,type,
produc1359399907ubject: $tType ).
thf(type_def_10,type,
produc355105483reeRes: $tType ).
thf(type_def_11,type,
produc214645451ubject: $tType ).
thf(type_def_12,type,
produc1357834675reeRes: $tType ).
thf(type_def_13,type,
set_Pr1131282415pi_Rep: $tType ).
thf(type_def_14,type,
produc971140967t_unit: $tType ).
thf(type_def_15,type,
produc257012921pi_Rep: $tType ).
thf(type_def_16,type,
produc1777919905pi_Rep: $tType ).
thf(type_def_17,type,
list_name_noption_pi: $tType ).
thf(type_def_18,type,
list_P227219501e_name: $tType ).
thf(type_def_19,type,
set_Pr443758855e_name: $tType ).
thf(type_def_20,type,
produc1998742700t_name: $tType ).
thf(type_def_21,type,
produc2052722628s_name: $tType ).
thf(type_def_22,type,
produc140253050ect_pi: $tType ).
thf(type_def_23,type,
produc992857746Res_pi: $tType ).
thf(type_def_24,type,
set_Pr1834926343_pi_pi: $tType ).
thf(type_def_25,type,
produc135724498t_name: $tType ).
thf(type_def_26,type,
produc1212344719pi_Rep: $tType ).
thf(type_def_27,type,
produc546891580t_unit: $tType ).
thf(type_def_28,type,
produc738223008nit_pi: $tType ).
thf(type_def_29,type,
produc1028309998t_unit: $tType ).
thf(type_def_30,type,
produc367475239e_name: $tType ).
thf(type_def_31,type,
product_prod_pi_name: $tType ).
thf(type_def_32,type,
product_prod_name_pi: $tType ).
thf(type_def_33,type,
product_prod_pi_pi: $tType ).
thf(type_def_34,type,
list_Late_subject: $tType ).
thf(type_def_35,type,
list_Late_freeRes: $tType ).
thf(type_def_36,type,
set_Late_subject: $tType ).
thf(type_def_37,type,
set_Late_freeRes: $tType ).
thf(type_def_38,type,
list_Product_unit: $tType ).
thf(type_def_39,type,
list_pi_Rep: $tType ).
thf(type_def_40,type,
late_residual_Rep: $tType ).
thf(type_def_41,type,
noption_pi: $tType ).
thf(type_def_42,type,
late_subject_Rep: $tType ).
thf(type_def_43,type,
late_freeRes_Rep: $tType ).
thf(type_def_44,type,
set_pi_Rep: $tType ).
thf(type_def_45,type,
list_name: $tType ).
thf(type_def_46,type,
set_name: $tType ).
thf(type_def_47,type,
list_pi: $tType ).
thf(type_def_48,type,
late_residual: $tType ).
thf(type_def_49,type,
late_subject: $tType ).
thf(type_def_50,type,
late_freeRes: $tType ).
thf(type_def_51,type,
set_pi: $tType ).
thf(type_def_52,type,
product_unit: $tType ).
thf(type_def_53,type,
pi_Rep: $tType ).
thf(type_def_54,type,
name: $tType ).
thf(type_def_55,type,
pi: $tType ).
thf(type_def_56,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
input: name > name > pi > pi ).
thf(func_def_1,type,
par: pi > pi > pi ).
thf(func_def_2,type,
res: name > pi > pi ).
thf(func_def_3,type,
swap_name: produc367475239e_name > name > name ).
thf(func_def_4,type,
subs: pi > name > name > pi ).
thf(func_def_5,type,
defaul1399868459t_unit: product_unit ).
thf(func_def_6,type,
if_name: $o > name > name > name ).
thf(func_def_7,type,
if_pi: $o > pi > pi > pi ).
thf(func_def_8,type,
if_pi_Rep: $o > pi_Rep > pi_Rep > pi_Rep ).
thf(func_def_9,type,
if_Late_freeRes: $o > late_freeRes > late_freeRes > late_freeRes ).
thf(func_def_10,type,
if_Late_subject: $o > late_subject > late_subject > late_subject ).
thf(func_def_11,type,
late_OutputR: name > name > late_freeRes ).
thf(func_def_12,type,
late_TauR: late_freeRes ).
thf(func_def_13,type,
late_BoundR: late_subject > name > pi > late_residual ).
thf(func_def_14,type,
late_FreeR: late_freeRes > pi > late_residual ).
thf(func_def_15,type,
late_r347633188eR_Rep: late_freeRes > pi > late_residual_Rep ).
thf(func_def_16,type,
late_BoundOutputS: name > late_subject ).
thf(func_def_17,type,
late_InputS: name > late_subject ).
thf(func_def_18,type,
late_transitions: pi > late_residual > $o ).
thf(func_def_19,type,
cons_name_noption_pi: ( name > noption_pi ) > list_name_noption_pi > list_name_noption_pi ).
thf(func_def_20,type,
cons_name: name > list_name > list_name ).
thf(func_def_21,type,
cons_pi: pi > list_pi > list_pi ).
thf(func_def_22,type,
cons_pi_Rep: pi_Rep > list_pi_Rep > list_pi_Rep ).
thf(func_def_23,type,
cons_Late_freeRes: late_freeRes > list_Late_freeRes > list_Late_freeRes ).
thf(func_def_24,type,
cons_Late_subject: late_subject > list_Late_subject > list_Late_subject ).
thf(func_def_25,type,
cons_P1213805021e_name: produc367475239e_name > list_P227219501e_name > list_P227219501e_name ).
thf(func_def_26,type,
cons_P749510156_pi_pi: produc1141751126_pi_pi > list_P431515740_pi_pi > list_P431515740_pi_pi ).
thf(func_def_27,type,
cons_Product_unit: product_unit > list_Product_unit > list_Product_unit ).
thf(func_def_28,type,
nil_Pr743626285e_name: list_P227219501e_name ).
thf(func_def_29,type,
abs_fun_name_pi: name > pi > name > noption_pi ).
thf(func_def_30,type,
fresh_543891186ion_pi: name > ( name > noption_pi ) > $o ).
thf(func_def_31,type,
fresh_name_name: name > name > $o ).
thf(func_def_32,type,
fresh_name_pi: name > pi > $o ).
thf(func_def_33,type,
fresh_name_pi_Rep: name > pi_Rep > $o ).
thf(func_def_34,type,
fresh_1641682979reeRes: name > late_freeRes > $o ).
thf(func_def_35,type,
fresh_81631222sidual: name > late_residual > $o ).
thf(func_def_36,type,
fresh_717452603ubject: name > late_subject > $o ).
thf(func_def_37,type,
fresh_1135477378ion_pi: name > list_name_noption_pi > $o ).
thf(func_def_38,type,
fresh_name_list_name: name > list_name > $o ).
thf(func_def_39,type,
fresh_name_list_pi: name > list_pi > $o ).
thf(func_def_40,type,
fresh_922791155e_name: name > list_P227219501e_name > $o ).
thf(func_def_41,type,
fresh_1958133282_pi_pi: name > list_P431515740_pi_pi > $o ).
thf(func_def_42,type,
fresh_1732817625t_unit: name > list_Product_unit > $o ).
thf(func_def_43,type,
fresh_441084397e_name: name > produc367475239e_name > $o ).
thf(func_def_44,type,
fresh_93646139ame_pi: name > product_prod_name_pi > $o ).
thf(func_def_45,type,
fresh_1376661020_pi_pi: name > produc1141751126_pi_pi > $o ).
thf(func_def_46,type,
fresh_90540034t_unit: name > produc546891580t_unit > $o ).
thf(func_def_47,type,
fresh_261416607i_name: name > product_prod_pi_name > $o ).
thf(func_def_48,type,
fresh_1627595501_pi_pi: name > product_prod_pi_pi > $o ).
thf(func_def_49,type,
fresh_997779380t_unit: name > produc1028309998t_unit > $o ).
thf(func_def_50,type,
fresh_1826856600t_name: name > produc135724498t_name > $o ).
thf(func_def_51,type,
fresh_707692390nit_pi: name > produc738223008nit_pi > $o ).
thf(func_def_52,type,
fresh_994967853t_unit: name > produc971140967t_unit > $o ).
thf(func_def_53,type,
fresh_1143631827t_unit: name > product_unit > $o ).
thf(func_def_54,type,
perm_n382765978reeRes: list_P227219501e_name > ( name > late_freeRes ) > name > late_freeRes ).
thf(func_def_55,type,
perm_n1387060402ubject: list_P227219501e_name > ( name > late_subject ) > name > late_subject ).
thf(func_def_56,type,
perm_n1667196784ion_pi: list_P227219501e_name > ( name > noption_pi ) > name > noption_pi ).
thf(func_def_57,type,
perm_n1333244520reeRes: list_P227219501e_name > ( pi > late_freeRes ) > pi > late_freeRes ).
thf(func_def_58,type,
perm_n190055296ubject: list_P227219501e_name > ( pi > late_subject ) > pi > late_subject ).
thf(func_def_59,type,
perm_n1841560599reeRes: list_P227219501e_name > ( pi_Rep > late_freeRes ) > pi_Rep > late_freeRes ).
thf(func_def_60,type,
perm_n698371375ubject: list_P227219501e_name > ( pi_Rep > late_subject ) > pi_Rep > late_subject ).
thf(func_def_61,type,
perm_n1446290985reeRes: list_P227219501e_name > ( late_freeRes > late_freeRes ) > late_freeRes > late_freeRes ).
thf(func_def_62,type,
perm_n303101761ubject: list_P227219501e_name > ( late_freeRes > late_subject ) > late_freeRes > late_subject ).
thf(func_def_63,type,
perm_n443561793reeRes: list_P227219501e_name > ( late_subject > late_freeRes ) > late_subject > late_freeRes ).
thf(func_def_64,type,
perm_n1447856217ubject: list_P227219501e_name > ( late_subject > late_subject ) > late_subject > late_subject ).
thf(func_def_65,type,
perm_name_o: list_P227219501e_name > $o > $o ).
thf(func_def_66,type,
perm_name_name: list_P227219501e_name > name > name ).
thf(func_def_67,type,
perm_name_pi: list_P227219501e_name > pi > pi ).
thf(func_def_68,type,
perm_name_pi_Rep: list_P227219501e_name > pi_Rep > pi_Rep ).
thf(func_def_69,type,
perm_n336613537reeRes: list_P227219501e_name > late_freeRes > late_freeRes ).
thf(func_def_70,type,
perm_n1938283068es_Rep: list_P227219501e_name > late_freeRes_Rep > late_freeRes_Rep ).
thf(func_def_71,type,
perm_n414416632sidual: list_P227219501e_name > late_residual > late_residual ).
thf(func_def_72,type,
perm_n890803237al_Rep: list_P227219501e_name > late_residual_Rep > late_residual_Rep ).
thf(func_def_73,type,
perm_n1559866809ubject: list_P227219501e_name > late_subject > late_subject ).
thf(func_def_74,type,
perm_n697952036ct_Rep: list_P227219501e_name > late_subject_Rep > late_subject_Rep ).
thf(func_def_75,type,
perm_name_list_name: list_P227219501e_name > list_name > list_name ).
thf(func_def_76,type,
perm_name_list_pi: list_P227219501e_name > list_pi > list_pi ).
thf(func_def_77,type,
perm_n729617823pi_Rep: list_P227219501e_name > list_pi_Rep > list_pi_Rep ).
thf(func_def_78,type,
perm_n808352945reeRes: list_P227219501e_name > list_Late_freeRes > list_Late_freeRes ).
thf(func_def_79,type,
perm_n1812647369ubject: list_P227219501e_name > list_Late_subject > list_Late_subject ).
thf(func_def_80,type,
perm_n1160739829e_name: list_P227219501e_name > list_P227219501e_name > list_P227219501e_name ).
thf(func_def_81,type,
perm_n1255502110_pi_pi: list_P227219501e_name > produc1141751126_pi_pi > produc1141751126_pi_pi ).
thf(func_def_82,type,
perm_n1415585007_pi_pi: list_P227219501e_name > product_prod_pi_pi > product_prod_pi_pi ).
thf(func_def_83,type,
perm_n258463228s_name: list_P227219501e_name > produc2052722628s_name > produc2052722628s_name ).
thf(func_def_84,type,
perm_n1211707594Res_pi: list_P227219501e_name > produc992857746Res_pi > produc992857746Res_pi ).
thf(func_def_85,type,
perm_n840427369pi_Rep: list_P227219501e_name > produc1777919905pi_Rep > produc1777919905pi_Rep ).
thf(func_def_86,type,
perm_n169932155reeRes: list_P227219501e_name > produc1357834675reeRes > produc1357834675reeRes ).
thf(func_def_87,type,
perm_n1174226579ubject: list_P227219501e_name > produc214645451ubject > produc214645451ubject ).
thf(func_def_88,type,
perm_n204483300t_name: list_P227219501e_name > produc1998742700t_name > produc1998742700t_name ).
thf(func_def_89,type,
perm_n359102898ect_pi: list_P227219501e_name > produc140253050ect_pi > produc140253050ect_pi ).
thf(func_def_90,type,
perm_n1467004033pi_Rep: list_P227219501e_name > produc257012921pi_Rep > produc257012921pi_Rep ).
thf(func_def_91,type,
perm_n1314686611reeRes: list_P227219501e_name > produc355105483reeRes > produc355105483reeRes ).
thf(func_def_92,type,
perm_n171497387ubject: list_P227219501e_name > produc1359399907ubject > produc1359399907ubject ).
thf(func_def_93,type,
perm_n1960409557t_unit: list_P227219501e_name > product_unit > product_unit ).
thf(func_def_94,type,
perm_name_set_name: list_P227219501e_name > set_name > set_name ).
thf(func_def_95,type,
perm_name_set_pi: list_P227219501e_name > set_pi > set_pi ).
thf(func_def_96,type,
perm_name_set_pi_Rep: list_P227219501e_name > set_pi_Rep > set_pi_Rep ).
thf(func_def_97,type,
perm_n1555914327reeRes: list_P227219501e_name > set_Late_freeRes > set_Late_freeRes ).
thf(func_def_98,type,
perm_n412725103ubject: list_P227219501e_name > set_Late_subject > set_Late_subject ).
thf(func_def_99,type,
perm_n675238095_pi_pi: list_P227219501e_name > set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi ).
thf(func_def_100,type,
swap_name2: produc367475239e_name > name > name ).
thf(func_def_101,type,
produc1570949143e_name: name > name > produc367475239e_name ).
thf(func_def_102,type,
product_Pair_name_pi: name > pi > product_prod_name_pi ).
thf(func_def_103,type,
produc235456326_pi_pi: name > product_prod_pi_pi > produc1141751126_pi_pi ).
thf(func_def_104,type,
produc1785453612t_unit: name > product_unit > produc546891580t_unit ).
thf(func_def_105,type,
product_Pair_pi_name: pi > name > product_prod_pi_name ).
thf(func_def_106,type,
product_Pair_pi_pi: pi > pi > product_prod_pi_pi ).
thf(func_def_107,type,
produc1831798878t_unit: pi > product_unit > produc1028309998t_unit ).
thf(func_def_108,type,
produc784048711pi_Rep: pi_Rep > pi_Rep > produc1212344719pi_Rep ).
thf(func_def_109,type,
produc1701355766s_name: late_freeRes > name > produc2052722628s_name ).
thf(func_def_110,type,
produc1177552196Res_pi: late_freeRes > pi > produc992857746Res_pi ).
thf(func_def_111,type,
produc216486617pi_Rep: late_freeRes > pi_Rep > produc1777919905pi_Rep ).
thf(func_def_112,type,
produc1244821099reeRes: late_freeRes > late_freeRes > produc1357834675reeRes ).
thf(func_def_113,type,
produc320590723ubject: late_freeRes > late_subject > produc214645451ubject ).
thf(func_def_114,type,
produc1647375838t_name: late_subject > name > produc1998742700t_name ).
thf(func_def_115,type,
produc324947500ect_pi: late_subject > pi > produc140253050ect_pi ).
thf(func_def_116,type,
produc843063281pi_Rep: late_subject > pi_Rep > produc257012921pi_Rep ).
thf(func_def_117,type,
produc242091907reeRes: late_subject > late_freeRes > produc355105483reeRes ).
thf(func_def_118,type,
produc1465345179ubject: late_subject > late_subject > produc1359399907ubject ).
thf(func_def_119,type,
produc421428802t_name: product_unit > name > produc135724498t_name ).
thf(func_def_120,type,
produc1806354576nit_pi: product_unit > pi > produc738223008nit_pi ).
thf(func_def_121,type,
produc1076565719t_unit: product_unit > product_unit > produc971140967t_unit ).
thf(func_def_122,type,
product_Unity: product_unit ).
thf(func_def_123,type,
eqvt_name: set_Pr443758855e_name > $o ).
thf(func_def_124,type,
eqvt_pi: set_Pr1834926343_pi_pi > $o ).
thf(func_def_125,type,
eqvt_pi_Rep: set_Pr1131282415pi_Rep > $o ).
thf(func_def_126,type,
eqvt_Late_freeRes: set_Pr1780909331reeRes > $o ).
thf(func_def_127,type,
eqvt_Late_subject: set_Pr806375235ubject > $o ).
thf(func_def_128,type,
collec1051790738_pi_pi: ( product_prod_pi_pi > $o ) > set_Pr1834926343_pi_pi ).
thf(func_def_129,type,
strong2129052853vative: pi > pi > late_subject > name > set_Pr1834926343_pi_pi > $o ).
thf(func_def_130,type,
strong743114133lation: pi > set_Pr1834926343_pi_pi > pi > $o ).
thf(func_def_131,type,
member_name: name > set_name > $o ).
thf(func_def_132,type,
member_pi: pi > set_pi > $o ).
thf(func_def_133,type,
member_pi_Rep: pi_Rep > set_pi_Rep > $o ).
thf(func_def_134,type,
member_Late_freeRes: late_freeRes > set_Late_freeRes > $o ).
thf(func_def_135,type,
member_Late_subject: late_subject > set_Late_subject > $o ).
thf(func_def_136,type,
member695284560e_name: produc367475239e_name > set_Pr443758855e_name > $o ).
thf(func_def_137,type,
member558706512_pi_pi: product_prod_pi_pi > set_Pr1834926343_pi_pi > $o ).
thf(func_def_138,type,
member1671908408pi_Rep: produc1212344719pi_Rep > set_Pr1131282415pi_Rep > $o ).
thf(func_def_139,type,
member1584979804reeRes: produc1357834675reeRes > set_Pr1780909331reeRes > $o ).
thf(func_def_140,type,
member1586545036ubject: produc1359399907ubject > set_Pr806375235ubject > $o ).
thf(func_def_141,type,
p: pi ).
thf(func_def_142,type,
pq: pi ).
thf(func_def_143,type,
p2: pi ).
thf(func_def_144,type,
q: pi ).
thf(func_def_145,type,
q2: pi ).
thf(func_def_146,type,
rel: set_Pr1834926343_pi_pi ).
thf(func_def_147,type,
aa: late_subject ).
thf(func_def_148,type,
ab: name ).
thf(func_def_149,type,
b: name ).
thf(func_def_150,type,
c: name ).
thf(func_def_151,type,
x: name ).
thf(func_def_152,type,
xPQ: pi ).
thf(func_def_153,type,
y: name ).
thf(func_def_154,type,
ya: name ).
thf(func_def_158,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_159,type,
vIMP: $o > $o > $o ).
thf(func_def_160,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_161,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_162,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_163,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_164,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_165,type,
vNOT: $o > $o ).
thf(func_def_166,type,
vAND: $o > $o > $o ).
thf(func_def_167,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_168,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_169,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_170,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_171,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_172,type,
sP0: name > pi > late_residual > $o ).
thf(func_def_173,type,
sP1: late_subject > name > pi > name > pi > $o ).
thf(func_def_174,type,
sP2: produc1141751126_pi_pi > pi > pi > name > set_Pr1834926343_pi_pi > $o ).
thf(func_def_175,type,
sP3: pi > pi > pi > set_Pr1834926343_pi_pi > name > $o ).
thf(func_def_176,type,
sP4: set_Pr1834926343_pi_pi > pi > name > product_unit > pi > $o ).
thf(func_def_177,type,
sP5: late_subject > name > pi > pi > pi > $o ).
thf(func_def_178,type,
sP6: name > pi > name > set_Pr1834926343_pi_pi > pi > $o ).
thf(func_def_179,type,
sK7: ( name > late_residual > $o ) > name ).
thf(func_def_180,type,
sK8: ( name > late_residual > $o ) > pi ).
thf(func_def_181,type,
sK9: ( name > late_residual > $o ) > late_subject ).
thf(func_def_182,type,
sK10: ( name > late_residual > $o ) > name ).
thf(func_def_183,type,
sK11: ( name > late_residual > $o ) > pi ).
thf(func_def_184,type,
sK12: ( name > late_residual > $o ) > late_freeRes ).
thf(func_def_185,type,
sK13: ( name > late_residual > $o ) > name ).
thf(func_def_186,type,
sK14: set_Pr1834926343_pi_pi > pi ).
thf(func_def_187,type,
sK15: set_Pr1834926343_pi_pi > pi ).
thf(func_def_188,type,
sK16: set_Pr1834926343_pi_pi > pi ).
thf(func_def_189,type,
sK17: set_Pr1834926343_pi_pi > name ).
thf(func_def_190,type,
sK18: set_Pr1834926343_pi_pi > name ).
thf(func_def_191,type,
sK19: set_Pr1834926343_pi_pi > pi ).
thf(func_def_192,type,
sK20: set_Pr1834926343_pi_pi > pi ).
thf(func_def_193,type,
sK21: set_Pr1834926343_pi_pi > pi ).
thf(func_def_194,type,
sK22: set_Pr1834926343_pi_pi > pi ).
thf(func_def_195,type,
sK23: set_Pr1834926343_pi_pi > pi ).
thf(func_def_196,type,
sK24: set_Pr1834926343_pi_pi > pi ).
thf(func_def_197,type,
sK25: set_Pr1834926343_pi_pi > name ).
thf(func_def_198,type,
sK26: set_Pr1834926343_pi_pi > pi ).
thf(func_def_199,type,
sK27: set_Pr1834926343_pi_pi > pi ).
thf(func_def_200,type,
sK28: name > pi > late_residual > pi ).
thf(func_def_201,type,
sK29: name > pi > late_residual > name ).
thf(func_def_202,type,
sK30: name > pi > late_residual > name ).
thf(func_def_203,type,
sK31: name > pi > late_residual > pi ).
thf(func_def_204,type,
sK32: name > pi > late_residual > late_subject ).
thf(func_def_205,type,
sK33: pi > late_residual > name > name ).
thf(func_def_206,type,
sK34: pi > late_residual > name > pi ).
thf(func_def_207,type,
sK35: pi > late_residual > name > pi ).
thf(func_def_208,type,
sK36: pi > late_residual > name > late_freeRes ).
thf(func_def_209,type,
sK37: pi > late_residual > name > name ).
thf(func_def_210,type,
sK38: pi > late_residual > name > name ).
thf(func_def_211,type,
sK39: pi > late_residual > name > pi ).
thf(func_def_212,type,
sK40: pi > late_residual > name > pi ).
thf(func_def_213,type,
sK41: pi > set_Pr1834926343_pi_pi > pi > product_unit > name ).
thf(func_def_214,type,
sK42: pi > set_Pr1834926343_pi_pi > pi > product_unit > late_subject ).
thf(func_def_215,type,
sK43: pi > set_Pr1834926343_pi_pi > pi > product_unit > pi ).
thf(func_def_216,type,
sK44: pi > set_Pr1834926343_pi_pi > pi > pi ).
thf(func_def_217,type,
sK45: pi > set_Pr1834926343_pi_pi > pi > late_freeRes ).
thf(func_def_218,type,
sK46: pi > set_Pr1834926343_pi_pi > late_freeRes > pi > pi ).
thf(func_def_219,type,
sK47: name > name ).
thf(func_def_220,type,
sK48: ( produc1141751126_pi_pi > late_residual > $o ) > name ).
thf(func_def_221,type,
sK49: ( produc1141751126_pi_pi > late_residual > $o ) > produc1141751126_pi_pi ).
thf(func_def_222,type,
sK50: ( produc1141751126_pi_pi > late_residual > $o ) > late_subject ).
thf(func_def_223,type,
sK51: ( produc1141751126_pi_pi > late_residual > $o ) > pi ).
thf(func_def_224,type,
sK52: ( produc1141751126_pi_pi > late_residual > $o ) > late_freeRes ).
thf(func_def_225,type,
sK53: ( produc1141751126_pi_pi > late_residual > $o ) > pi ).
thf(func_def_226,type,
sK54: ( produc1141751126_pi_pi > late_residual > $o ) > produc1141751126_pi_pi ).
thf(func_def_227,type,
sK55: pi > pi > ( pi > $o ) > late_subject > name > pi ).
thf(func_def_228,type,
sK56: pi > pi > ( pi > $o ) > late_subject > name > pi ).
thf(func_def_229,type,
sK57: late_subject > name > pi > name > pi > name ).
thf(func_def_230,type,
sK58: late_subject > name > pi > name > pi > name ).
thf(func_def_231,type,
sK59: late_subject > name > pi > name > pi > pi ).
thf(func_def_232,type,
sK60: late_subject > name > pi > name > pi > pi ).
thf(func_def_233,type,
sK61: late_subject > name > pi > name > pi > late_subject ).
thf(func_def_234,type,
sK62: pi > name > pi > name > late_subject > name ).
thf(func_def_235,type,
sK63: pi > name > pi > name > late_subject > name ).
thf(func_def_236,type,
sK64: pi > name > pi > name > late_subject > pi ).
thf(func_def_237,type,
sK65: pi > name > pi > name > late_subject > pi ).
thf(func_def_238,type,
sK66: ( produc1141751126_pi_pi > late_residual > $o ) > produc1141751126_pi_pi ).
thf(func_def_239,type,
sK67: ( produc1141751126_pi_pi > late_residual > $o ) > late_subject ).
thf(func_def_240,type,
sK68: ( produc1141751126_pi_pi > late_residual > $o ) > pi ).
thf(func_def_241,type,
sK69: ( produc1141751126_pi_pi > late_residual > $o ) > name ).
thf(func_def_242,type,
sK70: ( produc1141751126_pi_pi > late_residual > $o ) > produc1141751126_pi_pi ).
thf(func_def_243,type,
sK71: ( produc1141751126_pi_pi > late_residual > $o ) > pi ).
thf(func_def_244,type,
sK72: ( produc1141751126_pi_pi > late_residual > $o ) > late_freeRes ).
thf(func_def_245,type,
sK73: name > late_freeRes > pi > pi > pi ).
thf(func_def_246,type,
sK74: name > late_freeRes > pi > pi > name ).
thf(func_def_247,type,
sK75: name > late_freeRes > pi > pi > pi ).
thf(func_def_248,type,
sK76: name > late_freeRes > pi > pi > late_freeRes ).
thf(func_def_249,type,
sK77: produc1141751126_pi_pi > name ).
thf(func_def_250,type,
sK78: ( pi > late_residual > $o ) > pi ).
thf(func_def_251,type,
sK79: ( pi > late_residual > $o ) > late_freeRes ).
thf(func_def_252,type,
sK80: ( pi > late_residual > $o ) > pi ).
thf(func_def_253,type,
sK81: ( pi > late_residual > $o ) > pi ).
thf(func_def_254,type,
sK82: ( pi > late_residual > $o ) > pi ).
thf(func_def_255,type,
sK83: ( pi > late_residual > $o ) > late_subject ).
thf(func_def_256,type,
sK84: ( pi > late_residual > $o ) > name ).
thf(func_def_257,type,
sK85: ( product_unit > late_residual > $o ) > late_freeRes ).
thf(func_def_258,type,
sK86: ( product_unit > late_residual > $o ) > pi ).
thf(func_def_259,type,
sK87: ( product_unit > late_residual > $o ) > product_unit ).
thf(func_def_260,type,
sK88: ( product_unit > late_residual > $o ) > pi ).
thf(func_def_261,type,
sK89: ( product_unit > late_residual > $o ) > late_subject ).
thf(func_def_262,type,
sK90: ( product_unit > late_residual > $o ) > name ).
thf(func_def_263,type,
sK91: ( product_unit > late_residual > $o ) > product_unit ).
thf(func_def_264,type,
sK92: product_unit > name ).
thf(func_def_265,type,
sK93: name > late_subject > name > pi > ( late_subject > pi > $o ) > pi ).
thf(func_def_266,type,
sK94: name > late_subject > name > pi > ( late_subject > pi > $o ) > name ).
thf(func_def_267,type,
sK95: name > late_subject > name > pi > ( late_subject > pi > $o ) > pi ).
thf(func_def_268,type,
sK96: ( product_unit > late_residual > $o ) > pi ).
thf(func_def_269,type,
sK97: ( product_unit > late_residual > $o ) > product_unit ).
thf(func_def_270,type,
sK98: ( product_unit > late_residual > $o ) > late_freeRes ).
thf(func_def_271,type,
sK99: ( product_unit > late_residual > $o ) > name ).
thf(func_def_272,type,
sK100: ( product_unit > late_residual > $o ) > product_unit ).
thf(func_def_273,type,
sK101: ( product_unit > late_residual > $o ) > late_subject ).
thf(func_def_274,type,
sK102: ( product_unit > late_residual > $o ) > pi ).
thf(func_def_275,type,
sK103: late_freeRes > name ).
thf(func_def_276,type,
sK104: late_freeRes > name ).
thf(func_def_277,type,
sK105: ( list_P227219501e_name > $o ) > list_P227219501e_name ).
thf(func_def_278,type,
sK106: ( late_subject > $o ) > name ).
thf(func_def_279,type,
sK107: ( late_subject > $o ) > name ).
thf(func_def_280,type,
sK108: ( late_residual > $o ) > name ).
thf(func_def_281,type,
sK109: ( late_residual > $o ) > late_subject ).
thf(func_def_282,type,
sK110: ( late_residual > $o ) > pi ).
thf(func_def_283,type,
sK111: ( late_residual > $o ) > pi ).
thf(func_def_284,type,
sK112: ( late_residual > $o ) > late_freeRes ).
thf(func_def_285,type,
sK113: ( pi > late_residual > $o ) > pi ).
thf(func_def_286,type,
sK114: ( pi > late_residual > $o ) > late_freeRes ).
thf(func_def_287,type,
sK115: ( pi > late_residual > $o ) > pi ).
thf(func_def_288,type,
sK116: ( pi > late_residual > $o ) > pi ).
thf(func_def_289,type,
sK117: ( pi > late_residual > $o ) > name ).
thf(func_def_290,type,
sK118: ( pi > late_residual > $o ) > pi ).
thf(func_def_291,type,
sK119: ( pi > late_residual > $o ) > late_subject ).
thf(func_def_292,type,
sK120: produc1141751126_pi_pi > pi > pi > name > set_Pr1834926343_pi_pi > pi ).
thf(func_def_293,type,
sK121: produc1141751126_pi_pi > pi > pi > name > set_Pr1834926343_pi_pi > name ).
thf(func_def_294,type,
sK122: produc1141751126_pi_pi > pi > pi > name > set_Pr1834926343_pi_pi > late_subject ).
thf(func_def_295,type,
sK123: pi > set_Pr1834926343_pi_pi > pi > name > pi ).
thf(func_def_296,type,
sK124: pi > set_Pr1834926343_pi_pi > pi > name > name ).
thf(func_def_297,type,
sK125: pi > set_Pr1834926343_pi_pi > pi > name > pi ).
thf(func_def_298,type,
sK126: pi > set_Pr1834926343_pi_pi > pi > name > late_freeRes ).
thf(func_def_299,type,
sK127: produc1141751126_pi_pi > set_Pr1834926343_pi_pi > pi > pi > late_subject ).
thf(func_def_300,type,
sK128: produc1141751126_pi_pi > set_Pr1834926343_pi_pi > pi > pi > name ).
thf(func_def_301,type,
sK129: produc1141751126_pi_pi > set_Pr1834926343_pi_pi > pi > pi > pi ).
thf(func_def_302,type,
sK130: set_Pr1834926343_pi_pi > pi > pi > pi ).
thf(func_def_303,type,
sK131: set_Pr1834926343_pi_pi > pi > pi > late_freeRes ).
thf(func_def_304,type,
sK132: pi > pi > pi > set_Pr1834926343_pi_pi > name > late_subject ).
thf(func_def_305,type,
sK133: pi > pi > pi > set_Pr1834926343_pi_pi > name > name ).
thf(func_def_306,type,
sK134: pi > pi > pi > set_Pr1834926343_pi_pi > name > pi ).
thf(func_def_307,type,
sK135: set_Pr1834926343_pi_pi > pi > pi > name > late_freeRes ).
thf(func_def_308,type,
sK136: set_Pr1834926343_pi_pi > pi > pi > name > pi ).
thf(func_def_309,type,
sK137: set_Pr1834926343_pi_pi > pi > pi > name > name ).
thf(func_def_310,type,
sK138: set_Pr1834926343_pi_pi > pi > pi > name > pi ).
thf(func_def_311,type,
sK139: name > pi > pi > late_subject > set_Pr1834926343_pi_pi > pi ).
thf(func_def_312,type,
sK140: late_subject > name ).
thf(func_def_313,type,
sK141: late_subject > name ).
thf(func_def_314,type,
sK142: ( name > late_residual > $o ) > name ).
thf(func_def_315,type,
sK143: ( name > late_residual > $o ) > late_subject ).
thf(func_def_316,type,
sK144: ( name > late_residual > $o ) > pi ).
thf(func_def_317,type,
sK145: ( name > late_residual > $o ) > name ).
thf(func_def_318,type,
sK146: ( name > late_residual > $o ) > late_freeRes ).
thf(func_def_319,type,
sK147: ( name > late_residual > $o ) > name ).
thf(func_def_320,type,
sK148: ( name > late_residual > $o ) > pi ).
thf(func_def_321,type,
sK149: ( late_freeRes > $o ) > name ).
thf(func_def_322,type,
sK150: ( late_freeRes > $o ) > name ).
thf(func_def_323,type,
sK151: set_Pr1834926343_pi_pi > pi > name > product_unit > pi > late_subject ).
thf(func_def_324,type,
sK152: set_Pr1834926343_pi_pi > pi > name > product_unit > pi > name ).
thf(func_def_325,type,
sK153: set_Pr1834926343_pi_pi > pi > name > product_unit > pi > pi ).
thf(func_def_326,type,
sK154: set_Pr1834926343_pi_pi > name > pi > pi > late_freeRes ).
thf(func_def_327,type,
sK155: set_Pr1834926343_pi_pi > name > pi > pi > pi ).
thf(func_def_328,type,
sK156: set_Pr1834926343_pi_pi > name > pi > pi > pi ).
thf(func_def_329,type,
sK157: set_Pr1834926343_pi_pi > name > pi > pi > name ).
thf(func_def_330,type,
sK158: pi > pi > set_Pr1834926343_pi_pi > late_subject ).
thf(func_def_331,type,
sK159: pi > pi > set_Pr1834926343_pi_pi > pi ).
thf(func_def_332,type,
sK160: pi > pi > set_Pr1834926343_pi_pi > name ).
thf(func_def_333,type,
sK161: pi > pi > set_Pr1834926343_pi_pi > late_freeRes ).
thf(func_def_334,type,
sK162: pi > pi > set_Pr1834926343_pi_pi > pi ).
thf(func_def_335,type,
sK163: name > ( pi > $o ) > pi > late_freeRes > pi ).
thf(func_def_336,type,
sK164: late_subject > name > pi > pi > pi > pi ).
thf(func_def_337,type,
sK165: late_subject > name > pi > pi > pi > pi ).
thf(func_def_338,type,
sK166: late_subject > name > pi > pi > pi > pi ).
thf(func_def_339,type,
sK167: late_subject > name > pi > pi > pi > late_subject ).
thf(func_def_340,type,
sK168: late_subject > name > pi > pi > pi > name ).
thf(func_def_341,type,
sK169: pi > late_subject > pi > pi > name > pi ).
thf(func_def_342,type,
sK170: pi > late_subject > pi > pi > name > name ).
thf(func_def_343,type,
sK171: pi > late_subject > pi > pi > name > pi ).
thf(func_def_344,type,
sK172: pi > late_subject > pi > pi > name > late_subject ).
thf(func_def_345,type,
sK173: pi > late_subject > pi > pi > name > pi ).
thf(func_def_346,type,
sK174: pi > set_Pr1834926343_pi_pi > pi > pi ).
thf(func_def_347,type,
sK175: pi > set_Pr1834926343_pi_pi > pi > late_freeRes ).
thf(func_def_348,type,
sK176: pi > pi > set_Pr1834926343_pi_pi > pi > pi ).
thf(func_def_349,type,
sK177: pi > pi > set_Pr1834926343_pi_pi > pi > name ).
thf(func_def_350,type,
sK178: pi > pi > set_Pr1834926343_pi_pi > pi > late_subject ).
thf(func_def_351,type,
sK179: set_Pr1834926343_pi_pi > pi ).
thf(func_def_352,type,
sK180: set_Pr1834926343_pi_pi > pi ).
thf(func_def_353,type,
sK181: set_Pr1834926343_pi_pi > name ).
thf(func_def_354,type,
sK182: set_Pr1834926343_pi_pi > pi ).
thf(func_def_355,type,
sK183: set_Pr1834926343_pi_pi > pi ).
thf(func_def_356,type,
sK184: set_Pr1834926343_pi_pi > pi > pi > pi ).
thf(func_def_357,type,
sK185: set_Pr1834926343_pi_pi > pi > pi > late_freeRes ).
thf(func_def_358,type,
sK186: set_Pr1834926343_pi_pi > pi > name > pi > pi ).
thf(func_def_359,type,
sK187: set_Pr1834926343_pi_pi > pi > name > pi > name ).
thf(func_def_360,type,
sK188: set_Pr1834926343_pi_pi > pi > name > pi > late_subject ).
thf(func_def_361,type,
sK189: name > pi > name > set_Pr1834926343_pi_pi > pi > name ).
thf(func_def_362,type,
sK190: name > pi > name > set_Pr1834926343_pi_pi > pi > pi ).
thf(func_def_363,type,
sK191: name > pi > name > set_Pr1834926343_pi_pi > pi > late_subject ).
thf(func_def_364,type,
sK192: pi > name > set_Pr1834926343_pi_pi > pi > name ).
thf(func_def_365,type,
sK193: pi > name > set_Pr1834926343_pi_pi > pi > pi ).
thf(func_def_366,type,
sK194: pi > name > set_Pr1834926343_pi_pi > pi > pi ).
thf(func_def_367,type,
sK195: pi > name > set_Pr1834926343_pi_pi > pi > late_freeRes ).
thf(func_def_368,type,
sK196: pi > name ).
thf(func_def_370,type,
inv_late_BoundOutputS_198: late_subject > name ).
thf(func_def_371,type,
inv_perm_name_pi_199: list_P227219501e_name > pi > pi ).
thf(f2,axiom,
( ( late_OutputR @ ab @ x )
= late_TauR ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_cComm1_Ohyps_I9_J) ).
thf(f325,axiom,
! [X0: name,X1: name] :
( ( late_OutputR @ X0 @ X1 )
!= late_TauR ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_324_Late__Semantics1_OfreeRes_Odistinct_I1_J) ).
thf(f1636,plain,
( ( late_OutputR @ ab @ x )
= late_TauR ),
inference(cnf_transformation,[],[f2]) ).
thf(f1818,plain,
! [X0: name,X1: name] :
( late_TauR
!= ( late_OutputR @ X0 @ X1 ) ),
inference(cnf_transformation,[],[f325]) ).
thf(f2331,definition,
( spl197_11
<=> ( ( late_OutputR @ ab @ x )
= late_TauR ) ),
introduced(definition,[new_symbols(definition,[spl197_11])],[avatar_definition]) ).
thf(f2333,plain,
( ( ( late_OutputR @ ab @ x )
= late_TauR )
| ~ spl197_11 ),
inference(avatar_component_clause,[],[f2331]) ).
thf(f2334,plain,
spl197_11,
inference(avatar_split_clause,[],[f1636,f2331]) ).
thf(f2481,plain,
( ( late_TauR != late_TauR )
| ~ spl197_11 ),
inference(superposition,[],[f1818,f2333]) ).
thf(f2482,plain,
( $false
| ~ spl197_11 ),
inference(trivial_inequality_removal,[],[f2481]) ).
thf(f2483,plain,
~ spl197_11,
inference(avatar_contradiction_clause,[],[f2482]) ).
cnf(s11,plain,
spl197_11,
inference(sat_conversion,[],[f2334]) ).
cnf(s32,plain,
~ spl197_11,
inference(sat_conversion,[],[f2483]) ).
cnf(s34,plain,
$false,
inference(rat,[],[s11,s32]) ).
thf(f2484,plain,
$false,
inference(avatar_sat_refutation,[],[s34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ITP191^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Tue Sep 29 20:09:18 UTC 2026
% 0.00/0.10 % CPUTime :
% 0.00/0.10 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.12 Running higher-order theorem proving
% 0.08/0.15 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
% 0.39/0.25 % (622294)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.39/0.25 % (622305)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.39/0.25 % (622305)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
% 0.39/0.25 % (622303)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3636396106:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.39/0.25 % (622300)lrs+10_16_si=on:nwc=1.5:random_seed=3286213143:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.39/0.25 % (622301)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=481687458:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.39/0.25 % (622299)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3503091669:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.39/0.25 % (622302)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=2604958996: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)
% 0.39/0.25 % (622304)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=21836277:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.39/0.25 % (622305)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=2481325664:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.39/0.25 % (622301)Instruction limit reached!
% 0.39/0.25 % (622301)------------------------------
% 0.39/0.25 % (622301)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.25 % (622301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.25 % (622301)CaDiCaL version: 2.1.3
% 0.39/0.25 % (622301)Termination reason: Instruction limit
% 0.39/0.25 % (622301)Termination phase: shuffling
% 0.39/0.25 % (622301)Time elapsed: 0.004 s
% 0.39/0.25 % (622301)Peak memory usage: 10 MB
% 0.39/0.25 % (622301)Instructions burned: 16 (million)
% 0.39/0.25 % (622300)Instruction limit reached!
% 0.39/0.25 % (622300)------------------------------
% 0.39/0.25 % (622300)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.25 % (622300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.25 % (622300)CaDiCaL version: 2.1.3
% 0.39/0.25 % (622300)Termination reason: Instruction limit
% 0.39/0.25 % (622300)Termination phase: shuffling
% 0.39/0.25 % (622300)Time elapsed: 0.005 s
% 0.39/0.25 % (622300)Peak memory usage: 10 MB
% 0.39/0.25 % (622300)Instructions burned: 22 (million)
% 0.39/0.25 % (622303)Instruction limit reached!
% 0.39/0.25 % (622303)------------------------------
% 0.39/0.25 % (622303)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.25 % (622303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.25 % (622303)CaDiCaL version: 2.1.3
% 0.39/0.25 % (622303)Termination reason: Instruction limit
% 0.39/0.25 % (622303)Termination phase: shuffling
% 0.39/0.25 % (622303)Time elapsed: 0.006 s
% 0.39/0.25 % (622303)Peak memory usage: 10 MB
% 0.39/0.25 % (622303)Instructions burned: 26 (million)
% 0.39/0.25 % (622315)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.39/0.25 % (622313)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3647946483:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.39/0.25 % (622314)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4280143412:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.39/0.25 % (622315)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3840482872:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.39/0.25 % (622314)Instruction limit reached!
% 0.39/0.25 % (622314)------------------------------
% 0.39/0.25 % (622314)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.26 % (622314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.26 % (622314)CaDiCaL version: 2.1.3
% 0.39/0.26 % (622314)Termination reason: Instruction limit
% 0.39/0.26 % (622314)Termination phase: shuffling
% 0.39/0.26 % (622314)Time elapsed: 0.002 s
% 0.39/0.26 % (622314)Peak memory usage: 10 MB
% 0.39/0.26 % (622314)Instructions burned: 8 (million)
% 0.39/0.26 % (622313)Instruction limit reached!
% 0.39/0.26 % (622313)------------------------------
% 0.39/0.26 % (622313)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.26 % (622313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.26 % (622313)CaDiCaL version: 2.1.3
% 0.39/0.26 % (622313)Termination reason: Instruction limit
% 0.39/0.26 % (622313)Termination phase: shuffling
% 0.39/0.26 % (622313)Time elapsed: 0.003 s
% 0.39/0.26 % (622313)Peak memory usage: 10 MB
% 0.39/0.26 % (622313)Instructions burned: 11 (million)
% 0.39/0.26 % (622304)Instruction limit reached!
% 0.39/0.26 % (622304)------------------------------
% 0.39/0.26 % (622304)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.26 % (622304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.26 % (622304)CaDiCaL version: 2.1.3
% 0.39/0.26 % (622304)Termination reason: Instruction limit
% 0.39/0.26 % (622304)Termination phase: Preprocessing 3
% 0.39/0.26 % (622304)Time elapsed: 0.018 s
% 0.39/0.26 % (622304)Peak memory usage: 12 MB
% 0.39/0.26 % (622304)Instructions burned: 78 (million)
% 0.39/0.26 % (622315)Instruction limit reached!
% 0.39/0.26 % (622315)------------------------------
% 0.39/0.26 % (622315)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.26 % (622315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.26 % (622315)CaDiCaL version: 2.1.3
% 0.39/0.26 % (622315)Termination reason: Instruction limit
% 0.39/0.26 % (622315)Termination phase: shuffling
% 0.39/0.26 % (622315)Time elapsed: 0.002 s
% 0.39/0.26 % (622315)Peak memory usage: 10 MB
% 0.39/0.26 % (622315)Instructions burned: 8 (million)
% 0.39/0.26 % (622299)Instruction limit reached!
% 0.39/0.26 % (622299)------------------------------
% 0.39/0.26 % (622299)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.26 % (622299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.26 % (622299)CaDiCaL version: 2.1.3
% 0.39/0.26 % (622299)Termination reason: Instruction limit
% 0.39/0.26 % (622299)Termination phase: Preprocessing 3
% 0.39/0.26 % (622299)Time elapsed: 0.025 s
% 0.39/0.26 % (622299)Peak memory usage: 12 MB
% 0.39/0.26 % (622299)Instructions burned: 88 (million)
% 0.39/0.26 % (622320)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
% 0.39/0.26 % (622320)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.39/0.26 % (622320)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2584576295:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.39/0.26 % (622319)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3806037090:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.39/0.26 % (622322)lrs+10_1_si=on:cs=on:random_seed=71385507:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.39/0.26 % (622321)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=3821807849:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.39/0.26 % (622319)Instruction limit reached!
% 0.39/0.26 % (622319)------------------------------
% 0.39/0.26 % (622319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.26 % (622319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.26 % (622319)CaDiCaL version: 2.1.3
% 0.39/0.26 % (622319)Termination reason: Instruction limit
% 0.39/0.26 % (622319)Termination phase: shuffling
% 0.39/0.26 % (622319)Time elapsed: 0.003 s
% 0.39/0.26 % (622319)Peak memory usage: 10 MB
% 0.39/0.26 % (622319)Instructions burned: 14 (million)
% 0.39/0.26 % (622322)Instruction limit reached!
% 0.39/0.26 % (622322)------------------------------
% 0.39/0.26 % (622322)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.26 % (622322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.26 % (622322)CaDiCaL version: 2.1.3
% 0.39/0.26 % (622322)Termination reason: Instruction limit
% 0.39/0.26 % (622322)Termination phase: shuffling
% 0.39/0.26 % (622322)Time elapsed: 0.003 s
% 0.39/0.26 % (622322)Peak memory usage: 10 MB
% 0.39/0.26 % (622322)Instructions burned: 12 (million)
% 0.39/0.26 % (622320)Instruction limit reached!
% 0.39/0.26 % (622320)------------------------------
% 0.39/0.26 % (622320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.26 % (622320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.26 % (622320)CaDiCaL version: 2.1.3
% 0.39/0.26 % (622320)Termination reason: Instruction limit
% 0.39/0.26 % (622320)Termination phase: shuffling
% 0.39/0.26 % (622320)Time elapsed: 0.006 s
% 0.39/0.26 % (622320)Peak memory usage: 10 MB
% 0.39/0.26 % (622320)Instructions burned: 29 (million)
% 0.39/0.26 % (622305)Instruction limit reached!
% 0.39/0.26 % (622305)------------------------------
% 0.39/0.26 % (622305)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.26 % (622305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.26 % (622305)CaDiCaL version: 2.1.3
% 0.39/0.26 % (622305)Termination reason: Instruction limit
% 0.39/0.26 % (622305)Termination phase: Property scanning
% 0.39/0.26 % (622305)Time elapsed: 0.040 s
% 0.39/0.26 % (622305)Peak memory usage: 13 MB
% 0.39/0.26 % (622305)Instructions burned: 158 (million)
% 0.39/0.26 % (622329)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2445165240:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.39/0.26 % (622328)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2728226041:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.39/0.26 % (622327)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.39/0.26 % (622330)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=4089722337:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.39/0.26 % (622327)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=2288168017:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.39/0.26 % (622327)Instruction limit reached!
% 0.39/0.26 % (622327)------------------------------
% 0.39/0.26 % (622327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.26 % (622327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.26 % (622327)CaDiCaL version: 2.1.3
% 0.39/0.26 % (622327)Termination reason: Instruction limit
% 0.39/0.26 % (622327)Termination phase: shuffling
% 0.39/0.26 % (622327)Time elapsed: 0.001 s
% 0.39/0.26 % (622327)Peak memory usage: 10 MB
% 0.39/0.26 % (622327)Instructions burned: 5 (million)
% 0.39/0.26 % (622321)Instruction limit reached!
% 0.39/0.26 % (622321)------------------------------
% 0.39/0.26 % (622321)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.26 % (622321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.27 % (622321)CaDiCaL version: 2.1.3
% 0.39/0.27 % (622321)Termination reason: Instruction limit
% 0.39/0.27 % (622321)Termination phase: Property scanning
% 0.39/0.27 % (622321)Time elapsed: 0.020 s
% 0.39/0.27 % (622321)Peak memory usage: 11 MB
% 0.39/0.27 % (622321)Instructions burned: 90 (million)
% 0.39/0.27 % (622331)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3921218267:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.39/0.27 % (622328)Instruction limit reached!
% 0.39/0.27 % (622328)------------------------------
% 0.39/0.27 % (622328)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.27 % (622328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.27 % (622328)CaDiCaL version: 2.1.3
% 0.39/0.27 % (622328)Termination reason: Instruction limit
% 0.39/0.27 % (622328)Termination phase: Property scanning
% 0.39/0.27 % (622328)Time elapsed: 0.008 s
% 0.39/0.27 % (622328)Peak memory usage: 11 MB
% 0.39/0.27 % (622328)Instructions burned: 38 (million)
% 0.39/0.27 % (622330)Instruction limit reached!
% 0.39/0.27 % (622330)------------------------------
% 0.39/0.27 % (622330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.27 % (622330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.27 % (622330)CaDiCaL version: 2.1.3
% 0.39/0.27 % (622330)Termination reason: Instruction limit
% 0.39/0.27 % (622330)Termination phase: shuffling
% 0.39/0.27 % (622330)Time elapsed: 0.006 s
% 0.39/0.27 % (622330)Peak memory usage: 10 MB
% 0.39/0.27 % (622330)Instructions burned: 28 (million)
% 0.39/0.27 % (622331)Instruction limit reached!
% 0.39/0.27 % (622331)------------------------------
% 0.39/0.27 % (622331)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.27 % (622331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.27 % (622331)CaDiCaL version: 2.1.3
% 0.39/0.27 % (622331)Termination reason: Instruction limit
% 0.39/0.27 % (622331)Termination phase: shuffling
% 0.39/0.27 % (622331)Time elapsed: 0.004 s
% 0.39/0.27 % (622331)Peak memory usage: 10 MB
% 0.39/0.27 % (622331)Instructions burned: 16 (million)
% 0.39/0.27 % (622336)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=935808604:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.39/0.27 % (622337)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2452280753:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/14Mi)
% 0.39/0.27 % (622339)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2707807869:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.39/0.27 % (622340)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3566746782:i=26:ep=R:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/26Mi)
% 0.39/0.27 % (622302) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-622294-622302"...
% 0.39/0.27 % (622339)Instruction limit reached!
% 0.39/0.27 % (622339)------------------------------
% 0.39/0.27 % (622339)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.27 % (622339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.27 % (622339)CaDiCaL version: 2.1.3
% 0.39/0.27 % (622339)Termination reason: Instruction limit
% 0.39/0.27 % (622339)Termination phase: shuffling
% 0.39/0.27 % (622339)Time elapsed: 0.001 s
% 0.39/0.27 % (622339)Peak memory usage: 10 MB
% 0.39/0.27 % (622339)Instructions burned: 3 (million)
% 0.39/0.27 % (622302)...printing done.
% 0.39/0.27 % (622337)Instruction limit reached!
% 0.39/0.27 % (622337)------------------------------
% 0.39/0.27 % (622337)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.27 % (622337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.27 % (622337)CaDiCaL version: 2.1.3
% 0.39/0.27 % (622337)Termination reason: Instruction limit
% 0.39/0.27 % (622337)Termination phase: shuffling
% 0.39/0.27 % (622337)Time elapsed: 0.004 s
% 0.39/0.27 % (622337)Peak memory usage: 10 MB
% 0.39/0.27 % (622337)Instructions burned: 18 (million)
% 0.39/0.27 % (622341)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3483683528:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/23Mi)
% 0.39/0.27 % (622302)Refutation found. Thanks to Tanya!
% 0.39/0.27 % SZS status ContradictoryAxioms for theBenchmark
% 0.39/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.39/0.27 % (622302)------------------------------
% 0.39/0.27 % (622302)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.27 % (622302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.27 % (622302)CaDiCaL version: 2.1.3
% 0.39/0.27 % (622302)Termination reason: Refutation
% 0.39/0.27 % (622302)Time elapsed: 0.063 s
% 0.39/0.27 % (622302)Peak memory usage: 15 MB
% 0.39/0.27 % (622302)Instructions burned: 264 (million)
% 0.39/0.27 % (622294)Success in time 0.106 s
% 0.39/0.27 % Vampire exiting
%------------------------------------------------------------------------------